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TRS Stand 20472 pair #381716442
details
property
value
status
complete
benchmark
PALINDROME_complete_GM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n028.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
2.67668700218 seconds
cpu usage
7.193208588
max memory
4.35068928E8
stage attributes
key
value
output-size
23230
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# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRSRRRProof [EQUIVALENT, 534 ms] (2) QTRS (3) QTRSRRRProof [EQUIVALENT, 62 ms] (4) QTRS (5) QTRSRRRProof [EQUIVALENT, 38 ms] (6) QTRS (7) RisEmptyProof [EQUIVALENT, 0 ms] (8) 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__isNeList(V)) a__U12(tt) -> tt a__U21(tt, V1, V2) -> a__U22(a__isList(V1), V2) a__U22(tt, V2) -> a__U23(a__isList(V2)) a__U23(tt) -> tt a__U31(tt, V) -> a__U32(a__isQid(V)) a__U32(tt) -> tt a__U41(tt, V1, V2) -> a__U42(a__isList(V1), V2) a__U42(tt, V2) -> a__U43(a__isNeList(V2)) a__U43(tt) -> tt a__U51(tt, V1, V2) -> a__U52(a__isNeList(V1), V2) a__U52(tt, V2) -> a__U53(a__isList(V2)) a__U53(tt) -> tt a__U61(tt, V) -> a__U62(a__isQid(V)) a__U62(tt) -> tt a__U71(tt, V) -> a__U72(a__isNePal(V)) a__U72(tt) -> tt a__and(tt, X) -> mark(X) a__isList(V) -> a__U11(a__isPalListKind(V), V) a__isList(nil) -> tt a__isList(__(V1, V2)) -> a__U21(a__and(a__isPalListKind(V1), isPalListKind(V2)), V1, V2) a__isNeList(V) -> a__U31(a__isPalListKind(V), V) a__isNeList(__(V1, V2)) -> a__U41(a__and(a__isPalListKind(V1), isPalListKind(V2)), V1, V2) a__isNeList(__(V1, V2)) -> a__U51(a__and(a__isPalListKind(V1), isPalListKind(V2)), V1, V2) a__isNePal(V) -> a__U61(a__isPalListKind(V), V) a__isNePal(__(I, __(P, I))) -> a__and(a__and(a__isQid(I), isPalListKind(I)), and(isPal(P), isPalListKind(P))) a__isPal(V) -> a__U71(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__and(a__isPalListKind(V1), isPalListKind(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(X)) -> a__U12(mark(X)) mark(isNeList(X)) -> a__isNeList(X) mark(U21(X1, X2, X3)) -> a__U21(mark(X1), X2, X3) mark(U22(X1, X2)) -> a__U22(mark(X1), X2) mark(isList(X)) -> a__isList(X) mark(U23(X)) -> a__U23(mark(X)) mark(U31(X1, X2)) -> a__U31(mark(X1), X2) mark(U32(X)) -> a__U32(mark(X)) mark(isQid(X)) -> a__isQid(X) mark(U41(X1, X2, X3)) -> a__U41(mark(X1), X2, X3) mark(U42(X1, X2)) -> a__U42(mark(X1), X2) mark(U43(X)) -> a__U43(mark(X)) mark(U51(X1, X2, X3)) -> a__U51(mark(X1), X2, X3) mark(U52(X1, X2)) -> a__U52(mark(X1), X2) mark(U53(X)) -> a__U53(mark(X)) mark(U61(X1, X2)) -> a__U61(mark(X1), X2) mark(U62(X)) -> a__U62(mark(X)) mark(U71(X1, X2)) -> a__U71(mark(X1), X2) mark(U72(X)) -> a__U72(mark(X)) mark(isNePal(X)) -> a__isNePal(X) mark(and(X1, X2)) -> a__and(mark(X1), X2) mark(isPalListKind(X)) -> a__isPalListKind(X) mark(isPal(X)) -> a__isPal(X) mark(nil) -> nil
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