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 ys)
0.00/0.00	    (RULES
0.00/0.00	      lt(x,0) -> false
0.00/0.00	      lt(0,s(y)) -> true
0.00/0.00	      lt(s(x),s(y)) -> lt(x,y)
0.00/0.00	      cons(x,cons(y,ys)) -> cons(y,cons(x,ys)) | lt(x,y) == true
0.00/0.00	    )
0.00/0.00	    (COMMENT doi:10.1007/11805618_3 [69] p. 27 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 ys)
0.00/0.00	    (RULES
0.00/0.00	      lt(x,0) -> false
0.00/0.00	      lt(0,s(y)) -> true
0.00/0.00	      lt(s(x),s(y)) -> lt(x,y)
0.00/0.00	      cons(x,cons(y,ys)) -> cons(y,cons(x,ys)) | lt(x,y) == true
0.00/0.00	    )
0.00/0.00	    (COMMENT doi:10.1007/11805618_3 [69] p. 27 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 ys)
0.00/0.00	    (RULES
0.00/0.00	      lt(x,0) -> false
0.00/0.00	      lt(0,s(y)) -> true
0.00/0.00	      lt(s(x),s(y)) -> lt(x,y)
0.00/0.00	      cons(x,cons(y,ys)) -> cons(y,cons(x,ys)) | lt(x,y) == true
0.00/0.00	    )
0.00/0.00	    (COMMENT doi:10.1007/11805618_3 [69] p. 27 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 ys)
0.00/0.00	    (RULES
0.00/0.00	      lt(x,0) -> false
0.00/0.00	      lt(0,s(y)) -> true
0.00/0.00	      lt(s(x),s(y)) -> lt(x,y)
0.00/0.00	      cons(x,cons(y,ys)) -> cons(y,cons(x,ys)) | lt(x,y) == true
0.00/0.00	    )
0.00/0.00	    (COMMENT doi:10.1007/11805618_3 [69] p. 27 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 x3)
0.00/0.00	    (RULES
0.00/0.00	      lt(x1,0) -> false
0.00/0.00	      lt(0,s(x1)) -> true
0.00/0.00	      lt(s(x1),s(x2)) -> lt(x1,x2)
0.00/0.00	      cons(x1,cons(x2,x3)) -> u1(lt(x1,x2),x1,x2,x3)
0.00/0.00	      u1(true,x1,x2,x3) -> cons(x2,cons(x1,x3))
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