0.00/0.00	MAYBE
0.00/0.00	
0.00/0.00	
0.00/0.00	Succeeded in reading "/export/starexec/sandbox/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(x,y) -> g(x) | a == d
0.00/0.00	      f(x,y) -> h(x) | b == d
0.00/0.00	      g(s(x)) -> x
0.00/0.00	      h(s(x)) -> x
0.00/0.00	      a -> d
0.00/0.00	      b -> d
0.00/0.00	    )
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(x,y) -> g(x) | a == d
0.00/0.00	      f(x,y) -> h(x) | b == d
0.00/0.00	      g(s(x)) -> x
0.00/0.00	      h(s(x)) -> x
0.00/0.00	      a -> d
0.00/0.00	      b -> d
0.00/0.00	    )
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	      f(x,y) -> g(x) | a == d
0.00/0.00	      f(x,y) -> h(x) | b == d
0.00/0.00	      g(s(x)) -> x
0.00/0.00	      h(s(x)) -> x
0.00/0.00	      a -> d
0.00/0.00	      b -> d
0.00/0.00	    )
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	      f(x,y) -> g(x) | a == d
0.00/0.00	      f(x,y) -> h(x) | b == d
0.00/0.00	      g(s(x)) -> x
0.00/0.00	      h(s(x)) -> x
0.00/0.00	      a -> d
0.00/0.00	      b -> d
0.00/0.00	    )
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 x2 x1)
0.00/0.00	    (RULES
0.00/0.00	      f(x1,x2) -> u1(a,x1,x2)
0.00/0.00	      u1(d,x1,x2) -> g(x1)
0.00/0.00	      f(x1,x2) -> u2(b,x1,x2)
0.00/0.00	      u2(d,x1,x2) -> h(x1)
0.00/0.00	      g(s(x1)) -> x1
0.00/0.00	      h(s(x1)) -> x1
0.00/0.00	      a -> d
0.00/0.00	      b -> d
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	Failed to prove confluence of U(R).
0.00/0.00	
0.00/0.00	Try to prove operational termination of R, i.e., termination of U(R).
0.00/0.00	
0.00/0.00	Succeeded in proving operational termination of R.
0.00/0.00	
0.00/0.00	Try to prove joinability of all (conditional) CPs.
0.00/0.00	
0.00/0.00	Failed to prove joinability of conditional CPs (via narrowing trees).
0.00/0.00	
0.00/0.00	MAYBE
0.00/0.00	EOF