Spaces:
Running
Running
File size: 88,610 Bytes
be3b34d |
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 460 461 462 463 464 465 466 467 468 469 470 471 472 473 474 475 476 477 478 479 480 481 482 483 484 485 486 487 488 489 490 491 492 493 494 495 496 497 498 499 500 501 502 503 504 505 506 507 508 509 510 511 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 528 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 544 545 546 547 548 549 550 551 552 553 554 555 556 557 558 559 560 561 562 563 564 565 566 567 568 569 570 571 572 573 574 575 576 577 578 579 580 581 582 583 584 585 586 587 588 589 590 591 592 593 594 595 596 597 598 599 600 601 602 603 604 605 606 607 608 609 610 611 612 613 614 615 616 617 618 619 620 621 622 623 624 625 626 627 628 629 630 631 632 633 634 635 636 637 638 639 640 641 642 643 644 645 646 647 648 649 650 651 652 653 654 655 656 657 658 659 660 661 662 663 664 665 666 667 668 669 670 671 672 673 674 675 676 677 678 679 680 681 682 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 698 699 700 701 702 703 704 705 706 707 708 709 710 711 712 713 714 715 716 717 718 |
++ BATCH_SIZE=24
++ BEAM_SIZE=64
++ DEPTH=8
++ NWORKERS=8
++ PROB_FILE=/home/tong_peng/onedrive_googie32u/agtest/myexamples.txt
++ PROB=gaolian100-12
++ MODEL=alphageometry
++ DATA=/home/tong_peng/pyvenv/ag/ag_ckpt_vocab
++ MELIAD_PATH=/home/tong_peng/pyvenv/ag/meliad_lib/meliad
++ export PYTHONPATH=:/home/tong_peng/onedrive_googie32u/alphageometry:/home/tong_peng/pyvenv/ag:/home/tong_peng/pyvenv/ag/meliad_lib/meliad
++ PYTHONPATH=:/home/tong_peng/onedrive_googie32u/alphageometry:/home/tong_peng/pyvenv/ag:/home/tong_peng/pyvenv/ag/meliad_lib/meliad
++ DDAR_ARGS=(--defs_file=$AGDIR/defs.txt --rules_file=$AGDIR/rules.txt)
++ SEARCH_ARGS=(--beam_size=$BEAM_SIZE --search_depth=$DEPTH)
++ LM_ARGS=(--ckpt_path=$DATA --vocab_path=$DATA/geometry.757.model --gin_search_paths=$MELIAD_PATH/transformer/configs,$AGDIR --gin_file=base_htrans.gin --gin_file=size/medium_150M.gin --gin_file=options/positions_t5.gin --gin_file=options/lr_cosine_decay.gin --gin_file=options/seq_1024_nocache.gin --gin_file=geometry_150M_generate.gin --gin_param=DecoderOnlyLanguageModelGenerate.output_token_losses=True --gin_param=TransformerTaskConfig.batch_size=$BATCH_SIZE --gin_param=TransformerTaskConfig.sequence_length=128 --gin_param=Trainer.restore_state_variables=False)
++ true ==========================================
++ python -m alphageometry --alsologtostderr --problems_file=/home/tong_peng/onedrive_googie32u/agtest/myexamples.txt --problem_name=gaolian100-12 --mode=alphageometry --defs_file=/home/tong_peng/onedrive_googie32u/alphageometry/defs.txt --rules_file=/home/tong_peng/onedrive_googie32u/alphageometry/rules.txt --beam_size=64 --search_depth=8 --ckpt_path=/home/tong_peng/pyvenv/ag/ag_ckpt_vocab --vocab_path=/home/tong_peng/pyvenv/ag/ag_ckpt_vocab/geometry.757.model --gin_search_paths=/home/tong_peng/pyvenv/ag/meliad_lib/meliad/transformer/configs,/home/tong_peng/onedrive_googie32u/alphageometry --gin_file=base_htrans.gin --gin_file=size/medium_150M.gin --gin_file=options/positions_t5.gin --gin_file=options/lr_cosine_decay.gin --gin_file=options/seq_1024_nocache.gin --gin_file=geometry_150M_generate.gin --gin_param=DecoderOnlyLanguageModelGenerate.output_token_losses=True --gin_param=TransformerTaskConfig.batch_size=24 --gin_param=TransformerTaskConfig.sequence_length=128 --gin_param=Trainer.restore_state_variables=False --out_file=/home/tong_peng/onedrive_googie32u/agtest/ag.out --n_workers=8
I0406 21:02:04.637060 135279079972864 graph.py:498] gaolian100-12
I0406 21:02:04.637331 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f ? cong c g c h
I0406 21:02:08.278219 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:02:08.293032 135279079972864 alphageometry.py:522] Worker initializing. PID=2866
I0406 21:02:08.304146 135279079972864 alphageometry.py:522] Worker initializing. PID=2867
I0406 21:02:08.313952 135279079972864 alphageometry.py:522] Worker initializing. PID=2868
I0406 21:02:08.325267 135279079972864 alphageometry.py:522] Worker initializing. PID=2869
I0406 21:02:08.336427 135279079972864 alphageometry.py:522] Worker initializing. PID=2900
I0406 21:02:08.347604 135279079972864 alphageometry.py:522] Worker initializing. PID=2980
I0406 21:02:08.358955 135279079972864 alphageometry.py:522] Worker initializing. PID=3061
I0406 21:02:08.373842 135279079972864 alphageometry.py:651] Depth 0. There are 1 nodes to expand:
I0406 21:02:08.375748 135279079972864 alphageometry.py:655] {S} a : ; b : ; c : C a b c 00 D a c b c 01 ; d : D a c c d 02 ; e : D a c c e 03 ; f : C d e f 04 T a b b f 05 ; g : C a e g 06 C c f g 07 ; h : C a d h 08 C c f h 09 ? D c g c h {F1} x00
I0406 21:02:08.373595 135279079972864 alphageometry.py:522] Worker initializing. PID=3092
I0406 21:02:49.498787 135279079972864 alphageometry.py:527] Worker PID=2867 called for beam search node 0
I0406 21:02:49.499006 135279079972864 alphageometry.py:530] Worker PID=2867: Decoding from {S} a : ; b : ; c : C a b c 00 D a c b c 01 ; d : D a c c d 02 ; e : D a c c e 03 ; f : C d e f 04 T a b b f 05 ; g : C a e g 06 C c f g 07 ; h : C a d h 08 C c f h 09 ? D c g c h {F1} x00
I0406 21:13:56.945881 135279079972864 alphageometry.py:549] Worker PID=2867: Translation: "i = on_circle i a g, on_tline i a a g"
I0406 21:13:56.946334 135279079972864 graph.py:498]
I0406 21:13:56.946453 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_circle i a g, on_tline i a a g ? cong c g c h
I0406 21:14:03.930609 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:14:03.930845 135279079972864 alphageometry.py:549] Worker PID=2867: Translation: "i = on_tline i g a g"
I0406 21:14:03.931167 135279079972864 graph.py:498]
I0406 21:14:03.931272 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_tline i g a g ? cong c g c h
I0406 21:14:08.306693 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:14:08.306905 135279079972864 alphageometry.py:549] Worker PID=2867: Translation: "i = eqdistance i f b d, eqdistance i b d f"
I0406 21:14:08.307243 135279079972864 graph.py:498]
I0406 21:14:08.307356 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = eqdistance i f b d, eqdistance i b d f ? cong c g c h
I0406 21:14:16.438935 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:14:16.439152 135279079972864 alphageometry.py:549] Worker PID=2867: Translation: "i = on_tline i g c g"
I0406 21:14:16.439466 135279079972864 graph.py:498]
I0406 21:14:16.439598 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_tline i g c g ? cong c g c h
I0406 21:14:20.761389 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:14:20.761627 135279079972864 alphageometry.py:549] Worker PID=2867: Translation: "i = on_circle i d b, on_tline i d b d"
I0406 21:14:20.761930 135279079972864 graph.py:498]
I0406 21:14:20.762036 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_circle i d b, on_tline i d b d ? cong c g c h
I0406 21:14:30.414432 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:14:30.414695 135279079972864 alphageometry.py:549] Worker PID=2867: Translation: "i = on_circle i a g"
I0406 21:14:30.415171 135279079972864 graph.py:498]
I0406 21:14:30.415279 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_circle i a g ? cong c g c h
I0406 21:14:34.602563 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:14:34.602819 135279079972864 alphageometry.py:549] Worker PID=2867: Translation: "i = on_tline i a a d"
I0406 21:14:34.603156 135279079972864 graph.py:498]
I0406 21:14:34.603270 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_tline i a a d ? cong c g c h
I0406 21:14:38.816597 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:14:38.816833 135279079972864 alphageometry.py:549] Worker PID=2867: Translation: "i = eqdistance i e b d, on_pline i e b d"
I0406 21:14:38.817201 135279079972864 graph.py:498]
