TPTP Problem File: SYN545+1.p
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- Solve Problem
%--------------------------------------------------------------------------
% File : SYN545+1 : TPTP v8.2.0. Released v2.1.0.
% Domain : Syntactic (Translated)
% Problem : ALC, N=8, R=1, L=120, K=3, D=2, P=0, Index=072
% 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-8-1-120-3-2-072.dfg [Wei97]
% Status : CounterSatisfiable
% Rating : 0.00 v5.5.0, 0.30 v5.4.0, 0.20 v5.3.0, 0.50 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, 0.33 v3.2.0, 0.25 v3.1.0, 0.67 v2.7.0, 0.83 v2.6.0, 0.50 v2.5.0, 0.33 v2.4.0, 0.67 v2.2.1, 0.00 v2.1.0
% Syntax : Number of formulae : 1 ( 0 unt; 0 def)
% Number of atoms : 1181 ( 0 equ)
% Maximal formula atoms : 1181 (1181 avg)
% Number of connectives : 1614 ( 434 ~; 485 |; 522 &)
% ( 0 <=>; 173 =>; 0 <=; 0 <~>)
% Maximal formula depth : 107 ( 107 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 26 ( 26 usr; 9 prp; 0-2 aty)
% Number of functors : 151 ( 151 usr; 151 con; 0-0 aty)
% Number of variables : 173 ( 173 !; 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,
~ ( ( ~ c3_0
| ! [U] :
( ndr1_0
=> ( ! [V] :
( ndr1_1(U)
=> ( c3_2(U,V)
| c4_2(U,V) ) )
| ( ndr1_1(U)
& ~ c7_2(U,a147)
& ~ c3_2(U,a147)
& c5_2(U,a147) )
| ! [W] :
( ndr1_1(U)
=> ( ~ c5_2(U,W)
| c4_2(U,W)
| ~ c7_2(U,W) ) ) ) ) )
& ( ~ c8_0
| ~ c1_0
| ~ c2_0 )
& ( ( ndr1_0
& ndr1_1(a148)
& ~ c1_2(a148,a149)
& c7_2(a148,a149)
& c2_2(a148,a149)
& ! [X] :
( ndr1_1(a148)
=> ( c5_2(a148,X)
| ~ c8_2(a148,X)
| ~ c4_2(a148,X) ) )
& ndr1_1(a148)
& ~ c1_2(a148,a150)
& ~ c8_2(a148,a150) )
| ~ c8_0
| c7_0 )
& ( ! [Y] :
( ndr1_0
=> ( ~ c6_1(Y)
| ! [Z] :
( ndr1_1(Y)
=> ( ~ c5_2(Y,Z)
| c3_2(Y,Z)
| c4_2(Y,Z) ) )
| ~ c8_1(Y) ) )
| c3_0
| c8_0 )
& ( ~ c4_0
| ! [X1] :
( ndr1_0
=> ( c8_1(X1)
| c6_1(X1)
| c2_1(X1) ) )
| ! [X2] :
( ndr1_0
=> ( ~ c3_1(X2)
| ( ndr1_1(X2)
& ~ c8_2(X2,a151)
& ~ c1_2(X2,a151)
& ~ c5_2(X2,a151) )
| c5_1(X2) ) ) )
& ( ~ c7_0
| ! [X3] :
( ndr1_0
=> ( ! [X4] :
( ndr1_1(X3)
=> ( ~ c3_2(X3,X4)
| c7_2(X3,X4)
| ~ c5_2(X3,X4) ) )
| ( ndr1_1(X3)
& ~ c4_2(X3,a152)
& ~ c3_2(X3,a152)
& c7_2(X3,a152) )
| ~ c5_1(X3) ) ) )
& ( ~ c4_0
| ( ndr1_0
& ~ c4_1(a153)
& ~ c1_1(a153)
& ! [X5] :
( ndr1_1(a153)
=> ( c8_2(a153,X5)
| ~ c3_2(a153,X5)
| c5_2(a153,X5) ) ) )
| ~ c1_0 )
& ( ( ndr1_0
& c4_1(a154)
& c6_1(a154)
& c2_1(a154) )
| ( ndr1_0
& ! [X6] :
( ndr1_1(a155)
=> ( ~ c4_2(a155,X6)
| ~ c2_2(a155,X6)
| c3_2(a155,X6) ) )
& ~ c7_1(a155)
& ndr1_1(a155)
& c2_2(a155,a156)
& c7_2(a155,a156)
& ~ c5_2(a155,a156) )
| ( ndr1_0
& ~ c4_1(a157)
& c5_1(a157) ) )
& ( ( ndr1_0
& ! [X7] :
( ndr1_1(a158)
=> ( c4_2(a158,X7)
| ~ c1_2(a158,X7)
| c8_2(a158,X7) ) )
& ~ c4_1(a158)
& c1_1(a158) )
| c1_0
| c5_0 )
& ( ! [X8] :
( ndr1_0
=> ( ~ c3_1(X8)
| ! [X9] :
( ndr1_1(X8)
=> ( ~ c4_2(X8,X9)
| c8_2(X8,X9)
| c2_2(X8,X9) ) )
