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SRS_Standard 2019-03-29 03.29 pair #432286987
details
property
value
status
complete
benchmark
231604.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n078.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
4.75821 seconds
cpu usage
15.2049
user time
14.3887
system time
0.816178
max virtual memory
1.9152984E7
max residence set size
2346796.0
stage attributes
key
value
starexec-result
YES
output
14.82/4.61 YES 14.82/4.64 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 14.82/4.64 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 14.82/4.64 14.82/4.64 14.82/4.64 Termination w.r.t. Q of the given QTRS could be proven: 14.82/4.64 14.82/4.64 (0) QTRS 14.82/4.64 (1) QTRSRRRProof [EQUIVALENT, 200 ms] 14.82/4.64 (2) QTRS 14.82/4.64 (3) Overlay + Local Confluence [EQUIVALENT, 0 ms] 14.82/4.64 (4) QTRS 14.82/4.64 (5) DependencyPairsProof [EQUIVALENT, 4 ms] 14.82/4.64 (6) QDP 14.82/4.64 (7) DependencyGraphProof [EQUIVALENT, 1 ms] 14.82/4.64 (8) TRUE 14.82/4.64 14.82/4.64 14.82/4.64 ---------------------------------------- 14.82/4.64 14.82/4.64 (0) 14.82/4.64 Obligation: 14.82/4.64 Q restricted rewrite system: 14.82/4.64 The TRS R consists of the following rules: 14.82/4.64 14.82/4.64 0(x1) -> 1(x1) 14.82/4.64 0(0(x1)) -> 0(x1) 14.82/4.64 3(4(5(x1))) -> 4(3(5(x1))) 14.82/4.64 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(0(1(0(0(0(0(1(0(0(0(1(0(1(1(1(1(1(1(1(1(1(1(1(0(1(1(0(0(0(0(0(1(0(1(0(0(1(0(0(0(1(0(1(0(1(0(0(0(0(1(1(1(1(0(0(0(1(0(1(0(0(1(0(0(0(1(1(0(0(1(0(0(0(1(1(1(0(1(1(1(0(0(1(1(1(1(1(1(1(1(0(0(0(1(1(1(0(0(1(1(0(1(0(1(1(1(1(1(0(1(0(0(1(0(0(0(0(1(0(0(1(0(1(0(1(0(1(0(0(0(1(1(0(0(0(1(1(1(0(0(0(0(1(1(1(0(0(1(0(1(1(0(0(1(1(1(0(1(0(1(1(1(1(1(0(1(0(0(0(0(1(0(0(1(0(0(0(0(0(0(1(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(0(1(0(1(1(1(0(1(1(1(0(0(1(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(1(0(1(0(0(1(1(0(1(1(1(1(0(1(1(0(0(0(0(0(1(0(1(0(1(1(1(0(0(1(1(0(1(1(0(0(0(0(1(0(1(0(1(0(1(0(0(0(1(1(0(1(0(0(1(1(0(1(1(0(0(1(1(1(0(0(1(1(1(1(0(0(1(1(1(1(0(1(0(1(0(0(0(1(1(1(0(1(0(0(0(0(0(0(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(1(1(1(0(1(0(1(0(0(1(1(0(0(0(0(1(1(1(0(1(1(1(0(0(1(1(0(1(1(1(0(1(1(1(0(1(0(0(0(0(0(1(1(0(0(0(0(1(0(0(1(0(0(1(1(1(0(1(0(1(0(0(0(0(1(1(0(1(0(0(0(1(1(0(1(1(1(1(1(0(0(0(1(0(1(1(0(1(0(1(1(0(1(1(0(1(1(0(0(1(0(1(0(1(1(0(0(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 14.82/4.64 