0.00/0.00	YES
0.00/0.00	
0.00/0.00	
0.00/0.00	Succeeded in reading "/export/starexec/sandbox2/benchmark/theBenchmark.trs".
0.00/0.00	    (CONDITIONTYPE ORIENTED)
0.00/0.00	    (VAR y x)
0.00/0.00	    (RULES
0.00/0.00	      f(c(x),c(c(y))) -> a(a(x)) | c(f(x,y)) == c(a(b))
0.00/0.00	      f(c(c(c(x))),y) -> a(y) | c(f(c(x),c(c(y)))) == c(a(a(b)))
0.00/0.00	      h(b) -> b
0.00/0.00	      h(a(a(x))) -> a(b) | h(x) == b
0.00/0.00	    )
0.00/0.00	    (COMMENT Example 1 in extended version of [92])
0.00/0.00	
0.00/0.00	No "->="-rules.
0.00/0.00	
0.00/0.00	Decomposed conditions if possible.
0.00/0.00	    (CONDITIONTYPE ORIENTED)
0.00/0.00	    (VAR y x)
0.00/0.00	    (RULES
0.00/0.00	      f(c(x),c(c(y))) -> a(a(x)) | f(x,y) == a(b)
0.00/0.00	      f(c(c(c(x))),y) -> a(y) | f(c(x),c(c(y))) == a(a(b))
0.00/0.00	      h(b) -> b
0.00/0.00	      h(a(a(x))) -> a(b) | h(x) == b
0.00/0.00	    )
0.00/0.00	    (COMMENT Example 1 in extended version of [92])
0.00/0.00	
0.00/0.00	Removed infeasible rules as much as possible.
0.00/0.00	    (CONDITIONTYPE ORIENTED)
0.00/0.00	    (VAR y x)
0.00/0.00	    (RULES
0.00/0.00	      h(b) -> b
0.00/0.00	      h(a(a(x))) -> a(b) | h(x) == b
0.00/0.00	    )
0.00/0.00	    (COMMENT Example 1 in extended version of [92])
0.00/0.00	
0.00/0.00	Try to disprove confluence of the following (C)TRS:
0.00/0.00	    (CONDITIONTYPE ORIENTED)
0.00/0.00	    (VAR y x)
0.00/0.00	    (RULES
0.00/0.00	      h(b) -> b
0.00/0.00	      h(a(a(x))) -> a(b) | h(x) == b
0.00/0.00	    )
0.00/0.00	    (COMMENT Example 1 in extended version of [92])
0.00/0.00	
0.00/0.00	Failed either to apply SR and U for normal 1CTRSs to the above CTRS or to prove confluence of any converted TRSs.
0.00/0.00	
0.00/0.00	Try to apply SR and U for 3DCTRSs to the above CTRS.
0.00/0.00	
0.00/0.00	Succeeded in applying U for 3DCTRSs to the above CTRS.
0.00/0.00	U(R) =
0.00/0.00	    (VAR x1)
0.00/0.00	    (RULES
0.00/0.00	      h(b) -> b
0.00/0.00	      h(a(a(x1))) -> u1(h(x1),x1)
0.00/0.00	      u1(b,x1) -> a(b)
0.00/0.00	    )
0.00/0.00	
0.00/0.00	U for 3DCTRSs is sound for the above CTRS.
0.00/0.00	
0.00/0.00	U(R) is confluent.
0.00/0.00	
0.00/0.00	YES
0.00/0.00	EOF