TPTP Problem File: SYN547+1.p
View Solutions
- Solve Problem
%--------------------------------------------------------------------------
% File : SYN547+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=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-8-1-120-3-2-078.dfg [Wei97]
% Status : CounterSatisfiable
% Rating : 0.00 v5.5.0, 0.20 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, 0.00 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 v2.4.0, 0.67 v2.2.1, 0.00 v2.1.0
% Syntax : Number of formulae : 1 ( 0 unt; 0 def)
% Number of atoms : 1137 ( 0 equ)
% Maximal formula atoms : 1137 (1137 avg)
% Number of connectives : 1537 ( 401 ~; 463 |; 513 &)
% ( 0 <=>; 160 =>; 0 <=; 0 <~>)
% Maximal formula depth : 108 ( 108 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 26 ( 26 usr; 9 prp; 0-2 aty)
% Number of functors : 148 ( 148 usr; 148 con; 0-0 aty)
% Number of variables : 160 ( 160 !; 0 ?)
% SPC : FOF_CSA_EPR_NEQ
% Comments : These ALC problems have been translated from propositional
% multi-modal K logic formulae generated according to the scheme
% described in [HS97], using the optimized functional translation
% described in [OS95]. The finite model property holds, the
% Herbrand Universe is finite, they are decidable (the complexity
% is PSPACE-complete), resolution + subsumption + condensing is a
% decision procedure, and the translated formulae belong to the
% (CNF-translation of the) Bernays-Schoenfinkel class [Wei97].
%--------------------------------------------------------------------------
fof(co1,conjecture,
~ ( ( ! [U] :
( ndr1_0
=> ( ~ c4_1(U)
| ( ndr1_1(U)
& ~ c4_2(U,a456)
& c6_2(U,a456)
& c8_2(U,a456) )
| ( ndr1_1(U)
& ~ c6_2(U,a457)
& c7_2(U,a457)
& c5_2(U,a457) ) ) )
| c2_0
| ~ c7_0 )
& ( c2_0
| ~ c1_0 )
& ( ~ c8_0
| ( ndr1_0
& ~ c6_1(a458)
& c4_1(a458)
& ~ c2_1(a458) )
| ! [V] :
( ndr1_0
=> ( ~ c6_1(V)
| c2_1(V)
| ! [W] :
( ndr1_1(V)
=> ( c3_2(V,W)
| ~ c7_2(V,W) ) ) ) ) )
& ( ! [X] :
( ndr1_0
=> ( ~ c3_1(X)
| ~ c8_1(X)
| ( ndr1_1(X)
& ~ c6_2(X,a459)
& ~ c3_2(X,a459)
& c7_2(X,a459) ) ) )
| ~ c6_0
| ! [Y] :
( ndr1_0
=> ( ndr1_1(Y)
& c8_2(Y,a460)
& c5_2(Y,a460)
& c1_2(Y,a460) ) ) )
& ( ! [Z] :
( ndr1_0
=> ( ! [X1] :
( ndr1_1(Z)
=> ( ~ c7_2(Z,X1)
| ~ c8_2(Z,X1) ) )
| ( ndr1_1(Z)
& ~ c7_2(Z,a461)
& ~ c2_2(Z,a461)
& ~ c4_2(Z,a461) )
| ~ c8_1(Z) ) )
| c2_0
| c6_0 )
& ( ! [X2] :
( ndr1_0
=> ( ! [X3] :
( ndr1_1(X2)
=> ( ~ c2_2(X2,X3)
| c6_2(X2,X3)
| ~ c4_2(X2,X3) ) )
| ( ndr1_1(X2)
& ~ c1_2(X2,a462)
& ~ c7_2(X2,a462)
& ~ c6_2(X2,a462) )
| ~ c8_1(X2) ) )
| ~ c5_0
| ( ndr1_0
& c7_1(a463)
& ~ c1_1(a463)
& ~ c5_1(a463) ) )
& ( c6_0
| ( ndr1_0
& c2_1(a464)
& c8_1(a464)
& ~ c7_1(a464) )
| ~ c1_0 )
& ( ! [X4] :
( ndr1_0
=> ( ! [X5] :
( ndr1_1(X4)
=> ( ~ c6_2(X4,X5)
