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TRS Relative pair #487081893
details
property
value
status
complete
benchmark
rt3-4.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n149.star.cs.uiowa.edu
space
Relative_05
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
7.22106 seconds
cpu usage
22.2663
user time
21.0119
system time
1.25445
max virtual memory
1.8746184E7
max residence set size
2581600.0
stage attributes
key
value
starexec-result
YES
output
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given RelTRS could be proven: (0) RelTRS (1) FlatCCProof [EQUIVALENT, 0 ms] (2) RelTRS (3) RootLabelingProof [EQUIVALENT, 15 ms] (4) RelTRS (5) RelTRSRRRProof [EQUIVALENT, 921 ms] (6) RelTRS (7) RelTRSRRRProof [EQUIVALENT, 173 ms] (8) RelTRS (9) RelTRSRRRProof [EQUIVALENT, 251 ms] (10) RelTRS (11) RelTRSRRRProof [EQUIVALENT, 153 ms] (12) RelTRS (13) RelTRSRRRProof [EQUIVALENT, 44 ms] (14) RelTRS (15) RelTRSRRRProof [EQUIVALENT, 10 ms] (16) RelTRS (17) RelTRSRRRProof [EQUIVALENT, 0 ms] (18) RelTRS (19) RelTRSRRRProof [EQUIVALENT, 0 ms] (20) RelTRS (21) RelTRSRRRProof [EQUIVALENT, 0 ms] (22) RelTRS (23) RelTRSRRRProof [EQUIVALENT, 0 ms] (24) RelTRS (25) RelTRSRRRProof [EQUIVALENT, 8 ms] (26) RelTRS (27) RelTRSRRRProof [EQUIVALENT, 0 ms] (28) RelTRS (29) RelTRSRRRProof [EQUIVALENT, 0 ms] (30) RelTRS (31) RelTRSRRRProof [EQUIVALENT, 7 ms] (32) RelTRS (33) RelTRSRRRProof [EQUIVALENT, 0 ms] (34) RelTRS (35) RIsEmptyProof [EQUIVALENT, 0 ms] (36) YES ---------------------------------------- (0) Obligation: Relative term rewrite system: The relative TRS consists of the following R rules: f(a, g(y), z) -> f(b, g(y), g(y)) f(b, g(y), z) -> f(a, y, z) a -> b The relative TRS consists of the following S rules: f(x, y, z) -> f(x, y, g(z)) ---------------------------------------- (1) FlatCCProof (EQUIVALENT) We used flat context closure [ROOTLAB] ---------------------------------------- (2) Obligation: Relative term rewrite system: The relative TRS consists of the following R rules: f(a, g(y), z) -> f(b, g(y), g(y)) f(b, g(y), z) -> f(a, y, z) f(a, z1, z2) -> f(b, z1, z2) f(z0, a, z2) -> f(z0, b, z2) f(z0, z1, a) -> f(z0, z1, b) g(a) -> g(b) The relative TRS consists of the following S rules: f(x, y, z) -> f(x, y, g(z)) ---------------------------------------- (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:
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