Repository: pytorch
Issue: installation of pytorch `cpuonly` from conda with `nomkl` installs `mkl`
Labels: module: binaries,triaged

### 🐛 Describe the bug

When installing pytorch with `cpuonly` and `nomkl`, the pytorch recipe calls for the installation of `mkl`. Maybe I am misunderstanding, but I would think if you specifically ask for `nomkl` then pytorch should be installed linked to OpenMP, as it would be if I installed with pip.

#### Setup

```shell
conda update -n base -c defaults -y conda
conda create -n pytorch-bug -y python=3.8
conda activate pytorch-bug
conda config --add channels conda-forge --add channels pytorch
conda install -y numpy scipy nomkl
```

<details>

```

  environment location: /opt/conda/envs/pytorch-bug

  added / updated specs:
    - nomkl
    - numpy
    - scipy


The following packages will be downloaded:

    package                    |            build
    ---------------------------|-----------------
    libblas-3.9.0              |12_linux64_openblas          12 KB  conda-forge
    libcblas-3.9.0             |12_linux64_openblas          12 KB  conda-forge
    libgfortran-ng-11.2.0      |      h69a702a_11          19 KB  conda-forge
    libgfortran5-11.2.0        |      h5c6108e_11         1.7 MB  conda-forge
    liblapack-3.9.0            |12_linux64_openblas          12 KB  conda-forge
    libopenblas-0.3.18         |pthreads_h8fe5266_0         9.6 MB  conda-forge
    nomkl-1.0                  |       h5ca1d4c_0           4 KB  conda-forge
    numpy-1.22.0               |   py38h6ae9a64_0         6.9 MB  conda-forge
    scipy-1.7.3                |   py38h56a6a73_0        21.9 MB  conda-forge
    ------------------------------------------------------------
                                           Total:        40.1 MB

The following NEW packages will be INSTALLED:

  libblas            conda-forge/linux-64::libblas-3.9.0-12_linux64_openblas
  libcblas           conda-forge/linux-64::libcblas-3.9.0-12_linux64_openblas
  libgfortran-ng     conda-forge/linux-64::libgfortran-ng-11.2.0-h69a702a_11
  libgfortran5       conda-forge/linux-64::libgfortran5-11.2.0-h5c6108e_11
  liblapack          conda-forge/linux-64::liblapack-3.9.0-12_linux64_openblas
  libopenblas        conda-forge/linux-64::libopenblas-0.3.18-pthreads_h8fe5266_0
  nomkl              conda-forge/noarch::nomkl-1.0-h5ca1d4c_0
  numpy              conda-forge/linux-64::numpy-1.22.0-py38h6ae9a64_0
  scipy              conda-forge/linux-64::scipy-1.7.3-py38h56a6a73_0
```

</details>

#### The buggy command

```shell
conda install pytorch cpuonly nomkl
```

#### The result

Both `nomkl` and `mkl` are installed!

<details>

```
## Package Plan ##

  environment location: /opt/conda/envs/pytorch-bug

  added / updated specs:
    - cpuonly
    - nomkl
    - pytorch


The following packages will be downloaded:

    package                    |            build
    ---------------------------|-----------------
    blas-1.0                   |         openblas          48 KB  anaconda
    cpuonly-2.0                |                0           2 KB  pytorch
    ninja-1.10.2               |       h4bd325d_1         2.4 MB  conda-forge
    nomkl-3.0                  |                0          48 KB  anaconda
    pytorch-1.4.0              |      py3.8_cpu_0        39.0 MB  pytorch
    pytorch-mutex-1.0          |              cpu           3 KB  pytorch
    ------------------------------------------------------------
                                           Total:        41.5 MB

The following NEW packages will be INSTALLED:

  blas               anaconda/linux-64::blas-1.0-openblas
  cpuonly            pytorch/noarch::cpuonly-2.0-0
  intel-openmp       anaconda/linux-64::intel-openmp-2020.2-254
  mkl                anaconda/linux-64::mkl-2020.2-256
  ninja              conda-forge/linux-64::ninja-1.10.2-h4bd325d_1
  pytorch            pytorch/linux-64::pytorch-1.4.0-py3.8_cpu_0
  pytorch-mutex      pytorch/noarch::pytorch-mutex-1.0-cpu

The following packages will be UPDATED:

  nomkl              conda-forge/noarch::nomkl-1.0-h5ca1d4~ --> anaconda/linux-64::nomkl-3.0-0


Proceed ([y]/n)
```

or, if instead I didn't list the `anaconda` channel:

```
## Package Plan ##

  environment location: /opt/conda/envs/pytorch-bug

  added / updated specs:
    - cpuonly
    - nomkl
    - pytorch


The following packages will be downloaded:

    package                    |            build
    ---------------------------|-----------------
    blas-1.0                   |         openblas          46 KB
    cpuonly-2.0                |                0           2 KB  pytorch
    intel-openmp-2021.4.0      |    h06a4308_3561         4.2 MB
    mkl-2021.4.0               |     h06a4308_640       142.6 MB
    ninja-1.10.2               |       h4bd325d_0         2.4 MB  conda-forge
    nomkl-3.0                  |                0          46 KB
    pytorch-1.4.0              |      py3.8_cpu_0        39.0 MB  pytorch
    pytorch-mutex-1.0          |              cpu           3 KB  pytorch
    ------------------------------------------------------------
                                           Total:       188.3 MB

The following NEW packages will be INSTALLED:

  blas               pkgs/main/linux-64::blas-1.0-openblas
  cpuonly            pytorch/noarch::cpuonly-2.0-0
  intel-openmp       pkgs/main/linux-64::intel-openmp-2021.4.0-h06a4308_3561
  mkl                pkgs/main/linux-64::mkl-2021.4.0-h06a4308_640
  ninja              conda-forge/linux-64::ninja-1.10.2-h4bd325d_0
  pytorch            pytorch/linux-64::pytorch-1.4.0-py3.8_cpu_0
  pytorch-mutex      pytorch/noarch::pytorch-mutex-1.0-cpu

The following packages will be UPDATED:

  nomkl              conda-forge/noarch::nomkl-1.0-h5ca1d4~ --> pkgs/main/linux-64::nomkl-3.0-0
```

</details>

#### By pip instead

```shell
pip install torch
```

which downloads `torch-1.10.1-cp38-cp38-manylinux1_x86_64.whl` and installs as desired, without MKL.

### Versions

<details>

```
$ python collect_env.py
Collecting environment information...
PyTorch version: N/A
Is debug build: N/A
CUDA used to build PyTorch: N/A
ROCM used to build PyTorch: N/A

OS: Debian GNU/Linux 10 (buster) (x86_64)
GCC version: (Debian 8.3.0-6) 8.3.0
Clang version: Could not collect
CMake version: Could not collect
Libc version: glibc-2.28

Python version: 3.8.12 (default, Oct 12 2021, 13:49:34)  [GCC 7.5.0] (64-bit runtime)
Python platform: Linux-5.4.0-1059-gcp-x86_64-with-glibc2.17
Is CUDA available: N/A
CUDA runtime version: Could not collect
GPU models and configuration: Could not collect
Nvidia driver version: Could not collect
cuDNN version: Could not collect
HIP runtime version: N/A
MIOpen runtime version: N/A

Versions of relevant libraries:
[pip3] numpy==1.20.3
[conda] nomkl                     1.0                  h5ca1d4c_0    conda-forge
[conda] numpy                     1.20.3           py38h9894fe3_1    conda-forge
```

</details>

cc @ezyang @seemethere @malfet