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 |
|---|---|---|---|---|---|---|---|---|---|---|
101 | P, Q |- ((Q & T) | (Q & P)) | R_OR_2 | 6 | 0 | 1 | P, Q |- ((Q & T) | (Q & P)) | 1 | 1 | [
64,
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 |
102 | P, Q |- (Q & P) | R_AND | 3 | 0 | 1 | P, Q |- (Q & P) | 1 | 1 | [
64,
86,
22,
65,
22,
8,
92,
22,
84,
65,
22,
7,
22,
64,
85
] | 15 |
103 | P, Q |- Q | AXIOM | 0 | 0 | 1 | P, Q |- Q | 1 | 1 | [
64,
86,
22,
65,
22,
8,
92,
22,
65
] | 9 |
104 | P, Q |- P | AXIOM | 0 | 0 | 1 | P, Q |- P | 1 | 1 | [
64,
86,
22,
65,
22,
8,
92,
22,
64
] | 9 |
105 | 0 |- ~~(~~P => P) | R_NOT | 8 | 0 | 1 | 0 |- ~~(~~P => P) | 1 | 1 | [
10,
22,
8,
92,
22,
9,
9,
84,
9,
9,
64,
22,
6,
22,
64,
85
] | 16 |
106 | ~(~~P => P) |- 0 | L_CONTR | 10 | 0 | 1 | ~(~~P => P) |- 0 | 1 | 1 | [
9,
84,
9,
9,
64,
22,
6,
22,
64,
85,
22,
8,
92,
22,
10
] | 15 |
107 | ~(~~P => P), ~(~~P => P) |- 0 | L_NOT | 9 | 0 | 1 | ~(~~P => P), ~(~~P => P) |- 0 | 1 | 1 | [
9,
84,
9,
9,
64,
22,
6,
22,
64,
85,
86,
22,
9,
84,
9,
9,
64,
22,
6,
22,
64,
85,
22,
8,
92,
22,
10
] | 27 |
108 | ~(~~P => P) |- (~~P => P) | R_IMP | 1 | 0 | 1 | ~(~~P => P) |- (~~P => P) | 1 | 1 | [
9,
84,
9,
9,
64,
22,
6,
22,
64,
85,
22,
8,
92,
22,
84,
9,
9,
64,
22,
6,
22,
64,
85
] | 23 |
109 | ~~P, ~(~~P => P) |- P | L_NOT | 9 | 0 | 1 | ~~P, ~(~~P => P) |- P | 1 | 1 | [
9,
9,
64,
86,
22,
9,
84,
9,
9,
64,
22,
6,
22,
64,
85,
22,
8,
92,
22,
64
] | 20 |
110 | ~(~~P => P) |- ~P | R_NOT | 8 | 0 | 1 | ~(~~P => P) |- ~P | 1 | 1 | [
9,
84,
9,
9,
64,
22,
6,
22,
64,
85,
22,
8,
92,
22,
9,
64
] | 16 |
111 | P, ~(~~P => P) |- 0 | L_NOT | 9 | 1 | 1 | P, ~(~~P => P) |- 0 | 1 | 1 | [
64,
86,
22,
9,
84,
9,
9,
64,
22,
6,
22,
64,
85,
22,
8,
92,
22,
10
] | 18 |
112 | P |- (~~P => P) | R_IMP | 1 | 0 | 1 | P |- (~~P => P) | 1 | 1 | [
64,
22,
8,
92,
22,
84,
9,
9,
64,
22,
6,
22,
64,
85
] | 14 |
113 | ~~P, P |- P | AXIOM | 0 | 0 | 1 | ~~P, P |- P | 1 | 1 | [
9,
9,
64,
86,
22,
64,
22,
8,
92,
22,
64
] | 11 |
114 | (R & Q), ~Q, S, ((S => Q) & (T => T)) |- (R & Q) | AXIOM | 0 | 0 | 1 | (R & Q), ~Q, S, ((S => Q) & (T => T)) |- (R & Q) | 1 | 1 | [
84,
66,
22,
7,
22,
65,
85,
86,
22,
