data_type stringclasses 5
values | answer_start_char int64 18 266 ⌀ | tokens list | id int64 0 2.35k | answer_char_len int64 1 19 ⌀ | tokens_len int64 11 3.78k | shows_work bool 1
class | tokenizer stringclasses 1
value | char_len int64 19 5.75k | rule stringlengths 5 10 ⌀ | word_problem_type stringclasses 3
values | kind stringclasses 4
values | txt stringlengths 19 5.75k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
boolean | null | [
18902,
25,
97265,
1209,
48,
12264,
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1229,
8,
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320,
51,
75078,
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7,
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48,
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1192,
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51,
75078,
1229,
8,
12264,
101,
32... | 1,500 | null | 491 | null | cl100k_base | 765 | null | null | null | Original: ¬((Q ∨ Q) ∨ (T ∧ Q))
Options:
(¬(Q ∨ Q)) ∧ (¬(T ∧ Q))
¬((T ∧ Q) ∨ (Q ∨ Q))
¬(Q ∨ (Q ∨ (T ∧ Q)))
¬(((Q ∨ Q) ∨ T) ∧ ((Q ∨ Q) ∨ Q))
¬((Q ∨ Q) ∨ (Q ∧ T))
¬(Q ∨ (T ∧ Q))
Chosen: ¬(Q ∨ (T ∧ Q))
Options:
(¬Q) ∧ (¬(T ∧ Q))
¬((T ∧ Q) ∨ Q)
¬((Q ∨ T) ∧ (Q ∨ Q))
¬(Q ∨ (Q ∧ T))
Chosen: ¬((Q ∨ T) ∧ (Q ∨ Q))
Options:
(¬(... |
boolean | null | [
18902,
25,
320,
83193,
7,
34,
75078,
220,
16,
595,
12264,
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1819,
15,
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16,
8,
12264,
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83193,
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4489,
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1209,
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16,
8,
12264,
101,
320,
83193,
16,
595,
12264,
101,
320,
83193,
7,
34,
... | 1,501 | null | 708 | null | cl100k_base | 1,002 | null | null | null | Original: (¬(C ∧ 1)) ∨ ((0 ∧ 1) ∨ (¬1))
Options:
((0 ∧ 1) ∨ (¬1)) ∨ (¬(C ∧ 1))
((¬(C ∧ 1)) ∨ (0 ∧ 1)) ∨ (¬1)
(¬(C ∧ 1)) ∨ ((¬1) ∨ (0 ∧ 1))
(¬(C ∧ 1)) ∨ ((0 ∧ 1) ∨ 0)
(¬(C ∧ 1)) ∨ (0 ∨ (¬1))
(¬(C ∧ 1)) ∨ ((1 ∧ 0) ∨ (¬1))
((¬C) ∨ (¬1)) ∨ ((0 ∧ 1) ∨ (¬1))
(¬C) ∨ ((0 ∧ 1) ∨ (¬1))
(¬(1 ∧ C)) ∨ ((0 ∧ 1) ∨ (¬1))
Chosen: (¬(1... |
boolean | null | [
18902,
25,
1819,
16,
75078,
220,
16,
8,
12264,
101,
320,
16,
75078,
423,
595,
12264,
101,
1819,
83193,
35,
8,
75078,
320,
16,
75078,
423,
4489,
3883,
512,
1209,
83193,
35,
8,
75078,
320,
16,
75078,
423,
595,
12264,
101,
1819,
16,
... | 1,502 | null | 1,313 | null | cl100k_base | 2,041 | null | null | null | Original: ((1 ∧ 1) ∨ (1 ∧ D)) ∨ ((¬D) ∧ (1 ∧ D))
Options:
((¬D) ∧ (1 ∧ D)) ∨ ((1 ∧ 1) ∨ (1 ∧ D))
(1 ∧ 1) ∨ ((1 ∧ D) ∨ ((¬D) ∧ (1 ∧ D)))
(((1 ∧ 1) ∨ (1 ∧ D)) ∨ (¬D)) ∧ (((1 ∧ 1) ∨ (1 ∧ D)) ∨ (1 ∧ D))
((1 ∧ 1) ∨ (1 ∧ D)) ∨ ((1 ∧ D) ∧ (¬D))
((1 ∧ 1) ∨ (1 ∧ D)) ∨ (((¬D) ∧ 1) ∧ D)
((1 ∧ 1) ∨ (1 ∧ D)) ∨ ((¬D) ∧ D)
((1 ∧ 1) ... |
boolean | null | [
18902,
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1819,
15,
75078,
1901,
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75078,
320,
83193,
57,
595,
75078,
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83193,
15,
8,
12264,
101,
320,
57,
75078,
650,
4489,
3883,
512,
1209,
83193,
15,
8,
12264,
101,
320,
57,
75078,
650,
595,
75078,
1819,
15,
75078,
1901,
8,... | 1,503 | null | 1,135 | null | cl100k_base | 1,887 | null | null | null | Original: ((0 ∧ Z) ∧ (¬Z)) ∧ ((¬0) ∨ (Z ∧ V))
Options:
((¬0) ∨ (Z ∧ V)) ∧ ((0 ∧ Z) ∧ (¬Z))
(0 ∧ Z) ∧ ((¬Z) ∧ ((¬0) ∨ (Z ∧ V)))
(((0 ∧ Z) ∧ (¬Z)) ∧ (¬0)) ∨ (((0 ∧ Z) ∧ (¬Z)) ∧ (Z ∧ V))
((0 ∧ Z) ∧ (¬Z)) ∧ ((Z ∧ V) ∨ (¬0))
((0 ∧ Z) ∧ (¬Z)) ∧ (((¬0) ∨ Z) ∧ ((¬0) ∨ V))
((0 ∧ Z) ∧ (¬Z)) ∧ ((¬0) ∨ (V ∧ Z))
((0 ∧ Z) ∧ (¬Z)) ∧... |
boolean | null | [
18902,
25,
1819,
48,
75078,
220,
15,
8,
12264,
101,
320,
16,
75078,
1901,
595,
12264,
101,
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48,
8,
12264,
101,
320,
16,
75078,
1229,
4489,
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512,
1209,
83193,
48,
8,
12264,
101,
320,
16,
75078,
1229,
595,
12264,
101,... | 1,504 | null | 2,201 | null | cl100k_base | 3,183 | null | null | null | Original: ((Q ∧ 0) ∨ (1 ∧ Z)) ∨ ((¬Q) ∨ (1 ∧ Q))
Options:
((¬Q) ∨ (1 ∧ Q)) ∨ ((Q ∧ 0) ∨ (1 ∧ Z))
(((Q ∧ 0) ∨ (1 ∧ Z)) ∨ (¬Q)) ∨ (1 ∧ Q)
(Q ∧ 0) ∨ ((1 ∧ Z) ∨ ((¬Q) ∨ (1 ∧ Q)))
((Q ∧ 0) ∨ (1 ∧ Z)) ∨ ((1 ∧ Q) ∨ (¬Q))
((Q ∧ 0) ∨ (1 ∧ Z)) ∨ (((¬Q) ∨ 1) ∧ ((¬Q) ∨ Q))
((Q ∧ 0) ∨ (1 ∧ Z)) ∨ ((¬Q) ∨ Q)
((Q ∧ 0) ∨ (1 ∧ Z)) ∨ ((... |
boolean | null | [
18902,
25,
97265,
1209,
15,
12264,
101,
393,
8,
75078,
320,
83193,
15,
4489,
3883,
512,
7,
83193,
7,
15,
12264,
101,
393,
595,
12264,
101,
320,
83193,
7,
83193,
15,
1192,
83193,
1209,
83193,
15,
8,
75078,
320,
15,
12264,
101,
393,
... | 1,505 | null | 178 | null | cl100k_base | 282 | null | null | null | Original: ¬((0 ∨ P) ∧ (¬0))
Options:
(¬(0 ∨ P)) ∨ (¬(¬0))
¬((¬0) ∧ (0 ∨ P))
¬((0 ∨ P) ∧ 1)
¬(P ∧ (¬0))
¬((P ∨ 0) ∧ (¬0))
Chosen: ¬((0 ∨ P) ∧ 1)
Options:
(¬(0 ∨ P)) ∨ (¬1)
¬(0 ∨ P)
¬(1 ∧ (0 ∨ P))
¬(P ∧ 1)
¬((P ∨ 0) ∧ 1)
Chosen: ¬(P ∧ 1)
Options:
(¬P) ∨ (¬1)
¬P
¬(1 ∧ P)
Chosen: ¬P |
boolean | null | [
18902,
25,
97265,
1209,
42,
12264,
101,
650,
8,
12264,
101,
320,
83193,
16,
4489,
3883,
512,
7,
83193,
7,
42,
12264,
101,
650,
595,
75078,
320,
83193,
7,
83193,
16,
1192,
83193,
1209,
83193,
16,
8,
12264,
101,
320,
42,
12264,
101,
... | 1,506 | null | 239 | null | cl100k_base | 381 | null | null | null | Original: ¬((K ∨ V) ∨ (¬1))
Options:
(¬(K ∨ V)) ∧ (¬(¬1))
¬((¬1) ∨ (K ∨ V))
¬(K ∨ (V ∨ (¬1)))
¬((K ∨ V) ∨ 0)
¬((V ∨ K) ∨ (¬1))
Chosen: ¬((K ∨ V) ∨ 0)
Options:
(¬(K ∨ V)) ∧ (¬0)
¬(K ∨ V)
¬(0 ∨ (K ∨ V))
¬(K ∨ (V ∨ 0))
¬((V ∨ K) ∨ 0)
Chosen: ¬(K ∨ V)
Options:
(¬K) ∧ (¬V)
¬(V ∨ K)
Chosen: ¬(V ∨ K)
Options:
(¬V) ∧ (¬K)
... |
boolean | null | [
18902,
25,
1819,
83193,
15,
8,
75078,
320,
16,
12264,
101,
220,
15,
595,
75078,
1819,
37,
75078,
435,
8,
12264,
101,
320,
83193,
37,
4489,
3883,
512,
1209,
37,
75078,
435,
8,
12264,
101,
320,
83193,
37,
595,
75078,
1819,
83193,
15,
... | 1,507 | null | 1,005 | null | cl100k_base | 1,494 | null | null | null | Original: ((¬0) ∧ (1 ∨ 0)) ∧ ((F ∧ F) ∨ (¬F))
Options:
((F ∧ F) ∨ (¬F)) ∧ ((¬0) ∧ (1 ∨ 0))
(¬0) ∧ ((1 ∨ 0) ∧ ((F ∧ F) ∨ (¬F)))
(((¬0) ∧ (1 ∨ 0)) ∧ (F ∧ F)) ∨ (((¬0) ∧ (1 ∨ 0)) ∧ (¬F))
((¬0) ∧ (1 ∨ 0)) ∧ ((¬F) ∨ (F ∧ F))
((¬0) ∧ (1 ∨ 0)) ∧ (F ∨ (¬F))
((1 ∨ 0) ∧ (¬0)) ∧ ((F ∧ F) ∨ (¬F))
(((¬0) ∧ 1) ∨ ((¬0) ∧ 0)) ∧ ((F ∧... |
boolean | null | [
18902,
25,
1819,
15,
12264,
101,
220,
16,
8,
75078,
320,
15,
12264,
101,
432,
595,
75078,
1819,
48,
12264,
101,
1229,
8,
75078,
320,
48,
12264,
101,
220,
16,
4489,
3883,
512,
1209,
48,
12264,
101,
1229,
8,
75078,
320,
48,
12264,
1... | 1,508 | null | 1,710 | null | cl100k_base | 2,553 | null | null | null | Original: ((0 ∨ 1) ∧ (0 ∨ R)) ∧ ((Q ∨ Q) ∧ (Q ∨ 1))
Options:
((Q ∨ Q) ∧ (Q ∨ 1)) ∧ ((0 ∨ 1) ∧ (0 ∨ R))
(((0 ∨ 1) ∧ (0 ∨ R)) ∧ (Q ∨ Q)) ∧ (Q ∨ 1)
(0 ∨ 1) ∧ ((0 ∨ R) ∧ ((Q ∨ Q) ∧ (Q ∨ 1)))
((0 ∨ 1) ∧ (0 ∨ R)) ∧ ((Q ∨ 1) ∧ (Q ∨ Q))
((0 ∨ 1) ∧ (0 ∨ R)) ∧ (((Q ∨ Q) ∧ Q) ∨ ((Q ∨ Q) ∧ 1))
((0 ∨ 1) ∧ (0 ∨ R)) ∧ ((Q ∨ Q) ∧ 1)
... |
boolean | null | [
18902,
25,
1819,
33,
75078,
362,
8,
75078,
320,
83193,
16,
595,
75078,
1819,
83193,
15,
8,
12264,
101,
320,
15,
75078,
220,
16,
4489,
3883,
512,
1209,
83193,
15,
8,
12264,
101,
320,
15,
75078,
220,
16,
595,
75078,
1819,
33,
75078,
... | 1,509 | null | 1,023 | null | cl100k_base | 1,656 | null | null | null | Original: ((B ∧ A) ∧ (¬1)) ∧ ((¬0) ∨ (0 ∧ 1))
Options:
((¬0) ∨ (0 ∧ 1)) ∧ ((B ∧ A) ∧ (¬1))
(B ∧ A) ∧ ((¬1) ∧ ((¬0) ∨ (0 ∧ 1)))
(((B ∧ A) ∧ (¬1)) ∧ (¬0)) ∨ (((B ∧ A) ∧ (¬1)) ∧ (0 ∧ 1))
((B ∧ A) ∧ (¬1)) ∧ ((0 ∧ 1) ∨ (¬0))
((B ∧ A) ∧ (¬1)) ∧ (((¬0) ∨ 0) ∧ ((¬0) ∨ 1))
((B ∧ A) ∧ (¬1)) ∧ ((¬0) ∨ 0)
((B ∧ A) ∧ (¬1)) ∧ ((¬0)... |
boolean | null | [
18902,
25,
320,
83193,
7,
15,
12264,
101,
220,
16,
595,
75078,
320,
83193,
7,
83193,
50,
4489,
3883,
512,
7,
83193,
7,
83193,
50,
595,
75078,
320,
83193,
7,
15,
12264,
101,
220,
16,
1192,
7,
83193,
7,
15,
12264,
101,
220,
16,
59... | 1,510 | null | 240 | null | cl100k_base | 389 | null | null | null | Original: (¬(0 ∨ 1)) ∧ (¬(¬S))
Options:
(¬(¬S)) ∧ (¬(0 ∨ 1))
(¬(0 ∨ 1)) ∧ S
((¬0) ∧ (¬1)) ∧ (¬(¬S))
(¬1) ∧ (¬(¬S))
(¬(1 ∨ 0)) ∧ (¬(¬S))
Chosen: (¬(0 ∨ 1)) ∧ S
