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 x)
0.00/0.00	    (RULES
0.00/0.00	      a -> b
0.00/0.00	      f(x) -> c | x == a
0.00/0.00	    )
0.00/0.00	    (COMMENT doi:10.1007/3-540-59200-8_56 [68] Example 3.3 submitted by: Raul Gutierrez and Salvador Lucas)
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 x)
0.00/0.00	    (RULES
0.00/0.00	      a -> b
0.00/0.00	      f(x) -> c | x == a
0.00/0.00	    )
0.00/0.00	    (COMMENT doi:10.1007/3-540-59200-8_56 [68] Example 3.3 submitted by: Raul Gutierrez and Salvador Lucas)
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 x)
0.00/0.00	    (RULES
0.00/0.00	      a -> b
0.00/0.00	      f(x) -> c | x == a
0.00/0.00	    )
0.00/0.00	    (COMMENT doi:10.1007/3-540-59200-8_56 [68] Example 3.3 submitted by: Raul Gutierrez and Salvador Lucas)
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 x)
0.00/0.00	    (RULES
0.00/0.00	      a -> b
0.00/0.00	      f(x) -> c | x == a
0.00/0.00	    )
0.00/0.00	    (COMMENT doi:10.1007/3-540-59200-8_56 [68] Example 3.3 submitted by: Raul Gutierrez and Salvador Lucas)
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	      a -> b
0.00/0.00	      f(x1) -> u1(x1,x1)
0.00/0.00	      u1(a,x1) -> c
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 termination of U(R).
0.00/0.00	
0.00/0.00	MAYBE
0.00/0.00	EOF