TPTP Problem File: SYN419+1.p
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- Solve Problem
%--------------------------------------------------------------------------
% File : SYN419+1 : TPTP v8.2.0. Released v2.1.0.
% Domain : Syntactic (Translated)
% Problem : ALC, N=10, R=1, L=100, K=3, D=2, P=0, Index=078
% 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-10-1-100-3-2-078.dfg [Wei97]
% Status : CounterSatisfiable
% Rating : 0.00 v5.5.0, 0.10 v5.4.0, 0.20 v5.3.0, 0.25 v5.0.0, 0.33 v3.7.0, 0.00 v3.5.0, 0.25 v3.4.0, 0.00 v3.2.0, 0.25 v3.1.0, 0.33 v2.7.0, 0.67 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 : 994 ( 0 equ)
% Maximal formula atoms : 994 ( 994 avg)
% Number of connectives : 1374 ( 381 ~; 417 |; 432 &)
% ( 0 <=>; 144 =>; 0 <=; 0 <~>)
% Maximal formula depth : 98 ( 98 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 32 ( 32 usr; 11 prp; 0-2 aty)
% Number of functors : 122 ( 122 usr; 122 con; 0-0 aty)
% Number of variables : 144 ( 144 !; 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,
~ ( ( c7_0
| c3_0
| ! [U] :
( ndr1_0
=> ( ~ c9_1(U)
| ~ c1_1(U)
| c8_1(U) ) ) )
& ( ( ndr1_0
& c7_1(a147)
& ~ c9_1(a147) )
| ~ c1_0
| ! [V] :
( ndr1_0
=> ( ( ndr1_1(V)
& ~ c5_2(V,a148)
& c7_2(V,a148)
& c3_2(V,a148) )
| ~ c4_1(V) ) ) )
& ( ( ndr1_0
& ! [W] :
( ndr1_1(a149)
=> ( c1_2(a149,W)
| ~ c4_2(a149,W)
| ~ c7_2(a149,W) ) )
& ndr1_1(a149)
& ~ c9_2(a149,a150)
& c7_2(a149,a150)
& ~ c5_2(a149,a150)
& ndr1_1(a149)
& ~ c4_2(a149,a151)
& ~ c1_2(a149,a151)
& ~ c10_2(a149,a151) )
| ~ c4_0
| ( ndr1_0
& ndr1_1(a152)
& c7_2(a152,a153)
& ~ c10_2(a152,a153)
& c9_2(a152,a153)
& ! [X] :
( ndr1_1(a152)
=> ( ~ c4_2(a152,X)
| ~ c2_2(a152,X)
| ~ c10_2(a152,X) ) )
& ~ c8_1(a152) ) )
& ( ! [Y] :
( ndr1_0
=> ( c5_1(Y)
| c8_1(Y)
| ( ndr1_1(Y)
& ~ c10_2(Y,a154)
& c6_2(Y,a154)
& ~ c3_2(Y,a154) ) ) )
| c3_0
| ~ c1_0 )
& ( ! [Z] :
( ndr1_0
=> ( ( ndr1_1(Z)
& ~ c1_2(Z,a155)
& c10_2(Z,a155)
& ~ c4_2(Z,a155) )
| c8_1(Z)
| ( ndr1_1(Z)
& c3_2(Z,a156)
& c6_2(Z,a156) ) ) )
| c7_0
| ~ c1_0 )
& ( c8_0
| c9_0
| ~ c6_0 )
& ( ~ c4_0
| ~ c5_0
| c3_0 )
& ( ~ c7_0
| ( ndr1_0
& c2_1(a157)
& ! [X1] :
( ndr1_1(a157)
=> ( c3_2(a157,X1)
| ~ c9_2(a157,X1)
| ~ c8_2(a157,X1) ) ) ) )
& ( ~ c2_0
| ! [X2] :
( ndr1_0
=> ( ~ c7_1(X2)
| c10_1(X2)
| ! [X3] :
( ndr1_1(X2)
=> ( ~ c6_2(X2,X3)
| c1_2(X2,X3)
| ~ c4_2(X2,X3) ) ) ) )
| ~ c4_0 )
& ( ! [X4] :
( ndr1_0
