details

property	value
status	complete
benchmark	z095.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n115.star.cs.uiowa.edu
space	Zantema_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.75558 seconds
cpu usage	3.61181
user time	3.45711
system time	0.154705
max virtual memory	1.900956E7
max residence set size	256948.0

stage attributes

key	value
starexec-result	YES

output

3.37/1.71 YES 3.37/1.73 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 3.37/1.73 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.37/1.73 3.37/1.73 3.37/1.73 Termination w.r.t. Q of the given QTRS could be proven: 3.37/1.73 3.37/1.73 (0) QTRS 3.37/1.73 (1) RFCMatchBoundsTRSProof [EQUIVALENT, 20 ms] 3.37/1.73 (2) YES 3.37/1.73 3.37/1.73 3.37/1.73 ---------------------------------------- 3.37/1.73 3.37/1.73 (0) 3.37/1.73 Obligation: 3.37/1.73 Q restricted rewrite system: 3.37/1.73 The TRS R consists of the following rules: 3.37/1.73 3.37/1.73 a(a(b(b(x1)))) -> b(b(b(a(a(a(a(a(x1)))))))) 3.37/1.73 3.37/1.73 Q is empty. 3.37/1.73 3.37/1.73 ---------------------------------------- 3.37/1.73 3.37/1.73 (1) RFCMatchBoundsTRSProof (EQUIVALENT) 3.37/1.73 Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 3. This implies Q-termination of R. 3.37/1.73 The following rules were used to construct the certificate: 3.37/1.73 3.37/1.73 a(a(b(b(x1)))) -> b(b(b(a(a(a(a(a(x1)))))))) 3.37/1.73 3.37/1.73 The certificate found is represented by the following graph. 3.37/1.73 The certificate consists of the following enumerated nodes: 3.37/1.73 1, 2, 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, 53, 55, 56, 57, 58, 59, 60, 75, 76, 77, 78, 79, 80, 81, 96, 97, 98, 99, 100, 101, 102, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165 3.37/1.73 3.37/1.73 Node 1 is start node and node 2 is final node. 3.37/1.73 3.37/1.73 Those nodes are connected through the following edges: 3.37/1.73 3.37/1.73 * 1 to 5 labelled b_1(0)* 2 to 2 labelled #_1(0)* 5 to 6 labelled b_1(0)* 6 to 7 labelled b_1(0)* 7 to 8 labelled a_1(0)* 7 to 26 labelled b_1(1)* 8 to 9 labelled a_1(0)* 8 to 19 labelled b_1(1)* 9 to 10 labelled a_1(0)* 9 to 19 labelled b_1(1)* 10 to 11 labelled a_1(0)* 10 to 12 labelled b_1(1)* 11 to 2 labelled a_1(0)* 11 to 12 labelled b_1(1)* 12 to 13 labelled b_1(1)* 13 to 14 labelled b_1(1)* 14 to 15 labelled a_1(1)* 14 to 53 labelled b_1(2)* 15 to 16 labelled a_1(1)* 15 to 33 labelled b_1(2)* 16 to 17 labelled a_1(1)* 16 to 33 labelled b_1(2)* 17 to 18 labelled a_1(1)* 17 to 12 labelled b_1(1)* 18 to 2 labelled a_1(1)* 18 to 12 labelled b_1(1)* 19 to 20 labelled b_1(1)* 20 to 21 labelled b_1(1)* 21 to 22 labelled a_1(1)* 22 to 23 labelled a_1(1)* 22 to 96 labelled b_1(2)* 23 to 24 labelled a_1(1)* 24 to 25 labelled a_1(1)* 24 to 75 labelled b_1(2)* 25 to 13 labelled a_1(1)* 26 to 27 labelled b_1(1)* 27 to 28 labelled b_1(1)* 28 to 29 labelled a_1(1)* 29 to 30 labelled a_1(1)* 30 to 31 labelled a_1(1)* 31 to 32 labelled a_1(1)* 32 to 20 labelled a_1(1)* 33 to 34 labelled b_1(2)* 34 to 35 labelled b_1(2)* 35 to 36 labelled a_1(2)* 36 to 37 labelled a_1(2)* 36 to 145 labelled b_1(3)* 37 to 38 labelled a_1(2)* 38 to 39 labelled a_1(2)* 38 to 75 labelled b_1(2)* 39 to 13 labelled a_1(2)* 53 to 55 labelled b_1(2)* 55 to 56 labelled b_1(2)* 56 to 57 labelled a_1(2)* 57 to 58 labelled a_1(2)* 58 to 59 labelled a_1(2)* 59 to 60 labelled a_1(2)* 60 to 34 labelled a_1(2)* 75 to 76 labelled b_1(2)* 76 to 77 labelled b_1(2)* 77 to 78 labelled a_1(2)* 78 to 79 labelled a_1(2)* 78 to 159 labelled b_1(3)* 79 to 80 labelled a_1(2)* 80 to 81 labelled a_1(2)* 80 to 152 labelled b_1(3)* 81 to 53 labelled a_1(2)* 96 to 97 labelled b_1(2)* 97 to 98 labelled b_1(2)* 98 to 99 labelled a_1(2)* 99 to 100 labelled a_1(2)* 100 to 101 labelled a_1(2)* 101 to 102 labelled a_1(2)* 102 to 76 labelled a_1(2)* 145 to 146 labelled b_1(3)* 146 to 147 labelled b_1(3)* 147 to 148 labelled a_1(3)* 148 to 149 labelled a_1(3)* 149 to 150 labelled a_1(3)* 150 to 151 labelled a_1(3)* 151 to 76 labelled a_1(3)* 152 to 153 labelled b_1(3)* 153 to 154 labelled b_1(3)* 154 to 155 labelled a_1(3)* 155 to 156 labelled a_1(3)* 156 to 157 labelled a_1(3)* 157 to 158 labelled a_1(3)* 158 to 56 labelled a_1(3)* 159 to 160 labelled b_1(3)* 160 to 161 labelled b_1(3)* 161 to 162 labelled a_1(3)* 162 to 163 labelled a_1(3)* 163 to 164 labelled a_1(3)* 164 to 165 labelled a_1(3)* 165 to 153 labelled a_1(3) 3.37/1.73 3.37/1.73 3.37/1.73 ---------------------------------------- 3.37/1.73 3.37/1.73 (2) 3.37/1.73 YES 3.37/1.75 EOF popout

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all output return to SRS_Standard 2019-03-29 03.29