TSTP Solution File: GRP423-1 by Matita---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP423-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 10:30:14 EDT 2022
% Result : Unsatisfiable 33.14s 8.60s
% Output : CNFRefutation 33.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GRP423-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 13:33:35 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 12651: Facts:
% 0.12/0.33 12651: Id : 2, {_}:
% 0.12/0.33 inverse
% 0.12/0.33 (multiply
% 0.12/0.33 (inverse
% 0.12/0.33 (multiply ?2
% 0.12/0.33 (inverse
% 0.12/0.33 (multiply (inverse ?3)
% 0.12/0.33 (multiply (inverse ?4)
% 0.12/0.33 (inverse (multiply (inverse ?4) ?4)))))))
% 0.12/0.33 (multiply ?2 ?4))
% 0.12/0.33 =>=
% 0.12/0.33 ?3
% 0.12/0.33 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 0.12/0.33 12651: Goal:
% 0.12/0.33 12651: Id : 1, {_}:
% 0.12/0.33 multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3)
% 0.12/0.33 [] by prove_these_axioms_3
% 33.14/8.60 Statistics :
% 33.14/8.60 Max weight : 86
% 33.14/8.60 Found proof, 8.265725s
% 33.14/8.60 % SZS status Unsatisfiable for theBenchmark.p
% 33.14/8.60 % SZS output start CNFRefutation for theBenchmark.p
% 33.14/8.60 Id : 3, {_}: inverse (multiply (inverse (multiply ?6 (inverse (multiply (inverse ?7) (multiply (inverse ?8) (inverse (multiply (inverse ?8) ?8))))))) (multiply ?6 ?8)) =>= ?7 [8, 7, 6] by single_axiom ?6 ?7 ?8
% 33.14/8.60 Id : 2, {_}: inverse (multiply (inverse (multiply ?2 (inverse (multiply (inverse ?3) (multiply (inverse ?4) (inverse (multiply (inverse ?4) ?4))))))) (multiply ?2 ?4)) =>= ?3 [4, 3, 2] by single_axiom ?2 ?3 ?4
% 33.14/8.60 Id : 18, {_}: inverse (multiply (inverse (multiply ?69 ?70)) (multiply ?69 ?71)) =?= multiply (inverse ?71) (inverse (multiply (inverse ?70) (multiply (inverse (inverse (multiply (inverse ?71) ?71))) (inverse (multiply (inverse (inverse (multiply (inverse ?71) ?71))) (inverse (multiply (inverse ?71) ?71))))))) [71, 70, 69] by Super 3 with 2 at 2,1,1,1,2
% 33.14/8.60 Id : 7, {_}: inverse (multiply (inverse (multiply ?28 ?29)) (multiply ?28 ?30)) =?= multiply (inverse ?30) (inverse (multiply (inverse ?29) (multiply (inverse (inverse (multiply (inverse ?30) ?30))) (inverse (multiply (inverse (inverse (multiply (inverse ?30) ?30))) (inverse (multiply (inverse ?30) ?30))))))) [30, 29, 28] by Super 3 with 2 at 2,1,1,1,2
% 33.14/8.60 Id : 33, {_}: inverse (multiply (inverse (multiply ?152 ?153)) (multiply ?152 ?154)) =?= inverse (multiply (inverse (multiply ?155 ?153)) (multiply ?155 ?154)) [155, 154, 153, 152] by Super 18 with 7 at 3
% 33.14/8.60 Id : 79, {_}: inverse (multiply (inverse (multiply ?281 (inverse (multiply (inverse (multiply (inverse (multiply ?282 ?283)) (multiply ?282 ?284))) (multiply (inverse ?285) (inverse (multiply (inverse ?285) ?285))))))) (multiply ?281 ?285)) =?= multiply (inverse (multiply ?286 ?283)) (multiply ?286 ?284) [286, 285, 284, 283, 282, 281] by Super 2 with 33 at 1,1,2,1,1,1,2
% 33.14/8.60 Id : 184, {_}: multiply (inverse (multiply ?872 ?873)) (multiply ?872 ?874) =?= multiply (inverse (multiply ?875 ?873)) (multiply ?875 ?874) [875, 874, 873, 872] by Demod 79 with 2 at 2
% 33.14/8.60 Id : 142, {_}: multiply (inverse (multiply ?282 ?283)) (multiply ?282 ?284) =?= multiply (inverse (multiply ?286 ?283)) (multiply ?286 ?284) [286, 284, 283, 282] by Demod 79 with 2 at 2
% 33.14/8.60 Id : 185, {_}: multiply (inverse (multiply ?877 ?878)) (multiply ?877 (multiply ?879 ?880)) =?= multiply (inverse (multiply (inverse (multiply ?879 ?881)) ?878)) (multiply (inverse (multiply ?882 ?881)) (multiply ?882 ?880)) [882, 881, 880, 879, 878, 877] by Super 184 with 142 at 2,3
% 33.14/8.60 Id : 75, {_}: inverse (multiply (inverse (multiply ?255 (inverse (multiply (inverse ?256) (multiply (inverse (multiply ?257 ?258)) (inverse (multiply (inverse (multiply ?259 ?258)) (multiply ?259 ?258)))))))) (multiply ?255 (multiply ?257 ?258))) =>= ?256 [259, 258, 257, 256, 255] by Super 2 with 33 at 2,2,1,2,1,1,1,2
