Program.cs

using System;
using System.Collections.Generic;
using System.IO;
using System.Linq;
using System.Threading;
using System.Threading.Tasks;

namespace ShefferMultioperationRank4
{
    /// <summary>
    /// Entry point class 
    /// </summary>
    class Program1
    {
        /// <summary>
        /// Main function
        /// </summary>
        /// <param name="args"></param>
        private static void Main(string[] args)
        {
            // generate all multioperations of rank 4 (count = 2^16 = 65536)
            var gen6 = (from a in Enumerable.Range(1, 2)
                        from b in Enumerable.Range(1, 64)
                        from c in Enumerable.Range(1, 64)
                        from d in Enumerable.Range(1, 64)
                        from e in Enumerable.Range(1, 64)
                        from f in Enumerable.Range(1, 64)
                        select new Multioperation6(a, b, c, d, e, f)).ToArray();

            // contents multioperation f and number of elements
            // in corresponging algebra of unary multioperations
            //var results = new ConcurrentBag<Tuple<Multioperation4, int>>();
            //var finished = new bool[1] { false };

            //var thread = new Thread((obj) =>
            //{
            //    var fin = (bool[])obj;

            //    using (var file = new FileStream("ops.txt", FileMode.Append, FileAccess.Write, FileShare.Read))
            //    using (var wr = new StreamWriter(file))
            //    {
            //        while (!fin[0])
            //        {
            //            Tuple<Multioperation4, int> tpl;
            //            while (results.TryTake(out tpl))
            //            {
            //                wr.WriteLine(tpl);
            //                Console.Out.WriteLine("Tuple = {0}, count = ", tpl.Item1, tpl.Item2);
            //            }
            //            wr.Flush();
            //            //Thread.Sleep(500);
            //        }
            //    }
            //});

            //thread.Priority = ThreadPriority.BelowNormal;
            //thread.Start(finished);


            //Parallel.ForEach(gen4, new ParallelOptions() { MaxDegreeOfParallelism = 8 }, op =>
            //{
            //    var opCnt = ArrSet4.CheckOp4Arr(op);
            //    results.Add(new Tuple<Multioperation4, int>(op, opCnt));
            //});
            //finished[0] = true;

            //Console.ReadKey();
            Dictionary<Multioperation6, Multioperation6> dict = new Dictionary<Multioperation6, Multioperation6>();

            int count = 0;
            foreach (Multioperation6 op in gen6)
            {
                //if (dict.ContainsKey(op)) {
                //    continue;
                //}
                var isFirst = ArrSet6.IsFirstType(op);
                if (isFirst)
                {
                    count++;
                    //dict[!op] = op;
                    Console.WriteLine("{0}", op);
                }
            }
            Console.WriteLine("{0}", count);
            return;
        }
    }
}