TPTP Problem File: SYN546+1.p
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- Solve Problem
%--------------------------------------------------------------------------
% File : SYN546+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=075
% 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-8-1-120-3-2-075.dfg [Wei97]
% Status : CounterSatisfiable
% Rating : 0.00 v5.5.0, 0.20 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, 0.83 v2.7.0, 1.00 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 : 1612 ( 432 ~; 469 |; 549 &)
% ( 0 <=>; 162 =>; 0 <=; 0 <~>)
% Maximal formula depth : 113 ( 113 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 26 ( 26 usr; 9 prp; 0-2 aty)
% Number of functors : 158 ( 158 usr; 158 con; 0-0 aty)
% Number of variables : 162 ( 162 !; 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,
~ ( ( ~ c2_0
| ~ c3_0
| ( ndr1_0
& c8_1(a298)
& ~ c1_1(a298)
& ~ c3_1(a298) ) )
& ( c7_0
| c3_0 )
& ( c3_0
| ( ndr1_0
& ~ c3_1(a299)
& ! [U] :
( ndr1_1(a299)
=> ( ~ c4_2(a299,U)
| ~ c1_2(a299,U)
| ~ c3_2(a299,U) ) )
& ~ c7_1(a299) )
| c8_0 )
& ( ( ndr1_0
& ! [V] :
( ndr1_1(a300)
=> ( c1_2(a300,V)
| c6_2(a300,V)
| ~ c2_2(a300,V) ) )
& ndr1_1(a300)
& c5_2(a300,a301)
& ~ c1_2(a300,a301)
& ~ c2_2(a300,a301)
& c2_1(a300) )
| ( ndr1_0
& ndr1_1(a302)
& c6_2(a302,a303)
& ~ c1_2(a302,a303)
& ~ c5_2(a302,a303)
& c2_1(a302) ) )
& ( ! [W] :
( ndr1_0
=> ( ! [X] :
( ndr1_1(W)
=> ( ~ c8_2(W,X)
| c3_2(W,X)
| c2_2(W,X) ) )
| ~ c5_1(W)
| ! [Y] :
( ndr1_1(W)
=> ( c5_2(W,Y)
| ~ c8_2(W,Y) ) ) ) )
| c6_0
| ( ndr1_0
& c1_1(a304)
& c3_1(a304)
& ~ c5_1(a304) ) )
& ( ~ c5_0
| ~ c3_0
| ~ c1_0 )
& ( ~ c3_0
| ( ndr1_0
& ! [Z] :
( ndr1_1(a305)
=> ( ~ c6_2(a305,Z)
| c4_2(a305,Z)
| ~ c8_2(a305,Z) ) )
& ~ c5_1(a305)
& ndr1_1(a305)
& ~ c3_2(a305,a306)
& c2_2(a305,a306)
& c8_2(a305,a306) )
| c1_0 )
& ( c4_0
| ( ndr1_0
& c1_1(a307)
& ndr1_1(a307)
& ~ c6_2(a307,a308)
& c3_2(a307,a308)
& ! [X1] :
( ndr1_1(a307)
=> ( c5_2(a307,X1)
| c7_2(a307,X1)
| c1_2(a307,X1) ) ) )
| c8_0 )
& ( c6_0
| c7_0 )
& ( ( ndr1_0
& ~ c7_1(a309)
& ! [X2] :
( ndr1_1(a309)
=> ( c3_2(a309,X2)
| ~ c2_2(a309,X2)
| c6_2(a309,X2) ) )
& c3_1(a309) )
| c5_0 )
& ( ! [X3] :
( ndr1_0
=> ( ~ c1_1(X3)
| c4_1(X3)
| c8_1(X3) ) )
| ! [X4] :
( ndr1_0
=> ( ~ c1_1(X4)
| ~ c2_1(X4)
| ~ c8_1(X4) ) )
| c8_0 )
& ( ! [X5] :
( ndr1_0
=> ( c4_1(X5)
| ! [X6] :
( ndr1_1(X5)
=> ( ~ c1_2(X5,X6)
| c7_2(X5,X6)
| ~ c5_2(X5,X6) ) )
| ( ndr1_1(X5)
& c7_2(X5,a310)
& c6_2(X5,a310)
& ~ c3_2(X5,a310) ) ) )
| ~ c6_0
| c7_0 )
& ( ~ c5_0
| ~ c7_0
| ~ c6_0 )
& ( c7_0
| ~ c5_0 )
& ( ( ndr1_0
& ! [X7] :
( ndr1_1(a311)
=> ( ~ c7_2(a311,X7)
| ~ c8_2(a311,X7) ) )
& ndr1_1(a311)
& c1_2(a311,a312)
& ~ c4_2(a311,a312)
& ~ c5_2(a311,a312)
& ndr1_1(a311)
& ~ c7_2(a311,a313)
& ~ c4_2(a311,a313)
