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SRS_Relative 2019-03-29 08.12 pair #432296398
details
property
value
status
complete
benchmark
random-105.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n133.star.cs.uiowa.edu
space
Waldmann_19
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
7.94902 seconds
cpu usage
28.5003
user time
27.3019
system time
1.19831
max virtual memory
3.9021492E7
max residence set size
2789820.0
stage attributes
key
value
starexec-result
YES
output
28.20/7.89 YES 28.20/7.90 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 28.20/7.90 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 28.20/7.90 28.20/7.90 28.20/7.90 Termination of the given RelTRS could be proven: 28.20/7.90 28.20/7.90 (0) RelTRS 28.20/7.90 (1) RelTRS Reverse [EQUIVALENT, 0 ms] 28.20/7.90 (2) RelTRS 28.20/7.90 (3) RelTRSRRRProof [EQUIVALENT, 346 ms] 28.20/7.90 (4) RelTRS 28.20/7.90 (5) RelTRSRRRProof [EQUIVALENT, 351 ms] 28.20/7.90 (6) RelTRS 28.20/7.90 (7) RelTRSRRRProof [EQUIVALENT, 1 ms] 28.20/7.90 (8) RelTRS 28.20/7.90 (9) RIsEmptyProof [EQUIVALENT, 0 ms] 28.20/7.90 (10) YES 28.20/7.90 28.20/7.90 28.20/7.90 ---------------------------------------- 28.20/7.90 28.20/7.90 (0) 28.20/7.90 Obligation: 28.20/7.90 Relative term rewrite system: 28.20/7.90 The relative TRS consists of the following R rules: 28.20/7.90 28.20/7.90 c(c(c(x1))) -> b(b(b(x1))) 28.20/7.90 28.20/7.90 The relative TRS consists of the following S rules: 28.20/7.90 28.20/7.90 b(a(a(x1))) -> a(b(c(x1))) 28.20/7.90 b(b(b(x1))) -> a(a(b(x1))) 28.20/7.90 b(c(a(x1))) -> a(c(a(x1))) 28.20/7.90 a(c(b(x1))) -> c(a(a(x1))) 28.20/7.90 28.20/7.90 28.20/7.90 ---------------------------------------- 28.20/7.90 28.20/7.90 (1) RelTRS Reverse (EQUIVALENT) 28.20/7.90 We have reversed the following relative TRS [REVERSE]: 28.20/7.90 The set of rules R is 28.20/7.90 c(c(c(x1))) -> b(b(b(x1))) 28.20/7.90 28.20/7.90 The set of rules S is 28.20/7.90 b(a(a(x1))) -> a(b(c(x1))) 28.20/7.90 b(b(b(x1))) -> a(a(b(x1))) 28.20/7.90 b(c(a(x1))) -> a(c(a(x1))) 28.20/7.90 a(c(b(x1))) -> c(a(a(x1))) 28.20/7.90 28.20/7.90 We have obtained the following relative TRS: 28.20/7.90 The set of rules R is 28.20/7.90 c(c(c(x1))) -> b(b(b(x1))) 28.20/7.90 28.20/7.90 The set of rules S is 28.20/7.90 a(a(b(x1))) -> c(b(a(x1))) 28.20/7.90 b(b(b(x1))) -> b(a(a(x1))) 28.20/7.90 a(c(b(x1))) -> a(c(a(x1))) 28.20/7.90 b(c(a(x1))) -> a(a(c(x1))) 28.20/7.90 28.20/7.90 28.20/7.90 ---------------------------------------- 28.20/7.90 28.20/7.90 (2) 28.20/7.90 Obligation: 28.20/7.90 Relative term rewrite system: 28.20/7.90 The relative TRS consists of the following R rules: 28.20/7.90 28.20/7.90 c(c(c(x1))) -> b(b(b(x1))) 28.20/7.90 28.20/7.90 The relative TRS consists of the following S rules: 28.20/7.90 28.20/7.90 a(a(b(x1))) -> c(b(a(x1))) 28.20/7.90 b(b(b(x1))) -> b(a(a(x1))) 28.20/7.90 a(c(b(x1))) -> a(c(a(x1))) 28.20/7.90 b(c(a(x1))) -> a(a(c(x1))) 28.20/7.90 28.20/7.90 28.20/7.90 ---------------------------------------- 28.20/7.90 28.20/7.90 (3) RelTRSRRRProof (EQUIVALENT) 28.20/7.90 We used the following monotonic ordering for rule removal: 28.20/7.90 Matrix interpretation [MATRO] to (N^2, +, *, >=, >) : 28.20/7.90 28.20/7.90 <<< 28.20/7.90 POL(c(x_1)) = [[0], [1]] + [[1, 1], [1, 0]] * x_1 28.20/7.90 >>> 28.20/7.90 28.20/7.90 <<< 28.20/7.90 POL(b(x_1)) = [[0], [1]] + [[1, 1], [1, 0]] * x_1 28.20/7.90 >>> 28.20/7.90 28.20/7.90 <<< 28.20/7.90 POL(a(x_1)) = [[0], [0]] + [[1, 1], [1, 0]] * x_1 28.20/7.90 >>> 28.20/7.90 28.20/7.90 With this ordering the following rules can be removed [MATRO] because they are oriented strictly: 28.20/7.90 Rules from R: 28.20/7.90 none 28.20/7.90 Rules from S:
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