details

property	value
status	complete
benchmark	z088.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	Zantema_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.69433 seconds
cpu usage	3.55863
user time	3.40323
system time	0.155404
max virtual memory	1.84773E7
max residence set size	252948.0

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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] (2) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a(a(x1)) -> a(b(b(b(x1)))) b(a(x1)) -> b(b(c(x1))) a(b(b(c(x1)))) -> a(a(a(b(x1)))) Q is empty. ---------------------------------------- (1) RFCMatchBoundsTRSProof (EQUIVALENT) Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 4. This implies Q-termination of R. The following rules were used to construct the certificate: a(a(x1)) -> a(b(b(b(x1)))) b(a(x1)) -> b(b(c(x1))) a(b(b(c(x1)))) -> a(a(a(b(x1)))) The certificate found is represented by the following graph. The certificate consists of the following enumerated nodes: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48 Node 1 is start node and node 2 is final node. Those nodes are connected through the following edges: * 1 to 3 labelled a_1(0)* 1 to 6 labelled b_1(0)* 1 to 8 labelled a_1(0)* 1 to 11 labelled a_1(1)* 2 to 2 labelled #_1(0)* 3 to 4 labelled b_1(0)* 4 to 5 labelled b_1(0)* 5 to 2 labelled b_1(0)* 5 to 14 labelled b_1(1)* 6 to 7 labelled b_1(0)* 7 to 2 labelled c_1(0)* 8 to 9 labelled a_1(0)* 8 to 16 labelled a_1(1)* 9 to 10 labelled a_1(0)* 9 to 19 labelled a_1(1)* 9 to 24 labelled a_1(2)* 10 to 2 labelled b_1(0)* 10 to 14 labelled b_1(1)* 11 to 12 labelled b_1(1)* 12 to 13 labelled b_1(1)* 13 to 9 labelled b_1(1)* 13 to 16 labelled b_1(1)* 13 to 22 labelled b_1(2)* 14 to 15 labelled b_1(1)* 15 to 2 labelled c_1(1)* 16 to 17 labelled b_1(1)* 17 to 18 labelled b_1(1)* 17 to 10 labelled c_1(1)* 18 to 10 labelled b_1(1)* 18 to 19 labelled b_1(1)* 18 to 24 labelled b_1(1)* 18 to 30 labelled b_1(2)* 19 to 20 labelled a_1(1)* 19 to 27 labelled a_1(2)* 20 to 21 labelled a_1(1)* 20 to 19 labelled a_1(1)* 20 to 24 labelled a_1(2)* 20 to 32 labelled a_1(2)* 20 to 39 labelled a_1(3)* 21 to 2 labelled b_1(1)* 21 to 14 labelled b_1(1)* 22 to 23 labelled b_1(2)* 23 to 19 labelled c_1(2)* 23 to 24 labelled c_1(2)* 24 to 25 labelled b_1(2)* 25 to 26 labelled b_1(2)* 26 to 20 labelled b_1(2)* 26 to 27 labelled b_1(2)* 26 to 22 labelled b_1(2)* 26 to 37 labelled b_1(3)* 27 to 28 labelled b_1(2)* 28 to 29 labelled b_1(2)* 28 to 21 labelled c_1(2)* 29 to 21 labelled b_1(2)* 29 to 19 labelled b_1(2)* 29 to 30 labelled b_1(2)* 29 to 35 labelled b_1(3)* 29 to 24 labelled b_1(2)* 29 to 32 labelled b_1(2)* 29 to 39 labelled b_1(2)* 30 to 31 labelled b_1(2)* 31 to 20 labelled c_1(2)* 31 to 27 labelled c_1(2)* 32 to 33 labelled a_1(2)* 32 to 42 labelled a_1(3)* 32 to 27 labelled a_1(2)* 33 to 34 labelled a_1(2)* 33 to 19 labelled a_1(1)* 33 to 24 labelled a_1(2)* 33 to 32 labelled a_1(2)* 33 to 39 labelled a_1(3)* 34 to 2 labelled b_1(2)* 34 to 14 labelled b_1(1)* 35 to 36 labelled b_1(3)* 36 to 27 labelled c_1(3)* 36 to 33 labelled c_1(3)* 36 to 42 labelled c_1(3)* 37 to 38 labelled b_1(3)* 38 to 24 labelled c_1(3)* 38 to 32 labelled c_1(3)* 38 to 39 labelled c_1(3)* 39 to 40 labelled b_1(3)* 40 to 41 labelled b_1(3)* 41 to 33 labelled b_1(3)* 41 to 42 labelled b_1(3)* 41 to 22 labelled b_1(2)* 41 to 27 labelled b_1(3)* 41 to 37 labelled b_1(3)* 41 to 47 labelled b_1(4)* 42 to 43 labelled b_1(3)* 43 to 44 labelled b_1(3)* 43 to 34 labelled c_1(3)* 44 to 34 labelled b_1(3)* 44 to 24 labelled b_1(3)* 44 to 32 labelled b_1(3)* 44 to 35 labelled b_1(3)* 44 to 45 labelled b_1(4)* 44 to 39 labelled b_1(3)* 45 to 46 labelled b_1(4)* 46 to 42 labelled c_1(4)* 47 to 48 labelled b_1(4)* 48 to 39 labelled c_1(4) ---------------------------------------- (2) YES popout

output may be truncated. 'popout' for the full output.

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all output return to SRS Standard