& ~ c5_2(a311,a313) )
| c5_0
| ~ c2_0 )
& ( ~ c4_0
| ( ndr1_0
& c6_1(a314)
& ~ c1_1(a314)
& ~ c8_1(a314) )
| c8_0 )
& ( c3_0
| ! [X8] :
( ndr1_0
=> ( c2_1(X8)
| c7_1(X8)
| ! [X9] :
( ndr1_1(X8)
=> ( ~ c6_2(X8,X9)
| ~ c2_2(X8,X9)
| c1_2(X8,X9) ) ) ) )
| ~ c2_0 )
& ( ( ndr1_0
& ~ c4_1(a315)
& ! [X10] :
( ndr1_1(a315)
=> ( ~ c2_2(a315,X10)
| ~ c5_2(a315,X10)
| ~ c1_2(a315,X10) ) )
& ~ c2_1(a315) )
| ~ c6_0
| ( ndr1_0
& c4_1(a316) ) )
& ( ~ c8_0
| ( ndr1_0
& ! [X11] :
( ndr1_1(a317)
=> ( c3_2(a317,X11)
| c6_2(a317,X11)
| c7_2(a317,X11) ) )
& c8_1(a317)
& ! [X12] :
( ndr1_1(a317)
=> ( c4_2(a317,X12)
| c8_2(a317,X12)
| c5_2(a317,X12) ) ) )
| ! [X13] :
( ndr1_0
=> ( ! [X14] :
( ndr1_1(X13)
=> ( c3_2(X13,X14)
| ~ c1_2(X13,X14)
| ~ c8_2(X13,X14) ) )
| ( ndr1_1(X13)
& c7_2(X13,a318)
& ~ c2_2(X13,a318)
& ~ c1_2(X13,a318) ) ) ) )
& ( c2_0
| ~ c4_0
| c3_0 )
& ( ~ c4_0
| ~ c6_0
| ! [X15] :
( ndr1_0
=> ( ! [X16] :
( ndr1_1(X15)
=> ( c8_2(X15,X16)
| c6_2(X15,X16) ) )
| ( ndr1_1(X15)
& c5_2(X15,a319)
& ~ c7_2(X15,a319)
& c4_2(X15,a319) )
| ! [X17] :
( ndr1_1(X15)
=> ( c1_2(X15,X17)
| ~ c2_2(X15,X17)
| c5_2(X15,X17) ) ) ) ) )
& ( ! [X18] :
( ndr1_0
=> ( ( ndr1_1(X18)
& c1_2(X18,a320)
& c3_2(X18,a320)
& c4_2(X18,a320) )
| ~ c6_1(X18)
| ! [X19] :
( ndr1_1(X18)
=> ( c4_2(X18,X19)
| ~ c7_2(X18,X19) ) ) ) )
| ! [X20] :
( ndr1_0
=> ( ~ c6_1(X20)
| c4_1(X20)
| c1_1(X20) ) )
| ( ndr1_0
& ! [X21] :
( ndr1_1(a321)
=> ( ~ c2_2(a321,X21)
| ~ c4_2(a321,X21)
| c6_2(a321,X21) ) )
& ndr1_1(a321)
& ~ c8_2(a321,a322)
& ~ c6_2(a321,a322)
& c5_2(a321,a322) ) )
& ( ( ndr1_0
& c1_1(a323)
& ndr1_1(a323)
& c4_2(a323,a324)
& ~ c6_2(a323,a324)
& ~ c5_2(a323,a324) )
| ( ndr1_0
& c4_1(a325)
& ! [X22] :
( ndr1_1(a325)
=> ( ~ c7_2(a325,X22)
| ~ c5_2(a325,X22)
| ~ c1_2(a325,X22) ) )
& c6_1(a325) )
| c2_0 )
& ( ! [X23] :
( ndr1_0
=> ( ! [X24] :
( ndr1_1(X23)
=> ( ~ c1_2(X23,X24)
| ~ c6_2(X23,X24) ) )
| ! [X25] :
( ndr1_1(X23)
=> ( c5_2(X23,X25)
| c7_2(X23,X25)
| ~ c8_2(X23,X25) ) )
| ~ c5_1(X23) ) )
| ( ndr1_0
& c8_1(a326)
& ndr1_1(a326)
& ~ c1_2(a326,a327)
& c8_2(a326,a327)
& ~ c2_2(a326,a327)
& ! [X26] :
( ndr1_1(a326)
=> ( ~ c8_2(a326,X26)
| c7_2(a326,X26) ) ) ) )
& ( ( ndr1_0
& ndr1_1(a328)
& c5_2(a328,a329)
& c2_2(a328,a329)
& ~ c4_2(a328,a329)
& c6_1(a328)
& ~ c4_1(a328) )
| ~ c2_0
| ( ndr1_0
& ndr1_1(a330)
& ~ c5_2(a330,a331)
& c6_2(a330,a331)
& ~ c1_2(a330,a331)
& ndr1_1(a330)
& ~ c8_2(a330,a332)
& ~ c2_2(a330,a332)
& ~ c5_2(a330,a332)
& ~ c6_1(a330) ) )
& ( ~ c3_0
| ! [X27] :
( ndr1_0
=> ( c4_1(X27)
| ( ndr1_1(X27)
& ~ c7_2(X27,a333)
& c2_2(X27,a333)
& c6_2(X27,a333) )
| ! [X28] :
( ndr1_1(X27)
=> ( ~ c1_2(X27,X28)
| ~ c5_2(X27,X28)
| c8_2(X27,X28) ) ) ) )
| ( ndr1_0
& ~ c6_1(a334)
& ~ c1_1(a334)
& ndr1_1(a334)
& ~ c3_2(a334,a335)
& ~ c4_2(a334,a335)
& c5_2(a334,a335) ) )
