Octopus solved 116 of the 200 MIX division problems of CASC-J2. It produced a proof for 115 of the 200 problems. For SYN353-1, a proof was found to exist, but there was not time to put it together. THEO (the underlying sequential system) was able to solve 83 theorems, 33 less than Octopus. Each was unable to construct the proof of one theorem for which a proof was known to exist.
Octopus ran on a network of 120 computers (PCs). Because it got a later start in the competition, it was given only 400 seconds per theorem. The MIX division problem solvers all were given 600 seconds per theorem. Given the spread on times to find a proof, if Octopus had been given the additional 200 seconds per theorem, it might have proved 2-3 more.
A bug may have come up near the end of the test when the master solved a number of the theorems by itself. Essentially, copies of octopus were not being killed on the slaves between problems. The program was stopped and restarted on GEO008-1 (Problem 192) and when restarted, the slaves again solved problems before the master. If the version of Octopus running on the slaves is not properly killed between problems, eventually, the slaves are brought to a standstill. The problem seemed to begin around Problem 184-185.
The 200 problems follow.
ALG004-1 ALG012-1 ANA002-1 solved by slave 27 in 7 sec. (66) ANA003-1 solved by slave 34 in 44 sec. (21) ANA003-2 solved by slave 34 in 26 sec. (25) ANA003-4 solved by slave 37 in 3 sec. (2) ANA004-1 solved by slave 57 in 84 sec. (38) ANA004-4 solved by slave 53 in 5 sec. (53) ANA005-1 BOO038-1 CAT004-3 solved by slave 3 in 0 sec. (95) CAT009-3 solved by slave 22 in 2 sec. (94) COL003-7 solved by slave 30 in 324 sec. (46) COL003-9 solved by slave 106 in 238 sec. (72) COL003-10 COL006-2 COL006-3 COL006-4 COL043-2 COL044-2 COL044-3 COL044-4 COL076-2 COL078-1 COL079-2 solved by slave 40 in 7 sec. (8) COL088-2 solved by slave 12 in 2 sec. (85) COL089-1 solved by slave 3 in 0 sec. (44) COL089-2 solved by slave 51 in 3 sec. (23) COL090-2 solved by slave 12 in 6 sec. (65) COL090-3 solved by master in 0 sec. (103) COL091-1 solved by master in 0 sec. (102) COL091-2 solved by slave 32 in 1 sec. (100) COL092-1 solved by slave 28 in 1 sec. (61) COL092-2 solved by slave 28 in 6 sec. (91) COL093-1 solved by slave 28 in 2 sec. (14) COL093-2 solved by slave 12 in 258 sec. (111) COL098-2 solved by slave 17 in 8 sec. (41) COL099-2 solved by master in 0 sec. (104) COM003-1 COM005-1 FLD007-1 solved by master in 26 sec. (45) FLD009-1 solved by slave 77 in 2 sec. (5) FLD023-1 solved by master in 0 sec. (69) FLD031-1 solved by slave 22 in 0 sec. (56) FLD047-4 solved by slave 12 in 13 sec. (59) FLD050-4 solved by slave 15 in 1 sec. (58) FLD060-2 solved by slave 9 in 3 sec. (48) FLD062-3 solved by slave 45 in 1 sec. (24) FLD063-1 solved by slave 29 in 13 sec. (83) GEO006-1 solved by slave 23 in 1 sec. (90) GEO007-1 solved by slave 94 in 48 sec. (29) GEO008-1 GEO026-2 solved by slave 15 in 0 sec. (101) GEO030-3 solved by master in 0 sec. (4) GEO036-2 solved by slave 1 in 0 sec. (99) GEO043-3 solved by slave 7 in 0 sec. (52) GEO045-2 GEO083-1 solved by slave 3 in 1 sec. (96) GEO146-1 solved by slave 6 in 0 sec. (49) GRP039-1 solved by slave 32 in 4 sec. (86) GRP039-2 solved by slave 7 in 33 sec. (112) GRP039-4 solved by slave 17 in 6 sec. (68) GRP039-5 solved by slave 55 in 105 sec. (93) GRP039-6 solved by slave 18 in 1 sec. (78) GRP039-7 solved by slave 3 in 77 sec. (105) GRP040-3 solved by slave 28 in 3 sec. (98) GRP040-4 