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SRS_Relative 2019-03-29 08.12 pair #432296373
details
property
value
status
complete
benchmark
random-39.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n130.star.cs.uiowa.edu
space
Waldmann_19
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
11.2067 seconds
cpu usage
40.5723
user time
38.996
system time
1.57623
max virtual memory
9.9670784E7
max residence set size
3468884.0
stage attributes
key
value
starexec-result
YES
output
40.44/11.15 YES 40.44/11.16 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 40.44/11.16 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 40.44/11.16 40.44/11.16 40.44/11.16 Termination of the given RelTRS could be proven: 40.44/11.16 40.44/11.16 (0) RelTRS 40.44/11.16 (1) FlatCCProof [EQUIVALENT, 0 ms] 40.44/11.16 (2) RelTRS 40.44/11.16 (3) RootLabelingProof [EQUIVALENT, 0 ms] 40.44/11.16 (4) RelTRS 40.44/11.16 (5) RelTRSRRRProof [EQUIVALENT, 105 ms] 40.44/11.16 (6) RelTRS 40.44/11.16 (7) RelTRSRRRProof [EQUIVALENT, 25 ms] 40.44/11.16 (8) RelTRS 40.44/11.16 (9) RelTRSRRRProof [EQUIVALENT, 378 ms] 40.44/11.16 (10) RelTRS 40.44/11.16 (11) RelTRSRRRProof [EQUIVALENT, 341 ms] 40.44/11.16 (12) RelTRS 40.44/11.16 (13) RelTRSRRRProof [EQUIVALENT, 16 ms] 40.44/11.16 (14) RelTRS 40.44/11.16 (15) RIsEmptyProof [EQUIVALENT, 0 ms] 40.44/11.16 (16) YES 40.44/11.16 40.44/11.16 40.44/11.16 ---------------------------------------- 40.44/11.16 40.44/11.16 (0) 40.44/11.16 Obligation: 40.44/11.16 Relative term rewrite system: 40.44/11.16 The relative TRS consists of the following R rules: 40.44/11.16 40.44/11.16 a(a(c(x1))) -> a(c(c(x1))) 40.44/11.16 b(b(c(x1))) -> a(b(b(x1))) 40.44/11.16 40.44/11.16 The relative TRS consists of the following S rules: 40.44/11.16 40.44/11.16 c(c(b(x1))) -> a(c(a(x1))) 40.44/11.16 b(a(c(x1))) -> c(a(c(x1))) 40.44/11.16 c(b(c(x1))) -> b(b(b(x1))) 40.44/11.16 b(b(a(x1))) -> b(a(c(x1))) 40.44/11.16 40.44/11.16 40.44/11.16 ---------------------------------------- 40.44/11.16 40.44/11.16 (1) FlatCCProof (EQUIVALENT) 40.44/11.16 We used flat context closure [ROOTLAB] 40.44/11.16 40.44/11.16 ---------------------------------------- 40.44/11.16 40.44/11.16 (2) 40.44/11.16 Obligation: 40.44/11.16 Relative term rewrite system: 40.44/11.16 The relative TRS consists of the following R rules: 40.44/11.16 40.44/11.16 a(a(c(x1))) -> a(c(c(x1))) 40.44/11.16 a(b(b(c(x1)))) -> a(a(b(b(x1)))) 40.44/11.16 c(b(b(c(x1)))) -> c(a(b(b(x1)))) 40.44/11.16 b(b(b(c(x1)))) -> b(a(b(b(x1)))) 40.44/11.16 40.44/11.16 The relative TRS consists of the following S rules: 40.44/11.16 40.44/11.16 b(b(a(x1))) -> b(a(c(x1))) 40.44/11.16 a(c(c(b(x1)))) -> a(a(c(a(x1)))) 40.44/11.16 c(c(c(b(x1)))) -> c(a(c(a(x1)))) 40.44/11.16 b(c(c(b(x1)))) -> b(a(c(a(x1)))) 40.44/11.16 a(b(a(c(x1)))) -> a(c(a(c(x1)))) 40.44/11.16 c(b(a(c(x1)))) -> c(c(a(c(x1)))) 40.44/11.16 b(b(a(c(x1)))) -> b(c(a(c(x1)))) 40.44/11.16 a(c(b(c(x1)))) -> a(b(b(b(x1)))) 40.44/11.16 c(c(b(c(x1)))) -> c(b(b(b(x1)))) 40.44/11.16 b(c(b(c(x1)))) -> b(b(b(b(x1)))) 40.44/11.16 40.44/11.16 40.44/11.16 ---------------------------------------- 40.44/11.16 40.44/11.16 (3) RootLabelingProof (EQUIVALENT) 40.44/11.16 We used plain root labeling [ROOTLAB] with the following heuristic: 40.44/11.16 LabelAll: All function symbols get labeled 40.44/11.16 40.44/11.16 40.44/11.16 ---------------------------------------- 40.44/11.16 40.44/11.16 (4) 40.44/11.16 Obligation: 40.44/11.16 Relative term rewrite system: 40.44/11.16 The relative TRS consists of the following R rules: 40.44/11.16 40.44/11.16 a_{a_1}(a_{c_1}(c_{a_1}(x1))) -> a_{c_1}(c_{c_1}(c_{a_1}(x1))) 40.44/11.16 a_{a_1}(a_{c_1}(c_{c_1}(x1))) -> a_{c_1}(c_{c_1}(c_{c_1}(x1))) 40.44/11.16 a_{a_1}(a_{c_1}(c_{b_1}(x1))) -> a_{c_1}(c_{c_1}(c_{b_1}(x1))) 40.44/11.16 a_{b_1}(b_{b_1}(b_{c_1}(c_{a_1}(x1)))) -> a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x1)))) 40.44/11.16 a_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(x1)))) -> a_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x1)))) 40.44/11.16 a_{b_1}(b_{b_1}(b_{c_1}(c_{b_1}(x1)))) -> a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x1)))) 40.44/11.16 c_{b_1}(b_{b_1}(b_{c_1}(c_{a_1}(x1)))) -> c_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x1)))) 40.44/11.16 c_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(x1)))) -> c_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x1)))) 40.44/11.16 c_{b_1}(b_{b_1}(b_{c_1}(c_{b_1}(x1)))) -> c_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x1)))) 40.44/11.16 b_{b_1}(b_{b_1}(b_{c_1}(c_{a_1}(x1)))) -> b_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x1)))) 40.44/11.16 b_{b_1}(b_{b_1}(b_{c_1}(c_{c_1}(x1)))) -> b_{a_1}(a_{b_1}(b_{b_1}(b_{c_1}(x1))))
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