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TRS_Innermost 2019-03-28 22.12 pair #432271048
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
n182.star.cs.uiowa.edu
space
Transformed_CSR_innermost_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
7.22769 seconds
cpu usage
11.708
user time
11.2189
system time
0.489156
max virtual memory
1.8543492E7
max residence set size
684844.0
stage attributes
key
value
starexec-result
YES
output
11.35/7.05 YES 11.48/7.08 proof of /export/starexec/sandbox/benchmark/theBenchmark.xml 11.48/7.08 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 11.48/7.08 11.48/7.08 11.48/7.08 Termination w.r.t. Q of the given QTRS could be proven: 11.48/7.08 11.48/7.08 (0) QTRS 11.48/7.08 (1) QTRSRRRProof [EQUIVALENT, 1427 ms] 11.48/7.08 (2) QTRS 11.48/7.08 (3) QTRSRRRProof [EQUIVALENT, 145 ms] 11.48/7.08 (4) QTRS 11.48/7.08 (5) QTRSRRRProof [EQUIVALENT, 74 ms] 11.48/7.08 (6) QTRS 11.48/7.08 (7) QTRSRRRProof [EQUIVALENT, 7 ms] 11.48/7.08 (8) QTRS 11.48/7.08 (9) QTRSRRRProof [EQUIVALENT, 0 ms] 11.48/7.08 (10) QTRS 11.48/7.08 (11) RisEmptyProof [EQUIVALENT, 0 ms] 11.48/7.08 (12) YES 11.48/7.08 11.48/7.08 11.48/7.08 ---------------------------------------- 11.48/7.08 11.48/7.08 (0) 11.48/7.08 Obligation: 11.48/7.08 Q restricted rewrite system: 11.48/7.08 The TRS R consists of the following rules: 11.48/7.08 11.48/7.08 a____(__(X, Y), Z) -> a____(mark(X), a____(mark(Y), mark(Z))) 11.48/7.08 a____(X, nil) -> mark(X) 11.48/7.08 a____(nil, X) -> mark(X) 11.48/7.08 a__U11(tt, V) -> a__U12(a__isPalListKind(V), V) 11.48/7.08 a__U12(tt, V) -> a__U13(a__isNeList(V)) 11.48/7.08 a__U13(tt) -> tt 11.48/7.08 a__U21(tt, V1, V2) -> a__U22(a__isPalListKind(V1), V1, V2) 11.48/7.08 a__U22(tt, V1, V2) -> a__U23(a__isPalListKind(V2), V1, V2) 11.48/7.08 a__U23(tt, V1, V2) -> a__U24(a__isPalListKind(V2), V1, V2) 11.48/7.08 a__U24(tt, V1, V2) -> a__U25(a__isList(V1), V2) 11.48/7.08 a__U25(tt, V2) -> a__U26(a__isList(V2)) 11.48/7.08 a__U26(tt) -> tt 11.48/7.08 a__U31(tt, V) -> a__U32(a__isPalListKind(V), V) 11.48/7.08 a__U32(tt, V) -> a__U33(a__isQid(V)) 11.48/7.08 a__U33(tt) -> tt 11.48/7.08 a__U41(tt, V1, V2) -> a__U42(a__isPalListKind(V1), V1, V2) 11.48/7.08 a__U42(tt, V1, V2) -> a__U43(a__isPalListKind(V2), V1, V2) 11.48/7.08 a__U43(tt, V1, V2) -> a__U44(a__isPalListKind(V2), V1, V2) 11.48/7.08 a__U44(tt, V1, V2) -> a__U45(a__isList(V1), V2) 11.48/7.08 a__U45(tt, V2) -> a__U46(a__isNeList(V2)) 11.48/7.08 a__U46(tt) -> tt 11.48/7.08 a__U51(tt, V1, V2) -> a__U52(a__isPalListKind(V1), V1, V2) 