details

property	value
status	complete
benchmark	Ex5_DLMMU04.xml
ran by	Akihisa Yamada
cpu timeout	1200 seconds
wallclock timeout	300 seconds
memory limit	137438953472 bytes
execution host	n147.star.cs.uiowa.edu
space	CSR_04

run statistics

property	value
solver	AProVE
configuration	standard
runtime (wallclock)	1.65647 seconds
cpu usage	3.70715
user time	3.53078
system time	0.176364
max virtual memory	1.8407092E7
max residence set size	235528.0

stage attributes

key	value
starexec-result	YES

output

YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given CSR could be proven: (0) CSR (1) CSRRRRProof [EQUIVALENT, 56 ms] (2) CSR (3) CSRRRRProof [EQUIVALENT, 18 ms] (4) CSR (5) CSRRRRProof [EQUIVALENT, 0 ms] (6) CSR (7) CSRRRRProof [EQUIVALENT, 7 ms] (8) CSR (9) CSRRRRProof [EQUIVALENT, 0 ms] (10) CSR (11) RisEmptyProof [EQUIVALENT, 0 ms] (12) YES ---------------------------------------- (0) Obligation: Context-sensitive rewrite system: The TRS R consists of the following rules: pairNs -> cons(0, incr(oddNs)) oddNs -> incr(pairNs) incr(cons(X, XS)) -> cons(s(X), incr(XS)) take(0, XS) -> nil take(s(N), cons(X, XS)) -> cons(X, take(N, XS)) zip(nil, XS) -> nil zip(X, nil) -> nil zip(cons(X, XS), cons(Y, YS)) -> cons(pair(X, Y), zip(XS, YS)) tail(cons(X, XS)) -> XS repItems(nil) -> nil repItems(cons(X, XS)) -> cons(X, cons(X, repItems(XS))) The replacement map contains the following entries: pairNs: empty set cons: {1} 0: empty set incr: {1} oddNs: empty set s: {1} take: {1, 2} nil: empty set zip: {1, 2} pair: {1, 2} tail: {1} repItems: {1} ---------------------------------------- (1) CSRRRRProof (EQUIVALENT) The following CSR is given: Context-sensitive rewrite system: The TRS R consists of the following rules: pairNs -> cons(0, incr(oddNs)) oddNs -> incr(pairNs) incr(cons(X, XS)) -> cons(s(X), incr(XS)) take(0, XS) -> nil take(s(N), cons(X, XS)) -> cons(X, take(N, XS)) zip(nil, XS) -> nil zip(X, nil) -> nil zip(cons(X, XS), cons(Y, YS)) -> cons(pair(X, Y), zip(XS, YS)) tail(cons(X, XS)) -> XS repItems(nil) -> nil repItems(cons(X, XS)) -> cons(X, cons(X, repItems(XS))) The replacement map contains the following entries: pairNs: empty set cons: {1} 0: empty set incr: {1} oddNs: empty set s: {1} take: {1, 2} nil: empty set zip: {1, 2} pair: {1, 2} tail: {1} repItems: {1} Used ordering: Polynomial interpretation [POLO]: POL(0) = 0 POL(cons(x_1, x_2)) = 2*x_1 + x_2 POL(incr(x_1)) = 2*x_1 POL(nil) = 0 POL(oddNs) = 0 POL(pair(x_1, x_2)) = x_1 + x_2 POL(pairNs) = 0 POL(repItems(x_1)) = 2 + 2*x_1 POL(s(x_1)) = 2*x_1 popout

output may be truncated. 'popout' for the full output.

job log

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actions

all output return to TRS Contextsensitive