Options:
S ∧ (¬(0 ∨ 1))
((¬0) ∧ (¬1)) ∧ S
(¬1) ∧ S
(¬(1 ∨ 0)) ∧ S
Chosen: S ∧ (¬(0 ∨ 1))
Options:
S ∧ ((¬0) ∧ (¬1))
S ∧ (¬1)
S ∧ (¬(1 ∨ 0))
Chosen: S ∧ (¬1)
... |
boolean | null | [
18902,
25,
1819,
15,
12264,
101,
220,
16,
8,
12264,
101,
320,
49,
12264,
101,
220,
16,
595,
12264,
101,
320,
83193,
7,
35,
12264,
101,
220,
16,
4489,
3883,
512,
7,
83193,
7,
35,
12264,
101,
220,
16,
595,
12264,
101,
1819,
15,
12... | 1,511 | null | 1,491 | null | cl100k_base | 1,947 | null | null | null | Original: ((0 ∨ 1) ∨ (R ∨ 1)) ∨ (¬(D ∨ 1))
Options:
(¬(D ∨ 1)) ∨ ((0 ∨ 1) ∨ (R ∨ 1))
(0 ∨ 1) ∨ ((R ∨ 1) ∨ (¬(D ∨ 1)))
((0 ∨ 1) ∨ (R ∨ 1)) ∨ ((¬D) ∧ (¬1))
((0 ∨ 1) ∨ (R ∨ 1)) ∨ (¬1)
((0 ∨ 1) ∨ (R ∨ 1)) ∨ (¬(1 ∨ D))
((R ∨ 1) ∨ (0 ∨ 1)) ∨ (¬(D ∨ 1))
(((0 ∨ 1) ∨ R) ∨ 1) ∨ (¬(D ∨ 1))
(0 ∨ (1 ∨ (R ∨ 1))) ∨ (¬(D ∨ 1))
((0 ∨ ... |
boolean | null | [
18902,
25,
97265,
1209,
15,
75078,
650,
8,
75078,
320,
53,
12264,
101,
650,
4489,
3883,
512,
7,
83193,
7,
15,
75078,
650,
595,
12264,
101,
320,
83193,
7,
53,
12264,
101,
650,
1192,
83193,
1209,
53,
12264,
101,
650,
8,
75078,
320,
... | 1,512 | null | 189 | null | cl100k_base | 322 | null | null | null | Original: ¬((0 ∧ V) ∧ (V ∨ V))
Options:
(¬(0 ∧ V)) ∨ (¬(V ∨ V))
¬((V ∨ V) ∧ (0 ∧ V))
¬(0 ∧ (V ∧ (V ∨ V)))
¬(((0 ∧ V) ∧ V) ∨ ((0 ∧ V) ∧ V))
¬((0 ∧ V) ∧ V)
¬(0 ∧ (V ∨ V))
¬((V ∧ 0) ∧ (V ∨ V))
Chosen: ¬(0 ∧ (V ∨ V))
Options:
(¬0) ∨ (¬(V ∨ V))
¬0
¬((V ∨ V) ∧ 0)
¬((0 ∧ V) ∨ (0 ∧ V))
¬(0 ∧ V)
Chosen: ¬0
Options:
1
Chosen:... |
boolean | null | [
18902,
25,
1819,
46,
75078,
220,
16,
8,
75078,
320,
83193,
42,
595,
12264,
101,
1819,
15,
12264,
101,
735,
8,
75078,
320,
16,
75078,
220,
16,
4489,
3883,
512,
1209,
15,
12264,
101,
735,
8,
75078,
320,
16,
75078,
220,
16,
595,
1226... | 1,513 | null | 915 | null | cl100k_base | 1,416 | null | null | null | Original: ((O ∧ 1) ∧ (¬K)) ∨ ((0 ∨ K) ∧ (1 ∧ 1))
Options:
((0 ∨ K) ∧ (1 ∧ 1)) ∨ ((O ∧ 1) ∧ (¬K))
(((O ∧ 1) ∧ (¬K)) ∨ (0 ∨ K)) ∧ (((O ∧ 1) ∧ (¬K)) ∨ (1 ∧ 1))
((O ∧ 1) ∧ (¬K)) ∨ ((1 ∧ 1) ∧ (0 ∨ K))
((O ∧ 1) ∧ (¬K)) ∨ (((0 ∨ K) ∧ 1) ∧ 1)
((O ∧ 1) ∧ (¬K)) ∨ ((0 ∨ K) ∧ 1)
((O ∧ 1) ∧ (¬K)) ∨ (K ∧ (1 ∧ 1))
((O ∧ 1) ∧ (¬K)) ∨... |
boolean | null | [
18902,
25,
97265,
1209,
49,
12264,
101,
350,
8,
75078,
320,
15,
12264,
101,
432,
4489,
3883,
512,
7,
83193,
7,
49,
12264,
101,
350,
595,
12264,
101,
320,
83193,
7,
15,
12264,
101,
432,
1192,
83193,
1209,
15,
12264,
101,
432,
8,
75... | 1,514 | null | 613 | null | cl100k_base | 927 | null | null | null | Original: ¬((R ∨ T) ∧ (0 ∨ R))
Options:
(¬(R ∨ T)) ∨ (¬(0 ∨ R))
¬((0 ∨ R) ∧ (R ∨ T))
¬(((R ∨ T) ∧ 0) ∨ ((R ∨ T) ∧ R))
¬((R ∨ T) ∧ R)
¬((R ∨ T) ∧ (R ∨ 0))
¬((T ∨ R) ∧ (0 ∨ R))
Chosen: (¬(R ∨ T)) ∨ (¬(0 ∨ R))
Options:
(¬(0 ∨ R)) ∨ (¬(R ∨ T))
(¬(R ∨ T)) ∨ ((¬0) ∧ (¬R))
(¬(R ∨ T)) ∨ (¬R)
(¬(R ∨ T)) ∨ (¬(R ∨ 0))
((¬R) ∧ (... |
boolean | null | [
18902,
25,
320,
83193,
7,
49,
75078,
220,
15,
595,
12264,
101,
320,
83193,
7,
49,
75078,
432,
4489,
3883,
512,
7,
83193,
7,
49,
75078,
432,
595,
12264,
101,
320,
83193,
7,
49,
75078,
220,
15,
1192,
7,
83193,
7,
49,
75078,
220,
1... | 1,515 | null | 446 | null | cl100k_base | 660 | null | null | null | Original: (¬(R ∧ 0)) ∨ (¬(R ∧ R))
Options:
(¬(R ∧ R)) ∨ (¬(R ∧ 0))
(¬(R ∧ 0)) ∨ ((¬R) ∨ (¬R))
(¬(R ∧ 0)) ∨ (¬R)
((¬R) ∨ (¬0)) ∨ (¬(R ∧ R))
(¬0) ∨ (¬(R ∧ R))
(¬(0 ∧ R)) ∨ (¬(R ∧ R))
Chosen: (¬(R ∧ 0)) ∨ ((¬R) ∨ (¬R))
Options:
((¬R) ∨ (¬R)) ∨ (¬(R ∧ 0))
((¬(R ∧ 0)) ∨ (¬R)) ∨ (¬R)
((¬R) ∨ (¬0)) ∨ ((¬R) ∨ (¬R))
(¬0) ∨ ((... |
boolean | null | [
18902,
25,
97265,
1209,
36,
75078,
220,
16,
8,
75078,
320,
83193,
15,
4489,
3883,
512,
7,
83193,
7,
36,
75078,
220,
16,
595,
12264,
101,
320,
83193,
7,
83193,
15,
1192,
83193,
1209,
83193,
15,
8,
75078,
320,
36,
75078,
220,
16,
11... | 1,516 | null | 192 | null | cl100k_base | 321 | null | null | null | Original: ¬((E ∧ 1) ∧ (¬0))
Options:
(¬(E ∧ 1)) ∨ (¬(¬0))
¬((¬0) ∧ (E ∧ 1))
¬(E ∧ (1 ∧ (¬0)))
¬((E ∧ 1) ∧ 1)
¬(E ∧ (¬0))
¬((1 ∧ E) ∧ (¬0))
Chosen: ¬(E ∧ (¬0))
Options:
(¬E) ∨ (¬(¬0))
¬((¬0) ∧ E)
¬(E ∧ 1)
Chosen: ¬((¬0) ∧ E)
Options:
(¬(¬0)) ∨ (¬E)
¬(1 ∧ E)
Chosen: ¬(1 ∧ E)
Options:
(¬1) ∨ (¬E)
¬E
¬(E ∧ 1)
Chosen: ¬... |
boolean | null | [
18902,
25,
97265,
1209,
15,
12264,
101,
1229,
8,
75078,
320,
15,
75078,
445,
4489,
3883,
512,
7,
83193,
7,
15,
12264,
101,
1229,
595,
12264,
101,
320,
83193,
7,
15,
75078,
445,
1192,
83193,
1209,
15,
75078,
445,
8,
75078,
320,
15,
... | 1,517 | null | 533 | null | cl100k_base | 813 | null | null | null | Original: ¬((0 ∨ Q) ∧ (0 ∧ L))
Options:
(¬(0 ∨ Q)) ∨ (¬(0 ∧ L))
¬((0 ∧ L) ∧ (0 ∨ Q))
¬(((0 ∨ Q) ∧ 0) ∧ L)
¬((0 ∨ Q) ∧ 0)
¬((0 ∨ Q) ∧ (L ∧ 0))
¬(Q ∧ (0 ∧ L))
¬((Q ∨ 0) ∧ (0 ∧ L))
Chosen: ¬((0 ∧ L) ∧ (0 ∨ Q))
Options:
(¬(0 ∧ L)) ∨ (¬(0 ∨ Q))
¬(0 ∧ (L ∧ (0 ∨ Q)))
¬(((0 ∧ L) ∧ 0) ∨ ((0 ∧ L) ∧ Q))
¬((0 ∧ L) ∧ Q)
¬((0 ∧ L)... |
boolean | null | [
18902,
25,
1819,
42,
12264,
101,
386,
8,
12264,
101,
320,
83193,
15,
595,
12264,
101,
1819,
83193,
42,
8,
12264,
101,
320,
83193,
15,
4489,
3883,
512,
1209,
83193,
42,
8,
12264,
101,
320,
83193,
15,
595,
12264,
101,
1819,
42,
12264,... | 1,518 | null | 1,107 | null | cl100k_base | 1,557 | null | null | null | Original: ((K ∨ M) ∨ (¬0)) ∨ ((¬K) ∨ (¬0))
Options:
((¬K) ∨ (¬0)) ∨ ((K ∨ M) ∨ (¬0))
(((K ∨ M) ∨ (¬0)) ∨ (¬K)) ∨ (¬0)
(K ∨ M) ∨ ((¬0) ∨ ((¬K) ∨ (¬0)))
((K ∨ M) ∨ (¬0)) ∨ ((¬0) ∨ (¬K))
((K ∨ M) ∨ (¬0)) ∨ ((¬K) ∨ 1)
((¬0) ∨ (K ∨ M)) ∨ ((¬K) ∨ (¬0))
(K ∨ (M ∨ (¬0))) ∨ ((¬K) ∨ (¬0))
((K ∨ M) ∨ 1) ∨ ((¬K) ∨ (¬0))
((M ∨ K) ... |
boolean | null | [
18902,
25,
320,
83193,
7,
83193,
56,
595,
12264,
101,
320,
83193,
7,
83193,
16,
4489,
3883,
512,
7,
83193,
7,
83193,
16,
595,
12264,
101,
320,
83193,
7,
83193,
56,
1192,
7,
83193,
7,
83193,
56,
595,
12264,
101,
220,
16,
198,
7,
... | 1,519 | null | 150 | null | cl100k_base | 235 | null | null | null | Original: (¬(¬Y)) ∨ (¬(¬1))
Options:
(¬(¬1)) ∨ (¬(¬Y))
(¬(¬Y)) ∨ 1
(¬(¬Y)) ∨ (¬0)
Y ∨ (¬(¬1))
Chosen: Y ∨ (¬(¬1))
Options:
(¬(¬1)) ∨ Y
Y ∨ 1
Y ∨ (¬0)
Chosen: Y ∨ (¬0)
Options:
(¬0) ∨ Y
Y ∨ 1
Chosen: Y ∨ 1
Options:
1
1 ∨ Y
Chosen: 1 |
boolean | null | [
18902,
25,
97265,
1209,
83193,
33,
8,
12264,
101,
320,
33,
75078,
220,
15,
4489,
3883,
512,
7,
83193,
7,
83193,
33,
595,
75078,
320,
83193,
7,
33,
75078,
220,
15,
1192,
83193,
1209,
33,
75078,
220,
15,
8,
12264,
101,
320,
83193,
3... | 1,520 | null | 142 | null | cl100k_base | 232 | null | null | null | Original: ¬((¬B) ∨ (B ∧ 0))
Options:
(¬(¬B)) ∧ (¬(B ∧ 0))
¬((B ∧ 0) ∨ (¬B))
¬(((¬B) ∨ B) ∧ ((¬B) ∨ 0))
¬((¬B) ∨ 0)
¬((¬B) ∨ (0 ∧ B))
Chosen: ¬((¬B) ∨ 0)
Options:
(¬(¬B)) ∧ (¬0)
¬(¬B)
¬(0 ∨ (¬B))
Chosen: ¬(¬B)
Options:
B
Chosen: B |
boolean | null | [
18902,
25,
320,
83193,
7,
15,
12264,
101,
220,
15,
595,
75078,
1819,
16,
12264,
101,
220,
15,
8,
75078,
320,
83193,
43,
4489,
3883,
512,
1209,
16,
12264,
101,
220,
15,
8,
75078,
320,
83193,
43,
595,
75078,
320,
83193,
7,
15,
12264... | 1,521 | null | 461 | null | cl100k_base | 702 | null | null | null | Original: (¬(0 ∨ 0)) ∧ ((1 ∨ 0) ∧ (¬L))
Options:
((1 ∨ 0) ∧ (¬L)) ∧ (¬(0 ∨ 0))
((¬(0 ∨ 0)) ∧ (1 ∨ 0)) ∧ (¬L)
(¬(0 ∨ 0)) ∧ ((¬L) ∧ (1 ∨ 0))
(¬(0 ∨ 0)) ∧ (1 ∧ (¬L))
(¬(0 ∨ 0)) ∧ ((0 ∨ 1) ∧ (¬L))
((¬0) ∧ (¬0)) ∧ ((1 ∨ 0) ∧ (¬L))
(¬0) ∧ ((1 ∨ 0) ∧ (¬L))
Chosen: (¬0) ∧ ((1 ∨ 0) ∧ (¬L))
Options:
((1 ∨ 0) ∧ (¬L)) ∧ (¬0)
((¬... |
boolean | null | [
18902,
25,
97265,
1209,
52,
75078,
549,
8,
12264,
101,
320,
16,
75078,
622,
4489,
3883,
512,
7,
83193,
7,
52,
75078,
549,
595,
75078,
320,
83193,
7,
16,
75078,
622,
1192,
83193,
1209,
16,
75078,
622,
8,
12264,
101,
320,
52,
75078,
... | 1,522 | null | 443 | null | cl100k_base | 717 | null | null | null | Original: ¬((U ∧ U) ∨ (1 ∧ J))
Options:
(¬(U ∧ U)) ∧ (¬(1 ∧ J))
¬((1 ∧ J) ∨ (U ∧ U))
¬(((U ∧ U) ∨ 1) ∧ ((U ∧ U) ∨ J))
¬((U ∧ U) ∨ J)
¬((U ∧ U) ∨ (J ∧ 1))
¬(U ∨ (1 ∧ J))
Chosen: (¬(U ∧ U)) ∧ (¬(1 ∧ J))
Options:
(¬(1 ∧ J)) ∧ (¬(U ∧ U))
(¬(U ∧ U)) ∧ ((¬1) ∨ (¬J))
(¬(U ∧ U)) ∧ (¬J)
(¬(U ∧ U)) ∧ (¬(J ∧ 1))
((¬U) ∨ (¬U)) ∧... |
boolean | null | [
18902,
25,
1819,
39,
75078,
220,
15,
8,
75078,
320,
39,
12264,
101,
1229,
595,
12264,
101,
320,
83193,
7,
83193,
39,
4489,
3883,
512,
7,
83193,
7,
83193,
39,
595,
12264,
101,
1819,
39,
75078,
220,
15,
8,
75078,
320,
39,
12264,
101... | 1,523 | null | 539 | null | cl100k_base | 807 | null | null | null | Original: ((H ∧ 0) ∧ (H ∨ Q)) ∨ (¬(¬H))
