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SRS_Relative 2019-03-29 08.12 pair #432296278
details
property
value
status
complete
benchmark
random-78.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n077.star.cs.uiowa.edu
space
Waldmann_19
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
9.03992 seconds
cpu usage
32.243
user time
30.8892
system time
1.3538
max virtual memory
4.0424184E7
max residence set size
4002968.0
stage attributes
key
value
starexec-result
YES
output
31.48/8.80 YES 31.86/8.99 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 31.86/8.99 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 31.86/8.99 31.86/8.99 31.86/8.99 Termination of the given RelTRS could be proven: 31.86/8.99 31.86/8.99 (0) RelTRS 31.86/8.99 (1) FlatCCProof [EQUIVALENT, 0 ms] 31.86/8.99 (2) RelTRS 31.86/8.99 (3) RootLabelingProof [EQUIVALENT, 17 ms] 31.86/8.99 (4) RelTRS 31.86/8.99 (5) RelTRSRRRProof [EQUIVALENT, 82 ms] 31.86/8.99 (6) RelTRS 31.86/8.99 (7) RelTRSRRRProof [EQUIVALENT, 1826 ms] 31.86/8.99 (8) RelTRS 31.86/8.99 (9) RelTRSRRRProof [EQUIVALENT, 982 ms] 31.86/8.99 (10) RelTRS 31.86/8.99 (11) RIsEmptyProof [EQUIVALENT, 0 ms] 31.86/8.99 (12) YES 31.86/8.99 31.86/8.99 31.86/8.99 ---------------------------------------- 31.86/8.99 31.86/8.99 (0) 31.86/8.99 Obligation: 31.86/8.99 Relative term rewrite system: 31.86/8.99 The relative TRS consists of the following R rules: 31.86/8.99 31.86/8.99 a(c(b(x1))) -> b(a(b(x1))) 31.86/8.99 a(b(c(x1))) -> b(b(c(x1))) 31.86/8.99 31.86/8.99 The relative TRS consists of the following S rules: 31.86/8.99 31.86/8.99 a(b(c(x1))) -> c(c(b(x1))) 31.86/8.99 b(a(c(x1))) -> c(a(c(x1))) 31.86/8.99 a(a(c(x1))) -> a(a(b(x1))) 31.86/8.99 b(c(a(x1))) -> a(c(b(x1))) 31.86/8.99 a(a(a(x1))) -> c(a(b(x1))) 31.86/8.99 31.86/8.99 31.86/8.99 ---------------------------------------- 31.86/8.99 31.86/8.99 (1) FlatCCProof (EQUIVALENT) 31.86/8.99 We used flat context closure [ROOTLAB] 31.86/8.99 31.86/8.99 ---------------------------------------- 31.86/8.99 31.86/8.99 (2) 31.86/8.99 Obligation: 31.86/8.99 Relative term rewrite system: 31.86/8.99 The relative TRS consists of the following R rules: 31.86/8.99 31.86/8.99 a(a(c(b(x1)))) -> a(b(a(b(x1)))) 31.86/8.99 c(a(c(b(x1)))) -> c(b(a(b(x1)))) 31.86/8.99 b(a(c(b(x1)))) -> b(b(a(b(x1)))) 31.86/8.99 a(a(b(c(x1)))) -> a(b(b(c(x1)))) 31.86/8.99 c(a(b(c(x1)))) -> c(b(b(c(x1)))) 31.86/8.99 b(a(b(c(x1)))) -> b(b(b(c(x1)))) 31.86/8.99 31.86/8.99 The relative TRS consists of the following S rules: 31.86/8.99 31.86/8.99 a(a(c(x1))) -> a(a(b(x1))) 31.86/8.99 a(a(b(c(x1)))) -> a(c(c(b(x1)))) 31.86/8.99 c(a(b(c(x1)))) -> c(c(c(b(x1)))) 31.86/8.99 b(a(b(c(x1)))) -> b(c(c(b(x1)))) 31.86/8.99 a(b(a(c(x1)))) -> a(c(a(c(x1)))) 31.86/8.99 c(b(a(c(x1)))) -> c(c(a(c(x1)))) 31.86/8.99 b(b(a(c(x1)))) -> b(c(a(c(x1)))) 31.86/8.99 a(b(c(a(x1)))) -> a(a(c(b(x1)))) 31.86/8.99 c(b(c(a(x1)))) -> c(a(c(b(x1)))) 31.86/8.99 b(b(c(a(x1)))) -> b(a(c(b(x1)))) 31.86/8.99 a(a(a(a(x1)))) -> a(c(a(b(x1)))) 31.86/8.99 c(a(a(a(x1)))) -> c(c(a(b(x1)))) 31.86/8.99 b(a(a(a(x1)))) -> b(c(a(b(x1)))) 31.86/8.99 31.86/8.99 31.86/8.99 ---------------------------------------- 31.86/8.99 31.86/8.99 (3) RootLabelingProof (EQUIVALENT) 31.86/8.99 We used plain root labeling [ROOTLAB] with the following heuristic: 31.86/8.99 LabelAll: All function symbols get labeled 31.86/8.99 31.86/8.99 31.86/8.99 ---------------------------------------- 31.86/8.99 31.86/8.99 (4) 31.86/8.99 Obligation: 31.86/8.99 Relative term rewrite system: 31.86/8.99 The relative TRS consists of the following R rules: 31.86/8.99 31.86/8.99 a_{a_1}(a_{c_1}(c_{b_1}(b_{a_1}(x1)))) -> a_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(x1)))) 31.86/8.99 a_{a_1}(a_{c_1}(c_{b_1}(b_{c_1}(x1)))) -> a_{b_1}(b_{a_1}(a_{b_1}(b_{c_1}(x1)))) 31.86/8.99 a_{a_1}(a_{c_1}(c_{b_1}(b_{b_1}(x1)))) -> a_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(x1)))) 31.86/8.99 c_{a_1}(a_{c_1}(c_{b_1}(b_{a_1}(x1)))) -> c_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(x1)))) 31.86/8.99 c_{a_1}(a_{c_1}(c_{b_1}(b_{c_1}(x1)))) -> c_{b_1}(b_{a_1}(a_{b_1}(b_{c_1}(x1)))) 31.86/8.99 c_{a_1}(a_{c_1}(c_{b_1}(b_{b_1}(x1)))) -> c_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(x1)))) 31.86/8.99 b_{a_1}(a_{c_1}(c_{b_1}(b_{a_1}(x1)))) -> b_{b_1}(b_{a_1}(a_{b_1}(b_{a_1}(x1)))) 31.86/8.99 b_{a_1}(a_{c_1}(c_{b_1}(b_{c_1}(x1)))) -> b_{b_1}(b_{a_1}(a_{b_1}(b_{c_1}(x1)))) 31.86/8.99 b_{a_1}(a_{c_1}(c_{b_1}(b_{b_1}(x1)))) -> b_{b_1}(b_{a_1}(a_{b_1}(b_{b_1}(x1))))
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