details

property	value
status	complete
benchmark	matchbox2.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n177.star.cs.uiowa.edu
space	Secret_05_SRS

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	2.33629 seconds
cpu usage	3.79902
user time	3.63626
system time	0.162756
max virtual memory	1.867674E7
max residence set size	244964.0

stage attributes

key	value
starexec-result	YES

output

3.40/2.13 YES 3.73/2.15 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 3.73/2.15 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.73/2.15 3.73/2.15 3.73/2.15 Termination w.r.t. Q of the given QTRS could be proven: 3.73/2.15 3.73/2.15 (0) QTRS 3.73/2.15 (1) QTRS Reverse [EQUIVALENT, 0 ms] 3.73/2.15 (2) QTRS 3.73/2.15 (3) RFCMatchBoundsTRSProof [EQUIVALENT, 21 ms] 3.73/2.15 (4) YES 3.73/2.15 3.73/2.15 3.73/2.15 ---------------------------------------- 3.73/2.15 3.73/2.15 (0) 3.73/2.15 Obligation: 3.73/2.15 Q restricted rewrite system: 3.73/2.15 The TRS R consists of the following rules: 3.73/2.15 3.73/2.15 t(o(x1)) -> m(a(x1)) 3.73/2.15 t(e(x1)) -> n(s(x1)) 3.73/2.15 a(l(x1)) -> a(t(x1)) 3.73/2.15 o(m(a(x1))) -> t(e(n(x1))) 3.73/2.15 s(a(x1)) -> l(a(t(o(m(a(t(e(x1)))))))) 3.73/2.15 n(s(x1)) -> a(l(a(t(x1)))) 3.73/2.15 3.73/2.15 Q is empty. 3.73/2.15 3.73/2.15 ---------------------------------------- 3.73/2.15 3.73/2.15 (1) QTRS Reverse (EQUIVALENT) 3.73/2.15 We applied the QTRS Reverse Processor [REVERSE]. 3.73/2.15 ---------------------------------------- 3.73/2.15 3.73/2.15 (2) 3.73/2.15 Obligation: 3.73/2.15 Q restricted rewrite system: 3.73/2.15 The TRS R consists of the following rules: 3.73/2.15 3.73/2.15 o(t(x1)) -> a(m(x1)) 3.73/2.15 e(t(x1)) -> s(n(x1)) 3.73/2.15 l(a(x1)) -> t(a(x1)) 3.73/2.15 a(m(o(x1))) -> n(e(t(x1))) 3.73/2.15 a(s(x1)) -> e(t(a(m(o(t(a(l(x1)))))))) 3.73/2.15 s(n(x1)) -> t(a(l(a(x1)))) 3.73/2.15 3.73/2.15 Q is empty. 3.73/2.15 3.73/2.15 ---------------------------------------- 3.73/2.15 3.73/2.15 (3) RFCMatchBoundsTRSProof (EQUIVALENT) 3.73/2.15 Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 5. This implies Q-termination of R. 3.73/2.15 The following rules were used to construct the certificate: 3.73/2.15 3.73/2.15 o(t(x1)) -> a(m(x1)) 3.73/2.15 e(t(x1)) -> s(n(x1)) 3.73/2.15 l(a(x1)) -> t(a(x1)) 3.73/2.15 a(m(o(x1))) -> n(e(t(x1))) 3.73/2.15 a(s(x1)) -> e(t(a(m(o(t(a(l(x1)))))))) 3.73/2.15 s(n(x1)) -> t(a(l(a(x1)))) 3.73/2.15 3.73/2.15 The certificate found is represented by the following graph. 3.73/2.15 The certificate consists of the following enumerated nodes: 3.73/2.15 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 45, 47, 48, 49, 51, 52, 54, 55, 56, 57, 58, 59, 60, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97 3.73/2.15 3.73/2.15 Node 18 is start node and node 19 is final node. 3.73/2.15 3.73/2.15 Those nodes are connected through the following edges: 3.73/2.15 3.73/2.15 * 18 to 20 labelled a_1(0)* 18 to 21 labelled s_1(0)* 18 to 22 labelled t_1(0)* 18 to 23 labelled n_1(0)* 18 to 25 labelled e_1(0)* 18 to 32 labelled t_1(0)* 18 to 45 labelled t_1(1)* 18 to 49 labelled s_1(1)* 18 to 51 