problem-set/geometry/tarski/t10.desc created : 07/16/86 revised : 08/17/89 Natural Language Description : Theorem 10: For all points x, y, and z, if x, y, and z are collinear in one order, they are collinear in any order. Versions : NOTE: all versions use a weighting scheme in which variables (and skolem functions) are weighted high and constants low. t10.ver1 : Original formulation of the axioms, from McCharen, Overbeek, & Wos [Aug. 1976]; uses hyperresolution, UR resolution, and unit deletion. created : 07/16/86. verified for ITP : Untested. translated for OTTER by : caw. verified for OTTER : 07/21/89. t10.ver2 : Reformulation of the axioms, from Quaife [JAR 5 (1989)]. created : 07/25/89. verified for ITP : Untested. translated for OTTER by : caw. verified for OTTER : no proof. t10.ver3 : Reformulation of the axioms, from Quaife [JAR 5 (1989)]. created : 07/25/89. verified for ITP : Untested. translated for OTTER by : caw. verified for OTTER : no proof.