| 1 | 1 : U*v1 = v1 |
| 2 | 2 : I(v1)*v1 = U |
| 3 | 3 : (v3*v2)*v1 = v3*(v2*v1) |
| 4 | 4 : A*B = B*A |
| 5 | 5 : C*C = U |
| 6 | 6 : I(A) = C*(A*I(C)) |
| 7 | 7 : C*(B*I(C)) = B |
| 8 | 8 : I(v2)*(v2*v1) = v1 |
| 9 | 9 : A*(B*v1) = B*(A*v1) |
| 10 | 10 : C*(C*v1) = v1 |
| 11 | 11 : C*(A*(I(C)*A)) = U |
| 12 | 12 : C*(B*(I(C)*v1)) = B*v1 |
| 13 | 13 : I(U)*v1 = v1 |
| 14 | 14 : I(I(v1))*U = v1 |
| 15 | 15 : I(v3*v2)*(v3*(v2*v1)) = v1 |
| 16 | 16 : C*(A*(I(C)*(B*A))) = B |
| 17 | 17 : I(C)*U = C |
| 18 | 18 : C*(A*(I(C)*(A*v1))) = v1 |
| 19 | 19 : I(C)*B = B*I(C) |
| 20 | 20 : I(I(v2))*v1 = v2*v1 |
| 21 | Rule 14 deleted |
| 22 | 21 : v1*U = v1 |
| 23 | Rule 17 deleted |
| 24 | 22 : I(C) = C |
| 25 | Rule 19 deleted |
| 26 | Rule 18 deleted |
| 27 | Rule 16 deleted |
| 28 | Rule 12 deleted |
| 29 | Rule 11 deleted |
| 30 | Rule 7 deleted |
| 31 | 23 : C*B = B*C |
| 32 | 24 : C*(A*(C*(A*v1))) = v1 |
| 33 | 25 : C*(A*(C*(B*A))) = B |
| 34 | 26 : C*(B*(C*v1)) = B*v1 |
| 35 | 27 : C*(A*(C*A)) = U |
| 36 | 28 : C*(B*C) = B |
| 37 | 29 : C*(A*(C*(B*(A*v1)))) = B*v1 |
| 38 | 30 : I(I(v2*v1)*v2) = v1 |
| 39 | 31 : I(v2*I(v1))*v2 = v1 |
| 40 | 32 : I(v4*(v3*v2))*(v4*(v3*(v2*v1))) = v1 |
| 41 | 33 : I(v1*A)*(v1*(B*A)) = B |
| 42 | 34 : I(v1*C)*v1 = C |
| 43 | 35 : I(v3*I(v2))*(v3*v1) = v2*v1 |
| 44 | 36 : I(v2*A)*(v2*(B*(A*v1))) = B*v1 |
| 45 | 37 : I(v2*C)*(v2*v1) = C*v1 |
| 46 | 38 : v1*I(v1) = U |
| 47 | 39 : I(C*(A*C))*v1 = A*v1 |
| 48 | 40 : v2*(I(v2)*v1) = v1 |
| 49 | 41 : I(U) = U |
| 50 | Rule 13 deleted |
| 51 | 42 : I(I(v1)) = v1 |
| 52 | Rule 20 deleted |
| 53 | 43 : C*(B*v1) = B*(C*v1) |
| 54 | Rule 29 deleted |
| 55 | Rule 28 deleted |
| 56 | Rule 26 deleted |
| 57 | Rule 25 deleted |
| 58 | 44 : A*(C*(A*v1)) = C*v1 |
| 59 | Rule 24 deleted |
| 60 | 45 : A*(C*A) = C |
| 61 | Rule 27 deleted |
| 62 | 46 : v2*(I(v1*v2)*v1) = U |
| 63 | 47 : I(I(v3*(v2*v1))*(v3*v2)) = v1 |
| 64 | 48 : I(I(B*A)*A) = B |
| 65 | 49 : v3*(I(v2*v3)*(v2*v1)) = v1 |
| 66 | 50 : I(I(v2)*I(v1)) = v1*v2 |
| 67 | 51 : I(I(B*(A*v1))*A) = B*v1 |
| 68 | 52 : I(I(v1)*C) = C*v1 |
| 69 | 53 : I(v2*I(v1*v2)) = v1 |
| 70 | 54 : I(v3*(v2*I(v1)))*(v3*v2) = v1 |
| 71 | 55 : I(v1*(C*(A*C)))*v1 = A |
| 72 | 56 : v2*I(I(v1)*v2) = v1 |
| 73 | 57 : I(v3*(I(v2*v1)*v2))*v3 = v1 |
| 74 | 58 : I(v5*(v4*(v3*v2)))*(v5*(v4*(v3*(v2*v1)))) = v1 |
| 75 | 59 : I(v2*(v1*A))*(v2*(v1*(B*A))) = B |
| 76 | 60 : I(v2*(v1*C))*(v2*v1) = C |
| 77 | 61 : I(v4*(v3*I(v2)))*(v4*(v3*v1)) = v2*v1 |
| 78 | 62 : I(v3*(v2*A))*(v3*(v2*(B*(A*v1)))) = B*v1 |
| 79 | 63 : I(v3*(v2*C))*(v3*(v2*v1)) = C*v1 |
| 80 | 64 : I(v4*(I(v3*v2)*v3))*(v4*v1) = v2*v1 |
| 81 | 65 : v4*(I(v3*(v2*v4))*(v3*(v2*v1))) = v1 |
| 82 | 66 : I(I(B)*A)*A = B |
| 83 | 67 : I(A*A)*(B*(A*A)) = B |
| 84 | 68 : v1*(I(A*v1)*(B*A)) = B |
| 85 | 69 : I(I(v1*A)*(v1*B))*B = A |
| 86 | 70 : v1*I(C*v1) = C |
| 87 | 71 : I(A*I(v1))*(B*A) = v1*B |
| 88 | 72 : I(C*I(v1)) = v1*C |
| 89 | 73 : I(v2*(C*(A*C)))*(v2*v1) = A*v1 |
| 90 | 74 : I(A*I(v2))*(B*(A*v1)) = v2*(B*v1) |
| 91 | 75 : v3*(I(I(v2)*v3)*v1) = v2*v1 |
| 92 | 76 : I(I(B*I(v1))*A)*(v1*A) = B |
| 93 | 77 : I(v1*A)*(v1*(B*(B*A))) = B*B |
| 94 | 78 : I(I(B)*A)*(A*v1) = B*v1 |
| 95 | 79 : I(A*A)*(B*(A*(A*v1))) = B*v1 |
| 96 | 80 : I(v2*A)*(v2*(B*(B*(A*v1)))) = B*(B*v1) |
| 97 | 81 : v2*(I(A*v2)*(B*(A*v1))) = B*v1 |
| 98 | 82 : I(I(v2*A)*(v2*B))*(B*v1) = A*v1 |
