TPTP Problem File: SYN519+1.p
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- Solve Problem
%--------------------------------------------------------------------------
% File : SYN519+1 : TPTP v9.0.0. Released v2.1.0.
% Domain : Syntactic (Translated)
% Problem : ALC, N=5, R=1, L=175, K=3, D=2, P=0, Index=057
% 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-5-1-175-3-2-057.dfg [Wei97]
% Status : CounterSatisfiable
% Rating : 0.00 v6.2.0, 0.14 v6.1.0, 0.00 v5.5.0, 0.40 v5.3.0, 0.75 v5.0.0, 0.67 v4.0.1, 0.33 v3.7.0, 0.00 v3.5.0, 0.50 v3.4.0, 0.67 v3.3.0, 0.50 v3.2.0, 0.75 v3.1.0, 0.83 v2.7.0, 1.00 v2.1.0
% Syntax : Number of formulae : 1 ( 0 unt; 0 def)
% Number of atoms : 1191 ( 0 equ)
% Maximal formula atoms : 1191 (1191 avg)
% Number of connectives : 1584 ( 394 ~; 454 |; 552 &)
% ( 0 <=>; 184 =>; 0 <=; 0 <~>)
% Maximal formula depth : 113 ( 113 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 18 ( 18 usr; 6 prp; 0-2 aty)
% Number of functors : 174 ( 174 usr; 174 con; 0-0 aty)
% Number of variables : 184 ( 184 !; 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,
~ ( c1_0
& ( c2_0
| c3_0
| ~ c4_0 )
& ( c2_0
| c3_0
| ! [U] :
( ndr1_0
=> c2_1(U) ) )
& ( c2_0
| c3_0
| ( ndr1_0
& ! [V] :
( ndr1_1(a1)
=> ( c1_2(a1,V)
| c2_2(a1,V)
| c3_2(a1,V) ) )
& ! [W] :
( ndr1_1(a1)
=> ( c3_2(a1,W)
| ~ c5_2(a1,W) ) ) ) )
& ( c2_0
| c5_0
| ~ c4_0 )
& ( c2_0
| ~ c4_0 )
& ( c2_0
| ( ndr1_0
& c5_1(a2)
& ndr1_1(a2)
& c5_2(a2,a3)
& ~ c4_2(a2,a3) ) )
& ( c2_0
| ~ c3_0
| ! [X] :
( ndr1_0
=> ( c1_1(X)
| c2_1(X)
| ( ndr1_1(X)
& c2_2(X,a4)
& ~ c4_2(X,a4) ) ) ) )
& ( c2_0
| ~ c3_0
| ! [Y] :
( ndr1_0
=> ( c2_1(Y)
| ~ c1_1(Y)
| ( ndr1_1(Y)
& c4_2(Y,a5)
& c5_2(Y,a5)
& ~ c3_2(Y,a5) ) ) ) )
& ( c2_0
| ! [Z] :
( ndr1_0
=> ( c1_1(Z)
| ~ c5_1(Z)
| ( ndr1_1(Z)
& c2_2(Z,a6)
& c4_2(Z,a6)
& ~ c1_2(Z,a6) ) ) )
| ( ndr1_0
& ~ c1_1(a7)
& ! [X1] :
( ndr1_1(a7)
=> ( c2_2(a7,X1)
| c5_2(a7,X1) ) )
& ndr1_1(a7)
& c4_2(a7,a8)
& c5_2(a7,a8)
& ~ c1_2(a7,a8) ) )
& ( c2_0
| ! [X2] :
( ndr1_0
=> ( ~ c1_1(X2)
| ! [X3] :
( ndr1_1(X2)
=> ( c1_2(X2,X3)
| c3_2(X2,X3)
| ~ c5_2(X2,X3) ) )
| ( ndr1_1(X2)
& c1_2(X2,a9)
& ~ c2_2(X2,a9)
& ~ c3_2(X2,a9) ) ) )
| ( ndr1_0
& ~ c1_1(a10)
& ! [X4] :
( ndr1_1(a10)
=> ( c5_2(a10,X4)
| ~ c1_2(a10,X4)
| ~ c4_2(a10,X4) ) )
& ndr1_1(a10)
& ~ c3_2(a10,a11)
& ~ c5_2(a10,a11) ) )
& ( c2_0
| ! [X5] :
( ndr1_0
=> ( ~ c2_1(X5)
| ~ c3_1(X5)
| ~ c5_1(X5) ) )
| ! [X6] :
( ndr1_0
=> ( ~ c2_1(X6)
| ( ndr1_1(X6)
& c1_2(X6,a12)
& c2_2(X6,a12)
& ~ c3_2(X6,a12) )
| ( ndr1_1(X6)
& ~ c2_2(X6,a13)
& ~ c4_2(X6,a13)
& ~ c5_2(X6,a13) ) ) ) )
& ( c2_0
| ! [X7] :
( ndr1_0
=> ( ~ c2_1(X7)
| ( ndr1_1(X7)
& ~ c2_2(X7,a14)
& ~ c4_2(X7,a14) )
| ( ndr1_1(X7)
& ~ c4_2(X7,a15)
& ~ c5_2(X7,a15) ) ) )
| ( ndr1_0
& c5_1(a16)
& ! [X8] :
( ndr1_1(a16)
=> ( c4_2(a16,X8)
| c5_2(a16,X8) ) )
& ndr1_1(a16)
& c5_2(a16,a17)
& ~ c1_2(a16,a17) ) )
