TPTP Problem File: SYN460+1.p
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- Solve Problem
%--------------------------------------------------------------------------
% File : SYN460+1 : TPTP v8.2.0. Released v2.1.0.
% Domain : Syntactic (Translated)
% Problem : ALC, N=4, R=1, L=60, K=3, D=1, P=0, Index=077
% 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-4-1-60-3-1-077.dfg [Wei97]
% Status : Theorem
% Rating : 0.00 v6.1.0, 0.33 v6.0.0, 0.00 v5.5.0, 0.44 v5.3.0, 0.45 v5.2.0, 0.50 v4.1.0, 0.61 v4.0.1, 0.63 v4.0.0, 0.65 v3.7.0, 0.67 v3.5.0, 0.50 v3.3.0, 0.44 v3.1.0, 0.67 v2.7.0, 0.33 v2.5.0, 0.67 v2.4.0, 0.33 v2.2.1, 1.00 v2.1.0
% Syntax : Number of formulae : 1 ( 0 unt; 0 def)
% Number of atoms : 786 ( 0 equ)
% Maximal formula atoms : 786 ( 786 avg)
% Number of connectives : 1074 ( 289 ~; 386 |; 295 &)
% ( 0 <=>; 104 =>; 0 <=; 0 <~>)
% Maximal formula depth : 127 ( 127 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 64 ( 64 usr; 60 prp; 0-1 aty)
% Number of functors : 59 ( 59 usr; 59 con; 0-0 aty)
% Number of variables : 104 ( 104 !; 0 ?)
% SPC : FOF_THM_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,
~ ( ( ~ hskp0
| ( ndr1_0
& ~ c0_1(a2181)
& ~ c1_1(a2181)
& ~ c2_1(a2181) ) )
& ( ~ hskp1
| ( ndr1_0
& c3_1(a2182)
& ~ c0_1(a2182)
& ~ c2_1(a2182) ) )
& ( ~ hskp2
| ( ndr1_0
& c3_1(a2187)
& c1_1(a2187)
& ~ c2_1(a2187) ) )
& ( ~ hskp3
| ( ndr1_0
& c2_1(a2190)
& ~ c1_1(a2190)
& ~ c0_1(a2190) ) )
& ( ~ hskp4
| ( ndr1_0
& c3_1(a2191)
& ~ c2_1(a2191)
& ~ c1_1(a2191) ) )
& ( ~ hskp5
| ( ndr1_0
& ~ c0_1(a2192)
& c1_1(a2192)
& ~ c3_1(a2192) ) )
& ( ~ hskp6
| ( ndr1_0
& ~ c0_1(a2197)
& ~ c3_1(a2197)
& ~ c1_1(a2197) ) )
& ( ~ hskp7
| ( ndr1_0
& c2_1(a2198)
& c0_1(a2198)
& ~ c3_1(a2198) ) )
& ( ~ hskp8
| ( ndr1_0
& ~ c2_1(a2202)
& ~ c1_1(a2202)
& ~ c0_1(a2202) ) )
& ( ~ hskp9
| ( ndr1_0
& ~ c1_1(a2203)
& c0_1(a2203)
& ~ c3_1(a2203) ) )
& ( ~ hskp10
