sample_id int64 1 200k | sequent stringlengths 6 112 | rule stringclasses 11
values | rule_idx int64 0 10 | pivot int64 0 8 | target_value float64 1 1 | root_sequent stringlengths 6 112 | trace_step int64 1 1 | total_trace_steps int64 1 1 | input_ids listlengths 6 109 | token_length int64 6 109 |
|---|---|---|---|---|---|---|---|---|---|---|
1 | (S => (P & Q)), S |- P | L_IMP | 2 | 0 | 1 | (S => (P & Q)), S |- P | 1 | 1 | [
84,
67,
22,
6,
22,
84,
64,
22,
7,
22,
65,
85,
85,
86,
22,
67,
22,
8,
92,
22,
64
] | 21 |
2 | S |- S | AXIOM | 0 | 0 | 1 | S |- S | 1 | 1 | [
67,
22,
8,
92,
22,
67
] | 6 |
3 | (P & Q), S |- P | L_AND | 4 | 0 | 1 | (P & Q), S |- P | 1 | 1 | [
84,
64,
22,
7,
22,
65,
85,
86,
22,
67,
22,
8,
92,
22,
64
] | 15 |
4 | P, Q, S |- P | AXIOM | 0 | 0 | 1 | P, Q, S |- P | 1 | 1 | [
64,
86,
22,
65,
86,
22,
67,
22,
8,
92,
22,
64
] | 12 |
5 | ((P & Q) => R) |- (P => (Q => R)) | R_IMP | 1 | 0 | 1 | ((P & Q) => R) |- (P => (Q => R)) | 1 | 1 | [
84,
84,
64,
22,
7,
22,
65,
85,
22,
6,
22,
66,
85,
22,
8,
92,
22,
84,
64,
22,
6,
22,
84,
65,
22,
6,
22,
66,
85,
85
] | 30 |
6 | P, ((P & Q) => R) |- (Q => R) | R_IMP | 1 | 0 | 1 | P, ((P & Q) => R) |- (Q => R) | 1 | 1 | [
64,
86,
22,
84,
84,
64,
22,
7,
22,
65,
85,
22,
6,
22,
66,
85,
22,
8,
92,
22,
84,
65,
22,
6,
22,
66,
85
] | 27 |
7 | Q, P, ((P & Q) => R) |- R | L_IMP | 2 | 2 | 1 | Q, P, ((P & Q) => R) |- R | 1 | 1 | [
65,
86,
22,
64,
86,
22,
84,
84,
64,
22,
7,
22,
65,
85,
22,
6,
22,
66,
85,
22,
8,
92,
22,
66
] | 24 |
8 | Q, P |- (P & Q) | R_AND | 3 | 0 | 1 | Q, P |- (P & Q) | 1 | 1 | [
65,
86,
22,
64,
22,
8,
92,
22,
84,
64,
22,
7,
22,
65,
85
] | 15 |
9 | Q, P |- P | AXIOM | 0 | 0 | 1 | Q, P |- P | 1 | 1 | [
65,
86,
22,
64,
22,
8,
92,
22,
64
] | 9 |
10 | Q, P |- Q | AXIOM | 0 | 0 | 1 | Q, P |- Q | 1 | 1 | [
65,
86,
22,
64,
22,
8,
92,
22,
65
] | 9 |
11 | R, Q, P |- R | AXIOM | 0 | 0 | 1 | R, Q, P |- R | 1 | 1 | [
66,
86,
22,
65,
86,
22,
64,
22,
8,
92,
22,
66
] | 12 |
12 | Q, S, ~Q, ~T |- T | L_NOT | 9 | 2 | 1 | Q, S, ~Q, ~T |- T | 1 | 1 | [
65,
86,
22,
67,
86,
22,
9,
65,
86,
22,
9,
68,
22,
8,
92,
22,
68
] | 17 |
13 | Q, S, ~T |- Q | AXIOM | 0 | 0 | 1 | Q, S, ~T |- Q | 1 | 1 | [
