details

property	value
status	complete
benchmark	214183.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n071.star.cs.uiowa.edu
space	ICFP_2010

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	12.4353 seconds
cpu usage	45.2235
user time	43.968
system time	1.25551
max virtual memory	3.8991996E7
max residence set size	4203516.0

stage attributes

key	value
starexec-result	YES

output

44.42/12.21 YES 44.79/12.28 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 44.79/12.28 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 44.79/12.28 44.79/12.28 44.79/12.28 Termination w.r.t. Q of the given QTRS could be proven: 44.79/12.28 44.79/12.28 (0) QTRS 44.79/12.28 (1) QTRS Reverse [EQUIVALENT, 0 ms] 44.79/12.28 (2) QTRS 44.79/12.28 (3) DependencyPairsProof [EQUIVALENT, 220 ms] 44.79/12.28 (4) QDP 44.79/12.28 (5) DependencyGraphProof [EQUIVALENT, 1 ms] 44.79/12.28 (6) QDP 44.79/12.28 (7) QDPOrderProof [EQUIVALENT, 278 ms] 44.79/12.28 (8) QDP 44.79/12.28 (9) DependencyGraphProof [EQUIVALENT, 0 ms] 44.79/12.28 (10) QDP 44.79/12.28 (11) QDPOrderProof [EQUIVALENT, 56 ms] 44.79/12.28 (12) QDP 44.79/12.28 (13) PisEmptyProof [EQUIVALENT, 0 ms] 44.79/12.28 (14) YES 44.79/12.28 44.79/12.28 44.79/12.28 ---------------------------------------- 44.79/12.28 44.79/12.28 (0) 44.79/12.28 Obligation: 44.79/12.28 Q restricted rewrite system: 44.79/12.28 The TRS R consists of the following rules: 44.79/12.28 44.79/12.28 0(0(1(2(x1)))) -> 2(3(1(0(0(x1))))) 44.79/12.28 0(0(1(2(x1)))) -> 3(1(0(0(2(x1))))) 44.79/12.28 0(0(1(2(x1)))) -> 0(0(2(3(1(1(x1)))))) 44.79/12.28 0(1(0(4(x1)))) -> 3(1(4(0(0(x1))))) 44.79/12.28 0(1(0(4(x1)))) -> 3(4(0(0(3(1(x1)))))) 44.79/12.28 0(1(0(4(x1)))) -> 4(3(1(0(5(0(x1)))))) 44.79/12.28 0(1(0(4(x1)))) -> 5(0(4(3(1(0(x1)))))) 44.79/12.28 0(1(0(5(x1)))) -> 3(5(3(1(0(0(x1)))))) 44.79/12.28 0(1(0(5(x1)))) -> 5(3(1(0(0(2(x1)))))) 44.79/12.28 0(1(4(2(x1)))) -> 2(3(1(4(0(x1))))) 44.79/12.28 0(1(4(2(x1)))) -> 4(0(3(1(2(4(x1)))))) 44.79/12.28 0(1(4(2(x1)))) -> 4(3(1(1(0(2(x1)))))) 44.79/12.28 0(5(0(4(x1)))) -> 4(0(0(3(5(x1))))) 44.79/12.28 0(5(0(4(x1)))) -> 5(0(0(3(4(x1))))) 44.79/12.28 0(5(0(5(x1)))) -> 3(5(2(0(0(5(x1)))))) 44.79/12.28 0(5(0(5(x1)))) -> 5(3(5(4(0(0(x1)))))) 44.79/12.28 0(5(0(5(x1)))) -> 5(5(3(4(0(0(x1)))))) 44.79/12.28 2(0(1(2(x1)))) -> 0(2(4(1(2(x1))))) 44.79/12.28 2(0(1(2(x1)))) -> 2(5(0(2(2(1(x1)))))) 44.79/12.28 2(0(1(2(x1)))) -> 