details

property	value
status	complete
benchmark	212189.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n022.star.cs.uiowa.edu
space	ICFP_2010

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	106.997 seconds
cpu usage	418.485
user time	407.58
system time	10.9052
max virtual memory	4.00366E7
max residence set size	1.3064152E7

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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRS Reverse [EQUIVALENT, 0 ms] (2) QTRS (3) DependencyPairsProof [EQUIVALENT, 178 ms] (4) QDP (5) DependencyGraphProof [EQUIVALENT, 0 ms] (6) QDP (7) QDPOrderProof [EQUIVALENT, 4171 ms] (8) QDP (9) DependencyGraphProof [EQUIVALENT, 0 ms] (10) QDP (11) QDPOrderProof [EQUIVALENT, 4541 ms] (12) QDP (13) QDPOrderProof [EQUIVALENT, 4755 ms] (14) QDP (15) QDPOrderProof [EQUIVALENT, 3907 ms] (16) QDP (17) QDPOrderProof [EQUIVALENT, 3037 ms] (18) QDP (19) QDPOrderProof [EQUIVALENT, 1953 ms] (20) QDP (21) QDPOrderProof [EQUIVALENT, 3713 ms] (22) QDP (23) QDPOrderProof [EQUIVALENT, 2897 ms] (24) QDP (25) DependencyGraphProof [EQUIVALENT, 0 ms] (26) QDP (27) QDPOrderProof [EQUIVALENT, 24 ms] (28) QDP (29) QDPSizeChangeProof [EQUIVALENT, 0 ms] (30) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 0(1(2(x1))) -> 0(3(1(2(x1)))) 0(1(2(x1))) -> 1(0(2(1(x1)))) 0(1(2(x1))) -> 2(1(4(0(x1)))) 0(1(2(x1))) -> 0(2(1(3(3(x1))))) 0(1(2(x1))) -> 0(2(4(1(3(x1))))) 0(1(2(x1))) -> 1(0(2(5(4(x1))))) 0(1(2(x1))) -> 2(1(1(0(3(x1))))) 0(1(2(x1))) -> 2(1(3(4(0(x1))))) 0(1(2(x1))) -> 2(1(4(3(0(x1))))) 0(1(2(x1))) -> 4(0(3(1(2(x1))))) 0(1(2(x1))) -> 4(1(0(3(2(x1))))) 0(1(2(x1))) -> 4(4(2(1(0(x1))))) 0(1(2(x1))) -> 0(0(4(1(2(5(x1)))))) 0(1(2(x1))) -> 0(4(5(1(2(5(x1)))))) 0(1(2(x1))) -> 0(5(2(3(1(4(x1)))))) 0(1(2(x1))) -> 1(0(2(2(3(4(x1)))))) 0(1(2(x1))) -> 1(1(4(0(3(2(x1)))))) 0(1(2(x1))) -> 2(0(0(3(3(1(x1)))))) 0(1(2(x1))) -> 2(0(3(4(1(5(x1)))))) 0(1(2(x1))) -> 2(3(2(0(4(1(x1)))))) 0(1(2(x1))) -> 2(5(3(0(3(1(x1)))))) 0(1(2(x1))) -> 3(2(5(3(1(0(x1)))))) 0(1(2(x1))) -> 3(4(0(5(1(2(x1)))))) 0(1(2(x1))) -> 5(5(4(2(1(0(x1)))))) 0(0(1(2(x1)))) -> 0(0(2(4(1(x1))))) 0(0(1(2(x1)))) -> 0(2(1(5(0(4(x1)))))) 0(0(1(2(x1)))) -> 1(0(2(3(5(0(x1)))))) 0(0(1(2(x1)))) -> 5(1(2(0(4(0(x1)))))) 0(0(5(2(x1)))) -> 5(3(0(3(0(2(x1)))))) 0(1(2(0(x1)))) -> 1(2(4(0(0(x1))))) 0(1(2(0(x1)))) -> 0(4(1(0(0(2(x1)))))) 0(1(2(2(x1)))) -> 3(3(0(2(1(2(x1)))))) 0(1(5(2(x1)))) -> 2(5(1(0(3(x1))))) 0(1(5(2(x1)))) -> 0(5(5(3(1(2(x1)))))) 0(1(5(2(x1)))) -> 1(3(5(0(2(2(x1)))))) 0(5(2(2(x1)))) -> 3(0(2(1(5(2(x1)))))) 1(0(1(2(x1)))) -> 0(4(1(2(1(x1))))) 1(0(1(2(x1)))) -> 1(2(1(3(0(x1))))) 1(0(1(2(x1)))) -> 0(3(1(4(1(2(x1)))))) 1(0(1(2(x1)))) -> 4(1(4(1(0(2(x1)))))) 5(0(1(2(x1)))) -> 0(2(1(3(5(x1))))) 5(0(1(2(x1)))) -> 2(0(3(1(5(x1))))) 5(0(1(2(x1)))) -> 5(3(1(0(3(2(x1)))))) 5(0(1(2(x1)))) -> 5(5(1(0(2(4(x1)))))) 0(1(0(2(2(x1))))) -> 3(0(2(1(0(2(x1)))))) 0(1(2(5(2(x1))))) -> 3(5(1(2(2(0(x1)))))) 0(1(3(0(0(x1))))) -> 0(0(4(1(3(0(x1)))))) 0(1(4(2(2(x1))))) -> 0(2(4(1(5(2(x1)))))) 0(1(4(2(2(x1))))) -> 0(2(4(2(1(1(x1)))))) 1(3(0(1(2(x1))))) -> 1(3(4(1(0(2(x1)))))) Q is empty. popout

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all output return to SRS Standard