| c5_2(X4,X5)
| ~ c7_2(X4,X5) ) )
| ( ndr1_1(X4)
& ~ c1_2(X4,a465)
& ~ c5_2(X4,a465)
& ~ c7_2(X4,a465) )
| c8_1(X4) ) )
| ! [X6] :
( ndr1_0
=> ( c8_1(X6)
| ! [X7] :
( ndr1_1(X6)
=> ( ~ c6_2(X6,X7)
| c1_2(X6,X7)
| ~ c2_2(X6,X7) ) )
| ~ c1_1(X6) ) )
| ! [X8] :
( ndr1_0
=> ( c1_1(X8)
| c2_1(X8)
| ! [X9] :
( ndr1_1(X8)
=> ( c1_2(X8,X9)
| c7_2(X8,X9)
| c3_2(X8,X9) ) ) ) ) )
& ( ( ndr1_0
& c1_1(a466)
& ~ c8_1(a466) )
| ~ c2_0 )
& ( c8_0
| ~ c5_0 )
& ( ! [X10] :
( ndr1_0
=> ( ! [X11] :
( ndr1_1(X10)
=> ( c8_2(X10,X11)
| ~ c4_2(X10,X11)
| ~ c7_2(X10,X11) ) )
| c8_1(X10)
| ~ c2_1(X10) ) )
| ! [X12] :
( ndr1_0
=> ( ( ndr1_1(X12)
& c8_2(X12,a467)
& c2_2(X12,a467)
& c3_2(X12,a467) )
| ~ c6_1(X12)
| ~ c8_1(X12) ) ) )
& ( ~ c4_0
| ( ndr1_0
& c6_1(a468)
& ~ c4_1(a468)
& ~ c3_1(a468) ) )
& ( ! [X13] :
( ndr1_0
=> ( ( ndr1_1(X13)
& c2_2(X13,a469)
& ~ c8_2(X13,a469)
& ~ c6_2(X13,a469) )
| ! [X14] :
( ndr1_1(X13)
=> ( c3_2(X13,X14)
| ~ c6_2(X13,X14)
| ~ c2_2(X13,X14) ) )
| c8_1(X13) ) )
| c6_0
| c2_0 )
& ( ( ndr1_0
& ! [X15] :
( ndr1_1(a470)
=> ( ~ c1_2(a470,X15)
| c7_2(a470,X15)
| ~ c4_2(a470,X15) ) )
& c7_1(a470)
& ! [X16] :
( ndr1_1(a470)
=> ( ~ c8_2(a470,X16)
| c7_2(a470,X16) ) ) )
| c8_0
| ( ndr1_0
& c3_1(a471)
& ndr1_1(a471)
& c7_2(a471,a472)
& ~ c5_2(a471,a472)
& ! [X17] :
( ndr1_1(a471)
=> ( c3_2(a471,X17)
| c1_2(a471,X17)
| c6_2(a471,X17) ) ) ) )
& c3_0
& ( ~ c7_0
| ! [X18] :
( ndr1_0
=> ( ( ndr1_1(X18)
& c8_2(X18,a473)
& c4_2(X18,a473)
& ~ c3_2(X18,a473) )
| ~ c3_1(X18) ) )
| ! [X19] :
( ndr1_0
=> ! [X20] :
( ndr1_1(X19)
=> ( ~ c8_2(X19,X20)
| ~ c4_2(X19,X20)
| ~ c1_2(X19,X20) ) ) ) )
& ( ! [X21] :
( ndr1_0
=> ( ( ndr1_1(X21)
& c6_2(X21,a474)
& c7_2(X21,a474)
& c1_2(X21,a474) )
| ~ c5_1(X21) ) )
| ! [X22] :
( ndr1_0
=> ( c6_1(X22)
| ~ c7_1(X22)
| ! [X23] :
( ndr1_1(X22)
=> ( c1_2(X22,X23)
| c4_2(X22,X23)
| ~ c6_2(X22,X23) ) ) ) )
| ! [X24] :
( ndr1_0
=> ( ! [X25] :
( ndr1_1(X24)
=> ( c4_2(X24,X25)
| ~ c6_2(X24,X25)
| ~ c3_2(X24,X25) ) )
| c8_1(X24)
| ~ c3_1(X24) ) ) )
& ( ( ndr1_0
& ! [X26] :
( ndr1_1(a475)
=> ( ~ c8_2(a475,X26)
| c4_2(a475,X26)
| c5_2(a475,X26) ) )
& ndr1_1(a475)
& c5_2(a475,a476)
& ~ c3_2(a475,a476)
& c7_2(a475,a476)
& ndr1_1(a475)
& c4_2(a475,a477)
& c6_2(a475,a477)
& c7_2(a475,a477) )
| c7_0
| ~ c2_0 )
& ( ! [X27] :
( ndr1_0
=> ( ( ndr1_1(X27)
& ~ c4_2(X27,a478)
& c7_2(X27,a478)
& ~ c5_2(X27,a478) )
| ~ c3_1(X27)
| ! [X28] :
( ndr1_1(X27)
=> ( ~ c6_2(X27,X28)
| ~ c1_2(X27,X28) ) ) ) )
| c2_0
| ~ c1_0 )
& ( ~ c6_0
| ! [X29] :
( ndr1_0
=> ( ! [X30] :
( ndr1_1(X29)
=> ( c3_2(X29,X30)
| c1_2(X29,X30)
| ~ c8_2(X29,X30) ) )
| ~ c8_1(X29)
| ( ndr1_1(X29)
& c6_2(X29,a479)
& ~ c7_2(X29,a479) ) ) )
| ! [X31] :
( ndr1_0
=> ( ( ndr1_1(X31)
& c3_2(X31,a480)
& c4_2(X31,a480)
& ~ c6_2(X31,a480) )