Options:
(¬(¬H)) ∨ ((H ∧ 0) ∧ (H ∨ Q))
((H ∧ 0) ∧ (H ∨ Q)) ∨ H
((H ∨ Q) ∧ (H ∧ 0)) ∨ (¬(¬H))
(H ∧ (0 ∧ (H ∨ Q))) ∨ (¬(¬H))
(((H ∧ 0) ∧ H) ∨ ((H ∧ 0) ∧ Q)) ∨ (¬(¬H))
((H ∧ 0) ∧ (Q ∨ H)) ∨ (¬(¬H))
(0 ∧ (H ∨ Q)) ∨ (¬(¬H))
((0 ∧ H) ∧ (H ∨ Q)) ∨ (¬(¬H))
Chosen: (0 ∧ (H ∨ Q)) ∨ (¬(¬H)... |
boolean | null | [
18902,
25,
320,
83193,
7,
16,
12264,
101,
735,
595,
12264,
101,
1819,
41,
12264,
101,
735,
8,
75078,
320,
41,
75078,
622,
4489,
3883,
512,
1209,
41,
12264,
101,
735,
8,
75078,
320,
41,
75078,
622,
595,
12264,
101,
320,
83193,
7,
1... | 1,524 | null | 915 | null | cl100k_base | 1,407 | null | null | null | Original: (¬(1 ∨ K)) ∨ ((J ∨ K) ∧ (J ∧ J))
Options:
((J ∨ K) ∧ (J ∧ J)) ∨ (¬(1 ∨ K))
((¬(1 ∨ K)) ∨ (J ∨ K)) ∧ ((¬(1 ∨ K)) ∨ (J ∧ J))
(¬(1 ∨ K)) ∨ ((J ∧ J) ∧ (J ∨ K))
(¬(1 ∨ K)) ∨ (((J ∨ K) ∧ J) ∧ J)
(¬(1 ∨ K)) ∨ ((J ∨ K) ∧ J)
(¬(1 ∨ K)) ∨ ((K ∨ J) ∧ (J ∧ J))
((¬1) ∧ (¬K)) ∨ ((J ∨ K) ∧ (J ∧ J))
(¬1) ∨ ((J ∨ K) ∧ (J ∧ J... |
boolean | null | [
18902,
25,
97265,
1209,
15,
12264,
101,
220,
15,
8,
75078,
320,
40,
75078,
220,
16,
4489,
3883,
512,
7,
83193,
7,
15,
12264,
101,
220,
15,
595,
12264,
101,
320,
83193,
7,
40,
75078,
220,
16,
1192,
83193,
1209,
40,
75078,
220,
16,
... | 1,525 | null | 448 | null | cl100k_base | 662 | null | null | null | Original: ¬((0 ∨ 0) ∧ (I ∧ 1))
Options:
(¬(0 ∨ 0)) ∨ (¬(I ∧ 1))
¬((I ∧ 1) ∧ (0 ∨ 0))
¬(((0 ∨ 0) ∧ I) ∧ 1)
¬((0 ∨ 0) ∧ I)
¬((0 ∨ 0) ∧ (1 ∧ I))
¬(0 ∧ (I ∧ 1))
Chosen: ¬((I ∧ 1) ∧ (0 ∨ 0))
Options:
(¬(I ∧ 1)) ∨ (¬(0 ∨ 0))
¬(I ∧ (1 ∧ (0 ∨ 0)))
¬(((I ∧ 1) ∧ 0) ∨ ((I ∧ 1) ∧ 0))
¬((I ∧ 1) ∧ 0)
¬(I ∧ (0 ∨ 0))
¬((1 ∧ I) ∧ (0 ... |
boolean | null | [
18902,
25,
97265,
1209,
16,
12264,
101,
220,
15,
8,
75078,
320,
83193,
15,
4489,
3883,
512,
7,
83193,
7,
16,
12264,
101,
220,
15,
595,
12264,
101,
320,
83193,
7,
83193,
15,
1192,
83193,
1209,
83193,
15,
8,
75078,
320,
16,
12264,
1... | 1,526 | null | 146 | null | cl100k_base | 232 | null | null | null | Original: ¬((1 ∨ 0) ∧ (¬0))
Options:
(¬(1 ∨ 0)) ∨ (¬(¬0))
¬((¬0) ∧ (1 ∨ 0))
¬((1 ∨ 0) ∧ 1)
¬(1 ∧ (¬0))
¬((0 ∨ 1) ∧ (¬0))
Chosen: ¬(1 ∧ (¬0))
Options:
(¬1) ∨ (¬(¬0))
¬(¬0)
¬((¬0) ∧ 1)
¬(1 ∧ 1)
Chosen: ¬(¬0)
Options:
0
¬1
Chosen: 0 |
boolean | null | [
18902,
25,
320,
83193,
7,
16,
12264,
101,
358,
595,
75078,
1819,
83193,
16,
8,
75078,
320,
45,
12264,
101,
220,
16,
4489,
3883,
512,
1209,
83193,
16,
8,
75078,
320,
45,
12264,
101,
220,
16,
595,
75078,
320,
83193,
7,
16,
12264,
10... | 1,527 | null | 779 | null | cl100k_base | 1,173 | null | null | null | Original: (¬(1 ∨ I)) ∧ ((¬1) ∧ (N ∨ 1))
Options:
((¬1) ∧ (N ∨ 1)) ∧ (¬(1 ∨ I))
((¬(1 ∨ I)) ∧ (¬1)) ∧ (N ∨ 1)
(¬(1 ∨ I)) ∧ ((N ∨ 1) ∧ (¬1))
(¬(1 ∨ I)) ∧ (((¬1) ∧ N) ∨ ((¬1) ∧ 1))
(¬(1 ∨ I)) ∧ ((¬1) ∧ 1)
(¬(1 ∨ I)) ∧ ((¬1) ∧ (1 ∨ N))
(¬(1 ∨ I)) ∧ (0 ∧ (N ∨ 1))
((¬1) ∧ (¬I)) ∧ ((¬1) ∧ (N ∨ 1))
(¬1) ∧ ((¬1) ∧ (N ∨ 1))
(¬(... |
boolean | null | [
18902,
25,
97265,
1209,
15,
12264,
101,
220,
15,
8,
12264,
101,
320,
40,
75078,
358,
4489,
3883,
512,
7,
83193,
7,
15,
12264,
101,
220,
15,
595,
75078,
320,
83193,
7,
40,
75078,
358,
1192,
83193,
1209,
40,
75078,
358,
8,
12264,
10... | 1,528 | null | 359 | null | cl100k_base | 534 | null | null | null | Original: ¬((0 ∨ 0) ∨ (I ∧ I))
Options:
(¬(0 ∨ 0)) ∧ (¬(I ∧ I))
¬((I ∧ I) ∨ (0 ∨ 0))
¬(0 ∨ (0 ∨ (I ∧ I)))
¬(((0 ∨ 0) ∨ I) ∧ ((0 ∨ 0) ∨ I))
¬((0 ∨ 0) ∨ I)
¬(0 ∨ (I ∧ I))
Chosen: ¬((I ∧ I) ∨ (0 ∨ 0))
Options:
(¬(I ∧ I)) ∧ (¬(0 ∨ 0))
¬(((I ∧ I) ∨ 0) ∨ 0)
¬((I ∧ I) ∨ 0)
¬(I ∨ (0 ∨ 0))
Chosen: ¬(I ∨ (0 ∨ 0))
Options:
(¬I... |
boolean | null | [
18902,
25,
1819,
33,
75078,
350,
8,
12264,
101,
320,
16,
75078,
350,
595,
12264,
101,
320,
83193,
7,
51,
12264,
101,
220,
15,
4489,
3883,
512,
7,
83193,
7,
51,
12264,
101,
220,
15,
595,
12264,
101,
1819,
33,
75078,
350,
8,
12264,
... | 1,529 | null | 918 | null | cl100k_base | 1,407 | null | null | null | Original: ((B ∧ T) ∨ (1 ∧ T)) ∨ (¬(T ∨ 0))
Options:
(¬(T ∨ 0)) ∨ ((B ∧ T) ∨ (1 ∧ T))
(B ∧ T) ∨ ((1 ∧ T) ∨ (¬(T ∨ 0)))
((B ∧ T) ∨ (1 ∧ T)) ∨ ((¬T) ∧ (¬0))
((B ∧ T) ∨ (1 ∧ T)) ∨ (¬T)
((B ∧ T) ∨ (1 ∧ T)) ∨ (¬(0 ∨ T))
((1 ∧ T) ∨ (B ∧ T)) ∨ (¬(T ∨ 0))
(((B ∧ T) ∨ 1) ∧ ((B ∧ T) ∨ T)) ∨ (¬(T ∨ 0))
((B ∧ T) ∨ T) ∨ (¬(T ∨ 0))
... |
boolean | null | [
18902,
25,
1819,
32,
12264,
101,
220,
15,
8,
75078,
320,
15,
12264,
101,
362,
595,
75078,
1819,
32,
12264,
101,
220,
15,
8,
12264,
101,
320,
53,
12264,
101,
362,
4489,
3883,
512,
1209,
32,
12264,
101,
220,
15,
8,
12264,
101,
320,
... | 1,530 | null | 1,825 | null | cl100k_base | 2,691 | null | null | null | Original: ((A ∨ 0) ∧ (0 ∨ A)) ∧ ((A ∨ 0) ∨ (V ∨ A))
Options:
((A ∨ 0) ∨ (V ∨ A)) ∧ ((A ∨ 0) ∧ (0 ∨ A))
(A ∨ 0) ∧ ((0 ∨ A) ∧ ((A ∨ 0) ∨ (V ∨ A)))
(((A ∨ 0) ∧ (0 ∨ A)) ∧ (A ∨ 0)) ∨ (((A ∨ 0) ∧ (0 ∨ A)) ∧ (V ∨ A))
((A ∨ 0) ∧ (0 ∨ A)) ∧ ((V ∨ A) ∨ (A ∨ 0))
((A ∨ 0) ∧ (0 ∨ A)) ∧ (((A ∨ 0) ∨ V) ∨ A)
((A ∨ 0) ∧ (0 ∨ A)) ∧ (A... |
boolean | null | [
18902,
25,
320,
83193,
7,
36,
12264,
101,
469,
595,
12264,
101,
1819,
83193,
16,
8,
12264,
101,
320,
83193,
15,
4489,
3883,
512,
1209,
83193,
16,
8,
12264,
101,
320,
83193,
15,
595,
12264,
101,
320,
83193,
7,
36,
12264,
101,
469,
... | 1,531 | null | 379 | null | cl100k_base | 538 | null | null | null | Original: (¬(E ∨ E)) ∨ ((¬1) ∨ (¬0))
Options:
((¬1) ∨ (¬0)) ∨ (¬(E ∨ E))
((¬(E ∨ E)) ∨ (¬1)) ∨ (¬0)
(¬(E ∨ E)) ∨ ((¬0) ∨ (¬1))
(¬(E ∨ E)) ∨ ((¬1) ∨ 1)
(¬(E ∨ E)) ∨ (0 ∨ (¬0))
((¬E) ∧ (¬E)) ∨ ((¬1) ∨ (¬0))
(¬E) ∨ ((¬1) ∨ (¬0))
Chosen: (¬E) ∨ ((¬1) ∨ (¬0))
Options:
((¬1) ∨ (¬0)) ∨ (¬E)
((¬E) ∨ (¬1)) ∨ (¬0)
(¬E) ∨ ((¬0)... |
boolean | null | [
18902,
25,
320,
83193,
7,
15,
75078,
468,
595,
12264,
101,
320,
83193,
7,
33,
12264,
101,
220,
15,
4489,
3883,
512,
7,
83193,
7,
33,
12264,
101,
220,
15,
595,
12264,
101,
320,
83193,
7,
15,
75078,
468,
1192,
7,
83193,
7,
15,
750... | 1,532 | null | 424 | null | cl100k_base | 612 | null | null | null | Original: (¬(0 ∧ W)) ∨ (¬(B ∨ 0))
Options:
(¬(B ∨ 0)) ∨ (¬(0 ∧ W))
(¬(0 ∧ W)) ∨ ((¬B) ∧ (¬0))
(¬(0 ∧ W)) ∨ (¬B)
(¬(0 ∧ W)) ∨ (¬(0 ∨ B))
((¬0) ∨ (¬W)) ∨ (¬(B ∨ 0))
(¬0) ∨ (¬(B ∨ 0))
(¬(W ∧ 0)) ∨ (¬(B ∨ 0))
Chosen: (¬(B ∨ 0)) ∨ (¬(0 ∧ W))
Options:
(¬(B ∨ 0)) ∨ ((¬0) ∨ (¬W))
(¬(B ∨ 0)) ∨ (¬0)
(¬(B ∨ 0)) ∨ (¬(W ∧ 0))
((¬... |
boolean | null | [
18902,
25,
97265,
7,
83193,
7,
83193,
16,
4489,
3883,
512,
83193,
16,
198,
83193,
7,
83193,
15,
340,
1163,
8477,
25,
97265,
7,
83193,
15,
696,
3883,
512,
15,
198,
83193,
16,
198,
1163,
8477,
25,
220,
15
] | 1,533 | null | 39 | null | cl100k_base | 76 | null | null | null | Original: ¬(¬(¬1))
Options:
¬1
¬(¬0)
Chosen: ¬(¬0)
Options:
0
¬1
Chosen: 0 |
boolean | null | [
18902,
25,
97265,
1209,
15,
12264,
101,
220,
15,
8,
75078,
320,
32,
12264,
101,
393,
4489,
3883,
512,
7,
83193,
7,
15,
12264,
101,
220,
15,
595,
12264,
101,
320,
83193,
7,
32,
12264,
101,
393,
1192,
83193,
1209,
32,
12264,
101,
39... | 1,534 | null | 182 | null | cl100k_base | 292 | null | null | null | Original: ¬((0 ∨ 0) ∧ (A ∨ P))
Options:
(¬(0 ∨ 0)) ∨ (¬(A ∨ P))
¬((A ∨ P) ∧ (0 ∨ 0))
¬(((0 ∨ 0) ∧ A) ∨ ((0 ∨ 0) ∧ P))
¬((0 ∨ 0) ∧ (P ∨ A))
¬(0 ∧ (A ∨ P))
Chosen: ¬(0 ∧ (A ∨ P))
Options:
(¬0) ∨ (¬(A ∨ P))
¬0
¬((A ∨ P) ∧ 0)
¬((0 ∧ A) ∨ (0 ∧ P))
¬(0 ∧ (P ∨ A))
Chosen: ¬0
Options:
1
Chosen: 1 |
boolean | null | [
18902,
25,
320,
83193,
7,
15,
12264,
101,
1630,
595,
75078,
1819,
83193,
16,
8,
12264,
101,
320,
57,
75078,
220,
15,
4489,
3883,
512,
1209,
83193,
16,
8,
12264,
101,
320,
57,
75078,
220,
15,
595,
75078,
320,
83193,
7,
15,
12264,
1... | 1,535 | null | 1,271 | null | cl100k_base | 1,914 | null | null | null | Original: (¬(0 ∨ X)) ∧ ((¬1) ∨ (Z ∧ 0))
Options:
((¬1) ∨ (Z ∧ 0)) ∧ (¬(0 ∨ X))
((¬(0 ∨ X)) ∧ (¬1)) ∨ ((¬(0 ∨ X)) ∧ (Z ∧ 0))
(¬(0 ∨ X)) ∧ ((Z ∧ 0) ∨ (¬1))
(¬(0 ∨ X)) ∧ (((¬1) ∨ Z) ∧ ((¬1) ∨ 0))
(¬(0 ∨ X)) ∧ ((¬1) ∨ 0)
(¬(0 ∨ X)) ∧ ((¬1) ∨ (0 ∧ Z))
(¬(0 ∨ X)) ∧ (0 ∨ (Z ∧ 0))
((¬0) ∧ (¬X)) ∧ ((¬1) ∨ (Z ∧ 0))
(¬X) ∧ ((¬1)... |
boolean | null | [
18902,
25,
1819,
35,
12264,
101,
423,
8,
75078,
320,
15,
12264,
101,
432,
595,
12264,
101,
1819,
16,
75078,
423,
8,
75078,
320,
83193,
16,
4489,
3883,
512,
1209,
16,
75078,
423,
8,
75078,
320,
83193,
16,
595,
12264,
101,
1819,
35,
... | 1,536 | null | 1,615 | null | cl100k_base | 2,511 | null | null | null | Original: ((D ∨ D) ∧ (0 ∨ R)) ∨ ((1 ∧ D) ∧ (¬1))