| c2_1(X8) ) )
| ( ndr1_0
& ! [X10] :
( ndr1_1(a159)
=> ( c2_2(a159,X10)
| ~ c4_2(a159,X10)
| ~ c8_2(a159,X10) ) )
& ~ c4_1(a159)
& c2_1(a159) )
| ~ c2_0 )
& ( ( ndr1_0
& ! [X11] :
( ndr1_1(a160)
=> ~ c6_2(a160,X11) )
& ~ c6_1(a160)
& ndr1_1(a160)
& c8_2(a160,a161)
& ~ c5_2(a160,a161)
& c2_2(a160,a161) )
| ! [X12] :
( ndr1_0
=> ( c8_1(X12)
| ~ c1_1(X12) ) )
| ! [X13] :
( ndr1_0
=> ( c4_1(X13)
| ! [X14] :
( ndr1_1(X13)
=> ( ~ c7_2(X13,X14)
| c2_2(X13,X14) ) )
| c5_1(X13) ) ) )
& ( ( ndr1_0
& ~ c8_1(a162)
& ! [X15] :
( ndr1_1(a162)
=> ( c8_2(a162,X15)
| c3_2(a162,X15)
| ~ c7_2(a162,X15) ) )
& ndr1_1(a162)
& ~ c5_2(a162,a163)
& ~ c6_2(a162,a163)
& c8_2(a162,a163) )
| c5_0 )
& ( ~ c7_0
| ( ndr1_0
& ndr1_1(a164)
& ~ c2_2(a164,a165)
& ~ c5_2(a164,a165)
& c3_2(a164,a165)
& ! [X16] :
( ndr1_1(a164)
=> ( ~ c8_2(a164,X16)
| ~ c2_2(a164,X16) ) )
& c6_1(a164) )
| ( ndr1_0
& c1_1(a166)
& ndr1_1(a166)
& c7_2(a166,a167)
& ~ c8_2(a166,a167)
& ~ c3_2(a166,a167)
& c7_1(a166) ) )
& ( c3_0
| ( ndr1_0
& ~ c2_1(a168)
& ! [X17] :
( ndr1_1(a168)
=> ( c2_2(a168,X17)
| ~ c5_2(a168,X17)
| ~ c8_2(a168,X17) ) )
& ~ c6_1(a168) )
| ~ c4_0 )
& ( ~ c4_0
| ~ c2_0
| ! [X18] :
( ndr1_0
=> ( ! [X19] :
( ndr1_1(X18)
=> ( ~ c4_2(X18,X19)
| ~ c1_2(X18,X19) ) )
| ~ c8_1(X18)
| ! [X20] :
( ndr1_1(X18)
=> ( ~ c6_2(X18,X20)
| ~ c3_2(X18,X20)
| ~ c1_2(X18,X20) ) ) ) ) )
& ( ! [X21] :
( ndr1_0
=> ( ! [X22] :
( ndr1_1(X21)
=> ( c2_2(X21,X22)
| c1_2(X21,X22)
| ~ c7_2(X21,X22) ) )
| c4_1(X21) ) )
| ! [X23] :
( ndr1_0
=> ( ! [X24] :
( ndr1_1(X23)
=> ( ~ c5_2(X23,X24)
| c3_2(X23,X24)
| c2_2(X23,X24) ) )
| c1_1(X23)
| ~ c7_1(X23) ) ) )
& ( ~ c4_0
| ~ c7_0
| ( ndr1_0
& c2_1(a169)
& c8_1(a169)
& ~ c6_1(a169) ) )
& ( c8_0
| c7_0
| ~ c3_0 )
& ( c7_0
| ( ndr1_0
& ~ c5_1(a170)
& ~ c7_1(a170)
& ! [X25] :
( ndr1_1(a170)
=> ( c3_2(a170,X25)
| ~ c2_2(a170,X25)
| ~ c4_2(a170,X25) ) ) )
| c6_0 )
& ( ~ c1_0
| ! [X26] :
( ndr1_0
=> ( c3_1(X26)
| ~ c4_1(X26)
| c5_1(X26) ) )
| ( ndr1_0
& ndr1_1(a171)
& ~ c1_2(a171,a172)
& c5_2(a171,a172)
& c2_2(a171,a172)
& c4_1(a171)
& ~ c2_1(a171) ) )
& ( ( ndr1_0
& ! [X27] :
( ndr1_1(a173)
=> ( ~ c8_2(a173,X27)
| ~ c1_2(a173,X27) ) )
& ! [X28] :
( ndr1_1(a173)
=> ( ~ c7_2(a173,X28)
| c8_2(a173,X28)
| c5_2(a173,X28) ) )
& ~ c6_1(a173) )
| ( ndr1_0
& ~ c3_1(a174)
& c5_1(a174)
& ! [X29] :
( ndr1_1(a174)
=> ( ~ c8_2(a174,X29)
| ~ c5_2(a174,X29)
| c6_2(a174,X29) ) ) )
| ! [X30] :
( ndr1_0
=> ( ( ndr1_1(X30)
& c5_2(X30,a175)
& ~ c2_2(X30,a175)
& c3_2(X30,a175) )
| ! [X31] :
( ndr1_1(X30)
=> ( c4_2(X30,X31)
| c3_2(X30,X31)
| c6_2(X30,X31) ) )
| c3_1(X30) ) ) )
& ( ( ndr1_0
& ! [X32] :
( ndr1_1(a176)
=> ( ~ c2_2(a176,X32)
| c7_2(a176,X32)
| ~ c3_2(a176,X32) ) )
& ndr1_1(a176)
& ~ c2_2(a176,a177)
& ~ c6_2(a176,a177)
& ~ c3_2(a176,a177)
& ndr1_1(a176)
& c8_2(a176,a178)
& ~ c4_2(a176,a178)
& ~ c7_2(a176,a178) )
| c7_0
