Semi-Kotzig-frame double cover conjecture

Let $G$ be a cubic graph. A frame of $G$ is a spanning subgraph $H$ such that the contraction $G/H$ is even. For a subgraph $H$, let $\overline{H}$ denote the graph obtained by suppressing all degree-$2$ vertices. A semi-Kotzig frame is a frame whose every non-circuit component has suppressed graph a semi-Kotzig graph. A $6$-even-subgraph double cover is a double cover consisting of six even subgraphs.

Semi-Kotzig-frame conjecture. Every bridgeless cubic graph with a semi-Kotzig frame has a $6$-even-subgraph double cover.

This strengthens the preceding Kotzig-frame conjecture by replacing Kotzig frames with the more general semi-Kotzig frames. The paper proves the result for semi-Kotzig frames with at most one non-circuit component, while the unrestricted statement remains open.