0.00/0.00	MAYBE
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 xs ys x)
0.00/0.00	    (RULES
0.00/0.00	      isnoc(cons(y,nil)) -> tp2(nil,y)
0.00/0.00	      isnoc(cons(x,ys)) -> tp2(cons(x,xs),y) | isnoc(ys) == tp2(xs,y)
0.00/0.00	    )
0.00/0.00	    (COMMENT doi:10.2168/LMCS-8 ( 3:4 ) 2012 [64] Example 6.7 ( R_20 ) 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 y xs ys x)
0.00/0.00	    (RULES
0.00/0.00	      isnoc(cons(y,nil)) -> tp2(nil,y)
0.00/0.00	      isnoc(cons(x,ys)) -> tp2(cons(x,xs),y) | isnoc(ys) == tp2(xs,y)
0.00/0.00	    )
0.00/0.00	    (COMMENT doi:10.2168/LMCS-8 ( 3:4 ) 2012 [64] Example 6.7 ( R_20 ) 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 y xs ys x)
0.00/0.00	    (RULES
0.00/0.00	      isnoc(cons(y,nil)) -> tp2(nil,y)
0.00/0.00	      isnoc(cons(x,ys)) -> tp2(cons(x,xs),y) | isnoc(ys) == tp2(xs,y)
0.00/0.00	    )
0.00/0.00	    (COMMENT doi:10.2168/LMCS-8 ( 3:4 ) 2012 [64] Example 6.7 ( R_20 ) 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 y xs ys x)
0.00/0.00	    (RULES
0.00/0.00	      isnoc(cons(y,nil)) -> tp2(nil,y)
0.00/0.00	      isnoc(cons(x,ys)) -> tp2(cons(x,xs),y) | isnoc(ys) == tp2(xs,y)
0.00/0.00	    )
0.00/0.00	    (COMMENT doi:10.2168/LMCS-8 ( 3:4 ) 2012 [64] Example 6.7 ( R_20 ) 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 x4 x3)
0.00/0.00	    (RULES
0.00/0.00	      isnoc(cons(x1,nil)) -> tp2(nil,x1)
0.00/0.00	      isnoc(cons(x1,x2)) -> u1(isnoc(x2),x1,x2)
0.00/0.00	      u1(tp2(x3,x4),x1,x2) -> tp2(cons(x1,x3),x4)
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 joinability of conditional CPs (via narrowing trees).
0.00/0.00	
0.00/0.00	MAYBE
0.00/0.00	EOF