/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Input TRS: 1: a__first(0(),X) -> nil() 2: a__first(s(X),cons(Y,Z)) -> cons(mark(Y),first(X,Z)) 3: a__from(X) -> cons(mark(X),from(s(X))) 4: mark(first(X1,X2)) -> a__first(mark(X1),mark(X2)) 5: mark(from(X)) -> a__from(mark(X)) 6: mark(0()) -> 0() 7: mark(nil()) -> nil() 8: mark(s(X)) -> s(mark(X)) 9: mark(cons(X1,X2)) -> cons(mark(X1),X2) 10: a__first(X1,X2) -> first(X1,X2) 11: a__from(X) -> from(X) Number of strict rules: 11 Direct poly ... failed. Freezing ... failed. Dependency Pairs: #1: #a__first(s(X),cons(Y,Z)) -> #mark(Y) #2: #mark(cons(X1,X2)) -> #mark(X1) #3: #mark(from(X)) -> #a__from(mark(X)) #4: #mark(from(X)) -> #mark(X) #5: #a__from(X) -> #mark(X) #6: #mark(s(X)) -> #mark(X) #7: #mark(first(X1,X2)) -> #a__first(mark(X1),mark(X2)) #8: #mark(first(X1,X2)) -> #mark(X1) #9: #mark(first(X1,X2)) -> #mark(X2) Number of SCCs: 1, DPs: 9 SCC { #1..9 } Sum... succeeded. s(x1) w: (3 + x1) #a__from(x1) w: (8896 + x1) #a__first(x1,x2) w: (8857 + x2 + x1) a__from(x1) w: (40 + x1) #mark(x1) w: (8857 + x1) 0() w: (2438) from(x1) w: (40 + x1) nil() w: (2) mark(x1) w: (x1) first(x1,x2) w: (1 + x2 + x1) a__first(x1,x2) w: (1 + x2 + x1) cons(x1,x2) w: (1 + x1) USABLE RULES: { 1..11 } Removed DPs: #1..9 Number of SCCs: 0, DPs: 0