I0406 21:14:38.817309 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = eqdistance i e b d, on_pline i e b d ? cong c g c h
I0406 21:14:44.272838 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:14:44.273066 135279079972864 alphageometry.py:549] Worker PID=2867: Translation: "i = on_tline i f a d"
I0406 21:14:44.273362 135279079972864 graph.py:498]
I0406 21:14:44.273469 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_tline i f a d ? cong c g c h
I0406 21:14:48.564496 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:14:48.564748 135279079972864 alphageometry.py:549] Worker PID=2867: Translation: "i = on_circle i e b, on_tline i e b e"
I0406 21:14:48.565085 135279079972864 graph.py:498]
I0406 21:14:48.565196 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_circle i e b, on_tline i e b e ? cong c g c h
I0406 21:14:57.972463 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:14:57.972725 135279079972864 alphageometry.py:549] Worker PID=2867: Translation: "i = on_tline i c a d"
I0406 21:14:57.973040 135279079972864 graph.py:498]
I0406 21:14:57.973146 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_tline i c a d ? cong c g c h
I0406 21:15:04.119190 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:15:04.119508 135279079972864 alphageometry.py:549] Worker PID=2867: Translation: "i = eqdistance i e b d, eqdistance i b d e"
I0406 21:15:04.119842 135279079972864 graph.py:498]
I0406 21:15:04.119958 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = eqdistance i e b d, eqdistance i b d e ? cong c g c h
I0406 21:15:09.003309 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:15:09.003546 135279079972864 alphageometry.py:549] Worker PID=2867: Translation: "i = on_circle i d b, on_tline i b a d"
I0406 21:15:09.003843 135279079972864 graph.py:498]
I0406 21:15:09.003956 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_circle i d b, on_tline i b a d ? cong c g c h
I0406 21:15:16.884920 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:15:16.885142 135279079972864 alphageometry.py:549] Worker PID=2867: Translation: "i = on_tline i f a d, on_tline i a c f"
I0406 21:15:16.885437 135279079972864 graph.py:498]
I0406 21:15:16.885537 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_tline i f a d, on_tline i a c f ? cong c g c h
I0406 21:15:22.199810 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:15:22.200044 135279079972864 alphageometry.py:549] Worker PID=2867: Translation: "i = on_tline i d a d"
I0406 21:15:22.200363 135279079972864 graph.py:498]
I0406 21:15:22.200474 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_tline i d a d ? cong c g c h
I0406 21:15:27.122571 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:15:27.122815 135279079972864 alphageometry.py:549] Worker PID=2867: Translation: "i = on_tline i f c g"
I0406 21:15:27.123185 135279079972864 graph.py:498]
I0406 21:15:27.123303 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_tline i f c g ? cong c g c h
I0406 21:15:31.335536 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:15:31.335802 135279079972864 alphageometry.py:549] Worker PID=2867: Translation: "i = eqdistance i f b d, eqdistance i d b f"
I0406 21:15:31.336160 135279079972864 graph.py:498]
I0406 21:15:31.336274 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = eqdistance i f b d, eqdistance i d b f ? cong c g c h
I0406 21:15:36.526077 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:15:36.526310 135279079972864 alphageometry.py:549] Worker PID=2867: Translation: "i = on_circle i a g, on_circle i d g"
I0406 21:15:36.526664 135279079972864 graph.py:498]
I0406 21:15:36.526772 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_circle i a g, on_circle i d g ? cong c g c h
I0406 21:15:48.296082 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:15:48.296318 135279079972864 alphageometry.py:549] Worker PID=2867: Translation: "i = on_tline i d c d"
I0406 21:15:48.296624 135279079972864 graph.py:498]
I0406 21:15:48.296736 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_tline i d c d ? cong c g c h
I0406 21:15:52.434981 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:15:52.435211 135279079972864 alphageometry.py:549] Worker PID=2867: Translation: "i = on_tline i f b d, on_tline i b d f"
I0406 21:15:52.435536 135279079972864 graph.py:498]
I0406 21:15:52.435616 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_tline i f b d, on_tline i b d f ? cong c g c h
I0406 21:15:57.832671 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:15:57.832907 135279079972864 alphageometry.py:549] Worker PID=2867: Translation: "i = on_bline i e a, on_pline i a c e"
I0406 21:15:57.833286 135279079972864 graph.py:498]
I0406 21:15:57.833390 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_bline i e a, on_pline i a c e ? cong c g c h
I0406 21:16:09.423190 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:16:09.423428 135279079972864 alphageometry.py:549] Worker PID=2867: Translation: "i = on_tline i a a g"
I0406 21:16:09.423742 135279079972864 graph.py:498]
I0406 21:16:09.423850 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_tline i a a g ? cong c g c h
I0406 21:16:13.777367 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:16:13.777575 135279079972864 alphageometry.py:549] Worker PID=2867: Translation: "i = on_tline i e a e"
I0406 21:16:13.777849 135279079972864 graph.py:498]
I0406 21:16:13.777960 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_tline i e a e ? cong c g c h
I0406 21:16:18.341279 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:16:18.341541 135279079972864 alphageometry.py:549] Worker PID=2867: Translation: "i = on_tline i e c g"
I0406 21:16:18.341862 135279079972864 graph.py:498]
I0406 21:16:18.341978 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_tline i e c g ? cong c g c h
I0406 21:16:22.745383 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:16:22.745531 135279079972864 alphageometry.py:587] Worker PID=2867 beam search node 0: returning
I0406 21:16:24.331641 135279079972864 alphageometry.py:651] Depth 1. There are 24 nodes to expand:
I0406 21:16:24.331839 135279079972864 alphageometry.py:655] {S} a : ; b : ; c : C a b c 00 D a c b c 01 ; d : D a c c d 02 ; e : D a c c e 03 ; f : C d e f 04 T a b b f 05 ; g : C a e g 06 C c f g 07 ; h : C a d h 08 C c f h 09 ? D c g c h {F1} x00 i : D a g a i 10 T a g a i 11 ; x00
I0406 21:16:24.331892 135279079972864 alphageometry.py:655] {S} a : ; b : ; c : C a b c 00 D a c b c 01 ; d : D a c c d 02 ; e : D a c c e 03 ; f : C d e f 04 T a b b f 05 ; g : C a e g 06 C c f g 07 ; h : C a d h 08 C c f h 09 ? D c g c h {F1} x00 i : T a g g i 10 ; x00
I0406 21:16:24.331933 135279079972864 alphageometry.py:655] {S} a : ; b : ; c : C a b c 00 D a c b c 01 ; d : D a c c d 02 ; e : D a c c e 03 ; f : C d e f 04 T a b b f 05 ; g : C a e g 06 C c f g 07 ; h : C a d h 08 C c f h 09 ? D c g c h {F1} x00 i : D b d f i 10 D b i d f 11 ; x00
I0406 21:16:24.331971 135279079972864 alphageometry.py:655] {S} a : ; b : ; c : C a b c 00 D a c b c 01 ; d : D a c c d 02 ; e : D a c c e 03 ; f : C d e f 04 T a b b f 05 ; g : C a e g 06 C c f g 07 ; h : C a d h 08 C c f h 09 ? D c g c h {F1} x00 i : T c g g i 10 ; x00
I0406 21:16:24.332006 135279079972864 alphageometry.py:655] {S} a : ; b : ; c : C a b c 00 D a c b c 01 ; d : D a c c d 02 ; e : D a c c e 03 ; f : C d e f 04 T a b b f 05 ; g : C a e g 06 C c f g 07 ; h : C a d h 08 C c f h 09 ? D c g c h {F1} x00 i : D b d d i 10 T b d d i 11 ; x00
I0406 21:16:24.332041 135279079972864 alphageometry.py:655] {S} a : ; b : ; c : C a b c 00 D a c b c 01 ; d : D a c c d 02 ; e : D a c c e 03 ; f : C d e f 04 T a b b f 05 ; g : C a e g 06 C c f g 07 ; h : C a d h 08 C c f h 09 ? D c g c h {F1} x00 i : D a g a i 10 ; x00
I0406 21:16:24.332075 135279079972864 alphageometry.py:655] {S} a : ; b : ; c : C a b c 00 D a c b c 01 ; d : D a c c d 02 ; e : D a c c e 03 ; f : C d e f 04 T a b b f 05 ; g : C a e g 06 C c f g 07 ; h : C a d h 08 C c f h 09 ? D c g c h {F1} x00 i : T a d a i 10 ; x00
