TPTP Problem File: SYN544+1.p
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- Solve Problem
%--------------------------------------------------------------------------
% File : SYN544+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=027
% 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-8-1-120-3-2-027.dfg [Wei97]
% Status : CounterSatisfiable
% Rating : 0.00 v6.0.0, 0.17 v5.5.0, 0.20 v5.3.0, 0.00 v4.1.0, 0.33 v3.7.0, 0.00 v3.5.0, 0.25 v3.4.0, 0.00 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 v2.1.0
% Syntax : Number of formulae : 1 ( 0 unt; 0 def)
% Number of atoms : 1105 ( 0 equ)
% Maximal formula atoms : 1105 (1105 avg)
% Number of connectives : 1494 ( 390 ~; 443 |; 501 &)
% ( 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 : 146 ( 146 usr; 146 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
=> ( ~ c7_1(U)
| ~ c5_1(U)
| c2_1(U) ) )
| ! [V] :
( ndr1_0
=> ( ( ndr1_1(V)
& ~ c4_2(V,a1)
& ~ c1_2(V,a1) )
| ( ndr1_1(V)
& ~ c1_2(V,a2)
& c7_2(V,a2)
& c4_2(V,a2) )
| ( ndr1_1(V)
& ~ c7_2(V,a3)
& c6_2(V,a3) ) ) )
| ~ c5_0 )
& ( ! [W] :
( ndr1_0
=> ( ~ c1_1(W)
| ( ndr1_1(W)
& ~ c4_2(W,a4)
& ~ c3_2(W,a4)
& ~ c7_2(W,a4) )
| ( ndr1_1(W)
& ~ c4_2(W,a5)
& c3_2(W,a5)
& ~ c5_2(W,a5) ) ) )
| ! [X] :
( ndr1_0
=> ( ! [Y] :
( ndr1_1(X)
=> ( ~ c2_2(X,Y)
| ~ c4_2(X,Y)
| ~ c5_2(X,Y) ) )
| ~ c1_1(X)
| c2_1(X) ) )
| ~ c8_0 )
& ( c5_0
| ! [Z] :
( ndr1_0
=> ( ( ndr1_1(Z)
& c2_2(Z,a6)
& ~ c7_2(Z,a6)
& c8_2(Z,a6) )
| ~ c2_1(Z)
| ~ c3_1(Z) ) )
| ! [X1] :
( ndr1_0
=> ( ( ndr1_1(X1)
& c1_2(X1,a7)
& c6_2(X1,a7)
& c3_2(X1,a7) )
| ~ c8_1(X1)
| ! [X2] :
( ndr1_1(X1)
=> ( ~ c2_2(X1,X2)
| c4_2(X1,X2)
| c3_2(X1,X2) ) ) ) ) )
& ( ~ c2_0
| ! [X3] :
( ndr1_0
=> ( ~ c5_1(X3)
| ( ndr1_1(X3)
& ~ c4_2(X3,a8)
& c2_2(X3,a8) ) ) )
| ( ndr1_0
& c4_1(a9)
& ! [X4] :
( ndr1_1(a9)
=> ( ~ c1_2(a9,X4)
| ~ c5_2(a9,X4)
| ~ c4_2(a9,X4) ) )
& c3_1(a9) ) )
& ( ! [X5] :
( ndr1_0
=> ( ! [X6] :
( ndr1_1(X5)
=> ( ~ c8_2(X5,X6)
| c7_2(X5,X6) ) )
| c7_1(X5)
| ! [X7] :
( ndr1_1(X5)
=> ( ~ c8_2(X5,X7)
| ~ c2_2(X5,X7)
| ~ c4_2(X5,X7) ) ) ) )
| c1_0
| c2_0 )
& ( ! [X8] :
( ndr1_0
=> ( ~ c4_1(X8)
| ! [X9] :
( ndr1_1(X8)
=> ( c6_2(X8,X9)
| ~ c2_2(X8,X9) ) )
| ~ c5_1(X8) ) )
| ~ c8_0
| ~ c4_0 )
& ( ! [X10] :
( ndr1_0
=> ( ( ndr1_1(X10)
& ~ c5_2(X10,a10)
& c7_2(X10,a10)
& ~ c6_2(X10,a10) )
| ! [X11] :
( ndr1_1(X10)
=> ( c3_2(X10,X11)
| c2_2(X10,X11)
| ~ c1_2(X10,X11) ) )
| ~ c1_1(X10) ) )
| ( ndr1_0
& ~ c8_1(a11)
& ndr1_1(a11)
& ~ c3_2(a11,a12)
& c5_2(a11,a12)
& ~ c6_2(a11,a12) )
| c7_0 )
& ( ! [X12] :
( ndr1_0
=> ( ! [X13] :
( ndr1_1(X12)
