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Generally, negation-limited inverters problem is known as a puzzle ofconstructing an inverter with AND gates and OR gates and a few inverters. Inthis paper, we introduce a curious new result about the effectiveness of twopowerful ATP (Automated Theorem Proving) strategies on tackling negationlimited inverter problem. Two resolution strategies are UR (Unit Resulting)resolution and hyper-resolution. In experiment, we come two kinds of automatedcircuit construction: 3 input/output inverters and 4 input/output BCD CounterCircuit. Both circuits are constructed with a few limited inverters. Curiously,it has been turned out that UR resolution is drastically faster thanhyper-resolution in the measurement of the size of SOS (Set of Support).Besides, we discuss the syntactic and semantic criteria which might causesconsiderable difference of computation cost between UR resolution andhyper-resolution.

A Curious New Result of Resolution Strategies in Negation-Limited Inverters Problem