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TRS Relat 75837 pair #381724990
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
n003.star.cs.uiowa.edu
space
Relative_05
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
7.43010902405 seconds
cpu usage
23.337927094
max memory
2.690215936E9
stage attributes
key
value
output-size
124860
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination of the given RelTRS could be proven: (0) RelTRS (1) FlatCCProof [EQUIVALENT, 0 ms] (2) RelTRS (3) RootLabelingProof [EQUIVALENT, 64 ms] (4) RelTRS (5) RelTRSRRRProof [EQUIVALENT, 1007 ms] (6) RelTRS (7) RelTRSRRRProof [EQUIVALENT, 285 ms] (8) RelTRS (9) RelTRSRRRProof [EQUIVALENT, 142 ms] (10) RelTRS (11) RelTRSRRRProof [EQUIVALENT, 228 ms] (12) RelTRS (13) RelTRSRRRProof [EQUIVALENT, 31 ms] (14) RelTRS (15) RelTRSRRRProof [EQUIVALENT, 9 ms] (16) RelTRS (17) RelTRSRRRProof [EQUIVALENT, 15 ms] (18) RelTRS (19) RelTRSRRRProof [EQUIVALENT, 0 ms] (20) RelTRS (21) RelTRSRRRProof [EQUIVALENT, 10 ms] (22) RelTRS (23) RelTRSRRRProof [EQUIVALENT, 0 ms] (24) RelTRS (25) RelTRSRRRProof [EQUIVALENT, 9 ms] (26) RelTRS (27) RelTRSRRRProof [EQUIVALENT, 0 ms] (28) RelTRS (29) RelTRSRRRProof [EQUIVALENT, 2 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 ----------------------------------------
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