101.77/30.87 MAYBE 101.77/30.87 (UNSUPPORTED) 101.77/30.87 ConCon could not decide confluence of the system. 101.77/30.87 \cite{ALS94}, Theorem 4.1 does not apply. 101.77/30.87 This system is of type 3 or smaller. 101.77/30.87 This system is absolutely deterministic. 101.77/30.87 The external tool could not decide termination of the system. 101.77/30.87 Call external tool: 101.77/30.87 ./ttt2.sh 101.77/30.87 Input: 101.77/30.87 (VAR x y n z) 101.77/30.87 (RULES 101.77/30.87 mult(s(x), y) -> add(mult(x, y), y) 101.77/30.87 add(s(x), y) -> s(add(x, y)) 101.77/30.87 lte(s(x), 0) -> false 101.77/30.87 minus(0, s(y)) -> 0 101.77/30.87 div(0, s(x)) -> 0 101.77/30.87 mod(x, s(y)) -> U1(lte(s(y), x), x, y) 101.77/30.87 U1(false, x, y) -> x 101.77/30.87 div(s(x), s(y)) -> U2(lte(s(x), y), x, y) 101.77/30.87 U2(false, x, y) -> s(div(minus(x, y), s(y))) 101.77/30.87 mod(x, s(y)) -> U1(lte(s(y), x), x, y) 101.77/30.87 U1(true, x, y) -> mod(minus(x, s(y)), s(y)) 101.77/30.87 minus(s(x), s(y)) -> minus(x, y) 101.77/30.87 div(s(x), s(y)) -> U2(lte(s(x), y), x, y) 101.77/30.87 U2(true, x, y) -> 0 101.77/30.87 mult(0, y) -> 0 101.77/30.87 power(x, 0) -> s(0) 101.77/30.87 mod(x, 0) -> x 101.77/30.87 lte(s(x), s(y)) -> lte(x, y) 101.77/30.87 add(0, x) -> x 101.77/30.87 mod(0, y) -> 0 101.77/30.87 power(x, n) -> U3(mod(n, s(s(0))), x, n) 101.77/30.87 U3(0, x, n) -> mult(mult(power(x, div(n, s(s(0)))), power(x, div(n, s(s(0))))), s(0)) 101.77/30.87 power(x, n) -> U3(mod(n, s(s(0))), x, n) 101.77/30.87 U3(s(z), x, n) -> mult(mult(power(x, div(n, s(s(0)))), power(x, div(n, s(s(0))))), x) 101.77/30.87 minus(x, 0) -> x 101.77/30.87 lte(0, y) -> true 101.77/30.87 ) 101.77/30.87 101.83/30.87 EOF