details

property	value
status	complete
benchmark	08.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n080.star.cs.uiowa.edu
space	Zantema_06

run statistics

property	value
solver	AProVE21
configuration	standard
runtime (wallclock)	2.22904396057 seconds
cpu usage	5.894615426
max memory	5.10676992E8

stage attributes

key	value
output-size	7590
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# AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) RFCMatchBoundsTRSProof [EQUIVALENT, 38 ms] (2) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a(b(a(a(b(x1))))) -> c(c(c(c(a(x1))))) c(x1) -> b(a(a(b(x1)))) Q is empty. ---------------------------------------- (1) RFCMatchBoundsTRSProof (EQUIVALENT) Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 4. This implies Q-termination of R. The following rules were used to construct the certificate: a(b(a(a(b(x1))))) -> c(c(c(c(a(x1))))) c(x1) -> b(a(a(b(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, 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, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151 Node 1 is start node and node 2 is final node. Those nodes are connected through the following edges: * 1 to 3 labelled c_1(0)* 1 to 7 labelled b_1(0)* 1 to 10 labelled b_1(1)* 2 to 2 labelled #_1(0)* 3 to 4 labelled c_1(0)* 3 to 13 labelled b_1(1)* 4 to 5 labelled c_1(0)* 4 to 16 labelled b_1(1)* 5 to 6 labelled c_1(0)* 5 to 19 labelled b_1(1)* 6 to 2 labelled a_1(0)* 6 to 22 labelled c_1(1)* 6 to 26 labelled b_1(2)* 7 to 8 labelled a_1(0)* 7 to 38 labelled c_1(1)* 7 to 42 labelled b_1(2)* 8 to 9 labelled a_1(0)* 8 to 22 labelled c_1(1)* 8 to 26 labelled b_1(2)* 9 to 2 labelled b_1(0)* 10 to 11 labelled a_1(1)* 11 to 12 labelled a_1(1)* 12 to 3 labelled b_1(1)* 13 to 14 labelled a_1(1)* 14 to 15 labelled a_1(1)* 15 to 4 labelled b_1(1)* 16 to 17 labelled a_1(1)* 17 to 18 labelled a_1(1)* 18 to 5 labelled b_1(1)* 19 to 20 labelled a_1(1)* 19 to 54 labelled c_1(2)* 19 to 62 labelled b_1(3)* 20 to 21 labelled a_1(1)* 20 to 22 labelled c_1(1)* 20 to 26 labelled b_1(2)* 21 to 6 labelled b_1(1)* 22 to 23 labelled c_1(1)* 22 to 29 labelled b_1(2)* 23 to 24 labelled c_1(1)* 23 to 32 labelled b_1(2)* 24 to 25 labelled c_1(1)* 24 to 35 labelled b_1(2)* 25 to 2 labelled a_1(1)* 25 to 22 labelled c_1(1)* 25 to 26 labelled b_1(2)* 26 to 27 labelled a_1(2)* 27 to 28 labelled a_1(2)* 28 to 22 labelled b_1(2)* 29 to 30 labelled a_1(2)* 30 to 31 labelled a_1(2)* 31 to 23 labelled b_1(2)* 32 to 33 labelled a_1(2)* 33 to 34 labelled a_1(2)* 34 to 24 labelled b_1(2)* 35 to 36 labelled a_1(2)* 35 to 86 labelled c_1(3)* 35 to 100 labelled b_1(4)* 36 to 37 labelled a_1(2)* 36 to 22 labelled c_1(1)* 36 to 26 labelled b_1(2)* 37 to 25 labelled b_1(2)* 38 to 39 labelled c_1(1)* 38 to 45 labelled b_1(2)* 39 to 40 labelled c_1(1)* 39 to 48 labelled b_1(2)* 40 to 41 labelled c_1(1)* 40 to 51 labelled b_1(2)* 41 to 22 labelled a_1(1)* 41 to 58 labelled c_1(2)* 41 to 65 labelled b_1(3)* 42 to 43 labelled a_1(2)* 43 to 44 labelled a_1(2)* 44 to 38 labelled b_1(2)* 45 to 46 labelled a_1(2)* 46 to 47 labelled a_1(2)* 47 to 39 labelled b_1(2)* 48 to 49 labelled a_1(2)* 49 to 50 labelled a_1(2)* 50 to 40 labelled b_1(2)* 51 to 52 labelled a_1(2)* 52 to 53 labelled a_1(2)* 53 to 41 labelled b_1(2)* 54 to 55 labelled c_1(2)* 54 to 68 labelled b_1(3)* 55 to 56 labelled c_1(2)* 55 to 71 labelled b_1(3)* 56 to 57 labelled c_1(2)* 56 to 74 labelled b_1(3)* 57 to 22 labelled a_1(2)* 57 to 90 