Spaces
Explore
Communities
Statistics
Reports
Cluster
Status
Help
TRS Inner 89993 pair #381734145
details
property
value
status
complete
benchmark
LengthOfFiniteLists_nokinds_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n034.star.cs.uiowa.edu
space
Transformed_CSR_innermost_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
2.19536209106 seconds
cpu usage
5.92439546
max memory
3.83737856E8
stage attributes
key
value
output-size
17660
starexec-result
YES
output
/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRSRRRProof [EQUIVALENT, 99 ms] (2) QTRS (3) QTRSRRRProof [EQUIVALENT, 38 ms] (4) QTRS (5) QTRSRRRProof [EQUIVALENT, 34 ms] (6) QTRS (7) QTRSRRRProof [EQUIVALENT, 21 ms] (8) QTRS (9) QTRSRRRProof [EQUIVALENT, 0 ms] (10) QTRS (11) QTRSRRRProof [EQUIVALENT, 11 ms] (12) QTRS (13) QTRSRRRProof [EQUIVALENT, 0 ms] (14) QTRS (15) RisEmptyProof [EQUIVALENT, 0 ms] (16) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a__zeros -> cons(0, zeros) a__U11(tt, L) -> s(a__length(mark(L))) a__and(tt, X) -> mark(X) a__isNat(0) -> tt a__isNat(length(V1)) -> a__isNatList(V1) a__isNat(s(V1)) -> a__isNat(V1) a__isNatIList(V) -> a__isNatList(V) a__isNatIList(zeros) -> tt a__isNatIList(cons(V1, V2)) -> a__and(a__isNat(V1), isNatIList(V2)) a__isNatList(nil) -> tt a__isNatList(cons(V1, V2)) -> a__and(a__isNat(V1), isNatList(V2)) a__length(nil) -> 0 a__length(cons(N, L)) -> a__U11(a__and(a__isNatList(L), isNat(N)), L) mark(zeros) -> a__zeros mark(U11(X1, X2)) -> a__U11(mark(X1), X2) mark(length(X)) -> a__length(mark(X)) mark(and(X1, X2)) -> a__and(mark(X1), X2) mark(isNat(X)) -> a__isNat(X) mark(isNatList(X)) -> a__isNatList(X) mark(isNatIList(X)) -> a__isNatIList(X) mark(cons(X1, X2)) -> cons(mark(X1), X2) mark(0) -> 0 mark(tt) -> tt mark(s(X)) -> s(mark(X)) mark(nil) -> nil a__zeros -> zeros a__U11(X1, X2) -> U11(X1, X2) a__length(X) -> length(X) a__and(X1, X2) -> and(X1, X2) a__isNat(X) -> isNat(X) a__isNatList(X) -> isNatList(X) a__isNatIList(X) -> isNatIList(X) The set Q consists of the following terms: a__zeros a__isNatIList(x0) mark(zeros) mark(U11(x0, x1)) mark(length(x0)) mark(and(x0, x1)) mark(isNat(x0)) mark(isNatList(x0)) mark(isNatIList(x0)) mark(cons(x0, x1)) mark(0) mark(tt) mark(s(x0)) mark(nil) a__U11(x0, x1) a__length(x0) a__and(x0, x1) a__isNat(x0) a__isNatList(x0) ---------------------------------------- (1) QTRSRRRProof (EQUIVALENT) Used ordering: Polynomial interpretation [POLO]:
popout
output may be truncated. 'popout' for the full output.
job log
popout
actions
all output
return to TRS Inner 89993