| ( ndr1_0
& ! [X33] :
( ndr1_1(a179)
=> ( c2_2(a179,X33)
| ~ c3_2(a179,X33) ) )
& ~ c2_1(a179)
& ndr1_1(a179)
& c2_2(a179,a180)
& c3_2(a179,a180)
& c6_2(a179,a180) ) )
& ( ! [X34] :
( ndr1_0
=> ( ! [X35] :
( ndr1_1(X34)
=> ( ~ c8_2(X34,X35)
| ~ c1_2(X34,X35)
| ~ c3_2(X34,X35) ) )
| ~ c3_1(X34)
| ! [X36] :
( ndr1_1(X34)
=> ( ~ c5_2(X34,X36)
| ~ c6_2(X34,X36) ) ) ) )
| c5_0
| ( ndr1_0
& ! [X37] :
( ndr1_1(a181)
=> ( ~ c2_2(a181,X37)
| ~ c6_2(a181,X37)
| ~ c4_2(a181,X37) ) )
& c2_1(a181)
& ! [X38] :
( ndr1_1(a181)
=> ( ~ c2_2(a181,X38)
| c4_2(a181,X38)
| ~ c3_2(a181,X38) ) ) ) )
& ( ! [X39] :
( ndr1_0
=> ( c8_1(X39)
| ! [X40] :
( ndr1_1(X39)
=> ( c7_2(X39,X40)
| ~ c1_2(X39,X40)
| c5_2(X39,X40) ) )
| c1_1(X39) ) )
| c6_0
| ~ c1_0 )
& ( c3_0
| c6_0
| c8_0 )
& ( c1_0
| ( ndr1_0
& ! [X41] :
( ndr1_1(a182)
=> ( ~ c2_2(a182,X41)
| c1_2(a182,X41)
| ~ c4_2(a182,X41) ) )
& ! [X42] :
( ndr1_1(a182)
=> ( ~ c7_2(a182,X42)
| ~ c6_2(a182,X42)
| ~ c1_2(a182,X42) ) )
& ~ c1_1(a182) ) )
& ( c7_0
| ~ c1_0
| ( ndr1_0
& c1_1(a183)
& ndr1_1(a183)
& c7_2(a183,a184)
& c5_2(a183,a184)
& c3_2(a183,a184)
& c4_1(a183) ) )
& ( c4_0
| c2_0
| ! [X43] :
( ndr1_0
=> ( ! [X44] :
( ndr1_1(X43)
=> ( c5_2(X43,X44)
| ~ c6_2(X43,X44)
| ~ c8_2(X43,X44) ) )
| c6_1(X43)
| ! [X45] :
( ndr1_1(X43)
=> ( ~ c5_2(X43,X45)
| ~ c7_2(X43,X45) ) ) ) ) )
& ( c1_0
| ~ c3_0
| ! [X46] :
( ndr1_0
=> ( c3_1(X46)
| ( ndr1_1(X46)
& c7_2(X46,a185)
& c4_2(X46,a185)
& c5_2(X46,a185) )
| ~ c5_1(X46) ) ) )
& ( c1_0
| ! [X47] :
( ndr1_0
=> ( ~ c1_1(X47)
| ! [X48] :
( ndr1_1(X47)
=> ( c7_2(X47,X48)
| ~ c8_2(X47,X48)
| c6_2(X47,X48) ) )
| ! [X49] :
( ndr1_1(X47)
=> ( c4_2(X47,X49)
| c5_2(X47,X49)
| ~ c1_2(X47,X49) ) ) ) )
| c5_0 )
& ( c2_0
| ~ c3_0
| ( ndr1_0
& ! [X50] :
( ndr1_1(a186)
=> ( ~ c8_2(a186,X50)
| c5_2(a186,X50)
| ~ c1_2(a186,X50) ) )
& ~ c7_1(a186)
& c1_1(a186) ) )
& ( ( ndr1_0
& c4_1(a187)
& ndr1_1(a187)
& ~ c4_2(a187,a188)
& ~ c6_2(a187,a188)
& ~ c3_1(a187) )
| ( ndr1_0
& ~ c6_1(a189)
& ! [X51] :
( ndr1_1(a189)
=> ( ~ c2_2(a189,X51)
| c7_2(a189,X51)
| ~ c8_2(a189,X51) ) )
& ! [X52] :
( ndr1_1(a189)
=> ( ~ c8_2(a189,X52)
| ~ c1_2(a189,X52)
| c6_2(a189,X52) ) ) )
| ! [X53] :
( ndr1_0
=> ( ! [X54] :
( ndr1_1(X53)
=> ( c2_2(X53,X54)
| c4_2(X53,X54)
| c1_2(X53,X54) ) )
| ! [X55] :
( ndr1_1(X53)
=> ( ~ c3_2(X53,X55)
| c6_2(X53,X55)
| ~ c8_2(X53,X55) ) )
| ~ c7_1(X53) ) ) )
& ( ! [X56] :
( ndr1_0
=> ( c3_1(X56)
| ( ndr1_1(X56)
& ~ c3_2(X56,a190)
& c1_2(X56,a190)
& ~ c6_2(X56,a190) )
| c2_1(X56) ) )
| ! [X57] :
( ndr1_0
=> ( c8_1(X57)
| ! [X58] :
( ndr1_1(X57)
=> ( c6_2(X57,X58)
| c7_2(X57,X58) ) )
| ! [X59] :
( ndr1_1(X57)
=> ( c3_2(X57,X59)
| ~ c2_2(X57,X59)
| ~ c6_2(X57,X59) ) ) ) )
| ( ndr1_0
& ~ c5_1(a191)
& c1_1(a191)
& ndr1_1(a191)
& c7_2(a191,a192)
& ~ c8_2(a191,a192) ) )
& ( c1_0
| ! [X60] :
( ndr1_0
=> ( ! [X61] :
( ndr1_1(X60)
