details

property	value
status	complete
benchmark	z051.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n174.star.cs.uiowa.edu
space	Zantema_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.73070502281 seconds
cpu usage	3.418495723
max memory	2.35835392E8

stage attributes

key	value
output-size	2577
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] (2) YES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(a(b(b(x1))))) -> a(a(b(b(b(a(a(x1))))))) Q is empty. ---------------------------------------- (1) 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: b(a(a(b(b(x1))))) -> a(a(b(b(b(a(a(x1))))))) The certificate found is represented by the following graph. The certificate consists of the following enumerated nodes: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52 Node 1 is start node and node 2 is final node. Those nodes are connected through the following edges: * 1 to 3 labelled a_1(0)* 2 to 2 labelled #_1(0)* 3 to 4 labelled a_1(0)* 4 to 5 labelled b_1(0)* 4 to 35 labelled a_1(1)* 5 to 6 labelled b_1(0)* 5 to 29 labelled a_1(1)* 6 to 7 labelled b_1(0)* 6 to 9 labelled a_1(1)* 7 to 8 labelled a_1(0)* 8 to 2 labelled a_1(0)* 9 to 10 labelled a_1(1)* 10 to 11 labelled b_1(1)* 10 to 47 labelled a_1(2)* 11 to 12 labelled b_1(1)* 11 to 41 labelled a_1(2)* 12 to 13 labelled b_1(1)* 12 to 9 labelled a_1(1)* 13 to 14 labelled a_1(1)* 14 to 2 labelled a_1(1)* 29 to 30 labelled a_1(1)* 30 to 31 labelled b_1(1)* 31 to 32 labelled b_1(1)* 32 to 33 labelled b_1(1)* 33 to 34 labelled a_1(1)* 34 to 12 labelled a_1(1)* 35 to 36 labelled a_1(1)* 36 to 37 labelled b_1(1)* 37 to 38 labelled b_1(1)* 38 to 39 labelled b_1(1)* 39 to 40 labelled a_1(1)* 40 to 32 labelled a_1(1)* 41 to 42 labelled a_1(2)* 42 to 43 labelled b_1(2)* 43 to 44 labelled b_1(2)* 44 to 45 labelled b_1(2)* 45 to 46 labelled a_1(2)* 46 to 12 labelled a_1(2)* 47 to 48 labelled a_1(2)* 48 to 49 labelled b_1(2)* 49 to 50 labelled b_1(2)* 50 to 51 labelled b_1(2)* 51 to 52 labelled a_1(2)* 52 to 44 labelled a_1(2) ---------------------------------------- (2) YES popout

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

job log

popout

actions

all output return to SRS Standard