++ BATCH_SIZE=32 ++ BEAM_SIZE=128 ++ DEPTH=8 ++ NWORKERS=8 ++ PROB_FILE=/home/tong_peng/onedrive_googie32u/agtest/myexamples.txt ++ PROB=5circles ++ 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=5circles --mode=alphageometry --defs_file=/home/tong_peng/onedrive_googie32u/alphageometry/defs.txt --rules_file=/home/tong_peng/onedrive_googie32u/alphageometry/rules.txt --beam_size=128 --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=32 --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 I0310 12:49:36.705405 133820260323328 graph.py:498] 5circles I0310 12:49:36.705694 133820260323328 graph.py:499] a b c d e = pentagon a b c d e; f = on_line f b e, on_line f a c; g = on_line g a c, on_line g b d; h = on_line h b d, on_line h c e; i = on_line i c e, on_line i d a; j = on_line j d a, on_line j b e; k = circumcenter k a f j; l = circumcenter l b f g; m = circumcenter m c g h; n = circumcenter n d h i; o = circumcenter o e i j; p = on_circle p k f, on_circle p l f; q = on_circle q l g, on_circle q m g; r = on_circle r m h, on_circle r n h; s = on_circle s n i, on_circle s o i; t = on_circle t o j, on_circle t k j ? cyclic p q r t I0310 12:55:28.171156 133820260323328 alphageometry.py:200] ========================== * From theorem premises: A B C D E F G H I J K L M N O P Q R T : Points F,A,C are collinear [00] F,E,B are collinear [01] D,B,G are collinear [02] A,G,C are collinear [03] D,B,H are collinear [04] A,I,D are collinear [05] E,C,I are collinear [06] E,J,B are collinear [07] KA = KF [08] KF = KJ [09] LF = LG [10] LB = LF [11] MG = MH [12] MC = MG [13] ND = NH [14] NH = NI [15] OE = OI [16] OI = OJ [17] KP = KF [18] LP = LF [19] MQ = MG [20] LQ = LG [21] NR = NH [22] MR = MH [23] KT = KJ [24] OT = OJ [25] * Auxiliary Constructions: S : Points OS = OI [26] * Proof steps: 001. KA = KF [08] & KF = KJ [09] & KT = KJ [24] ⇒ F,A,J,T are concyclic [27] 002. F,A,J,T are concyclic [27] & KA = KF [08] & KP = KF [18] & KF = KJ [09] ⇒ A,F,P,T are concyclic [28] 003. A,F,P,T are concyclic [28] ⇒ ∠AFP = ∠ATP [29] 004. ND = NH [14] & NR = NH [22] & NH = NI [15] ⇒ D,I,R,H are concyclic [30] 005. D,I,R,H are concyclic [30] ⇒ ∠DHR = ∠DIR [31] 006. MG = MH [12] & MR = MH [23] & MC = MG [13] ⇒ H,C,R,G are concyclic [32] 007. H,C,R,G are concyclic [32] ⇒ ∠HGC = ∠HRC [33] 008. I,A,D are collinear [05] & ∠DHR = ∠DIR [31] & D,B,H are collinear [04] & ∠HGC = ∠HRC [33] & D,B,G are collinear [02] & A,G,C are collinear [03] ⇒ ∠ACR = ∠AIR [34] 009. ∠ACR = ∠AIR [34] ⇒ A,I,R,C are concyclic [35] 010. OE = OI [16] & OI = OJ [17] & OT = OJ [25] & OS = OI [26] ⇒ E,I,J,T are concyclic [36] 011. E,I,J,T are concyclic [36] ⇒ ∠JTI = ∠JEI [37] 012. F,A,J,T are concyclic [27] ⇒ ∠AFJ = ∠ATJ [38] 013. E,I,C are collinear [06] & ∠JTI = ∠JEI [37] & E,J,B are collinear [07] & ∠AFJ = ∠ATJ [38] & F,A,C are collinear [00] & F,E,B are collinear [01] ⇒ ∠CAT = ∠CIT [39] 014. ∠CAT = ∠CIT [39] ⇒ A,I,T,C are concyclic [40] 015. A,I,R,C are concyclic [35] & A,I,T,C are concyclic [40] ⇒ A,C,T,R are concyclic [41] 016. A,C,T,R are concyclic [41] ⇒ ∠CAT = ∠CRT [42] 017. ∠AFP = ∠ATP [29] & F,A,C are collinear [00] & ∠CAT = ∠CRT [42] ⇒ ∠CRT = ∠FPT [43] 018. H,C,R,G are concyclic [32] & MG = MH [12] & MQ = MG [20] & MC = MG [13] ⇒ C,R,G,Q are concyclic [44] 019. Q,G,C,R are concyclic [44] ⇒ ∠QGC = ∠QRC [45] 020. LP = LF [19] & LF = LG [10] & LQ = LG [21] & LB = LF [11] ⇒ F,Q,P,G are concyclic [46] 021. F,Q,P,G are concyclic [46] ⇒ ∠FPQ = ∠FGQ [47] 022. ∠QGC = ∠QRC [45] & A,G,C are collinear [03] & ∠FPQ = ∠FGQ [47] & F,A,C are collinear [00] ⇒ ∠FPQ = ∠CRQ [48] 023. ∠CRT = ∠FPT [43] & ∠FPQ = ∠CRQ [48] ⇒ ∠TPQ = ∠TRQ [49] 024. ∠TPQ = ∠TRQ [49] ⇒ Q,P,R,T are concyclic ========================== I0310 12:55:28.171662 133820260323328 alphageometry.py:204] Solution written to /home/tong_peng/onedrive_googie32u/agtest/ag.out.