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SRS_Standard 2019-03-29 03.29 pair #432288307
details
property
value
status
complete
benchmark
211639.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n069.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
4.5159 seconds
cpu usage
14.346
user time
13.2713
system time
1.07473
max virtual memory
1.8952064E7
max residence set size
2629196.0
stage attributes
key
value
starexec-result
YES
output
8.15/2.92 YES 14.10/4.41 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 14.10/4.41 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 14.10/4.41 14.10/4.41 14.10/4.41 Termination w.r.t. Q of the given QTRS could be proven: 14.10/4.41 14.10/4.41 (0) QTRS 14.10/4.41 (1) QTRS Reverse [EQUIVALENT, 0 ms] 14.10/4.41 (2) QTRS 14.10/4.41 (3) QTRSRRRProof [EQUIVALENT, 101 ms] 14.10/4.41 (4) QTRS 14.10/4.41 (5) AAECC Innermost [EQUIVALENT, 0 ms] 14.10/4.41 (6) QTRS 14.10/4.41 (7) DependencyPairsProof [EQUIVALENT, 19 ms] 14.10/4.41 (8) QDP 14.10/4.41 (9) DependencyGraphProof [EQUIVALENT, 0 ms] 14.10/4.41 (10) TRUE 14.10/4.41 14.10/4.41 14.10/4.41 ---------------------------------------- 14.10/4.41 14.10/4.41 (0) 14.10/4.41 Obligation: 14.10/4.41 Q restricted rewrite system: 14.10/4.41 The TRS R consists of the following rules: 14.10/4.41 14.10/4.41 0(x1) -> 1(x1) 14.10/4.41 0(0(x1)) -> 0(x1) 14.10/4.41 3(4(5(x1))) -> 4(3(5(x1))) 14.10/4.41 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(1(0(1(1(0(0(1(1(1(1(0(0(1(0(0(1(1(1(1(1(1(1(1(1(1(1(0(1(0(0(1(1(0(0(0(0(1(0(1(1(0(0(1(1(1(1(0(1(0(1(1(1(1(1(1(1(0(1(0(1(0(0(1(1(0(1(1(0(1(1(0(0(0(0(0(0(1(1(1(0(0(1(0(1(0(0(0(1(1(1(0(0(0(1(1(1(0(0(0(1(1(0(0(0(0(0(1(1(0(1(0(0(0(0(0(1(0(1(0(0(1(0(1(0(1(1(1(0(1(0(0(0(0(1(1(0(1(0(0(0(0(1(0(1(1(0(0(0(1(0(0(1(1(1(0(0(1(1(0(0(0(0(1(0(1(0(1(1(0(1(1(0(1(1(0(0(1(1(1(1(0(1(0(0(1(0(1(0(1(0(1(0(0(1(0(0(0(0(0(0(1(0(0(1(0(1(0(1(1(0(0(0(1(1(1(0(0(1(0(1(1(0(1(1(1(0(1(0(0(1(1(0(0(1(0(1(0(1(1(1(1(1(0(1(1(1(1(0(0(0(0(0(0(1(0(0(1(0(0(1(0(0(0(1(1(0(1(1(0(1(0(0(0(0(1(1(1(1(0(0(0(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 14.10/4.41 0(0(1(1(0(0(1(0(0(1(0(1(1(1(0(1(0(1(1(0(1(1(0(0(1(0(0(1(1(0(0(1(0(1(0(0(1(1(1(0(1(0(1(0(0(0(1(1(1(0(0(1(0(1(1(0(0(0(1(0(0(0(1(0(1(1(0(0(0(0(0(0(1(0(0(0(0(0(1(1(1(1(0(1(0(0(0(1(0(0(0(1(0(1(1(1(1(1(0(0(1(1(0(0(0(1(1(0(1(1(0(0(0(1(1(1(1(0(1(1(1(1(1(1(0(1(1(0(1(1(0(1(1(0(1(1(0(0(1(0(1(0(0(0(1(0(0(1(0(0(1(0(1(1(0(0(0(1(0(1(0(1(0(1(1(1(0(0(0(1(0(1(1(1(1(0(0(1(1(1(0(1(1(0(1(0(0(0(0(0(0(1(1(1(1(0(1(1(1(0(0(0(0(1(1(1(1(1(0(1(1(1(1(0(1(1(0(0(0(1(0(1(1(1(1(1(1(0(1(1(1(0(0(1(0(0(1(0(1(1(0(0(1(0(1(0(1(0(0(0(0(0(0(0(0(0(1(0(0(0(1(0(1(0(0(1(0(0(0(1(0(0(1(1(0(0(1(1(0(0(1(0(1(1(1(1(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 14.10/4.41 14.10/4.41 Q is empty. 