=> ( c5_2(X12,X13)
| c1_2(X12,X13) ) )
| ~ c1_1(X12)
| ( ndr1_1(X12)
& ~ c2_2(X12,a13)
& ~ c8_2(X12,a13)
& c6_2(X12,a13) ) ) )
| ( ndr1_0
& ~ c2_1(a14)
& ndr1_1(a14)
& c6_2(a14,a15)
& c3_2(a14,a15)
& ~ c7_2(a14,a15)
& ~ c7_1(a14) )
| ~ c3_0 )
& ( c2_0
| ~ c8_0
| ( ndr1_0
& ~ c2_1(a16)
& ~ c8_1(a16)
& c1_1(a16) ) )
& ( c7_0
| c2_0
| ! [X14] :
( ndr1_0
=> ( ( ndr1_1(X14)
& ~ c6_2(X14,a17)
& c5_2(X14,a17)
& c3_2(X14,a17) )
| c8_1(X14)
| ~ c5_1(X14) ) ) )
& ( ~ c5_0
| ! [X15] :
( ndr1_0
=> ( c1_1(X15)
| ! [X16] :
( ndr1_1(X15)
=> ( c7_2(X15,X16)
| ~ c2_2(X15,X16) ) )
| ! [X17] :
( ndr1_1(X15)
=> ( c5_2(X15,X17)
| ~ c2_2(X15,X17)
| c8_2(X15,X17) ) ) ) )
| c2_0 )
& ( ~ c6_0
| ! [X18] :
( ndr1_0
=> ( ! [X19] :
( ndr1_1(X18)
=> ( ~ c1_2(X18,X19)
| ~ c7_2(X18,X19)
| c2_2(X18,X19) ) )
| c2_1(X18)
| c3_1(X18) ) )
| ( ndr1_0
& c6_1(a18)
& c1_1(a18) ) )
& ( ~ c1_0
| ( ndr1_0
& ! [X20] :
( ndr1_1(a19)
=> ( c6_2(a19,X20)
| c8_2(a19,X20)
| c3_2(a19,X20) ) )
& ndr1_1(a19)
& c4_2(a19,a20)
& ~ c7_2(a19,a20)
& ~ c3_2(a19,a20)
& ndr1_1(a19)
& ~ c5_2(a19,a21)
& c3_2(a19,a21)
& c7_2(a19,a21) )
| ~ c2_0 )
& ( ! [X21] :
( ndr1_0
=> ( ( ndr1_1(X21)
& ~ c7_2(X21,a22)
& ~ c6_2(X21,a22) )
| ( ndr1_1(X21)
& ~ c6_2(X21,a23)
& ~ c3_2(X21,a23)
& ~ c2_2(X21,a23) )
| ! [X22] :
( ndr1_1(X21)
=> ( ~ c8_2(X21,X22)
| c1_2(X21,X22)
| ~ c5_2(X21,X22) ) ) ) )
| c5_0
| c8_0 )
& ( ( ndr1_0
& ndr1_1(a24)
& ~ c6_2(a24,a25)
& c3_2(a24,a25)
& c1_2(a24,a25)
& ~ c2_1(a24)
& ndr1_1(a24)
& ~ c7_2(a24,a26)
& c2_2(a24,a26)
& ~ c6_2(a24,a26) )
| ( ndr1_0
& c8_1(a27)
& ! [X23] :
( ndr1_1(a27)
=> ( c5_2(a27,X23)
| c8_2(a27,X23)
| ~ c7_2(a27,X23) ) )
& ndr1_1(a27)
& ~ c6_2(a27,a28)
& c2_2(a27,a28)
& ~ c4_2(a27,a28) )
| ( ndr1_0
& ndr1_1(a29)
& c7_2(a29,a30)
& c2_2(a29,a30)
& c1_2(a29,a30)
& ndr1_1(a29)
& c5_2(a29,a31)
& c6_2(a29,a31)
& ! [X24] :
( ndr1_1(a29)
=> ( c1_2(a29,X24)
| ~ c6_2(a29,X24)
| c5_2(a29,X24) ) ) ) )
& ( ( ndr1_0
& ! [X25] :
( ndr1_1(a32)
=> ( c4_2(a32,X25)
| c1_2(a32,X25) ) )
& ! [X26] :
( ndr1_1(a32)
=> ( c6_2(a32,X26)
| c1_2(a32,X26)
| ~ c3_2(a32,X26) ) )
& c2_1(a32) )
| ! [X27] :
( ndr1_0
=> ( c1_1(X27)
| ( ndr1_1(X27)
& c4_2(X27,a33)
& c1_2(X27,a33)
& c3_2(X27,a33) )
| ~ c4_1(X27) ) )
| ~ c1_0 )
& ( ( ndr1_0
& ! [X28] :
( ndr1_1(a34)
=> ~ c7_2(a34,X28) )
& ! [X29] :
( ndr1_1(a34)
=> ( ~ c1_2(a34,X29)
| c2_2(a34,X29)
| c7_2(a34,X29) ) )
& ! [X30] :
( ndr1_1(a34)
=> ( c1_2(a34,X30)
| ~ c8_2(a34,X30)
| c4_2(a34,X30) ) ) )
| c2_0
| c3_0 )
& ( ( ndr1_0
& ! [X31] :
( ndr1_1(a35)
=> ( c8_2(a35,X31)
| ~ c1_2(a35,X31)
| ~ c2_2(a35,X31) ) )
& ndr1_1(a35)
