Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
SRS_Relative 2019-03-29 08.12 pair #432295403
details
property
value
status
complete
benchmark
zr04.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n052.star.cs.uiowa.edu
space
Mixed_relative_SRS
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
6.1741 seconds
cpu usage
20.3842
user time
18.9037
system time
1.48046
max virtual memory
3.8325268E7
max residence set size
4021080.0
stage attributes
key
value
starexec-result
YES
output
15.39/4.86 YES 19.90/6.08 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 19.90/6.08 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 19.90/6.08 19.90/6.08 19.90/6.08 Termination of the given RelTRS could be proven: 19.90/6.08 19.90/6.08 (0) RelTRS 19.90/6.08 (1) RelTRSRRRProof [EQUIVALENT, 49 ms] 19.90/6.08 (2) RelTRS 19.90/6.08 (3) RelTRSRRRProof [EQUIVALENT, 125 ms] 19.90/6.08 (4) RelTRS 19.90/6.08 (5) RelTRSRRRProof [EQUIVALENT, 6 ms] 19.90/6.08 (6) RelTRS 19.90/6.08 (7) RelTRSRRRProof [EQUIVALENT, 36 ms] 19.90/6.08 (8) RelTRS 19.90/6.08 (9) RelTRSRRRProof [EQUIVALENT, 34 ms] 19.90/6.08 (10) RelTRS 19.90/6.08 (11) RelTRSRRRProof [EQUIVALENT, 21 ms] 19.90/6.08 (12) RelTRS 19.90/6.08 (13) RIsEmptyProof [EQUIVALENT, 0 ms] 19.90/6.08 (14) YES 19.90/6.08 19.90/6.08 19.90/6.08 ---------------------------------------- 19.90/6.08 19.90/6.08 (0) 19.90/6.08 Obligation: 19.90/6.08 Relative term rewrite system: 19.90/6.08 The relative TRS consists of the following R rules: 19.90/6.08 19.90/6.08 d(n(x1)) -> d(x1) 19.90/6.08 d(o(x1)) -> d(x1) 19.90/6.08 o(u(x1)) -> u(x1) 19.90/6.08 19.90/6.08 The relative TRS consists of the following S rules: 19.90/6.08 19.90/6.08 t(u(x1)) -> t(c(d(x1))) 19.90/6.08 d(f(x1)) -> f(d(x1)) 19.90/6.08 d(g(x1)) -> u(g(x1)) 19.90/6.08 f(u(x1)) -> u(f(x1)) 19.90/6.08 n(u(x1)) -> u(x1) 19.90/6.08 f(x1) -> f(n(x1)) 19.90/6.08 t(x1) -> t(c(n(x1))) 19.90/6.08 c(n(x1)) -> n(c(x1)) 19.90/6.08 c(o(x1)) -> o(c(x1)) 19.90/6.08 c(o(x1)) -> o(x1) 19.90/6.08 c(f(x1)) -> f(c(x1)) 19.90/6.08 c(u(x1)) -> u(c(x1)) 19.90/6.08 c(d(x1)) -> d(c(x1)) 19.90/6.08 19.90/6.08 19.90/6.08 ---------------------------------------- 19.90/6.08 19.90/6.08 (1) RelTRSRRRProof (EQUIVALENT) 19.90/6.08 We used the following monotonic ordering for rule removal: 19.90/6.08 Polynomial interpretation [POLO]: 19.90/6.08 19.90/6.08 POL(c(x_1)) = x_1 19.90/6.08 POL(d(x_1)) = x_1 19.90/6.08 POL(f(x_1)) = x_1 19.90/6.08 POL(g(x_1)) = x_1 19.90/6.08 POL(n(x_1)) = x_1 19.90/6.08 POL(o(x_1)) = 1 + x_1 19.90/6.08 POL(t(x_1)) = x_1 19.90/6.08 POL(u(x_1)) = x_1 19.90/6.08 With this ordering the following rules can be removed [MATRO] because they are oriented strictly: 19.90/6.08 Rules from R: 19.90/6.08 19.90/6.08 d(o(x1)) -> d(x1) 19.90/6.08 o(u(x1)) -> u(x1) 19.90/6.08 Rules from S: 19.90/6.08 none 19.90/6.08 19.90/6.08 19.90/6.08 19.90/6.08 19.90/6.08 ---------------------------------------- 19.90/6.08 19.90/6.08 (2) 19.90/6.08 Obligation: 19.90/6.08 Relative term rewrite system: 19.90/6.08 The relative TRS consists of the following R rules: 19.90/6.08 19.90/6.08 d(n(x1)) -> d(x1) 19.90/6.08 19.90/6.08 The relative TRS consists of the following S rules: 19.90/6.08 19.90/6.08 t(u(x1)) -> t(c(d(x1))) 19.90/6.08 d(f(x1)) -> f(d(x1)) 19.90/6.08 d(g(x1)) -> u(g(x1)) 19.90/6.08 f(u(x1)) -> u(f(x1)) 19.90/6.08 n(u(x1)) -> u(x1) 19.90/6.08 f(x1) -> f(n(x1)) 19.90/6.08 t(x1) -> t(c(n(x1))) 19.90/6.08 c(n(x1)) -> n(c(x1)) 19.90/6.08 c(o(x1)) -> o(c(x1)) 19.90/6.08 c(o(x1)) -> o(x1) 19.90/6.08 c(f(x1)) -> f(c(x1)) 19.90/6.08 c(u(x1)) -> u(c(x1))
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