I0406 21:16:24.332113 135279079972864 alphageometry.py:655] {S} a : ; b : ; c : C a b c 00 D a c b c 01 ; d : D a c c d 02 ; e : D a c c e 03 ; f : C d e f 04 T a b b f 05 ; g : C a e g 06 C c f g 07 ; h : C a d h 08 C c f h 09 ? D c g c h {F1} x00 i : D b d e i 10 P b d e i 11 ; x00
I0406 21:16:24.332154 135279079972864 alphageometry.py:655] {S} a : ; b : ; c : C a b c 00 D a c b c 01 ; d : D a c c d 02 ; e : D a c c e 03 ; f : C d e f 04 T a b b f 05 ; g : C a e g 06 C c f g 07 ; h : C a d h 08 C c f h 09 ? D c g c h {F1} x00 i : T a d f i 10 ; x00
I0406 21:16:24.332188 135279079972864 alphageometry.py:655] {S} a : ; b : ; c : C a b c 00 D a c b c 01 ; d : D a c c d 02 ; e : D a c c e 03 ; f : C d e f 04 T a b b f 05 ; g : C a e g 06 C c f g 07 ; h : C a d h 08 C c f h 09 ? D c g c h {F1} x00 i : D b e e i 10 T b e e i 11 ; x00
I0406 21:16:24.332222 135279079972864 alphageometry.py:655] {S} a : ; b : ; c : C a b c 00 D a c b c 01 ; d : D a c c d 02 ; e : D a c c e 03 ; f : C d e f 04 T a b b f 05 ; g : C a e g 06 C c f g 07 ; h : C a d h 08 C c f h 09 ? D c g c h {F1} x00 i : T a d c i 10 ; x00
I0406 21:16:24.332256 135279079972864 alphageometry.py:655] {S} a : ; b : ; c : C a b c 00 D a c b c 01 ; d : D a c c d 02 ; e : D a c c e 03 ; f : C d e f 04 T a b b f 05 ; g : C a e g 06 C c f g 07 ; h : C a d h 08 C c f h 09 ? D c g c h {F1} x00 i : D b d e i 10 D b i d e 11 ; x00
I0406 21:16:24.332289 135279079972864 alphageometry.py:655] {S} a : ; b : ; c : C a b c 00 D a c b c 01 ; d : D a c c d 02 ; e : D a c c e 03 ; f : C d e f 04 T a b b f 05 ; g : C a e g 06 C c f g 07 ; h : C a d h 08 C c f h 09 ? D c g c h {F1} x00 i : D b d d i 10 T a d b i 11 ; x00
I0406 21:16:24.332323 135279079972864 alphageometry.py:655] {S} a : ; b : ; c : C a b c 00 D a c b c 01 ; d : D a c c d 02 ; e : D a c c e 03 ; f : C d e f 04 T a b b f 05 ; g : C a e g 06 C c f g 07 ; h : C a d h 08 C c f h 09 ? D c g c h {F1} x00 i : T a d f i 10 T a i c f 11 ; x00
I0406 21:16:24.332356 135279079972864 alphageometry.py:655] {S} a : ; b : ; c : C a b c 00 D a c b c 01 ; d : D a c c d 02 ; e : D a c c e 03 ; f : C d e f 04 T a b b f 05 ; g : C a e g 06 C c f g 07 ; h : C a d h 08 C c f h 09 ? D c g c h {F1} x00 i : T a d d i 10 ; x00
I0406 21:16:24.332393 135279079972864 alphageometry.py:655] {S} a : ; b : ; c : C a b c 00 D a c b c 01 ; d : D a c c d 02 ; e : D a c c e 03 ; f : C d e f 04 T a b b f 05 ; g : C a e g 06 C c f g 07 ; h : C a d h 08 C c f h 09 ? D c g c h {F1} x00 i : T c g f i 10 ; x00
I0406 21:16:24.332427 135279079972864 alphageometry.py:655] {S} a : ; b : ; c : C a b c 00 D a c b c 01 ; d : D a c c d 02 ; e : D a c c e 03 ; f : C d e f 04 T a b b f 05 ; g : C a e g 06 C c f g 07 ; h : C a d h 08 C c f h 09 ? D c g c h {F1} x00 i : D b d f i 10 D b f d i 11 ; x00
I0406 21:16:24.332461 135279079972864 alphageometry.py:655] {S} a : ; b : ; c : C a b c 00 D a c b c 01 ; d : D a c c d 02 ; e : D a c c e 03 ; f : C d e f 04 T a b b f 05 ; g : C a e g 06 C c f g 07 ; h : C a d h 08 C c f h 09 ? D c g c h {F1} x00 i : D a g a i 10 D d g d i 11 ; x00
I0406 21:16:24.332494 135279079972864 alphageometry.py:655] {S} a : ; b : ; c : C a b c 00 D a c b c 01 ; d : D a c c d 02 ; e : D a c c e 03 ; f : C d e f 04 T a b b f 05 ; g : C a e g 06 C c f g 07 ; h : C a d h 08 C c f h 09 ? D c g c h {F1} x00 i : T c d d i 10 ; x00
I0406 21:16:24.332528 135279079972864 alphageometry.py:655] {S} a : ; b : ; c : C a b c 00 D a c b c 01 ; d : D a c c d 02 ; e : D a c c e 03 ; f : C d e f 04 T a b b f 05 ; g : C a e g 06 C c f g 07 ; h : C a d h 08 C c f h 09 ? D c g c h {F1} x00 i : T b d f i 10 T b i d f 11 ; x00
I0406 21:16:24.332560 135279079972864 alphageometry.py:655] {S} a : ; b : ; c : C a b c 00 D a c b c 01 ; d : D a c c d 02 ; e : D a c c e 03 ; f : C d e f 04 T a b b f 05 ; g : C a e g 06 C c f g 07 ; h : C a d h 08 C c f h 09 ? D c g c h {F1} x00 i : D a i e i 10 P a i c e 11 ; x00
I0406 21:16:24.332593 135279079972864 alphageometry.py:655] {S} a : ; b : ; c : C a b c 00 D a c b c 01 ; d : D a c c d 02 ; e : D a c c e 03 ; f : C d e f 04 T a b b f 05 ; g : C a e g 06 C c f g 07 ; h : C a d h 08 C c f h 09 ? D c g c h {F1} x00 i : T a g a i 10 ; x00
I0406 21:16:24.332636 135279079972864 alphageometry.py:655] {S} a : ; b : ; c : C a b c 00 D a c b c 01 ; d : D a c c d 02 ; e : D a c c e 03 ; f : C d e f 04 T a b b f 05 ; g : C a e g 06 C c f g 07 ; h : C a d h 08 C c f h 09 ? D c g c h {F1} x00 i : T a e e i 10 ; x00
I0406 21:16:24.332669 135279079972864 alphageometry.py:655] {S} a : ; b : ; c : C a b c 00 D a c b c 01 ; d : D a c c d 02 ; e : D a c c e 03 ; f : C d e f 04 T a b b f 05 ; g : C a e g 06 C c f g 07 ; h : C a d h 08 C c f h 09 ? D c g c h {F1} x00 i : T c g e i 10 ; x00
I0406 21:16:24.343865 135279079972864 alphageometry.py:527] Worker PID=2869 called for beam search node 0
I0406 21:16:24.344102 135279079972864 alphageometry.py:530] Worker PID=2869: Decoding from {S} a : ; b : ; c : C a b c 00 D a c b c 01 ; d : D a c c d 02 ; e : D a c c e 03 ; f : C d e f 04 T a b b f 05 ; g : C a e g 06 C c f g 07 ; h : C a d h 08 C c f h 09 ? D c g c h {F1} x00 i : D a g a i 10 T a g a i 11 ; x00
I0406 21:16:24.349621 135279079972864 alphageometry.py:527] Worker PID=2980 called for beam search node 1
I0406 21:16:24.349802 135279079972864 alphageometry.py:530] Worker PID=2980: Decoding from {S} a : ; b : ; c : C a b c 00 D a c b c 01 ; d : D a c c d 02 ; e : D a c c e 03 ; f : C d e f 04 T a b b f 05 ; g : C a e g 06 C c f g 07 ; h : C a d h 08 C c f h 09 ? D c g c h {F1} x00 i : T a g g i 10 ; x00
I0406 21:16:24.361777 135279079972864 alphageometry.py:527] Worker PID=3092 called for beam search node 2
I0406 21:16:24.362129 135279079972864 alphageometry.py:530] Worker PID=3092: Decoding from {S} a : ; b : ; c : C a b c 00 D a c b c 01 ; d : D a c c d 02 ; e : D a c c e 03 ; f : C d e f 04 T a b b f 05 ; g : C a e g 06 C c f g 07 ; h : C a d h 08 C c f h 09 ? D c g c h {F1} x00 i : D b d f i 10 D b i d f 11 ; x00
I0406 21:16:24.367914 135279079972864 alphageometry.py:527] Worker PID=2900 called for beam search node 3
I0406 21:16:24.368237 135279079972864 alphageometry.py:530] Worker PID=2900: Decoding from {S} a : ; b : ; c : C a b c 00 D a c b c 01 ; d : D a c c d 02 ; e : D a c c e 03 ; f : C d e f 04 T a b b f 05 ; g : C a e g 06 C c f g 07 ; h : C a d h 08 C c f h 09 ? D c g c h {F1} x00 i : T c g g i 10 ; x00
I0406 21:16:24.377397 135279079972864 alphageometry.py:527] Worker PID=3061 called for beam search node 4
I0406 21:16:24.377711 135279079972864 alphageometry.py:530] Worker PID=3061: Decoding from {S} a : ; b : ; c : C a b c 00 D a c b c 01 ; d : D a c c d 02 ; e : D a c c e 03 ; f : C d e f 04 T a b b f 05 ; g : C a e g 06 C c f g 07 ; h : C a d h 08 C c f h 09 ? D c g c h {F1} x00 i : D b d d i 10 T b d d i 11 ; x00
I0406 21:16:24.384681 135279079972864 alphageometry.py:527] Worker PID=2868 called for beam search node 5
I0406 21:16:24.385004 135279079972864 alphageometry.py:530] Worker PID=2868: Decoding from {S} a : ; b : ; c : C a b c 00 D a c b c 01 ; d : D a c c d 02 ; e : D a c c e 03 ; f : C d e f 04 T a b b f 05 ; g : C a e g 06 C c f g 07 ; h : C a d h 08 C c f h 09 ? D c g c h {F1} x00 i : D a g a i 10 ; x00
I0406 21:16:24.389691 135279079972864 alphageometry.py:527] Worker PID=2866 called for beam search node 6
I0406 21:16:24.390028 135279079972864 alphageometry.py:530] Worker PID=2866: Decoding from {S} a : ; b : ; c : C a b c 00 D a c b c 01 ; d : D a c c d 02 ; e : D a c c e 03 ; f : C d e f 04 T a b b f 05 ; g : C a e g 06 C c f g 07 ; h : C a d h 08 C c f h 09 ? D c g c h {F1} x00 i : T a d a i 10 ; x00
I0406 21:16:24.399608 135279079972864 alphageometry.py:527] Worker PID=2867 called for beam search node 7
