What is a man's childcare liability if a woman secretly uses his discarded condom to impregnate herself?

Let's say I meet a nice and frisky lady who agrees to copulate with me. We engage in coitus while always using a condom to prevent the transfer of any bodily fluids, especially my sperm. Post coitus, I remove my semen filled condom (which was coincidentally lubricated with a NON-spermicidal substance) and properly discard it in the waste basket of the lavatory. Unbeknownst to me, the woman retrieves said discarded /semen filled condom and proceeds to manually inseminate herself with my discarded sperm. Nine months later, my bastard love child is born. Is there any legal precedence that describes my child care liability in this case?