2.98/1.47 WORST_CASE(NON_POLY, ?) 2.98/1.47 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 2.98/1.47 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 2.98/1.47 2.98/1.47 2.98/1.47 The Runtime Complexity of the given Name of obligation not specified could be proven to be BOUNDS(INF, INF). 2.98/1.47 2.98/1.47 (0) Name of obligation not specified 2.98/1.47 (1) ExtraVarProof [FINISHED, 0 ms] 2.98/1.47 (2) BOUNDS(INF, INF) 2.98/1.47 2.98/1.47 2.98/1.47 ---------------------------------------- 2.98/1.47 2.98/1.47 (0) 2.98/1.47 Obligation: 2.98/1.47 The Runtime Complexity of the given Name of obligation not specified could be proven to be BOUNDS(INF, INF). 2.98/1.47 2.98/1.47 2.98/1.47 The TRS R consists of the following rules: 2.98/1.47 2.98/1.47 sel(s(N), cons(X)) -> sel(N, XS) 2.98/1.47 from(X) -> cons(X) 2.98/1.47 sel(0, cons(X)) -> X 2.98/1.47 minus(X, 0) -> 0 2.98/1.47 minus(s(X), s(Y)) -> minus(X, Y) 2.98/1.47 quot(0, s(Y)) -> 0 2.98/1.47 quot(s(X), s(Y)) -> s(quot(minus(X, Y), s(Y))) 2.98/1.47 zWquot(XS, nil) -> nil 2.98/1.47 zWquot(nil, XS) -> nil 2.98/1.47 zWquot(cons(X), cons(Y)) -> cons(quot(X, Y)) 2.98/1.47 2.98/1.47 2.98/1.47 ---------------------------------------- 2.98/1.47 2.98/1.47 (1) ExtraVarProof (FINISHED) 2.98/1.47 unbounded runtime complexity due to extra variable on rhs 2.98/1.47 ---------------------------------------- 2.98/1.48 2.98/1.48 (2) 2.98/1.48 BOUNDS(INF, INF) 3.01/1.51 EOF