I0406 21:16:24.399883 135279079972864 alphageometry.py:530] Worker PID=2867: Decoding from {S} a : ; b : ; c : C a b c 00 D a c b c 01 ; d : D a c c d 02 ; e : D a c c e 03 ; f : C d e f 04 T a b b f 05 ; g : C a e g 06 C c f g 07 ; h : C a d h 08 C c f h 09 ? D c g c h {F1} x00 i : D b d e i 10 P b d e i 11 ; x00
I0406 21:34:44.569499 135279079972864 alphageometry.py:549] Worker PID=2866: Translation: "j = on_tline j g c g"
I0406 21:34:44.570352 135279079972864 graph.py:498]
I0406 21:34:44.570582 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_tline i a a d; j = on_tline j g c g ? cong c g c h
I0406 21:34:58.049735 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:34:58.050385 135279079972864 alphageometry.py:549] Worker PID=2866: Translation: "j = on_tline j f c g"
I0406 21:34:58.051663 135279079972864 graph.py:498]
I0406 21:34:58.052101 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_tline i a a d; j = on_tline j f c g ? cong c g c h
I0406 21:35:04.055794 135279079972864 alphageometry.py:549] Worker PID=2980: Translation: "j = on_line j d f, on_bline j f d"
I0406 21:35:04.056796 135279079972864 graph.py:498]
I0406 21:35:04.057057 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_tline i g a g; j = on_line j d f, on_bline j f d ? cong c g c h
I0406 21:35:10.207267 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:35:10.207506 135279079972864 alphageometry.py:549] Worker PID=2866: Translation: "j = on_tline j g a g"
I0406 21:35:10.207924 135279079972864 graph.py:498]
I0406 21:35:10.208041 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_tline i a a d; j = on_tline j g a g ? cong c g c h
I0406 21:35:18.224543 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:35:18.224733 135279079972864 alphageometry.py:549] Worker PID=2980: Translation: "j = on_line j c d, on_circle j c d"
I0406 21:35:18.225127 135279079972864 graph.py:498]
I0406 21:35:18.225236 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_tline i g a g; j = on_line j c d, on_circle j c d ? cong c g c h
I0406 21:35:21.336542 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:35:21.336846 135279079972864 alphageometry.py:549] Worker PID=2866: Translation: "j = on_tline j e b e"
I0406 21:35:21.339354 135279079972864 graph.py:498]
I0406 21:35:21.339623 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_tline i a a d; j = on_tline j e b e ? cong c g c h
I0406 21:35:35.422725 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:35:35.423094 135279079972864 alphageometry.py:549] Worker PID=2866: Translation: "j = on_tline j f f g"
I0406 21:35:35.423927 135279079972864 graph.py:498]
I0406 21:35:35.424194 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_tline i a a d; j = on_tline j f f g ? cong c g c h
I0406 21:35:47.282572 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:35:47.283175 135279079972864 alphageometry.py:549] Worker PID=2866: Translation: "j = on_tline j e a e"
I0406 21:35:47.284379 135279079972864 graph.py:498]
I0406 21:35:47.284843 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_tline i a a d; j = on_tline j e a e ? cong c g c h
I0406 21:35:47.961218 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:35:47.961620 135279079972864 alphageometry.py:549] Worker PID=2980: Translation: "j = on_line j c d, on_bline j d c"
I0406 21:35:47.962604 135279079972864 graph.py:498]
I0406 21:35:47.962907 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_tline i g a g; j = on_line j c d, on_bline j d c ? cong c g c h
I0406 21:35:54.152234 135279079972864 alphageometry.py:549] Worker PID=2900: Translation: "j = on_circle j i g, on_pline j i c g"
I0406 21:35:54.152926 135279079972864 graph.py:498]
I0406 21:35:54.153108 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_tline i g c g; j = on_circle j i g, on_pline j i c g ? cong c g c h
I0406 21:35:58.792886 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:35:58.793093 135279079972864 alphageometry.py:549] Worker PID=2980: Translation: "j = on_line j d e, on_bline j e d"
I0406 21:35:58.793512 135279079972864 graph.py:498]
I0406 21:35:58.793627 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_tline i g a g; j = on_line j d e, on_bline j e d ? cong c g c h
I0406 21:35:59.969265 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:35:59.969680 135279079972864 alphageometry.py:549] Worker PID=2866: Translation: "j = on_tline j f c h"
I0406 21:35:59.970638 135279079972864 graph.py:498]
I0406 21:35:59.970931 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_tline i a a d; j = on_tline j f c h ? cong c g c h
I0406 21:36:07.810665 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:36:07.811211 135279079972864 alphageometry.py:549] Worker PID=2900: Translation: "j = on_circle j a g"
I0406 21:36:07.812321 135279079972864 graph.py:498]
I0406 21:36:07.812585 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_tline i g c g; j = on_circle j a g ? cong c g c h
I0406 21:36:09.361270 135279079972864 alphageometry.py:549] Worker PID=2867: Translation: "j = on_line j d f, on_bline j f d"
I0406 21:36:09.361698 135279079972864 graph.py:498]
I0406 21:36:09.361810 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = eqdistance i e b d, on_pline i e b d; j = on_line j d f, on_bline j f d ? cong c g c h
I0406 21:36:09.970334 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:36:09.970793 135279079972864 alphageometry.py:549] Worker PID=2866: Translation: "j = on_tline j f b d, on_tline j d b f"
I0406 21:36:09.971568 135279079972864 graph.py:498]
I0406 21:36:09.971765 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_tline i a a d; j = on_tline j f b d, on_tline j d b f ? cong c g c h
I0406 21:36:16.590908 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:36:16.591608 135279079972864 alphageometry.py:549] Worker PID=2900: Translation: "j = eqdistance j e b d, on_pline j e b d"
I0406 21:36:16.592999 135279079972864 graph.py:498]
I0406 21:36:16.593404 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_tline i g c g; j = eqdistance j e b d, on_pline j e b d ? cong c g c h
I0406 21:36:20.248831 135279079972864 alphageometry.py:201]
==========================
* From theorem premises:
A B C D E F G H : Points
CA = CB [00]
A,C,B are collinear [01]
CD = CA [02]
CE = CA [03]
D,F,E are collinear [04]
BF ⟂ AB [05]
A,G,E are collinear [06]
C,G,F are collinear [07]
D,A,H are collinear [08]
H,C,F are collinear [09]
* Auxiliary Constructions:
J : Points
D,J,E are collinear [10]
JE = JD [11]
* Proof steps:
001. CE = CA [03] & CA = CB [00] ⇒ AB:CB = AB:CB [12]
002. CD = CA [02] & CE = CA [03] & CA = CB [00] ⇒ D,A,B,E are concyclic [13]
003. D,A,B,E are concyclic [13] ⇒ ∠BAD = ∠BED [14]
004. D,A,B,E are concyclic [13] ⇒ ∠BDE = ∠BAE [15]
005. D,J,E are collinear [10] & A,C,B are collinear [01] & D,A,H are collinear [08] & ∠BED = ∠BAD [14] ⇒ ∠BEJ = ∠CAH [16]
006. CE = CA [03] & CD = CA [02] ⇒ CD = CE [17]
007. CD = CE [17] & JE = JD [11] ⇒ DE ⟂ CJ [18]
008. D,J,E are collinear [10] & D,F,E are collinear [04] & A,C,B are collinear [01] & BF ⟂ AB [05] & DE ⟂ CJ [18] ⇒ ∠FJC = ∠FBC [19]
009. ∠FJC = ∠FBC [19] ⇒ C,B,F,J are concyclic [20]
010. C,B,F,J are concyclic [20] ⇒ ∠CBJ = ∠CFJ [21]
011. D,J,E are collinear [10] & A,C,B are collinear [01] & H,C,F are collinear [09] & ∠CBJ = ∠CFJ [21] & D,F,E are collinear [04] ⇒ ∠BJE = ∠ACH [22]
012. ∠BEJ = ∠CAH [16] & ∠BJE = ∠ACH [22] (Similar Triangles)⇒ JB:JE = CH:CA [23]
013. D,J,E are collinear [10] & A,C,B are collinear [01] & A,G,E are collinear [06] & ∠BDE = ∠BAE [15] ⇒ ∠BDJ = ∠CAG [24]
014. D,J,E are collinear [10] & A,C,B are collinear [01] & C,G,F are collinear [07] & ∠CBJ = ∠CFJ [21] & D,F,E are collinear [04] ⇒ ∠BJD = ∠ACG [25]
015. ∠BDJ = ∠CAG [24] & ∠BJD = ∠ACG [25] (Similar Triangles)⇒ JB:JD = CG:CA [26]
016. JB:JE = CH:CA [23] & JE = JD [11] & CE = CA [03] & JB:JD = CG:CA [26] & CA = CB [00] ⇒ CB:CG = CB:HC [27]
017. AB:CB = AB:CB [12] & CB:CG = CB:HC [27] ⇒ CG = HC
==========================
I0406 21:36:20.249316 135279079972864 alphageometry.py:205] Solution written to /home/tong_peng/onedrive_googie32u/agtest/ag.out.
