details

property	value
status	complete
benchmark	jambox4.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n007.star.cs.uiowa.edu
space	Secret_05_SRS

run statistics

property	value
solver	AProVE21
configuration	standard
runtime (wallclock)	2.32399511337 seconds
cpu usage	6.397078112
max memory	5.98163456E8

stage attributes

key	value
output-size	5428
starexec-result	YES

output

/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: c69e44bd14796315568835c1ffa2502984884775 mhark 20210624 unpublished Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRS Reverse [EQUIVALENT, 0 ms] (2) QTRS (3) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] (4) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: c(c(x1)) -> a(b(x1)) b(x1) -> a(a(x1)) b(b(b(x1))) -> a(c(b(x1))) a(c(a(x1))) -> a(c(c(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: c(c(x1)) -> b(a(x1)) b(x1) -> a(a(x1)) b(b(b(x1))) -> b(c(a(x1))) a(c(a(x1))) -> c(c(a(x1))) Q is empty. ---------------------------------------- (3) RFCMatchBoundsTRSProof (EQUIVALENT) Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 6. This implies Q-termination of R. The following rules were used to construct the certificate: c(c(x1)) -> b(a(x1)) b(x1) -> a(a(x1)) b(b(b(x1))) -> b(c(a(x1))) a(c(a(x1))) -> c(c(a(x1))) The certificate found is represented by the following graph. The certificate consists of the following enumerated nodes: 24, 25, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 81 Node 24 is start node and node 25 is final node. Those nodes are connected through the following edges: * 24 to 31 labelled b_1(0), a_1(0)* 24 to 32 labelled b_1(0), c_1(0)* 24 to 34 labelled a_1(1)* 24 to 35 labelled b_1(1)* 24 to 38 labelled a_1(2)* 24 to 49 labelled c_1(1)* 24 to 51 labelled c_1(2)* 24 to 53 labelled b_1(1)* 24 to 55 labelled b_1(2)* 24 to 56 labelled b_1(3)* 24 to 59 labelled a_1(3)* 24 to 60 labelled a_1(4)* 25 to 25 labelled #_1(0)* 31 to 25 labelled a_1(0)* 31 to 36 labelled c_1(1)* 31 to 39 labelled b_1(2)* 31 to 41 labelled a_1(3)* 32 to 33 labelled c_1(0)* 32 to 40 labelled b_1(1)* 32 to 42 labelled a_1(2)* 32 to 61 labelled b_1(2)* 32 to 69 labelled a_1(3)* 33 to 25 labelled a_1(0)* 33 to 36 labelled c_1(1)* 33 to 39 labelled b_1(2)* 33 to 41 labelled a_1(3)* 34 to 31 labelled a_1(1)* 34 to 32 labelled a_1(1)* 34 to 36 labelled c_1(1)* 34 to 39 labelled b_1(2)* 34 to 41 labelled a_1(3)* 34 to 51 labelled c_1(2)* 34 to 56 labelled b_1(3)* 34 to 60 labelled a_1(4)* 35 to 33 labelled a_1(1)* 35 to 51 labelled c_1(2)* 35 to 56 labelled b_1(3)* 35 to 60 labelled a_1(4)* 36 to 37 labelled c_1(1)* 36 to 43 labelled b_1(2)* 36 to 46 labelled a_1(3)* 36 to 63 labelled b_1(3)* 36 to 70 labelled a_1(4)* 37 to 25 labelled a_1(1)* 37 to 36 labelled c_1(1)* 37 to 39 labelled b_1(2)* 37 to 41 labelled a_1(3), a_1(1)* 38 to 35 labelled a_1(2)* 38 to 53 labelled a_1(2)* 38 to 65 labelled c_1(2)* 38 to 71 labelled b_1(3)* 38 to 61 labelled c_1(2)* 38 to 73 labelled a_1(4)* 39 to 37 labelled a_1(2)* 39 to 51 labelled c_1(2)* 39 to 56 labelled b_1(3)* 39 to 60 labelled a_1(4)* 40 to 36 labelled a_1(1)* 40 to 44 labelled c_1(2)* 40 to 47 labelled b_1(3)* 40 to 48 labelled a_1(4)* 41 to 39 labelled a_1(3)* 42 to 40 labelled a_1(2)* 42 to 67 labelled c_1(3)* 42 to 72 labelled b_1(4)* 42 to 74 labelled a_1(5)* 43 to 36 labelled a_1(2)* 43 to 44 labelled c_1(2)* 43 to 47 labelled b_1(3)* 43 to 48 labelled a_1(4)* 44 to 45 labelled c_1(2)* 44 to 43 labelled b_1(2)* 44 to 46 labelled a_1(3)* 44 to 63 labelled b_1(3)* 44 to 70 labelled a_1(4)* 45 to 25 labelled a_1(2)* 45 to 36 labelled c_1(1)* 45 to 39 labelled b_1(2)* 45 to 41 labelled a_1(2), a_1(3)* 46 to 43 labelled a_1(3)* 46 to 67 labelled c_1(3)* 46 to 72 labelled b_1(4)* 46 to 74 labelled a_1(5)* 47 to 45 labelled a_1(3)* 47 to 51 labelled c_1(2)* 47 to 56 labelled b_1(3)* 47 to 60 labelled a_1(4)* 48 to 47 labelled a_1(4)* 49 to 50 labelled c_1(1)* 50 to 46 labelled a_1(1)* 50 to 70 labelled a_1(1)* 51 to 52 labelled c_1(2)* 52 to 46 labelled a_1(2)* 52 to 70 labelled a_1(2)* 53 to 54 labelled c_1(1)* 54 to 47 labelled a_1(1)* 54 to 56 labelled a_1(1)* 55 to 50 labelled a_1(2)* 56 to 52 labelled a_1(3)* 59 to 55 labelled a_1(3)* 60 to 56 labelled a_1(4)* 61 to 62 labelled c_1(2)* 62 to 56 labelled a_1(2)* 63 to 64 labelled c_1(3)* 64 to 56 labelled a_1(3)* 65 to 66 labelled c_1(2)* 66 to 47 labelled a_1(2)* 67 to 68 labelled c_1(3)* 68 to 46 labelled a_1(3)* 68 to 70 labelled a_1(3)* 69 to 61 labelled a_1(3)* 69 to 63 labelled c_1(3)* 69 to 77 labelled b_1(4)* 69 to 79 labelled a_1(5)* 70 to 63 labelled a_1(4)* 70 to 75 labelled c_1(4)* 70 to 78 labelled b_1(5)* 70 to 81 labelled a_1(6)* 71 to 66 labelled a_1(3)* 71 to 62 labelled a_1(3)* 72 to 68 labelled a_1(4)* 73 to 71 labelled a_1(4)* 74 to 72 labelled a_1(5)* 75 to 76 labelled c_1(4)* 76 to 56 labelled a_1(4)* 77 to 64 labelled a_1(4)* 78 to 76 labelled a_1(5)* 79 to 77 labelled a_1(5)* 81 to 78 labelled a_1(6) ---------------------------------------- (4) YES popout

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

job log

popout

actions

all output return to SRS Standard