11.48/7.08 a__U52(tt, V1, V2) -> a__U53(a__isPalListKind(V2), V1, V2) 11.48/7.08 a__U53(tt, V1, V2) -> a__U54(a__isPalListKind(V2), V1, V2) 11.48/7.08 a__U54(tt, V1, V2) -> a__U55(a__isNeList(V1), V2) 11.48/7.08 a__U55(tt, V2) -> a__U56(a__isList(V2)) 11.48/7.08 a__U56(tt) -> tt 11.48/7.08 a__U61(tt, V) -> a__U62(a__isPalListKind(V), V) 11.48/7.08 a__U62(tt, V) -> a__U63(a__isQid(V)) 11.48/7.08 a__U63(tt) -> tt 11.48/7.08 a__U71(tt, I, P) -> a__U72(a__isPalListKind(I), P) 11.48/7.08 a__U72(tt, P) -> a__U73(a__isPal(P), P) 11.48/7.08 a__U73(tt, P) -> a__U74(a__isPalListKind(P)) 11.48/7.08 a__U74(tt) -> tt 11.48/7.08 a__U81(tt, V) -> a__U82(a__isPalListKind(V), V) 11.48/7.08 a__U82(tt, V) -> a__U83(a__isNePal(V)) 11.48/7.08 a__U83(tt) -> tt 11.48/7.08 a__U91(tt, V2) -> a__U92(a__isPalListKind(V2)) 11.48/7.08 a__U92(tt) -> tt 11.48/7.08 a__isList(V) -> a__U11(a__isPalListKind(V), V) 11.48/7.08 a__isList(nil) -> tt 11.48/7.08 a__isList(__(V1, V2)) -> a__U21(a__isPalListKind(V1), V1, V2) 11.48/7.08 a__isNeList(V) -> a__U31(a__isPalListKind(V), V) 11.48/7.08 a__isNeList(__(V1, V2)) -> a__U41(a__isPalListKind(V1), V1, V2) 11.48/7.08 a__isNeList(__(V1, V2)) -> a__U51(a__isPalListKind(V1), V1, V2) 11.48/7.08 a__isNePal(V) -> a__U61(a__isPalListKind(V), V) 11.48/7.08 a__isNePal(__(I, __(P, I))) -> a__U71(a__isQid(I), I, P) 11.48/7.08 a__isPal(V) -> a__U81(a__isPalListKind(V), V) 11.48/7.08 a__isPal(nil) -> tt 11.48/7.08 a__isPalListKind(a) -> tt 11.48/7.08 a__isPalListKind(e) -> tt 11.48/7.08 a__isPalListKind(i) -> tt 11.48/7.08 a__isPalListKind(nil) -> tt 11.48/7.08 a__isPalListKind(o) -> tt 11.48/7.08 a__isPalListKind(u) -> tt 11.48/7.08 a__isPalListKind(__(V1, V2)) -> a__U91(a__isPalListKind(V1), V2) 11.48/7.08 a__isQid(a) -> tt 11.48/7.08 a__isQid(e) -> tt 11.48/7.08 a__isQid(i) -> tt 11.48/7.08 a__isQid(o) -> tt 11.48/7.08 a__isQid(u) -> tt 11.48/7.08 mark(__(X1, X2)) -> a____(mark(X1), mark(X2)) 11.48/7.08 mark(U11(X1, X2)) -> a__U11(mark(X1), X2) 11.48/7.08 mark(U12(X1, X2)) -> a__U12(mark(X1), X2) 11.48/7.08 mark(isPalListKind(X)) -> a__isPalListKind(X) 11.48/7.08 mark(U13(X)) -> a__U13(mark(X)) 11.48/7.08 mark(isNeList(X)) -> a__isNeList(X) 11.48/7.08 mark(U21(X1, X2, X3)) -> a__U21(mark(X1), X2, X3) 11.48/7.08 mark(U22(X1, X2, X3)) -> a__U22(mark(X1), X2, X3) 11.48/7.08 mark(U23(X1, X2, X3)) -> a__U23(mark(X1), X2, X3) 11.48/7.08 mark(U24(X1, X2, X3)) -> a__U24(mark(X1), X2, X3)
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return to TRS_Innermost 2019-03-28 22.12