| ( ndr1_0
& ~ c2_1(a2206)
& ~ c0_1(a2206)
& ~ c3_1(a2206) ) )
& ( ~ hskp11
| ( ndr1_0
& c0_1(a2209)
& ~ c1_1(a2209)
& ~ c2_1(a2209) ) )
& ( ~ hskp12
| ( ndr1_0
& c2_1(a2211)
& ~ c1_1(a2211)
& ~ c3_1(a2211) ) )
& ( ~ hskp13
| ( ndr1_0
& c0_1(a2212)
& c2_1(a2212)
& ~ c3_1(a2212) ) )
& ( ~ hskp14
| ( ndr1_0
& ~ c1_1(a2213)
& c2_1(a2213)
& ~ c0_1(a2213) ) )
& ( ~ hskp15
| ( ndr1_0
& ~ c3_1(a2217)
& c1_1(a2217)
& ~ c0_1(a2217) ) )
& ( ~ hskp16
| ( ndr1_0
& ~ c2_1(a2220)
& ~ c1_1(a2220)
& ~ c3_1(a2220) ) )
& ( ~ hskp17
| ( ndr1_0
& ~ c0_1(a2221)
& c2_1(a2221)
& ~ c3_1(a2221) ) )
& ( ~ hskp18
| ( ndr1_0
& c0_1(a2222)
& c3_1(a2222)
& ~ c2_1(a2222) ) )
& ( ~ hskp19
| ( ndr1_0
& ~ c0_1(a2233)
& ~ c1_1(a2233)
& ~ c3_1(a2233) ) )
& ( ~ hskp20
| ( ndr1_0
& c1_1(a2237)
& c0_1(a2237)
& ~ c3_1(a2237) ) )
& ( ~ hskp21
| ( ndr1_0
& c2_1(a2239)
& ~ c0_1(a2239)
& ~ c3_1(a2239) ) )
& ( ~ hskp22
| ( ndr1_0
& c0_1(a2244)
& ~ c2_1(a2244)
& ~ c1_1(a2244) ) )
& ( ~ hskp23
| ( ndr1_0
& c3_1(a2245)
& c0_1(a2245)
& ~ c1_1(a2245) ) )
& ( ~ hskp24
| ( ndr1_0
& c1_1(a2246)
& ~ c0_1(a2246)
& ~ c3_1(a2246) ) )
& ( ~ hskp25
| ( ndr1_0
& c3_1(a2249)
& c2_1(a2249)
& ~ c0_1(a2249) ) )
& ( ~ hskp26
| ( ndr1_0
& ~ c3_1(a2178)
& c0_1(a2178)
& c2_1(a2178) ) )
& ( ~ hskp27
| ( ndr1_0
& ~ c1_1(a2179)
& ~ c2_1(a2179)
& c0_1(a2179) ) )
& ( ~ hskp28
| ( ndr1_0
& c3_1(a2180)
& c1_1(a2180)
& c2_1(a2180) ) )
& ( ~ hskp29
| ( ndr1_0
& ~ c0_1(a2183)
& c2_1(a2183)
& c3_1(a2183) ) )
& ( ~ hskp30
| ( ndr1_0
& ~ c3_1(a2184)
& ~ c1_1(a2184)
& c0_1(a2184) ) )
& ( ~ hskp31
| ( ndr1_0
& c1_1(a2185)
& ~ c2_1(a2185)
& c3_1(a2185) ) )
& ( ~ hskp32
| ( ndr1_0
& ~ c3_1(a2186)
& ~ c2_1(a2186)
& c0_1(a2186) ) )
& ( ~ hskp33
| ( ndr1_0
& ~ c3_1(a2188)
& ~ c2_1(a2188)
& c1_1(a2188) ) )
& ( ~ hskp34
| ( ndr1_0
& ~ c0_1(a2189)
& c1_1(a2189)
& c3_1(a2189) ) )
& ( ~ hskp35
| ( ndr1_0
& c2_1(a2193)
& ~ c0_1(a2193)
& c3_1(a2193) ) )
& ( ~ hskp36