9,
65,
86,
22,
67,
86,
22,
84,
84,
67,
22,
6,
22,
65,
85,
22,
7,
22,
84,
68,
22,
6,
22,
68,
85,
85,
22,
8,
92,
22,
84,
66,
22,
7,
22,
65,
85
] | 46 |
115 | (T & (P | Q)) |- ((T & P) | (T & Q)) | L_AND | 4 | 0 | 1 | (T & (P | Q)) |- ((T & P) | (T & Q)) | 1 | 1 | [
84,
68,
22,
7,
22,
84,
64,
22,
8,
22,
65,
85,
85,
22,
8,
92,
22,
84,
84,
68,
22,
7,
22,
64,
85,
22,
8,
22,
84,
68,
22,
7,
22,
65,
85,
85
] | 36 |
116 | T, (P | Q) |- ((T & P) | (T & Q)) | L_OR | 7 | 1 | 1 | T, (P | Q) |- ((T & P) | (T & Q)) | 1 | 1 | [
68,
86,
22,
84,
64,
22,
8,
22,
65,
85,
22,
8,
92,
22,
84,
84,
68,
22,
7,
22,
64,
85,
22,
8,
22,
84,
68,
22,
7,
22,
65,
85,
85
] | 33 |
117 | P, T |- ((T & P) | (T & Q)) | R_OR_1 | 5 | 0 | 1 | P, T |- ((T & P) | (T & Q)) | 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,
65,
85,
85
] | 27 |
118 | 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 |
119 | P, T |- T | AXIOM | 0 | 0 | 1 | P, T |- T | 1 | 1 | [
64,
86,
22,
68,
22,
8,
92,
22,
68
] | 9 |
120 | P, T |- P | AXIOM | 0 | 0 | 1 | P, T |- P | 1 | 1 | [
64,
86,
22,
68,
22,
8,
92,
22,
64
] | 9 |
121 | Q, T |- ((T & P) | (T & Q)) | R_OR_2 | 6 | 0 | 1 | Q, T |- ((T & P) | (T & Q)) | 1 | 1 | [
65,
86,
22,
68,
22,
8,
92,
22,
84,
84,
68,
22,
7,
22,
64,
85,
22,
8,
22,
84,
68,
22,
7,
22,
65,
85,
85
] | 27 |
122 | Q, T |- (T & Q) | R_AND | 3 | 0 | 1 | Q, T |- (T & Q) | 1 | 1 | [
65,
86,
22,
68,
22,
8,
92,
22,
84,
68,
22,
7,
22,
65,
85
] | 15 |
123 | Q, T |- T | AXIOM | 0 | 0 | 1 | Q, T |- T | 1 | 1 | [
65,
86,
22,
68,
22,
8,
92,
22,
68
] | 9 |
124 | Q, T |- Q | AXIOM | 0 | 0 | 1 | Q, T |- Q | 1 | 1 | [
65,
86,
22,
68,
22,
8,
92,
22,
65
] | 9 |
125 | ~(S | T) |- (~S & ~T) | R_AND | 3 | 0 | 1 | ~(S | T) |- (~S & ~T) | 1 | 1 | [
9,
84,
67,
22,
8,
22,
68,
85,
22,
8,
92,
22,
84,
9,
67,
22,
7,
22,
9,
68,
85
] | 21 |
126 | ~(S | T) |- ~S | R_NOT | 8 | 0 | 1 | ~(S | T) |- ~S | 1 | 1 | [
9,
84,
67,
22,
8,
22,
68,
85,
22,
8,
92,
22,
9,
67
] | 14 |
127 | S, ~(S | T) |- 0 | L_NOT | 9 | 1 | 1 | S, ~(S | T) |- 0 | 1 | 1 | [
67,
86,
22,
9,
84,
67,
22,
8,
22,
68,
85,
22,
8,
92,
22,
10
] | 16 |
128 | S |- (S | T) | R_OR_1 | 5 | 0 | 1 | S |- (S | T) | 1 | 1 | [
67,
22,
8,
