2.93/1.53 WORST_CASE(NON_POLY, ?) 2.93/1.53 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 2.93/1.53 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 2.93/1.53 2.93/1.53 2.93/1.53 The Runtime Complexity of the given Name of obligation not specified could be proven to be BOUNDS(INF, INF). 2.93/1.53 2.93/1.53 (0) Name of obligation not specified 2.93/1.53 (1) ExtraVarProof [FINISHED, 0 ms] 2.93/1.53 (2) BOUNDS(INF, INF) 2.93/1.53 2.93/1.53 2.93/1.53 ---------------------------------------- 2.93/1.53 2.93/1.53 (0) 2.93/1.53 Obligation: 2.93/1.53 The Runtime Complexity of the given Name of obligation not specified could be proven to be BOUNDS(INF, INF). 2.93/1.53 2.93/1.53 2.93/1.53 The TRS R consists of the following rules: 2.93/1.53 2.93/1.53 tail(cons(X)) -> L 2.93/1.53 incr(nil) -> nil 2.93/1.53 incr(cons(X)) -> cons(s(X)) 2.93/1.53 adx(nil) -> nil 2.93/1.53 adx(cons(X)) -> incr(cons(X)) 2.93/1.53 nats -> adx(zeros) 2.93/1.53 zeros -> cons(0) 2.93/1.53 head(cons(X)) -> X 2.93/1.53 2.93/1.53 2.93/1.53 ---------------------------------------- 2.93/1.53 2.93/1.53 (1) ExtraVarProof (FINISHED) 2.93/1.53 unbounded runtime complexity due to extra variable on rhs 2.93/1.53 ---------------------------------------- 2.93/1.53 2.93/1.53 (2) 2.93/1.53 BOUNDS(INF, INF) 2.93/1.56 EOF