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TRS_Outermost 2019-04-01 06.45 pair #433314781
details
property
value
status
complete
benchmark
MYNAT_nokinds-noand_L.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n083.star.cs.uiowa.edu
space
Strategy_outermost_added_08
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.31833 seconds
cpu usage
2.75816
user time
2.64438
system time
0.113786
max virtual memory
1.827324E7
max residence set size
192544.0
stage attributes
key
value
starexec-result
NO
output
2.57/1.27 NO 2.57/1.27 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 2.57/1.27 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 2.57/1.27 2.57/1.27 2.57/1.27 Outermost Termination of the given OTRS could be disproven: 2.57/1.27 2.57/1.27 (0) OTRS 2.57/1.27 (1) OutermostNonTerminationProof [COMPLETE, 0 ms] 2.57/1.27 (2) NO 2.57/1.27 2.57/1.27 2.57/1.27 ---------------------------------------- 2.57/1.27 2.57/1.27 (0) 2.57/1.27 Obligation: 2.57/1.27 Term rewrite system R: 2.57/1.27 The TRS R consists of the following rules: 2.57/1.27 2.57/1.27 U41(tt) -> N 2.57/1.27 U52(tt) -> s(plus(N, M)) 2.57/1.27 U72(tt) -> plus(x(N, M), N) 2.57/1.27 U11(tt) -> U12(isNat) 2.57/1.27 U12(tt) -> tt 2.57/1.27 U21(tt) -> tt 2.57/1.27 U31(tt) -> U32(isNat) 2.57/1.27 U32(tt) -> tt 2.57/1.27 U51(tt) -> U52(isNat) 2.57/1.27 U61(tt) -> 0 2.57/1.27 U71(tt) -> U72(isNat) 2.57/1.27 isNat -> tt 2.57/1.27 isNat -> U11(isNat) 2.57/1.27 isNat -> U21(isNat) 2.57/1.27 isNat -> U31(isNat) 2.57/1.27 plus(N, 0) -> U41(isNat) 2.57/1.27 plus(N, s(M)) -> U51(isNat) 2.57/1.27 x(N, 0) -> U61(isNat) 2.57/1.27 x(N, s(M)) -> U71(isNat) 2.57/1.27 2.57/1.27 2.57/1.27 2.57/1.27 Outermost Strategy. 2.57/1.27 2.57/1.27 ---------------------------------------- 2.57/1.27 2.57/1.27 (1) OutermostNonTerminationProof (COMPLETE) 2.57/1.27 Term rewrite system R: 2.57/1.27 The TRS R consists of the following rules: 2.57/1.28 2.57/1.28 U41(tt) -> N 2.57/1.28 U52(tt) -> s(plus(N, M)) 2.57/1.28 U72(tt) -> plus(x(N, M), N) 2.57/1.28 U11(tt) -> U12(isNat) 2.57/1.28 U12(tt) -> tt 2.57/1.28 U21(tt) -> tt 2.57/1.28 U31(tt) -> U32(isNat) 2.57/1.28 U32(tt) -> tt 2.57/1.28 U51(tt) -> U52(isNat) 2.57/1.28 U61(tt) -> 0 2.57/1.28 U71(tt) -> U72(isNat) 2.57/1.28 isNat -> tt 2.57/1.28 isNat -> U11(isNat) 2.57/1.28 isNat -> U21(isNat) 2.57/1.28 isNat -> U31(isNat) 2.57/1.28 plus(N, 0) -> U41(isNat) 2.57/1.28 plus(N, s(M)) -> U51(isNat) 2.57/1.28 x(N, 0) -> U61(isNat) 2.57/1.28 x(N, s(M)) -> U71(isNat) 2.57/1.28 2.57/1.28 2.57/1.28 2.57/1.28 Outermost Strategy. 2.57/1.28 2.57/1.28 ---------- Loop: ---------- 2.57/1.28 2.57/1.28 U41(tt) -> U41(tt) with rule U41(tt) -> N at position [] and matcher [N / U41(tt)] 2.57/1.28 2.57/1.28 Now an instance of the first term with Matcher [ ] occurs in the last term at position []. 2.57/1.28 2.57/1.28 Context: [] 2.57/1.28 2.57/1.28 We used [THIEMANN_LOOPS_UNDER_STRATEGIES] to show that this Loop is an Outermost-Loop. 2.57/1.28 ---------------------------------------- 2.57/1.28 2.57/1.28 (2) 2.57/1.28 NO 2.75/1.31 EOF
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