92,
22,
84,
67,
22,
8,
22,
68,
85
] | 12 |
129 | S |- S | AXIOM | 0 | 0 | 1 | S |- S | 1 | 1 | [
67,
22,
8,
92,
22,
67
] | 6 |
130 | ~(S | T) |- ~T | R_NOT | 8 | 0 | 1 | ~(S | T) |- ~T | 1 | 1 | [
9,
84,
67,
22,
8,
22,
68,
85,
22,
8,
92,
22,
9,
68
] | 14 |
131 | T, ~(S | T) |- 0 | L_NOT | 9 | 1 | 1 | T, ~(S | T) |- 0 | 1 | 1 | [
68,
86,
22,
9,
84,
67,
22,
8,
22,
68,
85,
22,
8,
92,
22,
10
] | 16 |
132 | T |- (S | T) | R_OR_2 | 6 | 0 | 1 | T |- (S | T) | 1 | 1 | [
68,
22,
8,
92,
22,
84,
67,
22,
8,
22,
68,
85
] | 12 |
133 | T |- T | AXIOM | 0 | 0 | 1 | T |- T | 1 | 1 | [
68,
22,
8,
92,
22,
68
] | 6 |
134 | ((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 |
135 | 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 |
136 | 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 |
137 | 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 |
138 | Q, P |- P | AXIOM | 0 | 0 | 1 | Q, P |- P | 1 | 1 | [
65,
86,
22,
64,
22,
8,
92,
22,
64
] | 9 |
139 | Q, P |- Q | AXIOM | 0 | 0 | 1 | Q, P |- Q | 1 | 1 | [
65,
86,
22,
64,
22,
8,
92,
22,
65
] | 9 |
140 | 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 |
141 | ((P => S) & (Q & S)) |- ((S & S) | (R => P)) | R_OR_1 | 5 | 0 | 1 | ((P => S) & (Q & S)) |- ((S & S) | (R => P)) | 1 | 1 | [
84,
84,
64,
22,
6,
22,
67,
85,
22,
7,
22,
84,
65,
22,
7,
22,
67,
85,
85,
22,
8,
92,
22,
84,
84,
67,
22,
7,
22,
67,
85,
22,
8,
22,
84,
66,
22,
6,
22,
64,
85,
85
] | 42 |
142 | ((P => S) & (Q & S)) |- (S & S) | R_AND | 3 | 0 | 1 | ((P => S) & (Q & S)) |- (S & S) | 1 | 1 | [
84,
84,
64,
22,
6,
22,
67,
85,
22,
7,
22,
84,
65,
22,
7,
22,
67,
85,
85,
22,
8,
92,
22,
84,
67,
22,
7,
22,
67,
85
] | 30 |
143 | ((P => S) & (Q & S)) |- S | L_AND | 4 | 0 | 1 | ((P => S) & (Q & S)) |- S | 1 | 1 | [
84,
84,
64,
22,
6,
22,
67,
85,
22,
7,
22,
84,
65,
22,
7,
22,
67,
85,
85,
22,
8,
92,
22,
67
] | 24 |
144 | (P => S), (Q & S) |- S | L_AND | 4 | 1 | 1 | (P => S), (Q & S) |- S | 1 | 1 | [
84,
64,
22,
6,
22,
67,
85,
86,
22,
84,
65,
22,
7,
22,
67,
85,
22,
8,
92,
22,
67
] | 21 |
145 | Q, S, (P => S) |- S | AXIOM | 0 | 0 | 1 | Q, S, (P => S) |- S | 1 | 1 | [
65,
86,
22,
67,
86,
22,
84,
64,
22,
6,
22,
67,
85,
22,
8,
