TPTP Problem File: MSC007-2.002.rm
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% File : MSC007-2.002 : TPTP v9.0.0. Bugfixed v2.1.0.
% Domain : Miscellaneous
% Problem : Cook pigeon-hole problem
% Version : [Pel88] axioms : Especial.
% English : Suppose there are N holes and N+1 pigeons to put in the
% holes. Every pigeon is in a hole and no hole contains more
% than one pigeon. Prove that this is impossible. The size is
% the number of pigeons.
% Refs : [CR79] Cook & Reckhow (1979), The Relative Efficiency of Prop
% : [Pel86] Pelletier (1986), Seventy-five Problems for Testing Au
% : [Pel88] Pelletier (1988), Errata
% Source : [Pel86]
% Names : Pelletier 73 (Size 4) [Pel86]
% Status : Unsatisfiable
% Rating : 0.00 v2.0.0
% Syntax :
% Comments : This problem is incorrect in [Pel86] and is corrected in [Pel88].
% : tptp2X: -ftptp -s2 MSC007-2.g
% Bugfixes : v2.1.0 - Replaced by a new SOTA size.
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