65,
86,
22,
67,
86,
22,
9,
68,
22,
8,
92,
22,
65
] | 13 |
14 | ((T & S) => P) |- (T => (S => P)) | R_IMP | 1 | 0 | 1 | ((T & S) => P) |- (T => (S => P)) | 1 | 1 | [
84,
84,
68,
22,
7,
22,
67,
85,
22,
6,
22,
64,
85,
22,
8,
92,
22,
84,
68,
22,
6,
22,
84,
67,
22,
6,
22,
64,
85,
85
] | 30 |
15 | T, ((T & S) => P) |- (S => P) | R_IMP | 1 | 0 | 1 | T, ((T & S) => P) |- (S => P) | 1 | 1 | [
68,
86,
22,
84,
84,
68,
22,
7,
22,
67,
85,
22,
6,
22,
64,
85,
22,
8,
92,
22,
84,
67,
22,
6,
22,
64,
85
] | 27 |
16 | S, T, ((T & S) => P) |- P | L_IMP | 2 | 2 | 1 | S, T, ((T & S) => P) |- P | 1 | 1 | [
67,
86,
22,
68,
86,
22,
84,
84,
68,
22,
7,
22,
67,
85,
22,
6,
22,
64,
85,
22,
8,
92,
22,
64
] | 24 |
17 | S, T |- (T & S) | R_AND | 3 | 0 | 1 | S, T |- (T & S) | 1 | 1 | [
67,
86,
22,
68,
22,
8,
92,
22,
84,
68,
22,
7,
22,
67,
85
] | 15 |
18 | S, T |- T | AXIOM | 0 | 0 | 1 | S, T |- T | 1 | 1 | [
67,
86,
22,
68,
22,
8,
92,
22,
68
] | 9 |
19 | S, T |- S | AXIOM | 0 | 0 | 1 | S, T |- S | 1 | 1 | [
67,
86,
22,
68,
22,
8,
92,
22,
67
] | 9 |
20 | P, S, T |- P | AXIOM | 0 | 0 | 1 | P, S, T |- P | 1 | 1 | [
64,
86,
22,
67,
86,
22,
68,
22,
8,
92,
22,
64
] | 12 |
21 | (~T & (S & T)), R |- T | L_AND | 4 | 0 | 1 | (~T & (S & T)), R |- T | 1 | 1 | [
84,
9,
68,
22,
7,
22,
84,
67,
22,
7,
22,
68,
85,
85,
86,
22,
66,
22,
8,
92,
22,
68
] | 22 |
22 | ~T, (S & T), R |- T | L_NOT | 9 | 0 | 1 | ~T, (S & T), R |- T | 1 | 1 | [
9,
68,
86,
22,
84,
67,
22,
7,
22,
68,
85,
86,
22,
66,
22,
8,
92,
22,
68
] | 19 |
23 | (S & T), R |- T | L_AND | 4 | 0 | 1 | (S & T), R |- T | 1 | 1 | [
84,
67,
22,
7,
22,
68,
85,
86,
22,
66,
22,
8,
92,
22,
68
] | 15 |
24 | S, T, R |- T | AXIOM | 0 | 0 | 1 | S, T, R |- T | 1 | 1 | [
67,
86,
22,
68,
86,
22,
66,
22,
8,
92,
22,
68
] | 12 |
25 | ~P, P |- (Q => T) | R_IMP | 1 | 0 | 1 | ~P, P |- (Q => T) | 1 | 1 | [
9,
64,
86,
22,
64,
22,
8,
92,
22,
84,
65,
22,
6,
22,
68,
85
] | 16 |
26 | Q, ~P, P |- T | L_NOT | 9 | 1 | 1 | Q, ~P, P |- T | 1 | 1 | [
65,
86,
22,
9,
64,
86,
22,
64,
22,
8,
92,
22,
68
] | 13 |
27 | Q, P |- P | AXIOM | 0 | 0 | 1 | Q, P |- P | 1 | 1 | [
65,
86,
22,
64,
22,
8,
92,
22,
64
] | 9 |