92,
22,
67
] | 18 |
146 | ((P => S) & (Q & S)) |- S | L_AND | 4 | 0 | 1 | ((P => S) & (Q & S)) |- S | 1 | 1 | [
84,
84,
64,
22,
6,
22,
67,
85,
22,
7,
22,
84,
65,
22,
7,
22,
67,
85,
85,
22,
8,
92,
22,
67
] | 24 |
147 | (P => S), (Q & S) |- S | L_AND | 4 | 1 | 1 | (P => S), (Q & S) |- S | 1 | 1 | [
84,
64,
22,
6,
22,
67,
85,
86,
22,
84,
65,
22,
7,
22,
67,
85,
22,
8,
92,
22,
67
] | 21 |
148 | Q, S, (P => S) |- S | AXIOM | 0 | 0 | 1 | Q, S, (P => S) |- S | 1 | 1 | [
65,
86,
22,
67,
86,
22,
84,
64,
22,
6,
22,
67,
85,
22,
8,
92,
22,
67
] | 18 |
149 | ((T & Q) => P) |- (T => (Q => P)) | R_IMP | 1 | 0 | 1 | ((T & Q) => P) |- (T => (Q => P)) | 1 | 1 | [
84,
84,
68,
22,
7,
22,
65,
85,
22,
6,
22,
64,
85,
22,
8,
92,
22,
84,
68,
22,
6,
22,
84,
65,
22,
6,
22,
64,
85,
85
] | 30 |
150 | T, ((T & Q) => P) |- (Q => P) | R_IMP | 1 | 0 | 1 | T, ((T & Q) => P) |- (Q => P) | 1 | 1 | [
68,
86,
22,
84,
84,
68,
22,
7,
22,
65,
85,
22,
6,
22,
64,
85,
22,
8,
92,
22,
84,
65,
22,
6,
22,
64,
85
] | 27 |
151 | Q, T, ((T & Q) => P) |- P | L_IMP | 2 | 2 | 1 | Q, T, ((T & Q) => P) |- P | 1 | 1 | [
65,
86,
22,
68,
86,
22,
84,
84,
68,
22,
7,
22,
65,
85,
22,
6,
22,
64,
85,
22,
8,
92,
22,
64
] | 24 |
152 | Q, T |- (T & Q) | R_AND | 3 | 0 | 1 | Q, T |- (T & Q) | 1 | 1 | [
65,
86,
22,
68,
22,
8,
92,
22,
84,
68,
22,
7,
22,
65,
85
] | 15 |
153 | Q, T |- T | AXIOM | 0 | 0 | 1 | Q, T |- T | 1 | 1 | [
65,
86,
22,
68,
22,
8,
92,
22,
68
] | 9 |
154 | Q, T |- Q | AXIOM | 0 | 0 | 1 | Q, T |- Q | 1 | 1 | [
65,
86,
22,
68,
22,
8,
92,
22,
65
] | 9 |
155 | P, Q, T |- P | AXIOM | 0 | 0 | 1 | P, Q, T |- P | 1 | 1 | [
64,
86,
22,
65,
86,
22,
68,
22,
8,
92,
22,
64
] | 12 |
156 | (Q & S), ~S, (S => P) |- ((T | R) | (Q & R)) | R_OR_1 | 5 | 0 | 1 | (Q & S), ~S, (S => P) |- ((T | R) | (Q & R)) | 1 | 1 | [
84,
65,
22,
7,
22,
67,
85,
86,
22,
9,
67,
86,
22,
84,
67,
22,
6,
22,
64,
85,
22,
8,
92,
22,
84,
84,
68,
22,
8,
22,
66,
85,
22,
8,
22,
84,
65,
22,
7,
22,
66,
85,
85
] | 43 |
157 | (Q & S), ~S, (S => P) |- (T | R) | R_OR_1 | 5 | 0 | 1 | (Q & S), ~S, (S => P) |- (T | R) | 1 | 1 | [
84,
65,
22,
7,
22,
67,
85,
86,
22,
9,
67,
86,
22,
84,
67,
22,
6,
22,
64,
85,
22,
8,
92,
22,
84,
