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SRS_Standard 2019-03-29 03.29 pair #432286279
details
property
value
status
complete
benchmark
231149.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n063.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
3.5303 seconds
cpu usage
10.1321
user time
9.73853
system time
0.393553
max virtual memory
1.9215956E7
max residence set size
1139424.0
stage attributes
key
value
starexec-result
YES
output
9.37/3.37 YES 9.75/3.42 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 9.75/3.42 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 9.75/3.42 9.75/3.42 9.75/3.42 Termination w.r.t. Q of the given QTRS could be proven: 9.75/3.42 9.75/3.42 (0) QTRS 9.75/3.42 (1) QTRS Reverse [EQUIVALENT, 0 ms] 9.75/3.42 (2) QTRS 9.75/3.42 (3) QTRSRRRProof [EQUIVALENT, 137 ms] 9.75/3.42 (4) QTRS 9.75/3.42 (5) AAECC Innermost [EQUIVALENT, 0 ms] 9.75/3.42 (6) QTRS 9.75/3.42 (7) DependencyPairsProof [EQUIVALENT, 20 ms] 9.75/3.42 (8) QDP 9.75/3.42 (9) DependencyGraphProof [EQUIVALENT, 0 ms] 9.75/3.42 (10) TRUE 9.75/3.42 9.75/3.42 9.75/3.42 ---------------------------------------- 9.75/3.42 9.75/3.42 (0) 9.75/3.42 Obligation: 9.75/3.42 Q restricted rewrite system: 9.75/3.42 The TRS R consists of the following rules: 9.75/3.42 9.75/3.42 0(x1) -> 1(x1) 9.75/3.42 0(0(x1)) -> 0(x1) 9.75/3.42 3(4(5(x1))) -> 4(3(5(x1))) 9.75/3.42 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(0(0(0(1(1(0(0(0(0(1(0(0(0(1(1(0(0(0(1(1(0(0(1(1(1(1(0(0(1(1(1(1(1(1(0(1(1(1(1(0(0(1(1(0(0(0(0(1(1(1(1(0(0(0(1(1(1(0(1(1(0(1(1(0(0(1(0(1(1(1(1(1(0(1(1(1(0(0(0(1(0(0(0(1(1(0(1(1(1(0(0(1(0(0(0(0(0(0(0(1(0(1(0(0(1(0(1(0(0(1(0(1(1(1(1(0(0(0(0(0(1(0(1(0(0(1(0(1(1(0(1(0(0(1(0(1(0(1(0(1(1(0(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 9.75/3.42 1(0(1(1(1(0(0(1(0(0(0(1(0(1(1(0(1(1(1(0(1(0(0(0(0(1(1(1(0(0(1(0(0(1(1(0(1(0(0(1(1(1(1(0(1(1(0(1(1(0(1(1(0(1(0(1(1(0(1(0(1(1(0(0(1(1(1(0(0(0(1(0(1(1(1(0(0(0(1(0(1(0(1(0(0(0(1(0(1(0(1(0(1(0(1(1(0(0(1(1(1(1(1(1(0(0(0(0(0(0(0(1(0(0(0(0(1(1(0(1(0(0(1(0(0(1(0(0(1(1(0(0(1(1(1(0(1(0(1(1(1(1(0(1(0(0(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(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 9.75/3.42 9.75/3.42 Q is empty. 9.75/3.42 9.75/3.42 ---------------------------------------- 9.75/3.42 9.75/3.42 (1) QTRS Reverse (EQUIVALENT) 9.75/3.42 We applied the QTRS Reverse Processor [REVERSE]. 9.75/3.42 ---------------------------------------- 9.75/3.42 9.75/3.42 (2) 9.75/3.42 Obligation: 9.75/3.42 Q restricted rewrite system: 9.75/3.42 The TRS R consists of the following rules: 9.75/3.42 9.75/3.42 0(x1) -> 1(x1) 9.75/3.42 0(0(x1)) -> 0(x1) 9.75/3.42 5(4(3(x1))) -> 5(3(4(x1))) 9.75/3.42 