details

property	value
status	complete
benchmark	212263.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n149.star.cs.uiowa.edu
space	ICFP_2010

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	5.10502 seconds
cpu usage	16.8205
user time	16.2691
system time	0.551355
max virtual memory	1.9824876E7
max residence set size	1605240.0

stage attributes

key	value
starexec-result	YES

output

16.43/5.02 YES 16.75/5.05 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 16.75/5.05 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 16.75/5.05 16.75/5.05 16.75/5.05 Termination w.r.t. Q of the given QTRS could be proven: 16.75/5.05 16.75/5.05 (0) QTRS 16.75/5.05 (1) QTRS Reverse [EQUIVALENT, 0 ms] 16.75/5.05 (2) QTRS 16.75/5.05 (3) DependencyPairsProof [EQUIVALENT, 130 ms] 16.75/5.05 (4) QDP 16.75/5.05 (5) DependencyGraphProof [EQUIVALENT, 0 ms] 16.75/5.05 (6) QDP 16.75/5.05 (7) UsableRulesProof [EQUIVALENT, 2 ms] 16.75/5.05 (8) QDP 16.75/5.05 (9) QDPOrderProof [EQUIVALENT, 55 ms] 16.75/5.05 (10) QDP 16.75/5.05 (11) PisEmptyProof [EQUIVALENT, 0 ms] 16.75/5.05 (12) YES 16.75/5.05 16.75/5.05 16.75/5.05 ---------------------------------------- 16.75/5.05 16.75/5.05 (0) 16.75/5.05 Obligation: 16.75/5.05 Q restricted rewrite system: 16.75/5.05 The TRS R consists of the following rules: 16.75/5.05 16.75/5.05 0(1(2(x1))) -> 0(2(1(1(x1)))) 16.75/5.05 0(1(2(x1))) -> 0(2(1(3(x1)))) 16.75/5.05 0(1(2(x1))) -> 0(2(1(1(3(x1))))) 16.75/5.05 0(1(2(x1))) -> 0(2(4(1(1(x1))))) 16.75/5.05 0(1(2(x1))) -> 0(2(4(1(3(x1))))) 16.75/5.05 0(3(2(x1))) -> 0(2(1(3(x1)))) 16.75/5.05 0(3(2(x1))) -> 0(2(1(1(3(x1))))) 16.75/5.05 0(3(2(x1))) -> 0(0(2(1(1(3(x1)))))) 16.75/5.05 0(1(1(2(x1)))) -> 0(2(1(1(3(x1))))) 16.75/5.05 0(1(2(2(x1)))) -> 0(2(2(1(1(x1))))) 16.75/5.05 0(1(2(2(x1)))) -> 0(2(3(2(1(x1))))) 16.75/5.05 0(1(3(2(x1)))) -> 0(2(1(4(3(x1))))) 16.75/5.05 0(1(3(2(x1)))) -> 3(3(0(2(1(x1))))) 16.75/5.05 0(1(3(2(x1)))) -> 3(0(2(4(1(1(x1)))))) 16.75/5.05 0(1(5(2(x1)))) -> 5(0(2(1(1(x1))))) 16.75/5.05 0(3(2(2(x1)))) -> 0(0(2(3(2(x1))))) 16.75/5.05 0(3(2(2(x1)))) -> 0(0(4(2(3(2(x1)))))) 16.75/5.05 2(0(3(2(x1)))) -> 1(3(0(2(2(x1))))) 16.75/5.05 3(0(3(2(x1)))) -> 3(0(0(0(2(3(x1)))))) 16.75/5.05 3(1(5(2(x1)))) -> 0(2(1(5(3(x1))))) 16.75/5.05 3(3(5(2(x1)))) -> 3(0(2(1(5(3(x1)))))) 16.75/5.05 