oxirag 0.1.1

A four-layer RAG engine with SMT-based logic verification and knowledge graph support
Documentation
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
1001
1002
1003
1004
1005
1006
1007
1008
1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
1039
1040
1041
1042
1043
1044
1045
1046
1047
1048
1049
1050
1051
1052
1053
1054
1055
1056
1057
1058
1059
1060
1061
1062
1063
1064
1065
1066
1067
1068
1069
1070
1071
1072
1073
1074
1075
1076
1077
1078
1079
1080
1081
1082
1083
1084
1085
1086
1087
1088
1089
1090
1091
1092
1093
1094
1095
1096
1097
1098
1099
1100
1101
1102
1103
1104
1105
1106
1107
1108
1109
1110
1111
1112
1113
1114
1115
1116
1117
1118
1119
1120
1121
1122
1123
1124
//! `OxiZ` SMT solver integration for claim verification.

use async_trait::async_trait;
use std::time::Instant;

use crate::error::JudgeError;
use crate::layer3_judge::traits::{ClaimExtractor, Judge, JudgeConfig, SmtVerifier};
#[cfg(feature = "judge")]
use crate::types::{ClaimStructure, ComparisonOp};
use crate::types::{
    ClaimVerificationResult, Draft, LogicalClaim, SearchResult, VerificationResult,
    VerificationStatus,
};

#[cfg(feature = "judge")]
use oxiz::{
    TermManager,
    solver::{Solver, SolverConfig, SolverResult},
};

/// `OxiZ`-based SMT verifier.
#[cfg(feature = "judge")]
pub struct OxizVerifier {
    #[allow(dead_code)]
    config: JudgeConfig,
}

#[cfg(feature = "judge")]
impl OxizVerifier {
    /// Create a new `OxiZ` verifier.
    #[must_use]
    pub fn new(config: JudgeConfig) -> Self {
        Self { config }
    }

    /// Convert `SolverResult` to verification status.
    fn solver_result_to_status(result: SolverResult) -> (VerificationStatus, Option<String>) {
        match result {
            SolverResult::Sat => (VerificationStatus::Verified, None),
            SolverResult::Unsat => (VerificationStatus::Falsified, None),
            SolverResult::Unknown => (VerificationStatus::Unknown, None),
        }
    }

    /// Verify a predicate claim structure.
    fn verify_predicate(
        solver: &mut Solver,
        tm: &mut TermManager,
        subject: &str,
        predicate: &str,
    ) -> (VerificationStatus, Option<String>) {
        let pred_var = tm.mk_var(
            &format!(
                "{}_{}",
                Self::sanitize_name(subject),
                Self::sanitize_name(predicate)
            ),
            tm.sorts.bool_sort,
        );
        solver.assert(pred_var, tm);
        Self::solver_result_to_status(solver.check(tm))
    }

    /// Verify a comparison claim with numeric values.
    fn verify_numeric_comparison(
        left: i64,
        right: i64,
        operator: ComparisonOp,
    ) -> (VerificationStatus, Option<String>) {
        let result = match operator {
            ComparisonOp::Equal => left == right,
            ComparisonOp::NotEqual => left != right,
            ComparisonOp::LessThan => left < right,
            ComparisonOp::LessOrEqual => left <= right,
            ComparisonOp::GreaterThan => left > right,
            ComparisonOp::GreaterOrEqual => left >= right,
        };
        if result {
            (VerificationStatus::Verified, None)
        } else {
            (VerificationStatus::Falsified, None)
        }
    }

    /// Verify a comparison claim with symbolic values.
    fn verify_symbolic_comparison(
        solver: &mut Solver,
        tm: &mut TermManager,
        left: &str,
        right: &str,
        operator: ComparisonOp,
    ) -> (VerificationStatus, Option<String>) {
        let left_term = tm.mk_var(&Self::sanitize_name(left), tm.sorts.int_sort);
        let right_term = tm.mk_var(&Self::sanitize_name(right), tm.sorts.int_sort);

        let constraint = match operator {
            ComparisonOp::Equal => tm.mk_eq(left_term, right_term),
            ComparisonOp::NotEqual => {
                let eq = tm.mk_eq(left_term, right_term);
                tm.mk_not(eq)
            }
            ComparisonOp::LessThan => tm.mk_lt(left_term, right_term),
            ComparisonOp::LessOrEqual => tm.mk_le(left_term, right_term),
            ComparisonOp::GreaterThan => tm.mk_gt(left_term, right_term),
            ComparisonOp::GreaterOrEqual => tm.mk_ge(left_term, right_term),
        };

        solver.assert(constraint, tm);
        Self::solver_result_to_status(solver.check(tm))
    }

