details

property	value
status	complete
benchmark	213147.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n138.star.cs.uiowa.edu
space	ICFP_2010

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	14.4649 seconds
cpu usage	53.699
user time	51.8653
system time	1.83375
max virtual memory	6.2214824E7
max residence set size	4440536.0

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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRS Reverse [EQUIVALENT, 0 ms] (2) QTRS (3) DependencyPairsProof [EQUIVALENT, 183 ms] (4) QDP (5) DependencyGraphProof [EQUIVALENT, 0 ms] (6) QDP (7) QDPOrderProof [EQUIVALENT, 246 ms] (8) QDP (9) DependencyGraphProof [EQUIVALENT, 0 ms] (10) AND (11) QDP (12) UsableRulesProof [EQUIVALENT, 0 ms] (13) QDP (14) QDPSizeChangeProof [EQUIVALENT, 0 ms] (15) YES (16) QDP (17) QDPOrderProof [EQUIVALENT, 130 ms] (18) QDP (19) DependencyGraphProof [EQUIVALENT, 0 ms] (20) QDP (21) QDPOrderProof [EQUIVALENT, 99 ms] (22) QDP (23) QDPOrderProof [EQUIVALENT, 735 ms] (24) QDP (25) QDPOrderProof [EQUIVALENT, 49 ms] (26) QDP (27) PisEmptyProof [EQUIVALENT, 0 ms] (28) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 0(1(0(2(x1)))) -> 0(0(1(3(2(x1))))) 0(1(2(2(x1)))) -> 0(3(2(2(1(x1))))) 0(2(1(1(x1)))) -> 0(1(1(1(3(2(x1)))))) 0(2(3(2(x1)))) -> 0(3(0(3(2(2(x1)))))) 0(2(4(4(x1)))) -> 3(0(4(2(4(x1))))) 0(4(0(2(x1)))) -> 3(0(0(4(2(x1))))) 0(4(0(2(x1)))) -> 3(0(0(0(4(2(x1)))))) 0(4(5(1(x1)))) -> 0(0(0(4(1(5(x1)))))) 0(5(1(1(x1)))) -> 0(1(1(3(5(x1))))) 0(5(1(1(x1)))) -> 0(1(3(1(5(x1))))) 0(5(1(4(x1)))) -> 0(3(3(4(1(5(x1)))))) 0(5(3(2(x1)))) -> 0(3(0(5(5(2(x1)))))) 0(5(3(2(x1)))) -> 3(0(3(5(5(2(x1)))))) 0(5(4(1(x1)))) -> 0(3(1(5(4(x1))))) 0(5(4(1(x1)))) -> 0(0(4(1(1(5(x1)))))) 0(5(4(4(x1)))) -> 4(0(4(3(5(x1))))) 2(0(2(4(x1)))) -> 2(2(4(0(0(x1))))) 2(0(5(1(x1)))) -> 0(0(0(5(2(1(x1)))))) 2(0(5(1(x1)))) -> 5(0(3(5(2(1(x1)))))) 2(0(5(1(x1)))) -> 5(3(0(5(2(1(x1)))))) 2(0(5(4(x1)))) -> 2(4(0(3(5(x1))))) 5(1(0(2(x1)))) -> 2(5(0(3(1(x1))))) 5(3(2(4(x1)))) -> 2(3(4(3(5(x1))))) 5(4(0(2(x1)))) -> 5(0(3(0(4(2(x1)))))) 0(0(2(1(1(x1))))) -> 0(3(0(1(2(1(x1)))))) 0(1(5(1(4(x1))))) -> 0(4(3(1(1(5(x1)))))) 0(1(5(4(1(x1))))) -> 4(0(1(1(3(5(x1)))))) 0(2(0(2(4(x1))))) -> 0(0(2(1(2(4(x1)))))) 0(2(0(5(1(x1))))) -> 5(0(0(0(2(1(x1)))))) 0(2(1(3(2(x1))))) -> 3(0(3(1(2(2(x1)))))) 0(2(1(5(1(x1))))) -> 0(5(2(1(1(0(x1)))))) 0(2(3(5(1(x1))))) -> 5(2(1(0(0(3(x1)))))) 0(4(0(4(2(x1))))) -> 3(0(0(4(4(2(x1)))))) 0(5(0(2(4(x1))))) -> 0(4(0(5(2(4(x1)))))) 0(5(1(3(2(x1))))) -> 0(3(4(1(5(2(x1)))))) 0(5(4(3(2(x1))))) -> 0(0(3(4(2(5(x1)))))) 0(5(5(4(2(x1))))) -> 4(0(3(5(5(2(x1)))))) 2(0(1(2(4(x1))))) -> 2(2(1(3(4(0(x1)))))) 2(0(5(1(1(x1))))) -> 5(0(2(3(1(1(x1)))))) 2(5(5(1(1(x1))))) -> 5(5(2(1(1(3(x1)))))) 3(4(2(1(1(x1))))) -> 3(4(3(1(1(2(x1)))))) 3(5(0(2(1(x1))))) -> 1(2(5(0(3(3(x1)))))) 4(1(2(1(1(x1))))) -> 3(4(1(1(2(1(x1)))))) 4(1(2(4(1(x1))))) -> 4(3(4(1(1(2(x1)))))) 4(3(5(1(1(x1))))) -> 3(4(1(1(1(5(x1)))))) 5(0(1(5(1(x1))))) -> 5(0(3(1(1(5(x1)))))) 5(0(5(0(2(x1))))) -> 2(0(0(0(5(5(x1)))))) 5(1(4(5(1(x1))))) -> 5(0(1(1(5(4(x1)))))) 5(1(4(5(1(x1))))) -> 5(3(4(1(1(5(x1)))))) 5(3(1(5(4(x1))))) -> 5(3(4(1(3(5(x1)))))) Q is empty. ---------------------------------------- popout

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all output return to SRS Standard