=> ( ~ c6_2(X60,X61)
| ~ c7_2(X60,X61)
| c2_2(X60,X61) ) )
| ~ c3_1(X60)
| c5_1(X60) ) )
| ( ndr1_0
& ~ c1_1(a193)
& ~ c7_1(a193)
& ndr1_1(a193)
& ~ c4_2(a193,a194)
& ~ c6_2(a193,a194)
& c7_2(a193,a194) ) )
& ( ! [X62] :
( ndr1_0
=> ( ! [X63] :
( ndr1_1(X62)
=> ( ~ c1_2(X62,X63)
| ~ c6_2(X62,X63)
| ~ c3_2(X62,X63) ) )
| ~ c4_1(X62)
| ~ c2_1(X62) ) )
| ( ndr1_0
& ! [X64] :
( ndr1_1(a195)
=> ( c4_2(a195,X64)
| ~ c6_2(a195,X64)
| c5_2(a195,X64) ) ) )
| ( ndr1_0
& c2_1(a196)
& ~ c4_1(a196)
& ! [X65] :
( ndr1_1(a196)
=> ( ~ c1_2(a196,X65)
| ~ c4_2(a196,X65) ) ) ) )
& ( c5_0
| ( ndr1_0
& ~ c8_1(a197)
& ~ c6_1(a197)
& ndr1_1(a197)
& c4_2(a197,a198)
& ~ c6_2(a197,a198)
& ~ c1_2(a197,a198) ) )
& ( ~ c5_0
| c7_0
| c8_0 )
& ( ( ndr1_0
& c1_1(a199) )
| ( ndr1_0
& ~ c1_1(a200)
& c6_1(a200) )
| ! [X66] :
( ndr1_0
=> ( ! [X67] :
( ndr1_1(X66)
=> ( c2_2(X66,X67)
| c7_2(X66,X67) ) )
| ( ndr1_1(X66)
& c1_2(X66,a201)
& c8_2(X66,a201)
& c7_2(X66,a201) )
| ~ c2_1(X66) ) ) )
& ( ! [X68] :
( ndr1_0
=> ( ! [X69] :
( ndr1_1(X68)
=> ( c2_2(X68,X69)
| c4_2(X68,X69)
| ~ c5_2(X68,X69) ) )
| ~ c2_1(X68) ) )
| ( ndr1_0
& c7_1(a202)
& ! [X70] :
( ndr1_1(a202)
=> ( ~ c6_2(a202,X70)
| c3_2(a202,X70)
| c8_2(a202,X70) ) )
& ! [X71] :
( ndr1_1(a202)
=> ( c6_2(a202,X71)
| c7_2(a202,X71)
| ~ c3_2(a202,X71) ) ) )
| ( ndr1_0
& c4_1(a203)
& c8_1(a203)
& ! [X72] :
( ndr1_1(a203)
=> ( ~ c1_2(a203,X72)
| ~ c5_2(a203,X72)
| ~ c8_2(a203,X72) ) ) ) )
& ( c1_0
| ( ndr1_0
& ! [X73] :
( ndr1_1(a204)
=> ( c8_2(a204,X73)
| c2_2(a204,X73) ) )
& c8_1(a204)
& ndr1_1(a204)
& c7_2(a204,a205)
& c3_2(a204,a205) ) )
& ( c3_0
| ! [X74] :
( ndr1_0
=> ( ! [X75] :
( ndr1_1(X74)
=> ( ~ c5_2(X74,X75)
| ~ c4_2(X74,X75) ) )
| ( ndr1_1(X74)
& c3_2(X74,a206)
& c6_2(X74,a206)
& c4_2(X74,a206) )
| ( ndr1_1(X74)
& ~ c3_2(X74,a207)
& c8_2(X74,a207)
& ~ c5_2(X74,a207) ) ) )
| c4_0 )
& ( ( ndr1_0
& c8_1(a208)
& ndr1_1(a208)
& ~ c6_2(a208,a209)
& ~ c2_2(a208,a209)
& ~ c3_2(a208,a209)
& ~ c1_1(a208) )
| ! [X76] :
( ndr1_0
=> ( ! [X77] :
( ndr1_1(X76)
=> ( c7_2(X76,X77)
| c4_2(X76,X77)
| ~ c6_2(X76,X77) ) )
| ! [X78] :
( ndr1_1(X76)
=> ( ~ c1_2(X76,X78)
| c4_2(X76,X78)
| ~ c7_2(X76,X78) ) )
| c7_1(X76) ) )
| ~ c8_0 )
& ( ~ c6_0
| ! [X79] :
( ndr1_0
=> ( ~ c4_1(X79)
| ( ndr1_1(X79)
& ~ c5_2(X79,a210)
& c4_2(X79,a210)
& c8_2(X79,a210) ) ) ) )
& ( ~ c5_0
| ~ c7_0
| c3_0 )
& ( c5_0
| ~ c4_0
| ~ c1_0 )
& ( ( ndr1_0
& c4_1(a211)
& ~ c3_1(a211)
& ndr1_1(a211)
& ~ c1_2(a211,a212)
& ~ c8_2(a211,a212) )
| ! [X80] :
( ndr1_0
=> ( c5_1(X80)
| ~ c4_1(X80)
| ( ndr1_1(X80)
& c2_2(X80,a213)
& ~ c3_2(X80,a213)
& c7_2(X80,a213) ) ) )
| c7_0 )
& ( ~ c2_0
| ! [X81] :
( ndr1_0
=> ( ~ c1_1(X81)
| ( ndr1_1(X81)
& ~ c2_2(X81,a214)
& c7_2(X81,a214)
& c4_2(X81,a214) )
| c2_1(X81) ) )
| c4_0 )
& ( ! [X82] :
( ndr1_0
=> ( c2_1(X82)
| ~ c5_1(X82)
| ! [X83] :
( ndr1_1(X82)
=> ( ~ c2_2(X82,X83)