Options:
((1 ∧ D) ∧ (¬1)) ∨ ((D ∨ D) ∧ (0 ∨ R))
(((D ∨ D) ∧ (0 ∨ R)) ∨ (1 ∧ D)) ∧ (((D ∨ D) ∧ (0 ∨ R)) ∨ (¬1))
((D ∨ D) ∧ (0 ∨ R)) ∨ ((¬1) ∧ (1 ∧ D))
((D ∨ D) ∧ (0 ∨ R)) ∨ (1 ∧ (D ∧ (¬1)))
((D ∨ D) ∧ (0 ∨ R)) ∨ ((1 ∧ D) ∧ 0)
((D ∨ D) ∧ (0 ∨ R)) ∨ (D ∧ (¬1))
((D ∨ D) ∧ (... |
boolean | null | [
18902,
25,
1819,
41,
12264,
101,
220,
16,
8,
12264,
101,
320,
15,
12264,
101,
220,
16,
595,
75078,
320,
83193,
7,
41,
75078,
622,
4489,
3883,
512,
7,
83193,
7,
41,
75078,
622,
595,
75078,
1819,
41,
12264,
101,
220,
16,
8,
12264,
... | 1,537 | null | 563 | null | cl100k_base | 834 | null | null | null | Original: ((J ∨ 1) ∨ (0 ∨ 1)) ∧ (¬(J ∧ J))
Options:
(¬(J ∧ J)) ∧ ((J ∨ 1) ∨ (0 ∨ 1))
((J ∨ 1) ∨ (0 ∨ 1)) ∧ ((¬J) ∨ (¬J))
((J ∨ 1) ∨ (0 ∨ 1)) ∧ (¬J)
((0 ∨ 1) ∨ (J ∨ 1)) ∧ (¬(J ∧ J))
(((J ∨ 1) ∨ 0) ∨ 1) ∧ (¬(J ∧ J))
(J ∨ (1 ∨ (0 ∨ 1))) ∧ (¬(J ∧ J))
((J ∨ 1) ∨ 1) ∧ (¬(J ∧ J))
((J ∨ 1) ∨ (1 ∨ 0)) ∧ (¬(J ∧ J))
(1 ∨ (0 ∨ 1)... |
boolean | null | [
18902,
25,
1819,
16,
12264,
101,
220,
15,
8,
12264,
101,
320,
15,
12264,
101,
220,
16,
595,
12264,
101,
320,
83193,
7,
49,
75078,
432,
4489,
3883,
512,
7,
83193,
7,
49,
75078,
432,
595,
12264,
101,
1819,
16,
12264,
101,
220,
15,
... | 1,538 | null | 799 | null | cl100k_base | 1,066 | null | null | null | Original: ((1 ∨ 0) ∨ (0 ∨ 1)) ∨ (¬(R ∧ R))
Options:
(¬(R ∧ R)) ∨ ((1 ∨ 0) ∨ (0 ∨ 1))
(1 ∨ 0) ∨ ((0 ∨ 1) ∨ (¬(R ∧ R)))
((1 ∨ 0) ∨ (0 ∨ 1)) ∨ ((¬R) ∨ (¬R))
((1 ∨ 0) ∨ (0 ∨ 1)) ∨ (¬R)
((0 ∨ 1) ∨ (1 ∨ 0)) ∨ (¬(R ∧ R))
(((1 ∨ 0) ∨ 0) ∨ 1) ∨ (¬(R ∧ R))
(1 ∨ (0 ∨ (0 ∨ 1))) ∨ (¬(R ∧ R))
((1 ∨ 0) ∨ 1) ∨ (¬(R ∧ R))
((1 ∨ 0) ∨ (... |
boolean | null | [
18902,
25,
320,
83193,
7,
83193,
15,
595,
12264,
101,
1819,
41,
12264,
101,
432,
8,
75078,
320,
15,
75078,
220,
16,
4489,
3883,
512,
1209,
41,
12264,
101,
432,
8,
75078,
320,
15,
75078,
220,
16,
595,
12264,
101,
320,
83193,
7,
831... | 1,539 | null | 704 | null | cl100k_base | 1,017 | null | null | null | Original: (¬(¬0)) ∨ ((J ∨ R) ∧ (0 ∧ 1))
Options:
((J ∨ R) ∧ (0 ∧ 1)) ∨ (¬(¬0))
((¬(¬0)) ∨ (J ∨ R)) ∧ ((¬(¬0)) ∨ (0 ∧ 1))
(¬(¬0)) ∨ ((0 ∧ 1) ∧ (J ∨ R))
(¬(¬0)) ∨ (((J ∨ R) ∧ 0) ∧ 1)
(¬(¬0)) ∨ ((J ∨ R) ∧ 0)
(¬(¬0)) ∨ ((J ∨ R) ∧ (1 ∧ 0))
(¬(¬0)) ∨ ((R ∨ J) ∧ (0 ∧ 1))
0 ∨ ((J ∨ R) ∧ (0 ∧ 1))
(¬1) ∨ ((J ∨ R) ∧ (0 ∧ 1))
Cho... |
boolean | null | [
18902,
25,
1819,
16,
12264,
101,
445,
8,
12264,
101,
320,
50,
75078,
220,
15,
595,
12264,
101,
320,
83193,
7,
16,
12264,
101,
220,
15,
4489,
3883,
512,
7,
83193,
7,
16,
12264,
101,
220,
15,
595,
12264,
101,
1819,
16,
12264,
101,
... | 1,540 | null | 913 | null | cl100k_base | 1,237 | null | null | null | Original: ((1 ∨ L) ∨ (S ∧ 0)) ∨ (¬(1 ∨ 0))
Options:
(¬(1 ∨ 0)) ∨ ((1 ∨ L) ∨ (S ∧ 0))
(1 ∨ L) ∨ ((S ∧ 0) ∨ (¬(1 ∨ 0)))
((1 ∨ L) ∨ (S ∧ 0)) ∨ ((¬1) ∧ (¬0))
((1 ∨ L) ∨ (S ∧ 0)) ∨ (¬1)
((1 ∨ L) ∨ (S ∧ 0)) ∨ (¬(0 ∨ 1))
((S ∧ 0) ∨ (1 ∨ L)) ∨ (¬(1 ∨ 0))
(1 ∨ (L ∨ (S ∧ 0))) ∨ (¬(1 ∨ 0))
(((1 ∨ L) ∨ S) ∧ ((1 ∨ L) ∨ 0)) ∨ (¬(1 ... |
boolean | null | [
18902,
25,
320,
83193,
7,
83193,
15,
595,
12264,
101,
1819,
83193,
15,
8,
12264,
101,
320,
83193,
42,
4489,
3883,
512,
1209,
83193,
15,
8,
12264,
101,
320,
83193,
42,
595,
12264,
101,
320,
83193,
7,
83193,
15,
1192,
1209,
83193,
7,
... | 1,541 | null | 427 | null | cl100k_base | 609 | null | null | null | Original: (¬(¬0)) ∨ ((¬0) ∨ (¬K))
Options:
((¬0) ∨ (¬K)) ∨ (¬(¬0))
((¬(¬0)) ∨ (¬0)) ∨ (¬K)
(¬(¬0)) ∨ ((¬K) ∨ (¬0))
(¬(¬0)) ∨ (1 ∨ (¬K))
0 ∨ ((¬0) ∨ (¬K))
(¬1) ∨ ((¬0) ∨ (¬K))
Chosen: 0 ∨ ((¬0) ∨ (¬K))
Options:
(¬0) ∨ (¬K)
((¬0) ∨ (¬K)) ∨ 0
(0 ∨ (¬0)) ∨ (¬K)
0 ∨ ((¬K) ∨ (¬0))
0 ∨ (1 ∨ (¬K))
Chosen: 0 ∨ ((¬K) ∨ (¬0))
... |
boolean | null | [
18902,
25,
320,
83193,
7,
83193,
44,
595,
75078,
320,
83193,
7,
16,
12264,
101,
1229,
4489,
3883,
512,
7,
83193,
7,
16,
12264,
101,
1229,
595,
75078,
320,
83193,
7,
83193,
44,
1192,
7,
83193,
7,
83193,
44,
595,
75078,
1819,
83193,
... | 1,542 | null | 165 | null | cl100k_base | 265 | null | null | null | Original: (¬(¬M)) ∧ (¬(1 ∨ Q))
Options:
(¬(1 ∨ Q)) ∧ (¬(¬M))
(¬(¬M)) ∧ ((¬1) ∧ (¬Q))
(¬(¬M)) ∧ (¬1)
(¬(¬M)) ∧ (¬(Q ∨ 1))
M ∧ (¬(1 ∨ Q))
Chosen: (¬(¬M)) ∧ (¬1)
Options:
(¬1) ∧ (¬(¬M))
(¬(¬M)) ∧ 0
M ∧ (¬1)
Chosen: (¬(¬M)) ∧ 0
Options:
0
0 ∧ (¬(¬M))
M ∧ 0
Chosen: 0 |
boolean | null | [
18902,
25,
97265,
1209,
15,
75078,
220,
15,
8,
75078,
320,
15,
12264,
101,
220,
16,
4489,
3883,
512,
7,
83193,
7,
15,
75078,
220,
15,
595,
12264,
101,
320,
83193,
7,
15,
12264,
101,
220,
16,
1192,
83193,
1209,
15,
12264,
101,
220,... | 1,543 | null | 238 | null | cl100k_base | 373 | null | null | null | Original: ¬((0 ∧ 0) ∧ (0 ∨ 1))
Options:
(¬(0 ∧ 0)) ∨ (¬(0 ∨ 1))
¬((0 ∨ 1) ∧ (0 ∧ 0))
¬(0 ∧ (0 ∧ (0 ∨ 1)))
¬(((0 ∧ 0) ∧ 0) ∨ ((0 ∧ 0) ∧ 1))
¬((0 ∧ 0) ∧ 1)
¬((0 ∧ 0) ∧ (1 ∨ 0))
¬(0 ∧ (0 ∨ 1))
Chosen: ¬((0 ∧ 0) ∧ 1)
Options:
(¬(0 ∧ 0)) ∨ (¬1)
¬(0 ∧ 0)
¬(1 ∧ (0 ∧ 0))
¬(0 ∧ (0 ∧ 1))
¬(0 ∧ 1)
Chosen: ¬(0 ∧ 1)
Options:
(¬0... |
boolean | null | [
18902,
25,
1819,
15,
75078,
220,
15,
8,
12264,
101,
320,
56,
75078,
220,
16,
595,
12264,
101,
1819,
16,
12264,
101,
220,
15,
8,
12264,
101,
320,
40,
75078,
358,
4489,
3883,
512,
1209,
16,
12264,
101,
220,
15,
8,
12264,
101,
320,
... | 1,544 | null | 1,896 | null | cl100k_base | 2,751 | null | null | null | Original: ((0 ∧ 0) ∨ (Y ∧ 1)) ∨ ((1 ∨ 0) ∨ (I ∧ I))
Options:
((1 ∨ 0) ∨ (I ∧ I)) ∨ ((0 ∧ 0) ∨ (Y ∧ 1))
(((0 ∧ 0) ∨ (Y ∧ 1)) ∨ (1 ∨ 0)) ∨ (I ∧ I)
(0 ∧ 0) ∨ ((Y ∧ 1) ∨ ((1 ∨ 0) ∨ (I ∧ I)))
((0 ∧ 0) ∨ (Y ∧ 1)) ∨ ((I ∧ I) ∨ (1 ∨ 0))
((0 ∧ 0) ∨ (Y ∧ 1)) ∨ (1 ∨ (0 ∨ (I ∧ I)))
((0 ∧ 0) ∨ (Y ∧ 1)) ∨ (((1 ∨ 0) ∨ I) ∧ ((1 ∨ 0) ... |
boolean | null | [
18902,
25,
1819,
43,
12264,
101,
362,
8,
75078,
320,
32,
75078,
220,
15,
595,
12264,
101,
320,
83193,
7,
32,
75078,
220,
15,
4489,
3883,
512,
7,
83193,
7,
32,
75078,
220,
15,
595,
12264,
101,
1819,
43,
12264,
101,
362,
8,
75078,
... | 1,545 | null | 916 | null | cl100k_base | 1,386 | null | null | null | Original: ((L ∨ A) ∧ (A ∧ 0)) ∨ (¬(A ∧ 0))
Options:
(¬(A ∧ 0)) ∨ ((L ∨ A) ∧ (A ∧ 0))
((L ∨ A) ∧ (A ∧ 0)) ∨ ((¬A) ∨ (¬0))
((L ∨ A) ∧ (A ∧ 0)) ∨ (¬0)
((L ∨ A) ∧ (A ∧ 0)) ∨ (¬(0 ∧ A))
((A ∧ 0) ∧ (L ∨ A)) ∨ (¬(A ∧ 0))
(((L ∨ A) ∧ A) ∧ 0) ∨ (¬(A ∧ 0))
((L ∨ A) ∧ 0) ∨ (¬(A ∧ 0))
((L ∨ A) ∧ (0 ∧ A)) ∨ (¬(A ∧ 0))
((A ∨ L) ∧ (... |
boolean | null | [
18902,
25,
1819,
83193,
51,
8,
12264,
101,
320,
15,
12264,
101,
220,
15,
595,
12264,
101,
1819,
16,
12264,
101,
356,
8,
12264,
101,
320,
16,
75078,
356,
4489,
3883,
512,
1209,
16,
12264,
101,
356,
8,
12264,
101,
320,
16,
75078,
35... | 1,546 | null | 2,364 | null | cl100k_base | 3,321 | null | null | null | Original: ((¬T) ∨ (0 ∨ 0)) ∨ ((1 ∨ C) ∨ (1 ∧ C))
Options:
((1 ∨ C) ∨ (1 ∧ C)) ∨ ((¬T) ∨ (0 ∨ 0))
(((¬T) ∨ (0 ∨ 0)) ∨ (1 ∨ C)) ∨ (1 ∧ C)
(¬T) ∨ ((0 ∨ 0) ∨ ((1 ∨ C) ∨ (1 ∧ C)))
((¬T) ∨ (0 ∨ 0)) ∨ ((1 ∧ C) ∨ (1 ∨ C))
((¬T) ∨ (0 ∨ 0)) ∨ (1 ∨ (C ∨ (1 ∧ C)))
((¬T) ∨ (0 ∨ 0)) ∨ (((1 ∨ C) ∨ 1) ∧ ((1 ∨ C) ∨ C))
((¬T) ∨ (0 ∨ 0)... |
boolean | null | [
18902,
25,
320,
83193,
7,
15,
75078,
1229,
595,
75078,
1819,
83193,
48,
8,
12264,
101,
320,
16,
12264,
101,
356,
4489,
3883,
512,
1209,
83193,
48,
8,
12264,
101,
320,
16,
12264,
101,
356,
595,
75078,
320,
83193,
7,
15,
75078,
1229,
... | 1,547 | null | 766 | null | cl100k_base | 1,137 | null | null | null | Original: (¬(0 ∧ Q)) ∧ ((¬Q) ∨ (1 ∨ C))
Options:
((¬Q) ∨ (1 ∨ C)) ∧ (¬(0 ∧ Q))
((¬(0 ∧ Q)) ∧ (¬Q)) ∨ ((¬(0 ∧ Q)) ∧ (1 ∨ C))
(¬(0 ∧ Q)) ∧ ((1 ∨ C) ∨ (¬Q))
(¬(0 ∧ Q)) ∧ (((¬Q) ∨ 1) ∨ C)
(¬(0 ∧ Q)) ∧ ((¬Q) ∨ 1)
(¬(0 ∧ Q)) ∧ ((¬Q) ∨ (C ∨ 1))
((¬0) ∨ (¬Q)) ∧ ((¬Q) ∨ (1 ∨ C))
(¬0) ∧ ((¬Q) ∨ (1 ∨ C))
(¬(Q ∧ 0)) ∧ ((¬Q) ∨ (1 ... |
boolean | null | [
18902,
25,
1819,
15,
75078,
220,
16,
8,
12264,
101,
320,
15,
12264,
101,
220,
15,
595,
12264,
101,
320,
83193,
7,
83193,
37,
4489,
3883,
512,
7,
83193,
7,
83193,
37,
595,
12264,
101,
1819,
15,
75078,
220,
16,
8,
12264,
101,
320,
... | 1,548 | null | 575 | null | cl100k_base | 789 | null | null | null | Original: ((0 ∧ 1) ∨ (0 ∨ 0)) ∨ (¬(¬F))
Options:
(¬(¬F)) ∨ ((0 ∧ 1) ∨ (0 ∨ 0))
(0 ∧ 1) ∨ ((0 ∨ 0) ∨ (¬(¬F)))
((0 ∧ 1) ∨ (0 ∨ 0)) ∨ F
((0 ∨ 0) ∨ (0 ∧ 1)) ∨ (¬(¬F))
(((0 ∧ 1) ∨ 0) ∨ 0) ∨ (¬(¬F))
((0 ∧ 1) ∨ 0) ∨ (¬(¬F))
(0 ∨ (0 ∨ 0)) ∨ (¬(¬F))
((1 ∧ 0) ∨ (0 ∨ 0)) ∨ (¬(¬F))
Chosen: ((0 ∧ 1) ∨ (0 ∨ 0)) ∨ F
Options:
F ∨ ((... |
boolean | null | [
