/export/starexec/sandbox2/solver/bin/starexec_run_tct_dc /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- WORST_CASE(?,O(n^1)) * Step 1: Bounds WORST_CASE(?,O(n^1)) + Considered Problem: - Strict TRS: activate(X) -> X activate(n__zeros()) -> zeros() tail(cons(X,XS)) -> activate(XS) zeros() -> cons(0(),n__zeros()) zeros() -> n__zeros() - Signature: {activate/1,tail/1,zeros/0} / {0/0,cons/2,n__zeros/0} - Obligation: derivational complexity wrt. signature {0,activate,cons,n__zeros,tail,zeros} + Applied Processor: Bounds {initialAutomaton = minimal, enrichment = match} + Details: The problem is match-bounded by 3. The enriched problem is compatible with follwoing automaton. 0_0() -> 1 0_1() -> 2 0_2() -> 4 0_3() -> 6 activate_0(1) -> 1 activate_1(1) -> 1 activate_1(3) -> 1 activate_1(5) -> 1 activate_1(7) -> 1 cons_0(1,1) -> 1 cons_1(2,3) -> 1 cons_2(4,5) -> 1 cons_3(6,7) -> 1 n__zeros_0() -> 1 n__zeros_1() -> 1 n__zeros_1() -> 3 n__zeros_2() -> 1 n__zeros_2() -> 5 n__zeros_3() -> 1 n__zeros_3() -> 7 tail_0(1) -> 1 zeros_0() -> 1 zeros_1() -> 1 zeros_2() -> 1 3 -> 1 5 -> 1 7 -> 1 * Step 2: EmptyProcessor WORST_CASE(?,O(1)) + Considered Problem: - Weak TRS: activate(X) -> X activate(n__zeros()) -> zeros() tail(cons(X,XS)) -> activate(XS) zeros() -> cons(0(),n__zeros()) zeros() -> n__zeros() - Signature: {activate/1,tail/1,zeros/0} / {0/0,cons/2,n__zeros/0} - Obligation: derivational complexity wrt. signature {0,activate,cons,n__zeros,tail,zeros} + Applied Processor: EmptyProcessor + Details: The problem is already closed. The intended complexity is O(1). WORST_CASE(?,O(n^1))