TPTP Problem File: SYN418+1.p
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- Solve Problem
%--------------------------------------------------------------------------
% File : SYN418+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=002
% 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-10-1-100-3-2-002.dfg [Wei97]
% Status : CounterSatisfiable
% Rating : 0.00 v5.5.0, 0.10 v5.4.0, 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, 0.50 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 v2.1.0
% Syntax : Number of formulae : 1 ( 0 unt; 0 def)
% Number of atoms : 1074 ( 0 equ)
% Maximal formula atoms : 1074 (1074 avg)
% Number of connectives : 1473 ( 400 ~; 428 |; 498 &)
% ( 0 <=>; 147 =>; 0 <=; 0 <~>)
% Maximal formula depth : 96 ( 96 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 32 ( 32 usr; 11 prp; 0-2 aty)
% Number of functors : 146 ( 146 usr; 146 con; 0-0 aty)
% Number of variables : 147 ( 147 !; 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
& ndr1_1(a1)
& ~ c3_2(a1,a2)
& ~ c5_2(a1,a2)
& c6_2(a1,a2)
& c9_1(a1)
& c6_1(a1) )
| ( ndr1_0
& ndr1_1(a3)
& ~ c3_2(a3,a4)
& c1_2(a3,a4)
& c5_2(a3,a4)
& ~ c1_1(a3)
& ndr1_1(a3)
& ~ c1_2(a3,a5)
& c7_2(a3,a5)
& ~ c3_2(a3,a5) )
| ! [U] :
( ndr1_0
=> ( c6_1(U)
| ~ c7_1(U) ) ) )
& ( ( ndr1_0
& c10_1(a6)
& ~ c6_1(a6)
& ~ c4_1(a6) )
| ( ndr1_0
& ndr1_1(a7)
& ~ c1_2(a7,a8)
& ~ c9_2(a7,a8)
& c2_2(a7,a8)
& c10_1(a7)
& c8_1(a7) ) )
& ( ~ c7_0
| ! [V] :
( ndr1_0
=> ( ~ c3_1(V)
| c6_1(V)
| ! [W] :
( ndr1_1(V)
=> ( ~ c6_2(V,W)
| c1_2(V,W)
| ~ c8_2(V,W) ) ) ) )
| ~ c10_0 )
& ( ! [X] :
( ndr1_0
=> ( c10_1(X)
| ~ c7_1(X)
| ! [Y] :
( ndr1_1(X)
=> ( c3_2(X,Y)
| ~ c10_2(X,Y)
| ~ c1_2(X,Y) ) ) ) )
| ( ndr1_0
& ~ c8_1(a9)
& ! [Z] :
( ndr1_1(a9)
=> ( c4_2(a9,Z)
| c5_2(a9,Z) ) )
& ndr1_1(a9)
& ~ c3_2(a9,a10)
& ~ c6_2(a9,a10)
& c2_2(a9,a10) )
| ! [X1] :
( ndr1_0
=> ( ( ndr1_1(X1)
& c1_2(X1,a11)
& ~ c9_2(X1,a11)
& c2_2(X1,a11) )
| ~ c3_1(X1)
| ! [X2] :
( ndr1_1(X1)
=> ( c4_2(X1,X2)
| ~ c8_2(X1,X2)
| ~ c1_2(X1,X2) ) ) ) ) )
& ( ( ndr1_0
& ~ c3_1(a12)
& ndr1_1(a12)
& c6_2(a12,a13)
& c4_2(a12,a13)
& ~ c9_2(a12,a13) )
| c8_0
| ! [X3] :
( ndr1_0
=> ( ! [X4] :
( ndr1_1(X3)
=> ( ~ c2_2(X3,X4)
| c1_2(X3,X4)
| ~ c7_2(X3,X4) ) )
| ~ c6_1(X3)
| ( ndr1_1(X3)
& c2_2(X3,a14)
& c10_2(X3,a14)
& ~ c7_2(X3,a14) ) ) ) )
& ( ~ c3_0
| c1_0
| ~ c2_0 )
& ( ~ c2_0
| ~ c3_0
| c4_0 )
& ( c8_0
| ! [X5] :
( ndr1_0
=> ( c3_1(X5)
| ! [X6] :
( ndr1_1(X5)
=> ( c7_2(X5,X6)
| ~ c10_2(X5,X6)
| c6_2(X5,X6) ) )
| ~ c10_1(X5) ) )
