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SRS Relative pair #487082072
details
property
value
status
complete
benchmark
r7.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n142.star.cs.uiowa.edu
space
Waldmann_06_relative
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.82083 seconds
cpu usage
4.40843
user time
4.21969
system time
0.188736
max virtual memory
1.9274472E7
max residence set size
335020.0
stage attributes
key
value
starexec-result
YES
output
YES proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given RelTRS could be proven: (0) RelTRS (1) FlatCCProof [EQUIVALENT, 0 ms] (2) RelTRS (3) RootLabelingProof [EQUIVALENT, 0 ms] (4) RelTRS (5) RelTRSRRRProof [EQUIVALENT, 49 ms] (6) RelTRS (7) RIsEmptyProof [EQUIVALENT, 0 ms] (8) YES ---------------------------------------- (0) Obligation: Relative term rewrite system: The relative TRS consists of the following R rules: b(b(b(x1))) -> x1 c(c(c(x1))) -> a(a(x1)) The relative TRS consists of the following S rules: a(x1) -> a(c(b(x1))) ---------------------------------------- (1) FlatCCProof (EQUIVALENT) We used flat context closure [ROOTLAB] ---------------------------------------- (2) Obligation: Relative term rewrite system: The relative TRS consists of the following R rules: b(b(b(b(x1)))) -> b(x1) c(b(b(b(x1)))) -> c(x1) a(b(b(b(x1)))) -> a(x1) b(c(c(c(x1)))) -> b(a(a(x1))) c(c(c(c(x1)))) -> c(a(a(x1))) a(c(c(c(x1)))) -> a(a(a(x1))) The relative TRS consists of the following S rules: a(x1) -> a(c(b(x1))) ---------------------------------------- (3) RootLabelingProof (EQUIVALENT) We used plain root labeling [ROOTLAB] with the following heuristic: LabelAll: All function symbols get labeled ---------------------------------------- (4) Obligation: Relative term rewrite system: The relative TRS consists of the following R rules: b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x1)))) -> b_{b_1}(x1) b_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x1)))) -> b_{c_1}(x1) b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x1)))) -> b_{a_1}(x1) c_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x1)))) -> c_{b_1}(x1) c_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x1)))) -> c_{c_1}(x1) c_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x1)))) -> c_{a_1}(x1) a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x1)))) -> a_{b_1}(x1) a_{b_1}(b_{b_1}(b_{b_1}(b_{c_1}(x1)))) -> a_{c_1}(x1) a_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x1)))) -> a_{a_1}(x1) b_{c_1}(c_{c_1}(c_{c_1}(c_{b_1}(x1)))) -> b_{a_1}(a_{a_1}(a_{b_1}(x1))) b_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(x1)))) -> b_{a_1}(a_{a_1}(a_{c_1}(x1))) b_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(x1)))) -> b_{a_1}(a_{a_1}(a_{a_1}(x1))) c_{c_1}(c_{c_1}(c_{c_1}(c_{b_1}(x1)))) -> c_{a_1}(a_{a_1}(a_{b_1}(x1))) c_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(x1)))) -> c_{a_1}(a_{a_1}(a_{c_1}(x1))) c_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(x1)))) -> c_{a_1}(a_{a_1}(a_{a_1}(x1))) a_{c_1}(c_{c_1}(c_{c_1}(c_{b_1}(x1)))) -> a_{a_1}(a_{a_1}(a_{b_1}(x1))) a_{c_1}(c_{c_1}(c_{c_1}(c_{c_1}(x1)))) -> a_{a_1}(a_{a_1}(a_{c_1}(x1))) a_{c_1}(c_{c_1}(c_{c_1}(c_{a_1}(x1)))) -> a_{a_1}(a_{a_1}(a_{a_1}(x1))) The relative TRS consists of the following S rules: a_{b_1}(x1) -> a_{c_1}(c_{b_1}(b_{b_1}(x1))) a_{c_1}(x1) -> a_{c_1}(c_{b_1}(b_{c_1}(x1))) a_{a_1}(x1) -> a_{c_1}(c_{b_1}(b_{a_1}(x1))) ---------------------------------------- (5) RelTRSRRRProof (EQUIVALENT)
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