28 | (S & (Q | P)) |- ((S & Q) | (S & P)) | L_AND | 4 | 0 | 1 | (S & (Q | P)) |- ((S & Q) | (S & P)) | 1 | 1 | [
84,
67,
22,
7,
22,
84,
65,
22,
8,
22,
64,
85,
85,
22,
8,
92,
22,
84,
84,
67,
22,
7,
22,
65,
85,
22,
8,
22,
84,
67,
22,
7,
22,
64,
85,
85
] | 36 |
29 | S, (Q | P) |- ((S & Q) | (S & P)) | L_OR | 7 | 1 | 1 | S, (Q | P) |- ((S & Q) | (S & P)) | 1 | 1 | [
67,
86,
22,
84,
65,
22,
8,
22,
64,
85,
22,
8,
92,
22,
84,
84,
67,
22,
7,
22,
65,
85,
22,
8,
22,
84,
67,
22,
7,
22,
64,
85,
85
] | 33 |
30 | Q, S |- ((S & Q) | (S & P)) | R_OR_1 | 5 | 0 | 1 | Q, S |- ((S & Q) | (S & P)) | 1 | 1 | [
65,
86,
22,
67,
22,
8,
92,
22,
84,
84,
67,
22,
7,
22,
65,
85,
22,
8,
22,
84,
67,
22,
7,
22,
64,
85,
85
] | 27 |
31 | Q, S |- (S & Q) | R_AND | 3 | 0 | 1 | Q, S |- (S & Q) | 1 | 1 | [
65,
86,
22,
67,
22,
8,
92,
22,
84,
67,
22,
7,
22,
65,
85
] | 15 |
32 | Q, S |- S | AXIOM | 0 | 0 | 1 | Q, S |- S | 1 | 1 | [
65,
86,
22,
67,
22,
8,
92,
22,
67
] | 9 |
33 | Q, S |- Q | AXIOM | 0 | 0 | 1 | Q, S |- Q | 1 | 1 | [
65,
86,
22,
67,
22,
8,
92,
22,
65
] | 9 |
34 | P, S |- ((S & Q) | (S & P)) | R_OR_2 | 6 | 0 | 1 | P, S |- ((S & Q) | (S & P)) | 1 | 1 | [
64,
86,
22,
67,
22,
8,
92,
22,
84,
84,
67,
22,
7,
22,
65,
85,
22,
8,
22,
84,
67,
22,
7,
22,
64,
85,
85
] | 27 |
35 | P, S |- (S & P) | R_AND | 3 | 0 | 1 | P, S |- (S & P) | 1 | 1 | [
64,
86,
22,
67,
22,
8,
92,
22,
84,
67,
22,
7,
22,
64,
85
] | 15 |
36 | P, S |- S | AXIOM | 0 | 0 | 1 | P, S |- S | 1 | 1 | [
64,
86,
22,
67,
22,
8,
92,
22,
67
] | 9 |
37 | P, S |- P | AXIOM | 0 | 0 | 1 | P, S |- P | 1 | 1 | [
64,
86,
22,
67,
22,
8,
92,
22,
64
] | 9 |
38 | ~(T | R) |- (~T & ~R) | R_AND | 3 | 0 | 1 | ~(T | R) |- (~T & ~R) | 1 | 1 | [
9,
84,
68,
22,
8,
22,
66,
85,
22,
8,
92,
22,
84,
9,
68,
22,
7,
22,
9,
66,
85
] | 21 |
39 | ~(T | R) |- ~T | R_NOT | 8 | 0 | 1 | ~(T | R) |- ~T | 1 | 1 | [
9,
84,
68,
22,
8,
22,
66,
85,
22,
8,
92,
22,
9,
68
] | 14 |
40 | T, ~(T | R) |- 0 | L_NOT | 9 | 1 | 1 | T, ~(T | R) |- 0 | 1 | 1 | [
68,
86,
22,
9,
84,
68,
22,
8,
22,
66,
85,
22,
8,
92,
22,
10
] | 16 |
41 | T |- (T | R) | R_OR_1 | 5 | 0 | 1 | T |- (T | R) | 1 | 1 | [
68,
22,
8,
92,
22,
84,
68,
22,
8,
22,
66,
85
] | 12 |
