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TRS Stand 20472 pair #381716247
details
property
value
status
complete
benchmark
OvConsOS_nokinds_noand_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n014.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
4.40903186798 seconds
cpu usage
13.674437913
max memory
1.082085376E9
stage attributes
key
value
output-size
62572
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) DependencyPairsProof [EQUIVALENT, 0 ms] (2) QDP (3) DependencyGraphProof [EQUIVALENT, 0 ms] (4) AND (5) QDP (6) UsableRulesProof [EQUIVALENT, 0 ms] (7) QDP (8) QDPSizeChangeProof [EQUIVALENT, 0 ms] (9) YES (10) QDP (11) QDPOrderProof [EQUIVALENT, 296 ms] (12) QDP (13) DependencyGraphProof [EQUIVALENT, 0 ms] (14) AND (15) QDP (16) QDPOrderProof [EQUIVALENT, 142 ms] (17) QDP (18) DependencyGraphProof [EQUIVALENT, 0 ms] (19) QDP (20) UsableRulesProof [EQUIVALENT, 0 ms] (21) QDP (22) QDPSizeChangeProof [EQUIVALENT, 0 ms] (23) YES (24) QDP (25) QDPOrderProof [EQUIVALENT, 144 ms] (26) QDP (27) DependencyGraphProof [EQUIVALENT, 0 ms] (28) TRUE ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a__zeros -> cons(0, zeros) a__U11(tt) -> tt a__U21(tt) -> tt a__U31(tt) -> tt a__U41(tt, V2) -> a__U42(a__isNatIList(V2)) a__U42(tt) -> tt a__U51(tt, V2) -> a__U52(a__isNatList(V2)) a__U52(tt) -> tt a__U61(tt, V2) -> a__U62(a__isNatIList(V2)) a__U62(tt) -> tt a__U71(tt, L, N) -> a__U72(a__isNat(N), L) a__U72(tt, L) -> s(a__length(mark(L))) a__U81(tt) -> nil a__U91(tt, IL, M, N) -> a__U92(a__isNat(M), IL, M, N) a__U92(tt, IL, M, N) -> a__U93(a__isNat(N), IL, M, N) a__U93(tt, IL, M, N) -> cons(mark(N), take(M, IL)) a__isNat(0) -> tt a__isNat(length(V1)) -> a__U11(a__isNatList(V1)) a__isNat(s(V1)) -> a__U21(a__isNat(V1)) a__isNatIList(V) -> a__U31(a__isNatList(V)) a__isNatIList(zeros) -> tt a__isNatIList(cons(V1, V2)) -> a__U41(a__isNat(V1), V2) a__isNatList(nil) -> tt a__isNatList(cons(V1, V2)) -> a__U51(a__isNat(V1), V2) a__isNatList(take(V1, V2)) -> a__U61(a__isNat(V1), V2) a__length(nil) -> 0 a__length(cons(N, L)) -> a__U71(a__isNatList(L), L, N) a__take(0, IL) -> a__U81(a__isNatIList(IL)) a__take(s(M), cons(N, IL)) -> a__U91(a__isNatIList(IL), IL, M, N) mark(zeros) -> a__zeros mark(U11(X)) -> a__U11(mark(X)) mark(U21(X)) -> a__U21(mark(X)) mark(U31(X)) -> a__U31(mark(X)) mark(U41(X1, X2)) -> a__U41(mark(X1), X2) mark(U42(X)) -> a__U42(mark(X)) mark(isNatIList(X)) -> a__isNatIList(X) mark(U51(X1, X2)) -> a__U51(mark(X1), X2) mark(U52(X)) -> a__U52(mark(X)) mark(isNatList(X)) -> a__isNatList(X) mark(U61(X1, X2)) -> a__U61(mark(X1), X2) mark(U62(X)) -> a__U62(mark(X)) mark(U71(X1, X2, X3)) -> a__U71(mark(X1), X2, X3) mark(U72(X1, X2)) -> a__U72(mark(X1), X2) mark(isNat(X)) -> a__isNat(X) mark(length(X)) -> a__length(mark(X)) mark(U81(X)) -> a__U81(mark(X)) mark(U91(X1, X2, X3, X4)) -> a__U91(mark(X1), X2, X3, X4) mark(U92(X1, X2, X3, X4)) -> a__U92(mark(X1), X2, X3, X4) mark(U93(X1, X2, X3, X4)) -> a__U93(mark(X1), X2, X3, X4)
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