| 99 | 83 : I(I(B*I(v2))*A)*(v2*(A*v1)) = B*v1 |
| 100 | 84 : I(A*C)*(B*A) = B*C |
| 101 | 85 : I(A*C)*(B*(A*v1)) = B*(C*v1) |
| 102 | 86 : v2*(I(C*v2)*v1) = C*v1 |
| 103 | 87 : I(I(B*C)*A)*(C*A) = B |
| 104 | 88 : I(I(B*C)*A)*(C*(A*v1)) = B*v1 |
| 105 | 89 : v2*(v1*I(v2*v1)) = U |
| 106 | 90 : B*(A*I(B)) = A |
| 107 | 91 : I(v2*v1)*v2 = I(v1) |
| 108 | Rule 64 deleted |
| 109 | Rule 57 deleted |
| 110 | Rule 55 deleted |
| 111 | Rule 46 deleted |
| 112 | Rule 34 deleted |
| 113 | Rule 31 deleted |
| 114 | Rule 30 deleted |
| 115 | 92 : I(C*(A*C)) = A |
| 116 | Rule 39 deleted |
| 117 | 93 : I(v3*(v2*v1))*(v3*v2) = I(v1) |
| 118 | Rule 60 deleted |
| 119 | Rule 54 deleted |
| 120 | Rule 47 deleted |
| 121 | 94 : I(v2*I(v1)) = v1*I(v2) |
| 122 | Rule 83 deleted |
| 123 | Rule 76 deleted |
| 124 | Rule 74 deleted |
| 125 | Rule 72 deleted |
| 126 | Rule 71 deleted |
| 127 | Rule 53 deleted |
| 128 | Rule 50 deleted |
| 129 | Rule 35 deleted |
| 130 | 95 : I(v2*(I(B)*A))*(v2*(A*v1)) = B*v1 |
| 131 | 96 : I(v1*(I(B)*A))*(v1*A) = B |
| 132 | 97 : I(v1*A)*(v1*B) = B*(C*(A*C)) |
| 133 | Rule 82 deleted |
| 134 | Rule 69 deleted |
| 135 | 98 : I(v1*C) = C*I(v1) |
| 136 | Rule 88 deleted |
| 137 | Rule 87 deleted |
| 138 | Rule 85 deleted |
| 139 | Rule 84 deleted |
| 140 | Rule 52 deleted |
| 141 | Rule 37 deleted |
| 142 | 99 : v3*(v2*(I(v3*v2)*v1)) = v1 |
| 143 | 100 : B*(A*(I(B)*v1)) = A*v1 |
| 144 | 101 : I(v3*v2)*(v3*v1) = I(v2)*v1 |
| 145 | Rule 97 deleted |
| 146 | Rule 96 deleted |
| 147 | Rule 95 deleted |
| 148 | Rule 93 deleted |
| 149 | Rule 80 deleted |
| 150 | Rule 77 deleted |
| 151 | Rule 73 deleted |
| 152 | Rule 65 deleted |
| 153 | Rule 63 deleted |
| 154 | Rule 62 deleted |
| 155 | Rule 61 deleted |
| 156 | Rule 59 deleted |
| 157 | Rule 58 deleted |
| 158 | Rule 49 deleted |
| 159 | Rule 36 deleted |
| 160 | Rule 33 deleted |
| 161 | Rule 32 deleted |
| 162 | Rule 15 deleted |
| 163 | 102 : B*(C*I(B)) = C |
| 164 | 103 : B*(C*(I(B)*v1)) = C*v1 |
| 165 | 104 : B*(I(B*A)*A) = U |
| 166 | 105 : B*(I(B*A)*(A*v1)) = v1 |
| 167 | 106 : I(B*A)*A = I(B) |
| 168 | Rule 104 deleted |
| 169 | Rule 48 deleted |
| 170 | 107 : B*(v1*(I(B*(A*v1))*A)) = U |
| 171 | 108 : I(I(B*(B*A))*A) = B*B |
| 172 | 109 : B*(v2*(I(B*(A*v2))*(A*v1))) = v1 |
| 173 | 110 : I(I(B*(B*(A*v1)))*A) = B*(B*v1) |
| 174 | 111 : I(I(B)*A) = B*(C*(A*C)) |
| 175 | Rule 78 deleted |
| 176 | Rule 66 deleted |
| 177 | 112 : I(I(B*v1)*A) = B*(C*(A*(C*v1))) |
| 178 | Rule 110 deleted |
| 179 | Rule 108 deleted |
| 180 | Rule 51 deleted |
| 181 | 113 : v3*(v2*I(I(v1)*(v3*v2))) = v1 |
| 182 | 114 : v1*I(C*(A*(C*v1))) = A |
| 183 | 115 : I(I(v2)*v1) = I(v1)*v2 |
| 184 | Rule 113 deleted |
| 185 | Rule 112 deleted |
| 186 | Rule 111 deleted |
| 187 | Rule 75 deleted |
| 188 | Rule 56 deleted |
| 189 | 116 : v2*(v1*(I(A*(v2*v1))*(B*A))) = B |
| 190 | 117 : I(A*v1)*(B*A) = I(v1)*B |
| 191 | Rule 116 deleted |
| 192 | Rule 68 deleted |
| 193 | 118 : v2*(v1*I(C*(v2*v1))) = C |
| 194 | 119 : I(C*v1) = I(v1)*C |
| 195 | Rule 118 deleted |
| 196 | Rule 114 deleted |
| 197 | Rule 92 deleted |
| 198 | Rule 86 deleted |
| 199 | Rule 70 deleted |
| 200 | 120 : v1*(I(A*(C*v1))*C) = A |
| 201 | 121 : I(A*A)*(B*(B*(A*A))) = B*B |
| 202 | 122 : I(A*A)*(B*(B*(A*(A*v1)))) = B*(B*v1) |
| 203 | 123 : I(A*A)*(B*(A*v1)) = B*(C*(A*(C*v1))) |