| c3_2(X82,X83)
| c8_2(X82,X83) ) ) ) )
| c8_0 )
& ( ( ndr1_0
& c7_1(a215)
& ndr1_1(a215)
& ~ c1_2(a215,a216)
& ~ c4_2(a215,a216)
& c3_2(a215,a216)
& ~ c2_1(a215) )
| c7_0
| c8_0 )
& ( ( ndr1_0
& c8_1(a217)
& c7_1(a217)
& ~ c1_1(a217) )
| ~ c4_0 )
& ( ~ c5_0
| ! [X84] :
( ndr1_0
=> ( c5_1(X84)
| ! [X85] :
( ndr1_1(X84)
=> ( c7_2(X84,X85)
| ~ c5_2(X84,X85)
| ~ c6_2(X84,X85) ) )
| ~ c7_1(X84) ) )
| c4_0 )
& ( ( ndr1_0
& ~ c5_1(a218)
& ndr1_1(a218)
& ~ c5_2(a218,a219)
& c4_2(a218,a219)
& ~ c1_1(a218) )
| ! [X86] :
( ndr1_0
=> ( ! [X87] :
( ndr1_1(X86)
=> ( ~ c1_2(X86,X87)
| ~ c7_2(X86,X87)
| c8_2(X86,X87) ) )
| ( ndr1_1(X86)
& ~ c3_2(X86,a220)
& ~ c5_2(X86,a220)
& c1_2(X86,a220) )
| ! [X88] :
( ndr1_1(X86)
=> ( c6_2(X86,X88)
| ~ c8_2(X86,X88)
| ~ c4_2(X86,X88) ) ) ) )
| c4_0 )
& ( ( ndr1_0
& ! [X89] :
( ndr1_1(a221)
=> ( ~ c7_2(a221,X89)
| c2_2(a221,X89)
| c4_2(a221,X89) ) )
& ~ c1_1(a221)
& ~ c2_1(a221) )
| ~ c2_0
| ( ndr1_0
& ! [X90] :
( ndr1_1(a222)
=> ( c5_2(a222,X90)
| c2_2(a222,X90) ) )
& ~ c1_1(a222)
& ~ c6_1(a222) ) )
& ( c1_0
| c2_0
| c5_0 )
& ( c1_0
| ( ndr1_0
& ~ c4_1(a223)
& ! [X91] :
( ndr1_1(a223)
=> ( c6_2(a223,X91)
| ~ c4_2(a223,X91) ) )
& ! [X92] :
( ndr1_1(a223)
=> ( c7_2(a223,X92)
| c2_2(a223,X92) ) ) )
| ! [X93] :
( ndr1_0
=> ( ( ndr1_1(X93)
& c3_2(X93,a224)
& ~ c5_2(X93,a224) )
| c1_1(X93)
| ( ndr1_1(X93)
& c8_2(X93,a225)
& c2_2(X93,a225)
& ~ c4_2(X93,a225) ) ) ) )
& ( ~ c1_0
| ( ndr1_0
& ! [X94] :
( ndr1_1(a226)
=> ( ~ c6_2(a226,X94)
| c7_2(a226,X94)
| ~ c5_2(a226,X94) ) )
& ! [X95] :
( ndr1_1(a226)
=> ( c5_2(a226,X95)
| ~ c8_2(a226,X95)
| c6_2(a226,X95) ) )
& ~ c5_1(a226) )
| ( ndr1_0
& ! [X96] :
( ndr1_1(a227)
=> ( c5_2(a227,X96)
| c2_2(a227,X96)
| ~ c4_2(a227,X96) ) )
& ! [X97] :
( ndr1_1(a227)
=> ( c2_2(a227,X97)
| ~ c7_2(a227,X97)
| ~ c4_2(a227,X97) ) )
& ndr1_1(a227)
& c7_2(a227,a228)
& c6_2(a227,a228) ) )
& ( ( ndr1_0
& c1_1(a229)
& ! [X98] :
( ndr1_1(a229)
=> ( c2_2(a229,X98)
| c1_2(a229,X98)
| c8_2(a229,X98) ) )
& ! [X99] :
( ndr1_1(a229)
=> ( ~ c4_2(a229,X99)
| c3_2(a229,X99)
| c1_2(a229,X99) ) ) )
| ~ c2_0 )
& ( c8_0
| ! [X100] :
( ndr1_0
=> ( ! [X101] :
( ndr1_1(X100)
=> ( c7_2(X100,X101)
| ~ c4_2(X100,X101)
| ~ c6_2(X100,X101) ) )
| ( ndr1_1(X100)
& ~ c8_2(X100,a230)
& c7_2(X100,a230)
& ~ c6_2(X100,a230) )
| c7_1(X100) ) )
| ~ c1_0 )
& ( ( ndr1_0
& ~ c8_1(a231)
& ndr1_1(a231)
& c4_2(a231,a232)
& c6_2(a231,a232)
& c5_2(a231,a232)
& c4_1(a231) )
| ! [X102] :
( ndr1_0
=> ( ! [X103] :
( ndr1_1(X102)
=> ( ~ c6_2(X102,X103)
| c3_2(X102,X103) ) )
| ~ c3_1(X102)
| ~ c5_1(X102) ) )
| ! [X104] :
( ndr1_0
=> ( ~ c1_1(X104)
| c2_1(X104)
| ! [X105] :
( ndr1_1(X104)
=> ( ~ c7_2(X104,X105)
| c1_2(X104,X105)
| ~ c4_2(X104,X105) ) ) ) ) )
& ( ( ndr1_0
& ndr1_1(a233)
& c6_2(a233,a234)
& c3_2(a233,a234)
& c1_2(a233,a234)
& ! [X106] :
( ndr1_1(a233)
=> ( ~ c4_2(a233,X106)
