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SRS Relative pair #487082692
details
property
value
status
complete
benchmark
5109.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n140.star.cs.uiowa.edu
space
ICFP_2010_relative
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
22.4498 seconds
cpu usage
84.5432
user time
80.5604
system time
3.98279
max virtual memory
2.014552E7
max residence set size
6491020.0
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given RelTRS could be proven: (0) RelTRS (1) FlatCCProof [EQUIVALENT, 67 ms] (2) RelTRS (3) RootLabelingProof [EQUIVALENT, 1373 ms] (4) RelTRS (5) RelTRSRRRProof [EQUIVALENT, 2576 ms] (6) RelTRS (7) SIsEmptyProof [EQUIVALENT, 0 ms] (8) QTRS (9) RFCMatchBoundsTRSProof [EQUIVALENT, 35 ms] (10) YES ---------------------------------------- (0) Obligation: Relative term rewrite system: The relative TRS consists of the following R rules: 0(0(0(1(x1)))) -> 2(3(2(2(4(2(2(4(0(5(x1)))))))))) 1(0(5(0(x1)))) -> 1(2(2(4(4(4(2(2(1(1(x1)))))))))) 0(3(0(1(4(x1))))) -> 2(2(4(2(4(0(5(5(1(4(x1)))))))))) 0(4(0(1(0(x1))))) -> 2(0(5(1(1(1(1(3(3(5(x1)))))))))) 0(5(0(0(1(x1))))) -> 0(5(1(1(1(4(4(3(1(5(x1)))))))))) 0(0(3(4(5(2(x1)))))) -> 2(3(4(2(4(1(4(2(1(1(x1)))))))))) 0(0(3(5(2(5(x1)))))) -> 2(4(1(1(2(2(5(2(3(5(x1)))))))))) 0(0(4(5(1(0(x1)))))) -> 3(1(4(4(3(1(2(4(1(1(x1)))))))))) 0(0(4(5(1(4(x1)))))) -> 3(4(2(4(1(4(2(0(5(4(x1)))))))))) 0(1(4(5(5(3(x1)))))) -> 2(2(4(4(4(5(0(3(2(4(x1)))))))))) 0(3(0(0(2(5(x1)))))) -> 2(4(0(3(2(4(2(5(2(5(x1)))))))))) 0(4(0(0(2(2(x1)))))) -> 2(2(4(0(3(2(3(0(2(2(x1)))))))))) 0(4(3(1(0(2(x1)))))) -> 2(2(2(4(1(1(0(3(5(2(x1)))))))))) 0(5(0(0(3(4(x1)))))) -> 2(4(2(0(1(4(5(2(2(4(x1)))))))))) 0(5(0(3(4(1(x1)))))) -> 2(4(3(2(1(4(3(1(3(1(x1)))))))))) 1(5(0(0(0(2(x1)))))) -> 1(1(1(5(5(1(5(2(2(4(x1)))))))))) 1(5(5(0(4(1(x1)))))) -> 1(1(4(4(2(4(3(3(2(1(x1)))))))))) 2(1(0(4(5(4(x1)))))) -> 2(2(4(2(1(0(2(3(3(4(x1)))))))))) 4(1(0(0(5(0(x1)))))) -> 4(1(5(1(4(4(1(1(5(1(x1)))))))))) 4(5(0(3(2(2(x1)))))) -> 4(2(2(4(2(5(2(2(4(2(x1)))))))))) 5(0(0(0(4(5(x1)))))) -> 5(0(5(4(1(1(4(4(3(5(x1)))))))))) 5(0(3(5(0(0(x1)))))) -> 5(2(2(3(1(5(1(1(5(5(x1)))))))))) 5(0(4(0(5(0(x1)))))) -> 0(5(4(4(4(2(4(4(2(0(x1)))))))))) 5(0(4(5(4(4(x1)))))) -> 2(1(5(2(4(4(4(1(4(2(x1)))))))))) 5(1(3(5(5(0(x1)))))) -> 5(2(3(2(1(5(4(4(4(1(x1)))))))))) 