0.00/0.35 NO 0.00/0.35 0.00/0.35 TRSs: 0.00/0.35 TRS 0: 0.00/0.35 f(a) -> f(f(a)) 0.00/0.35 f(x0) -> f(a) 0.00/0.35 0.00/0.35 TRS 1: 0.00/0.35 a -> b 0.00/0.35 f(a) -> g(a) 0.00/0.35 f(b) -> g(b) 0.00/0.35 0.00/0.35 ------------------------------------------------------------------------------- 0.00/0.35 Signature: 0.00/0.35 a: constant 0.00/0.35 b: constant 0.00/0.35 f: unary 0.00/0.35 g: unary 0.00/0.35 0.00/0.35 ------------------------------------------------------------------------------- 0.00/0.35 Parsed formula: 0.00/0.35 Com(0, 1) 0.00/0.35 0.00/0.35 ------------------------------------------------------------------------------- 0.00/0.35 Normalized formula: 0.00/0.35 Com(0, 1) 0.00/0.35 0.00/0.35 ------------------------------------------------------------------------------- 0.00/0.35 0.00/0.35 Using the following most general signature for Com (and possibly others): 0.00/0.35 a: 0 0.00/0.35 b: 0 0.00/0.35 f: 0 -> 0 0.00/0.35 g: 0 -> 0 0.00/0.35 0.00/0.35 automaton for ->*: 0.00/0.35 size: 35 0.00/0.35 bb -> ok0 0.00/0.35 a# -> 3 0.00/0.35 a# -> 1 0.00/0.35 ff(17) -> ok0 0.00/0.35 aa -> 10 0.00/0.35 #f(6) -> 6 0.00/0.35 ga(1) -> 10 0.00/0.35 ff(16) -> ok0 0.00/0.35 aa -> ok0 0.00/0.35 ff(10) -> ok0 0.00/0.35 ff(9) -> ok0 0.00/0.35 #f(5) -> 6 0.00/0.35 aa -> 16 0.00/0.35 fa(3) -> 10 0.00/0.35 ff(ok0) -> ok0 0.00/0.35 bf(6) -> 9 0.00/0.35 bf(5) -> 9 0.00/0.35 #a -> 5 0.00/0.35 af(6) -> 9 0.00/0.35 fa(1) -> 10 0.00/0.35 g#(1) -> 1 0.00/0.35 af(6) -> 17 0.00/0.35 f#(1) -> 1 0.00/0.35 ba -> 10 0.00/0.35 f#(3) -> 1 0.00/0.35 af(5) -> 9 0.00/0.35 b# -> 1 0.00/0.35 ff(17) -> 9 0.00/0.35 ff(16) -> 9 0.00/0.35 af(5) -> 17 0.00/0.35 gg(ok0) -> ok0 0.00/0.35 gf(10) -> 9 0.00/0.35 gf(9) -> 9 0.00/0.35 ff(9) -> 9 0.00/0.35 ff(10) -> 9 0.00/0.35 0.00/0.35 automaton for ->*: 0.00/0.35 size: 11 0.00/0.35 fg(13) -> ok0 0.00/0.35 aa -> 13 0.00/0.35 ab -> ok0 0.00/0.35 bb -> 24 0.00/0.35 ab -> 24 0.00/0.35 aa -> ok0 0.00/0.35 gg(ok0) -> ok0 0.00/0.35 bb -> ok0 0.00/0.35 fg(24) -> ok0 0.00/0.35 ab -> 13 0.00/0.35 ff(ok0) -> ok0 0.00/0.35 0.00/0.35 cylindrified automaton (pos: 1): 0.00/0.35 size: 59 0.00/0.35 a#a -> ok0 0.00/0.35 #g#(25) -> 25 0.00/0.35 fag(24) -> ok0 0.00/0.35 aba -> 13 0.00/0.35 f#f(ok0) -> ok0 0.00/0.35 #a# -> 25 0.00/0.35 #b# -> 25 0.00/0.35 a#b -> 13 0.00/0.35 f#g(24) -> ok0 0.00/0.35 fgg(13) -> ok0 0.00/0.35 faf(ok0) -> ok0 0.00/0.35 bfb(25) -> 24 0.00/0.35 aaa -> 13 0.00/0.35 fbf(ok0) -> ok0 0.00/0.35 aga(25) -> 13 0.00/0.35 afb(25) -> 24 0.00/0.35 abb -> 13 0.00/0.35 afa(25) -> 13 0.00/0.35 a#a -> 13 0.00/0.35 bgb(25) -> 24 0.00/0.35 aba -> ok0 0.00/0.35 gfg(ok0) -> ok0 0.00/0.35 aab -> 13 0.00/0.35 fbg(24) -> ok0 0.00/0.35 bgb(25) -> ok0 0.00/0.35 aaa -> ok0 0.00/0.35 bfb(25) -> ok0 0.00/0.35 