| ~ c3_2(a233,X106) ) )
& ! [X107] :
( ndr1_1(a233)
=> ( c6_2(a233,X107)
| ~ c8_2(a233,X107) ) ) )
| ( ndr1_0
& ~ c1_1(a235)
& ~ c3_1(a235)
& ! [X108] :
( ndr1_1(a235)
=> ( ~ c4_2(a235,X108)
| c8_2(a235,X108) ) ) ) )
& ( ~ c7_0
| ! [X109] :
( ndr1_0
=> ( ~ c6_1(X109)
| ( ndr1_1(X109)
& c5_2(X109,a236)
& ~ c6_2(X109,a236)
& ~ c4_2(X109,a236) )
| ~ c8_1(X109) ) )
| c1_0 )
& ( ( ndr1_0
& c1_1(a237)
& ndr1_1(a237)
& c2_2(a237,a238)
& ~ c7_2(a237,a238)
& ~ c1_2(a237,a238)
& ~ c7_1(a237) )
| ! [X110] :
( ndr1_0
=> ( ( ndr1_1(X110)
& ~ c5_2(X110,a239)
& c7_2(X110,a239)
& c8_2(X110,a239) )
| ! [X111] :
( ndr1_1(X110)
=> ( ~ c5_2(X110,X111)
| c8_2(X110,X111)
| c7_2(X110,X111) ) )
| ( ndr1_1(X110)
& ~ c1_2(X110,a240)
& c7_2(X110,a240) ) ) )
| c6_0 )
& ( ( ndr1_0
& ndr1_1(a241)
& ~ c1_2(a241,a242)
& ~ c7_2(a241,a242)
& ~ c4_2(a241,a242)
& ! [X112] :
( ndr1_1(a241)
=> ( c6_2(a241,X112)
| ~ c4_2(a241,X112)
| c5_2(a241,X112) ) )
& ndr1_1(a241)
& ~ c6_2(a241,a243)
& c4_2(a241,a243)
& c5_2(a241,a243) )
| ( ndr1_0
& ndr1_1(a244)
& c4_2(a244,a245)
& ~ c2_2(a244,a245)
& ndr1_1(a244)
& ~ c3_2(a244,a246)
& c8_2(a244,a246)
& ~ c7_2(a244,a246) )
| ~ c6_0 )
& ( ! [X113] :
( ndr1_0
=> ( c2_1(X113)
| c3_1(X113)
| ! [X114] :
( ndr1_1(X113)
=> ( ~ c3_2(X113,X114)
| ~ c6_2(X113,X114)
| ~ c8_2(X113,X114) ) ) ) )
| ~ c4_0
| ! [X115] :
( ndr1_0
=> ( c4_1(X115)
| c3_1(X115)
| ! [X116] :
( ndr1_1(X115)
=> ( c5_2(X115,X116)
| c3_2(X115,X116)
| ~ c8_2(X115,X116) ) ) ) ) )
& ( c4_0
| ~ c5_0
| c3_0 )
& ( c8_0
| ! [X117] :
( ndr1_0
=> ( ( ndr1_1(X117)
& ~ c5_2(X117,a247)
& ~ c1_2(X117,a247) )
| c1_1(X117)
| ~ c7_1(X117) ) )
| ! [X118] :
( ndr1_0
=> ( c2_1(X118)
| ~ c7_1(X118)
| ~ c5_1(X118) ) ) )
& ( ~ c2_0
| ! [X119] :
( ndr1_0
=> ( ( ndr1_1(X119)
& c3_2(X119,a248)
& ~ c6_2(X119,a248)
& c7_2(X119,a248) )
| ~ c8_1(X119)
| c2_1(X119) ) )
| ( ndr1_0
& ~ c1_1(a249)
& ~ c7_1(a249)
& ! [X120] :
( ndr1_1(a249)
=> ( ~ c4_2(a249,X120)
| ~ c2_2(a249,X120)
| c5_2(a249,X120) ) ) ) )
& ( ! [X121] :
( ndr1_0
=> ( c3_1(X121)
| ( ndr1_1(X121)
& c7_2(X121,a250)
& c8_2(X121,a250)
& c5_2(X121,a250) )
| ( ndr1_1(X121)
& ~ c8_2(X121,a251)
& ~ c2_2(X121,a251)
& ~ c3_2(X121,a251) ) ) )
| c8_0
| ~ c6_0 )
& ( ( ndr1_0
& c1_1(a252)
& ~ c7_1(a252)
& ! [X122] :
( ndr1_1(a252)
=> ( c5_2(a252,X122)
| ~ c2_2(a252,X122)
| ~ c4_2(a252,X122) ) ) )
| ~ c4_0
| ! [X123] :
( ndr1_0
=> ~ c8_1(X123) ) )
& ( ! [X124] :
( ndr1_0
=> ( c1_1(X124)
| ~ c3_1(X124) ) )
| ( ndr1_0
& ~ c8_1(a253)
& ~ c7_1(a253)
& ! [X125] :
( ndr1_1(a253)
=> ( c2_2(a253,X125)
| c3_2(a253,X125)
| c5_2(a253,X125) ) ) )
| ! [X126] :
( ndr1_0
=> ( ( ndr1_1(X126)
& ~ c5_2(X126,a254)
& ~ c6_2(X126,a254)
& c1_2(X126,a254) )
| c5_1(X126)
| ( ndr1_1(X126)
& ~ c3_2(X126,a255)
& ~ c8_2(X126,a255)
& c7_2(X126,a255) ) ) ) )
& ( c4_0
| ~ c6_0
| ! [X127] :
( ndr1_0
=> ( c8_1(X127)
| ~ c6_1(X127)