& ( ~ c5_0
| c6_0
| c7_0 )
& ( ( ndr1_0
& c5_1(a336)
& c3_1(a336) )
| ~ c1_0
| ~ c8_0 )
& ( ~ c8_0
| ~ c6_0
| c3_0 )
& ( ~ c2_0
| ~ c5_0
| c7_0 )
& ( ! [X29] :
( ndr1_0
=> ( c3_1(X29)
| ~ c2_1(X29)
| ( ndr1_1(X29)
& c8_2(X29,a337)
& c5_2(X29,a337)
& ~ c7_2(X29,a337) ) ) )
| ( ndr1_0
& c1_1(a338) )
| c4_0 )
& ( ! [X30] :
( ndr1_0
=> ( ! [X31] :
( ndr1_1(X30)
=> ( c1_2(X30,X31)
| c8_2(X30,X31)
| ~ c4_2(X30,X31) ) )
| ~ c2_1(X30) ) )
| ~ c6_0
| ~ c5_0 )
& ( ( ndr1_0
& ~ c2_1(a339)
& ! [X32] :
( ndr1_1(a339)
=> ( c8_2(a339,X32)
| c2_2(a339,X32) ) )
& ! [X33] :
( ndr1_1(a339)
=> ( c8_2(a339,X33)
| ~ c7_2(a339,X33) ) ) )
| c3_0
| ~ c2_0 )
& ( ! [X34] :
( ndr1_0
=> ( ( ndr1_1(X34)
& ~ c8_2(X34,a340)
& c6_2(X34,a340)
& ~ c3_2(X34,a340) )
| ( ndr1_1(X34)
& c1_2(X34,a341)
& c7_2(X34,a341) )
| ~ c2_1(X34) ) )
| c2_0 )
& ( c5_0
| ! [X35] :
( ndr1_0
=> ( ! [X36] :
( ndr1_1(X35)
=> ( c7_2(X35,X36)
| ~ c5_2(X35,X36) ) )
| c5_1(X35)
| c8_1(X35) ) )
| ! [X37] :
( ndr1_0
=> ( ! [X38] :
( ndr1_1(X37)
=> ( c8_2(X37,X38)
| c3_2(X37,X38) ) )
| ~ c2_1(X37)
| ! [X39] :
( ndr1_1(X37)
=> ( ~ c6_2(X37,X39)
| c8_2(X37,X39)
| c7_2(X37,X39) ) ) ) ) )
& ( ! [X40] :
( ndr1_0
=> ( c3_1(X40)
| c1_1(X40)
| ~ c2_1(X40) ) )
| ( ndr1_0
& ! [X41] :
( ndr1_1(a342)
=> ( c4_2(a342,X41)
| c5_2(a342,X41) ) )
& ! [X42] :
( ndr1_1(a342)
=> ( c5_2(a342,X42)
| ~ c8_2(a342,X42)
| ~ c4_2(a342,X42) ) )
& ndr1_1(a342)
& c7_2(a342,a343)
& c8_2(a342,a343)
& ~ c4_2(a342,a343) )
| ! [X43] :
( ndr1_0
=> ( ( ndr1_1(X43)
& c4_2(X43,a344)
& c7_2(X43,a344)
& ~ c6_2(X43,a344) )
| ! [X44] :
( ndr1_1(X43)
=> ( ~ c6_2(X43,X44)
| c4_2(X43,X44) ) )
| c6_1(X43) ) ) )
& ( c6_0
| ~ c4_0
| ~ c3_0 )
& ( ~ c6_0
| ( ndr1_0
& ndr1_1(a345)
& c5_2(a345,a346)
& ~ c1_2(a345,a346)
& c2_2(a345,a346)
& c2_1(a345)
& c6_1(a345) )
| ( ndr1_0
& c4_1(a347)
& ndr1_1(a347)
& c2_2(a347,a348)
& ~ c4_2(a347,a348)
& c3_2(a347,a348)
& c8_1(a347) ) )
& ( ( ndr1_0
& ~ c3_1(a349)
& ~ c5_1(a349)
& ~ c8_1(a349) )
| c1_0
| ~ c5_0 )
& ( ( ndr1_0
& ! [X45] :
( ndr1_1(a350)
=> ( c1_2(a350,X45)
| c8_2(a350,X45)
| c4_2(a350,X45) ) )
& ! [X46] :
( ndr1_1(a350)
=> ( ~ c3_2(a350,X46)
| c4_2(a350,X46)
| ~ c5_2(a350,X46) ) )
& ! [X47] :
( ndr1_1(a350)
=> ( c2_2(a350,X47)
| ~ c6_2(a350,X47)
| c4_2(a350,X47) ) ) )
| ( ndr1_0
& ! [X48] :
( ndr1_1(a351)
=> ( c1_2(a351,X48)
| ~ c6_2(a351,X48)
| ~ c7_2(a351,X48) ) )
& ! [X49] :
( ndr1_1(a351)
=> ( c2_2(a351,X49)
| c4_2(a351,X49)
| c5_2(a351,X49) ) ) )
| ( ndr1_0
& ndr1_1(a352)
& c6_2(a352,a353)
& c4_2(a352,a353)
& ~ c8_2(a352,a353)
& ! [X50] :
( ndr1_1(a352)
=> ( ~ c5_2(a352,X50)
| ~ c8_2(a352,X50)
| c1_2(a352,X50) ) )
& c2_1(a352) ) )
& ( ( ndr1_0
& c5_1(a354)
& ! [X51] :
( ndr1_1(a354)
=> ( ~ c2_2(a354,X51)
| c8_2(a354,X51) ) )
& ~ c2_1(a354) )
| ( ndr1_0
& c6_1(a355)
& ndr1_1(a355)
