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TRS Stand 20472 pair #381715747
details
property
value
status
complete
benchmark
PALINDROME_complete_noand_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n040.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
3.96126484871 seconds
cpu usage
11.480684848
max memory
7.01374464E8
stage attributes
key
value
output-size
36737
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRSRRRProof [EQUIVALENT, 1447 ms] (2) QTRS (3) QTRSRRRProof [EQUIVALENT, 174 ms] (4) QTRS (5) QTRSRRRProof [EQUIVALENT, 126 ms] (6) QTRS (7) QTRSRRRProof [EQUIVALENT, 0 ms] (8) QTRS (9) RisEmptyProof [EQUIVALENT, 0 ms] (10) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: a____(__(X, Y), Z) -> a____(mark(X), a____(mark(Y), mark(Z))) a____(X, nil) -> mark(X) a____(nil, X) -> mark(X) a__U11(tt, V) -> a__U12(a__isPalListKind(V), V) a__U12(tt, V) -> a__U13(a__isNeList(V)) a__U13(tt) -> tt a__U21(tt, V1, V2) -> a__U22(a__isPalListKind(V1), V1, V2) a__U22(tt, V1, V2) -> a__U23(a__isPalListKind(V2), V1, V2) a__U23(tt, V1, V2) -> a__U24(a__isPalListKind(V2), V1, V2) a__U24(tt, V1, V2) -> a__U25(a__isList(V1), V2) a__U25(tt, V2) -> a__U26(a__isList(V2)) a__U26(tt) -> tt a__U31(tt, V) -> a__U32(a__isPalListKind(V), V) a__U32(tt, V) -> a__U33(a__isQid(V)) a__U33(tt) -> tt a__U41(tt, V1, V2) -> a__U42(a__isPalListKind(V1), V1, V2) a__U42(tt, V1, V2) -> a__U43(a__isPalListKind(V2), V1, V2) a__U43(tt, V1, V2) -> a__U44(a__isPalListKind(V2), V1, V2) a__U44(tt, V1, V2) -> a__U45(a__isList(V1), V2) a__U45(tt, V2) -> a__U46(a__isNeList(V2)) a__U46(tt) -> tt a__U51(tt, V1, V2) -> a__U52(a__isPalListKind(V1), V1, V2) a__U52(tt, V1, V2) -> a__U53(a__isPalListKind(V2), V1, V2) a__U53(tt, V1, V2) -> a__U54(a__isPalListKind(V2), V1, V2) a__U54(tt, V1, V2) -> a__U55(a__isNeList(V1), V2) a__U55(tt, V2) -> a__U56(a__isList(V2)) a__U56(tt) -> tt a__U61(tt, V) -> a__U62(a__isPalListKind(V), V) a__U62(tt, V) -> a__U63(a__isQid(V)) a__U63(tt) -> tt a__U71(tt, I, P) -> a__U72(a__isPalListKind(I), P) a__U72(tt, P) -> a__U73(a__isPal(P), P) a__U73(tt, P) -> a__U74(a__isPalListKind(P)) a__U74(tt) -> tt a__U81(tt, V) -> a__U82(a__isPalListKind(V), V) a__U82(tt, V) -> a__U83(a__isNePal(V)) a__U83(tt) -> tt a__U91(tt, V2) -> a__U92(a__isPalListKind(V2)) a__U92(tt) -> tt a__isList(V) -> a__U11(a__isPalListKind(V), V) a__isList(nil) -> tt a__isList(__(V1, V2)) -> a__U21(a__isPalListKind(V1), V1, V2) a__isNeList(V) -> a__U31(a__isPalListKind(V), V) a__isNeList(__(V1, V2)) -> a__U41(a__isPalListKind(V1), V1, V2) a__isNeList(__(V1, V2)) -> a__U51(a__isPalListKind(V1), V1, V2) a__isNePal(V) -> a__U61(a__isPalListKind(V), V) a__isNePal(__(I, __(P, I))) -> a__U71(a__isQid(I), I, P) a__isPal(V) -> a__U81(a__isPalListKind(V), V) a__isPal(nil) -> tt a__isPalListKind(a) -> tt a__isPalListKind(e) -> tt a__isPalListKind(i) -> tt a__isPalListKind(nil) -> tt a__isPalListKind(o) -> tt a__isPalListKind(u) -> tt a__isPalListKind(__(V1, V2)) -> a__U91(a__isPalListKind(V1), V2) a__isQid(a) -> tt a__isQid(e) -> tt a__isQid(i) -> tt a__isQid(o) -> tt a__isQid(u) -> tt mark(__(X1, X2)) -> a____(mark(X1), mark(X2)) mark(U11(X1, X2)) -> a__U11(mark(X1), X2) mark(U12(X1, X2)) -> a__U12(mark(X1), X2) mark(isPalListKind(X)) -> a__isPalListKind(X) mark(U13(X)) -> a__U13(mark(X)) mark(isNeList(X)) -> a__isNeList(X)
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