% 33.14/8.60 Id : 191, {_}: multiply (inverse (multiply ?917 (multiply ?918 ?919))) (multiply ?917 ?920) =?= multiply ?921 (multiply (inverse (multiply ?918 (inverse (multiply (inverse ?921) (multiply (inverse ?919) (inverse (multiply (inverse ?919) ?919))))))) ?920) [921, 920, 919, 918, 917] by Super 184 with 2 at 1,3
% 33.14/8.60 Id : 3296, {_}: inverse (multiply (inverse (multiply ?24042 (inverse (multiply (inverse (multiply ?24043 (multiply ?24044 ?24045))) (multiply ?24043 (inverse (multiply (inverse (multiply ?24046 (inverse (multiply (inverse (inverse ?24047)) (multiply (inverse ?24045) (inverse (multiply (inverse ?24045) ?24045))))))) (multiply ?24046 (inverse (multiply (inverse (inverse ?24047)) (multiply (inverse ?24045) (inverse (multiply (inverse ?24045) ?24045))))))))))))) (multiply ?24042 (multiply ?24044 (inverse (multiply (inverse (inverse ?24047)) (multiply (inverse ?24045) (inverse (multiply (inverse ?24045) ?24045)))))))) =>= ?24047 [24047, 24046, 24045, 24044, 24043, 24042] by Super 75 with 191 at 1,2,1,1,1,2
% 33.14/8.60 Id : 327, {_}: inverse (multiply (inverse (multiply ?1499 (inverse (multiply (inverse (multiply ?1500 ?1501)) (multiply ?1500 (inverse (multiply (inverse ?1502) ?1502))))))) (multiply ?1499 ?1502)) =>= multiply (inverse ?1502) ?1501 [1502, 1501, 1500, 1499] by Super 2 with 33 at 2,1,1,1,2
% 33.14/8.60 Id : 337, {_}: inverse (multiply (inverse (multiply ?1569 (inverse (multiply (inverse (multiply ?1570 ?1571)) (multiply ?1570 (inverse (multiply (inverse (multiply ?1572 ?1573)) (multiply ?1572 ?1573)))))))) (multiply ?1569 (multiply ?1574 ?1573))) =>= multiply (inverse (multiply ?1574 ?1573)) ?1571 [1574, 1573, 1572, 1571, 1570, 1569] by Super 327 with 142 at 1,2,2,1,2,1,1,1,2
% 33.14/8.60 Id : 3666, {_}: multiply (inverse (multiply ?26832 (inverse (multiply (inverse (inverse ?26833)) (multiply (inverse ?26834) (inverse (multiply (inverse ?26834) ?26834))))))) (multiply ?26832 ?26834) =>= ?26833 [26834, 26833, 26832] by Demod 3296 with 337 at 2
% 33.14/8.60 Id : 3752, {_}: multiply (inverse (inverse (multiply (inverse (multiply ?27477 (inverse ?27478))) (multiply ?27477 ?27479)))) (multiply (inverse ?27479) (inverse (multiply (inverse ?27479) ?27479))) =>= ?27478 [27479, 27478, 27477] by Super 3666 with 7 at 1,1,2
% 33.14/8.60 Id : 3515, {_}: multiply (inverse (multiply ?24044 (inverse (multiply (inverse (inverse ?24047)) (multiply (inverse ?24045) (inverse (multiply (inverse ?24045) ?24045))))))) (multiply ?24044 ?24045) =>= ?24047 [24045, 24047, 24044] by Demod 3296 with 337 at 2
% 33.14/8.60 Id : 231, {_}: inverse (multiply (inverse (inverse (multiply (inverse (multiply ?1146 ?1147)) (multiply ?1146 ?1148)))) (multiply (inverse ?1148) (inverse (multiply (inverse ?1148) ?1148)))) =>= ?1147 [1148, 1147, 1146] by Super 2 with 7 at 1,1,1,2
% 33.14/8.60 Id : 237, {_}: inverse (multiply (inverse (inverse (multiply (inverse (multiply ?1182 ?1183)) (multiply ?1182 (multiply ?1184 ?1185))))) (multiply (inverse (multiply ?1184 ?1185)) (inverse (multiply (inverse (multiply ?1186 ?1185)) (multiply ?1186 ?1185))))) =>= ?1183 [1186, 1185, 1184, 1183, 1182] by Super 231 with 142 at 1,2,2,1,2
% 33.14/8.60 Id : 3663, {_}: multiply (inverse (multiply ?26816 (multiply ?26817 ?26818))) (multiply ?26816 (multiply ?26817 ?26818)) =?= multiply (inverse ?26819) ?26819 [26819, 26818, 26817, 26816] by Super 191 with 3515 at 2,3
% 33.14/8.60 Id : 4796, {_}: inverse (multiply (inverse (inverse (multiply (inverse ?34637) ?34637))) (multiply (inverse (multiply ?34638 ?34639)) (inverse (multiply (inverse (multiply ?34640 ?34639)) (multiply ?34640 ?34639))))) =>= multiply ?34638 ?34639 [34640, 34639, 34638, 34637] by Super 237 with 3663 at 1,1,1,1,2