| c3_1(X31)
| ~ c2_1(X31) ) ) )
& ( c5_0
| ! [X32] :
( ndr1_0
=> ( ! [X33] :
( ndr1_1(X32)
=> ( c4_2(X32,X33)
| ~ c6_2(X32,X33)
| ~ c3_2(X32,X33) ) )
| c8_1(X32)
| ( ndr1_1(X32)
& c2_2(X32,a481)
& c8_2(X32,a481) ) ) )
| ( ndr1_0
& ndr1_1(a482)
& c3_2(a482,a483)
& c2_2(a482,a483)
& c8_2(a482,a483)
& ! [X34] :
( ndr1_1(a482)
=> ( c2_2(a482,X34)
| ~ c6_2(a482,X34)
| ~ c8_2(a482,X34) ) )
& ndr1_1(a482)
& c5_2(a482,a484)
& ~ c6_2(a482,a484)
& ~ c4_2(a482,a484) ) )
& ( ! [X35] :
( ndr1_0
=> ( ~ c8_1(X35)
| ( ndr1_1(X35)
& ~ c2_2(X35,a485)
& ~ c3_2(X35,a485)
& ~ c1_2(X35,a485) )
| ( ndr1_1(X35)
& c6_2(X35,a486)
& c1_2(X35,a486)
& c5_2(X35,a486) ) ) )
| ~ c5_0
| c7_0 )
& ( ! [X36] :
( ndr1_0
=> ( ~ c2_1(X36)
| c5_1(X36)
| ( ndr1_1(X36)
& c1_2(X36,a487)
& c4_2(X36,a487) ) ) )
| ( ndr1_0
& ~ c3_1(a488)
& c4_1(a488)
& ! [X37] :
( ndr1_1(a488)
=> ( ~ c6_2(a488,X37)
| c2_2(a488,X37)
| c5_2(a488,X37) ) ) )
| c1_0 )
& ( ! [X38] :
( ndr1_0
=> ( c4_1(X38)
| ( ndr1_1(X38)
& c4_2(X38,a489)
& ~ c8_2(X38,a489)
& ~ c3_2(X38,a489) )
| ! [X39] :
( ndr1_1(X38)
=> ( c1_2(X38,X39)
| c5_2(X38,X39)
| ~ c8_2(X38,X39) ) ) ) )
| c8_0
| ~ c7_0 )
& ( c5_0
| ! [X40] :
( ndr1_0
=> ( ~ c8_1(X40)
| ~ c7_1(X40)
| ( ndr1_1(X40)
& c4_2(X40,a490)
& ~ c6_2(X40,a490)
& c7_2(X40,a490) ) ) )
| c6_0 )
& ( ( ndr1_0
& ~ c4_1(a491)
& ! [X41] :
( ndr1_1(a491)
=> ( c6_2(a491,X41)
| c4_2(a491,X41)
| c3_2(a491,X41) ) )
& ~ c5_1(a491) )
| ! [X42] :
( ndr1_0
=> ( ! [X43] :
( ndr1_1(X42)
=> ( c3_2(X42,X43)
| ~ c5_2(X42,X43)
| ~ c8_2(X42,X43) ) )
| ( ndr1_1(X42)
& c4_2(X42,a492)
& ~ c6_2(X42,a492)
& ~ c7_2(X42,a492) )
| ( ndr1_1(X42)
& ~ c6_2(X42,a493)
& c1_2(X42,a493)
& ~ c2_2(X42,a493) ) ) )
| ( ndr1_0
& c1_1(a494)
& ndr1_1(a494)
& ~ c3_2(a494,a495)
& c8_2(a494,a495)
& c4_1(a494) ) )
& ( c7_0
| c2_0
| c8_0 )
& ( ~ c4_0
| ~ c6_0
| ( ndr1_0
& ! [X44] :
( ndr1_1(a496)
=> ( c3_2(a496,X44)
| ~ c8_2(a496,X44)
| ~ c2_2(a496,X44) ) )
& ndr1_1(a496)
& ~ c4_2(a496,a497)
& c3_2(a496,a497)
& c6_2(a496,a497)
& ~ c2_1(a496) ) )
& ( c2_0
| ! [X45] :
( ndr1_0
=> ( ~ c5_1(X45)
| ! [X46] :
( ndr1_1(X45)
=> ( ~ c7_2(X45,X46)
| c2_2(X45,X46)
| ~ c1_2(X45,X46) ) )
| ! [X47] :
( ndr1_1(X45)
=> ( c1_2(X45,X47)
| ~ c5_2(X45,X47)
| c2_2(X45,X47) ) ) ) )
| ! [X48] :
( ndr1_0
=> ( c1_1(X48)
| c2_1(X48)
| ~ c4_1(X48) ) ) )
& ( c1_0
| c2_0
| ( ndr1_0
& ndr1_1(a498)
& c3_2(a498,a499)
& c7_2(a498,a499)
& ~ c8_2(a498,a499)
& c7_1(a498)
& ndr1_1(a498)
& c8_2(a498,a500)
& c4_2(a498,a500)
& ~ c7_2(a498,a500) ) )
& ( ( ndr1_0
& c5_1(a501)
& ~ c6_1(a501)
& ~ c8_1(a501) )
| c7_0
| ! [X49] :
( ndr1_0
=> ( ! [X50] :
( ndr1_1(X49)
=> ( c7_2(X49,X50)
| c6_2(X49,X50)
| c1_2(X49,X50) ) )
| c1_1(X49)
| ~ c2_1(X49) ) ) )
& ( ! [X51] :
( ndr1_0
=> ( ( ndr1_1(X51)
& ~ c1_2(X51,a502)
