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SRS_Standard 2019-03-29 03.29 pair #432286105
details
property
value
status
complete
benchmark
247906.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n121.star.cs.uiowa.edu
space
ICFP_2010
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
20.4072 seconds
cpu usage
76.7355
user time
73.0212
system time
3.71435
max virtual memory
1.9366296E7
max residence set size
8222876.0
stage attributes
key
value
starexec-result
YES
output
66.88/17.93 YES 67.11/17.96 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 67.11/17.96 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 67.11/17.96 67.11/17.96 67.11/17.96 Termination w.r.t. Q of the given QTRS could be proven: 67.11/17.96 67.11/17.96 (0) QTRS 67.11/17.96 (1) FlatCCProof [EQUIVALENT, 0 ms] 67.11/17.96 (2) QTRS 67.11/17.96 (3) RootLabelingProof [EQUIVALENT, 73 ms] 67.11/17.96 (4) QTRS 67.11/17.96 (5) QTRSRRRProof [EQUIVALENT, 3155 ms] 67.11/17.96 (6) QTRS 67.11/17.96 (7) QTRSRRRProof [EQUIVALENT, 52 ms] 67.11/17.96 (8) QTRS 67.11/17.96 (9) QTRSRRRProof [EQUIVALENT, 5 ms] 67.11/17.96 (10) QTRS 67.11/17.96 (11) QTRSRRRProof [EQUIVALENT, 2 ms] 67.11/17.96 (12) QTRS 67.11/17.96 (13) RisEmptyProof [EQUIVALENT, 0 ms] 67.11/17.96 (14) YES 67.11/17.96 67.11/17.96 67.11/17.96 ---------------------------------------- 67.11/17.96 67.11/17.96 (0) 67.11/17.96 Obligation: 67.11/17.96 Q restricted rewrite system: 67.11/17.96 The TRS R consists of the following rules: 67.11/17.96 67.11/17.96 0(x1) -> 1(x1) 67.11/17.96 0(0(x1)) -> 0(x1) 67.11/17.96 3(4(5(x1))) -> 4(3(5(x1))) 67.11/17.96 2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(1(0(1(1(1(1(1(1(1(1(0(0(0(0(0(0(1(1(1(1(1(0(0(1(1(1(1(0(0(1(1(1(1(0(1(1(0(0(0(0(0(1(1(0(0(0(1(1(1(1(0(1(0(1(0(1(1(0(1(0(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(0(0(0(0(1(1(0(1(0(1(0(1(0(1(1(0(1(0(0(0(1(0(1(0(1(1(0(0(0(0(0(0(1(1(1(0(0(0(0(0(1(0(1(1(1(1(0(0(1(1(1(1(0(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(1(1(1(0(1(1(0(0(1(0(1(1(0(0(1(1(0(0(1(0(0(0(0(0(1(0(1(1(0(1(0(1(1(1(0(1(1(1(0(0(0(0(1(1(0(1(0(0(0(1(0(1(0(1(1(1(1(1(0(1(1(0(1(1(1(0(0(0(1(0(0(1(0(0(0(0(0(0(1(1(0(0(0(0(1(1(0(1(1(1(0(0(0(0(1(0(1(0(1(1(0(0(1(0(0(0(1(1(1(0(0(1(0(0(0(0(0(1(0(0(1(0(0(1(0(1(0(1(0(1(1(1(0(0(0(1(0(1(1(1(1(1(1(1(0(x1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 67.11/17.96 1(1(1(1(1(1(0(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(1(1(1(0(1(0(1(0(1(1(0(1(0(0(1(1(0(1(0(1(0(1(0(0(0(0(0(0(0(0(1(0(1(0(1(1(0(0(1(0(0(1(0(0(0(0(1(1(0(1(1(1(1(0(1(0(1(0(0(1(1(0(0(1(0(1(1(0(0(0(1(0(0(0(0(1(1(1(0(0(0(0(0(1(1(1(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(0(0(0(1(1(1(0(1(0(1(0(0(1(0(0(0(0(0(1(0(1(0(0(1(1(1(1(1(0(0(1(1(1(1(1(0(0(0(0(1(1(1(1(1(0(1(1(0(0(0(1(1(0(1(0(0(0(0(1(0(1(1(1(1(1(1(1(1(0(0(1(0(0(0(1(0(1(1(1(1(0(1(1(1(1(1(1(0(1(1(0(0(0(0(1(1(1(1(1(0(1(0(0(0(0(0(1(0(0(1(0(0(0(0(1(0(0(0(1(0(0(1(0(0(0(0(1(1(1(1(1(0(0(0(1(1(0(1(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(1(0(0(0(1(0(1(0(0(0(0(0(1(0(0(1(1(1(0(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(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 67.11/17.96 67.11/17.96 Q is empty. 