& c1_2(a355,a356)
& ~ c6_2(a355,a356)
& c8_2(a355,a356)
& ~ c2_1(a355) )
| ~ c7_0 )
& ( c1_0
| c4_0
| c8_0 )
& ( ~ c1_0
| c8_0 )
& ( c3_0
| ~ c5_0
| ! [X52] :
( ndr1_0
=> ( ! [X53] :
( ndr1_1(X52)
=> ( ~ c6_2(X52,X53)
| c2_2(X52,X53)
| c1_2(X52,X53) ) )
| ~ c4_1(X52)
| ~ c6_1(X52) ) ) )
& ( ( ndr1_0
& ndr1_1(a357)
& ~ c3_2(a357,a358)
& c7_2(a357,a358)
& ~ c6_2(a357,a358)
& ! [X54] :
( ndr1_1(a357)
=> ( c1_2(a357,X54)
| ~ c4_2(a357,X54)
| ~ c5_2(a357,X54) ) )
& ! [X55] :
( ndr1_1(a357)
=> ( c5_2(a357,X55)
| ~ c7_2(a357,X55)
| ~ c8_2(a357,X55) ) ) )
| ! [X56] :
( ndr1_0
=> ( ( ndr1_1(X56)
& ~ c6_2(X56,a359)
& c8_2(X56,a359)
& ~ c4_2(X56,a359) )
| ! [X57] :
( ndr1_1(X56)
=> ( c7_2(X56,X57)
| c4_2(X56,X57)
| ~ c1_2(X56,X57) ) )
| ( ndr1_1(X56)
& ~ c5_2(X56,a360)
& ~ c4_2(X56,a360)
& ~ c8_2(X56,a360) ) ) )
| ! [X58] :
( ndr1_0
=> ( ( ndr1_1(X58)
& c7_2(X58,a361)
& ~ c5_2(X58,a361)
& ~ c4_2(X58,a361) )
| ~ c6_1(X58) ) ) )
& ( ! [X59] :
( ndr1_0
=> ( ~ c7_1(X59)
| ! [X60] :
( ndr1_1(X59)
=> ( c4_2(X59,X60)
| ~ c7_2(X59,X60)
| c2_2(X59,X60) ) )
| ! [X61] :
( ndr1_1(X59)
=> ( c7_2(X59,X61)
| ~ c3_2(X59,X61)
| c5_2(X59,X61) ) ) ) )
| ( ndr1_0
& c5_1(a362)
& ndr1_1(a362)
& ~ c6_2(a362,a363)
& c2_2(a362,a363)
& ~ c1_2(a362,a363)
& ! [X62] :
( ndr1_1(a362)
=> ( c6_2(a362,X62)
| ~ c2_2(a362,X62)
| c5_2(a362,X62) ) ) )
| ! [X63] :
( ndr1_0
=> ( ! [X64] :
( ndr1_1(X63)
=> ( ~ c3_2(X63,X64)
| ~ c8_2(X63,X64) ) )
| c8_1(X63)
| ! [X65] :
( ndr1_1(X63)
=> ( ~ c7_2(X63,X65)
| ~ c2_2(X63,X65)
| ~ c8_2(X63,X65) ) ) ) ) )
& ( ! [X66] :
( ndr1_0
=> ( c4_1(X66)
| ~ c1_1(X66)
| ~ c2_1(X66) ) )
| ! [X67] :
( ndr1_0
=> ( ! [X68] :
( ndr1_1(X67)
=> ( c5_2(X67,X68)
| ~ c8_2(X67,X68)
| ~ c6_2(X67,X68) ) )
| ( ndr1_1(X67)
& c2_2(X67,a364)
& ~ c4_2(X67,a364)
& c8_2(X67,a364) )
| c8_1(X67) ) )
| ! [X69] :
( ndr1_0
=> ( c1_1(X69)
| ! [X70] :
( ndr1_1(X69)
=> ( c5_2(X69,X70)
| c8_2(X69,X70)
| ~ c7_2(X69,X70) ) )
| c7_1(X69) ) ) )
& ( ( ndr1_0
& ! [X71] :
( ndr1_1(a365)
=> ( c4_2(a365,X71)
| c5_2(a365,X71) ) )
& ~ c7_1(a365)
& c1_1(a365) )
| ( ndr1_0
& ! [X72] :
( ndr1_1(a366)
=> ( c1_2(a366,X72)
| c2_2(a366,X72)
| ~ c4_2(a366,X72) ) )
& ! [X73] :
( ndr1_1(a366)
=> ( c7_2(a366,X73)
| c1_2(a366,X73) ) )
& ! [X74] :
( ndr1_1(a366)
=> ( c8_2(a366,X74)
| c4_2(a366,X74) ) ) )
| ! [X75] :
( ndr1_0
=> ( c3_1(X75)
| ( ndr1_1(X75)
& ~ c8_2(X75,a367)
& c4_2(X75,a367)
& c5_2(X75,a367) )
| ! [X76] :
( ndr1_1(X75)
=> ( ~ c1_2(X75,X76)
| ~ c6_2(X75,X76)
| c5_2(X75,X76) ) ) ) ) )
& ( ~ c2_0
| ! [X77] :
( ndr1_0
=> ( c6_1(X77)
| ( ndr1_1(X77)
& ~ c8_2(X77,a368)
& c4_2(X77,a368) ) ) )
| ( ndr1_0
& c2_1(a369)
& ndr1_1(a369)
& ~ c4_2(a369,a370)
& ~ c5_2(a369,a370)
& ~ c8_2(a369,a370)
& ! [X78] :
( ndr1_1(a369)
=> ( c3_2(a369,X78)
| c1_2(a369,X78)
| c4_2(a369,X78) ) ) ) )
