Question: Which game dates back to at least the Roman Empire: Nine Men's Morris, or Icehouse pieces?

full_context: Document 1: Nine Men's Morris: Nine Men's Morris is a strategy board game for two players dating at least to the Roman Empire. The game is also known as Nine Man Morris, Mill, Mills, The Mill Game, Merels, Merrills, Merelles, Marelles, Morelles and Ninepenny Marl in English. The game has also been called Cowboy Checkers and is sometimes printed on the back of checkerboards. Nine Men's Morris is a solved game in which either player can force the game into a draw.
Document 2: Tiger game played with forty: Meurimueng-rimueng peuet ploh is a two-player abstract strategy board game from Sumatra, Indonesia. The last part of the name, ploh, is sometimes spelled "plo". It is specifically played by the Acehnese. The game was published in the book entitled "The Achehnese" by Hurgronje, O'Sullivan, and Wilkinson in 1906 and described on page 204. It is also played in Java, Indonesia where it is called Dam-daman. However, Dam-daman is also a general term for draughts or checkers in Indonesia. The game is also played in India especially in Punjab where it is called Ratti-chitti-bakri. The game is basically an enlarged version of Alquerque. It is specifically four times the size of an Alquerque board which is the same board used for Zamma. The rules are exactly those of Alquerque, except that captures are not compulsory.
Document 3: Hex (board game): Hex is a strategy board game for two players played on a hexagonal grid, theoretically of any size and several possible shapes, but traditionally as an 11×11 rhombus. Players alternate placing markers or stones (Go stones make ideal playing pieces) on unoccupied spaces in an attempt to link their opposite sides of the board in an unbroken chain. One player must win; there are no draws. The game has deep strategy, sharp tactics and a profound mathematical underpinning related to the Brouwer fixed-point theorem. It was invented in the 1940s independently by two mathematicians, Piet Hein and John Nash. The game was first marketed as a board game in Denmark under the name Con-tac-tix, and Parker Brothers marketed a version of it in 1952 called Hex; they are no longer in production. Hex can also be played with paper and pencil on hexagonally ruled graph paper.
Document 4: Piecepack: Piecepack is a public-domain game system that can be used to play a wide variety of board games, much as a standard deck of cards can be used to play thousands of card games ("A game system is a set of components that function together in multiple games"). Piecepack has been used by dozens of different game designers to create over 150 different board games and is available from many different manufacturers. It was created by James Kyle in 2001.
Document 5: Jenga: Jenga is a game of physical skill created by Leslie Scott, and currently marketed by Hasbro. Players take turns removing one block at a time from a tower constructed of 54 blocks. Each block removed is then placed on top of the tower, creating a progressively taller and unstable structure.
Document 6: Morabaraba: Morabaraba is a traditional two-player strategy board game played in South Africa, Botswana and Lesotho. The game is also known as Mlabalaba, Mmela (in Setswana), Muravava, Umlabalaba. The game is similar to Twelve Men's Morris, a variation on the Roman board game Nine Men's Morris.
Document 7: Treehouse (game): Treehouse is a game in which players try to get their configuration of Icehouse pieces to match the central configuration, shared by all players. The rolling of the special "Treehouse Die" tells the player what kind of move to make to change his own or the central configuration, and then he does so to best move towards the goal.
Document 8: Cups (game): Cups was one of several games invented in 1965 by father and son Arthur Amberstone and Wald Amberstone who were both cofounders of the New York Gamers Association (N.Y.G.A.). They also invented Power, and High Deck, a card game based on medieval society. At the time both were working as basket makers as well as game designers in New York City. This game was first published in A Gamut of Games by Sid Sackson in 1969. Wald Amberstone co-founded the Tarot School in 1995 along with his wife Ruth Amberstone. The game Cups is a contemporary two-ranked single-lap member of the ancient game family of Mancala.