14.10/4.41 14.10/4.41 ---------------------------------------- 14.10/4.41 14.10/4.41 (1) QTRS Reverse (EQUIVALENT) 14.10/4.41 We applied the QTRS Reverse Processor [REVERSE]. 14.10/4.41 ---------------------------------------- 14.10/4.41 14.10/4.41 (2) 14.10/4.41 Obligation: 14.10/4.41 Q restricted rewrite system: 14.10/4.41 The TRS R consists of the following rules: 14.10/4.41 14.10/4.41 0(x1) -> 1(x1) 14.10/4.41 0(0(x1)) -> 0(x1) 14.10/4.41 5(4(3(x1))) -> 5(3(4(x1))) 14.10/4.41 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(1(0(0(0(1(1(1(1(0(0(0(0(1(0(1(1(0(1(1(0(0(0(1(0(0(1(0(0(1(0(0(0(0(0(0(1(1(1(1(0(1(1(1(1(1(0(1(0(1(0(0(1(1(0(0(1(0(1(1(1(0(1(1(0(1(0(0(1(1(1(0(0(0(1(1(0(1(0(1(0(0(1(0(0(0(0(0(0(1(0(0(1(0(1(0(1(0(1(0(0(1(0(1(1(1(1(0(0(1(1(0(1(1(0(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(0(1(0(0(0(1(1(0(1(0(0(0(0(1(0(1(1(0(0(0(0(1(0(1(1(1(0(1(0(1(0(0(1(0(1(0(0(0(0(0(1(0(1(1(0(0(0(0(0(1(1(0(0(0(1(1(1(0(0(0(1(1(1(0(0(0(1(0(1(0(0(1(1(1(0(0(0(0(0(0(1(1(0(1(1(0(1(1(0(0(1(0(1(0(1(1(1(1(1(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(0(0(1(1(0(0(1(0(1(1(1(1(1(1(1(1(1(1(1(0(0(1(0(0(1(1(1(1(0(0(1(1(0(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 14.10/4.41 1(1(1(1(1(1(0(1(0(0(1(1(0(0(1(1(0(0(1(0(0(0(1(0(0(1(0(1(0(0(0(1(0(0(0(0(0(0(0(0(0(1(0(1(0(1(0(0(1(1(0(1(0(0(1(0(0(1(1(1(0(1(1(1(1(1(1(0(1(0(0(0(1(1(0(1(1(1(1(0(1(1(1(1(1(0(0(0(0(1(1(1(0(1(1(1(1(0(0(0(0(0(0(1(0(1(1(0(1(1(1(0(0(1(1(1(1(0(1(0(0(0(1(1(1(0(1(0(1(0(1(0(0(0(1(1(0(1(0(0(1(0(0(1(0(0(0(1(0(1(0(0(1(1(0(1(1(0(1(1(0(1(1(0(1(1(1(1(1(1(0(1(1(1(1(0(0(0(1(1(0(1(1(0(0(0(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(0(0(1(0(1(1(1(1(0(0(0(0(0(1(0(0(0(0(0(0(1(1(0(1(0(0(0(1(0(0(0(1(1(0(1(0(0(1(1(1(0(0(0(1(0(1(0(1(1(1(0(0(1(0(1(0(0(1(1(0(0(1(0(0(1(1(0(1(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 14.10/4.41 14.10/4.41 Q is empty. 