& ~ c7_2(X51,a502)
& ~ c8_2(X51,a502) )
| ( ndr1_1(X51)
& ~ c3_2(X51,a503)
& ~ c4_2(X51,a503)
& c1_2(X51,a503) )
| ( ndr1_1(X51)
& ~ c5_2(X51,a504)
& c8_2(X51,a504)
& ~ c3_2(X51,a504) ) ) )
| ( ndr1_0
& ~ c2_1(a505)
& ndr1_1(a505)
& ~ c8_2(a505,a506)
& c6_2(a505,a506)
& ~ c1_2(a505,a506) )
| ~ c4_0 )
& ( ! [X52] :
( ndr1_0
=> ( ~ c6_1(X52)
| ( ndr1_1(X52)
& ~ c2_2(X52,a507)
& c5_2(X52,a507) ) ) )
| ! [X53] :
( ndr1_0
=> ( ~ c8_1(X53)
| ~ c1_1(X53)
| ~ c5_1(X53) ) )
| c6_0 )
& ( ~ c6_0
| ! [X54] :
( ndr1_0
=> ( ~ c4_1(X54)
| ! [X55] :
( ndr1_1(X54)
=> ( ~ c4_2(X54,X55)
| ~ c3_2(X54,X55)
| ~ c7_2(X54,X55) ) ) ) )
| ( ndr1_0
& ~ c2_1(a508)
& c1_1(a508) ) )
& ( ~ c4_0
| c7_0
| ( ndr1_0
& ndr1_1(a509)
& c4_2(a509,a510)
& ~ c8_2(a509,a510)
& ~ c1_2(a509,a510)
& ndr1_1(a509)
& ~ c5_2(a509,a511)
& ~ c6_2(a509,a511)
& c3_2(a509,a511) ) )
& ( ~ c5_0
| ~ c1_0
| ~ c8_0 )
& ( ( ndr1_0
& c6_1(a512)
& ndr1_1(a512)
& ~ c1_2(a512,a513)
& ~ c2_2(a512,a513)
& c3_2(a512,a513) )
| ( ndr1_0
& ! [X56] :
( ndr1_1(a514)
=> ( c6_2(a514,X56)
| ~ c4_2(a514,X56)
| ~ c8_2(a514,X56) ) )
& c5_1(a514)
& ~ c1_1(a514) )
| ! [X57] :
( ndr1_0
=> ( ( ndr1_1(X57)
& ~ c2_2(X57,a515)
& c7_2(X57,a515)
& ~ c3_2(X57,a515) )
| ( ndr1_1(X57)
& ~ c6_2(X57,a516)
& ~ c2_2(X57,a516) )
| ! [X58] :
( ndr1_1(X57)
=> ( c5_2(X57,X58)
| ~ c4_2(X57,X58) ) ) ) ) )
& ( ( ndr1_0
& c6_1(a517)
& c4_1(a517)
& c2_1(a517) )
| c8_0
| ( ndr1_0
& ndr1_1(a518)
& c7_2(a518,a519)
& c5_2(a518,a519)
& ~ c4_2(a518,a519)
& c5_1(a518) ) )
& ( ! [X59] :
( ndr1_0
=> ( ~ c1_1(X59)
| c7_1(X59)
| ~ c3_1(X59) ) )
| ~ c5_0 )
& ( c5_0
| ( ndr1_0
& ~ c5_1(a520)
& ~ c2_1(a520)
& ndr1_1(a520)
& ~ c4_2(a520,a521)
& c2_2(a520,a521)
& ~ c1_2(a520,a521) )
| c1_0 )
& ( ( ndr1_0
& ndr1_1(a522)
& ~ c8_2(a522,a523)
& c4_2(a522,a523)
& c1_2(a522,a523)
& ndr1_1(a522)
& ~ c1_2(a522,a524)
& c6_2(a522,a524)
& ~ c8_2(a522,a524)
& c6_1(a522) )
| ~ c5_0
| c6_0 )
& ( ! [X60] :
( ndr1_0
=> ( c8_1(X60)
| ~ c4_1(X60)
| ! [X61] :
( ndr1_1(X60)
=> ( c3_2(X60,X61)
| ~ c6_2(X60,X61)
| ~ c4_2(X60,X61) ) ) ) )
| ~ c2_0
| ! [X62] :
( ndr1_0
=> ( ~ c3_1(X62)
| ( ndr1_1(X62)
& c7_2(X62,a525)
& ~ c6_2(X62,a525)
& ~ c2_2(X62,a525) )
| c6_1(X62) ) ) )
& ( ! [X63] :
( ndr1_0
=> ( ( ndr1_1(X63)
& c7_2(X63,a526)
& ~ c3_2(X63,a526)
& c8_2(X63,a526) )
| ( ndr1_1(X63)
& ~ c2_2(X63,a527)
& ~ c1_2(X63,a527)
& c4_2(X63,a527) )
| ! [X64] :
( ndr1_1(X63)
=> ( ~ c1_2(X63,X64)
| c3_2(X63,X64)
| c2_2(X63,X64) ) ) ) )
| ~ c4_0
| ! [X65] :
( ndr1_0
=> ( ! [X66] :
( ndr1_1(X65)
=> ( c3_2(X65,X66)
| ~ c7_2(X65,X66)
| c8_2(X65,X66) ) )
| ( ndr1_1(X65)
& c6_2(X65,a528)
& c2_2(X65,a528)
& ~ c5_2(X65,a528) )
| c2_1(X65) ) ) )
& ( c2_0
| ! [X67] :
( ndr1_0
=> ( ~ c8_1(X67)
| ( ndr1_1(X67)
& ~ c8_2(X67,a529)
& ~ c1_2(X67,a529)
