TSTP Solution File: GRP437-1 by Matita---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP437-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n028.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 10:30:17 EDT 2022
% Result : Unsatisfiable 3.74s 1.25s
% Output : CNFRefutation 3.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GRP437-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.33 % Computer : n028.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 21:04:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 30851: Facts:
% 0.12/0.33 30851: Id : 2, {_}:
% 0.12/0.33 multiply ?2
% 0.12/0.33 (inverse
% 0.12/0.33 (multiply ?3
% 0.12/0.33 (multiply ?4
% 0.12/0.33 (multiply (multiply (inverse ?4) (inverse (multiply ?5 ?3)))
% 0.12/0.33 ?2))))
% 0.12/0.33 =>=
% 0.12/0.33 ?5
% 0.12/0.33 [5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5
% 0.12/0.33 30851: Goal:
% 0.12/0.33 30851: Id : 1, {_}:
% 0.12/0.33 multiply (multiply (inverse b2) b2) a2 =>= a2
% 0.12/0.33 [] by prove_these_axioms_2
% 3.74/1.25 Statistics :
% 3.74/1.25 Max weight : 67
% 3.74/1.25 Found proof, 0.915657s
% 3.74/1.25 % SZS status Unsatisfiable for theBenchmark.p
% 3.74/1.25 % SZS output start CNFRefutation for theBenchmark.p
% 3.74/1.25 Id : 2, {_}: multiply ?2 (inverse (multiply ?3 (multiply ?4 (multiply (multiply (inverse ?4) (inverse (multiply ?5 ?3))) ?2)))) =>= ?5 [5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5
% 3.74/1.25 Id : 3, {_}: multiply ?7 (inverse (multiply ?8 (multiply ?9 (multiply (multiply (inverse ?9) (inverse (multiply ?10 ?8))) ?7)))) =>= ?10 [10, 9, 8, 7] by single_axiom ?7 ?8 ?9 ?10
% 3.74/1.25 Id : 5, {_}: multiply ?19 (inverse (multiply (multiply ?20 (multiply (multiply (inverse ?20) (inverse (multiply ?21 ?22))) (inverse ?23))) (multiply ?23 (multiply ?21 ?19)))) =>= ?22 [23, 22, 21, 20, 19] by Super 3 with 2 at 1,2,2,1,2,2
% 3.74/1.25 Id : 9, {_}: multiply ?42 (inverse (multiply (multiply ?43 (multiply ?44 (inverse ?45))) (multiply ?45 (multiply ?46 ?42)))) =?= multiply ?47 (multiply (multiply (inverse ?47) (inverse (multiply ?44 ?46))) (inverse ?43)) [47, 46, 45, 44, 43, 42] by Super 2 with 5 at 1,2,2,1,2,2
% 3.74/1.25 Id : 228, {_}: multiply ?2126 (multiply (multiply (inverse ?2126) (inverse (multiply (multiply (inverse ?2127) (inverse (multiply ?2128 ?2129))) ?2128))) (inverse ?2127)) =>= ?2129 [2129, 2128, 2127, 2126] by Super 5 with 9 at 2
% 3.74/1.25 Id : 4, {_}: multiply ?12 (inverse (multiply (inverse (multiply ?13 (multiply ?14 (multiply (multiply (inverse ?14) (inverse (multiply ?15 ?13))) ?16)))) (multiply ?17 (multiply (multiply (inverse ?17) (inverse ?15)) ?12)))) =>= ?16 [17, 16, 15, 14, 13, 12] by Super 3 with 2 at 1,2,1,2,2,1,2,2
% 3.74/1.25 Id : 238, {_}: multiply ?2205 (multiply (multiply (inverse ?2205) (inverse (multiply ?2206 (inverse (multiply ?2207 (multiply ?2208 (multiply (multiply (inverse ?2208) (inverse (multiply ?2209 ?2207))) ?2206))))))) (inverse ?2210)) =?= multiply ?2211 (multiply (multiply (inverse ?2211) (inverse ?2209)) (inverse ?2210)) [2211, 2210, 2209, 2208, 2207, 2206, 2205] by Super 228 with 4 at 1,1,2,1,2,2
% 3.74/1.25 Id : 250, {_}: multiply ?2205 (multiply (multiply (inverse ?2205) (inverse ?2209)) (inverse ?2210)) =?= multiply ?2211 (multiply (multiply (inverse ?2211) (inverse ?2209)) (inverse ?2210)) [2211, 2210, 2209, 2205] by Demod 238 with 2 at 1,2,1,2,2