| 204 | Rule 79 deleted |
| 205 | Rule 67 deleted |
| 206 | 124 : v3*(v2*(I(A*(v3*v2))*(B*(A*v1)))) = B*v1 |
| 207 | 125 : v1*(I(A*v1)*(B*(B*A))) = B*B |
| 208 | 126 : I(A*v2)*(B*(A*v1)) = I(v2)*(B*v1) |
| 209 | Rule 124 deleted |
| 210 | Rule 123 deleted |
| 211 | Rule 81 deleted |
| 212 | 127 : v3*(v2*(v1*I(v3*(v2*v1)))) = U |
| 213 | 128 : v2*I(v1*v2) = I(v1) |
| 214 | Rule 89 deleted |
| 215 | 129 : A*I(B) = I(B)*A |
| 216 | Rule 90 deleted |
| 217 | 130 : I(v2*v1) = I(v1)*I(v2) |
| 218 | Rule 128 deleted |
| 219 | Rule 127 deleted |
| 220 | Rule 126 deleted |
| 221 | Rule 125 deleted |
| 222 | Rule 122 deleted |
| 223 | Rule 121 deleted |
| 224 | Rule 120 deleted |
| 225 | Rule 119 deleted |
| 226 | Rule 117 deleted |
| 227 | Rule 115 deleted |
| 228 | Rule 109 deleted |
| 229 | Rule 107 deleted |
| 230 | Rule 106 deleted |
| 231 | Rule 105 deleted |
| 232 | Rule 101 deleted |
| 233 | Rule 99 deleted |
| 234 | Rule 98 deleted |
| 235 | Rule 94 deleted |
| 236 | Rule 91 deleted |
| 237 | 131 : B*(C*(A*(C*(I(B)*(A*v1))))) = v1 |
| 238 | 132 : B*(C*(A*(C*(I(B)*A)))) = U |
| 239 | 133 : C*(A*(C*(I(B)*A))) = I(B) |
| 240 | Rule 132 deleted |
| 241 | 134 : A*(I(B)*v1) = I(B)*(A*v1) |
| 242 | Rule 100 deleted |
| 243 | 135 : C*I(B) = I(B)*C |
| 244 | Rule 102 deleted |
| 245 | 136 : C*(I(B)*v1) = I(B)*(C*v1) |
| 246 | Rule 133 deleted |
| 247 | Rule 131 deleted |
| 248 | Rule 103 deleted |
| 249 | Canonical set found : |
| 250 | 1 : U*v1 = v1 |
| 251 | 2 : I(v1)*v1 = U |
| 252 | 3 : (v3*v2)*v1 = v3*(v2*v1) |
| 253 | 4 : A*B = B*A |
| 254 | 5 : C*C = U |
| 255 | 6 : I(A) = C*(A*C) |
| 256 | 8 : I(v2)*(v2*v1) = v1 |
| 257 | 9 : A*(B*v1) = B*(A*v1) |
| 258 | 10 : C*(C*v1) = v1 |
| 259 | 21 : v1*U = v1 |
| 260 | 22 : I(C) = C |
| 261 | 23 : C*B = B*C |
| 262 | 38 : v1*I(v1) = U |
| 263 | 40 : v2*(I(v2)*v1) = v1 |
| 264 | 41 : I(U) = U |
| 265 | 42 : I(I(v1)) = v1 |
| 266 | 43 : C*(B*v1) = B*(C*v1) |
| 267 | 44 : A*(C*(A*v1)) = C*v1 |
| 268 | 45 : A*(C*A) = C |
| 269 | 129 : A*I(B) = I(B)*A |
| 270 | 130 : I(v2*v1) = I(v1)*I(v2) |
| 271 | 134 : A*(I(B)*v1) = I(B)*(A*v1) |
| 272 | 135 : C*I(B) = I(B)*C |
| 273 | 136 : C*(I(B)*v1) = I(B)*(C*v1) |
| 274 | 1 : U*v1 = v1 |
| 275 | 2 : I(v1)*v1 = U |
| 276 | 3 : (v3*v2)*v1 = v3*(v2*v1) |
| 277 | 4 : A*B = B*A |
| 278 | 5 : C*C = U |
| 279 | 6 : I(A) = C*(A*I(C)) |
| 280 | 7 : C*(B*I(C)) = B |
| 281 | 8 : I(v2)*(v2*v1) = v1 |
| 282 | 9 : A*(B*v1) = B*(A*v1) |
| 283 | 10 : C*(C*v1) = v1 |
| 284 | 11 : C*(A*(I(C)*A)) = U |
| 285 | 12 : C*(B*(I(C)*v1)) = B*v1 |
| 286 | 13 : I(U)*v1 = v1 |
| 287 | 14 : I(I(v1))*U = v1 |
| 288 | 15 : I(v3*v2)*(v3*(v2*v1)) = v1 |
| 289 | 16 : C*(A*(I(C)*(B*A))) = B |
| 290 | 17 : I(C)*U = C |
| 291 | 18 : C*(A*(I(C)*(A*v1))) = v1 |
| 292 | 19 : I(C)*B = B*I(C) |
| 293 | 20 : I(I(v2))*v1 = v2*v1 |
| 294 | Rule 14 deleted |
| 295 | 21 : v1*U = v1 |
| 296 | Rule 17 deleted |
| 297 | 22 : I(C) = C |
| 298 | Rule 19 deleted |
| 299 | Rule 18 deleted |
| 300 | Rule 16 deleted |
| 301 | Rule 12 deleted |
| 302 | Rule 11 deleted |
| 303 | Rule 7 deleted |
| 304 | 23 : C*B = B*C |
| 305 | 24 : C*(A*(C*(A*v1))) = v1 |
| 306 | 25 : C*(A*(C*(B*A))) = B |
| 307 | 26 : C*(B*(C*v1)) = B*v1 |
| 308 | 27 : C*(A*(C*A)) = U |
| 309 | 28 : C*(B*C) = B |
| 310 | 29 : C*(A*(C*(B*(A*v1)))) = B*v1 |
| 311 | 30 : I(I(v2*v1)*v2) = v1 |
| 312 | 31 : I(v2*I(v1))*v2 = v1 |
