details

property	value
status	complete
benchmark	z036.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n142.star.cs.uiowa.edu
space	Zantema_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.61178 seconds
cpu usage	3.75399
user time	3.58947
system time	0.164517
max virtual memory	1.84781E7
max residence set size	261940.0

stage attributes

key	value
starexec-result	YES

output

YES proof of /export/starexec/sandbox/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRS Reverse [EQUIVALENT, 0 ms] (2) QTRS (3) RFCMatchBoundsTRSProof [EQUIVALENT, 4 ms] (4) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: b(a(a(a(b(a(a(x1))))))) -> a(a(a(b(b(a(a(a(b(x1))))))))) Q is empty. ---------------------------------------- (1) QTRS Reverse (EQUIVALENT) We applied the QTRS Reverse Processor [REVERSE]. ---------------------------------------- (2) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a(a(b(a(a(a(b(x1))))))) -> b(a(a(a(b(b(a(a(a(x1))))))))) Q is empty. ---------------------------------------- (3) 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: a(a(b(a(a(a(b(x1))))))) -> b(a(a(a(b(b(a(a(a(x1))))))))) The certificate found is represented by the following graph. The certificate consists of the following enumerated nodes: 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 Node 83 is start node and node 84 is final node. Those nodes are connected through the following edges: * 83 to 85 labelled b_1(0)* 84 to 84 labelled #_1(0)* 85 to 86 labelled a_1(0)* 86 to 87 labelled a_1(0)* 87 to 88 labelled a_1(0)* 88 to 89 labelled b_1(0)* 89 to 90 labelled b_1(0)* 90 to 91 labelled a_1(0)* 90 to 101 labelled b_1(1)* 91 to 92 labelled a_1(0)* 91 to 93 labelled b_1(1)* 92 to 84 labelled a_1(0)* 92 to 93 labelled b_1(1)* 93 to 94 labelled a_1(1)* 94 to 95 labelled a_1(1)* 95 to 96 labelled a_1(1)* 96 to 97 labelled b_1(1)* 97 to 98 labelled b_1(1)* 98 to 99 labelled a_1(1)* 98 to 109 labelled b_1(2)* 99 to 100 labelled a_1(1)* 99 to 93 labelled b_1(1)* 100 to 84 labelled a_1(1)* 100 to 93 labelled b_1(1)* 101 to 102 labelled a_1(1)* 102 to 103 labelled a_1(1)* 103 to 104 labelled a_1(1)* 104 to 105 labelled b_1(1)* 105 to 106 labelled b_1(1)* 106 to 107 labelled a_1(1)* 107 to 108 labelled a_1(1)* 107 to 93 labelled b_1(1)* 108 to 97 labelled a_1(1)* 109 to 110 labelled a_1(2)* 110 to 111 labelled a_1(2)* 111 to 112 labelled a_1(2)* 112 to 113 labelled b_1(2)* 113 to 114 labelled b_1(2)* 114 to 115 labelled a_1(2)* 115 to 116 labelled a_1(2)* 115 to 93 labelled b_1(1)* 116 to 97 labelled a_1(2) ---------------------------------------- (4) YES popout

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job log

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all output return to SRS Standard