& ( c2_0
| ! [X9] :
( ndr1_0
=> ( ~ c3_1(X9)
| ~ c4_1(X9)
| ( ndr1_1(X9)
& c2_2(X9,a18)
& c5_2(X9,a18) ) ) )
| ( ndr1_0
& c3_1(a19)
& ! [X10] :
( ndr1_1(a19)
=> ( c2_2(a19,X10)
| c4_2(a19,X10)
| ~ c5_2(a19,X10) ) )
& ! [X11] :
( ndr1_1(a19)
=> ( c3_2(a19,X11)
| ~ c4_2(a19,X11)
| ~ c5_2(a19,X11) ) ) ) )
& ( c2_0
| ! [X12] :
( ndr1_0
=> ( ~ c4_1(X12)
| ! [X13] :
( ndr1_1(X12)
=> ( c2_2(X12,X13)
| c4_2(X12,X13)
| ~ c5_2(X12,X13) ) )
| ! [X14] :
( ndr1_1(X12)
=> ( c4_2(X12,X14)
| ~ c1_2(X12,X14)
| ~ c3_2(X12,X14) ) ) ) )
| ( ndr1_0
& c1_1(a20)
& ~ c2_1(a20)
& ndr1_1(a20)
& ~ c2_2(a20,a21)
& ~ c3_2(a20,a21)
& ~ c4_2(a20,a21) ) )
& ( c2_0
| ! [X15] :
( ndr1_0
=> ( ~ c4_1(X15)
| ! [X16] :
( ndr1_1(X15)
=> ( c3_2(X15,X16)
| c4_2(X15,X16)
| c5_2(X15,X16) ) )
| ( ndr1_1(X15)
& c3_2(X15,a22)
& ~ c2_2(X15,a22) ) ) ) )
& ( c2_0
| ( ndr1_0
& ~ c4_1(a23)
& ! [X17] :
( ndr1_1(a23)
=> ( c1_2(a23,X17)
| c3_2(a23,X17)
| c5_2(a23,X17) ) )
& ndr1_1(a23)
& c2_2(a23,a24)
& c3_2(a23,a24)
& ~ c1_2(a23,a24) ) )
& ( c3_0
| c5_0
| ! [X18] :
( ndr1_0
=> ( ~ c4_1(X18)
| ( ndr1_1(X18)
& c3_2(X18,a25)
& ~ c2_2(X18,a25)
& ~ c4_2(X18,a25) ) ) ) )
& ( c3_0
| c5_0
| ( ndr1_0
& ~ c1_1(a26)
& ! [X19] :
( ndr1_1(a26)
=> ( c2_2(a26,X19)
| c5_2(a26,X19)
| ~ c3_2(a26,X19) ) ) ) )
& ( c3_0
| ( ndr1_0
& c1_1(a27)
& ~ c2_1(a27) ) )
& ( c3_0
| ~ c2_0
| ! [X20] :
( ndr1_0
=> ( c3_1(X20)
| ! [X21] :
( ndr1_1(X20)
=> ( c3_2(X20,X21)
| c4_2(X20,X21)
| ~ c5_2(X20,X21) ) )
| ( ndr1_1(X20)
& c1_2(X20,a28)
& ~ c3_2(X20,a28)
& ~ c4_2(X20,a28) ) ) ) )
& ( c3_0
| ~ c2_0
| ( ndr1_0
& ~ c1_1(a29)
& ndr1_1(a29)
& c3_2(a29,a30)
& ~ c5_2(a29,a30) ) )
& ( c3_0
| ~ c4_0
| ! [X22] :
( ndr1_0
=> ( ( ndr1_1(X22)
& c2_2(X22,a31)
& ~ c4_2(X22,a31)
& ~ c5_2(X22,a31) )
| ( ndr1_1(X22)
& c4_2(X22,a32)
& c5_2(X22,a32) ) ) ) )
& ( c3_0
| ~ c5_0
| ! [X23] :
( ndr1_0
=> ( c1_1(X23)
| c2_1(X23)
| ! [X24] :
( ndr1_1(X23)
=> ( c2_2(X23,X24)
| c5_2(X23,X24) ) ) ) ) )
& ( c3_0
| ~ c5_0
| ( ndr1_0
& c2_1(a33)
& c5_1(a33)
& ! [X25] :
( ndr1_1(a33)
=> ( c3_2(a33,X25)
| c4_2(a33,X25)
| ~ c1_2(a33,X25) ) ) ) )
& ( c3_0
| ~ c5_0
| ( ndr1_0
& ~ c2_1(a34)
& ! [X26] :
( ndr1_1(a34)
=> ( c2_2(a34,X26)
| c5_2(a34,X26)
| ~ c1_2(a34,X26) ) )
& ndr1_1(a34)
& c2_2(a34,a35)
& c5_2(a34,a35)
& ~ c1_2(a34,a35) ) )
& ( c3_0
| ! [X27] :
( ndr1_0
=> ( c1_1(X27)
| c2_1(X27)
| ~ c5_1(X27) ) ) )
& ( c3_0
| ! [X28] :
( ndr1_0
=> ( c2_1(X28)
| c4_1(X28)
| ! [X29] :
( ndr1_1(X28)
=> ( c2_2(X28,X29)
| c3_2(X28,X29)
| ~ c1_2(X28,X29) ) ) ) )
| ! [X30] :
( ndr1_0
=> ( ! [X31] :
( ndr1_1(X30)
=> ( c1_2(X30,X31)
| c3_2(X30,X31) ) )
| ( ndr1_1(X30)
& c3_2(X30,a36)
& ~ c1_2(X30,a36)
& ~ c2_2(X30,a36) ) ) ) )
& ( c3_0
| ! [X32] :
( ndr1_0
=> ( c3_1(X32)
| ~ c5_1(X32)
| ! [X33] :
( ndr1_1(X32)
=> ( ~ c2_2(X32,X33)
| ~ c5_2(X32,X33) ) ) ) )
| ! [X34] :
( ndr1_0
=> ( ! [X35] :
( ndr1_1(X34)
=> ( c2_2(X34,X35)
