Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
SRS Stand 10685 pair #381717323
details
property
value
status
complete
benchmark
x03.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n092.star.cs.uiowa.edu
space
Secret_07_SRS
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
3.82777190208 seconds
cpu usage
11.219313372
max memory
9.19375872E8
stage attributes
key
value
output-size
4636
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRSRRRProof [EQUIVALENT, 44 ms] (2) QTRS (3) DependencyPairsProof [EQUIVALENT, 20 ms] (4) QDP (5) QDPOrderProof [EQUIVALENT, 56 ms] (6) QDP (7) QDPOrderProof [EQUIVALENT, 73 ms] (8) QDP (9) DependencyGraphProof [EQUIVALENT, 0 ms] (10) TRUE ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a(b(c(x1))) -> b(x1) c(b(b(x1))) -> a(x1) c(x1) -> b(x1) a(a(x1)) -> c(b(a(c(x1)))) Q is empty. ---------------------------------------- (1) QTRSRRRProof (EQUIVALENT) Used ordering: Polynomial interpretation [POLO]: POL(a(x_1)) = 3 + x_1 POL(b(x_1)) = 1 + x_1 POL(c(x_1)) = 1 + x_1 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: a(b(c(x1))) -> b(x1) ---------------------------------------- (2) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: c(b(b(x1))) -> a(x1) c(x1) -> b(x1) a(a(x1)) -> c(b(a(c(x1)))) Q is empty. ---------------------------------------- (3) DependencyPairsProof (EQUIVALENT) Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. ---------------------------------------- (4) Obligation: Q DP problem: The TRS P consists of the following rules: C(b(b(x1))) -> A(x1) A(a(x1)) -> C(b(a(c(x1)))) A(a(x1)) -> A(c(x1)) A(a(x1)) -> C(x1) The TRS R consists of the following rules: c(b(b(x1))) -> a(x1) c(x1) -> b(x1) a(a(x1)) -> c(b(a(c(x1)))) Q is empty. We have to consider all minimal (P,Q,R)-chains. ---------------------------------------- (5) QDPOrderProof (EQUIVALENT) We use the reduction pair processor [LPAR04,JAR06]. The following pairs can be oriented strictly and are deleted.
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to SRS Stand 10685