details

property	value
status	complete
benchmark	z082.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n052.star.cs.uiowa.edu
space	Zantema_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.77452 seconds
cpu usage	4.1208
user time	3.95866
system time	0.162137
max virtual memory	1.9140292E7
max residence set size	294920.0

stage attributes

key	value
starexec-result	YES

output

3.85/1.71 YES 3.85/1.74 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 3.85/1.74 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.85/1.74 3.85/1.74 3.85/1.74 Termination w.r.t. Q of the given QTRS could be proven: 3.85/1.74 3.85/1.74 (0) QTRS 3.85/1.74 (1) QTRS Reverse [EQUIVALENT, 0 ms] 3.85/1.74 (2) QTRS 3.85/1.74 (3) RFCMatchBoundsTRSProof [EQUIVALENT, 45 ms] 3.85/1.74 (4) YES 3.85/1.74 3.85/1.74 3.85/1.74 ---------------------------------------- 3.85/1.74 3.85/1.74 (0) 3.85/1.74 Obligation: 3.85/1.74 Q restricted rewrite system: 3.85/1.74 The TRS R consists of the following rules: 3.85/1.74 3.85/1.74 a(c(a(x1))) -> c(a(c(x1))) 3.85/1.74 a(a(b(x1))) -> a(d(b(x1))) 3.85/1.74 a(b(x1)) -> b(a(a(x1))) 3.85/1.74 d(d(x1)) -> a(d(b(x1))) 3.85/1.74 b(b(x1)) -> b(c(x1)) 3.85/1.74 a(d(c(x1))) -> c(a(x1)) 3.85/1.74 b(c(x1)) -> a(a(a(x1))) 3.85/1.74 3.85/1.74 Q is empty. 3.85/1.74 3.85/1.74 ---------------------------------------- 3.85/1.74 3.85/1.74 (1) QTRS Reverse (EQUIVALENT) 3.85/1.74 We applied the QTRS Reverse Processor [REVERSE]. 3.85/1.74 ---------------------------------------- 3.85/1.74 3.85/1.74 (2) 3.85/1.74 Obligation: 3.85/1.74 Q restricted rewrite system: 3.85/1.74 The TRS R consists of the following rules: 3.85/1.74 3.85/1.74 a(c(a(x1))) -> c(a(c(x1))) 3.85/1.74 b(a(a(x1))) -> b(d(a(x1))) 3.85/1.74 b(a(x1)) -> a(a(b(x1))) 3.85/1.74 d(d(x1)) -> b(d(a(x1))) 3.85/1.75 b(b(x1)) -> c(b(x1)) 3.85/1.75 c(d(a(x1))) -> a(c(x1)) 3.85/1.75 c(b(x1)) -> a(a(a(x1))) 3.85/1.75 3.85/1.75 Q is empty. 3.85/1.75 3.85/1.75 ---------------------------------------- 3.85/1.75 3.85/1.75 (3) RFCMatchBoundsTRSProof (EQUIVALENT) 3.85/1.75 Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 4. This implies Q-termination of R. 3.85/1.75 The following rules were used to construct the certificate: 3.85/1.75 3.85/1.75 a(c(a(x1))) -> c(a(c(x1))) 3.85/1.75 b(a(a(x1))) -> b(d(a(x1))) 3.85/1.75 b(a(x1)) -> a(a(b(x1))) 3.85/1.75 d(d(x1)) -> b(d(a(x1))) 3.85/1.75 b(b(x1)) -> c(b(x1)) 3.85/1.75 c(d(a(x1))) -> a(c(x1)) 3.85/1.75 c(b(x1)) -> a(a(a(x1))) 3.85/1.75 3.85/1.75 The certificate found is represented by the following graph. 3.85/1.75 The certificate consists of the following enumerated nodes: 3.85/1.75 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 57, 58, 59, 60, 61, 62, 63, 64, 103, 104, 105, 106, 107, 108, 140, 141 3.85/1.75 3.85/1.75 Node 1 is start node and node 3 is final node. 3.85/1.75 3.85/1.75 Those nodes are connected through the following edges: 3.85/1.75 3.85/1.75 * 1 to 4 labelled c_1(0)* 1 to 6 labelled b_1(0)* 1 to 8 labelled a_1(0)* 1 to 9 labelled c_1(0)* 1 to 5 labelled a_1(0), c_1(1)* 1 to 10 labelled a_1(1)* 1 to 19 labelled c_1(1)* 1 to 61 labelled c_1(2)* 3 to 3 labelled #_1(0)* 4 to 5 labelled a_1(0), c_1(1)* 4 to 19 labelled c_1(1)* 5 to 3 labelled c_1(0)* 5 to 12 labelled a_1(1)* 5 to 10 labelled a_1(1)* 5 to 5 labelled c_1(1)* 5 to 57 labelled c_1(2)* 5 to 61 labelled c_1(2)* 5 to 59 labelled c_1(2)* 5 to 63 labelled c_1(2)* 6 to 7 labelled d_1(0)* 7 to 3 labelled a_1(0)* 7 to 5 labelled c_1(1)* 8 to 9 labelled a_1(0)* 8 to 19 labelled c_1(1)* 9 to 3 labelled b_1(0), a_1(0)* 