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SRS Relative pair #487082097
details
property
value
status
complete
benchmark
rel13.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n145.star.cs.uiowa.edu
space
Zantema_06_relative
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
2.7578 seconds
cpu usage
8.12241
user time
7.69847
system time
0.423936
max virtual memory
3.883514E7
max residence set size
1016660.0
stage attributes
key
value
starexec-result
YES
output
YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given RelTRS could be proven: (0) RelTRS (1) RelTRS Reverse [EQUIVALENT, 0 ms] (2) RelTRS (3) RelTRSRRRProof [EQUIVALENT, 22 ms] (4) RelTRS (5) RelTRSRRRProof [EQUIVALENT, 83 ms] (6) RelTRS (7) RelTRSRRRProof [EQUIVALENT, 3 ms] (8) RelTRS (9) RIsEmptyProof [EQUIVALENT, 0 ms] (10) YES ---------------------------------------- (0) Obligation: Relative term rewrite system: The relative TRS consists of the following R rules: o(l(x1)) -> r(x1) n(l(o(x1))) -> r(o(x1)) L(l(o(x1))) -> L(r(o(x1))) r(o(x1)) -> l(x1) o(r(n(x1))) -> o(l(x1)) o(r(R(x1))) -> o(l(R(x1))) The relative TRS consists of the following S rules: L(x1) -> L(n(x1)) R(x1) -> n(R(x1)) ---------------------------------------- (1) RelTRS Reverse (EQUIVALENT) We have reversed the following relative TRS [REVERSE]: The set of rules R is o(l(x1)) -> r(x1) n(l(o(x1))) -> r(o(x1)) L(l(o(x1))) -> L(r(o(x1))) r(o(x1)) -> l(x1) o(r(n(x1))) -> o(l(x1)) o(r(R(x1))) -> o(l(R(x1))) The set of rules S is L(x1) -> L(n(x1)) R(x1) -> n(R(x1)) We have obtained the following relative TRS: The set of rules R is l(o(x1)) -> r(x1) o(l(n(x1))) -> o(r(x1)) o(l(L(x1))) -> o(r(L(x1))) o(r(x1)) -> l(x1) n(r(o(x1))) -> l(o(x1)) R(r(o(x1))) -> R(l(o(x1))) The set of rules S is L(x1) -> n(L(x1)) R(x1) -> R(n(x1)) ---------------------------------------- (2) Obligation: Relative term rewrite system: The relative TRS consists of the following R rules: l(o(x1)) -> r(x1) o(l(n(x1))) -> o(r(x1)) o(l(L(x1))) -> o(r(L(x1))) o(r(x1)) -> l(x1) n(r(o(x1))) -> l(o(x1)) R(r(o(x1))) -> R(l(o(x1))) The relative TRS consists of the following S rules: L(x1) -> n(L(x1)) R(x1) -> R(n(x1)) ---------------------------------------- (3) RelTRSRRRProof (EQUIVALENT) We used the following monotonic ordering for rule removal: Polynomial interpretation [POLO]: POL(L(x_1)) = x_1 POL(R(x_1)) = x_1 POL(l(x_1)) = x_1 POL(n(x_1)) = x_1
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