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TRS Standard pair #516968155
details
property
value
status
complete
benchmark
t000.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
HirokawaMiddeldorp_04
run statistics
property
value
solver
AProVE21
configuration
standard
runtime (wallclock)
2.53635907173 seconds
cpu usage
6.048097279
max memory
4.76811264E8
stage attributes
key
value
output-size
5422
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# AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRSRRRProof [EQUIVALENT, 50 ms] (2) QTRS (3) RisEmptyProof [EQUIVALENT, 0 ms] (4) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: +(0, 0) -> 0 +(0, 1) -> 1 +(0, 2) -> 2 +(0, 3) -> 3 +(0, 4) -> 4 +(0, 5) -> 5 +(0, 6) -> 6 +(0, 7) -> 7 +(0, 8) -> 8 +(0, 9) -> 9 +(1, 0) -> 1 +(1, 1) -> 2 +(1, 2) -> 3 +(1, 3) -> 4 +(1, 4) -> 5 +(1, 5) -> 6 +(1, 6) -> 7 +(1, 7) -> 8 +(1, 8) -> 9 +(1, 9) -> c(1, 0) +(2, 0) -> 2 +(2, 1) -> 3 +(2, 2) -> 4 +(2, 3) -> 5 +(2, 4) -> 6 +(2, 5) -> 7 +(2, 6) -> 8 +(2, 7) -> 9 +(2, 8) -> c(1, 0) +(2, 9) -> c(1, 1) +(3, 0) -> 3 +(3, 1) -> 4 +(3, 2) -> 5 +(3, 3) -> 6 +(3, 4) -> 7 +(3, 5) -> 8 +(3, 6) -> 9 +(3, 7) -> c(1, 0) +(3, 8) -> c(1, 1) +(3, 9) -> c(1, 2) +(4, 0) -> 4 +(4, 1) -> 5 +(4, 2) -> 6 +(4, 3) -> 7 +(4, 4) -> 8 +(4, 5) -> 9 +(4, 6) -> c(1, 0) +(4, 7) -> c(1, 1) +(4, 8) -> c(1, 2) +(4, 9) -> c(1, 3) +(5, 0) -> 5 +(5, 1) -> 6 +(5, 2) -> 7 +(5, 3) -> 8 +(5, 4) -> 9 +(5, 5) -> c(1, 0) +(5, 6) -> c(1, 1) +(5, 7) -> c(1, 2) +(5, 8) -> c(1, 3) +(5, 9) -> c(1, 4) +(6, 0) -> 6 +(6, 1) -> 7 +(6, 2) -> 8 +(6, 3) -> 9 +(6, 4) -> c(1, 0) +(6, 5) -> c(1, 1) +(6, 6) -> c(1, 2) +(6, 7) -> c(1, 3) +(6, 8) -> c(1, 4) +(6, 9) -> c(1, 5) +(7, 0) -> 7 +(7, 1) -> 8 +(7, 2) -> 9
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