| ~ c1_2(X34,X35)
| ~ c4_2(X34,X35) ) )
| ! [X36] :
( ndr1_1(X34)
=> ( ~ c2_2(X34,X36)
| ~ c3_2(X34,X36)
| ~ c5_2(X34,X36) ) )
| ! [X37] :
( ndr1_1(X34)
=> ( ~ c3_2(X34,X37)
| ~ c4_2(X34,X37)
| ~ c5_2(X34,X37) ) ) ) ) )
& ( c3_0
| ! [X38] :
( ndr1_0
=> ( c4_1(X38)
| ~ c2_1(X38)
| ! [X39] :
( ndr1_1(X38)
=> ( ~ c2_2(X38,X39)
| ~ c4_2(X38,X39)
| ~ c5_2(X38,X39) ) ) ) ) )
& ( c3_0
| ! [X40] :
( ndr1_0
=> ( ~ c4_1(X40)
| ~ c5_1(X40)
| ( ndr1_1(X40)
& ~ c2_2(X40,a37)
& ~ c3_2(X40,a37)
& ~ c4_2(X40,a37) ) ) )
| ( ndr1_0
& ~ c1_1(a38)
& ! [X41] :
( ndr1_1(a38)
=> ( c4_2(a38,X41)
| c5_2(a38,X41)
| ~ c3_2(a38,X41) ) )
& ndr1_1(a38)
& c3_2(a38,a39)
& ~ c5_2(a38,a39) ) )
& ( c3_0
| ! [X42] :
( ndr1_0
=> ( ~ c4_1(X42)
| ! [X43] :
( ndr1_1(X42)
=> ( ~ c1_2(X42,X43)
| ~ c4_2(X42,X43) ) )
| ( ndr1_1(X42)
& c1_2(X42,a40)
& c4_2(X42,a40)
& ~ c3_2(X42,a40) ) ) )
| ( ndr1_0
& c2_1(a41)
& c5_1(a41)
& ! [X44] :
( ndr1_1(a41)
=> ( ~ c3_2(a41,X44)
| ~ c5_2(a41,X44) ) ) ) )
& ( c3_0
| ! [X45] :
( ndr1_0
=> ( ! [X46] :
( ndr1_1(X45)
=> ( c2_2(X45,X46)
| c4_2(X45,X46)
| ~ c1_2(X45,X46) ) )
| ( ndr1_1(X45)
& c3_2(X45,a42)
& c4_2(X45,a42)
& ~ c2_2(X45,a42) ) ) )
| ( ndr1_0
& c4_1(a43)
& c5_1(a43)
& ! [X47] :
( ndr1_1(a43)
=> ( c1_2(a43,X47)
| ~ c3_2(a43,X47)
| ~ c4_2(a43,X47) ) ) ) )
& ( c3_0
| ! [X48] :
( ndr1_0
=> ( ( ndr1_1(X48)
& c3_2(X48,a44)
& ~ c2_2(X48,a44)
& ~ c4_2(X48,a44) )
| ( ndr1_1(X48)
& c5_2(X48,a45)
& ~ c4_2(X48,a45) ) ) ) )
& ( c3_0
| ( ndr1_0
& c1_1(a46)
& c2_1(a46)
& ! [X49] :
( ndr1_1(a46)
=> ( c4_2(a46,X49)
| ~ c2_2(a46,X49) ) ) ) )
& ( c3_0
| ( ndr1_0
& ~ c1_1(a47)
& ! [X50] :
( ndr1_1(a47)
=> ( c1_2(a47,X50)
| c4_2(a47,X50)
| c5_2(a47,X50) ) )
& ! [X51] :
( ndr1_1(a47)
=> ( c1_2(a47,X51)
| ~ c5_2(a47,X51) ) ) ) )
& ( c3_0
| ( ndr1_0
& ! [X52] :
( ndr1_1(a48)
=> ( c1_2(a48,X52)
| ~ c3_2(a48,X52) ) )
& ! [X53] :
( ndr1_1(a48)
=> ( c3_2(a48,X53)
| ~ c2_2(a48,X53) ) ) )
| ( ndr1_0
& ! [X54] :
( ndr1_1(a49)
=> ( c1_2(a49,X54)
| c2_2(a49,X54)
| c4_2(a49,X54) ) ) ) )
& ( c4_0
| c5_0 )
& ( c4_0
| c5_0
| ! [X55] :
( ndr1_0
=> ( c2_1(X55)
| ~ c1_1(X55)
| ( ndr1_1(X55)
& c2_2(X55,a50)
& c3_2(X55,a50) ) ) ) )
& ( c4_0
| c5_0
| ! [X56] :
( ndr1_0
=> ( ~ c3_1(X56)
| ! [X57] :
( ndr1_1(X56)
=> ( c1_2(X56,X57)
| ~ c2_2(X56,X57)
| ~ c5_2(X56,X57) ) )
| ! [X58] :
( ndr1_1(X56)
=> ( c3_2(X56,X58)
| c4_2(X56,X58)
| ~ c5_2(X56,X58) ) ) ) ) )
& c4_0
& ( c5_0
| ( ndr1_0
& ~ c4_1(a51)
& ! [X59] :
( ndr1_1(a51)
=> ( c2_2(a51,X59)
| c4_2(a51,X59)
| ~ c3_2(a51,X59) ) )
& ndr1_1(a51)
& c2_2(a51,a52)
& c3_2(a51,a52)
& ~ c4_2(a51,a52) ) )
& ( c5_0
| ~ c3_0 )
& ( c5_0
| ! [X60] :
( ndr1_0
=> ( c1_1(X60)
| ! [X61] :
( ndr1_1(X60)
=> ( c1_2(X60,X61)
| c3_2(X60,X61) ) )
| ! [X62] :
( ndr1_1(X60)
=> ( c3_2(X60,X62)
| c4_2(X60,X62) ) ) ) )
| ! [X63] :
( ndr1_0
=> ( ~ c2_1(X63)
| ~ c5_1(X63)
| ( ndr1_1(X63)
& c2_2(X63,a53)
& ~ c4_2(X63,a53) ) ) ) )