18902,
25,
320,
83193,
7,
41,
12264,
101,
468,
595,
12264,
101,
1819,
41,
75078,
468,
8,
12264,
101,
320,
41,
75078,
220,
16,
4489,
3883,
512,
1209,
41,
75078,
468,
8,
12264,
101,
320,
41,
75078,
220,
16,
595,
12264,
101,
320,
831... | 1,549 | null | 840 | null | cl100k_base | 1,293 | null | null | null | Original: (¬(J ∨ W)) ∨ ((J ∧ W) ∨ (J ∧ 1))
Options:
((J ∧ W) ∨ (J ∧ 1)) ∨ (¬(J ∨ W))
((¬(J ∨ W)) ∨ (J ∧ W)) ∨ (J ∧ 1)
(¬(J ∨ W)) ∨ ((J ∧ 1) ∨ (J ∧ W))
(¬(J ∨ W)) ∨ (((J ∧ W) ∨ J) ∧ ((J ∧ W) ∨ 1))
(¬(J ∨ W)) ∨ ((J ∧ W) ∨ J)
(¬(J ∨ W)) ∨ ((J ∧ W) ∨ (1 ∧ J))
(¬(J ∨ W)) ∨ ((W ∧ J) ∨ (J ∧ 1))
((¬J) ∧ (¬W)) ∨ ((J ∧ W) ∨ (J ... |
boolean | null | [
18902,
25,
1819,
15,
75078,
220,
16,
8,
75078,
320,
83193,
15,
595,
75078,
320,
83193,
7,
16,
75078,
220,
15,
4489,
3883,
512,
7,
83193,
7,
16,
75078,
220,
15,
595,
75078,
1819,
15,
75078,
220,
16,
8,
75078,
320,
83193,
15,
1192,
... | 1,550 | null | 829 | null | cl100k_base | 1,281 | null | null | null | Original: ((0 ∧ 1) ∧ (¬0)) ∧ (¬(1 ∧ 0))
Options:
(¬(1 ∧ 0)) ∧ ((0 ∧ 1) ∧ (¬0))
(0 ∧ 1) ∧ ((¬0) ∧ (¬(1 ∧ 0)))
((0 ∧ 1) ∧ (¬0)) ∧ ((¬1) ∨ (¬0))
((0 ∧ 1) ∧ (¬0)) ∧ (¬0)
((0 ∧ 1) ∧ (¬0)) ∧ (¬(0 ∧ 1))
((¬0) ∧ (0 ∧ 1)) ∧ (¬(1 ∧ 0))
(0 ∧ (1 ∧ (¬0))) ∧ (¬(1 ∧ 0))
((0 ∧ 1) ∧ 1) ∧ (¬(1 ∧ 0))
(0 ∧ (¬0)) ∧ (¬(1 ∧ 0))
((1 ∧ 0) ∧ (... |
boolean | null | [
18902,
25,
1819,
16,
75078,
1229,
8,
12264,
101,
320,
15,
75078,
473,
595,
12264,
101,
1819,
39,
12264,
101,
1229,
8,
75078,
320,
39,
12264,
101,
1229,
4489,
3883,
512,
1209,
39,
12264,
101,
1229,
8,
75078,
320,
39,
12264,
101,
1229... | 1,551 | null | 1,297 | null | cl100k_base | 1,983 | null | null | null | Original: ((1 ∧ Q) ∨ (0 ∧ H)) ∨ ((H ∨ Q) ∧ (H ∨ Q))
Options:
((H ∨ Q) ∧ (H ∨ Q)) ∨ ((1 ∧ Q) ∨ (0 ∧ H))
(1 ∧ Q) ∨ ((0 ∧ H) ∨ ((H ∨ Q) ∧ (H ∨ Q)))
(((1 ∧ Q) ∨ (0 ∧ H)) ∨ (H ∨ Q)) ∧ (((1 ∧ Q) ∨ (0 ∧ H)) ∨ (H ∨ Q))
((1 ∧ Q) ∨ (0 ∧ H)) ∨ (((H ∨ Q) ∧ H) ∨ ((H ∨ Q) ∧ Q))
((1 ∧ Q) ∨ (0 ∧ H)) ∨ ((H ∨ Q) ∧ (Q ∨ H))
((1 ∧ Q) ∨ (... |
boolean | null | [
18902,
25,
1819,
15,
12264,
101,
362,
8,
75078,
320,
15,
12264,
101,
220,
16,
595,
12264,
101,
1819,
15,
75078,
220,
15,
8,
75078,
320,
54,
12264,
101,
362,
4489,
3883,
512,
1209,
15,
75078,
220,
15,
8,
75078,
320,
54,
12264,
101,... | 1,552 | null | 2,371 | null | cl100k_base | 3,573 | null | null | null | Original: ((0 ∨ A) ∧ (0 ∨ 1)) ∨ ((0 ∧ 0) ∧ (W ∨ A))
Options:
((0 ∧ 0) ∧ (W ∨ A)) ∨ ((0 ∨ A) ∧ (0 ∨ 1))
(((0 ∨ A) ∧ (0 ∨ 1)) ∨ (0 ∧ 0)) ∧ (((0 ∨ A) ∧ (0 ∨ 1)) ∨ (W ∨ A))
((0 ∨ A) ∧ (0 ∨ 1)) ∨ ((W ∨ A) ∧ (0 ∧ 0))
((0 ∨ A) ∧ (0 ∨ 1)) ∨ (0 ∧ (0 ∧ (W ∨ A)))
((0 ∨ A) ∧ (0 ∨ 1)) ∨ (((0 ∧ 0) ∧ W) ∨ ((0 ∧ 0) ∧ A))
((0 ∨ A) ∧ (... |
boolean | null | [
18902,
25,
1819,
83193,
16,
8,
75078,
320,
83193,
49,
595,
12264,
101,
1819,
83193,
16,
8,
75078,
320,
49,
75078,
220,
15,
4489,
3883,
512,
1209,
83193,
16,
8,
75078,
320,
49,
75078,
220,
15,
595,
12264,
101,
1819,
83193,
16,
8,
7... | 1,553 | null | 805 | null | cl100k_base | 1,230 | null | null | null | Original: ((¬1) ∧ (¬R)) ∨ ((¬1) ∧ (R ∧ 0))
Options:
((¬1) ∧ (R ∧ 0)) ∨ ((¬1) ∧ (¬R))
(((¬1) ∧ (¬R)) ∨ (¬1)) ∧ (((¬1) ∧ (¬R)) ∨ (R ∧ 0))
((¬1) ∧ (¬R)) ∨ ((R ∧ 0) ∧ (¬1))
((¬1) ∧ (¬R)) ∨ (((¬1) ∧ R) ∧ 0)
((¬1) ∧ (¬R)) ∨ ((¬1) ∧ 0)
((¬1) ∧ (¬R)) ∨ ((¬1) ∧ (0 ∧ R))
((¬1) ∧ (¬R)) ∨ (0 ∧ (R ∧ 0))
((¬R) ∧ (¬1)) ∨ ((¬1) ∧ (R ... |
boolean | null | [
18902,
25,
97265,
1209,
83193,
51,
8,
12264,
101,
320,
83193,
45,
4489,
3883,
512,
7,
83193,
7,
83193,
51,
595,
75078,
320,
83193,
7,
83193,
45,
1192,
83193,
1209,
83193,
45,
8,
12264,
101,
320,
83193,
51,
1192,
1163,
8477,
25,
9726... | 1,554 | null | 183 | null | cl100k_base | 318 | null | null | null | Original: ¬((¬T) ∨ (¬N))
Options:
(¬(¬T)) ∧ (¬(¬N))
¬((¬N) ∨ (¬T))
Chosen: ¬((¬N) ∨ (¬T))
Options:
(¬(¬N)) ∧ (¬(¬T))
Chosen: (¬(¬N)) ∧ (¬(¬T))
Options:
(¬(¬T)) ∧ (¬(¬N))
(¬(¬N)) ∧ T
N ∧ (¬(¬T))
Chosen: (¬(¬T)) ∧ (¬(¬N))
Options:
(¬(¬T)) ∧ N
T ∧ (¬(¬N))
Chosen: (¬(¬T)) ∧ N
Options:
N ∧ (¬(¬T))
T ∧ N
Chosen: T ∧ N |
boolean | null | [
18902,
25,
1819,
15,
12264,
101,
220,
15,
8,
12264,
101,
320,
16,
12264,
101,
220,
16,
595,
12264,
101,
320,
83193,
7,
56,
12264,
101,
507,
4489,
3883,
512,
7,
83193,
7,
56,
12264,
101,
507,
595,
12264,
101,
1819,
15,
12264,
101,
... | 1,555 | null | 501 | null | cl100k_base | 679 | null | null | null | Original: ((0 ∨ 0) ∨ (1 ∨ 1)) ∨ (¬(Y ∨ O))
Options:
(¬(Y ∨ O)) ∨ ((0 ∨ 0) ∨ (1 ∨ 1))
(0 ∨ 0) ∨ ((1 ∨ 1) ∨ (¬(Y ∨ O)))
((0 ∨ 0) ∨ (1 ∨ 1)) ∨ ((¬Y) ∧ (¬O))
((0 ∨ 0) ∨ (1 ∨ 1)) ∨ (¬(O ∨ Y))
((1 ∨ 1) ∨ (0 ∨ 0)) ∨ (¬(Y ∨ O))
(((0 ∨ 0) ∨ 1) ∨ 1) ∨ (¬(Y ∨ O))
(0 ∨ (0 ∨ (1 ∨ 1))) ∨ (¬(Y ∨ O))
((0 ∨ 0) ∨ 1) ∨ (¬(Y ∨ O))
(0 ∨ (... |
boolean | null | [
18902,
25,
1819,
15,
12264,
101,
622,
8,
12264,
101,
320,
83193,
55,
595,
12264,
101,
1819,
15,
12264,
101,
1630,
8,
75078,
320,
15,
75078,
622,
4489,
3883,
512,
1209,
15,
12264,
101,
1630,
8,
75078,
320,
15,
75078,
622,
595,
12264,... | 1,556 | null | 1,131 | null | cl100k_base | 1,635 | null | null | null | Original: ((0 ∨ J) ∨ (¬X)) ∨ ((0 ∨ X) ∧ (0 ∧ J))
Options:
((0 ∨ X) ∧ (0 ∧ J)) ∨ ((0 ∨ J) ∨ (¬X))
(0 ∨ J) ∨ ((¬X) ∨ ((0 ∨ X) ∧ (0 ∧ J)))
(((0 ∨ J) ∨ (¬X)) ∨ (0 ∨ X)) ∧ (((0 ∨ J) ∨ (¬X)) ∨ (0 ∧ J))
((0 ∨ J) ∨ (¬X)) ∨ ((0 ∧ J) ∧ (0 ∨ X))
((0 ∨ J) ∨ (¬X)) ∨ (((0 ∨ X) ∧ 0) ∧ J)
((0 ∨ J) ∨ (¬X)) ∨ ((0 ∨ X) ∧ 0)
((0 ∨ J) ∨ (... |
boolean | null | [
18902,
25,
1819,
15,
75078,
468,
8,
12264,
101,
320,
83193,
16,
595,
12264,
101,
1819,
83193,
54,
8,
12264,
101,
320,
83193,
15,
4489,
3883,
512,
1209,
83193,
54,
8,
12264,
101,
320,
83193,
15,
595,
12264,
101,
1819,
15,
75078,
468,... | 1,557 | null | 765 | null | cl100k_base | 1,107 | null | null | null | Original: ((0 ∧ W) ∨ (¬1)) ∨ ((¬W) ∨ (¬0))
Options:
((¬W) ∨ (¬0)) ∨ ((0 ∧ W) ∨ (¬1))
(((0 ∧ W) ∨ (¬1)) ∨ (¬W)) ∨ (¬0)
(0 ∧ W) ∨ ((¬1) ∨ ((¬W) ∨ (¬0)))
((0 ∧ W) ∨ (¬1)) ∨ ((¬0) ∨ (¬W))
((0 ∧ W) ∨ (¬1)) ∨ ((¬W) ∨ 1)
((¬1) ∨ (0 ∧ W)) ∨ ((¬W) ∨ (¬0))
((0 ∧ W) ∨ 0) ∨ ((¬W) ∨ (¬0))
(0 ∨ (¬1)) ∨ ((¬W) ∨ (¬0))
((W ∧ 0) ∨ (¬1)... |
boolean | null | [
18902,
25,
1819,
57,
12264,
101,
220,
15,
8,
75078,
320,
57,
75078,
220,
15,
595,
12264,
101,
320,
83193,
7,
15,
12264,
101,
473,
4489,
3883,
512,
7,
83193,
7,
15,
12264,
101,
473,
595,
12264,
101,
1819,
57,
12264,
101,
220,
15,
... | 1,558 | null | 701 | null | cl100k_base | 990 | null | null | null | Original: ((Z ∨ 0) ∧ (Z ∧ 0)) ∨ (¬(0 ∨ H))
Options:
(¬(0 ∨ H)) ∨ ((Z ∨ 0) ∧ (Z ∧ 0))
((Z ∨ 0) ∧ (Z ∧ 0)) ∨ ((¬0) ∧ (¬H))
((Z ∨ 0) ∧ (Z ∧ 0)) ∨ (¬H)
((Z ∨ 0) ∧ (Z ∧ 0)) ∨ (¬(H ∨ 0))
((Z ∧ 0) ∧ (Z ∨ 0)) ∨ (¬(0 ∨ H))
(((Z ∨ 0) ∧ Z) ∧ 0) ∨ (¬(0 ∨ H))
((Z ∨ 0) ∧ 0) ∨ (¬(0 ∨ H))
((Z ∨ 0) ∧ (0 ∧ Z)) ∨ (¬(0 ∨ H))
(Z ∧ (Z ∧ 0)... |
boolean | null | [
18902,
25,
320,
83193,
7,
83193,
16,
595,
75078,
1819,
47,
75078,
393,
8,
75078,
320,
47,
12264,
101,
220,
16,
4489,
3883,
512,
1209,
47,
75078,
393,
8,
75078,
320,
47,
12264,
101,
220,
16,
595,
75078,
320,
83193,
7,
83193,
16,
11... | 1,559 | null | 938 | null | cl100k_base | 1,497 | null | null | null | Original: (¬(¬1)) ∧ ((P ∧ P) ∧ (P ∨ 1))
Options:
((P ∧ P) ∧ (P ∨ 1)) ∧ (¬(¬1))
((¬(¬1)) ∧ (P ∧ P)) ∧ (P ∨ 1)
(¬(¬1)) ∧ ((P ∨ 1) ∧ (P ∧ P))
(¬(¬1)) ∧ (P ∧ (P ∧ (P ∨ 1)))
(¬(¬1)) ∧ (((P ∧ P) ∧ P) ∨ ((P ∧ P) ∧ 1))
(¬(¬1)) ∧ ((P ∧ P) ∧ 1)
(¬(¬1)) ∧ ((P ∧ P) ∧ (1 ∨ P))
(¬(¬1)) ∧ (P ∧ (P ∨ 1))
1 ∧ ((P ∧ P) ∧ (P ∨ 1))
(¬0) ∧... |
boolean | null | [
18902,
25,
97265,
1209,
15,
12264,
101,
220,
16,
8,
75078,
320,
16,
75078,
650,
4489,
3883,
512,
7,
83193,
7,
15,
12264,
101,
220,
16,
595,
12264,
101,
320,
83193,
7,
16,
75078,
650,
1192,
83193,
1209,
16,
75078,
650,
8,
75078,
32... | 1,560 | null | 295 | null | cl100k_base | 462 | null | null | null | Original: ¬((0 ∨ 1) ∧ (1 ∧ V))
Options:
(¬(0 ∨ 1)) ∨ (¬(1 ∧ V))
¬((1 ∧ V) ∧ (0 ∨ 1))
¬(((0 ∨ 1) ∧ 1) ∧ V)
¬((0 ∨ 1) ∧ V)
¬((0 ∨ 1) ∧ (V ∧ 1))
¬(1 ∧ (1 ∧ V))
¬((1 ∨ 0) ∧ (1 ∧ V))
Chosen: ¬((0 ∨ 1) ∧ V)
Options:
(¬(0 ∨ 1)) ∨ (¬V)
¬(V ∧ (0 ∨ 1))
¬(1 ∧ V)
¬((1 ∨ 0) ∧ V)
Chosen: ¬((1 ∨ 0) ∧ V)
Options:
(¬(1 ∨ 0)) ∨ (¬V)
... |
boolean | null | [
18902,
25,
320,
83193,
7,
83193,
40,
595,
12264,
101,
1819,
16,
75078,
220,
15,
8,
12264,
101,
320,
57,
75078,
1901,
4489,
3883,
512,
1209,
16,
75078,
220,
15,
8,
12264,
101,
320,
57,
75078,
1901,
595,
12264,
101,
320,
83193,
7,
