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	n146.star.cs.uiowa.edu
space	ICFP_2010

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.61772 seconds
cpu usage	3.65052
user time	3.49565
system time	0.154874
max virtual memory	1.8677224E7
max residence set size	265704.0

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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] (2) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(x1)))))))))) 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(x1))))))))))))) Q is empty. ---------------------------------------- (1) RFCMatchBoundsTRSProof (EQUIVALENT) Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 2. This implies Q-termination of R. The following rules were used to construct the certificate: 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(x1)))))))))) 0(1(2(1(x1)))) -> 1(2(1(1(0(1(2(0(1(2(0(1(2(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, 47, 48, 49, 50, 51, 52, 53, 54, 55, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 132, 134, 136, 138, 140, 142, 144, 146, 148, 153, 155, 157, 159, 161, 163, 165, 167, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193 Node 1 is start node and node 2 is final node. Those nodes are connected through the following edges: * 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 47 labelled 1_1(1)* 6 to 65 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 110 labelled 1_1(1)* 15 to 119 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 47 labelled 1_1(1)* 18 to 65 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 132 labelled 1_1(2)* 27 to 153 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 173 labelled 1_1(2)* 36 to 182 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 132 labelled 1_1(2)* 39 to 153 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)* 47 to 48 labelled 2_1(1)* 48 to 49 labelled 1_1(1)* 49 to 50 labelled 1_1(1)* 50 to 51 labelled 0_1(1)* 51 to 52 labelled 1_1(1)* 52 to 53 labelled 2_1(1)* 53 to 54 labelled 0_1(1)* 54 to 55 labelled 1_1(1)* 55 to 24 labelled 2_1(1)* 55 to 33 labelled 2_1(1)* 65 to 66 labelled 2_1(1)* 66 to 67 labelled 1_1(1)* 67 to 68 labelled 1_1(1)* 68 to 69 labelled 0_1(1)* 69 to 70 labelled 1_1(1)* 70 to 71 labelled 2_1(1)* 71 to 72 labelled 0_1(1)* 72 to 73 labelled 1_1(1)* 73 to 74 labelled 2_1(1)* 74 to 75 labelled 0_1(1)* 75 to 76 labelled 1_1(1)* 76 to 24 labelled 2_1(1)* 76 to 33 labelled 2_1(1)* 110 to 111 labelled 2_1(1)* 111 to 112 labelled 1_1(1)* 112 to 113 labelled 1_1(1)* 113 to 114 labelled 0_1(1)* 114 to 115 labelled 1_1(1)* 115 to 116 labelled 2_1(1)* 116 to 117 labelled 0_1(1)* 117 to 118 labelled 1_1(1)* 118 to 47 labelled 2_1(1)* 118 to 65 labelled 2_1(1)* 119 to 120 labelled 2_1(1)* 120 to 121 labelled 1_1(1)* 121 to 122 labelled 1_1(1)* 122 to 123 labelled 0_1(1)* 123 to 124 labelled 1_1(1)* 124 to 125 labelled 2_1(1)* 125 to 126 labelled 0_1(1)* 126 to 127 labelled 1_1(1)* 127 to 128 labelled 2_1(1)* 128 to 129 labelled 0_1(1)* 129 to 130 labelled 1_1(1)* 130 to 47 labelled 2_1(1)* 130 to 65 labelled 2_1(1)* 132 to 134 labelled 2_1(2)* 134 to 136 labelled 1_1(2)* 136 to 138 labelled 1_1(2)* 138 to 140 labelled 0_1(2)* 140 to 142 labelled 1_1(2)* 142 to 144 labelled 2_1(2)* 144 to 146 labelled 0_1(2)* 146 to 148 labelled 1_1(2)* 148 to 24 labelled 2_1(2)* 148 to 33 labelled 2_1(2)* 153 to 155 labelled 2_1(2)* 155 to 157 labelled 1_1(2)* 157 to 159 labelled 1_1(2)* 159 to 161 labelled 0_1(2)* 161 to 163 labelled 1_1(2)* 163 to 165 labelled 2_1(2)* 165 to 167 labelled 0_1(2)* 167 to 169 labelled 1_1(2)* 169 to 170 labelled 2_1(2)* 170 to 171 labelled 0_1(2)* 171 to 172 labelled 1_1(2)* 172 to 24 labelled 2_1(2)* 172 to 33 labelled 2_1(2)* 173 to 174 labelled 2_1(2)* 174 to 175 labelled 1_1(2)* 175 to 176 labelled 1_1(2)* 176 to 177 labelled 0_1(2)* 177 to 178 labelled 1_1(2)* 178 to 179 labelled 2_1(2)* 179 to 180 labelled 0_1(2)* 180 to 181 labelled 1_1(2)* 181 to 132 labelled 2_1(2)* 181 to 153 labelled 2_1(2)* 182 to 183 labelled 2_1(2)* 183 to 184 labelled 1_1(2)* 184 to 185 labelled 1_1(2)* 185 to 186 labelled 0_1(2)* 186 to 187 labelled 1_1(2)* 187 to 188 labelled 2_1(2)* 188 to 189 labelled 0_1(2)* 189 to 190 labelled 1_1(2)* 190 to 191 labelled 2_1(2)* 191 to 192 labelled 0_1(2)* 192 to 193 labelled 1_1(2)* 193 to 132 labelled 2_1(2)* 193 to 153 labelled 2_1(2) ---------------------------------------- (2) YES popout

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

job log

popout

actions

all output return to SRS Standard