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	n148.star.cs.uiowa.edu
space	Secret_05_SRS

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.65156 seconds
cpu usage	3.79219
user time	3.61977
system time	0.172417
max virtual memory	1.9009016E7
max residence set size	290136.0

stage attributes

key	value
starexec-result	YES

output

YES proof of /export/starexec/sandbox2/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRS Reverse [EQUIVALENT, 0 ms] (2) QTRS (3) RFCMatchBoundsTRSProof [EQUIVALENT, 10 ms] (4) 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) QTRS Reverse (EQUIVALENT) We applied the QTRS Reverse Processor [REVERSE]. ---------------------------------------- (2) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: o(t(x1)) -> a(m(x1)) e(t(x1)) -> s(n(x1)) l(a(x1)) -> t(a(x1)) a(m(o(x1))) -> n(e(t(x1))) a(s(x1)) -> e(t(a(m(o(t(a(l(x1)))))))) s(n(x1)) -> t(a(l(a(x1)))) Q is empty. ---------------------------------------- (3) RFCMatchBoundsTRSProof (EQUIVALENT) Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 5. This implies Q-termination of R. The following rules were used to construct the certificate: o(t(x1)) -> a(m(x1)) e(t(x1)) -> s(n(x1)) l(a(x1)) -> t(a(x1)) a(m(o(x1))) -> n(e(t(x1))) a(s(x1)) -> e(t(a(m(o(t(a(l(x1)))))))) s(n(x1)) -> t(a(l(a(x1)))) The certificate found is represented by the following graph. The certificate consists of the following enumerated nodes: 53, 54, 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, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 132, 133, 134, 135, 136, 137, 143 Node 53 is start node and node 54 is final node. Those nodes are connected through the following edges: * 53 to 68 labelled a_1(0)* 53 to 69 labelled s_1(0)* 53 to 70 labelled t_1(0)* 53 to 71 labelled n_1(0)* 53 to 73 labelled e_1(0)* 53 to 80 labelled t_1(0)* 53 to 83 labelled t_1(1)* 53 to 86 labelled s_1(1)* 53 to 87 labelled n_1(1)* 53 to 100 labelled t_1(2)* 54 to 54 labelled #_1(0)* 68 to 54 labelled m_1(0)* 69 to 54 labelled n_1(0)* 70 to 54 labelled a_1(0)* 70 to 87 labelled n_1(1)* 70 to 89 labelled e_1(1)* 70 to 103 labelled s_1(2)* 70 to 112 labelled t_1(3)* 71 to 72 labelled e_1(0)* 71 to 96 labelled s_1(1)* 71 to 104 labelled t_1(2)* 72 to 54 labelled t_1(0)* 73 to 74 labelled t_1(0)* 74 to 75 labelled a_1(0)* 74 to 98 labelled n_1(1)* 75 to 76 labelled m_1(0)* 76 to 77 labelled o_1(0)* 76 to 97 labelled a_1(1)* 77 to 78 labelled t_1(0)* 78 to 79 labelled a_1(0)* 79 to 54 labelled l_1(0)* 79 to 85 labelled t_1(1)* 80 to 81 labelled a_1(0)* 81 to 82 labelled l_1(0)* 81 to 85 labelled t_1(1)* 82 to 54 labelled a_1(0)* 82 to 87 labelled n_1(1)* 82 to 89 labelled e_1(1)* 82 to 103 labelled s_1(2)* 82 to 112 labelled t_1(3)* 83 to 84 labelled a_1(1)* 84 to 85 labelled l_1(1)* 84 to 106 labelled t_1(2)* 85 to 54 labelled a_1(1)* 85 to 87 labelled n_1(1)* 85 to 89 labelled e_1(1)* 85 to 103 labelled s_1(2)* 85 to 112 labelled t_1(3)* 86 to 74 labelled n_1(1)* 87 to 88 labelled e_1(1)* 87 to 107 labelled s_1(2)* 87 to 115 labelled t_1(3)* 88 to 54 labelled t_1(1)* 89 to 90 labelled t_1(1)* 90 to 91 labelled a_1(1)* 90 to 110 labelled n_1(2)* 91 to 92 labelled m_1(1)* 92 to 93 labelled o_1(1)* 92 to 108 labelled a_1(2)* 93 to 94 labelled t_1(1)* 94 to 95 labelled a_1(1)* 95 to 54 labelled l_1(1)* 95 to 85 labelled t_1(1)* 96 to 54 labelled n_1(1)* 97 to 78 labelled m_1(1)* 98 to 99 labelled e_1(1)* 98 to 109 labelled s_1(2)* 98 to 118 labelled t_1(3)* 99 to 77 labelled t_1(1)* 100 to 101 labelled a_1(2)* 101 to 102 labelled l_1(2)* 101 to 121 labelled t_1(3)* 102 to 74 labelled a_1(2)* 103 to 90 labelled n_1(2)* 104 to 105 labelled a_1(2)* 105 to 106 labelled l_1(2)* 105 to 117 labelled t_1(3)* 106 to 54 labelled a_1(2)* 106 to 87 labelled n_1(1)* 106 to 89 labelled e_1(1)* 106 to 103 labelled s_1(2)* 106 to 112 labelled t_1(3)* 107 to 54 labelled n_1(2)* 108 to 94 labelled m_1(2)* 109 to 77 labelled n_1(2)* 110 to 111 labelled e_1(2)* 110 to 122 labelled s_1(3)* 110 to 132 labelled t_1(4)* 111 to 93 labelled t_1(2)* 112 to 113 labelled a_1(3)* 113 to 114 labelled l_1(3)* 113 to 135 labelled t_1(4)* 114 to 90 labelled a_1(3)* 115 to 116 labelled a_1(3)* 116 to 117 labelled l_1(3)* 116 to 136 labelled t_1(4)* 117 to 54 labelled a_1(3)* 117 to 87 labelled n_1(1)* 117 to 89 labelled e_1(1)* 117 to 103 labelled s_1(2)* 117 to 112 labelled t_1(3)* 118 to 119 labelled a_1(3)* 119 to 120 labelled l_1(3)* 119 to 137 labelled t_1(4)* 120 to 77 labelled a_1(3)* 121 to 74 labelled a_1(3)* 122 to 93 labelled n_1(3)* 132 to 133 labelled a_1(4)* 133 to 134 labelled l_1(4)* 133 to 143 labelled t_1(5)* 134 to 93 labelled a_1(4)* 135 to 90 labelled a_1(4)* 136 to 54 labelled a_1(4)* 136 to 87 labelled n_1(1)* 136 to 89 labelled e_1(1)* 136 to 103 labelled s_1(2)* 136 to 112 labelled t_1(3)* 137 to 77 labelled a_1(4)* 143 to 93 labelled a_1(5) ---------------------------------------- (4) YES popout

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

job log

popout

actions

all output return to SRS Standard