/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Input TRS: 1: is_empty(nil()) -> true() 2: is_empty(cons(x,l)) -> false() 3: hd(cons(x,l)) -> x 4: tl(cons(x,l)) -> l 5: append(l1,l2) -> ifappend(l1,l2,l1) 6: ifappend(l1,l2,nil()) -> l2 7: ifappend(l1,l2,cons(x,l)) -> cons(x,append(l,l2)) Number of strict rules: 7 Direct poly ... failed. Freezing ... failed. Dependency Pairs: #1: #ifappend(l1,l2,cons(x,l)) -> #append(l,l2) #2: #append(l1,l2) -> #ifappend(l1,l2,l1) Number of SCCs: 1, DPs: 2 SCC { #1 #2 } Sum... succeeded. hd(x1) w: (0) #append(x1,x2) w: (1 + x1) #is_empty(x1) w: (0) ifappend(x1,x2,x3) w: (0) false() w: (0) true() w: (0) #tl(x1) w: (0) append(x1,x2) w: (0) tl(x1) w: (0) nil() w: (0) is_empty(x1) w: (0) #hd(x1) w: (0) cons(x1,x2) w: (2 + x2) #ifappend(x1,x2,x3) w: (x3) USABLE RULES: { } Removed DPs: #1 #2 Number of SCCs: 0, DPs: 0