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	n148.star.cs.uiowa.edu
space	Zantema_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.62924 seconds
cpu usage	3.60973
user time	3.43797
system time	0.171764
max virtual memory	1.8745384E7
max residence set size	260820.0

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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRS Reverse [EQUIVALENT, 0 ms] (2) QTRS (3) RFCMatchBoundsTRSProof [EQUIVALENT, 0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: b(c(b(c(a(a(x1)))))) -> a(a(a(b(c(b(c(b(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: a(a(c(b(c(b(x1)))))) -> c(b(c(b(c(b(a(a(a(x1))))))))) Q is empty. ---------------------------------------- (3) 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(a(c(b(c(b(x1)))))) -> c(b(c(b(c(b(a(a(a(x1))))))))) The certificate found is represented by the following graph. The certificate consists of the following enumerated nodes: 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132 Node 67 is start node and node 68 is final node. Those nodes are connected through the following edges: * 67 to 69 labelled c_1(0)* 68 to 68 labelled #_1(0)* 69 to 70 labelled b_1(0)* 70 to 71 labelled c_1(0)* 71 to 72 labelled b_1(0)* 72 to 73 labelled c_1(0)* 73 to 74 labelled b_1(0)* 74 to 75 labelled a_1(0)* 74 to 85 labelled c_1(1)* 75 to 76 labelled a_1(0)* 75 to 77 labelled c_1(1)* 76 to 68 labelled a_1(0)* 76 to 77 labelled c_1(1)* 77 to 78 labelled b_1(1)* 78 to 79 labelled c_1(1)* 79 to 80 labelled b_1(1)* 80 to 81 labelled c_1(1)* 81 to 82 labelled b_1(1)* 82 to 83 labelled a_1(1)* 82 to 93 labelled c_1(2)* 83 to 84 labelled a_1(1)* 83 to 77 labelled c_1(1)* 84 to 68 labelled a_1(1)* 84 to 77 labelled c_1(1)* 85 to 86 labelled b_1(1)* 86 to 87 labelled c_1(1)* 87 to 88 labelled b_1(1)* 88 to 89 labelled c_1(1)* 89 to 90 labelled b_1(1)* 90 to 91 labelled a_1(1)* 91 to 92 labelled a_1(1)* 91 to 101 labelled c_1(2)* 92 to 80 labelled a_1(1)* 93 to 94 labelled b_1(2)* 94 to 95 labelled c_1(2)* 95 to 96 labelled b_1(2)* 96 to 97 labelled c_1(2)* 97 to 98 labelled b_1(2)* 98 to 99 labelled a_1(2)* 99 to 100 labelled a_1(2)* 99 to 101 labelled c_1(2)* 100 to 80 labelled a_1(2)* 101 to 102 labelled b_1(2)* 102 to 103 labelled c_1(2)* 103 to 104 labelled b_1(2)* 104 to 105 labelled c_1(2)* 105 to 106 labelled b_1(2)* 106 to 107 labelled a_1(2)* 107 to 108 labelled a_1(2)* 107 to 109 labelled c_1(3)* 108 to 94 labelled a_1(2)* 109 to 110 labelled b_1(3)* 110 to 111 labelled c_1(3)* 111 to 112 labelled b_1(3)* 112 to 113 labelled c_1(3)* 113 to 114 labelled b_1(3)* 114 to 115 labelled a_1(3)* 114 to 125 labelled c_1(4)* 115 to 116 labelled a_1(3)* 116 to 98 labelled a_1(3)* 116 to 117 labelled c_1(3)* 117 to 118 labelled b_1(3)* 118 to 119 labelled c_1(3)* 119 to 120 labelled b_1(3)* 120 to 121 labelled c_1(3)* 121 to 122 labelled b_1(3)* 122 to 123 labelled a_1(3)* 123 to 124 labelled a_1(3)* 124 to 104 labelled a_1(3)* 125 to 126 labelled b_1(4)* 126 to 127 labelled c_1(4)* 127 to 128 labelled b_1(4)* 128 to 129 labelled c_1(4)* 129 to 130 labelled b_1(4)* 130 to 131 labelled a_1(4)* 131 to 132 labelled a_1(4)* 132 to 120 labelled a_1(4) ---------------------------------------- (4) YES popout

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

job log

popout

actions

all output return to SRS Standard