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TRS_Innermost 2019-03-28 22.12 pair #432270860
details
property
value
status
complete
benchmark
PALINDROME_complete_noand_iGM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n173.star.cs.uiowa.edu
space
Transformed_CSR_innermost_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
9.14805 seconds
cpu usage
21.6977
user time
20.9658
system time
0.731837
max virtual memory
3.6714792E7
max residence set size
1160868.0
stage attributes
key
value
starexec-result
YES
output
21.08/8.98 YES 21.38/9.08 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 21.38/9.08 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 21.38/9.08 21.38/9.08 21.38/9.08 Termination w.r.t. Q of the given QTRS could be proven: 21.38/9.08 21.38/9.08 (0) QTRS 21.38/9.08 (1) QTRSRRRProof [EQUIVALENT, 2041 ms] 21.38/9.08 (2) QTRS 21.38/9.08 (3) QTRSRRRProof [EQUIVALENT, 1103 ms] 21.38/9.08 (4) QTRS 21.38/9.08 (5) QTRSRRRProof [EQUIVALENT, 206 ms] 21.38/9.08 (6) QTRS 21.38/9.08 (7) QTRSRRRProof [EQUIVALENT, 354 ms] 21.38/9.08 (8) QTRS 21.38/9.08 (9) QTRSRRRProof [EQUIVALENT, 51 ms] 21.38/9.08 (10) QTRS 21.38/9.08 (11) RisEmptyProof [EQUIVALENT, 0 ms] 21.38/9.08 (12) YES 21.38/9.08 21.38/9.08 21.38/9.08 ---------------------------------------- 21.38/9.08 21.38/9.08 (0) 21.38/9.08 Obligation: 21.38/9.08 Q restricted rewrite system: 21.38/9.08 The TRS R consists of the following rules: 21.38/9.08 21.38/9.08 active(__(__(X, Y), Z)) -> mark(__(X, __(Y, Z))) 21.38/9.08 active(__(X, nil)) -> mark(X) 21.38/9.08 active(__(nil, X)) -> mark(X) 21.38/9.08 active(U11(tt, V)) -> mark(U12(isPalListKind(V), V)) 21.38/9.08 active(U12(tt, V)) -> mark(U13(isNeList(V))) 21.38/9.08 active(U13(tt)) -> mark(tt) 21.38/9.08 active(U21(tt, V1, V2)) -> mark(U22(isPalListKind(V1), V1, V2)) 21.38/9.08 active(U22(tt, V1, V2)) -> mark(U23(isPalListKind(V2), V1, V2)) 21.38/9.08 active(U23(tt, V1, V2)) -> mark(U24(isPalListKind(V2), V1, V2)) 21.38/9.08 active(U24(tt, V1, V2)) -> mark(U25(isList(V1), V2)) 21.38/9.08 active(U25(tt, V2)) -> mark(U26(isList(V2))) 21.38/9.08 active(U26(tt)) -> mark(tt) 21.38/9.08 active(U31(tt, V)) -> mark(U32(isPalListKind(V), V)) 21.38/9.08 active(U32(tt, V)) -> mark(U33(isQid(V))) 21.38/9.08 active(U33(tt)) -> mark(tt) 21.38/9.08 active(U41(tt, V1, V2)) -> mark(U42(isPalListKind(V1), V1, V2)) 21.38/9.08 active(U42(tt, V1, V2)) -> mark(U43(isPalListKind(V2), V1, V2)) 21.38/9.08 active(U43(tt, V1, V2)) -> mark(U44(isPalListKind(V2), V1, V2)) 21.38/9.08 active(U44(tt, V1, V2)) -> mark(U45(isList(V1), V2)) 21.38/9.08 active(U45(tt, V2)) -> mark(U46(isNeList(V2))) 21.38/9.08 active(U46(tt)) -> mark(tt) 21.38/9.08 active(U51(tt, V1, V2)) -> mark(U52(isPalListKind(V1), V1, V2)) 21.38/9.08 