& ( c5_0
| ! [X64] :
( ndr1_0
=> ( c3_1(X64)
| c4_1(X64)
| ~ c5_1(X64) ) )
| ( ndr1_0
& c3_1(a54)
& c4_1(a54) ) )
& ( ~ c2_0
| ! [X65] :
( ndr1_0
=> ( ! [X66] :
( ndr1_1(X65)
=> ( c5_2(X65,X66)
| ~ c1_2(X65,X66)
| ~ c4_2(X65,X66) ) )
| ! [X67] :
( ndr1_1(X65)
=> ( ~ c3_2(X65,X67)
| ~ c4_2(X65,X67)
| ~ c5_2(X65,X67) ) )
| ( ndr1_1(X65)
& ~ c1_2(X65,a55)
& ~ c4_2(X65,a55) ) ) ) )
& ~ c3_0
& ! [X68] :
( ndr1_0
=> ( c5_1(X68)
| ~ c4_1(X68)
| ( ndr1_1(X68)
& c1_2(X68,a56)
& c5_2(X68,a56)
& ~ c3_2(X68,a56) ) ) )
& ( ~ c5_0
| ! [X69] :
( ndr1_0
=> ( ~ c3_1(X69)
| ! [X70] :
( ndr1_1(X69)
=> ( ~ c2_2(X69,X70)
| ~ c3_2(X69,X70)
| ~ c4_2(X69,X70) ) )
| ( ndr1_1(X69)
& c2_2(X69,a57)
& c4_2(X69,a57)
& c5_2(X69,a57) ) ) ) )
& ( ! [X71] :
( ndr1_0
=> ( c1_1(X71)
| c3_1(X71) ) )
| ! [X72] :
( ndr1_0
=> ( ~ c2_1(X72)
| ! [X73] :
( ndr1_1(X72)
=> ( c1_2(X72,X73)
| c4_2(X72,X73)
| ~ c5_2(X72,X73) ) )
| ! [X74] :
( ndr1_1(X72)
=> ( ~ c1_2(X72,X74)
| ~ c2_2(X72,X74)
| ~ c3_2(X72,X74) ) ) ) ) )
& ( ! [X75] :
( ndr1_0
=> ( c4_1(X75)
| ~ c5_1(X75)
| ! [X76] :
( ndr1_1(X75)
=> ~ c2_2(X75,X76) ) ) )
| ( ndr1_0
& c4_1(a58)
& ~ c2_1(a58)
& ! [X77] :
( ndr1_1(a58)
=> ( c1_2(a58,X77)
| c2_2(a58,X77)
| c5_2(a58,X77) ) ) ) )
& ! [X78] :
( ndr1_0
=> ( c4_1(X78)
| ( ndr1_1(X78)
& c2_2(X78,a59)
& c3_2(X78,a59) )
| ( ndr1_1(X78)
& ~ c2_2(X78,a60)
& ~ c4_2(X78,a60)
& ~ c5_2(X78,a60) ) ) )
& ( ! [X79] :
( ndr1_0
=> ( ~ c1_1(X79)
| ! [X80] :
( ndr1_1(X79)
=> ( c3_2(X79,X80)
| ~ c1_2(X79,X80) ) )
| ! [X81] :
( ndr1_1(X79)
=> ( c4_2(X79,X81)
| ~ c5_2(X79,X81) ) ) ) )
| ( ndr1_0
& ndr1_1(a61)
& c1_2(a61,a62)
& c4_2(a61,a62)
& ~ c2_2(a61,a62)
& ndr1_1(a61)
& c1_2(a61,a63)
& ~ c4_2(a61,a63)
& ~ c5_2(a61,a63)
& ndr1_1(a61)
& ~ c3_2(a61,a64)
& ~ c4_2(a61,a64) ) )
& ( ! [X82] :
( ndr1_0
=> ( ~ c4_1(X82)
| ( ndr1_1(X82)
& c1_2(X82,a65)
& c2_2(X82,a65) ) ) )
| ( ndr1_0
& c5_1(a66)
& ndr1_1(a66)
& c3_2(a66,a67)
& c5_2(a66,a67)
& ~ c2_2(a66,a67) ) )
& ( ! [X83] :
( ndr1_0
=> ( ! [X84] :
( ndr1_1(X83)
=> ( c2_2(X83,X84)
| c4_2(X83,X84)
| ~ c5_2(X83,X84) ) )
| ( ndr1_1(X83)
& c1_2(X83,a68)
& c3_2(X83,a68)
& ~ c2_2(X83,a68) )
| ( ndr1_1(X83)
& c3_2(X83,a69)
& ~ c1_2(X83,a69)
& ~ c2_2(X83,a69) ) ) )
| ( ndr1_0
& c2_1(a70)
& ~ c4_1(a70)
& ~ c5_1(a70) ) )
& ( ( ndr1_0
& c3_1(a71)
& ~ c2_1(a71)
& ~ c5_1(a71) )
| ( ndr1_0
& ~ c3_1(a72)
& ndr1_1(a72)
& c2_2(a72,a73)
& c3_2(a72,a73)
& ~ c4_2(a72,a73) ) )
& ( ~ c2_0
| ! [X85] :
( ndr1_0
=> ( c2_1(X85)
| c3_1(X85)
| ~ c1_1(X85) ) )
| ( ndr1_0
& c2_1(a74)
& ndr1_1(a74)
& c1_2(a74,a75)
& ~ c4_2(a74,a75)
& ~ c5_2(a74,a75)
& ndr1_1(a74)
& c2_2(a74,a76)
& c3_2(a74,a76)
& ~ c1_2(a74,a76) ) )
& ( ~ c2_0
| ! [X86] :
( ndr1_0
=> ( c4_1(X86)
| ~ c3_1(X86)
| ! [X87] :
( ndr1_1(X86)
=> ( c2_2(X86,X87)
| c4_2(X86,X87)
| c5_2(X86,X87) ) ) ) )
| ! [X88] :
( ndr1_0
=> ( c5_1(X88)
| ~ c2_1(X88)
| ~ c3_1(X88) ) ) )
& ( ~ c2_0