| ( ndr1_0
& ! [X7] :
( ndr1_1(a15)
=> ( ~ c2_2(a15,X7)
| c5_2(a15,X7)
| ~ c4_2(a15,X7) ) )
& c3_1(a15)
& ! [X8] :
( ndr1_1(a15)
=> ( ~ c9_2(a15,X8)
| ~ c4_2(a15,X8)
| ~ c6_2(a15,X8) ) ) ) )
& ( ~ c1_0
| ( ndr1_0
& ndr1_1(a16)
& ~ c8_2(a16,a17)
& ~ c2_2(a16,a17)
& c9_2(a16,a17)
& ! [X9] :
( ndr1_1(a16)
=> ( ~ c4_2(a16,X9)
| ~ c7_2(a16,X9)
| ~ c10_2(a16,X9) ) )
& ~ c3_1(a16) )
| ( ndr1_0
& c6_1(a18)
& ! [X10] :
( ndr1_1(a18)
=> ( c8_2(a18,X10)
| c4_2(a18,X10)
| c7_2(a18,X10) ) )
& c3_1(a18) ) )
& ( ! [X11] :
( ndr1_0
=> ~ c6_1(X11) )
| ( ndr1_0
& ndr1_1(a19)
& c2_2(a19,a20)
& c9_2(a19,a20)
& ~ c4_2(a19,a20)
& ndr1_1(a19)
& c2_2(a19,a21)
& ~ c8_2(a19,a21)
& c7_1(a19) )
| ( ndr1_0
& ndr1_1(a22)
& c2_2(a22,a23)
& c7_2(a22,a23)
& c10_2(a22,a23)
& ndr1_1(a22)
& ~ c6_2(a22,a24)
& ~ c1_2(a22,a24)
& ~ c2_2(a22,a24)
& c8_1(a22) ) )
& ( ~ c4_0
| ! [X12] :
( ndr1_0
=> ( ( ndr1_1(X12)
& c8_2(X12,a25)
& c5_2(X12,a25)
& c3_2(X12,a25) )
| ~ c3_1(X12) ) ) )
& ( c10_0
| ~ c9_0
| ( ndr1_0
& c8_1(a26)
& ndr1_1(a26)
& c9_2(a26,a27)
& c6_2(a26,a27)
& ~ c5_2(a26,a27)
& ! [X13] :
( ndr1_1(a26)
=> ( ~ c7_2(a26,X13)
| c8_2(a26,X13)
| ~ c4_2(a26,X13) ) ) ) )
& ( c10_0
| ! [X14] :
( ndr1_0
=> ( ! [X15] :
( ndr1_1(X14)
=> ( ~ c1_2(X14,X15)
| c10_2(X14,X15)
| ~ c9_2(X14,X15) ) )
| ! [X16] :
( ndr1_1(X14)
=> ( c9_2(X14,X16)
| c3_2(X14,X16)
| c1_2(X14,X16) ) )
| ! [X17] :
( ndr1_1(X14)
=> ( c9_2(X14,X17)
| ~ c1_2(X14,X17)
| ~ c10_2(X14,X17) ) ) ) )
| c6_0 )
& ( ~ c4_0
| ( ndr1_0
& ! [X18] :
( ndr1_1(a28)
=> ( c7_2(a28,X18)
| c3_2(a28,X18)
| ~ c6_2(a28,X18) ) )
& ~ c10_1(a28)
& ! [X19] :
( ndr1_1(a28)
=> ( ~ c1_2(a28,X19)
| ~ c8_2(a28,X19)
| c5_2(a28,X19) ) ) )
| ~ c8_0 )
& ( c10_0
| ~ c7_0
| c8_0 )
& ( ~ c6_0
| c7_0
| ~ c2_0 )
& ( c10_0
| c8_0
| ! [X20] :
( ndr1_0
=> ( c8_1(X20)
| ~ c6_1(X20)
| ! [X21] :
( ndr1_1(X20)
=> ( ~ c4_2(X20,X21)
| ~ c7_2(X20,X21) ) ) ) ) )
& ( ~ c10_0
| ~ c5_0
| ( ndr1_0
& ~ c7_1(a29)
& c9_1(a29)
& ndr1_1(a29)
& c8_2(a29,a30)
& ~ c5_2(a29,a30)
& ~ c4_2(a29,a30) ) )
& ( c5_0
| c10_0 )
& ( ( ndr1_0
& ndr1_1(a31)
& ~ c7_2(a31,a32)
& c3_2(a31,a32)
& c8_2(a31,a32)
& ~ c5_1(a31)
& ! [X22] :
( ndr1_1(a31)
=> ( ~ c2_2(a31,X22)
| c1_2(a31,X22)
| c6_2(a31,X22) ) ) )
| ( ndr1_0
& c3_1(a33)
& ndr1_1(a33)
& ~ c6_2(a33,a34)
& c10_2(a33,a34)
& ~ c5_2(a33,a34)
& c6_1(a33) )
| ( ndr1_0
& ~ c8_1(a35)
& c2_1(a35)
& ndr1_1(a35)
& ~ c4_2(a35,a36)
& c7_2(a35,a36)
& c8_2(a35,a36) ) )
& ( ( ndr1_0
& ndr1_1(a37)
& c4_2(a37,a38)
& c6_2(a37,a38)
& ~ c3_2(a37,a38)
& ! [X23] :
