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TRS Stand 20472 pair #381710271
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
n028.star.cs.uiowa.edu
space
HirokawaMiddeldorp_04
run statistics
property
value
solver
muterm 5.18
configuration
default
runtime (wallclock)
0.0711319446564 seconds
cpu usage
0.050020252
max memory
3653632.0
stage attributes
key
value
output-size
2678
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Problem 1: (VAR x) (RULES half(s(s(x))) -> s(half(x)) half(s(0)) -> 0 half(0) -> 0 log(s(x)) -> s(log(half(s(x)))) s(log(0)) -> s(0) ) Problem 1: Dependency Pairs Processor: -> Pairs: HALF(s(s(x))) -> HALF(x) HALF(s(s(x))) -> S(half(x)) LOG(s(x)) -> HALF(s(x)) LOG(s(x)) -> LOG(half(s(x))) LOG(s(x)) -> S(log(half(s(x)))) -> Rules: half(s(s(x))) -> s(half(x)) half(s(0)) -> 0 half(0) -> 0 log(s(x)) -> s(log(half(s(x)))) s(log(0)) -> s(0) Problem 1: SCC Processor: -> Pairs: HALF(s(s(x))) -> HALF(x) HALF(s(s(x))) -> S(half(x)) LOG(s(x)) -> HALF(s(x)) LOG(s(x)) -> LOG(half(s(x))) LOG(s(x)) -> S(log(half(s(x)))) -> Rules: half(s(s(x))) -> s(half(x)) half(s(0)) -> 0 half(0) -> 0 log(s(x)) -> s(log(half(s(x)))) s(log(0)) -> s(0) ->Strongly Connected Components: ->->Cycle: ->->-> Pairs: HALF(s(s(x))) -> HALF(x) ->->-> Rules: half(s(s(x))) -> s(half(x)) half(s(0)) -> 0 half(0) -> 0 log(s(x)) -> s(log(half(s(x)))) s(log(0)) -> s(0) ->->Cycle: ->->-> Pairs: LOG(s(x)) -> LOG(half(s(x))) ->->-> Rules: half(s(s(x))) -> s(half(x)) half(s(0)) -> 0 half(0) -> 0 log(s(x)) -> s(log(half(s(x)))) s(log(0)) -> s(0) The problem is decomposed in 2 subproblems. Problem 1.1: Subterm Processor: -> Pairs: HALF(s(s(x))) -> HALF(x) -> Rules: half(s(s(x))) -> s(half(x)) half(s(0)) -> 0 half(0) -> 0 log(s(x)) -> s(log(half(s(x)))) s(log(0)) -> s(0) ->Projection: pi(HALF) = 1 Problem 1.1: SCC Processor: -> Pairs: Empty -> Rules: half(s(s(x))) -> s(half(x)) half(s(0)) -> 0 half(0) -> 0 log(s(x)) -> s(log(half(s(x)))) s(log(0)) -> s(0) ->Strongly Connected Components: There is no strongly connected component
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