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TRS Innermost pair #487093399
details
property
value
status
complete
benchmark
PALINDROME_nokinds_noand_iGM.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n138.star.cs.uiowa.edu
space
Transformed_CSR_innermost_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
4.8381 seconds
cpu usage
15.5493
user time
14.8326
system time
0.716627
max virtual memory
1.8608252E7
max residence set size
1106544.0
stage attributes
key
value
starexec-result
YES
output
YES proof of /export/starexec/sandbox2/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be proven: (0) QTRS (1) QTRSRRRProof [EQUIVALENT, 308 ms] (2) QTRS (3) QTRSRRRProof [EQUIVALENT, 230 ms] (4) QTRS (5) QTRSRRRProof [EQUIVALENT, 204 ms] (6) QTRS (7) QTRSRRRProof [EQUIVALENT, 115 ms] (8) QTRS (9) QTRSRRRProof [EQUIVALENT, 67 ms] (10) QTRS (11) QTRSRRRProof [EQUIVALENT, 64 ms] (12) QTRS (13) QTRSRRRProof [EQUIVALENT, 138 ms] (14) QTRS (15) QTRSRRRProof [EQUIVALENT, 51 ms] (16) QTRS (17) QTRSRRRProof [EQUIVALENT, 53 ms] (18) QTRS (19) QTRSRRRProof [EQUIVALENT, 89 ms] (20) QTRS (21) QTRSRRRProof [EQUIVALENT, 20 ms] (22) QTRS (23) QTRSRRRProof [EQUIVALENT, 5 ms] (24) QTRS (25) QTRSRRRProof [EQUIVALENT, 0 ms] (26) QTRS (27) QTRSRRRProof [EQUIVALENT, 0 ms] (28) QTRS (29) QTRSRRRProof [EQUIVALENT, 4 ms] (30) QTRS (31) RisEmptyProof [EQUIVALENT, 0 ms] (32) YES ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: active(__(__(X, Y), Z)) -> mark(__(X, __(Y, Z))) active(__(X, nil)) -> mark(X) active(__(nil, X)) -> mark(X) active(U11(tt)) -> mark(tt) active(U21(tt, V2)) -> mark(U22(isList(V2))) active(U22(tt)) -> mark(tt) active(U31(tt)) -> mark(tt) active(U41(tt, V2)) -> mark(U42(isNeList(V2))) active(U42(tt)) -> mark(tt) active(U51(tt, V2)) -> mark(U52(isList(V2))) active(U52(tt)) -> mark(tt) active(U61(tt)) -> mark(tt) active(U71(tt, P)) -> mark(U72(isPal(P))) active(U72(tt)) -> mark(tt) active(U81(tt)) -> mark(tt) active(isList(V)) -> mark(U11(isNeList(V))) active(isList(nil)) -> mark(tt) active(isList(__(V1, V2))) -> mark(U21(isList(V1), V2)) active(isNeList(V)) -> mark(U31(isQid(V))) active(isNeList(__(V1, V2))) -> mark(U41(isList(V1), V2)) active(isNeList(__(V1, V2))) -> mark(U51(isNeList(V1), V2)) active(isNePal(V)) -> mark(U61(isQid(V))) active(isNePal(__(I, __(P, I)))) -> mark(U71(isQid(I), P)) active(isPal(V)) -> mark(U81(isNePal(V))) active(isPal(nil)) -> mark(tt) active(isQid(a)) -> mark(tt) active(isQid(e)) -> mark(tt) active(isQid(i)) -> mark(tt) active(isQid(o)) -> mark(tt) active(isQid(u)) -> mark(tt) mark(__(X1, X2)) -> active(__(mark(X1), mark(X2))) mark(nil) -> active(nil) mark(U11(X)) -> active(U11(mark(X))) mark(tt) -> active(tt) mark(U21(X1, X2)) -> active(U21(mark(X1), X2)) mark(U22(X)) -> active(U22(mark(X))) mark(isList(X)) -> active(isList(X)) mark(U31(X)) -> active(U31(mark(X))) mark(U41(X1, X2)) -> active(U41(mark(X1), X2)) mark(U42(X)) -> active(U42(mark(X))) mark(isNeList(X)) -> active(isNeList(X)) mark(U51(X1, X2)) -> active(U51(mark(X1), X2)) mark(U52(X)) -> active(U52(mark(X))) mark(U61(X)) -> active(U61(mark(X))) mark(U71(X1, X2)) -> active(U71(mark(X1), X2)) mark(U72(X)) -> active(U72(mark(X))) mark(isPal(X)) -> active(isPal(X)) mark(U81(X)) -> active(U81(mark(X))) mark(isQid(X)) -> active(isQid(X)) mark(isNePal(X)) -> active(isNePal(X)) mark(a) -> active(a)
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