( ndr1_1(a37)
=> ( ~ c7_2(a37,X23)
| c10_2(a37,X23) ) )
& ~ c5_1(a37) )
| ! [X24] :
( ndr1_0
=> ( ! [X25] :
( ndr1_1(X24)
=> ( ~ c2_2(X24,X25)
| c10_2(X24,X25)
| ~ c5_2(X24,X25) ) )
| ( ndr1_1(X24)
& c2_2(X24,a39)
& ~ c9_2(X24,a39)
& ~ c3_2(X24,a39) )
| ! [X26] :
( ndr1_1(X24)
=> ( ~ c4_2(X24,X26)
| c5_2(X24,X26)
| c3_2(X24,X26) ) ) ) )
| ! [X27] :
( ndr1_0
=> ( ( ndr1_1(X27)
& ~ c3_2(X27,a40)
& ~ c4_2(X27,a40)
& c9_2(X27,a40) )
| ! [X28] :
( ndr1_1(X27)
=> ( ~ c8_2(X27,X28)
| ~ c6_2(X27,X28)
| ~ c3_2(X27,X28) ) )
| ! [X29] :
( ndr1_1(X27)
=> ( ~ c9_2(X27,X29)
| ~ c2_2(X27,X29)
| c7_2(X27,X29) ) ) ) ) )
& ( c9_0
| ( ndr1_0
& ! [X30] :
( ndr1_1(a41)
=> ( c8_2(a41,X30)
| c3_2(a41,X30)
| c6_2(a41,X30) ) )
& ~ c10_1(a41) )
| ! [X31] :
( ndr1_0
=> ( ( ndr1_1(X31)
& c5_2(X31,a42)
& c4_2(X31,a42)
& ~ c10_2(X31,a42) )
| ! [X32] :
( ndr1_1(X31)
=> ( c2_2(X31,X32)
| ~ c7_2(X31,X32)
| c3_2(X31,X32) ) )
| ! [X33] :
( ndr1_1(X31)
=> ( ~ c9_2(X31,X33)
| ~ c8_2(X31,X33) ) ) ) ) )
& ( ~ c5_0
| ! [X34] :
( ndr1_0
=> ( ( ndr1_1(X34)
& c1_2(X34,a43)
& ~ c8_2(X34,a43)
& c10_2(X34,a43) )
| ! [X35] :
( ndr1_1(X34)
=> ( ~ c3_2(X34,X35)
| c4_2(X34,X35)
| c2_2(X34,X35) ) )
| ! [X36] :
( ndr1_1(X34)
=> ( ~ c4_2(X34,X36)
| ~ c9_2(X34,X36)
| ~ c3_2(X34,X36) ) ) ) )
| c3_0 )
& ( ~ c10_0
| ( ndr1_0
& ! [X37] :
( ndr1_1(a44)
=> ( ~ c5_2(a44,X37)
| c4_2(a44,X37)
| c3_2(a44,X37) ) )
& c4_1(a44)
& c3_1(a44) )
| ~ c1_0 )
& ( ! [X38] :
( ndr1_0
=> ( ~ c8_1(X38)
| c1_1(X38) ) )
| ( ndr1_0
& ndr1_1(a45)
& ~ c10_2(a45,a46)
& ~ c8_2(a45,a46)
& ~ c4_2(a45,a46)
& ndr1_1(a45)
& c3_2(a45,a47)
& ~ c4_2(a45,a47)
& ~ c1_2(a45,a47)
& ndr1_1(a45)
& c7_2(a45,a48)
& ~ c2_2(a45,a48)
& c9_2(a45,a48) )
| ! [X39] :
( ndr1_0
=> ( c1_1(X39)
| ( ndr1_1(X39)
& c5_2(X39,a49)
& ~ c3_2(X39,a49)
& c7_2(X39,a49) )
| ( ndr1_1(X39)
& c1_2(X39,a50)
& c8_2(X39,a50)
& c10_2(X39,a50) ) ) ) )
& ( ! [X40] :
( ndr1_0
=> ( c10_1(X40)
| ~ c4_1(X40) ) )
| ! [X41] :
( ndr1_0
=> ( c3_1(X41)
| ~ c8_1(X41)
| ~ c2_1(X41) ) )
| c2_0 )
& ( ! [X42] :
( ndr1_0
=> ( ! [X43] :
( ndr1_1(X42)
=> ( c6_2(X42,X43)
| ~ c7_2(X42,X43)
| c1_2(X42,X43) ) )
| c10_1(X42) ) )
| c8_0 )
& ( ~ c7_0
| ~ c9_0
| c4_0 )
& ( ~ c6_0
| ( ndr1_0
& ! [X44] :
( ndr1_1(a51)
=> ( ~ c9_2(a51,X44)
| ~ c1_2(a51,X44)
| ~ c4_2(a51,X44) ) )
& c6_1(a51)
& c2_1(a51) )
| c4_0 )
& ( ~ c10_0
| c3_0
| ! [X45] :
( ndr1_0
=> ( ! [X46] :
( ndr1_1(X45)
=> ( c10_2(X45,X46)
| ~ c7_2(X45,X46) ) )
| c10_1(X45)
| ( ndr1_1(X45)
& c8_2(X45,a52)
& ~ c9_2(X45,a52)
& c3_2(X45,a52) ) ) ) )