0(1(1(1(0(1(0(1(0(0(1(1(1(1(0(0(0(1(1(1(0(1(0(1(1(0(1(0(1(1(1(0(1(1(1(0(1(0(1(1(0(1(0(0(1(1(0(1(1(0(0(1(0(1(1(0(1(1(0(0(1(1(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(0(1(1(0(0(0(0(0(1(0(0(0(1(0(0(1(0(1(1(1(0(1(1(1(0(0(0(0(1(1(0(0(1(0(0(1(0(0(1(0(0(0(0(0(0(0(0(0(0(0(0(1(0(1(1(0(0(0(1(0(0(1(1(0(0(1(1(1(0(0(1(0(0(0(0(0(0(0(0(1(0(1(0(0(0(0(0(1(1(0(0(0(1(0(0(0(1(1(0(0(0(0(0(1(1(0(1(1(1(0(0(0(1(1(1(1(0(1(1(1(1(1(1(1(0(0(1(0(1(1(1(0(0(1(1(0(1(0(1(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(1(0(0(0(0(0(1(1(1(0(0(0(1(0(0(1(0(1(1(1(0(0(0(1(0(1(1(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(0(0(1(1(0(1(0(1(0(1(1(1(1(0(0(1(0(1(1(1(1(0(1(1(0(0(1(0(0(1(0(0(1(0(0(1(1(0(1(0(1(1(1(1(1(0(1(0(1(0(1(0(1(1(1(0(0(1(0(1(1(1(0(0(0(1(1(0(1(1(0(1(1(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(0(0(1(0(0(0(1(1(1(0(0(1(0(0(1(0(1(0(0(1(1(1(1(1(1(1(1(1(0(1(1(1(0(1(1(1(1(1(0(1(0(0(0(1(0(1(1(0(0(1(1(1(0(0(0(0(0(1(0(0(1(0(0(1(0(0(0(1(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(2(2(2(2(2(2(2(2(2(2(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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 14.82/4.64 14.82/4.64 Q is empty. 14.82/4.64 14.82/4.64 ---------------------------------------- 14.82/4.64 14.82/4.64 (1) QTRSRRRProof (EQUIVALENT) 14.82/4.64 Used ordering: 14.82/4.64 Polynomial interpretation [POLO]: 14.82/4.64 14.82/4.64 POL(0(x_1)) = 9 + x_1 14.82/4.64 POL(1(x_1)) = 8 + x_1 14.82/4.64 POL(2(x_1)) = 22 + x_1 14.82/4.64 POL(3(x_1)) = x_1 14.82/4.64 POL(4(x_1)) = x_1 14.82/4.64 POL(5(x_1)) = x_1 14.82/4.64 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly: 14.82/4.64 14.82/4.64 0(x1) -> 1(x1) 14.82/4.64 0(0(x1)) -> 0(x1) 14.82/4.64 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 0(0(1(0(1(0(0(0(0(1(0(0(0(1(0(1(1(1(1(1(1(1(1(1(1(1(0(1(1(0(0(0(0(0(1(0(1(0(0(1(0(0(0(1(0(1(0(1(0(0(0(0(1(1(1(1(0(0(0(1(0(1(0(0(1(0(0(0(1(1(0(0(1(0(0(0(1(1(1(0(1(1(1(0(0(1(1(1(1(1(1(1(1(0(0(0(1(1(1(0(0(1(1(0(1(0(1(1(1(1(1(0(1(0(0(1(0(0(0(0(1(0(0(1(0(1(0(1(0(1(0(0(0(1(1(0(0(0(1(1(1(0(0(0(0(1(1(1(0(0(1(0(1(1(0(0(1(1(1(0(1(0(1(1(1(1(1(0(1(0(0(0(0(1(0(0(1(0(0(0(0(0(0(1(0(1(0(1(1(0(0(0(1(1(1(0(0(1(1(0(1(0(1(1(1(0(1(1(1(0(0(1(0(1(1(0(1(0(1(0(1(1(0(0(0(0(1(1(0(1(0(0(1(1(0(1(1(1(1(0(1(1(0(0(0(0(0(1(0(1(0(1(1(1(0(0(1(1(0(1(1(0(0(0(0(1(0(1(0(1(0(1(0(0(0(1(1(0(1(0(0(1(1(0(1(1(0(0(1(1(1(0(0(1(1(1(1(0(0(1(1(1(1(0(1(0(1(0(0(0(1(1(1(0(1(0(0(0(0(0(0(0(0(1(0(1(0(1(1(1(0(1(0(0(1(0(1(1(1(0(1(0(1(0(0(1(1(0(0(0(0(1(1(1(0(1(1(1(0(0(1(1(0(1(1(1(0(1(1(1(0(1(0(0(0(0(0(1(1(0(0(0(0(1(0(0(1(0(0(1(1(1(0(1(0(1(0(0(0(0(1(1(0(1(0(0(0(1(1(0(1(1(1(1(1(0(0(0(1(0(1(1(0(1(0(1(1(0(1(1(0(1(1(0(0(1(0(1(0(1(1(0(0(1(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 14.82/4.65 