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SRS Standard pair #487519973
details
property
value
status
complete
benchmark
z116.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n030.star.cs.uiowa.edu
space
Zantema_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
2.10143399239 seconds
cpu usage
5.172564718
max memory
4.05262336E8
stage attributes
key
value
output-size
1547
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRSRRRProof [EQUIVALENT, 51 ms] (2) QTRS (3) RisEmptyProof [EQUIVALENT, 3 ms] (4) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a(a(a(x1))) -> b(b(x1)) b(b(b(x1))) -> c(d(x1)) c(x1) -> a(a(x1)) d(x1) -> c(x1) Q is empty. ---------------------------------------- (1) QTRSRRRProof (EQUIVALENT) Used ordering: Polynomial interpretation [POLO]: POL(a(x_1)) = 11 + x_1 POL(b(x_1)) = 16 + x_1 POL(c(x_1)) = 23 + x_1 POL(d(x_1)) = 24 + x_1 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: a(a(a(x1))) -> b(b(x1)) b(b(b(x1))) -> c(d(x1)) c(x1) -> a(a(x1)) d(x1) -> c(x1) ---------------------------------------- (2) Obligation: Q restricted rewrite system: R is empty. Q is empty. ---------------------------------------- (3) RisEmptyProof (EQUIVALENT) The TRS R is empty. Hence, termination is trivially proven. ---------------------------------------- (4) YES
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