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SRS Relative pair #487082662
details
property
value
status
complete
benchmark
4036.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n151.star.cs.uiowa.edu
space
ICFP_2010_relative
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
51.1849 seconds
cpu usage
199.091
user time
191.631
system time
7.45909
max virtual memory
3.9479396E7
max residence set size
9271200.0
stage attributes
key
value
starexec-result
YES
output
YES proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given RelTRS could be proven: (0) RelTRS (1) FlatCCProof [EQUIVALENT, 236 ms] (2) RelTRS (3) RootLabelingProof [EQUIVALENT, 4128 ms] (4) RelTRS (5) RelTRSRRRProof [EQUIVALENT, 1406 ms] (6) RelTRS (7) RelTRSRRRProof [EQUIVALENT, 87 ms] (8) RelTRS (9) RelTRSRRRProof [EQUIVALENT, 17 ms] (10) RelTRS (11) SIsEmptyProof [EQUIVALENT, 0 ms] (12) QTRS (13) RFCMatchBoundsTRSProof [EQUIVALENT, 12 ms] (14) YES ---------------------------------------- (0) Obligation: Relative term rewrite system: The relative TRS consists of the following R rules: 0(1(0(1(x1)))) -> 0(1(1(1(0(0(1(2(2(2(x1)))))))))) 0(3(4(4(x1)))) -> 0(0(0(3(1(1(4(2(2(0(x1)))))))))) 1(5(1(5(4(x1))))) -> 1(0(0(2(2(0(5(2(2(4(x1)))))))))) 3(4(5(3(4(x1))))) -> 3(5(0(2(1(1(1(2(1(4(x1)))))))))) 4(3(4(3(4(x1))))) -> 2(1(1(1(4(1(2(4(2(0(x1)))))))))) 5(0(1(0(1(x1))))) -> 5(0(2(0(1(1(4(2(1(2(x1)))))))))) 1(0(1(0(1(4(x1)))))) -> 1(0(2(4(5(4(2(4(2(4(x1)))))))))) 1(1(3(4(1(5(x1)))))) -> 1(1(0(0(2(2(5(2(0(0(x1)))))))))) 1(3(1(1(3(3(x1)))))) -> 1(2(4(2(0(2(1(0(2(5(x1)))))))))) 1(3(1(5(2(3(x1)))))) -> 1(4(3(2(1(0(0(2(4(3(x1)))))))))) 1(5(0(5(5(3(x1)))))) -> 2(1(1(1(1(2(1(3(5(3(x1)))))))))) 2(1(3(1(5(5(x1)))))) -> 1(1(2(2(0(5(0(0(2(2(x1)))))))))) 2(2(4(3(4(5(x1)))))) -> 2(0(1(4(0(0(2(0(0(0(x1)))))))))) 2(3(1(0(3(4(x1)))))) -> 0(0(1(1(5(2(4(1(1(4(x1)))))))))) 2(3(3(4(1(5(x1)))))) -> 0(0(2(4(4(2(0(4(1(3(x1)))))))))) 2(5(0(5(5(1(x1)))))) -> 3(0(1(4(4(0(0(0(0(1(x1)))))))))) 3(0(4(3(3(4(x1)))))) -> 2(3(0(3(5(1(2(4(2(4(x1)))))))))) 3(2(3(3(0(4(x1)))))) -> 5(4(2(2(0(0(4(2(4(4(x1)))))))))) 3(3(5(4(3(4(x1)))))) -> 0(5(1(1(0(4(0(2(4(4(x1)))))))))) 3(5(4(2(1(0(x1)))))) -> 2(5(0(0(0(0(0(4(4(0(x1)))))))))) 4(1(3(4(3(1(x1)))))) -> 4(2(5(0(1(0(0(0(4(4(x1)))))))))) 4(2(1(0(2(5(x1)))))) -> 4(2(5(4(2(2(2(4(2(5(x1)))))))))) 4(3(3(5(1(1(x1)))))) -> 4(4(2(4(4(2(5(0(1(2(x1)))))))))) 5(4(0(1(3(0(x1)))))) -> 