Document 9: Pyramid Power (game): Pyramid Power is a tile game, where the goal is to score points by placing triangle-shaped tiles next to other triangle-shaped tiles so that the colors on the touching faces match. Doing so scores the player points. It was published by Winning Moves Games USA in 2008 and is one of three games in their Brain-Ade line of quick puzzle games and features both multiplayer and solitaire versions. This game is no longer in production.
Document 10: Zamma: Zamma is a two-player abstract strategy game from Africa. It is especially played in North Africa. The game is similar to Alquerque and draughts. The board is four Alquerque boards combined together to form a square board. The initial setup is also similar to Alquerque, where every space on the board is filled with each player's pieces except for the middle point of the board. Furthermore, each player's pieces are also set up on each player's half of the board. The game specifically resembles draughts in that pieces must move in the forward directions until they are crowned "Mullah" (or "Sultan") which is the equivalent of the king in draughts. The Mullah can move in any direction. In North Africa, the black pieces are referred to as men, and the white pieces as women. In the Sahara, short sticks represent the men, and camel dung represent the women.
Document 11: Connect Four: Connect Four (also known as Captain's Mistress, Four Up, Plot Four, Find Four, Fourplay , Four in a Row, Four in a Line and Gravitrips (in Soviet Union)) is a two-player connection game in which the players first choose a color and then take turns dropping colored discs from the top into a seven-column, six-row vertically suspended grid. The pieces fall straight down, occupying the next available space within the column. The objective of the game is to be the first to form a horizontal, vertical, or diagonal line of four of one's own discs. Connect Four is a solved game. The first player can always win by playing the right moves.
Document 12: Pylos (board game): Pylos is a board game invented by David G. Royffe and published by Gigamic. Two players are given 15 marbles each. They take turns to make a pyramid in a 4 by 4 square grid (note that 15 × 2 = 4 × 4 + 3 × 3 + 2 × 2 + 1). Simple rules allow them to save their marbles — if possible, instead of playing a new marble, a player may rise one of his already played marbles to a higher position, and if any move forms a line or 2×2 square of marbles the player's colour, the player may (and indeed must) remove one or two of his marbles from the board. The winner is the player who completes the pyramid.
Document 13: Stratego: Stratego is a strategy board game for two players on a board of 10×10 squares. Each player controls 40 pieces representing individual officer ranks in an army. The pieces have Napoleonic insignia. The objective of the game is to find and capture the opponent's "Flag", or to capture so many enemy pieces that the opponent cannot make any further moves. "Stratego" has simple enough rules for young children to play, but a depth of strategy that is also appealing to adults. The game is a slightly modified copy of an early 20th century French game named "L'Attaque". It has been in production in Europe since World War II and the United States since 1961. There are now 2- and 4-handed versions, versions with 10, 30 or 40 pieces per player, and boards with smaller sizes (number of spaces). There are also variant pieces and different rulesets.
Document 14: Icehouse pieces: Icehouse pieces, or Icehouse Pyramids, Treehouse pieces, Treehouse Pyramids and officially Looney Pyramids, are nestable and stackable pyramid-shaped gaming pieces and a game system. The game system was invented by Andrew Looney and John Cooper in 1987, originally for use in the game of Icehouse.
Document 15: Kharbaga: Kharbaga is a two-player abstract strategy game from Africa. In a way, it is a miniature version of Zamma; however, there are more diagonal lines per square on the board as compared to Zamma. The game is considered part of the Zamma family. The game is also similar to Alquerque and draughts. The board is essentially an Alquerque board with twice the number of diagonal lines or segments allowing for greater freedom of movement. The initial setup is also similar to Alquerque, where every space on the board is filled with each player's pieces except for the middle point of the board. Moreover, each player's pieces are also set up on each player's half of the board. The game specifically resembles draughts in that pieces must move in the forward directions until they are crowned "Mullah" (or "Sultan") which is the equivalent of the King in draughts. The Mullah can move in any direction.
ground_truth: Nine Men's Morris