| ! [X89] :
( ndr1_0
=> ( ~ c2_1(X89)
| ! [X90] :
( ndr1_1(X89)
=> ( ~ c2_2(X89,X90)
| ~ c3_2(X89,X90) ) )
| ( ndr1_1(X89)
& c2_2(X89,a77)
& c3_2(X89,a77) ) ) )
| ! [X91] :
( ndr1_0
=> ( ~ c4_1(X91)
| ( ndr1_1(X91)
& c4_2(X91,a78)
& c5_2(X91,a78)
& ~ c3_2(X91,a78) ) ) ) )
& ( ~ c2_0
| ! [X92] :
( ndr1_0
=> ( ~ c5_1(X92)
| ! [X93] :
( ndr1_1(X92)
=> ( c1_2(X92,X93)
| ~ c5_2(X92,X93) ) )
| ( ndr1_1(X92)
& ~ c2_2(X92,a79)
& ~ c4_2(X92,a79) ) ) )
| ( ndr1_0
& ~ c3_1(a80)
& ~ c5_1(a80) ) )
& ( ~ c2_0
| ! [X94] :
( ndr1_0
=> ( ! [X95] :
( ndr1_1(X94)
=> ( c5_2(X94,X95)
| ~ c4_2(X94,X95) ) )
| ( ndr1_1(X94)
& c2_2(X94,a81)
& ~ c1_2(X94,a81)
& ~ c5_2(X94,a81) )
| ( ndr1_1(X94)
& c4_2(X94,a82)
& ~ c1_2(X94,a82)
& ~ c3_2(X94,a82) ) ) )
| ( ndr1_0
& c2_1(a83)
& ~ c4_1(a83)
& ndr1_1(a83)
& c1_2(a83,a84)
& c2_2(a83,a84)
& c3_2(a83,a84) ) )
& ( ~ c2_0
| ( ndr1_0
& c3_1(a85)
& ! [X96] :
( ndr1_1(a85)
=> ( c3_2(a85,X96)
| ~ c1_2(a85,X96)
| ~ c4_2(a85,X96) ) )
& ! [X97] :
( ndr1_1(a85)
=> ( c3_2(a85,X97)
| ~ c1_2(a85,X97)
| ~ c5_2(a85,X97) ) ) ) )
& ( ~ c2_0
| ( ndr1_0
& c4_1(a86)
& c5_1(a86)
& ~ c1_1(a86) )
| ( ndr1_0
& ~ c4_1(a87)
& ndr1_1(a87)
& c2_2(a87,a88)
& c3_2(a87,a88)
& c5_2(a87,a88)
& ndr1_1(a87)
& c2_2(a87,a89)
& c3_2(a87,a89)
& ~ c4_2(a87,a89) ) )
& ( ~ c2_0
| ( ndr1_0
& ~ c3_1(a90)
& ~ c4_1(a90) ) )
& ( ~ c5_0
| ( ndr1_0
& c5_1(a91)
& ~ c4_1(a91)
& ndr1_1(a91)
& ~ c1_2(a91,a92)
& ~ c2_2(a91,a92)
& ~ c4_2(a91,a92) ) )
& ! [X98] :
( ndr1_0
=> ( c2_1(X98)
| c3_1(X98)
| ! [X99] :
( ndr1_1(X98)
=> ( c2_2(X98,X99)
| c3_2(X98,X99)
| ~ c5_2(X98,X99) ) ) ) )
& ( ! [X100] :
( ndr1_0
=> ( c2_1(X100)
| ~ c4_1(X100)
| ! [X101] :
( ndr1_1(X100)
=> ( c3_2(X100,X101)
| ~ c1_2(X100,X101)
| ~ c4_2(X100,X101) ) ) ) )
| ( ndr1_0
& ~ c3_1(a93)
& ! [X102] :
( ndr1_1(a93)
=> ( c1_2(a93,X102)
| c5_2(a93,X102)
| ~ c3_2(a93,X102) ) ) ) )
& ( ! [X103] :
( ndr1_0
=> ( c2_1(X103)
| ! [X104] :
( ndr1_1(X103)
=> ( c1_2(X103,X104)
| ~ c3_2(X103,X104)
| ~ c5_2(X103,X104) ) ) ) )
| ( ndr1_0
& c5_1(a94)
& ! [X105] :
( ndr1_1(a94)
=> ( c3_2(a94,X105)
| ~ c2_2(a94,X105)
| ~ c5_2(a94,X105) ) )
& ndr1_1(a94)
& c2_2(a94,a95)
& ~ c4_2(a94,a95) ) )
& ( ! [X106] :
( ndr1_0
=> ( ~ c1_1(X106)
| ~ c2_1(X106) ) )
| ( ndr1_0
& ~ c3_1(a96)
& ! [X107] :
( ndr1_1(a96)
=> ( c3_2(a96,X107)
| c5_2(a96,X107)
| ~ c1_2(a96,X107) ) )
& ndr1_1(a96)
& c3_2(a96,a97)
& ~ c5_2(a96,a97) ) )
& ( ! [X108] :
( ndr1_0
=> ( ~ c1_1(X108)
| ~ c3_1(X108)
| ( ndr1_1(X108)
& c1_2(X108,a98)
& c4_2(X108,a98)
& c5_2(X108,a98) ) ) )
| ( ndr1_0
& ~ c1_1(a99)
& ! [X109] :
( ndr1_1(a99)
=> ( c4_2(a99,X109)
| ~ c2_2(a99,X109) ) )
& ! [X110] :
( ndr1_1(a99)
=> ( ~ c1_2(a99,X110)
| ~ c2_2(a99,X110)
| ~ c3_2(a99,X110) ) ) ) )
& ! [X111] :
( ndr1_0
=> ( ~ c3_1(X111)
| ( ndr1_1(X111)
& c1_2(X111,a100)
& c4_2(X111,a100)
& ~ c3_2(X111,a100) )
| ( ndr1_1(X111)
& c2_2(X111,a101)
& ~ c3_2(X111,a101)