& ( ~ c1_0
| ~ c5_0
| ( ndr1_0
& ! [X47] :
( ndr1_1(a53)
=> ( c1_2(a53,X47)
| ~ c3_2(a53,X47)
| c6_2(a53,X47) ) )
& ndr1_1(a53)
& ~ c3_2(a53,a54)
& c9_2(a53,a54)
& ! [X48] :
( ndr1_1(a53)
=> ( c4_2(a53,X48)
| ~ c10_2(a53,X48)
| c7_2(a53,X48) ) ) ) )
& ( ( ndr1_0
& ~ c6_1(a55)
& ~ c10_1(a55) )
| ( ndr1_0
& ~ c1_1(a56)
& ~ c8_1(a56) )
| ! [X49] :
( ndr1_0
=> ( c6_1(X49)
| ! [X50] :
( ndr1_1(X49)
=> ( c2_2(X49,X50)
| c6_2(X49,X50)
| c4_2(X49,X50) ) )
| c1_1(X49) ) ) )
& ( ~ c6_0
| ~ c5_0
| ! [X51] :
( ndr1_0
=> ( c10_1(X51)
| c4_1(X51) ) ) )
& ( c4_0
| c6_0
| c2_0 )
& ( ~ c2_0
| ! [X52] :
( ndr1_0
=> ( c9_1(X52)
| ( ndr1_1(X52)
& ~ c5_2(X52,a57)
& c7_2(X52,a57)
& ~ c4_2(X52,a57) )
| ( ndr1_1(X52)
& c3_2(X52,a58)
& ~ c4_2(X52,a58)
& c2_2(X52,a58) ) ) )
| ( ndr1_0
& ! [X53] :
( ndr1_1(a59)
=> ( ~ c7_2(a59,X53)
| c8_2(a59,X53)
| c9_2(a59,X53) ) )
& ~ c9_1(a59) ) )
& ( ! [X54] :
( ndr1_0
=> ( ~ c3_1(X54)
| c8_1(X54) ) )
| ! [X55] :
( ndr1_0
=> ( ! [X56] :
( ndr1_1(X55)
=> ( c7_2(X55,X56)
| c5_2(X55,X56)
| ~ c1_2(X55,X56) ) )
| ( ndr1_1(X55)
& c7_2(X55,a60)
& ~ c9_2(X55,a60)
& c5_2(X55,a60) )
| ( ndr1_1(X55)
& c9_2(X55,a61)
& ~ c5_2(X55,a61) ) ) )
| ! [X57] :
( ndr1_0
=> ( ( ndr1_1(X57)
& ~ c9_2(X57,a62)
& c3_2(X57,a62)
& c5_2(X57,a62) )
| ( ndr1_1(X57)
& ~ c7_2(X57,a63)
& ~ c8_2(X57,a63)
& c3_2(X57,a63) )
| ~ c5_1(X57) ) ) )
& ( ! [X58] :
( ndr1_0
=> ( ( ndr1_1(X58)
& ~ c6_2(X58,a64)
& ~ c9_2(X58,a64) )
| ( ndr1_1(X58)
& c4_2(X58,a65)
& c5_2(X58,a65)
& ~ c6_2(X58,a65) )
| ~ c4_1(X58) ) )
| ~ c3_0
| ~ c10_0 )
& ( ( ndr1_0
& ! [X59] :
( ndr1_1(a66)
=> ( c3_2(a66,X59)
| c1_2(a66,X59) ) )
& ~ c9_1(a66)
& c4_1(a66) )
| ! [X60] :
( ndr1_0
=> ( ~ c10_1(X60)
| ~ c8_1(X60)
| ( ndr1_1(X60)
& c4_2(X60,a67)
& ~ c2_2(X60,a67)
& ~ c1_2(X60,a67) ) ) )
| c7_0 )
& ( c3_0
| ( ndr1_0
& c2_1(a68)
& ndr1_1(a68)
& ~ c3_2(a68,a69)
& ~ c5_2(a68,a69)
& ~ c7_2(a68,a69)
& c4_1(a68) )
| ! [X61] :
( ndr1_0
=> ( ( ndr1_1(X61)
& ~ c5_2(X61,a70)
& ~ c4_2(X61,a70)
& ~ c3_2(X61,a70) )
| ! [X62] :
( ndr1_1(X61)
=> ( ~ c5_2(X61,X62)
| c3_2(X61,X62)
| c2_2(X61,X62) ) )
| ~ c1_1(X61) ) ) )
& ( ! [X63] :
( ndr1_0
=> ( ! [X64] :
( ndr1_1(X63)
=> ( c2_2(X63,X64)
| ~ c7_2(X63,X64)
| ~ c3_2(X63,X64) ) )
| c5_1(X63)
| ! [X65] :
( ndr1_1(X63)
=> ( c1_2(X63,X65)
| ~ c8_2(X63,X65)
| ~ c5_2(X63,X65) ) ) ) )
| ! [X66] :
( ndr1_0
=> ( c1_1(X66)
| ! [X67] :
( ndr1_1(X66)
=> ( ~ c8_2(X66,X67)
| c10_2(X66,X67)
| ~ c7_2(X66,X67) ) )
| c10_1(X66) ) )
| ( ndr1_0
& ndr1_1(a71)
& c4_2(a71,a72)