| 313 | 32 : I(v4*(v3*v2))*(v4*(v3*(v2*v1))) = v1 |
| 314 | 33 : I(v1*A)*(v1*(B*A)) = B |
| 315 | 34 : I(v1*C)*v1 = C |
| 316 | 35 : I(v3*I(v2))*(v3*v1) = v2*v1 |
| 317 | 36 : I(v2*A)*(v2*(B*(A*v1))) = B*v1 |
| 318 | 37 : I(v2*C)*(v2*v1) = C*v1 |
| 319 | 38 : v1*I(v1) = U |
| 320 | 39 : I(C*(A*C))*v1 = A*v1 |
| 321 | 40 : v2*(I(v2)*v1) = v1 |
| 322 | 41 : I(U) = U |
| 323 | Rule 13 deleted |
| 324 | 42 : I(I(v1)) = v1 |
| 325 | Rule 20 deleted |
| 326 | 43 : C*(B*v1) = B*(C*v1) |
| 327 | Rule 29 deleted |
| 328 | Rule 28 deleted |
| 329 | Rule 26 deleted |
| 330 | Rule 25 deleted |
| 331 | 44 : A*(C*(A*v1)) = C*v1 |
| 332 | Rule 24 deleted |
| 333 | 45 : A*(C*A) = C |
| 334 | Rule 27 deleted |
| 335 | 46 : v2*(I(v1*v2)*v1) = U |
| 336 | 47 : I(I(v3*(v2*v1))*(v3*v2)) = v1 |
| 337 | 48 : I(I(B*A)*A) = B |
| 338 | 49 : v3*(I(v2*v3)*(v2*v1)) = v1 |
| 339 | 50 : I(I(v2)*I(v1)) = v1*v2 |
| 340 | 51 : I(I(B*(A*v1))*A) = B*v1 |
| 341 | 52 : I(I(v1)*C) = C*v1 |
| 342 | 53 : I(v2*I(v1*v2)) = v1 |
| 343 | 54 : I(v3*(v2*I(v1)))*(v3*v2) = v1 |
| 344 | 55 : I(v1*(C*(A*C)))*v1 = A |
| 345 | 56 : v2*I(I(v1)*v2) = v1 |
| 346 | 57 : I(v3*(I(v2*v1)*v2))*v3 = v1 |
| 347 | 58 : I(v5*(v4*(v3*v2)))*(v5*(v4*(v3*(v2*v1)))) = v1 |
| 348 | 59 : I(v2*(v1*A))*(v2*(v1*(B*A))) = B |
| 349 | 60 : I(v2*(v1*C))*(v2*v1) = C |
| 350 | 61 : I(v4*(v3*I(v2)))*(v4*(v3*v1)) = v2*v1 |
| 351 | 62 : I(v3*(v2*A))*(v3*(v2*(B*(A*v1)))) = B*v1 |
| 352 | 63 : I(v3*(v2*C))*(v3*(v2*v1)) = C*v1 |
| 353 | 64 : I(v4*(I(v3*v2)*v3))*(v4*v1) = v2*v1 |
| 354 | 65 : v4*(I(v3*(v2*v4))*(v3*(v2*v1))) = v1 |
| 355 | 66 : I(I(B)*A)*A = B |
| 356 | 67 : I(A*A)*(B*(A*A)) = B |
| 357 | 68 : v1*(I(A*v1)*(B*A)) = B |
| 358 | 69 : I(I(v1*A)*(v1*B))*B = A |
| 359 | 70 : v1*I(C*v1) = C |
| 360 | 71 : I(A*I(v1))*(B*A) = v1*B |
| 361 | 72 : I(C*I(v1)) = v1*C |
| 362 | 73 : I(v2*(C*(A*C)))*(v2*v1) = A*v1 |
| 363 | 74 : I(A*I(v2))*(B*(A*v1)) = v2*(B*v1) |
| 364 | 75 : v3*(I(I(v2)*v3)*v1) = v2*v1 |
| 365 | 76 : I(I(B*I(v1))*A)*(v1*A) = B |
| 366 | 77 : I(v1*A)*(v1*(B*(B*A))) = B*B |
| 367 | 78 : I(I(B)*A)*(A*v1) = B*v1 |
| 368 | 79 : I(A*A)*(B*(A*(A*v1))) = B*v1 |
| 369 | 80 : I(v2*A)*(v2*(B*(B*(A*v1)))) = B*(B*v1) |
| 370 | 81 : v2*(I(A*v2)*(B*(A*v1))) = B*v1 |
| 371 | 82 : I(I(v2*A)*(v2*B))*(B*v1) = A*v1 |
| 372 | 83 : I(I(B*I(v2))*A)*(v2*(A*v1)) = B*v1 |
| 373 | 84 : I(A*C)*(B*A) = B*C |
| 374 | 85 : I(A*C)*(B*(A*v1)) = B*(C*v1) |
| 375 | 86 : v2*(I(C*v2)*v1) = C*v1 |
| 376 | 87 : I(I(B*C)*A)*(C*A) = B |
| 377 | 88 : I(I(B*C)*A)*(C*(A*v1)) = B*v1 |
| 378 | 89 : v2*(v1*I(v2*v1)) = U |
| 379 | 90 : B*(A*I(B)) = A |
| 380 | 91 : I(v2*v1)*v2 = I(v1) |
| 381 | Rule 64 deleted |
| 382 | Rule 57 deleted |
| 383 | Rule 55 deleted |
| 384 | Rule 46 deleted |
| 385 | Rule 34 deleted |
| 386 | Rule 31 deleted |
| 387 | Rule 30 deleted |
| 388 | 92 : I(C*(A*C)) = A |
| 389 | Rule 39 deleted |
| 390 | 93 : I(v3*(v2*v1))*(v3*v2) = I(v1) |
| 391 | Rule 60 deleted |
| 392 | Rule 54 deleted |
| 393 | Rule 47 deleted |
| 394 | 94 : I(v2*I(v1)) = v1*I(v2) |
| 395 | Rule 83 deleted |
| 396 | Rule 76 deleted |
| 397 | Rule 74 deleted |
| 398 | Rule 72 deleted |
| 399 | Rule 71 deleted |
| 400 | Rule 53 deleted |
| 401 | Rule 50 deleted |
| 402 | Rule 35 deleted |
| 403 | 95 : I(v2*(I(B)*A))*(v2*(A*v1)) = B*v1 |
| 404 | 96 : I(v1*(I(B)*A))*(v1*A) = B |
| 405 | 97 : I(v1*A)*(v1*B) = B*(C*(A*C)) |