68,
22,
8,
22,
66,
85
] | 31 |
158 | (Q & S), ~S, (S => P) |- T | L_AND | 4 | 0 | 1 | (Q & S), ~S, (S => P) |- T | 1 | 1 | [
84,
65,
22,
7,
22,
67,
85,
86,
22,
9,
67,
86,
22,
84,
67,
22,
6,
22,
64,
85,
22,
8,
92,
22,
68
] | 25 |
159 | Q, S, ~S, (S => P) |- T | L_NOT | 9 | 2 | 1 | Q, S, ~S, (S => P) |- T | 1 | 1 | [
65,
86,
22,
67,
86,
22,
9,
67,
86,
22,
84,
67,
22,
6,
22,
64,
85,
22,
8,
92,
22,
68
] | 22 |
160 | Q, S, (S => P) |- S | AXIOM | 0 | 0 | 1 | Q, S, (S => P) |- S | 1 | 1 | [
65,
86,
22,
67,
86,
22,
84,
67,
22,
6,
22,
64,
85,
22,
8,
92,
22,
67
] | 18 |
161 | (Q => R), (R => S) |- (Q => S) | R_IMP | 1 | 0 | 1 | (Q => R), (R => S) |- (Q => S) | 1 | 1 | [
84,
65,
22,
6,
22,
66,
85,
86,
22,
84,
66,
22,
6,
22,
67,
85,
22,
8,
92,
22,
84,
65,
22,
6,
22,
67,
85
] | 27 |
162 | Q, (Q => R), (R => S) |- S | L_IMP | 2 | 1 | 1 | Q, (Q => R), (R => S) |- S | 1 | 1 | [
65,
86,
22,
84,
65,
22,
6,
22,
66,
85,
86,
22,
84,
66,
22,
6,
22,
67,
85,
22,
8,
92,
22,
67
] | 24 |
163 | Q, (R => S) |- Q | AXIOM | 0 | 0 | 1 | Q, (R => S) |- Q | 1 | 1 | [
65,
86,
22,
84,
66,
22,
6,
22,
67,
85,
22,
8,
92,
22,
65
] | 15 |
164 | R, Q, (R => S) |- S | L_IMP | 2 | 2 | 1 | R, Q, (R => S) |- S | 1 | 1 | [
66,
86,
22,
65,
86,
22,
84,
66,
22,
6,
22,
67,
85,
22,
8,
92,
22,
67
] | 18 |
165 | R, Q |- R | AXIOM | 0 | 0 | 1 | R, Q |- R | 1 | 1 | [
66,
86,
22,
65,
22,
8,
92,
22,
66
] | 9 |
166 | S, R, Q |- S | AXIOM | 0 | 0 | 1 | S, R, Q |- S | 1 | 1 | [
67,
86,
22,
66,
86,
22,
65,
22,
8,
92,
22,
67
] | 12 |
167 | 0 |- ~~(~~R => R) | R_NOT | 8 | 0 | 1 | 0 |- ~~(~~R => R) | 1 | 1 | [
10,
22,
8,
92,
22,
9,
9,
84,
9,
9,
66,
22,
6,
22,
66,
85
] | 16 |
168 | ~(~~R => R) |- 0 | L_CONTR | 10 | 0 | 1 | ~(~~R => R) |- 0 | 1 | 1 | [
9,
84,
9,
9,
66,
22,
6,
22,
66,
85,
22,
8,
92,
22,
10
] | 15 |
169 | ~(~~R => R), ~(~~R => R) |- 0 | L_NOT | 9 | 0 | 1 | ~(~~R => R), ~(~~R => R) |- 0 | 1 | 1 | [
9,
84,
9,
9,
66,
22,
6,
22,
66,
85,
86,
22,
9,
84,
9,
9,
66,
22,
6,
22,
66,
85,
22,
8,
92,
22,
10
] | 27 |
170 | ~(~~R => R) |- (~~R => R) | R_IMP | 1 | 0 | 1 | ~(~~R => R) |- (~~R => R) | 1 | 1 | [
9,
84,
9,
9,
66,
22,
6,
22,
66,
85,
22,
8,
92,
22,
84,
9,
9,
66,
22,
6,
22,