& ~ c5_2(X111,a101) ) ) )
& ( ( ndr1_0
& c3_1(a102)
& c5_1(a102) )
| ( ndr1_0
& c4_1(a103)
& ~ c2_1(a103)
& ndr1_1(a103)
& c4_2(a103,a104)
& ~ c3_2(a103,a104) ) )
& ( ~ c5_0
| ! [X112] :
( ndr1_0
=> ( c1_1(X112)
| c3_1(X112)
| ( ndr1_1(X112)
& ~ c2_2(X112,a105)
& ~ c3_2(X112,a105) ) ) )
| ! [X113] :
( ndr1_0
=> ( ~ c1_1(X113)
| ( ndr1_1(X113)
& c4_2(X113,a106)
& ~ c1_2(X113,a106) ) ) ) )
& ( ~ c5_0
| ! [X114] :
( ndr1_0
=> ( c2_1(X114)
| ~ c4_1(X114)
| ! [X115] :
( ndr1_1(X114)
=> ( c1_2(X114,X115)
| c4_2(X114,X115)
| ~ c2_2(X114,X115) ) ) ) ) )
& ( ~ c5_0
| ! [X116] :
( ndr1_0
=> ( c3_1(X116)
| ! [X117] :
( ndr1_1(X116)
=> ( c1_2(X116,X117)
| c3_2(X116,X117)
| ~ c5_2(X116,X117) ) )
| ! [X118] :
( ndr1_1(X116)
=> ( c1_2(X116,X118)
| c5_2(X116,X118)
| ~ c3_2(X116,X118) ) ) ) ) )
& ( ~ c5_0
| ( ndr1_0
& ! [X119] :
( ndr1_1(a107)
=> ( c1_2(a107,X119)
| c2_2(a107,X119) ) )
& ! [X120] :
( ndr1_1(a107)
=> ( ~ c1_2(a107,X120)
| ~ c3_2(a107,X120)
| ~ c4_2(a107,X120) ) )
& ndr1_1(a107)
& c4_2(a107,a108)
& ~ c1_2(a107,a108) ) )
& ( ! [X121] :
( ndr1_0
=> ( c0_1(X121)
& ~ c0_1(X121) ) )
| ( ndr1_0
& c4_1(a109)
& ~ c1_1(a109) )
| ( ndr1_0
& ~ c5_1(a110)
& ndr1_1(a110)
& c3_2(a110,a111)
& ~ c2_2(a110,a111)
& ~ c5_2(a110,a111) ) )
& ( ! [X122] :
( ndr1_0
=> ( c1_1(X122)
| ~ c2_1(X122)
| ( ndr1_1(X122)
& c3_2(X122,a112)
& ~ c4_2(X122,a112) ) ) )
| ! [X123] :
( ndr1_0
=> ( c5_1(X123)
| ( ndr1_1(X123)
& c3_2(X123,a113)
& ~ c4_2(X123,a113)
& ~ c5_2(X123,a113) ) ) )
| ( ndr1_0
& c1_1(a114)
& ~ c4_1(a114)
& ~ c5_1(a114) ) )
& ( ! [X124] :
( ndr1_0
=> ( c1_1(X124)
| ~ c5_1(X124)
| ! [X125] :
( ndr1_1(X124)
=> ( c2_2(X124,X125)
| c4_2(X124,X125)
| ~ c1_2(X124,X125) ) ) ) )
| ! [X126] :
( ndr1_0
=> ( c5_1(X126)
| ( ndr1_1(X126)
& c1_2(X126,a115)
& c2_2(X126,a115)
& ~ c4_2(X126,a115) )
| ( ndr1_1(X126)
& c4_2(X126,a116)
& ~ c1_2(X126,a116)
& ~ c5_2(X126,a116) ) ) ) )
& ( ! [X127] :
( ndr1_0
=> ( c1_1(X127)
| ! [X128] :
( ndr1_1(X127)
=> ( c4_2(X127,X128)
| ~ c1_2(X127,X128) ) )
| ( ndr1_1(X127)
& c1_2(X127,a117)
& ~ c5_2(X127,a117) ) ) )
| ! [X129] :
( ndr1_0
=> ( c2_1(X129)
| c4_1(X129)
| ~ c3_1(X129) ) )
| ( ndr1_0
& c5_1(a118)
& ~ c3_1(a118) ) )
& ( ! [X130] :
( ndr1_0
=> ( c2_1(X130)
| c3_1(X130)
| ( ndr1_1(X130)
& ~ c3_2(X130,a119)
& ~ c4_2(X130,a119) ) ) )
| ( ndr1_0
& ~ c3_1(a120)
& ~ c4_1(a120)
& ! [X131] :
( ndr1_1(a120)
=> ( c1_2(a120,X131)
| c3_2(a120,X131)
| c5_2(a120,X131) ) ) )
| ( ndr1_0
& ~ c5_1(a121)
& ! [X132] :
( ndr1_1(a121)
=> ( c3_2(a121,X132)
| ~ c1_2(a121,X132) ) ) ) )
& ( ! [X133] :
( ndr1_0
=> ( c2_1(X133)
| ! [X134] :
( ndr1_1(X133)
=> ( c4_2(X133,X134)
| c5_2(X133,X134)
| ~ c3_2(X133,X134) ) ) ) )
| ! [X135] :
( ndr1_0
=> ( c5_1(X135)
| ! [X136] :
( ndr1_1(X135)
=> ( c1_2(X135,X136)
| ~ c2_2(X135,X136) ) ) ) )
| ( ndr1_0
& c3_1(a122)
& ~ c1_1(a122)
& ~ c2_1(a122) ) )
& ( ! [X137] :
