CYCLE 5 EXECUTION REPORT - D02 v1.0
Date: 2026-05-04
Theorem: D02
Global decision: revise_needed
Lane L1 empirical
- Decision:
reject_candidate - Criteria:
{"non_empty_phi_zero_in_at_least_2_of_3_contexts": true, "commutativity_explicitly_verified": false, "verification_fields_detected": [], "falsification_route_reachable": true} - Reject triggers:
{"universal_commutative_without_verification": true, "guaranteed_pass_geometry": false, "vacuum_pass_no_reachable_fail": false}
| Context | n | phi_zero | phi_positive | phi_zero_ratio | all_commutative_flag |
|---|---|---|---|---|---|
| D02_CTX_01 | 60 | 17 | 43 | 0.283333 | True |
| D02_CTX_02 | 60 | 19 | 41 | 0.316667 | True |
| D02_CTX_03 | 60 | 21 | 39 | 0.350000 | True |
Lane L2 formal
- Decision:
pass_candidate - Decision raw:
revise_needed - Witness count:
4 - Assumptions consistent:
True
Notes
- D02 lane split was preserved.
- Empirical lane fails because no explicit commutativity verification trace field is provided in the dataset schema.