/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__2nd(cons(X,cons(Y,Z))) -> mark(Y) 2: a__from(X) -> cons(mark(X),from(s(X))) 3: mark(2nd(X)) -> a__2nd(mark(X)) 4: mark(from(X)) -> a__from(mark(X)) 5: mark(cons(X1,X2)) -> cons(mark(X1),X2) 6: mark(s(X)) -> s(mark(X)) 7: a__2nd(X) -> 2nd(X) 8: a__from(X) -> from(X) Number of strict rules: 8 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #a__from(X) -> #mark(X) #2: #mark(s(X)) -> #mark(X) #3: #mark(cons(X1,X2)) -> #mark(X1) #4: #mark(2nd(X)) -> #a__2nd(mark(X)) #5: #mark(2nd(X)) -> #mark(X) #6: #a__2nd(cons(X,cons(Y,Z))) -> #mark(Y) #7: #mark(from(X)) -> #a__from(mark(X)) #8: #mark(from(X)) -> #mark(X) Number of SCCs: 1, DPs: 8 SCC { #1..8 } POLO(Sum)... POLO(max)... succeeded. s w: x1 #a__from w: x1 + 1 a__from w: x1 + 3 2nd w: x1 + 3 a__2nd w: x1 + 3 #a__2nd w: x1 + 1 #mark w: x1 from w: x1 + 3 mark w: x1 + 1 cons w: max(x1 + 1, x2) USABLE RULES: { 1..8 } Removed DPs: #1 #3..8 Number of SCCs: 1, DPs: 1 SCC { #2 } POLO(Sum)... succeeded. s w: x1 + 1 #a__from w: 1 a__from w: 2 2nd w: x1 + 2 a__2nd w: 1 #a__2nd w: 0 #mark w: x1 + 1 from w: 3 mark w: 1 cons w: 3 USABLE RULES: { } Removed DPs: #2 Number of SCCs: 0, DPs: 0