& ~ c2_2(a35,a36)
& ~ c3_2(a35,a36)
& ~ c4_2(a35,a36)
& ~ c4_1(a35) )
| ( ndr1_0
& ~ c6_1(a37)
& ndr1_1(a37)
& c5_2(a37,a38)
& c4_2(a37,a38)
& c3_2(a37,a38)
& ~ c1_1(a37) )
| ( ndr1_0
& ndr1_1(a39)
& c5_2(a39,a40)
& c3_2(a39,a40)
& ~ c4_2(a39,a40)
& ! [X32] :
( ndr1_1(a39)
=> ( ~ c8_2(a39,X32)
| c7_2(a39,X32) ) )
& ndr1_1(a39)
& ~ c5_2(a39,a41)
& c6_2(a39,a41)
& ~ c2_2(a39,a41) ) )
& ( c2_0
| c7_0
| ~ c4_0 )
& ( ~ c8_0
| ! [X33] :
( ndr1_0
=> ( ! [X34] :
( ndr1_1(X33)
=> ( ~ c2_2(X33,X34)
| c3_2(X33,X34)
| ~ c6_2(X33,X34) ) )
| ~ c8_1(X33)
| c7_1(X33) ) )
| ( ndr1_0
& ndr1_1(a42)
& ~ c7_2(a42,a43)
& c8_2(a42,a43)
& ~ c3_2(a42,a43)
& ~ c7_1(a42)
& ! [X35] :
( ndr1_1(a42)
=> ( c1_2(a42,X35)
| ~ c7_2(a42,X35)
| c4_2(a42,X35) ) ) ) )
& ( ( ndr1_0
& ~ c2_1(a44)
& ndr1_1(a44)
& c5_2(a44,a45)
& ~ c8_2(a44,a45)
& ! [X36] :
( ndr1_1(a44)
=> ( ~ c4_2(a44,X36)
| ~ c5_2(a44,X36) ) ) )
| ! [X37] :
( ndr1_0
=> ( ! [X38] :
( ndr1_1(X37)
=> ( c4_2(X37,X38)
| ~ c6_2(X37,X38)
| c5_2(X37,X38) ) )
| ( ndr1_1(X37)
& ~ c8_2(X37,a46)
& ~ c3_2(X37,a46) )
| ~ c7_1(X37) ) )
| ! [X39] :
( ndr1_0
=> ( c3_1(X39)
| ! [X40] :
( ndr1_1(X39)
=> ( c3_2(X39,X40)
| c6_2(X39,X40)
| c4_2(X39,X40) ) )
| ! [X41] :
( ndr1_1(X39)
=> ( c5_2(X39,X41)
| c1_2(X39,X41)
| c8_2(X39,X41) ) ) ) ) )
& ( c8_0
| ( ndr1_0
& ndr1_1(a47)
& ~ c2_2(a47,a48)
& c8_2(a47,a48)
& ~ c1_2(a47,a48)
& ~ c6_1(a47)
& ndr1_1(a47)
& ~ c2_2(a47,a49)
& ~ c1_2(a47,a49)
& c7_2(a47,a49) ) )
& ( ( ndr1_0
& ~ c4_1(a50)
& c1_1(a50) )
| c7_0
| c4_0 )
& ( ~ c8_0
| ! [X42] :
( ndr1_0
=> ( ~ c5_1(X42)
| c6_1(X42)
| c2_1(X42) ) )
| ~ c4_0 )
& ( c2_0
| c3_0
| ( ndr1_0
& c5_1(a51)
& ~ c7_1(a51)
& ! [X43] :
( ndr1_1(a51)
=> ( c3_2(a51,X43)
| ~ c5_2(a51,X43)
| c4_2(a51,X43) ) ) ) )
& ( ! [X44] :
( ndr1_0
=> ( ~ c3_1(X44)
| c2_1(X44)
| ~ c7_1(X44) ) )
| ! [X45] :
( ndr1_0
=> ( c1_1(X45)
| ! [X46] :
( ndr1_1(X45)
=> ( c4_2(X45,X46)
| ~ c6_2(X45,X46)
| ~ c3_2(X45,X46) ) )
| ~ c6_1(X45) ) ) )
& ( ~ c7_0
| ~ c6_0
| ~ c3_0 )
& ( ( ndr1_0
& c5_1(a52)
& ! [X47] :
( ndr1_1(a52)
=> ( ~ c5_2(a52,X47)
| ~ c8_2(a52,X47)
| ~ c7_2(a52,X47) ) )
& c8_1(a52) )
| ( ndr1_0
& ndr1_1(a53)
& c4_2(a53,a54)
& ~ c8_2(a53,a54)
& ~ c7_2(a53,a54)
& c1_1(a53)
& ndr1_1(a53)
& c2_2(a53,a55)
& c6_2(a53,a55) )
| ~ c5_0 )
& ( c8_0
| ! [X48] :
( ndr1_0
=> ( c5_1(X48)
| ! [X49] :
( ndr1_1(X48)
=> ( ~ c4_2(X48,X49)
| ~ c1_2(X48,X49)
| ~ c6_2(X48,X49) ) )
| ( ndr1_1(X48)
& c3_2(X48,a56)
& ~ c2_2(X48,a56)
& c7_2(X48,a56) ) ) )
| ! [X50] :
( ndr1_0
=> ( ( ndr1_1(X50)
& ~ c7_2(X50,a57)
& c2_2(X50,a57)
& c5_2(X50,a57) )
| ~ c3_1(X50)