| ( ndr1_0
& c3_1(a2194)
& ~ c2_1(a2194)
& c1_1(a2194) ) )
& ( ~ hskp37
| ( ndr1_0
& c1_1(a2196)
& ~ c0_1(a2196)
& c2_1(a2196) ) )
& ( ~ hskp38
| ( ndr1_0
& ~ c0_1(a2200)
& ~ c2_1(a2200)
& c1_1(a2200) ) )
& ( ~ hskp39
| ( ndr1_0
& ~ c1_1(a2201)
& ~ c0_1(a2201)
& c3_1(a2201) ) )
& ( ~ hskp40
| ( ndr1_0
& c2_1(a2204)
& ~ c1_1(a2204)
& c3_1(a2204) ) )
& ( ~ hskp41
| ( ndr1_0
& c2_1(a2205)
& ~ c0_1(a2205)
& c1_1(a2205) ) )
& ( ~ hskp42
| ( ndr1_0
& c1_1(a2207)
& ~ c3_1(a2207)
& c0_1(a2207) ) )
& ( ~ hskp43
| ( ndr1_0
& ~ c2_1(a2208)
& c3_1(a2208)
& c0_1(a2208) ) )
& ( ~ hskp44
| ( ndr1_0
& ~ c0_1(a2215)
& c2_1(a2215)
& c1_1(a2215) ) )
& ( ~ hskp45
| ( ndr1_0
& c2_1(a2216)
& c3_1(a2216)
& c0_1(a2216) ) )
& ( ~ hskp46
| ( ndr1_0
& c0_1(a2218)
& ~ c3_1(a2218)
& c2_1(a2218) ) )
& ( ~ hskp47
| ( ndr1_0
& c2_1(a2226)
& ~ c1_1(a2226)
& c0_1(a2226) ) )
& ( ~ hskp48
| ( ndr1_0
& ~ c0_1(a2228)
& c3_1(a2228)
& c2_1(a2228) ) )
& ( ~ hskp49
| ( ndr1_0
& c0_1(a2229)
& ~ c1_1(a2229)
& c3_1(a2229) ) )
& ( ~ hskp50
| ( ndr1_0
& ~ c3_1(a2231)
& c2_1(a2231)
& c1_1(a2231) ) )
& ( ~ hskp51
| ( ndr1_0
& c0_1(a2232)
& c3_1(a2232)
& c2_1(a2232) ) )
& ( ~ hskp52
| ( ndr1_0
& c1_1(a2234)
& c3_1(a2234)
& c2_1(a2234) ) )
& ( ~ hskp53
| ( ndr1_0
& c0_1(a2235)
& c2_1(a2235)
& c3_1(a2235) ) )
& ( ~ hskp54
| ( ndr1_0
& c1_1(a2240)
& c3_1(a2240)
& c0_1(a2240) ) )
& ( ~ hskp55
| ( ndr1_0
& c1_1(a2241)
& c0_1(a2241)
& c2_1(a2241) ) )
& ( ~ hskp56
| ( ndr1_0
& ~ c1_1(a2242)
& ~ c3_1(a2242)
& c2_1(a2242) ) )
& ( ~ hskp57
| ( ndr1_0
& c1_1(a2243)
& c0_1(a2243)
& c3_1(a2243) ) )
& ( ~ hskp58
| ( ndr1_0
& ~ c2_1(a2252)
& ~ c1_1(a2252)
& c0_1(a2252) ) )
& ( hskp26
| ! [U] :
( ndr1_0
=> ( c0_1(U)
| c1_1(U)
| ~ c2_1(U) ) )
| ! [V] :
( ndr1_0
=> ( ~ c1_1(V)
| ~ c3_1(V)
| c0_1(V) ) ) )
& ( ! [W] :
( ndr1_0
=> ( c3_1(W)
| c1_1(W)
| c2_1(W) ) )
| hskp27
| hskp28 )
& ( ! [X] :
( ndr1_0
=> ( ~ c2_1(X)
| ~ c0_1(X)