| 406 | Rule 82 deleted |
| 407 | Rule 69 deleted |
| 408 | 98 : I(v1*C) = C*I(v1) |
| 409 | Rule 88 deleted |
| 410 | Rule 87 deleted |
| 411 | Rule 85 deleted |
| 412 | Rule 84 deleted |
| 413 | Rule 52 deleted |
| 414 | Rule 37 deleted |
| 415 | 99 : v3*(v2*(I(v3*v2)*v1)) = v1 |
| 416 | 100 : B*(A*(I(B)*v1)) = A*v1 |
| 417 | 101 : I(v3*v2)*(v3*v1) = I(v2)*v1 |
| 418 | Rule 97 deleted |
| 419 | Rule 96 deleted |
| 420 | Rule 95 deleted |
| 421 | Rule 93 deleted |
| 422 | Rule 80 deleted |
| 423 | Rule 77 deleted |
| 424 | Rule 73 deleted |
| 425 | Rule 65 deleted |
| 426 | Rule 63 deleted |
| 427 | Rule 62 deleted |
| 428 | Rule 61 deleted |
| 429 | Rule 59 deleted |
| 430 | Rule 58 deleted |
| 431 | Rule 49 deleted |
| 432 | Rule 36 deleted |
| 433 | Rule 33 deleted |
| 434 | Rule 32 deleted |
| 435 | Rule 15 deleted |
| 436 | 102 : B*(C*I(B)) = C |
| 437 | 103 : B*(C*(I(B)*v1)) = C*v1 |
| 438 | 104 : B*(I(B*A)*A) = U |
| 439 | 105 : B*(I(B*A)*(A*v1)) = v1 |
| 440 | 106 : I(B*A)*A = I(B) |
| 441 | Rule 104 deleted |
| 442 | Rule 48 deleted |
| 443 | 107 : B*(v1*(I(B*(A*v1))*A)) = U |
| 444 | 108 : I(I(B*(B*A))*A) = B*B |
| 445 | 109 : B*(v2*(I(B*(A*v2))*(A*v1))) = v1 |
| 446 | 110 : I(I(B*(B*(A*v1)))*A) = B*(B*v1) |
| 447 | 111 : I(I(B)*A) = B*(C*(A*C)) |
| 448 | Rule 78 deleted |
| 449 | Rule 66 deleted |
| 450 | 112 : I(I(B*v1)*A) = B*(C*(A*(C*v1))) |
| 451 | Rule 110 deleted |
| 452 | Rule 108 deleted |
| 453 | Rule 51 deleted |
| 454 | 113 : v3*(v2*I(I(v1)*(v3*v2))) = v1 |
| 455 | 114 : v1*I(C*(A*(C*v1))) = A |
| 456 | 115 : I(I(v2)*v1) = I(v1)*v2 |
| 457 | Rule 113 deleted |
| 458 | Rule 112 deleted |
| 459 | Rule 111 deleted |
| 460 | Rule 75 deleted |
| 461 | Rule 56 deleted |
| 462 | 116 : v2*(v1*(I(A*(v2*v1))*(B*A))) = B |
| 463 | 117 : I(A*v1)*(B*A) = I(v1)*B |
| 464 | Rule 116 deleted |
| 465 | Rule 68 deleted |
| 466 | 118 : v2*(v1*I(C*(v2*v1))) = C |
| 467 | 119 : I(C*v1) = I(v1)*C |
| 468 | Rule 118 deleted |
| 469 | Rule 114 deleted |
| 470 | Rule 92 deleted |
| 471 | Rule 86 deleted |
| 472 | Rule 70 deleted |
| 473 | 120 : v1*(I(A*(C*v1))*C) = A |
| 474 | 121 : I(A*A)*(B*(B*(A*A))) = B*B |
| 475 | 122 : I(A*A)*(B*(B*(A*(A*v1)))) = B*(B*v1) |
| 476 | 123 : I(A*A)*(B*(A*v1)) = B*(C*(A*(C*v1))) |
| 477 | Rule 79 deleted |
| 478 | Rule 67 deleted |
| 479 | 124 : v3*(v2*(I(A*(v3*v2))*(B*(A*v1)))) = B*v1 |
| 480 | 125 : v1*(I(A*v1)*(B*(B*A))) = B*B |
| 481 | 126 : I(A*v2)*(B*(A*v1)) = I(v2)*(B*v1) |
| 482 | Rule 124 deleted |
| 483 | Rule 123 deleted |
| 484 | Rule 81 deleted |
| 485 | 127 : v3*(v2*(v1*I(v3*(v2*v1)))) = U |
| 486 | 128 : v2*I(v1*v2) = I(v1) |
| 487 | Rule 89 deleted |
| 488 | 129 : A*I(B) = I(B)*A |
| 489 | Rule 90 deleted |
| 490 | 130 : I(v2*v1) = I(v1)*I(v2) |
| 491 | Rule 128 deleted |
| 492 | Rule 127 deleted |
| 493 | Rule 126 deleted |
| 494 | Rule 125 deleted |
| 495 | Rule 122 deleted |
| 496 | Rule 121 deleted |
| 497 | Rule 120 deleted |
| 498 | Rule 119 deleted |
| 499 | Rule 117 deleted |
| 500 | Rule 115 deleted |
| 501 | Rule 109 deleted |
| 502 | Rule 107 deleted |
| 503 | Rule 106 deleted |
| 504 | Rule 105 deleted |
| 505 | Rule 101 deleted |
| 506 | Rule 99 deleted |
| 507 | Rule 98 deleted |
| 508 | Rule 94 deleted |
| 509 | Rule 91 deleted |
| 510 | 131 : B*(C*(A*(C*(I(B)*(A*v1))))) = v1 |
| 511 | 132 : B*(C*(A*(C*(I(B)*A)))) = U |
