genpark-first-order-logic-resolution-prover-skill
mcp
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GenPark AI Agent Skill - First-Order Logic (FOL) resolution theorem prover applying Most General Unification (MGU) and refutation proof trees.
README.md
GenPark First-Order Logic Resolution Prover Skill
First-Order Logic (FOL) resolution theorem prover using Robinson's Most General Unification (MGU) refutation.
Discover more at GenPark and the GenPark MCP Catalog.
graph TD
A[KB Axioms] & B[Negated Goal Claim] --> C[Clause Form Knowledge Base]
C --> D[MGU Term Unification theta]
D --> E[Complementary Literal Elimination]
E --> F{Empty Clause Derived?}
F -->|Yes: Contradiction| G[Theorem Proved True]
F -->|No More Resolvents| H[Satisfiable: Cannot Prove]
Features
- Robinson resolution refutation principle.
- Most General Unification (MGU) with variable substitution.
- Zero external dependencies.
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