% 33.14/8.60 Id : 5106, {_}: inverse (multiply (inverse (inverse (multiply (inverse ?36515) ?36515))) (multiply (inverse (multiply ?36516 (multiply ?36517 ?36518))) (inverse (multiply (inverse ?36519) ?36519)))) =>= multiply ?36516 (multiply ?36517 ?36518) [36519, 36518, 36517, 36516, 36515] by Super 4796 with 3663 at 1,2,2,1,2
% 33.14/8.60 Id : 5170, {_}: inverse (multiply (inverse (inverse (multiply (inverse ?37070) ?37070))) (multiply (inverse ?37071) (inverse (multiply (inverse ?37072) ?37072)))) =?= multiply (inverse (multiply ?37073 (inverse (multiply (inverse (inverse ?37071)) (multiply (inverse ?37074) (inverse (multiply (inverse ?37074) ?37074))))))) (multiply ?37073 ?37074) [37074, 37073, 37072, 37071, 37070] by Super 5106 with 3515 at 1,1,2,1,2
% 33.14/8.60 Id : 5324, {_}: inverse (multiply (inverse (inverse (multiply (inverse ?37070) ?37070))) (multiply (inverse ?37071) (inverse (multiply (inverse ?37072) ?37072)))) =>= ?37071 [37072, 37071, 37070] by Demod 5170 with 3515 at 3
% 33.14/8.60 Id : 5364, {_}: multiply (inverse (multiply ?37738 ?37739)) (multiply ?37738 ?37739) =?= multiply (inverse ?37740) ?37740 [37740, 37739, 37738] by Super 3515 with 5324 at 2,1,1,2
% 33.14/8.60 Id : 6473, {_}: multiply (inverse (inverse (multiply (inverse ?44321) ?44321))) (multiply (inverse (inverse ?44322)) (inverse (multiply (inverse (inverse ?44322)) (inverse ?44322)))) =>= ?44322 [44322, 44321] by Super 3752 with 5364 at 1,1,1,2
% 33.14/8.60 Id : 6741, {_}: multiply (inverse (inverse (multiply (inverse ?45616) ?45616))) (multiply (inverse (inverse ?45617)) (inverse (multiply (inverse (multiply ?45618 ?45619)) (multiply ?45618 ?45619)))) =>= ?45617 [45619, 45618, 45617, 45616] by Super 6473 with 5364 at 1,2,2,2
% 33.14/8.60 Id : 6801, {_}: multiply (inverse (inverse (multiply (inverse ?46057) ?46057))) (multiply (inverse (inverse ?46058)) (inverse (multiply (inverse ?46059) ?46059))) =>= ?46058 [46059, 46058, 46057] by Super 6741 with 5364 at 1,2,2,2
% 33.14/8.60 Id : 5398, {_}: inverse (multiply (inverse (multiply ?37965 (inverse (multiply (inverse ?37966) ?37966)))) (multiply ?37965 ?37967)) =?= multiply (inverse ?37967) (inverse (multiply (inverse ?37967) ?37967)) [37967, 37966, 37965] by Super 7 with 5324 at 2,3
% 33.14/8.60 Id : 7515, {_}: multiply (inverse (inverse (multiply (inverse ?50471) ?50471))) (inverse (multiply (inverse (multiply ?50472 (inverse (multiply (inverse ?50473) ?50473)))) (multiply ?50472 (inverse ?50474)))) =>= ?50474 [50474, 50473, 50472, 50471] by Super 6801 with 5398 at 2,2
% 33.14/8.60 Id : 8028, {_}: multiply (inverse (inverse (multiply (inverse ?53734) ?53734))) (multiply (inverse ?53735) ?53735) =?= multiply (inverse ?53736) ?53736 [53736, 53735, 53734] by Super 6801 with 7515 at 2,2
% 33.14/8.60 Id : 8259, {_}: multiply (inverse ?54789) ?54789 =?= multiply (inverse ?54790) ?54790 [54790, 54789] by Super 6801 with 8028 at 2
% 33.14/8.60 Id : 8775, {_}: multiply (inverse (multiply ?58109 ?58110)) (multiply ?58109 ?58111) =?= multiply (inverse (multiply (inverse ?58112) ?58112)) (multiply (inverse ?58110) ?58111) [58112, 58111, 58110, 58109] by Super 142 with 8259 at 1,1,3
% 33.14/8.60 Id : 250, {_}: inverse (multiply (inverse (inverse (multiply (inverse (multiply (inverse (multiply ?1260 ?1261)) (multiply ?1260 ?1262))) (multiply (inverse (multiply ?1263 ?1261)) ?1264)))) (multiply (inverse ?1264) (inverse (multiply (inverse ?1264) ?1264)))) =>= multiply ?1263 ?1262 [1264, 1263, 1262, 1261, 1260] by Super 231 with 142 at 1,1,1,1,1,1,2
% 33.14/8.60 Id : 81, {_}: inverse (multiply (inverse (multiply ?295 (inverse (multiply (inverse (multiply ?296 ?297)) (multiply ?296 (inverse (multiply (inverse ?298) ?298))))))) (multiply ?295 ?298)) =>= multiply (inverse ?298) ?297 [298, 297, 296, 295] by Super 2 with 33 at 2,1,1,1,2