=> ( c3_1(X4)
| ! [X5] :
( ndr1_1(X4)
=> ( c9_2(X4,X5)
| c10_2(X4,X5)
| ~ c3_2(X4,X5) ) )
| ( ndr1_1(X4)
& c9_2(X4,a158)
& ~ c6_2(X4,a158)
& c5_2(X4,a158) ) ) )
| ! [X6] :
( ndr1_0
=> ( ! [X7] :
( ndr1_1(X6)
=> ( c8_2(X6,X7)
| c4_2(X6,X7)
| c6_2(X6,X7) ) )
| c3_1(X6)
| ! [X8] :
( ndr1_1(X6)
=> ( ~ c2_2(X6,X8)
| ~ c4_2(X6,X8)
| ~ c6_2(X6,X8) ) ) ) ) )
& ( ! [X9] :
( ndr1_0
=> ( c2_1(X9)
| ( ndr1_1(X9)
& ~ c8_2(X9,a159)
& ~ c5_2(X9,a159)
& c7_2(X9,a159) )
| ! [X10] :
( ndr1_1(X9)
=> ( c5_2(X9,X10)
| c10_2(X9,X10) ) ) ) )
| ( ndr1_0
& ~ c7_1(a160)
& c10_1(a160)
& ! [X11] :
( ndr1_1(a160)
=> ( ~ c4_2(a160,X11)
| c2_2(a160,X11)
| c6_2(a160,X11) ) ) )
| ~ c4_0 )
& ( c3_0
| c9_0
| ! [X12] :
( ndr1_0
=> ( ( ndr1_1(X12)
& ~ c10_2(X12,a161)
& ~ c3_2(X12,a161)
& ~ c4_2(X12,a161) )
| ~ c7_1(X12)
| ! [X13] :
( ndr1_1(X12)
=> ( ~ c7_2(X12,X13)
| ~ c9_2(X12,X13)
| ~ c2_2(X12,X13) ) ) ) ) )
& ( c8_0
| ( ndr1_0
& c7_1(a162)
& ~ c2_1(a162)
& ! [X14] :
( ndr1_1(a162)
=> ( ~ c1_2(a162,X14)
| ~ c3_2(a162,X14)
| c2_2(a162,X14) ) ) ) )
& ( ~ c9_0
| ~ c1_0
| ( ndr1_0
& ndr1_1(a163)
& ~ c5_2(a163,a164)
& c9_2(a163,a164)
& c10_2(a163,a164)
& c1_1(a163)
& ! [X15] :
( ndr1_1(a163)
=> ( ~ c4_2(a163,X15)
| c2_2(a163,X15)
| ~ c6_2(a163,X15) ) ) ) )
& ( c9_0
| ~ c2_0
| ( ndr1_0
& ! [X16] :
( ndr1_1(a165)
=> ( c8_2(a165,X16)
| ~ c10_2(a165,X16)
| ~ c4_2(a165,X16) ) )
& ! [X17] :
( ndr1_1(a165)
=> ( c3_2(a165,X17)
| ~ c2_2(a165,X17)
| c5_2(a165,X17) ) )
& ndr1_1(a165)
& ~ c2_2(a165,a166)
& c5_2(a165,a166)
& c3_2(a165,a166) ) )
& ( ( ndr1_0
& c2_1(a167)
& ! [X18] :
( ndr1_1(a167)
=> ( ~ c9_2(a167,X18)
| c1_2(a167,X18)
| c10_2(a167,X18) ) )
& c7_1(a167) )
| c6_0
| c10_0 )
& ( c6_0
| ( ndr1_0
& ~ c9_1(a168)
& c1_1(a168)
& c8_1(a168) )
| ~ c1_0 )
& ( c3_0
| ! [X19] :
( ndr1_0
=> ( ~ c7_1(X19)
| ! [X20] :
( ndr1_1(X19)
=> ( c8_2(X19,X20)
| ~ c7_2(X19,X20) ) )
| ! [X21] :
( ndr1_1(X19)
=> ( c7_2(X19,X21)
| c8_2(X19,X21) ) ) ) )
| ! [X22] :
( ndr1_0
=> ( ! [X23] :
( ndr1_1(X22)
=> ( c9_2(X22,X23)
| c7_2(X22,X23)
| ~ c6_2(X22,X23) ) )
| c9_1(X22)
| ~ c5_1(X22) ) ) )
& ( ~ c9_0
| c8_0
| ~ c1_0 )
& ( ( ndr1_0
& ! [X24] :
( ndr1_1(a169)
=> ( ~ c6_2(a169,X24)
| ~ c10_2(a169,X24) ) )
& c2_1(a169)
& ! [X25] :
( ndr1_1(a169)
=> ( ~ c1_2(a169,X25)
| ~ c9_2(a169,X25)
| ~ c8_2(a169,X25) ) ) )
| ( ndr1_0
& ~ c8_1(a170)
& ! [X26] :
( ndr1_1(a170)
=> ( c3_2(a170,X26)
| ~ c9_2(a170,X26)
