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Runtime Complexity: TRS Innermost pair #487112710
details
property
value
status
complete
benchmark
disjconj.xml
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n145.star.cs.uiowa.edu
space
Frederiksen_Glenstrup
run statistics
property
value
solver
AProVE
configuration
complexity
runtime (wallclock)
1.91522 seconds
cpu usage
4.40118
user time
4.19794
system time
0.203234
max virtual memory
1.8345196E7
max residence set size
337048.0
stage attributes
key
value
starexec-result
WORST_CASE(NON_POLY, ?)
output
WORST_CASE(NON_POLY, ?) proof of /export/starexec/sandbox/benchmark/theBenchmark.xml # AProVE Commit ID: 794c25de1cacf0d048858bcd21c9a779e1221865 marcel 20200619 unpublished dirty The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(EXP, INF). (0) CpxRelTRS (1) SInnermostTerminationProof [BOTH CONCRETE BOUNDS(ID, ID), 44 ms] (2) CpxRelTRS (3) RelTrsToDecreasingLoopProblemProof [LOWER BOUND(ID), 3 ms] (4) TRS for Loop Detection (5) DecreasingLoopProof [LOWER BOUND(ID), 0 ms] (6) BEST (7) proven lower bound (8) LowerBoundPropagationProof [FINISHED, 0 ms] (9) BOUNDS(n^1, INF) (10) TRS for Loop Detection (11) DecreasingLoopProof [FINISHED, 25 ms] (12) BOUNDS(EXP, INF) ---------------------------------------- (0) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(EXP, INF). The TRS R consists of the following rules: disj(T) -> True disj(F) -> True conj(Or(o1, o2)) -> False conj(T) -> True conj(F) -> True disj(And(a1, a2)) -> conj(And(a1, a2)) disj(Or(t1, t2)) -> and(conj(t1), disj(t1)) conj(And(t1, t2)) -> and(disj(t1), conj(t1)) bool(T) -> True bool(F) -> True bool(And(a1, a2)) -> False bool(Or(o1, o2)) -> False isConsTerm(T, T) -> True isConsTerm(T, F) -> False isConsTerm(T, And(y1, y2)) -> False isConsTerm(T, Or(x1, x2)) -> False isConsTerm(F, T) -> False isConsTerm(F, F) -> True isConsTerm(F, And(y1, y2)) -> False isConsTerm(F, Or(x1, x2)) -> False isConsTerm(And(a1, a2), T) -> False isConsTerm(And(a1, a2), F) -> False isConsTerm(And(a1, a2), And(y1, y2)) -> True isConsTerm(And(a1, a2), Or(x1, x2)) -> False isConsTerm(Or(o1, o2), T) -> False isConsTerm(Or(o1, o2), F) -> False isConsTerm(Or(o1, o2), And(y1, y2)) -> False isConsTerm(Or(o1, o2), Or(x1, x2)) -> True isOp(T) -> False isOp(F) -> False isOp(And(t1, t2)) -> True isOp(Or(t1, t2)) -> True isAnd(T) -> False isAnd(F) -> False isAnd(And(t1, t2)) -> True isAnd(Or(t1, t2)) -> False getSecond(And(t1, t2)) -> t1 getSecond(Or(t1, t2)) -> t1 getFirst(And(t1, t2)) -> t1 getFirst(Or(t1, t2)) -> t1 disjconj(p) -> disj(p) The (relative) TRS S consists of the following rules: and(False, False) -> False and(True, False) -> False and(False, True) -> False and(True, True) -> True Rewrite Strategy: INNERMOST ---------------------------------------- (1) SInnermostTerminationProof (BOTH CONCRETE BOUNDS(ID, ID)) proved innermost termination of relative rules ---------------------------------------- (2) Obligation: The Runtime Complexity (innermost) of the given CpxRelTRS could be proven to be BOUNDS(EXP, INF). The TRS R consists of the following rules: disj(T) -> True disj(F) -> True conj(Or(o1, o2)) -> False conj(T) -> True conj(F) -> True disj(And(a1, a2)) -> conj(And(a1, a2))
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