4(5(2(2(x1)))) -> 2(5(0(2(4(1(x1)))))) 16.75/5.05 5(0(1(2(x1)))) -> 0(2(1(3(4(5(x1)))))) 16.75/5.05 5(0(2(2(x1)))) -> 2(0(2(4(1(5(x1)))))) 16.75/5.05 5(0(3(2(x1)))) -> 3(0(2(1(4(5(x1)))))) 16.75/5.05 5(1(2(2(x1)))) -> 0(2(1(5(2(1(x1)))))) 16.75/5.05 5(1(2(2(x1)))) -> 2(1(5(2(1(1(x1)))))) 16.75/5.05 0(1(2(4(2(x1))))) -> 4(2(1(0(2(1(x1)))))) 16.75/5.05 0(1(2(5(2(x1))))) -> 2(0(2(1(5(4(x1)))))) 16.75/5.05 0(1(5(1(2(x1))))) -> 1(0(2(1(1(5(x1)))))) 16.75/5.05 0(1(5(5(2(x1))))) -> 0(2(1(5(5(1(x1)))))) 16.75/5.05 0(5(0(1(2(x1))))) -> 0(4(5(0(2(1(x1)))))) 16.75/5.05 0(5(0(3(2(x1))))) -> 0(5(0(0(2(3(x1)))))) 16.75/5.05 0(5(5(2(2(x1))))) -> 0(2(1(5(5(2(x1)))))) 16.75/5.05 3(0(3(1(2(x1))))) -> 1(3(3(0(2(3(x1)))))) 16.75/5.05 3(0(3(4(2(x1))))) -> 1(3(4(0(2(3(x1)))))) 16.75/5.05 4(5(1(4(2(x1))))) -> 2(4(4(4(1(5(x1)))))) 16.75/5.05 5(0(1(3(2(x1))))) -> 3(5(0(2(1(3(x1)))))) 16.75/5.05 5(0(3(1(2(x1))))) -> 0(2(1(4(3(5(x1)))))) 16.75/5.05 5(0(4(2(2(x1))))) -> 2(0(2(4(1(5(x1)))))) 16.75/5.05 5(1(0(3(2(x1))))) -> 0(4(3(5(1(2(x1)))))) 16.75/5.05 5(1(0(3(2(x1))))) -> 5(3(1(1(0(2(x1)))))) 16.75/5.05 5(1(0(5(2(x1))))) -> 3(5(5(0(2(1(x1)))))) 16.75/5.05 5(1(0(5(2(x1))))) -> 5(0(2(1(5(5(x1)))))) 16.75/5.05 5(2(0(3(2(x1))))) -> 0(2(5(2(3(1(x1)))))) 16.75/5.05 16.75/5.05 Q is empty. 16.75/5.05 16.75/5.05 ---------------------------------------- 16.75/5.05 16.75/5.05 (1) QTRS Reverse (EQUIVALENT) 16.75/5.05 We applied the QTRS Reverse Processor [REVERSE]. 16.75/5.05 ---------------------------------------- 16.75/5.05 16.75/5.05 (2) 16.75/5.05 Obligation: 16.75/5.05 Q restricted rewrite system: 16.75/5.05 The TRS R consists of the following rules: 16.75/5.05 16.75/5.05 2(1(0(x1))) -> 1(1(2(0(x1)))) 16.75/5.05 2(1(0(x1))) -> 3(1(2(0(x1)))) 16.75/5.05 2(1(0(x1))) -> 3(1(1(2(0(x1))))) 16.75/5.05 2(1(0(x1))) -> 1(1(4(2(0(x1))))) 16.75/5.05 2(1(0(x1))) -> 3(1(4(2(0(x1))))) 16.75/5.05 2(3(0(x1))) -> 3(1(2(0(x1)))) 16.75/5.05 2(3(0(x1))) -> 3(1(1(2(0(x1))))) 16.75/5.05 2(3(0(x1))) -> 3(1(1(2(0(0(x1)))))) 16.75/5.05 2(1(1(0(x1)))) -> 3(1(1(2(0(x1))))) 16.75/5.05 2(2(1(0(x1)))) -> 1(1(2(2(0(x1))))) 16.75/5.05 2(2(1(0(x1)))) -> 1(2(3(2(0(x1))))) 16.75/5.05 2(3(1(0(x1)))) -> 3(4(1(2(0(x1))))) popout

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all output return to SRS_Standard 2019-03-29 03.29