2.98/1.62 WORST_CASE(NON_POLY, ?) 2.98/1.63 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 2.98/1.63 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 2.98/1.63 2.98/1.63 2.98/1.63 The Runtime Complexity of the given Name of obligation not specified could be proven to be BOUNDS(INF, INF). 2.98/1.63 2.98/1.63 (0) Name of obligation not specified 2.98/1.63 (1) ExtraVarProof [FINISHED, 0 ms] 2.98/1.63 (2) BOUNDS(INF, INF) 2.98/1.63 2.98/1.63 2.98/1.63 ---------------------------------------- 2.98/1.63 2.98/1.63 (0) 2.98/1.63 Obligation: 2.98/1.63 The Runtime Complexity of the given Name of obligation not specified could be proven to be BOUNDS(INF, INF). 2.98/1.63 2.98/1.63 2.98/1.63 The TRS R consists of the following rules: 2.98/1.63 2.98/1.63 sel(s(X), cons(Y)) -> sel(X, Z) 2.98/1.63 sel1(s(X), cons(Y)) -> sel1(X, Z) 2.98/1.63 first1(s(X), cons(Y)) -> cons1(quote, first1(X, Z)) 2.98/1.63 quote -> sel1(X, Z) 2.98/1.63 quote1 -> first1(X, Z) 2.98/1.63 sel(0, cons(X)) -> X 2.98/1.63 first(0, Z) -> nil 2.98/1.63 first(s(X), cons(Y)) -> cons(Y) 2.98/1.63 from(X) -> cons(X) 2.98/1.63 sel1(0, cons(X)) -> quote 2.98/1.63 first1(0, Z) -> nil1 2.98/1.63 quote -> 01 2.98/1.63 quote1 -> cons1(quote, quote1) 2.98/1.63 quote1 -> nil1 2.98/1.63 quote -> s1(quote) 2.98/1.63 unquote(01) -> 0 2.98/1.63 unquote(s1(X)) -> s(unquote(X)) 2.98/1.63 unquote1(nil1) -> nil 2.98/1.63 unquote1(cons1(X, Z)) -> fcons(unquote(X), unquote1(Z)) 2.98/1.63 fcons(X, Z) -> cons(X) 2.98/1.63 2.98/1.63 2.98/1.63 ---------------------------------------- 2.98/1.63 2.98/1.63 (1) ExtraVarProof (FINISHED) 2.98/1.63 unbounded runtime complexity due to extra variable on rhs 2.98/1.63 ---------------------------------------- 2.98/1.63 2.98/1.63 (2) 2.98/1.63 BOUNDS(INF, INF) 3.31/2.06 EOF