104.20/30.80 MAYBE 104.20/30.80 (UNSUPPORTED) 104.20/30.80 ConCon could not decide confluence of the system. 104.20/30.80 \cite{ALS94}, Theorem 4.1 does not apply. 104.20/30.80 This system is of type 3 or smaller. 104.20/30.80 This system is absolutely deterministic. 104.20/30.80 The external tool could not decide termination of the system. 104.20/30.80 Call external tool: 104.20/30.80 ./ttt2.sh 104.20/30.80 Input: 104.20/30.80 (VAR x z q y n) 104.20/30.80 (RULES 104.20/30.80 mult(s(x), y) -> add(mult(x, y), y) 104.20/30.80 add(s(x), y) -> s(add(x, y)) 104.20/30.80 lte(s(x), 0) -> false 104.20/30.80 minus(0, s(y)) -> 0 104.20/30.80 div(s(x), s(y)) -> U2(lte(s(x), y), x, y) 104.20/30.80 U2(false, x, y) -> U3(div(minus(x, y), s(y)), x, y) 104.20/30.80 U3(q, x, y) -> s(q) 104.20/30.80 div(0, s(x)) -> 0 104.20/30.80 mod(x, s(y)) -> U1(lte(s(y), x), x, y) 104.20/30.80 U1(false, x, y) -> x 104.20/30.80 mod(x, s(y)) -> U1(lte(s(y), x), x, y) 104.20/30.80 U1(true, x, y) -> mod(minus(x, s(y)), s(y)) 104.20/30.80 minus(s(x), s(y)) -> minus(x, y) 104.20/30.80 div(s(x), s(y)) -> U2(lte(s(x), y), x, y) 104.20/30.80 U2(true, x, y) -> 0 104.20/30.80 power(x, n) -> U4(mod(n, s(s(0))), x, n) 104.20/30.80 U4(s(z), x, n) -> U6(power(x, div(n, s(s(0)))), x, n, z) 104.20/30.80 U6(y, x, n, z) -> mult(mult(y, y), x) 104.20/30.80 mult(0, y) -> 0 104.20/30.80 power(x, 0) -> s(0) 104.20/30.80 mod(x, 0) -> x 104.20/30.80 lte(s(x), s(y)) -> lte(x, y) 104.20/30.80 add(0, x) -> x 104.20/30.80 mod(0, y) -> 0 104.20/30.80 minus(x, 0) -> x 104.20/30.80 lte(0, y) -> true 104.20/30.80 power(x, n) -> U4(mod(n, s(s(0))), x, n) 104.20/30.80 U4(0, x, n) -> U5(power(x, div(n, s(s(0)))), x, n) 104.20/30.80 U5(y, x, n) -> mult(mult(y, y), s(0)) 104.20/30.80 ) 104.20/30.80 104.20/30.81 EOF