3.08/1.58 WORST_CASE(NON_POLY, ?) 3.08/1.58 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 3.08/1.58 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.08/1.58 3.08/1.58 3.08/1.58 The Runtime Complexity of the given Name of obligation not specified could be proven to be BOUNDS(INF, INF). 3.08/1.58 3.08/1.58 (0) Name of obligation not specified 3.08/1.58 (1) ExtraVarProof [FINISHED, 0 ms] 3.08/1.58 (2) BOUNDS(INF, INF) 3.08/1.58 3.08/1.58 3.08/1.58 ---------------------------------------- 3.08/1.58 3.08/1.58 (0) 3.08/1.58 Obligation: 3.08/1.58 The Runtime Complexity of the given Name of obligation not specified could be proven to be BOUNDS(INF, INF). 3.08/1.58 3.08/1.58 3.08/1.58 The TRS R consists of the following rules: 3.08/1.58 3.08/1.58 U11(tt) -> N 3.08/1.58 U21(tt) -> s(plus(N, M)) 3.08/1.58 U41(tt) -> plus(x(N, M), N) 3.08/1.58 and(tt) -> X 3.08/1.58 U31(tt) -> 0 3.08/1.58 isNat -> tt 3.08/1.58 isNat -> and(isNat) 3.08/1.58 isNat -> isNat 3.08/1.58 plus(N, 0) -> U11(isNat) 3.08/1.58 plus(N, s(M)) -> U21(and(isNat)) 3.08/1.58 x(N, 0) -> U31(isNat) 3.08/1.58 x(N, s(M)) -> U41(and(isNat)) 3.08/1.58 3.08/1.58 3.08/1.58 ---------------------------------------- 3.08/1.58 3.08/1.58 (1) ExtraVarProof (FINISHED) 3.08/1.58 unbounded runtime complexity due to extra variable on rhs 3.08/1.58 ---------------------------------------- 3.08/1.58 3.08/1.58 (2) 3.08/1.58 BOUNDS(INF, INF) 3.08/1.63 EOF