| ~ c10_2(a170,X26) ) )
& c6_1(a170) )
| ! [X27] :
( ndr1_0
=> ( ! [X28] :
( ndr1_1(X27)
=> c3_2(X27,X28) )
| ~ c2_1(X27)
| ! [X29] :
( ndr1_1(X27)
=> ( c9_2(X27,X29)
| c5_2(X27,X29)
| c6_2(X27,X29) ) ) ) ) )
& ( ( ndr1_0
& ! [X30] :
( ndr1_1(a171)
=> ( c7_2(a171,X30)
| c3_2(a171,X30)
| ~ c10_2(a171,X30) ) )
& ~ c1_1(a171)
& ~ c8_1(a171) )
| ( ndr1_0
& ~ c5_1(a172)
& ! [X31] :
( ndr1_1(a172)
=> ( ~ c4_2(a172,X31)
| c5_2(a172,X31)
| ~ c8_2(a172,X31) ) ) ) )
& ( ( ndr1_0
& c7_1(a173)
& c6_1(a173)
& ~ c10_1(a173) )
| ~ c8_0
| ~ c5_0 )
& ( ( ndr1_0
& c9_1(a174)
& ! [X32] :
( ndr1_1(a174)
=> ( c4_2(a174,X32)
| c6_2(a174,X32)
| ~ c8_2(a174,X32) ) )
& ~ c1_1(a174) )
| ~ c5_0
| ( ndr1_0
& c5_1(a175)
& ndr1_1(a175)
& c10_2(a175,a176)
& ~ c4_2(a175,a176)
& ~ c6_2(a175,a176)
& c1_1(a175) ) )
& ( ( ndr1_0
& ndr1_1(a177)
& ~ c3_2(a177,a178)
& ~ c9_2(a177,a178)
& ~ c7_2(a177,a178)
& ! [X33] :
( ndr1_1(a177)
=> ( ~ c2_2(a177,X33)
| ~ c6_2(a177,X33)
| ~ c4_2(a177,X33) ) )
& c1_1(a177) )
| c6_0 )
& ( ! [X34] :
( ndr1_0
=> ( ~ c9_1(X34)
| c3_1(X34)
| ~ c2_1(X34) ) )
| ! [X35] :
( ndr1_0
=> ( ! [X36] :
( ndr1_1(X35)
=> ( ~ c4_2(X35,X36)
| c6_2(X35,X36)
| ~ c1_2(X35,X36) ) )
| c2_1(X35) ) ) )
& ( ( ndr1_0
& ndr1_1(a179)
& ~ c8_2(a179,a180)
& c5_2(a179,a180)
& c10_2(a179,a180)
& ndr1_1(a179)
& c3_2(a179,a181)
& c5_2(a179,a181)
& ~ c9_1(a179) )
| ! [X37] :
( ndr1_0
=> ( ( ndr1_1(X37)
& ~ c9_2(X37,a182)
& ~ c2_2(X37,a182) )
| ! [X38] :
( ndr1_1(X37)
=> ( c3_2(X37,X38)
| c10_2(X37,X38)
| c7_2(X37,X38) ) )
| ! [X39] :
( ndr1_1(X37)
=> ( c3_2(X37,X39)
| ~ c6_2(X37,X39) ) ) ) )
| ! [X40] :
( ndr1_0
=> ( c4_1(X40)
| ~ c7_1(X40)
| c8_1(X40) ) ) )
& ( ! [X41] :
( ndr1_0
=> ( c5_1(X41)
| ( ndr1_1(X41)
& ~ c2_2(X41,a183)
& ~ c6_2(X41,a183)
& ~ c1_2(X41,a183) )
| c3_1(X41) ) )
| ~ c7_0
| ! [X42] :
( ndr1_0
=> ( ( ndr1_1(X42)
& c9_2(X42,a184)
& ~ c7_2(X42,a184)
& ~ c5_2(X42,a184) )
| ! [X43] :
( ndr1_1(X42)
=> ( c9_2(X42,X43)
| ~ c1_2(X42,X43)
| ~ c6_2(X42,X43) ) )
| ~ c4_1(X42) ) ) )
& ( ! [X44] :
( ndr1_0
=> ( c4_1(X44)
| c5_1(X44) ) )
| ~ c9_0
| c5_0 )
& ( ! [X45] :
( ndr1_0
=> ( ~ c10_1(X45)
| ! [X46] :
( ndr1_1(X45)
=> ( c2_2(X45,X46)
| ~ c4_2(X45,X46)
| ~ c10_2(X45,X46) ) )
| ~ c5_1(X45) ) )
| c2_0
| ~ c6_0 )
& ( ( ndr1_0
& c5_1(a185)
& ! [X47] :
( ndr1_1(a185)
=> ( ~ c10_2(a185,X47)
| ~ c8_2(a185,X47)
| ~ c9_2(a185,X47) ) )
& ~ c1_1(a185) )
| c5_0
| ! [X48] :