| 512 | 133 : C*(A*(C*(I(B)*A))) = I(B) |
| 513 | Rule 132 deleted |
| 514 | 134 : A*(I(B)*v1) = I(B)*(A*v1) |
| 515 | Rule 100 deleted |
| 516 | 135 : C*I(B) = I(B)*C |
| 517 | Rule 102 deleted |
| 518 | 136 : C*(I(B)*v1) = I(B)*(C*v1) |
| 519 | Rule 133 deleted |
| 520 | Rule 131 deleted |
| 521 | Rule 103 deleted |
| 522 | Canonical set found : |
| 523 | 1 : U*v1 = v1 |
| 524 | 2 : I(v1)*v1 = U |
| 525 | 3 : (v3*v2)*v1 = v3*(v2*v1) |
| 526 | 4 : A*B = B*A |
| 527 | 5 : C*C = U |
| 528 | 6 : I(A) = C*(A*C) |
| 529 | 8 : I(v2)*(v2*v1) = v1 |
| 530 | 9 : A*(B*v1) = B*(A*v1) |
| 531 | 10 : C*(C*v1) = v1 |
| 532 | 21 : v1*U = v1 |
| 533 | 22 : I(C) = C |
| 534 | 23 : C*B = B*C |
| 535 | 38 : v1*I(v1) = U |
| 536 | 40 : v2*(I(v2)*v1) = v1 |
| 537 | 41 : I(U) = U |
| 538 | 42 : I(I(v1)) = v1 |
| 539 | 43 : C*(B*v1) = B*(C*v1) |
| 540 | 44 : A*(C*(A*v1)) = C*v1 |
| 541 | 45 : A*(C*A) = C |
| 542 | 129 : A*I(B) = I(B)*A |
| 543 | 130 : I(v2*v1) = I(v1)*I(v2) |
| 544 | 134 : A*(I(B)*v1) = I(B)*(A*v1) |
| 545 | 135 : C*I(B) = I(B)*C |
| 546 | 136 : C*(I(B)*v1) = I(B)*(C*v1) |
| 547 | 1 : U*v1 = v1 |
| 548 | 2 : I(v1)*v1 = U |
| 549 | 3 : (v3*v2)*v1 = v3*(v2*v1) |
| 550 | 4 : A*B = B*A |
| 551 | 5 : C*C = U |
| 552 | 6 : I(A) = C*(A*I(C)) |
| 553 | 7 : C*(B*I(C)) = B |
| 554 | 8 : I(v2)*(v2*v1) = v1 |
| 555 | 9 : A*(B*v1) = B*(A*v1) |
| 556 | 10 : C*(C*v1) = v1 |
| 557 | 11 : C*(A*(I(C)*A)) = U |
| 558 | 12 : C*(B*(I(C)*v1)) = B*v1 |
| 559 | 13 : I(U)*v1 = v1 |
| 560 | 14 : I(I(v1))*U = v1 |
| 561 | 15 : I(v3*v2)*(v3*(v2*v1)) = v1 |
| 562 | 16 : C*(A*(I(C)*(B*A))) = B |
| 563 | 17 : I(C)*U = C |
| 564 | 18 : C*(A*(I(C)*(A*v1))) = v1 |
| 565 | 19 : I(C)*B = B*I(C) |
| 566 | 20 : I(I(v2))*v1 = v2*v1 |
| 567 | Rule 14 deleted |
| 568 | 21 : v1*U = v1 |
| 569 | Rule 17 deleted |
| 570 | 22 : I(C) = C |
| 571 | Rule 19 deleted |
| 572 | Rule 18 deleted |
| 573 | Rule 16 deleted |
| 574 | Rule 12 deleted |
| 575 | Rule 11 deleted |
| 576 | Rule 7 deleted |
| 577 | 23 : C*B = B*C |
| 578 | 24 : C*(A*(C*(A*v1))) = v1 |
| 579 | 25 : C*(A*(C*(B*A))) = B |
| 580 | 26 : C*(B*(C*v1)) = B*v1 |
| 581 | 27 : C*(A*(C*A)) = U |
| 582 | 28 : C*(B*C) = B |
| 583 | 29 : C*(A*(C*(B*(A*v1)))) = B*v1 |
| 584 | 30 : I(I(v2*v1)*v2) = v1 |
| 585 | 31 : I(v2*I(v1))*v2 = v1 |
| 586 | 32 : I(v4*(v3*v2))*(v4*(v3*(v2*v1))) = v1 |
| 587 | 33 : I(v1*A)*(v1*(B*A)) = B |
| 588 | 34 : I(v1*C)*v1 = C |
| 589 | 35 : I(v3*I(v2))*(v3*v1) = v2*v1 |
| 590 | 36 : I(v2*A)*(v2*(B*(A*v1))) = B*v1 |
| 591 | 37 : I(v2*C)*(v2*v1) = C*v1 |
| 592 | 38 : v1*I(v1) = U |
| 593 | 39 : I(C*(A*C))*v1 = A*v1 |
| 594 | 40 : v2*(I(v2)*v1) = v1 |
| 595 | 41 : I(U) = U |
| 596 | Rule 13 deleted |
| 597 | 42 : I(I(v1)) = v1 |
| 598 | Rule 20 deleted |
| 599 | 43 : C*(B*v1) = B*(C*v1) |
| 600 | Rule 29 deleted |
| 601 | Rule 28 deleted |
| 602 | Rule 26 deleted |
| 603 | Rule 25 deleted |
| 604 | 44 : A*(C*(A*v1)) = C*v1 |
| 605 | Rule 24 deleted |
| 606 | 45 : A*(C*A) = C |
| 607 | Rule 27 deleted |
| 608 | 46 : v2*(I(v1*v2)*v1) = U |
| 609 | 47 : I(I(v3*(v2*v1))*(v3*v2)) = v1 |
| 610 | 48 : I(I(B*A)*A) = B |
| 611 | 49 : v3*(I(v2*v3)*(v2*v1)) = v1 |
| 612 | 50 : I(I(v2)*I(v1)) = v1*v2 |
| 613 | 51 : I(I(B*(A*v1))*A) = B*v1 |
| 614 | 52 : I(I(v1)*C) = C*v1 |
| 615 | 53 : I(v2*I(v1*v2)) = v1 |
| 616 | 54 : I(v3*(v2*I(v1)))*(v3*v2) = v1 |
| 617 | 55 : I(v1*(C*(A*C)))*v1 = A |