I0406 21:36:20.645020 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:36:20.645223 135279079972864 alphageometry.py:549] Worker PID=2866: Translation: "j = on_tline j e d e"
I0406 21:36:20.645624 135279079972864 graph.py:498]
I0406 21:36:20.645737 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_tline i a a d; j = on_tline j e d e ? cong c g c h
I0406 21:36:23.653055 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:36:23.653348 135279079972864 alphageometry.py:549] Worker PID=2867: Translation: "j = on_tline j g c g"
I0406 21:36:23.653846 135279079972864 graph.py:498]
I0406 21:36:23.653970 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = eqdistance i e b d, on_pline i e b d; j = on_tline j g c g ? cong c g c h
I0406 21:36:27.031312 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:36:27.031643 135279079972864 alphageometry.py:549] Worker PID=2900: Translation: "j = on_circle j d b, on_tline j d b d"
I0406 21:36:27.032306 135279079972864 graph.py:498]
I0406 21:36:27.032487 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_tline i g c g; j = on_circle j d b, on_tline j d b d ? cong c g c h
I0406 21:36:29.715667 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:36:29.715946 135279079972864 alphageometry.py:549] Worker PID=2866: Translation: "ERROR: Traceback (most recent call last):
File "/home/tong_peng/onedrive_googie32u/alphageometry/alphageometry.py", line 470, in try_translate_constrained_to_construct
g.copy().add_clause(clause, 0, DEFINITIONS)
File "/home/tong_peng/onedrive_googie32u/alphageometry/graph.py", line 2637, in add_clause
raise PointTooFarError()
graph.PointTooFarError
"
I0406 21:36:29.716192 135279079972864 alphageometry.py:549] Worker PID=2866: Translation: "j = on_line j d f, on_bline j f d"
I0406 21:36:29.716957 135279079972864 graph.py:498]
I0406 21:36:29.717258 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_tline i a a d; j = on_line j d f, on_bline j f d ? cong c g c h
I0406 21:36:32.949274 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:36:32.949479 135279079972864 alphageometry.py:549] Worker PID=2867: Translation: "j = on_line j e f, on_bline j f e"
I0406 21:36:32.949885 135279079972864 graph.py:498]
I0406 21:36:32.950003 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = eqdistance i e b d, on_pline i e b d; j = on_line j e f, on_bline j f e ? cong c g c h
I0406 21:36:41.680137 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:36:41.680413 135279079972864 alphageometry.py:549] Worker PID=2866: Translation: "j = on_tline j b b e"
I0406 21:36:41.680746 135279079972864 graph.py:498]
I0406 21:36:41.680859 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_tline i a a d; j = on_tline j b b e ? cong c g c h
I0406 21:36:46.137916 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:36:46.138115 135279079972864 alphageometry.py:549] Worker PID=2867: Translation: "j = on_tline j e a g"
I0406 21:36:46.138513 135279079972864 graph.py:498]
I0406 21:36:46.138630 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = eqdistance i e b d, on_pline i e b d; j = on_tline j e a g ? cong c g c h
I0406 21:36:46.981028 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:36:46.981215 135279079972864 alphageometry.py:549] Worker PID=2900: Translation: "j = eqdistance j i c g, eqdistance j c g i"
I0406 21:36:46.981653 135279079972864 graph.py:498]
I0406 21:36:46.981772 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_tline i g c g; j = eqdistance j i c g, eqdistance j c g i ? cong c g c h
I0406 21:36:51.426852 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:36:51.427627 135279079972864 alphageometry.py:549] Worker PID=2866: Translation: "j = on_tline j d d f"
I0406 21:36:51.428849 135279079972864 graph.py:498]
I0406 21:36:51.429218 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_tline i a a d; j = on_tline j d d f ? cong c g c h
I0406 21:36:57.077456 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:36:57.077900 135279079972864 alphageometry.py:549] Worker PID=2867: Translation: "j = on_tline j f a d, on_tline j a d f"
I0406 21:36:57.078405 135279079972864 graph.py:498]
I0406 21:36:57.078583 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = eqdistance i e b d, on_pline i e b d; j = on_tline j f a d, on_tline j a d f ? cong c g c h
I0406 21:37:00.467643 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:37:00.467977 135279079972864 alphageometry.py:549] Worker PID=2866: Translation: "j = on_tline j i a g"
I0406 21:37:00.468417 135279079972864 graph.py:498]
I0406 21:37:00.468530 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_tline i a a d; j = on_tline j i a g ? cong c g c h
I0406 21:37:02.528216 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:37:02.528428 135279079972864 alphageometry.py:549] Worker PID=2900: Translation: "j = on_circle j e b, on_tline j e b e"
I0406 21:37:02.528862 135279079972864 graph.py:498]
I0406 21:37:02.528984 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_tline i g c g; j = on_circle j e b, on_tline j e b e ? cong c g c h
I0406 21:37:09.236507 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:37:09.236723 135279079972864 alphageometry.py:549] Worker PID=2866: Translation: "j = on_tline j f a g"
I0406 21:37:09.237131 135279079972864 graph.py:498]
I0406 21:37:09.237249 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_tline i a a d; j = on_tline j f a g ? cong c g c h
I0406 21:37:09.724565 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:37:09.725005 135279079972864 alphageometry.py:549] Worker PID=2867: Translation: "j = on_bline j e a, on_pline j e a c"
I0406 21:37:09.725809 135279079972864 graph.py:498]
I0406 21:37:09.726027 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = eqdistance i e b d, on_pline i e b d; j = on_bline j e a, on_pline j e a c ? cong c g c h
I0406 21:37:17.533022 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:37:17.533642 135279079972864 alphageometry.py:549] Worker PID=2866: Translation: "j = on_tline j f a d"
I0406 21:37:17.534647 135279079972864 graph.py:498]
I0406 21:37:17.534846 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_tline i a a d; j = on_tline j f a d ? cong c g c h
I0406 21:37:17.811438 135279079972864 alphageometry.py:549] Worker PID=2868: Translation: "j = on_circle j a g"
I0406 21:37:17.812013 135279079972864 graph.py:498]
I0406 21:37:17.812188 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_circle i a g; j = on_circle j a g ? cong c g c h
I0406 21:37:20.141452 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:37:20.141658 135279079972864 alphageometry.py:549] Worker PID=2900: Translation: "j = on_circle j g c, on_circle j i c"
I0406 21:37:20.142048 135279079972864 graph.py:498]
I0406 21:37:20.142148 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_tline i g c g; j = on_circle j g c, on_circle j i c ? cong c g c h
I0406 21:37:25.062191 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:37:25.062385 135279079972864 alphageometry.py:549] Worker PID=2866: Translation: "j = on_tline j d f g"
I0406 21:37:25.062779 135279079972864 graph.py:498]
I0406 21:37:25.062888 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_tline i a a d; j = on_tline j d f g ? cong c g c h
I0406 21:37:27.287778 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:37:27.287961 135279079972864 alphageometry.py:549] Worker PID=2868: Translation: "j = on_circle j i a, on_pline j i a g"
I0406 21:37:27.288327 135279079972864 graph.py:498]
I0406 21:37:27.288454 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_circle i a g; j = on_circle j i a, on_pline j i a g ? cong c g c h
I0406 21:37:31.861815 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:37:31.862011 135279079972864 alphageometry.py:549] Worker PID=2900: Translation: "j = eqdistance j f b d, eqdistance j d b f"
I0406 21:37:31.862457 135279079972864 graph.py:498]
I0406 21:37:31.862594 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_tline i g c g; j = eqdistance j f b d, eqdistance j d b f ? cong c g c h
I0406 21:37:32.255301 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:37:32.255503 135279079972864 alphageometry.py:549] Worker PID=2866: Translation: "j = on_tline j f b d, on_tline j b d f"
I0406 21:37:32.255910 135279079972864 graph.py:498]
I0406 21:37:32.256016 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_tline i a a d; j = on_tline j f b d, on_tline j b d f ? cong c g c h
I0406 21:37:38.904896 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:37:38.905115 135279079972864 alphageometry.py:549] Worker PID=2868: Translation: "j = on_circle j g a"
I0406 21:37:38.905497 135279079972864 graph.py:498]
I0406 21:37:38.905614 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_circle i a g; j = on_circle j g a ? cong c g c h
I0406 21:37:45.942854 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:37:45.943288 135279079972864 alphageometry.py:549] Worker PID=2868: Translation: "j = on_line j f g, on_bline j g f"
I0406 21:37:45.944226 135279079972864 graph.py:498]
I0406 21:37:45.944470 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_circle i a g; j = on_line j f g, on_bline j g f ? cong c g c h
I0406 21:37:46.129451 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:37:46.129663 135279079972864 alphageometry.py:549] Worker PID=2900: Translation: "j = eqdistance j f b d, eqdistance j b d f"
I0406 21:37:46.130024 135279079972864 graph.py:498]
I0406 21:37:46.130141 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_tline i g c g; j = eqdistance j f b d, eqdistance j b d f ? cong c g c h
I0406 21:37:46.333416 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:37:46.333612 135279079972864 alphageometry.py:549] Worker PID=2866: Translation: "j = on_tline j f b e, on_tline j e b f"
I0406 21:37:46.333992 135279079972864 graph.py:498]
I0406 21:37:46.334098 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_tline i a a d; j = on_tline j f b e, on_tline j e b f ? cong c g c h
I0406 21:37:50.596647 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:37:50.596966 135279079972864 alphageometry.py:549] Worker PID=2867: Translation: "j = on_bline j e a, on_circle j e c"
I0406 21:37:50.597499 135279079972864 graph.py:498]
I0406 21:37:50.597680 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = eqdistance i e b d, on_pline i e b d; j = on_bline j e a, on_circle j e c ? cong c g c h
I0406 21:37:55.204475 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:37:55.204856 135279079972864 alphageometry.py:549] Worker PID=2866: Translation: "ERROR: Traceback (most recent call last):
File "/home/tong_peng/onedrive_googie32u/alphageometry/alphageometry.py", line 470, in try_translate_constrained_to_construct
g.copy().add_clause(clause, 0, DEFINITIONS)
File "/home/tong_peng/onedrive_googie32u/alphageometry/graph.py", line 2637, in add_clause
raise PointTooFarError()
graph.PointTooFarError
"
I0406 21:37:55.205193 135279079972864 alphageometry.py:549] Worker PID=2866: Translation: "ERROR: point m does not exist."
