Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
SRS Relative pair #487521326
details
property
value
status
complete
benchmark
random-126.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n147.star.cs.uiowa.edu
space
Waldmann_19
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.78188490868 seconds
cpu usage
4.274853915
max memory
3.1387648E8
stage attributes
key
value
output-size
2343
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given RelTRS could be proven: (0) RelTRS (1) RelTRS S Cleaner [EQUIVALENT, 0 ms] (2) RelTRS (3) RelTRSRRRProof [EQUIVALENT, 40 ms] (4) RelTRS (5) RIsEmptyProof [EQUIVALENT, 0 ms] (6) YES ---------------------------------------- (0) Obligation: Relative term rewrite system: The relative TRS consists of the following R rules: a(b(c(x1))) -> b(a(a(x1))) a(b(b(x1))) -> b(c(a(x1))) The relative TRS consists of the following S rules: a(b(a(x1))) -> a(b(a(x1))) c(b(a(x1))) -> a(a(b(x1))) c(a(a(x1))) -> c(a(b(x1))) c(b(c(x1))) -> a(c(c(x1))) ---------------------------------------- (1) RelTRS S Cleaner (EQUIVALENT) We have deleted all rules from S that have the shape t -> t: a(b(a(x1))) -> a(b(a(x1))) ---------------------------------------- (2) Obligation: Relative term rewrite system: The relative TRS consists of the following R rules: a(b(c(x1))) -> b(a(a(x1))) a(b(b(x1))) -> b(c(a(x1))) The relative TRS consists of the following S rules: c(b(a(x1))) -> a(a(b(x1))) c(a(a(x1))) -> c(a(b(x1))) c(b(c(x1))) -> a(c(c(x1))) ---------------------------------------- (3) RelTRSRRRProof (EQUIVALENT) We used the following monotonic ordering for rule removal: Knuth-Bendix order [KBO] with precedence:c_1 > a_1 > b_1 and weight map: a_1=1 b_1=1 c_1=1 The variable weight is 1With this ordering the following rules can be removed [MATRO] because they are oriented strictly: Rules from R: a(b(c(x1))) -> b(a(a(x1))) a(b(b(x1))) -> b(c(a(x1))) Rules from S: c(b(a(x1))) -> a(a(b(x1))) c(a(a(x1))) -> c(a(b(x1))) c(b(c(x1))) -> a(c(c(x1))) ---------------------------------------- (4) Obligation: Relative term rewrite system: R is empty. S is empty. ----------------------------------------
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to SRS Relative