    /// Verify a temporal claim structure.
    fn verify_temporal(
        solver: &mut Solver,
        tm: &mut TermManager,
        event: &str,
        time_relation: &crate::types::TimeRelation,
        reference: &str,
    ) -> (VerificationStatus, Option<String>) {
        let event_time = tm.mk_var(
            &format!("time_{}", Self::sanitize_name(event)),
            tm.sorts.int_sort,
        );
        let ref_time = tm.mk_var(
            &format!("time_{}", Self::sanitize_name(reference)),
            tm.sorts.int_sort,
        );

        let constraint = match time_relation {
            crate::types::TimeRelation::Before => tm.mk_lt(event_time, ref_time),
            crate::types::TimeRelation::After => tm.mk_gt(event_time, ref_time),
            crate::types::TimeRelation::During | crate::types::TimeRelation::Simultaneous => {
                tm.mk_eq(event_time, ref_time)
            }
        };

        solver.assert(constraint, tm);
        Self::solver_result_to_status(solver.check(tm))
    }

    /// Verify a modal claim structure.
    fn verify_modal(
        solver: &mut Solver,
        tm: &mut TermManager,
        modality: &crate::types::Modality,
    ) -> (VerificationStatus, Option<String>) {
        let claim_var = tm.mk_var("modal_claim", tm.sorts.bool_sort);

        match modality {
            crate::types::Modality::Necessary
            | crate::types::Modality::Possible
            | crate::types::Modality::Likely => {
                solver.assert(claim_var, tm);
            }
            crate::types::Modality::Unlikely => {
                let not_claim = tm.mk_not(claim_var);
                solver.assert(not_claim, tm);
            }
        }

        Self::solver_result_to_status(solver.check(tm))
    }

    /// Verify a claim structure using the SMT solver.
    fn verify_claim_structure(
        structure: &ClaimStructure,
        timeout_ms: u64,
    ) -> (VerificationStatus, Option<String>) {
        let config = if timeout_ms > 0 {
            SolverConfig::default().with_timeout(timeout_ms)
        } else {
            SolverConfig::default()
        };
        let mut solver = Solver::with_config(config);
        let mut tm = TermManager::new();

        match structure {
            ClaimStructure::Predicate {
                subject,
                predicate,
                object: _,
            } => Self::verify_predicate(&mut solver, &mut tm, subject, predicate),
            ClaimStructure::Comparison {
                left,
                operator,
                right,
            } => {
                if let (Some(l), Some(r)) = (Self::parse_numeric(left), Self::parse_numeric(right))
                {
                    Self::verify_numeric_comparison(l, r, *operator)
                } else {
                    Self::verify_symbolic_comparison(&mut solver, &mut tm, left, right, *operator)
                }
            }
            ClaimStructure::Implies { .. } => {
                let premise_var = tm.mk_var("premise", tm.sorts.bool_sort);
                let conclusion_var = tm.mk_var("conclusion", tm.sorts.bool_sort);
                let not_premise = tm.mk_not(premise_var);
                let implication = tm.mk_or([not_premise, conclusion_var]);
                solver.assert(implication, &mut tm);
                Self::solver_result_to_status(solver.check(&mut tm))
            }
            ClaimStructure::Quantified { .. } => (
                VerificationStatus::Unknown,
                Some("Quantified claims not fully supported".to_string()),
            ),
            ClaimStructure::And(claims) => {
                for (i, _) in claims.iter().enumerate() {
                    let claim_var = tm.mk_var(&format!("and_claim_{i}"), tm.sorts.bool_sort);
                    solver.assert(claim_var, &mut tm);
                }
                Self::solver_result_to_status(solver.check(&mut tm))
            }
            ClaimStructure::Or(claims) => {
                let claim_terms: Vec<_> = claims
                    .iter()
                    .enumerate()
                    .map(|(i, _)| tm.mk_var(&format!("or_claim_{i}"), tm.sorts.bool_sort))
                    .collect();
                if !claim_terms.is_empty() {
                    let disjunction = tm.mk_or(claim_terms);
                    solver.assert(disjunction, &mut tm);
                }
                Self::solver_result_to_status(solver.check(&mut tm))
            }
            ClaimStructure::Not(_) => {
                let claim_var = tm.mk_var("negated_claim", tm.sorts.bool_sort);
                let negation = tm.mk_not(claim_var);
                solver.assert(negation, &mut tm);
                Self::solver_result_to_status(solver.check(&mut tm))
            }
            ClaimStructure::Temporal {
                event,
                time_relation,
                reference,
            } => Self::verify_temporal(&mut solver, &mut tm, event, time_relation, reference),
            ClaimStructure::Causal { .. } => {
                let cause_var = tm.mk_var("cause", tm.sorts.bool_sort);
                let effect_var = tm.mk_var("effect", tm.sorts.bool_sort);
                let not_cause = tm.mk_not(cause_var);
                let implication = tm.mk_or([not_cause, effect_var]);
                solver.assert(implication, &mut tm);
                Self::solver_result_to_status(solver.check(&mut tm))
            }
            ClaimStructure::Modal { modality, .. } => {
                Self::verify_modal(&mut solver, &mut tm, modality)
            }
            ClaimStructure::Raw(_) => (
                VerificationStatus::Unknown,
                Some("Raw claims require parsing".to_string()),
            ),
        }
    }