67.11/17.96 67.11/17.96 ---------------------------------------- 67.11/17.96 67.11/17.96 (1) FlatCCProof (EQUIVALENT) 67.11/17.96 We used flat context closure [ROOTLAB] 67.11/17.96 As Q is empty the flat context closure was sound AND complete. 67.11/17.96 67.11/17.96 ---------------------------------------- 67.11/17.96 67.11/17.96 (2) 67.11/17.96 Obligation: 67.11/17.96 Q restricted rewrite system: 67.11/17.96 The TRS R consists of the following rules: 67.11/17.96 67.11/17.96 0(0(x1)) -> 0(x1) 67.11/17.96 0(0(x1)) -> 0(1(x1)) 67.11/17.96 1(0(x1)) -> 1(1(x1)) 67.11/17.96 3(0(x1)) -> 3(1(x1)) 67.11/17.96 4(0(x1)) -> 4(1(x1)) 67.11/17.96 5(0(x1)) -> 5(1(x1)) 67.11/17.96 2(0(x1)) -> 2(1(x1)) 67.11/17.96 0(3(4(5(x1)))) -> 0(4(3(5(x1)))) 67.11/17.96 1(3(4(5(x1)))) -> 1(4(3(5(x1)))) 67.11/17.96 3(3(4(5(x1)))) -> 3(4(3(5(x1)))) 67.11/17.96 4(3(4(5(x1)))) -> 4(4(3(5(x1)))) 67.11/17.96 5(3(4(5(x1)))) -> 5(4(3(5(x1)))) 67.11/17.96 2(3(4(5(x1)))) -> 2(4(3(5(x1)))) 67.11/17.96 0(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(0(1(0(1(1(0(1(1(1(1(1(1(1(1(0(0(0(0(0(0(1(1(1(1(1(0(0(1(1(1(1(0(0(1(1(1(1(0(1(1(0(0(0(0(0(1(1(0(0(0(1(1(1(1(0(1(0(1(0(1(1(0(1(0(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(0(0(0(0(1(1(0(1(0(1(0(1(0(1(1(0(1(0(0(0(1(0(1(0(1(1(0(0(0(0(0(0(1(1(1(0(0(0(0(0(1(0(1(1(1(1(0(0(1(1(1(1(0(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(1(1(1(0(1(1(0(0(1(0(1(1(0(0(1(1(0(0(1(0(0(0(0(0(1(0(1(1(0(1(0(1(1(1(0(1(1(1(0(0(0(0(1(1(0(1(0(0(0(1(0(1(0(1(1(1(1(1(0(1(1(0(1(1(1(0(0(0(1(0(0(1(0(0(0(0(0(0(1(1(0(0(0(0(1(1(0(1(1(1(0(0(0(0(1(0(1(0(1(1(0(0(1(0(0(0(1(1(1(0(0(1(0(0(0(0(0(1(0(0(1(0(0(1(0(1(0(1(0(1(1(1(0(0(0(1(0(1(1(1(1(1(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 67.11/17.96 1(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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(1(0(1(1(0(1(1(1(1(1(1(1(1(0(0(0(0(0(0(1(1(1(1(1(0(0(1(1(1(1(0(0(1(1(1(1(0(1(1(0(0(0(0(0(1(1(0(0(0(1(1(1(1(0(1(0(1(0(1(1(0(1(0(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(0(0(0(0(1(1(0(1(0(1(0(1(0(1(1(0(1(0(0(0(1(0(1(0(1(1(0(0(0(0(0(0(1(1(1(0(0(0(0(0(1(0(1(1(1(1(0(0(1(1(1(1(0(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(1(1(1(0(1(1(0(0(1(0(1(1(0(0(1(1(0(0(1(0(0(0(0(0(1(0(1(1(0(1(0(1(1(1(0(1(1(1(0(0(0(0(1(1(0(1(0(0(0(1(0(1(0(1(1(1(1(1(0(1(1(0(1(1(1(0(0(0(1(0(0(1(0(0(0(0(0(0(1(1(0(0(0(0(1(1(0(1(1(1(0(0(0(0(1(0(1(0(1(1(0(0(1(0(0(0(1(1(1(0(0(1(0(0(0(0(0(1(0(0(1(0(0(1(0(1(0(1(0(1(1(1(0(0(0(1(0(1(1(1(1(1(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 67.11/17.96 3(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 