( ndr1_0
=> ( c6_1(X48)
| ( ndr1_1(X48)
& c9_2(X48,a186)
& ~ c3_2(X48,a186)
& ~ c2_2(X48,a186) )
| ~ c5_1(X48) ) ) )
& ( c3_0
| ~ c8_0
| ! [X49] :
( ndr1_0
=> ( ( ndr1_1(X49)
& ~ c7_2(X49,a187)
& ~ c1_2(X49,a187)
& ~ c2_2(X49,a187) )
| ~ c7_1(X49)
| ( ndr1_1(X49)
& c1_2(X49,a188)
& c9_2(X49,a188)
& c3_2(X49,a188) ) ) ) )
& ( ! [X50] :
( ndr1_0
=> ( ! [X51] :
( ndr1_1(X50)
=> ( c7_2(X50,X51)
| ~ c9_2(X50,X51)
| ~ c10_2(X50,X51) ) )
| ! [X52] :
( ndr1_1(X50)
=> ( ~ c9_2(X50,X52)
| c5_2(X50,X52)
| ~ c4_2(X50,X52) ) )
| ~ c8_1(X50) ) )
| ~ c7_0
| ~ c6_0 )
& ( ! [X53] :
( ndr1_0
=> ( c8_1(X53)
| ! [X54] :
( ndr1_1(X53)
=> ( ~ c10_2(X53,X54)
| c6_2(X53,X54) ) )
| c6_1(X53) ) )
| ( ndr1_0
& c1_1(a189)
& ~ c5_1(a189)
& ~ c3_1(a189) )
| ! [X55] :
( ndr1_0
=> ( ~ c10_1(X55)
| ! [X56] :
( ndr1_1(X55)
=> ( ~ c8_2(X55,X56)
| ~ c2_2(X55,X56) ) )
| ~ c3_1(X55) ) ) )
& ( c7_0
| ( ndr1_0
& ndr1_1(a190)
& c3_2(a190,a191)
& ~ c8_2(a190,a191)
& c7_2(a190,a191)
& ndr1_1(a190)
& ~ c10_2(a190,a192)
& ~ c8_2(a190,a192)
& c4_2(a190,a192) )
| ~ c10_0 )
& ( ~ c4_0
| ! [X57] :
( ndr1_0
=> ( ~ c9_1(X57)
| ! [X58] :
( ndr1_1(X57)
=> ( c8_2(X57,X58)
| ~ c10_2(X57,X58) ) )
| c4_1(X57) ) )
| c10_0 )
& ( ~ c10_0
| ! [X59] :
( ndr1_0
=> ( ~ c2_1(X59)
| ~ c3_1(X59)
| ( ndr1_1(X59)
& ~ c6_2(X59,a193)
& ~ c3_2(X59,a193)
& ~ c10_2(X59,a193) ) ) )
| ! [X60] :
( ndr1_0
=> ( ( ndr1_1(X60)
& c9_2(X60,a194)
& ~ c3_2(X60,a194)
& ~ c1_2(X60,a194) )
| ~ c10_1(X60)
| c8_1(X60) ) ) )
& ( ( ndr1_0
& c7_1(a195)
& c2_1(a195)
& ndr1_1(a195)
& c10_2(a195,a196)
& c2_2(a195,a196)
& ~ c1_2(a195,a196) )
| c1_0
| ~ c6_0 )
& ( ! [X61] :
( ndr1_0
=> ( ! [X62] :
( ndr1_1(X61)
=> ( c6_2(X61,X62)
| c2_2(X61,X62)
| c10_2(X61,X62) ) )
| ( ndr1_1(X61)
& ~ c7_2(X61,a197)
& ~ c8_2(X61,a197)
& ~ c5_2(X61,a197) )
| ~ c9_1(X61) ) )
| ! [X63] :
( ndr1_0
=> ( c6_1(X63)
| ( ndr1_1(X63)
& c7_2(X63,a198)
& c6_2(X63,a198)
& ~ c5_2(X63,a198) )
| ( ndr1_1(X63)
& c7_2(X63,a199)
& c10_2(X63,a199)
& c9_2(X63,a199) ) ) )
| ~ c6_0 )
& ( ( ndr1_0
& ! [X64] :
( ndr1_1(a200)
=> ( c4_2(a200,X64)
| ~ c6_2(a200,X64) ) )
& ndr1_1(a200)
& ~ c7_2(a200,a201)
& c5_2(a200,a201)
& ~ c8_2(a200,a201)
& ndr1_1(a200)
& c2_2(a200,a202)
& c3_2(a200,a202)
& c9_2(a200,a202) )
| ! [X65] :
( ndr1_0
=> ( ( ndr1_1(X65)
& c7_2(X65,a203)
& ~ c3_2(X65,a203)
& c10_2(X65,a203) )
| c1_1(X65)
| c6_1(X65) ) )
| ( ndr1_0
& ndr1_1(a204)
& c6_2(a204,a205)
