0.00/0.00	YES
0.00/0.00	
0.00/0.00	
0.00/0.00	Succeeded in reading "/export/starexec/sandbox2/benchmark/theBenchmark.trs".
0.00/0.00	    (CONDITIONTYPE ORIENTED)
0.00/0.00	    (VAR y x z v u)
0.00/0.00	    (RULES
0.00/0.00	      last(cons(x,y)) -> x | y == nil
0.00/0.00	      last(cons(x,y)) -> z | y == cons(u,v), last(y) == z
0.00/0.00	    )
0.00/0.00	    (COMMENT submitted by: Christian Sternagel)
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 z v u)
0.00/0.00	    (RULES
0.00/0.00	      last(cons(x,y)) -> x | y == nil
0.00/0.00	      last(cons(x,y)) -> z | y == cons(u,v), last(y) == z
0.00/0.00	    )
0.00/0.00	    (COMMENT submitted by: Christian Sternagel)
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 z v u)
0.00/0.00	    (RULES
0.00/0.00	      last(cons(x,y)) -> x | y == nil
0.00/0.00	      last(cons(x,y)) -> z | y == cons(u,v), last(y) == z
0.00/0.00	    )
0.00/0.00	    (COMMENT submitted by: Christian Sternagel)
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 z v u)
0.00/0.00	    (RULES
0.00/0.00	      last(cons(x,y)) -> x | y == nil
0.00/0.00	      last(cons(x,y)) -> z | y == cons(u,v), last(y) == z
0.00/0.00	    )
0.00/0.00	    (COMMENT submitted by: Christian Sternagel)
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 x4 x3 x5)
0.00/0.00	    (RULES
0.00/0.00	      last(cons(x1,x2)) -> u1(x2,x1,x2)
0.00/0.00	      u1(nil,x1,x2) -> x1
0.00/0.00	      u1(cons(x3,x4),x1,x2) -> u2(last(x2),x3,x4,x1,x2)
0.00/0.00	      u2(x5,x3,x4,x1,x2) -> x5
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	U(R) is confluent.
0.00/0.00	
0.00/0.00	YES
0.00/0.00	EOF