3(1(3(2(2(0(x1)))))) 44.79/12.28 2(0(4(2(x1)))) -> 4(0(2(2(1(x1))))) 44.79/12.28 2(0(4(2(x1)))) -> 4(0(2(1(2(1(x1)))))) 44.79/12.28 2(0(5(2(x1)))) -> 0(2(1(5(2(2(x1)))))) 44.79/12.28 3(0(4(2(x1)))) -> 0(3(4(1(1(2(x1)))))) 44.79/12.28 3(0(4(2(x1)))) -> 4(3(3(1(0(2(x1)))))) 44.79/12.28 0(0(1(2(2(x1))))) -> 0(0(2(1(2(1(x1)))))) 44.79/12.28 0(0(1(3(2(x1))))) -> 0(3(1(2(0(4(x1)))))) 44.79/12.28 0(0(1(3(2(x1))))) -> 2(5(0(3(1(0(x1)))))) 44.79/12.28 0(0(5(2(2(x1))))) -> 0(0(2(5(2(1(x1)))))) 44.79/12.28 0(1(0(5(2(x1))))) -> 0(2(1(0(3(5(x1)))))) 44.79/12.28 0(1(0(5(5(x1))))) -> 1(3(5(0(0(5(x1)))))) 44.79/12.28 0(1(2(0(5(x1))))) -> 4(0(5(2(1(0(x1)))))) 44.79/12.28 0(1(3(0(4(x1))))) -> 1(0(3(4(4(0(x1)))))) 44.79/12.28 0(1(3(4(2(x1))))) -> 4(2(1(0(3(4(x1)))))) 44.79/12.28 0(1(4(2(2(x1))))) -> 1(1(0(2(4(2(x1)))))) 44.79/12.28 0(1(4(2(4(x1))))) -> 4(0(2(3(1(4(x1)))))) 44.79/12.28 0(1(4(3(2(x1))))) -> 3(1(2(0(4(4(x1)))))) 44.79/12.28 0(3(0(0(5(x1))))) -> 5(3(1(0(0(0(x1)))))) 44.79/12.28 0(4(1(0(4(x1))))) -> 4(0(2(1(4(0(x1)))))) 44.79/12.28 0(4(3(2(2(x1))))) -> 4(2(0(3(5(2(x1)))))) 44.79/12.28 0(5(1(0(4(x1))))) -> 5(2(4(1(0(0(x1)))))) 44.79/12.28 0(5(1(4(2(x1))))) -> 4(0(3(5(1(2(x1)))))) 44.79/12.28 2(1(0(1(2(x1))))) -> 2(1(1(0(2(3(x1)))))) 44.79/12.28 2(4(0(5(2(x1))))) -> 0(4(2(3(5(2(x1)))))) 44.79/12.28 3(0(0(1(2(x1))))) -> 0(3(5(1(0(2(x1)))))) 44.79/12.28 3(0(0(5(2(x1))))) -> 2(0(0(3(5(1(x1)))))) 44.79/12.28 3(0(5(4(2(x1))))) -> 4(0(3(5(2(1(x1)))))) 44.79/12.28 3(2(0(1(2(x1))))) -> 2(1(3(1(0(2(x1)))))) 44.79/12.28 3(2(0(5(2(x1))))) -> 2(0(2(3(4(5(x1)))))) 44.79/12.28 3(2(0(5(2(x1))))) -> 5(3(0(2(2(2(x1)))))) 44.79/12.28 44.79/12.28 Q is empty. 44.79/12.28 44.79/12.28 ---------------------------------------- 44.79/12.28 44.79/12.28 (1) QTRS Reverse (EQUIVALENT) 44.79/12.28 We applied the QTRS Reverse Processor [REVERSE]. 44.79/12.28 ---------------------------------------- 44.79/12.28 44.79/12.28 (2) 44.79/12.28 Obligation: 44.79/12.28 Q restricted rewrite system: 44.79/12.28 The TRS R consists of the following rules: 44.79/12.28 44.79/12.28 2(1(0(0(x1)))) -> 0(0(1(3(2(x1))))) 44.79/12.28 2(1(0(0(x1)))) -> 2(0(0(1(3(x1))))) 44.79/12.28 2(1(0(0(x1)))) -> 1(1(3(2(0(0(x1)))))) 44.79/12.28 4(0(1(0(x1)))) -> 0(0(4(1(3(x1))))) 44.79/12.28 4(0(1(0(x1)))) -> 1(3(0(0(4(3(x1)))))) popout

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all output return to SRS_Standard 2019-03-29 03.29