0.00/0.02	NO
0.00/0.02	(ignored inputs)COMMENT doi:10.2168/LMCS-8 ( 3:4 ) 2012 [64] Example 3.3 ( R_3 ) submitted by: Thomas Sternagel and Aart Middeldorp
0.00/0.02	Conditional Rewrite Rules:
0.00/0.02	   [ f(?x) -> ?x | ?x == e,
0.00/0.02	     g(d,?x,?x) -> A,
0.00/0.02	     h(?x,?x) -> g(?x,?x,f(k)),
0.00/0.02	     a -> c,
0.00/0.02	     a -> d,
0.00/0.02	     b -> c,
0.00/0.02	     b -> d,
0.00/0.02	     c -> e,
0.00/0.02	     c -> l,
0.00/0.02	     k -> l,
0.00/0.02	     k -> m,
0.00/0.02	     d -> m ]
0.00/0.02	Check whether all rules are type 3
0.00/0.02	OK
0.00/0.02	Check whether the input is deterministic
0.00/0.02	OK
0.00/0.02	Result of unraveling:
0.00/0.02	   [ f(?x) -> U0(?x,?x),
0.00/0.02	     U0(e,?x) -> ?x,
0.00/0.02	     g(d,?x,?x) -> A,
0.00/0.02	     h(?x,?x) -> g(?x,?x,f(k)),
0.00/0.02	     a -> c,
0.00/0.02	     a -> d,
0.00/0.02	     b -> c,
0.00/0.02	     b -> d,
0.00/0.02	     c -> e,
0.00/0.02	     c -> l,
0.00/0.02	     k -> l,
0.00/0.02	     k -> m,
0.00/0.02	     d -> m ]
0.00/0.02	Check whether U(R) is terminating
0.00/0.02	OK
0.00/0.02	Check whether the input is weakly left-linear
0.00/0.02	not weakly left-linear
0.00/0.02	Check whether U(R) is confluent
0.00/0.02	U(R) is not confluent
0.00/0.02	Conditional critical pairs (CCPs):
0.00/0.02	   [ g(m,?x_1,?x_1) = A,
0.00/0.02	     d = c,
0.00/0.02	     c = d,
0.00/0.02	     d = c,
0.00/0.02	     c = d,
0.00/0.02	     l = e,
0.00/0.02	     e = l,
0.00/0.02	     m = l,
0.00/0.02	     l = m ]
0.00/0.02	Check whether the input is almost orthogonale
0.00/0.03	not almost orthogonal
0.00/0.03	not weakly left-linear
0.00/0.03	Check whether the input is absolutely irreducible
0.00/0.03	OK
0.00/0.03	Check whether all CCPs are joinable
0.00/0.03	Some ccp may be feasible but not joinable
0.00/0.03	   [ g(m,?x_1,?x_1) = A,
0.00/0.03	     d = c,
0.00/0.03	     c = d,
0.00/0.03	     d = c,
0.00/0.03	     c = d,
0.00/0.03	     l = e,
0.00/0.03	     e = l,
0.00/0.03	     m = l,
0.00/0.03	     l = m ]
0.00/0.03	A feasible but not joinable CCP: g(m,?x_1,?x_1) = A
0.00/0.03	/export/starexec/sandbox/benchmark/theBenchmark.trs: Success(not CR)
0.00/0.03	(1 msec.)
0.00/0.03	EOF