| 618 | 56 : v2*I(I(v1)*v2) = v1 |
| 619 | 57 : I(v3*(I(v2*v1)*v2))*v3 = v1 |
| 620 | 58 : I(v5*(v4*(v3*v2)))*(v5*(v4*(v3*(v2*v1)))) = v1 |
| 621 | 59 : I(v2*(v1*A))*(v2*(v1*(B*A))) = B |
| 622 | 60 : I(v2*(v1*C))*(v2*v1) = C |
| 623 | 61 : I(v4*(v3*I(v2)))*(v4*(v3*v1)) = v2*v1 |
| 624 | 62 : I(v3*(v2*A))*(v3*(v2*(B*(A*v1)))) = B*v1 |
| 625 | 63 : I(v3*(v2*C))*(v3*(v2*v1)) = C*v1 |
| 626 | 64 : I(v4*(I(v3*v2)*v3))*(v4*v1) = v2*v1 |
| 627 | 65 : v4*(I(v3*(v2*v4))*(v3*(v2*v1))) = v1 |
| 628 | 66 : I(I(B)*A)*A = B |
| 629 | 67 : I(A*A)*(B*(A*A)) = B |
| 630 | 68 : v1*(I(A*v1)*(B*A)) = B |
| 631 | 69 : I(I(v1*A)*(v1*B))*B = A |
| 632 | 70 : v1*I(C*v1) = C |
| 633 | 71 : I(A*I(v1))*(B*A) = v1*B |
| 634 | 72 : I(C*I(v1)) = v1*C |
| 635 | 73 : I(v2*(C*(A*C)))*(v2*v1) = A*v1 |
| 636 | 74 : I(A*I(v2))*(B*(A*v1)) = v2*(B*v1) |
| 637 | 75 : v3*(I(I(v2)*v3)*v1) = v2*v1 |
| 638 | 76 : I(I(B*I(v1))*A)*(v1*A) = B |
| 639 | 77 : I(v1*A)*(v1*(B*(B*A))) = B*B |
| 640 | 78 : I(I(B)*A)*(A*v1) = B*v1 |
| 641 | 79 : I(A*A)*(B*(A*(A*v1))) = B*v1 |
| 642 | 80 : I(v2*A)*(v2*(B*(B*(A*v1)))) = B*(B*v1) |
| 643 | 81 : v2*(I(A*v2)*(B*(A*v1))) = B*v1 |
| 644 | 82 : I(I(v2*A)*(v2*B))*(B*v1) = A*v1 |
| 645 | 83 : I(I(B*I(v2))*A)*(v2*(A*v1)) = B*v1 |
| 646 | 84 : I(A*C)*(B*A) = B*C |
| 647 | 85 : I(A*C)*(B*(A*v1)) = B*(C*v1) |
| 648 | 86 : v2*(I(C*v2)*v1) = C*v1 |
| 649 | 87 : I(I(B*C)*A)*(C*A) = B |
| 650 | 88 : I(I(B*C)*A)*(C*(A*v1)) = B*v1 |
| 651 | 89 : v2*(v1*I(v2*v1)) = U |
| 652 | 90 : B*(A*I(B)) = A |
| 653 | 91 : I(v2*v1)*v2 = I(v1) |
| 654 | Rule 64 deleted |
| 655 | Rule 57 deleted |
| 656 | Rule 55 deleted |
| 657 | Rule 46 deleted |
| 658 | Rule 34 deleted |
| 659 | Rule 31 deleted |
| 660 | Rule 30 deleted |
| 661 | 92 : I(C*(A*C)) = A |
| 662 | Rule 39 deleted |
| 663 | 93 : I(v3*(v2*v1))*(v3*v2) = I(v1) |
| 664 | Rule 60 deleted |
| 665 | Rule 54 deleted |
| 666 | Rule 47 deleted |
| 667 | 94 : I(v2*I(v1)) = v1*I(v2) |
| 668 | Rule 83 deleted |
| 669 | Rule 76 deleted |
| 670 | Rule 74 deleted |
| 671 | Rule 72 deleted |
| 672 | Rule 71 deleted |
| 673 | Rule 53 deleted |
| 674 | Rule 50 deleted |
| 675 | Rule 35 deleted |
| 676 | 95 : I(v2*(I(B)*A))*(v2*(A*v1)) = B*v1 |
| 677 | 96 : I(v1*(I(B)*A))*(v1*A) = B |
| 678 | 97 : I(v1*A)*(v1*B) = B*(C*(A*C)) |
| 679 | Rule 82 deleted |
| 680 | Rule 69 deleted |
| 681 | 98 : I(v1*C) = C*I(v1) |
| 682 | Rule 88 deleted |
| 683 | Rule 87 deleted |
| 684 | Rule 85 deleted |
| 685 | Rule 84 deleted |
| 686 | Rule 52 deleted |
| 687 | Rule 37 deleted |
| 688 | 99 : v3*(v2*(I(v3*v2)*v1)) = v1 |
| 689 | 100 : B*(A*(I(B)*v1)) = A*v1 |
| 690 | 101 : I(v3*v2)*(v3*v1) = I(v2)*v1 |
| 691 | Rule 97 deleted |
| 692 | Rule 96 deleted |
| 693 | Rule 95 deleted |
| 694 | Rule 93 deleted |
| 695 | Rule 80 deleted |
| 696 | Rule 77 deleted |
| 697 | Rule 73 deleted |
| 698 | Rule 65 deleted |
| 699 | Rule 63 deleted |
| 700 | Rule 62 deleted |
| 701 | Rule 61 deleted |
| 702 | Rule 59 deleted |
| 703 | Rule 58 deleted |
| 704 | Rule 49 deleted |
| 705 | Rule 36 deleted |
| 706 | Rule 33 deleted |
| 707 | Rule 32 deleted |
| 708 | Rule 15 deleted |
| 709 | 102 : B*(C*I(B)) = C |
| 710 | 103 : B*(C*(I(B)*v1)) = C*v1 |
| 711 | 104 : B*(I(B*A)*A) = U |
| 712 | 105 : B*(I(B*A)*(A*v1)) = v1 |
| 713 | 106 : I(B*A)*A = I(B) |
| 714 | Rule 104 deleted |
| 715 | Rule 48 deleted |