66,
85
] | 23 |
171 | ~~R, ~(~~R => R) |- R | L_NOT | 9 | 0 | 1 | ~~R, ~(~~R => R) |- R | 1 | 1 | [
9,
9,
66,
86,
22,
9,
84,
9,
9,
66,
22,
6,
22,
66,
85,
22,
8,
92,
22,
66
] | 20 |
172 | ~(~~R => R) |- ~R | R_NOT | 8 | 0 | 1 | ~(~~R => R) |- ~R | 1 | 1 | [
9,
84,
9,
9,
66,
22,
6,
22,
66,
85,
22,
8,
92,
22,
9,
66
] | 16 |
173 | R, ~(~~R => R) |- 0 | L_NOT | 9 | 1 | 1 | R, ~(~~R => R) |- 0 | 1 | 1 | [
66,
86,
22,
9,
84,
9,
9,
66,
22,
6,
22,
66,
85,
22,
8,
92,
22,
10
] | 18 |
174 | R |- (~~R => R) | R_IMP | 1 | 0 | 1 | R |- (~~R => R) | 1 | 1 | [
66,
22,
8,
92,
22,
84,
9,
9,
66,
22,
6,
22,
66,
85
] | 14 |
175 | ~~R, R |- R | AXIOM | 0 | 0 | 1 | ~~R, R |- R | 1 | 1 | [
9,
9,
66,
86,
22,
66,
22,
8,
92,
22,
66
] | 11 |
176 | ~(R | S) |- (~R & ~S) | R_AND | 3 | 0 | 1 | ~(R | S) |- (~R & ~S) | 1 | 1 | [
9,
84,
66,
22,
8,
22,
67,
85,
22,
8,
92,
22,
84,
9,
66,
22,
7,
22,
9,
67,
85
] | 21 |
177 | ~(R | S) |- ~R | R_NOT | 8 | 0 | 1 | ~(R | S) |- ~R | 1 | 1 | [
9,
84,
66,
22,
8,
22,
67,
85,
22,
8,
92,
22,
9,
66
] | 14 |
178 | R, ~(R | S) |- 0 | L_NOT | 9 | 1 | 1 | R, ~(R | S) |- 0 | 1 | 1 | [
66,
86,
22,
9,
84,
66,
22,
8,
22,
67,
85,
22,
8,
92,
22,
10
] | 16 |
179 | R |- (R | S) | R_OR_1 | 5 | 0 | 1 | R |- (R | S) | 1 | 1 | [
66,
22,
8,
92,
22,
84,
66,
22,
8,
22,
67,
85
] | 12 |
180 | R |- R | AXIOM | 0 | 0 | 1 | R |- R | 1 | 1 | [
66,
22,
8,
92,
22,
66
] | 6 |
181 | ~(R | S) |- ~S | R_NOT | 8 | 0 | 1 | ~(R | S) |- ~S | 1 | 1 | [
9,
84,
66,
22,
8,
22,
67,
85,
22,
8,
92,
22,
9,
67
] | 14 |
182 | S, ~(R | S) |- 0 | L_NOT | 9 | 1 | 1 | S, ~(R | S) |- 0 | 1 | 1 | [
67,
86,
22,
9,
84,
66,
22,
8,
22,
67,
85,
22,
8,
92,
22,
10
] | 16 |
183 | S |- (R | S) | R_OR_2 | 6 | 0 | 1 | S |- (R | S) | 1 | 1 | [
67,
22,
8,
92,
22,
84,
66,
22,
8,
22,
67,
85
] | 12 |
184 | S |- S | AXIOM | 0 | 0 | 1 | S |- S | 1 | 1 | [
67,
22,
8,
92,
22,
67
] | 6 |
185 | ((R & Q) => T) |- (R => (Q => T)) | R_IMP | 1 | 0 | 1 | ((R & Q) => T) |- (R => (Q => T)) | 1 | 1 | [
84,
84,
66,
22,
7,
22,
65,
85,
22,
6,
22,
68,
85,
22,
8,
92,
22,
84,
66,
22,
6,
22,
84,
65,
22,
6,
22,
68,
85,
85
] | 30 |
186 | R, ((R & Q) => T) |- (Q => T) | R_IMP | 1 | 0 | 1 | R, ((R & Q) => T) |- (Q => T) | 1 | 1 | [