42 | T |- T | AXIOM | 0 | 0 | 1 | T |- T | 1 | 1 | [
68,
22,
8,
92,
22,
68
] | 6 |
43 | ~(T | R) |- ~R | R_NOT | 8 | 0 | 1 | ~(T | R) |- ~R | 1 | 1 | [
9,
84,
68,
22,
8,
22,
66,
85,
22,
8,
92,
22,
9,
66
] | 14 |
44 | R, ~(T | R) |- 0 | L_NOT | 9 | 1 | 1 | R, ~(T | R) |- 0 | 1 | 1 | [
66,
86,
22,
9,
84,
68,
22,
8,
22,
66,
85,
22,
8,
92,
22,
10
] | 16 |
45 | R |- (T | R) | R_OR_2 | 6 | 0 | 1 | R |- (T | R) | 1 | 1 | [
66,
22,
8,
92,
22,
84,
68,
22,
8,
22,
66,
85
] | 12 |
46 | R |- R | AXIOM | 0 | 0 | 1 | R |- R | 1 | 1 | [
66,
22,
8,
92,
22,
66
] | 6 |
47 | Q, P, S, Q |- (R => R) | R_IMP | 1 | 0 | 1 | Q, P, S, Q |- (R => R) | 1 | 1 | [
65,
86,
22,
64,
86,
22,
67,
86,
22,
65,
22,
8,
92,
22,
84,
66,
22,
6,
22,
66,
85
] | 21 |
48 | R, Q, P, S, Q |- R | AXIOM | 0 | 0 | 1 | R, Q, P, S, Q |- R | 1 | 1 | [
66,
86,
22,
65,
86,
22,
64,
86,
22,
67,
86,
22,
65,
22,
8,
92,
22,
66
] | 18 |
49 | S, ~S |- (P & P) | R_AND | 3 | 0 | 1 | S, ~S |- (P & P) | 1 | 1 | [
67,
86,
22,
9,
67,
22,
8,
92,
22,
84,
64,
22,
7,
22,
64,
85
] | 16 |
50 | S, ~S |- P | L_NOT | 9 | 1 | 1 | S, ~S |- P | 1 | 1 | [
67,
86,
22,
9,
67,
22,
8,
92,
22,
64
] | 10 |
51 | S |- S | AXIOM | 0 | 0 | 1 | S |- S | 1 | 1 | [
67,
22,
8,
92,
22,
67
] | 6 |
52 | S, ~S |- P | L_NOT | 9 | 1 | 1 | S, ~S |- P | 1 | 1 | [
67,
86,
22,
9,
67,
22,
8,
92,
22,
64
] | 10 |
53 | S |- S | AXIOM | 0 | 0 | 1 | S |- S | 1 | 1 | [
67,
22,
8,
92,
22,
67
] | 6 |
54 | ~(S | P) |- (~S & ~P) | R_AND | 3 | 0 | 1 | ~(S | P) |- (~S & ~P) | 1 | 1 | [
9,
84,
67,
22,
8,
22,
64,
85,
22,
8,
92,
22,
84,
9,
67,
22,
7,
22,
9,
64,
85
] | 21 |
55 | ~(S | P) |- ~S | R_NOT | 8 | 0 | 1 | ~(S | P) |- ~S | 1 | 1 | [
9,
84,
67,
22,
8,
22,
64,
85,
22,
8,
92,
22,
9,
67
] | 14 |
56 | S, ~(S | P) |- 0 | L_NOT | 9 | 1 | 1 | S, ~(S | P) |- 0 | 1 | 1 | [
67,
86,
22,
9,
84,
67,
22,
8,
22,
64,
85,
22,
8,
92,
22,
10
] | 16 |
57 | S |- (S | P) | R_OR_1 | 5 | 0 | 1 | S |- (S | P) | 1 | 1 | [
67,
22,
8,
92,
22,
84,
67,
22,
8,
22,
64,
85
] | 12 |
58 | S |- S | AXIOM | 0 | 0 | 1 | S |- S | 1 | 1 | [
67,
22,
8,
92,
22,
67
] | 6 |
59 | ~(S | P) |- ~P | R_NOT | 8 | 0 | 1 | ~(S | P) |- ~P | 1 | 1 | [
9,
84,
67,
22,
8,
22,
64,
85,
22,
8,
92,
22,
9,
