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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
step_by_step_arithmetic | null | [
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Borrow: 1
31
18
- --
03
03
Borrow: 0
31
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- --
13
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|
step_by_step_arithmetic | null | [
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220... | 1,401 | null | 71 | null | cl100k_base | 130 | null | null | subtraction | 763 - 78
Borrow: 1
763
078
- ---
005
005
Borrow: 1
763
078
- ---
085
085
Borrow: 0
763
078
- ---
685
685
|
step_by_step_arithmetic | null | [
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... | 1,402 | null | 218 | null | cl100k_base | 436 | null | null | subtraction | 1190368 - 9323
Borrow: 0
1190368
0009323
- -------
0000005
0000005
Borrow: 0
1190368
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- -------
0000045
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Borrow: 0
1190368
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- -------
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0000045
Borrow: 1
1190368
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- -------
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0001045
Borrow: 0
1190368
0009323
- -------
0081045
0081045
Bor... |
step_by_step_arithmetic | null | [
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40614,
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220,... | 1,403 | null | 49 | null | cl100k_base | 79 | null | null | subtraction | 13 - 12
Borrow: 0
13
12
- --
01
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Borrow: 0
13
12
- --
01
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|
step_by_step_arithmetic | null | [
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5894,
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198,
220,
220,... | 1,404 | null | 114 | null | cl100k_base | 191 | null | null | subtraction | 1301 - 40
Borrow: 0
1301
0040
- ----
0001
0001
Borrow: 1
1301
0040
- ----
0061
0061
Borrow: 0
1301
0040
- ----
0261
0261
Borrow: 0
1301
0040
- ----
1261
1261
|
step_by_step_arithmetic | null | [
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220,
... | 1,405 | null | 136 | null | cl100k_base | 262 | null | null | subtraction | 61852 - 14
Borrow: 1
61852
00014
- -----
00008
00008
Borrow: 0
61852
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- -----
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00038
Borrow: 0
61852
00014
- -----
00838
00838
Borrow: 0
61852
00014
- -----
01838
01838
Borrow: 0
61852
00014
- -----
61838
61838
|
step_by_step_arithmetic | null | [
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17168,
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198,
220,
... | 1,406 | null | 114 | null | cl100k_base | 191 | null | null | subtraction | 2940 - 71
Borrow: 1
2940
0071
- ----
0009
0009
Borrow: 1
2940
0071
- ----
0069
0069
Borrow: 0
2940
0071
- ----
0869
0869
Borrow: 0
2940
0071
- ----
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2869
|
step_by_step_arithmetic | null | [
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11908,
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220,
220,
11531,
198,
12,
55023,
220,... | 1,407 | null | 71 | null | cl100k_base | 130 | null | null | subtraction | 173 - 12
Borrow: 0
173
012
- ---
001
001
Borrow: 0
173
012
- ---
061
061
Borrow: 0
173
012
- ---
161
161
|
step_by_step_arithmetic | null | [
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5894,
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198,
220,
220,
... | 1,408 | null | 114 | null | cl100k_base | 191 | null | null | subtraction | 1306 - 15
Borrow: 0
1306
0015
- ----
0001
0001
Borrow: 1
1306
0015
- ----
0091
0091
Borrow: 0
1306
0015
- ----
0291
0291
Borrow: 0
1306
0015
- ----
1291
1291
|
step_by_step_arithmetic | null | [
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17609,
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220,
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198,
12,
55023,
22... | 1,409 | null | 71 | null | cl100k_base | 131 | null | null | subtraction | 337 - 164
Borrow: 0
337
164
- ---
003
003
Borrow: 1
337
164
- ---
073
073
Borrow: 0
337
164
- ---
173
173
|
step_by_step_arithmetic | null | [
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1032,
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7924,
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15741,
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220,
220,
16368,
198,
12,
55023,
2... | 1,410 | null | 71 | null | cl100k_base | 130 | null | null | subtraction | 272 - 13
Borrow: 1
272
013
- ---
009
009
Borrow: 0
272
013
- ---
059
059
Borrow: 0
272
013
- ---
259
259
|
step_by_step_arithmetic | null | [
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1432,
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7924,
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10288,
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220,
220,
20063,
198,
12,
55023,
220... | 1,411 | null | 71 | null | cl100k_base | 130 | null | null | subtraction | 147 - 23
Borrow: 0
147
023
- ---
004
004
Borrow: 0
147
023
- ---
024
024
Borrow: 0
147
023
- ---
124
124
|
step_by_step_arithmetic | null | [
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220,
220,
15726,
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198,
220,
22... | 1,412 | null | 114 | null | cl100k_base | 191 | null | null | subtraction | 3232 - 25
Borrow: 1
3232
0025
- ----
0007
0007
Borrow: 0
3232
0025
- ----
0007
0007
Borrow: 0
3232
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- ----
0207
0207
Borrow: 0
3232
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- ----
3207
3207
|
step_by_step_arithmetic | null | [
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198,
220,
2... | 1,413 | null | 114 | null | cl100k_base | 191 | null | null | subtraction | 8875 - 33
Borrow: 0
8875
0033
- ----
0002
0002
Borrow: 0
8875
0033
- ----
0042
0042
Borrow: 0
8875
0033
- ----
0842
0842
Borrow: 0
8875
0033
- ----
8842
8842
|
step_by_step_arithmetic | null | [
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220,
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7924,
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220,
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198,
220,
220,
11286,
2075,
198,
220... | 1,414 | null | 136 | null | cl100k_base | 263 | null | null | subtraction | 15875 - 151
Borrow: 0
15875
00151
- -----
00004
00004
Borrow: 0
15875
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- -----
00024
00024
Borrow: 0
15875
00151
- -----
00724
00724
Borrow: 0
15875
00151
- -----
05724
05724
Borrow: 0
15875
00151