& ( ( ndr1_0
& c3_1(a371)
& ! [X79] :
( ndr1_1(a371)
=> ( c4_2(a371,X79)
| ~ c6_2(a371,X79)
| ~ c5_2(a371,X79) ) ) )
| ~ c6_0 )
& ( c2_0
| ! [X80] :
( ndr1_0
=> ( ~ c1_1(X80)
| ! [X81] :
( ndr1_1(X80)
=> ( c8_2(X80,X81)
| c3_2(X80,X81)
| ~ c1_2(X80,X81) ) )
| ( ndr1_1(X80)
& c4_2(X80,a372)
& ~ c8_2(X80,a372)
& ~ c5_2(X80,a372) ) ) )
| ( ndr1_0
& c8_1(a373)
& c3_1(a373)
& c5_1(a373) ) )
& ( ( ndr1_0
& ! [X82] :
( ndr1_1(a374)
=> ( ~ c5_2(a374,X82)
| c8_2(a374,X82)
| ~ c1_2(a374,X82) ) )
& ! [X83] :
( ndr1_1(a374)
=> ( ~ c5_2(a374,X83)
| c2_2(a374,X83)
| c4_2(a374,X83) ) )
& ndr1_1(a374)
& ~ c7_2(a374,a375)
& ~ c6_2(a374,a375)
& c5_2(a374,a375) )
| ~ c5_0
| ~ c3_0 )
& ( ~ c3_0
| ~ c4_0
| ( ndr1_0
& ! [X84] :
( ndr1_1(a376)
=> ( ~ c8_2(a376,X84)
| ~ c5_2(a376,X84)
| c1_2(a376,X84) ) )
& ndr1_1(a376)
& ~ c5_2(a376,a377)
& c3_2(a376,a377)
& ~ c6_2(a376,a377)
& ! [X85] :
( ndr1_1(a376)
=> ( ~ c1_2(a376,X85)
| c4_2(a376,X85)
| c3_2(a376,X85) ) ) ) )
& ( ! [X86] :
( ndr1_0
=> ( ~ c2_1(X86)
| ( ndr1_1(X86)
& c6_2(X86,a378)
& ~ c2_2(X86,a378)
& ~ c5_2(X86,a378) )
| c3_1(X86) ) )
| ( ndr1_0
& ! [X87] :
( ndr1_1(a379)
=> ( c3_2(a379,X87)
| c5_2(a379,X87)
| c4_2(a379,X87) ) )
& c3_1(a379)
& ~ c1_1(a379) )
| c5_0 )
& ( ~ c6_0
| ( ndr1_0
& ndr1_1(a380)
& c2_2(a380,a381)
& ~ c8_2(a380,a381)
& ~ c1_2(a380,a381)
& ndr1_1(a380)
& ~ c6_2(a380,a382)
& ~ c1_2(a380,a382)
& c3_2(a380,a382)
& ndr1_1(a380)
& c6_2(a380,a383)
& ~ c8_2(a380,a383)
& c1_2(a380,a383) ) )
& ( c3_0
| ( ndr1_0
& c6_1(a384)
& ~ c8_1(a384)
& ! [X88] :
( ndr1_1(a384)
=> ( ~ c3_2(a384,X88)
| ~ c2_2(a384,X88)
| ~ c7_2(a384,X88) ) ) ) )
& ( ~ c3_0
| c5_0
| ( ndr1_0
& c5_1(a385)
& c2_1(a385)
& ndr1_1(a385)
& ~ c8_2(a385,a386)
& ~ c3_2(a385,a386)
& ~ c6_2(a385,a386) ) )
& ( c7_0
| ~ c5_0
| c1_0 )
& ( ( ndr1_0
& ndr1_1(a387)
& c7_2(a387,a388)
& c3_2(a387,a388)
& ~ c8_2(a387,a388)
& c6_1(a387)
& c1_1(a387) )
| ! [X89] :
( ndr1_0
=> ( ( ndr1_1(X89)
& c2_2(X89,a389)
& c7_2(X89,a389)
& ~ c6_2(X89,a389) )
| ( ndr1_1(X89)
& ~ c7_2(X89,a390)
& c3_2(X89,a390)
& ~ c8_2(X89,a390) )
| ~ c2_1(X89) ) ) )
& ( c7_0
| c3_0
| ! [X90] :
( ndr1_0
=> ( ! [X91] :
( ndr1_1(X90)
=> ( c2_2(X90,X91)
| c4_2(X90,X91)
| ~ c7_2(X90,X91) ) )
| ~ c4_1(X90)
| ~ c8_1(X90) ) ) )
& ( ! [X92] :
( ndr1_0
=> ( ~ c5_1(X92)
| ~ c6_1(X92)
| ( ndr1_1(X92)
& c7_2(X92,a391)
& c8_2(X92,a391)
& ~ c4_2(X92,a391) ) ) )
| c1_0
| ! [X93] :
( ndr1_0
=> ( ! [X94] :
( ndr1_1(X93)
=> ( ~ c4_2(X93,X94)
| c8_2(X93,X94) ) )
| ~ c3_1(X93)
| ( ndr1_1(X93)
& c2_2(X93,a392)
& ~ c4_2(X93,a392) ) ) ) )
& ( ! [X95] :
( ndr1_0
=> ( c2_1(X95)
| ! [X96] :
( ndr1_1(X95)
=> ( ~ c4_2(X95,X96)
| ~ c5_2(X95,X96)
| ~ c7_2(X95,X96) ) )
| ~ c1_1(X95) ) )
| c6_0
| ( ndr1_0
& ! [X97] :
( ndr1_1(a393)
=> ( ~ c8_2(a393,X97)
| ~ c3_2(a393,X97)
| c6_2(a393,X97) ) )
