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TRS Relative pair #487081668
details
property
value
status
complete
benchmark
#3.1_gen.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n138.star.cs.uiowa.edu
space
INVY_15
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.92523 seconds
cpu usage
3.90684
user time
3.70559
system time
0.201244
max virtual memory
1.8409936E7
max residence set size
260340.0
stage attributes
key
value
starexec-result
NO
output
NO proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given RelTRS could be disproven: (0) RelTRS (1) RelTRSLoopFinderProof [COMPLETE, 27 ms] (2) NO ---------------------------------------- (0) Obligation: Relative term rewrite system: The relative TRS consists of the following R rules: -(x, 0) -> x -(s(x), s(y)) -> -(x, y) quot(0, s(y)) -> 0 quot(s(x), s(y)) -> s(quot(-(x, y), s(y))) The relative TRS consists of the following S rules: gen -> 0 gen -> s(gen) ---------------------------------------- (1) RelTRSLoopFinderProof (COMPLETE) The following loop was found: ---------- Loop: ---------- -(gen, gen) -> -(gen, s(gen)) with rule gen -> s(gen) at position [1] and matcher [ ] -(gen, s(gen)) -> -(s(gen), s(gen)) with rule gen -> s(gen) at position [0] and matcher [ ] -(s(gen), s(gen)) -> -(gen, gen) with rule -(s(x), s(y)) -> -(x, y) at position [] and matcher [x / gen, y / gen] Now an instance of the first term with Matcher [ ] occurs in the last term at position []. Context: [] Therefore, the relative TRS problem does not terminate. ---------------------------------------- (2) NO
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