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SRS_Relative 2019-03-29 08.12 pair #432296438
details
property
value
status
complete
benchmark
random-145.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n168.star.cs.uiowa.edu
space
Waldmann_19
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
11.429 seconds
cpu usage
37.8956
user time
36.2667
system time
1.62894
max virtual memory
3.8598124E7
max residence set size
4302064.0
stage attributes
key
value
starexec-result
YES
output
37.64/10.31 YES 37.64/10.32 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 37.64/10.32 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 37.64/10.32 37.64/10.32 37.64/10.32 Termination of the given RelTRS could be proven: 37.64/10.32 37.64/10.32 (0) RelTRS 37.64/10.32 (1) FlatCCProof [EQUIVALENT, 0 ms] 37.64/10.32 (2) RelTRS 37.64/10.32 (3) RootLabelingProof [EQUIVALENT, 15 ms] 37.64/10.32 (4) RelTRS 37.64/10.32 (5) RelTRSRRRProof [EQUIVALENT, 2193 ms] 37.64/10.32 (6) RelTRS 37.64/10.32 (7) RelTRSRRRProof [EQUIVALENT, 5 ms] 37.64/10.32 (8) RelTRS 37.64/10.32 (9) RIsEmptyProof [EQUIVALENT, 0 ms] 37.64/10.32 (10) YES 37.64/10.32 37.64/10.32 37.64/10.32 ---------------------------------------- 37.64/10.32 37.64/10.32 (0) 37.64/10.32 Obligation: 37.64/10.32 Relative term rewrite system: 37.64/10.32 The relative TRS consists of the following R rules: 37.64/10.32 37.64/10.32 a(b(c(x1))) -> c(b(c(x1))) 37.64/10.32 c(b(c(x1))) -> a(c(b(x1))) 37.64/10.32 b(c(c(x1))) -> b(b(b(x1))) 37.64/10.32 b(b(a(x1))) -> b(c(a(x1))) 37.64/10.32 37.64/10.32 The relative TRS consists of the following S rules: 37.64/10.32 37.64/10.32 a(c(a(x1))) -> a(b(a(x1))) 37.64/10.32 a(b(b(x1))) -> c(c(c(x1))) 37.64/10.32 37.64/10.32 37.64/10.32 ---------------------------------------- 37.64/10.32 37.64/10.32 (1) FlatCCProof (EQUIVALENT) 37.64/10.32 We used flat context closure [ROOTLAB] 37.64/10.32 37.64/10.32 ---------------------------------------- 37.64/10.32 37.64/10.32 (2) 37.64/10.32 Obligation: 37.64/10.32 Relative term rewrite system: 37.64/10.32 The relative TRS consists of the following R rules: 37.64/10.32 37.64/10.32 b(c(c(x1))) -> b(b(b(x1))) 37.64/10.32 b(b(a(x1))) -> b(c(a(x1))) 37.64/10.32 a(a(b(c(x1)))) -> a(c(b(c(x1)))) 37.64/10.32 b(a(b(c(x1)))) -> b(c(b(c(x1)))) 37.64/10.32 c(a(b(c(x1)))) -> c(c(b(c(x1)))) 37.64/10.32 a(c(b(c(x1)))) -> a(a(c(b(x1)))) 37.64/10.32 b(c(b(c(x1)))) -> b(a(c(b(x1)))) 37.64/10.32 c(c(b(c(x1)))) -> c(a(c(b(x1)))) 37.64/10.32 