| ( ndr1_1(X50)
& ~ c3_2(X50,a58)
& ~ c5_2(X50,a58)
& c6_2(X50,a58) ) ) ) )
& ( c3_0
| c2_0
| ( ndr1_0
& ! [X51] :
( ndr1_1(a59)
=> ( c7_2(a59,X51)
| c5_2(a59,X51) ) )
& ~ c4_1(a59)
& c3_1(a59) ) )
& ( ~ c4_0
| ~ c2_0
| c3_0 )
& ( ! [X52] :
( ndr1_0
=> ( c1_1(X52)
| ~ c4_1(X52) ) )
| ( ndr1_0
& ndr1_1(a60)
& ~ c2_2(a60,a61)
& c8_2(a60,a61)
& c5_2(a60,a61)
& ! [X53] :
( ndr1_1(a60)
=> ( ~ c7_2(a60,X53)
| c5_2(a60,X53)
| ~ c2_2(a60,X53) ) )
& ndr1_1(a60)
& ~ c4_2(a60,a62)
& c2_2(a60,a62)
& c3_2(a60,a62) )
| ! [X54] :
( ndr1_0
=> ( ~ c2_1(X54)
| ~ c3_1(X54)
| ! [X55] :
( ndr1_1(X54)
=> ( ~ c3_2(X54,X55)
| c5_2(X54,X55)
| c6_2(X54,X55) ) ) ) ) )
& ( ! [X56] :
( ndr1_0
=> ( ~ c7_1(X56)
| c6_1(X56)
| ( ndr1_1(X56)
& ~ c2_2(X56,a63)
& c4_2(X56,a63)
& ~ c5_2(X56,a63) ) ) )
| ( ndr1_0
& ! [X57] :
( ndr1_1(a64)
=> ( c4_2(a64,X57)
| ~ c2_2(a64,X57)
| c8_2(a64,X57) ) )
& ~ c1_1(a64)
& ! [X58] :
( ndr1_1(a64)
=> ( c1_2(a64,X58)
| c4_2(a64,X58)
| c6_2(a64,X58) ) ) )
| c2_0 )
& ( ! [X59] :
( ndr1_0
=> ( c7_1(X59)
| ! [X60] :
( ndr1_1(X59)
=> ( ~ c7_2(X59,X60)
| c5_2(X59,X60)
| c8_2(X59,X60) ) )
| ~ c8_1(X59) ) )
| c5_0
| ~ c3_0 )
& ( ( ndr1_0
& c5_1(a65)
& ! [X61] :
( ndr1_1(a65)
=> ( c1_2(a65,X61)
| c4_2(a65,X61)
| c5_2(a65,X61) ) )
& c6_1(a65) )
| ( ndr1_0
& ! [X62] :
( ndr1_1(a66)
=> ( c3_2(a66,X62)
| ~ c8_2(a66,X62)
| c5_2(a66,X62) ) )
& ! [X63] :
( ndr1_1(a66)
=> ( c2_2(a66,X63)
| ~ c8_2(a66,X63)
| c3_2(a66,X63) ) )
& ~ c3_1(a66) )
| ~ c1_0 )
& ( ! [X64] :
( ndr1_0
=> ( ~ c2_1(X64)
| c3_1(X64)
| c5_1(X64) ) )
| ~ c2_0 )
& ( ~ c7_0
| ! [X65] :
( ndr1_0
=> ( ( ndr1_1(X65)
& ~ c4_2(X65,a67)
& ~ c7_2(X65,a67) )
| c6_1(X65)
| c2_1(X65) ) )
| ( ndr1_0
& c2_1(a68)
& ! [X66] :
( ndr1_1(a68)
=> ( c7_2(a68,X66)
| c6_2(a68,X66) ) )
& c5_1(a68) ) )
& ( ~ c7_0
| ~ c8_0
| ! [X67] :
( ndr1_0
=> ( ~ c3_1(X67)
| ( ndr1_1(X67)
& ~ c1_2(X67,a69)
& ~ c6_2(X67,a69)
& c5_2(X67,a69) )
| ( ndr1_1(X67)
& ~ c6_2(X67,a70)
& c7_2(X67,a70)
& c4_2(X67,a70) ) ) ) )
& ( ! [X68] :
( ndr1_0
=> ( ( ndr1_1(X68)
& ~ c1_2(X68,a71)
& ~ c3_2(X68,a71)
& c5_2(X68,a71) )
| ( ndr1_1(X68)
& ~ c1_2(X68,a72)
& c8_2(X68,a72)
& c7_2(X68,a72) )
| c4_1(X68) ) )
| ~ c8_0
| c5_0 )
& ( ~ c3_0
| ( ndr1_0
& ! [X69] :
( ndr1_1(a73)
=> ( ~ c1_2(a73,X69)
| ~ c2_2(a73,X69)
| ~ c4_2(a73,X69) ) )
& ndr1_1(a73)
& c5_2(a73,a74)
& c4_2(a73,a74)
& c1_1(a73) )
| ~ c7_0 )
& ( c8_0
| ( ndr1_0
& ! [X70] :
( ndr1_1(a75)
=> ( c6_2(a75,X70)
| ~ c2_2(a75,X70)
| ~ c4_2(a75,X70) ) )
& ! [X71] :
( ndr1_1(a75)
=> ( ~ c4_2(a75,X71)
| ~ c6_2(a75,X71)
| c3_2(a75,X71) ) )
& ! [X72] :
( ndr1_1(a75)
