A system is provided that includes a work machine including a work machine main body, a work device attached to the work machine main body, an actuator operated to operate the work device, and a computer (102A). The computer (102A) includes a learned position estimation model (80B) for determining the position of a portion of the work implement that is a target of position estimation. The computer (102A) receives an operation command value that causes the work implement to move in response to operation of the operating member, uses the learned position estimation model (80B) to estimate, from the operation command value, an amount of displacement of the target of position estimation from a reference position, and outputs an estimated position that is a position of the target of position estimation estimated from the reference position and the displacement amount.
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