Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
SRS_Relative 2019-03-29 08.12 pair #432296783
details
property
value
status
complete
benchmark
rel06.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n171.star.cs.uiowa.edu
space
Zantema_06_relative
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
13.8359 seconds
cpu usage
49.5351
user time
47.201
system time
2.33405
max virtual memory
2.0389124E7
max residence set size
4389508.0
stage attributes
key
value
starexec-result
YES
output
49.27/13.78 YES 49.27/13.79 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 49.27/13.79 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 49.27/13.79 49.27/13.79 49.27/13.79 Termination of the given RelTRS could be proven: 49.27/13.79 49.27/13.79 (0) RelTRS 49.27/13.79 (1) RelTRSRRRProof [EQUIVALENT, 107 ms] 49.27/13.79 (2) RelTRS 49.27/13.79 (3) RelTRSRRRProof [EQUIVALENT, 7 ms] 49.27/13.79 (4) RelTRS 49.27/13.79 (5) FlatCCProof [EQUIVALENT, 0 ms] 49.27/13.79 (6) RelTRS 49.27/13.79 (7) RootLabelingProof [EQUIVALENT, 0 ms] 49.27/13.79 (8) RelTRS 49.27/13.79 (9) RelTRSRRRProof [EQUIVALENT, 0 ms] 49.27/13.79 (10) RelTRS 49.27/13.79 (11) RelTRSRRRProof [EQUIVALENT, 176 ms] 49.27/13.79 (12) RelTRS 49.27/13.79 (13) RelTRSRRRProof [EQUIVALENT, 193 ms] 49.27/13.79 (14) RelTRS 49.27/13.79 (15) RelTRSRRRProof [EQUIVALENT, 6 ms] 49.27/13.79 (16) RelTRS 49.27/13.79 (17) RelTRSRRRProof [EQUIVALENT, 5 ms] 49.27/13.79 (18) RelTRS 49.27/13.79 (19) RelTRSRRRProof [EQUIVALENT, 65 ms] 49.27/13.79 (20) RelTRS 49.27/13.79 (21) RelTRSRRRProof [EQUIVALENT, 7 ms] 49.27/13.79 (22) RelTRS 49.27/13.79 (23) RelTRSRRRProof [EQUIVALENT, 316 ms] 49.27/13.79 (24) RelTRS 49.27/13.79 (25) RIsEmptyProof [EQUIVALENT, 0 ms] 49.27/13.79 (26) YES 49.27/13.79 49.27/13.79 49.27/13.79 ---------------------------------------- 49.27/13.79 49.27/13.79 (0) 49.27/13.79 Obligation: 49.27/13.79 Relative term rewrite system: 49.27/13.79 The relative TRS consists of the following R rules: 49.27/13.79 49.27/13.79 a(x1) -> b(c(x1)) 49.27/13.79 a(b(x1)) -> b(a(x1)) 49.27/13.79 a(c(x1)) -> c(a(x1)) 49.27/13.79 49.27/13.79 The relative TRS consists of the following S rules: 49.27/13.79 49.27/13.79 d(c(x1)) -> d(a(x1)) 49.27/13.79 d(a(x1)) -> d(c(b(x1))) 49.27/13.79 49.27/13.79 49.27/13.79 ---------------------------------------- 49.27/13.79 49.27/13.79 (1) RelTRSRRRProof (EQUIVALENT) 49.27/13.79 We used the following monotonic ordering for rule removal: 49.27/13.79 Matrix interpretation [MATRO] to (N^2, +, *, >=, >) : 49.27/13.79 49.27/13.79 <<< 49.27/13.79 POL(a(x_1)) = [[1], [1]] + [[1, 0], [0, 1]] * x_1 49.27/13.79 >>> 49.27/13.79 49.27/13.79 <<< 49.27/13.79 POL(b(x_1)) = [[0], [0]] + [[1, 0], [0, 0]] * x_1 49.27/13.79 >>> 49.27/13.79 49.27/13.79 <<< 49.27/13.79 POL(c(x_1)) = [[0], [2]] + [[1, 0], [0, 1]] * x_1 49.27/13.79 >>> 49.27/13.79 49.27/13.79 <<< 49.27/13.79 POL(d(x_1)) = [[0], [0]] + [[2, 2], [0, 0]] * x_1 49.27/13.79 >>> 49.27/13.79 49.27/13.79 With this ordering the following rules can be removed [MATRO] because they are oriented strictly: 49.27/13.79 Rules from R: 49.27/13.79 49.27/13.79 a(x1) -> b(c(x1)) 49.27/13.79 Rules from S: 49.27/13.79 none 49.27/13.79 49.27/13.79 49.27/13.79 49.27/13.79 49.27/13.79 ---------------------------------------- 49.27/13.79 49.27/13.79 (2) 49.27/13.79 Obligation: 49.27/13.79 Relative term rewrite system: 49.27/13.79 The relative TRS consists of the following R rules: 49.27/13.79 49.27/13.79 a(b(x1)) -> b(a(x1)) 49.27/13.79 a(c(x1)) -> c(a(x1)) 49.27/13.79 49.27/13.79 The relative TRS consists of the following S rules: 49.27/13.79 49.27/13.79 d(c(x1)) -> d(a(x1)) 49.27/13.79 d(a(x1)) -> d(c(b(x1))) 49.27/13.79
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