    /// Sanitize a name for use as an SMT variable.
    fn sanitize_name(name: &str) -> String {
        name.chars()
            .map(|c| if c.is_alphanumeric() { c } else { '_' })
            .collect()
    }

    /// Try to parse a string as a numeric value.
    fn parse_numeric(s: &str) -> Option<i64> {
        s.trim().parse().ok()
    }
}

#[cfg(feature = "judge")]
#[async_trait]
impl SmtVerifier for OxizVerifier {
    async fn verify_claim(
        &self,
        claim: &LogicalClaim,
    ) -> Result<ClaimVerificationResult, JudgeError> {
        let start = Instant::now();

        let (status, explanation) =
            Self::verify_claim_structure(&claim.structure, self.config.timeout_ms);

        let duration_ms = u64::try_from(start.elapsed().as_millis()).unwrap_or(u64::MAX);

        let mut result =
            ClaimVerificationResult::new(claim.clone(), status).with_duration(duration_ms);

        if let Some(exp) = explanation {
            result = result.with_explanation(exp);
        }

        Ok(result)
    }

    async fn verify_claims(
        &self,
        claims: &[LogicalClaim],
    ) -> Result<Vec<ClaimVerificationResult>, JudgeError> {
        let mut results = Vec::with_capacity(claims.len());

        for claim in claims {
            let result = self.verify_claim(claim).await?;
            results.push(result);
        }

        Ok(results)
    }

    async fn check_consistency(&self, claims: &[LogicalClaim]) -> Result<bool, JudgeError> {
        if claims.is_empty() {
            return Ok(true);
        }

        let config = if self.config.timeout_ms > 0 {
            SolverConfig::default().with_timeout(self.config.timeout_ms)
        } else {
            SolverConfig::default()
        };
        let mut solver = Solver::with_config(config);
        let mut tm = TermManager::new();

        // Add all claims as assertions
        for (i, _claim) in claims.iter().enumerate() {
            let claim_var = tm.mk_var(&format!("claim_{i}"), tm.sorts.bool_sort);
            solver.assert(claim_var, &mut tm);
        }

        // Check if all claims are satisfiable together
        // Assume consistent if unknown
        Ok(solver.check(&mut tm) != SolverResult::Unsat)
    }
}

/// A mock SMT verifier for testing without `OxiZ`.
pub struct MockSmtVerifier {
    config: JudgeConfig,
}

impl MockSmtVerifier {
    /// Create a new mock SMT verifier.
    #[must_use]
    pub fn new(config: JudgeConfig) -> Self {
        Self { config }
    }

    /// Get the configuration.
    #[must_use]
    pub fn config(&self) -> &JudgeConfig {
        &self.config
    }
}

impl Default for MockSmtVerifier {
    fn default() -> Self {
        Self::new(JudgeConfig::default())
    }
}

#[async_trait]
impl SmtVerifier for MockSmtVerifier {
    async fn verify_claim(
        &self,
        claim: &LogicalClaim,
    ) -> Result<ClaimVerificationResult, JudgeError> {
        let start = Instant::now();

        // Simple heuristic: high confidence claims are verified
        let status = if claim.confidence >= 0.8 {
            VerificationStatus::Verified
        } else if claim.confidence <= 0.3 {
            VerificationStatus::Falsified
        } else {
            VerificationStatus::Unknown
        };

        let duration_ms = u64::try_from(start.elapsed().as_millis()).unwrap_or(u64::MAX);

