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SRS Standard pair #487086316
details
property
value
status
complete
benchmark
213437.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n142.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
15.7453 seconds
cpu usage
59.0158
user time
56.8973
system time
2.11854
max virtual memory
4.1957564E7
max residence set size
4773168.0
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRS Reverse [EQUIVALENT, 0 ms] (2) QTRS (3) DependencyPairsProof [EQUIVALENT, 210 ms] (4) QDP (5) DependencyGraphProof [EQUIVALENT, 0 ms] (6) QDP (7) QDPOrderProof [EQUIVALENT, 228 ms] (8) QDP (9) QDPOrderProof [EQUIVALENT, 130 ms] (10) QDP (11) DependencyGraphProof [EQUIVALENT, 0 ms] (12) AND (13) QDP (14) QDPOrderProof [EQUIVALENT, 890 ms] (15) QDP (16) DependencyGraphProof [EQUIVALENT, 0 ms] (17) AND (18) QDP (19) UsableRulesProof [EQUIVALENT, 0 ms] (20) QDP (21) QDPSizeChangeProof [EQUIVALENT, 0 ms] (22) YES (23) QDP (24) QDPSizeChangeProof [EQUIVALENT, 0 ms] (25) YES (26) QDP (27) QDPOrderProof [EQUIVALENT, 108 ms] (28) QDP (29) PisEmptyProof [EQUIVALENT, 0 ms] (30) YES (31) QDP (32) QDPOrderProof [EQUIVALENT, 0 ms] (33) QDP (34) PisEmptyProof [EQUIVALENT, 0 ms] (35) YES (36) QDP (37) UsableRulesProof [EQUIVALENT, 0 ms] (38) QDP (39) QDPSizeChangeProof [EQUIVALENT, 0 ms] (40) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 0(0(0(x1))) -> 0(0(1(0(2(x1))))) 0(3(2(x1))) -> 4(3(0(2(x1)))) 0(0(4(2(x1)))) -> 0(4(1(0(2(x1))))) 0(0(5(2(x1)))) -> 5(0(2(3(0(x1))))) 0(1(3(2(x1)))) -> 0(3(1(0(2(x1))))) 0(1(3(2(x1)))) -> 3(1(1(0(2(x1))))) 0(1(3(2(x1)))) -> 0(1(4(3(1(2(x1)))))) 0(4(1(3(x1)))) -> 1(4(3(0(2(2(x1)))))) 0(4(2(3(x1)))) -> 5(4(3(0(2(x1))))) 0(4(5(2(x1)))) -> 5(0(2(2(4(2(x1)))))) 0(5(1(3(x1)))) -> 3(0(1(5(1(2(x1)))))) 0(5(3(0(x1)))) -> 5(0(1(4(3(0(x1)))))) 0(5(3(2(x1)))) -> 5(1(5(0(2(3(x1)))))) 4(0(2(3(x1)))) -> 3(4(3(0(2(x1))))) 4(0(2(3(x1)))) -> 4(3(5(0(2(x1))))) 4(4(1(3(x1)))) -> 4(3(4(1(2(2(x1)))))) 4(5(2(0(x1)))) -> 4(2(1(5(0(2(x1)))))) 4(5(2(0(x1)))) -> 5(1(0(2(2(4(x1)))))) 5(1(0(0(x1)))) -> 5(1(0(2(0(x1))))) 5(1(0(0(x1)))) -> 5(2(1(0(2(0(x1)))))) 5(1(3(0(x1)))) -> 5(0(2(1(3(x1))))) 5(1(3(2(x1)))) -> 3(0(1(5(1(2(x1)))))) 5(1(3(2(x1)))) -> 3(1(1(5(2(2(x1)))))) 5(3(0(0(x1)))) -> 5(0(4(3(0(2(x1)))))) 0(0(4(1(3(x1))))) -> 4(0(1(0(2(3(x1)))))) 0(0(4(5(2(x1))))) -> 5(0(1(0(2(4(x1)))))) 0(0(5(3(2(x1))))) -> 0(1(5(0(2(3(x1)))))) 0(1(0(5(2(x1))))) -> 1(0(2(5(1(0(x1)))))) 0(1(4(5(2(x1))))) -> 2(1(5(0(2(4(x1)))))) 0(3(1(4(0(x1))))) -> 4(1(0(1(0(3(x1)))))) 0(3(2(0(0(x1))))) -> 0(0(1(0(2(3(x1)))))) 0(3(4(0(2(x1))))) -> 4(3(0(2(1(0(x1)))))) 0(3(4(0(2(x1))))) -> 4(3(0(2(3(0(x1)))))) 0(3(4(4(2(x1))))) -> 4(0(3(4(2(2(x1)))))) 0(4(2(5(3(x1))))) -> 0(4(3(5(1(2(x1)))))) 0(5(1(2(0(x1))))) -> 3(0(1(5(0(2(x1)))))) 4(4(2(2(0(x1))))) -> 4(1(0(2(2(4(x1)))))) 4(5(1(2(0(x1))))) -> 5(0(4(1(2(2(x1)))))) 4(5(2(3(2(x1))))) -> 5(4(3(5(2(2(x1)))))) 5(1(0(3(2(x1))))) -> 5(0(3(1(0(2(x1)))))) 5(1(0(5(3(x1))))) -> 5(5(0(1(3(1(x1)))))) 5(1(3(0(0(x1))))) -> 3(5(0(1(2(0(x1)))))) 5(1(3(0(2(x1))))) -> 3(0(2(1(5(2(x1))))))
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