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SRS Standard pair #487086382
details
property
value
status
complete
benchmark
264405.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n145.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.59439 seconds
cpu usage
3.15007
user time
3.02193
system time
0.12814
max virtual memory
1.8342904E7
max residence set size
212112.0
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# AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) RFCMatchBoundsTRSProof [EQUIVALENT, 0 ms] (2) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: 0(1(2(3(4(x1))))) -> 0(2(3(1(4(x1))))) 0(5(1(2(3(4(x1)))))) -> 0(1(2(5(3(4(x1)))))) 0(5(1(2(3(4(x1)))))) -> 0(5(2(1(3(4(x1)))))) 0(5(1(2(3(4(x1)))))) -> 5(0(2(3(1(4(x1)))))) 0(5(2(3(1(4(x1)))))) -> 0(1(5(2(3(4(x1)))))) Q is empty. ---------------------------------------- (1) RFCMatchBoundsTRSProof (EQUIVALENT) Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 0. This implies Q-termination of R. The following rules were used to construct the certificate: 0(1(2(3(4(x1))))) -> 0(2(3(1(4(x1))))) 0(5(1(2(3(4(x1)))))) -> 0(1(2(5(3(4(x1)))))) 0(5(1(2(3(4(x1)))))) -> 0(5(2(1(3(4(x1)))))) 0(5(1(2(3(4(x1)))))) -> 5(0(2(3(1(4(x1)))))) 0(5(2(3(1(4(x1)))))) -> 0(1(5(2(3(4(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 Node 1 is start node and node 2 is final node. Those nodes are connected through the following edges: * 1 to 3 labelled 0_1(0)* 1 to 7 labelled 0_1(0)* 1 to 12 labelled 0_1(0)* 1 to 1 labelled 5_1(0)* 1 to 17 labelled 0_1(0)* 2 to 2 labelled #_1(0)* 3 to 4 labelled 2_1(0)* 4 to 5 labelled 3_1(0)* 5 to 6 labelled 1_1(0)* 6 to 2 labelled 4_1(0)* 7 to 8 labelled 1_1(0)* 8 to 9 labelled 2_1(0)* 9 to 10 labelled 5_1(0)* 10 to 11 labelled 3_1(0)* 11 to 2 labelled 4_1(0)* 12 to 13 labelled 5_1(0)* 13 to 14 labelled 2_1(0)* 14 to 15 labelled 1_1(0)* 15 to 16 labelled 3_1(0)* 16 to 2 labelled 4_1(0)* 17 to 18 labelled 1_1(0)* 18 to 19 labelled 5_1(0)* 19 to 20 labelled 2_1(0)* 20 to 21 labelled 3_1(0)* 21 to 2 labelled 4_1(0) ---------------------------------------- (2) YES
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