& ~ c5_2(X67,a529) )
| ! [X68] :
( ndr1_1(X67)
=> ( c7_2(X67,X68)
| c5_2(X67,X68) ) ) ) )
| ~ c5_0 )
& ( ~ c2_0
| ( ndr1_0
& ! [X69] :
( ndr1_1(a530)
=> ( ~ c6_2(a530,X69)
| c7_2(a530,X69)
| ~ c4_2(a530,X69) ) )
& ! [X70] :
( ndr1_1(a530)
=> ( ~ c6_2(a530,X70)
| ~ c8_2(a530,X70)
| ~ c3_2(a530,X70) ) )
& ! [X71] :
( ndr1_1(a530)
=> ( c8_2(a530,X71)
| c4_2(a530,X71)
| c7_2(a530,X71) ) ) )
| ! [X72] :
( ndr1_0
=> ( c8_1(X72)
| ~ c6_1(X72)
| c1_1(X72) ) ) )
& ( ( ndr1_0
& c4_1(a531)
& ~ c5_1(a531)
& ~ c6_1(a531) )
| ! [X73] :
( ndr1_0
=> ( ! [X74] :
( ndr1_1(X73)
=> ( c3_2(X73,X74)
| ~ c8_2(X73,X74)
| ~ c1_2(X73,X74) ) )
| c5_1(X73)
| ! [X75] :
( ndr1_1(X73)
=> ( c3_2(X73,X75)
| c6_2(X73,X75)
| ~ c7_2(X73,X75) ) ) ) ) )
& ( ! [X76] :
( ndr1_0
=> ( c2_1(X76)
| ! [X77] :
( ndr1_1(X76)
=> ( ~ c6_2(X76,X77)
| c7_2(X76,X77)
| ~ c2_2(X76,X77) ) )
| c4_1(X76) ) )
| ( ndr1_0
& ! [X78] :
( ndr1_1(a532)
=> ( c7_2(a532,X78)
| ~ c4_2(a532,X78)
| ~ c8_2(a532,X78) ) )
& c3_1(a532)
& c1_1(a532) )
| ( ndr1_0
& ~ c3_1(a533) ) )
& ( ( ndr1_0
& c8_1(a534)
& ndr1_1(a534)
& ~ c6_2(a534,a535)
& c4_2(a534,a535)
& c8_2(a534,a535)
& ~ c2_1(a534) )
| ! [X79] :
( ndr1_0
=> ( ! [X80] :
( ndr1_1(X79)
=> ( ~ c1_2(X79,X80)
| ~ c3_2(X79,X80)
| ~ c6_2(X79,X80) ) )
| ! [X81] :
( ndr1_1(X79)
=> ( c1_2(X79,X81)
| c7_2(X79,X81)
| ~ c2_2(X79,X81) ) )
| c6_1(X79) ) )
| ~ c8_0 )
& ( c1_0
| ~ c2_0
| c8_0 )
& ( ( ndr1_0
& ! [X82] :
( ndr1_1(a536)
=> ( c3_2(a536,X82)
| c5_2(a536,X82)
| ~ c7_2(a536,X82) ) )
& ~ c7_1(a536)
& c5_1(a536) )
| ( ndr1_0
& ! [X83] :
( ndr1_1(a537)
=> ( ~ c3_2(a537,X83)
| ~ c7_2(a537,X83)
| ~ c2_2(a537,X83) ) )
& ~ c5_1(a537)
& c4_1(a537) )
| ( ndr1_0
& ! [X84] :
( ndr1_1(a538)
=> ( ~ c7_2(a538,X84)
| c2_2(a538,X84)
| c3_2(a538,X84) ) )
& ! [X85] :
( ndr1_1(a538)
=> ( c8_2(a538,X85)
| c7_2(a538,X85)
| ~ c1_2(a538,X85) ) )
& c1_1(a538) ) )
& ( ~ c7_0
| ! [X86] :
( ndr1_0
=> ( c1_1(X86)
| c6_1(X86)
| c5_1(X86) ) )
| ( ndr1_0
& ndr1_1(a539)
& c8_2(a539,a540)
& ~ c5_2(a539,a540)
& c3_2(a539,a540)
& c6_1(a539)
& ndr1_1(a539)
& ~ c2_2(a539,a541)
& ~ c5_2(a539,a541)
& c8_2(a539,a541) ) )
& ( ~ c5_0
| ~ c7_0
| ! [X87] :
( ndr1_0
=> ( c5_1(X87)
| ~ c2_1(X87)
| c7_1(X87) ) ) )
& ( ! [X88] :
( ndr1_0
=> ( ~ c8_1(X88)
| ~ c2_1(X88) ) )
| ( ndr1_0
& ! [X89] :
( ndr1_1(a542)
=> ( c7_2(a542,X89)
| ~ c4_2(a542,X89) ) )
& c2_1(a542)
& ndr1_1(a542)
& c8_2(a542,a543)
& ~ c4_2(a542,a543) )
| ( ndr1_0
& ! [X90] :
( ndr1_1(a544)
=> ( c1_2(a544,X90)
| c4_2(a544,X90) ) )
& ndr1_1(a544)
& ~ c7_2(a544,a545)
& ~ c4_2(a544,a545)
& ~ c3_2(a544,a545) ) )
& ( ( ndr1_0
& ~ c4_1(a546)
& ! [X91] :
( ndr1_1(a546)
=> ( c8_2(a546,X91)
| ~ c1_2(a546,X91)
| ~ c4_2(a546,X91) ) )
& ndr1_1(a546)
& ~ c2_2(a546,a547)
& c7_2(a546,a547)
& ~ c8_2(a546,a547) )
| ! [X92] :