& ~ c10_2(a71,a72)
& c7_2(a71,a72)
& ~ c8_1(a71)
& ~ c2_1(a71) ) )
& ( ( ndr1_0
& ! [X68] :
( ndr1_1(a73)
=> ( c5_2(a73,X68)
| ~ c10_2(a73,X68)
| ~ c7_2(a73,X68) ) )
& ~ c4_1(a73)
& ~ c7_1(a73) )
| ! [X69] :
( ndr1_0
=> ( ! [X70] :
( ndr1_1(X69)
=> ( c9_2(X69,X70)
| c2_2(X69,X70)
| ~ c8_2(X69,X70) ) )
| c8_1(X69)
| ! [X71] :
( ndr1_1(X69)
=> ( c7_2(X69,X71)
| c6_2(X69,X71)
| ~ c5_2(X69,X71) ) ) ) ) )
& ( c8_0
| c7_0
| c4_0 )
& ( c8_0
| ! [X72] :
( ndr1_0
=> ( ! [X73] :
( ndr1_1(X72)
=> ( ~ c10_2(X72,X73)
| c6_2(X72,X73)
| ~ c1_2(X72,X73) ) )
| ~ c1_1(X72) ) )
| ! [X74] :
( ndr1_0
=> ( ndr1_1(X74)
& ~ c2_2(X74,a74)
& ~ c8_2(X74,a74)
& c3_2(X74,a74) ) ) )
& ( ~ c10_0
| ( ndr1_0
& ! [X75] :
( ndr1_1(a75)
=> ( ~ c5_2(a75,X75)
| ~ c6_2(a75,X75)
| c4_2(a75,X75) ) )
& ~ c9_1(a75)
& ~ c2_1(a75) )
| ! [X76] :
( ndr1_0
=> ( ~ c5_1(X76)
| ( ndr1_1(X76)
& c7_2(X76,a76)
& c6_2(X76,a76)
& c8_2(X76,a76) )
| ! [X77] :
( ndr1_1(X76)
=> ( c7_2(X76,X77)
| ~ c5_2(X76,X77)
| ~ c1_2(X76,X77) ) ) ) ) )
& ( c4_0
| c1_0
| ( ndr1_0
& ~ c2_1(a77)
& ndr1_1(a77)
& ~ c1_2(a77,a78)
& ~ c8_2(a77,a78)
& c5_2(a77,a78)
& c4_1(a77) ) )
& ( ~ c7_0
| ! [X78] :
( ndr1_0
=> ( c7_1(X78)
| ( ndr1_1(X78)
& ~ c8_2(X78,a79)
& c2_2(X78,a79) )
| ( ndr1_1(X78)
& c10_2(X78,a80)
& ~ c4_2(X78,a80)
& c3_2(X78,a80) ) ) ) )
& ( c2_0
| c10_0 )
& ( c9_0
| ! [X79] :
( ndr1_0
=> ( ! [X80] :
( ndr1_1(X79)
=> ( ~ c5_2(X79,X80)
| c8_2(X79,X80)
| ~ c3_2(X79,X80) ) )
| c10_1(X79)
| c7_1(X79) ) )
| ( ndr1_0
& ~ c1_1(a81)
& ~ c9_1(a81)
& ndr1_1(a81)
& ~ c10_2(a81,a82)
& c3_2(a81,a82)
& ~ c1_2(a81,a82) ) )
& ( ! [X81] :
( ndr1_0
=> ( ! [X82] :
( ndr1_1(X81)
=> ( ~ c2_2(X81,X82)
| ~ c3_2(X81,X82)
| ~ c5_2(X81,X82) ) )
| ( ndr1_1(X81)
& c6_2(X81,a83) )
| ~ c3_1(X81) ) )
| c3_0
| c5_0 )
& ( ! [X83] :
( ndr1_0
=> ( ( ndr1_1(X83)
& c9_2(X83,a84)
& c5_2(X83,a84)
& ~ c8_2(X83,a84) )
| ( ndr1_1(X83)
& c6_2(X83,a85)
& c3_2(X83,a85)
& ~ c9_2(X83,a85) )
| ( ndr1_1(X83)
& ~ c10_2(X83,a86)
& ~ c2_2(X83,a86)
& ~ c8_2(X83,a86) ) ) )
| c2_0
| c3_0 )
& ( ( ndr1_0
& ndr1_1(a87)
& ~ c6_2(a87,a88)
& ~ c9_2(a87,a88)
& ! [X84] :
( ndr1_1(a87)
=> ( ~ c1_2(a87,X84)
| c6_2(a87,X84)
| ~ c5_2(a87,X84) ) )
& ~ c1_1(a87) )
| ! [X85] :
( ndr1_0
=> ( ( ndr1_1(X85)
& ~ c9_2(X85,a89)
& c10_2(X85,a89)
& c4_2(X85,a89) )
| c4_1(X85)
| ~ c6_1(X85) ) )
| c4_0 )
& ( ~ c8_0
| ( ndr1_0
& ndr1_1(a90)
& ~ c2_2(a90,a91)
& c4_2(a90,a91)
& c7_2(a90,a91)
& ~ c4_1(a90) )
| ! [X86] :
( ndr1_0
=> ( ~ c8_1(X86)
| ( ndr1_1(X86)
& c8_2(X86,a92)
& c9_2(X86,a92)