64
] | 14 |
60 | P, ~(S | P) |- 0 | L_NOT | 9 | 1 | 1 | P, ~(S | P) |- 0 | 1 | 1 | [
64,
86,
22,
9,
84,
67,
22,
8,
22,
64,
85,
22,
8,
92,
22,
10
] | 16 |
61 | P |- (S | P) | R_OR_2 | 6 | 0 | 1 | P |- (S | P) | 1 | 1 | [
64,
22,
8,
92,
22,
84,
67,
22,
8,
22,
64,
85
] | 12 |
62 | P |- P | AXIOM | 0 | 0 | 1 | P |- P | 1 | 1 | [
64,
22,
8,
92,
22,
64
] | 6 |
63 | T, Q, ~T |- P | L_NOT | 9 | 2 | 1 | T, Q, ~T |- P | 1 | 1 | [
68,
86,
22,
65,
86,
22,
9,
68,
22,
8,
92,
22,
64
] | 13 |
64 | T, Q |- T | AXIOM | 0 | 0 | 1 | T, Q |- T | 1 | 1 | [
68,
86,
22,
65,
22,
8,
92,
22,
68
] | 9 |
65 | 0 |- ~~(~~T => T) | R_NOT | 8 | 0 | 1 | 0 |- ~~(~~T => T) | 1 | 1 | [
10,
22,
8,
92,
22,
9,
9,
84,
9,
9,
68,
22,
6,
22,
68,
85
] | 16 |
66 | ~(~~T => T) |- 0 | L_CONTR | 10 | 0 | 1 | ~(~~T => T) |- 0 | 1 | 1 | [
9,
84,
9,
9,
68,
22,
6,
22,
68,
85,
22,
8,
92,
22,
10
] | 15 |
67 | ~(~~T => T), ~(~~T => T) |- 0 | L_NOT | 9 | 0 | 1 | ~(~~T => T), ~(~~T => T) |- 0 | 1 | 1 | [
9,
84,
9,
9,
68,
22,
6,
22,
68,
85,
86,
22,
9,
84,
9,
9,
68,
22,
6,
22,
68,
85,
22,
8,
92,
22,
10
] | 27 |
68 | ~(~~T => T) |- (~~T => T) | R_IMP | 1 | 0 | 1 | ~(~~T => T) |- (~~T => T) | 1 | 1 | [
9,
84,
9,
9,
68,
22,
6,
22,
68,
85,
22,
8,
92,
22,
84,
9,
9,
68,
22,
6,
22,
68,
85
] | 23 |
69 | ~~T, ~(~~T => T) |- T | L_NOT | 9 | 0 | 1 | ~~T, ~(~~T => T) |- T | 1 | 1 | [
9,
9,
68,
86,
22,
9,
84,
9,
9,
68,
22,
6,
22,
68,
85,
22,
8,
92,
22,
68
] | 20 |
70 | ~(~~T => T) |- ~T | R_NOT | 8 | 0 | 1 | ~(~~T => T) |- ~T | 1 | 1 | [
9,
84,
9,
9,
68,
22,
6,
22,
68,
85,
22,
8,
92,
22,
9,
68
] | 16 |
71 | T, ~(~~T => T) |- 0 | L_NOT | 9 | 1 | 1 | T, ~(~~T => T) |- 0 | 1 | 1 | [
68,
86,
22,
9,
84,
9,
9,
68,
22,
6,
22,
68,
85,
22,
8,
92,
22,
10
] | 18 |
72 | T |- (~~T => T) | R_IMP | 1 | 0 | 1 | T |- (~~T => T) | 1 | 1 | [
68,
22,
8,
92,
22,
84,
9,
9,
68,
22,
6,
22,
68,
85
] | 14 |
73 | ~~T, T |- T | AXIOM | 0 | 0 | 1 | ~~T, T |- T | 1 | 1 | [
9,
9,
68,
86,
22,
68,
22,
8,
92,
22,
68
] | 11 |
74 | (S => (T & Q)), S |- T | L_IMP | 2 | 0 | 1 | (S => (T & Q)), S |- T | 1 | 1 | [
84,
67,
22,
6,
22,
84,
68,
22,
7,
22,
65,
85,
85,
86,
22,
67,
22,
8,
92,
22,
68
] | 21 |
