TPTP Problem File: SYN421+1.p
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- Solve Problem
%--------------------------------------------------------------------------
% File : SYN421+1 : TPTP v8.2.0. Released v2.1.0.
% Domain : Syntactic (Translated)
% Problem : ALC, N=10, R=1, L=110, K=3, D=2, P=0, Index=069
% 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-10-1-110-3-2-069.dfg [Wei97]
% Status : CounterSatisfiable
% Rating : 0.00 v5.5.0, 0.10 v5.4.0, 0.20 v5.3.0, 0.00 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, 0.25 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 v2.2.1, 1.00 v2.1.0
% Syntax : Number of formulae : 1 ( 0 unt; 0 def)
% Number of atoms : 1089 ( 0 equ)
% Maximal formula atoms : 1089 (1089 avg)
% Number of connectives : 1495 ( 407 ~; 415 |; 546 &)
% ( 0 <=>; 127 =>; 0 <=; 0 <~>)
% Maximal formula depth : 108 ( 108 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 32 ( 32 usr; 11 prp; 0-2 aty)
% Number of functors : 159 ( 159 usr; 159 con; 0-0 aty)
% Number of variables : 127 ( 127 !; 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,
~ ( ( ( ndr1_0
& c3_1(a449)
& c8_1(a449)
& ! [U] :
( ndr1_1(a449)
=> ( c9_2(a449,U)
| c4_2(a449,U) ) ) )
| ! [V] :
( ndr1_0
=> ( ( ndr1_1(V)
& c9_2(V,a450)
& ~ c8_2(V,a450)
& ~ c6_2(V,a450) )
| ~ c5_1(V)
| ~ c1_1(V) ) )
| c6_0 )
& ( ~ c9_0
| ~ c2_0
| ! [W] :
( ndr1_0
=> ( ( ndr1_1(W)
& c4_2(W,a451)
& c7_2(W,a451) )
| ( ndr1_1(W)
& ~ c2_2(W,a452)
& c1_2(W,a452)
& c9_2(W,a452) )
| ( ndr1_1(W)
& ~ c1_2(W,a453)
& c4_2(W,a453) ) ) ) )
& ( c7_0
| c4_0
| ( ndr1_0
& ~ c4_1(a454)
& c5_1(a454)
& ~ c9_1(a454) ) )
& ( ( ndr1_0
& c1_1(a455)
& ~ c8_1(a455)
& c9_1(a455) )
| ! [X] :
( ndr1_0
=> ( ~ c4_1(X)
| ( ndr1_1(X)
& ~ c1_2(X,a456)
& ~ c6_2(X,a456)
& ~ c7_2(X,a456) )
| ~ c3_1(X) ) )
| c4_0 )
& ( ( ndr1_0
& ~ c2_1(a457)
& c5_1(a457)
& ndr1_1(a457)
& ~ c10_2(a457,a458)
& ~ c9_2(a457,a458) )
| ~ c2_0
| ~ c9_0 )
& ( ~ c4_0
| ! [Y] :
( ndr1_0
=> ( c10_1(Y)
| ! [Z] :
( ndr1_1(Y)
=> ( c10_2(Y,Z)
| c2_2(Y,Z)
| c7_2(Y,Z) ) )
| ( ndr1_1(Y)
& ~ c9_2(Y,a459)
& c2_2(Y,a459)
& c8_2(Y,a459) ) ) ) )
& ( ! [X1] :
( ndr1_0
=> ( ! [X2] :
( ndr1_1(X1)
=> ( ~ c7_2(X1,X2)
| ~ c8_2(X1,X2)
| c3_2(X1,X2) ) )
| c7_1(X1)
| ~ c6_1(X1) ) )
| c1_0
| c3_0 )
& ( ( ndr1_0
& ~ c7_1(a460)
& c6_1(a460)
& ndr1_1(a460)
& c4_2(a460,a461)
& c3_2(a460,a461)
& ~ c10_2(a460,a461) )
| ~ c9_0
| ~ c7_0 )
& ( c5_0
| ! [X3] :
( ndr1_0
=> ( ! [X4] :
( ndr1_1(X3)
=> ( c6_2(X3,X4)
| ~ c9_2(X3,X4)
| c8_2(X3,X4) ) )
| ( ndr1_1(X3)