- -----
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15724
|
step_by_step_arithmetic | null | [
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220,
220,
... | 1,415 | null | 49 | null | cl100k_base | 79 | null | null | subtraction | 20 - 19
Borrow: 1
20
19
- --
01
01
Borrow: 0
20
19
- --
01
01
|
step_by_step_arithmetic | null | [
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220,
15,
198,
220,
220,
14590,
1313,
198,... | 1,416 | null | 137 | null | cl100k_base | 264 | null | null | subtraction | 23722 - 1914
Borrow: 1
23722
01914
- -----
00008
00008
Borrow: 0
23722
01914
- -----
00008
00008
Borrow: 1
23722
01914
- -----
00808
00808
Borrow: 0
23722
01914
- -----
01808
01808
Borrow: 0
23722
01914
- -----
21808
21808
|
step_by_step_arithmetic | null | [
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220,
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508,
198,
12,
40614,
220,
220,... | 1,417 | null | 49 | null | cl100k_base | 79 | null | null | subtraction | 28 - 20
Borrow: 0
28
20
- --
08
08
Borrow: 0
28
20
- --
08
08
|
step_by_step_arithmetic | null | [
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5245,
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... | 1,418 | null | 71 | null | cl100k_base | 131 | null | null | subtraction | 242 - 180
Borrow: 0
242
180
- ---
002
002
Borrow: 1
242
180
- ---
062
062
Borrow: 0
242
180
- ---
062
062
|
step_by_step_arithmetic | null | [
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975,
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12,
40614,
220,
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Borrow: 1
23
14
- --
09
09
Borrow: 0
23
14
- --
09
09
|
step_by_step_arithmetic | null | [
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198,
220,
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25399,
6843,
198... | 1,420 | null | 168 | null | cl100k_base | 344 | null | null | subtraction | 886360 - 136
Borrow: 1
886360
000136
- ------
000004
000004
Borrow: 0
886360
000136
- ------
000024
000024
Borrow: 0
886360
000136
- ------
000224
000224
Borrow: 0
886360
000136
- ------
006224
006224
Borrow: 0
886360
000136
- ------
086224
086224
Borrow: 0
886360
000136
- ... |
step_by_step_arithmetic | null | [
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11242,
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220,
2... | 1,421 | null | 114 | null | cl100k_base | 191 | null | null | subtraction | 1773 - 28
Borrow: 1
1773
0028
- ----
0005
0005
Borrow: 0
1773
0028
- ----
0045
0045
Borrow: 0
1773
0028
- ----
0745
0745
Borrow: 0
1773
0028
- ----
1745
1745
|
step_by_step_arithmetic | null | [
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220,
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Borrow: 1
401871051
000000588
- ---------
000000003
000000003
Borrow: 1
401871051
000000588
- ---------
000000063
000000063
Borrow: 1
401871051
000000588
- ---------
000000463
000000463
Borrow: 0
401871051
000000588
- ---------
000000463
000000463
Borrow: 0
401871051
... |
step_by_step_arithmetic | null | [
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220,
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17592,
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198,
220,
22... | 1,423 | null | 114 | null | cl100k_base | 191 | null | null | subtraction | 3184 - 14
Borrow: 0
3184
0014
- ----
0000
0000
Borrow: 0
3184
0014
- ----
0070
0070
Borrow: 0
3184
0014
- ----
0170
0170
Borrow: 0
3184
0014
- ----
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3170
|
step_by_step_arithmetic | null | [
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198,
220,
22... | 1,424 | null | 136 | null | cl100k_base | 262 | null | null | subtraction | 37300 - 15
Borrow: 1
37300
00015
- -----
00005
00005
Borrow: 1
37300
00015
- -----
00085
00085
Borrow: 0
37300
00015
- -----
00285
00285
Borrow: 0
37300
00015
- -----
07285
07285
Borrow: 0
37300
00015
- -----
37285
37285
|
step_by_step_arithmetic | null | [
975,
482,
220,
1032,
1432,
33,
7924,
25,
220,
15,
198,
220,
220,
975,
198,
220,
220,
1032,
198,
12,
40614,
220,
220,
1721,
271,
1721,
271,
33,
7924,
25,
220,
15,
198,
220,
220,
975,
198,
220,
220,
1032,
198,
12,
40614,
220,
220,... | 1,425 | null | 49 | null | cl100k_base | 79 | null | null | subtraction | 14 - 13
Borrow: 0
14
13
- --
01
01
Borrow: 0
14
13
- --
01
01
|
step_by_step_arithmetic | null | [
18625,
7467,
482,
220,
843,
1432,
33,
7924,
25,
220,
16,
198,
220,
220,
18625,
7467,
198,
220,
220,
931,
21040,
198,
12,
11556,
7233,
220,
220,
931,
11436,
271,
931,
11436,
271,
33,
7924,
25,
220,
16,
198,
220,
220,
18625,
7467,
1... | 1,426 | null | 168 | null | cl100k_base | 343 | null | null | subtraction | 511900 - 32
Borrow: 1
511900
000032
- ------
000008
000008
Borrow: 1
511900
000032
- ------
000068
000068
Borrow: 0
511900
000032
- ------
000868
000868
Borrow: 0
511900
000032
- ------
001868
001868
Borrow: 0
511900
000032
- ------
011868
011868
Borrow: 0
511900
000032
- -... |
step_by_step_arithmetic | null | [
10410,
15951,
1187,
482,
220,
1313,
1432,
33,
7924,
25,
220,
15,
198,
220,
220,
10410,
15951,
1187,
198,
220,
220,
931,
931,
1313,
198,
12,
90238,
220,
220,
931,
931,
2437,
271,
931,
931,
2437,
271,
33,
7924,
25,
220,
15,
198,
220... | 1,427 | null | 247 | null | cl100k_base | 535 | null | null | subtraction | 14836424 - 22
Borrow: 0
14836424
00000022
- --------
00000002
00000002
Borrow: 0
14836424
00000022
- --------
00000002
00000002
Borrow: 0
14836424
00000022
- --------
00000402
00000402
Borrow: 0
14836424
00000022
- --------
00006402
00006402
Borrow: 0
14836424
00000022
- --------
... |
step_by_step_arithmetic | null | [
22782,
16,
482,
220,
1958,
1432,
33,
7924,
25,
220,
16,
198,
220,
220,
22782,
16,
198,
220,
220,
6268,
19,
198,
12,
11556,
198,
220,
220,
931,
22,
271,
931,
22,
271,
33,
7924,
25,
220,
15,
198,
220,
220,
22782,
16,
198,
220,
2... | 1,428 | null | 114 | null | cl100k_base | 191 | null | null | subtraction | 5491 - 34
Borrow: 1
5491
0034
- ----
0007
0007
Borrow: 0
5491
0034
- ----
0057
0057
Borrow: 0
5491
0034
- ----
0457
0457
Borrow: 0
5491
0034
- ----
5457
5457
|
step_by_step_arithmetic | null | [
18044,
15,
482,
220,
1114,
1432,
33,
7924,
25,
220,
16,
198,
220,
220,
18044,
15,
198,
220,
220,
4119,
22,
198,
12,
11556,
198,
220,
220,
931,
18,
271,
931,
18,
271,
33,
7924,
25,
220,
15,
198,
220,
220,
18044,
15,
198,
220,
2... | 1,429 | null | 114 | null | cl100k_base | 191 | null | null | subtraction | 3660 - 17
Borrow: 1
3660
0017
- ----
0003
0003
Borrow: 0
3660
0017
- ----
0043
0043
Borrow: 0
3660
0017
- ----
0643
0643
Borrow: 0
3660
0017
- ----
3643
3643
|
step_by_step_arithmetic | null | [
24939,
482,
220,
1927,
1432,
33,
7924,
25,
220,
16,
198,
220,
220,
24939,
198,
220,
220,
23110,
198,
12,