ggg(ok0) -> ok0 0.00/0.35 gbg(ok0) -> ok0 0.00/0.35 bab -> ok0 0.00/0.35 abb -> ok0 0.00/0.35 b#b -> 24 0.00/0.35 fag(13) -> ok0 0.00/0.35 afa(25) -> ok0 0.00/0.35 agb(25) -> ok0 0.00/0.35 aab -> 24 0.00/0.35 bab -> 24 0.00/0.35 #f#(25) -> 25 0.00/0.35 ffg(13) -> ok0 0.00/0.35 gag(ok0) -> ok0 0.00/0.35 b#b -> ok0 0.00/0.35 agb(25) -> 24 0.00/0.35 aab -> ok0 0.00/0.35 f#g(13) -> ok0 0.00/0.35 abb -> 24 0.00/0.35 fgg(24) -> ok0 0.00/0.35 bbb -> 24 0.00/0.35 a#b -> ok0 0.00/0.35 ffg(24) -> ok0 0.00/0.35 fff(ok0) -> ok0 0.00/0.35 agb(25) -> 13 0.00/0.35 afb(25) -> ok0 0.00/0.35 aga(25) -> ok0 0.00/0.35 fgf(ok0) -> ok0 0.00/0.35 bbb -> ok0 0.00/0.35 afb(25) -> 13 0.00/0.35 g#g(ok0) -> ok0 0.00/0.35 fbg(13) -> ok0 0.00/0.35 a#b -> 24 0.00/0.35 0.00/0.35 cylindrified automaton (pos: 0): 0.00/0.35 size: 179 0.00/0.35 gff(10) -> ok0 0.00/0.35 #g#(1) -> 1 0.00/0.35 fff(10) -> 9 0.00/0.35 gf#(3) -> 1 0.00/0.35 f#f(6) -> 6 0.00/0.35 bga(1) -> 10 0.00/0.35 aff(9) -> 9 0.00/0.35 agf(10) -> 9 0.00/0.35 bff(17) -> 9 0.00/0.35 bbf(6) -> 9 0.00/0.35 b#f(5) -> 6 0.00/0.35 fgg(ok0) -> ok0 0.00/0.35 fa#(18) -> 1 0.00/0.35 ab# -> 1 0.00/0.35 bff(9) -> 9 0.00/0.35 bf#(1) -> 1 0.00/0.35 gaf(6) -> 9 0.00/0.35 faf(5) -> 9 0.00/0.35 b#a -> 5 0.00/0.35 #fa(3) -> 10 0.00/0.35 #ff(ok0) -> ok0 0.00/0.35 #bf(5) -> 9 0.00/0.35 b## -> 18 0.00/0.35 faf(5) -> 17 0.00/0.35 aff(17) -> 9 0.00/0.35 afa(1) -> 10 0.00/0.35 a#a -> 5 0.00/0.35 bgf(10) -> 9 0.00/0.35 bff(17) -> ok0 0.00/0.35 fff(10) -> ok0 0.00/0.35 #gf(9) -> 9 0.00/0.35 bb# -> 1 0.00/0.35 ffa(1) -> 10 0.00/0.35 aga(1) -> 10 0.00/0.35 a## -> 18 0.00/0.35 baa -> 10 0.00/0.35 bff(9) -> ok0 0.00/0.35 gaf(6) -> 17 0.00/0.35 aff(16) -> ok0 0.00/0.35 abf(6) -> 9 0.00/0.35 aaa -> 16 0.00/0.35 aaa -> ok0 0.00/0.35 baf(5) -> 9 0.00/0.35 a#f(6) -> 6 0.00/0.35 ggg(ok0) -> ok0 0.00/0.35 gff(ok0) -> ok0 0.00/0.35 ##a -> 5 0.00/0.35 fba(18) -> 10 0.00/0.35 aff(10) -> 9 0.00/0.35 abb -> ok0 0.00/0.35 b#f(6) -> 6 0.00/0.35 agg(ok0) -> ok0 0.00/0.35 #ba -> 10 0.00/0.35 bff(10) -> 9 0.00/0.35 #f#(3) -> 1 0.00/0.35 fgf(10) -> 9 0.00/0.35 gaf(5) -> 9 0.00/0.35 gba(18) -> 10 0.00/0.35 gfa(3) -> 10 0.00/0.35 #bf(6) -> 9 0.00/0.35 #ff(10) -> ok0 0.00/0.35 ##f(5) -> 6 0.00/0.35 ba# -> 3 0.00/0.35 g#a(18) -> 5 0.00/0.35 fbb(18) -> ok0 0.00/0.35 fff(ok0) -> ok0 0.00/0.35 gff(16) -> 9 0.00/0.35 gb#(18) -> 1 0.00/0.35 bgf(9) -> 9 0.00/0.35 aba -> 10 0.00/0.35 bff(10) -> ok0 0.00/0.35 gaf(5) -> 17 0.00/0.35 aff(17) -> ok0 0.00/0.35 ggf(10) -> 9 0.00/0.35 abf(5) -> 9 0.00/0.35 bfa(1) -> 10 0.00/0.35 af#(3) -> 1 0.00/0.35 aff(9) -> ok0 0.00/0.35 #ff(10) -> 9 0.00/0.35 ag#(1) -> 1 0.00/0.35 a#f(5) -> 6 0.00/0.35 ff#(1) -> 1 0.00/0.35 #b# -> 1 0.00/0.35 gf#(1) -> 1 0.00/0.35 #af(5) -> 9 0.00/0.35 faa(18) -> 16 0.00/0.35 