& ~ c9_2(a204,a205)
& ~ c3_2(a204,a205)
& ! [X66] :
( ndr1_1(a204)
=> ( ~ c8_2(a204,X66)
| ~ c3_2(a204,X66)
| c7_2(a204,X66) ) )
& ~ c10_1(a204) ) )
& ( c9_0
| c1_0
| ~ c8_0 )
& ( ( ndr1_0
& ~ c5_1(a206)
& ! [X67] :
( ndr1_1(a206)
=> ( ~ c4_2(a206,X67)
| c2_2(a206,X67)
| c6_2(a206,X67) ) )
& ! [X68] :
( ndr1_1(a206)
=> ( c9_2(a206,X68)
| c8_2(a206,X68) ) ) )
| ( ndr1_0
& c6_1(a207)
& c9_1(a207)
& c1_1(a207) )
| ~ c7_0 )
& ( c4_0
| ! [X69] :
( ndr1_0
=> ( ( ndr1_1(X69)
& ~ c4_2(X69,a208)
& c9_2(X69,a208) )
| ~ c5_1(X69)
| c10_1(X69) ) )
| ~ c6_0 )
& ( c7_0
| ! [X70] :
( ndr1_0
=> ( ! [X71] :
( ndr1_1(X70)
=> ( ~ c8_2(X70,X71)
| ~ c4_2(X70,X71)
| ~ c2_2(X70,X71) ) )
| ! [X72] :
( ndr1_1(X70)
=> ( c4_2(X70,X72)
| ~ c9_2(X70,X72)
| ~ c10_2(X70,X72) ) )
| ( ndr1_1(X70)
& c10_2(X70,a209)
& ~ c2_2(X70,a209)
& ~ c4_2(X70,a209) ) ) )
| ~ c10_0 )
& ( ! [X73] :
( ndr1_0
=> ( ( ndr1_1(X73)
& ~ c1_2(X73,a210)
& c7_2(X73,a210)
& c3_2(X73,a210) )
| c3_1(X73)
| ( ndr1_1(X73)
& c9_2(X73,a211)
& ~ c4_2(X73,a211)
& ~ c2_2(X73,a211) ) ) )
| ( ndr1_0
& ndr1_1(a212)
& c5_2(a212,a213)
& ~ c8_2(a212,a213)
& c4_2(a212,a213)
& ! [X74] :
( ndr1_1(a212)
=> ( c7_2(a212,X74)
| c9_2(a212,X74)
| ~ c5_2(a212,X74) ) )
& ! [X75] :
( ndr1_1(a212)
=> ( ~ c8_2(a212,X75)
| ~ c5_2(a212,X75)
| ~ c4_2(a212,X75) ) ) )
| ! [X76] :
( ndr1_0
=> ( ( ndr1_1(X76)
& ~ c4_2(X76,a214)
& ~ c6_2(X76,a214)
& c8_2(X76,a214) )
| ~ c5_1(X76) ) ) )
& ( ( ndr1_0
& ~ c1_1(a215)
& ! [X77] :
( ndr1_1(a215)
=> ( ~ c4_2(a215,X77)
| ~ c5_2(a215,X77) ) )
& c8_1(a215) )
| ( ndr1_0
& ! [X78] :
( ndr1_1(a216)
=> ( c10_2(a216,X78)
| c1_2(a216,X78)
| c3_2(a216,X78) ) )
& ! [X79] :
( ndr1_1(a216)
=> ( ~ c6_2(a216,X79)
| c5_2(a216,X79)
| c8_2(a216,X79) ) )
& ndr1_1(a216)
& ~ c6_2(a216,a217)
& c10_2(a216,a217)
& ~ c8_2(a216,a217) )
| ~ c10_0 )
& ( c5_0
| ~ c6_0 )
& ( ! [X80] :
( ndr1_0
=> ( c4_1(X80)
| ~ c7_1(X80) ) )
| c2_0
| c1_0 )
& ( ! [X81] :
( ndr1_0
=> ( ! [X82] :
( ndr1_1(X81)
=> ( ~ c9_2(X81,X82)
| ~ c7_2(X81,X82) ) )
| c10_1(X81)
| ( ndr1_1(X81)
& ~ c5_2(X81,a218)
& c1_2(X81,a218)
& c7_2(X81,a218) ) ) )
| ( ndr1_0
& ~ c7_1(a219)
& ~ c5_1(a219) )
| ~ c3_0 )
& ( c2_0
| ~ c1_0
| ~ c3_0 )
& ( ~ c9_0
| c5_0
| ! [X83] :
( ndr1_0
=> ( ! [X84] :
( ndr1_1(X83)
=> ( c7_2(X83,X84)
| ~ c3_2(X83,X84) ) )
| c6_1(X83)
| ~ c1_1(X83) ) ) )
& ( ~ c4_0
| ! [X85] :
( ndr1_0
=> ( ~ c9_1(X85)
| c10_1(X85)
