details

property	value
status	complete
benchmark	z031.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n097.star.cs.uiowa.edu
space	Zantema_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.69037818909 seconds
cpu usage	3.818429984
max memory	2.02788864E8

stage attributes

key	value
output-size	3577
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) RFCMatchBoundsTRSProof [EQUIVALENT, 26 ms] (2) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: b(c(b(c(a(a(x1)))))) -> a(a(a(b(c(b(c(b(c(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(c(b(c(a(a(x1)))))) -> a(a(a(b(c(b(c(b(c(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, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100 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)* 2 to 2 labelled #_1(0)* 5 to 6 labelled a_1(0)* 6 to 7 labelled a_1(0)* 7 to 8 labelled b_1(0)* 7 to 21 labelled a_1(1)* 8 to 9 labelled c_1(0)* 9 to 10 labelled b_1(0)* 9 to 13 labelled a_1(1)* 10 to 11 labelled c_1(0)* 11 to 12 labelled b_1(0)* 11 to 13 labelled a_1(1)* 12 to 2 labelled c_1(0)* 13 to 14 labelled a_1(1)* 14 to 15 labelled a_1(1)* 15 to 16 labelled b_1(1)* 15 to 29 labelled a_1(2)* 16 to 17 labelled c_1(1)* 17 to 18 labelled b_1(1)* 17 to 13 labelled a_1(1)* 18 to 19 labelled c_1(1)* 19 to 20 labelled b_1(1)* 19 to 13 labelled a_1(1)* 20 to 2 labelled c_1(1)* 21 to 22 labelled a_1(1)* 22 to 23 labelled a_1(1)* 23 to 24 labelled b_1(1)* 24 to 25 labelled c_1(1)* 25 to 26 labelled b_1(1)* 25 to 37 labelled a_1(2)* 26 to 27 labelled c_1(1)* 27 to 28 labelled b_1(1)* 28 to 14 labelled c_1(1)* 29 to 30 labelled a_1(2)* 30 to 31 labelled a_1(2)* 31 to 32 labelled b_1(2)* 32 to 33 labelled c_1(2)* 33 to 34 labelled b_1(2)* 33 to 37 labelled a_1(2)* 34 to 35 labelled c_1(2)* 35 to 36 labelled b_1(2)* 36 to 14 labelled c_1(2)* 37 to 38 labelled a_1(2)* 38 to 39 labelled a_1(2)* 39 to 40 labelled b_1(2)* 40 to 41 labelled c_1(2)* 41 to 42 labelled b_1(2)* 41 to 45 labelled a_1(3)* 42 to 43 labelled c_1(2)* 43 to 44 labelled b_1(2)* 44 to 29 labelled c_1(2)* 45 to 46 labelled a_1(3)* 46 to 47 labelled a_1(3)* 47 to 48 labelled b_1(3)* 47 to 93 labelled a_1(4)* 48 to 49 labelled c_1(3)* 49 to 50 labelled b_1(3)* 50 to 51 labelled c_1(3)* 51 to 52 labelled b_1(3)* 51 to 85 labelled a_1(3)* 52 to 31 labelled c_1(3)* 85 to 86 labelled a_1(3)* 86 to 87 labelled a_1(3)* 87 to 88 labelled b_1(3)* 88 to 89 labelled c_1(3)* 89 to 90 labelled b_1(3)* 90 to 91 labelled c_1(3)* 91 to 92 labelled b_1(3)* 92 to 38 labelled c_1(3)* 93 to 94 labelled a_1(4)* 94 to 95 labelled a_1(4)* 95 to 96 labelled b_1(4)* 96 to 97 labelled c_1(4)* 97 to 98 labelled b_1(4)* 98 to 99 labelled c_1(4)* 99 to 100 labelled b_1(4)* 100 to 86 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