fff(16) -> 9 0.00/0.35 baf(6) -> 17 0.00/0.35 fb#(18) -> 1 0.00/0.35 #fa(1) -> 10 0.00/0.35 fbf(5) -> 9 0.00/0.35 aa# -> 1 0.00/0.35 gff(16) -> ok0 0.00/0.35 #aa -> 16 0.00/0.35 bba -> 10 0.00/0.35 fgf(9) -> 9 0.00/0.35 ##f(6) -> 6 0.00/0.35 #ff(17) -> ok0 0.00/0.35 ga#(18) -> 3 0.00/0.35 gbf(6) -> 9 0.00/0.35 #aa -> ok0 0.00/0.35 bf#(3) -> 1 0.00/0.35 aaf(6) -> 17 0.00/0.35 #ff(9) -> ok0 0.00/0.35 ba# -> 1 0.00/0.35 faa(18) -> ok0 0.00/0.35 gga(1) -> 10 0.00/0.35 gaa(18) -> 16 0.00/0.35 g#f(5) -> 6 0.00/0.35 aaf(6) -> 9 0.00/0.35 gff(9) -> 9 0.00/0.35 afa(3) -> 10 0.00/0.35 f##(18) -> 18 0.00/0.35 #bb -> ok0 0.00/0.35 ffa(3) -> 10 0.00/0.35 #a# -> 3 0.00/0.35 gff(17) -> 9 0.00/0.35 gaa(18) -> ok0 0.00/0.35 #ff(17) -> 9 0.00/0.35 ggf(9) -> 9 0.00/0.35 #gg(ok0) -> ok0 0.00/0.35 bff(ok0) -> ok0 0.00/0.35 fbf(6) -> 9 0.00/0.35 fff(16) -> ok0 0.00/0.35 #ff(9) -> 9 0.00/0.35 aff(10) -> ok0 0.00/0.35 gbb(18) -> ok0 0.00/0.35 baf(5) -> 17 0.00/0.35 fff(9) -> 9 0.00/0.35 f#f(5) -> 6 0.00/0.35 #af(6) -> 17 0.00/0.35 bg#(1) -> 1 0.00/0.35 gff(9) -> ok0 0.00/0.35 agf(9) -> 9 0.00/0.35 #ga(1) -> 10 0.00/0.35 bff(16) -> 9 0.00/0.35 aa# -> 3 0.00/0.35 fga(1) -> 10 0.00/0.35 bbf(5) -> 9 0.00/0.35 #af(6) -> 9 0.00/0.35 f#a(18) -> 5 0.00/0.35 gff(17) -> ok0 0.00/0.35 gg#(1) -> 1 0.00/0.35 ga#(18) -> 1 0.00/0.35 #ff(16) -> ok0 0.00/0.35 bgg(ok0) -> ok0 0.00/0.35 fa#(18) -> 3 0.00/0.35 faf(6) -> 9 0.00/0.35 #f#(1) -> 1 0.00/0.35 gbf(5) -> 9 0.00/0.35 gfa(1) -> 10 0.00/0.35 g##(18) -> 18 0.00/0.35 faa(18) -> 10 0.00/0.35 aaf(5) -> 17 0.00/0.35 fff(17) -> 9 0.00/0.35 aff(16) -> 9 0.00/0.35 #aa -> 10 0.00/0.35 faf(6) -> 17 0.00/0.35 fff(9) -> ok0 0.00/0.35 baa -> ok0 0.00/0.35 aaf(5) -> 9 0.00/0.35 g#f(6) -> 6 0.00/0.35 #gf(10) -> 9 0.00/0.35 gff(10) -> 9 0.00/0.35 aff(ok0) -> ok0 0.00/0.35 bff(16) -> ok0 0.00/0.35 gaa(18) -> 10 0.00/0.35 baa -> 16 0.00/0.35 #a# -> 1 0.00/0.35 #ff(16) -> 9 0.00/0.35 bbb -> ok0 0.00/0.35 bfa(3) -> 10 0.00/0.35 fff(17) -> ok0 0.00/0.35 af#(1) -> 1 0.00/0.35 #af(5) -> 17 0.00/0.35 fg#(1) -> 1 0.00/0.35 ff#(3) -> 1 0.00/0.35 aaa -> 10 0.00/0.35 baf(6) -> 9 0.00/0.35 0.00/0.35 intersection automaton for formula: 0.00/0.35 ([1]t ->* v & [0]u ->* v) 0.00/0.35 size: 42 0.00/0.35 #a# -> 0 0.00/0.35 fff(12) -> ok5 0.00/0.35 fff(ok5) -> ok5 0.00/0.35 aga(0) -> 1 0.00/0.35 abb -> 6 0.00/0.35 faf(7) -> 8 0.00/0.35 abb -> 4 0.00/0.35 #f#(13) -> 0 0.00/0.35 faf(3) -> 2 0.00/0.35 fff(8) -> ok5 0.00/0.35 faf(7) -> 2 0.00/0.35 fgf(1) -> 2 0.00/0.35 aaa -> ok5 0.00/0.35 fbf(3) -> 2 0.00/0.35 #a# -> 13 0.00/0.35 f#f(7) -> 3 0.00/0.35 afa(0) -> 1 0.00/0.35 ggg(ok5) -> ok5 0.00/0.35 fbf(7) -> 2 0.00/0.35 #b# -> 0 0.00/0.35 bbb -> ok5 0.00/0.35 #g#(0) -> 0 0.00/0.35 a#a -> 7 0.00/0.35 abb -> ok5 0.00/0.35 fff(2) -> 2 