details

property	value
status	complete
benchmark	z014.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n087.star.cs.uiowa.edu
space	Zantema_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.75487 seconds
cpu usage	3.84232
user time	3.6758
system time	0.166521
max virtual memory	1.9008992E7
max residence set size	287052.0

stage attributes

key	value
starexec-result	YES

output

3.54/1.70 YES 3.74/1.72 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 3.74/1.72 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.74/1.72 3.74/1.72 3.74/1.72 Termination w.r.t. Q of the given QTRS could be proven: 3.74/1.72 3.74/1.72 (0) QTRS 3.74/1.72 (1) QTRS Reverse [EQUIVALENT, 0 ms] 3.74/1.72 (2) QTRS 3.74/1.72 (3) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] 3.74/1.72 (4) YES 3.74/1.72 3.74/1.72 3.74/1.72 ---------------------------------------- 3.74/1.72 3.74/1.72 (0) 3.74/1.72 Obligation: 3.74/1.72 Q restricted rewrite system: 3.74/1.72 The TRS R consists of the following rules: 3.74/1.72 3.74/1.72 a(b(x1)) -> b(a(a(x1))) 3.74/1.72 b(x1) -> c(a(c(x1))) 3.74/1.72 a(a(x1)) -> a(c(a(x1))) 3.74/1.72 3.74/1.72 Q is empty. 3.74/1.72 3.74/1.72 ---------------------------------------- 3.74/1.72 3.74/1.72 (1) QTRS Reverse (EQUIVALENT) 3.74/1.72 We applied the QTRS Reverse Processor [REVERSE]. 3.74/1.72 ---------------------------------------- 3.74/1.72 3.74/1.72 (2) 3.74/1.72 Obligation: 3.74/1.72 Q restricted rewrite system: 3.74/1.72 The TRS R consists of the following rules: 3.74/1.72 3.74/1.72 b(a(x1)) -> a(a(b(x1))) 3.74/1.72 b(x1) -> c(a(c(x1))) 3.74/1.72 a(a(x1)) -> a(c(a(x1))) 3.74/1.72 3.74/1.72 Q is empty. 3.74/1.72 3.74/1.72 ---------------------------------------- 3.74/1.72 3.74/1.72 (3) RFCMatchBoundsTRSProof (EQUIVALENT) 3.74/1.72 Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 3. This implies Q-termination of R. 3.74/1.72 The following rules were used to construct the certificate: 3.74/1.72 3.74/1.72 b(a(x1)) -> a(a(b(x1))) 3.74/1.72 b(x1) -> c(a(c(x1))) 3.74/1.72 a(a(x1)) -> a(c(a(x1))) 3.74/1.72 3.74/1.72 The certificate found is represented by the following graph. 3.74/1.72 The certificate consists of the following enumerated nodes: 3.74/1.72 46, 48, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76 3.74/1.72 3.74/1.72 Node 46 is start node and node 48 is final node. 3.74/1.72 3.74/1.72 Those nodes are connected through the following edges: 3.74/1.72 3.74/1.72 * 46 to 51 labelled a_1(0)* 46 to 53 labelled c_1(0)* 46 to 55 labelled a_1(0)* 46 to 59 labelled a_1(1)* 48 to 48 labelled #_1(0)* 51 to 52 labelled a_1(0)* 51 to 67 labelled a_1(1)* 52 to 48 labelled b_1(0)* 52 to 57 labelled c_1(1)* 52 to 61 labelled a_1(1)* 52 to 71 labelled a_1(2)* 53 to 54 labelled a_1(0)* 54 to 48 labelled c_1(0)* 55 to 56 labelled c_1(0)* 56 to 48 labelled a_1(0)* 56 to 63 labelled a_1(1)* 57 to 58 labelled a_1(1)* 58 to 48 labelled c_1(1)* 59 to 60 labelled c_1(1)* 60 to 52 labelled a_1(1)* 60 to 69 labelled a_1(2)* 60 to 67 labelled a_1(1)* 61 to 62 labelled a_1(1)* 61 to 69 labelled a_1(2)* 62 to 48 labelled b_1(1)* 62 to 65 labelled c_1(2)* 62 to 61 labelled a_1(1)* 62 to 71 labelled a_1(2)* 63 to 64 labelled c_1(1)* 64 to 48 labelled a_1(1)* 64 to 63 labelled a_1(1)* 65 to 66 labelled a_1(2)* 66 to 48 labelled c_1(2)* 67 to 68 labelled c_1(1)* 68 to 61 labelled a_1(1)* 68 to 71 labelled a_1(1), a_1(2)* 69 to 70 labelled c_1(2)* 70 to 61 labelled a_1(2)* 70 to 71 labelled a_1(2)* 70 to 73 labelled a_1(3)* 71 to 72 labelled c_1(2)* 72 to 62 labelled a_1(2)* 72 to 69 labelled a_1(2)* 72 to 75 labelled a_1(3)* 73 to 74 labelled c_1(3)* 74 to 69 labelled a_1(3)* 75 to 76 labelled c_1(3)* 76 to 71 labelled a_1(3) 3.74/1.72 3.74/1.72 3.74/1.72 ---------------------------------------- 3.74/1.72 3.74/1.72 (4) 3.74/1.72 YES 3.74/1.75 EOF popout

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all output return to SRS_Standard 2019-03-29 03.29