Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
SRS Standard pair #487091206
details
property
value
status
complete
benchmark
z095.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n141.star.cs.uiowa.edu
space
Zantema_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.66063 seconds
cpu usage
3.67543
user time
3.52324
system time
0.152191
max virtual memory
1.9142144E7
max residence set size
282448.0
stage attributes
key
value
starexec-result
YES
output
YES proof of /export/starexec/sandbox/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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRS Reverse [EQUIVALENT, 0 ms] (2) QTRS (3) RFCMatchBoundsTRSProof [EQUIVALENT, 0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: a(a(b(b(x1)))) -> b(b(b(a(a(a(a(a(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: b(b(a(a(x1)))) -> a(a(a(a(a(b(b(b(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: b(b(a(a(x1)))) -> a(a(a(a(a(b(b(b(x1)))))))) The certificate found is represented by the following graph. The certificate consists of the following enumerated nodes: 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 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, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165 Node 24 is start node and node 25 is final node. Those nodes are connected through the following edges: * 24 to 26 labelled a_1(0)* 25 to 25 labelled #_1(0)* 26 to 27 labelled a_1(0)* 27 to 28 labelled a_1(0)* 28 to 29 labelled a_1(0)* 29 to 30 labelled a_1(0)* 30 to 31 labelled b_1(0)* 30 to 96 labelled a_1(1)* 31 to 32 labelled b_1(0)* 31 to 33 labelled a_1(1)* 32 to 25 labelled b_1(0)* 32 to 33 labelled a_1(1)* 33 to 34 labelled a_1(1)* 34 to 35 labelled a_1(1)* 35 to 36 labelled a_1(1)* 36 to 37 labelled a_1(1)* 37 to 38 labelled b_1(1)* 37 to 103 labelled a_1(2)* 38 to 39 labelled b_1(1)* 38 to 33 labelled a_1(1)* 39 to 25 labelled b_1(1)* 39 to 33 labelled a_1(1)* 96 to 97 labelled a_1(1)* 97 to 98 labelled a_1(1)* 98 to 99 labelled a_1(1)* 99 to 100 labelled a_1(1)* 100 to 101 labelled b_1(1)* 101 to 102 labelled b_1(1)* 101 to 110 labelled a_1(2)* 102 to 34 labelled b_1(1)* 103 to 104 labelled a_1(2)* 104 to 105 labelled a_1(2)* 105 to 106 labelled a_1(2)* 106 to 107 labelled a_1(2)* 107 to 108 labelled b_1(2)* 108 to 109 labelled b_1(2)* 108 to 110 labelled a_1(2)* 109 to 34 labelled b_1(2)* 110 to 111 labelled a_1(2)* 111 to 112 labelled a_1(2)* 112 to 113 labelled a_1(2)* 113 to 114 labelled a_1(2)* 114 to 115 labelled b_1(2)* 115 to 116 labelled b_1(2)* 115 to 117 labelled a_1(2)* 116 to 36 labelled b_1(2)* 117 to 118 labelled a_1(2)* 118 to 119 labelled a_1(2)* 119 to 120 labelled a_1(2)* 120 to 121 labelled a_1(2)* 121 to 122 labelled b_1(2)* 122 to 123 labelled b_1(2)* 122 to 124 labelled a_1(3)* 123 to 103 labelled b_1(2)* 124 to 125 labelled a_1(3)* 125 to 126 labelled a_1(3)* 126 to 127 labelled a_1(3)* 127 to 128 labelled a_1(3)* 128 to 129 labelled b_1(3)* 129 to 130 labelled b_1(3)* 129 to 131 labelled a_1(3)* 130 to 105 labelled b_1(3)* 131 to 132 labelled a_1(3)* 132 to 133 labelled a_1(3)* 133 to 134 labelled a_1(3)* 134 to 135 labelled a_1(3)* 135 to 136 labelled b_1(3)* 135 to 145 labelled a_1(4)* 136 to 137 labelled b_1(3)* 137 to 107 labelled b_1(3)* 137 to 138 labelled a_1(3)* 138 to 139 labelled a_1(3)* 139 to 140 labelled a_1(3)* 140 to 141 labelled a_1(3)* 141 to 142 labelled a_1(3)* 142 to 143 labelled b_1(3)* 143 to 144 labelled b_1(3)* 143 to 152 labelled a_1(3)* 144 to 111 labelled b_1(3)* 145 to 146 labelled a_1(4)* 146 to 147 labelled a_1(4)* 147 to 148 labelled a_1(4)* 148 to 149 labelled a_1(4)* 149 to 150 labelled b_1(4)* 150 to 151 labelled b_1(4)* 150 to 159 labelled a_1(4)* 151 to 139 labelled b_1(4)* 152 to 153 labelled a_1(3)* 153 to 154 labelled a_1(3)* 154 to 155 labelled a_1(3)* 155 to 156 labelled a_1(3)* 156 to 157 labelled b_1(3)* 157 to 158 labelled b_1(3)* 158 to 113 labelled b_1(3)* 159 to 160 labelled a_1(4)* 160 to 161 labelled a_1(4)* 161 to 162 labelled a_1(4)* 162 to 163 labelled a_1(4)* 163 to 164 labelled b_1(4)* 164 to 165 labelled b_1(4)* 165 to 141 labelled b_1(4) ---------------------------------------- (4) YES
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to SRS Standard