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 z x)
0.00/0.00	    (RULES
0.00/0.00	      a -> c
0.00/0.00	      g(a) -> h(b)
0.00/0.00	      h(b) -> g(c)
0.00/0.00	      f(x) -> z | g(x) == h(z)
0.00/0.00	    )
0.00/0.00	    (COMMENT doi:10.1007/3-540-58216-9_40 [45] Example 4.1.b submitted by: Thomas Sternagel and Aart Middeldorp)
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 z x)
0.00/0.00	    (RULES
0.00/0.00	      a -> c
0.00/0.00	      g(a) -> h(b)
0.00/0.00	      h(b) -> g(c)
0.00/0.00	      f(x) -> z | g(x) == h(z)
0.00/0.00	    )
0.00/0.00	    (COMMENT doi:10.1007/3-540-58216-9_40 [45] Example 4.1.b submitted by: Thomas Sternagel and Aart Middeldorp)
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 z x)
0.00/0.00	    (RULES
0.00/0.00	      a -> c
0.00/0.00	      g(a) -> h(b)
0.00/0.00	      h(b) -> g(c)
0.00/0.00	      f(x) -> z | g(x) == h(z)
0.00/0.00	    )
0.00/0.00	    (COMMENT doi:10.1007/3-540-58216-9_40 [45] Example 4.1.b submitted by: Thomas Sternagel and Aart Middeldorp)
0.00/0.00	
0.00/0.00	Try to disprove confluence of the following (C)TRS:
0.00/0.00	    (CONDITIONTYPE ORIENTED)
0.00/0.01	    (VAR z x)
0.00/0.01	    (RULES
0.00/0.01	      a -> c
0.00/0.01	      g(a) -> h(b)
0.00/0.01	      h(b) -> g(c)
0.00/0.01	      f(x) -> z | g(x) == h(z)
0.00/0.01	    )
0.00/0.01	    (COMMENT doi:10.1007/3-540-58216-9_40 [45] Example 4.1.b submitted by: Thomas Sternagel and Aart Middeldorp)
0.00/0.01	
0.00/0.01	Failed either to apply SR and U for normal 1CTRSs to the above CTRS or to prove confluence of any converted TRSs.
0.00/0.01	
0.00/0.01	Try to apply SR and U for 3DCTRSs to the above CTRS.
0.00/0.01	
0.00/0.01	Succeeded in applying U for 3DCTRSs to the above CTRS.
0.00/0.01	U(R) =
0.00/0.01	    (VAR x1 x2)
0.00/0.01	    (RULES
0.00/0.01	      a -> c
0.00/0.01	      g(a) -> h(b)
0.00/0.01	      h(b) -> g(c)
0.00/0.01	      f(x1) -> u1(g(x1),x1)
0.00/0.01	      u1(h(x2),x1) -> x2
0.00/0.01	    )
0.00/0.01	
0.00/0.01	U for 3DCTRSs is sound for the above CTRS.
0.00/0.01	
0.00/0.01	Failed to prove confluence of U(R).
0.00/0.01	
0.00/0.01	Try to prove operational termination of R, i.e., termination of U(R).
0.00/0.01	
0.00/0.01	Succeeded in proving operational termination of R.
0.00/0.01	
0.00/0.01	Try to prove joinability of all (conditional) CPs.
0.00/0.01	
0.00/0.01	Failed to prove termination of U(R).
0.00/0.01	
0.00/0.01	MAYBE
0.00/0.01	EOF