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SRS_Standard 2019-03-29 03.29 pair #432288745
details
property
value
status
complete
benchmark
213611.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n165.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
3.67344 seconds
cpu usage
11.2874
user time
10.56
system time
0.727423
max virtual memory
3.7773832E7
max residence set size
1649232.0
stage attributes
key
value
starexec-result
YES
output
9.21/3.21 YES 9.62/3.26 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 9.62/3.26 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 9.62/3.26 9.62/3.26 9.62/3.26 Termination w.r.t. Q of the given QTRS could be proven: 9.62/3.26 9.62/3.26 (0) QTRS 9.62/3.26 (1) QTRSRRRProof [EQUIVALENT, 145 ms] 9.62/3.26 (2) QTRS 9.62/3.26 (3) Overlay + Local Confluence [EQUIVALENT, 9 ms] 9.62/3.26 (4) QTRS 9.62/3.26 (5) DependencyPairsProof [EQUIVALENT, 15 ms] 9.62/3.26 (6) QDP 9.62/3.26 (7) DependencyGraphProof [EQUIVALENT, 0 ms] 9.62/3.26 (8) TRUE 9.62/3.26 9.62/3.26 9.62/3.26 ---------------------------------------- 9.62/3.26 9.62/3.26 (0) 9.62/3.26 Obligation: 9.62/3.26 Q restricted rewrite system: 9.62/3.26 The TRS R consists of the following rules: 9.62/3.26 9.62/3.26 0(x1) -> 1(x1) 9.62/3.26 0(0(x1)) -> 0(x1) 9.62/3.26 3(4(5(x1))) -> 4(3(5(x1))) 9.62/3.26 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(0(0(1(1(1(1(0(0(0(1(1(1(0(0(0(1(1(0(0(1(1(1(0(1(1(0(1(1(1(1(0(0(0(0(0(1(1(0(0(0(1(1(0(1(0(1(1(1(0(1(0(0(1(1(1(0(1(0(1(0(1(1(0(0(0(1(0(1(0(1(1(1(1(1(1(1(0(0(1(1(0(1(0(0(1(1(0(1(0(0(0(1(0(0(0(0(1(0(1(0(1(1(1(0(1(1(0(0(1(0(0(1(1(1(1(0(0(0(0(1(0(1(1(1(0(1(0(0(0(0(0(0(0(1(0(0(0(1(0(0(1(0(0(1(0(0(1(0(1(0(1(0(0(1(1(0(0(1(0(1(1(0(0(0(1(1(0(0(0(1(0(1(0(0(1(1(0(1(1(1(1(1(1(0(0(0(1(0(1(1(0(1(1(1(1(1(0(1(0(1(1(1(1(1(0(1(0(1(1(1(0(1(0(0(0(1(1(1(0(0(0(0(1(1(1(0(0(0(0(0(1(1(1(0(1(1(1(1(0(1(0(1(0(1(0(1(0(1(0(0(0(1(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(0(0(1(0(0(1(1(0(0(1(0(1(1(0(0(0(1(1(1(0(0(0(0(1(0(1(0(0(1(0(0(0(1(0(1(1(1(0(0(1(1(1(0(1(0(0(1(1(1(1(0(1(1(0(0(1(1(0(1(0(0(1(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 9.62/3.26 1(1(1(1(1(0(0(0(0(0(0(1(1(0(0(0(0(0(0(1(0(1(1(0(0(0(1(0(1(0(1(0(1(0(0(0(1(0(0(1(1(0(0(0(0(0(1(0(1(1(0(1(1(1(0(1(0(0(1(0(1(0(1(0(0(0(1(0(1(1(1(1(1(1(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(0(1(1(0(0(0(1(0(1(0(1(0(0(0(1(0(0(0(1(1(0(0(0(1(1(0(0(1(0(1(0(0(0(1(1(1(0(1(0(0(0(0(0(1(1(1(0(0(0(1(1(0(0(1(1(0(1(1(0(1(1(1(0(1(0(0(1(1(0(0(0(0(0(0(0(0(1(1(1(0(1(0(0(1(1(1(1(1(0(1(1(1(1(1(1(0(1(1(0(0(1(0(0(0(0(0(0(1(1(1(0(1(0(1(1(1(1(0(1(0(1(0(1(1(1(1(1(0(1(0(1(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(1(0(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(0(0(1(0(1(1(1(1(0(1(1(1(0(0(1(0(0(0(0(0(0(0(1(1(0(1(0(0(1(1(1(0(0(1(0(1(1(0(0(0(1(0(0(0(0(1(0(0(1(0(1(1(1(1(0(1(1(1(0(0(0(1(1(0(0(1(0(0(0(1(1(1(0(1(1(1(1(0(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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 9.62/3.26 9.62/3.26 Q is empty. 