=> ( c8_2(a75,X72)
| ~ c1_2(a75,X72) ) ) )
| c7_0 )
& ( c2_0
| c5_0
| ! [X73] :
( ndr1_0
=> ( c3_1(X73)
| ~ c2_1(X73)
| c7_1(X73) ) ) )
& ( c7_0
| ! [X74] :
( ndr1_0
=> ( c1_1(X74)
| ( ndr1_1(X74)
& ~ c6_2(X74,a76)
& c7_2(X74,a76)
& c4_2(X74,a76) )
| ! [X75] :
( ndr1_1(X74)
=> ( c8_2(X74,X75)
| c7_2(X74,X75)
| ~ c3_2(X74,X75) ) ) ) )
| ~ c2_0 )
& ( c8_0
| ! [X76] :
( ndr1_0
=> ( ~ c3_1(X76)
| c7_1(X76)
| ! [X77] :
( ndr1_1(X76)
=> ( ~ c3_2(X76,X77)
| c7_2(X76,X77)
| c1_2(X76,X77) ) ) ) ) )
& ( ( ndr1_0
& c7_1(a77)
& ! [X78] :
( ndr1_1(a77)
=> ( c1_2(a77,X78)
| c7_2(a77,X78)
| c8_2(a77,X78) ) ) )
| ~ c1_0
| ~ c2_0 )
& ( ! [X79] :
( ndr1_0
=> ( c7_1(X79)
| ~ c8_1(X79) ) )
| c3_0 )
& ( ~ c3_0
| ( ndr1_0
& ! [X80] :
( ndr1_1(a78)
=> ( c3_2(a78,X80)
| ~ c7_2(a78,X80)
| c5_2(a78,X80) ) )
& ndr1_1(a78)
& ~ c5_2(a78,a79)
& c6_2(a78,a79)
& ~ c1_1(a78) ) )
& ( c7_0
| c6_0
| ( ndr1_0
& ~ c4_1(a80)
& ~ c2_1(a80) ) )
& ( ( ndr1_0
& ndr1_1(a81)
& c4_2(a81,a82)
& c8_2(a81,a82)
& c3_2(a81,a82)
& ~ c6_1(a81)
& c7_1(a81) )
| ~ c1_0 )
& ( c1_0
| ( ndr1_0
& ~ c3_1(a83)
& ndr1_1(a83)
& c5_2(a83,a84)
& ~ c2_2(a83,a84)
& c3_2(a83,a84)
& ~ c7_1(a83) )
| ( ndr1_0
& ~ c4_1(a85)
& ndr1_1(a85)
& ~ c8_2(a85,a86)
& ~ c1_2(a85,a86)
& c7_2(a85,a86)
& c7_1(a85) ) )
& ( ! [X81] :
( ndr1_0
=> ( ~ c7_1(X81)
| ! [X82] :
( ndr1_1(X81)
=> ( ~ c4_2(X81,X82)
| c8_2(X81,X82)
| c7_2(X81,X82) ) )
| ~ c5_1(X81) ) )
| ! [X83] :
( ndr1_0
=> ( ( ndr1_1(X83)
& c8_2(X83,a87)
& c5_2(X83,a87)
& c1_2(X83,a87) )
| ~ c7_1(X83)
| ( ndr1_1(X83)
& ~ c7_2(X83,a88)
& c1_2(X83,a88) ) ) )
| ! [X84] :
( ndr1_0
=> ( ~ c2_1(X84)
| c3_1(X84)
| ! [X85] :
( ndr1_1(X84)
=> ( c4_2(X84,X85)
| c1_2(X84,X85)
| ~ c6_2(X84,X85) ) ) ) ) )
& c6_0
& c4_0
& ( ! [X86] :
( ndr1_0
=> ( c5_1(X86)
| ( ndr1_1(X86)
& c2_2(X86,a89)
& ~ c7_2(X86,a89)
& c1_2(X86,a89) ) ) )
| ( ndr1_0
& ! [X87] :
( ndr1_1(a90)
=> ( ~ c1_2(a90,X87)
| ~ c2_2(a90,X87)
| ~ c6_2(a90,X87) ) )
& ndr1_1(a90)
& c1_2(a90,a91)
& c3_2(a90,a91)
& ndr1_1(a90)
& ~ c3_2(a90,a92)
& ~ c4_2(a90,a92)
& c7_2(a90,a92) )
| ( ndr1_0
& ! [X88] :
( ndr1_1(a93)
=> ( c5_2(a93,X88)
| ~ c6_2(a93,X88)
| c8_2(a93,X88) ) )
& ! [X89] :
( ndr1_1(a93)
=> ( ~ c4_2(a93,X89)
| c6_2(a93,X89) ) )
& ! [X90] :
( ndr1_1(a93)
=> ( ~ c6_2(a93,X90)
| ~ c7_2(a93,X90) ) ) ) )
& ( c5_0
| ! [X91] :
( ndr1_0
=> ( ~ c5_1(X91)
| c4_1(X91)
| c1_1(X91) ) )
| ! [X92] :
( ndr1_0
=> ( ~ c2_1(X92)
| ( ndr1_1(X92)
& ~ c5_2(X92,a94)
& c6_2(X92,a94)
& c2_2(X92,a94) )
| ( ndr1_1(X92)
& c5_2(X92,a95)
& c1_2(X92,a95)
& c6_2(X92,a95) ) ) ) )
& ( ! [X93] :
( ndr1_0
=> ( ! [X94] :