55023,
220,
220,
13858,
271,
13858,
271,
33,
7924,
25,
220,
16,
198,
220,
220,
24939,
198,
220,
220,
23110,
198,
12,
55023,
2... | 1,430 | null | 71 | null | cl100k_base | 130 | null | null | subtraction | 735 - 36
Borrow: 1
735
036
- ---
009
009
Borrow: 1
735
036
- ---
099
099
Borrow: 0
735
036
- ---
699
699
|
step_by_step_arithmetic | null | [
25073,
10861,
17608,
1806,
482,
220,
25527,
21,
1432,
33,
7924,
25,
220,
15,
198,
220,
220,
25073,
10861,
17608,
1806,
198,
220,
220,
931,
931,
25779,
4218,
198,
12,
220,
26999,
220,
220,
931,
931,
931,
1721,
271,
931,
931,
931,
172... | 1,431 | null | 394 | null | cl100k_base | 900 | null | null | subtraction | 69217261037 - 7386
Borrow: 0
69217261037
00000007386
- -----------
00000000001
00000000001
Borrow: 1
69217261037
00000007386
- -----------
00000000051
00000000051
Borrow: 1
69217261037
00000007386
- -----------
00000000651
00000000651
Borrow: 1
69217261037
00000007386
- -----------
00000... |
step_by_step_arithmetic | null | [
21789,
482,
220,
806,
1432,
33,
7924,
25,
220,
15,
198,
220,
220,
21789,
198,
220,
220,
10731,
198,
12,
55023,
220,
220,
6726,
271,
6726,
271,
33,
7924,
25,
220,
15,
198,
220,
220,
21789,
198,
220,
220,
10731,
198,
12,
55023,
220,... | 1,432 | null | 71 | null | cl100k_base | 130 | null | null | subtraction | 563 - 11
Borrow: 0
563
011
- ---
002
002
Borrow: 0
563
011
- ---
052
052
Borrow: 0
563
011
- ---
552
552
|
step_by_step_arithmetic | null | [
21177,
21,
482,
220,
2148,
1432,
33,
7924,
25,
220,
15,
198,
220,
220,
21177,
21,
198,
220,
220,
6268,
16,
198,
12,
11556,
198,
220,
220,
931,
20,
271,
931,
20,
271,
33,
7924,
25,
220,
15,
198,
220,
220,
21177,
21,
198,
220,
2... | 1,433 | null | 114 | null | cl100k_base | 191 | null | null | subtraction | 5246 - 31
Borrow: 0
5246
0031
- ----
0005
0005
Borrow: 0
5246
0031
- ----
0015
0015
Borrow: 0
5246
0031
- ----
0215
0215
Borrow: 0
5246
0031
- ----
5215
5215
|
step_by_step_arithmetic | null | [
966,
482,
220,
1419,
1432,
33,
7924,
25,
220,
16,
198,
220,
220,
966,
198,
220,
220,
1419,
198,
12,
40614,
220,
220,
2589,
271,
2589,
271,
33,
7924,
25,
220,
15,
198,
220,
220,
966,
198,
220,
220,
1419,
198,
12,
40614,
220,
220,... | 1,434 | null | 49 | null | cl100k_base | 79 | null | null | subtraction | 30 - 23
Borrow: 1
30
23
- --
07
07
Borrow: 0
30
23
- --
07
07
|
step_by_step_arithmetic | null | [
14125,
482,
220,
679,
1432,
33,
7924,
25,
220,
15,
198,
220,
220,
14125,
198,
220,
220,
679,
198,
12,
55023,
220,
220,
11030,
271,
11030,
271,
33,
7924,
25,
220,
15,
198,
220,
220,
14125,
198,
220,
220,
679,
198,
12,
55023,
220,
... | 1,435 | null | 71 | null | cl100k_base | 131 | null | null | subtraction | 247 - 201
Borrow: 0
247
201
- ---
006
006
Borrow: 0
247
201
- ---
046
046
Borrow: 0
247
201
- ---
046
046
|
step_by_step_arithmetic | null | [
966,
482,
220,
1591,
1432,
33,
7924,
25,
220,
16,
198,
220,
220,
966,
198,
220,
220,
1591,
198,
12,
40614,
220,
220,
2437,
271,
2437,
271,
33,
7924,
25,
220,
15,
198,
220,
220,
966,
198,
220,
220,
1591,
198,
12,
40614,
220,
220,... | 1,436 | null | 49 | null | cl100k_base | 79 | null | null | subtraction | 30 - 28
Borrow: 1
30
28
- --
02
02
Borrow: 0
30
28
- --
02
02
|
step_by_step_arithmetic | null | [
11123,
22,
482,
220,
868,
1432,
33,
7924,
25,
220,
15,
198,
220,
220,
11123,
22,
198,
220,
220,
4119,
20,
198,
12,
11556,
198,
220,
220,
931,
17,
271,
931,
17,
271,
33,
7924,
25,
220,
15,
198,
220,
220,
11123,
22,
198,
220,
22... | 1,437 | null | 114 | null | cl100k_base | 191 | null | null | subtraction | 1717 - 15
Borrow: 0
1717
0015
- ----
0002
0002
Borrow: 0
1717
0015
- ----
0002
0002
Borrow: 0
1717
0015
- ----
0702
0702
Borrow: 0
1717
0015
- ----
1702
1702
|
step_by_step_arithmetic | null | [
10967,
23,
482,
220,
8258,
1432,
33,
7924,
25,
220,
15,
198,
220,
220,
10967,
23,
198,
220,
220,
17248,
15,
198,
12,
11556,
198,
220,
220,
931,
23,
271,
931,
23,
271,
33,
7924,
25,
220,
16,
198,
220,
220,
10967,
23,
198,
220,
... | 1,438 | null | 114 | null | cl100k_base | 192 | null | null | subtraction | 1768 - 170
Borrow: 0
1768
0170
- ----
0008
0008
Borrow: 1
1768
0170
- ----
0098
0098
Borrow: 0
1768
0170
- ----
0598
0598
Borrow: 0
1768
0170
- ----
1598
1598
|
step_by_step_arithmetic | null | [
1399,
482,
220,
1691,
1432,
33,
7924,
25,
220,
16,
198,
220,
220,
1399,
198,
220,
220,
1691,
198,
12,
40614,
220,
220,
2545,
271,
2545,
271,
33,
7924,
25,
220,
15,
198,
220,
220,
1399,
198,
220,
220,
1691,
198,
12,
40614,
220,
2... | 1,439 | null | 49 | null | cl100k_base | 79 | null | null | subtraction | 60 - 21
Borrow: 1
60
21
- --
09
09
Borrow: 0
60
21
- --
39
39
|
step_by_step_arithmetic | null | [
24579,
482,
220,
1774,
1432,
33,
7924,
25,
220,
16,
198,
220,
220,
24579,
198,
220,
220,
23785,
198,
12,
55023,
220,
220,
13858,
271,
13858,
271,
33,
7924,
25,
220,
16,
198,
220,
220,
24579,
198,
220,
220,
23785,
198,
12,
55023,
2... | 1,440 | null | 71 | null | cl100k_base | 130 | null | null | subtraction | 914 - 45
Borrow: 1
914
045
- ---
009
009
Borrow: 1
914
045
- ---
069
069
Borrow: 0
914
045
- ---
869
869
|
step_by_step_arithmetic | null | [
1041,
6640,
9588,
26223,
482,
220,
21741,
25505,
1432,
33,
7924,
25,
220,
16,
198,
220,
220,
1041,
6640,
9588,
26223,
198,
220,
220,
931,
931,
21741,
25505,
198,
12,
33658,
198,
220,
220,
931,
931,
931,
11436,
271,
931,
931,
931,
11... | 1,441 | null | 429 | null | cl100k_base | 1,043 | null | null | subtraction | 100108320834 - 690856
Borrow: 1
100108320834
000000690856
- ------------
000000000008
000000000008
Borrow: 1
100108320834
000000690856
- ------------
000000000078
000000000078
Borrow: 1
100108320834
000000690856
- ------------
000000000978
000000000978
Borrow: 1
100108320834
000000690856
-... |
step_by_step_arithmetic | null | [
17228,
20,
482,
220,
868,
1432,
33,
7924,
25,
220,
15,
198,
220,
220,
17228,
20,
198,
220,
220,
4119,
20,
198,
12,
11556,
198,
220,
220,
931,
15,
271,
931,
15,
271,
33,
7924,
25,
220,
15,
198,
220,
220,
17228,
20,
198,
220,
22... | 1,442 | null | 114 | null | cl100k_base | 191 | null | null | subtraction | 3535 - 15
Borrow: 0
3535
0015
- ----
0000
0000
Borrow: 0
3535
0015
- ----
0020
0020
Borrow: 0
3535
0015
- ----
0520
0520
Borrow: 0
3535
0015
- ----
3520
3520
|
step_by_step_arithmetic | null | [
21144,
482,
220,
5313,
1432,
33,
7924,
25,
220,
15,
198,
220,
220,
21144,
198,
220,
220,
24646,
198,
12,
55023,
220,
220,
6726,
271,
6726,
271,
33,
7924,
25,
220,
16,
198,
220,
220,
21144,
198,
220,
220,
24646,
198,
12,
55023,
220... | 1,443 | null | 71 | null | cl100k_base | 130 | null | null | subtraction | 477 - 85
Borrow: 0
477
085
- ---
002
002
Borrow: 1
477
085
- ---
092
092
Borrow: 0
477
085
- ---
392
392
|
step_by_step_arithmetic | null | [
24199,
2721,
482,
220,
13762,
22,
1432,
33,
7924,
25,
220,