0(2(4(2(2(1(2(0(0(0(x1)))))))))) 0(4(1(5(5(3(5(x1))))))) -> 0(2(2(0(1(2(5(2(5(0(x1)))))))))) 0(4(4(3(4(1(3(x1))))))) -> 0(4(2(4(1(3(2(0(2(2(x1)))))))))) 1(3(3(4(5(2(5(x1))))))) -> 1(1(1(4(5(1(2(5(2(4(x1)))))))))) 1(5(2(5(1(5(2(x1))))))) -> 1(2(3(0(2(3(0(1(0(2(x1)))))))))) 1(5(3(2(4(5(4(x1))))))) -> 1(1(0(3(0(0(0(0(3(4(x1)))))))))) 1(5(5(5(3(2(1(x1))))))) -> 1(4(1(4(2(1(3(0(1(1(x1)))))))))) 2(1(2(3(1(3(3(x1))))))) -> 2(1(4(1(5(1(1(1(1(1(x1)))))))))) 3(0(2(1(3(2(1(x1))))))) -> 1(2(0(0(3(3(4(2(2(1(x1)))))))))) 3(0(4(4(3(4(5(x1))))))) -> 1(2(2(4(3(2(2(2(0(4(x1)))))))))) 3(1(3(1(5(4(1(x1))))))) -> 0(1(2(2(5(5(5(4(2(0(x1)))))))))) 3(2(5(2(1(3(4(x1))))))) -> 0(2(1(3(1(2(1(4(2(2(x1)))))))))) 3(3(1(3(1(3(3(x1))))))) -> 1(2(1(3(0(5(5(1(2(1(x1)))))))))) 3(3(1(5(0(3(4(x1))))))) -> 2(0(0(5(1(2(1(4(1(4(x1)))))))))) 3(3(3(5(2(4(5(x1))))))) -> 3(1(0(0(1(4(2(2(0(5(x1)))))))))) 3(4(3(3(4(3(5(x1))))))) -> 5(1(1(1(1(1(4(2(3(3(x1)))))))))) 3(4(3(4(4(3(2(x1))))))) -> 2(5(4(5(3(4(2(4(4(0(x1)))))))))) 4(1(3(4(1(0(2(x1))))))) -> 4(4(1(5(1(2(1(4(2(2(x1)))))))))) 4(5(0(4(1(3(1(x1))))))) -> 1(1(1(2(0(0(4(4(5(1(x1)))))))))) 4(5(0(5(3(2(1(x1))))))) -> 1(1(4(1(3(0(2(4(2(1(x1)))))))))) 4(5(0(5(3(4(5(x1))))))) -> 1(1(1(0(5(4(0(2(4(5(x1)))))))))) 4(5(3(1(4(4(3(x1))))))) -> 4(5(5(5(4(2(4(4(2(3(x1)))))))))) 4(5(3(4(1(4(5(x1))))))) -> 4(5(4(0(2(0(1(2(1(0(x1)))))))))) 4(5(4(3(4(1(0(x1))))))) -> 1(4(1(1(2(4(0(1(2(0(x1)))))))))) 5(3(2(1(5(3(4(x1))))))) -> 5(1(2(1(3(3(5(1(2(4(x1)))))))))) 5(3(4(3(1(3(3(x1))))))) -> 5(1(1(4(2(4(3(3(4(3(x1)))))))))) 5(3(4(4(3(1(2(x1))))))) -> 5(1(0(5(0(3(5(1(1(1(x1)))))))))) 5(4(3(2(3(1(3(x1))))))) -> 0(0(0(2(3(0(2(5(4(3(x1)))))))))) 5(4(3(4(3(1(5(x1))))))) -> 0(2(0(0(0(0(4(1(5(0(x1)))))))))) 5(5(3(3(3(5(4(x1))))))) -> 0(3(5(2(2(1(0(4(2(2(x1)))))))))) 5(5(4(5(3(5(5(x1))))))) -> 5(2(4(2(2(2(4(1(5(2(x1)))))))))) The relative TRS consists of the following S rules: 0(4(3(4(3(1(x1)))))) -> 2(5(0(3(0(2(2(4(0(0(x1)))))))))) 2(3(2(5(5(3(x1)))))) -> 0(0(2(3(1(2(2(1(0(4(x1)))))))))) 5(0(1(5(1(5(x1)))))) -> 5(0(1(4(0(1(1(0(0(2(x1)))))))))) 1(3(1(3(5(4(1(x1))))))) -> 1(0(4(0(0(5(1(0(5(4(x1)))))))))) 3(3(2(4(5(1(2(x1))))))) -> 5(1(1(5(1(4(1(2(2(2(x1)))))))))) 4(4(5(3(1(1(0(x1))))))) -> 4(0(5(0(1(2(2(2(0(2(x1)))))))))) ---------------------------------------- (1) FlatCCProof (EQUIVALENT) We used flat context closure [ROOTLAB]
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