( ndr1_1(X93)
=> ( c4_2(X93,X94)
| ~ c1_2(X93,X94)
| c2_2(X93,X94) ) )
| c6_1(X93)
| c1_1(X93) ) )
| c3_0
| ( ndr1_0
& c2_1(a96)
& c3_1(a96)
& ndr1_1(a96)
& c7_2(a96,a97)
& ~ c6_2(a96,a97)
& ~ c1_2(a96,a97) ) )
& ( ( ndr1_0
& ~ c7_1(a98)
& ~ c5_1(a98)
& ! [X95] :
( ndr1_1(a98)
=> ( c5_2(a98,X95)
| c4_2(a98,X95)
| c8_2(a98,X95) ) ) )
| ~ c3_0
| ~ c8_0 )
& ( ! [X96] :
( ndr1_0
=> ( ! [X97] :
( ndr1_1(X96)
=> ( ~ c2_2(X96,X97)
| ~ c1_2(X96,X97)
| c6_2(X96,X97) ) )
| ( ndr1_1(X96)
& ~ c6_2(X96,a99)
& ~ c5_2(X96,a99)
& c4_2(X96,a99) ) ) )
| ! [X98] :
( ndr1_0
=> ( c7_1(X98)
| ~ c2_1(X98)
| ! [X99] :
( ndr1_1(X98)
=> ( ~ c1_2(X98,X99)
| c3_2(X98,X99)
| ~ c5_2(X98,X99) ) ) ) )
| ~ c8_0 )
& ( ~ c1_0
| ! [X100] :
( ndr1_0
=> ( ! [X101] :
( ndr1_1(X100)
=> ( c6_2(X100,X101)
| ~ c3_2(X100,X101)
| c2_2(X100,X101) ) )
| ! [X102] :
( ndr1_1(X100)
=> ( c7_2(X100,X102)
| ~ c5_2(X100,X102)
| ~ c8_2(X100,X102) ) )
| c7_1(X100) ) )
| ! [X103] :
( ndr1_0
=> ( c3_1(X103)
| ~ c1_1(X103)
| c4_1(X103) ) ) )
& ( ! [X104] :
( ndr1_0
=> ( ( ndr1_1(X104)
& c4_2(X104,a100)
& c5_2(X104,a100)
& c2_2(X104,a100) )
| c8_1(X104)
| ! [X105] :
( ndr1_1(X104)
=> ( c7_2(X104,X105)
| ~ c2_2(X104,X105)
| c4_2(X104,X105) ) ) ) )
| ~ c5_0
| ! [X106] :
( ndr1_0
=> ( ! [X107] :
( ndr1_1(X106)
=> ( c2_2(X106,X107)
| c4_2(X106,X107) ) )
| ( ndr1_1(X106)
& c7_2(X106,a101)
& ~ c2_2(X106,a101)
& c4_2(X106,a101) )
| ( ndr1_1(X106)
& c7_2(X106,a102)
& ~ c1_2(X106,a102)
& ~ c4_2(X106,a102) ) ) ) )
& ( ~ c1_0
| ~ c2_0 )
& ( ( ndr1_0
& ! [X108] :
( ndr1_1(a103)
=> ( c5_2(a103,X108)
| c4_2(a103,X108)
| c1_2(a103,X108) ) )
& c3_1(a103)
& ! [X109] :
( ndr1_1(a103)
=> ( ~ c4_2(a103,X109)
| c8_2(a103,X109)
| ~ c5_2(a103,X109) ) ) )
| c5_0
| ~ c8_0 )
& ( ~ c7_0
| c8_0
| ! [X110] :
( ndr1_0
=> ( ~ c8_1(X110)
| c6_1(X110)
| c4_1(X110) ) ) )
& ( ! [X111] :
( ndr1_0
=> ( ! [X112] :
( ndr1_1(X111)
=> ( c6_2(X111,X112)
| c5_2(X111,X112)
| ~ c2_2(X111,X112) ) )
| ~ c2_1(X111)
| ~ c6_1(X111) ) )
| c5_0
| ( ndr1_0
& ~ c5_1(a104)
& ! [X113] :
( ndr1_1(a104)
=> ( ~ c1_2(a104,X113)
| c8_2(a104,X113) ) ) ) )
& ( ~ c2_0
| ( ndr1_0
& ndr1_1(a105)
& c1_2(a105,a106)
& c7_2(a105,a106)
& ~ c6_2(a105,a106)
& ndr1_1(a105)
& ~ c3_2(a105,a107)
& c4_2(a105,a107)
& ~ c8_2(a105,a107)
& c3_1(a105) ) )
& ( ! [X114] :
( ndr1_0
=> ( c7_1(X114)
| ! [X115] :
( ndr1_1(X114)
=> ( ~ c5_2(X114,X115)
| ~ c8_2(X114,X115) ) )
| ( ndr1_1(X114)
& c6_2(X114,a108)
& ~ c5_2(X114,a108)
& ~ c7_2(X114,a108) ) ) )
| c2_0 )
& ( ! [X116] :
( ndr1_0
=> ( c7_1(X116)
| ( ndr1_1(X116)
& c7_2(X116,a109)
& c1_2(X116,a109)