16,
198,
220,
220,
24199,
2721,
198,
220,
220,
11592,
3534,
198,
12,
81049,
220,
220,
931,
2318,
271,
931,
2318,
271,
33,
7924,
25,
220,
16,
198,
220,
220,
24199,
2721,
19... | 1,444 | null | 137 | null | cl100k_base | 264 | null | null | subtraction | 66295 - 2197
Borrow: 1
66295
02197
- -----
00008
00008
Borrow: 1
66295
02197
- -----
00098
00098
Borrow: 0
66295
02197
- -----
00098
00098
Borrow: 0
66295
02197
- -----
04098
04098
Borrow: 0
66295
02197
- -----
64098
64098
|
step_by_step_arithmetic | null | [
19068,
482,
220,
4278,
1432,
33,
7924,
25,
220,
16,
198,
220,
220,
19068,
198,
220,
220,
4278,
198,
12,
55023,
220,
220,
11436,
271,
11436,
271,
33,
7924,
25,
220,
15,
198,
220,
220,
19068,
198,
220,
220,
4278,
198,
12,
55023,
220... | 1,445 | null | 71 | null | cl100k_base | 131 | null | null | subtraction | 980 - 102
Borrow: 1
980
102
- ---
008
008
Borrow: 0
980
102
- ---
078
078
Borrow: 0
980
102
- ---
878
878
|
step_by_step_arithmetic | null | [
8259,
482,
220,
1627,
1432,
33,
7924,
25,
220,
16,
198,
220,
220,
8259,
198,
220,
220,
21641,
198,
12,
55023,
220,
220,
11030,
271,
11030,
271,
33,
7924,
25,
220,
16,
198,
220,
220,
8259,
198,
220,
220,
21641,
198,
12,
55023,
220,... | 1,446 | null | 71 | null | cl100k_base | 130 | null | null | subtraction | 122 - 26
Borrow: 1
122
026
- ---
006
006
Borrow: 1
122
026
- ---
096
096
Borrow: 0
122
026
- ---
096
096
|
step_by_step_arithmetic | null | [
8258,
24,
482,
220,
4767,
1432,
33,
7924,
25,
220,
15,
198,
220,
220,
8258,
24,
198,
220,
220,
11194,
21,
198,
12,
11556,
198,
220,
220,
931,
18,
271,
931,
18,
271,
33,
7924,
25,
220,
16,
198,
220,
220,
8258,
24,
198,
220,
220... | 1,447 | null | 114 | null | cl100k_base | 191 | null | null | subtraction | 1709 - 76
Borrow: 0
1709
0076
- ----
0003
0003
Borrow: 1
1709
0076
- ----
0033
0033
Borrow: 0
1709
0076
- ----
0633
0633
Borrow: 0
1709
0076
- ----
1633
1633
|
step_by_step_arithmetic | null | [
25150,
482,
220,
1691,
1432,
33,
7924,
25,
220,
15,
198,
220,
220,
25150,
198,
220,
220,
11592,
198,
12,
55023,
220,
220,
11030,
271,
11030,
271,
33,
7924,
25,
220,
16,
198,
220,
220,
25150,
198,
220,
220,
11592,
198,
12,
55023,
2... | 1,448 | null | 71 | null | cl100k_base | 130 | null | null | subtraction | 717 - 21
Borrow: 0
717
021
- ---
006
006
Borrow: 1
717
021
- ---
096
096
Borrow: 0
717
021
- ---
696
696
|
step_by_step_arithmetic | null | [
17521,
17458,
21,
482,
220,
20555,
7854,
24,
1432,
33,
7924,
25,
220,
16,
198,
220,
220,
17521,
17458,
21,
198,
220,
220,
20555,
7854,
24,
198,
12,
39707,
220,
220,
931,
931,
22,
271,
931,
931,
22,
271,
33,
7924,
25,
220,
15,
19... | 1,449 | null | 219 | null | cl100k_base | 439 | null | null | subtraction | 7686786 - 4542049
Borrow: 1
7686786
4542049
- -------
0000007
0000007
Borrow: 0
7686786
4542049
- -------
0000037
0000037
Borrow: 0
7686786
4542049
- -------
0000737
0000737
Borrow: 0
7686786
4542049
- -------
0004737
0004737
Borrow: 0
7686786
4542049
- -------
0044737
0044737
... |
boolean | null | [
18902,
25,
1819,
56,
75078,
816,
8,
12264,
101,
320,
83193,
35,
595,
12264,
101,
1819,
35,
12264,
101,
220,
15,
8,
12264,
101,
320,
56,
75078,
220,
15,
4489,
3883,
512,
1209,
35,
12264,
101,
220,
15,
8,
12264,
101,
320,
56,
75078,... | 1,450 | null | 1,352 | null | cl100k_base | 1,956 | null | null | null | Original: ((Y ∧ Y) ∨ (¬D)) ∨ ((D ∨ 0) ∨ (Y ∧ 0))
Options:
((D ∨ 0) ∨ (Y ∧ 0)) ∨ ((Y ∧ Y) ∨ (¬D))
(((Y ∧ Y) ∨ (¬D)) ∨ (D ∨ 0)) ∨ (Y ∧ 0)
(Y ∧ Y) ∨ ((¬D) ∨ ((D ∨ 0) ∨ (Y ∧ 0)))
((Y ∧ Y) ∨ (¬D)) ∨ ((Y ∧ 0) ∨ (D ∨ 0))
((Y ∧ Y) ∨ (¬D)) ∨ (D ∨ (0 ∨ (Y ∧ 0)))
((Y ∧ Y) ∨ (¬D)) ∨ (((D ∨ 0) ∨ Y) ∧ ((D ∨ 0) ∨ 0))
((Y ∧ Y) ∨ (¬D)... |
boolean | null | [
18902,
25,
97265,
1209,
83193,
35,
8,
12264,
101,
320,
83193,
41,
4489,
3883,
512,
7,
83193,
7,
83193,
35,
595,
75078,
320,
83193,
7,
83193,
41,
1192,
83193,
1209,
83193,
41,
8,
12264,
101,
320,
83193,
35,
1192,
1163,
8477,
25,
9726... | 1,451 | null | 161 | null | cl100k_base | 288 | null | null | null | Original: ¬((¬D) ∨ (¬J))
Options:
(¬(¬D)) ∧ (¬(¬J))
¬((¬J) ∨ (¬D))
Chosen: ¬((¬J) ∨ (¬D))
Options:
(¬(¬J)) ∧ (¬(¬D))
Chosen: (¬(¬J)) ∧ (¬(¬D))
Options:
(¬(¬D)) ∧ (¬(¬J))
(¬(¬J)) ∧ D
J ∧ (¬(¬D))
Chosen: (¬(¬J)) ∧ D
Options:
D ∧ (¬(¬J))
J ∧ D
Chosen: J ∧ D
Options:
D ∧ J
Chosen: D ∧ J |
boolean | null | [
18902,
25,
97265,
1209,
15,
75078,
1229,
8,
12264,
101,
320,
46,
12264,
101,
220,
15,
4489,
3883,
512,
7,
83193,
7,
15,
75078,
1229,
595,
75078,
320,
83193,
7,
46,
12264,
101,
220,
15,
1192,
83193,
1209,
46,
12264,
101,
220,
15,
8... | 1,452 | null | 429 | null | cl100k_base | 657 | null | null | null | Original: ¬((0 ∧ Q) ∨ (O ∨ 0))
Options:
(¬(0 ∧ Q)) ∧ (¬(O ∨ 0))
¬((O ∨ 0) ∨ (0 ∧ Q))
¬(((0 ∧ Q) ∨ O) ∨ 0)
¬((0 ∧ Q) ∨ O)
¬((0 ∧ Q) ∨ (0 ∨ O))
¬(0 ∨ (O ∨ 0))
¬((Q ∧ 0) ∨ (O ∨ 0))
Chosen: ¬(((0 ∧ Q) ∨ O) ∨ 0)
Options:
(¬((0 ∧ Q) ∨ O)) ∧ (¬0)
¬((0 ∧ Q) ∨ O)
¬(0 ∨ ((0 ∧ Q) ∨ O))
¬((O ∨ (0 ∧ Q)) ∨ 0)
¬((0 ∨ O) ∨ 0)
¬(((Q ... |
boolean | null | [
18902,
25,
97265,
1209,
47,
12264,
101,
386,
8,
75078,
320,
15,
12264,
101,
393,
4489,
3883,
512,
7,
83193,
7,
47,
12264,
101,
386,
595,
12264,
101,
320,
83193,
7,
15,
12264,
101,
393,
1192,
83193,
1209,
15,
12264,
101,
393,
8,
75... | 1,453 | null | 614 | null | cl100k_base | 966 | null | null | null | Original: ¬((P ∨ M) ∧ (0 ∨ P))
Options:
(¬(P ∨ M)) ∨ (¬(0 ∨ P))
¬((0 ∨ P) ∧ (P ∨ M))
¬(((P ∨ M) ∧ 0) ∨ ((P ∨ M) ∧ P))
¬((P ∨ M) ∧ P)
¬((P ∨ M) ∧ (P ∨ 0))
¬((M ∨ P) ∧ (0 ∨ P))
Chosen: ¬((0 ∨ P) ∧ (P ∨ M))
Options:
(¬(0 ∨ P)) ∨ (¬(P ∨ M))
¬(((0 ∨ P) ∧ P) ∨ ((0 ∨ P) ∧ M))
¬((0 ∨ P) ∧ (M ∨ P))
¬(P ∧ (P ∨ M))
¬((P ∨ 0) ∧ ... |
boolean | null | [
18902,
25,
1819,
50,
12264,
101,
220,
16,
8,
75078,
320,
83193,
16,
595,
75078,
1819,
16,
12264,
101,
328,
8,
12264,
101,
320,
16,
12264,
101,
328,
4489,
3883,
512,
1209,
16,
12264,
101,
328,
8,
12264,
101,
320,
16,
12264,
101,
32... | 1,454 | null | 1,027 | null | cl100k_base | 1,503 | null | null | null | Original: ((S ∨ 1) ∧ (¬1)) ∧ ((1 ∨ S) ∨ (1 ∨ S))
Options:
((1 ∨ S) ∨ (1 ∨ S)) ∧ ((S ∨ 1) ∧ (¬1))
(S ∨ 1) ∧ ((¬1) ∧ ((1 ∨ S) ∨ (1 ∨ S)))
(((S ∨ 1) ∧ (¬1)) ∧ (1 ∨ S)) ∨ (((S ∨ 1) ∧ (¬1)) ∧ (1 ∨ S))
((S ∨ 1) ∧ (¬1)) ∧ (((1 ∨ S) ∨ 1) ∨ S)
((S ∨ 1) ∧ (¬1)) ∧ (1 ∨ (S ∨ (1 ∨ S)))
((S ∨ 1) ∧ (¬1)) ∧ ((1 ∨ S) ∨ 1)
((S ∨ 1) ∧ (... |
boolean | null | [
18902,
25,
320,
83193,
7,
83193,
33,
595,
12264,
101,
320,
83193,
7,
83193,
33,
4489,
3883,
512,
7,
83193,
7,
83193,
33,
595,
12264,
101,
426,
198,
33,
12264,
101,
320,
83193,
7,
83193,
33,
1192,
1163,
8477,
25,
320,
83193,
7,
831... | 1,455 | null | 82 | null | cl100k_base | 145 | null | null | null | Original: (¬(¬B)) ∨ (¬(¬B))
Options:
(¬(¬B)) ∨ B
B ∨ (¬(¬B))
Chosen: (¬(¬B)) ∨ B
Options:
B ∨ (¬(¬B))
B ∨ B
Chosen: B ∨ B
Options:
B
Chosen: B |
boolean | null | [
18902,
25,
1819,
15,
12264,
101,
220,
16,
8,
75078,
320,
83193,
15,
595,
