3.20/2.09 WORST_CASE(NON_POLY, ?) 3.20/2.10 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 3.20/2.10 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.20/2.10 3.20/2.10 3.20/2.10 The Runtime Complexity of the given Name of obligation not specified could be proven to be BOUNDS(INF, INF). 3.20/2.10 3.20/2.10 (0) Name of obligation not specified 3.20/2.10 (1) ExtraVarProof [FINISHED, 0 ms] 3.20/2.10 (2) BOUNDS(INF, INF) 3.20/2.10 3.20/2.10 3.20/2.10 ---------------------------------------- 3.20/2.10 3.20/2.10 (0) 3.20/2.10 Obligation: 3.20/2.10 The Runtime Complexity of the given Name of obligation not specified could be proven to be BOUNDS(INF, INF). 3.20/2.10 3.20/2.10 3.20/2.10 The TRS R consists of the following rules: 3.20/2.10 3.20/2.10 sel(s(X), cons(Y)) -> sel(X, Z) 3.20/2.10 f(X) -> cons(X) 3.20/2.10 g(0) -> s(0) 3.20/2.10 g(s(X)) -> s(s(g(X))) 3.20/2.10 sel(0, cons(X)) -> X 3.20/2.10 3.20/2.10 3.20/2.10 ---------------------------------------- 3.20/2.10 3.20/2.10 (1) ExtraVarProof (FINISHED) 3.20/2.10 unbounded runtime complexity due to extra variable on rhs 3.20/2.10 ---------------------------------------- 3.20/2.10 3.20/2.10 (2) 3.20/2.10 BOUNDS(INF, INF) 3.23/2.22 EOF