8... | 1,561 | null | 508 | null | cl100k_base | 765 | null | null | null | Original: (¬(¬I)) ∨ ((1 ∧ 0) ∨ (Z ∧ Z))
Options:
((1 ∧ 0) ∨ (Z ∧ Z)) ∨ (¬(¬I))
((¬(¬I)) ∨ (1 ∧ 0)) ∨ (Z ∧ Z)
(¬(¬I)) ∨ ((Z ∧ Z) ∨ (1 ∧ 0))
(¬(¬I)) ∨ (((1 ∧ 0) ∨ Z) ∧ ((1 ∧ 0) ∨ Z))
(¬(¬I)) ∨ ((1 ∧ 0) ∨ Z)
(¬(¬I)) ∨ (0 ∨ (Z ∧ Z))
(¬(¬I)) ∨ ((0 ∧ 1) ∨ (Z ∧ Z))
I ∨ ((1 ∧ 0) ∨ (Z ∧ Z))
Chosen: (¬(¬I)) ∨ (0 ∨ (Z ∧ Z))
Opt... |
boolean | null | [
18902,
25,
320,
83193,
7,
15,
75078,
220,
15,
595,
75078,
320,
83193,
7,
15,
12264,
101,
735,
4489,
3883,
512,
7,
83193,
7,
15,
12264,
101,
735,
595,
75078,
320,
83193,
7,
15,
75078,
220,
15,
1192,
7,
83193,
7,
15,
75078,
220,
1... | 1,562 | null | 231 | null | cl100k_base | 369 | null | null | null | Original: (¬(0 ∧ 0)) ∧ (¬(0 ∨ K))
Options:
(¬(0 ∨ K)) ∧ (¬(0 ∧ 0))
(¬(0 ∧ 0)) ∧ ((¬0) ∧ (¬K))
(¬(0 ∧ 0)) ∧ (¬K)
(¬(0 ∧ 0)) ∧ (¬(K ∨ 0))
((¬0) ∨ (¬0)) ∧ (¬(0 ∨ K))
(¬0) ∧ (¬(0 ∨ K))
Chosen: (¬(0 ∧ 0)) ∧ (¬K)
Options:
(¬K) ∧ (¬(0 ∧ 0))
((¬0) ∨ (¬0)) ∧ (¬K)
(¬0) ∧ (¬K)
Chosen: (¬0) ∧ (¬K)
Options:
(¬K) ∧ (¬0)
1 ∧ (¬K)
... |
boolean | null | [
18902,
25,
97265,
7,
83193,
7,
32,
75078,
220,
16,
4489,
3883,
512,
32,
75078,
220,
16,
198,
83193,
1209,
83193,
32,
8,
12264,
101,
320,
83193,
16,
1192,
83193,
7,
83193,
32,
340,
83193,
7,
83193,
7,
16,
75078,
362,
1192,
1163,
84... | 1,563 | null | 58 | null | cl100k_base | 106 | null | null | null | Original: ¬(¬(A ∧ 1))
Options:
A ∧ 1
¬((¬A) ∨ (¬1))
¬(¬A)
¬(¬(1 ∧ A))
Chosen: ¬(¬A)
Options:
A
Chosen: A |
boolean | null | [
18902,
25,
1819,
83193,
57,
8,
75078,
320,
16,
75078,
386,
595,
75078,
1819,
44,
12264,
101,
220,
15,
8,
75078,
320,
83193,
57,
4489,
3883,
512,
1209,
44,
12264,
101,
220,
15,
8,
75078,
320,
83193,
57,
595,
75078,
1819,
83193,
57,
... | 1,564 | null | 1,125 | null | cl100k_base | 1,821 | null | null | null | Original: ((¬Z) ∧ (1 ∧ M)) ∧ ((M ∨ 0) ∧ (¬Z))
Options:
((M ∨ 0) ∧ (¬Z)) ∧ ((¬Z) ∧ (1 ∧ M))
(((¬Z) ∧ (1 ∧ M)) ∧ (M ∨ 0)) ∧ (¬Z)
(¬Z) ∧ ((1 ∧ M) ∧ ((M ∨ 0) ∧ (¬Z)))
((¬Z) ∧ (1 ∧ M)) ∧ ((¬Z) ∧ (M ∨ 0))
((¬Z) ∧ (1 ∧ M)) ∧ (M ∧ (¬Z))
((¬Z) ∧ (1 ∧ M)) ∧ ((0 ∨ M) ∧ (¬Z))
((1 ∧ M) ∧ (¬Z)) ∧ ((M ∨ 0) ∧ (¬Z))
(((¬Z) ∧ 1) ∧ M) ∧... |
boolean | null | [
18902,
25,
1819,
15,
75078,
1630,
8,
12264,
101,
320,
55,
12264,
101,
358,
595,
75078,
1819,
83193,
15,
8,
75078,
320,
40,
75078,
220,
16,
4489,
3883,
512,
1209,
83193,
15,
8,
75078,
320,
40,
75078,
220,
16,
595,
75078,
1819,
15,
... | 1,565 | null | 1,185 | null | cl100k_base | 1,830 | null | null | null | Original: ((0 ∧ X) ∨ (X ∨ I)) ∧ ((¬0) ∧ (I ∧ 1))
Options:
((¬0) ∧ (I ∧ 1)) ∧ ((0 ∧ X) ∨ (X ∨ I))
(((0 ∧ X) ∨ (X ∨ I)) ∧ (¬0)) ∧ (I ∧ 1)
((0 ∧ X) ∨ (X ∨ I)) ∧ ((I ∧ 1) ∧ (¬0))
((0 ∧ X) ∨ (X ∨ I)) ∧ (((¬0) ∧ I) ∧ 1)
((0 ∧ X) ∨ (X ∨ I)) ∧ ((¬0) ∧ I)
((0 ∧ X) ∨ (X ∨ I)) ∧ ((¬0) ∧ (1 ∧ I))
((0 ∧ X) ∨ (X ∨ I)) ∧ (1 ∧ (I ∧ 1... |
boolean | null | [
18902,
25,
1819,
83193,
16,
8,
12264,
101,
320,
50,
75078,
473,
595,
12264,
101,
1819,
50,
12264,
101,
220,
15,
8,
75078,
320,
39,
75078,
220,
16,
4489,
3883,
512,
1209,
50,
12264,
101,
220,
15,
8,
75078,
320,
39,
75078,
220,
16,
... | 1,566 | null | 1,461 | null | cl100k_base | 2,292 | null | null | null | Original: ((¬1) ∨ (S ∧ H)) ∨ ((S ∨ 0) ∧ (H ∧ 1))
Options:
((S ∨ 0) ∧ (H ∧ 1)) ∨ ((¬1) ∨ (S ∧ H))
(¬1) ∨ ((S ∧ H) ∨ ((S ∨ 0) ∧ (H ∧ 1)))
(((¬1) ∨ (S ∧ H)) ∨ (S ∨ 0)) ∧ (((¬1) ∨ (S ∧ H)) ∨ (H ∧ 1))
((¬1) ∨ (S ∧ H)) ∨ ((H ∧ 1) ∧ (S ∨ 0))
((¬1) ∨ (S ∧ H)) ∨ (((S ∨ 0) ∧ H) ∧ 1)
((¬1) ∨ (S ∧ H)) ∨ ((S ∨ 0) ∧ H)
((¬1) ∨ (S ∧... |
boolean | null | [
18902,
25,
1819,
49,
12264,
101,
622,
8,
75078,
320,
41,
12264,
101,
622,
595,
75078,
1819,
49,
12264,
101,
622,
8,
12264,
101,
320,
15,
75078,
220,
16,
4489,
3883,
512,
1209,
49,
12264,
101,
622,
8,
12264,
101,
320,
15,
75078,
22... | 1,567 | null | 1,281 | null | cl100k_base | 1,983 | null | null | null | Original: ((R ∨ J) ∧ (J ∨ J)) ∧ ((R ∨ J) ∨ (0 ∧ 1))
Options:
((R ∨ J) ∨ (0 ∧ 1)) ∧ ((R ∨ J) ∧ (J ∨ J))
(R ∨ J) ∧ ((J ∨ J) ∧ ((R ∨ J) ∨ (0 ∧ 1)))
(((R ∨ J) ∧ (J ∨ J)) ∧ (R ∨ J)) ∨ (((R ∨ J) ∧ (J ∨ J)) ∧ (0 ∧ 1))
((R ∨ J) ∧ (J ∨ J)) ∧ ((0 ∧ 1) ∨ (R ∨ J))
((R ∨ J) ∧ (J ∨ J)) ∧ (R ∨ (J ∨ (0 ∧ 1)))
((R ∨ J) ∧ (J ∨ J)) ∧ ((... |
boolean | null | [
18902,
25,
97265,
1209,
83193,
16,
8,
12264,
101,
320,
16,
12264,
101,
220,
15,
4489,
3883,
512,
7,
83193,
7,
83193,
16,
595,
75078,
320,
83193,
7,
16,
12264,
101,
220,
15,
1192,
83193,
1209,
16,
12264,
101,
220,
15,
8,
12264,
101... | 1,568 | null | 242 | null | cl100k_base | 352 | null | null | null | Original: ¬((¬1) ∨ (1 ∨ 0))
Options:
(¬(¬1)) ∧ (¬(1 ∨ 0))
¬((1 ∨ 0) ∨ (¬1))
¬(((¬1) ∨ 1) ∨ 0)
¬((¬1) ∨ 1)
¬((¬1) ∨ (0 ∨ 1))
¬(0 ∨ (1 ∨ 0))
Chosen: ¬(((¬1) ∨ 1) ∨ 0)
Options:
(¬((¬1) ∨ 1)) ∧ (¬0)
¬((¬1) ∨ 1)
¬(0 ∨ ((¬1) ∨ 1))
¬(1 ∨ 0)
¬((1 ∨ (¬1)) ∨ 0)
¬((0 ∨ 1) ∨ 0)
Chosen: ¬(1 ∨ 0)
Options:
(¬1) ∧ (¬0)
¬1
¬(0 ∨ 1)
... |
boolean | null | [
18902,
25,
320,
83193,
7,
16,
12264,
101,
220,
16,
595,
75078,
1819,
83193,
15,
8,
12264,
101,
320,
16,
75078,
650,
4489,
3883,
512,
1209,
83193,
15,
8,
12264,
101,
320,
16,
75078,
650,
595,
75078,
320,
83193,
7,
16,
12264,
101,
2... | 1,569 | null | 707 | null | cl100k_base | 1,056 | null | null | null | Original: (¬(1 ∨ 1)) ∧ ((¬0) ∨ (1 ∧ V))
Options:
((¬0) ∨ (1 ∧ V)) ∧ (¬(1 ∨ 1))
((¬(1 ∨ 1)) ∧ (¬0)) ∨ ((¬(1 ∨ 1)) ∧ (1 ∧ V))
(¬(1 ∨ 1)) ∧ ((1 ∧ V) ∨ (¬0))
(¬(1 ∨ 1)) ∧ (((¬0) ∨ 1) ∧ ((¬0) ∨ V))
(¬(1 ∨ 1)) ∧ ((¬0) ∨ V)
(¬(1 ∨ 1)) ∧ ((¬0) ∨ (V ∧ 1))
(¬(1 ∨ 1)) ∧ (1 ∨ (1 ∧ V))
((¬1) ∧ (¬1)) ∧ ((¬0) ∨ (1 ∧ V))
(¬1) ∧ ((¬0)... |
boolean | null | [
18902,
25,
320,
83193,
7,
83193,
49,
595,
12264,
101,
1819,
83193,
16,
8,
12264,
101,
320,
15,
12264,
101,
220,
16,
4489,
3883,
512,
1209,
83193,
16,
8,
12264,
101,
320,
15,
12264,
101,
220,
16,
595,
12264,
101,
320,
83193,
7,
831... | 1,570 | null | 592 | null | cl100k_base | 801 | null | null | null | Original: (¬(¬R)) ∨ ((¬1) ∨ (0 ∨ 1))
Options:
((¬1) ∨ (0 ∨ 1)) ∨ (¬(¬R))
((¬(¬R)) ∨ (¬1)) ∨ (0 ∨ 1)
(¬(¬R)) ∨ ((0 ∨ 1) ∨ (¬1))
(¬(¬R)) ∨ (((¬1) ∨ 0) ∨ 1)
(¬(¬R)) ∨ ((¬1) ∨ 1)
(¬(¬R)) ∨ ((¬1) ∨ (1 ∨ 0))
(¬(¬R)) ∨ (0 ∨ (0 ∨ 1))
R ∨ ((¬1) ∨ (0 ∨ 1))
Chosen: (¬(¬R)) ∨ ((¬1) ∨ (1 ∨ 0))
Options:
((¬1) ∨ (1 ∨ 0)) ∨ (¬(¬R))
... |
boolean | null | [
18902,
25,
97265,
1209,
15,
12264,
101,
1901,
8,
12264,
101,
320,
53,
75078,
1901,
4489,
3883,
512,
7,
83193,
7,
15,
12264,
101,
1901,
595,
75078,
320,
83193,
7,
53,
75078,
1901,
1192,
83193,
1209,
53,
75078,
1901,
8,
12264,
101,
32... | 1,571 | null | 314 | null | cl100k_base | 528 | null | null | null | Original: ¬((0 ∨ Z) ∨ (V ∧ Z))
Options:
(¬(0 ∨ Z)) ∧ (¬(V ∧ Z))
¬((V ∧ Z) ∨ (0 ∨ Z))
¬(0 ∨ (Z ∨ (V ∧ Z)))
¬(((0 ∨ Z) ∨ V) ∧ ((0 ∨ Z) ∨ Z))
¬((0 ∨ Z) ∨ (Z ∧ V))
¬(Z ∨ (V ∧ Z))
¬((Z ∨ 0) ∨ (V ∧ Z))
Chosen: ¬(Z ∨ (V ∧ Z))
Options:
(¬Z) ∧ (¬(V ∧ Z))
¬((V ∧ Z) ∨ Z)
¬((Z ∨ V) ∧ (Z ∨ Z))
¬(Z ∨ (Z ∧ V))
Chosen: ¬(Z ∨ (Z ∧ V)... |
boolean | null | [
18902,
25,
97265,
1209,
41,
12264,
101,
220,
16,
8,
75078,
320,
83193,
15,
4489,
3883,
512,
7,
83193,
7,
41,
12264,
101,
220,
16,
595,
12264,
101,
320,
83193,
7,
83193,
15,
1192,
83193,
1209,
83193,
15,
8,
75078,
320,
41,
12264,
1... | 1,572 | null | 498 | null | cl100k_base | 780 | null | null | null | Original: ¬((J ∨ 1) ∧ (¬0))
Options:
(¬(J ∨ 1)) ∨ (¬(¬0))
¬((¬0) ∧ (J ∨ 1))
¬((J ∨ 1) ∧ 1)
¬(1 ∧ (¬0))
¬((1 ∨ J) ∧ (¬0))
Chosen: ¬((1 ∨ J) ∧ (¬0))
Options:
(¬(1 ∨ J)) ∨ (¬(¬0))
¬((¬0) ∧ (1 ∨ J))
¬((1 ∨ J) ∧ 1)
¬(1 ∧ (¬0))
Chosen: ¬((¬0) ∧ (1 ∨ J))
Options:
(¬(¬0)) ∨ (¬(1 ∨ J))
¬(((¬0) ∧ 1) ∨ ((¬0) ∧ J))
¬((¬0) ∧ 1)
... |
boolean | null | [
18902,
25,
97265,
1209,
15,
75078,
220,
15,
8,
12264,
101,
320,
15,
12264,
101,
220,
15,
4489,
3883,
512,
7,
83193,
7,
15,
75078,
220,
15,
595,
75078,
320,
83193,
7,
15,
12264,
101,
220,
15,
1192,
83193,
1209,
15,
12264,
101,
220,... | 1,573 | null | 245 | null | cl100k_base | 368 | null | null | null | Original: ¬((0 ∧ 0) ∨ (0 ∨ 0))
Options:
(¬(0 ∧ 0)) ∧ (¬(0 ∨ 0))
¬((0 ∨ 0) ∨ (0 ∧ 0))
¬(((0 ∧ 0) ∨ 0) ∨ 0)
¬((0 ∧ 0) ∨ 0)
¬(0 ∨ (0 ∨ 0))
Chosen: ¬((0 ∧ 0) ∨ 0)
Options:
(¬(0 ∧ 0)) ∧ (¬0)
¬(0 ∧ 0)
¬(0 ∨ (0 ∧ 0))
¬(0 ∨ 0)
Chosen: ¬(0 ∧ 0)
Options:
(¬0) ∨ (¬0)
¬0
Chosen: (¬0) ∨ (¬0)
Options:
(¬0) ∨ 1
1 ∨ (¬0)
Chosen: (... |
boolean | null | [
18902,
25,
97265,
7,
83193,
7,
15,
75078,
473,
4489,
3883,
512,
15,
75078,
473,
198,
83193,
1209,
83193,
15,
8,
12264,
