2.65/1.51 WORST_CASE(NON_POLY, ?) 2.65/1.51 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 2.65/1.51 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 2.65/1.51 2.65/1.51 2.65/1.51 The Runtime Complexity of the given Name of obligation not specified could be proven to be BOUNDS(INF, INF). 2.65/1.51 2.65/1.51 (0) Name of obligation not specified 2.65/1.51 (1) ExtraVarProof [FINISHED, 0 ms] 2.65/1.51 (2) BOUNDS(INF, INF) 2.65/1.51 2.65/1.51 2.65/1.51 ---------------------------------------- 2.65/1.51 2.65/1.51 (0) 2.65/1.51 Obligation: 2.65/1.51 The Runtime Complexity of the given Name of obligation not specified could be proven to be BOUNDS(INF, INF). 2.65/1.51 2.65/1.51 2.65/1.51 The TRS R consists of the following rules: 2.65/1.51 2.65/1.51 2ndspos(s(N), cons(X)) -> rcons(posrecip(Y), 2ndsneg(N, Z)) 2.65/1.51 2ndsneg(s(N), cons(X)) -> rcons(negrecip(Y), 2ndspos(N, Z)) 2.65/1.51 from(X) -> cons(X) 2.65/1.51 2ndspos(0, Z) -> rnil 2.65/1.51 2ndsneg(0, Z) -> rnil 2.65/1.51 pi(X) -> 2ndspos(X, from(0)) 2.65/1.51 plus(0, Y) -> Y 2.65/1.51 plus(s(X), Y) -> s(plus(X, Y)) 2.65/1.51 times(0, Y) -> 0 2.65/1.51 times(s(X), Y) -> plus(Y, times(X, Y)) 2.65/1.51 square(X) -> times(X, X) 2.65/1.51 2.65/1.51 2.65/1.51 ---------------------------------------- 2.65/1.51 2.65/1.51 (1) ExtraVarProof (FINISHED) 2.65/1.51 unbounded runtime complexity due to extra variable on rhs 2.65/1.51 ---------------------------------------- 2.65/1.51 2.65/1.51 (2) 2.65/1.51 BOUNDS(INF, INF) 2.83/1.55 EOF