| 716 | 107 : B*(v1*(I(B*(A*v1))*A)) = U |
| 717 | 108 : I(I(B*(B*A))*A) = B*B |
| 718 | 109 : B*(v2*(I(B*(A*v2))*(A*v1))) = v1 |
| 719 | 110 : I(I(B*(B*(A*v1)))*A) = B*(B*v1) |
| 720 | 111 : I(I(B)*A) = B*(C*(A*C)) |
| 721 | Rule 78 deleted |
| 722 | Rule 66 deleted |
| 723 | 112 : I(I(B*v1)*A) = B*(C*(A*(C*v1))) |
| 724 | Rule 110 deleted |
| 725 | Rule 108 deleted |
| 726 | Rule 51 deleted |
| 727 | 113 : v3*(v2*I(I(v1)*(v3*v2))) = v1 |
| 728 | 114 : v1*I(C*(A*(C*v1))) = A |
| 729 | 115 : I(I(v2)*v1) = I(v1)*v2 |
| 730 | Rule 113 deleted |
| 731 | Rule 112 deleted |
| 732 | Rule 111 deleted |
| 733 | Rule 75 deleted |
| 734 | Rule 56 deleted |
| 735 | 116 : v2*(v1*(I(A*(v2*v1))*(B*A))) = B |
| 736 | 117 : I(A*v1)*(B*A) = I(v1)*B |
| 737 | Rule 116 deleted |
| 738 | Rule 68 deleted |
| 739 | 118 : v2*(v1*I(C*(v2*v1))) = C |
| 740 | 119 : I(C*v1) = I(v1)*C |
| 741 | Rule 118 deleted |
| 742 | Rule 114 deleted |
| 743 | Rule 92 deleted |
| 744 | Rule 86 deleted |
| 745 | Rule 70 deleted |
| 746 | 120 : v1*(I(A*(C*v1))*C) = A |
| 747 | 121 : I(A*A)*(B*(B*(A*A))) = B*B |
| 748 | 122 : I(A*A)*(B*(B*(A*(A*v1)))) = B*(B*v1) |
| 749 | 123 : I(A*A)*(B*(A*v1)) = B*(C*(A*(C*v1))) |
| 750 | Rule 79 deleted |
| 751 | Rule 67 deleted |
| 752 | 124 : v3*(v2*(I(A*(v3*v2))*(B*(A*v1)))) = B*v1 |
| 753 | 125 : v1*(I(A*v1)*(B*(B*A))) = B*B |
| 754 | 126 : I(A*v2)*(B*(A*v1)) = I(v2)*(B*v1) |
| 755 | Rule 124 deleted |
| 756 | Rule 123 deleted |
| 757 | Rule 81 deleted |
| 758 | 127 : v3*(v2*(v1*I(v3*(v2*v1)))) = U |
| 759 | 128 : v2*I(v1*v2) = I(v1) |
| 760 | Rule 89 deleted |
| 761 | 129 : A*I(B) = I(B)*A |
| 762 | Rule 90 deleted |
| 763 | 130 : I(v2*v1) = I(v1)*I(v2) |
| 764 | Rule 128 deleted |
| 765 | Rule 127 deleted |
| 766 | Rule 126 deleted |
| 767 | Rule 125 deleted |
| 768 | Rule 122 deleted |
| 769 | Rule 121 deleted |
| 770 | Rule 120 deleted |
| 771 | Rule 119 deleted |
| 772 | Rule 117 deleted |
| 773 | Rule 115 deleted |
| 774 | Rule 109 deleted |
| 775 | Rule 107 deleted |
| 776 | Rule 106 deleted |
| 777 | Rule 105 deleted |
| 778 | Rule 101 deleted |
| 779 | Rule 99 deleted |
| 780 | Rule 98 deleted |
| 781 | Rule 94 deleted |
| 782 | Rule 91 deleted |
| 783 | 131 : B*(C*(A*(C*(I(B)*(A*v1))))) = v1 |
| 784 | 132 : B*(C*(A*(C*(I(B)*A)))) = U |
| 785 | 133 : C*(A*(C*(I(B)*A))) = I(B) |
| 786 | Rule 132 deleted |
| 787 | 134 : A*(I(B)*v1) = I(B)*(A*v1) |
| 788 | Rule 100 deleted |
| 789 | 135 : C*I(B) = I(B)*C |
| 790 | Rule 102 deleted |
| 791 | 136 : C*(I(B)*v1) = I(B)*(C*v1) |
| 792 | Rule 133 deleted |
| 793 | Rule 131 deleted |
| 794 | Rule 103 deleted |
| 795 | Canonical set found : |
| 796 | 1 : U*v1 = v1 |
| 797 | 2 : I(v1)*v1 = U |
| 798 | 3 : (v3*v2)*v1 = v3*(v2*v1) |
| 799 | 4 : A*B = B*A |
| 800 | 5 : C*C = U |
| 801 | 6 : I(A) = C*(A*C) |
| 802 | 8 : I(v2)*(v2*v1) = v1 |
| 803 | 9 : A*(B*v1) = B*(A*v1) |
| 804 | 10 : C*(C*v1) = v1 |
| 805 | 21 : v1*U = v1 |
| 806 | 22 : I(C) = C |
| 807 | 23 : C*B = B*C |
| 808 | 38 : v1*I(v1) = U |
| 809 | 40 : v2*(I(v2)*v1) = v1 |
| 810 | 41 : I(U) = U |
| 811 | 42 : I(I(v1)) = v1 |
| 812 | 43 : C*(B*v1) = B*(C*v1) |
| 813 | 44 : A*(C*(A*v1)) = C*v1 |
| 814 | 45 : A*(C*A) = C |
| 815 | 129 : A*I(B) = I(B)*A |
| 816 | 130 : I(v2*v1) = I(v1)*I(v2) |
| 817 | 134 : A*(I(B)*v1) = I(B)*(A*v1) |
| 818 | 135 : C*I(B) = I(B)*C |
| 819 | 136 : C*(I(B)*v1) = I(B)*(C*v1) |