75078,
1819,
16,
12264,
101,
220,
15,
8,
12264,
101,
320,
83193,
34,
4489,
3883,
512,
1209,
16,
12264,
101,
220,
15,
8,
12264,
101,
320,
83193,
34,
595,
7507... | 1,456 | null | 841 | null | cl100k_base | 1,224 | null | null | null | Original: ((0 ∨ 1) ∧ (¬0)) ∧ ((1 ∨ 0) ∨ (¬C))
Options:
((1 ∨ 0) ∨ (¬C)) ∧ ((0 ∨ 1) ∧ (¬0))
(0 ∨ 1) ∧ ((¬0) ∧ ((1 ∨ 0) ∨ (¬C)))
(((0 ∨ 1) ∧ (¬0)) ∧ (1 ∨ 0)) ∨ (((0 ∨ 1) ∧ (¬0)) ∧ (¬C))
((0 ∨ 1) ∧ (¬0)) ∧ ((¬C) ∨ (1 ∨ 0))
((0 ∨ 1) ∧ (¬0)) ∧ (1 ∨ (0 ∨ (¬C)))
((0 ∨ 1) ∧ (¬0)) ∧ (1 ∨ (¬C))
((0 ∨ 1) ∧ (¬0)) ∧ ((0 ∨ 1) ∨ (¬C... |
boolean | null | [
18902,
25,
1819,
47,
75078,
220,
16,
8,
12264,
101,
320,
15,
12264,
101,
220,
16,
595,
12264,
101,
320,
83193,
7,
16,
12264,
101,
507,
4489,
3883,
512,
7,
83193,
7,
16,
12264,
101,
507,
595,
12264,
101,
1819,
47,
75078,
220,
16,
... | 1,457 | null | 652 | null | cl100k_base | 892 | null | null | null | Original: ((P ∧ 1) ∨ (0 ∨ 1)) ∨ (¬(1 ∨ O))
Options:
(¬(1 ∨ O)) ∨ ((P ∧ 1) ∨ (0 ∨ 1))
(P ∧ 1) ∨ ((0 ∨ 1) ∨ (¬(1 ∨ O)))
((P ∧ 1) ∨ (0 ∨ 1)) ∨ ((¬1) ∧ (¬O))
((P ∧ 1) ∨ (0 ∨ 1)) ∨ (¬1)
((P ∧ 1) ∨ (0 ∨ 1)) ∨ (¬(O ∨ 1))
((0 ∨ 1) ∨ (P ∧ 1)) ∨ (¬(1 ∨ O))
(((P ∧ 1) ∨ 0) ∨ 1) ∨ (¬(1 ∨ O))
((P ∧ 1) ∨ 1) ∨ (¬(1 ∨ O))
((P ∧ 1) ∨ (... |
boolean | null | [
18902,
25,
1819,
16,
75078,
220,
15,
8,
75078,
320,
83193,
15,
595,
75078,
320,
83193,
7,
16,
12264,
101,
452,
4489,
3883,
512,
7,
83193,
7,
16,
12264,
101,
452,
595,
75078,
1819,
16,
75078,
220,
15,
8,
75078,
320,
83193,
15,
1192... | 1,458 | null | 836 | null | cl100k_base | 1,303 | null | null | null | Original: ((1 ∧ 0) ∧ (¬0)) ∧ (¬(1 ∨ N))
Options:
(¬(1 ∨ N)) ∧ ((1 ∧ 0) ∧ (¬0))
(1 ∧ 0) ∧ ((¬0) ∧ (¬(1 ∨ N)))
((1 ∧ 0) ∧ (¬0)) ∧ ((¬1) ∧ (¬N))
((1 ∧ 0) ∧ (¬0)) ∧ (¬1)
((1 ∧ 0) ∧ (¬0)) ∧ (¬(N ∨ 1))
((¬0) ∧ (1 ∧ 0)) ∧ (¬(1 ∨ N))
(1 ∧ (0 ∧ (¬0))) ∧ (¬(1 ∨ N))
((1 ∧ 0) ∧ 1) ∧ (¬(1 ∨ N))
(0 ∧ (¬0)) ∧ (¬(1 ∨ N))
((0 ∧ 1) ∧ (... |
boolean | null | [
18902,
25,
320,
83193,
7,
16,
75078,
507,
595,
12264,
101,
1819,
83193,
38,
8,
12264,
101,
320,
46,
75078,
220,
15,
4489,
3883,
512,
1209,
83193,
38,
8,
12264,
101,
320,
46,
75078,
220,
15,
595,
12264,
101,
320,
83193,
7,
16,
7507... | 1,459 | null | 820 | null | cl100k_base | 1,194 | null | null | null | Original: (¬(1 ∧ O)) ∨ ((¬G) ∨ (O ∧ 0))
Options:
((¬G) ∨ (O ∧ 0)) ∨ (¬(1 ∧ O))
((¬(1 ∧ O)) ∨ (¬G)) ∨ (O ∧ 0)
(¬(1 ∧ O)) ∨ ((O ∧ 0) ∨ (¬G))
(¬(1 ∧ O)) ∨ (((¬G) ∨ O) ∧ ((¬G) ∨ 0))
(¬(1 ∧ O)) ∨ ((¬G) ∨ 0)
(¬(1 ∧ O)) ∨ ((¬G) ∨ (0 ∧ O))
((¬1) ∨ (¬O)) ∨ ((¬G) ∨ (O ∧ 0))
(¬O) ∨ ((¬G) ∨ (O ∧ 0))
(¬(O ∧ 1)) ∨ ((¬G) ∨ (O ∧ 0))
... |
boolean | null | [
18902,
25,
1819,
83193,
15,
8,
75078,
320,
43,
75078,
220,
15,
595,
12264,
101,
1819,
37,
12264,
101,
220,
16,
8,
12264,
101,
320,
83193,
37,
4489,
3883,
512,
1209,
37,
12264,
101,
220,
16,
8,
12264,
101,
320,
83193,
37,
595,
1226... | 1,460 | null | 1,537 | null | cl100k_base | 2,265 | null | null | null | Original: ((¬0) ∧ (L ∧ 0)) ∨ ((F ∨ 1) ∨ (¬F))
Options:
((F ∨ 1) ∨ (¬F)) ∨ ((¬0) ∧ (L ∧ 0))
(((¬0) ∧ (L ∧ 0)) ∨ (F ∨ 1)) ∨ (¬F)
((¬0) ∧ (L ∧ 0)) ∨ ((¬F) ∨ (F ∨ 1))
((¬0) ∧ (L ∧ 0)) ∨ (F ∨ (1 ∨ (¬F)))
((¬0) ∧ (L ∧ 0)) ∨ (1 ∨ (¬F))
((¬0) ∧ (L ∧ 0)) ∨ ((1 ∨ F) ∨ (¬F))
((L ∧ 0) ∧ (¬0)) ∨ ((F ∨ 1) ∨ (¬F))
(((¬0) ∧ L) ∧ 0) ∨... |
boolean | null | [
18902,
25,
1819,
38,
12264,
101,
220,
16,
8,
12264,
101,
320,
38,
75078,
480,
595,
75078,
1819,
15,
12264,
101,
220,
16,
8,
12264,
101,
320,
53,
75078,
480,
4489,
3883,
512,
1209,
15,
12264,
101,
220,
16,
8,
12264,
101,
320,
53,
... | 1,461 | null | 1,569 | null | cl100k_base | 2,295 | null | null | null | Original: ((G ∨ 1) ∨ (G ∧ G)) ∧ ((0 ∨ 1) ∨ (V ∧ G))
Options:
((0 ∨ 1) ∨ (V ∧ G)) ∧ ((G ∨ 1) ∨ (G ∧ G))
(((G ∨ 1) ∨ (G ∧ G)) ∧ (0 ∨ 1)) ∨ (((G ∨ 1) ∨ (G ∧ G)) ∧ (V ∧ G))
((G ∨ 1) ∨ (G ∧ G)) ∧ ((V ∧ G) ∨ (0 ∨ 1))
((G ∨ 1) ∨ (G ∧ G)) ∧ (0 ∨ (1 ∨ (V ∧ G)))
((G ∨ 1) ∨ (G ∧ G)) ∧ (((0 ∨ 1) ∨ V) ∧ ((0 ∨ 1) ∨ G))
((G ∨ 1) ∨ (... |
boolean | null | [
18902,
25,
1819,
51,
75078,
220,
15,
8,
75078,
320,
37,
75078,
350,
595,
12264,
101,
1819,
37,
75078,
220,
16,
8,
75078,
320,
15,
12264,
101,
350,
4489,
3883,
512,
1209,
37,
75078,
220,
16,
8,
75078,
320,
15,
12264,
101,
350,
595,... | 1,462 | null | 2,007 | null | cl100k_base | 3,279 | null | null | null | Original: ((T ∧ 0) ∧ (F ∧ T)) ∨ ((F ∧ 1) ∧ (0 ∨ T))
Options:
((F ∧ 1) ∧ (0 ∨ T)) ∨ ((T ∧ 0) ∧ (F ∧ T))
(((T ∧ 0) ∧ (F ∧ T)) ∨ (F ∧ 1)) ∧ (((T ∧ 0) ∧ (F ∧ T)) ∨ (0 ∨ T))
((T ∧ 0) ∧ (F ∧ T)) ∨ ((0 ∨ T) ∧ (F ∧ 1))
((T ∧ 0) ∧ (F ∧ T)) ∨ (F ∧ (1 ∧ (0 ∨ T)))
((T ∧ 0) ∧ (F ∧ T)) ∨ (((F ∧ 1) ∧ 0) ∨ ((F ∧ 1) ∧ T))
((T ∧ 0) ∧ (... |
boolean | null | [
18902,
25,
320,
83193,
7,
83193,
15,
595,
75078,
1819,
16,
12264,
101,
220,
15,
8,
12264,
101,
320,
83193,
36,
4489,
3883,
512,
1209,
16,
12264,
101,
220,
15,
8,
12264,
101,
320,
83193,
36,
595,
75078,
320,
83193,
7,
83193,
15,
11... | 1,463 | null | 414 | null | cl100k_base | 625 | null | null | null | Original: (¬(¬0)) ∧ ((1 ∨ 0) ∨ (¬E))
Options:
((1 ∨ 0) ∨ (¬E)) ∧ (¬(¬0))
((¬(¬0)) ∧ (1 ∨ 0)) ∨ ((¬(¬0)) ∧ (¬E))
(¬(¬0)) ∧ ((¬E) ∨ (1 ∨ 0))
(¬(¬0)) ∧ (1 ∨ (0 ∨ (¬E)))
(¬(¬0)) ∧ (1 ∨ (¬E))
(¬(¬0)) ∧ ((0 ∨ 1) ∨ (¬E))
0 ∧ ((1 ∨ 0) ∨ (¬E))
(¬1) ∧ ((1 ∨ 0) ∨ (¬E))
Chosen: (¬(¬0)) ∧ (1 ∨ (¬E))
Options:
(1 ∨ (¬E)) ∧ (¬(¬0))
... |
boolean | null | [
18902,
25,
97265,
7,
83193,
7,
32,
12264,
101,
220,
15,
4489,
3883,
512,
32,
12264,
101,
220,
15,
198,
83193,
1209,
83193,
32,
8,
75078,
320,
83193,
15,
1192,
83193,
7,
83193,
32,
340,
83193,
7,
83193,
7,
15,
12264,
101,
362,
1192... | 1,464 | null | 60 | null | cl100k_base | 106 | null | null | null | Original: ¬(¬(A ∨ 0))
Options:
A ∨ 0
¬((¬A) ∧ (¬0))
¬(¬A)
¬(¬(0 ∨ A))
Chosen: ¬(¬A)
Options:
A
Chosen: A |
boolean | null | [
18902,
25,
1819,
15,
12264,
101,
220,
16,
8,
75078,
320,
15,
12264,
101,
220,
15,
595,
12264,
101,
1819,
52,
75078,
549,
8,
12264,
101,
320,
15,
12264,
101,
220,
15,
4489,
3883,
512,
1209,
52,
75078,
549,
8,
12264,
101,
320,
15,
... | 1,465 | null | 1,371 | null | cl100k_base | 1,881 | null | null | null | Original: ((0 ∨ 1) ∧ (0 ∨ 0)) ∨ ((U ∧ U) ∨ (0 ∨ 0))
Options:
((U ∧ U) ∨ (0 ∨ 0)) ∨ ((0 ∨ 1) ∧ (0 ∨ 0))
(((0 ∨ 1) ∧ (0 ∨ 0)) ∨ (U ∧ U)) ∨ (0 ∨ 0)
((0 ∨ 1) ∧ (0 ∨ 0)) ∨ ((0 ∨ 0) ∨ (U ∧ U))
((0 ∨ 1) ∧ (0 ∨ 0)) ∨ (((U ∧ U) ∨ 0) ∨ 0)
((0 ∨ 1) ∧ (0 ∨ 0)) ∨ ((U ∧ U) ∨ 0)
((0 ∨ 1) ∧ (0 ∨ 0)) ∨ (U ∨ (0 ∨ 0))
((0 ∨ 0) ∧ (0 ∨ 1)... |
boolean | null | [
18902,
25,
97265,
1209,
83193,
16,
8,
75078,
320,
54,
12264,
101,
432,
4489,
3883,
512,
7,
83193,
7,
83193,
16,
595,
12264,
101,
320,
83193,
7,
54,
12264,
101,
432,
1192,
83193,
1209,
54,
12264,
101,
432,
8,
75078,
320,
83193,
16,
... | 1,466 | null | 236 | null | cl100k_base | 391 | null | null | null | Original: ¬((¬1) ∧ (W ∨ R))
Options:
(¬(¬1)) ∨ (¬(W ∨ R))
¬((W ∨ R) ∧ (¬1))
¬(((¬1) ∧ W) ∨ ((¬1) ∧ R))
¬((¬1) ∧ (R ∨ W))
¬(0 ∧ (W ∨ R))
Chosen: ¬((¬1) ∧ (R ∨ W))
Options:
(¬(¬1)) ∨ (¬(R ∨ W))
¬((R ∨ W) ∧ (¬1))