active(U52(tt, V1, V2)) -> mark(U53(isPalListKind(V2), V1, V2)) 21.38/9.08 active(U53(tt, V1, V2)) -> mark(U54(isPalListKind(V2), V1, V2)) 21.38/9.08 active(U54(tt, V1, V2)) -> mark(U55(isNeList(V1), V2)) 21.38/9.08 active(U55(tt, V2)) -> mark(U56(isList(V2))) 21.38/9.08 active(U56(tt)) -> mark(tt) 21.38/9.08 active(U61(tt, V)) -> mark(U62(isPalListKind(V), V)) 21.38/9.08 active(U62(tt, V)) -> mark(U63(isQid(V))) 21.38/9.08 active(U63(tt)) -> mark(tt) 21.38/9.08 active(U71(tt, I, P)) -> mark(U72(isPalListKind(I), P)) 21.38/9.08 active(U72(tt, P)) -> mark(U73(isPal(P), P)) 21.38/9.08 active(U73(tt, P)) -> mark(U74(isPalListKind(P))) 21.38/9.08 active(U74(tt)) -> mark(tt) 21.38/9.08 active(U81(tt, V)) -> mark(U82(isPalListKind(V), V)) 21.38/9.08 active(U82(tt, V)) -> mark(U83(isNePal(V))) 21.38/9.08 active(U83(tt)) -> mark(tt) 21.38/9.08 active(U91(tt, V2)) -> mark(U92(isPalListKind(V2))) 21.38/9.08 active(U92(tt)) -> mark(tt) 21.38/9.08 active(isList(V)) -> mark(U11(isPalListKind(V), V)) 21.38/9.08 active(isList(nil)) -> mark(tt) 21.38/9.08 active(isList(__(V1, V2))) -> mark(U21(isPalListKind(V1), V1, V2)) 21.38/9.08 active(isNeList(V)) -> mark(U31(isPalListKind(V), V)) 21.38/9.08 active(isNeList(__(V1, V2))) -> mark(U41(isPalListKind(V1), V1, V2)) 21.38/9.08 active(isNeList(__(V1, V2))) -> mark(U51(isPalListKind(V1), V1, V2)) 21.38/9.08 active(isNePal(V)) -> mark(U61(isPalListKind(V), V)) 21.38/9.08 active(isNePal(__(I, __(P, I)))) -> mark(U71(isQid(I), I, P)) 21.38/9.08 active(isPal(V)) -> mark(U81(isPalListKind(V), V)) 21.38/9.08 active(isPal(nil)) -> mark(tt) 21.38/9.08 active(isPalListKind(a)) -> mark(tt) 21.38/9.08 active(isPalListKind(e)) -> mark(tt) 21.38/9.08 active(isPalListKind(i)) -> mark(tt) 21.38/9.08 active(isPalListKind(nil)) -> mark(tt) 21.38/9.08 active(isPalListKind(o)) -> mark(tt) 21.38/9.08 active(isPalListKind(u)) -> mark(tt) 21.38/9.08 active(isPalListKind(__(V1, V2))) -> mark(U91(isPalListKind(V1), V2)) 21.38/9.08 active(isQid(a)) -> mark(tt) 21.38/9.08 active(isQid(e)) -> mark(tt) 21.38/9.08 active(isQid(i)) -> mark(tt) 21.38/9.08 active(isQid(o)) -> mark(tt) 21.38/9.08 active(isQid(u)) -> mark(tt) 21.38/9.08 mark(__(X1, X2)) -> active(__(mark(X1), mark(X2))) 21.38/9.08 mark(nil) -> active(nil) 21.38/9.08 mark(U11(X1, X2)) -> active(U11(mark(X1), X2)) 21.38/9.08 mark(tt) -> active(tt) 21.38/9.08 mark(U12(X1, X2)) -> active(U12(mark(X1), X2)) 21.38/9.08 mark(isPalListKind(X)) -> active(isPalListKind(X)) 21.38/9.08 mark(U13(X)) -> active(U13(mark(X))) 21.38/9.08 mark(isNeList(X)) -> active(isNeList(X)) 21.38/9.08 mark(U21(X1, X2, X3)) -> active(U21(mark(X1), X2, X3)) 21.38/9.08 mark(U22(X1, X2, X3)) -> active(U22(mark(X1), X2, X3))
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return to TRS_Innermost 2019-03-28 22.12