& ~ c1_2(X3,a462)
& c10_2(X3,a462)
& c2_2(X3,a462) )
| ! [X5] :
( ndr1_1(X3)
=> ( c7_2(X3,X5)
| ~ c1_2(X3,X5)
| c6_2(X3,X5) ) ) ) )
| ( ndr1_0
& ! [X6] :
( ndr1_1(a463)
=> ( c6_2(a463,X6)
| ~ c3_2(a463,X6)
| c5_2(a463,X6) ) )
& ~ c9_1(a463)
& ~ c7_1(a463) ) )
& ( ~ c1_0
| ( ndr1_0
& ndr1_1(a464)
& c10_2(a464,a465)
& ~ c6_2(a464,a465)
& ~ c2_2(a464,a465)
& c3_1(a464)
& ndr1_1(a464)
& c5_2(a464,a466)
& ~ c7_2(a464,a466) )
| ~ c9_0 )
& ( c4_0
| ( ndr1_0
& c4_1(a467)
& ndr1_1(a467)
& c3_2(a467,a468)
& c6_2(a467,a468)
& ~ c10_2(a467,a468)
& c2_1(a467) )
| ! [X7] :
( ndr1_0
=> ( ~ c8_1(X7)
| ~ c2_1(X7)
| ~ c7_1(X7) ) ) )
& ( c10_0
| ( ndr1_0
& ! [X8] :
( ndr1_1(a469)
=> ( ~ c8_2(a469,X8)
| ~ c6_2(a469,X8)
| c1_2(a469,X8) ) )
& c6_1(a469)
& c10_1(a469) )
| ( ndr1_0
& ~ c2_1(a470)
& ! [X9] :
( ndr1_1(a470)
=> ( c8_2(a470,X9)
| ~ c4_2(a470,X9)
| ~ c5_2(a470,X9) ) )
& c8_1(a470) ) )
& ( ~ c2_0
| ( ndr1_0
& c9_1(a471)
& ndr1_1(a471)
& c6_2(a471,a472)
& ~ c4_2(a471,a472)
& c3_2(a471,a472)
& ~ c3_1(a471) )
| ( ndr1_0
& c7_1(a473)
& c9_1(a473)
& ! [X10] :
( ndr1_1(a473)
=> ( c3_2(a473,X10)
| c8_2(a473,X10)
| ~ c6_2(a473,X10) ) ) ) )
& ( ! [X11] :
( ndr1_0
=> ( c7_1(X11)
| ! [X12] :
( ndr1_1(X11)
=> ( c5_2(X11,X12)
| ~ c9_2(X11,X12)
| c6_2(X11,X12) ) )
| c1_1(X11) ) )
| c9_0
| ~ c2_0 )
& ( c6_0
| ! [X13] :
( ndr1_0
=> ( c10_1(X13)
| c9_1(X13)
| ( ndr1_1(X13)
& c8_2(X13,a474)
& c7_2(X13,a474)
& ~ c6_2(X13,a474) ) ) )
| ( ndr1_0
& ndr1_1(a475)
& c9_2(a475,a476)
& ~ c10_2(a475,a476)
& ~ c7_2(a475,a476) ) )
& ( ( ndr1_0
& ~ c5_1(a477)
& c1_1(a477)
& c6_1(a477) )
| ~ c5_0
| ~ c8_0 )
& ( ( ndr1_0
& c7_1(a478)
& ndr1_1(a478)
& c3_2(a478,a479)
& ~ c1_2(a478,a479)
& ~ c8_2(a478,a479)
& ndr1_1(a478)
& c7_2(a478,a480)
& ~ c4_2(a478,a480)
& c2_2(a478,a480) )
| c3_0
| ( ndr1_0
& ! [X14] :
( ndr1_1(a481)
=> ( ~ c7_2(a481,X14)
| ~ c3_2(a481,X14)
| ~ c5_2(a481,X14) ) )
& ndr1_1(a481)
& c4_2(a481,a482)
& c10_2(a481,a482)
& c6_2(a481,a482)
& ndr1_1(a481)
& c5_2(a481,a483)
& c10_2(a481,a483)
& ~ c7_2(a481,a483) ) )
& ( ~ c4_0
| ~ c8_0 )
& ( ( ndr1_0
& ! [X15] :
( ndr1_1(a484)
=> ( ~ c5_2(a484,X15)
| c7_2(a484,X15) ) )
& ! [X16] :
( ndr1_1(a484)
=> ( c10_2(a484,X16)
| c8_2(a484,X16) ) )
& ndr1_1(a484)
& ~ c4_2(a484,a485)
& ~ c8_2(a484,a485)
& ~ c3_2(a484,a485) )
| c1_0
| c5_0 )
& ( ~ c3_0
| ! [X17] :
( ndr1_0
=> ( ( ndr1_1(X17)
& ~ c1_2(X17,a486)
& ~ c2_2(X17,a486)
& ~ c9_2(X17,a486) )
| ! [X18] :
( ndr1_1(X17)
=> ( ~ c8_2(X17,X18)
| c6_2(X17,X18)
| ~ c4_2(X17,X18) ) )
| ( ndr1_1(X17)
& ~ c10_2(X17,a487)