| ~ c1_1(X) ) )
| hskp0
| ! [Y] :
( ndr1_0
=> ( ~ c0_1(Y)
| ~ c2_1(Y)
| ~ c1_1(Y) ) ) )
& ( hskp1
| ! [Z] :
( ndr1_0
=> ( ~ c1_1(Z)
| c0_1(Z)
| c3_1(Z) ) )
| ! [X1] :
( ndr1_0
=> ( c3_1(X1)
| c1_1(X1)
| c0_1(X1) ) ) )
& ( hskp29
| hskp30
| hskp31 )
& ( hskp32
| hskp2
| ! [X2] :
( ndr1_0
=> ( c3_1(X2)
| c1_1(X2)
| c0_1(X2) ) ) )
& ( hskp33
| ! [X3] :
( ndr1_0
=> ( ~ c0_1(X3)
| c1_1(X3)
| ~ c2_1(X3) ) )
| hskp34 )
& ( ! [X4] :
( ndr1_0
=> ( ~ c1_1(X4)
| ~ c0_1(X4)
| ~ c2_1(X4) ) )
| ! [X5] :
( ndr1_0
=> ( c1_1(X5)
| ~ c3_1(X5)
| c2_1(X5) ) )
| ! [X6] :
( ndr1_0
=> ( ~ c0_1(X6)
| c2_1(X6)
| c3_1(X6) ) ) )
& ( ! [X7] :
( ndr1_0
=> ( ~ c3_1(X7)
| ~ c2_1(X7)
| c1_1(X7) ) )
| ! [X8] :
( ndr1_0
=> ( c3_1(X8)
| c1_1(X8)
| ~ c2_1(X8) ) )
| hskp3 )
& ( ! [X9] :
( ndr1_0
=> ( c0_1(X9)
| ~ c1_1(X9)
| ~ c2_1(X9) ) )
| ! [X10] :
( ndr1_0
=> ( c2_1(X10)
| ~ c1_1(X10)
| c3_1(X10) ) )
| hskp4 )
& ( hskp5
| hskp35
| hskp36 )
& ( ! [X11] :
( ndr1_0
=> ( c1_1(X11)
| c0_1(X11)
| c2_1(X11) ) )
| ! [X12] :
( ndr1_0
=> ( ~ c1_1(X12)
| ~ c2_1(X12)
| ~ c0_1(X12) ) )
| ! [X13] :
( ndr1_0
=> ( ~ c1_1(X13)
| c3_1(X13)
| c2_1(X13) ) ) )
& ( hskp34
| hskp37
| hskp6 )
& ( ! [X14] :
( ndr1_0
=> ( c2_1(X14)
| c3_1(X14)
| ~ c0_1(X14) ) )
| hskp7
| hskp37 )
& ( hskp38
| ! [X15] :
( ndr1_0
=> ( c3_1(X15)
| ~ c1_1(X15)
| ~ c0_1(X15) ) )
| ! [X16] :
( ndr1_0
=> ( c2_1(X16)
| c1_1(X16)
| c0_1(X16) ) ) )
& ( ! [X17] :
( ndr1_0
=> ( ~ c0_1(X17)
| c2_1(X17)
| ~ c1_1(X17) ) )
| hskp39
| ! [X18] :
( ndr1_0
=> ( ~ c1_1(X18)
| ~ c0_1(X18)
| ~ c2_1(X18) ) ) )
& ( hskp8
| hskp9
| ! [X19] :
( ndr1_0
=> ( c2_1(X19)
| c1_1(X19)
| ~ c0_1(X19) ) ) )
& ( ! [X20] :
( ndr1_0
=> ( c3_1(X20)
| ~ c0_1(X20)
| c1_1(X20) ) )
| ! [X21] :
( ndr1_0
=> ( ~ c0_1(X21)
| c3_1(X21)
| ~ c2_1(X21) ) )
| ! [X22] :
( ndr1_0
=> ( c0_1(X22)
| ~ c2_1(X22)
| c1_1(X22) ) ) )
& ( ! [X23] :
( ndr1_0
=> ( c1_1(X23)
| c3_1(X23)
| ~ c0_1(X23) ) )
