Dacă adversarul ar muta pionul, echipa ar pierde punctul.

They are in the present conditional in Romanian.

• ar muta = would move
• ar pierde = would lose

This is the pattern:

• aș / ai / ar / am / ați / ar
  • verb form

So here, both subjects are third person singular, so both clauses use ar.

This sentence is describing a hypothetical situation, not a real action happening now.

Because Romanian often uses the conditional in both parts of a hypothetical if sentence.

So:

• Dacă adversarul ar muta pionul... = If the opponent moved / were to move the pawn...
• ...echipa ar pierde punctul. = ...the team would lose the point.

This is normal Romanian for a less real, imagined, or hypothetical situation.

By contrast, if the speaker meant a more real or likely condition, Romanian would often use the present tense:

• Dacă adversarul mută pionul, echipa pierde punctul.

That sounds more like a real game situation or a rule.

In Romanian, echipa is grammatically singular, so the verb is singular too:

• echipa ar pierde

Even if a team contains many people, the noun itself is singular. Romanian usually treats collective nouns like this more straightforwardly than English sometimes does.

So you would not make the verb plural here just because a team has multiple members.

Because Romanian usually puts the definite article at the end of the noun.

So:

• adversar = opponent

• adversarul = the opponent

• pion = pawn

• pionul = the pawn

• punct = point
• punctul = the point

This is one of the biggest differences from English. Instead of a separate word like the, Romanian attaches it to the noun.

Because the sentence refers to a specific pawn, or at least to a pawn that is identifiable from the context.

In a game, especially chess, speakers often refer to pieces as already known:

• pionul = the pawn

If you said un pion, that would mean a pawn, with a more indefinite meaning.

So the choice between pionul and un pion works much like the pawn vs a pawn in English.

In game contexts, especially chess, a muta is the normal verb for to move a piece / make a move.

• a muta pionul = to move the pawn

By contrast, a mișca usually means to move something physically in a more general sense.

So while a mișca can literally mean to move, a muta is the more natural choice for moving pieces in a game.

The dictionary forms are:

• a muta = to move
• a pierde = to lose

In the conditional, Romanian uses the auxiliary plus a verb form based on the infinitive:

• ar muta
• ar pierde

So if you look these up in a dictionary, search for a muta and a pierde.

Because the sentence begins with the if-clause, and Romanian normally separates that clause from the main clause with a comma.

So the structure is:

• Dacă adversarul ar muta pionul,
• echipa ar pierde punctul.

This is very similar to English punctuation:

• If the opponent moved the pawn, the team would lose the point.

If the order is reversed, the comma may or may not be used depending on style, but in this sentence the comma is standard and expected.

Yes. Romanian word order is fairly flexible.

For example, you could also say:

• Echipa ar pierde punctul dacă adversarul ar muta pionul.

This means the same thing. The difference is mostly one of focus or rhythm:

• starting with Dacă... foregrounds the condition
• starting with Echipa... foregrounds the result

Both are natural.

The difference is mainly about how hypothetical the situation is.

• Dacă adversarul ar muta pionul, echipa ar pierde punctul.
  = hypothetical, imagined, less direct, more like if the opponent were to move the pawn

• Dacă adversarul mută pionul, echipa pierde punctul.
  = more real, immediate, factual, or rule-like: if the opponent moves the pawn, the team loses the point

So the version with ar sounds more conditional and less like a direct statement of what actually happens.

Because the sentence is talking about one point.

• punctul = the point
• puncte = points

If more than one point were meant, Romanian would use the plural:

• echipa ar pierde două puncte = the team would lose two points
• echipa ar pierde punctele = the team would lose the points

So punctul is singular because only one point is at stake.

It is the present conditional.

• ar muta
• ar pierde

These mean would move and would lose.

The past conditional would use fi:

• ar fi mutat = would have moved
• ar fi pierdut = would have lost

So if the sentence were about an unreal past situation, it would look different.