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SRS_Standard 2019-03-29 03.29 pair #432288451
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
n147.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.78241 seconds
cpu usage
3.7003
user time
3.51263
system time
0.18767
max virtual memory
1.8410712E7
max residence set size
259484.0
stage attributes
key
value
starexec-result
YES
output
3.57/1.72 YES 3.57/1.73 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 3.57/1.73 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.57/1.73 3.57/1.73 3.57/1.73 Termination w.r.t. Q of the given QTRS could be proven: 3.57/1.73 3.57/1.73 (0) QTRS 3.57/1.73 (1) RFCMatchBoundsTRSProof [EQUIVALENT, 12 ms] 3.57/1.73 (2) YES 3.57/1.73 3.57/1.73 3.57/1.73 ---------------------------------------- 3.57/1.73 3.57/1.73 (0) 3.57/1.73 Obligation: 3.57/1.73 Q restricted rewrite system: 3.57/1.73 The TRS R consists of the following rules: 3.57/1.73 3.57/1.73 0(1(2(3(4(x1))))) -> 0(2(3(1(4(x1))))) 3.57/1.73 0(5(1(2(3(4(x1)))))) -> 0(1(2(5(3(4(x1)))))) 3.57/1.73 0(5(1(2(3(4(x1)))))) -> 0(5(2(1(3(4(x1)))))) 3.57/1.73 0(5(1(2(3(4(x1)))))) -> 5(0(2(3(1(4(x1)))))) 3.57/1.73 0(5(2(3(1(4(x1)))))) -> 0(1(5(2(3(4(x1)))))) 3.57/1.73 3.57/1.73 Q is empty. 3.57/1.73 3.57/1.73 ---------------------------------------- 3.57/1.73 3.57/1.73 (1) RFCMatchBoundsTRSProof (EQUIVALENT) 3.57/1.73 Termination of the TRS R could be shown with a Match Bound [MATCHBOUNDS1,MATCHBOUNDS2] of 0. This implies Q-termination of R. 3.57/1.73 The following rules were used to construct the certificate: 3.57/1.73 3.57/1.73 0(1(2(3(4(x1))))) -> 0(2(3(1(4(x1))))) 3.57/1.73 0(5(1(2(3(4(x1)))))) -> 0(1(2(5(3(4(x1)))))) 3.57/1.73 0(5(1(2(3(4(x1)))))) -> 0(5(2(1(3(4(x1)))))) 3.57/1.73 0(5(1(2(3(4(x1)))))) -> 5(0(2(3(1(4(x1)))))) 3.57/1.73 0(5(2(3(1(4(x1)))))) -> 0(1(5(2(3(4(x1)))))) 3.57/1.73 3.57/1.73 The certificate found is represented by the following graph. 3.57/1.73 The certificate consists of the following enumerated nodes: 3.57/1.73 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21 3.57/1.73 3.57/1.73 Node 1 is start node and node 2 is final node. 3.57/1.73 3.57/1.73 Those nodes are connected through the following edges: 3.57/1.73 3.57/1.73 * 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) 3.57/1.73 3.57/1.73 3.57/1.73 ---------------------------------------- 3.57/1.73 3.57/1.73 (2) 3.57/1.73 YES 3.57/1.78 EOF
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