An SMTfrontend conformance agent needs exact implied groundtermequalities anddis...
https://detect.halowerk.com/v1/F-B-NIGHT-FINITE-STRUCTURES/ground-euf-congruence-closure-claimsOverview
An SMTfrontend conformance agent needs exact implied groundtermequalities anddisequalityconflicts underuninterpretedfunctions before handingoff a formula. No injectivity,occurscheck,arithmeticinterpretation oractualSMTsolverwrapper.
Protocol
x402 (POST)
Price
$0.0030
Payment Asset
USD Coin
Payment Network
eip155:8453
Category
uncategorized
Provider
detect
Source
bazaar
Indexed
2026-11-02 17:26:22
Health
Status
unknown
Latency (p50)
—
Uptime (30d)
—
Reliability Score
—
Last Checked
Never
Last Healthy
Never
Consecutive Failures
0
x402 Payment Validation
Payment Requirements
—
Asset Verified
—
Facilitator
—
Input Schema
{
"body": {
"artifact": {
"congruence": {
"claim": {
"consistent": false,
"disequality_conflicts": [
false
],
"equivalence_classes": [
[
0
],
[
1
],
[
2
],
[
3
]
],
"query_equalities": [
false,
false
]
},
"disequalities": [
[
0,
1
]
],
"equalities": [],
"queries": [
[
2,
3
],
[
0,
1
]
],
"terms": [
{
"args": [],
"symbol": 0
},
{
"args": [],
"symbol": 1
},
{
"args": [
0
],
"symbol": 2
},
{
"args": [
1
],
"symbol": 2
}
]
}
}
},
"bodyType": "json",
"method": "POST",
"type": "http"
}
Output Schema
{
"example": {
"billable": true,
"findings": [
{
"confidence": 95,
"evidence": [
{
"page_indices": [],
"page_url": null,
"pattern": "ground-euf-congruence-closure-claims_scoped_evidence",
"type": "artifact"
}
],
"limits": [
"Finiteacyclic groundtermDAG≤32nodes,anonymous functionnumbers0–31,fixedarity0–3,backwardargumentindices,≤64equalities/disequalities/queries. Classes canonical: membersascending,classesorderedbysmallestmember.",
"Queries reportleastgeneratedcongruence independentlyofconstraintconsistency; inconsistentconstraints do notturneveryquery true. a=f(a)allowed,fa=fbdoesnotforcea=b,distinctsymbols maycoincide. No variables,quantifiers,arithmeticinterpretation,SMTSDKor realsystemclaim."
],
"module": "ground-euf-congruence-closure-claims",
"state": "observed",
"value": {
"claim_matches": false,
"consistent": true,
"disequality_conflicts": [
false
],
"equivalence_classes": [
[
0
],
[
1
],
[
2
],
[
3
]
],
"query_equalities": [
false,
false
]
},
"warnings": []
}
],
"known_count": 1,
"scope": {
"contact_values_returned": false,
"network": false,
"supplied_artifact_only": true
},
"warnings": []
},
"type": "json"
}