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SRS_Relative 2019-03-29 08.12 pair #432296743
details
property
value
status
complete
benchmark
random-98.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n002.star.cs.uiowa.edu
space
Waldmann_19
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
6.24385 seconds
cpu usage
20.9272
user time
19.9611
system time
0.966075
max virtual memory
1.9576556E7
max residence set size
2010832.0
stage attributes
key
value
starexec-result
YES
output
20.75/6.19 YES 20.75/6.20 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 20.75/6.20 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 20.75/6.20 20.75/6.20 20.75/6.20 Termination of the given RelTRS could be proven: 20.75/6.20 20.75/6.20 (0) RelTRS 20.75/6.20 (1) RelTRSRRRProof [EQUIVALENT, 471 ms] 20.75/6.20 (2) RelTRS 20.75/6.20 (3) RelTRSRRRProof [EQUIVALENT, 295 ms] 20.75/6.20 (4) RelTRS 20.75/6.20 (5) RelTRSRRRProof [EQUIVALENT, 0 ms] 20.75/6.20 (6) RelTRS 20.75/6.20 (7) RelTRSRRRProof [EQUIVALENT, 2 ms] 20.75/6.20 (8) RelTRS 20.75/6.20 (9) RIsEmptyProof [EQUIVALENT, 0 ms] 20.75/6.20 (10) YES 20.75/6.20 20.75/6.20 20.75/6.20 ---------------------------------------- 20.75/6.20 20.75/6.20 (0) 20.75/6.20 Obligation: 20.75/6.20 Relative term rewrite system: 20.75/6.20 The relative TRS consists of the following R rules: 20.75/6.20 20.75/6.20 a(a(c(x1))) -> c(c(b(x1))) 20.75/6.20 b(b(b(x1))) -> a(b(b(x1))) 20.75/6.20 20.75/6.20 The relative TRS consists of the following S rules: 20.75/6.20 20.75/6.20 b(b(a(x1))) -> a(a(c(x1))) 20.75/6.20 c(c(b(x1))) -> b(b(c(x1))) 20.75/6.20 b(b(a(x1))) -> a(b(b(x1))) 20.75/6.20 a(b(a(x1))) -> c(b(a(x1))) 20.75/6.20 20.75/6.20 20.75/6.20 ---------------------------------------- 20.75/6.20 20.75/6.20 (1) RelTRSRRRProof (EQUIVALENT) 20.75/6.20 We used the following monotonic ordering for rule removal: 20.75/6.20 Matrix interpretation [MATRO] to (N^2, +, *, >=, >) : 20.75/6.20 20.75/6.20 <<< 20.75/6.20 POL(a(x_1)) = [[0], [1]] + [[1, 1], [1, 0]] * x_1 20.75/6.20 >>> 20.75/6.20 20.75/6.20 <<< 20.75/6.20 POL(c(x_1)) = [[0], [0]] + [[1, 1], [1, 0]] * x_1 20.75/6.20 >>> 20.75/6.20 20.75/6.20 <<< 20.75/6.20 POL(b(x_1)) = [[0], [1]] + [[1, 1], [1, 0]] * x_1 20.75/6.20 >>> 20.75/6.20 20.75/6.20 With this ordering the following rules can be removed [MATRO] because they are oriented strictly: 20.75/6.20 Rules from R: 20.75/6.20 none 20.75/6.20 Rules from S: 20.75/6.20 20.75/6.20 b(b(a(x1))) -> a(a(c(x1))) 20.75/6.20 20.75/6.20 20.75/6.20 20.75/6.20 20.75/6.20 ---------------------------------------- 20.75/6.20 20.75/6.20 (2) 20.75/6.20 Obligation: 20.75/6.20 Relative term rewrite system: 20.75/6.20 The relative TRS consists of the following R rules: 20.75/6.20 20.75/6.20 a(a(c(x1))) -> c(c(b(x1))) 20.75/6.20 b(b(b(x1))) -> a(b(b(x1))) 20.75/6.20 20.75/6.20 The relative TRS consists of the following S rules: 20.75/6.20 20.75/6.20 c(c(b(x1))) -> b(b(c(x1))) 20.75/6.20 b(b(a(x1))) -> a(b(b(x1))) 20.75/6.20 a(b(a(x1))) -> c(b(a(x1))) 20.75/6.20 20.75/6.20 20.75/6.20 ---------------------------------------- 20.75/6.20 20.75/6.20 (3) RelTRSRRRProof (EQUIVALENT) 20.75/6.20 We used the following monotonic ordering for rule removal: 20.75/6.20 Matrix interpretation [MATRO] to (N^2, +, *, >=, >) : 20.75/6.20 20.75/6.20 <<< 20.75/6.20 POL(a(x_1)) = [[1], [0]] + [[1, 1], [1, 0]] * x_1 20.75/6.20 >>> 20.75/6.20 20.75/6.20 <<< 20.75/6.20 POL(c(x_1)) = [[0], [0]] + [[1, 1], [1, 0]] * x_1 20.75/6.20 >>> 20.75/6.20 20.75/6.20 <<< 20.75/6.20 POL(b(x_1)) = [[1], [0]] + [[1, 1], [1, 0]] * x_1 20.75/6.20 >>>
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