% 3.74/1.25 Id : 373, {_}: multiply (inverse ?3129) (inverse (multiply ?3130 (multiply ?3131 (inverse (multiply (multiply ?3129 (multiply ?3132 (inverse ?3133))) (multiply ?3133 (multiply ?3130 ?3131))))))) =>= ?3132 [3133, 3132, 3131, 3130, 3129] by Super 2 with 9 at 2,1,2,2
% 3.74/1.25 Id : 400, {_}: multiply (inverse ?3363) (inverse (multiply (multiply (inverse ?3364) (inverse (multiply ?3365 (multiply ?3363 (multiply ?3366 (inverse ?3364)))))) ?3365)) =>= ?3366 [3366, 3365, 3364, 3363] by Super 373 with 2 at 2,1,2,2
% 3.74/1.25 Id : 423, {_}: multiply ?3512 (inverse (multiply ?3513 (multiply ?3514 (multiply ?3515 ?3512)))) =?= multiply (inverse ?3516) (inverse (multiply ?3513 (multiply ?3514 (multiply ?3515 (inverse ?3516))))) [3516, 3515, 3514, 3513, 3512] by Super 2 with 400 at 1,2,2,1,2,2
% 3.74/1.25 Id : 1167, {_}: multiply (inverse ?8402) (inverse (multiply (multiply ?8403 (inverse (multiply ?8404 (multiply ?8402 (multiply ?8405 ?8403))))) ?8404)) =>= ?8405 [8405, 8404, 8403, 8402] by Super 400 with 423 at 1,1,2,2
% 3.74/1.25 Id : 11, {_}: multiply ?57 (inverse (multiply (multiply ?58 (multiply (multiply (inverse ?58) (inverse (multiply ?59 ?60))) (inverse ?61))) (multiply ?61 (multiply ?59 ?57)))) =>= ?60 [61, 60, 59, 58, 57] by Super 3 with 2 at 1,2,2,1,2,2
% 3.74/1.25 Id : 17, {_}: multiply ?104 (inverse (multiply (multiply ?105 (multiply ?106 (inverse ?107))) (multiply ?107 (multiply (multiply ?108 (multiply (multiply (inverse ?108) (inverse (multiply ?109 ?106))) (inverse ?110))) ?104)))) =>= multiply ?110 (multiply ?109 (inverse ?105)) [110, 109, 108, 107, 106, 105, 104] by Super 11 with 5 at 1,2,1,1,2,2
% 3.74/1.25 Id : 437, {_}: multiply (inverse ?3623) (inverse (multiply (multiply (inverse ?3624) (inverse (multiply ?3625 (multiply ?3623 (multiply ?3626 (inverse ?3624)))))) ?3625)) =>= ?3626 [3626, 3625, 3624, 3623] by Super 373 with 2 at 2,1,2,2
% 3.74/1.25 Id : 447, {_}: multiply (inverse ?3701) (inverse (multiply (multiply (inverse ?3702) (inverse (multiply ?3703 (multiply ?3704 (multiply (multiply (inverse ?3704) (inverse ?3705)) (inverse ?3702)))))) ?3703)) =>= multiply (inverse ?3701) (inverse ?3705) [3705, 3704, 3703, 3702, 3701] by Super 437 with 250 at 2,1,2,1,1,2,2
% 3.74/1.25 Id : 478, {_}: multiply ?3908 (inverse (multiply (multiply ?3909 (multiply (multiply (inverse ?3909) (inverse (multiply (inverse ?3910) (inverse ?3911)))) (inverse ?3912))) (multiply ?3912 (multiply (inverse ?3910) ?3908)))) =?= inverse (multiply (multiply (inverse ?3913) (inverse (multiply ?3914 (multiply ?3915 (multiply (multiply (inverse ?3915) (inverse ?3911)) (inverse ?3913)))))) ?3914) [3915, 3914, 3913, 3912, 3911, 3910, 3909, 3908] by Super 5 with 447 at 1,2,1,2,1,1,2,2
% 3.74/1.25 Id : 522, {_}: inverse ?3911 =<= inverse (multiply (multiply (inverse ?3913) (inverse (multiply ?3914 (multiply ?3915 (multiply (multiply (inverse ?3915) (inverse ?3911)) (inverse ?3913)))))) ?3914) [3915, 3914, 3913, 3911] by Demod 478 with 5 at 2
% 3.74/1.25 Id : 1163, {_}: inverse ?8376 =<= inverse (multiply (multiply ?8377 (inverse (multiply ?8378 (multiply ?8379 (multiply (multiply (inverse ?8379) (inverse ?8376)) ?8377))))) ?8378) [8379, 8378, 8377, 8376] by Super 522 with 423 at 1,1,3