& c9_2(X17,a487) ) ) ) )
& ( ( ndr1_0
& ~ c9_1(a488)
& c2_1(a488) )
| c6_0
| ( ndr1_0
& ndr1_1(a489)
& ~ c2_2(a489,a490)
& ~ c1_2(a489,a490)
& ~ c5_2(a489,a490)
& ~ c6_1(a489)
& ~ c10_1(a489) ) )
& ( c4_0
| ! [X19] :
( ndr1_0
=> ( ~ c1_1(X19)
| c7_1(X19) ) )
| c3_0 )
& ( ~ c2_0
| ~ c9_0
| c8_0 )
& ( ( ndr1_0
& ndr1_1(a491)
& ~ c6_2(a491,a492)
& c7_2(a491,a492)
& ~ c2_2(a491,a492)
& ! [X20] :
( ndr1_1(a491)
=> ( ~ c4_2(a491,X20)
| c10_2(a491,X20)
| ~ c9_2(a491,X20) ) )
& c1_1(a491) )
| ~ c4_0
| ! [X21] :
( ndr1_0
=> ( c3_1(X21)
| ! [X22] :
( ndr1_1(X21)
=> ( c6_2(X21,X22)
| c10_2(X21,X22)
| c1_2(X21,X22) ) )
| c1_1(X21) ) ) )
& ( ~ c1_0
| ( ndr1_0
& c9_1(a493)
& ! [X23] :
( ndr1_1(a493)
=> ( ~ c6_2(a493,X23)
| c5_2(a493,X23) ) ) )
| ( ndr1_0
& ndr1_1(a494)
& ~ c9_2(a494,a495)
& c10_2(a494,a495)
& ~ c6_2(a494,a495)
& ~ c4_1(a494)
& ~ c1_1(a494) ) )
& ( c1_0
| ! [X24] :
( ndr1_0
=> ( ( ndr1_1(X24)
& c2_2(X24,a496)
& ~ c10_2(X24,a496)
& c6_2(X24,a496) )
| ~ c1_1(X24)
| ! [X25] :
( ndr1_1(X24)
=> ( c5_2(X24,X25)
| c2_2(X24,X25)
| c8_2(X24,X25) ) ) ) )
| ! [X26] :
( ndr1_0
=> ( ( ndr1_1(X26)
& ~ c4_2(X26,a497)
& c2_2(X26,a497)
& c9_2(X26,a497) )
| ( ndr1_1(X26)
& c10_2(X26,a498)
& c1_2(X26,a498) )
| ! [X27] :
( ndr1_1(X26)
=> ( ~ c6_2(X26,X27)
| ~ c1_2(X26,X27)
| c8_2(X26,X27) ) ) ) ) )
& ( c5_0
| c6_0
| ! [X28] :
( ndr1_0
=> ( c7_1(X28)
| ! [X29] :
( ndr1_1(X28)
=> ( ~ c4_2(X28,X29)
| c7_2(X28,X29)
| ~ c9_2(X28,X29) ) )
| c5_1(X28) ) ) )
& ( ~ c5_0
| ~ c8_0
| ( ndr1_0
& ~ c4_1(a499)
& ndr1_1(a499)
& c10_2(a499,a500)
& ~ c7_2(a499,a500)
& c2_2(a499,a500)
& ndr1_1(a499)
& c10_2(a499,a501)
& c6_2(a499,a501)
& ~ c9_2(a499,a501) ) )
& ( c8_0
| ( ndr1_0
& ~ c5_1(a502)
& ~ c9_1(a502)
& ndr1_1(a502)
& ~ c1_2(a502,a503)
& c8_2(a502,a503) )
| ! [X30] :
( ndr1_0
=> ( ! [X31] :
( ndr1_1(X30)
=> ( c10_2(X30,X31)
| ~ c7_2(X30,X31)
| ~ c9_2(X30,X31) ) )
| c9_1(X30)
| c1_1(X30) ) ) )
& ( ( ndr1_0
& c10_1(a504)
& ! [X32] :
( ndr1_1(a504)
=> ( c1_2(a504,X32)
| ~ c9_2(a504,X32)
| c7_2(a504,X32) ) )
& ndr1_1(a504)
& ~ c3_2(a504,a505)
& ~ c9_2(a504,a505)
& ~ c2_2(a504,a505) )
| ~ c10_0
| ! [X33] :
( ndr1_0
=> ( c3_1(X33)
| ~ c6_1(X33)
| c10_1(X33) ) ) )
& ( ! [X34] :
( ndr1_0
=> ( c5_1(X34)
| c7_1(X34)
| ~ c6_1(X34) ) )
| c6_0
| c9_0 )
& ( ! [X35] :
( ndr1_0
=> ( ( ndr1_1(X35)
& c10_2(X35,a506)
& ~ c3_2(X35,a506)
& c9_2(X35,a506) )
| ! [X36] :
( ndr1_1(X35)
=> ( c7_2(X35,X36)
| c2_2(X35,X36)
| ~ c5_2(X35,X36) ) )
| c1_1(X35) ) )
| ! [X37] :
( ndr1_0
=> ( ( ndr1_1(X37)
& c6_2(X37,a507)
