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	n058.star.cs.uiowa.edu
space	Secret_05_SRS

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.64922499657 seconds
cpu usage	3.734475068
max memory	2.60644864E8

stage attributes

key	value
output-size	5645
starexec-result	YES

output

/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) RFCMatchBoundsTRSProof [EQUIVALENT, 22 ms] (2) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: t(o(x1)) -> m(a(x1)) t(e(x1)) -> n(s(x1)) a(l(x1)) -> a(t(x1)) o(m(a(x1))) -> t(e(n(x1))) s(a(x1)) -> l(a(t(o(m(a(t(e(x1)))))))) n(s(x1)) -> a(l(a(t(x1)))) Q is empty. ---------------------------------------- (1) RFCMatchBoundsTRSProof (EQUIVALENT) Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 6. This implies Q-termination of R. The following rules were used to construct the certificate: t(o(x1)) -> m(a(x1)) t(e(x1)) -> n(s(x1)) a(l(x1)) -> a(t(x1)) o(m(a(x1))) -> t(e(n(x1))) s(a(x1)) -> l(a(t(o(m(a(t(e(x1)))))))) n(s(x1)) -> a(l(a(t(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, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 89, 90, 91, 138, 139, 140, 141, 143, 144 Node 1 is start node and node 2 is final node. Those nodes are connected through the following edges: * 1 to 3 labelled m_1(0)* 1 to 4 labelled n_1(0)* 1 to 5 labelled a_1(0)* 1 to 6 labelled t_1(0)* 1 to 8 labelled l_1(0)* 1 to 15 labelled a_1(0)* 1 to 18 labelled a_1(1)* 1 to 21 labelled n_1(1)* 1 to 34 labelled a_1(2)* 1 to 35 labelled a_1(2)* 1 to 53 labelled a_1(3)* 2 to 2 labelled #_1(0)* 3 to 2 labelled a_1(0)* 3 to 20 labelled a_1(1)* 4 to 2 labelled s_1(0)* 4 to 22 labelled l_1(1)* 5 to 2 labelled t_1(0)* 5 to 29 labelled m_1(1)* 5 to 30 labelled n_1(1)* 5 to 38 labelled a_1(2)* 5 to 54 labelled a_1(3)* 6 to 7 labelled e_1(0)* 7 to 2 labelled n_1(0)* 7 to 18 labelled a_1(1)* 7 to 34 labelled a_1(2)* 8 to 9 labelled a_1(0)* 9 to 10 labelled t_1(0)* 9 to 31 labelled m_1(1)* 10 to 11 labelled o_1(0)* 10 to 32 labelled t_1(1)* 10 to 41 labelled n_1(2)* 10 to 55 labelled a_1(3)* 10 to 66 labelled a_1(4)* 11 to 12 labelled m_1(0)* 12 to 13 labelled a_1(0)* 13 to 14 labelled t_1(0)* 13 to 30 labelled n_1(1)* 13 to 38 labelled a_1(2)* 13 to 54 labelled a_1(3)* 14 to 2 labelled e_1(0)* 15 to 16 labelled l_1(0)* 16 to 17 labelled a_1(0)* 17 to 2 labelled t_1(0)* 17 to 29 labelled m_1(1)* 17 to 30 labelled n_1(1)* 17 to 38 labelled a_1(2)* 17 to 54 labelled a_1(3)* 18 to 19 labelled l_1(1)* 18 to 16 labelled t_1(1)* 19 to 20 labelled a_1(1)* 20 to 2 labelled t_1(1)* 20 to 29 labelled m_1(1)* 20 to 30 labelled n_1(1)* 20 to 38 labelled a_1(2)* 20 to 54 labelled a_1(3)* 21 to 7 labelled s_1(1)* 21 to 42 labelled l_1(2)* 22 to 23 labelled a_1(1)* 23 to 24 labelled t_1(1)* 23 to 49 labelled m_1(2)* 24 to 25 labelled o_1(1)* 24 to 51 labelled t_1(2)* 24 to 58 labelled n_1(3)* 24 to 67 labelled a_1(4)* 24 to 138 labelled a_1(5)* 25 to 26 labelled m_1(1)* 26 to 27 labelled a_1(1)* 27 to 28 labelled t_1(1)* 27 to 50 labelled n_1(2)* 27 to 59 labelled a_1(3)* 27 to 70 labelled a_1(4)* 28 to 2 labelled e_1(1)* 29 to 2 labelled a_1(1)* 29 to 20 labelled a_1(1)* 30 to 2 labelled s_1(1)* 30 to 22 labelled l_1(1)* 31 to 11 labelled a_1(1)* 32 to 33 labelled e_1(1)* 33 to 13 labelled n_1(1)* 34 to 19 labelled t_1(2)* 35 to 36 labelled l_1(2)* 36 to 37 labelled a_1(2)* 37 to 7 labelled t_1(2)* 38 to 39 labelled l_1(2)* 39 to 40 labelled a_1(2)* 40 to 2 labelled t_1(2)* 40 to 29 labelled m_1(1)* 40 to 30 labelled n_1(1)* 40 to 38 labelled a_1(2)* 40 to 54 labelled a_1(3)* 41 to 33 labelled s_1(2)* 42 to 43 labelled a_1(2)* 43 to 44 labelled t_1(2)* 43 to 62 labelled m_1(3)* 44 to 45 labelled o_1(2)* 44 to 64 labelled t_1(3)* 44 to 71 labelled n_1(4)* 44 to 139 labelled a_1(5)* 44 to 144 labelled a_1(6)* 45 to 46 labelled m_1(2)* 46 to 47 labelled a_1(2)* 47 to 48 labelled t_1(2)* 47 to 63 labelled n_1(3)* 47 to 89 labelled a_1(4)* 47 to 143 labelled a_1(5)* 48 to 18 labelled e_1(2)* 48 to 34 labelled e_1(2)* 49 to 25 labelled a_1(2)* 50 to 2 labelled s_1(2)* 50 to 22 labelled l_1(1)* 51 to 52 labelled e_1(2)* 52 to 27 labelled n_1(2)* 53 to 36 labelled t_1(3)* 54 to 39 labelled t_1(3)* 55 to 56 labelled l_1(3)* 56 to 57 labelled a_1(3)* 57 to 33 labelled t_1(3)* 58 to 52 labelled s_1(3)* 59 to 60 labelled l_1(3)* 60 to 61 labelled a_1(3)* 61 to 2 labelled t_1(3)* 61 to 29 labelled m_1(1)* 61 to 30 labelled n_1(1)* 61 to 38 labelled a_1(2)* 61 to 54 labelled a_1(3)* 62 to 45 labelled a_1(3)* 63 to 18 labelled s_1(3)* 63 to 34 labelled s_1(3)* 64 to 65 labelled e_1(3)* 65 to 47 labelled n_1(3)* 66 to 56 labelled t_1(4)* 67 to 68 labelled l_1(4)* 68 to 69 labelled a_1(4)* 69 to 52 labelled t_1(4)* 70 to 60 labelled t_1(4)* 71 to 65 labelled s_1(4)* 89 to 90 labelled l_1(4)* 90 to 91 labelled a_1(4)* 91 to 18 labelled t_1(4)* 91 to 34 labelled t_1(4)* 138 to 68 labelled t_1(5)* 139 to 140 labelled l_1(5)* 140 to 141 labelled a_1(5)* 141 to 65 labelled t_1(5)* 143 to 90 labelled t_1(5)* 144 to 140 labelled t_1(6) ---------------------------------------- (2) YES popout

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