| ( ndr1_1(X85)
& ~ c2_2(X85,a220)
& ~ c4_2(X85,a220)
& ~ c9_2(X85,a220) ) ) )
| ~ c3_0 )
& ( ! [X86] :
( ndr1_0
=> ( ~ c7_1(X86)
| ( ndr1_1(X86)
& c1_2(X86,a221)
& c5_2(X86,a221)
& ~ c8_2(X86,a221) ) ) )
| ! [X87] :
( ndr1_0
=> ( c3_1(X87)
| c5_1(X87)
| ! [X88] :
( ndr1_1(X87)
=> ( c8_2(X87,X88)
| ~ c4_2(X87,X88)
| ~ c7_2(X87,X88) ) ) ) )
| ~ c8_0 )
& ( ( ndr1_0
& c1_1(a222)
& c4_1(a222) )
| ~ c7_0
| ! [X89] :
( ndr1_0
=> ( ( ndr1_1(X89)
& c10_2(X89,a223)
& c9_2(X89,a223)
& ~ c6_2(X89,a223) )
| ! [X90] :
( ndr1_1(X89)
=> ( c1_2(X89,X90)
| ~ c7_2(X89,X90)
| c9_2(X89,X90) ) )
| c10_1(X89) ) ) )
& ( c10_0
| ( ndr1_0
& ~ c1_1(a224)
& ! [X91] :
( ndr1_1(a224)
=> ( c4_2(a224,X91)
| ~ c9_2(a224,X91)
| c8_2(a224,X91) ) )
& ndr1_1(a224)
& c3_2(a224,a225)
& ~ c4_2(a224,a225)
& c9_2(a224,a225) )
| ! [X92] :
( ndr1_0
=> ( c8_1(X92)
| ( ndr1_1(X92)
& c3_2(X92,a226)
& ~ c4_2(X92,a226)
& ~ c8_2(X92,a226) )
| ( ndr1_1(X92)
& c10_2(X92,a227)
& ~ c1_2(X92,a227)
& ~ c7_2(X92,a227) ) ) ) )
& ( c4_0
| ~ c8_0
| ~ c3_0 )
& ( ! [X93] :
( ndr1_0
=> ( ! [X94] :
( ndr1_1(X93)
=> ( ~ c8_2(X93,X94)
| ~ c10_2(X93,X94) ) )
| ( ndr1_1(X93)
& ~ c10_2(X93,a228)
& ~ c1_2(X93,a228) )
| c8_1(X93) ) )
| ! [X95] :
( ndr1_0
=> ( ( ndr1_1(X95)
& c2_2(X95,a229)
& ~ c7_2(X95,a229) )
| c2_1(X95)
| c9_1(X95) ) ) )
& ( ! [X96] :
( ndr1_0
=> ( ( ndr1_1(X96)
& c7_2(X96,a230)
& c6_2(X96,a230)
& ~ c3_2(X96,a230) )
| c10_1(X96)
| ( ndr1_1(X96)
& ~ c8_2(X96,a231)
& ~ c1_2(X96,a231)
& c2_2(X96,a231) ) ) )
| ( ndr1_0
& ndr1_1(a232)
& ~ c7_2(a232,a233)
& c8_2(a232,a233)
& ! [X97] :
( ndr1_1(a232)
=> ( ~ c3_2(a232,X97)
| ~ c6_2(a232,X97)
| ~ c9_2(a232,X97) ) )
& c6_1(a232) )
| ~ c10_0 )
& ( ~ c8_0
| ( ndr1_0
& c9_1(a234)
& ~ c1_1(a234) )
| c4_0 )
& ( ! [X98] :
( ndr1_0
=> ( ~ c7_1(X98)
| ~ c5_1(X98)
| ! [X99] :
( ndr1_1(X98)
=> ( ~ c4_2(X98,X99)
| ~ c5_2(X98,X99)
| ~ c10_2(X98,X99) ) ) ) )
| ( ndr1_0
& c8_1(a235)
& ~ c5_1(a235) )
| c4_0 )
& ( c8_0
| c7_0 )
& ( ! [X100] :
( ndr1_0
=> ( ~ c5_1(X100)
| c10_1(X100)
| ! [X101] :
( ndr1_1(X100)
=> ( c7_2(X100,X101)
| ~ c3_2(X100,X101)
| c6_2(X100,X101) ) ) ) )
| ! [X102] :
( ndr1_0
=> ( ~ c10_1(X102)
| ! [X103] :
( ndr1_1(X102)
=> ( ~ c6_2(X102,X103)
| ~ c3_2(X102,X103)
| c9_2(X102,X103) ) )
| c5_1(X102) ) )
| ~ c8_0 )
& ( ~ c5_0
| ~ c2_0
| ! [X104] :
( ndr1_0
=> ( ! [X105] :
( ndr1_1(X104)
=> ( c10_2(X104,X105)
| c1_2(X104,X105) ) )
| ! [X106] :