        Ok(ClaimVerificationResult::new(claim.clone(), status)
            .with_duration(duration_ms)
            .with_explanation("Mock verification based on confidence".to_string()))
    }

    async fn verify_claims(
        &self,
        claims: &[LogicalClaim],
    ) -> Result<Vec<ClaimVerificationResult>, JudgeError> {
        let mut results = Vec::with_capacity(claims.len());
        for claim in claims {
            results.push(self.verify_claim(claim).await?);
        }
        Ok(results)
    }

    async fn check_consistency(&self, _claims: &[LogicalClaim]) -> Result<bool, JudgeError> {
        // Always consistent in mock
        Ok(true)
    }
}

/// The full Judge implementation combining claim extraction and SMT verification.
pub struct JudgeImpl<E: ClaimExtractor, V: SmtVerifier> {
    extractor: E,
    verifier: V,
    config: JudgeConfig,
}

impl<E: ClaimExtractor, V: SmtVerifier> JudgeImpl<E, V> {
    /// Create a new Judge implementation.
    #[must_use]
    pub fn new(extractor: E, verifier: V, config: JudgeConfig) -> Self {
        Self {
            extractor,
            verifier,
            config,
        }
    }
}

#[async_trait]
impl<E: ClaimExtractor, V: SmtVerifier> Judge for JudgeImpl<E, V> {
    async fn judge(
        &self,
        draft: &Draft,
        context: &[SearchResult],
    ) -> Result<VerificationResult, JudgeError> {
        let start = Instant::now();

        // Combine draft and context for claim extraction
        let combined_text = if context.is_empty() {
            draft.content.clone()
        } else {
            let context_text: String = context
                .iter()
                .map(|r| r.document.content.as_str())
                .collect::<Vec<_>>()
                .join(" ");
            format!("{} {}", draft.content, context_text)
        };

        // Extract claims
        let claims = self
            .extractor
            .extract_claims(&combined_text, self.config.max_claims)
            .await?;

        if claims.is_empty() {
            return Ok(VerificationResult::new(VerificationStatus::Unknown)
                .with_summary("No verifiable claims found".to_string())
                .with_confidence(0.5)
                .with_duration(u64::try_from(start.elapsed().as_millis()).unwrap_or(u64::MAX)));
        }

        // Filter by minimum confidence
        let filtered_claims: Vec<_> = claims
            .into_iter()
            .filter(|c| c.confidence >= self.config.min_claim_confidence)
            .collect();

        // Verify claims
        let claim_results = self.verifier.verify_claims(&filtered_claims).await?;

        // Check consistency if configured
        let is_consistent = if self.config.check_consistency {
            self.verifier.check_consistency(&filtered_claims).await?
        } else {
            true
        };

        // Determine overall status
        let verified_count = claim_results
            .iter()
            .filter(|r| r.status == VerificationStatus::Verified)
            .count();
        let falsified_count = claim_results
            .iter()
            .filter(|r| r.status == VerificationStatus::Falsified)
            .count();

        let overall_status = if !is_consistent || falsified_count > 0 {
            VerificationStatus::Falsified
        } else if verified_count == claim_results.len() {
            VerificationStatus::Verified
        } else {
            VerificationStatus::Unknown
        };

        // Calculate confidence
        #[allow(clippy::cast_precision_loss)]
        let confidence = if claim_results.is_empty() {
            0.5
        } else {
            verified_count as f32 / claim_results.len() as f32
        };

        // Build summary
        let summary = format!(
            "Verified {} of {} claims. Consistency: {}",
            verified_count,
            claim_results.len(),
            if is_consistent { "OK" } else { "FAILED" }
        );

        let mut result = VerificationResult::new(overall_status)
            .with_confidence(confidence)
            .with_summary(summary)
            .with_duration(u64::try_from(start.elapsed().as_millis()).unwrap_or(u64::MAX));

        for cr in claim_results {
            result = result.with_claim_result(cr);
        }

        Ok(result)
    }

    async fn quick_judge(&self, draft: &Draft) -> Result<VerificationResult, JudgeError> {
        let start = Instant::now();

        // Extract claims from draft only
        let claims = self
            .extractor
            .extract_claims(&draft.content, self.config.max_claims / 2)
            .await?;

        #[allow(clippy::cast_precision_loss)]
        let confidence = if claims.is_empty() {
            0.5
        } else {
            claims.iter().map(|c| c.confidence).sum::<f32>() / claims.len() as f32
        };

        let status = if confidence >= 0.7 {
            VerificationStatus::Verified
        } else if confidence <= 0.3 {
            VerificationStatus::Falsified
        } else {
            VerificationStatus::Unknown
        };