& ~ c4_2(X37,a507)
& c3_2(X37,a507) )
| ! [X38] :
( ndr1_1(X37)
=> ( c4_2(X37,X38)
| ~ c6_2(X37,X38)
| ~ c3_2(X37,X38) ) )
| ( ndr1_1(X37)
& c7_2(X37,a508)
& c2_2(X37,a508)
& c3_2(X37,a508) ) ) )
| ( ndr1_0
& ndr1_1(a509)
& ~ c2_2(a509,a510)
& ~ c10_2(a509,a510)
& c3_2(a509,a510)
& c6_1(a509)
& ~ c3_1(a509) ) )
& ( ! [X39] :
( ndr1_0
=> ( ( ndr1_1(X39)
& c6_2(X39,a511)
& ~ c5_2(X39,a511) )
| ! [X40] :
( ndr1_1(X39)
=> ( ~ c4_2(X39,X40)
| c10_2(X39,X40) ) )
| ( ndr1_1(X39)
& c7_2(X39,a512)
& c1_2(X39,a512)
& c2_2(X39,a512) ) ) )
| ( ndr1_0
& c9_1(a513)
& ~ c6_1(a513)
& ! [X41] :
( ndr1_1(a513)
=> ( c10_2(a513,X41)
| c1_2(a513,X41)
| c9_2(a513,X41) ) ) )
| ~ c5_0 )
& ( ~ c7_0
| ( ndr1_0
& c1_1(a514)
& ~ c2_1(a514)
& c10_1(a514) )
| ~ c6_0 )
& ( ( ndr1_0
& ndr1_1(a515)
& ~ c6_2(a515,a516)
& ~ c10_2(a515,a516)
& c8_1(a515)
& ! [X42] :
( ndr1_1(a515)
=> ( c5_2(a515,X42)
| ~ c10_2(a515,X42)
| ~ c1_2(a515,X42) ) ) )
| ! [X43] :
( ndr1_0
=> ( c5_1(X43)
| c9_1(X43) ) )
| ~ c9_0 )
& ( ! [X44] :
( ndr1_0
=> ( c7_1(X44)
| ! [X45] :
( ndr1_1(X44)
=> ( ~ c4_2(X44,X45)
| c10_2(X44,X45)
| c2_2(X44,X45) ) )
| ! [X46] :
( ndr1_1(X44)
=> ( c3_2(X44,X46)
| c4_2(X44,X46)
| ~ c2_2(X44,X46) ) ) ) )
| ~ c1_0 )
& ( ( ndr1_0
& ! [X47] :
( ndr1_1(a517)
=> ( ~ c10_2(a517,X47)
| c4_2(a517,X47) ) )
& c9_1(a517)
& ndr1_1(a517)
& c8_2(a517,a518)
& c9_2(a517,a518)
& ~ c1_2(a517,a518) )
| ( ndr1_0
& c9_1(a519)
& ndr1_1(a519)
& ~ c5_2(a519,a520)
& ~ c7_2(a519,a520)
& c9_2(a519,a520)
& ~ c8_1(a519) )
| c3_0 )
& ( c5_0
| c9_0
| ( ndr1_0
& ~ c10_1(a521)
& ndr1_1(a521)
& c1_2(a521,a522)
& c6_2(a521,a522)
& ~ c9_2(a521,a522)
& c7_1(a521) ) )
& ( ! [X48] :
( ndr1_0
=> ( ! [X49] :
( ndr1_1(X48)
=> ( ~ c7_2(X48,X49)
| c2_2(X48,X49)
| c8_2(X48,X49) ) )
| ! [X50] :
( ndr1_1(X48)
=> ( c9_2(X48,X50)
| ~ c4_2(X48,X50)
| c1_2(X48,X50) ) )
| ~ c7_1(X48) ) )
| ~ c8_0
| ~ c10_0 )
& ( c1_0
| ( ndr1_0
& ~ c3_1(a523)
& c4_1(a523)
& ndr1_1(a523)
& ~ c2_2(a523,a524)
& c4_2(a523,a524)
& c8_2(a523,a524) )
| ( ndr1_0
& ~ c7_1(a525)
& c8_1(a525)
& ~ c6_1(a525) ) )
& ( ! [X51] :
( ndr1_0
=> ( ~ c4_1(X51)
| ~ c1_1(X51)
| ( ndr1_1(X51)
& ~ c9_2(X51,a526)
& ~ c2_2(X51,a526)
& c6_2(X51,a526) ) ) )
| ~ c10_0
| c9_0 )
& ( ~ c5_0
| ! [X52] :
( ndr1_0
=> ( ~ c6_1(X52)
| ~ c9_1(X52)
| ( ndr1_1(X52)
& c8_2(X52,a527)
& c9_2(X52,a527)
& c7_2(X52,a527) ) ) )
| ! [X53] :
( ndr1_0
=> ( ~ c5_1(X53)
| ( ndr1_1(X53)
& ~ c4_2(X53,a528)
& ~ c2_2(X53,a528)
& ~ c3_2(X53,a528) )
| ~ c2_1(X53) ) ) )
& ( c5_0
| c4_0 )
& ( c10_0
| ! [X54] :