( ndr1_1(X104)
=> ( ~ c10_2(X104,X106)
| c6_2(X104,X106) ) ) ) ) )
& ( ! [X107] :
( ndr1_0
=> ( ~ c7_1(X107)
| ( ndr1_1(X107)
& ~ c8_2(X107,a236)
& ~ c6_2(X107,a236)
& ~ c10_2(X107,a236) )
| ! [X108] :
( ndr1_1(X107)
=> ( ~ c10_2(X107,X108)
| ~ c2_2(X107,X108)
| c8_2(X107,X108) ) ) ) )
| ( ndr1_0
& ! [X109] :
( ndr1_1(a237)
=> ( ~ c5_2(a237,X109)
| ~ c6_2(a237,X109)
| ~ c4_2(a237,X109) ) )
& ndr1_1(a237)
& ~ c7_2(a237,a238)
& c2_2(a237,a238)
& c4_2(a237,a238)
& ! [X110] :
( ndr1_1(a237)
=> ( ~ c2_2(a237,X110)
| c3_2(a237,X110)
| c1_2(a237,X110) ) ) )
| ~ c9_0 )
& ( c9_0
| ( ndr1_0
& c2_1(a239)
& ! [X111] :
( ndr1_1(a239)
=> ( ~ c2_2(a239,X111)
| ~ c10_2(a239,X111)
| c3_2(a239,X111) ) )
& ~ c10_1(a239) )
| ( ndr1_0
& ndr1_1(a240)
& ~ c4_2(a240,a241)
& c3_2(a240,a241)
& c9_2(a240,a241)
& ndr1_1(a240)
& ~ c7_2(a240,a242)
& c8_2(a240,a242)
& ! [X112] :
( ndr1_1(a240)
=> ( ~ c5_2(a240,X112)
| ~ c9_2(a240,X112)
| ~ c1_2(a240,X112) ) ) ) )
& ( c7_0
| ! [X113] :
( ndr1_0
=> ! [X114] :
( ndr1_1(X113)
=> ( c7_2(X113,X114)
| c8_2(X113,X114)
| c1_2(X113,X114) ) ) )
| c1_0 )
& ( ! [X115] :
( ndr1_0
=> ( c3_1(X115)
| ( ndr1_1(X115)
& ~ c5_2(X115,a243)
& ~ c3_2(X115,a243)
& c8_2(X115,a243) )
| ~ c1_1(X115) ) )
| ! [X116] :
( ndr1_0
=> ( ( ndr1_1(X116)
& ~ c3_2(X116,a244)
& ~ c8_2(X116,a244)
& c5_2(X116,a244) )
| ! [X117] :
( ndr1_1(X116)
=> ( c4_2(X116,X117)
| ~ c8_2(X116,X117)
| c7_2(X116,X117) ) )
| ! [X118] :
( ndr1_1(X116)
=> ( c4_2(X116,X118)
| c7_2(X116,X118)
| ~ c9_2(X116,X118) ) ) ) ) )
& ( ~ c9_0
| c7_0
| ( ndr1_0
& c9_1(a245)
& c5_1(a245)
& ! [X119] :
( ndr1_1(a245)
=> ( ~ c10_2(a245,X119)
| ~ c7_2(a245,X119)
| c9_2(a245,X119) ) ) ) )
& ( c10_0
| ~ c4_0
| ( ndr1_0
& ! [X120] :
( ndr1_1(a246)
=> ( ~ c5_2(a246,X120)
| ~ c9_2(a246,X120)
| c10_2(a246,X120) ) )
& ! [X121] :
( ndr1_1(a246)
=> ( c7_2(a246,X121)
| c6_2(a246,X121)
| c5_2(a246,X121) ) )
& ~ c1_1(a246) ) )
& ( c4_0
| c1_0
| ~ c8_0 )
& ( ~ c9_0
| ( ndr1_0
& ndr1_1(a247)
& c5_2(a247,a248)
& ~ c6_2(a247,a248)
& c3_2(a247,a248)
& ndr1_1(a247)
& ~ c6_2(a247,a249)
& ~ c10_2(a247,a249)
& ~ c4_2(a247,a249)
& ~ c8_1(a247) )
| c7_0 )
& ( ! [X122] :
( ndr1_0
=> ( ! [X123] :
( ndr1_1(X122)
=> ( c10_2(X122,X123)
| ~ c5_2(X122,X123)
| ~ c3_2(X122,X123) ) )
| ~ c9_1(X122)
| ( ndr1_1(X122)
& c6_2(X122,a250)
& c2_2(X122,a250) ) ) )
| ! [X124] :
( ndr1_0
=> ( ~ c10_1(X124)
| ~ c9_1(X124)