& ndr1_1(a393)
& c1_2(a393,a394)
& ~ c4_2(a393,a394)
& ~ c8_2(a393,a394) ) )
& ( c3_0
| c2_0
| c6_0 )
& ( ! [X98] :
( ndr1_0
=> ( ! [X99] :
( ndr1_1(X98)
=> ( c4_2(X98,X99)
| ~ c7_2(X98,X99) ) )
| ! [X100] :
( ndr1_1(X98)
=> ( c3_2(X98,X100)
| ~ c7_2(X98,X100) ) )
| ! [X101] :
( ndr1_1(X98)
=> ( c3_2(X98,X101)
| ~ c5_2(X98,X101)
| c8_2(X98,X101) ) ) ) )
| c5_0 )
& ( ( ndr1_0
& ! [X102] :
( ndr1_1(a395)
=> ( ~ c7_2(a395,X102)
| c4_2(a395,X102)
| ~ c2_2(a395,X102) ) )
& ndr1_1(a395)
& ~ c3_2(a395,a396)
& ~ c2_2(a395,a396)
& c4_2(a395,a396)
& ~ c3_1(a395) )
| c8_0
| ~ c7_0 )
& ( c8_0
| ~ c1_0 )
& ( ( ndr1_0
& ndr1_1(a397)
& c5_2(a397,a398)
& ~ c8_2(a397,a398)
& ~ c7_2(a397,a398)
& ndr1_1(a397)
& ~ c7_2(a397,a399)
& c2_2(a397,a399)
& c1_2(a397,a399)
& ~ c3_1(a397) )
| ( ndr1_0
& c7_1(a400)
& ! [X103] :
( ndr1_1(a400)
=> ( c5_2(a400,X103)
| ~ c1_2(a400,X103) ) )
& c5_1(a400) )
| c5_0 )
& ( ~ c3_0
| ~ c7_0
| ! [X104] :
( ndr1_0
=> ( ( ndr1_1(X104)
& ~ c2_2(X104,a401)
& ~ c7_2(X104,a401)
& ~ c6_2(X104,a401) )
| ~ c1_1(X104)
| ! [X105] :
( ndr1_1(X104)
=> ( ~ c2_2(X104,X105)
| ~ c6_2(X104,X105) ) ) ) ) )
& ( c4_0
| ! [X106] :
( ndr1_0
=> ( ! [X107] :
( ndr1_1(X106)
=> ( ~ c2_2(X106,X107)
| ~ c6_2(X106,X107)
| c7_2(X106,X107) ) )
| c6_1(X106)
| c8_1(X106) ) )
| c3_0 )
& ( c7_0
| ( ndr1_0
& ndr1_1(a402)
& ~ c4_2(a402,a403)
& c6_2(a402,a403)
& c3_2(a402,a403)
& ! [X108] :
( ndr1_1(a402)
=> ( c8_2(a402,X108)
| ~ c6_2(a402,X108)
| c2_2(a402,X108) ) )
& ~ c7_1(a402) ) )
& ( ! [X109] :
( ndr1_0
=> ( c2_1(X109)
| c8_1(X109)
| ( ndr1_1(X109)
& c1_2(X109,a404)
& ~ c3_2(X109,a404)
& ~ c6_2(X109,a404) ) ) )
| ~ c8_0 )
& ( ~ c2_0
| ! [X110] :
( ndr1_0
=> ( c8_1(X110)
| ! [X111] :
( ndr1_1(X110)
=> ( c6_2(X110,X111)
| c2_2(X110,X111)
| c3_2(X110,X111) ) )
| c4_1(X110) ) )
| ( ndr1_0
& ndr1_1(a405)
& ~ c8_2(a405,a406)
& c7_2(a405,a406)
& c2_2(a405,a406)
& c6_1(a405)
& ndr1_1(a405)
& ~ c5_2(a405,a407)
& ~ c6_2(a405,a407) ) )
& ( c2_0
| ( ndr1_0
& ndr1_1(a408)
& ~ c7_2(a408,a409)
& c4_2(a408,a409)
& c1_2(a408,a409)
& ! [X112] :
( ndr1_1(a408)
=> ( c7_2(a408,X112)
| ~ c3_2(a408,X112) ) )
& c8_1(a408) )
| ~ c5_0 )
& ( c4_0
| ( ndr1_0
& c1_1(a410)
& ~ c6_1(a410)
& ! [X113] :
( ndr1_1(a410)
=> ( ~ c1_2(a410,X113)
| ~ c2_2(a410,X113) ) ) )
| ! [X114] :
( ndr1_0
=> ( ~ c6_1(X114)
| c8_1(X114)
| c5_1(X114) ) ) )
& ( ! [X115] :
( ndr1_0
=> ( ! [X116] :
( ndr1_1(X115)
=> ( c7_2(X115,X116)
| c3_2(X115,X116)
| c6_2(X115,X116) ) )
| ( ndr1_1(X115)
& ~ c8_2(X115,a411)
& ~ c2_2(X115,a411)
& c3_2(X115,a411) )
| ( ndr1_1(X115)
& c2_2(X115,a412)
& c6_2(X115,a412)
& c8_2(X115,a412) ) ) )
| ( ndr1_0
& ~ c8_1(a413)
& ~ c3_1(a413)
& c4_1(a413) )
| ~ c3_0 )
& ( c8_0
| ~ c7_0
| ~ c3_0 )
& ( ~ c3_0
| ~ c5_0
| ( ndr1_0
& ndr1_1(a414)
& ~ c7_2(a414,a415)
& ~ c1_2(a414,a415)
