Remove unused ExecutionPlan::relies_input_order (has been replaced with required_input_ordering)

[alamb]

Which issue does this PR close?

Related to #4686

Rationale for this change

#4691 from @mustafasrepo made the relies_on_input redundant in favor of the more general required_input_ordering

What changes are included in this PR?

Remove relies_on_input

Are these changes tested?

Covered by existing tests

Are there any user-facing changes?

No, though it is an API change

[ozankabak]

LGTM -- commits that only remove stuff are the best commits 🤣

[mingmwang]

LGTM. I remember originally there is logic insider the Repartition rule to check the relies_on_input_order(), it seems this logic was removed recently.

[alamb]

LGTM. I remember originally there is logic insider the Repartition rule to check the relies_on_input_order(), it seems this logic was removed recently.

Yes I believe it was removed in https://github.com/apache/arrow-datafusion/pull/4714/files#diff-4f2e98e6466bc2e0f66c0fdb844f46ef25c6b5b559f9c51610dd9273da2b2ec1L859 from @yahoNanJing

[yahoNanJing]

LGTM

[ursabot]

Benchmark runs are scheduled for baseline = 98b4696 and contender = 39d98f8. 39d98f8 is a master commit associated with this PR. Results will be available as each benchmark for each run completes.
Conbench compare runs links:
[Skipped ⚠️ Benchmarking of arrow-datafusion-commits is not supported on ec2-t3-xlarge-us-east-2] ec2-t3-xlarge-us-east-2
[Skipped ⚠️ Benchmarking of arrow-datafusion-commits is not supported on test-mac-arm] test-mac-arm
[Skipped ⚠️ Benchmarking of arrow-datafusion-commits is not supported on ursa-i9-9960x] ursa-i9-9960x
[Skipped ⚠️ Benchmarking of arrow-datafusion-commits is not supported on ursa-thinkcentre-m75q] ursa-thinkcentre-m75q
Buildkite builds:
Supported benchmarks:
ec2-t3-xlarge-us-east-2: Supported benchmark langs: Python, R. Runs only benchmarks with cloud = True
test-mac-arm: Supported benchmark langs: C++, Python, R
ursa-i9-9960x: Supported benchmark langs: Python, R, JavaScript
ursa-thinkcentre-m75q: Supported benchmark langs: C++, Java