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 y)
0.00/0.00	    (RULES
0.00/0.00	      pin(x) -> pout(g(x))
0.00/0.00	      pin(x) -> pout(f(y)) | pin(x) == pout(g(y))
0.00/0.00	    )
0.00/0.00	    (COMMENT doi:10.1007/s002000100064 [65] Example 5.1 ( R_P ) 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 y)
0.00/0.00	    (RULES
0.00/0.00	      pin(x) -> pout(g(x))
0.00/0.00	      pin(x) -> pout(f(y)) | pin(x) == pout(g(y))
0.00/0.00	    )
0.00/0.00	    (COMMENT doi:10.1007/s002000100064 [65] Example 5.1 ( R_P ) 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 x y)
0.00/0.00	    (RULES
0.00/0.00	      pin(x) -> pout(g(x))
0.00/0.00	      pin(x) -> pout(f(y)) | pin(x) == pout(g(y))
0.00/0.00	    )
0.00/0.00	    (COMMENT doi:10.1007/s002000100064 [65] Example 5.1 ( R_P ) 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)
0.00/0.00	    (VAR x y)
0.00/0.00	    (RULES
0.00/0.00	      pin(x) -> pout(g(x))
0.00/0.00	      pin(x) -> pout(f(y)) | pin(x) == pout(g(y))
0.00/0.00	    )
0.00/0.00	    (COMMENT doi:10.1007/s002000100064 [65] Example 5.1 ( R_P ) submitted by: Thomas Sternagel and Aart Middeldorp)
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 x2)
0.00/0.00	    (RULES
0.00/0.00	      pin(x1) -> pout(g(x1))
0.00/0.00	      pin(x1) -> u1(pin(x1),x1)
0.00/0.00	      u1(pout(g(x2)),x1) -> pout(f(x2))
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	Failed to prove operational termination of R.
0.00/0.00	
0.00/0.00	MAYBE
0.00/0.00	EOF