2.93/2.86 WORST_CASE(NON_POLY, ?) 2.93/2.87 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 2.93/2.87 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 2.93/2.87 2.93/2.87 2.93/2.87 The Runtime Complexity of the given Name of obligation not specified could be proven to be BOUNDS(INF, INF). 2.93/2.87 2.93/2.87 (0) Name of obligation not specified 2.93/2.87 (1) ExtraVarProof [FINISHED, 0 ms] 2.93/2.87 (2) BOUNDS(INF, INF) 2.93/2.87 2.93/2.87 2.93/2.87 ---------------------------------------- 2.93/2.87 2.93/2.87 (0) 2.93/2.87 Obligation: 2.93/2.87 The Runtime Complexity of the given Name of obligation not specified could be proven to be BOUNDS(INF, INF). 2.93/2.87 2.93/2.87 2.93/2.87 The TRS R consists of the following rules: 2.93/2.87 2.93/2.87 if(true) -> X 2.93/2.87 if(false) -> Y 2.93/2.87 fact(X) -> if(zero(X)) 2.93/2.87 add(0, X) -> X 2.93/2.87 add(s(X), Y) -> s(add(X, Y)) 2.93/2.87 prod(0, X) -> 0 2.93/2.87 prod(s(X), Y) -> add(Y, prod(X, Y)) 2.93/2.87 zero(0) -> true 2.93/2.87 zero(s(X)) -> false 2.93/2.87 p(s(X)) -> X 2.93/2.87 2.93/2.87 2.93/2.87 ---------------------------------------- 2.93/2.87 2.93/2.87 (1) ExtraVarProof (FINISHED) 2.93/2.87 unbounded runtime complexity due to extra variable on rhs 2.93/2.87 ---------------------------------------- 2.93/2.87 2.93/2.87 (2) 2.93/2.87 BOUNDS(INF, INF) 3.10/2.91 EOF