¬(((¬1) ∧ R) ∨ ((¬1) ∧ W))
¬(0 ∧ (R ∨ W))
Chosen: ¬(0 ∧ (R ∨ W))
Options:
(¬0) ∨ (¬(R ∨ W))
¬0
¬((R ∨ W) ∧ ... |
boolean | null | [
18902,
25,
320,
83193,
7,
83193,
35,
595,
12264,
101,
320,
83193,
7,
83193,
35,
4489,
3883,
512,
7,
83193,
7,
83193,
35,
595,
12264,
101,
423,
198,
35,
12264,
101,
320,
83193,
7,
83193,
35,
1192,
1163,
8477,
25,
423,
12264,
101,
3... | 1,467 | null | 82 | null | cl100k_base | 145 | null | null | null | Original: (¬(¬D)) ∨ (¬(¬D))
Options:
(¬(¬D)) ∨ D
D ∨ (¬(¬D))
Chosen: D ∨ (¬(¬D))
Options:
(¬(¬D)) ∨ D
D ∨ D
Chosen: D ∨ D
Options:
D
Chosen: D |
boolean | null | [
18902,
25,
97265,
1209,
38,
12264,
101,
480,
8,
12264,
101,
320,
38,
75078,
650,
4489,
3883,
512,
7,
83193,
7,
38,
12264,
101,
480,
595,
75078,
320,
83193,
7,
38,
75078,
650,
1192,
83193,
1209,
38,
75078,
650,
8,
12264,
101,
320,
... | 1,468 | null | 397 | null | cl100k_base | 651 | null | null | null | Original: ¬((G ∨ G) ∨ (G ∧ V))
Options:
(¬(G ∨ G)) ∧ (¬(G ∧ V))
¬((G ∧ V) ∨ (G ∨ G))
¬(G ∨ (G ∨ (G ∧ V)))
¬(((G ∨ G) ∨ G) ∧ ((G ∨ G) ∨ V))
¬((G ∨ G) ∨ (V ∧ G))
¬(G ∨ (G ∧ V))
Chosen: ¬((G ∧ V) ∨ (G ∨ G))
Options:
(¬(G ∧ V)) ∧ (¬(G ∨ G))
¬(((G ∧ V) ∨ G) ∨ G)
¬((G ∧ V) ∨ G)
¬((V ∧ G) ∨ (G ∨ G))
Chosen: (¬(G ∧ V)) ∧ (¬(... |
boolean | null | [
18902,
25,
1819,
16,
12264,
101,
393,
8,
12264,
101,
320,
83193,
15,
595,
12264,
101,
1819,
47,
75078,
393,
8,
12264,
101,
320,
15,
12264,
101,
220,
16,
4489,
3883,
512,
1209,
47,
75078,
393,
8,
12264,
101,
320,
15,
12264,
101,
22... | 1,469 | null | 955 | null | cl100k_base | 1,346 | null | null | null | Original: ((1 ∨ P) ∨ (¬0)) ∨ ((P ∧ P) ∨ (0 ∨ 1))
Options:
((P ∧ P) ∨ (0 ∨ 1)) ∨ ((1 ∨ P) ∨ (¬0))
(((1 ∨ P) ∨ (¬0)) ∨ (P ∧ P)) ∨ (0 ∨ 1)
(1 ∨ P) ∨ ((¬0) ∨ ((P ∧ P) ∨ (0 ∨ 1)))
((1 ∨ P) ∨ (¬0)) ∨ ((0 ∨ 1) ∨ (P ∧ P))
((1 ∨ P) ∨ (¬0)) ∨ (((P ∧ P) ∨ 0) ∨ 1)
((1 ∨ P) ∨ (¬0)) ∨ ((P ∧ P) ∨ 1)
((1 ∨ P) ∨ (¬0)) ∨ ((P ∧ P) ∨ (1 ... |
boolean | null | [
18902,
25,
1819,
83193,
53,
8,
75078,
320,
15,
75078,
220,
16,
595,
12264,
101,
1819,
15,
12264,
101,
445,
8,
75078,
320,
83193,
16,
4489,
3883,
512,
1209,
15,
12264,
101,
445,
8,
75078,
320,
83193,
16,
595,
12264,
101,
1819,
83193,... | 1,470 | null | 1,148 | null | cl100k_base | 1,764 | null | null | null | Original: ((¬V) ∧ (0 ∧ 1)) ∨ ((0 ∨ L) ∧ (¬1))
Options:
((0 ∨ L) ∧ (¬1)) ∨ ((¬V) ∧ (0 ∧ 1))
(((¬V) ∧ (0 ∧ 1)) ∨ (0 ∨ L)) ∧ (((¬V) ∧ (0 ∧ 1)) ∨ (¬1))
((¬V) ∧ (0 ∧ 1)) ∨ ((¬1) ∧ (0 ∨ L))
((¬V) ∧ (0 ∧ 1)) ∨ ((0 ∨ L) ∧ 0)
((¬V) ∧ (0 ∧ 1)) ∨ (L ∧ (¬1))
((¬V) ∧ (0 ∧ 1)) ∨ ((L ∨ 0) ∧ (¬1))
((0 ∧ 1) ∧ (¬V)) ∨ ((0 ∨ L) ∧ (¬1))
... |
boolean | null | [
18902,
25,
1819,
33,
12264,
101,
220,
16,
8,
12264,
101,
320,
15,
12264,
101,
220,
16,
595,
12264,
101,
320,
83193,
7,
16,
75078,
220,
16,
4489,
3883,
512,
7,
83193,
7,
16,
75078,
220,
16,
595,
12264,
101,
1819,
33,
12264,
101,
... | 1,471 | null | 1,324 | null | cl100k_base | 1,754 | null | null | null | Original: ((B ∨ 1) ∨ (0 ∨ 1)) ∨ (¬(1 ∧ 1))
Options:
(¬(1 ∧ 1)) ∨ ((B ∨ 1) ∨ (0 ∨ 1))
(B ∨ 1) ∨ ((0 ∨ 1) ∨ (¬(1 ∧ 1)))
((B ∨ 1) ∨ (0 ∨ 1)) ∨ ((¬1) ∨ (¬1))
((B ∨ 1) ∨ (0 ∨ 1)) ∨ (¬1)
((0 ∨ 1) ∨ (B ∨ 1)) ∨ (¬(1 ∧ 1))
(((B ∨ 1) ∨ 0) ∨ 1) ∨ (¬(1 ∧ 1))
(B ∨ (1 ∨ (0 ∨ 1))) ∨ (¬(1 ∧ 1))
((B ∨ 1) ∨ 1) ∨ (¬(1 ∧ 1))
((B ∨ 1) ∨ (... |
boolean | null | [
18902,
25,
97265,
7,
83193,
7,
83193,
36,
4489,
3883,
512,
83193,
36,
198,
1163,
8477,
25,
97265,
36
] | 1,472 | null | 19 | null | cl100k_base | 42 | null | null | null | Original: ¬(¬(¬E))
Options:
¬E
Chosen: ¬E |
boolean | null | [
18902,
25,
320,
83193,
7,
83193,
39,
595,
75078,
320,
83193,
7,
15,
12264,
101,
220,
15,
4489,
3883,
512,
7,
83193,
7,
15,
12264,
101,
220,
15,
595,
75078,
320,
83193,
7,
83193,
39,
1192,
7,
83193,
7,
83193,
39,
595,
75078,
1819,
... | 1,473 | null | 179 | null | cl100k_base | 307 | null | null | null | Original: (¬(¬H)) ∧ (¬(0 ∨ 0))
Options:
(¬(0 ∨ 0)) ∧ (¬(¬H))
(¬(¬H)) ∧ ((¬0) ∧ (¬0))
(¬(¬H)) ∧ (¬0)
H ∧ (¬(0 ∨ 0))
Chosen: H ∧ (¬(0 ∨ 0))
Options:
(¬(0 ∨ 0)) ∧ H
H ∧ ((¬0) ∧ (¬0))
H ∧ (¬0)
Chosen: H ∧ (¬0)
Options:
(¬0) ∧ H
H ∧ 1
Chosen: (¬0) ∧ H
Options:
1 ∧ H
Chosen: 1 ∧ H
Options:
H
H ∧ 1
Chosen: H |
boolean | null | [
18902,
25,
320,
83193,
7,
57,
12264,
101,
1901,
595,
12264,
101,
320,
83193,
7,
83193,
49,
4489,
3883,
512,
7,
83193,
7,
83193,
49,
595,
12264,
101,
320,
83193,
7,
57,
12264,
101,
1901,
1192,
7,
83193,
7,
57,
12264,
101,
1901,
595... | 1,474 | null | 156 | null | cl100k_base | 243 | null | null | null | Original: (¬(Z ∨ Z)) ∨ (¬(¬R))
Options:
(¬(¬R)) ∨ (¬(Z ∨ Z))
(¬(Z ∨ Z)) ∨ R
((¬Z) ∧ (¬Z)) ∨ (¬(¬R))
(¬Z) ∨ (¬(¬R))
Chosen: (¬(Z ∨ Z)) ∨ R
Options:
R ∨ (¬(Z ∨ Z))
((¬Z) ∧ (¬Z)) ∨ R
(¬Z) ∨ R
Chosen: (¬Z) ∨ R
Options:
R ∨ (¬Z)
Chosen: R ∨ (¬Z) |
boolean | null | [
18902,
25,
320,
83193,
7,
55,
75078,
1229,
595,
12264,
101,
1819,
15,
12264,
101,
1630,
8,
12264,
101,
320,
83193,
16,
4489,
3883,
512,
1209,
15,
12264,
101,
1630,
8,
12264,
101,
320,
83193,
16,
595,
12264,
101,
320,
83193,
7,
55,
... | 1,475 | null | 769 | null | cl100k_base | 1,134 | null | null | null | Original: (¬(X ∧ Q)) ∨ ((0 ∨ X) ∨ (¬1))
Options:
((0 ∨ X) ∨ (¬1)) ∨ (¬(X ∧ Q))
((¬(X ∧ Q)) ∨ (0 ∨ X)) ∨ (¬1)
(¬(X ∧ Q)) ∨ ((¬1) ∨ (0 ∨ X))
(¬(X ∧ Q)) ∨ (0 ∨ (X ∨ (¬1)))
(¬(X ∧ Q)) ∨ ((0 ∨ X) ∨ 0)
(¬(X ∧ Q)) ∨ (X ∨ (¬1))
(¬(X ∧ Q)) ∨ ((X ∨ 0) ∨ (¬1))
((¬X) ∨ (¬Q)) ∨ ((0 ∨ X) ∨ (¬1))
(¬(Q ∧ X)) ∨ ((0 ∨ X) ∨ (¬1))
Chosen... |
boolean | null | [
18902,
25,
97265,
7,
83193,
7,
50,
12264,
101,
220,
15,
4489,
3883,
512,
50,
12264,
101,
220,
15,
198,
83193,
1209,
83193,
50,
8,
75078,
320,
83193,
15,
1192,
83193,
7,
83193,
50,
340,
83193,
7,
83193,
7,
15,
12264,
101,
328,
1192... | 1,476 | null | 66 | null | cl100k_base | 112 | null | null | null | Original: ¬(¬(S ∨ 0))
Options:
S ∨ 0
¬((¬S) ∧ (¬0))
¬(¬S)
¬(¬(0 ∨ S))
Chosen: S ∨ 0
Options:
S
0 ∨ S
Chosen: S |
boolean | null | [
18902,
25,
1819,
15,
12264,
101,
220,
16,
8,
12264,
101,
320,
15,
12264,
101,
220,
16,
595,
12264,
101,
1819,
83193,
16,
8,
75078,
320,
16,
75078,
622,
4489,
3883,
512,
1209,
83193,
16,
8,
75078,
320,
16,
75078,
622,
595,
12264,
1... | 1,477 | null | 1,730 | null | cl100k_base | 2,382 | null | null | null | Original: ((0 ∨ 1) ∨ (0 ∨ 1)) ∨ ((¬1) ∧ (1 ∧ J))
Options:
((¬1) ∧ (1 ∧ J)) ∨ ((0 ∨ 1) ∨ (0 ∨ 1))
(0 ∨ 1) ∨ ((0 ∨ 1) ∨ ((¬1) ∧ (1 ∧ J)))
(((0 ∨ 1) ∨ (0 ∨ 1)) ∨ (¬1)) ∧ (((0 ∨ 1) ∨ (0 ∨ 1)) ∨ (1 ∧ J))
((0 ∨ 1) ∨ (0 ∨ 1)) ∨ ((1 ∧ J) ∧ (¬1))
((0 ∨ 1) ∨ (0 ∨ 1)) ∨ (((¬1) ∧ 1) ∧ J)
((0 ∨ 1) ∨ (0 ∨ 1)) ∨ ((¬1) ∧ J)
((0 ∨ 1) ... |
boolean | null | [
18902,
25,
320,
83193,
7,
15,
75078,
220,
15,
595,
75078,
320,
83193,
7,
15,
75078,
220,
16,
4489,
3883,
512,
7,
83193,
7,
15,
75078,
220,
16,
595,
75078,
320,
83193,
7,
15,
75078,
220,
15,
1192,
7,
83193,
7,
15,
75078,
220,
15,... | 1,478 | null | 445 | null | cl100k_base | 675 | null | null | null | Original: (¬(0 ∧ 0)) ∧ (¬(0 ∧ 1))
Options:
(¬(0 ∧ 1)) ∧ (¬(0 ∧ 0))