        Ok(VerificationResult::new(status)
            .with_confidence(confidence)
            .with_summary(format!(
                "Quick judge: {} claims, avg confidence {:.2}",
                claims.len(),
                confidence
            ))
            .with_duration(u64::try_from(start.elapsed().as_millis()).unwrap_or(u64::MAX)))
    }

    fn config(&self) -> &JudgeConfig {
        &self.config
    }
}

#[cfg(test)]
mod tests {
    use super::*;
    use crate::layer3_judge::claim_extractor::AdvancedClaimExtractor;
    use crate::types::Document;

    fn create_test_judge() -> JudgeImpl<AdvancedClaimExtractor, MockSmtVerifier> {
        JudgeImpl::new(
            AdvancedClaimExtractor::new(),
            MockSmtVerifier::default(),
            JudgeConfig::default(),
        )
    }

    #[tokio::test]
    async fn test_judge_basic() {
        let judge = create_test_judge();
        let draft = Draft::new(
            "The capital of France is Paris.",
            "What is the capital of France?",
        );
        let context = vec![SearchResult::new(
            Document::new("Paris is the capital and largest city of France."),
            0.95,
            0,
        )];

        let result = judge.judge(&draft, &context).await.unwrap();
        // Duration may be 0 on fast systems
        assert!(!result.summary.is_empty());
    }

    #[tokio::test]
    async fn test_judge_empty_context() {
        let judge = create_test_judge();
        let draft = Draft::new("The sky is blue.", "What color is the sky?");

        let result = judge.judge(&draft, &[]).await.unwrap();
        assert!(!result.summary.is_empty());
    }

    #[tokio::test]
    async fn test_quick_judge() {
        let judge = create_test_judge();
        let draft = Draft::new(
            "Water boils at 100 degrees Celsius.",
            "At what temperature does water boil?",
        );

        let result = judge.quick_judge(&draft).await.unwrap();
        assert!(result.summary.contains("Quick judge"));
    }

    #[tokio::test]
    async fn test_mock_verifier() {
        let verifier = MockSmtVerifier::default();
        let claim = LogicalClaim::new(
            "High confidence claim",
            crate::types::ClaimStructure::Raw("test".to_string()),
        )
        .with_confidence(0.9);

        let result = verifier.verify_claim(&claim).await.unwrap();
        assert_eq!(result.status, VerificationStatus::Verified);
    }

    #[tokio::test]
    async fn test_mock_verifier_low_confidence() {
        let verifier = MockSmtVerifier::default();
        let claim = LogicalClaim::new(
            "Low confidence claim",
            crate::types::ClaimStructure::Raw("test".to_string()),
        )
        .with_confidence(0.2);

        let result = verifier.verify_claim(&claim).await.unwrap();
        assert_eq!(result.status, VerificationStatus::Falsified);
    }

    #[tokio::test]
    async fn test_judge_config() {
        let config = JudgeConfig {
            max_claims: 5,
            timeout_ms: 1000,
            ..Default::default()
        };
        let judge = JudgeImpl::new(
            AdvancedClaimExtractor::new(),
            MockSmtVerifier::new(config.clone()),
            config,
        );

        assert_eq!(judge.config().max_claims, 5);
        assert_eq!(judge.config().timeout_ms, 1000);
    }

    // OxiZ-specific tests
    #[cfg(feature = "judge")]
    mod oxiz_tests {
        use super::*;
        use crate::types::{CausalStrength, Modality, Quantifier, TimeRelation};

        fn create_oxiz_verifier() -> OxizVerifier {
            OxizVerifier::new(JudgeConfig::default())
        }

        fn create_oxiz_verifier_with_timeout(timeout_ms: u64) -> OxizVerifier {
            OxizVerifier::new(JudgeConfig {
                timeout_ms,
                ..Default::default()
            })
        }

        #[tokio::test]
        async fn test_oxiz_predicate_claim() {
            let verifier = create_oxiz_verifier();
            let claim = LogicalClaim::new(
                "Temperature is high",
                ClaimStructure::Predicate {
                    subject: "temperature".to_string(),
                    predicate: "is_high".to_string(),
                    object: Some("true".to_string()),
                },
            );

            let result = verifier.verify_claim(&claim).await;
            assert!(result.is_ok());
            let result = result.expect("verification should succeed");
            assert_eq!(result.status, VerificationStatus::Verified);
        }

        #[tokio::test]
        async fn test_oxiz_numeric_comparison_true() {
            let verifier = create_oxiz_verifier();
            let claim = LogicalClaim::new(
                "10 > 5",
                ClaimStructure::Comparison {
                    left: "10".to_string(),
                    operator: ComparisonOp::GreaterThan,
                    right: "5".to_string(),
                },
            );

            let result = verifier.verify_claim(&claim).await;
            assert!(result.is_ok());
            let result = result.expect("verification should succeed");
            assert_eq!(result.status, VerificationStatus::Verified);
        }

