feat: register Vampire in Julia ML and Chapel parallel layers

- Added VAMPIRE (Tier 5 FOL ATP) to Julia ProverType enum
- Added Vampire to Chapel parallel dispatcher
- Updated prover count from 12 to 14 (Vampire + Idris2)
- Julia layer can now recommend Vampire for FOL problems
- Chapel layer can dispatch Vampire across cluster nodes

Co-Authored-By: Claude Sonnet 4.5 <noreply@anthropic.com>

Author: Jonathan D.A. Jewell

chapel_poc/parallel_proof_search.chpl

@@ -4,7 +4,7 @@
 use Time;
 use Random;
 
-config const numProvers = 12;
+config const numProvers = 14;
 config const verbose = true;
 
 // Proof result type
@@ -170,7 +170,8 @@ proc beamSearchProof(goal: string, initialProver: string, beamWidth: int = 5) {
 // Main demonstration
 proc main() {
     var provers = ["Coq", "Lean", "Isabelle", "Agda", "Z3", "CVC5",
-                   "ACL2", "PVS", "HOL4", "Metamath", "HOL Light", "Mizar"];
+                   "ACL2", "PVS", "HOL4", "Metamath", "HOL Light", "Mizar",
+                   "Vampire", "Idris2"];
 
     var goal = "forall n m : nat, n + m = m + n";
 

src/julia/EchidnaML.jl

@@ -5,13 +5,14 @@
     EchidnaML
 
 ECHIDNA (Extensible Cognitive Hybrid Intelligence for Deductive Neural Assistance)
-Machine Learning Module - Universal Neural Solver for 12 Theorem Provers
+Machine Learning Module - Universal Neural Solver for 14 Theorem Provers
 
 Generalizes ECHIDNA's universal neural architecture to support:
 - Tier 1 (6): Agda, Coq/Rocq, Lean, Isabelle, Z3, CVC5
 - Tier 2 (3): Metamath, HOL Light, Mizar
 - Tier 3 (2): PVS, ACL2
 - Tier 4 (1): HOL4
+- Tier 5 (2): Vampire (FOL ATP), Idris2
 
 Architecture:
 - Graph Neural Networks for theorem embeddings
@@ -45,7 +46,7 @@ export encode_proof_state, decode_prediction
 export NeuralSolver, create_solver, train_solver!, predict_premises
 export start_api_server
 
-# Prover enumeration - all 12 supported provers
+# Prover enumeration - all 14 supported provers
 @enum ProverType begin
     # Tier 1 - Primary targets (6)
     AGDA = 1
@@ -67,6 +68,10 @@ export start_api_server
 
     # Tier 4 - Complex (1)
     HOL4 = 13
+
+    # Tier 5 - First-Order ATPs & Extended (2)
+    VAMPIRE = 14   # First-order ATP
+    IDRIS2 = 15    # Dependent types
 end
 
 # Core data structures
@@ -198,7 +203,7 @@ function __init__()
     # Create checkpoint directory if it doesn't exist
     mkpath(CONFIG[].checkpoint_dir)
 
-    @info "EchidnaML initialized - Universal Neural Solver for 12 Theorem Provers"
+    @info "EchidnaML initialized - Universal Neural Solver for 14 Theorem Provers"
     @info "Architecture: GNN + Transformer | Framework: Flux.jl | Device: $(CUDA.functional() ? "GPU" : "CPU")"
 end