(¬(0 ∧ 0)) ∧ ((¬0) ∨ (¬1))
(¬(0 ∧ 0)) ∧ (¬0)
(¬(0 ∧ 0)) ∧ (¬(1 ∧ 0))
((¬0) ∨ (¬0)) ∧ (¬(0 ∧ 1))
(¬0) ∧ (¬(0 ∧ 1))
Chosen: (¬(0 ∧ 0)) ∧ (¬0)
Options:
(¬0) ∧ (¬(0 ∧ 0))
(¬(0 ∧ 0)) ∧ 1
((¬0) ∨ (¬0)) ∧ (¬0)
(¬0) ∧ (¬0)
Chosen: (¬0) ∧ (¬(0 ∧ 0))
Options:
... |
boolean | null | [
18902,
25,
320,
83193,
7,
15,
75078,
220,
15,
595,
12264,
101,
320,
83193,
7,
83193,
15,
4489,
3883,
512,
7,
83193,
7,
83193,
15,
595,
12264,
101,
320,
83193,
7,
15,
75078,
220,
15,
1192,
7,
83193,
7,
15,
75078,
220,
15,
595,
12... | 1,479 | null | 193 | null | cl100k_base | 292 | null | null | null | Original: (¬(0 ∧ 0)) ∨ (¬(¬0))
Options:
(¬(¬0)) ∨ (¬(0 ∧ 0))
(¬(0 ∧ 0)) ∨ 0
(¬(0 ∧ 0)) ∨ (¬1)
((¬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
Options:
1
Chosen: 1 |
boolean | null | [
18902,
25,
320,
83193,
7,
16,
12264,
101,
468,
595,
75078,
320,
83193,
7,
15,
75078,
220,
16,
4489,
3883,
512,
7,
83193,
7,
15,
75078,
220,
16,
595,
75078,
320,
83193,
7,
16,
12264,
101,
468,
1192,
7,
83193,
7,
16,
12264,
101,
4... | 1,480 | null | 512 | null | cl100k_base | 768 | null | null | null | Original: (¬(1 ∨ W)) ∧ (¬(0 ∧ 1))
Options:
(¬(0 ∧ 1)) ∧ (¬(1 ∨ W))
(¬(1 ∨ W)) ∧ ((¬0) ∨ (¬1))
(¬(1 ∨ W)) ∧ (¬0)
(¬(1 ∨ W)) ∧ (¬(1 ∧ 0))
((¬1) ∧ (¬W)) ∧ (¬(0 ∧ 1))
(¬1) ∧ (¬(0 ∧ 1))
(¬(W ∨ 1)) ∧ (¬(0 ∧ 1))
Chosen: (¬(W ∨ 1)) ∧ (¬(0 ∧ 1))
Options:
(¬(0 ∧ 1)) ∧ (¬(W ∨ 1))
(¬(W ∨ 1)) ∧ ((¬0) ∨ (¬1))
(¬(W ∨ 1)) ∧ (¬0)
(¬(... |
boolean | null | [
18902,
25,
1819,
83193,
55,
8,
12264,
101,
320,
83193,
36,
595,
12264,
101,
320,
83193,
7,
15,
75078,
220,
16,
4489,
3883,
512,
7,
83193,
7,
15,
75078,
220,
16,
595,
12264,
101,
1819,
83193,
55,
8,
12264,
101,
320,
83193,
36,
1192... | 1,481 | null | 637 | null | cl100k_base | 921 | null | null | null | Original: ((¬X) ∨ (¬E)) ∨ (¬(0 ∧ 1))
Options:
(¬(0 ∧ 1)) ∨ ((¬X) ∨ (¬E))
(¬X) ∨ ((¬E) ∨ (¬(0 ∧ 1)))
((¬X) ∨ (¬E)) ∨ ((¬0) ∨ (¬1))
((¬X) ∨ (¬E)) ∨ (¬0)
((¬X) ∨ (¬E)) ∨ (¬(1 ∧ 0))
((¬E) ∨ (¬X)) ∨ (¬(0 ∧ 1))
Chosen: (¬X) ∨ ((¬E) ∨ (¬(0 ∧ 1)))
Options:
((¬E) ∨ (¬(0 ∧ 1))) ∨ (¬X)
(¬X) ∨ ((¬(0 ∧ 1)) ∨ (¬E))
(¬X) ∨ ((¬E) ∨ ... |
boolean | null | [
18902,
25,
320,
83193,
7,
48,
75078,
1229,
595,
75078,
1819,
48,
75078,
220,
16,
8,
12264,
101,
320,
48,
12264,
101,
220,
16,
4489,
3883,
512,
1209,
48,
75078,
220,
16,
8,
12264,
101,
320,
48,
12264,
101,
220,
16,
595,
75078,
320,... | 1,482 | null | 873 | null | cl100k_base | 1,326 | null | null | null | Original: (¬(Q ∧ Q)) ∧ ((Q ∧ 1) ∨ (Q ∨ 1))
Options:
((Q ∧ 1) ∨ (Q ∨ 1)) ∧ (¬(Q ∧ Q))
((¬(Q ∧ Q)) ∧ (Q ∧ 1)) ∨ ((¬(Q ∧ Q)) ∧ (Q ∨ 1))
(¬(Q ∧ Q)) ∧ ((Q ∨ 1) ∨ (Q ∧ 1))
(¬(Q ∧ Q)) ∧ (((Q ∧ 1) ∨ Q) ∨ 1)
(¬(Q ∧ Q)) ∧ ((Q ∧ 1) ∨ 1)
(¬(Q ∧ Q)) ∧ ((Q ∧ 1) ∨ (1 ∨ Q))
(¬(Q ∧ Q)) ∧ (Q ∨ (Q ∨ 1))
(¬(Q ∧ Q)) ∧ ((1 ∧ Q) ∨ (Q ∨ 1))
... |
boolean | null | [
18902,
25,
97265,
1209,
40,
75078,
650,
8,
75078,
320,
83193,
40,
4489,
3883,
512,
7,
83193,
7,
40,
75078,
650,
595,
12264,
101,
320,
83193,
7,
83193,
40,
1192,
83193,
1209,
83193,
40,
8,
75078,
320,
40,
75078,
650,
1192,
83193,
7,
... | 1,483 | null | 270 | null | cl100k_base | 471 | null | null | null | Original: ¬((I ∧ V) ∧ (¬I))
Options:
(¬(I ∧ V)) ∨ (¬(¬I))
¬((¬I) ∧ (I ∧ V))
¬(I ∧ (V ∧ (¬I)))
¬((V ∧ I) ∧ (¬I))
Chosen: ¬((¬I) ∧ (I ∧ V))
Options:
(¬(¬I)) ∨ (¬(I ∧ V))
¬(((¬I) ∧ I) ∧ V)
¬((¬I) ∧ (V ∧ I))
Chosen: ¬(((¬I) ∧ I) ∧ V)
Options:
(¬((¬I) ∧ I)) ∨ (¬V)
¬(V ∧ ((¬I) ∧ I))
¬(0 ∧ V)
¬((I ∧ (¬I)) ∧ V)
Chosen: ¬((I... |
boolean | null | [
18902,
25,
1819,
37,
12264,
101,
435,
8,
75078,
320,
83193,
37,
595,
75078,
1819,
15,
12264,
101,
220,
15,
8,
12264,
101,
320,
83193,
15,
4489,
3883,
512,
1209,
15,
12264,
101,
220,
15,
8,
12264,
101,
320,
83193,
15,
595,
75078,
1... | 1,484 | null | 967 | null | cl100k_base | 1,439 | null | null | null | Original: ((F ∨ F) ∧ (¬F)) ∧ ((0 ∨ 0) ∨ (¬0))
Options:
((0 ∨ 0) ∨ (¬0)) ∧ ((F ∨ F) ∧ (¬F))
(F ∨ F) ∧ ((¬F) ∧ ((0 ∨ 0) ∨ (¬0)))
(((F ∨ F) ∧ (¬F)) ∧ (0 ∨ 0)) ∨ (((F ∨ F) ∧ (¬F)) ∧ (¬0))
((F ∨ F) ∧ (¬F)) ∧ ((¬0) ∨ (0 ∨ 0))
((F ∨ F) ∧ (¬F)) ∧ (0 ∨ (0 ∨ (¬0)))
((F ∨ F) ∧ (¬F)) ∧ ((0 ∨ 0) ∨ 1)
((F ∨ F) ∧ (¬F)) ∧ (0 ∨ (¬0))
... |
boolean | null | [
18902,
25,
97265,
7,
83193,
7,
54,
75078,
220,
15,
4489,
3883,
512,
54,
75078,
220,
15,
198,
83193,
1209,
83193,
54,
8,
12264,
101,
320,
83193,
15,
1192,
83193,
7,
83193,
15,
340,
83193,
7,
83193,
7,
15,
75078,
468,
1192,
1163,
84... | 1,485 | null | 95 | null | cl100k_base | 166 | null | null | null | Original: ¬(¬(W ∧ 0))
Options:
W ∧ 0
¬((¬W) ∨ (¬0))
¬(¬0)
¬(¬(0 ∧ W))
Chosen: ¬(¬(0 ∧ W))
Options:
0 ∧ W
¬((¬0) ∨ (¬W))
¬(¬0)
Chosen: ¬(¬0)
Options:
0
¬1
Chosen: 0 |
boolean | null | [
18902,
25,
320,
83193,
7,
83193,
44,
595,
75078,
320,
83193,
7,
83193,
16,
4489,
3883,
512,
7,
83193,
7,
83193,
16,
595,
75078,
320,
83193,
7,
83193,
44,
1192,
7,
83193,
7,
83193,
44,
595,
75078,
220,
16,
198,
7,
83193,
7,
83193,
... | 1,486 | null | 151 | null | cl100k_base | 253 | null | null | null | Original: (¬(¬M)) ∧ (¬(¬1))
Options:
(¬(¬1)) ∧ (¬(¬M))
(¬(¬M)) ∧ 1
(¬(¬M)) ∧ (¬0)
M ∧ (¬(¬1))
Chosen: (¬(¬M)) ∧ (¬0)
Options:
(¬0) ∧ (¬(¬M))
(¬(¬M)) ∧ 1
M ∧ (¬0)
Chosen: (¬(¬M)) ∧ 1
Options:
¬(¬M)
1 ∧ (¬(¬M))
M ∧ 1
Chosen: ¬(¬M)
Options:
M
Chosen: M |
boolean | null | [
18902,
25,
1819,
48,
12264,
101,
1229,
8,
75078,
320,
55,
75078,
220,
16,
595,
12264,
101,
1819,
48,
75078,
220,
16,
8,
12264,
101,
320,
83193,
16,
4489,
3883,
512,
1209,
48,
75078,
220,
16,
8,
12264,
101,
320,
83193,
16,
595,
122... | 1,487 | null | 1,319 | null | cl100k_base | 2,016 | null | null | null | Original: ((Q ∨ Q) ∧ (X ∧ 1)) ∨ ((Q ∧ 1) ∨ (¬1))
Options:
((Q ∧ 1) ∨ (¬1)) ∨ ((Q ∨ Q) ∧ (X ∧ 1))
(((Q ∨ Q) ∧ (X ∧ 1)) ∨ (Q ∧ 1)) ∨ (¬1)
((Q ∨ Q) ∧ (X ∧ 1)) ∨ ((¬1) ∨ (Q ∧ 1))
((Q ∨ Q) ∧ (X ∧ 1)) ∨ ((Q ∧ 1) ∨ 0)
((Q ∨ Q) ∧ (X ∧ 1)) ∨ (Q ∨ (¬1))
((Q ∨ Q) ∧ (X ∧ 1)) ∨ ((1 ∧ Q) ∨ (¬1))
((X ∧ 1) ∧ (Q ∨ Q)) ∨ ((Q ∧ 1) ∨ (¬1... |
boolean | null | [
18902,
25,
1819,
16,
75078,
393,
8,
75078,
320,
33,
12264,
101,
393,
595,
75078,
1819,
83193,
16,
8,
12264,
101,
320,
33,
75078,
220,
16,
4489,
3883,
512,
1209,
83193,
16,
8,
12264,
101,
320,
33,
75078,
220,
16,
595,
75078,
1819,
... | 1,488 | null | 3,452 | null | cl100k_base | 5,751 | null | null | null | Original: ((1 ∧ P) ∧ (B ∨ P)) ∧ ((¬1) ∨ (B ∧ 1))
Options:
((¬1) ∨ (B ∧ 1)) ∧ ((1 ∧ P) ∧ (B ∨ P))
(1 ∧ P) ∧ ((B ∨ P) ∧ ((¬1) ∨ (B ∧ 1)))
(((1 ∧ P) ∧ (B ∨ P)) ∧ (¬1)) ∨ (((1 ∧ P) ∧ (B ∨ P)) ∧ (B ∧ 1))
((1 ∧ P) ∧ (B ∨ P)) ∧ ((B ∧ 1) ∨ (¬1))
((1 ∧ P) ∧ (B ∨ P)) ∧ (((¬1) ∨ B) ∧ ((¬1) ∨ 1))
((1 ∧ P) ∧ (B ∨ P)) ∧ ((¬1) ∨ B)
... |
boolean | null | [
18902,
25,
97265,
1209,
15,
12264,
101,
480,
8,
12264,
101,
320,
38,
12264,
101,
220,
15,
4489,
3883,
512,
7,
83193,
7,
15,
12264,
101,
480,
595,
75078,
320,
83193,
7,
38,
12264,
101,
220,
15,
1192,
83193,
1209,
38,
12264,
101,
22... | 1,489 | null | 301 | null | cl100k_base | 447 | null | null | null | Original: ¬((0 ∨ G) ∨ (G ∨ 0))
Options:
(¬(0 ∨ G)) ∧ (¬(G ∨ 0))