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(0(1(1(0(1(0(1(0(1(0(0(1(0(1(1(0(1(0(0(1(0(1(0(0(0(0(0(1(1(1(1(0(1(0(0(1(0(1(0(0(1(0(1(0(0(0(0(0(0(0(1(0(0(1(1(1(0(1(1(0(0(0(1(0(0(0(1(1(1(0(1(1(1(1(1(0(1(0(0(1(1(0(1(1(0(1(1(1(0(0(0(1(1(1(1(0(0(0(0(1(1(0(0(1(1(1(1(0(1(1(1(1(1(1(0(0(1(1(1(1(0(0(1(1(0(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(0(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 9.75/3.42 0(0(0(0(1(0(1(1(1(1(0(1(0(1(1(1(0(0(1(1(0(0(1(0(0(1(0(0(1(0(1(1(0(0(0(0(1(0(0(0(0(0(0(0(1(1(1(1(1(1(0(0(1(1(0(1(0(1(0(1(0(1(0(0(0(1(0(1(0(1(0(0(0(1(1(1(0(1(0(0(0(1(1(1(0(0(1(1(0(1(0(1(1(0(1(0(1(1(0(1(1(0(1(1(0(1(1(1(1(0(0(1(0(1(1(0(0(1(0(0(1(1(1(0(0(0(0(1(0(1(1(1(0(1(1(0(1(0(0(0(1(0(0(1(1(1(0(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(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 9.75/3.42 9.75/3.42 Q is empty. 9.75/3.42 9.75/3.42 ---------------------------------------- 9.75/3.42 9.75/3.42 (3) QTRSRRRProof (EQUIVALENT) 9.75/3.42 Used ordering: 9.75/3.42 Polynomial interpretation [POLO]: 9.75/3.42 9.75/3.42 POL(0(x_1)) = 23 + x_1 9.75/3.42 POL(1(x_1)) = x_1 9.75/3.42 POL(2(x_1)) = 12 + x_1 9.75/3.42 POL(3(x_1)) = x_1 9.75/3.42 POL(4(x_1)) = x_1 9.75/3.42 POL(5(x_1)) = x_1 9.75/3.42 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 9.75/3.42 9.75/3.42 0(x1) -> 1(x1) 9.75/3.42 0(0(x1)) -> 0(x1) 9.75/3.42 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(0(1(1(0(1(0(1(0(1(0(0(1(0(1(1(0(1(0(0(1(0(1(0(0(0(0(0(1(1(1(1(0(1(0(0(1(0(1(0(0(1(0(1(0(0(0(0(0(0(0(1(0(0(1(1(1(0(1(1(0(0(0(1(0(0(0(1(1(1(0(1(1(1(1(1(0(1(0(0(1(1(0(1(1(0(1(1(1(0(0(0(1(1(1(1(0(0(0(0(1(1(0(0(1(1(1(1(0(1(1(1(1(1(1(0(0(1(1(1(1(0(0(1(1(0(0(0(1(1(0(0(0(1(0(0(0(0(1(1(0(0(0(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 9.75/3.42 0(0(0(0(1(0(1(1(1(1(0(1(0(1(1(1(0(0(1(1(0(0(1(0(0(1(0(0(1(0(1(1(0(0(0(0(1(0(0(0(0(0(0(0(1(1(1(1(1(1(0(0(1(1(0(1(0(1(0(1(0(1(0(0(0(1(0(1(0(1(0(0(0(1(1(1(0(1(0(0(0(1(1(1(0(0(1(1(0(1(0(1(1(0(1(0(1(1(0(1(1(0(1(1(0(1(1(1(1(0(0(1(0(1(1(0(0(1(0(0(1(1(1(0(0(0(0(1(0(1(1(1(0(1(1(0(1(0(0(0(1(0(0(1(1(1(0(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(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 9.75/3.42 9.75/3.42 9.75/3.42 9.75/3.42 9.75/3.42 ---------------------------------------- 9.75/3.42 9.75/3.42 (4) 9.75/3.42 Obligation: 9.75/3.42 Q restricted rewrite system: 9.75/3.42 The TRS R consists of the following rules: 9.75/3.42 9.75/3.42 5(4(3(x1))) -> 5(3(4(x1))) 9.75/3.42 9.75/3.42 Q is empty. 9.75/3.42 9.75/3.42 ---------------------------------------- 9.75/3.42 9.75/3.42 (5) AAECC Innermost (EQUIVALENT) 9.75/3.42 We have applied [NOC,AAECCNOC] to switch to innermost. The TRS R 1 is none 9.75/3.42 9.75/3.42 The TRS R 2 is 9.75/3.42 5(4(3(x1))) -> 5(3(4(x1))) 9.75/3.42 9.75/3.42 The signature Sigma is {5_1} 9.75/3.42 ---------------------------------------- 9.75/3.42 9.75/3.42 (6) 9.75/3.42 Obligation:
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