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TRS Contextsensitive pair #487092637
details
property
value
status
complete
benchmark
LengthOfFiniteLists_nokinds-noand.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n146.star.cs.uiowa.edu
space
Maude_06
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
2.24787 seconds
cpu usage
5.61655
user time
5.35393
system time
0.262615
max virtual memory
1.8407092E7
max residence set size
347416.0
stage attributes
key
value
starexec-result
YES
output
YES proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination of the given CSR could be proven: (0) CSR (1) CSRRRRProof [EQUIVALENT, 54 ms] (2) CSR (3) CSRRRRProof [EQUIVALENT, 3 ms] (4) CSR (5) CSRRRRProof [EQUIVALENT, 0 ms] (6) CSR (7) CSRRRRProof [EQUIVALENT, 8 ms] (8) CSR (9) CSRRRRProof [EQUIVALENT, 0 ms] (10) CSR (11) CSRRRRProof [EQUIVALENT, 0 ms] (12) CSR (13) CSRRRRProof [EQUIVALENT, 17 ms] (14) CSR (15) CSRRRRProof [EQUIVALENT, 0 ms] (16) CSR (17) CSRRRRProof [EQUIVALENT, 10 ms] (18) CSR (19) CSRRRRProof [EQUIVALENT, 0 ms] (20) CSR (21) CSRRRRProof [EQUIVALENT, 0 ms] (22) CSR (23) CSRRRRProof [EQUIVALENT, 13 ms] (24) CSR (25) CSRRRRProof [EQUIVALENT, 0 ms] (26) CSR (27) CSRRRRProof [EQUIVALENT, 0 ms] (28) CSR (29) CSRRRRProof [EQUIVALENT, 0 ms] (30) CSR (31) RisEmptyProof [EQUIVALENT, 0 ms] (32) YES ---------------------------------------- (0) Obligation: Context-sensitive rewrite system: The TRS R consists of the following rules: zeros -> cons(0, zeros) U11(tt) -> tt U21(tt) -> tt U31(tt) -> tt U41(tt, V2) -> U42(isNatIList(V2)) U42(tt) -> tt U51(tt, V2) -> U52(isNatList(V2)) U52(tt) -> tt U61(tt, L, N) -> U62(isNat(N), L) U62(tt, L) -> s(length(L)) isNat(0) -> tt isNat(length(V1)) -> U11(isNatList(V1)) isNat(s(V1)) -> U21(isNat(V1)) isNatIList(V) -> U31(isNatList(V)) isNatIList(zeros) -> tt isNatIList(cons(V1, V2)) -> U41(isNat(V1), V2) isNatList(nil) -> tt isNatList(cons(V1, V2)) -> U51(isNat(V1), V2) length(nil) -> 0 length(cons(N, L)) -> U61(isNatList(L), L, N) The replacement map contains the following entries: zeros: empty set cons: {1} 0: empty set U11: {1} tt: empty set U21: {1} U31: {1} U41: {1} U42: {1} isNatIList: empty set U51: {1} U52: {1} isNatList: empty set U61: {1} U62: {1} isNat: empty set s: {1} length: {1} nil: empty set ---------------------------------------- (1) CSRRRRProof (EQUIVALENT) The following CSR is given: Context-sensitive rewrite system: The TRS R consists of the following rules: zeros -> cons(0, zeros) U11(tt) -> tt
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