¬((G ∨ 0) ∨ (0 ∨ G))
¬(((0 ∨ G) ∨ G) ∨ 0)
¬(0 ∨ (G ∨ (G ∨ 0)))
¬((0 ∨ G) ∨ G)
¬((0 ∨ G) ∨ (0 ∨ G))
¬(G ∨ (G ∨ 0))
¬((G ∨ 0) ∨ (G ∨ 0))
Chosen: ¬((0 ∨ G) ∨ G)
Options:
(¬(0 ∨ G)) ∧ (¬G)
¬(G ∨ (0 ∨ G))
¬(0 ∨ (G ∨ G))
¬(G ∨ G)
¬((G ∨ 0) ∨ G)
Chosen: ¬((G ∨ ... |
boolean | null | [
18902,
25,
1819,
83193,
16,
8,
75078,
320,
83193,
15,
595,
75078,
320,
83193,
7,
83193,
15,
4489,
3883,
512,
7,
83193,
7,
83193,
15,
595,
75078,
1819,
83193,
16,
8,
75078,
320,
83193,
15,
1192,
7,
83193,
16,
8,
75078,
1819,
83193,
... | 1,490 | null | 395 | null | cl100k_base | 610 | null | null | null | Original: ((¬1) ∧ (¬0)) ∧ (¬(¬0))
Options:
(¬(¬0)) ∧ ((¬1) ∧ (¬0))
(¬1) ∧ ((¬0) ∧ (¬(¬0)))
((¬1) ∧ (¬0)) ∧ 0
((¬1) ∧ (¬0)) ∧ (¬1)
((¬0) ∧ (¬1)) ∧ (¬(¬0))
((¬1) ∧ 1) ∧ (¬(¬0))
(0 ∧ (¬0)) ∧ (¬(¬0))
Chosen: ((¬1) ∧ (¬0)) ∧ (¬1)
Options:
(¬1) ∧ ((¬1) ∧ (¬0))
(¬1) ∧ ((¬0) ∧ (¬1))
((¬1) ∧ (¬0)) ∧ 0
((¬0) ∧ (¬1)) ∧ (¬1)
((¬... |
boolean | null | [
18902,
25,
1819,
15,
12264,
101,
220,
16,
8,
12264,
101,
320,
40,
12264,
101,
423,
595,
75078,
1819,
16,
12264,
101,
358,
8,
12264,
101,
320,
83193,
16,
4489,
3883,
512,
1209,
16,
12264,
101,
358,
8,
12264,
101,
320,
83193,
16,
59... | 1,491 | null | 971 | null | cl100k_base | 1,378 | null | null | null | Original: ((0 ∨ 1) ∨ (I ∨ D)) ∧ ((1 ∨ I) ∨ (¬1))
Options:
((1 ∨ I) ∨ (¬1)) ∧ ((0 ∨ 1) ∨ (I ∨ D))
(((0 ∨ 1) ∨ (I ∨ D)) ∧ (1 ∨ I)) ∨ (((0 ∨ 1) ∨ (I ∨ D)) ∧ (¬1))
((0 ∨ 1) ∨ (I ∨ D)) ∧ ((¬1) ∨ (1 ∨ I))
((0 ∨ 1) ∨ (I ∨ D)) ∧ (1 ∨ (I ∨ (¬1)))
((0 ∨ 1) ∨ (I ∨ D)) ∧ ((1 ∨ I) ∨ 0)
((0 ∨ 1) ∨ (I ∨ D)) ∧ (1 ∨ (¬1))
((0 ∨ 1) ∨ (... |
boolean | null | [
18902,
25,
1819,
45,
12264,
101,
220,
16,
8,
75078,
320,
16,
12264,
101,
386,
595,
12264,
101,
1819,
83193,
15,
8,
12264,
101,
320,
44,
75078,
220,
15,
4489,
3883,
512,
1209,
83193,
15,
8,
12264,
101,
320,
44,
75078,
220,
15,
595,... | 1,492 | null | 2,399 | null | cl100k_base | 3,399 | null | null | null | Original: ((N ∨ 1) ∧ (1 ∨ M)) ∨ ((¬0) ∨ (M ∧ 0))
Options:
((¬0) ∨ (M ∧ 0)) ∨ ((N ∨ 1) ∧ (1 ∨ M))
(((N ∨ 1) ∧ (1 ∨ M)) ∨ (¬0)) ∨ (M ∧ 0)
((N ∨ 1) ∧ (1 ∨ M)) ∨ ((M ∧ 0) ∨ (¬0))
((N ∨ 1) ∧ (1 ∨ M)) ∨ (((¬0) ∨ M) ∧ ((¬0) ∨ 0))
((N ∨ 1) ∧ (1 ∨ M)) ∨ ((¬0) ∨ 0)
((N ∨ 1) ∧ (1 ∨ M)) ∨ ((¬0) ∨ (0 ∧ M))
((N ∨ 1) ∧ (1 ∨ M)) ∨ (1... |
boolean | null | [
18902,
25,
97265,
1209,
83193,
16,
8,
75078,
320,
55,
75078,
220,
16,
4489,
3883,
512,
7,
83193,
7,
83193,
16,
595,
12264,
101,
320,
83193,
7,
55,
75078,
220,
16,
1192,
83193,
1209,
55,
75078,
220,
16,
8,
75078,
320,
83193,
16,
11... | 1,493 | null | 256 | null | cl100k_base | 429 | null | null | null | Original: ¬((¬1) ∧ (X ∧ 1))
Options:
(¬(¬1)) ∨ (¬(X ∧ 1))
¬((X ∧ 1) ∧ (¬1))
¬(((¬1) ∧ X) ∧ 1)
¬((¬1) ∧ X)
¬((¬1) ∧ (1 ∧ X))
¬(0 ∧ (X ∧ 1))
Chosen: ¬((¬1) ∧ (1 ∧ X))
Options:
(¬(¬1)) ∨ (¬(1 ∧ X))
¬((1 ∧ X) ∧ (¬1))
¬(((¬1) ∧ 1) ∧ X)
¬((¬1) ∧ X)
¬(0 ∧ (1 ∧ X))
Chosen: ¬((¬1) ∧ X)
Options:
(¬(¬1)) ∨ (¬X)
¬(X ∧ (¬1))
¬(0... |
boolean | null | [
18902,
25,
1819,
15,
12264,
101,
220,
15,
8,
75078,
320,
34,
12264,
101,
549,
595,
12264,
101,
1819,
52,
75078,
549,
8,
12264,
101,
320,
52,
12264,
101,
549,
4489,
3883,
512,
1209,
52,
75078,
549,
8,
12264,
101,
320,
52,
12264,
10... | 1,494 | null | 829 | null | cl100k_base | 1,269 | null | null | null | Original: ((0 ∨ 0) ∧ (C ∨ U)) ∨ ((U ∧ U) ∨ (U ∨ U))
Options:
((U ∧ U) ∨ (U ∨ U)) ∨ ((0 ∨ 0) ∧ (C ∨ U))
(((0 ∨ 0) ∧ (C ∨ U)) ∨ (U ∧ U)) ∨ (U ∨ U)
((0 ∨ 0) ∧ (C ∨ U)) ∨ ((U ∨ U) ∨ (U ∧ U))
((0 ∨ 0) ∧ (C ∨ U)) ∨ (((U ∧ U) ∨ U) ∨ U)
((0 ∨ 0) ∧ (C ∨ U)) ∨ ((U ∧ U) ∨ U)
((0 ∨ 0) ∧ (C ∨ U)) ∨ (U ∨ (U ∨ U))
((C ∨ U) ∧ (0 ∨ 0)... |
boolean | null | [
18902,
25,
1819,
83193,
16,
8,
75078,
320,
33,
75078,
507,
595,
75078,
1819,
16,
75078,
220,
16,
8,
12264,
101,
320,
15,
12264,
101,
426,
4489,
3883,
512,
1209,
16,
75078,
220,
16,
8,
12264,
101,
320,
15,
12264,
101,
426,
595,
750... | 1,495 | null | 1,215 | null | cl100k_base | 1,977 | null | null | null | Original: ((¬1) ∧ (B ∧ O)) ∧ ((1 ∧ 1) ∨ (0 ∨ B))
Options:
((1 ∧ 1) ∨ (0 ∨ B)) ∧ ((¬1) ∧ (B ∧ O))
(¬1) ∧ ((B ∧ O) ∧ ((1 ∧ 1) ∨ (0 ∨ B)))
(((¬1) ∧ (B ∧ O)) ∧ (1 ∧ 1)) ∨ (((¬1) ∧ (B ∧ O)) ∧ (0 ∨ B))
((¬1) ∧ (B ∧ O)) ∧ ((0 ∨ B) ∨ (1 ∧ 1))
((¬1) ∧ (B ∧ O)) ∧ (((1 ∧ 1) ∨ 0) ∨ B)
((¬1) ∧ (B ∧ O)) ∧ ((1 ∧ 1) ∨ B)
((¬1) ∧ (B ∧... |
boolean | null | [
18902,
25,
1819,
45,
12264,
101,
452,
8,
75078,
320,
45,
12264,
101,
220,
16,
595,
75078,
1819,
83193,
15,
8,
12264,
101,
320,
83193,
16,
4489,
3883,
512,
1209,
83193,
15,
8,
12264,
101,
320,
83193,
16,
595,
75078,
1819,
45,
12264,
... | 1,496 | null | 1,005 | null | cl100k_base | 1,506 | null | null | null | Original: ((N ∨ N) ∧ (N ∨ 1)) ∧ ((¬0) ∨ (¬1))
Options:
((¬0) ∨ (¬1)) ∧ ((N ∨ N) ∧ (N ∨ 1))
(N ∨ N) ∧ ((N ∨ 1) ∧ ((¬0) ∨ (¬1)))
(((N ∨ N) ∧ (N ∨ 1)) ∧ (¬0)) ∨ (((N ∨ N) ∧ (N ∨ 1)) ∧ (¬1))
((N ∨ N) ∧ (N ∨ 1)) ∧ ((¬1) ∨ (¬0))
((N ∨ N) ∧ (N ∨ 1)) ∧ ((¬0) ∨ 0)
((N ∨ N) ∧ (N ∨ 1)) ∧ (1 ∨ (¬1))
((N ∨ 1) ∧ (N ∨ N)) ∧ ((¬0) ∨ ... |
boolean | null | [
18902,
25,
97265,
1209,
46,
12264,
101,
220,
16,
8,
12264,
101,
320,
46,
12264,
101,
328,
4489,
3883,
512,
7,
83193,
7,
46,
12264,
101,
220,
16,
595,
75078,
320,
83193,
7,
46,
12264,
101,
328,
1192,
83193,
1209,
46,
12264,
101,
32... | 1,497 | null | 280 | null | cl100k_base | 424 | null | null | null | Original: ¬((O ∨ 1) ∨ (O ∨ S))
Options:
(¬(O ∨ 1)) ∧ (¬(O ∨ S))
¬((O ∨ S) ∨ (O ∨ 1))
¬(((O ∨ 1) ∨ O) ∨ S)
¬(O ∨ (1 ∨ (O ∨ S)))
¬((O ∨ 1) ∨ (S ∨ O))
¬(1 ∨ (O ∨ S))
¬((1 ∨ O) ∨ (O ∨ S))
Chosen: ¬(O ∨ (1 ∨ (O ∨ S)))
Options:
(¬O) ∧ (¬(1 ∨ (O ∨ S)))
¬((1 ∨ (O ∨ S)) ∨ O)
¬(O ∨ 1)
¬(O ∨ ((O ∨ S) ∨ 1))
¬(O ∨ ((1 ∨ O) ∨ S))
... |
boolean | null | [
18902,
25,
320,
83193,
7,
35,
12264,
101,
220,
16,
595,
75078,
1819,
15,
75078,
423,
8,
75078,
320,
83193,
16,
4489,
3883,
512,
1209,
15,
75078,
423,
8,
75078,
320,
83193,
16,
595,
75078,
320,
83193,
7,
35,
12264,
101,
220,
16,
11... | 1,498 | null | 687 | null | cl100k_base | 1,070 | null | null | null | Original: (¬(D ∨ 1)) ∧ ((0 ∧ D) ∧ (¬1))
Options:
((0 ∧ D) ∧ (¬1)) ∧ (¬(D ∨ 1))
((¬(D ∨ 1)) ∧ (0 ∧ D)) ∧ (¬1)
(¬(D ∨ 1)) ∧ ((¬1) ∧ (0 ∧ D))
(¬(D ∨ 1)) ∧ (0 ∧ (D ∧ (¬1)))
(¬(D ∨ 1)) ∧ ((0 ∧ D) ∧ 0)
(¬(D ∨ 1)) ∧ (0 ∧ (¬1))
(¬(D ∨ 1)) ∧ ((D ∧ 0) ∧ (¬1))
((¬D) ∧ (¬1)) ∧ ((0 ∧ D) ∧ (¬1))
(¬1) ∧ ((0 ∧ D) ∧ (¬1))
(¬(1 ∨ D)) ∧... |
boolean | null | [
18902,
25,
97265,
1209,
34,
12264,
101,
220,
15,
8,
75078,
320,
83193,
34,
4489,
3883,
512,
7,
83193,
7,
34,
12264,
101,
220,
15,
595,
12264,
101,
320,
83193,
7,
83193,
34,
1192,
83193,
1209,
83193,
34,
8,
75078,
320,
34,
12264,
1... | 1,499 | null | 146 | null | cl100k_base | 247 | null | null | null | Original: ¬((C ∨ 0) ∧ (¬C))
Options:
(¬(C ∨ 0)) ∨ (¬(¬C))
¬((¬C) ∧ (C ∨ 0))
¬(C ∧ (¬C))
¬((0 ∨ C) ∧ (¬C))
Chosen: ¬(C ∧ (¬C))
Options:
(¬C) ∨ (¬(¬C))
¬0
¬((¬C) ∧ C)
Chosen: ¬((¬C) ∧ C)
Options:
(¬(¬C)) ∨ (¬C)
¬0
Chosen: ¬0
Options:
1
Chosen: 1 |
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