# 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.