I0406 21:37:55.205496 135279079972864 alphageometry.py:549] Worker PID=2866: Translation: "j = on_tline j f c f"
I0406 21:37:55.206369 135279079972864 graph.py:498]
I0406 21:37:55.206668 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_tline i a a d; j = on_tline j f c f ? cong c g c h
I0406 21:37:56.761510 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:37:56.761708 135279079972864 alphageometry.py:549] Worker PID=2868: Translation: "j = on_circle j i a, on_bline j i g"
I0406 21:37:56.762120 135279079972864 graph.py:498]
I0406 21:37:56.762236 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_circle i a g; j = on_circle j i a, on_bline j i g ? cong c g c h
I0406 21:38:00.203181 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:38:00.203947 135279079972864 alphageometry.py:549] Worker PID=2900: Translation: "j = on_circle j g b, on_circle j i b"
I0406 21:38:00.205290 135279079972864 graph.py:498]
I0406 21:38:00.205653 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_tline i g c g; j = on_circle j g b, on_circle j i b ? cong c g c h
I0406 21:38:03.093170 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:38:03.093492 135279079972864 alphageometry.py:549] Worker PID=2866: Translation: "j = on_tline j f b e"
I0406 21:38:03.093988 135279079972864 graph.py:498]
I0406 21:38:03.094102 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_tline i a a d; j = on_tline j f b e ? cong c g c h
I0406 21:38:06.277068 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:38:06.277499 135279079972864 alphageometry.py:549] Worker PID=2868: Translation: "j = on_line j d f, on_bline j f d"
I0406 21:38:06.278472 135279079972864 graph.py:498]
I0406 21:38:06.278775 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_circle i a g; j = on_line j d f, on_bline j f d ? cong c g c h
I0406 21:38:09.501839 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:38:09.502068 135279079972864 alphageometry.py:549] Worker PID=2900: Translation: "j = on_line j c d, on_bline j d c"
I0406 21:38:09.502479 135279079972864 graph.py:498]
I0406 21:38:09.502599 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_tline i g c g; j = on_line j c d, on_bline j d c ? cong c g c h
I0406 21:38:10.931700 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:38:10.931901 135279079972864 alphageometry.py:549] Worker PID=2866: Translation: "j = on_circle j e b"
I0406 21:38:10.932282 135279079972864 graph.py:498]
I0406 21:38:10.932393 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_tline i a a d; j = on_circle j e b ? cong c g c h
I0406 21:38:11.518033 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:38:11.518240 135279079972864 alphageometry.py:549] Worker PID=2867: Translation: "j = on_line j d e, on_bline j e d"
I0406 21:38:11.518603 135279079972864 graph.py:498]
I0406 21:38:11.518743 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = eqdistance i e b d, on_pline i e b d; j = on_line j d e, on_bline j e d ? cong c g c h
I0406 21:38:15.640065 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:38:15.640356 135279079972864 alphageometry.py:549] Worker PID=2868: Translation: "j = on_line j f h, on_bline j h f"
I0406 21:38:15.640886 135279079972864 graph.py:498]
I0406 21:38:15.641034 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_circle i a g; j = on_line j f h, on_bline j h f ? cong c g c h
I0406 21:38:17.513923 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:38:17.514285 135279079972864 alphageometry.py:549] Worker PID=2900: Translation: "j = on_line j c d, on_circle j c d"
I0406 21:38:17.515101 135279079972864 graph.py:498]
I0406 21:38:17.515330 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_tline i g c g; j = on_line j c d, on_circle j c d ? cong c g c h
I0406 21:38:18.017590 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:38:18.017823 135279079972864 alphageometry.py:587] Worker PID=2866 beam search node 6: returning
I0406 21:38:18.204073 135279079972864 alphageometry.py:527] Worker PID=2866 called for beam search node 8
I0406 21:38:18.204339 135279079972864 alphageometry.py:530] Worker PID=2866: Decoding from {S} a : ; b : ; c : C a b c 00 D a c b c 01 ; d : D a c c d 02 ; e : D a c c e 03 ; f : C d e f 04 T a b b f 05 ; g : C a e g 06 C c f g 07 ; h : C a d h 08 C c f h 09 ? D c g c h {F1} x00 i : T a d f i 10 ; x00
I0406 21:38:26.579273 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:38:26.579579 135279079972864 alphageometry.py:549] Worker PID=2868: Translation: "ERROR: Traceback (most recent call last):
File "/home/tong_peng/onedrive_googie32u/alphageometry/alphageometry.py", line 470, in try_translate_constrained_to_construct
g.copy().add_clause(clause, 0, DEFINITIONS)
File "/home/tong_peng/onedrive_googie32u/alphageometry/graph.py", line 2635, in add_clause
raise PointTooCloseError()
graph.PointTooCloseError
"
I0406 21:38:26.580100 135279079972864 alphageometry.py:549] Worker PID=2868: Translation: "j = on_line j c d, on_bline j d c"
I0406 21:38:26.580790 135279079972864 graph.py:498]
I0406 21:38:26.581004 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_circle i a g; j = on_line j c d, on_bline j d c ? cong c g c h
I0406 21:38:30.064866 135279079972864 alphageometry.py:201]
==========================
* From theorem premises:
A B C D E F G H : Points
B,C,A are collinear [00]
CA = CB [01]
CD = CA [02]
CE = CA [03]
F,D,E are collinear [04]
BF ⟂ AB [05]
G,A,E are collinear [06]
F,C,G are collinear [07]
H,A,D are collinear [08]
F,C,H are collinear [09]
* Auxiliary Constructions:
J : Points
J,D,E are collinear [10]
JE = JD [11]
* Proof steps:
001. CA = CE [03] ⇒ BA:CA = BA:CA [12]
002. CA = CB [01] & CE = CA [03] & CD = CA [02] ⇒ B,A,D,E are concyclic [13]
003. B,A,D,E are concyclic [13] ⇒ ∠BAD = ∠BED [14]
004. B,A,D,E are concyclic [13] ⇒ ∠BAE = ∠BDE [15]
005. D,J,E are collinear [10] & B,C,A are collinear [00] & D,A,H are collinear [08] & ∠BED = ∠BAD [14] ⇒ ∠BEJ = ∠CAH [16]
006. CE = CA [03] & CD = CA [02] ⇒ CD = CE [17]
007. CD = CE [17] & JE = JD [11] ⇒ DE ⟂ CJ [18]
008. B,C,A are collinear [00] & D,J,E are collinear [10] & F,D,E are collinear [04] & DE ⟂ CJ [18] & BF ⟂ AB [05] ⇒ ∠CBF = ∠CJF [19]
009. ∠CBF = ∠CJF [19] ⇒ B,C,F,J are concyclic [20]
010. B,C,F,J are concyclic [20] ⇒ ∠BCF = ∠BJF [21]
011. D,J,E are collinear [10] & B,C,A are collinear [00] & F,C,H are collinear [09] & ∠BCF = ∠BJF [21] & F,D,E are collinear [04] ⇒ ∠BJE = ∠ACH [22]
012. ∠BEJ = ∠CAH [16] & ∠BJE = ∠ACH [22] (Similar Triangles)⇒ JB:JE = CH:CA [23]
013. J,D,E are collinear [10] & B,C,A are collinear [00] & G,A,E are collinear [06] & ∠BDE = ∠BAE [15] ⇒ ∠BDJ = ∠CAG [24]
014. D,J,E are collinear [10] & B,C,A are collinear [00] & F,C,G are collinear [07] & ∠BCF = ∠BJF [21] & F,D,E are collinear [04] ⇒ ∠BJD = ∠ACG [25]
015. ∠BDJ = ∠CAG [24] & ∠BJD = ∠ACG [25] (Similar Triangles)⇒ JB:JD = CG:CA [26]
016. JB:JE = CH:CA [23] & JE = JD [11] & CE = CA [03] & JB:JD = CG:CA [26] ⇒ CA:CG = CA:CH [27]
017. BA:CA = BA:CA [12] & CA:CG = CA:CH [27] ⇒ CG = CH
==========================
I0406 21:38:30.065437 135279079972864 alphageometry.py:205] Solution written to /home/tong_peng/onedrive_googie32u/agtest/ag.out.