& c10_2(X86,a92) )
| ! [X87] :
( ndr1_1(X86)
=> ( ~ c4_2(X86,X87)
| ~ c6_2(X86,X87)
| ~ c8_2(X86,X87) ) ) ) ) )
& ( ( ndr1_0
& ndr1_1(a93)
& c4_2(a93,a94)
& ~ c7_2(a93,a94)
& ~ c2_2(a93,a94)
& ~ c8_1(a93)
& ~ c2_1(a93) )
| c7_0
| c1_0 )
& ( ~ c4_0
| ( ndr1_0
& ndr1_1(a95)
& c8_2(a95,a96)
& ~ c2_2(a95,a96)
& ~ c4_2(a95,a96)
& c4_1(a95) )
| ~ c3_0 )
& ( ( ndr1_0
& ! [X88] :
( ndr1_1(a97)
=> ( c9_2(a97,X88)
| ~ c6_2(a97,X88) ) )
& c8_1(a97)
& c5_1(a97) )
| c8_0
| ( ndr1_0
& ndr1_1(a98)
& c1_2(a98,a99)
& ~ c6_2(a98,a99)
& c9_2(a98,a99)
& ~ c8_1(a98)
& c2_1(a98) ) )
& ( c4_0
| ( ndr1_0
& ! [X89] :
( ndr1_1(a100)
=> ( c2_2(a100,X89)
| ~ c3_2(a100,X89)
| ~ c7_2(a100,X89) ) )
& c9_1(a100)
& ndr1_1(a100)
& ~ c6_2(a100,a101)
& ~ c5_2(a100,a101)
& c9_2(a100,a101) )
| ( ndr1_0
& c10_1(a102)
& ndr1_1(a102)
& ~ c2_2(a102,a103)
& ~ c4_2(a102,a103)
& ~ c6_2(a102,a103)
& c4_1(a102) ) )
& ( ~ c6_0
| ! [X90] :
( ndr1_0
=> ( ! [X91] :
( ndr1_1(X90)
=> ( c3_2(X90,X91)
| c10_2(X90,X91)
| ~ c5_2(X90,X91) ) )
| c9_1(X90)
| ~ c5_1(X90) ) )
| ! [X92] :
( ndr1_0
=> ( ~ c6_1(X92)
| ( ndr1_1(X92)
& ~ c4_2(X92,a104)
& ~ c1_2(X92,a104)
& c8_2(X92,a104) )
| ! [X93] :
( ndr1_1(X92)
=> ( ~ c1_2(X92,X93)
| c4_2(X92,X93) ) ) ) ) )
& ( ( ndr1_0
& ndr1_1(a105)
& ~ c6_2(a105,a106)
& c4_2(a105,a106)
& ~ c2_2(a105,a106)
& ndr1_1(a105)
& ~ c9_2(a105,a107)
& c6_2(a105,a107)
& ~ c5_2(a105,a107)
& c7_1(a105) )
| c2_0
| ( ndr1_0
& ndr1_1(a108)
& ~ c7_2(a108,a109)
& c1_2(a108,a109)
& ~ c2_2(a108,a109)
& ! [X94] :
( ndr1_1(a108)
=> ( ~ c2_2(a108,X94)
| ~ c7_2(a108,X94) ) )
& ndr1_1(a108)
& c3_2(a108,a110)
& ~ c2_2(a108,a110) ) )
& ( ~ c8_0
| ~ c5_0
| ! [X95] :
( ndr1_0
=> ( ~ c8_1(X95)
| c5_1(X95)
| c7_1(X95) ) ) )
& ( ! [X96] :
( ndr1_0
=> ( ! [X97] :
( ndr1_1(X96)
=> ( c9_2(X96,X97)
| c6_2(X96,X97)
| ~ c8_2(X96,X97) ) )
| ! [X98] :
( ndr1_1(X96)
=> ( ~ c3_2(X96,X98)
| c8_2(X96,X98)
| c7_2(X96,X98) ) )
| ~ c7_1(X96) ) )
| ~ c4_0 )
& ( ! [X99] :
( ndr1_0
=> ( ~ c3_1(X99)
| c8_1(X99)
| ! [X100] :
( ndr1_1(X99)
=> ( ~ c7_2(X99,X100)
| ~ c3_2(X99,X100)
| ~ c6_2(X99,X100) ) ) ) )
| c3_0
| c1_0 )
& ( ~ c1_0
| ! [X101] :
( ndr1_0
=> ( ( ndr1_1(X101)
& c5_2(X101,a111)
& c4_2(X101,a111)
& ~ c3_2(X101,a111) )
| ! [X102] :
( ndr1_1(X101)
=> ( c10_2(X101,X102)
| ~ c4_2(X101,X102)
| c8_2(X101,X102) ) ) ) )
| ( ndr1_0
& c6_1(a112)
& ~ c3_1(a112)
& ndr1_1(a112)
& ~ c4_2(a112,a113)
& ~ c9_2(a112,a113) ) )
& ( ~ c10_0
| ( ndr1_0
& ~ c1_1(a114)
& ndr1_1(a114)
& ~ c5_2(a114,a115)
& c2_2(a114,a115)
& ~ c4_2(a114,a115)
