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SRS_Relative 2019-03-29 08.12 pair #432295398
details
property
value
status
complete
benchmark
dup04.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n066.star.cs.uiowa.edu
space
Mixed_relative_SRS
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
53.8079 seconds
cpu usage
206.882
user time
202.724
system time
4.15825
max virtual memory
5.8039712E7
max residence set size
9465608.0
stage attributes
key
value
starexec-result
YES
output
206.41/53.74 YES 206.41/53.74 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 206.41/53.74 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 206.41/53.74 206.41/53.74 206.41/53.74 Termination of the given RelTRS could be proven: 206.41/53.74 206.41/53.74 (0) RelTRS 206.41/53.74 (1) RelTRS Reverse [EQUIVALENT, 0 ms] 206.41/53.74 (2) RelTRS 206.41/53.74 (3) RootLabelingProof [EQUIVALENT, 0 ms] 206.41/53.74 (4) RelTRS 206.41/53.74 (5) RelTRSRRRProof [EQUIVALENT, 754 ms] 206.41/53.74 (6) RelTRS 206.41/53.74 (7) RelTRSRRRProof [EQUIVALENT, 386 ms] 206.41/53.74 (8) RelTRS 206.41/53.74 (9) RIsEmptyProof [EQUIVALENT, 0 ms] 206.41/53.74 (10) YES 206.41/53.74 206.41/53.74 206.41/53.74 ---------------------------------------- 206.41/53.74 206.41/53.74 (0) 206.41/53.74 Obligation: 206.41/53.74 Relative term rewrite system: 206.41/53.74 The relative TRS consists of the following R rules: 206.41/53.74 206.41/53.74 a(a(b(b(a(a(x1)))))) -> a(a(b(b(b(b(a(a(x1)))))))) 206.41/53.74 b(b(a(a(b(b(x1)))))) -> b(b(a(a(a(a(b(b(x1)))))))) 206.41/53.74 206.41/53.74 The relative TRS consists of the following S rules: 206.41/53.74 206.41/53.74 a(a(x1)) -> a(a(a(a(a(a(x1)))))) 206.41/53.74 b(b(x1)) -> b(b(b(b(b(b(x1)))))) 206.41/53.74 206.41/53.74 206.41/53.74 ---------------------------------------- 206.41/53.74 206.41/53.74 (1) RelTRS Reverse (EQUIVALENT) 206.41/53.74 We have reversed the following relative TRS [REVERSE]: 206.41/53.74 The set of rules R is 206.41/53.74 a(a(b(b(a(a(x1)))))) -> a(a(b(b(b(b(a(a(x1)))))))) 206.41/53.74 b(b(a(a(b(b(x1)))))) -> b(b(a(a(a(a(b(b(x1)))))))) 206.41/53.74 206.41/53.74 The set of rules S is 206.41/53.74 a(a(x1)) -> a(a(a(a(a(a(x1)))))) 206.41/53.74 b(b(x1)) -> b(b(b(b(b(b(x1)))))) 206.41/53.74 206.41/53.74 We have obtained the following relative TRS: 206.41/53.74 The set of rules R is 206.41/53.74 a(a(b(b(a(a(x1)))))) -> a(a(b(b(b(b(a(a(x1)))))))) 206.41/53.74 b(b(a(a(b(b(x1)))))) -> b(b(a(a(a(a(b(b(x1)))))))) 206.41/53.74 206.41/53.74 The set of rules S is 206.41/53.74 a(a(x1)) -> a(a(a(a(a(a(x1)))))) 206.41/53.74 b(b(x1)) -> b(b(b(b(b(b(x1)))))) 206.41/53.74 206.41/53.74 206.41/53.74 ---------------------------------------- 206.41/53.74 206.41/53.74 (2) 206.41/53.74 Obligation: 206.41/53.74 Relative term rewrite system: 206.41/53.74 The relative TRS consists of the following R rules: 206.41/53.74 206.41/53.74 a(a(b(b(a(a(x1)))))) -> a(a(b(b(b(b(a(a(x1)))))))) 206.41/53.74 b(b(a(a(b(b(x1)))))) -> b(b(a(a(a(a(b(b(x1)))))))) 206.41/53.74 206.41/53.74 The relative TRS consists of the following S rules: 206.41/53.74 206.41/53.74 a(a(x1)) -> a(a(a(a(a(a(x1)))))) 206.41/53.74 b(b(x1)) -> b(b(b(b(b(b(x1)))))) 206.41/53.74 206.41/53.74 206.41/53.74 ---------------------------------------- 206.41/53.74 206.41/53.74 (3) RootLabelingProof (EQUIVALENT) 206.41/53.74 We used plain root labeling [ROOTLAB] with the following heuristic: 206.41/53.74 LabelAll: All function symbols get labeled 206.41/53.74 206.41/53.74 206.41/53.74 ---------------------------------------- 206.41/53.74 206.41/53.74 (4) 206.41/53.74 Obligation: 206.41/53.74 Relative term rewrite system: 206.41/53.74 The relative TRS consists of the following R rules: 206.41/53.74 206.41/53.74 a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x1)))))) -> a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(x1)))))))) 206.41/53.74 a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x1)))))) -> a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(x1)))))))) 206.41/53.74 b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x1)))))) -> b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{a_1}(x1)))))))) 206.41/53.74 b_{b_1}(b_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x1)))))) -> b_{b_1}(b_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(b_{b_1}(b_{b_1}(x1)))))))) 206.41/53.74 206.41/53.74 The relative TRS consists of the following S rules: 206.41/53.74 206.41/53.74 a_{a_1}(a_{a_1}(x1)) -> a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(x1)))))) 206.41/53.74 a_{a_1}(a_{b_1}(x1)) -> a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{a_1}(a_{b_1}(x1)))))) 206.41/53.74 b_{b_1}(b_{a_1}(x1)) -> b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{a_1}(x1)))))) 206.41/53.74 b_{b_1}(b_{b_1}(x1)) -> b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(b_{b_1}(x1)))))) 206.41/53.74
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