75 | S |- S | AXIOM | 0 | 0 | 1 | S |- S | 1 | 1 | [
67,
22,
8,
92,
22,
67
] | 6 |
76 | (T & Q), S |- T | L_AND | 4 | 0 | 1 | (T & Q), S |- T | 1 | 1 | [
84,
68,
22,
7,
22,
65,
85,
86,
22,
67,
22,
8,
92,
22,
68
] | 15 |
77 | T, Q, S |- T | AXIOM | 0 | 0 | 1 | T, Q, S |- T | 1 | 1 | [
68,
86,
22,
65,
86,
22,
67,
22,
8,
92,
22,
68
] | 12 |
78 | (T & Q), R |- (T => Q) | R_IMP | 1 | 0 | 1 | (T & Q), R |- (T => Q) | 1 | 1 | [
84,
68,
22,
7,
22,
65,
85,
86,
22,
66,
22,
8,
92,
22,
84,
68,
22,
6,
22,
65,
85
] | 21 |
79 | T, (T & Q), R |- Q | L_AND | 4 | 1 | 1 | T, (T & Q), R |- Q | 1 | 1 | [
68,
86,
22,
84,
68,
22,
7,
22,
65,
85,
86,
22,
66,
22,
8,
92,
22,
65
] | 18 |
80 | T, Q, T, R |- Q | AXIOM | 0 | 0 | 1 | T, Q, T, R |- Q | 1 | 1 | [
68,
86,
22,
65,
86,
22,
68,
86,
22,
66,
22,
8,
92,
22,
65
] | 15 |
81 | (T & (P | R)) |- ((T & P) | (T & R)) | L_AND | 4 | 0 | 1 | (T & (P | R)) |- ((T & P) | (T & R)) | 1 | 1 | [
84,
68,
22,
7,
22,
84,
64,
22,
8,
22,
66,
85,
85,
22,
8,
92,
22,
84,
84,
68,
22,
7,
22,
64,
85,
22,
8,
22,
84,
68,
22,
7,
22,
66,
85,
85
] | 36 |
82 | T, (P | R) |- ((T & P) | (T & R)) | L_OR | 7 | 1 | 1 | T, (P | R) |- ((T & P) | (T & R)) | 1 | 1 | [
68,
86,
22,
84,
64,
22,
8,
22,
66,
85,
22,
8,
92,
22,
84,
84,
68,
22,
7,
22,
64,
85,
22,
8,
22,
84,
68,
22,
7,
22,
66,
85,
85
] | 33 |
83 | P, T |- ((T & P) | (T & R)) | R_OR_1 | 5 | 0 | 1 | P, T |- ((T & P) | (T & R)) | 1 | 1 | [
64,
86,
22,
68,
22,
8,
92,
22,
84,
84,
68,
22,
7,
22,
64,
85,
22,
8,
22,
84,
68,
22,
7,
22,
66,
85,
85
] | 27 |
84 | P, T |- (T & P) | R_AND | 3 | 0 | 1 | P, T |- (T & P) | 1 | 1 | [
64,
86,
22,
68,
22,
8,
92,
22,
84,
68,
22,
7,
22,
64,
85
] | 15 |
85 | P, T |- T | AXIOM | 0 | 0 | 1 | P, T |- T | 1 | 1 | [
64,
86,
22,
68,
22,
8,
92,
22,
68
] | 9 |
86 | P, T |- P | AXIOM | 0 | 0 | 1 | P, T |- P | 1 | 1 | [
64,
86,
22,
68,
22,
8,
92,
22,
64
] | 9 |
87 | R, T |- ((T & P) | (T & R)) | R_OR_2 | 6 | 0 | 1 | R, T |- ((T & P) | (T & R)) | 1 | 1 | [
66,
86,
22,
68,
22,
8,
92,
22,
84,
84,
68,
22,
7,
22,
64,
85,
22,
8,
22,
84,
68,
22,
7,
22,
66,
85,
85
] | 27 |
88 | R, T |- (T & R) | R_AND | 3 | 0 | 1 | R, T |- (T & R) | 1 | 1 | [
66,
86,
22,
68,
22,
8,
92,
22,
84,
