Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
SRS_Relative 2019-03-29 08.12 pair #432296853
details
property
value
status
complete
benchmark
r5.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n130.star.cs.uiowa.edu
space
Waldmann_06_relative
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
8.69827 seconds
cpu usage
19.5305
user time
18.8705
system time
0.659978
max virtual memory
7.6794168E7
max residence set size
1650732.0
stage attributes
key
value
starexec-result
YES
output
19.30/5.69 YES 19.30/5.69 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 19.30/5.69 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 19.30/5.69 19.30/5.69 19.30/5.69 Termination of the given RelTRS could be proven: 19.30/5.69 19.30/5.69 (0) RelTRS 19.30/5.69 (1) RelTRSRRRProof [EQUIVALENT, 837 ms] 19.30/5.69 (2) RelTRS 19.30/5.69 (3) RIsEmptyProof [EQUIVALENT, 0 ms] 19.30/5.69 (4) YES 19.30/5.69 19.30/5.69 19.30/5.69 ---------------------------------------- 19.30/5.69 19.30/5.69 (0) 19.30/5.69 Obligation: 19.30/5.69 Relative term rewrite system: 19.30/5.69 The relative TRS consists of the following R rules: 19.30/5.69 19.30/5.69 a(a(b(b(x1)))) -> x1 19.30/5.69 19.30/5.69 The relative TRS consists of the following S rules: 19.30/5.69 19.30/5.69 b(a(x1)) -> a(b(a(b(x1)))) 19.30/5.69 19.30/5.69 19.30/5.69 ---------------------------------------- 19.30/5.69 19.30/5.69 (1) RelTRSRRRProof (EQUIVALENT) 19.30/5.69 We used the following monotonic ordering for rule removal: 19.30/5.69 Matrix interpretation [MATRO] to (N^6, +, *, >=, >) : 19.30/5.69 19.30/5.69 <<< 19.30/5.69 POL(a(x_1)) = [[0], [0], [0], [0], [0], [0]] + [[1, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 0], [0, 0, 0, 1, 1, 0], [0, 0, 0, 1, 0, 1], [0, 0, 0, 1, 0, 0], [0, 0, 1, 0, 0, 0]] * x_1 19.30/5.69 >>> 19.30/5.69 19.30/5.69 <<< 19.30/5.69 POL(b(x_1)) = [[0], [1], [0], [0], [0], [0]] + [[1, 0, 0, 0, 0, 0], [0, 0, 1, 1, 1, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 1], [0, 1, 0, 0, 0, 0]] * x_1 19.30/5.69 >>> 19.30/5.69 19.30/5.69 With this ordering the following rules can be removed [MATRO] because they are oriented strictly: 19.30/5.69 Rules from R: 19.30/5.69 19.30/5.69 a(a(b(b(x1)))) -> x1 19.30/5.69 Rules from S: 19.30/5.69 none 19.30/5.69 19.30/5.69 19.30/5.69 19.30/5.69 19.30/5.69 ---------------------------------------- 19.30/5.69 19.30/5.69 (2) 19.30/5.69 Obligation: 19.30/5.69 Relative term rewrite system: 19.30/5.69 R is empty. 19.30/5.69 The relative TRS consists of the following S rules: 19.30/5.69 19.30/5.69 b(a(x1)) -> a(b(a(b(x1)))) 19.30/5.69 19.30/5.69 19.30/5.69 ---------------------------------------- 19.30/5.69 19.30/5.69 (3) RIsEmptyProof (EQUIVALENT) 19.30/5.69 The TRS R is empty. Hence, termination is trivially proven. 19.30/5.69 ---------------------------------------- 19.30/5.69 19.30/5.69 (4) 19.30/5.69 YES 19.51/8.69 EOF
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to SRS_Relative 2019-03-29 08.12