0.00/0.35 f#f(3) -> 3 0.00/0.35 fgg(4) -> ok5 0.00/0.35 aaa -> 1 0.00/0.35 fff(8) -> 2 0.00/0.35 fgg(6) -> ok5 0.00/0.35 afa(13) -> 1 0.00/0.35 fff(1) -> 2 0.00/0.35 fgf(2) -> 2 0.00/0.35 aba -> 1 0.00/0.35 bbb -> 6 0.00/0.35 aaa -> 12 0.00/0.35 fff(2) -> ok5 0.00/0.35 faf(3) -> 8 0.00/0.35 fff(1) -> ok5 0.00/0.35 #f#(0) -> 0 0.00/0.35 fff(12) -> 2 0.00/0.35 aaa -> 4 0.00/0.35 0.00/0.35 projected automaton for formula: 0.00/0.35 exists v ([1]t ->* v & [0]u ->* v) 0.00/0.35 size: 42 0.00/0.35 ff(8) -> ok5 0.00/0.35 #g(0) -> 0 0.00/0.35 ff(2) -> ok5 0.00/0.35 bb -> 6 0.00/0.35 aa -> 4 0.00/0.35 ab -> 1 0.00/0.35 ff(1) -> ok5 0.00/0.35 a# -> 7 0.00/0.35 aa -> 12 0.00/0.35 fa(7) -> 2 0.00/0.35 ab -> ok5 0.00/0.35 fg(4) -> ok5 0.00/0.35 fa(3) -> 2 0.00/0.35 fg(6) -> ok5 0.00/0.35 #f(0) -> 0 0.00/0.35 gg(ok5) -> ok5 0.00/0.35 ff(12) -> 2 0.00/0.35 fa(7) -> 8 0.00/0.35 ff(8) -> 2 0.00/0.35 ff(1) -> 2 0.00/0.35 ff(2) -> 2 0.00/0.35 af(13) -> 1 0.00/0.35 fa(3) -> 8 0.00/0.35 #a -> 0 0.00/0.35 bb -> ok5 0.00/0.35 af(0) -> 1 0.00/0.35 #f(13) -> 0 0.00/0.35 #a -> 13 0.00/0.35 ab -> 4 0.00/0.35 f#(3) -> 3 0.00/0.35 ag(0) -> 1 0.00/0.35 aa -> 1 0.00/0.35 f#(7) -> 3 0.00/0.35 aa -> ok5 0.00/0.35 ab -> 6 0.00/0.35 fb(7) -> 2 0.00/0.35 fg(2) -> 2 0.00/0.35 fg(1) -> 2 0.00/0.35 fb(3) -> 2 0.00/0.35 #b -> 0 0.00/0.35 ff(ok5) -> ok5 0.00/0.35 ff(12) -> ok5 0.00/0.35 0.00/0.35 complement automaton for formula: 0.00/0.35 ~exists v ([1]t ->* v & [0]u ->* v) 0.00/0.35 size: 74 0.00/0.35 g#(ok5) -> ok0 0.00/0.35 gf(ok11) -> ok1 0.00/0.35 gf(ok9) -> ok1 0.00/0.35 #a -> ok4 0.00/0.35 ba -> ok1 0.00/0.35 g#(ok13) -> ok0 0.00/0.35 gg(6) -> 8 0.00/0.35 f#(ok0) -> ok0 0.00/0.35 gg(2) -> 8 0.00/0.35 a# -> ok5 0.00/0.35 ag(ok4) -> ok9 0.00/0.35 fa(ok13) -> ok12 0.00/0.35 ff(ok11) -> 10 0.00/0.35 fg(ok1) -> ok1 0.00/0.35 bf(ok3) -> ok1 0.00/0.35 fg(8) -> ok1 0.00/0.35 gg(ok12) -> ok1 0.00/0.35 fg(ok12) -> ok11 0.00/0.35 bb -> 2 0.00/0.35 ff(ok9) -> 10 0.00/0.35 ff(10) -> 10 0.00/0.35 fa(ok5) -> ok12 0.00/0.35 #g(ok3) -> ok3 0.00/0.35 ff(7) -> 10 0.00/0.35 ff(2) -> 8 0.00/0.35 af(ok3) -> ok9 0.00/0.35 #f(ok4) -> ok3 0.00/0.35 fg(6) -> 10 0.00/0.35 gg(7) -> 8 0.00/0.35 gf(7) -> ok1 0.00/0.35 bg(ok4) -> ok1 0.00/0.35 fa(ok0) -> ok1 0.00/0.35 ga(ok0) -> ok1 0.00/0.35 ga(ok5) -> ok1 0.00/0.35 g#(ok0) -> ok0 0.00/0.35 #b -> ok3 0.00/0.35 gf(ok12) -> ok1 0.00/0.35 ga(ok13) -> ok1 0.00/0.35 ag(ok3) -> ok9 0.00/0.35 fg(10) -> ok11 0.00/0.35 ff(ok12) -> 10 0.00/0.35 gg(ok1) -> ok1 0.00/0.35 fg(ok9) -> ok11 0.00/0.35 fb(ok13) -> ok11 0.00/0.35 aa -> 6 0.00/0.35 ab -> 7 0.00/0.35 fg(ok11) -> ok11 0.00/0.35 bf(ok4) -> ok1 0.00/0.35 b# -> ok0 0.00/0.35 fb(ok0) -> ok1 0.00/0.35 gg(ok11) -> ok1 0.00/0.35 ff(8) -> 8 0.00/0.35 fb(ok5) -> ok11 0.00/0.35 gb(ok0) -> ok1 