I0406 21:38:34.469381 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:38:34.469591 135279079972864 alphageometry.py:549] Worker PID=2868: Translation: "j = eqdistance j f a g, on_pline j f a g"
I0406 21:38:34.470004 135279079972864 graph.py:498]
I0406 21:38:34.470118 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_circle i a g; j = eqdistance j f a g, on_pline j f a g ? cong c g c h
I0406 21:38:39.136036 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:38:39.136258 135279079972864 alphageometry.py:549] Worker PID=2900: Translation: "j = on_line j d e, on_bline j e d"
I0406 21:38:39.136672 135279079972864 graph.py:498]
I0406 21:38:39.136780 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_tline i g c g; j = on_line j d e, on_bline j e d ? cong c g c h
I0406 21:38:43.400059 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:38:43.400297 135279079972864 alphageometry.py:549] Worker PID=2868: Translation: "j = on_circle j i a"
I0406 21:38:43.400664 135279079972864 graph.py:498]
I0406 21:38:43.400782 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_circle i a g; j = on_circle j i a ? cong c g c h
I0406 21:38:43.999250 135279079972864 alphageometry.py:549] Worker PID=3092: Translation: "j = on_circle j b g, on_circle j d g"
I0406 21:38:44.000010 135279079972864 graph.py:498]
I0406 21:38:44.000227 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = eqdistance i f b d, eqdistance i b d f; j = on_circle j b g, on_circle j d g ? cong c g c h
I0406 21:38:49.713116 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:38:49.713308 135279079972864 alphageometry.py:549] Worker PID=2868: Translation: "ERROR: Traceback (most recent call last):
File "/home/tong_peng/onedrive_googie32u/alphageometry/alphageometry.py", line 470, in try_translate_constrained_to_construct
g.copy().add_clause(clause, 0, DEFINITIONS)
File "/home/tong_peng/onedrive_googie32u/alphageometry/graph.py", line 2635, in add_clause
raise PointTooCloseError()
graph.PointTooCloseError
"
I0406 21:38:49.713453 135279079972864 alphageometry.py:549] Worker PID=2868: Translation: "j = on_tline j f a d"
I0406 21:38:49.713856 135279079972864 graph.py:498]
I0406 21:38:49.713969 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_circle i a g; j = on_tline j f a d ? cong c g c h
I0406 21:38:53.238985 135279079972864 alphageometry.py:201]
==========================
* From theorem premises:
A B C D E F G H : Points
C,A,B are collinear [00]
CA = CB [01]
CD = CA [02]
CE = CA [03]
E,D,F are collinear [04]
BF ⟂ AB [05]
C,G,F are collinear [06]
A,E,G are collinear [07]
C,H,F are collinear [08]
A,H,D are collinear [09]
* Auxiliary Constructions:
J : Points
E,D,J are collinear [10]
JE = JD [11]
* Proof steps:
001. CA = CE [03] ⇒ AB:CA = AB:CA [12]
002. CD = CA [02] & CE = CA [03] ⇒ CE = CD [13]
003. CE = CD [13] & JE = JD [11] ⇒ DE ⟂ CJ [14]
004. C,A,B are collinear [00] & E,D,J are collinear [10] & E,D,F are collinear [04] & DE ⟂ CJ [14] & BF ⟂ AB [05] ⇒ ∠FBC = ∠FJC [15]
005. ∠FBC = ∠FJC [15] ⇒ C,B,J,F are concyclic [16]
006. C,B,J,F are concyclic [16] ⇒ ∠CBJ = ∠CFJ [17]
007. C,H,F are collinear [08] & C,A,B are collinear [00] & E,D,J are collinear [10] & ∠CBJ = ∠CFJ [17] & E,D,F are collinear [04] ⇒ ∠HCA = ∠EJB [18]
008. CD = CA [02] & CE = CA [03] & CA = CB [01] ⇒ A,E,B,D are concyclic [19]
009. A,E,B,D are concyclic [19] ⇒ ∠BAD = ∠BED [20]
010. A,E,B,D are concyclic [19] ⇒ ∠EAB = ∠EDB [21]
011. E,D,J are collinear [10] & C,A,B are collinear [00] & A,H,D are collinear [09] & ∠BED = ∠BAD [20] ⇒ ∠BEJ = ∠CAH [22]
012. ∠HCA = ∠EJB [18] & ∠BEJ = ∠CAH [22] (Similar Triangles)⇒ CH:CA = JB:JE [23]
013. C,F,G are collinear [06] & C,A,B are collinear [00] & E,D,J are collinear [10] & ∠CBJ = ∠CFJ [17] & E,D,F are collinear [04] ⇒ ∠GCA = ∠DJB [24]
014. A,E,G are collinear [07] & C,A,B are collinear [00] & E,D,J are collinear [10] & ∠EAB = ∠EDB [21] ⇒ ∠GAC = ∠JDB [25]
015. ∠GCA = ∠DJB [24] & ∠GAC = ∠JDB [25] (Similar Triangles)⇒ CG:CA = JB:JD [26]
016. CH:CA = JB:JE [23] & CE = CA [03] & JE = JD [11] & CG:CA = JB:JD [26] ⇒ CA:CG = CA:CH [27]
017. AB:CA = AB:CA [12] & CA:CG = CA:CH [27] ⇒ CG = CH
==========================
I0406 21:38:53.239541 135279079972864 alphageometry.py:205] Solution written to /home/tong_peng/onedrive_googie32u/agtest/ag.out.
I0406 21:38:54.720835 135279079972864 alphageometry.py:549] Worker PID=3061: Translation: "j = on_bline j i b, on_circle j i d"
I0406 21:38:54.721310 135279079972864 graph.py:498]
I0406 21:38:54.721446 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_circle i d b, on_tline i d b d; j = on_bline j i b, on_circle j i d ? cong c g c h
I0406 21:38:56.126976 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:38:56.127166 135279079972864 alphageometry.py:549] Worker PID=2868: Translation: "j = on_circle j d b, on_tline j d b d"
I0406 21:38:56.127589 135279079972864 graph.py:498]
I0406 21:38:56.127710 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_circle i a g; j = on_circle j d b, on_tline j d b d ? cong c g c h
I0406 21:39:00.638771 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:39:00.639181 135279079972864 alphageometry.py:549] Worker PID=3092: Translation: "j = on_line j d f, on_bline j f d"
I0406 21:39:00.640205 135279079972864 graph.py:498]
I0406 21:39:00.640492 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = eqdistance i f b d, eqdistance i b d f; j = on_line j d f, on_bline j f d ? cong c g c h
I0406 21:39:07.888156 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:39:07.888344 135279079972864 alphageometry.py:549] Worker PID=2868: Translation: "j = on_circle j a g, on_tline j a a g"
I0406 21:39:07.888679 135279079972864 graph.py:498]
I0406 21:39:07.888788 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_circle i a g; j = on_circle j a g, on_tline j a a g ? cong c g c h
I0406 21:39:15.073183 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:39:15.073381 135279079972864 alphageometry.py:549] Worker PID=3092: Translation: "j = on_line j d i, on_bline j i d"
I0406 21:39:15.073718 135279079972864 graph.py:498]
I0406 21:39:15.073836 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = eqdistance i f b d, eqdistance i b d f; j = on_line j d i, on_bline j i d ? cong c g c h
I0406 21:39:15.650620 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:39:15.650794 135279079972864 alphageometry.py:549] Worker PID=3061: Translation: "j = on_circle j b i, on_tline j b b i"
I0406 21:39:15.651189 135279079972864 graph.py:498]
I0406 21:39:15.651305 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_circle i d b, on_tline i d b d; j = on_circle j b i, on_tline j b b i ? cong c g c h
I0406 21:39:17.097661 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:39:17.098130 135279079972864 alphageometry.py:549] Worker PID=2868: Translation: "j = on_circle j a d"
I0406 21:39:17.098557 135279079972864 graph.py:498]
I0406 21:39:17.098665 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_circle i a g; j = on_circle j a d ? cong c g c h
I0406 21:39:23.051526 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:39:23.051856 135279079972864 alphageometry.py:549] Worker PID=2868: Translation: "j = on_tline j g c g"
I0406 21:39:23.052671 135279079972864 graph.py:498]
I0406 21:39:23.052952 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_circle i a g; j = on_tline j g c g ? cong c g c h
I0406 21:39:28.515337 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:39:28.515597 135279079972864 alphageometry.py:549] Worker PID=2868: Translation: "j = on_tline j f f h"
I0406 21:39:28.516244 135279079972864 graph.py:498]
I0406 21:39:28.516447 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_circle i a g; j = on_tline j f f h ? cong c g c h
I0406 21:39:29.003840 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:39:29.004138 135279079972864 alphageometry.py:549] Worker PID=3061: Translation: "j = on_circle j i b, on_tline j i b i"
I0406 21:39:29.004765 135279079972864 graph.py:498]
I0406 21:39:29.004932 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_circle i d b, on_tline i d b d; j = on_circle j i b, on_tline j i b i ? cong c g c h
I0406 21:39:30.670721 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:39:30.670897 135279079972864 alphageometry.py:549] Worker PID=3092: Translation: "j = on_circle j g b, on_circle j h b"
I0406 21:39:30.671322 135279079972864 graph.py:498]
I0406 21:39:30.671436 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = eqdistance i f b d, eqdistance i b d f; j = on_circle j g b, on_circle j h b ? cong c g c h
I0406 21:39:34.026746 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:39:34.026888 135279079972864 alphageometry.py:549] Worker PID=2868: Translation: "j = on_line j e f, on_bline j f e"
I0406 21:39:34.027255 135279079972864 graph.py:498]
I0406 21:39:34.027362 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_circle i a g; j = on_line j e f, on_bline j f e ? cong c g c h
I0406 21:39:41.835646 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:39:41.835915 135279079972864 alphageometry.py:549] Worker PID=2868: Translation: "ERROR: Traceback (most recent call last):
