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TRS_Relative 2019-03-21 03.54 pair #429988719
details
property
value
status
complete
benchmark
rt3-5.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n043.star.cs.uiowa.edu
space
Relative_05
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
3.17318 seconds
cpu usage
8.64798
user time
8.1786
system time
0.469376
max virtual memory
1.9596984E7
max residence set size
1059960.0
stage attributes
key
value
starexec-result
YES
output
8.14/3.00 YES 8.37/3.10 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 8.37/3.10 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 8.37/3.10 8.37/3.10 8.37/3.10 Termination of the given RelTRS could be proven: 8.37/3.10 8.37/3.10 (0) RelTRS 8.37/3.10 (1) RelTRS Reverse [EQUIVALENT, 0 ms] 8.37/3.10 (2) RelTRS 8.37/3.10 (3) FlatCCProof [EQUIVALENT, 0 ms] 8.37/3.10 (4) RelTRS 8.37/3.10 (5) RootLabelingProof [EQUIVALENT, 1 ms] 8.37/3.10 (6) RelTRS 8.37/3.10 (7) RelTRSRRRProof [EQUIVALENT, 20 ms] 8.37/3.10 (8) RelTRS 8.37/3.10 (9) RelTRSRRRProof [EQUIVALENT, 156 ms] 8.37/3.10 (10) RelTRS 8.37/3.10 (11) RelTRSRRRProof [EQUIVALENT, 80 ms] 8.37/3.10 (12) RelTRS 8.37/3.10 (13) RIsEmptyProof [EQUIVALENT, 1 ms] 8.37/3.10 (14) YES 8.37/3.10 8.37/3.10 8.37/3.10 ---------------------------------------- 8.37/3.10 8.37/3.10 (0) 8.37/3.10 Obligation: 8.37/3.10 Relative term rewrite system: 8.37/3.10 The relative TRS consists of the following R rules: 8.37/3.10 8.37/3.10 f(g(f(x))) -> f(g(g(g(f(x))))) 8.37/3.10 8.37/3.10 The relative TRS consists of the following S rules: 8.37/3.10 8.37/3.10 g(x) -> g(g(x)) 8.37/3.10 g(x) -> g(g(f(g(g(x))))) 8.37/3.10 f(x) -> g(g(f(g(g(x))))) 8.37/3.10 8.37/3.10 8.37/3.10 ---------------------------------------- 8.37/3.10 8.37/3.10 (1) RelTRS Reverse (EQUIVALENT) 8.37/3.10 We have reversed the following relative TRS [REVERSE]: 8.37/3.10 The set of rules R is 8.37/3.10 f(g(f(x))) -> f(g(g(g(f(x))))) 8.37/3.10 8.37/3.10 The set of rules S is 8.37/3.10 g(x) -> g(g(x)) 8.37/3.10 g(x) -> g(g(f(g(g(x))))) 8.37/3.10 f(x) -> g(g(f(g(g(x))))) 8.37/3.10 8.37/3.10 We have obtained the following relative TRS: 8.37/3.10 The set of rules R is 8.37/3.10 f(g(f(x))) -> f(g(g(g(f(x))))) 8.37/3.10 8.37/3.10 The set of rules S is 8.37/3.10 g(x) -> g(g(x)) 8.37/3.10 g(x) -> g(g(f(g(g(x))))) 8.37/3.10 f(x) -> g(g(f(g(g(x))))) 8.37/3.10 8.37/3.10 8.37/3.10 ---------------------------------------- 8.37/3.10 8.37/3.10 (2) 8.37/3.10 Obligation: 8.37/3.10 Relative term rewrite system: 8.37/3.10 The relative TRS consists of the following R rules: 8.37/3.10 8.37/3.10 f(g(f(x))) -> f(g(g(g(f(x))))) 8.37/3.10 8.37/3.10 The relative TRS consists of the following S rules: 8.37/3.10 8.37/3.10 g(x) -> g(g(x)) 8.37/3.10 g(x) -> g(g(f(g(g(x))))) 8.37/3.10 f(x) -> g(g(f(g(g(x))))) 8.37/3.10 8.37/3.10 8.37/3.10 ---------------------------------------- 8.37/3.10 8.37/3.10 (3) FlatCCProof (EQUIVALENT) 8.37/3.10 We used flat context closure [ROOTLAB] 8.37/3.10 8.37/3.10 ---------------------------------------- 8.37/3.10 8.37/3.10 (4) 8.37/3.10 Obligation: 8.37/3.10 Relative term rewrite system: 8.37/3.10 The relative TRS consists of the following R rules: 8.37/3.10 8.37/3.10 f(g(f(x))) -> f(g(g(g(f(x))))) 8.37/3.10 8.37/3.10 The relative TRS consists of the following S rules: 8.37/3.10 8.37/3.10 g(x) -> g(g(x)) 8.37/3.10 g(x) -> g(g(f(g(g(x))))) 8.37/3.10 f(f(x)) -> f(g(g(f(g(g(x)))))) 8.37/3.10 g(f(x)) -> g(g(g(f(g(g(x)))))) 8.37/3.10 8.37/3.10
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