details

property	value
status	complete
benchmark	z088.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n109.star.cs.uiowa.edu
space	Zantema_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.71559405327 seconds
cpu usage	3.91495167
max memory	2.1348352E8

stage attributes

key	value
output-size	4256
starexec-result	YES

output

/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) RFCMatchBoundsTRSProof [EQUIVALENT, 10 ms] (2) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a(a(x1)) -> a(b(b(b(x1)))) b(a(x1)) -> b(b(c(x1))) a(b(b(c(x1)))) -> a(a(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: a(a(x1)) -> a(b(b(b(x1)))) b(a(x1)) -> b(b(c(x1))) a(b(b(c(x1)))) -> a(a(a(b(x1)))) The certificate found is represented by the following graph. The certificate consists of the following enumerated nodes: 1, 2, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 27, 28, 30, 33, 35, 36, 51, 52, 61, 62, 63, 66, 67, 88, 89, 98, 99, 100, 101, 102, 103, 109, 110, 111, 112 Node 1 is start node and node 2 is final node. Those nodes are connected through the following edges: * 1 to 5 labelled a_1(0)* 1 to 8 labelled b_1(0)* 1 to 10 labelled a_1(0)* 1 to 13 labelled a_1(1)* 2 to 2 labelled #_1(0)* 5 to 6 labelled b_1(0)* 6 to 7 labelled b_1(0)* 7 to 2 labelled b_1(0)* 7 to 16 labelled b_1(1)* 8 to 9 labelled b_1(0)* 9 to 2 labelled c_1(0)* 10 to 11 labelled a_1(0)* 10 to 18 labelled a_1(1)* 11 to 12 labelled a_1(0)* 11 to 21 labelled a_1(1)* 11 to 27 labelled a_1(2)* 12 to 2 labelled b_1(0)* 12 to 16 labelled b_1(1)* 13 to 14 labelled b_1(1)* 14 to 15 labelled b_1(1)* 15 to 11 labelled b_1(1)* 15 to 18 labelled b_1(1)* 15 to 24 labelled b_1(2)* 16 to 17 labelled b_1(1)* 17 to 2 labelled c_1(1)* 18 to 19 labelled b_1(1)* 19 to 20 labelled b_1(1)* 19 to 12 labelled c_1(1)* 20 to 12 labelled b_1(1)* 20 to 21 labelled b_1(1)* 20 to 27 labelled b_1(1)* 20 to 51 labelled b_1(2)* 21 to 22 labelled a_1(1)* 21 to 33 labelled a_1(2)* 22 to 23 labelled a_1(1)* 22 to 21 labelled a_1(1)* 22 to 27 labelled a_1(2)* 22 to 61 labelled a_1(2)* 22 to 98 labelled a_1(3)* 23 to 2 labelled b_1(1)* 23 to 16 labelled b_1(1)* 24 to 25 labelled b_1(2)* 25 to 21 labelled c_1(2)* 25 to 27 labelled c_1(2)* 27 to 28 labelled b_1(2)* 28 to 30 labelled b_1(2)* 30 to 22 labelled b_1(2)* 30 to 33 labelled b_1(2)* 30 to 24 labelled b_1(2)* 30 to 88 labelled b_1(3)* 33 to 35 labelled b_1(2)* 35 to 36 labelled b_1(2)* 35 to 23 labelled c_1(2)* 36 to 23 labelled b_1(2)* 36 to 21 labelled b_1(2)* 36 to 51 labelled b_1(2)* 36 to 66 labelled b_1(3)* 36 to 27 labelled b_1(2)* 36 to 61 labelled b_1(2)* 36 to 98 labelled b_1(2)* 51 to 52 labelled b_1(2)* 52 to 22 labelled c_1(2)* 52 to 33 labelled c_1(2)* 61 to 62 labelled a_1(2)* 61 to 101 labelled a_1(3)* 61 to 33 labelled a_1(2)* 62 to 63 labelled a_1(2)* 62 to 21 labelled a_1(1)* 62 to 27 labelled a_1(2)* 62 to 61 labelled a_1(2)* 62 to 98 labelled a_1(3)* 63 to 2 labelled b_1(2)* 63 to 16 labelled b_1(1)* 66 to 67 labelled b_1(3)* 67 to 33 labelled c_1(3)* 67 to 62 labelled c_1(3)* 67 to 101 labelled c_1(3)* 88 to 89 labelled b_1(3)* 89 to 27 labelled c_1(3)* 89 to 61 labelled c_1(3)* 89 to 98 labelled c_1(3)* 98 to 99 labelled b_1(3)* 99 to 100 labelled b_1(3)* 100 to 62 labelled b_1(3)* 100 to 101 labelled b_1(3)* 100 to 24 labelled b_1(2)* 100 to 33 labelled b_1(3)* 100 to 88 labelled b_1(3)* 100 to 111 labelled b_1(4)* 101 to 102 labelled b_1(3)* 102 to 103 labelled b_1(3)* 102 to 63 labelled c_1(3)* 103 to 63 labelled b_1(3)* 103 to 27 labelled b_1(3)* 103 to 61 labelled b_1(3)* 103 to 66 labelled b_1(3)* 103 to 109 labelled b_1(4)* 103 to 98 labelled b_1(3)* 109 to 110 labelled b_1(4)* 110 to 101 labelled c_1(4)* 111 to 112 labelled b_1(4)* 112 to 98 labelled c_1(4) ---------------------------------------- (2) YES popout

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

job log

popout

actions

all output return to SRS Stand 10685