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SRS Relative pair #487520986
details
property
value
status
complete
benchmark
zr11.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n144.star.cs.uiowa.edu
space
Mixed_relative_SRS
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
3.53028512001 seconds
cpu usage
11.005745147
max memory
1.176522752E9
stage attributes
key
value
output-size
9455
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given RelTRS could be proven: (0) RelTRS (1) FlatCCProof [EQUIVALENT, 0 ms] (2) RelTRS (3) RootLabelingProof [EQUIVALENT, 0 ms] (4)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, 56 ms] (6) RelTRS (7) RelTRSRRRProof [EQUIVALENT, 20 ms] (8) RelTRS (9) RelTRSRRRProof [EQUIVALENT, 199 ms] (10) RelTRS (11) RIsEmptyProof [EQUIVALENT, 0 ms] (12) YES ---------------------------------------- (0) Obligation: Relative term rewrite system: The relative TRS consists of the following R rules: b(c(a(x1))) -> a(b(a(b(x1)))) a(a(x1)) -> a(c(b(a(x1)))) The relative TRS consists of the following S rules: b(x1) -> 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: a(a(x1)) -> a(c(b(a(x1)))) b(b(c(a(x1)))) -> b(a(b(a(b(x1))))) c(b(c(a(x1)))) -> c(a(b(a(b(x1))))) a(b(c(a(x1)))) -> a(a(b(a(b(x1))))) The relative TRS consists of the following S rules: b(b(x1)) -> b(c(b(x1))) c(b(x1)) -> c(c(b(x1))) a(b(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: a_{a_1}(a_{a_1}(x1)) -> a_{c_1}(c_{b_1}(b_{a_1}(a_{a_1}(x1)))) a_{a_1}(a_{c_1}(x1)) -> a_{c_1}(c_{b_1}(b_{a_1}(a_{c_1}(x1)))) a_{a_1}(a_{b_1}(x1)) -> a_{c_1}(c_{b_1}(b_{a_1}(a_{b_1}(x1)))) b_{b_1}(b_{c_1}(c_{a_1}(a_{a_1}(x1)))) -> b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(x1))))) b_{b_1}(b_{c_1}(c_{a_1}(a_{c_1}(x1)))) -> b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{c_1}(x1))))) b_{b_1}(b_{c_1}(c_{a_1}(a_{b_1}(x1)))) -> b_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(x1))))) c_{b_1}(b_{c_1}(c_{a_1}(a_{a_1}(x1)))) -> c_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(x1))))) c_{b_1}(b_{c_1}(c_{a_1}(a_{c_1}(x1)))) -> c_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{c_1}(x1))))) c_{b_1}(b_{c_1}(c_{a_1}(a_{b_1}(x1)))) -> c_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(x1))))) a_{b_1}(b_{c_1}(c_{a_1}(a_{a_1}(x1)))) -> a_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(x1))))) a_{b_1}(b_{c_1}(c_{a_1}(a_{c_1}(x1)))) -> a_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{c_1}(x1))))) a_{b_1}(b_{c_1}(c_{a_1}(a_{b_1}(x1)))) -> a_{a_1}(a_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(x1))))) The relative TRS consists of the following S rules: b_{b_1}(b_{a_1}(x1)) -> b_{c_1}(c_{b_1}(b_{a_1}(x1))) b_{b_1}(b_{c_1}(x1)) -> b_{c_1}(c_{b_1}(b_{c_1}(x1))) b_{b_1}(b_{b_1}(x1)) -> b_{c_1}(c_{b_1}(b_{b_1}(x1))) c_{b_1}(b_{a_1}(x1)) -> c_{c_1}(c_{b_1}(b_{a_1}(x1)))
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