68,
22,
7,
22,
66,
85
] | 15 |
89 | R, T |- T | AXIOM | 0 | 0 | 1 | R, T |- T | 1 | 1 | [
66,
86,
22,
68,
22,
8,
92,
22,
68
] | 9 |
90 | R, T |- R | AXIOM | 0 | 0 | 1 | R, T |- R | 1 | 1 | [
66,
86,
22,
68,
22,
8,
92,
22,
66
] | 9 |
91 | Q, Q |- (P => P) | R_IMP | 1 | 0 | 1 | Q, Q |- (P => P) | 1 | 1 | [
65,
86,
22,
65,
22,
8,
92,
22,
84,
64,
22,
6,
22,
64,
85
] | 15 |
92 | P, Q, Q |- P | AXIOM | 0 | 0 | 1 | P, Q, Q |- P | 1 | 1 | [
64,
86,
22,
65,
86,
22,
65,
22,
8,
92,
22,
64
] | 12 |
93 | P, ~P, ((Q & Q) => ~T), (T & (R | P)) |- S | L_NOT | 9 | 1 | 1 | P, ~P, ((Q & Q) => ~T), (T & (R | P)) |- S | 1 | 1 | [
64,
86,
22,
9,
64,
86,
22,
84,
84,
65,
22,
7,
22,
65,
85,
22,
6,
22,
9,
68,
85,
86,
22,
84,
68,
22,
7,
22,
84,
66,
22,
8,
22,
64,
85,
85,
22,
8,
92,
22,
67
] | 41 |
94 | P, ((Q & Q) => ~T), (T & (R | P)) |- P | AXIOM | 0 | 0 | 1 | P, ((Q & Q) => ~T), (T & (R | P)) |- P | 1 | 1 | [
64,
86,
22,
84,
84,
65,
22,
7,
22,
65,
85,
22,
6,
22,
9,
68,
85,
86,
22,
84,
68,
22,
7,
22,
84,
66,
22,
8,
22,
64,
85,
85,
22,
8,
92,
22,
64
] | 37 |
95 | (Q & (T | P)) |- ((Q & T) | (Q & P)) | L_AND | 4 | 0 | 1 | (Q & (T | P)) |- ((Q & T) | (Q & P)) | 1 | 1 | [
84,
65,
22,
7,
22,
84,
68,
22,
8,
22,
64,
85,
85,
22,
8,
92,
22,
84,
84,
65,
22,
7,
22,
68,
85,
22,
8,
22,
84,
65,
22,
7,
22,
64,
85,
85
] | 36 |
96 | Q, (T | P) |- ((Q & T) | (Q & P)) | L_OR | 7 | 1 | 1 | Q, (T | P) |- ((Q & T) | (Q & P)) | 1 | 1 | [
65,
86,
22,
84,
68,
22,
8,
22,
64,
85,
22,
8,
92,
22,
84,
84,
65,
22,
7,
22,
68,
85,
22,
8,
22,
84,
65,
22,
7,
22,
64,
85,
85
] | 33 |
97 | T, Q |- ((Q & T) | (Q & P)) | R_OR_1 | 5 | 0 | 1 | T, Q |- ((Q & T) | (Q & P)) | 1 | 1 | [
68,
86,
22,
65,
22,
8,
92,
22,
84,
84,
65,
22,
7,
22,
68,
85,
22,
8,
22,
84,
65,
22,
7,
22,
64,
85,
85
] | 27 |
98 | T, Q |- (Q & T) | R_AND | 3 | 0 | 1 | T, Q |- (Q & T) | 1 | 1 | [
68,
86,
22,
65,
22,
8,
92,
22,
84,
65,
22,
7,
22,
68,
85
] | 15 |
99 | T, Q |- Q | AXIOM | 0 | 0 | 1 | T, Q |- Q | 1 | 1 | [
68,
86,
22,
65,
22,
8,
92,
22,
65
] | 9 |
100 | T, Q |- T | AXIOM | 0 | 0 | 1 | T, Q |- T | 1 | 1 | [
68,
86,
22,
65,
22,
8,
92,
22,
68
] | 9 |
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