( ndr1_0
=> ( ! [X93] :
( ndr1_1(X92)
=> ( ~ c6_2(X92,X93)
| ~ c8_2(X92,X93)
| c3_2(X92,X93) ) )
| ( ndr1_1(X92)
& c2_2(X92,a548)
& ~ c4_2(X92,a548)
& ~ c7_2(X92,a548) )
| ~ c1_1(X92) ) ) )
& ( ( ndr1_0
& ndr1_1(a549)
& c4_2(a549,a550)
& ~ c1_2(a549,a550)
& c6_2(a549,a550)
& ndr1_1(a549)
& c2_2(a549,a551)
& c8_2(a549,a551)
& c5_2(a549,a551)
& ~ c2_1(a549) )
| ~ c4_0
| ~ c8_0 )
& ( c7_0
| ( ndr1_0
& ! [X94] :
( ndr1_1(a552)
=> ( c6_2(a552,X94)
| c8_2(a552,X94)
| c2_2(a552,X94) ) )
& ~ c8_1(a552)
& c6_1(a552) )
| ! [X95] :
( ndr1_0
=> ( ~ c4_1(X95)
| ~ c5_1(X95)
| ( ndr1_1(X95)
& ~ c2_2(X95,a553)
& c7_2(X95,a553)
& ~ c3_2(X95,a553) ) ) ) )
& ( ~ c8_0
| ~ c5_0 )
& ( ~ c5_0
| ! [X96] :
( ndr1_0
=> ( ~ c5_1(X96)
| ( ndr1_1(X96)
& ~ c6_2(X96,a554)
& ~ c3_2(X96,a554) )
| ( ndr1_1(X96)
& c5_2(X96,a555)
& c1_2(X96,a555)
& ~ c4_2(X96,a555) ) ) ) )
& ( c8_0
| ! [X97] :
( ndr1_0
=> ( ! [X98] :
( ndr1_1(X97)
=> ( c2_2(X97,X98)
| c7_2(X97,X98) ) )
| c6_1(X97) ) )
| ~ c2_0 )
& ( c5_0
| ~ c2_0
| c8_0 )
& ( ! [X99] :
( ndr1_0
=> ( c7_1(X99)
| ~ c6_1(X99)
| ( ndr1_1(X99)
& ~ c4_2(X99,a556)
& c8_2(X99,a556)
& c7_2(X99,a556) ) ) )
| ~ c7_0
| c8_0 )
& ( ! [X100] :
( ndr1_0
=> ( ( ndr1_1(X100)
& ~ c6_2(X100,a557)
& ~ c2_2(X100,a557)
& c1_2(X100,a557) )
| ! [X101] :
( ndr1_1(X100)
=> ( c8_2(X100,X101)
| c2_2(X100,X101) ) )
| c7_1(X100) ) )
| ! [X102] :
( ndr1_0
=> ( ~ c6_1(X102)
| ~ c3_1(X102)
| c5_1(X102) ) )
| c5_0 )
& ( ( ndr1_0
& c1_1(a558)
& c6_1(a558) )
| ~ c7_0 )
& ( c8_0
| ~ c1_0
| c7_0 )
& ( ( ndr1_0
& c7_1(a559)
& ndr1_1(a559)
& c4_2(a559,a560)
& c7_2(a559,a560)
& ~ c6_1(a559) )
| ~ c8_0
| ! [X103] :
( ndr1_0
=> ( ~ c8_1(X103)
| ! [X104] :
( ndr1_1(X103)
=> ( c7_2(X103,X104)
| c2_2(X103,X104)
| c8_2(X103,X104) ) )
| ! [X105] :
( ndr1_1(X103)
=> ( c3_2(X103,X105)
| ~ c6_2(X103,X105)
| ~ c2_2(X103,X105) ) ) ) ) )
& ( c5_0
| ~ c1_0 )
& ( ~ c4_0
| ( ndr1_0
& ! [X106] :
( ndr1_1(a561)
=> ( c8_2(a561,X106)
| c4_2(a561,X106) ) )
& ~ c5_1(a561)
& ~ c2_1(a561) ) )
& ( ( ndr1_0
& ndr1_1(a562)
& ~ c1_2(a562,a563)
& c8_2(a562,a563)
& c2_2(a562,a563)
& ~ c7_1(a562) )
| ~ c2_0
| c6_0 )
& ( ( ndr1_0
& c7_1(a564)
& ! [X107] :
( ndr1_1(a564)
=> ( c3_2(a564,X107)
| c8_2(a564,X107)
| ~ c1_2(a564,X107) ) )
& c5_1(a564) )
| ( ndr1_0
& c6_1(a565)
& c3_1(a565)
& c2_1(a565) )
| ( ndr1_0
& ndr1_1(a566)
& ~ c8_2(a566,a567)
& c6_2(a566,a567)
& ~ c1_2(a566,a567)
& c1_1(a566)
& ! [X108] :
( ndr1_1(a566)
=> ( ~ c2_2(a566,X108)
| c5_2(a566,X108)
| ~ c1_2(a566,X108) ) ) ) )
& ( ~ c7_0
| ( ndr1_0
& ! [X109] :
( ndr1_1(a568)
=> ( c6_2(a568,X109)
| c4_2(a568,X109) ) )
& ~ c4_1(a568) )
| ( ndr1_0
& c4_1(a569)
& ! [X110] :
( ndr1_1(a569)
=> ( c6_2(a569,X110)
| c3_2(a569,X110)
| ~ c4_2(a569,X110) ) )
& c3_1(a569) ) )
& ( ( ndr1_0