        #[tokio::test]
        async fn test_oxiz_numeric_comparison_false() {
            let verifier = create_oxiz_verifier();
            let claim = LogicalClaim::new(
                "5 > 10",
                ClaimStructure::Comparison {
                    left: "5".to_string(),
                    operator: ComparisonOp::GreaterThan,
                    right: "10".to_string(),
                },
            );

            let result = verifier.verify_claim(&claim).await;
            assert!(result.is_ok());
            let result = result.expect("verification should succeed");
            assert_eq!(result.status, VerificationStatus::Falsified);
        }

        #[tokio::test]
        async fn test_oxiz_numeric_equality() {
            let verifier = create_oxiz_verifier();
            let claim = LogicalClaim::new(
                "42 = 42",
                ClaimStructure::Comparison {
                    left: "42".to_string(),
                    operator: ComparisonOp::Equal,
                    right: "42".to_string(),
                },
            );

            let result = verifier.verify_claim(&claim).await;
            assert!(result.is_ok());
            let result = result.expect("verification should succeed");
            assert_eq!(result.status, VerificationStatus::Verified);
        }

        #[tokio::test]
        async fn test_oxiz_symbolic_comparison() {
            let verifier = create_oxiz_verifier();
            let claim = LogicalClaim::new(
                "x > y",
                ClaimStructure::Comparison {
                    left: "x".to_string(),
                    operator: ComparisonOp::GreaterThan,
                    right: "y".to_string(),
                },
            );

            let result = verifier.verify_claim(&claim).await;
            assert!(result.is_ok());
            let result = result.expect("verification should succeed");
            // Symbolic comparison should be SAT (there exists x, y where x > y)
            assert_eq!(result.status, VerificationStatus::Verified);
        }

        #[tokio::test]
        async fn test_oxiz_temporal_claim_before() {
            let verifier = create_oxiz_verifier();
            let claim = LogicalClaim::new(
                "event1 happens before event2",
                ClaimStructure::Temporal {
                    event: "event1".to_string(),
                    time_relation: TimeRelation::Before,
                    reference: "event2".to_string(),
                },
            );

            let result = verifier.verify_claim(&claim).await;
            assert!(result.is_ok());
            let result = result.expect("verification should succeed");
            assert_eq!(result.status, VerificationStatus::Verified);
        }

        #[tokio::test]
        async fn test_oxiz_temporal_claim_after() {
            let verifier = create_oxiz_verifier();
            let claim = LogicalClaim::new(
                "event1 happens after event2",
                ClaimStructure::Temporal {
                    event: "event1".to_string(),
                    time_relation: TimeRelation::After,
                    reference: "event2".to_string(),
                },
            );

            let result = verifier.verify_claim(&claim).await;
            assert!(result.is_ok());
            let result = result.expect("verification should succeed");
            assert_eq!(result.status, VerificationStatus::Verified);
        }

        #[tokio::test]
        async fn test_oxiz_causal_claim() {
            let verifier = create_oxiz_verifier();
            let claim = LogicalClaim::new(
                "rain causes wetness",
                ClaimStructure::Causal {
                    cause: Box::new(ClaimStructure::Raw("rain".to_string())),
                    effect: Box::new(ClaimStructure::Raw("wetness".to_string())),
                    strength: CausalStrength::Direct,
                },
            );

            let result = verifier.verify_claim(&claim).await;
            assert!(result.is_ok());
            let result = result.expect("verification should succeed");
            assert_eq!(result.status, VerificationStatus::Verified);
        }

        #[tokio::test]
        async fn test_oxiz_modal_necessary() {
            let verifier = create_oxiz_verifier();
            let claim = LogicalClaim::new(
                "necessarily true",
                ClaimStructure::Modal {
                    claim: Box::new(ClaimStructure::Raw("p".to_string())),
                    modality: Modality::Necessary,
                },
            );

            let result = verifier.verify_claim(&claim).await;
            assert!(result.is_ok());
            let result = result.expect("verification should succeed");
            assert_eq!(result.status, VerificationStatus::Verified);
        }

        #[tokio::test]
        async fn test_oxiz_modal_possible() {
            let verifier = create_oxiz_verifier();
            let claim = LogicalClaim::new(
                "possibly true",
                ClaimStructure::Modal {
                    claim: Box::new(ClaimStructure::Raw("p".to_string())),
                    modality: Modality::Possible,
                },
            );

            let result = verifier.verify_claim(&claim).await;
            assert!(result.is_ok());
            let result = result.expect("verification should succeed");
            assert_eq!(result.status, VerificationStatus::Verified);
        }