% 33.14/8.60 Id : 8773, {_}: multiply (inverse (multiply ?58099 ?58100)) (multiply ?58099 ?58101) =?= multiply (inverse (multiply (inverse ?58101) ?58100)) (multiply (inverse ?58102) ?58102) [58102, 58101, 58100, 58099] by Super 142 with 8259 at 2,3
% 33.14/8.60 Id : 12158, {_}: inverse (multiply (inverse (multiply ?78124 (inverse (multiply (inverse (multiply (inverse (multiply ?78125 ?78126)) (multiply ?78125 ?78127))) (multiply (inverse (multiply (inverse ?78127) ?78126)) (inverse (multiply (inverse ?78128) ?78128))))))) (multiply ?78124 ?78128)) =?= multiply (inverse ?78128) (multiply (inverse ?78129) ?78129) [78129, 78128, 78127, 78126, 78125, 78124] by Super 81 with 8773 at 1,1,1,2,1,1,1,2
% 33.14/8.60 Id : 343, {_}: inverse (multiply (inverse (multiply ?1608 (inverse (multiply (inverse (multiply (inverse (multiply ?1609 ?1610)) (multiply ?1609 ?1611))) (multiply (inverse (multiply ?1612 ?1610)) (inverse (multiply (inverse ?1613) ?1613))))))) (multiply ?1608 ?1613)) =>= multiply (inverse ?1613) (multiply ?1612 ?1611) [1613, 1612, 1611, 1610, 1609, 1608] by Super 327 with 142 at 1,1,1,2,1,1,1,2
% 33.14/8.60 Id : 12692, {_}: multiply (inverse ?78128) (multiply (inverse ?78127) ?78127) =?= multiply (inverse ?78128) (multiply (inverse ?78129) ?78129) [78129, 78127, 78128] by Demod 12158 with 343 at 2
% 33.14/8.60 Id : 12959, {_}: inverse (multiply (inverse (inverse (multiply (inverse (multiply (inverse (multiply (inverse ?83336) ?83337)) (multiply (inverse ?83336) (multiply (inverse ?83338) ?83338)))) (multiply (inverse (multiply ?83339 ?83337)) ?83340)))) (multiply (inverse ?83340) (inverse (multiply (inverse ?83340) ?83340)))) =?= multiply ?83339 (multiply (inverse ?83341) ?83341) [83341, 83340, 83339, 83338, 83337, 83336] by Super 250 with 12692 at 2,1,1,1,1,1,1,2
% 33.14/8.60 Id : 13282, {_}: multiply ?83339 (multiply (inverse ?83338) ?83338) =?= multiply ?83339 (multiply (inverse ?83341) ?83341) [83341, 83338, 83339] by Demod 12959 with 250 at 2
% 33.14/8.60 Id : 8911, {_}: multiply (inverse (inverse (multiply (inverse (multiply ?58933 (inverse ?58934))) (multiply ?58933 ?58935)))) (multiply (inverse ?58935) (inverse (multiply (inverse ?58936) ?58936))) =>= ?58934 [58936, 58935, 58934, 58933] by Super 3752 with 8259 at 1,2,2,2
% 33.14/8.60 Id : 18675, {_}: multiply (inverse (inverse (multiply (inverse (multiply ?119910 (inverse ?119911))) (multiply ?119910 (inverse (multiply (inverse ?119912) ?119912)))))) (multiply (inverse ?119913) ?119913) =>= ?119911 [119913, 119912, 119911, 119910] by Super 13282 with 8911 at 3
% 33.14/8.60 Id : 8503, {_}: inverse (multiply (inverse ?56487) ?56487) =?= inverse (multiply (inverse ?56488) ?56488) [56488, 56487] by Super 5324 with 8028 at 1,2
% 33.14/8.60 Id : 8587, {_}: multiply (inverse (inverse (multiply (inverse ?57029) ?57029))) (inverse (multiply (inverse ?57030) ?57030)) =?= multiply (inverse ?57031) ?57031 [57031, 57030, 57029] by Super 7515 with 8259 at 1,2,2
% 33.14/8.60 Id : 10007, {_}: inverse (multiply (inverse ?65045) ?65045) =?= inverse (multiply (inverse (inverse (multiply (inverse ?65046) ?65046))) (inverse (multiply (inverse ?65047) ?65047))) [65047, 65046, 65045] by Super 8503 with 8587 at 1,3
% 33.14/8.60 Id : 9332, {_}: inverse (multiply (inverse ?61162) ?61162) =?= inverse (multiply (inverse ?61163) ?61163) [61163, 61162] by Super 5324 with 8028 at 1,2
% 33.14/8.60 Id : 9348, {_}: inverse (multiply (inverse ?61263) ?61263) =?= inverse (multiply (inverse (multiply (inverse ?61264) ?61264)) (multiply (inverse ?61265) ?61265)) [61265, 61264, 61263] by Super 9332 with 8503 at 1,1,3
% 33.14/8.60 Id : 10152, {_}: inverse (multiply (inverse (multiply ?65993 ?65994)) (multiply ?65993 ?65995)) =?= multiply (inverse ?65995) (inverse (multiply (inverse ?65994) (multiply (inverse ?65996) ?65996))) [65996, 65995, 65994, 65993] by Super 7 with 8587 at 2,1,2,3
