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TRS Conte Sensi 17651 pair #381733366
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
n084.star.cs.uiowa.edu
space
Maude_06
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
2.05008506775 seconds
cpu usage
5.580535415
max memory
3.40606976E8
stage attributes
key
value
output-size
31813
starexec-result
YES
output
/export/starexec/sandbox2/solver/bin/starexec_run_standard /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination of the given CSR could be proven: (0) CSR (1) CSRRRRProof [EQUIVALENT, 106 ms] (2) CSR (3) CSRRRRProof [EQUIVALENT, 0 ms] (4) CSR (5) CSRRRRProof [EQUIVALENT, 10 ms] (6) CSR (7) CSRRRRProof [EQUIVALENT, 25 ms] (8) CSR (9) CSRRRRProof [EQUIVALENT, 0 ms] (10) CSR (11) CSRRRRProof [EQUIVALENT, 10 ms] (12) CSR (13) CSRRRRProof [EQUIVALENT, 15 ms] (14) CSR (15) CSRRRRProof [EQUIVALENT, 0 ms] (16) CSR (17) CSRRRRProof [EQUIVALENT, 7 ms] (18) CSR (19) CSRRRRProof [EQUIVALENT, 0 ms] (20) CSR (21) CSRRRRProof [EQUIVALENT, 0 ms] (22) CSR (23) CSRRRRProof [EQUIVALENT, 4 ms] (24) CSR (25) RisEmptyProof [EQUIVALENT, 0 ms] (26) 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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