& ! [X103] :
( ndr1_1(a114)
=> ( c10_2(a114,X103)
| ~ c8_2(a114,X103)
| c1_2(a114,X103) ) ) )
| c2_0 )
& ( ~ c9_0
| c8_0
| ( ndr1_0
& ndr1_1(a116)
& ~ c10_2(a116,a117)
& c3_2(a116,a117)
& ~ c7_1(a116) ) )
& ( ! [X104] :
( ndr1_0
=> ( ( ndr1_1(X104)
& ~ c2_2(X104,a118)
& ~ c9_2(X104,a118)
& c5_2(X104,a118) )
| ~ c4_1(X104)
| ~ c2_1(X104) ) )
| ( ndr1_0
& ~ c6_1(a119)
& c10_1(a119)
& ndr1_1(a119)
& ~ c1_2(a119,a120)
& c5_2(a119,a120) )
| c6_0 )
& ( ( ndr1_0
& ~ c9_1(a121)
& ~ c6_1(a121)
& ~ c10_1(a121) )
| c3_0
| ( ndr1_0
& c9_1(a122)
& c4_1(a122)
& ! [X105] :
( ndr1_1(a122)
=> ( c10_2(a122,X105)
| c3_2(a122,X105)
| c1_2(a122,X105) ) ) ) )
& ( ~ c4_0
| ~ c10_0
| ~ c2_0 )
& ( ! [X106] :
( ndr1_0
=> ( ! [X107] :
( ndr1_1(X106)
=> ( ~ c2_2(X106,X107)
| c4_2(X106,X107)
| c10_2(X106,X107) ) )
| c7_1(X106)
| c5_1(X106) ) )
| ~ c8_0
| ~ c1_0 )
& ( ( ndr1_0
& ndr1_1(a123)
& c2_2(a123,a124)
& ~ c4_2(a123,a124)
& ~ c9_2(a123,a124)
& ndr1_1(a123)
& ~ c9_2(a123,a125)
& c3_2(a123,a125)
& ~ c4_2(a123,a125)
& ~ c9_1(a123) )
| c10_0
| ( ndr1_0
& c4_1(a126)
& c6_1(a126) ) )
& ( ! [X108] :
( ndr1_0
=> ( c7_1(X108)
| c3_1(X108)
| ~ c1_1(X108) ) )
| c6_0
| ~ c4_0 )
& ( ( ndr1_0
& c4_1(a127)
& ~ c2_1(a127)
& ! [X109] :
( ndr1_1(a127)
=> ( ~ c7_2(a127,X109)
| c10_2(a127,X109)
| ~ c4_2(a127,X109) ) ) )
| ~ c1_0
| c3_0 )
& ( ( ndr1_0
& ! [X110] :
( ndr1_1(a128)
=> ( ~ c1_2(a128,X110)
| ~ c4_2(a128,X110)
| c6_2(a128,X110) ) )
& ~ c1_1(a128)
& ~ c4_1(a128) )
| c5_0
| ~ c9_0 )
& ( ! [X111] :
( ndr1_0
=> ( ! [X112] :
( ndr1_1(X111)
=> ( ~ c9_2(X111,X112)
| c1_2(X111,X112)
| c2_2(X111,X112) ) )
| c4_1(X111)
| ! [X113] :
( ndr1_1(X111)
=> ( c8_2(X111,X113)
| ~ c9_2(X111,X113)
| c7_2(X111,X113) ) ) ) )
| ! [X114] :
( ndr1_0
=> ( c1_1(X114)
| c5_1(X114) ) )
| ! [X115] :
( ndr1_0
=> ( ! [X116] :
( ndr1_1(X115)
=> ( c9_2(X115,X116)
| c7_2(X115,X116)
| c4_2(X115,X116) ) )
| ~ c9_1(X115)
| ( ndr1_1(X115)
& ~ c5_2(X115,a129)
& c6_2(X115,a129)
& c1_2(X115,a129) ) ) ) )
& ( c9_0
| ! [X117] :
( ndr1_0
=> ( c5_1(X117)
| ( ndr1_1(X117)
& ~ c7_2(X117,a130)
& c1_2(X117,a130) )
| ! [X118] :
( ndr1_1(X117)
=> ( c8_2(X117,X118)
| c10_2(X117,X118)
| ~ c6_2(X117,X118) ) ) ) )
| c2_0 )
& ( ! [X119] :
( ndr1_0
=> ( ! [X120] :
( ndr1_1(X119)
=> ( ~ c7_2(X119,X120)
| c9_2(X119,X120)
| ~ c6_2(X119,X120) ) )
| ! [X121] :
( ndr1_1(X119)
=> ( ~ c6_2(X119,X121)
| c9_2(X119,X121)
| c2_2(X119,X121) ) )
| ( ndr1_1(X119)
& ~ c10_2(X119,a131)
& ~ c1_2(X119,a131)
& c2_2(X119,a131) ) ) )
| ! [X122] :
( ndr1_0