% 33.14/8.60 Id : 25822, {_}: inverse (multiply (inverse ?165610) ?165610) =?= multiply (inverse ?165611) (inverse (multiply (inverse ?165611) (multiply (inverse ?165612) ?165612))) [165612, 165611, 165610] by Super 9348 with 10152 at 3
% 33.14/8.60 Id : 25930, {_}: inverse (multiply (inverse ?166299) ?166299) =?= multiply (inverse (multiply (inverse ?166300) ?166300)) (inverse (multiply (inverse ?166301) ?166301)) [166301, 166300, 166299] by Super 25822 with 8259 at 1,2,3
% 33.14/8.60 Id : 27202, {_}: inverse (multiply (inverse ?173993) ?173993) =?= inverse (multiply (inverse (inverse (multiply (inverse ?173994) ?173994))) (multiply (inverse (multiply (inverse ?173995) ?173995)) (inverse (multiply (inverse ?173996) ?173996)))) [173996, 173995, 173994, 173993] by Super 10007 with 25930 at 2,1,3
% 33.14/8.60 Id : 27672, {_}: inverse (multiply (inverse ?173993) ?173993) =?= multiply (inverse ?173995) ?173995 [173995, 173993] by Demod 27202 with 5324 at 3
% 33.14/8.60 Id : 27743, {_}: multiply (inverse (inverse (multiply (inverse (inverse (multiply (inverse ?177053) ?177053))) (multiply (inverse (inverse ?177054)) (inverse (multiply (inverse ?177055) ?177055)))))) (multiply (inverse ?177056) ?177056) =>= ?177054 [177056, 177055, 177054, 177053] by Super 18675 with 27672 at 1,1,1,1,1,2
% 33.14/8.60 Id : 28487, {_}: multiply (inverse (inverse ?180979)) (multiply (inverse ?180980) ?180980) =>= ?180979 [180980, 180979] by Demod 27743 with 5324 at 1,1,2
% 33.14/8.60 Id : 28554, {_}: multiply (inverse (inverse ?181320)) (inverse (multiply (inverse ?181321) ?181321)) =>= ?181320 [181321, 181320] by Super 28487 with 27672 at 2,2
% 33.14/8.60 Id : 28650, {_}: multiply (inverse (inverse (multiply (inverse ?46057) ?46057))) ?46058 =>= ?46058 [46058, 46057] by Demod 6801 with 28554 at 2,2
% 33.14/8.60 Id : 8733, {_}: inverse (multiply (inverse (multiply ?57913 ?57914)) (multiply ?57913 ?57915)) =?= inverse (multiply (inverse (multiply (inverse ?57915) ?57914)) (multiply (inverse ?57916) ?57916)) [57916, 57915, 57914, 57913] by Super 33 with 8259 at 2,1,3
% 33.14/8.60 Id : 28792, {_}: inverse (multiply (inverse (multiply ?182288 (inverse (multiply (inverse ?182289) ?182289)))) (multiply ?182288 (inverse ?182290))) =?= inverse (multiply (inverse ?182290) (multiply (inverse ?182291) ?182291)) [182291, 182290, 182289, 182288] by Super 8733 with 28554 at 1,1,1,3
% 33.14/8.60 Id : 28654, {_}: inverse (multiply (inverse (multiply ?50472 (inverse (multiply (inverse ?50473) ?50473)))) (multiply ?50472 (inverse ?50474))) =>= ?50474 [50474, 50473, 50472] by Demod 7515 with 28650 at 2
% 33.14/8.60 Id : 28952, {_}: ?182290 =<= inverse (multiply (inverse ?182290) (multiply (inverse ?182291) ?182291)) [182291, 182290] by Demod 28792 with 28654 at 2
% 33.14/8.60 Id : 29267, {_}: multiply (inverse (multiply (inverse ?183126) ?183126)) ?183127 =>= ?183127 [183127, 183126] by Super 28650 with 28952 at 1,1,2
% 33.14/8.60 Id : 29543, {_}: multiply (inverse (multiply ?58109 ?58110)) (multiply ?58109 ?58111) =>= multiply (inverse ?58110) ?58111 [58111, 58110, 58109] by Demod 8775 with 29267 at 3
% 33.14/8.60 Id : 29555, {_}: multiply (inverse ?878) (multiply ?879 ?880) =<= multiply (inverse (multiply (inverse (multiply ?879 ?881)) ?878)) (multiply (inverse (multiply ?882 ?881)) (multiply ?882 ?880)) [882, 881, 880, 879, 878] by Demod 185 with 29543 at 2
% 33.14/8.60 Id : 29556, {_}: multiply (inverse ?878) (multiply ?879 ?880) =<= multiply (inverse (multiply (inverse (multiply ?879 ?881)) ?878)) (multiply (inverse ?881) ?880) [881, 880, 879, 878] by Demod 29555 with 29543 at 2,3
% 33.14/8.60 Id : 29210, {_}: inverse (multiply (inverse (multiply ?65993 ?65994)) (multiply ?65993 ?65995)) =>= multiply (inverse ?65995) ?65994 [65995, 65994, 65993] by Demod 10152 with 28952 at 2,3
% 33.14/8.60 Id : 29549, {_}: inverse (multiply (inverse ?65994) ?65995) =>= multiply (inverse ?65995) ?65994 [65995, 65994] by Demod 29210 with 29543 at 1,2