& c2_2(a414,a415)
& c5_1(a414)
& ~ c6_1(a414) ) )
& ( c4_0
| c5_0
| ! [X117] :
( ndr1_0
=> ( ( ndr1_1(X117)
& ~ c8_2(X117,a416)
& ~ c7_2(X117,a416)
& ~ c4_2(X117,a416) )
| ~ c6_1(X117) ) ) )
& ( ~ c7_0
| ~ c8_0
| ( ndr1_0
& c4_1(a417)
& ndr1_1(a417)
& ~ c3_2(a417,a418)
& ~ c6_2(a417,a418)
& c5_1(a417) ) )
& ( ! [X118] :
( ndr1_0
=> ( ~ c7_1(X118)
| ! [X119] :
( ndr1_1(X118)
=> ( c4_2(X118,X119)
| c5_2(X118,X119)
| ~ c8_2(X118,X119) ) )
| ! [X120] :
( ndr1_1(X118)
=> ( ~ c6_2(X118,X120)
| ~ c5_2(X118,X120)
| ~ c7_2(X118,X120) ) ) ) )
| ( ndr1_0
& ndr1_1(a419)
& c1_2(a419,a420)
& c7_2(a419,a420)
& ~ c2_2(a419,a420)
& ~ c1_1(a419)
& ndr1_1(a419)
& ~ c3_2(a419,a421)
& c2_2(a419,a421)
& ~ c4_2(a419,a421) ) )
& ( ( ndr1_0
& c6_1(a422)
& ~ c1_1(a422)
& c4_1(a422) )
| ~ c1_0 )
& ( c6_0
| ~ c4_0
| c1_0 )
& ( ( ndr1_0
& ndr1_1(a423)
& c8_2(a423,a424)
& c1_2(a423,a424)
& c5_2(a423,a424)
& c4_1(a423)
& ~ c8_1(a423) )
| ~ c7_0
| ( ndr1_0
& ~ c4_1(a425)
& ndr1_1(a425)
& ~ c1_2(a425,a426)
& c3_2(a425,a426)
& c4_2(a425,a426)
& c3_1(a425) ) )
& ( ~ c2_0
| ! [X121] :
( ndr1_0
=> ( ( ndr1_1(X121)
& c8_2(X121,a427)
& ~ c1_2(X121,a427) )
| ! [X122] :
( ndr1_1(X121)
=> ( ~ c1_2(X121,X122)
| c4_2(X121,X122)
| c5_2(X121,X122) ) )
| ! [X123] :
( ndr1_1(X121)
=> ( c1_2(X121,X123)
| c3_2(X121,X123)
| c5_2(X121,X123) ) ) ) )
| c6_0 )
& ( ( ndr1_0
& ! [X124] :
( ndr1_1(a428)
=> ( c7_2(a428,X124)
| ~ c8_2(a428,X124)
| ~ c5_2(a428,X124) ) )
& c3_1(a428) )
| ~ c8_0
| c2_0 )
& ( c2_0
| ~ c1_0
| ! [X125] :
( ndr1_0
=> ( ! [X126] :
( ndr1_1(X125)
=> ( c7_2(X125,X126)
| c5_2(X125,X126) ) )
| ( ndr1_1(X125)
& c5_2(X125,a429)
& ~ c6_2(X125,a429)
& c8_2(X125,a429) )
| ~ c2_1(X125) ) ) )
& ( ~ c1_0
| c5_0
| ~ c3_0 )
& ( ! [X127] :
( ndr1_0
=> ( ( ndr1_1(X127)
& ~ c3_2(X127,a430)
& c6_2(X127,a430)
& c2_2(X127,a430) )
| ~ c5_1(X127)
| c3_1(X127) ) )
| ! [X128] :
( ndr1_0
=> ( c5_1(X128)
| c7_1(X128) ) )
| ~ c6_0 )
& ( ! [X129] :
( ndr1_0
=> ( c4_1(X129)
| c7_1(X129)
| ! [X130] :
( ndr1_1(X129)
=> ( ~ c5_2(X129,X130)
| c3_2(X129,X130)
| c4_2(X129,X130) ) ) ) )
| c6_0
| ( ndr1_0
& ~ c1_1(a431)
& ! [X131] :
( ndr1_1(a431)
=> ( c1_2(a431,X131)
| c3_2(a431,X131) ) )
& ~ c2_1(a431) ) )
& ( ! [X132] :
( ndr1_0
=> ( ! [X133] :
( ndr1_1(X132)
=> ( c4_2(X132,X133)
| ~ c1_2(X132,X133)
| ~ c7_2(X132,X133) ) )
| ( ndr1_1(X132)
& c6_2(X132,a432)
& c1_2(X132,a432)
& ~ c7_2(X132,a432) )
| ( ndr1_1(X132)
& c5_2(X132,a433)
& c2_2(X132,a433)
& c1_2(X132,a433) ) ) )
| ! [X134] :
( ndr1_0
=> ( ~ c3_1(X134)
| ~ c5_1(X134)
| c2_1(X134) ) )
| c6_0 )
& ( ! [X135] :
( ndr1_0
=> ( c7_1(X135)
| ~ c5_1(X135)
| ( ndr1_1(X135)
& ~ c3_2(X135,a434)
& ~ c6_2(X135,a434)
& ~ c1_2(X135,a434) ) ) )
| ! [X136] :
( ndr1_0
=> ( c4_1(X136)
| ( ndr1_1(X136)
& ~ c5_2(X136,a435)
& ~ c3_2(X136,a435) ) ) )