0(1(1(1(0(1(0(1(0(0(1(1(1(1(0(0(0(1(1(1(0(1(0(1(1(0(1(0(1(1(1(0(1(1(1(0(1(0(1(1(0(1(0(0(1(1(0(1(1(0(0(1(0(1(1(0(1(1(0(0(1(1(0(0(1(1(1(1(0(0(1(1(0(1(0(1(0(0(1(0(1(1(0(0(0(0(0(1(0(0(0(1(0(0(1(0(1(1(1(0(1(1(1(0(0(0(0(1(1(0(0(1(0(0(1(0(0(1(0(0(0(0(0(0(0(0(0(0(0(0(1(0(1(1(0(0(0(1(0(0(1(1(0(0(1(1(1(0(0(1(0(0(0(0(0(0(0(0(1(0(1(0(0(0(0(0(1(1(0(0(0(1(0(0(0(1(1(0(0(0(0(0(1(1(0(1(1(1(0(0(0(1(1(1(1(0(1(1(1(1(1(1(1(0(0(1(0(1(1(1(0(0(1(1(0(1(0(1(0(1(0(0(1(1(1(1(1(0(1(1(1(1(0(1(1(0(0(0(0(0(1(1(1(0(0(0(1(0(0(1(0(1(1(1(0(0(0(1(0(1(1(1(1(0(1(0(0(1(0(0(0(0(0(1(0(0(0(0(0(0(1(1(0(0(1(1(1(0(0(1(0(0(1(1(0(1(0(1(0(1(1(1(1(0(0(1(0(1(1(1(1(0(1(1(0(0(1(0(0(1(0(0(1(0(0(1(1(0(1(0(1(1(1(1(1(0(1(0(1(0(1(0(1(1(1(0(0(1(0(1(1(1(0(0(0(1(1(0(1(1(0(1(1(0(1(0(0(1(0(1(1(0(0(1(1(1(1(1(1(0(0(1(0(0(0(1(1(1(0(0(1(0(0(1(0(1(0(0(1(1(1(1(1(1(1(1(1(0(1(1(1(0(1(1(1(1(1(0(1(0(0(0(1(0(1(1(0(0(1(1(1(0(0(0(0(0(1(0(0(1(0(0(1(0(0(0(1(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(2(2(2(2(2(2(2(2(2(2(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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 14.82/4.65 14.82/4.65 14.82/4.65 14.82/4.65 14.82/4.65 ---------------------------------------- 14.82/4.65 14.82/4.65 (2) 14.82/4.65 Obligation: 14.82/4.65 Q restricted rewrite system: 14.82/4.65 The TRS R consists of the following rules: 14.82/4.65 14.82/4.65 3(4(5(x1))) -> 4(3(5(x1))) 14.82/4.65 14.82/4.65 Q is empty. 14.82/4.65 14.82/4.65 ---------------------------------------- 14.82/4.65 14.82/4.65 (3) Overlay + Local Confluence (EQUIVALENT) 14.82/4.65 The TRS is overlay and locally confluent. By [NOC] we can switch to innermost. 14.82/4.65 ---------------------------------------- 14.82/4.65 14.82/4.65 (4) 14.82/4.65 Obligation: 14.82/4.65 Q restricted rewrite system: 14.82/4.65 The TRS R consists of the following rules: 14.82/4.65 14.82/4.65 3(4(5(x1))) -> 4(3(5(x1))) 14.82/4.65 14.82/4.65 The set Q consists of the following terms: 14.82/4.65 14.82/4.65 3(4(5(x0))) 14.82/4.65 14.82/4.65 14.82/4.65 ---------------------------------------- 14.82/4.65 14.82/4.65 (5) DependencyPairsProof (EQUIVALENT) 14.82/4.65 Using Dependency Pairs [AG00,LPAR04] we result in the following initial DP problem. 14.82/4.65 ---------------------------------------- 14.82/4.65 14.82/4.65 (6) 14.82/4.65 Obligation: 14.82/4.65 Q DP problem: 14.82/4.65 The TRS P consists of the following rules: 14.82/4.65 14.82/4.65 3^1(4(5(x1))) -> 3^1(5(x1)) 14.82/4.65 14.82/4.65 The TRS R consists of the following rules: 14.82/4.65 14.82/4.65 3(4(5(x1))) -> 4(3(5(x1)))
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