66,
86,
22,
84,
84,
66,
22,
7,
22,
65,
85,
22,
6,
22,
68,
85,
22,
8,
92,
22,
84,
65,
22,
6,
22,
68,
85
] | 27 |
187 | Q, R, ((R & Q) => T) |- T | L_IMP | 2 | 2 | 1 | Q, R, ((R & Q) => T) |- T | 1 | 1 | [
65,
86,
22,
66,
86,
22,
84,
84,
66,
22,
7,
22,
65,
85,
22,
6,
22,
68,
85,
22,
8,
92,
22,
68
] | 24 |
188 | Q, R |- (R & Q) | R_AND | 3 | 0 | 1 | Q, R |- (R & Q) | 1 | 1 | [
65,
86,
22,
66,
22,
8,
92,
22,
84,
66,
22,
7,
22,
65,
85
] | 15 |
189 | Q, R |- R | AXIOM | 0 | 0 | 1 | Q, R |- R | 1 | 1 | [
65,
86,
22,
66,
22,
8,
92,
22,
66
] | 9 |
190 | Q, R |- Q | AXIOM | 0 | 0 | 1 | Q, R |- Q | 1 | 1 | [
65,
86,
22,
66,
22,
8,
92,
22,
65
] | 9 |
191 | T, Q, R |- T | AXIOM | 0 | 0 | 1 | T, Q, R |- T | 1 | 1 | [
68,
86,
22,
65,
86,
22,
66,
22,
8,
92,
22,
68
] | 12 |
192 | S, ((S | T) | Q) |- (R | S) | R_OR_2 | 6 | 0 | 1 | S, ((S | T) | Q) |- (R | S) | 1 | 1 | [
67,
86,
22,
84,
84,
67,
22,
8,
22,
68,
85,
22,
8,
22,
65,
85,
22,
8,
92,
22,
84,
66,
22,
8,
22,
67,
85
] | 27 |
193 | S, ((S | T) | Q) |- S | AXIOM | 0 | 0 | 1 | S, ((S | T) | Q) |- S | 1 | 1 | [
67,
86,
22,
84,
84,
67,
22,
8,
22,
68,
85,
22,
8,
22,
65,
85,
22,
8,
92,
22,
67
] | 21 |
194 | ~(P | Q) |- (~P & ~Q) | R_AND | 3 | 0 | 1 | ~(P | Q) |- (~P & ~Q) | 1 | 1 | [
9,
84,
64,
22,
8,
22,
65,
85,
22,
8,
92,
22,
84,
9,
64,
22,
7,
22,
9,
65,
85
] | 21 |
195 | ~(P | Q) |- ~P | R_NOT | 8 | 0 | 1 | ~(P | Q) |- ~P | 1 | 1 | [
9,
84,
64,
22,
8,
22,
65,
85,
22,
8,
92,
22,
9,
64
] | 14 |
196 | P, ~(P | Q) |- 0 | L_NOT | 9 | 1 | 1 | P, ~(P | Q) |- 0 | 1 | 1 | [
64,
86,
22,
9,
84,
64,
22,
8,
22,
65,
85,
22,
8,
92,
22,
10
] | 16 |
197 | P |- (P | Q) | R_OR_1 | 5 | 0 | 1 | P |- (P | Q) | 1 | 1 | [
64,
22,
8,
92,
22,
84,
64,
22,
8,
22,
65,
85
] | 12 |
198 | P |- P | AXIOM | 0 | 0 | 1 | P |- P | 1 | 1 | [
64,
22,
8,
92,
22,
64
] | 6 |
199 | ~(P | Q) |- ~Q | R_NOT | 8 | 0 | 1 | ~(P | Q) |- ~Q | 1 | 1 | [
9,
84,
64,
22,
8,
22,
65,
85,
22,
8,
92,
22,
9,
65
] | 14 |
200 | Q, ~(P | Q) |- 0 | L_NOT | 9 | 1 | 1 | Q, ~(P | Q) |- 0 | 1 | 1 | [
65,
86,
22,
9,
84,
64,
22,
8,
22,
65,
85,
22,
8,
92,
22,
10
] | 16 |
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