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SRS Standard pair #487091188
details
property
value
status
complete
benchmark
z043.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)
1.6142 seconds
cpu usage
3.67991
user time
3.51129
system time
0.168623
max virtual memory
1.8809892E7
max residence set size
267480.0
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRS Reverse [EQUIVALENT, 0 ms] (2) QTRS (3) RFCMatchBoundsTRSProof [EQUIVALENT, 12 ms] (4) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: c(b(a(a(x1)))) -> a(a(b(a(a(b(c(b(a(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(b(c(x1)))) -> c(a(b(c(b(a(a(b(a(a(x1)))))))))) Q is empty. ---------------------------------------- (3) RFCMatchBoundsTRSProof (EQUIVALENT) Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 3. This implies Q-termination of R. The following rules were used to construct the certificate: a(a(b(c(x1)))) -> c(a(b(c(b(a(a(b(a(a(x1)))))))))) The certificate found is represented by the following graph. The certificate consists of the following enumerated nodes: 1, 4, 14, 15, 16, 17, 18, 19, 20, 21, 22, 41, 42, 43, 44, 45, 46, 47, 48, 49, 59, 60, 61, 62, 63, 64, 65, 66, 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 Node 1 is start node and node 4 is final node. Those nodes are connected through the following edges: * 1 to 14 labelled c_1(0)* 4 to 4 labelled #_1(0)* 14 to 15 labelled a_1(0)* 15 to 16 labelled b_1(0)* 16 to 17 labelled c_1(0)* 17 to 18 labelled b_1(0)* 18 to 19 labelled a_1(0)* 18 to 59 labelled c_1(1)* 19 to 20 labelled a_1(0)* 20 to 21 labelled b_1(0)* 21 to 22 labelled a_1(0)* 21 to 41 labelled c_1(1)* 22 to 4 labelled a_1(0)* 22 to 41 labelled c_1(1)* 41 to 42 labelled a_1(1)* 42 to 43 labelled b_1(1)* 43 to 44 labelled c_1(1)* 44 to 45 labelled b_1(1)* 45 to 46 labelled a_1(1)* 45 to 68 labelled c_1(2)* 46 to 47 labelled a_1(1)* 47 to 48 labelled b_1(1)* 48 to 49 labelled a_1(1)* 48 to 41 labelled c_1(1)* 49 to 4 labelled a_1(1)* 49 to 41 labelled c_1(1)* 59 to 60 labelled a_1(1)* 60 to 61 labelled b_1(1)* 61 to 62 labelled c_1(1)* 62 to 63 labelled b_1(1)* 63 to 64 labelled a_1(1)* 64 to 65 labelled a_1(1)* 65 to 66 labelled b_1(1)* 66 to 67 labelled a_1(1)* 67 to 41 labelled a_1(1)* 67 to 77 labelled c_1(2)* 68 to 69 labelled a_1(2)* 69 to 70 labelled b_1(2)* 70 to 71 labelled c_1(2)* 71 to 72 labelled b_1(2)* 72 to 73 labelled a_1(2)* 73 to 74 labelled a_1(2)* 74 to 75 labelled b_1(2)* 75 to 76 labelled a_1(2)* 76 to 41 labelled a_1(2)* 76 to 77 labelled c_1(2)* 77 to 78 labelled a_1(2)* 78 to 79 labelled b_1(2)* 79 to 80 labelled c_1(2)* 80 to 81 labelled b_1(2)* 81 to 82 labelled a_1(2)* 81 to 95 labelled c_1(3)* 82 to 83 labelled a_1(2)* 83 to 84 labelled b_1(2)* 84 to 85 labelled a_1(2)* 84 to 86 labelled c_1(2)* 85 to 44 labelled a_1(2)* 86 to 87 labelled a_1(2)* 87 to 88 labelled b_1(2)* 88 to 89 labelled c_1(2)* 89 to 90 labelled b_1(2)* 90 to 91 labelled a_1(2)* 91 to 92 labelled a_1(2)* 92 to 93 labelled b_1(2)* 93 to 94 labelled a_1(2)* 94 to 68 labelled a_1(2)* 94 to 104 labelled c_1(3)* 95 to 96 labelled a_1(3)* 96 to 97 labelled b_1(3)* 97 to 98 labelled c_1(3)* 98 to 99 labelled b_1(3)* 99 to 100 labelled a_1(3)* 100 to 101 labelled a_1(3)* 101 to 102 labelled b_1(3)* 102 to 103 labelled a_1(3)* 103 to 86 labelled a_1(3)* 103 to 113 labelled c_1(3)* 104 to 105 labelled a_1(3)* 105 to 106 labelled b_1(3)* 106 to 107 labelled c_1(3)* 107 to 108 labelled b_1(3)* 108 to 109 labelled a_1(3)* 109 to 110 labelled a_1(3)* 110 to 111 labelled b_1(3)* 111 to 112 labelled a_1(3)* 112 to 71 labelled a_1(3)* 113 to 114 labelled a_1(3)* 114 to 115 labelled b_1(3)* 115 to 116 labelled c_1(3)* 116 to 117 labelled b_1(3)* 117 to 118 labelled a_1(3)* 118 to 119 labelled a_1(3)* 119 to 120 labelled b_1(3)* 120 to 121 labelled a_1(3)* 121 to 89 labelled a_1(3) ---------------------------------------- (4) YES
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