labelled n_1(1)* 18 to 68 labelled t_1(2)* 19 to 19 labelled #_1(0)* 20 to 19 labelled m_1(0)* 21 to 19 labelled n_1(0)* 22 to 19 labelled a_1(0)* 22 to 51 labelled n_1(1)* 22 to 54 labelled e_1(1)* 22 to 71 labelled s_1(2)* 22 to 80 labelled t_1(3)* 23 to 24 labelled e_1(0)* 23 to 64 labelled s_1(1)* 23 to 72 labelled t_1(2)* 24 to 19 labelled t_1(0)* 25 to 26 labelled t_1(0)* 26 to 27 labelled a_1(0)* 26 to 66 labelled n_1(1)* 27 to 28 labelled m_1(0)* 28 to 29 labelled o_1(0)* 28 to 65 labelled a_1(1)* 29 to 30 labelled t_1(0)* 30 to 31 labelled a_1(0)* 31 to 19 labelled l_1(0)* 31 to 48 labelled t_1(1)* 32 to 33 labelled a_1(0)* 33 to 34 labelled l_1(0)* 33 to 48 labelled t_1(1)* 34 to 19 labelled a_1(0)* 34 to 51 labelled n_1(1)* 34 to 54 labelled e_1(1)* 34 to 71 labelled s_1(2)* 34 to 80 labelled t_1(3)* 45 to 47 labelled a_1(1)* 47 to 48 labelled l_1(1)* 47 to 74 labelled t_1(2)* 48 to 19 labelled a_1(1)* 48 to 51 labelled n_1(1)* 48 to 54 labelled e_1(1)* 48 to 71 labelled s_1(2)* 48 to 80 labelled t_1(3)* 49 to 26 labelled n_1(1)* 51 to 52 labelled e_1(1)* 51 to 75 labelled s_1(2)* 51 to 83 labelled t_1(3)* 52 to 19 labelled t_1(1)* 54 to 55 labelled t_1(1)* 55 to 56 labelled a_1(1)* 55 to 78 labelled n_1(2)* 56 to 57 labelled m_1(1)* 57 to 58 labelled o_1(1)* 57 to 76 labelled a_1(2)* 58 to 59 labelled t_1(1)* 59 to 60 labelled a_1(1)* 60 to 19 labelled l_1(1)* 60 to 48 labelled t_1(1)* 64 to 19 labelled n_1(1)* 65 to 30 labelled m_1(1)* 66 to 67 labelled e_1(1)* 66 to 77 labelled s_1(2)* 66 to 86 labelled t_1(3)* 67 to 29 labelled t_1(1)* 68 to 69 labelled a_1(2)* 69 to 70 labelled l_1(2)* 69 to 89 labelled t_1(3)* 70 to 26 labelled a_1(2)* 71 to 55 labelled n_1(2)* 72 to 73 labelled a_1(2)* 73 to 74 labelled l_1(2)* 73 to 85 labelled t_1(3)* 74 to 19 labelled a_1(2)* 74 to 51 labelled n_1(1)* 74 to 54 labelled e_1(1)* 74 to 71 labelled s_1(2)* 74 to 80 labelled t_1(3)* 75 to 19 labelled n_1(2)* 76 to 59 labelled m_1(2)* 77 to 29 labelled n_1(2)* 78 to 79 labelled e_1(2)* 78 to 90 labelled s_1(3)* 78 to 91 labelled t_1(4)* 79 to 58 labelled t_1(2)* 80 to 81 labelled a_1(3)* 81 to 82 labelled l_1(3)* 81 to 94 labelled t_1(4)* 82 to 55 labelled a_1(3)* 83 to 84 labelled a_1(3)* 84 to 85 labelled l_1(3)* 84 to 95 labelled t_1(4)* 85 to 19 labelled a_1(3)* 85 to 51 labelled n_1(1)* 85 to 54 labelled e_1(1)* 85 to 71 labelled s_1(2)* 85 to 80 labelled t_1(3)* 86 to 87 labelled a_1(3)* 87 to 88 labelled l_1(3)* 87 to 96 labelled t_1(4)* 88 to 29 labelled a_1(3)* 89 to 26 labelled a_1(3)* 90 to 58 labelled n_1(3)* 91 to 92 labelled a_1(4)* 92 to 93 labelled l_1(4)* 92 to 97 labelled t_1(5)* 93 to 58 labelled a_1(4)* 94 to 55 labelled a_1(4)* 95 to 19 labelled a_1(4)* 95 to 51 labelled n_1(1)* 95 to 54 labelled e_1(1)* 95 to 71 labelled s_1(2)* 95 to 80 labelled t_1(3)* 96 to 29 labelled a_1(4)* 97 to 58 labelled a_1(5) 3.73/2.15 3.73/2.15 3.73/2.15 ---------------------------------------- 3.73/2.15 3.73/2.15 (4) 3.73/2.15 YES 3.79/2.33 EOF popout

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all output return to SRS_Standard 2019-03-29 03.29