101,
320,
83193,
39,
1192,
83193,
7,
83193,
15,
340,
83193,
7,
83193,
7,
39,
75078,
220,
15,
1192,
1163,
8477,
... | 1,574 | null | 61 | null | cl100k_base | 109 | null | null | null | Original: ¬(¬(0 ∧ H))
Options:
0 ∧ H
¬((¬0) ∨ (¬H))
¬(¬0)
¬(¬(H ∧ 0))
Chosen: ¬(¬0)
Options:
0
¬1
Chosen: 0 |
boolean | null | [
18902,
25,
97265,
7,
83193,
7,
16,
75078,
220,
15,
4489,
3883,
512,
16,
75078,
220,
15,
198,
83193,
1209,
83193,
16,
8,
12264,
101,
320,
83193,
15,
1192,
83193,
7,
83193,
15,
340,
83193,
7,
83193,
7,
15,
75078,
220,
16,
1192,
1163... | 1,575 | null | 236 | null | cl100k_base | 372 | null | null | null | Original: ¬(¬(1 ∧ 0))
Options:
1 ∧ 0
¬((¬1) ∨ (¬0))
¬(¬0)
¬(¬(0 ∧ 1))
Chosen: ¬(¬(0 ∧ 1))
Options:
0 ∧ 1
¬((¬0) ∨ (¬1))
¬(¬0)
Chosen: ¬((¬0) ∨ (¬1))
Options:
(¬(¬0)) ∧ (¬(¬1))
¬((¬1) ∨ (¬0))
¬((¬0) ∨ 0)
¬(1 ∨ (¬1))
Chosen: ¬((¬1) ∨ (¬0))
Options:
(¬(¬1)) ∧ (¬(¬0))
¬((¬1) ∨ 1)
¬(0 ∨ (¬0))
Chosen: ¬((¬1) ∨ 1)
Option... |
boolean | null | [
18902,
25,
1819,
83193,
15,
8,
75078,
320,
35,
75078,
220,
15,
595,
12264,
101,
320,
83193,
7,
35,
75078,
622,
4489,
3883,
512,
7,
83193,
7,
35,
75078,
622,
595,
12264,
101,
1819,
83193,
15,
8,
75078,
320,
35,
75078,
220,
15,
1192... | 1,576 | null | 522 | null | cl100k_base | 807 | null | null | null | Original: ((¬0) ∧ (D ∧ 0)) ∨ (¬(D ∧ J))
Options:
(¬(D ∧ J)) ∨ ((¬0) ∧ (D ∧ 0))
((¬0) ∧ (D ∧ 0)) ∨ ((¬D) ∨ (¬J))
((¬0) ∧ (D ∧ 0)) ∨ (¬(J ∧ D))
((D ∧ 0) ∧ (¬0)) ∨ (¬(D ∧ J))
(((¬0) ∧ D) ∧ 0) ∨ (¬(D ∧ J))
((¬0) ∧ 0) ∨ (¬(D ∧ J))
((¬0) ∧ (0 ∧ D)) ∨ (¬(D ∧ J))
(1 ∧ (D ∧ 0)) ∨ (¬(D ∧ J))
Chosen: ((¬0) ∧ 0) ∨ (¬(D ∧ J))
Opt... |
boolean | null | [
18902,
25,
1819,
16,
75078,
220,
16,
8,
75078,
320,
83193,
44,
595,
75078,
1819,
16,
12264,
101,
386,
8,
12264,
101,
320,
83193,
15,
4489,
3883,
512,
1209,
16,
12264,
101,
386,
8,
12264,
101,
320,
83193,
15,
595,
75078,
1819,
16,
... | 1,577 | null | 1,800 | null | cl100k_base | 2,895 | null | null | null | Original: ((1 ∧ 1) ∧ (¬M)) ∧ ((1 ∨ M) ∨ (¬0))
Options:
((1 ∨ M) ∨ (¬0)) ∧ ((1 ∧ 1) ∧ (¬M))
(1 ∧ 1) ∧ ((¬M) ∧ ((1 ∨ M) ∨ (¬0)))
(((1 ∧ 1) ∧ (¬M)) ∧ (1 ∨ M)) ∨ (((1 ∧ 1) ∧ (¬M)) ∧ (¬0))
((1 ∧ 1) ∧ (¬M)) ∧ ((¬0) ∨ (1 ∨ M))
((1 ∧ 1) ∧ (¬M)) ∧ (1 ∨ (M ∨ (¬0)))
((1 ∧ 1) ∧ (¬M)) ∧ ((1 ∨ M) ∨ 1)
((1 ∧ 1) ∧ (¬M)) ∧ (1 ∨ (¬0))
... |
boolean | null | [
18902,
25,
1819,
16,
12264,
101,
328,
8,
75078,
320,
51,
12264,
101,
220,
16,
595,
75078,
1819,
83193,
15,
8,
12264,
101,
320,
83193,
50,
4489,
3883,
512,
1209,
83193,
15,
8,
12264,
101,
320,
83193,
50,
595,
75078,
1819,
16,
12264,
... | 1,578 | null | 1,082 | null | cl100k_base | 1,644 | null | null | null | Original: ((1 ∨ S) ∧ (T ∨ 1)) ∧ ((¬0) ∨ (¬S))
Options:
((¬0) ∨ (¬S)) ∧ ((1 ∨ S) ∧ (T ∨ 1))
(1 ∨ S) ∧ ((T ∨ 1) ∧ ((¬0) ∨ (¬S)))
(((1 ∨ S) ∧ (T ∨ 1)) ∧ (¬0)) ∨ (((1 ∨ S) ∧ (T ∨ 1)) ∧ (¬S))
((1 ∨ S) ∧ (T ∨ 1)) ∧ ((¬S) ∨ (¬0))
((1 ∨ S) ∧ (T ∨ 1)) ∧ (1 ∨ (¬S))
((T ∨ 1) ∧ (1 ∨ S)) ∧ ((¬0) ∨ (¬S))
(((1 ∨ S) ∧ T) ∨ ((1 ∨ S) ∧... |
boolean | null | [
18902,
25,
1819,
83193,
16,
8,
75078,
320,
48,
12264,
101,
1229,
595,
75078,
1819,
83193,
39,
8,
12264,
101,
320,
39,
75078,
220,
15,
4489,
3883,
512,
1209,
83193,
39,
8,
12264,
101,
320,
39,
75078,
220,
15,
595,
75078,
1819,
83193,... | 1,579 | null | 1,149 | null | cl100k_base | 1,776 | null | null | null | Original: ((¬1) ∧ (Q ∨ Q)) ∧ ((¬H) ∨ (H ∧ 0))
Options:
((¬H) ∨ (H ∧ 0)) ∧ ((¬1) ∧ (Q ∨ Q))
(¬1) ∧ ((Q ∨ Q) ∧ ((¬H) ∨ (H ∧ 0)))
(((¬1) ∧ (Q ∨ Q)) ∧ (¬H)) ∨ (((¬1) ∧ (Q ∨ Q)) ∧ (H ∧ 0))
((¬1) ∧ (Q ∨ Q)) ∧ ((H ∧ 0) ∨ (¬H))
((¬1) ∧ (Q ∨ Q)) ∧ (((¬H) ∨ H) ∧ ((¬H) ∨ 0))
((¬1) ∧ (Q ∨ Q)) ∧ ((¬H) ∨ 0)
((¬1) ∧ (Q ∨ Q)) ∧ ((¬H)... |
boolean | null | [
18902,
25,
1819,
15,
75078,
328,
8,
75078,
320,
50,
75078,
220,
15,
595,
75078,
1819,
50,
75078,
328,
8,
12264,
101,
320,
40,
12264,
101,
328,
4489,
3883,
512,
1209,
50,
75078,
328,
8,
12264,
101,
320,
40,
12264,
101,
328,
595,
75... | 1,580 | null | 1,552 | null | cl100k_base | 2,493 | null | null | null | Original: ((0 ∧ S) ∧ (S ∧ 0)) ∧ ((S ∧ S) ∨ (I ∨ S))
Options:
((S ∧ S) ∨ (I ∨ S)) ∧ ((0 ∧ S) ∧ (S ∧ 0))
(0 ∧ S) ∧ ((S ∧ 0) ∧ ((S ∧ S) ∨ (I ∨ S)))
(((0 ∧ S) ∧ (S ∧ 0)) ∧ (S ∧ S)) ∨ (((0 ∧ S) ∧ (S ∧ 0)) ∧ (I ∨ S))
((0 ∧ S) ∧ (S ∧ 0)) ∧ ((I ∨ S) ∨ (S ∧ S))
((0 ∧ S) ∧ (S ∧ 0)) ∧ (((S ∧ S) ∨ I) ∨ S)
((0 ∧ S) ∧ (S ∧ 0)) ∧ ((... |
boolean | null | [
18902,
25,
97265,
1209,
48,
75078,
1229,
8,
75078,
320,
83193,
16,
4489,
3883,
512,
7,
83193,
7,
48,
75078,
1229,
595,
12264,
101,
320,
83193,
7,
83193,
16,
1192,
83193,
1209,
83193,
16,
8,
75078,
320,
48,
75078,
1229,
1192,
83193,
... | 1,581 | null | 173 | null | cl100k_base | 298 | null | null | null | Original: ¬((Q ∧ Q) ∧ (¬1))
Options:
(¬(Q ∧ Q)) ∨ (¬(¬1))
¬((¬1) ∧ (Q ∧ Q))
¬(Q ∧ (Q ∧ (¬1)))
¬((Q ∧ Q) ∧ 0)
¬(Q ∧ (¬1))
Chosen: ¬((Q ∧ Q) ∧ 0)
Options:
(¬(Q ∧ Q)) ∨ (¬0)
¬0
¬(0 ∧ (Q ∧ Q))
¬(Q ∧ (Q ∧ 0))
¬(Q ∧ 0)
Chosen: ¬(Q ∧ 0)
Options:
(¬Q) ∨ (¬0)
¬0
¬(0 ∧ Q)
Chosen: ¬0
Options:
1
Chosen: 1 |
boolean | null | [
18902,
25,
320,
83193,
7,
39,
12264,
101,
473,
595,
12264,
101,
320,
83193,
7,
39,
75078,
220,
15,
4489,
3883,
512,
7,
83193,
7,
39,
75078,
220,
15,
595,
12264,
101,
320,
83193,
7,
39,
12264,
101,
473,
1192,
7,
83193,
7,
39,
122... | 1,582 | null | 258 | null | cl100k_base | 385 | null | null | null | Original: (¬(H ∨ H)) ∨ (¬(H ∧ 0))
Options:
(¬(H ∧ 0)) ∨ (¬(H ∨ H))
(¬(H ∨ H)) ∨ ((¬H) ∨ (¬0))
(¬(H ∨ H)) ∨ (¬0)
(¬(H ∨ H)) ∨ (¬(0 ∧ H))
((¬H) ∧ (¬H)) ∨ (¬(H ∧ 0))
(¬H) ∨ (¬(H ∧ 0))
Chosen: (¬H) ∨ (¬(H ∧ 0))
Options:
(¬(H ∧ 0)) ∨ (¬H)
(¬H) ∨ ((¬H) ∨ (¬0))
(¬H) ∨ (¬0)
(¬H) ∨ (¬(0 ∧ H))
Chosen: (¬H) ∨ (¬0)
Options:
(¬0... |
boolean | null | [
18902,
25,
320,
83193,
7,
16,
12264,
101,
220,
16,
595,
75078,
1819,
83193,
51,
8,
75078,
320,
15,
75078,
220,
15,
4489,
3883,
512,
1209,
83193,
51,
8,
75078,
320,
15,
75078,
220,
15,
595,
75078,
320,
83193,
7,
16,
12264,
101,
220... | 1,583 | null | 560 | null | cl100k_base | 855 | null | null | null | Original: (¬(1 ∨ 1)) ∧ ((¬T) ∧ (0 ∧ 0))
Options:
((¬T) ∧ (0 ∧ 0)) ∧ (¬(1 ∨ 1))
((¬(1 ∨ 1)) ∧ (¬T)) ∧ (0 ∧ 0)
(¬(1 ∨ 1)) ∧ ((0 ∧ 0) ∧ (¬T))
(¬(1 ∨ 1)) ∧ (((¬T) ∧ 0) ∧ 0)
(¬(1 ∨ 1)) ∧ ((¬T) ∧ 0)
((¬1) ∧ (¬1)) ∧ ((¬T) ∧ (0 ∧ 0))
(¬1) ∧ ((¬T) ∧ (0 ∧ 0))
Chosen: (¬(1 ∨ 1)) ∧ ((¬T) ∧ 0)
Options:
((¬T) ∧ 0) ∧ (¬(1 ∨ 1))
((¬... |
boolean | null | [
18902,
25,
1819,
34,
75078,
220,
15,
8,
12264,
101,
320,
35,
12264,
101,
423,
595,
75078,
320,
83193,
7,
35,
75078,
356,
4489,
3883,
512,
7,
83193,
7,
35,
75078,
356,
595,
75078,
1819,
34,
75078,
220,
15,
8,
12264,
101,
320,
35,
... | 1,584 | null | 675 | null | cl100k_base | 1,074 | null | null | null | Original: ((C ∧ 0) ∨ (D ∨ D)) ∧ (¬(D ∧ C))
Options:
(¬(D ∧ C)) ∧ ((C ∧ 0) ∨ (D ∨ D))
((C ∧ 0) ∨ (D ∨ D)) ∧ ((¬D) ∨ (¬C))
((C ∧ 0) ∨ (D ∨ D)) ∧ (¬(C ∧ D))
((D ∨ D) ∨ (C ∧ 0)) ∧ (¬(D ∧ C))
(((C ∧ 0) ∨ D) ∨ D) ∧ (¬(D ∧ C))
((C ∧ 0) ∨ D) ∧ (¬(D ∧ C))
(0 ∨ (D ∨ D)) ∧ (¬(D ∧ C))
((0 ∧ C) ∨ (D ∨ D)) ∧ (¬(D ∧ C))
Chosen: ((D ... |
boolean | null | [
18902,
25,
320,
83193,
7,
83193,
38,
595,
75078,
1819,
42,
75078,
220,
15,
8,
12264,
101,
320,
16,
75078,
480,
4489,
3883,
512,
1209,
42,
75078,
220,
15,
8,
12264,
101,
320,
16,
75078,
480,
595,
75078,
320,
83193,
7,
83193,
38,
11... | 1,585 | null | 991 | null | cl100k_base | 1,599 | null | null | null | Original: (¬(¬G)) ∧ ((K ∧ 0) ∨ (1 ∧ G))
Options:
((K ∧ 0) ∨ (1 ∧ G)) ∧ (¬(¬G))
((¬(¬G)) ∧ (K ∧ 0)) ∨ ((¬(¬G)) ∧ (1 ∧ G))
(¬(¬G)) ∧ ((1 ∧ G) ∨ (K ∧ 0))
(¬(¬G)) ∧ (((K ∧ 0) ∨ 1) ∧ ((K ∧ 0) ∨ G))
(¬(¬G)) ∧ ((K ∧ 0) ∨ G)
(¬(¬G)) ∧ ((K ∧ 0) ∨ (G ∧ 1))
(¬(¬G)) ∧ (0 ∨ (1 ∧ G))
(¬(¬G)) ∧ ((0 ∧ K) ∨ (1 ∧ G))
G ∧ ((K ∧ 0) ∨ (1 ... |
boolean | null | [
18902,
25,
1819,
83193,
16,
8,
12264,
101,
320,
16,
75078,
480,
595,
12264,
101,
1819,
15,
75078,
220,
16,
8,
12264,
101,
320,
38,
75078,
358,
4489,
3883,
512,
1209,
15,
75078,
220,
16,
8,
12264,
101,
320,
38,
75078,
358,
595,
122... | 1,586 | null | 1,495 | null | cl100k_base | 2,262 | null | null | null | Original: ((¬1) ∨ (1 ∧ G)) ∨ ((0 ∧ 1) ∨ (G ∧ I))
Options:
((0 ∧ 1) ∨ (G ∧ I)) ∨ ((¬1) ∨ (1 ∧ G))
(((¬1) ∨ (1 ∧ G)) ∨ (0 ∧ 1)) ∨ (G ∧ I)
(¬1) ∨ ((1 ∧ G) ∨ ((0 ∧ 1) ∨ (G ∧ I)))
((¬1) ∨ (1 ∧ G)) ∨ ((G ∧ I) ∨ (0 ∧ 1))
((¬1) ∨ (1 ∧ G)) ∨ (((0 ∧ 1) ∨ G) ∧ ((0 ∧ 1) ∨ I))
((¬1) ∨ (1 ∧ G)) ∨ ((0 ∧ 1) ∨ (I ∧ G))
((¬1) ∨ (1 ∧ G)... |