( ndr1_0
=> ( ! [X55] :
( ndr1_1(X54)
=> ( c1_2(X54,X55)
| ~ c10_2(X54,X55) ) )
| ( ndr1_1(X54)
& c3_2(X54,a529)
& c2_2(X54,a529)
& c7_2(X54,a529) )
| ( ndr1_1(X54)
& c9_2(X54,a530)
& ~ c1_2(X54,a530)
& c6_2(X54,a530) ) ) ) )
& ( c8_0
| ~ c10_0
| ~ c3_0 )
& ( ~ c3_0
| ! [X56] :
( ndr1_0
=> ( ( ndr1_1(X56)
& ~ c10_2(X56,a531)
& c5_2(X56,a531)
& ~ c6_2(X56,a531) )
| ~ c1_1(X56)
| ( ndr1_1(X56)
& ~ c4_2(X56,a532)
& c9_2(X56,a532)
& ~ c1_2(X56,a532) ) ) )
| ( ndr1_0
& ndr1_1(a533)
& c8_2(a533,a534)
& ~ c3_2(a533,a534)
& ~ c7_2(a533,a534)
& ~ c1_1(a533)
& ndr1_1(a533)
& ~ c1_2(a533,a535)
& ~ c3_2(a533,a535)
& ~ c4_2(a533,a535) ) )
& ( ! [X57] :
( ndr1_0
=> ( c2_1(X57)
| ( ndr1_1(X57)
& ~ c4_2(X57,a536)
& c9_2(X57,a536)
& ~ c3_2(X57,a536) )
| c6_1(X57) ) )
| ( ndr1_0
& c5_1(a537)
& ~ c9_1(a537)
& ~ c8_1(a537) )
| ( ndr1_0
& ! [X58] :
( ndr1_1(a538)
=> ( ~ c2_2(a538,X58)
| c10_2(a538,X58)
| c9_2(a538,X58) ) )
& ndr1_1(a538)
& c3_2(a538,a539)
& ~ c6_2(a538,a539)
& ~ c5_2(a538,a539)
& ndr1_1(a538)
& c9_2(a538,a540)
& ~ c4_2(a538,a540)
& c6_2(a538,a540) ) )
& ( c3_0
| ( ndr1_0
& ~ c9_1(a541)
& c10_1(a541)
& ~ c1_1(a541) )
| c10_0 )
& ( ~ c10_0
| ! [X59] :
( ndr1_0
=> ( ( ndr1_1(X59)
& c1_2(X59,a542)
& c5_2(X59,a542)
& ~ c6_2(X59,a542) )
| ( ndr1_1(X59)
& ~ c5_2(X59,a543)
& c1_2(X59,a543)
& c4_2(X59,a543) )
| ! [X60] :
( ndr1_1(X59)
=> ( ~ c7_2(X59,X60)
| c6_2(X59,X60)
| ~ c2_2(X59,X60) ) ) ) )
| c9_0 )
& ( ! [X61] :
( ndr1_0
=> ( c5_1(X61)
| ( ndr1_1(X61)
& c9_2(X61,a544)
& c4_2(X61,a544)
& ~ c8_2(X61,a544) ) ) )
| c8_0
| ! [X62] :
( ndr1_0
=> ( c7_1(X62)
| ( ndr1_1(X62)
& ~ c4_2(X62,a545)
& ~ c10_2(X62,a545) )
| c2_1(X62) ) ) )
& ( ~ c7_0
| ~ c2_0 )
& ( ! [X63] :
( ndr1_0
=> ( ~ c2_1(X63)
| ( ndr1_1(X63)
& c7_2(X63,a546)
& ~ c4_2(X63,a546)
& ~ c1_2(X63,a546) )
| c1_1(X63) ) )
| ( ndr1_0
& c6_1(a547)
& c5_1(a547) )
| ~ c10_0 )
& ( ! [X64] :
( ndr1_0
=> ( ~ c5_1(X64)
| ! [X65] :
( ndr1_1(X64)
=> ( c3_2(X64,X65)
| c10_2(X64,X65)
| c2_2(X64,X65) ) )
| ( ndr1_1(X64)
& ~ c6_2(X64,a548)
& c9_2(X64,a548)
& ~ c2_2(X64,a548) ) ) )
| c10_0
| ( ndr1_0
& ~ c10_1(a549)
& c2_1(a549)
& ! [X66] :
( ndr1_1(a549)
=> ( ~ c8_2(a549,X66)
| ~ c4_2(a549,X66)
| ~ c1_2(a549,X66) ) ) ) )
& ( c10_0
| c2_0
| ~ c3_0 )
& ( c2_0
| c9_0
| ( ndr1_0
& ! [X67] :
( ndr1_1(a550)
=> ( c5_2(a550,X67)
| ~ c8_2(a550,X67)
| ~ c3_2(a550,X67) ) )
& ! [X68] :
( ndr1_1(a550)
=> ( ~ c6_2(a550,X68)
| c1_2(a550,X68)
| ~ c8_2(a550,X68) ) )
& c9_1(a550) ) )
& ( ~ c8_0
| ~ c10_0
| ~ c1_0 )
& ( ~ c3_0
| c2_0
| c8_0 )