( ndr1_0
=> ( c3_1(X137)
| ~ c2_1(X137)
| ! [X138] :
( ndr1_1(X137)
=> ( c1_2(X137,X138)
| c4_2(X137,X138)
| ~ c2_2(X137,X138) ) ) ) )
| ( ndr1_0
& c5_1(a123)
& ~ c4_1(a123)
& ! [X139] :
( ndr1_1(a123)
=> ( c2_2(a123,X139)
| c4_2(a123,X139)
| ~ c1_2(a123,X139) ) ) ) )
& ( ! [X140] :
( ndr1_0
=> ( c4_1(X140)
| ~ c2_1(X140)
| ( ndr1_1(X140)
& c1_2(X140,a124)
& c3_2(X140,a124)
& c5_2(X140,a124) ) ) )
| ( ndr1_0
& ndr1_1(a125)
& c3_2(a125,a126)
& ~ c4_2(a125,a126) ) )
& ( ! [X141] :
( ndr1_0
=> ( c5_1(X141)
| ~ c1_1(X141) ) )
| ( ndr1_0
& c4_1(a127)
& c5_1(a127)
& ~ c3_1(a127) )
| ( ndr1_0
& c5_1(a128)
& ! [X142] :
( ndr1_1(a128)
=> ( c3_2(a128,X142)
| c4_2(a128,X142) ) )
& ! [X143] :
( ndr1_1(a128)
=> ( c5_2(a128,X143)
| ~ c3_2(a128,X143)
| ~ c4_2(a128,X143) ) ) ) )
& ( ! [X144] :
( ndr1_0
=> ( c5_1(X144)
| ~ c4_1(X144)
| ( ndr1_1(X144)
& ~ c3_2(X144,a129)
& ~ c4_2(X144,a129)
& ~ c5_2(X144,a129) ) ) )
| ( ndr1_0
& ~ c1_1(a130)
& ~ c5_1(a130)
& ! [X145] :
( ndr1_1(a130)
=> ( c1_2(a130,X145)
| c4_2(a130,X145)
| c5_2(a130,X145) ) ) ) )
& ( ! [X146] :
( ndr1_0
=> ( ~ c1_1(X146)
| ~ c4_1(X146) ) )
| ( ndr1_0
& c1_1(a131)
& ! [X147] :
( ndr1_1(a131)
=> ( c1_2(a131,X147)
| c4_2(a131,X147)
| ~ c3_2(a131,X147) ) ) )
| ( ndr1_0
& ~ c1_1(a132)
& ~ c3_1(a132) ) )
& ( ! [X148] :
( ndr1_0
=> ( ~ c1_1(X148)
| ! [X149] :
( ndr1_1(X148)
=> ( c1_2(X148,X149)
| c5_2(X148,X149)
| ~ c2_2(X148,X149) ) )
| ( ndr1_1(X148)
& c4_2(X148,a133)
& c5_2(X148,a133)
& ~ c1_2(X148,a133) ) ) )
| ! [X150] :
( ndr1_0
=> ( ! [X151] :
( ndr1_1(X150)
=> ( c3_2(X150,X151)
| ~ c4_2(X150,X151) ) )
| ( ndr1_1(X150)
& c2_2(X150,a134)
& ~ c3_2(X150,a134) ) ) )
| ( ndr1_0
& c5_1(a135)
& ~ c3_1(a135) ) )
& ( ! [X152] :
( ndr1_0
=> ( ~ c1_1(X152)
| ( ndr1_1(X152)
& c1_2(X152,a136)
& c5_2(X152,a136)
& ~ c2_2(X152,a136) )
| ( ndr1_1(X152)
& c4_2(X152,a137)
& ~ c1_2(X152,a137)
& ~ c5_2(X152,a137) ) ) )
| ! [X153] :
( ndr1_0
=> ( ~ c3_1(X153)
| ( ndr1_1(X153)
& c5_2(X153,a138)
& ~ c1_2(X153,a138)
& ~ c2_2(X153,a138) ) ) )
| ( ndr1_0
& c2_1(a139)
& ~ c1_1(a139) ) )
& ( ! [X154] :
( ndr1_0
=> ( ~ c2_1(X154)
| ! [X155] :
( ndr1_1(X154)
=> ( c4_2(X154,X155)
| ~ c1_2(X154,X155)
| ~ c3_2(X154,X155) ) ) ) )
| ! [X156] :
( ndr1_0
=> ( ! [X157] :
( ndr1_1(X156)
=> ( c1_2(X156,X157)
| c2_2(X156,X157)
| c3_2(X156,X157) ) )
| ! [X158] :
( ndr1_1(X156)
=> ( c3_2(X156,X158)
| c4_2(X156,X158) ) ) ) )
| ( ndr1_0
& ~ c1_1(a140)
& ~ c5_1(a140)
& ! [X159] :
( ndr1_1(a140)
=> ( c2_2(a140,X159)
| ~ c4_2(a140,X159) ) ) ) )
& ( ! [X160] :
( ndr1_0
=> ( ~ c3_1(X160)
| ! [X161] :
( ndr1_1(X160)
=> ( c4_2(X160,X161)
| ~ c1_2(X160,X161)
| ~ c3_2(X160,X161) ) )
| ! [X162] :
( ndr1_1(X160)
=> ( c4_2(X160,X162)
| ~ c2_2(X160,X162)
| ~ c5_2(X160,X162) ) ) ) )
| ! [X163] :
( ndr1_0
=> ( ! [X164] :
( ndr1_1(X163)
=> ( ~ c1_2(X163,X164)
| ~ c3_2(X163,X164) ) )
| ! [X165] :
( ndr1_1(X163)