0.00/0.35 gg(ok9) -> ok1 0.00/0.35 ff(6) -> 10 0.00/0.35 gb(ok5) -> ok1 0.00/0.35 #g(ok4) -> ok3 0.00/0.35 f#(ok5) -> ok13 0.00/0.35 gb(ok13) -> ok1 0.00/0.35 f#(ok13) -> ok13 0.00/0.35 af(ok4) -> ok9 0.00/0.35 fg(2) -> 8 0.00/0.35 gg(10) -> 8 0.00/0.35 #f(ok3) -> ok3 0.00/0.35 gg(8) -> 8 0.00/0.35 gf(2) -> ok1 0.00/0.35 fg(7) -> 10 0.00/0.35 gf(8) -> ok1 0.00/0.35 bg(ok3) -> ok1 0.00/0.35 gf(6) -> ok1 0.00/0.35 gf(ok1) -> ok1 0.00/0.35 ff(ok1) -> ok1 0.00/0.35 gf(10) -> ok1 0.00/0.35 0.00/0.35 cylindrified automaton (pos: 1): 0.00/0.35 size: 59 0.00/0.35 a#a -> ok0 0.00/0.35 #g#(25) -> 25 0.00/0.35 fag(24) -> ok0 0.00/0.35 aba -> 13 0.00/0.35 f#f(ok0) -> ok0 0.00/0.35 #a# -> 25 0.00/0.35 #b# -> 25 0.00/0.35 a#b -> 13 0.00/0.35 f#g(24) -> ok0 0.00/0.35 fgg(13) -> ok0 0.00/0.35 faf(ok0) -> ok0 0.00/0.35 bfb(25) -> 24 0.00/0.35 aaa -> 13 0.00/0.35 fbf(ok0) -> ok0 0.00/0.35 aga(25) -> 13 0.00/0.35 afb(25) -> 24 0.00/0.35 abb -> 13 0.00/0.35 afa(25) -> 13 0.00/0.35 a#a -> 13 0.00/0.35 bgb(25) -> 24 0.00/0.35 aba -> ok0 0.00/0.35 gfg(ok0) -> ok0 0.00/0.35 aab -> 13 0.00/0.35 fbg(24) -> ok0 0.00/0.35 bgb(25) -> ok0 0.00/0.35 aaa -> ok0 0.00/0.35 bfb(25) -> ok0 0.00/0.35 ggg(ok0) -> ok0 0.00/0.35 gbg(ok0) -> ok0 0.00/0.35 bab -> ok0 0.00/0.35 abb -> ok0 0.00/0.35 b#b -> 24 0.00/0.35 fag(13) -> ok0 0.00/0.35 afa(25) -> ok0 0.00/0.35 agb(25) -> ok0 0.00/0.35 aab -> 24 0.00/0.35 bab -> 24 0.00/0.35 #f#(25) -> 25 0.00/0.35 ffg(13) -> ok0 0.00/0.35 gag(ok0) -> ok0 0.00/0.35 b#b -> ok0 0.00/0.35 agb(25) -> 24 0.00/0.35 aab -> ok0 0.00/0.35 f#g(13) -> ok0 0.00/0.35 abb -> 24 0.00/0.35 fgg(24) -> ok0 0.00/0.35 bbb -> 24 0.00/0.35 a#b -> ok0 0.00/0.35 ffg(24) -> ok0 0.00/0.35 fff(ok0) -> ok0 0.00/0.35 agb(25) -> 13 0.00/0.35 afb(25) -> ok0 0.00/0.35 aga(25) -> ok0 0.00/0.35 fgf(ok0) -> ok0 0.00/0.35 bbb -> ok0 0.00/0.35 afb(25) -> 13 0.00/0.35 g#g(ok0) -> ok0 0.00/0.35 fbg(13) -> ok0 0.00/0.35 a#b -> 24 0.00/0.35 0.00/0.35 cylindrified automaton (pos: 0): 0.00/0.35 size: 374 0.00/0.35 0.00/0.35 intersection automaton for formula: 0.00/0.35 ([1]s ->* u & ~exists v ([1]t ->* v & [0]u ->* v)) 0.00/0.35 size: 148 0.00/0.35 a#a -> 4 0.00/0.35 aaa -> 33 0.00/0.35 fgf(1) -> ok6 0.00/0.35 #g#(15) -> 13 0.00/0.35 fgf(5) -> ok6 0.00/0.35 agb(13) -> 31 0.00/0.35 fff(18) -> 25 0.00/0.35 #b# -> 13 0.00/0.35 afb(15) -> 28 0.00/0.35 fbf(ok7) -> ok6 0.00/0.35 ffg(19) -> ok10 0.00/0.35 fbf(ok3) -> ok6 0.00/0.35 #f#(15) -> 15 0.00/0.35 agb(13) -> ok6 0.00/0.35 bgb(12) -> 30 0.00/0.35 fff(14) -> 1 0.00/0.35 fgg(30) -> ok6 0.00/0.35 f#f(ok3) -> ok7 0.00/0.35 aga(15) -> ok6 0.00/0.35 ffg(30) -> ok6 0.00/0.35 ffg(11) -> 25 0.00/0.35 fff(ok6) -> ok6 0.00/0.35 f#f(ok7) -> ok7 0.00/0.35 faf(ok7) -> ok9 0.00/0.35 afb(12) -> 29 0.00/0.35 agb(12) -> 