File "/home/tong_peng/onedrive_googie32u/alphageometry/alphageometry.py", line 470, in try_translate_constrained_to_construct
g.copy().add_clause(clause, 0, DEFINITIONS)
File "/home/tong_peng/onedrive_googie32u/alphageometry/graph.py", line 2635, in add_clause
raise PointTooCloseError()
graph.PointTooCloseError
"
I0406 21:39:41.836076 135279079972864 alphageometry.py:549] Worker PID=2868: Translation: "j = on_line j c d, on_circle j c d"
I0406 21:39:41.836421 135279079972864 graph.py:498]
I0406 21:39:41.836537 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_circle i a g; j = on_line j c d, on_circle j c d ? cong c g c h
I0406 21:39:44.631866 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:39:44.632070 135279079972864 alphageometry.py:549] Worker PID=3061: Translation: "j = on_circle j c b, on_tline j c b c"
I0406 21:39:44.632437 135279079972864 graph.py:498]
I0406 21:39:44.632554 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_circle i d b, on_tline i d b d; j = on_circle j c b, on_tline j c b c ? cong c g c h
I0406 21:39:54.147388 135279079972864 alphageometry.py:201]
==========================
* From theorem premises:
A B C D E F G H : Points
B,A,C are collinear [00]
CA = CB [01]
CD = CA [02]
CE = CA [03]
D,F,E are collinear [04]
BF ⟂ AB [05]
G,E,A are collinear [06]
F,G,C are collinear [07]
H,F,C are collinear [08]
H,D,A are collinear [09]
* Auxiliary Constructions:
I J : Points
IB = DF [10]
GJ = GB [11]
HJ = HB [12]
* Proof steps:
001. GJ = GB [11] & HJ = HB [12] (SSS)⇒ ∠BGH = ∠HGJ [13]
002. GJ = GB [11] & HJ = HB [12] ⇒ BJ ⟂ GH [14]
003. F,G,C are collinear [07] & ∠BGH = ∠HGJ [13] & H,F,C are collinear [08] ⇒ ∠BGC = ∠CGJ [15]
004. GJ = GB [11] & ∠BGC = ∠CGJ [15] (SAS)⇒ CB = CJ [16]
005. CA = CB [01] & CE = CA [03] & CB = CJ [16] ⇒ B,E,J,A are concyclic [17]
006. A,E,B,J are concyclic [17] ⇒ ∠BAE = ∠BJE [18]
007. A,E,B,J are concyclic [17] ⇒ ∠BAJ = ∠BEJ [19]
008. B,A,C are collinear [00] & E,G,A are collinear [06] & ∠BJE = ∠BAE [18] ⇒ ∠BJE = ∠CAG [20]
009. CA = CB [01] & CB = CJ [16] ⇒ C is the circumcenter of \Delta BAJ [21]
010. C is the circumcenter of \Delta BAJ [21] & B,A,C are collinear [00] ⇒ JB ⟂ AJ [22]
011. B,A,C are collinear [00] & F,G,C are collinear [07] & ∠BEJ = ∠BAJ [19] & JB ⟂ AJ [22] & BJ ⟂ GH [14] & H,F,C are collinear [08] ⇒ ∠BEJ = ∠ACG [23]
012. ∠BJE = ∠CAG [20] & ∠BEJ = ∠ACG [23] (Similar Triangles)⇒ EB:EJ = CG:CA [24]
013. CD = CA [02] & CA = CB [01] & CE = CA [03] ⇒ C is the circumcenter of \Delta BDE [25]
014. B,A,C are collinear [00] & AB ⟂ BF [05] ⇒ CB ⟂ BF [26]
015. C is the circumcenter of \Delta BDE [25] & CB ⟂ BF [26] ⇒ ∠DBF = ∠DEB [27]
016. D,F,E are collinear [04] & ∠DBF = ∠DEB [27] ⇒ ∠DBF = ∠FEB [28]
017. D,F,E are collinear [04] ⇒ ∠DFB = ∠EFB [29]
018. D,F,E are collinear [04] ⇒ ∠JFE = ∠JFD [30]
019. ∠DBF = ∠FEB [28] & ∠DFB = ∠EFB [29] (Similar Triangles)⇒ DB:DF = BE:BF [31]
020. ∠DBF = ∠FEB [28] & ∠DFB = ∠EFB [29] (Similar Triangles)⇒ DF:BF = BF:FE [32]
021. F,G,C are collinear [07] & ∠BGH = ∠HGJ [13] & H,F,C are collinear [08] ⇒ ∠BGF = ∠FGJ [33]
022. GJ = GB [11] & ∠BGF = ∠FGJ [33] (SAS)⇒ FB = FJ [34]
023. DB:DF = BE:BF [31] & BI = DF [10] & FJ = BF [34] ⇒ DB:BI = BE:FJ [35]
024. BF:FE = DF:BF [32] & FJ = BF [34] ⇒ FJ:FE = FD:FJ [36]
025. FJ:FE = FD:FJ [36] & ∠JFE = ∠JFD [30] (Similar Triangles)⇒ JF:JE = DF:DJ [37]
026. JF:JE = DF:DJ [37] & FB = FJ [34] & BI = DF [10] ⇒ BI:DJ = FJ:JE [38]
027. DB:BI = BE:FJ [35] & BI:DJ = FJ:JE [38] ⇒ DB:DJ = BE:JE [39]
028. B,E,J,A are concyclic [17] & CD = CA [02] & CA = CB [01] & CE = CA [03] ⇒ D,B,J,A are concyclic [40]
029. D,B,J,A are concyclic [40] ⇒ ∠DAB = ∠DJB [41]
030. H,D,A are collinear [09] & B,A,C are collinear [00] & ∠DJB = ∠DAB [41] ⇒ ∠DJB = ∠HAC [42]
031. H,F,C are collinear [08] & BJ ⟂ GH [14] & F,G,C are collinear [07] ⇒ HF ⟂ BJ [43]
032. CD = CA [02] & CA = CB [01] ⇒ C is the circumcenter of \Delta BDA [44]
033. C is the circumcenter of \Delta BDA [44] & B,A,C are collinear [00] ⇒ AD ⟂ BD [45]
034. H,D,A are collinear [09] & BD ⟂ AD [45] ⇒ DB ⟂ HD [46]
035. HF ⟂ BJ [43] & DB ⟂ HD [46] ⇒ ∠FHD = ∠JBD [47]
036. H,D,A are collinear [09] & H,F,C are collinear [08] & ∠FHD = ∠JBD [47] ⇒ ∠DBJ = ∠AHC [48]
037. ∠DJB = ∠HAC [42] & ∠DBJ = ∠AHC [48] (Similar Triangles)⇒ DJ:DB = CA:CH [49]
038. EB:EJ = CG:CA [24] & CE = CA [03] & DB:DJ = BE:JE [39] & DJ:DB = CA:CH [49] ⇒ HC:AC = GC:AC [50]
039. AC = EC [03] ⇒ AC:FC = AC:FC [51]
040. HC:AC = GC:AC [50] & AC:FC = AC:FC [51] ⇒ HC = GC
==========================
I0406 21:39:54.148121 135279079972864 alphageometry.py:205] Solution written to /home/tong_peng/onedrive_googie32u/agtest/ag.out.
I0406 21:39:55.925544 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:39:55.926052 135279079972864 alphageometry.py:549] Worker PID=2868: Translation: "j = on_circle j a b"
I0406 21:39:55.926870 135279079972864 graph.py:498]
I0406 21:39:55.927082 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_circle i a g; j = on_circle j a b ? cong c g c h
I0406 21:40:01.176547 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:40:01.176765 135279079972864 alphageometry.py:549] Worker PID=2868: Translation: "j = on_circle j a d, on_tline j a a d"
I0406 21:40:01.177192 135279079972864 graph.py:498]
I0406 21:40:01.177350 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_circle i a g; j = on_circle j a d, on_tline j a a d ? cong c g c h
I0406 21:40:10.123482 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:40:10.123683 135279079972864 alphageometry.py:549] Worker PID=2868: Translation: "j = on_line j f g, on_pline j e b d"
I0406 21:40:10.123999 135279079972864 graph.py:498]
I0406 21:40:10.124114 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_circle i a g; j = on_line j f g, on_pline j e b d ? cong c g c h
I0406 21:40:10.564659 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:40:10.564879 135279079972864 alphageometry.py:549] Worker PID=3061: Translation: "j = on_bline j i b, on_pline j b d i"
I0406 21:40:10.565302 135279079972864 graph.py:498]
I0406 21:40:10.565432 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_circle i d b, on_tline i d b d; j = on_bline j i b, on_pline j b d i ? cong c g c h
I0406 21:40:19.413986 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:40:19.414096 135279079972864 alphageometry.py:587] Worker PID=2868 beam search node 5: returning
I0406 21:40:19.525763 135279079972864 alphageometry.py:527] Worker PID=2868 called for beam search node 9
I0406 21:40:19.526045 135279079972864 alphageometry.py:530] Worker PID=2868: Decoding from {S} a : ; b : ; c : C a b c 00 D a c b c 01 ; d : D a c c d 02 ; e : D a c c e 03 ; f : C d e f 04 T a b b f 05 ; g : C a e g 06 C c f g 07 ; h : C a d h 08 C c f h 09 ? D c g c h {F1} x00 i : D b e e i 10 T b e e i 11 ; x00
I0406 21:40:31.543770 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:40:31.543967 135279079972864 alphageometry.py:549] Worker PID=3061: Translation: "j = on_line j b i, on_bline j i b"
I0406 21:40:31.544381 135279079972864 graph.py:498]
I0406 21:40:31.544498 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_circle i d b, on_tline i d b d; j = on_line j b i, on_bline j i b ? cong c g c h
I0406 21:40:45.252281 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:40:45.252490 135279079972864 alphageometry.py:549] Worker PID=3061: Translation: "j = eqdistance j d b i, on_circle j i d"
I0406 21:40:45.252821 135279079972864 graph.py:498]
I0406 21:40:45.252936 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_circle i d b, on_tline i d b d; j = eqdistance j d b i, on_circle j i d ? cong c g c h
I0406 21:41:14.303236 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:41:14.303418 135279079972864 alphageometry.py:549] Worker PID=3061: Translation: "j = on_bline j f b, on_bline j g f"
I0406 21:41:14.303857 135279079972864 graph.py:498]
I0406 21:41:14.304004 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_circle i d b, on_tline i d b d; j = on_bline j f b, on_bline j g f ? cong c g c h
I0406 21:41:31.294658 135279079972864 alphageometry.py:231] DD+AR failed to solve the problem.
I0406 21:41:31.294843 135279079972864 alphageometry.py:549] Worker PID=3061: Translation: "j = on_bline j i b, on_pline j i b d"
I0406 21:41:31.295471 135279079972864 graph.py:498]
I0406 21:41:31.295630 135279079972864 graph.py:499] a = free a; b = free b; c = midpoint c a b; d = on_circle d c a; e = on_circle e c a; f = on_tline f b b a, on_line f d e; g = on_line g a e, on_line g c f; h = on_line h a d, on_line h c f; i = on_circle i d b, on_tline i d b d; j = on_bline j i b, on_pline j i b d ? cong c g c h
I0406 21:41:32.860955 135279079972864 alphageometry.py:568] Worker PID={pid}: Solved.
I0406 21:41:32.874999 135279079972864 alphageometry.py:527] Worker PID=3092 called for beam search node 10
I0406 21:41:32.875325 135279079972864 alphageometry.py:530] Worker PID=3092: Decoding from {S} a : ; b : ; c : C a b c 00 D a c b c 01 ; d : D a c c d 02 ; e : D a c c e 03 ; f : C d e f 04 T a b b f 05 ; g : C a e g 06 C c f g 07 ; h : C a d h 08 C c f h 09 ? D c g c h {F1} x00 i : T a d c i 10 ; x00
|