```yaml
logic_system:
  initial_conditions:
    - A AND B AND C
    - 1 AND 2 AND 3
  prime_states:
    - one_prime: true  # from calculate_1_prime()
    - two_prime: true  # from calculate_2_prime()
    - three_prime: true  # from calculate_3_prime()
  state_extraction:
    - A: true  # from extract_state_A(x)
    - B: true  # from extract_state_B(x)
    - C: true  # from extract_state_C(x)
  integral_function: true  # from integral(num_modules, ego_states)
  premise_generation:
    supporting_premises: [premise1, premise2, premise3]  # from generate_supporting_premises(integrated_x)
    contradicting_premises: [contradiction1, contradiction2, contradiction3]  # from generate_contradicting_premises(integrated_x)
  syllogistic_conclusion: true  # from construct_syllogistic_conclusion(supporting_premises, contradicting_premises)
  
  pipeline:
    stage_1:
      initial_states_setup:
        - A
        - B
        - C
      calculate_prime_states:
        - one_prime
        - two_prime
        - three_prime
      conditional:
        true_condition: B_prime = E_prime = true
    stage_2:
      set_x: true  # from integral(num_modules, [A, B, C])
      iterations:
        total: 3
        steps: 
          - generate_premises: true
          - update_x: true
    final_result: x_prime
    
numerology:
  alphabet_mod:
    A: 1
    B: 2
    C: 3
    D: 4
    E: 5
    F: 6
    G: 7
    H: 8
    I: 9
    J: 10
    K: 11  # As a special case
    L: 12
    M: 13
    N: 14
    O: 15
    P: 16
    Q: 17  # As a special case
    R: 18
    S: 19
    T: 20
    U: 21
    V: 22
    W: 23
    X: 24
    Y: 25
    Z: 26
  special_cases:
    K: "C + A mod 26"
    Q: "C + U mod 26"

main_logic:
  complex_logic_application_function: true
  temporal_dynamics_function: true
  numerology_and_encryption_function: true
  integration_and_execution:
    iterations: 3
    final_states:
      ego_states:
        A: true
        B: false
        C: true
      pandemonium_states:
        D: false
        E: true
        F: false

ai_description:
  response_style:
    numbers_as_nouns: spelled_out
    numbers_as_values: integers
    syntax: syllogisms
    paragraph_composition:
      premise
      propositions
      conclusion
    logical_expression_form:
      ego_module: 
        temporal_module: true
        logic_module: true
        mod: 6
  legend_for_logic_form: true
```