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SRS Relat 19260 pair #381725102
details
property
value
status
complete
benchmark
zr07.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n057.star.cs.uiowa.edu
space
Mixed_relative_SRS
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
3.05670285225 seconds
cpu usage
9.266171974
max memory
1.045041152E9
stage attributes
key
value
output-size
2697
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination of the given RelTRS could be proven: (0) RelTRS (1) RelTRSRRRProof [EQUIVALENT, 182 ms] (2) RelTRS (3) RelTRSRRRProof [EQUIVALENT, 10 ms] (4)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(c(b(x1))) -> b(a(b(a(x1)))) a(a(x1)) -> a(b(a(x1))) The relative TRS consists of the following S rules: b(x1) -> b(c(x1)) ---------------------------------------- (1) RelTRSRRRProof (EQUIVALENT) We used the following monotonic ordering for rule removal: Matrix interpretation [MATRO] to (N^3, +, *, >=, >) : <<< POL(a(x_1)) = [[0], [0], [0]] + [[1, 0, 1], [0, 0, 1], [0, 0, 0]] * x_1 >>> <<< POL(c(x_1)) = [[0], [0], [0]] + [[1, 0, 0], [0, 0, 0], [0, 1, 0]] * x_1 >>> <<< POL(b(x_1)) = [[0], [2], [0]] + [[1, 0, 0], [0, 2, 1], [0, 0, 0]] * x_1 >>> With this ordering the following rules can be removed [MATRO] because they are oriented strictly: Rules from R: a(c(b(x1))) -> b(a(b(a(x1)))) Rules from S: none ---------------------------------------- (2) Obligation: Relative term rewrite system: The relative TRS consists of the following R rules: a(a(x1)) -> a(b(a(x1))) The relative TRS consists of the following S rules: b(x1) -> b(c(x1)) ---------------------------------------- (3) RelTRSRRRProof (EQUIVALENT) We used the following monotonic ordering for rule removal: Matrix interpretation [MATRO] to (N^2, +, *, >=, >) : <<< POL(a(x_1)) = [[0], [2]] + [[1, 2], [0, 2]] * x_1 >>> <<< POL(b(x_1)) = [[0], [0]] + [[1, 0], [0, 0]] * x_1 >>> <<< POL(c(x_1)) = [[0], [0]] + [[1, 0], [0, 0]] * x_1 >>> With this ordering the following rules can be removed [MATRO] because they are oriented strictly: Rules from R:
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