30 0.00/0.35 afb(13) -> 31 0.00/0.35 fag(22) -> ok9 0.00/0.35 bgb(12) -> ok6 0.00/0.35 fgf(ok6) -> ok6 0.00/0.35 aga(15) -> 31 0.00/0.35 fgf(ok10) -> ok6 0.00/0.35 bbb -> 2 0.00/0.35 abb -> 0 0.00/0.35 fgg(11) -> 1 0.00/0.35 afa(12) -> ok8 0.00/0.35 aab -> 5 0.00/0.35 ffg(35) -> 25 0.00/0.35 bfb(15) -> 29 0.00/0.35 fgf(25) -> ok6 0.00/0.35 gfg(ok9) -> ok10 0.00/0.35 #g#(12) -> 13 0.00/0.35 gbg(ok3) -> ok6 0.00/0.35 gbg(ok7) -> ok6 0.00/0.35 afa(12) -> 19 0.00/0.35 gfg(25) -> ok10 0.00/0.35 bfb(13) -> ok6 0.00/0.35 f#g(4) -> ok7 0.00/0.35 bfb(15) -> ok10 0.00/0.35 fgg(35) -> 1 0.00/0.35 #f#(13) -> 13 0.00/0.35 fgg(29) -> ok6 0.00/0.35 ffg(28) -> ok10 0.00/0.35 bgb(15) -> 30 0.00/0.35 bfb(13) -> 30 0.00/0.35 ffg(31) -> ok6 0.00/0.35 aga(12) -> ok6 0.00/0.35 bgb(15) -> ok6 0.00/0.35 gag(ok3) -> ok9 0.00/0.35 agb(13) -> 30 0.00/0.35 fgg(2) -> 1 0.00/0.35 fag(21) -> ok9 0.00/0.35 ffg(0) -> 1 0.00/0.35 afb(15) -> 29 0.00/0.35 aab -> 11 0.00/0.35 gfg(ok10) -> ok10 0.00/0.35 fgf(ok9) -> ok6 0.00/0.35 gag(ok7) -> ok9 0.00/0.35 fff(ok8) -> 25 0.00/0.35 aga(12) -> 31 0.00/0.35 ggg(ok10) -> ok6 0.00/0.35 fbg(22) -> ok6 0.00/0.35 ggg(ok6) -> ok6 0.00/0.35 bfb(12) -> 29 0.00/0.35 afa(15) -> ok8 0.00/0.35 abb -> 14 0.00/0.35 #g#(13) -> 13 0.00/0.35 fag(4) -> ok9 0.00/0.35 afb(12) -> ok10 0.00/0.35 afa(13) -> 31 0.00/0.35 b#b -> 22 0.00/0.35 agb(15) -> 31 0.00/0.35 gfg(5) -> 25 0.00/0.35 a#b -> 21 0.00/0.35 bfb(12) -> ok10 0.00/0.35 g#g(ok3) -> ok7 0.00/0.35 ggg(14) -> 1 0.00/0.35 g#g(ok7) -> ok7 0.00/0.35 aab -> 35 0.00/0.35 afa(15) -> 19 0.00/0.35 fgg(28) -> ok6 0.00/0.35 ffg(29) -> ok10 0.00/0.35 agb(15) -> ok6 0.00/0.35 aga(13) -> ok6 0.00/0.35 gfg(14) -> 1 0.00/0.35 bab -> 11 0.00/0.35 ggg(18) -> 1 0.00/0.35 a#b -> 22 0.00/0.35 fgf(ok8) -> ok6 0.00/0.35 fff(ok9) -> 25 0.00/0.35 aga(13) -> 31 0.00/0.35 #a# -> 12 0.00/0.35 ffg(33) -> 25 0.00/0.35 bbb -> 14 0.00/0.35 ggg(ok9) -> ok6 0.00/0.35 b#b -> ok7 0.00/0.35 f#g(21) -> ok7 0.00/0.35 fbg(21) -> ok6 0.00/0.35 afa(13) -> ok6 0.00/0.35 fff(1) -> 1 0.00/0.35 fff(25) -> 25 0.00/0.35 a#b -> ok7 0.00/0.35 agb(12) -> 31 0.00/0.35 afb(13) -> 30 0.00/0.35 afb(12) -> 28 0.00/0.35 fgg(19) -> ok6 0.00/0.35 fgg(33) -> 1 0.00/0.35 aba -> 31 0.00/0.35 faf(ok3) -> ok9 0.00/0.35 gfg(18) -> 25 0.00/0.35 afb(15) -> ok10 0.00/0.35 #f#(12) -> 15 0.00/0.35 ggg(5) -> 1 0.00/0.36 agb(12) -> ok6 0.00/0.36 bgb(13) -> 30 0.00/0.36 fgg(31) -> ok6 0.00/0.36 afb(13) -> ok6 0.00/0.36 ggg(1) -> 1 0.00/0.36 bab -> 5 0.00/0.36 f#g(22) -> ok7 0.00/0.36 fgg(0) -> 1 0.00/0.36 aba -> ok6 0.00/0.36 gfg(1) -> ok6 0.00/0.36 ggg(25) -> 1 0.00/0.36 fbg(4) -> ok6 0.00/0.36 agb(15) -> 30 0.00/0.36 bgb(13) -> ok6 0.00/0.36 a#a -> ok3 0.00/0.36 ffg(2) -> 1 0.00/0.36 gfg(ok6) -> ok6 0.00/0.36 fgf(14) -> ok6 