& ( c1_0
| ~ c7_0
| ( ndr1_0
& c8_1(a551)
& ~ c9_1(a551)
& ndr1_1(a551)
& c2_2(a551,a552)
& c6_2(a551,a552)
& ~ c3_2(a551,a552) ) )
& ( c5_0
| c6_0
| ~ c8_0 )
& ( ! [X69] :
( ndr1_0
=> ( ~ c8_1(X69)
| ( ndr1_1(X69)
& c7_2(X69,a553)
& c10_2(X69,a553)
& c8_2(X69,a553) )
| ! [X70] :
( ndr1_1(X69)
=> ( ~ c9_2(X69,X70)
| ~ c5_2(X69,X70)
| c8_2(X69,X70) ) ) ) )
| c4_0 )
& ( ~ c7_0
| ~ c1_0
| ! [X71] :
( ndr1_0
=> ( ~ c4_1(X71)
| c5_1(X71)
| c6_1(X71) ) ) )
& ( c8_0
| ~ c2_0
| ( ndr1_0
& ~ c2_1(a554)
& c8_1(a554)
& ~ c3_1(a554) ) )
& ( c4_0
| ~ c5_0
| ~ c3_0 )
& ( ! [X72] :
( ndr1_0
=> ( ~ c4_1(X72)
| ! [X73] :
( ndr1_1(X72)
=> ( ~ c2_2(X72,X73)
| ~ c8_2(X72,X73) ) )
| ( ndr1_1(X72)
& ~ c4_2(X72,a555)
& c3_2(X72,a555)
& ~ c9_2(X72,a555) ) ) )
| ! [X74] :
( ndr1_0
=> ( ! [X75] :
( ndr1_1(X74)
=> ( ~ c6_2(X74,X75)
| c5_2(X74,X75)
| c2_2(X74,X75) ) )
| ~ c6_1(X74)
| ! [X76] :
( ndr1_1(X74)
=> ( ~ c3_2(X74,X76)
| c4_2(X74,X76)
| c1_2(X74,X76) ) ) ) )
| ~ c6_0 )
& ( ! [X77] :
( ndr1_0
=> ( ~ c1_1(X77)
| c9_1(X77)
| c5_1(X77) ) )
| c4_0
| c8_0 )
& ( ( ndr1_0
& ! [X78] :
( ndr1_1(a556)
=> ( c8_2(a556,X78)
| c5_2(a556,X78)
| ~ c1_2(a556,X78) ) )
& ~ c5_1(a556)
& ~ c8_1(a556) )
| ~ c3_0 )
& ( c4_0
| ! [X79] :
( ndr1_0
=> ( c8_1(X79)
| c10_1(X79)
| ( ndr1_1(X79)
& ~ c8_2(X79,a557)
& c1_2(X79,a557)
& ~ c6_2(X79,a557) ) ) ) )
& ( ! [X80] :
( ndr1_0
=> ( ~ c3_1(X80)
| ~ c9_1(X80)
| ( ndr1_1(X80)
& ~ c9_2(X80,a558)
& ~ c3_2(X80,a558)
& ~ c4_2(X80,a558) ) ) )
| ! [X81] :
( ndr1_0
=> ( ndr1_1(X81)
& ~ c8_2(X81,a559)
& ~ c7_2(X81,a559)
& ~ c4_2(X81,a559) ) )
| ! [X82] :
( ndr1_0
=> ( ~ c2_1(X82)
| c7_1(X82)
| ! [X83] :
( ndr1_1(X82)
=> ( ~ c3_2(X82,X83)
| ~ c6_2(X82,X83)
| ~ c4_2(X82,X83) ) ) ) ) )
& ( c1_0
| c4_0
| c10_0 )
& ( ( ndr1_0
& ! [X84] :
( ndr1_1(a560)
=> ( c10_2(a560,X84)
| c3_2(a560,X84)
| ~ c8_2(a560,X84) ) )
& ndr1_1(a560)
& c2_2(a560,a561)
& c1_2(a560,a561) )
| ~ c10_0
| ! [X85] :
( ndr1_0
=> ( c5_1(X85)
| c9_1(X85)
| c7_1(X85) ) ) )
& ( ( ndr1_0
& ndr1_1(a562)
& c10_2(a562,a563)
& c4_2(a562,a563)
& ~ c1_2(a562,a563)
& ! [X86] :
( ndr1_1(a562)
=> ( c9_2(a562,X86)
| c6_2(a562,X86) ) )
& c6_1(a562) )
| c9_0
| ~ c8_0 )
& ( ! [X87] :
( ndr1_0
=> ( ~ c5_1(X87)
| ! [X88] :
( ndr1_1(X87)
=> ( ~ c8_2(X87,X88)
| ~ c5_2(X87,X88)
| ~ c10_2(X87,X88) ) )
| ! [X89] :
( ndr1_1(X87)
=> ( ~ c5_2(X87,X89)
| ~ c3_2(X87,X89)
| c10_2(X87,X89) ) ) ) )
| ! [X90] :
( ndr1_0
=> ( ( ndr1_1(X90)
& ~ c9_2(X90,a564)
& ~ c2_2(X90,a564) )
| ~ c7_1(X90)
| ( ndr1_1(X90)
& c4_2(X90,a565)
& ~ c3_2(X90,a565)