=> ( ~ c3_1(X122)
| ( ndr1_1(X122)
& ~ c4_2(X122,a132)
& ~ c8_2(X122,a132)
& c5_2(X122,a132) ) ) )
| ! [X123] :
( ndr1_0
=> ( ~ c6_1(X123)
| ( ndr1_1(X123)
& ~ c4_2(X123,a133)
& c7_2(X123,a133)
& ~ c8_2(X123,a133) )
| ~ c10_1(X123) ) ) )
& ( ~ c1_0
| ~ c10_0
| ( ndr1_0
& ! [X124] :
( ndr1_1(a134)
=> ( ~ c7_2(a134,X124)
| ~ c2_2(a134,X124)
| ~ c5_2(a134,X124) ) )
& c10_1(a134)
& ndr1_1(a134)
& ~ c8_2(a134,a135)
& ~ c6_2(a134,a135)
& c3_2(a134,a135) ) )
& ( ( ndr1_0
& c7_1(a136)
& ndr1_1(a136)
& c2_2(a136,a137)
& ~ c5_2(a136,a137)
& ~ c10_2(a136,a137)
& ~ c8_1(a136) )
| ~ c8_0
| ~ c2_0 )
& ( c10_0
| ! [X125] :
( ndr1_0
=> ( ~ c4_1(X125)
| c5_1(X125)
| ( ndr1_1(X125)
& ~ c6_2(X125,a138)
& c4_2(X125,a138)
& ~ c1_2(X125,a138) ) ) )
| ( ndr1_0
& ~ c2_1(a139)
& ndr1_1(a139)
& c9_2(a139,a140)
& ~ c3_2(a139,a140)
& ~ c8_2(a139,a140)
& ndr1_1(a139)
& c1_2(a139,a141)
& ~ c9_2(a139,a141) ) )
& ( ! [X126] :
( ndr1_0
=> ( c3_1(X126)
| ~ c4_1(X126) ) )
| ! [X127] :
( ndr1_0
=> ( c1_1(X127)
| ~ c3_1(X127)
| ( ndr1_1(X127)
& c7_2(X127,a142)
& ~ c6_2(X127,a142)
& ~ c9_2(X127,a142) ) ) )
| c8_0 )
& ( c10_0
| c4_0
| ( ndr1_0
& ndr1_1(a143)
& c9_2(a143,a144)
& ~ c5_2(a143,a144)
& ~ c10_2(a143,a144)
& c1_1(a143) ) )
& ( c9_0
| ! [X128] :
( ndr1_0
=> ( ! [X129] :
( ndr1_1(X128)
=> ( c2_2(X128,X129)
| ~ c8_2(X128,X129)
| c7_2(X128,X129) ) )
| ~ c8_1(X128)
| ~ c4_1(X128) ) )
| ~ c6_0 )
& ( ~ c2_0
| c1_0
| c3_0 )
& ( ! [X130] :
( ndr1_0
=> ( ! [X131] :
( ndr1_1(X130)
=> ( c7_2(X130,X131)
| ~ c6_2(X130,X131)
| c8_2(X130,X131) ) )
| c7_1(X130) ) )
| ! [X132] :
( ndr1_0
=> ( ! [X133] :
( ndr1_1(X132)
=> ( c8_2(X132,X133)
| c7_2(X132,X133)
| ~ c3_2(X132,X133) ) )
| c2_1(X132) ) )
| c2_0 )
& ( ! [X134] :
( ndr1_0
=> ( c6_1(X134)
| c7_1(X134) ) )
| ! [X135] :
( ndr1_0
=> ( c9_1(X135)
| ( ndr1_1(X135)
& c3_2(X135,a145)
& c1_2(X135,a145)
& ~ c5_2(X135,a145) )
| ~ c1_1(X135) ) )
| ! [X136] :
( ndr1_0
=> ( ( ndr1_1(X136)
& ~ c9_2(X136,a146)
& ~ c1_2(X136,a146)
& c7_2(X136,a146) )
| ~ c7_1(X136)
| ~ c10_1(X136) ) ) )
& ( ! [X137] :
( ndr1_0
=> ( c5_1(X137)
| ! [X138] :
( ndr1_1(X137)
=> ( c8_2(X137,X138)
| c6_2(X137,X138)
| ~ c2_2(X137,X138) ) )
| ~ c1_1(X137) ) )
| ! [X139] :
( ndr1_0
=> ( ! [X140] :
( ndr1_1(X139)
=> ( ~ c1_2(X139,X140)
| ~ c2_2(X139,X140)
| ~ c7_2(X139,X140) ) )
| ! [X141] :
( ndr1_1(X139)
=> ( ~ c7_2(X139,X141)
| c10_2(X139,X141)
| c2_2(X139,X141) ) )
| c3_1(X139) ) )
| c5_0 ) ) ).
%--------------------------------------------------------------------------