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	n037.star.cs.uiowa.edu
space	Secret_05_SRS

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.69431114197 seconds
cpu usage	3.64672503
max memory	2.0097024E8

stage attributes

key	value
output-size	5432
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRS Reverse [EQUIVALENT, 0 ms] (2) QTRS (3) RFCMatchBoundsTRSProof [EQUIVALENT, 22 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: 13, 14, 15, 16, 17, 18, 19, 20, 21, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 75, 76, 79, 80 Node 13 is start node and node 14 is final node. Those nodes are connected through the following edges: * 13 to 15 labelled b_1(0), a_1(0)* 13 to 16 labelled b_1(0), c_1(0)* 13 to 18 labelled a_1(1)* 13 to 19 labelled b_1(1)* 13 to 33 labelled a_1(2)* 13 to 44 labelled c_1(1)* 13 to 46 labelled c_1(2)* 13 to 48 labelled b_1(1)* 13 to 50 labelled b_1(2)* 13 to 51 labelled b_1(3)* 13 to 52 labelled a_1(3)* 13 to 53 labelled a_1(4)* 14 to 14 labelled #_1(0)* 15 to 14 labelled a_1(0)* 15 to 20 labelled c_1(1)* 15 to 34 labelled b_1(2)* 15 to 36 labelled a_1(3)* 16 to 17 labelled c_1(0)* 16 to 35 labelled b_1(1)* 16 to 37 labelled a_1(2)* 16 to 54 labelled b_1(2)* 16 to 62 labelled a_1(3)* 17 to 14 labelled a_1(0)* 17 to 20 labelled c_1(1)* 17 to 34 labelled b_1(2)* 17 to 36 labelled a_1(3)* 18 to 15 labelled a_1(1)* 18 to 16 labelled a_1(1)* 18 to 20 labelled c_1(1)* 18 to 34 labelled b_1(2)* 18 to 36 labelled a_1(3)* 18 to 46 labelled c_1(2)* 18 to 51 labelled b_1(3)* 18 to 53 labelled a_1(4)* 19 to 17 labelled a_1(1)* 19 to 46 labelled c_1(2)* 19 to 51 labelled b_1(3)* 19 to 53 labelled a_1(4)* 20 to 21 labelled c_1(1)* 20 to 38 labelled b_1(2)* 20 to 41 labelled a_1(3)* 20 to 56 labelled b_1(3)* 20 to 63 labelled a_1(4)* 21 to 14 labelled a_1(1)* 21 to 20 labelled c_1(1)* 21 to 34 labelled b_1(2)* 21 to 36 labelled a_1(3), a_1(1)* 33 to 19 labelled a_1(2)* 33 to 48 labelled a_1(2)* 33 to 58 labelled c_1(2)* 33 to 64 labelled b_1(3)* 33 to 54 labelled c_1(2)* 33 to 66 labelled a_1(4)* 34 to 21 labelled a_1(2)* 34 to 46 labelled c_1(2)* 34 to 51 labelled b_1(3)* 34 to 53 labelled a_1(4)* 35 to 20 labelled a_1(1)* 35 to 39 labelled c_1(2)* 35 to 42 labelled b_1(3)* 35 to 43 labelled a_1(4)* 36 to 34 labelled a_1(3)* 37 to 35 labelled a_1(2)* 37 to 60 labelled c_1(3)* 37 to 65 labelled b_1(4)* 37 to 67 labelled a_1(5)* 38 to 20 labelled a_1(2)* 38 to 39 labelled c_1(2)* 38 to 42 labelled b_1(3)* 38 to 43 labelled a_1(4)* 39 to 40 labelled c_1(2)* 39 to 38 labelled b_1(2)* 39 to 41 labelled a_1(3)* 39 to 56 labelled b_1(3)* 39 to 63 labelled a_1(4)* 40 to 14 labelled a_1(2)* 40 to 20 labelled c_1(1)* 40 to 34 labelled b_1(2)* 40 to 36 labelled a_1(2), a_1(3)* 41 to 38 labelled a_1(3)* 41 to 60 labelled c_1(3)* 41 to 65 labelled b_1(4)* 41 to 67 labelled a_1(5)* 42 to 40 labelled a_1(3)* 42 to 46 labelled c_1(2)* 42 to 51 labelled b_1(3)* 42 to 53 labelled a_1(4)* 43 to 42 labelled a_1(4)* 44 to 45 labelled c_1(1)* 45 to 41 labelled a_1(1)* 45 to 63 labelled a_1(1)* 46 to 47 labelled c_1(2)* 47 to 41 labelled a_1(2)* 47 to 63 labelled a_1(2)* 48 to 49 labelled c_1(1)* 49 to 42 labelled a_1(1)* 49 to 51 labelled a_1(1)* 50 to 45 labelled a_1(2)* 51 to 47 labelled a_1(3)* 52 to 50 labelled a_1(3)* 53 to 51 labelled a_1(4)* 54 to 55 labelled c_1(2)* 55 to 51 labelled a_1(2)* 56 to 57 labelled c_1(3)* 57 to 51 labelled a_1(3)* 58 to 59 labelled c_1(2)* 59 to 42 labelled a_1(2)* 60 to 61 labelled c_1(3)* 61 to 41 labelled a_1(3)* 61 to 63 labelled a_1(3)* 62 to 54 labelled a_1(3)* 62 to 56 labelled c_1(3)* 62 to 75 labelled b_1(4)* 62 to 79 labelled a_1(5)* 63 to 56 labelled a_1(4)* 63 to 68 labelled c_1(4)* 63 to 76 labelled b_1(5)* 63 to 80 labelled a_1(6)* 64 to 59 labelled a_1(3)* 64 to 55 labelled a_1(3)* 65 to 61 labelled a_1(4)* 66 to 64 labelled a_1(4)* 67 to 65 labelled a_1(5)* 68 to 69 labelled c_1(4)* 69 to 51 labelled a_1(4)* 75 to 57 labelled a_1(4)* 76 to 69 labelled a_1(5)* 79 to 75 labelled a_1(5)* 80 to 76 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 Stand 10685