% 33.14/8.60 Id : 29590, {_}: multiply (inverse ?878) (multiply ?879 ?880) =<= multiply (multiply (inverse ?878) (multiply ?879 ?881)) (multiply (inverse ?881) ?880) [881, 880, 879, 878] by Demod 29556 with 29549 at 1,3
% 33.14/8.60 Id : 29552, {_}: multiply (inverse (multiply ?918 ?919)) ?920 =<= multiply ?921 (multiply (inverse (multiply ?918 (inverse (multiply (inverse ?921) (multiply (inverse ?919) (inverse (multiply (inverse ?919) ?919))))))) ?920) [921, 920, 919, 918] by Demod 191 with 29543 at 2
% 33.14/8.60 Id : 29568, {_}: multiply (inverse (multiply ?918 ?919)) ?920 =<= multiply ?921 (multiply (inverse (multiply ?918 (multiply (inverse (multiply (inverse ?919) (inverse (multiply (inverse ?919) ?919)))) ?921))) ?920) [921, 920, 919, 918] by Demod 29552 with 29549 at 2,1,1,2,3
% 33.14/8.60 Id : 29569, {_}: multiply (inverse (multiply ?918 ?919)) ?920 =<= multiply ?921 (multiply (inverse (multiply ?918 (multiply (multiply (inverse (inverse (multiply (inverse ?919) ?919))) ?919) ?921))) ?920) [921, 920, 919, 918] by Demod 29568 with 29549 at 1,2,1,1,2,3
% 33.14/8.60 Id : 29570, {_}: multiply (inverse (multiply ?918 ?919)) ?920 =<= multiply ?921 (multiply (inverse (multiply ?918 (multiply (multiply (inverse (multiply (inverse ?919) ?919)) ?919) ?921))) ?920) [921, 920, 919, 918] by Demod 29569 with 29549 at 1,1,1,2,1,1,2,3
% 33.14/8.60 Id : 29571, {_}: multiply (inverse (multiply ?918 ?919)) ?920 =<= multiply ?921 (multiply (inverse (multiply ?918 (multiply (multiply (multiply (inverse ?919) ?919) ?919) ?921))) ?920) [921, 920, 919, 918] by Demod 29570 with 29549 at 1,1,2,1,1,2,3
% 33.14/8.60 Id : 29592, {_}: multiply (multiply (inverse ?183126) ?183126) ?183127 =>= ?183127 [183127, 183126] by Demod 29267 with 29549 at 1,2
% 33.14/8.60 Id : 29599, {_}: multiply (inverse (multiply ?918 ?919)) ?920 =<= multiply ?921 (multiply (inverse (multiply ?918 (multiply ?919 ?921))) ?920) [921, 920, 919, 918] by Demod 29571 with 29592 at 1,2,1,1,2,3
% 33.14/8.60 Id : 29609, {_}: multiply (inverse (multiply (multiply (inverse ?184120) ?184120) ?184121)) ?184122 =?= multiply ?184123 (multiply (inverse (multiply ?184121 ?184123)) ?184122) [184123, 184122, 184121, 184120] by Super 29599 with 29592 at 1,1,2,3
% 33.14/8.60 Id : 29720, {_}: multiply (inverse ?184405) ?184406 =<= multiply ?184407 (multiply (inverse (multiply ?184405 ?184407)) ?184406) [184407, 184406, 184405] by Demod 29609 with 29592 at 1,1,2
% 33.14/8.60 Id : 29728, {_}: multiply (inverse (multiply (inverse ?184443) ?184443)) ?184444 =?= multiply ?184445 (multiply (inverse ?184445) ?184444) [184445, 184444, 184443] by Super 29720 with 29592 at 1,1,2,3
% 33.14/8.60 Id : 29792, {_}: multiply (multiply (inverse ?184443) ?184443) ?184444 =?= multiply ?184445 (multiply (inverse ?184445) ?184444) [184445, 184444, 184443] by Demod 29728 with 29549 at 1,2
% 33.14/8.60 Id : 29793, {_}: ?184444 =<= multiply ?184445 (multiply (inverse ?184445) ?184444) [184445, 184444] by Demod 29792 with 29592 at 2
% 33.14/8.60 Id : 29979, {_}: multiply (inverse ?184931) (multiply ?184932 ?184933) =<= multiply (multiply (inverse ?184931) ?184934) (multiply (inverse (multiply (inverse ?184932) ?184934)) ?184933) [184934, 184933, 184932, 184931] by Super 29590 with 29793 at 2,1,3
% 33.14/8.60 Id : 172, {_}: inverse (multiply (inverse (multiply ?796 ?797)) (multiply ?796 (multiply ?798 ?799))) =?= inverse (multiply (inverse (multiply (inverse (multiply ?798 ?800)) ?797)) (multiply (inverse (multiply ?801 ?800)) (multiply ?801 ?799))) [801, 800, 799, 798, 797, 796] by Super 33 with 142 at 2,1,3
% 33.14/8.60 Id : 29229, {_}: multiply (inverse (multiply ?798 ?799)) ?797 =<= inverse (multiply (inverse (multiply (inverse (multiply ?798 ?800)) ?797)) (multiply (inverse (multiply ?801 ?800)) (multiply ?801 ?799))) [801, 800, 797, 799, 798] by Demod 172 with 29210 at 2