& ~ c5_2(X90,a565) ) ) )
| ( ndr1_0
& ! [X91] :
( ndr1_1(a566)
=> ( c5_2(a566,X91)
| c6_2(a566,X91)
| ~ c9_2(a566,X91) ) )
& ~ c3_1(a566)
& ! [X92] :
( ndr1_1(a566)
=> ( ~ c7_2(a566,X92)
| c3_2(a566,X92)
| ~ c5_2(a566,X92) ) ) ) )
& ( ~ c10_0
| ~ c1_0
| ~ c2_0 )
& ( ! [X93] :
( ndr1_0
=> ( ( ndr1_1(X93)
& ~ c2_2(X93,a567)
& c6_2(X93,a567)
& ~ c3_2(X93,a567) )
| ! [X94] :
( ndr1_1(X93)
=> ( ~ c5_2(X93,X94)
| ~ c1_2(X93,X94)
| ~ c7_2(X93,X94) ) )
| ( ndr1_1(X93)
& c9_2(X93,a568)
& ~ c10_2(X93,a568) ) ) )
| ~ c4_0
| ( ndr1_0
& ndr1_1(a569)
& c5_2(a569,a570)
& ~ c7_2(a569,a570)
& ~ c1_2(a569,a570)
& c3_1(a569) ) )
& ( ( ndr1_0
& c5_1(a571)
& ndr1_1(a571)
& c9_2(a571,a572)
& ~ c8_2(a571,a572)
& ~ c3_1(a571) )
| c1_0 )
& ( c3_0
| c6_0
| ~ c2_0 )
& ( ~ c9_0
| ~ c5_0
| c10_0 )
& ( ~ c1_0
| ~ c8_0
| ( ndr1_0
& c9_1(a573)
& ! [X95] :
( ndr1_1(a573)
=> ( c9_2(a573,X95)
| ~ c7_2(a573,X95)
| c8_2(a573,X95) ) )
& ! [X96] :
( ndr1_1(a573)
=> ( ~ c7_2(a573,X96)
| c8_2(a573,X96) ) ) ) )
& ( ~ c6_0
| ~ c10_0
| ~ c3_0 )
& ( ~ c4_0
| ! [X97] :
( ndr1_0
=> ( ~ c6_1(X97)
| ~ c8_1(X97)
| ( ndr1_1(X97)
& c6_2(X97,a574)
& c4_2(X97,a574)
& c7_2(X97,a574) ) ) )
| c2_0 )
& ( ( ndr1_0
& ndr1_1(a575)
& ~ c8_2(a575,a576)
& c9_2(a575,a576)
& c5_2(a575,a576)
& c7_1(a575)
& c5_1(a575) )
| c7_0
| ( ndr1_0
& ~ c1_1(a577)
& ~ c8_1(a577)
& ~ c6_1(a577) ) )
& ( ( ndr1_0
& ~ c8_1(a578)
& c1_1(a578)
& ndr1_1(a578)
& c7_2(a578,a579)
& c2_2(a578,a579)
& ~ c8_2(a578,a579) )
| c10_0
| c9_0 )
& ( ! [X98] :
( ndr1_0
=> ( ~ c3_1(X98)
| c7_1(X98)
| ( ndr1_1(X98)
& c6_2(X98,a580)
& ~ c1_2(X98,a580)
& ~ c9_2(X98,a580) ) ) )
| ! [X99] :
( ndr1_0
=> ( c6_1(X99)
| ! [X100] :
( ndr1_1(X99)
=> ( ~ c6_2(X99,X100)
| ~ c5_2(X99,X100) ) )
| ~ c4_1(X99) ) )
| ~ c8_0 )
& ( ~ c8_0
| c4_0
| ( ndr1_0
& ~ c7_1(a581)
& ! [X101] :
( ndr1_1(a581)
=> ( c3_2(a581,X101)
| c6_2(a581,X101)
| ~ c5_2(a581,X101) ) )
& c8_1(a581) ) )
& ( c1_0
| ( ndr1_0
& ndr1_1(a582)
& c6_2(a582,a583)
& ~ c5_2(a582,a583)
& ~ c10_2(a582,a583)
& ~ c1_1(a582) )
| ! [X102] :
( ndr1_0
=> ( c5_1(X102)
| ~ c10_1(X102)
| c9_1(X102) ) ) )
& ( ( ndr1_0
& ~ c6_1(a584)
& c8_1(a584)
& ! [X103] :
( ndr1_1(a584)
=> ( c10_2(a584,X103)
| ~ c8_2(a584,X103)
| c3_2(a584,X103) ) ) )
| ~ c3_0 )
& ( ( ndr1_0
& ~ c5_1(a585)
& c9_1(a585) )
| c8_0
| ( ndr1_0
& ndr1_1(a586)
& ~ c4_2(a586,a587)
& ~ c5_2(a586,a587)
& ~ c1_2(a586,a587)
& ndr1_1(a586)
& ~ c1_2(a586,a588)
& ~ c8_2(a586,a588)
& c3_2(a586,a588)
& c8_1(a586) ) )
& ( c4_0
| c3_0
| c5_0 )
& ( c3_0
| ! [X104] :