& ~ c4_2(X116,a109) )
| c6_1(X116) ) )
| ~ c2_0
| ( ndr1_0
& ndr1_1(a110)
& c4_2(a110,a111)
& ~ c5_2(a110,a111)
& c1_1(a110)
& ndr1_1(a110)
& ~ c7_2(a110,a112)
& c5_2(a110,a112)
& ~ c4_2(a110,a112) ) )
& ( ( ndr1_0
& ~ c8_1(a113)
& ~ c4_1(a113)
& ! [X117] :
( ndr1_1(a113)
=> ( ~ c4_2(a113,X117)
| c8_2(a113,X117)
| c7_2(a113,X117) ) ) )
| ! [X118] :
( ndr1_0
=> ( ( ndr1_1(X118)
& c5_2(X118,a114)
& c1_2(X118,a114)
& c8_2(X118,a114) )
| c3_1(X118)
| ~ c7_1(X118) ) )
| ~ c1_0 )
& ( ~ c2_0
| ! [X119] :
( ndr1_0
=> ( ! [X120] :
( ndr1_1(X119)
=> ( c7_2(X119,X120)
| c2_2(X119,X120)
| ~ c1_2(X119,X120) ) )
| c6_1(X119)
| ~ c4_1(X119) ) )
| ! [X121] :
( ndr1_0
=> ( c1_1(X121)
| ! [X122] :
( ndr1_1(X121)
=> ( c5_2(X121,X122)
| ~ c6_2(X121,X122)
| ~ c7_2(X121,X122) ) ) ) ) )
& ( ~ c7_0
| ! [X123] :
( ndr1_0
=> ( ( ndr1_1(X123)
& ~ c3_2(X123,a115)
& ~ c7_2(X123,a115)
& ~ c8_2(X123,a115) )
| ~ c8_1(X123) ) )
| c2_0 )
& ( ! [X124] :
( ndr1_0
=> ( c4_1(X124)
| c8_1(X124)
| ( ndr1_1(X124)
& c2_2(X124,a116)
& c1_2(X124,a116)
& ~ c5_2(X124,a116) ) ) )
| ! [X125] :
( ndr1_0
=> ( c7_1(X125)
| c4_1(X125)
| ! [X126] :
( ndr1_1(X125)
=> ( ~ c4_2(X125,X126)
| c6_2(X125,X126)
| c1_2(X125,X126) ) ) ) ) )
& ( ~ c1_0
| ! [X127] :
( ndr1_0
=> ( ~ c8_1(X127)
| ~ c7_1(X127) ) )
| c7_0 )
& ( ( ndr1_0
& ~ c2_1(a117)
& c8_1(a117) )
| c3_0 )
& ( ( ndr1_0
& ! [X128] :
( ndr1_1(a118)
=> ( c8_2(a118,X128)
| c1_2(a118,X128)
| ~ c6_2(a118,X128) ) )
& ndr1_1(a118)
& ~ c8_2(a118,a119)
& c2_2(a118,a119)
& c7_2(a118,a119)
& ! [X129] :
( ndr1_1(a118)
=> ( c2_2(a118,X129)
| c5_2(a118,X129)
| ~ c4_2(a118,X129) ) ) )
| ~ c2_0
| ~ c7_0 )
& ( ( ndr1_0
& ! [X130] :
( ndr1_1(a120)
=> ( ~ c8_2(a120,X130)
| c1_2(a120,X130)
| ~ c6_2(a120,X130) ) )
& ~ c5_1(a120)
& ! [X131] :
( ndr1_1(a120)
=> ( ~ c5_2(a120,X131)
| ~ c1_2(a120,X131)
| ~ c7_2(a120,X131) ) ) )
| ( ndr1_0
& ! [X132] :
( ndr1_1(a121)
=> ( c8_2(a121,X132)
| ~ c7_2(a121,X132)
| c5_2(a121,X132) ) )
& c5_1(a121)
& c3_1(a121) ) )
& ( ( ndr1_0
& ndr1_1(a122)
& c5_2(a122,a123)
& ~ c1_2(a122,a123)
& ~ c3_2(a122,a123)
& c8_1(a122)
& ~ c1_1(a122) )
| c2_0 )
& ( ( ndr1_0
& c4_1(a124)
& ndr1_1(a124)
& ~ c5_2(a124,a125)
& ~ c8_2(a124,a125)
& c6_2(a124,a125)
& ndr1_1(a124)
& c8_2(a124,a126)
& c6_2(a124,a126) )
| ~ c3_0
| ! [X133] :
( ndr1_0
=> ( c7_1(X133)
| ~ c6_1(X133)
| ! [X134] :
( ndr1_1(X133)
=> ( c6_2(X133,X134)
| c8_2(X133,X134)
| ~ c2_2(X133,X134) ) ) ) ) )
& ( ! [X135] :
( ndr1_0
=> ( ! [X136] :
( ndr1_1(X135)
=> ( c4_2(X135,X136)
| ~ c8_2(X135,X136)
| c3_2(X135,X136) ) )
| ~ c4_1(X135)
| ! [X137] :
( ndr1_1(X135)