9 to 13 labelled b_1(1)* 9 to 15 labelled a_1(1)* 9 to 16 labelled c_1(1)* 9 to 5 labelled c_1(1)* 9 to 17 labelled a_1(2)* 9 to 63 labelled c_1(2)* 9 to 103 labelled c_1(3)* 10 to 11 labelled a_1(1)* 10 to 57 labelled c_1(2)* 11 to 3 labelled a_1(1)* 11 to 13 labelled a_1(1)* 11 to 5 labelled c_1(1)* 12 to 3 labelled c_1(1)* 12 to 12 labelled a_1(1)* 12 to 10 labelled a_1(1)* 12 to 20 labelled c_1(1)* 12 to 5 labelled c_1(1)* 12 to 57 labelled c_1(2)* 12 to 61 labelled c_1(2)* 12 to 58 labelled c_1(1)* 12 to 62 labelled c_1(1)* 12 to 59 labelled c_1(2)* 12 to 60 labelled c_1(1)* 12 to 63 labelled c_1(2)* 13 to 14 labelled d_1(1)* 14 to 3 labelled a_1(1)* 14 to 5 labelled c_1(1)* 15 to 16 labelled a_1(1)* 15 to 59 labelled c_1(2)* 16 to 3 labelled b_1(1)* 16 to 13 labelled b_1(1)* 16 to 15 labelled a_1(1)* 16 to 16 labelled c_1(1)* 16 to 17 labelled a_1(2)* 16 to 63 labelled c_1(2)* 16 to 103 labelled c_1(3)* 17 to 18 labelled a_1(2)* 17 to 57 labelled c_1(2)* 18 to 3 labelled a_1(2)* 18 to 5 labelled c_1(1)* 18 to 13 labelled a_1(2)* 19 to 20 labelled a_1(1)* 19 to 57 labelled c_1(2)* 20 to 12 labelled c_1(1)* 20 to 10 labelled c_1(1)* 20 to 15 labelled c_1(1)* 20 to 17 labelled c_1(1)* 20 to 64 labelled c_1(1)* 20 to 104 labelled c_1(1)* 57 to 58 labelled a_1(2)* 57 to 57 labelled c_1(2)* 57 to 5 labelled c_1(1)* 57 to 59 labelled c_1(2)* 57 to 105 labelled c_1(3)* 57 to 103 labelled c_1(3)* 58 to 12 labelled c_1(2), a_1(1)* 58 to 10 labelled c_1(2), a_1(1)* 58 to 11 labelled c_1(2)* 58 to 16 labelled c_1(2)* 58 to 3 labelled c_1(2)* 58 to 13 labelled c_1(2)* 58 to 17 labelled a_1(2)* 58 to 62 labelled c_1(2)* 58 to 18 labelled c_1(2)* 58 to 58 labelled a_1(2)* 58 to 5 labelled c_1(1)* 58 to 57 labelled c_1(2)* 58 to 61 labelled c_1(2)* 58 to 103 labelled c_1(3)* 58 to 59 labelled c_1(2)* 58 to 105 labelled c_1(3)* 58 to 63 labelled c_1(2)* 59 to 60 labelled a_1(2)* 59 to 57 labelled c_1(2)* 59 to 107 labelled c_1(3)* 60 to 15 labelled c_1(2)* 60 to 17 labelled c_1(2)* 60 to 64 labelled c_1(2)* 60 to 104 labelled c_1(2)* 61 to 62 labelled a_1(2)* 61 to 57 labelled c_1(2)* 61 to 105 labelled c_1(3)* 61 to 103 labelled c_1(3)* 62 to 58 labelled c_1(2)* 63 to 64 labelled a_1(2)* 64 to 60 labelled c_1(2)* 103 to 104 labelled a_1(3)* 103 to 57 labelled c_1(2)* 103 to 105 labelled c_1(3)* 103 to 103 labelled c_1(3)* 104 to 58 labelled c_1(3)* 105 to 106 labelled a_1(3)* 105 to 107 labelled c_1(3)* 105 to 5 labelled c_1(1)* 105 to 57 labelled c_1(2)* 105 to 103 labelled c_1(3)* 105 to 105 labelled c_1(3)* 105 to 140 labelled c_1(4)* 106 to 17 labelled c_1(3)* 106 to 3 labelled c_1(3)* 106 to 13 labelled c_1(3)* 106 to 12 labelled a_1(1)* 106 to 10 labelled a_1(1)* 106 to 62 labelled c_1(3)* 106 to 60 labelled c_1(3)* 106 to 104 labelled c_1(3)* 106 to 106 labelled c_1(3)* 106 to 58 labelled a_1(2)* 106 to 5 labelled c_1(1)* 106 to 57 labelled c_1(2)* 106 to 61 labelled c_1(2)* 106 to 103 labelled c_1(3)* 106 to 105 labelled c_1(3)* 106 to 63 labelled c_1(2)* 106 to 59 labelled c_1(2)* 106 to 64 labelled c_1(3)* 107 to 108 labelled a_1(3)* 107 to 105 labelled c_1(3)* 108 to 18 labelled c_1(3)* 140 to 141 labelled a_1(4)* 140 to 57 labelled c_1(2)* 140 to 103 labelled c_1(3)* 141 to 104 labelled c_1(4)* 141 to 106 labelled c_1(4) 3.85/1.75 3.85/1.75 3.85/1.75 ---------------------------------------- 3.85/1.75 3.85/1.75 (4) 3.85/1.75 YES 4.10/1.77 EOF popout

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

job log

popout

actions

all output return to SRS_Standard 2019-03-29 03.29