( ndr1_0
=> ( ( ndr1_1(X104)
& ~ c2_2(X104,a589)
& ~ c10_2(X104,a589)
& ~ c7_2(X104,a589) )
| c10_1(X104)
| ! [X105] :
( ndr1_1(X104)
=> ( ~ c1_2(X104,X105)
| ~ c3_2(X104,X105) ) ) ) )
| ! [X106] :
( ndr1_0
=> ( ( ndr1_1(X106)
& ~ c1_2(X106,a590)
& ~ c2_2(X106,a590)
& ~ c7_2(X106,a590) )
| c8_1(X106) ) ) )
& ( ! [X107] :
( ndr1_0
=> ( ~ c9_1(X107)
| ~ c1_1(X107)
| ( ndr1_1(X107)
& ~ c1_2(X107,a591)
& c7_2(X107,a591) ) ) )
| ( ndr1_0
& c9_1(a592)
& ~ c8_1(a592) )
| ! [X108] :
( ndr1_0
=> ( ! [X109] :
( ndr1_1(X108)
=> ( c3_2(X108,X109)
| ~ c2_2(X108,X109)
| c1_2(X108,X109) ) )
| ~ c3_1(X108)
| ( ndr1_1(X108)
& ~ c5_2(X108,a593)
& ~ c6_2(X108,a593)
& ~ c8_2(X108,a593) ) ) ) )
& ( c1_0
| ( ndr1_0
& ndr1_1(a594)
& ~ c3_2(a594,a595)
& ~ c4_2(a594,a595)
& c6_2(a594,a595)
& ~ c6_1(a594)
& ndr1_1(a594)
& c6_2(a594,a596)
& c3_2(a594,a596) )
| c9_0 )
& ( c4_0
| ( ndr1_0
& ndr1_1(a597)
& ~ c1_2(a597,a598)
& ~ c9_2(a597,a598)
& ~ c4_2(a597,a598)
& ~ c7_1(a597)
& ! [X110] :
( ndr1_1(a597)
=> ( ~ c1_2(a597,X110)
| ~ c3_2(a597,X110)
| c7_2(a597,X110) ) ) )
| ( ndr1_0
& ndr1_1(a599)
& c3_2(a599,a600)
& ~ c2_2(a599,a600)
& ~ c5_2(a599,a600)
& ~ c4_1(a599) ) )
& ( ( ndr1_0
& c5_1(a601)
& ~ c10_1(a601)
& ! [X111] :
( ndr1_1(a601)
=> ( c4_2(a601,X111)
| c6_2(a601,X111)
| c7_2(a601,X111) ) ) )
| ( ndr1_0
& ! [X112] :
( ndr1_1(a602)
=> ( c7_2(a602,X112)
| ~ c2_2(a602,X112)
| ~ c4_2(a602,X112) ) )
& c7_1(a602)
& ndr1_1(a602)
& ~ c6_2(a602,a603)
& ~ c7_2(a602,a603)
& ~ c8_2(a602,a603) )
| ! [X113] :
( ndr1_0
=> ( ( ndr1_1(X113)
& c3_2(X113,a604)
& c10_2(X113,a604)
& ~ c6_2(X113,a604) )
| ~ c6_1(X113)
| ! [X114] :
( ndr1_1(X113)
=> ( ~ c2_2(X113,X114)
| c4_2(X113,X114)
| c6_2(X113,X114) ) ) ) ) )
& ( ( ndr1_0
& ndr1_1(a605)
& ~ c3_2(a605,a606)
& ~ c1_2(a605,a606)
& c2_2(a605,a606)
& ~ c5_1(a605)
& ~ c4_1(a605) )
| ~ c9_0
| ! [X115] :
( ndr1_0
=> ( ! [X116] :
( ndr1_1(X115)
=> ( ~ c3_2(X115,X116)
| ~ c6_2(X115,X116)
| c2_2(X115,X116) ) )
| c1_1(X115)
| ~ c10_1(X115) ) ) )
& ( c9_0
| c4_0 )
& ( ! [X117] :
( ndr1_0
=> ( c2_1(X117)
| ~ c6_1(X117)
| ~ c7_1(X117) ) )
| ~ c7_0
| ! [X118] :
( ndr1_0
=> ( ! [X119] :
( ndr1_1(X118)
=> ( c1_2(X118,X119)
| c4_2(X118,X119) ) )
| ~ c5_1(X118)
| ( ndr1_1(X118)
& ~ c5_2(X118,a607)
& c4_2(X118,a607)
& ~ c2_2(X118,a607) ) ) ) )
& ( ! [X120] :
( ndr1_0
=> ( c5_1(X120)
| c10_1(X120)
| ! [X121] :
( ndr1_1(X120)
=> ( c3_2(X120,X121)
| ~ c6_2(X120,X121) ) ) ) )
| c10_0
| ~ c2_0 ) ) ).
%--------------------------------------------------------------------------