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TRS Standard pair #487070363
details
property
value
status
complete
benchmark
PALINDROME_nokinds-noand_L.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n073.star.cs.uiowa.edu
space
Transformed_CSR_04
run statistics
property
value
solver
AProVE
configuration
standard
runtime (wallclock)
124.384 seconds
cpu usage
419.221
user time
409.222
system time
9.99875
max virtual memory
3.72417E7
max residence set size
1.4688324E7
stage attributes
key
value
starexec-result
NO
output
NO proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty Termination w.r.t. Q of the given QTRS could be disproven: (0) QTRS (1) QTRSRRRProof [EQUIVALENT, 58 ms] (2) QTRS (3) QTRSRRRProof [EQUIVALENT, 16 ms] (4) QTRS (5) QTRSRRRProof [EQUIVALENT, 14 ms] (6) QTRS (7) DependencyPairsProof [EQUIVALENT, 5 ms] (8) QDP (9) DependencyGraphProof [EQUIVALENT, 0 ms] (10) AND (11) QDP (12) UsableRulesProof [EQUIVALENT, 0 ms] (13) QDP (14) MNOCProof [EQUIVALENT, 0 ms] (15) QDP (16) TransformationProof [EQUIVALENT, 0 ms] (17) QDP (18) UsableRulesProof [EQUIVALENT, 0 ms] (19) QDP (20) QReductionProof [EQUIVALENT, 0 ms] (21) QDP (22) NonTerminationLoopProof [COMPLETE, 0 ms] (23) NO (24) QDP (25) NonLoopProof [COMPLETE, 0 ms] (26) NO ---------------------------------------- (0) Obligation: Q restricted rewrite system: The TRS R consists of the following rules: __(__(X, Y), Z) -> __(X, __(Y, Z)) __(X, nil) -> X __(nil, X) -> X U11(tt) -> tt U21(tt) -> U22(isList) U22(tt) -> tt U31(tt) -> tt U41(tt) -> U42(isNeList) U42(tt) -> tt U51(tt) -> U52(isList) U52(tt) -> tt U61(tt) -> tt U71(tt) -> U72(isPal) U72(tt) -> tt U81(tt) -> tt isList -> U11(isNeList) isList -> tt isList -> U21(isList) isNeList -> U31(isQid) isNeList -> U41(isList) isNeList -> U51(isNeList) isNePal -> U61(isQid) isNePal -> U71(isQid) isPal -> U81(isNePal) isPal -> tt isQid -> tt Q is empty. ---------------------------------------- (1) QTRSRRRProof (EQUIVALENT) Used ordering: Polynomial interpretation [POLO]: POL(U11(x_1)) = 2*x_1 POL(U21(x_1)) = x_1 POL(U22(x_1)) = x_1 POL(U31(x_1)) = x_1 POL(U41(x_1)) = x_1 POL(U42(x_1)) = x_1 POL(U51(x_1)) = x_1 POL(U52(x_1)) = x_1 POL(U61(x_1)) = x_1 POL(U71(x_1)) = x_1 POL(U72(x_1)) = x_1 POL(U81(x_1)) = x_1 POL(__(x_1, x_2)) = 2 + x_1 + x_2 POL(isList) = 0 POL(isNeList) = 0 POL(isNePal) = 0 POL(isPal) = 0 POL(isQid) = 0 POL(nil) = 2 POL(tt) = 0 With this ordering the following rules can be removed by the rule removal processor [LPAR04] because they are oriented strictly:
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