| ! [X128] :
( ndr1_1(X127)
=> ( ~ c1_2(X127,X128)
| c4_2(X127,X128)
| c6_2(X127,X128) ) ) ) ) )
& ( ~ c1_0
| c4_0
| ~ c6_0 )
& ( ( ndr1_0
& c1_1(a256)
& ! [X129] :
( ndr1_1(a256)
=> ( ~ c3_2(a256,X129)
| ~ c5_2(a256,X129)
| ~ c4_2(a256,X129) ) )
& ndr1_1(a256)
& ~ c1_2(a256,a257)
& ~ c7_2(a256,a257) )
| ! [X130] :
( ndr1_0
=> ( ~ c5_1(X130)
| c1_1(X130)
| c3_1(X130) ) )
| c6_0 )
& ( c7_0
| ! [X131] :
( ndr1_0
=> ( ~ c7_1(X131)
| ( ndr1_1(X131)
& ~ c7_2(X131,a258)
& c3_2(X131,a258)
& c4_2(X131,a258) )
| c1_1(X131) ) )
| ( ndr1_0
& ! [X132] :
( ndr1_1(a259)
=> ( c1_2(a259,X132)
| c8_2(a259,X132)
| c3_2(a259,X132) ) )
& c6_1(a259)
& ~ c7_1(a259) ) )
& ( c6_0
| c5_0
| ! [X133] :
( ndr1_0
=> ( ! [X134] :
( ndr1_1(X133)
=> ( ~ c7_2(X133,X134)
| c8_2(X133,X134)
| c1_2(X133,X134) ) )
| ( ndr1_1(X133)
& ~ c7_2(X133,a260)
& ~ c2_2(X133,a260)
& ~ c1_2(X133,a260) )
| ( ndr1_1(X133)
& ~ c6_2(X133,a261)
& c2_2(X133,a261)
& c1_2(X133,a261) ) ) ) )
& ( c1_0
| c4_0 )
& ( ! [X135] :
( ndr1_0
=> ( c2_1(X135)
| ( ndr1_1(X135)
& c4_2(X135,a262)
& ~ c2_2(X135,a262)
& c1_2(X135,a262) )
| ! [X136] :
( ndr1_1(X135)
=> ( c5_2(X135,X136)
| c1_2(X135,X136)
| ~ c3_2(X135,X136) ) ) ) )
| ~ c6_0
| c1_0 )
& ( ! [X137] :
( ndr1_0
=> ( c3_1(X137)
| ! [X138] :
( ndr1_1(X137)
=> ( ~ c3_2(X137,X138)
| ~ c2_2(X137,X138)
| ~ c4_2(X137,X138) ) ) ) )
| c1_0
| ~ c7_0 )
& ( ~ c7_0
| ! [X139] :
( ndr1_0
=> ( ! [X140] :
( ndr1_1(X139)
=> ( ~ c8_2(X139,X140)
| c3_2(X139,X140)
| ~ c5_2(X139,X140) ) )
| ~ c7_1(X139)
| c2_1(X139) ) )
| c5_0 )
& ( ~ c5_0
| ! [X141] :
( ndr1_0
=> ( ( ndr1_1(X141)
& ~ c5_2(X141,a263)
& ~ c7_2(X141,a263)
& c4_2(X141,a263) )
| ~ c6_1(X141)
| ( ndr1_1(X141)
& c5_2(X141,a264)
& c1_2(X141,a264)
& c7_2(X141,a264) ) ) )
| ~ c3_0 )
& ( ! [X142] :
( ndr1_0
=> ( c4_1(X142)
| ~ c5_1(X142) ) )
| c2_0
| ! [X143] :
( ndr1_0
=> ( ~ c2_1(X143)
| ~ c7_1(X143) ) ) )
& ( c7_0
| ( ndr1_0
& ~ c6_1(a265)
& ! [X144] :
( ndr1_1(a265)
=> ( ~ c4_2(a265,X144)
| c7_2(a265,X144) ) )
& ndr1_1(a265)
& c4_2(a265,a266)
& c2_2(a265,a266)
& ~ c8_2(a265,a266) )
| ( ndr1_0
& ! [X145] :
( ndr1_1(a267)
=> ( c6_2(a267,X145)
| c3_2(a267,X145) ) ) ) )
& ( c4_0
| ( ndr1_0
& ndr1_1(a268)
& ~ c6_2(a268,a269)
& c2_2(a268,a269)
& c5_2(a268,a269)
& ndr1_1(a268)
& c6_2(a268,a270)
& c8_2(a268,a270)
& c1_2(a268,a270)
& ~ c7_1(a268) )
| c5_0 )
& ( ( ndr1_0
& ndr1_1(a271)
& ~ c7_2(a271,a272)
& c2_2(a271,a272)
& c1_2(a271,a272)
& c5_1(a271)
& ndr1_1(a271)
& ~ c3_2(a271,a273)
& ~ c4_2(a271,a273)
& c1_2(a271,a273) )
| ( ndr1_0
& ! [X146] :
( ndr1_1(a274)
=> ( ~ c7_2(a274,X146)
| ~ c4_2(a274,X146)
| c5_2(a274,X146) ) )
& ! [X147] :
( ndr1_1(a274)
=> ( ~ c1_2(a274,X147)
| ~ c5_2(a274,X147)
| ~ c6_2(a274,X147) ) )
& ~ c7_1(a274) )
| ! [X148] :
( ndr1_0
=> ( ~ c1_1(X148)
| ! [X149] :
( ndr1_1(X148)
=> ( c5_2(X148,X149)
| ~ c6_2(X148,X149) ) ) ) ) )
& ( ( ndr1_0