37.64/10.32 The relative TRS consists of the following S rules: 37.64/10.32 37.64/10.32 a(c(a(x1))) -> a(b(a(x1))) 37.64/10.32 a(a(b(b(x1)))) -> a(c(c(c(x1)))) 37.64/10.32 b(a(b(b(x1)))) -> b(c(c(c(x1)))) 37.64/10.32 c(a(b(b(x1)))) -> c(c(c(c(x1)))) 37.64/10.32 37.64/10.32 37.64/10.32 ---------------------------------------- 37.64/10.32 37.64/10.32 (3) RootLabelingProof (EQUIVALENT) 37.64/10.32 We used plain root labeling [ROOTLAB] with the following heuristic: 37.64/10.32 LabelAll: All function symbols get labeled 37.64/10.32 37.64/10.32 37.64/10.32 ---------------------------------------- 37.64/10.32 37.64/10.32 (4) 37.64/10.32 Obligation: 37.64/10.32 Relative term rewrite system: 37.64/10.32 The relative TRS consists of the following R rules: 37.64/10.32 37.64/10.32 b_{c_1}(c_{c_1}(c_{b_1}(x1))) -> b_{b_1}(b_{b_1}(b_{b_1}(x1))) 37.64/10.32 b_{c_1}(c_{c_1}(c_{c_1}(x1))) -> b_{b_1}(b_{b_1}(b_{c_1}(x1))) 37.64/10.32 b_{c_1}(c_{c_1}(c_{a_1}(x1))) -> b_{b_1}(b_{b_1}(b_{a_1}(x1))) 37.64/10.32 b_{b_1}(b_{a_1}(a_{b_1}(x1))) -> b_{c_1}(c_{a_1}(a_{b_1}(x1))) 37.64/10.32 b_{b_1}(b_{a_1}(a_{c_1}(x1))) -> b_{c_1}(c_{a_1}(a_{c_1}(x1))) 37.64/10.32 b_{b_1}(b_{a_1}(a_{a_1}(x1))) -> b_{c_1}(c_{a_1}(a_{a_1}(x1))) 37.64/10.32 a_{a_1}(a_{b_1}(b_{c_1}(c_{b_1}(x1)))) -> a_{c_1}(c_{b_1}(b_{c_1}(c_{b_1}(x1)))) 37.64/10.32 a_{a_1}(a_{b_1}(b_{c_1}(c_{c_1}(x1)))) -> a_{c_1}(c_{b_1}(b_{c_1}(c_{c_1}(x1)))) 37.64/10.32 a_{a_1}(a_{b_1}(b_{c_1}(c_{a_1}(x1)))) -> a_{c_1}(c_{b_1}(b_{c_1}(c_{a_1}(x1)))) 37.64/10.32 b_{a_1}(a_{b_1}(b_{c_1}(c_{b_1}(x1)))) -> b_{c_1}(c_{b_1}(b_{c_1}(c_{b_1}(x1)))) 37.64/10.32 b_{a_1}(a_{b_1}(b_{c_1}(c_{c_1}(x1)))) -> b_{c_1}(c_{b_1}(b_{c_1}(c_{c_1}(x1)))) 37.64/10.32 b_{a_1}(a_{b_1}(b_{c_1}(c_{a_1}(x1)))) -> b_{c_1}(c_{b_1}(b_{c_1}(c_{a_1}(x1)))) 37.64/10.32 c_{a_1}(a_{b_1}(b_{c_1}(c_{b_1}(x1)))) -> c_{c_1}(c_{b_1}(b_{c_1}(c_{b_1}(x1)))) 37.64/10.32 c_{a_1}(a_{b_1}(b_{c_1}(c_{c_1}(x1)))) -> c_{c_1}(c_{b_1}(b_{c_1}(c_{c_1}(x1)))) 37.64/10.32 c_{a_1}(a_{b_1}(b_{c_1}(c_{a_1}(x1)))) -> c_{c_1}(c_{b_1}(b_{c_1}(c_{a_1}(x1)))) 37.64/10.32 a_{c_1}(c_{b_1}(b_{c_1}(c_{b_1}(x1)))) -> a_{a_1}(a_{c_1}(c_{b_1}(b_{b_1}(x1)))) 37.64/10.32 a_{c_1}(c_{b_1}(b_{c_1}(c_{c_1}(x1)))) -> a_{a_1}(a_{c_1}(c_{b_1}(b_{c_1}(x1)))) 37.64/10.32 a_{c_1}(c_{b_1}(b_{c_1}(c_{a_1}(x1)))) -> a_{a_1}(a_{c_1}(c_{b_1}(b_{a_1}(x1)))) 37.64/10.32 b_{c_1}(c_{b_1}(b_{c_1}(c_{b_1}(x1)))) -> b_{a_1}(a_{c_1}(c_{b_1}(b_{b_1}(x1))))
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