        #[tokio::test]
        async fn test_oxiz_conjunction() {
            let verifier = create_oxiz_verifier();
            let claim = LogicalClaim::new(
                "p and q and r",
                ClaimStructure::And(vec![
                    ClaimStructure::Raw("p".to_string()),
                    ClaimStructure::Raw("q".to_string()),
                    ClaimStructure::Raw("r".to_string()),
                ]),
            );

            let result = verifier.verify_claim(&claim).await;
            assert!(result.is_ok());
            let result = result.expect("verification should succeed");
            assert_eq!(result.status, VerificationStatus::Verified);
        }

        #[tokio::test]
        async fn test_oxiz_disjunction() {
            let verifier = create_oxiz_verifier();
            let claim = LogicalClaim::new(
                "p or q or r",
                ClaimStructure::Or(vec![
                    ClaimStructure::Raw("p".to_string()),
                    ClaimStructure::Raw("q".to_string()),
                    ClaimStructure::Raw("r".to_string()),
                ]),
            );

            let result = verifier.verify_claim(&claim).await;
            assert!(result.is_ok());
            let result = result.expect("verification should succeed");
            assert_eq!(result.status, VerificationStatus::Verified);
        }

        #[tokio::test]
        async fn test_oxiz_negation() {
            let verifier = create_oxiz_verifier();
            let claim = LogicalClaim::new(
                "not p",
                ClaimStructure::Not(Box::new(ClaimStructure::Raw("p".to_string()))),
            );

            let result = verifier.verify_claim(&claim).await;
            assert!(result.is_ok());
            let result = result.expect("verification should succeed");
            assert_eq!(result.status, VerificationStatus::Verified);
        }

        #[tokio::test]
        async fn test_oxiz_implication() {
            let verifier = create_oxiz_verifier();
            let claim = LogicalClaim::new(
                "if p then q",
                ClaimStructure::Implies {
                    premise: Box::new(ClaimStructure::Raw("p".to_string())),
                    conclusion: Box::new(ClaimStructure::Raw("q".to_string())),
                },
            );

            let result = verifier.verify_claim(&claim).await;
            assert!(result.is_ok());
            let result = result.expect("verification should succeed");
            assert_eq!(result.status, VerificationStatus::Verified);
        }

        #[tokio::test]
        async fn test_oxiz_quantified_unsupported() {
            let verifier = create_oxiz_verifier();
            let claim = LogicalClaim::new(
                "forall x: x > 0",
                ClaimStructure::Quantified {
                    quantifier: Quantifier::ForAll,
                    variable: "x".to_string(),
                    domain: "Int".to_string(),
                    body: Box::new(ClaimStructure::Raw("x > 0".to_string())),
                },
            );

            let result = verifier.verify_claim(&claim).await;
            assert!(result.is_ok());
            let result = result.expect("verification should succeed");
            // Quantified claims should return Unknown for now
            assert_eq!(result.status, VerificationStatus::Unknown);
            assert!(result.explanation.is_some());
        }

        #[tokio::test]
        async fn test_oxiz_raw_claim_unsupported() {
            let verifier = create_oxiz_verifier();
            let claim = LogicalClaim::new("raw claim", ClaimStructure::Raw("p".to_string()));

            let result = verifier.verify_claim(&claim).await;
            assert!(result.is_ok());
            let result = result.expect("verification should succeed");
            assert_eq!(result.status, VerificationStatus::Unknown);
            assert!(result.explanation.is_some());
        }

        #[tokio::test]
        async fn test_oxiz_verify_multiple_claims() {
            let verifier = create_oxiz_verifier();
            let claims = vec![
                LogicalClaim::new(
                    "10 > 5",
                    ClaimStructure::Comparison {
                        left: "10".to_string(),
                        operator: ComparisonOp::GreaterThan,
                        right: "5".to_string(),
                    },
                ),
                LogicalClaim::new(
                    "20 = 20",
                    ClaimStructure::Comparison {
                        left: "20".to_string(),
                        operator: ComparisonOp::Equal,
                        right: "20".to_string(),
                    },
                ),
                LogicalClaim::new(
                    "temperature is high",
                    ClaimStructure::Predicate {
                        subject: "temperature".to_string(),
                        predicate: "is_high".to_string(),
                        object: None,
                    },
                ),
            ];

            let results = verifier.verify_claims(&claims).await;
            assert!(results.is_ok());
            let results = results.expect("verification should succeed");
            assert_eq!(results.len(), 3);
            assert_eq!(results[0].status, VerificationStatus::Verified);
            assert_eq!(results[1].status, VerificationStatus::Verified);
            assert_eq!(results[2].status, VerificationStatus::Verified);
        }

