details

property	value
status	complete
benchmark	25731.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n121.star.cs.uiowa.edu
space	ICFP_2010

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.58783 seconds
cpu usage	3.63744
user time	3.48283
system time	0.154612
max virtual memory	1.8544552E7
max residence set size	257960.0

stage attributes

key	value
starexec-result	YES

output

3.45/1.53 YES 3.45/1.54 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 3.45/1.54 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.45/1.54 3.45/1.54 3.45/1.54 Termination w.r.t. Q of the given QTRS could be proven: 3.45/1.54 3.45/1.54 (0) QTRS 3.45/1.54 (1) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] 3.45/1.54 (2) YES 3.45/1.54 3.45/1.54 3.45/1.54 ---------------------------------------- 3.45/1.54 3.45/1.54 (0) 3.45/1.54 Obligation: 3.45/1.54 Q restricted rewrite system: 3.45/1.54 The TRS R consists of the following rules: 3.45/1.54 3.45/1.54 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(x1)))))))))) 3.45/1.54 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(x1))))))))))))) 3.45/1.54 3.45/1.54 Q is empty. 3.45/1.54 3.45/1.54 ---------------------------------------- 3.45/1.54 3.45/1.54 (1) RFCMatchBoundsTRSProof (EQUIVALENT) 3.45/1.54 Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 2. This implies Q-termination of R. 3.45/1.54 The following rules were used to construct the certificate: 3.45/1.54 3.45/1.54 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(x1)))))))))) 3.45/1.54 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(x1))))))))))))) 3.45/1.54 3.45/1.54 The certificate found is represented by the following graph. 3.45/1.54 The certificate consists of the following enumerated nodes: 3.45/1.54 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, 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, 123, 124, 125, 126, 127, 128 3.45/1.54 3.45/1.54 Node 1 is start node and node 2 is final node. 3.45/1.54 3.45/1.54 Those nodes are connected through the following edges: 3.45/1.54 3.45/1.54 * 1 to 3 labelled 1_1(0)* 1 to 12 labelled 1_1(0)* 2 to 2 labelled #_1(0)* 3 to 4 labelled 2_1(0)* 4 to 5 labelled 1_1(0)* 5 to 6 labelled 1_1(0)* 6 to 7 labelled 0_1(0)* 6 to 45 labelled 1_1(1)* 6 to 54 labelled 1_1(1)* 7 to 8 labelled 1_1(0)* 8 to 9 labelled 2_1(0)* 9 to 10 labelled 0_1(0)* 9 to 24 labelled 1_1(1)* 9 to 33 labelled 1_1(1)* 10 to 11 labelled 1_1(0)* 11 to 2 labelled 2_1(0)* 12 to 13 labelled 2_1(0)* 13 to 14 labelled 1_1(0)* 14 to 15 labelled 1_1(0)* 15 to 16 labelled 0_1(0)* 15 to 66 labelled 1_1(1)* 15 to 75 labelled 1_1(1)* 16 to 17 labelled 1_1(0)* 17 to 18 labelled 2_1(0)* 18 to 19 labelled 0_1(0)* 18 to 45 labelled 1_1(1)* 18 to 54 labelled 1_1(1)* 19 to 20 labelled 1_1(0)* 20 to 21 labelled 2_1(0)* 21 to 22 labelled 0_1(0)* 21 to 24 labelled 1_1(1)* 21 to 33 labelled 1_1(1)* 22 to 23 labelled 1_1(0)* 23 to 2 labelled 2_1(0)* 24 to 25 labelled 2_1(1)* 25 to 26 labelled 1_1(1)* 26 to 27 labelled 1_1(1)* 27 to 28 labelled 0_1(1)* 27 to 87 labelled 1_1(2)* 27 to 96 labelled 1_1(2)* 28 to 29 labelled 1_1(1)* 29 to 30 labelled 2_1(1)* 30 to 31 labelled 0_1(1)* 30 to 24 labelled 1_1(1)* 30 to 33 labelled 