| ! [X24] :
( ndr1_0
=> ( ~ c3_1(X24)
| c1_1(X24)
| c2_1(X24) ) )
| hskp40 )
& ( ! [X25] :
( ndr1_0
=> ( ~ c2_1(X25)
| c3_1(X25)
| c0_1(X25) ) )
| hskp41
| hskp10 )
& ( ! [X26] :
( ndr1_0
=> ( c2_1(X26)
| ~ c1_1(X26)
| c0_1(X26) ) )
| ! [X27] :
( ndr1_0
=> ( ~ c0_1(X27)
| ~ c1_1(X27)
| c2_1(X27) ) )
| ! [X28] :
( ndr1_0
=> ( c2_1(X28)
| ~ c3_1(X28)
| ~ c1_1(X28) ) ) )
& ( ! [X29] :
( ndr1_0
=> ( c1_1(X29)
| c3_1(X29)
| c0_1(X29) ) )
| hskp42
| hskp43 )
& ( hskp11
| hskp3
| hskp12 )
& ( hskp13
| ! [X30] :
( ndr1_0
=> ( c0_1(X30)
| c1_1(X30)
| ~ c3_1(X30) ) )
| ! [X31] :
( ndr1_0
=> ( ~ c0_1(X31)
| c3_1(X31)
| c1_1(X31) ) ) )
& ( ! [X32] :
( ndr1_0
=> ( c3_1(X32)
| ~ c2_1(X32)
| c0_1(X32) ) )
| ! [X33] :
( ndr1_0
=> ( ~ c0_1(X33)
| ~ c3_1(X33)
| ~ c2_1(X33) ) )
| ! [X34] :
( ndr1_0
=> ( ~ c3_1(X34)
| c0_1(X34)
| ~ c1_1(X34) ) ) )
& ( hskp14
| ! [X35] :
( ndr1_0
=> ( ~ c0_1(X35)
| c3_1(X35)
| c2_1(X35) ) )
| hskp4 )
& ( ! [X36] :
( ndr1_0
=> ( c0_1(X36)
| c3_1(X36)
| ~ c2_1(X36) ) )
| ! [X37] :
( ndr1_0
=> ( c1_1(X37)
| c0_1(X37)
| ~ c2_1(X37) ) )
| ! [X38] :
( ndr1_0
=> ( ~ c2_1(X38)
| c1_1(X38)
| ~ c3_1(X38) ) ) )
& ( hskp44
| ! [X39] :
( ndr1_0
=> ( ~ c3_1(X39)
| c2_1(X39)
| ~ c0_1(X39) ) )
| ! [X40] :
( ndr1_0
=> ( c1_1(X40)
| ~ c3_1(X40)
| ~ c0_1(X40) ) ) )
& ( hskp45
| hskp15
| ! [X41] :
( ndr1_0
=> ( ~ c3_1(X41)
| ~ c2_1(X41)
| c1_1(X41) ) ) )
& ( ! [X42] :
( ndr1_0
=> ( ~ c0_1(X42)
| c1_1(X42)
| ~ c3_1(X42) ) )
| hskp46
| hskp34 )
& ( ! [X43] :
( ndr1_0
=> ( ~ c3_1(X43)
| c2_1(X43)
| ~ c0_1(X43) ) )
| ! [X44] :
( ndr1_0
=> ( c3_1(X44)
| c2_1(X44)
| c0_1(X44) ) )
| ! [X45] :
( ndr1_0
=> ( c1_1(X45)
| c2_1(X45)
| c3_1(X45) ) ) )
& ( hskp16
| hskp17
| ! [X46] :
( ndr1_0
=> ( c0_1(X46)
| ~ c2_1(X46)
| c1_1(X46) ) ) )
& ( hskp18
| ! [X47] :
( ndr1_0
=> ( ~ c1_1(X47)
| ~ c2_1(X47)
| c3_1(X47) ) )
| hskp31 )
& ( ! [X48] :
( ndr1_0
=> ( ~ c1_1(X48)
| ~ c3_1(X48)
