2.72/1.46 WORST_CASE(NON_POLY, ?) 2.72/1.46 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 2.72/1.46 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 2.72/1.46 2.72/1.46 2.72/1.46 The Runtime Complexity of the given Name of obligation not specified could be proven to be BOUNDS(INF, INF). 2.72/1.46 2.72/1.46 (0) Name of obligation not specified 2.72/1.46 (1) ExtraVarProof [FINISHED, 0 ms] 2.72/1.46 (2) BOUNDS(INF, INF) 2.72/1.46 2.72/1.46 2.72/1.46 ---------------------------------------- 2.72/1.46 2.72/1.46 (0) 2.72/1.46 Obligation: 2.72/1.46 The Runtime Complexity of the given Name of obligation not specified could be proven to be BOUNDS(INF, INF). 2.72/1.46 2.72/1.46 2.72/1.46 The TRS R consists of the following rules: 2.72/1.46 2.72/1.46 and(true) -> X 2.72/1.46 if(true) -> X 2.72/1.46 if(false) -> Y 2.72/1.46 add(0) -> X 2.72/1.46 and(false) -> false 2.72/1.46 add(s) -> s 2.72/1.46 first(0, X) -> nil 2.72/1.46 first(s, cons) -> cons 2.72/1.46 from -> cons 2.72/1.46 2.72/1.46 2.72/1.46 ---------------------------------------- 2.72/1.46 2.72/1.46 (1) ExtraVarProof (FINISHED) 2.72/1.46 unbounded runtime complexity due to extra variable on rhs 2.72/1.46 ---------------------------------------- 2.72/1.46 2.72/1.46 (2) 2.72/1.46 BOUNDS(INF, INF) 2.72/1.49 EOF