details

property	value
status	complete
benchmark	t008.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n190.star.cs.uiowa.edu
space	HirokawaMiddeldorp_04

run statistics

property	value
solver	muterm 6.0.3
configuration	default
runtime (wallclock)	0.0764549 seconds
cpu usage	0.057573
user time	0.032015
system time	0.025558
max virtual memory	113188.0
max residence set size	5436.0

stage attributes

key	value
starexec-result	YES

output

YES Problem 1: (VAR v_NonEmpty:S x:S) (RULES half(s(s(x:S))) -> s(half(x:S)) half(s(0)) -> 0 half(0) -> 0 log(s(x:S)) -> s(log(half(s(x:S)))) s(log(0)) -> s(0) ) Problem 1: Dependency Pairs Processor: -> Pairs: HALF(s(s(x:S))) -> HALF(x:S) HALF(s(s(x:S))) -> S(half(x:S)) LOG(s(x:S)) -> HALF(s(x:S)) LOG(s(x:S)) -> LOG(half(s(x:S))) LOG(s(x:S)) -> S(log(half(s(x:S)))) -> Rules: half(s(s(x:S))) -> s(half(x:S)) half(s(0)) -> 0 half(0) -> 0 log(s(x:S)) -> s(log(half(s(x:S)))) s(log(0)) -> s(0) Problem 1: SCC Processor: -> Pairs: HALF(s(s(x:S))) -> HALF(x:S) HALF(s(s(x:S))) -> S(half(x:S)) LOG(s(x:S)) -> HALF(s(x:S)) LOG(s(x:S)) -> LOG(half(s(x:S))) LOG(s(x:S)) -> S(log(half(s(x:S)))) -> Rules: half(s(s(x:S))) -> s(half(x:S)) half(s(0)) -> 0 half(0) -> 0 log(s(x:S)) -> s(log(half(s(x:S)))) s(log(0)) -> s(0) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: HALF(s(s(x:S))) -> HALF(x:S) ->->-> Rules: half(s(s(x:S))) -> s(half(x:S)) half(s(0)) -> 0 half(0) -> 0 log(s(x:S)) -> s(log(half(s(x:S)))) s(log(0)) -> s(0) ->->Cycle: ->->-> Pairs: LOG(s(x:S)) -> LOG(half(s(x:S))) ->->-> Rules: half(s(s(x:S))) -> s(half(x:S)) half(s(0)) -> 0 half(0) -> 0 log(s(x:S)) -> s(log(half(s(x:S)))) s(log(0)) -> s(0) The problem is decomposed in 2 subproblems. Problem 1.1: Subterm Processor: -> Pairs: HALF(s(s(x:S))) -> HALF(x:S) -> Rules: half(s(s(x:S))) -> s(half(x:S)) half(s(0)) -> 0 half(0) -> 0 log(s(x:S)) -> s(log(half(s(x:S)))) s(log(0)) -> s(0) ->Projection: pi(HALF) = 1 Problem 1.1: SCC Processor: -> Pairs: Empty -> Rules: half(s(s(x:S))) -> s(half(x:S)) half(s(0)) -> 0 half(0) -> 0 log(s(x:S)) -> s(log(half(s(x:S)))) s(log(0)) -> s(0) ->Strongly Connected Components: There is no strongly connected component The problem is finite. Problem 1.2: Reduction Pair Processor: popout

output may be truncated. 'popout' for the full output.

job log

popout

actions

all output return to TRS Standard