& c4_1(a570)
& c5_1(a570)
& ndr1_1(a570)
& c2_2(a570,a571)
& c1_2(a570,a571)
& c3_2(a570,a571) )
| c5_0 )
& ( c1_0
| c5_0
| ! [X111] :
( ndr1_0
=> ( ! [X112] :
( ndr1_1(X111)
=> ( c2_2(X111,X112)
| c5_2(X111,X112) ) )
| ( ndr1_1(X111)
& ~ c6_2(X111,a572)
& ~ c5_2(X111,a572)
& c2_2(X111,a572) )
| ~ c4_1(X111) ) ) )
& ( ( ndr1_0
& c1_1(a573)
& c3_1(a573)
& ! [X113] :
( ndr1_1(a573)
=> ( ~ c6_2(a573,X113)
| ~ c2_2(a573,X113)
| c5_2(a573,X113) ) ) )
| ! [X114] :
( ndr1_0
=> ( c8_1(X114)
| ! [X115] :
( ndr1_1(X114)
=> ( c5_2(X114,X115)
| c4_2(X114,X115)
| ~ c7_2(X114,X115) ) )
| ! [X116] :
( ndr1_1(X114)
=> ( c2_2(X114,X116)
| ~ c3_2(X114,X116)
| c1_2(X114,X116) ) ) ) )
| c1_0 )
& ( ( ndr1_0
& ndr1_1(a574)
& ~ c6_2(a574,a575)
& ~ c1_2(a574,a575)
& c4_2(a574,a575)
& ! [X117] :
( ndr1_1(a574)
=> ( ~ c4_2(a574,X117)
| ~ c2_2(a574,X117)
| ~ c3_2(a574,X117) ) )
& ~ c3_1(a574) )
| ~ c2_0
| ! [X118] :
( ndr1_0
=> ( ~ c6_1(X118)
| c5_1(X118)
| ! [X119] :
( ndr1_1(X118)
=> ( c8_2(X118,X119)
| c7_2(X118,X119)
| c6_2(X118,X119) ) ) ) ) )
& ( ! [X120] :
( ndr1_0
=> ( ! [X121] :
( ndr1_1(X120)
=> ( c3_2(X120,X121)
| ~ c2_2(X120,X121)
| c8_2(X120,X121) ) )
| ! [X122] :
( ndr1_1(X120)
=> ( ~ c1_2(X120,X122)
| c5_2(X120,X122)
| c3_2(X120,X122) ) )
| ! [X123] :
( ndr1_1(X120)
=> ( c6_2(X120,X123)
| c2_2(X120,X123) ) ) ) )
| ! [X124] :
( ndr1_0
=> ( c7_1(X124)
| ~ c1_1(X124)
| ( ndr1_1(X124)
& c4_2(X124,a576)
& ~ c8_2(X124,a576) ) ) )
| ( ndr1_0
& ~ c7_1(a577)
& ndr1_1(a577)
& c8_2(a577,a578)
& c1_2(a577,a578)
& c6_2(a577,a578)
& ndr1_1(a577)
& ~ c6_2(a577,a579)
& ~ c8_2(a577,a579) ) )
& ( ! [X125] :
( ndr1_0
=> ( ( ndr1_1(X125)
& c7_2(X125,a580)
& ~ c5_2(X125,a580)
& ~ c2_2(X125,a580) )
| c4_1(X125)
| c8_1(X125) ) )
| c8_0
| ! [X126] :
( ndr1_0
=> ( c5_1(X126)
| c6_1(X126)
| ! [X127] :
( ndr1_1(X126)
=> ( c4_2(X126,X127)
| c7_2(X126,X127)
| c8_2(X126,X127) ) ) ) ) )
& ( ~ c2_0
| ( ndr1_0
& ! [X128] :
( ndr1_1(a581)
=> ( c7_2(a581,X128)
| c8_2(a581,X128)
| c2_2(a581,X128) ) )
& ~ c6_1(a581)
& c8_1(a581) ) )
& ( ! [X129] :
( ndr1_0
=> ( c3_1(X129)
| c1_1(X129)
| ( ndr1_1(X129)
& ~ c5_2(X129,a582)
& c3_2(X129,a582)
& c2_2(X129,a582) ) ) )
| ~ c4_0
| ~ c8_0 )
& ( ~ c7_0
| ~ c4_0 )
& ( ! [X130] :
( ndr1_0
=> ( c4_1(X130)
| ! [X131] :
( ndr1_1(X130)
=> ( c7_2(X130,X131)
| ~ c2_2(X130,X131)
| ~ c6_2(X130,X131) ) )
| c7_1(X130) ) )
| ! [X132] :
( ndr1_0
=> ( ( ndr1_1(X132)
& c7_2(X132,a583)
& ~ c4_2(X132,a583)
& c2_2(X132,a583) )
| c5_1(X132)
| c7_1(X132) ) ) )
& ( ( ndr1_0
& ~ c6_1(a584)
& ~ c2_1(a584)
& c3_1(a584) )
| c8_0 )
& ( ! [X133] :
( ndr1_0
=> ( ~ c5_1(X133)
| ~ c6_1(X133) ) )
| ( ndr1_0
& ! [X134] :
( ndr1_1(a585)
=> ( ~ c4_2(a585,X134)
| c3_2(a585,X134) ) )
& ~ c8_1(a585)
& ndr1_1(a585)
& c2_2(a585,a586)