5(2(5(0(1(2(x1)))))) -> 5(2(4(2(4(0(1(5(2(4(x1)))))))))) 0(0(0(3(4(0(5(x1))))))) -> 0(1(5(4(1(1(5(1(1(5(x1)))))))))) 0(0(3(4(5(0(4(x1))))))) -> 3(2(1(1(5(4(5(3(5(3(x1)))))))))) 0(1(0(3(0(5(3(x1))))))) -> 2(2(0(2(1(4(3(5(5(3(x1)))))))))) 0(1(3(1(3(4(2(x1))))))) -> 5(4(4(2(1(1(1(1(5(4(x1)))))))))) 0(2(5(0(3(0(5(x1))))))) -> 2(4(5(2(4(0(0(1(1(5(x1)))))))))) 0(3(2(0(4(0(1(x1))))))) -> 3(2(0(0(4(2(4(1(3(1(x1)))))))))) 0(3(5(2(0(0(3(x1))))))) -> 2(0(2(3(3(4(3(4(2(3(x1)))))))))) 0(5(3(0(4(0(2(x1))))))) -> 2(2(1(0(5(1(3(2(1(4(x1)))))))))) 0(5(3(2(2(5(0(x1))))))) -> 2(3(2(1(2(2(4(1(5(1(x1)))))))))) 1(0(0(1(0(4(0(x1))))))) -> 1(4(1(3(2(2(1(5(4(5(x1)))))))))) 1(0(0(4(1(1(2(x1))))))) -> 2(2(4(0(2(0(5(4(1(2(x1)))))))))) 1(0(1(1(1(0(4(x1))))))) -> 1(4(1(1(4(0(3(3(0(2(x1)))))))))) 1(0(1(4(5(0(5(x1))))))) -> 4(1(1(1(1(4(1(0(1(5(x1)))))))))) 1(0(4(5(4(5(0(x1))))))) -> 2(2(1(2(0(2(5(3(1(1(x1)))))))))) 1(3(5(4(1(3(3(x1))))))) -> 1(4(4(2(0(1(1(5(3(3(x1)))))))))) 1(5(0(0(3(0(5(x1))))))) -> 1(1(4(1(5(0(5(5(1(5(x1)))))))))) 2(5(1(3(3(0(1(x1))))))) -> 2(1(3(4(3(2(4(5(5(5(x1)))))))))) 4(0(0(1(0(3(4(x1))))))) -> 4(3(2(3(3(1(5(5(2(0(x1)))))))))) 5(0(0(0(0(0(4(x1))))))) -> 2(4(2(1(3(1(1(2(3(2(x1)))))))))) 5(0(0(1(2(5(2(x1))))))) -> 5(2(0(2(2(1(5(4(5(2(x1)))))))))) 5(0(0(3(1(0(4(x1))))))) -> 3(1(2(4(3(4(3(4(2(1(x1)))))))))) 5(0(5(1(0(3(4(x1))))))) -> 5(5(4(1(2(2(2(4(1(5(x1)))))))))) 5(1(0(0(4(3(4(x1))))))) -> 5(4(3(2(3(2(2(5(4(4(x1)))))))))) 5(1(3(0(4(0(0(x1))))))) -> 5(1(4(1(4(5(2(2(3(5(x1)))))))))) 5(2(0(1(0(4(2(x1))))))) -> 2(5(1(1(4(1(1(4(1(2(x1)))))))))) The relative TRS consists of the following S rules: 0(1(0(4(4(1(x1)))))) -> 2(2(0(2(4(5(5(4(3(1(x1)))))))))) 0(1(0(5(3(4(x1)))))) -> 0(1(3(3(2(4(1(3(2(4(x1)))))))))) 1(3(5(2(0(4(x1)))))) -> 1(5(2(2(4(2(2(1(5(2(x1)))))))))) 2(0(3(0(1(2(x1)))))) -> 2(2(1(5(2(4(2(1(0(2(x1)))))))))) 4(0(4(0(3(4(x1)))))) -> 4(2(1(4(2(2(4(5(3(2(x1)))))))))) 0(1(0(0(5(0(4(x1))))))) -> 2(0(5(2(3(0(3(2(5(2(x1)))))))))) 0(5(2(5(0(0(2(x1))))))) -> 0(3(1(5(1(5(4(4(5(2(x1)))))))))) 4(0(0(5(2(1(4(x1))))))) -> 4(2(5(2(3(2(2(4(1(4(x1)))))))))) 5(3(4(5(4(5(4(x1))))))) -> 4(4(2(4(4(0(3(1(3(4(x1)))))))))) ---------------------------------------- (1) FlatCCProof (EQUIVALENT) We used flat context closure [ROOTLAB] ---------------------------------------- (2)
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