labelled c_1(3)* 57 to 103 labelled b_1(4)* 58 to 59 labelled c_1(2)* 58 to 77 labelled b_1(3)* 59 to 60 labelled c_1(2)* 59 to 80 labelled b_1(3)* 60 to 61 labelled c_1(2)* 60 to 83 labelled b_1(3)* 61 to 23 labelled a_1(2)* 61 to 94 labelled c_1(3)* 61 to 106 labelled b_1(4)* 62 to 63 labelled a_1(3)* 63 to 64 labelled a_1(3)* 64 to 54 labelled b_1(3)* 65 to 66 labelled a_1(3)* 66 to 67 labelled a_1(3)* 67 to 58 labelled b_1(3)* 68 to 69 labelled a_1(3)* 69 to 70 labelled a_1(3)* 70 to 55 labelled b_1(3)* 71 to 72 labelled a_1(3)* 72 to 73 labelled a_1(3)* 73 to 56 labelled b_1(3)* 74 to 75 labelled a_1(3)* 75 to 76 labelled a_1(3)* 76 to 57 labelled b_1(3)* 77 to 78 labelled a_1(3)* 78 to 79 labelled a_1(3)* 79 to 59 labelled b_1(3)* 80 to 81 labelled a_1(3)* 81 to 82 labelled a_1(3)* 82 to 60 labelled b_1(3)* 83 to 84 labelled a_1(3)* 84 to 85 labelled a_1(3)* 85 to 61 labelled b_1(3)* 86 to 87 labelled c_1(3)* 86 to 109 labelled b_1(4)* 87 to 88 labelled c_1(3)* 87 to 112 labelled b_1(4)* 88 to 89 labelled c_1(3)* 88 to 115 labelled b_1(4)* 89 to 22 labelled a_1(3)* 89 to 90 labelled c_1(3)* 89 to 103 labelled b_1(4)* 90 to 91 labelled c_1(3)* 90 to 118 labelled b_1(4)* 91 to 92 labelled c_1(3)* 91 to 121 labelled b_1(4)* 92 to 93 labelled c_1(3)* 92 to 124 labelled b_1(4)* 93 to 23 labelled a_1(3)* 93 to 94 labelled c_1(3)* 93 to 106 labelled b_1(4)* 94 to 95 labelled c_1(3)* 94 to 127 labelled b_1(4)* 95 to 96 labelled c_1(3)* 95 to 130 labelled b_1(4)* 96 to 97 labelled c_1(3)* 96 to 133 labelled b_1(4)* 97 to 24 labelled a_1(3)* 97 to 136 labelled c_1(3)* 97 to 140 labelled b_1(4)* 100 to 101 labelled a_1(4)* 101 to 102 labelled a_1(4)* 102 to 86 labelled b_1(4)* 103 to 104 labelled a_1(4)* 104 to 105 labelled a_1(4)* 105 to 90 labelled b_1(4)* 106 to 107 labelled a_1(4)* 107 to 108 labelled a_1(4)* 108 to 94 labelled b_1(4)* 109 to 110 labelled a_1(4)* 110 to 111 labelled a_1(4)* 111 to 87 labelled b_1(4)* 112 to 113 labelled a_1(4)* 113 to 114 labelled a_1(4)* 114 to 88 labelled b_1(4)* 115 to 116 labelled a_1(4)* 116 to 117 labelled a_1(4)* 117 to 89 labelled b_1(4)* 118 to 119 labelled a_1(4)* 119 to 120 labelled a_1(4)* 120 to 91 labelled b_1(4)* 121 to 122 labelled a_1(4)* 122 to 123 labelled a_1(4)* 123 to 92 labelled b_1(4)* 124 to 125 labelled a_1(4)* 125 to 126 labelled a_1(4)* 126 to 93 labelled b_1(4)* 127 to 128 labelled a_1(4)* 128 to 129 labelled a_1(4)* 129 to 95 labelled b_1(4)* 130 to 131 labelled a_1(4)* 131 to 132 labelled a_1(4)* 132 to 96 labelled b_1(4)* 133 to 134 labelled a_1(4)* 134 to 135 labelled a_1(4)* 135 to 97 labelled b_1(4)* 136 to 137 labelled c_1(3)* 136 to 143 labelled b_1(4)* 137 to 138 labelled c_1(3)* 137 to 146 labelled b_1(4)* 138 to 139 labelled c_1(3)* 138 to 149 labelled b_1(4)* 139 to 25 labelled a_1(3)* 139 to 86 labelled c_1(3)* 139 to 100 labelled b_1(4)* 140 to 141 labelled a_1(4)* 141 to 142 labelled a_1(4)* 142 to 136 labelled b_1(4)* 143 to 144 labelled a_1(4)* 144 to 145 labelled a_1(4)* 145 to 137 labelled b_1(4)* 146 to 147 labelled a_1(4)* 147 to 148 labelled a_1(4)* 148 to 138 labelled b_1(4)* 149 to 150 labelled a_1(4)* 149 to 86 labelled c_1(3)* 149 to 100 labelled b_1(4)* 150 to 151 labelled a_1(4)* 150 to 22 labelled c_1(1)* 150 to 26 labelled b_1(2)* 151 to 139 labelled b_1(4) ---------------------------------------- (2) YES popout

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

job log

popout

actions

all output return to SRS Standard