& ! [X150] :
( ndr1_1(a275)
=> ( ~ c7_2(a275,X150)
| c5_2(a275,X150)
| ~ c2_2(a275,X150) ) )
& ndr1_1(a275)
& c2_2(a275,a276)
& c7_2(a275,a276)
& ~ c3_2(a275,a276)
& ~ c1_1(a275) )
| c4_0
| ( ndr1_0
& ! [X151] :
( ndr1_1(a277)
=> ( ~ c8_2(a277,X151)
| c6_2(a277,X151)
| c4_2(a277,X151) ) )
& ! [X152] :
( ndr1_1(a277)
=> ( ~ c1_2(a277,X152)
| ~ c2_2(a277,X152)
| c7_2(a277,X152) ) )
& ! [X153] :
( ndr1_1(a277)
=> ( ~ c6_2(a277,X153)
| ~ c7_2(a277,X153) ) ) ) )
& ( ! [X154] :
( ndr1_0
=> ( c1_1(X154)
| ( ndr1_1(X154)
& ~ c3_2(X154,a278)
& c5_2(X154,a278) )
| ~ c4_1(X154) ) )
| c8_0
| c7_0 )
& ( ( ndr1_0
& ndr1_1(a279)
& ~ c4_2(a279,a280)
& ~ c1_2(a279,a280)
& c8_2(a279,a280)
& ! [X155] :
( ndr1_1(a279)
=> ( c6_2(a279,X155)
| ~ c5_2(a279,X155)
| c3_2(a279,X155) ) )
& c2_1(a279) )
| ~ c1_0
| ( ndr1_0
& ndr1_1(a281)
& c7_2(a281,a282)
& c8_2(a281,a282)
& c2_2(a281,a282)
& ndr1_1(a281)
& c8_2(a281,a283)
& ~ c1_2(a281,a283) ) )
& ( ! [X156] :
( ndr1_0
=> ( ( ndr1_1(X156)
& c3_2(X156,a284)
& c1_2(X156,a284)
& c5_2(X156,a284) )
| ( ndr1_1(X156)
& ~ c8_2(X156,a285)
& c3_2(X156,a285)
& ~ c7_2(X156,a285) )
| ( ndr1_1(X156)
& ~ c7_2(X156,a286)
& ~ c1_2(X156,a286) ) ) )
| c6_0
| ! [X157] :
( ndr1_0
=> ( c1_1(X157)
| ~ c8_1(X157)
| c6_1(X157) ) ) )
& ( ~ c3_0
| c4_0
| ! [X158] :
( ndr1_0
=> ( ~ c8_1(X158)
| ! [X159] :
( ndr1_1(X158)
=> ( c8_2(X158,X159)
| ~ c7_2(X158,X159)
| ~ c6_2(X158,X159) ) )
| c4_1(X158) ) ) )
& ( c2_0
| c8_0
| ~ c4_0 )
& ( c3_0
| c5_0
| ( ndr1_0
& c3_1(a287)
& ~ c5_1(a287)
& c8_1(a287) ) )
& ( ! [X160] :
( ndr1_0
=> ( c6_1(X160)
| ! [X161] :
( ndr1_1(X160)
=> ( ~ c3_2(X160,X161)
| c7_2(X160,X161)
| c5_2(X160,X161) ) )
| ~ c2_1(X160) ) )
| ( ndr1_0
& ~ c8_1(a288)
& ndr1_1(a288)
& ~ c8_2(a288,a289)
& ~ c4_2(a288,a289)
& ~ c5_2(a288,a289)
& ! [X162] :
( ndr1_1(a288)
=> ( ~ c8_2(a288,X162)
| ~ c5_2(a288,X162)
| ~ c4_2(a288,X162) ) ) )
| ! [X163] :
( ndr1_0
=> ( ( ndr1_1(X163)
& ~ c8_2(X163,a290)
& ~ c3_2(X163,a290)
& ~ c1_2(X163,a290) )
| ! [X164] :
( ndr1_1(X163)
=> ( c7_2(X163,X164)
| c5_2(X163,X164)
| c3_2(X163,X164) ) )
| ( ndr1_1(X163)
& c7_2(X163,a291)
& c2_2(X163,a291)
& ~ c4_2(X163,a291) ) ) ) )
& ( ~ c2_0
| ! [X165] :
( ndr1_0
=> ( ( ndr1_1(X165)
& ~ c5_2(X165,a292)
& c7_2(X165,a292)
& c8_2(X165,a292) )
| ( ndr1_1(X165)
& c4_2(X165,a293)
& ~ c3_2(X165,a293)
& ~ c1_2(X165,a293) )
| c4_1(X165) ) )
| ~ c4_0 )
& ( c1_0
| ( ndr1_0
& c2_1(a294)
& ~ c3_1(a294)
& ndr1_1(a294)
& ~ c2_2(a294,a295)
& ~ c8_2(a294,a295)
& c7_2(a294,a295) ) )
& ( c6_0
| ( ndr1_0
& ! [X166] :
( ndr1_1(a296)
=> ( c2_2(a296,X166)
| ~ c6_2(a296,X166)
| ~ c7_2(a296,X166) ) )
& ndr1_1(a296)
& ~ c7_2(a296,a297)
& ~ c2_2(a296,a297)
& c5_2(a296,a297)
& ~ c7_1(a296) )
| ! [X167] :
( ndr1_0
=> ( c3_1(X167)
| c4_1(X167)
| c5_1(X167) ) ) ) ) ).
%--------------------------------------------------------------------------