% 33.14/8.60 Id : 29548, {_}: multiply (inverse (multiply ?798 ?799)) ?797 =<= inverse (multiply (inverse (multiply (inverse (multiply ?798 ?800)) ?797)) (multiply (inverse ?800) ?799)) [800, 797, 799, 798] by Demod 29229 with 29543 at 2,1,3
% 33.14/8.60 Id : 29600, {_}: multiply (inverse (multiply ?798 ?799)) ?797 =<= multiply (inverse (multiply (inverse ?800) ?799)) (multiply (inverse (multiply ?798 ?800)) ?797) [800, 797, 799, 798] by Demod 29548 with 29549 at 3
% 33.14/8.60 Id : 29601, {_}: multiply (inverse (multiply ?798 ?799)) ?797 =<= multiply (multiply (inverse ?799) ?800) (multiply (inverse (multiply ?798 ?800)) ?797) [800, 797, 799, 798] by Demod 29600 with 29549 at 1,3
% 33.14/8.60 Id : 30005, {_}: multiply (inverse ?184931) (multiply ?184932 ?184933) =<= multiply (inverse (multiply (inverse ?184932) ?184931)) ?184933 [184933, 184932, 184931] by Demod 29979 with 29601 at 3
% 33.14/8.60 Id : 30006, {_}: multiply (inverse ?184931) (multiply ?184932 ?184933) =<= multiply (multiply (inverse ?184931) ?184932) ?184933 [184933, 184932, 184931] by Demod 30005 with 29549 at 1,3
% 33.14/8.60 Id : 29667, {_}: multiply (inverse ?184121) ?184122 =<= multiply ?184123 (multiply (inverse (multiply ?184121 ?184123)) ?184122) [184123, 184122, 184121] by Demod 29609 with 29592 at 1,1,2
% 33.14/8.60 Id : 28386, {_}: multiply (inverse (inverse ?177054)) (multiply (inverse ?177056) ?177056) =>= ?177054 [177056, 177054] by Demod 27743 with 5324 at 1,1,2
% 33.14/8.60 Id : 29702, {_}: multiply (inverse ?184318) (multiply ?184318 (inverse (inverse ?184319))) =>= ?184319 [184319, 184318] by Super 28386 with 29667 at 2
% 33.14/8.60 Id : 8747, {_}: inverse (multiply (inverse (multiply ?57977 (inverse (multiply (inverse ?57978) (multiply (inverse ?57979) (inverse (multiply (inverse ?57980) ?57980))))))) (multiply ?57977 ?57979)) =>= ?57978 [57980, 57979, 57978, 57977] by Super 2 with 8259 at 1,2,2,1,2,1,1,1,2
% 33.14/8.60 Id : 29231, {_}: multiply (inverse ?57979) (inverse (multiply (inverse ?57978) (multiply (inverse ?57979) (inverse (multiply (inverse ?57980) ?57980))))) =>= ?57978 [57980, 57978, 57979] by Demod 8747 with 29210 at 2
% 33.14/8.60 Id : 29586, {_}: multiply (inverse ?57979) (multiply (inverse (multiply (inverse ?57979) (inverse (multiply (inverse ?57980) ?57980)))) ?57978) =>= ?57978 [57978, 57980, 57979] by Demod 29231 with 29549 at 2,2
% 33.14/8.60 Id : 29587, {_}: multiply (inverse ?57979) (multiply (multiply (inverse (inverse (multiply (inverse ?57980) ?57980))) ?57979) ?57978) =>= ?57978 [57978, 57980, 57979] by Demod 29586 with 29549 at 1,2,2
% 33.14/8.60 Id : 29588, {_}: multiply (inverse ?57979) (multiply (multiply (inverse (multiply (inverse ?57980) ?57980)) ?57979) ?57978) =>= ?57978 [57978, 57980, 57979] by Demod 29587 with 29549 at 1,1,1,2,2
% 33.14/8.60 Id : 29589, {_}: multiply (inverse ?57979) (multiply (multiply (multiply (inverse ?57980) ?57980) ?57979) ?57978) =>= ?57978 [57978, 57980, 57979] by Demod 29588 with 29549 at 1,1,2,2
% 33.14/8.60 Id : 29594, {_}: multiply (inverse ?57979) (multiply ?57979 ?57978) =>= ?57978 [57978, 57979] by Demod 29589 with 29592 at 1,2,2
% 33.14/8.60 Id : 29773, {_}: inverse (inverse ?184319) =>= ?184319 [184319] by Demod 29702 with 29594 at 2
% 33.14/8.60 Id : 29846, {_}: inverse (multiply ?184616 ?184617) =<= multiply (inverse ?184617) (inverse ?184616) [184617, 184616] by Super 29549 with 29773 at 1,1,2
% 33.14/8.60 Id : 29876, {_}: multiply (inverse (inverse ?184709)) ?184710 =<= multiply (inverse ?184711) (multiply (inverse (inverse (multiply ?184711 ?184709))) ?184710) [184711, 184710, 184709] by Super 29667 with 29846 at 1,1,2,3
% 33.14/8.60 Id : 29890, {_}: multiply ?184709 ?184710 =<= multiply (inverse ?184711) (multiply (inverse (inverse (multiply ?184711 ?184709))) ?184710) [184711, 184710, 184709] by Demod 29876 with 29773 at 1,2