& ~ c3_2(a585,a586)
& c1_2(a585,a586) )
| ~ c5_0 )
& ( ( ndr1_0
& c3_1(a587)
& ! [X135] :
( ndr1_1(a587)
=> ( ~ c5_2(a587,X135)
| ~ c8_2(a587,X135)
| c1_2(a587,X135) ) ) )
| ! [X136] :
( ndr1_0
=> ( ! [X137] :
( ndr1_1(X136)
=> ( ~ c2_2(X136,X137)
| c5_2(X136,X137) ) )
| ( ndr1_1(X136)
& ~ c1_2(X136,a588)
& c5_2(X136,a588) )
| ( ndr1_1(X136)
& c8_2(X136,a589)
& ~ c7_2(X136,a589)
& ~ c5_2(X136,a589) ) ) )
| ! [X138] :
( ndr1_0
=> ( ! [X139] :
( ndr1_1(X138)
=> ( ~ c4_2(X138,X139)
| c8_2(X138,X139)
| ~ c2_2(X138,X139) ) )
| c6_1(X138)
| ! [X140] :
( ndr1_1(X138)
=> ( c2_2(X138,X140)
| c6_2(X138,X140)
| ~ c8_2(X138,X140) ) ) ) ) )
& ( ~ c5_0
| ~ c4_0
| ~ c6_0 )
& ( c5_0
| c6_0
| ( ndr1_0
& ~ c3_1(a590)
& c7_1(a590)
& ndr1_1(a590)
& ~ c3_2(a590,a591)
& ~ c2_2(a590,a591) ) )
& ( ( ndr1_0
& ! [X141] :
( ndr1_1(a592)
=> ( c5_2(a592,X141)
| c6_2(a592,X141)
| ~ c1_2(a592,X141) ) )
& ~ c6_1(a592)
& ! [X142] :
( ndr1_1(a592)
=> ( c3_2(a592,X142)
| ~ c5_2(a592,X142) ) ) )
| ! [X143] :
( ndr1_0
=> ( ! [X144] :
( ndr1_1(X143)
=> ( ~ c7_2(X143,X144)
| c6_2(X143,X144)
| c2_2(X143,X144) ) )
| ~ c6_1(X143)
| ( ndr1_1(X143)
& c8_2(X143,a593)
& ~ c7_2(X143,a593)
& ~ c4_2(X143,a593) ) ) )
| c7_0 )
& ( ( ndr1_0
& ~ c1_1(a594)
& ~ c6_1(a594)
& ndr1_1(a594)
& c1_2(a594,a595)
& ~ c6_2(a594,a595)
& ~ c4_2(a594,a595) )
| ~ c1_0 )
& ( ~ c7_0
| c2_0
| ! [X145] :
( ndr1_0
=> ( ! [X146] :
( ndr1_1(X145)
=> ( c1_2(X145,X146)
| c7_2(X145,X146)
| c4_2(X145,X146) ) )
| c3_1(X145)
| c6_1(X145) ) ) )
& ( ( ndr1_0
& ~ c6_1(a596)
& c7_1(a596)
& ! [X147] :
( ndr1_1(a596)
=> ( ~ c4_2(a596,X147)
| ~ c1_2(a596,X147) ) ) )
| ( ndr1_0
& ndr1_1(a597)
& c4_2(a597,a598)
& c3_2(a597,a598)
& c7_2(a597,a598)
& ~ c1_1(a597)
& ndr1_1(a597)
& c3_2(a597,a599)
& c5_2(a597,a599)
& ~ c1_2(a597,a599) )
| c6_0 )
& ( c1_0
| c6_0 )
& ( ( ndr1_0
& c3_1(a600)
& ! [X148] :
( ndr1_1(a600)
=> ( ~ c1_2(a600,X148)
| c7_2(a600,X148) ) ) )
| ( ndr1_0
& c7_1(a601)
& ~ c1_1(a601)
& c5_1(a601) ) )
& ( ~ c1_0
| c5_0
| ~ c8_0 )
& ( ! [X149] :
( ndr1_0
=> ( ! [X150] :
( ndr1_1(X149)
=> ( ~ c8_2(X149,X150)
| c1_2(X149,X150)
| c3_2(X149,X150) ) )
| c8_1(X149)
| c4_1(X149) ) )
| c1_0
| ! [X151] :
( ndr1_0
=> ( c3_1(X151)
| ~ c1_1(X151)
| c8_1(X151) ) ) )
& ( ! [X152] :
( ndr1_0
=> ( ~ c3_1(X152)
| c1_1(X152)
| c6_1(X152) ) )
| ~ c1_0
| c5_0 )
& ( c2_0
| ~ c7_0
| ~ c8_0 )
& ( c1_0
| ! [X153] :
( ndr1_0
=> ( c2_1(X153)
| ( ndr1_1(X153)
& c3_2(X153,a602)
& c4_2(X153,a602)
& ~ c7_2(X153,a602) )
| c7_1(X153) ) )
| ~ c7_0 )
& ( ( ndr1_0
& c5_1(a603)
& ! [X154] :
( ndr1_1(a603)
=> ( ~ c3_2(a603,X154)
| c7_2(a603,X154)
| ~ c5_2(a603,X154) ) )
& ~ c4_1(a603) )
| ~ c5_0
| ~ c8_0 )
& ( c8_0
| ~ c7_0
| c5_0 ) ) ).
%--------------------------------------------------------------------------