2.52/0.98 YES 2.64/0.99 2.64/0.99 Problem: 2.64/0.99 q(0(x1)) -> p(p(s(s(0(s(s(s(s(x1))))))))) 2.64/0.99 q(s(x1)) -> p(p(s(s(s(s(s(s(r(p(p(s(s(x1))))))))))))) 2.64/0.99 r(0(x1)) -> p(s(p(s(0(p(p(p(s(s(s(x1))))))))))) 2.64/0.99 r(s(x1)) -> p(s(p(s(s(q(p(s(p(s(x1)))))))))) 2.64/0.99 p(p(s(x1))) -> p(x1) 2.64/0.99 p(s(x1)) -> x1 2.64/0.99 p(0(x1)) -> 0(s(s(s(x1)))) 2.64/0.99 2.64/0.99 Proof: 2.64/0.99 Bounds Processor: 2.64/0.99 bound: 1 2.64/0.99 enrichment: match 2.64/0.99 automaton: 2.64/0.99 final states: {40,2,39,30,22,11,1} 2.64/0.99 transitions: 2.64/0.99 p1(55) -> 56* 2.64/0.99 p1(47) -> 48* 2.64/0.99 p1(49) -> 50* 2.64/0.99 p1(41) -> 42* 2.64/0.99 f50() -> 2* 2.64/0.99 p0(20) -> 21* 2.64/0.99 p0(10) -> 1* 2.64/0.99 p0(5) -> 23* 2.64/0.99 p0(32) -> 33* 2.64/0.99 p0(27) -> 28* 2.64/0.99 p0(12) -> 13* 2.64/0.99 p0(2) -> 39* 2.64/0.99 p0(29) -> 22* 2.64/0.99 p0(24) -> 25* 2.64/0.99 p0(9) -> 10* 2.64/0.99 p0(4) -> 12* 2.64/0.99 p0(36) -> 37* 2.64/0.99 p0(21) -> 11* 2.64/0.99 p0(38) -> 30* 2.64/0.99 p0(23) -> 24* 2.64/0.99 p0(3) -> 31* 2.64/0.99 s0(35) -> 36* 2.64/0.99 s0(15) -> 16* 2.64/0.99 s0(5) -> 6* 2.64/0.99 s0(37) -> 38* 2.64/0.99 s0(17) -> 18* 2.64/0.99 s0(7) -> 8* 2.64/0.99 s0(2) -> 3* 2.64/0.99 s0(34) -> 35* 2.64/0.99 s0(19) -> 20* 2.64/0.99 s0(14) -> 15* 2.64/0.99 s0(4) -> 5* 2.64/0.99 s0(31) -> 32* 2.64/0.99 s0(26) -> 27* 2.64/0.99 s0(16) -> 17* 2.64/0.99 s0(28) -> 29* 2.64/0.99 s0(18) -> 19* 2.64/0.99 s0(8) -> 9* 2.64/0.99 s0(3) -> 4* 2.64/0.99 00(25) -> 26* 2.64/0.99 00(5) -> 40* 2.64/0.99 00(6) -> 7* 2.64/0.99 r0(13) -> 14* 2.64/0.99 q0(33) -> 34* 2.64/0.99 1 -> 34* 2.64/0.99 2 -> 39,42,31 2.64/0.99 3 -> 48,12,41 2.64/0.99 4 -> 23,47 2.64/0.99 7 -> 56,1 2.64/0.99 8 -> 10,55 2.64/0.99 11 -> 34* 2.64/0.99 18 -> 50,11 2.64/0.99 19 -> 21,49 2.64/0.99 22 -> 14* 2.64/0.99 26 -> 28* 2.64/0.99 28 -> 22* 2.64/0.99 30 -> 14* 2.64/0.99 31 -> 33* 2.64/0.99 35 -> 37* 2.64/0.99 37 -> 30* 2.64/0.99 40 -> 39* 2.64/0.99 42 -> 25,13 2.64/0.99 48 -> 24* 2.64/0.99 50 -> 11* 2.64/0.99 56 -> 1* 2.64/0.99 problem: 2.64/0.99 2.64/0.99 Qed 2.64/0.99 EOF