9.62/3.26 9.62/3.26 ---------------------------------------- 9.62/3.26 9.62/3.26 (1) QTRSRRRProof (EQUIVALENT) 9.62/3.26 Used ordering: 9.62/3.26 Polynomial interpretation [POLO]: 9.62/3.26 9.62/3.26 POL(0(x_1)) = 72 + x_1 9.62/3.26 POL(1(x_1)) = 71 + x_1 9.62/3.26 POL(2(x_1)) = 333 + x_1 9.62/3.26 POL(3(x_1)) = x_1 9.62/3.26 POL(4(x_1)) = x_1 9.62/3.26 POL(5(x_1)) = x_1 9.62/3.26 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 9.62/3.26 9.62/3.26 0(x1) -> 1(x1) 9.62/3.26 0(0(x1)) -> 0(x1) 9.62/3.26 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(0(0(1(1(1(1(0(0(0(1(1(1(0(0(0(1(1(0(0(1(1(1(0(1(1(0(1(1(1(1(0(0(0(0(0(1(1(0(0(0(1(1(0(1(0(1(1(1(0(1(0(0(1(1(1(0(1(0(1(0(1(1(0(0(0(1(0(1(0(1(1(1(1(1(1(1(0(0(1(1(0(1(0(0(1(1(0(1(0(0(0(1(0(0(0(0(1(0(1(0(1(1(1(0(1(1(0(0(1(0(0(1(1(1(1(0(0(0(0(1(0(1(1(1(0(1(0(0(0(0(0(0(0(1(0(0(0(1(0(0(1(0(0(1(0(0(1(0(1(0(1(0(0(1(1(0(0(1(0(1(1(0(0(0(1(1(0(0(0(1(0(1(0(0(1(1(0(1(1(1(1(1(1(0(0(0(1(0(1(1(0(1(1(1(1(1(0(1(0(1(1(1(1(1(0(1(0(1(1(1(0(1(0(0(0(1(1(1(0(0(0(0(1(1(1(0(0(0(0(0(1(1(1(0(1(1(1(1(0(1(0(1(0(1(0(1(0(1(0(0(0(1(0(0(1(0(0(1(1(1(1(0(0(0(0(0(0(0(0(0(0(1(0(0(1(1(0(0(1(0(1(1(0(0(0(1(1(1(0(0(0(0(1(0(1(0(0(1(0(0(0(1(0(1(1(1(0(0(1(1(1(0(1(0(0(1(1(1(1(0(1(1(0(0(1(1(0(1(0(0(1(1(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 9.62/3.26 1(1(1(1(1(0(0(0(0(0(0(1(1(0(0(0(0(0(0(1(0(1(1(0(0(0(1(0(1(0(1(0(1(0(0(0(1(0(0(1(1(0(0(0(0(0(1(0(1(1(0(1(1(1(0(1(0(0(1(0(1(0(1(0(0(0(1(0(1(1(1(1(1(1(0(0(1(1(1(0(1(1(1(1(1(0(1(1(1(0(0(1(1(0(1(1(0(0(0(1(0(1(0(1(0(0(0(1(0(0(0(1(1(0(0(0(1(1(0(0(1(0(1(0(0(0(1(1(1(0(1(0(0(0(0(0(1(1(1(0(0(0(1(1(0(0(1(1(0(1(1(0(1(1(1(0(1(0(0(1(1(0(0(0(0(0(0(0(0(1(1(1(0(1(0(0(1(1(1(1(1(0(1(1(1(1(1(1(0(1(1(0(0(1(0(0(0(0(0(0(1(1(1(0(1(0(1(1(1(1(0(1(0(1(0(1(1(1(1(1(0(1(0(1(1(1(1(1(0(0(0(0(0(0(0(0(1(0(1(1(1(1(0(0(1(0(1(0(0(0(0(1(1(0(0(1(1(1(0(0(0(1(0(1(1(1(1(0(1(1(1(0(0(1(0(0(0(0(0(0(0(1(1(0(1(0(0(1(1(1(0(0(1(0(1(1(0(0(0(1(0(0(0(0(1(0(0(1(0(1(1(1(1(0(1(1(1(0(0(0(1(1(0(0(1(0(0(0(1(1(1(0(1(1(1(1(0(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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 9.62/3.26 9.62/3.26 9.62/3.26 9.62/3.26 9.62/3.26 ---------------------------------------- 9.62/3.26 9.62/3.26 (2) 9.62/3.26 Obligation: 9.62/3.26 Q restricted rewrite system: 9.62/3.26 The TRS R consists of the following rules: 9.62/3.26 9.62/3.26 3(4(5(x1))) -> 4(3(5(x1))) 9.62/3.26 9.62/3.26 Q is empty. 9.62/3.26 9.62/3.26 ---------------------------------------- 9.62/3.26 9.62/3.26 (3) Overlay + Local Confluence (EQUIVALENT) 9.62/3.26 The TRS is overlay and locally confluent. By [NOC] we can switch to innermost. 9.62/3.26 ---------------------------------------- 9.62/3.26 9.62/3.26 (4) 9.62/3.26 Obligation: 9.62/3.26 Q restricted rewrite system: 9.62/3.26 The TRS R consists of the following rules: 9.62/3.26 9.62/3.26 3(4(5(x1))) -> 4(3(5(x1))) 9.62/3.26 9.62/3.26 The set Q consists of the following terms: 9.62/3.26 9.62/3.26 3(4(5(x0))) 9.62/3.26 9.62/3.26 9.62/3.26 ---------------------------------------- 9.62/3.26 9.62/3.26 (5) DependencyPairsProof (EQUIVALENT) 9.62/3.26 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 9.62/3.26 ---------------------------------------- 9.62/3.26 9.62/3.26 (6) 9.62/3.26 Obligation: 9.62/3.26 Q DP problem: 9.62/3.26 The TRS P consists of the following rules: 9.62/3.26 9.62/3.26 3^1(4(5(x1))) -> 3^1(5(x1)) 9.62/3.26 9.62/3.26 The TRS R consists of the following rules: 9.62/3.26 9.62/3.26 3(4(5(x1))) -> 4(3(5(x1)))
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