details

property	value
status	complete
benchmark	z027.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n143.star.cs.uiowa.edu
space	Zantema_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.73911 seconds
cpu usage	3.61672
user time	3.43474
system time	0.181975
max virtual memory	1.8876916E7
max residence set size	270540.0

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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] (2) YES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: b(a(b(a(a(x1))))) -> a(a(a(b(a(b(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: b(a(b(a(a(x1))))) -> a(a(a(b(a(b(a(b(x1)))))))) The certificate found is represented by the following graph. The certificate consists of the following enumerated nodes: 1, 3, 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, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144 Node 1 is start node and node 3 is final node. Those nodes are connected through the following edges: * 1 to 75 labelled a_1(0)* 3 to 3 labelled #_1(0)* 75 to 76 labelled a_1(0)* 76 to 77 labelled a_1(0)* 77 to 78 labelled b_1(0)* 77 to 89 labelled a_1(1)* 78 to 79 labelled a_1(0)* 79 to 80 labelled b_1(0)* 79 to 82 labelled a_1(1)* 80 to 81 labelled a_1(0)* 81 to 3 labelled b_1(0)* 81 to 82 labelled a_1(1)* 82 to 83 labelled a_1(1)* 83 to 84 labelled a_1(1)* 84 to 85 labelled b_1(1)* 84 to 96 labelled a_1(2)* 85 to 86 labelled a_1(1)* 86 to 87 labelled b_1(1)* 86 to 82 labelled a_1(1)* 87 to 88 labelled a_1(1)* 88 to 3 labelled b_1(1)* 88 to 82 labelled a_1(1)* 89 to 90 labelled a_1(1)* 90 to 91 labelled a_1(1)* 91 to 92 labelled b_1(1)* 92 to 93 labelled a_1(1)* 93 to 94 labelled b_1(1)* 93 to 103 labelled a_1(2)* 94 to 95 labelled a_1(1)* 95 to 82 labelled b_1(1)* 96 to 97 labelled a_1(2)* 97 to 98 labelled a_1(2)* 98 to 99 labelled b_1(2)* 99 to 100 labelled a_1(2)* 100 to 101 labelled b_1(2)* 100 to 103 labelled a_1(2)* 101 to 102 labelled a_1(2)* 102 to 82 labelled b_1(2)* 103 to 104 labelled a_1(2)* 104 to 105 labelled a_1(2)* 105 to 106 labelled b_1(2)* 106 to 107 labelled a_1(2)* 107 to 108 labelled b_1(2)* 107 to 110 labelled a_1(3)* 108 to 109 labelled a_1(2)* 109 to 84 labelled b_1(2)* 110 to 111 labelled a_1(3)* 111 to 112 labelled a_1(3)* 112 to 113 labelled b_1(3)* 112 to 124 labelled a_1(4)* 113 to 114 labelled a_1(3)* 114 to 115 labelled b_1(3)* 115 to 116 labelled a_1(3)* 116 to 97 labelled b_1(3)* 116 to 117 labelled a_1(3)* 117 to 118 labelled a_1(3)* 118 to 119 labelled a_1(3)* 119 to 120 labelled b_1(3)* 120 to 121 labelled a_1(3)* 121 to 122 labelled b_1(3)* 121 to 131 labelled a_1(3)* 122 to 123 labelled a_1(3)* 123 to 103 labelled b_1(3)* 124 to 125 labelled a_1(4)* 125 to 126 labelled a_1(4)* 126 to 127 labelled b_1(4)* 127 to 128 labelled a_1(4)* 128 to 129 labelled b_1(4)* 128 to 138 labelled a_1(4)* 129 to 130 labelled a_1(4)* 130 to 117 labelled b_1(4)* 131 to 132 labelled a_1(3)* 132 to 133 labelled a_1(3)* 133 to 134 labelled b_1(3)* 134 to 135 labelled a_1(3)* 135 to 136 labelled b_1(3)* 136 to 137 labelled a_1(3)* 137 to 105 labelled b_1(3)* 138 to 139 labelled a_1(4)* 139 to 140 labelled a_1(4)* 140 to 141 labelled b_1(4)* 141 to 142 labelled a_1(4)* 142 to 143 labelled b_1(4)* 143 to 144 labelled a_1(4)* 144 to 119 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