=> ( ~ c7_2(X135,X137)
| c8_2(X135,X137)
| c6_2(X135,X137) ) ) ) )
| ( ndr1_0
& c8_1(a127)
& c3_1(a127)
& ~ c5_1(a127) )
| ~ c7_0 )
& ( ~ c1_0
| ! [X138] :
( ndr1_0
=> ( ( ndr1_1(X138)
& ~ c7_2(X138,a128)
& ~ c8_2(X138,a128)
& ~ c4_2(X138,a128) )
| ~ c1_1(X138) ) )
| ( ndr1_0
& ndr1_1(a129)
& ~ c6_2(a129,a130)
& ~ c8_2(a129,a130)
& c3_2(a129,a130)
& ndr1_1(a129)
& c1_2(a129,a131)
& ~ c7_2(a129,a131)
& c8_2(a129,a131)
& ~ c6_1(a129) ) )
& ( ! [X139] :
( ndr1_0
=> ( c8_1(X139)
| c2_1(X139)
| ~ c7_1(X139) ) )
| ! [X140] :
( ndr1_0
=> ( ~ c1_1(X140)
| ~ c8_1(X140)
| ! [X141] :
( ndr1_1(X140)
=> ( c7_2(X140,X141)
| ~ c2_2(X140,X141)
| c3_2(X140,X141) ) ) ) )
| ! [X142] :
( ndr1_0
=> ( ~ c4_1(X142)
| ~ c6_1(X142)
| ~ c5_1(X142) ) ) )
& ( ! [X143] :
( ndr1_0
=> ( ( ndr1_1(X143)
& ~ c3_2(X143,a132)
& ~ c8_2(X143,a132)
& ~ c6_2(X143,a132) )
| ~ c1_1(X143)
| ! [X144] :
( ndr1_1(X143)
=> ( ~ c4_2(X143,X144)
| c7_2(X143,X144)
| ~ c8_2(X143,X144) ) ) ) )
| ~ c8_0 )
& ( ! [X145] :
( ndr1_0
=> ( ~ c6_1(X145)
| ~ c2_1(X145)
| ( ndr1_1(X145)
& ~ c1_2(X145,a133)
& ~ c5_2(X145,a133)
& c3_2(X145,a133) ) ) )
| ~ c2_0 )
& ( ( ndr1_0
& ~ c1_1(a134)
& ndr1_1(a134)
& ~ c4_2(a134,a135)
& c8_2(a134,a135)
& c3_2(a134,a135)
& ! [X146] :
( ndr1_1(a134)
=> ( c1_2(a134,X146)
| c8_2(a134,X146) ) ) )
| ! [X147] :
( ndr1_0
=> ( c8_1(X147)
| ~ c2_1(X147) ) ) )
& ndr1_0
& c5_1(a136)
& ! [X148] :
( ndr1_1(a136)
=> ( c8_2(a136,X148)
| c3_2(a136,X148)
| c7_2(a136,X148) ) )
& ndr1_1(a136)
& c1_2(a136,a137)
& c3_2(a136,a137)
& c5_2(a136,a137)
& ( ~ c3_0
| ( ndr1_0
& ! [X149] :
( ndr1_1(a138)
=> ( c3_2(a138,X149)
| ~ c4_2(a138,X149)
| ~ c6_2(a138,X149) ) )
& ndr1_1(a138)
& c6_2(a138,a139)
& ~ c5_2(a138,a139)
& ~ c1_2(a138,a139)
& ndr1_1(a138)
& c5_2(a138,a140)
& ~ c4_2(a138,a140) )
| c7_0 )
& ( ( ndr1_0
& ~ c4_1(a141)
& c8_1(a141)
& ndr1_1(a141)
& ~ c3_2(a141,a142)
& c8_2(a141,a142) )
| ( ndr1_0
& c5_1(a143)
& ndr1_1(a143)
& ~ c1_2(a143,a144)
& ~ c5_2(a143,a144)
& c2_2(a143,a144) )
| ~ c2_0 )
& ( c7_0
| ! [X150] :
( ndr1_0
=> ( ndr1_1(X150)
& ~ c4_2(X150,a145)
& c6_2(X150,a145)
& c5_2(X150,a145) ) ) )
& ( ~ c2_0
| ~ c1_0
| ! [X151] :
( ndr1_0
=> ( ( ndr1_1(X151)
& ~ c2_2(X151,a146) )
| c2_1(X151)
| ! [X152] :
( ndr1_1(X151)
=> ( c5_2(X151,X152)
| ~ c1_2(X151,X152)
| c8_2(X151,X152) ) ) ) ) )
& ~ c2_0
& ( c7_0
| ! [X153] :
( ndr1_0
=> ( ~ c3_1(X153)
| c1_1(X153)
| ! [X154] :
( ndr1_1(X153)
=> ( c2_2(X153,X154)
| ~ c8_2(X153,X154)
| c6_2(X153,X154) ) ) ) ) )
& ~ c3_0 ) ).
%--------------------------------------------------------------------------