For reference, my significant other and I are in our early twenties. We have been married for less than a year.
We argue frequently- nothing too toxic, no swearing (which is offensive in our culture), no mimicking or name calling or physical violence. Unfortunately, some of these disputes are difficult to resolve and we are both fairly stubborn. Many of the arguments center around fairly inconsequantial issues. For example, one evening, my s.o., who we will call Taylor, approached me right before we left the house with the following:
T: Could you turn of the bathroom light since you were the last one out?
M: What do you mean?
T: The bathroom. You were the last one in.
At this point, I realize Taylor is right, I did walk in the bathroom after they left. However, I didn't do anything in the bathroom (just glanced at my reflection). As I thought about it, I became confused: why did my s.o. leave the light on? What reason did they have to believe I would be the last in the bathroom? Basically, I started feeling really bothered because their actions seemed petty and hypocritical.
Additionally, I try to generally leave things the way I found them- I don't turn off someone else's light, just like I don't throw their half-eaten meal in the garbage. So it's challenging for me to see how Taylor can justify saying I should have been the one to turn off the light.
I try explaining this, but Taylor remains convinced I'm wrong. We move on, but later that night the same issue came out but we didn't move on that well and just stopped talking for the day.
This is a recurring theme: I feel like I'm being logical and that I'm right, and Taylor is convinced I'm wrong. No amount of talking makes either of us change our minds. I want to make up, but I don't believe I'm wrong. And sometimes, Taylor refuses to move on unless I say I'm wrong. I don't feel comfortable lying, but in these scenarios I'm unsure what I can do.
My question is fairly simple: how can I resolve a conflict when we both want to work it out but are both still convinced we were right in the first place?