MAYBE 0.00/0.79 MAYBE 0.00/0.79 0.00/0.79 0.00/0.79 0.00/0.79 0.00/0.79 0.00/0.79 Runtime Complexity (innermost) proof of /export/starexec/sandbox/benchmark/theBenchmark.xml.xml 0.00/0.79 0.00/0.79 0.00/0.79
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(0) Obligation:

Runtime Complexity TRS:
The TRS R consists of the following rules:

f(x) → f(a)

Rewrite Strategy: INNERMOST
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(1) CpxTrsToCdtProof (BOTH BOUNDS(ID, ID) transformation)

Converted CpxTRS to CDT
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(2) Obligation:

Complexity Dependency Tuples Problem
Rules:

f(z0) → f(a)
Tuples:

F(z0) → c(F(a))
S tuples:

F(z0) → c(F(a))
K tuples:none
Defined Rule Symbols:

f

Defined Pair Symbols:

F

Compound Symbols:

c

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(3) CdtInstantiationProof (BOTH BOUNDS(ID, ID) transformation)

Use instantiation to replace F(z0) → c(F(a)) by

F(a) → c(F(a))
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(4) Obligation:

Complexity Dependency Tuples Problem
Rules:

f(z0) → f(a)
Tuples:

F(a) → c(F(a))
S tuples:

F(a) → c(F(a))
K tuples:none
Defined Rule Symbols:

f

Defined Pair Symbols:

F

Compound Symbols:

c

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0.00/0.83 EOF