% 33.14/8.60 Id : 29891, {_}: multiply ?184709 ?184710 =<= multiply (inverse ?184711) (multiply (multiply ?184711 ?184709) ?184710) [184711, 184710, 184709] by Demod 29890 with 29773 at 1,2,3
% 33.14/8.60 Id : 31369, {_}: multiply (inverse ?187121) (multiply (multiply (multiply ?187121 ?187122) ?187123) ?187124) =>= multiply (multiply ?187122 ?187123) ?187124 [187124, 187123, 187122, 187121] by Super 30006 with 29891 at 1,3
% 33.14/8.60 Id : 8605, {_}: multiply (inverse (multiply ?57101 (inverse (multiply (inverse (inverse ?57102)) (multiply (inverse ?57103) (inverse (multiply (inverse ?57104) ?57104))))))) (multiply ?57101 ?57103) =>= ?57102 [57104, 57103, 57102, 57101] by Super 3515 with 8259 at 1,2,2,1,2,1,1,2
% 33.14/8.60 Id : 29550, {_}: multiply (inverse (inverse (multiply (inverse (inverse ?57102)) (multiply (inverse ?57103) (inverse (multiply (inverse ?57104) ?57104)))))) ?57103 =>= ?57102 [57104, 57103, 57102] by Demod 8605 with 29543 at 2
% 33.14/8.60 Id : 29565, {_}: multiply (inverse (multiply (inverse (multiply (inverse ?57103) (inverse (multiply (inverse ?57104) ?57104)))) (inverse ?57102))) ?57103 =>= ?57102 [57102, 57104, 57103] by Demod 29550 with 29549 at 1,1,2
% 33.14/8.60 Id : 29566, {_}: multiply (multiply (inverse (inverse ?57102)) (multiply (inverse ?57103) (inverse (multiply (inverse ?57104) ?57104)))) ?57103 =>= ?57102 [57104, 57103, 57102] by Demod 29565 with 29549 at 1,2
% 33.14/8.60 Id : 29567, {_}: multiply (multiply (inverse (inverse ?57102)) (multiply (inverse ?57103) (multiply (inverse ?57104) ?57104))) ?57103 =>= ?57102 [57104, 57103, 57102] by Demod 29566 with 29549 at 2,2,1,2
% 33.14/8.60 Id : 29831, {_}: multiply (multiply ?57102 (multiply (inverse ?57103) (multiply (inverse ?57104) ?57104))) ?57103 =>= ?57102 [57104, 57103, 57102] by Demod 29567 with 29773 at 1,1,2
% 33.14/8.60 Id : 29832, {_}: multiply ?177054 (multiply (inverse ?177056) ?177056) =>= ?177054 [177056, 177054] by Demod 28386 with 29773 at 1,2
% 33.14/8.60 Id : 29839, {_}: multiply (multiply ?57102 (inverse ?57103)) ?57103 =>= ?57102 [57103, 57102] by Demod 29831 with 29832 at 2,1,2
% 33.14/8.60 Id : 29879, {_}: multiply (inverse (multiply ?184720 ?184721)) ?184720 =>= inverse ?184721 [184721, 184720] by Super 29839 with 29846 at 1,2
% 33.14/8.60 Id : 30292, {_}: multiply (inverse (multiply (inverse (multiply (multiply ?185460 ?185461) ?185462)) ?185460)) ?185463 =>= multiply ?185461 (multiply (inverse (inverse ?185462)) ?185463) [185463, 185462, 185461, 185460] by Super 29599 with 29879 at 1,1,2,3
% 33.14/8.60 Id : 30354, {_}: multiply (multiply (inverse ?185460) (multiply (multiply ?185460 ?185461) ?185462)) ?185463 =>= multiply ?185461 (multiply (inverse (inverse ?185462)) ?185463) [185463, 185462, 185461, 185460] by Demod 30292 with 29549 at 1,2
% 33.14/8.60 Id : 30355, {_}: multiply (multiply (inverse ?185460) (multiply (multiply ?185460 ?185461) ?185462)) ?185463 =>= multiply ?185461 (multiply ?185462 ?185463) [185463, 185462, 185461, 185460] by Demod 30354 with 29773 at 1,2,3
% 33.14/8.60 Id : 41343, {_}: multiply (inverse ?185460) (multiply (multiply (multiply ?185460 ?185461) ?185462) ?185463) =>= multiply ?185461 (multiply ?185462 ?185463) [185463, 185462, 185461, 185460] by Demod 30355 with 30006 at 2
% 33.14/8.60 Id : 41838, {_}: multiply ?187122 (multiply ?187123 ?187124) =?= multiply (multiply ?187122 ?187123) ?187124 [187124, 187123, 187122] by Demod 31369 with 41343 at 2
% 33.14/8.60 Id : 42353, {_}: multiply a3 (multiply b3 c3) === multiply a3 (multiply b3 c3) [] by Demod 1 with 41838 at 2
% 33.14/8.60 Id : 1, {_}: multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3) [] by prove_these_axioms_3
% 33.14/8.60 % SZS output end CNFRefutation for theBenchmark.p
% 33.14/8.60 12654: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 8.273959 using nrkbo
%------------------------------------------------------------------------------