0.00/0.00	YES
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	      f(x) -> c | a == b
0.00/0.00	      g(x,x) -> g(f(a),f(b))
0.00/0.00	    )
0.00/0.00	    (COMMENT doi:10.1016/j.jlap.2009.08.001 [73] Example 16 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 x)
0.00/0.00	    (RULES
0.00/0.00	      f(x) -> c | a == b
0.00/0.00	      g(x,x) -> g(f(a),f(b))
0.00/0.00	    )
0.00/0.00	    (COMMENT doi:10.1016/j.jlap.2009.08.001 [73] Example 16 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	    (VAR x)
0.00/0.00	    (RULES
0.00/0.00	      g(x,x) -> g(f(a),f(b))
0.00/0.00	    )
0.00/0.00	    (COMMENT doi:10.1016/j.jlap.2009.08.001 [73] Example 16 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	    (VAR x)
0.00/0.00	    (RULES
0.00/0.00	      g(x,x) -> g(f(a),f(b))
0.00/0.00	    )
0.00/0.00	    (COMMENT doi:10.1016/j.jlap.2009.08.001 [73] Example 16 submitted by: Thomas Sternagel and Aart Middeldorp)
0.00/0.00	
0.00/0.00	Try to prove confluence of the following TRS:
0.00/0.00	    (VAR x)
0.00/0.00	    (RULES
0.00/0.00	      g(x,x) -> g(f(a),f(b))
0.00/0.00	    )
0.00/0.00	    (COMMENT doi:10.1016/j.jlap.2009.08.001 [73] Example 16 submitted by: Thomas Sternagel and Aart Middeldorp)
0.00/0.00	
0.00/0.00	Not othogonal.
0.00/0.00	
0.00/0.00	Try to prove termination.
0.00/0.00	
0.00/0.00	Succeeded in proving termination.
0.00/0.00	
0.00/0.00	Try to prove joinability of CPs.
0.00/0.00	
0.00/0.00	Succeeded in proving joinablity of all CPs.
0.00/0.00	
0.00/0.00	Proved via the following terminating and CP-joinable TRS:
0.00/0.00	(VAR x)
0.00/0.00	(RULES
0.00/0.00	  g(x,x) -> g(f(a),f(b))
0.00/0.00	)
0.00/0.00	(COMMENT doi:10.1016/j.jlap.2009.08.001 [73] Example 16 submitted by: Thomas Sternagel and Aart Middeldorp)
0.00/0.00	
0.00/0.00	YES
0.00/0.00	EOF