| c1_1(X124) ) ) )
& ( ( ndr1_0
& ndr1_1(a251)
& c10_2(a251,a252)
& c1_2(a251,a252)
& ~ c5_2(a251,a252)
& c2_1(a251)
& ~ c9_1(a251) )
| ~ c7_0
| c6_0 )
& ( c10_0
| ! [X125] :
( ndr1_0
=> ( c6_1(X125)
| ! [X126] :
( ndr1_1(X125)
=> ( c9_2(X125,X126)
| ~ c1_2(X125,X126) ) )
| ! [X127] :
( ndr1_1(X125)
=> ( c6_2(X125,X127)
| c3_2(X125,X127)
| ~ c8_2(X125,X127) ) ) ) )
| ( ndr1_0
& ~ c5_1(a253)
& c9_1(a253)
& c1_1(a253) ) )
& ( c6_0
| ~ c10_0
| ~ c4_0 )
& ( ~ c6_0
| c2_0 )
& ( ! [X128] :
( ndr1_0
=> ( ( ndr1_1(X128)
& c10_2(X128,a254)
& ~ c8_2(X128,a254)
& c6_2(X128,a254) )
| ( ndr1_1(X128)
& ~ c6_2(X128,a255)
& c9_2(X128,a255)
& ~ c4_2(X128,a255) )
| c8_1(X128) ) )
| ! [X129] :
( ndr1_0
=> ( c7_1(X129)
| c9_1(X129)
| ~ c2_1(X129) ) )
| ! [X130] :
( ndr1_0
=> ( c6_1(X130)
| ~ c9_1(X130)
| ! [X131] :
( ndr1_1(X130)
=> ( c8_2(X130,X131)
| c6_2(X130,X131)
| ~ c1_2(X130,X131) ) ) ) ) )
& ( ~ c3_0
| ! [X132] :
( ndr1_0
=> ( ( ndr1_1(X132)
& ~ c8_2(X132,a256)
& ~ c9_2(X132,a256) )
| c5_1(X132)
| c8_1(X132) ) )
| c8_0 )
& ( c10_0
| ( ndr1_0
& ~ c7_1(a257)
& ~ c2_1(a257)
& c5_1(a257) )
| c9_0 )
& ( ~ c5_0
| ~ c4_0
| c8_0 )
& ( ! [X133] :
( ndr1_0
=> ( ~ c10_1(X133)
| ! [X134] :
( ndr1_1(X133)
=> ( c3_2(X133,X134)
| c7_2(X133,X134)
| c10_2(X133,X134) ) )
| c3_1(X133) ) )
| c9_0
| ~ c6_0 )
& ( ( ndr1_0
& ~ c8_1(a258)
& ndr1_1(a258)
& ~ c10_2(a258,a259)
& ~ c6_2(a258,a259)
& ~ c2_2(a258,a259)
& c5_1(a258) )
| ! [X135] :
( ndr1_0
=> ( ( ndr1_1(X135)
& c6_2(X135,a260)
& ~ c10_2(X135,a260)
& ~ c2_2(X135,a260) )
| ~ c2_1(X135) ) )
| c9_0 )
& ( ( ndr1_0
& ! [X136] :
( ndr1_1(a261)
=> ( c1_2(a261,X136)
| c8_2(a261,X136)
| ~ c7_2(a261,X136) ) )
& ~ c9_1(a261)
& ! [X137] :
( ndr1_1(a261)
=> ( ~ c7_2(a261,X137)
| c2_2(a261,X137)
| ~ c1_2(a261,X137) ) ) )
| ( ndr1_0
& c5_1(a262)
& ndr1_1(a262)
& c8_2(a262,a263)
& c9_2(a262,a263)
& c10_2(a262,a263)
& ndr1_1(a262)
& ~ c6_2(a262,a264)
& ~ c10_2(a262,a264)
& ~ c4_2(a262,a264) )
| c2_0 )
& ( ~ c7_0
| ! [X138] :
( ndr1_0
=> ( ~ c5_1(X138)
| c2_1(X138)
| ~ c6_1(X138) ) )
| c8_0 )
& ( c2_0
| c1_0
| ( ndr1_0
& c1_1(a265)
& c2_1(a265)
& ~ c7_1(a265) ) )
& ( c1_0
| ( ndr1_0
& ~ c7_1(a266)
& ndr1_1(a266)
& ~ c9_2(a266,a267)
& c7_2(a266,a267)
& ~ c5_2(a266,a267)
& ndr1_1(a266)
& c10_2(a266,a268)
& ~ c2_2(a266,a268)
& c6_2(a266,a268) )
| ~ c5_0 ) ) ).
%--------------------------------------------------------------------------