% 3.74/1.25 Id : 1483, {_}: multiply ?10600 (inverse (multiply (multiply ?10601 (multiply ?10602 (inverse ?10603))) (multiply ?10603 (multiply (multiply ?10604 (multiply (multiply (inverse ?10604) (inverse (multiply ?10605 ?10602))) (inverse ?10606))) ?10600)))) =?= multiply (multiply (multiply ?10607 (inverse (multiply ?10608 (multiply ?10609 (multiply (multiply (inverse ?10609) (inverse ?10606)) ?10607))))) ?10608) (multiply ?10605 (inverse ?10601)) [10609, 10608, 10607, 10606, 10605, 10604, 10603, 10602, 10601, 10600] by Super 17 with 1163 at 2,2,1,2,2,1,2,2
% 3.74/1.25 Id : 1572, {_}: multiply ?10606 (multiply ?10605 (inverse ?10601)) =<= multiply (multiply (multiply ?10607 (inverse (multiply ?10608 (multiply ?10609 (multiply (multiply (inverse ?10609) (inverse ?10606)) ?10607))))) ?10608) (multiply ?10605 (inverse ?10601)) [10609, 10608, 10607, 10601, 10605, 10606] by Demod 1483 with 17 at 2
% 3.74/1.25 Id : 2088, {_}: multiply (inverse ?14798) (inverse (multiply (multiply (multiply ?14799 (inverse ?14800)) (inverse (multiply ?14801 (multiply ?14798 (multiply ?14802 (multiply ?14799 (inverse ?14800))))))) ?14801)) =?= multiply (multiply ?14803 (inverse (multiply ?14804 (multiply ?14805 (multiply (multiply (inverse ?14805) (inverse ?14802)) ?14803))))) ?14804 [14805, 14804, 14803, 14802, 14801, 14800, 14799, 14798] by Super 1167 with 1572 at 2,2,1,2,1,1,2,2
% 3.74/1.25 Id : 2168, {_}: ?14802 =<= multiply (multiply ?14803 (inverse (multiply ?14804 (multiply ?14805 (multiply (multiply (inverse ?14805) (inverse ?14802)) ?14803))))) ?14804 [14805, 14804, 14803, 14802] by Demod 2088 with 1167 at 2
% 3.74/1.25 Id : 2288, {_}: multiply ?15743 (inverse (multiply (multiply ?15744 (multiply (multiply (inverse ?15744) (inverse ?15745)) (inverse ?15746))) (multiply ?15746 ?15745))) =>= ?15743 [15746, 15745, 15744, 15743] by Super 2 with 2168 at 2,2,1,2,2
% 3.74/1.25 Id : 2370, {_}: multiply ?16289 (multiply (multiply (inverse ?16289) (inverse (multiply (multiply ?16290 (multiply (multiply (inverse ?16290) (inverse ?16291)) (inverse ?16292))) (multiply ?16292 ?16291)))) (inverse ?16293)) =?= multiply ?16294 (multiply (inverse ?16294) (inverse ?16293)) [16294, 16293, 16292, 16291, 16290, 16289] by Super 250 with 2288 at 1,2,3
% 3.74/1.25 Id : 2488, {_}: multiply ?16289 (multiply (inverse ?16289) (inverse ?16293)) =?= multiply ?16294 (multiply (inverse ?16294) (inverse ?16293)) [16294, 16293, 16289] by Demod 2370 with 2288 at 1,2,2
% 3.74/1.25 Id : 2574, {_}: multiply ?17668 (multiply (inverse ?17668) (inverse ?17669)) =?= multiply ?17670 (multiply (inverse ?17670) (inverse ?17669)) [17670, 17669, 17668] by Demod 2370 with 2288 at 1,2,2
% 3.74/1.25 Id : 2586, {_}: multiply ?17752 (multiply (inverse ?17752) (inverse (multiply (multiply ?17753 (multiply (multiply (inverse ?17753) (inverse ?17754)) (inverse ?17755))) (multiply ?17755 ?17754)))) =?= multiply ?17756 (inverse ?17756) [17756, 17755, 17754, 17753, 17752] by Super 2574 with 2288 at 2,3
% 3.74/1.25 Id : 2608, {_}: multiply ?17752 (inverse ?17752) =?= multiply ?17756 (inverse ?17756) [17756, 17752] by Demod 2586 with 2288 at 2,2
% 3.74/1.25 Id : 2699, {_}: multiply ?18418 (multiply (inverse ?18418) (inverse (inverse ?18419))) =?= multiply ?18419 (multiply ?18420 (inverse ?18420)) [18420, 18419, 18418] by Super 2488 with 2608 at 2,3
% 3.74/1.25 Id : 2424, {_}: ?16707 =<= multiply ?16708 (multiply ?16709 (multiply (multiply (inverse ?16709) (inverse (multiply (multiply (inverse ?16710) (inverse ?16707)) ?16708))) (inverse ?16710))) [16710, 16709, 16708, 16707] by Super 2168 with 2288 at 1,3