| ~ c7_0 )
& ( c6_0
| ( ndr1_0
& ! [X137] :
( ndr1_1(a436)
=> ( ~ c4_2(a436,X137)
| ~ c3_2(a436,X137)
| ~ c5_2(a436,X137) ) )
& c7_1(a436)
& ! [X138] :
( ndr1_1(a436)
=> ( ~ c5_2(a436,X138)
| c2_2(a436,X138) ) ) )
| ~ c1_0 )
& ( c6_0
| ! [X139] :
( ndr1_0
=> ( ( ndr1_1(X139)
& ~ c7_2(X139,a437)
& ~ c1_2(X139,a437) )
| ! [X140] :
( ndr1_1(X139)
=> ( c1_2(X139,X140)
| ~ c8_2(X139,X140)
| ~ c5_2(X139,X140) ) )
| c6_1(X139) ) )
| c4_0 )
& ( ( ndr1_0
& ndr1_1(a438)
& ~ c6_2(a438,a439)
& c1_2(a438,a439)
& ndr1_1(a438)
& c4_2(a438,a440)
& ~ c5_2(a438,a440)
& ~ c6_2(a438,a440) )
| ( ndr1_0
& ! [X141] :
( ndr1_1(a441)
=> ( c4_2(a441,X141)
| c1_2(a441,X141) ) )
& c5_1(a441)
& ~ c8_1(a441) )
| ( ndr1_0
& ! [X142] :
( ndr1_1(a442)
=> ( c8_2(a442,X142)
| ~ c7_2(a442,X142)
| c6_2(a442,X142) ) )
& ~ c8_1(a442)
& ~ c2_1(a442) ) )
& ( ! [X143] :
( ndr1_0
=> ( ! [X144] :
( ndr1_1(X143)
=> ( ~ c7_2(X143,X144)
| ~ c3_2(X143,X144)
| ~ c2_2(X143,X144) ) )
| ! [X145] :
( ndr1_1(X143)
=> ( c1_2(X143,X145)
| c8_2(X143,X145)
| ~ c2_2(X143,X145) ) )
| c8_1(X143) ) )
| ~ c5_0
| ! [X146] :
( ndr1_0
=> ( ~ c4_1(X146)
| ( ndr1_1(X146)
& ~ c5_2(X146,a443)
& ~ c2_2(X146,a443)
& ~ c7_2(X146,a443) )
| ! [X147] :
( ndr1_1(X146)
=> ( ~ c7_2(X146,X147)
| ~ c2_2(X146,X147)
| ~ c3_2(X146,X147) ) ) ) ) )
& ( ~ c6_0
| ! [X148] :
( ndr1_0
=> ( ~ c8_1(X148)
| ~ c4_1(X148)
| ( ndr1_1(X148)
& c7_2(X148,a444)
& c2_2(X148,a444)
& c4_2(X148,a444) ) ) )
| ( ndr1_0
& ~ c2_1(a445)
& ndr1_1(a445)
& ~ c5_2(a445,a446)
& c3_2(a445,a446)
& ~ c8_2(a445,a446)
& ndr1_1(a445)
& ~ c5_2(a445,a447)
& ~ c2_2(a445,a447)
& c4_2(a445,a447) ) )
& ( ( ndr1_0
& ~ c8_1(a448)
& ! [X149] :
( ndr1_1(a448)
=> ( c3_2(a448,X149)
| ~ c1_2(a448,X149) ) )
& ! [X150] :
( ndr1_1(a448)
=> ( ~ c7_2(a448,X150)
| ~ c3_2(a448,X150)
| ~ c4_2(a448,X150) ) ) )
| ! [X151] :
( ndr1_0
=> ( ! [X152] :
( ndr1_1(X151)
=> ( ~ c5_2(X151,X152)
| c1_2(X151,X152) ) )
| ! [X153] :
( ndr1_1(X151)
=> ( c5_2(X151,X153)
| c7_2(X151,X153)
| ~ c2_2(X151,X153) ) )
| ! [X154] :
( ndr1_1(X151)
=> ( c3_2(X151,X154)
| ~ c5_2(X151,X154)
| c8_2(X151,X154) ) ) ) )
| c3_0 )
& ( ( ndr1_0
& ndr1_1(a449)
& ~ c7_2(a449,a450)
& c6_2(a449,a450)
& ~ c8_2(a449,a450)
& ndr1_1(a449)
& c8_2(a449,a451)
& ~ c2_2(a449,a451)
& ~ c4_2(a449,a451)
& ndr1_1(a449)
& c7_2(a449,a452)
& ~ c4_2(a449,a452) )
| c2_0
| ~ c1_0 )
& ( c1_0
| c4_0
| ( ndr1_0
& ! [X155] :
( ndr1_1(a453)
=> ( ~ c3_2(a453,X155)
| ~ c2_2(a453,X155)
| c7_2(a453,X155) ) )
& ! [X156] :
( ndr1_1(a453)
=> ( c3_2(a453,X156)
| ~ c8_2(a453,X156)
| ~ c4_2(a453,X156) ) )
& c3_1(a453) ) )
& ( ~ c4_0
| ( ndr1_0
& ~ c2_1(a454)
& ndr1_1(a454)
& ~ c2_2(a454,a455)
& c8_2(a454,a455)
& c4_2(a454,a455)
& ~ c1_1(a454) )
| c7_0 ) ) ).
%--------------------------------------------------------------------------