details

property	value
status	complete
benchmark	torpa1.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n149.star.cs.uiowa.edu
space	Secret_05_SRS

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.72125 seconds
cpu usage	4.13393
user time	3.9554
system time	0.178532
max virtual memory	1.9141344E7
max residence set size	301504.0

stage attributes

key	value
starexec-result	YES

output

YES proof of /export/starexec/sandbox2/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) RFCMatchBoundsTRSProof [EQUIVALENT, 24 ms] (2) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a(d(x1)) -> d(b(c(b(d(x1))))) a(x1) -> b(b(f(b(b(x1))))) b(d(b(x1))) -> a(d(x1)) d(f(x1)) -> b(d(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(d(x1)) -> d(b(c(b(d(x1))))) a(x1) -> b(b(f(b(b(x1))))) b(d(b(x1))) -> a(d(x1)) d(f(x1)) -> b(d(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, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 136, 137, 138, 139, 140, 141, 142, 143 Node 1 is start node and node 2 is final node. Those nodes are connected through the following edges: * 1 to 3 labelled d_1(0)* 1 to 7 labelled b_1(0)* 1 to 6 labelled a_1(0), b_1(0)* 1 to 11 labelled b_1(1)* 1 to 15 labelled d_1(1)* 1 to 18 labelled a_1(1)* 1 to 19 labelled b_1(2)* 1 to 23 labelled d_1(2)* 1 to 86 labelled a_1(1)* 1 to 87 labelled b_1(2)* 1 to 91 labelled d_1(2)* 2 to 2 labelled #_1(0)* 3 to 4 labelled b_1(0)* 4 to 5 labelled c_1(0)* 5 to 6 labelled b_1(0)* 5 to 18 labelled a_1(1)* 5 to 19 labelled b_1(2)* 5 to 23 labelled d_1(2)* 5 to 86 labelled a_1(1)* 5 to 87 labelled b_1(2)* 5 to 91 labelled d_1(2)* 6 to 2 labelled d_1(0)* 6 to 18 labelled b_1(1), a_1(1)* 6 to 19 labelled b_1(2)* 6 to 23 labelled d_1(2)* 6 to 94 labelled a_1(2)* 6 to 95 labelled b_1(3)* 6 to 99 labelled d_1(3)* 6 to 91 labelled d_1(2)* 7 to 8 labelled b_1(0)* 8 to 9 labelled f_1(0)* 9 to 10 labelled b_1(0)* 9 to 86 labelled a_1(1)* 9 to 87 labelled b_1(2)* 9 to 91 labelled d_1(2)* 9 to 18 labelled a_1(1)* 9 to 19 labelled b_1(2)* 9 to 23 labelled d_1(2)* 10 to 2 labelled b_1(0)* 10 to 18 labelled a_1(1)* 10 to 19 labelled b_1(2)* 10 to 23 labelled d_1(2)* 10 to 91 labelled d_1(2)* 11 to 12 labelled b_1(1)* 12 to 13 labelled f_1(1)* 13 to 14 labelled b_1(1)* 13 to 94 labelled a_1(2)* 13 to 95 labelled b_1(3)* 13 to 99 labelled d_1(3)* 14 to 6 labelled b_1(1)* 14 to 18 labelled a_1(1)* 14 to 19 labelled b_1(2)* 14 to 23 labelled d_1(2)* 14 to 94 labelled a_1(2)* 14 to 95 labelled b_1(3)* 14 to 99 labelled d_1(3)* 14 to 91 labelled d_1(2)* 15 to 16 labelled b_1(1)* 16 to 17 labelled c_1(1)* 17 to 18 labelled b_1(1), a_1(1)* 17 to 19 labelled b_1(2)* 17 to 23 labelled d_1(2)* 17 to 94 labelled a_1(2)* 17 to 95 labelled b_1(3)* 17 to 99 labelled d_1(3)* 17 to 91 labelled d_1(2)* 18 to 2 labelled d_1(1)* 18 to 18 labelled b_1(1), a_1(1)* 18 to 19 labelled b_1(2)* 18 to 23 labelled d_1(1), d_1(2)* 18 to 94 labelled a_1(2)* 18 to 95 labelled b_1(3)* 18 to 99 labelled d_1(3), d_1(1)* 18 to 100 labelled d_1(1)* 18 to 91 labelled d_1(2), d_1(1)* 18 to 92 labelled d_1(1)* 19 to 20 labelled b_1(2)* 20 to 21 labelled f_1(2)* 21 to 22 labelled b_1(2)* 21 to 102 labelled a_1(3)* 21 to 136 labelled b_1(4)* 21 to 140 labelled d_1(4)* 22 to 18 labelled b_1(2), a_1(1)* 22 to 19 labelled b_1(2)* 22 to 23 labelled d_1(2)* 22 to 94 labelled a_1(2)* 22 to 102 labelled a_1(3)* 22 to 95 labelled b_1(3)* 22 to 136 labelled b_1(4)* 22 to 99 labelled d_1(3)* 22 to 140 labelled d_1(4)* 22 to 91 labelled d_1(2)* 23 to 24 labelled b_1(2)* 24 to 25 labelled c_1(2)* 25 to 26 labelled b_1(2)* 25 to 18 labelled a_1(1)* 25 to 19 labelled b_1(2)* 25 to 23 labelled d_1(2)* 25 to 102 labelled a_1(3)* 25 to 136 labelled b_1(4)* 25 to 140 labelled d_1(4)* 25 to 91 labelled d_1(2)* 26 to 2 labelled d_1(2)* 26 to 18 labelled b_1(1), a_1(1)* 26 to 19 labelled b_1(2)* 26 to 23 labelled d_1(2)* 26 to 94 labelled a_1(2)* 26 to 95 labelled b_1(3)* 26 to 99 labelled d_1(3), d_1(2)* 26 to 91 labelled d_1(2)* 86 to 24 labelled d_1(1)* 87 to 88 labelled b_1(2)* 88 to 89 labelled f_1(2)* 89 to 90 labelled b_1(2)* 90 to 86 labelled b_1(2)* 91 to 92 labelled b_1(2)* 92 to 93 labelled c_1(2)* 93 to 94 labelled b_1(2)* 94 to 24 labelled d_1(2)* 94 to 100 labelled d_1(2)* 94 to 92 labelled d_1(2)* 95 to 96 labelled b_1(3)* 96 to 97 labelled f_1(3)* 97 to 98 labelled b_1(3)* 98 to 94 labelled b_1(3)* 99 to 100 labelled b_1(3)* 100 to 101 labelled c_1(3)* 101 to 102 labelled b_1(3)* 102 to 24 labelled d_1(3)* 102 to 100 labelled d_1(3)* 102 to 141 labelled d_1(3)* 102 to 92 labelled d_1(3)* 136 to 137 labelled b_1(4)* 137 to 138 labelled f_1(4)* 138 to 139 labelled b_1(4)* 139 to 102 labelled b_1(4)* 140 to 141 labelled b_1(4)* 141 to 142 labelled c_1(4)* 142 to 143 labelled b_1(4)* 143 to 24 labelled d_1(4)* 143 to 100 labelled d_1(4)* 143 to 141 labelled d_1(4)* 143 to 92 labelled d_1(4) ---------------------------------------- (2) YES popout

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

job log

popout

actions

all output return to SRS Standard