3.05/1.50 WORST_CASE(NON_POLY, ?) 3.05/1.50 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 3.05/1.50 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.05/1.50 3.05/1.50 3.05/1.50 The Runtime Complexity of the given Name of obligation not specified could be proven to be BOUNDS(INF, INF). 3.05/1.50 3.05/1.50 (0) Name of obligation not specified 3.05/1.50 (1) ExtraVarProof [FINISHED, 0 ms] 3.05/1.50 (2) BOUNDS(INF, INF) 3.05/1.50 3.05/1.50 3.05/1.50 ---------------------------------------- 3.05/1.50 3.05/1.50 (0) 3.05/1.50 Obligation: 3.05/1.50 The Runtime Complexity of the given Name of obligation not specified could be proven to be BOUNDS(INF, INF). 3.05/1.50 3.05/1.50 3.05/1.50 The TRS R consists of the following rules: 3.05/1.50 3.05/1.50 tail(cons(X)) -> Y 3.05/1.50 if(true) -> X 3.05/1.50 if(false) -> Y 3.05/1.50 primes -> sieve(from(s(s(0)))) 3.05/1.50 from(X) -> cons(X) 3.05/1.50 head(cons(X)) -> X 3.05/1.50 filter(s(s(X)), cons(Y)) -> if(divides(s(s(X)), Y)) 3.05/1.50 sieve(cons(X)) -> cons(X) 3.05/1.50 3.05/1.50 3.05/1.50 ---------------------------------------- 3.05/1.50 3.05/1.50 (1) ExtraVarProof (FINISHED) 3.05/1.50 unbounded runtime complexity due to extra variable on rhs 3.05/1.50 ---------------------------------------- 3.05/1.50 3.05/1.50 (2) 3.05/1.50 BOUNDS(INF, INF) 3.05/1.53 EOF