| ~ c2_1(X48) ) )
| hskp33
| ! [X49] :
( ndr1_0
=> ( ~ c2_1(X49)
| ~ c1_1(X49)
| c0_1(X49) ) ) )
& ( ! [X50] :
( ndr1_0
=> ( c1_1(X50)
| ~ c0_1(X50)
| c3_1(X50) ) )
| hskp33
| ! [X51] :
( ndr1_0
=> ( c2_1(X51)
| ~ c1_1(X51)
| c0_1(X51) ) ) )
& ( hskp47
| ! [X52] :
( ndr1_0
=> ( ~ c3_1(X52)
| c0_1(X52)
| c2_1(X52) ) )
| ! [X53] :
( ndr1_0
=> ( c1_1(X53)
| c2_1(X53)
| c3_1(X53) ) ) )
& ( hskp18
| ! [X54] :
( ndr1_0
=> ( ~ c1_1(X54)
| c3_1(X54)
| c2_1(X54) ) )
| ! [X55] :
( ndr1_0
=> ( c3_1(X55)
| ~ c1_1(X55)
| c2_1(X55) ) ) )
& ( ! [X56] :
( ndr1_0
=> ( ~ c1_1(X56)
| ~ c3_1(X56)
| c0_1(X56) ) )
| ! [X57] :
( ndr1_0
=> ( ~ c2_1(X57)
| c0_1(X57)
| ~ c1_1(X57) ) )
| hskp48 )
& ( ! [X58] :
( ndr1_0
=> ( c0_1(X58)
| c1_1(X58)
| ~ c3_1(X58) ) )
| hskp49
| hskp31 )
& ( hskp50
| hskp51
| ! [X59] :
( ndr1_0
=> ( ~ c1_1(X59)
| c0_1(X59)
| ~ c2_1(X59) ) ) )
& ( ! [X60] :
( ndr1_0
=> ( ~ c3_1(X60)
| ~ c1_1(X60)
| c0_1(X60) ) )
| ! [X61] :
( ndr1_0
=> ( c3_1(X61)
| c0_1(X61)
| ~ c2_1(X61) ) )
| ! [X62] :
( ndr1_0
=> ( ~ c1_1(X62)
| c3_1(X62)
| ~ c0_1(X62) ) ) )
& ( ! [X63] :
( ndr1_0
=> ( c3_1(X63)
| ~ c2_1(X63)
| c0_1(X63) ) )
| hskp19
| hskp52 )
& ( ! [X64] :
( ndr1_0
=> ( ~ c0_1(X64)
| c3_1(X64)
| c1_1(X64) ) )
| hskp53
| ! [X65] :
( ndr1_0
=> ( c3_1(X65)
| c2_1(X65)
| c1_1(X65) ) ) )
& ( ! [X66] :
( ndr1_0
=> ( ~ c2_1(X66)
| ~ c0_1(X66)
| c3_1(X66) ) )
| hskp10
| ! [X67] :
( ndr1_0
=> ( c2_1(X67)
| ~ c3_1(X67)
| c1_1(X67) ) ) )
& ( hskp20
| ! [X68] :
( ndr1_0
=> ( ~ c1_1(X68)
| ~ c3_1(X68)
| ~ c2_1(X68) ) )
| ! [X69] :
( ndr1_0
=> ( c3_1(X69)
| c1_1(X69)
| ~ c0_1(X69) ) ) )
& ( ! [X70] :
( ndr1_0
=> ( ~ c3_1(X70)
| c2_1(X70)
| ~ c1_1(X70) ) )
| ! [X71] :
( ndr1_0
=> ( ~ c3_1(X71)
| c2_1(X71)
| ~ c0_1(X71) ) )
| hskp10 )
& ( hskp21
| hskp54
| hskp55 )
& ( ! [X72] :
( ndr1_0
=> ( c1_1(X72)
| ~ c0_1(X72)
| c2_1(X72) ) )
| hskp56
| ! [X73] :
( ndr1_0
=> ( c1_1(X73)
| ~ c0_1(X73)