3(0(0(1(0(1(1(0(1(1(1(1(1(1(1(1(0(0(0(0(0(0(1(1(1(1(1(0(0(1(1(1(1(0(0(1(1(1(1(0(1(1(0(0(0(0(0(1(1(0(0(0(1(1(1(1(0(1(0(1(0(1(1(0(1(0(0(1(1(0(0(1(0(1(0(0(0(0(1(1(1(0(1(1(0(0(0(0(1(1(0(1(0(1(0(1(0(1(1(0(1(0(0(0(1(0(1(0(1(1(0(0(0(0(0(0(1(1(1(0(0(0(0(0(1(0(1(1(1(1(0(0(1(1(1(1(0(1(1(0(1(0(0(0(0(1(0(1(1(1(1(0(1(1(1(0(1(1(0(0(1(0(1(1(0(0(1(1(0(0(1(0(0(0(0(0(1(0(1(1(0(1(0(1(1(1(0(1(1(1(0(0(0(0(1(1(0(1(0(0(0(1(0(1(0(1(1(1(1(1(0(1(1(0(1(1(1(0(0(0(1(0(0(1(0(0(0(0(0(0(1(1(0(0(0(0(1(1(0(1(1(1(0(0(0(0(1(0(1(0(1(1(0(0(1(0(0(0(1(1(1(0(0(1(0(0(0(0(0(1(0(0(1(0(0(1(0(1(0(1(0(1(1(1(0(0(0(1(0(1(1(1(1(1(1(1(0(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 75.90/20.16 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5(1(1(1(1(1(1(0(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(1(1(1(0(1(0(1(0(1(1(0(1(0(0(1(1(0(1(0(1(0(1(0(0(0(0(0(0(0(0(1(0(1(0(1(1(0(0(1(0(0(1(0(0(0(0(1(1(0(1(1(1(1(0(1(0(1(0(0(1(1(0(0(1(0(1(1(0(0(0(1(0(0(0(0(1(1(1(0(0(0(0(0(1(1(1(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(0(0(0(1(1(1(0(1(0(1(0(0(1(0(0(0(0(0(1(0(1(0(0(1(1(1(1(1(0(0(1(1(1(1(1(0(0(0(0(1(1(1(1(1(0(1(1(0(0(0(1(1(0(1(0(0(0(0(1(0(1(1(1(1(1(1(1(1(0(0(1(0(0(0(1(0(1(1(1(1(0(1(1(1(1(1(1(0(1(1(0(0(0(0(1(1(1(1(1(0(1(0(0(0(0(0(1(0(0(1(0(0(0(0(1(0(0(0(1(0(0(1(0(0(0(0(1(1(1(1(1(0(0(0(1(1(0(1(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(1(0(0(0(1(0(1(0(0(0(0(0(1(0(0(1(1(1(0(1(1(x1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) -> 5(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 75.90/20.16 2(1(1(1(1(1(1(0(1(1(1(1(1(1(0(0(0(1(0(1(1(1(0(1(1(1(0(1(0(1(0(1(1(0(1(0(0(1(1(0(1(0(1(0(1(0(0(0(0(0(0(0(0(1(0(1(0(1(1(0(0(1(0(0(1(0(0(0(0(1(1(0(1(1(1(1(0(1(0(1(0(0(1(1(0(0(1(0(1(1(0(0(0(1(0(0(0(0(1(1(1(0(0(0(0(0(1(1(1(0(1(1(0(1(1(0(0(0(0(0(1(0(0(1(0(0(0(0(1(1(1(0(1(0(1(0(0(1(0(0(0(0(0(1(0(1(0(0(1(1(1(1(1(0(0(1(1(1(1(1(0(0(0(0(1(1(1(1(1(0(1(1(0(0(0(1(1(0(1(0(0(0(0(1(0(1(1(1(1(1(1(1(1(0(0(1(0(0(0(1(0(1(1(1(1(0(1(1(1(1(1(1(0(1(1(0(0(0(0(1(1(1(1(1(0(1(0(0(0(0(0(1(0(0(1(0(0(0(0(1(0(0(0(1(0(0(1(0(0(0(0(1(1(1(1(1(0(0(0(1(1(0(1(1(1(0(0(0(1(1(1(1(0(0(1(1(0(1(0(1(1(0(0(0(1(0(1(0(0(0(0(0(1(0(0(1(1(1(0(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(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(2(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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) 75.90/20.16 75.90/20.16 Q is empty. 75.90/20.16 75.90/20.16 ---------------------------------------- 75.90/20.16 75.90/20.16 (3) RootLabelingProof (EQUIVALENT) 75.90/20.16 We used plain root labeling [ROOTLAB] with the following heuristic: 75.90/20.16 LabelAll: All function symbols get labeled 75.90/20.16 75.90/20.16 As Q is empty the root labeling was sound AND complete. 75.90/20.16 75.90/20.16 ---------------------------------------- 75.90/20.16 75.90/20.16 (4) 75.90/20.16 Obligation: 75.90/20.16 Q restricted rewrite system: 75.90/20.16 The TRS R consists of the following rules: 75.90/20.16 75.90/20.16 0_{0_1}(0_{0_1}(x1)) -> 0_{0_1}(x1) 75.90/20.16 0_{0_1}(0_{1_1}(x1)) -> 0_{1_1}(x1) 75.90/20.16 0_{0_1}(0_{3_1}(x1)) -> 0_{3_1}(x1) 75.90/20.16 0_{0_1}(0_{4_1}(x1)) -> 0_{4_1}(x1) 75.90/20.16 0_{0_1}(0_{5_1}(x1)) -> 0_{5_1}(x1)
popout
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return to SRS_Standard 2019-03-29 03.29