0.00/0.36 fff(ok10) -> 25 0.00/0.36 abb -> 2 0.00/0.36 aaa -> 18 0.00/0.36 fgf(18) -> ok6 0.00/0.36 ggg(ok8) -> ok6 0.00/0.36 gfg(ok8) -> ok10 0.00/0.36 fff(5) -> 25 0.00/0.36 0.00/0.36 cylindrified automaton (pos: 2): 0.00/0.36 size: 179 0.00/0.36 ffa(9) -> 9 0.00/0.36 fff(10) -> 9 0.00/0.36 aag(18) -> 10 0.00/0.36 aff(5) -> 9 0.00/0.36 a#b -> 1 0.00/0.36 ff#(10) -> ok0 0.00/0.36 aff(5) -> 17 0.00/0.36 afg(6) -> 9 0.00/0.36 bf#(5) -> 9 0.00/0.36 ##f(18) -> 18 0.00/0.36 ggf(ok0) -> ok0 0.00/0.36 b## -> 1 0.00/0.36 ffg(10) -> ok0 0.00/0.36 afg(6) -> 17 0.00/0.36 g#g(1) -> 1 0.00/0.36 bff(5) -> 9 0.00/0.36 #ff(6) -> 6 0.00/0.36 ffa(17) -> 9 0.00/0.36 f#a(3) -> 1 0.00/0.36 ffb(10) -> ok0 0.00/0.36 #fa(5) -> 6 0.00/0.36 fag(3) -> 10 0.00/0.36 bfg(6) -> 9 0.00/0.36 af#(6) -> 17 0.00/0.36 afb(6) -> 17 0.00/0.36 ff#(10) -> 9 0.00/0.36 ffb(10) -> 9 0.00/0.36 gfa(9) -> 9 0.00/0.36 fff(10) -> ok0 0.00/0.36 baa -> 10 0.00/0.36 bfb(5) -> 9 0.00/0.36 ffa(16) -> ok0 0.00/0.36 gaa(1) -> 10 0.00/0.36 aaa -> 16 0.00/0.36 bag(18) -> 10 0.00/0.36 aaa -> ok0 0.00/0.36 af#(6) -> 9 0.00/0.36 f#b(1) -> 1 0.00/0.36 afb(6) -> 9 0.00/0.36 a## -> 1 0.00/0.36 ggg(ok0) -> ok0 0.00/0.36 ffb(ok0) -> ok0 0.00/0.36 a#b -> 3 0.00/0.36 aff(6) -> 9 0.00/0.36 gf#(10) -> 9 0.00/0.36 g#f(1) -> 1 0.00/0.36 ffa(10) -> 9 0.00/0.36 #aa -> 5 0.00/0.36 aag(18) -> ok0 0.00/0.36 aag(18) -> 16 0.00/0.36 aff(6) -> 17 0.00/0.36 f##(3) -> 1 0.00/0.36 ff#(17) -> ok0 0.00/0.36 afg(5) -> 9 0.00/0.36 a#f(18) -> 1 0.00/0.36 ffg(ok0) -> ok0 0.00/0.36 bfa(5) -> 9 0.00/0.36 bba -> ok0 0.00/0.36 bff(6) -> 9 0.00/0.36 afg(5) -> 17 0.00/0.36 gga(ok0) -> ok0 0.00/0.36 ##b -> 18 0.00/0.36 aa# -> ok0 0.00/0.36 fab(1) -> 10 0.00/0.36 #ff(5) -> 6 0.00/0.36 ff#(9) -> ok0 0.00/0.36 aa# -> 16 0.00/0.36 #af(18) -> 5 0.00/0.36 #fa(6) -> 6 0.00/0.36 bbg(18) -> ok0 0.00/0.36 gfa(10) -> 9 0.00/0.36 fff(ok0) -> ok0 0.00/0.36 afb(5) -> 9 0.00/0.36 fa#(3) -> 10 0.00/0.36 g#b(1) -> 1 0.00/0.36 ff#(17) -> 9 0.00/0.36 #a# -> 5 0.00/0.36 afb(5) -> 17 0.00/0.36 gg#(ok0) -> ok0 0.00/0.36 bfb(6) -> 9 0.00/0.36 faf(1) -> 10 0.00/0.36 b#b -> 1 0.00/0.36 bb# -> ok0 0.00/0.36 ffa(17) -> ok0 0.00/0.36 #f#(6) -> 6 0.00/0.36 f#g(1) -> 1 0.00/0.36 ffg(16) -> 9 0.00/0.36 #ag(18) -> 5 0.00/0.36 bbf(18) -> ok0 0.00/0.36 ffa(9) -> ok0 0.00/0.36 ff#(9) -> 9 0.00/0.36 gfb(9) -> 9 0.00/0.36 gf#(9) -> 9 0.00/0.36 afa(6) -> 17 0.00/0.36 ba# -> 10 0.00/0.36 fff(16) -> 9 0.00/0.36 #fg(5) -> 6 0.00/0.36 faa(3) -> 10 0.00/0.36 g#a(1) -> 1 0.00/0.36 ff#(16) -> ok0 0.00/0.36 gag(1) -> 10 0.00/0.36 aaf(18) -> 16 0.00/0.36 a#f(18) -> 3 0.00/0.36 bab -> 10 0.00/0.36 bfa(6) -> 9 0.00/0.36 aab -> 10 0.00/0.36 gfg(9) -> 9 0.00/0.36 aa# -> 10 0.00/0.36 aaf(18) -> ok0 0.00/0.36 b#a -> 1 0.00/0.36 gab(1) -> 10 0.00/0.36 f#a(1) -> 