| ~ c2_1(X73) ) ) )
& ( hskp57
| ! [X74] :
( ndr1_0
=> ( ~ c1_1(X74)
| c0_1(X74)
| c3_1(X74) ) )
| hskp22 )
& ( hskp23
| hskp24
| ! [X75] :
( ndr1_0
=> ( ~ c0_1(X75)
| ~ c3_1(X75)
| c1_1(X75) ) ) )
& ( hskp17
| ! [X76] :
( ndr1_0
=> ( ~ c2_1(X76)
| c3_1(X76)
| ~ c1_1(X76) ) ) )
& ( ! [X77] :
( ndr1_0
=> ( c2_1(X77)
| c0_1(X77)
| ~ c3_1(X77) ) )
| ! [X78] :
( ndr1_0
=> ( c0_1(X78)
| c2_1(X78)
| ~ c1_1(X78) ) )
| ! [X79] :
( ndr1_0
=> ( ~ c2_1(X79)
| ~ c0_1(X79)
| ~ c3_1(X79) ) ) )
& ( ! [X80] :
( ndr1_0
=> ( c1_1(X80)
| c2_1(X80)
| c3_1(X80) ) )
| ! [X81] :
( ndr1_0
=> ( c0_1(X81)
| c1_1(X81)
| c3_1(X81) ) )
| ! [X82] :
( ndr1_0
=> ( c2_1(X82)
| ~ c0_1(X82)
| ~ c3_1(X82) ) ) )
& ( ! [X83] :
( ndr1_0
=> ( c0_1(X83)
| ~ c2_1(X83)
| c1_1(X83) ) )
| ! [X84] :
( ndr1_0
=> ( c1_1(X84)
| ~ c3_1(X84)
| ~ c2_1(X84) ) )
| ! [X85] :
( ndr1_0
=> ( c2_1(X85)
| ~ c0_1(X85)
| c1_1(X85) ) ) )
& ( hskp32
| ! [X86] :
( ndr1_0
=> ( ~ c0_1(X86)
| c1_1(X86)
| c2_1(X86) ) )
| ! [X87] :
( ndr1_0
=> ( c2_1(X87)
| c1_1(X87)
| ~ c3_1(X87) ) ) )
& ( ! [X88] :
( ndr1_0
=> ( c0_1(X88)
| ~ c3_1(X88)
| ~ c2_1(X88) ) )
| ! [X89] :
( ndr1_0
=> ( c3_1(X89)
| c0_1(X89)
| c2_1(X89) ) )
| hskp25 )
& ( ! [X90] :
( ndr1_0
=> ( c3_1(X90)
| c0_1(X90)
| ~ c2_1(X90) ) )
| hskp56
| ! [X91] :
( ndr1_0
=> ( c3_1(X91)
| ~ c2_1(X91)
| ~ c0_1(X91) ) ) )
& ( ! [X92] :
( ndr1_0
=> ( c3_1(X92)
| c2_1(X92)
| ~ c0_1(X92) ) )
| ! [X93] :
( ndr1_0
=> ( ~ c2_1(X93)
| c0_1(X93)
| c1_1(X93) ) )
| ! [X94] :
( ndr1_0
=> ( c3_1(X94)
| ~ c0_1(X94)
| ~ c2_1(X94) ) ) )
& ( ! [X95] :
( ndr1_0
=> ( c2_1(X95)
| ~ c3_1(X95)
| ~ c0_1(X95) ) )
| ! [X96] :
( ndr1_0
=> ( ~ c3_1(X96)
| ~ c2_1(X96)
| c0_1(X96) ) )
| hskp40 )
& ( hskp58
| ! [X97] :
( ndr1_0
=> ( ~ c3_1(X97)
| c2_1(X97)
| c1_1(X97) ) )
| ! [X98] :
( ndr1_0
=> ( ~ c3_1(X98)
| c1_1(X98)
| c2_1(X98) ) ) ) ) ).
%--------------------------------------------------------------------------