=> ( ~ c2_2(X163,X165)
| ~ c4_2(X163,X165)
| ~ c5_2(X163,X165) ) )
| ( ndr1_1(X163)
& c1_2(X163,a141)
& c4_2(X163,a141) ) ) )
| ( ndr1_0
& ! [X166] :
( ndr1_1(a142)
=> ( c2_2(a142,X166)
| c3_2(a142,X166)
| c5_2(a142,X166) ) )
& ! [X167] :
( ndr1_1(a142)
=> ( c4_2(a142,X167)
| ~ c2_2(a142,X167)
| ~ c3_2(a142,X167) ) ) ) )
& ( ! [X168] :
( ndr1_0
=> ( ! [X169] :
( ndr1_1(X168)
=> ( c3_2(X168,X169)
| c5_2(X168,X169)
| ~ c1_2(X168,X169) ) )
| ( ndr1_1(X168)
& c1_2(X168,a143)
& c2_2(X168,a143)
& c4_2(X168,a143) ) ) )
| ( ndr1_0
& c4_1(a144)
& ! [X170] :
( ndr1_1(a144)
=> ( c2_2(a144,X170)
| c3_2(a144,X170)
| c4_2(a144,X170) ) )
& ! [X171] :
( ndr1_1(a144)
=> ( c2_2(a144,X171)
| c4_2(a144,X171)
| ~ c1_2(a144,X171) ) ) )
| ( ndr1_0
& ~ c1_1(a145)
& ! [X172] :
( ndr1_1(a145)
=> ( c3_2(a145,X172)
| ~ c1_2(a145,X172) ) ) ) )
& ( ( ndr1_0
& c1_1(a146)
& c3_1(a146)
& ! [X173] :
( ndr1_1(a146)
=> ( c2_2(a146,X173)
| ~ c3_2(a146,X173)
| ~ c4_2(a146,X173) ) ) )
| ( ndr1_0
& ~ c3_1(a147)
& ~ c4_1(a147)
& ndr1_1(a147)
& c2_2(a147,a148)
& c4_2(a147,a148)
& ~ c3_2(a147,a148) )
| ( ndr1_0
& ndr1_1(a149)
& c2_2(a149,a150)
& c3_2(a149,a150)
& ~ c4_2(a149,a150)
& ndr1_1(a149)
& c3_2(a149,a151)
& ~ c2_2(a149,a151)
& ~ c5_2(a149,a151)
& ndr1_1(a149)
& ~ c1_2(a149,a152)
& ~ c2_2(a149,a152)
& ~ c4_2(a149,a152) ) )
& ( ( ndr1_0
& c1_1(a153)
& c5_1(a153) )
| ( ndr1_0
& c1_1(a154)
& ~ c4_1(a154)
& ndr1_1(a154)
& c4_2(a154,a155)
& ~ c3_2(a154,a155)
& ~ c5_2(a154,a155) )
| ( ndr1_0
& c2_1(a156)
& ~ c4_1(a156)
& ndr1_1(a156)
& c2_2(a156,a157)
& ~ c5_2(a156,a157) ) )
& ( ( ndr1_0
& c1_1(a158)
& ~ c2_1(a158)
& ! [X174] :
( ndr1_1(a158)
=> ( c1_2(a158,X174)
| c2_2(a158,X174)
| ~ c3_2(a158,X174) ) ) )
| ( ndr1_0
& c3_1(a159)
& c4_1(a159)
& c5_1(a159) ) )
& ( ( ndr1_0
& c2_1(a160)
& c3_1(a160) )
| ( ndr1_0
& c2_1(a161)
& ~ c4_1(a161)
& ndr1_1(a161)
& c1_2(a161,a162)
& c2_2(a161,a162)
& c5_2(a161,a162) )
| ( ndr1_0
& ! [X175] :
( ndr1_1(a163)
=> ( c4_2(a163,X175)
| c5_2(a163,X175)
| ~ c1_2(a163,X175) ) ) ) )
& ( ( ndr1_0
& c3_1(a164)
& ndr1_1(a164)
& c1_2(a164,a165)
& c4_2(a164,a165)
& ndr1_1(a164)
& c3_2(a164,a166)
& c5_2(a164,a166) )
| ( ndr1_0
& ~ c1_1(a167)
& ~ c4_1(a167)
& ! [X176] :
( ndr1_1(a167)
=> ( c2_2(a167,X176)
| c5_2(a167,X176)
| ~ c1_2(a167,X176) ) ) )
| ( ndr1_0
& ndr1_1(a168)
& c1_2(a168,a169)
& ~ c3_2(a168,a169)
& ~ c4_2(a168,a169)
& ndr1_1(a168)
& c3_2(a168,a170)
& c5_2(a168,a170)
& ~ c1_2(a168,a170)
& ndr1_1(a168)
& ~ c2_2(a168,a171)
& ~ c3_2(a168,a171) ) )
& ( ( ndr1_0
& c5_1(a172)
& ! [X177] :
( ndr1_1(a172)
=> ( c2_2(a172,X177)
| c5_2(a172,X177) ) )
& ! [X178] :
( ndr1_1(a172)
=> ( c2_2(a172,X178)
| c5_2(a172,X178)
| ~ c4_2(a172,X178) ) ) )
| ( ndr1_0
& ~ c2_1(a173)
& ~ c5_1(a173)
& ndr1_1(a173)
& ~ c3_2(a173,a174)
& ~ c5_2(a173,a174) ) ) ) ).
%--------------------------------------------------------------------------