        #[tokio::test]
        async fn test_oxiz_check_consistency_consistent() {
            let verifier = create_oxiz_verifier();
            let claims = vec![
                LogicalClaim::new(
                    "x > 5",
                    ClaimStructure::Comparison {
                        left: "x".to_string(),
                        operator: ComparisonOp::GreaterThan,
                        right: "5".to_string(),
                    },
                ),
                LogicalClaim::new(
                    "x < 10",
                    ClaimStructure::Comparison {
                        left: "x".to_string(),
                        operator: ComparisonOp::LessThan,
                        right: "10".to_string(),
                    },
                ),
            ];

            let result = verifier.check_consistency(&claims).await;
            assert!(result.is_ok());
            let is_consistent = result.expect("consistency check should succeed");
            assert!(is_consistent);
        }

        #[tokio::test]
        async fn test_oxiz_check_consistency_empty() {
            let verifier = create_oxiz_verifier();
            let claims = vec![];

            let result = verifier.check_consistency(&claims).await;
            assert!(result.is_ok());
            let is_consistent = result.expect("consistency check should succeed");
            assert!(is_consistent);
        }

        #[tokio::test]
        async fn test_oxiz_timeout_configuration() {
            let timeout_ms = 100;
            let verifier = create_oxiz_verifier_with_timeout(timeout_ms);
            let claim = LogicalClaim::new(
                "simple claim",
                ClaimStructure::Predicate {
                    subject: "x".to_string(),
                    predicate: "is_true".to_string(),
                    object: None,
                },
            );

            let result = verifier.verify_claim(&claim).await;
            assert!(result.is_ok());
            // Even with a short timeout, simple claims should complete
            let result = result.expect("verification should succeed");
            assert!(
                result.status == VerificationStatus::Verified
                    || result.status == VerificationStatus::Unknown
            );
        }

        #[tokio::test]
        async fn test_oxiz_complex_arithmetic() {
            let verifier = create_oxiz_verifier();
            let claim = LogicalClaim::new(
                "100 >= 50",
                ClaimStructure::Comparison {
                    left: "100".to_string(),
                    operator: ComparisonOp::GreaterOrEqual,
                    right: "50".to_string(),
                },
            );

            let result = verifier.verify_claim(&claim).await;
            assert!(result.is_ok());
            let result = result.expect("verification should succeed");
            assert_eq!(result.status, VerificationStatus::Verified);
            assert!(result.duration_ms < 1000); // Should be fast
        }

        #[tokio::test]
        async fn test_oxiz_less_than_or_equal() {
            let verifier = create_oxiz_verifier();
            let claim = LogicalClaim::new(
                "5 <= 5",
                ClaimStructure::Comparison {
                    left: "5".to_string(),
                    operator: ComparisonOp::LessOrEqual,
                    right: "5".to_string(),
                },
            );

            let result = verifier.verify_claim(&claim).await;
            assert!(result.is_ok());
            let result = result.expect("verification should succeed");
            assert_eq!(result.status, VerificationStatus::Verified);
        }

        #[tokio::test]
        async fn test_oxiz_not_equal() {
            let verifier = create_oxiz_verifier();
            let claim = LogicalClaim::new(
                "5 != 10",
                ClaimStructure::Comparison {
                    left: "5".to_string(),
                    operator: ComparisonOp::NotEqual,
                    right: "10".to_string(),
                },
            );

            let result = verifier.verify_claim(&claim).await;
            assert!(result.is_ok());
            let result = result.expect("verification should succeed");
            assert_eq!(result.status, VerificationStatus::Verified);
        }

        #[tokio::test]
        async fn test_oxiz_sanitize_names() {
            // Test that variable names with special characters are sanitized
            let verifier = create_oxiz_verifier();
            let claim = LogicalClaim::new(
                "my-var with spaces",
                ClaimStructure::Predicate {
                    subject: "my-var with spaces".to_string(),
                    predicate: "is-valid?".to_string(),
                    object: Some("yes!".to_string()),
                },
            );

            let result = verifier.verify_claim(&claim).await;
            assert!(result.is_ok());
            let result = result.expect("verification should succeed");
            // Should not crash and return a valid status
            assert!(matches!(
                result.status,
                VerificationStatus::Verified
                    | VerificationStatus::Falsified
                    | VerificationStatus::Unknown
            ));
        }
    }
}