14.10/4.41 14.10/4.41 ---------------------------------------- 14.10/4.41 14.10/4.41 (3) QTRSRRRProof (EQUIVALENT) 14.10/4.41 Used ordering: 14.10/4.41 Polynomial interpretation [POLO]: 14.10/4.41 14.10/4.41 POL(0(x_1)) = 18 + x_1 14.10/4.41 POL(1(x_1)) = 17 + x_1 14.10/4.41 POL(2(x_1)) = 69 + x_1 14.10/4.41 POL(3(x_1)) = x_1 14.10/4.41 POL(4(x_1)) = x_1 14.10/4.41 POL(5(x_1)) = x_1 14.10/4.41 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 14.10/4.41 14.10/4.41 0(x1) -> 1(x1) 14.10/4.41 0(0(x1)) -> 0(x1) 14.10/4.41 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 1(1(0(0(0(1(1(1(1(0(0(0(0(1(0(1(1(0(1(1(0(0(0(1(0(0(1(0(0(1(0(0(0(0(0(0(1(1(1(1(0(1(1(1(1(1(0(1(0(1(0(0(1(1(0(0(1(0(1(1(1(0(1(1(0(1(0(0(1(1(1(0(0(0(1(1(0(1(0(1(0(0(1(0(0(0(0(0(0(1(0(0(1(0(1(0(1(0(1(0(0(1(0(1(1(1(1(0(0(1(1(0(1(1(0(1(1(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(0(1(0(0(0(1(1(0(1(0(0(0(0(1(0(1(1(0(0(0(0(1(0(1(1(1(0(1(0(1(0(0(1(0(1(0(0(0(0(0(1(0(1(1(0(0(0(0(0(1(1(0(0(0(1(1(1(0(0(0(1(1(1(0(0(0(1(0(1(0(0(1(1(1(0(0(0(0(0(0(1(1(0(1(1(0(1(1(0(0(1(0(1(0(1(1(1(1(1(1(1(0(1(0(1(1(1(1(0(0(1(1(0(1(0(0(0(0(1(1(0(0(1(0(1(1(1(1(1(1(1(1(1(1(1(0(0(1(0(0(1(1(1(1(0(0(1(1(0(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 14.10/4.41 1(1(1(1(1(1(0(1(0(0(1(1(0(0(1(1(0(0(1(0(0(0(1(0(0(1(0(1(0(0(0(1(0(0(0(0(0(0(0(0(0(1(0(1(0(1(0(0(1(1(0(1(0(0(1(0(0(1(1(1(0(1(1(1(1(1(1(0(1(0(0(0(1(1(0(1(1(1(1(0(1(1(1(1(1(0(0(0(0(1(1(1(0(1(1(1(1(0(0(0(0(0(0(1(0(1(1(0(1(1(1(0(0(1(1(1(1(0(1(0(0(0(1(1(1(0(1(0(1(0(1(0(0(0(1(1(0(1(0(0(1(0(0(1(0(0(0(1(0(1(0(0(1(1(0(1(1(0(1(1(0(1(1(0(1(1(1(1(1(1(0(1(1(1(1(0(0(0(1(1(0(1(1(0(0(0(1(1(0(0(1(1(1(1(1(0(1(0(0(0(1(0(0(0(1(0(1(1(1(1(0(0(0(0(0(1(0(0(0(0(0(0(1(1(0(1(0(0(0(1(0(0(0(1(1(0(1(0(0(1(1(1(0(0(0(1(0(1(0(1(1(1(0(0(1(0(1(0(0(1(1(0(0(1(0(0(1(1(0(1(1(0(1(0(1(1(1(0(1(0(0(1(0(0(1(1(0(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 14.10/4.41 14.10/4.41 14.10/4.41 14.10/4.41 14.10/4.41 ---------------------------------------- 14.10/4.41 14.10/4.41 (4) 14.10/4.41 Obligation: 14.10/4.41 Q restricted rewrite system: 14.10/4.41 The TRS R consists of the following rules: 14.10/4.41 14.10/4.41 5(4(3(x1))) -> 5(3(4(x1))) 14.10/4.41 14.10/4.41 Q is empty. 14.10/4.41 14.10/4.41 ---------------------------------------- 14.10/4.41 14.10/4.41 (5) AAECC Innermost (EQUIVALENT) 14.10/4.41 We have applied [NOC,AAECCNOC] to switch to innermost. The TRS R 1 is none 14.10/4.41 14.10/4.41 The TRS R 2 is 14.10/4.41 5(4(3(x1))) -> 5(3(4(x1))) 14.10/4.41 14.10/4.41 The signature Sigma is {5_1} 14.10/4.41 ---------------------------------------- 14.10/4.41 14.10/4.41 (6) 14.10/4.41 Obligation:
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