details

property	value
status	complete
benchmark	z034.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n184.star.cs.uiowa.edu
space	Zantema_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.81616 seconds
cpu usage	4.02649
user time	3.82347
system time	0.203017
max virtual memory	1.9073748E7
max residence set size	293616.0

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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRS Reverse [EQUIVALENT, 0 ms] (2) QTRS (3) RFCMatchBoundsTRSProof [EQUIVALENT, 2 ms] (4) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: b(a(a(b(a(x1))))) -> a(a(b(b(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(b(a(a(b(x1))))) -> b(a(a(b(b(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(b(a(a(b(x1))))) -> b(a(a(b(b(a(a(x1))))))) The certificate found is represented by the following graph. The certificate consists of the following enumerated nodes: 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148 Node 123 is start node and node 124 is final node. Those nodes are connected through the following edges: * 123 to 125 labelled b_1(0)* 124 to 124 labelled #_1(0)* 125 to 126 labelled a_1(0)* 126 to 127 labelled a_1(0)* 127 to 128 labelled b_1(0)* 128 to 129 labelled b_1(0)* 129 to 130 labelled a_1(0)* 129 to 137 labelled b_1(1)* 130 to 124 labelled a_1(0)* 130 to 131 labelled b_1(1)* 131 to 132 labelled a_1(1)* 132 to 133 labelled a_1(1)* 133 to 134 labelled b_1(1)* 134 to 135 labelled b_1(1)* 135 to 136 labelled a_1(1)* 135 to 143 labelled b_1(2)* 136 to 124 labelled a_1(1)* 136 to 131 labelled b_1(1)* 137 to 138 labelled a_1(1)* 138 to 139 labelled a_1(1)* 139 to 140 labelled b_1(1)* 140 to 141 labelled b_1(1)* 141 to 142 labelled a_1(1)* 141 to 143 labelled b_1(2)* 142 to 134 labelled a_1(1)* 142 to 131 labelled b_1(1)* 143 to 144 labelled a_1(2)* 144 to 145 labelled a_1(2)* 145 to 146 labelled b_1(2)* 146 to 147 labelled b_1(2)* 147 to 148 labelled a_1(2)* 147 to 143 labelled b_1(2)* 148 to 134 labelled a_1(2)* 148 to 131 labelled b_1(1) ---------------------------------------- (4) YES popout

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job log

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all output return to SRS Standard