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TRS_Contextsensitive 2019-03-21 05.07 pair #429997021
details
property
value
status
complete
benchmark
ExSec4_2_DLMMU04.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n032.star.cs.uiowa.edu
space
CSR_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
1.62498 seconds
cpu usage
3.32357
user time
3.17172
system time
0.151853
max virtual memory
1.8343352E7
max residence set size
222156.0
stage attributes
key
value
starexec-result
YES
output
3.04/1.54 YES 3.04/1.56 proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml 3.04/1.56 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 3.04/1.56 3.04/1.56 3.04/1.56 Termination of the given CSR could be proven: 3.04/1.56 3.04/1.56 (0) CSR 3.04/1.56 (1) CSRInnermostProof [EQUIVALENT, 1 ms] 3.04/1.56 (2) CSR 3.04/1.56 (3) CSDependencyPairsProof [EQUIVALENT, 0 ms] 3.04/1.56 (4) QCSDP 3.04/1.56 (5) QCSDependencyGraphProof [EQUIVALENT, 0 ms] 3.04/1.56 (6) AND 3.04/1.56 (7) QCSDP 3.04/1.56 (8) QCSDPSubtermProof [EQUIVALENT, 0 ms] 3.04/1.56 (9) QCSDP 3.04/1.56 (10) PIsEmptyProof [EQUIVALENT, 0 ms] 3.04/1.56 (11) YES 3.04/1.56 (12) QCSDP 3.04/1.56 (13) QCSDPSubtermProof [EQUIVALENT, 0 ms] 3.04/1.56 (14) QCSDP 3.04/1.56 (15) PIsEmptyProof [EQUIVALENT, 0 ms] 3.04/1.56 (16) YES 3.04/1.56 3.04/1.56 3.04/1.56 ---------------------------------------- 3.04/1.56 3.04/1.56 (0) 3.04/1.56 Obligation: 3.04/1.56 Context-sensitive rewrite system: 3.04/1.56 The TRS R consists of the following rules: 3.04/1.56 3.04/1.56 natsFrom(N) -> cons(N, natsFrom(s(N))) 3.04/1.56 fst(pair(XS, YS)) -> XS 3.04/1.56 snd(pair(XS, YS)) -> YS 3.04/1.56 splitAt(0, XS) -> pair(nil, XS) 3.04/1.56 splitAt(s(N), cons(X, XS)) -> u(splitAt(N, XS), N, X, XS) 3.04/1.56 u(pair(YS, ZS), N, X, XS) -> pair(cons(X, YS), ZS) 3.30/1.61 head(cons(N, XS)) -> N 3.30/1.61 tail(cons(N, XS)) -> XS 3.30/1.61 sel(N, XS) -> head(afterNth(N, XS)) 3.30/1.61 take(N, XS) -> fst(splitAt(N, XS)) 3.30/1.61 afterNth(N, XS) -> snd(splitAt(N, XS)) 3.30/1.61 3.30/1.61 The replacement map contains the following entries: 3.30/1.61 3.30/1.61 natsFrom: {1} 3.30/1.61 cons: {1} 3.30/1.61 s: {1} 3.30/1.61 fst: {1} 3.30/1.61 pair: {1, 2} 3.30/1.61 snd: {1} 3.30/1.61 splitAt: {1, 2} 3.30/1.61 0: empty set 3.30/1.61 nil: empty set 3.30/1.61 u: {1} 3.30/1.61 head: {1} 3.30/1.61 tail: {1} 3.30/1.61 sel: {1, 2} 3.30/1.61 afterNth: {1, 2} 3.30/1.61 take: {1, 2} 3.30/1.61 3.30/1.61 ---------------------------------------- 3.30/1.61 3.30/1.61 (1) CSRInnermostProof (EQUIVALENT) 3.30/1.61 The CSR is orthogonal. By [CS_Inn] we can switch to innermost. 3.30/1.61 ---------------------------------------- 3.30/1.61 3.30/1.61 (2) 3.30/1.61 Obligation: 3.30/1.61 Context-sensitive rewrite system: 3.30/1.61 The TRS R consists of the following rules: 3.30/1.61 3.30/1.61 natsFrom(N) -> cons(N, natsFrom(s(N))) 3.30/1.61 fst(pair(XS, YS)) -> XS 3.30/1.61 snd(pair(XS, YS)) -> YS 3.30/1.61 splitAt(0, XS) -> pair(nil, XS) 3.30/1.61 splitAt(s(N), cons(X, XS)) -> u(splitAt(N, XS), N, X, XS) 3.30/1.61 u(pair(YS, ZS), N, X, XS) -> pair(cons(X, YS), ZS) 3.30/1.61 head(cons(N, XS)) -> N 3.30/1.61 tail(cons(N, XS)) -> XS 3.30/1.61 sel(N, XS) -> head(afterNth(N, XS)) 3.30/1.61 take(N, XS) -> fst(splitAt(N, XS)) 3.30/1.61 afterNth(N, XS) -> snd(splitAt(N, XS)) 3.30/1.61 3.30/1.61 The replacement map contains the following entries: 3.30/1.61 3.30/1.61 natsFrom: {1} 3.30/1.61 cons: {1} 3.30/1.61 s: {1} 3.30/1.61 fst: {1} 3.30/1.61 pair: {1, 2} 3.30/1.61 snd: {1} 3.30/1.61 splitAt: {1, 2} 3.30/1.61 0: empty set 3.30/1.61 nil: empty set 3.30/1.61 u: {1} 3.30/1.61 head: {1} 3.30/1.61 tail: {1}
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