1_1(1)* 31 to 32 labelled 1_1(1)* 32 to 2 labelled 2_1(1)* 33 to 34 labelled 2_1(1)* 34 to 35 labelled 1_1(1)* 35 to 36 labelled 1_1(1)* 36 to 37 labelled 0_1(1)* 36 to 108 labelled 1_1(2)* 36 to 117 labelled 1_1(2)* 37 to 38 labelled 1_1(1)* 38 to 39 labelled 2_1(1)* 39 to 40 labelled 0_1(1)* 39 to 87 labelled 1_1(2)* 39 to 96 labelled 1_1(2)* 40 to 41 labelled 1_1(1)* 41 to 42 labelled 2_1(1)* 42 to 43 labelled 0_1(1)* 42 to 24 labelled 1_1(1)* 42 to 33 labelled 1_1(1)* 43 to 44 labelled 1_1(1)* 44 to 2 labelled 2_1(1)* 45 to 46 labelled 2_1(1)* 46 to 47 labelled 1_1(1)* 47 to 48 labelled 1_1(1)* 48 to 49 labelled 0_1(1)* 49 to 50 labelled 1_1(1)* 50 to 51 labelled 2_1(1)* 51 to 52 labelled 0_1(1)* 52 to 53 labelled 1_1(1)* 53 to 24 labelled 2_1(1)* 53 to 33 labelled 2_1(1)* 54 to 55 labelled 2_1(1)* 55 to 56 labelled 1_1(1)* 56 to 57 labelled 1_1(1)* 57 to 58 labelled 0_1(1)* 58 to 59 labelled 1_1(1)* 59 to 60 labelled 2_1(1)* 60 to 61 labelled 0_1(1)* 61 to 62 labelled 1_1(1)* 62 to 63 labelled 2_1(1)* 63 to 64 labelled 0_1(1)* 64 to 65 labelled 1_1(1)* 65 to 24 labelled 2_1(1)* 65 to 33 labelled 2_1(1)* 66 to 67 labelled 2_1(1)* 67 to 68 labelled 1_1(1)* 68 to 69 labelled 1_1(1)* 69 to 70 labelled 0_1(1)* 70 to 71 labelled 1_1(1)* 71 to 72 labelled 2_1(1)* 72 to 73 labelled 0_1(1)* 73 to 74 labelled 1_1(1)* 74 to 45 labelled 2_1(1)* 74 to 54 labelled 2_1(1)* 75 to 76 labelled 2_1(1)* 76 to 77 labelled 1_1(1)* 77 to 78 labelled 1_1(1)* 78 to 79 labelled 0_1(1)* 79 to 80 labelled 1_1(1)* 80 to 81 labelled 2_1(1)* 81 to 82 labelled 0_1(1)* 82 to 83 labelled 1_1(1)* 83 to 84 labelled 2_1(1)* 84 to 85 labelled 0_1(1)* 85 to 86 labelled 1_1(1)* 86 to 45 labelled 2_1(1)* 86 to 54 labelled 2_1(1)* 87 to 88 labelled 2_1(2)* 88 to 89 labelled 1_1(2)* 89 to 90 labelled 1_1(2)* 90 to 91 labelled 0_1(2)* 91 to 92 labelled 1_1(2)* 92 to 93 labelled 2_1(2)* 93 to 94 labelled 0_1(2)* 94 to 95 labelled 1_1(2)* 95 to 24 labelled 2_1(2)* 95 to 33 labelled 2_1(2)* 96 to 97 labelled 2_1(2)* 97 to 98 labelled 1_1(2)* 98 to 99 labelled 1_1(2)* 99 to 100 labelled 0_1(2)* 100 to 101 labelled 1_1(2)* 101 to 102 labelled 2_1(2)* 102 to 103 labelled 0_1(2)* 103 to 104 labelled 1_1(2)* 104 to 105 labelled 2_1(2)* 105 to 106 labelled 0_1(2)* 106 to 107 labelled 1_1(2)* 107 to 24 labelled 2_1(2)* 107 to 33 labelled 2_1(2)* 108 to 109 labelled 2_1(2)* 109 to 110 labelled 1_1(2)* 110 to 111 labelled 1_1(2)* 111 to 112 labelled 0_1(2)* 112 to 113 labelled 1_1(2)* 113 to 114 labelled 2_1(2)* 114 to 115 labelled 0_1(2)* 115 to 116 labelled 1_1(2)* 116 to 87 labelled 2_1(2)* 116 to 96 labelled 2_1(2)* 117 to 118 labelled 2_1(2)* 118 to 119 labelled 1_1(2)* 119 to 120 labelled 1_1(2)* 120 to 121 labelled 0_1(2)* 121 to 122 labelled 1_1(2)* 122 to 123 labelled 2_1(2)* 123 to 124 labelled 0_1(2)* 124 to 125 labelled 1_1(2)* 125 to 126 labelled 2_1(2)* 126 to 127 labelled 0_1(2)* 127 to 128 labelled 1_1(2)* 128 to 87 labelled 2_1(2)* 128 to 96 labelled 2_1(2) 3.45/1.54 3.45/1.54 3.45/1.54 ---------------------------------------- 3.45/1.54 3.45/1.54 (2) 3.45/1.54 YES 3.45/1.58 EOF popout

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all output return to SRS_Standard 2019-03-29 03.29