1 0.00/0.36 ffg(16) -> ok0 0.00/0.36 #ab -> 5 0.00/0.36 ffb(16) -> ok0 0.00/0.36 afa(6) -> 9 0.00/0.36 fag(1) -> 10 0.00/0.36 ga#(1) -> 10 0.00/0.36 f#f(1) -> 1 0.00/0.36 gff(9) -> 9 0.00/0.36 a#a -> 1 0.00/0.36 ff#(16) -> 9 0.00/0.36 a#g(18) -> 1 0.00/0.36 ffg(9) -> 9 0.00/0.36 gaf(1) -> 10 0.00/0.36 #f#(5) -> 6 0.00/0.36 ffg(17) -> 9 0.00/0.36 ffb(16) -> 9 0.00/0.36 fff(16) -> ok0 0.00/0.36 f#b(3) -> 1 0.00/0.36 ffa(10) -> ok0 0.00/0.36 #fb(5) -> 6 0.00/0.36 a## -> 3 0.00/0.36 afa(5) -> 17 0.00/0.36 gfb(10) -> 9 0.00/0.36 fff(9) -> 9 0.00/0.36 #fg(6) -> 6 0.00/0.36 f##(1) -> 1 0.00/0.36 gfg(10) -> 9 0.00/0.36 bf#(6) -> 9 0.00/0.36 ffg(9) -> ok0 0.00/0.36 ffb(17) -> ok0 0.00/0.36 baf(18) -> 10 0.00/0.36 aaf(18) -> 10 0.00/0.36 aab -> 16 0.00/0.36 ffa(16) -> 9 0.00/0.36 f#f(3) -> 1 0.00/0.36 afa(5) -> 9 0.00/0.36 ffg(17) -> ok0 0.00/0.36 fff(17) -> 9 0.00/0.36 ffb(9) -> ok0 0.00/0.36 aab -> ok0 0.00/0.36 ff#(ok0) -> ok0 0.00/0.36 b#g(18) -> 1 0.00/0.36 fff(9) -> ok0 0.00/0.36 ffb(9) -> 9 0.00/0.36 ffa(ok0) -> ok0 0.00/0.36 bfg(5) -> 9 0.00/0.36 a#a -> 3 0.00/0.36 gff(10) -> 9 0.00/0.36 af#(5) -> 17 0.00/0.36 ##a -> 18 0.00/0.36 fab(3) -> 10 0.00/0.36 fa#(1) -> 10 0.00/0.36 ffg(10) -> 9 0.00/0.36 bbb -> ok0 0.00/0.36 a#g(18) -> 3 0.00/0.36 faf(3) -> 10 0.00/0.36 faa(1) -> 10 0.00/0.36 ggb(ok0) -> ok0 0.00/0.36 fff(17) -> ok0 0.00/0.36 g##(1) -> 1 0.00/0.36 f#g(3) -> 1 0.00/0.36 ffb(17) -> 9 0.00/0.36 b#f(18) -> 1 0.00/0.36 #fb(6) -> 6 0.00/0.36 aaa -> 10 0.00/0.36 ##g(18) -> 18 0.00/0.36 af#(5) -> 9 0.00/0.36 0.00/0.36 intersection automaton for formula: 0.00/0.36 ([0]s ->* t & ([1]s ->* u & ~exists v ([1]t ->* v & [0]u ->* v))) 0.00/0.36 size: 26 0.00/0.36 afb(47) -> 52 0.00/0.36 ffg(79) -> ok16 0.00/0.36 afb(33) -> 52 0.00/0.36 afa(33) -> 93 0.00/0.36 afb(47) -> 36 0.00/0.36 bfb(47) -> 43 0.00/0.36 ffg(93) -> ok16 0.00/0.36 #f#(33) -> 33 0.00/0.36 afb(33) -> 34 0.00/0.36 afb(33) -> 36 0.00/0.36 ffg(34) -> ok16 0.00/0.36 ffg(36) -> ok16 0.00/0.36 ggg(ok16) -> ok18 0.00/0.36 afb(33) -> 43 0.00/0.36 fff(ok18) -> ok18 0.00/0.36 ffg(43) -> ok16 0.00/0.36 #f#(47) -> 33 0.00/0.36 afb(47) -> 34 0.00/0.36 afa(33) -> 79 0.00/0.36 afa(47) -> 93 0.00/0.36 ffg(52) -> ok16 0.00/0.36 #a# -> 47 0.00/0.36 bfb(33) -> 43 0.00/0.36 afb(47) -> 43 0.00/0.36 afa(47) -> 79 0.00/0.36 ggg(ok18) -> ok18 0.00/0.36 0.00/0.36 projected automaton for formula: 0.00/0.36 exists s, t, u ([0]s ->* t & ([1]s ->* u & ~exists v ([1]t ->* v & [0]u ->* v))) 0.00/0.36 automaton representing true 0.00/0.36 0.00/0.36 complement automaton for formula: 0.00/0.36 ~exists s, t, u ([0]s ->* t & ([1]s ->* u & ~exists v ([1]t ->* v & [0]u ->* v))) 0.00/0.36 automaton representing false 0.00/0.36 0.00/0.36 NO 0.00/0.36 0.00/0.36 time: 164 ms 0.00/0.38 EOF