Replication Data for: A basic set of cancellation violating sequences for finite two-dimensional non-additive measurement

Cancellation conditions play a central role in the representation theory of measurement for a weak order on a finite two-dimensional Cartesian product set X. A weak order has an additive representation if and only if it violates no cancellation conditions. Given X, a longstanding open problem is to determine the simplest set of cancellation conditions that is violated by every non-additive linear order. Here, we report that a simplest set of cancellation conditions on a 5 by 5 product X is obtained and reported in a PDF file. The critical-to-inspect linear orders generated for analysis, the Maple worksheets to produce them, and the worksheets to do proofs are provided in ASCII format and in PDF.