3.02/1.49 WORST_CASE(NON_POLY, ?) 3.02/1.49 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 3.02/1.49 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.02/1.49 3.02/1.49 3.02/1.49 The Runtime Complexity of the given Name of obligation not specified could be proven to be BOUNDS(INF, INF). 3.02/1.49 3.02/1.49 (0) Name of obligation not specified 3.02/1.49 (1) ExtraVarProof [FINISHED, 0 ms] 3.02/1.49 (2) BOUNDS(INF, INF) 3.02/1.49 3.02/1.49 3.02/1.49 ---------------------------------------- 3.02/1.49 3.02/1.49 (0) 3.02/1.49 Obligation: 3.02/1.49 The Runtime Complexity of the given Name of obligation not specified could be proven to be BOUNDS(INF, INF). 3.02/1.49 3.02/1.49 3.02/1.49 The TRS R consists of the following rules: 3.02/1.49 3.02/1.49 if(true) -> X 3.02/1.49 if(false) -> Y 3.02/1.49 p(0) -> 0 3.02/1.49 p(s(X)) -> X 3.02/1.49 leq(0, Y) -> true 3.02/1.49 leq(s(X), 0) -> false 3.02/1.49 leq(s(X), s(Y)) -> leq(X, Y) 3.02/1.49 diff(X, Y) -> if(leq(X, Y)) 3.02/1.49 3.02/1.49 3.02/1.49 ---------------------------------------- 3.02/1.49 3.02/1.49 (1) ExtraVarProof (FINISHED) 3.02/1.49 unbounded runtime complexity due to extra variable on rhs 3.02/1.49 ---------------------------------------- 3.02/1.49 3.02/1.49 (2) 3.02/1.49 BOUNDS(INF, INF) 3.18/1.53 EOF