# TLA+ model of OneThirdRule algorithm from "A Reduction Theorem" paper

Good day!

I have a question regarding very special TLA+ model from "A Reduction Theorem for the Verification of Round-Based Distributed Algorithms (2010)" paper,

I am trying to reproduce results stated in the "verification with TLC" table on page 13.
For that reason I have tried to check OneThirdRule model from the paper.

I have the following configuration file for the model:
CONSTANTS N = 3
SPECIFICATION Safety

My results of model checking are very different from those shown in the table (Fig. 3)
In particular, for N=3 I have the following result:
[shishkin@oberon model]\$ tlc OneThirdRule.tla
TLC2 Version 2.09 of 28 January 2016
Running in Model-Checking mode with 3 workers.
Parsing file OneThirdRule.tla
Parsing file /home/shishkin/tla2tools/tla/tla2sany/StandardModules/Naturals.tla
Parsing file /home/shishkin/tla2tools/tla/tla2sany/StandardModules/FiniteSets.tla
Parsing file HeardOf.tla
Parsing file /home/shishkin/tla2tools/tla/tla2sany/StandardModules/Sequences.tla
Semantic processing of module Naturals
Semantic processing of module Sequences
Semantic processing of module FiniteSets
Semantic processing of module HeardOf
Semantic processing of module OneThirdRule
Starting... (2017-04-18 15:35:38)
Computing initial states...
Finished computing initial states: 1 distinct state generated.
Progress(3) at 2017-04-18 15:35:42: 478721 states generated (478,721 s/min), 1920 distinct states found (1,920 ds/min), 982 states left on queue.
Model checking completed. No error has been found.
Estimates of the probability that TLC did not check all reachable states
because two distinct states had the same fingerprint:
calculated (optimistic):  val = 6.3E-10
based on the actual fingerprints:  val = 4.3E-13
2448897 states generated, 4783 distinct states found, 0 states left on queue.
The depth of the complete state graph search is 4.
Finished in 10s at (2017-04-18 15:35:49)

For N=3 it took 10 seconds on my Intel core i7 with 3 TLC workers running versus 1.87 seconds (using less powerful CPU) shown in the table. Number of states also differ.
For N=4 I gave up waiting after 16 minutes of checking time on the same machine.
Can anyone suggest why this is so? I attached model files and config.

Thanks alot!

Attachment: HeardOf.tla
Description: Binary data

CONSTANTS N = 3

SPECIFICATION Safety

\* Generated on Fri Feb 03 14:25:59 MSK 2017

Attachment: OneThirdRule.tla
Description: Binary data

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