solved by slave 12 in 0 sec. (82) GRP054-1 GRP084-1 GRP086-1 GRP113-1 GRP197-1 GRP198-1 GRP199-1 GRP273-1 GRP401-1 HWC003-1 HWC003-2 HWV002-1 HWV003-1 HWV017-2 solved by slave 25 in 61 sec. (115) HWV018-2 solved by slave 28 in 0 sec. (77) HWV029-1 HWV033-1 solved by slave 3 in 0 sec. (62) LAT001-1 LAT002-1 LAT003-1 LAT015-1 LAT036-1 LAT041-1 LAT066-1 LCL012-1 solved by slave 25 in 120 sec. (13) LCL018-1 solved by slave 60 in 230 sec. (6) LCL052-1 solved by slave 45 in 363 sec. (81) LCL068-1 solved by slave 31 in 2 sec. (73) LCL109-3 solved by slave 84 in 4 sec. (12) LCL109-4 LCL152-1 LCL166-1 LCL191-1 LCL195-1 solved by slave 3 in 1 sec. (71) LCL221-1 solved by slave 41 in 11 sec. (28) LCL222-3 LCL225-1 solved by slave 19 in 275 sec. (79) LCL227-1 solved by slave 12 in 331 sec. (57) LCL237-3 solved by slave 6 in 5 sec. (75) LCL243-3 LCL249-3 LCL253-1 LCL253-3 LCL278-3 LCL324-3 LCL341-3 MGT029-1 MGT035-1 MGT039-2 solved by slave 106 in 80 sec. (108) MGT051-1 solved by slave 25 in 3 sec. (16) MGT060-1 solved by master in 0 sec. (10) MGT063-1 NUM007-1 solved by master in 7 sec. (113) NUM011-1 PLA004-2 solved by slave 4 in 3 sec. (70) PLA005-2 solved by slave 6 in 4 sec. (36) PLA009-2 solved by slave 9 in 1 sec. (67) PLA011-1 solved by slave 29 in 2 sec. (17) PLA012-1 solved by slave 39 in 31 sec. (20) PLA021-1 solved by slave 119 in 2 sec. (30) PLA023-1 PUZ035-7 solved by master in 0 sec. (32) PUZ039-1 PUZ040-1 PUZ042-1 PUZ056-1 RNG001-2 solved by slave 19 in 8 sec. (54) RNG001-5 solved by slave 7 in 1 sec. (64) RNG004-3 solved by slace 15 in 0 sec. (22) RNG025-1 RNG029-3 ROB014-1 ROB015-2 ROB018-1 ROB019-1 SET010-1 solved by slave 6 in 0 sec. (35) SET012-3 solved by slave 3 in 5 sec. (109) SET013-1 solved by master in 9 sec. (63) SET013-2 solved by slave 5 in 139 sec. (37) SET014-3 solved by slave 3 in 1 sec. (89) SET014-4 solved by slave 1 in 0 sec. (55) SET015-1 solved by master in 32 sec. (19) SET016-3 SET019-4 solved by slave 25 in 4 sec. (33) SET021-3 SET022-3 solved by slave 16 in 1 sec. (84) SET025-8 solved by slave 1 in 0 sec. (31) SET031-3 solved by slave 43 in 1 sec. (26) SET041-3 solved by slave 3 in 1 sec. (110) SET082-6 solved by slave 9 in 1 sec. (34) SET121-7 solved by slave 5 in 4 sec. (18) SET199-6 solved by master in 0 sec. (106) SET215-6 solved by slave 3 in 148 sec. (107) SET230-6 SET235-6 solved by slave 3 in 1 sec. (114) SET260-6 solved by slave 101 in 247 sec. (7) SET386-6 solved by slave 35 in 1 sec. (47) SET787-1 solved by slave 3 in 0 sec. (74) SET787-2 solved by slave 15 in 3 sec. (87) SWC113-1 SWC123-1 SWC166-1 SWC286-1 solved by slave 71 in 12 sec. (116) SWC293-1 solved by slave 1 in 2 sec. (97) SWC295-1 SWC375-1 solved by slave 10 in 2 sec. (92) SWV014-1 solved by slave 22 in 0 sec. (43) SYN036-1 SYN036-4 SYN067-1 SYN067-2 SYN076-1 SYN077-1 solved by slave 32 in 0 sec. (88) SYN311-1 solved by slave 3 in 0 sec. (76) SYN312-1 solved by slave 23 in 0 sec. (15) SYN314-1.002.001 SYN353-1 solved by slave 82 -- no proof constructed (50) SYN597-1 solved by slave 6 in 1 sec. (9) SYN602-1 solved by slave 3 in 0 sec. (40) SYN603-1 solved by slave 4 in 0 sec. (60) SYN609-1 solved by slave 15 in 0 sec. (80) SYN610-1 solved by slave 16 in 1 sec. (39) SYN611-1 solved by slave 1 in o sec. (27) SYN612-1 solved by slave 9 in 0 sec. (42) SYN650-1 solved by slave 110 in 1 sec. (11) SYN653-1 solved by slave 107 in 0 sec. (51) SYN704-1 solved by slave 18 in 1 sec. (1) SYN708-1 solved by slave 19 in 0 sec. (3) SYN755-1 SYN758-1 SYN796-1 SYN802-1