boolean | null | [
18902,
25,
1819,
83193,
40,
8,
75078,
320,
55,
12264,
101,
220,
15,
595,
75078,
1819,
40,
12264,
101,
358,
8,
75078,
320,
83193,
15,
4489,
3883,
512,
1209,
40,
12264,
101,
358,
8,
75078,
320,
83193,
15,
595,
75078,
1819,
83193,
40,
... | 1,587 | null | 850 | null | cl100k_base | 1,386 | null | null | null | Original: ((¬I) ∧ (X ∨ 0)) ∧ ((I ∨ I) ∧ (¬0))
Options:
((I ∨ I) ∧ (¬0)) ∧ ((¬I) ∧ (X ∨ 0))
(((¬I) ∧ (X ∨ 0)) ∧ (I ∨ I)) ∧ (¬0)
(¬I) ∧ ((X ∨ 0) ∧ ((I ∨ I) ∧ (¬0)))
((¬I) ∧ (X ∨ 0)) ∧ ((¬0) ∧ (I ∨ I))
((¬I) ∧ (X ∨ 0)) ∧ ((I ∨ I) ∧ 1)
((¬I) ∧ (X ∨ 0)) ∧ (I ∧ (¬0))
((X ∨ 0) ∧ (¬I)) ∧ ((I ∨ I) ∧ (¬0))
(((¬I) ∧ X) ∨ ((¬I) ∧... |
boolean | null | [
18902,
25,
97265,
7,
83193,
7,
83193,
16,
4489,
3883,
512,
83193,
16,
198,
83193,
7,
83193,
15,
340,
1163,
8477,
25,
97265,
16,
271,
3883,
512,
15,
198,
1163,
8477,
25,
220,
15
] | 1,588 | null | 34 | null | cl100k_base | 70 | null | null | null | Original: ¬(¬(¬1))
Options:
¬1
¬(¬0)
Chosen: ¬1
Options:
0
Chosen: 0 |
boolean | null | [
18902,
25,
97265,
1209,
83193,
52,
8,
12264,
101,
320,
15,
12264,
101,
220,
16,
4489,
3883,
512,
7,
83193,
7,
83193,
52,
595,
75078,
320,
83193,
7,
15,
12264,
101,
220,
16,
1192,
83193,
1209,
15,
12264,
101,
220,
16,
8,
12264,
101... | 1,589 | null | 360 | null | cl100k_base | 567 | null | null | null | Original: ¬((¬U) ∨ (0 ∨ 1))
Options:
(¬(¬U)) ∧ (¬(0 ∨ 1))
¬((0 ∨ 1) ∨ (¬U))
¬(((¬U) ∨ 0) ∨ 1)
¬((¬U) ∨ 1)
¬((¬U) ∨ (1 ∨ 0))
Chosen: (¬(¬U)) ∧ (¬(0 ∨ 1))
Options:
(¬(0 ∨ 1)) ∧ (¬(¬U))
(¬(¬U)) ∧ ((¬0) ∧ (¬1))
(¬(¬U)) ∧ (¬1)
(¬(¬U)) ∧ (¬(1 ∨ 0))
U ∧ (¬(0 ∨ 1))
Chosen: U ∧ (¬(0 ∨ 1))
Options:
(¬(0 ∨ 1)) ∧ U
U ∧ ((¬0) ∧ ... |
boolean | null | [
18902,
25,
320,
83193,
7,
37,
12264,
101,
220,
15,
595,
75078,
1819,
15,
12264,
101,
220,
15,
8,
75078,
320,
36,
12264,
101,
220,
15,
4489,
3883,
512,
1209,
15,
12264,
101,
220,
15,
8,
75078,
320,
36,
12264,
101,
220,
15,
595,
7... | 1,590 | null | 609 | null | cl100k_base | 900 | null | null | null | Original: (¬(F ∨ 0)) ∧ ((0 ∨ 0) ∧ (E ∨ 0))
Options:
((0 ∨ 0) ∧ (E ∨ 0)) ∧ (¬(F ∨ 0))
((¬(F ∨ 0)) ∧ (0 ∨ 0)) ∧ (E ∨ 0)
(¬(F ∨ 0)) ∧ ((E ∨ 0) ∧ (0 ∨ 0))
(¬(F ∨ 0)) ∧ (((0 ∨ 0) ∧ E) ∨ ((0 ∨ 0) ∧ 0))
(¬(F ∨ 0)) ∧ ((0 ∨ 0) ∧ E)
(¬(F ∨ 0)) ∧ ((0 ∨ 0) ∧ (0 ∨ E))
(¬(F ∨ 0)) ∧ (0 ∧ (E ∨ 0))
((¬F) ∧ (¬0)) ∧ ((0 ∨ 0) ∧ (E ∨ 0))
... |
boolean | null | [
18902,
25,
97265,
1209,
83193,
45,
8,
75078,
320,
16,
12264,
101,
220,
16,
4489,
3883,
512,
7,
83193,
7,
83193,
45,
595,
12264,
101,
320,
83193,
7,
16,
12264,
101,
220,
16,
1192,
83193,
1209,
16,
12264,
101,
220,
16,
8,
75078,
320... | 1,591 | null | 130 | null | cl100k_base | 214 | null | null | null | Original: ¬((¬N) ∧ (1 ∨ 1))
Options:
(¬(¬N)) ∨ (¬(1 ∨ 1))
¬((1 ∨ 1) ∧ (¬N))
¬(((¬N) ∧ 1) ∨ ((¬N) ∧ 1))
¬((¬N) ∧ 1)
Chosen: ¬((¬N) ∧ 1)
Options:
(¬(¬N)) ∨ (¬1)
¬(¬N)
¬(1 ∧ (¬N))
Chosen: ¬(¬N)
Options:
N
Chosen: N |
boolean | null | [
18902,
25,
1819,
16,
12264,
101,
473,
8,
12264,
101,
320,
48,
12264,
101,
220,
16,
595,
12264,
101,
1819,
39,
12264,
101,
220,
16,
8,
12264,
101,
320,
39,
12264,
101,
220,
16,
4489,
3883,
512,
1209,
39,
12264,
101,
220,
16,
8,
1... | 1,592 | null | 2,577 | null | cl100k_base | 3,441 | null | null | null | Original: ((1 ∨ H) ∨ (Q ∨ 1)) ∨ ((H ∨ 1) ∨ (H ∨ 1))
Options:
((H ∨ 1) ∨ (H ∨ 1)) ∨ ((1 ∨ H) ∨ (Q ∨ 1))
(((1 ∨ H) ∨ (Q ∨ 1)) ∨ (H ∨ 1)) ∨ (H ∨ 1)
(1 ∨ H) ∨ ((Q ∨ 1) ∨ ((H ∨ 1) ∨ (H ∨ 1)))
((1 ∨ H) ∨ (Q ∨ 1)) ∨ (((H ∨ 1) ∨ H) ∨ 1)
((1 ∨ H) ∨ (Q ∨ 1)) ∨ (H ∨ (1 ∨ (H ∨ 1)))
((1 ∨ H) ∨ (Q ∨ 1)) ∨ ((H ∨ 1) ∨ 1)
((1 ∨ H) ∨ (... |
boolean | null | [
18902,
25,
97265,
1209,
83193,
15,
8,
75078,
320,
15,
12264,
101,
445,
4489,
3883,
512,
7,
83193,
7,
83193,
15,
595,
12264,
101,
320,
83193,
7,
15,
12264,
101,
445,
1192,
83193,
1209,
15,
12264,
101,
445,
8,
75078,
320,
83193,
15,
... | 1,593 | null | 208 | null | cl100k_base | 330 | null | null | null | Original: ¬((¬0) ∧ (0 ∨ L))
Options:
(¬(¬0)) ∨ (¬(0 ∨ L))
¬((0 ∨ L) ∧ (¬0))
¬(((¬0) ∧ 0) ∨ ((¬0) ∧ L))
¬((¬0) ∧ L)
¬((¬0) ∧ (L ∨ 0))
¬(1 ∧ (0 ∨ L))
Chosen: ¬(1 ∧ (0 ∨ L))
Options:
(¬1) ∨ (¬(0 ∨ L))
¬(0 ∨ L)
¬((0 ∨ L) ∧ 1)
¬((1 ∧ 0) ∨ (1 ∧ L))
¬(1 ∧ L)
¬(1 ∧ (L ∨ 0))
Chosen: ¬(0 ∨ L)
Options:
(¬0) ∧ (¬L)
¬L
¬(L ∨ 0)
... |
boolean | null | [
18902,
25,
320,
83193,
7,
83193,
39,
595,
75078,
1819,
83193,
39,
8,
75078,
320,
39,
75078,
220,
16,
4489,
3883,
512,
1209,
83193,
39,
8,
75078,
320,
39,
75078,
220,
16,
595,
75078,
320,
83193,
7,
83193,
39,
1192,
1209,
83193,
7,
... | 1,594 | null | 573 | null | cl100k_base | 928 | null | null | null | Original: (¬(¬H)) ∧ ((¬H) ∧ (H ∧ 1))
Options:
((¬H) ∧ (H ∧ 1)) ∧ (¬(¬H))
((¬(¬H)) ∧ (¬H)) ∧ (H ∧ 1)
(¬(¬H)) ∧ ((H ∧ 1) ∧ (¬H))
(¬(¬H)) ∧ (((¬H) ∧ H) ∧ 1)
(¬(¬H)) ∧ ((¬H) ∧ H)
(¬(¬H)) ∧ ((¬H) ∧ (1 ∧ H))
H ∧ ((¬H) ∧ (H ∧ 1))
Chosen: ((¬(¬H)) ∧ (¬H)) ∧ (H ∧ 1)
Options:
(H ∧ 1) ∧ ((¬(¬H)) ∧ (¬H))
(((¬(¬H)) ∧ (¬H)) ∧ H) ∧... |
boolean | null | [
18902,
25,
97265,
1209,
16,
75078,
452,
8,
75078,
320,
16,
12264,
101,
220,
16,
4489,
3883,
512,
7,
83193,
7,
16,
75078,
452,
595,
12264,
101,
320,
83193,
7,
16,
12264,
101,
220,
16,
1192,
83193,
1209,
16,
12264,
101,
220,
16,
8,
... | 1,595 | null | 221 | null | cl100k_base | 348 | null | null | null | Original: ¬((1 ∧ N) ∧ (1 ∨ 1))
Options:
(¬(1 ∧ N)) ∨ (¬(1 ∨ 1))
¬((1 ∨ 1) ∧ (1 ∧ N))
¬(1 ∧ (N ∧ (1 ∨ 1)))
¬(((1 ∧ N) ∧ 1) ∨ ((1 ∧ N) ∧ 1))
¬((1 ∧ N) ∧ 1)
¬(N ∧ (1 ∨ 1))
¬((N ∧ 1) ∧ (1 ∨ 1))
Chosen: ¬(N ∧ (1 ∨ 1))
Options:
(¬N) ∨ (¬(1 ∨ 1))
¬((1 ∨ 1) ∧ N)
¬((N ∧ 1) ∨ (N ∧ 1))
¬(N ∧ 1)
Chosen: ¬(N ∧ 1)
Options:
(¬N) ∨... |
boolean | null | [
18902,
25,
1819,
15,
12264,
101,
220,
15,
8,
12264,
101,
320,
83193,
16,
595,
75078,
1819,
83193,
32,
8,
12264,
101,
320,
32,
75078,
356,
4489,
3883,
512,
1209,
83193,
32,
8,
12264,
101,
320,
32,
75078,
356,
595,
75078,
1819,
15,
... | 1,596 | null | 1,021 | null | cl100k_base | 1,542 | null | null | null | Original: ((0 ∨ 0) ∨ (¬1)) ∧ ((¬A) ∨ (A ∧ C))
Options:
((¬A) ∨ (A ∧ C)) ∧ ((0 ∨ 0) ∨ (¬1))
(((0 ∨ 0) ∨ (¬1)) ∧ (¬A)) ∨ (((0 ∨ 0) ∨ (¬1)) ∧ (A ∧ C))
((0 ∨ 0) ∨ (¬1)) ∧ ((A ∧ C) ∨ (¬A))
((0 ∨ 0) ∨ (¬1)) ∧ (((¬A) ∨ A) ∧ ((¬A) ∨ C))
((0 ∨ 0) ∨ (¬1)) ∧ ((¬A) ∨ (C ∧ A))
((¬1) ∨ (0 ∨ 0)) ∧ ((¬A) ∨ (A ∧ C))
(0 ∨ (0 ∨ (¬1))) ∧... |
boolean | null | [
18902,
25,
97265,
1209,
83193,
40,
8,
75078,
320,
16,
12264,
101,
622,
4489,
3883,
512,
7,
83193,
7,
83193,
40,
595,
12264,
101,
320,
83193,
7,
16,
12264,
101,
622,
1192,
83193,
1209,
16,
12264,
101,
622,
8,
75078,
320,
83193,
40,
... | 1,597 | null | 289 | null | cl100k_base | 447 | null | null | null | Original: ¬((¬I) ∧ (1 ∨ J))
Options:
(¬(¬I)) ∨ (¬(1 ∨ J))
¬((1 ∨ J) ∧ (¬I))
¬(((¬I) ∧ 1) ∨ ((¬I) ∧ J))
¬((¬I) ∧ 1)
¬((¬I) ∧ (J ∨ 1))
Chosen: (¬(¬I)) ∨ (¬(1 ∨ J))
Options:
(¬(1 ∨ J)) ∨ (¬(¬I))
(¬(¬I)) ∨ ((¬1) ∧ (¬J))
(¬(¬I)) ∨ (¬1)
(¬(¬I)) ∨ (¬(J ∨ 1))
I ∨ (¬(1 ∨ J))
Chosen: I ∨ (¬(1 ∨ J))
Options:
(¬(1 ∨ J)) ∨ I
I ∨... |
boolean | null | [
18902,
25,
1819,
16,
12264,
101,
426,
8,
12264,
101,
320,
15,
75078,
220,
15,
595,
75078,
320,
83193,
7,
15,
75078,
356,
4489,
3883,
512,
7,
83193,
7,
15,
75078,
356,
595,
75078,
1819,
16,
12264,
101,
426,
8,
12264,
101,
320,
15,
... | 1,598 | null | 533 | null | cl100k_base | 828 | null | null | null | Original: ((1 ∨ B) ∨ (0 ∧ 0)) ∧ (¬(0 ∧ C))
Options:
(¬(0 ∧ C)) ∧ ((1 ∨ B) ∨ (0 ∧ 0))
((1 ∨ B) ∨ (0 ∧ 0)) ∧ ((¬0) ∨ (¬C))
((1 ∨ B) ∨ (0 ∧ 0)) ∧ (¬0)
((1 ∨ B) ∨ (0 ∧ 0)) ∧ (¬(C ∧ 0))
((0 ∧ 0) ∨ (1 ∨ B)) ∧ (¬(0 ∧ C))
(1 ∨ (B ∨ (0 ∧ 0))) ∧ (¬(0 ∧ C))
(((1 ∨ B) ∨ 0) ∧ ((1 ∨ B) ∨ 0)) ∧ (¬(0 ∧ C))
((1 ∨ B) ∨ 0) ∧ (¬(0 ∧ C))
... |
boolean | null | [
18902,
25,
1819,
83193,
38,
8,
12264,
101,
320,
15,
12264,
101,
220,
15,
595,
75078,
1819,
38,
12264,
101,
622,
8,
12264,
101,
320,
83193,
41,
4489,
3883,
512,
1209,
38,
12264,
101,
622,
8,
12264,
101,
320,
83193,
41,
595,
75078,
... | 1,599 | null | 843 | null | cl100k_base | 1,263 | null | null | null | Original: ((¬G) ∨ (0 ∨ 0)) ∧ ((G ∨ J) ∨ (¬J))
Options:
((G ∨ J) ∨ (¬J)) ∧ ((¬G) ∨ (0 ∨ 0))
(((¬G) ∨ (0 ∨ 0)) ∧ (G ∨ J)) ∨ (((¬G) ∨ (0 ∨ 0)) ∧ (¬J))
((¬G) ∨ (0 ∨ 0)) ∧ ((¬J) ∨ (G ∨ J))
((¬G) ∨ (0 ∨ 0)) ∧ (G ∨ (J ∨ (¬J)))
((¬G) ∨ (0 ∨ 0)) ∧ ((J ∨ G) ∨ (¬J))
((0 ∨ 0) ∨ (¬G)) ∧ ((G ∨ J) ∨ (¬J))
(((¬G) ∨ 0) ∨ 0) ∧ ((G ∨ J)... |
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