% 3.74/1.25 Id : 2894, {_}: inverse ?19698 =<= multiply (multiply ?19699 (inverse (multiply ?19700 (multiply ?19698 (multiply (multiply ?19701 (inverse ?19701)) ?19699))))) ?19700 [19701, 19700, 19699, 19698] by Super 2168 with 2608 at 1,2,2,1,2,1,3
% 3.74/1.25 Id : 2912, {_}: inverse ?19832 =<= multiply (multiply (inverse (multiply ?19833 (inverse ?19833))) (inverse (multiply ?19834 (multiply ?19832 (multiply ?19835 (inverse ?19835)))))) ?19834 [19835, 19834, 19833, 19832] by Super 2894 with 2608 at 2,2,1,2,1,3
% 3.74/1.25 Id : 2426, {_}: multiply ?16719 (inverse (multiply (multiply ?16720 (multiply (multiply (inverse ?16720) (inverse ?16721)) (inverse ?16722))) (multiply ?16722 ?16721))) =>= ?16719 [16722, 16721, 16720, 16719] by Super 2 with 2168 at 2,2,1,2,2
% 3.74/1.25 Id : 135, {_}: multiply ?1277 (multiply (multiply (inverse ?1277) (inverse (multiply (multiply (inverse ?1278) (inverse (multiply ?1279 ?1280))) ?1279))) (inverse ?1278)) =>= ?1280 [1280, 1279, 1278, 1277] by Super 5 with 9 at 2
% 3.74/1.25 Id : 2469, {_}: multiply ?17063 (inverse (multiply ?17064 (multiply ?17065 (multiply (multiply (inverse ?17065) (inverse (multiply ?17066 ?17064))) ?17066)))) =>= ?17063 [17066, 17065, 17064, 17063] by Super 2426 with 135 at 1,1,2,2
% 3.74/1.25 Id : 3026, {_}: multiply ?20569 (inverse (multiply ?20570 (multiply ?20571 (multiply (multiply (inverse ?20571) (inverse (multiply ?20572 ?20570))) ?20572)))) =>= ?20569 [20572, 20571, 20570, 20569] by Super 2426 with 135 at 1,1,2,2
% 3.74/1.25 Id : 142, {_}: multiply ?1332 (multiply (multiply (inverse ?1332) (inverse (multiply ?1333 (multiply (inverse ?1334) (inverse (multiply ?1335 (multiply ?1336 (multiply ?1333 (inverse ?1334))))))))) (inverse ?1336)) =>= ?1335 [1336, 1335, 1334, 1333, 1332] by Super 2 with 9 at 2
% 3.74/1.25 Id : 1247, {_}: multiply ?9092 (multiply (multiply (inverse ?9092) (inverse (multiply ?9093 (multiply ?9094 (inverse (multiply ?9095 (multiply ?9096 (multiply ?9093 ?9094)))))))) (inverse ?9096)) =>= ?9095 [9096, 9095, 9094, 9093, 9092] by Super 142 with 423 at 2,1,2,1,2,2
% 3.74/1.25 Id : 3075, {_}: multiply ?20916 (inverse (multiply (multiply ?20917 (inverse (multiply ?20918 (multiply ?20919 (multiply (inverse ?20919) ?20917))))) ?20918)) =>= ?20916 [20919, 20918, 20917, 20916] by Super 3026 with 1247 at 2,1,2,2
% 3.74/1.25 Id : 6458, {_}: multiply ?40540 (inverse (multiply (inverse ?40541) (multiply ?40542 (multiply (multiply (inverse ?40542) (inverse (multiply ?40543 (inverse ?40543)))) ?40540)))) =>= ?40541 [40543, 40542, 40541, 40540] by Super 2 with 2608 at 1,2,1,2,2,1,2,2
% 3.74/1.25 Id : 6463, {_}: multiply ?40571 (inverse (multiply (inverse ?40572) (multiply ?40573 (multiply (multiply (inverse ?40573) (inverse (multiply (multiply ?40574 (multiply (multiply (inverse ?40574) (inverse ?40575)) (inverse ?40576))) (multiply ?40576 ?40575)))) ?40571)))) =>= ?40572 [40576, 40575, 40574, 40573, 40572, 40571] by Super 6458 with 2288 at 1,2,1,2,2,1,2,2
% 3.74/1.25 Id : 6541, {_}: multiply ?40571 (inverse (multiply (inverse ?40572) (multiply ?40573 (multiply (inverse ?40573) ?40571)))) =>= ?40572 [40573, 40572, 40571] by Demod 6463 with 2288 at 1,2,2,1,2,2
% 3.74/1.25 Id : 6572, {_}: multiply ?41101 (inverse (multiply ?41102 (inverse ?41102))) =>= ?41101 [41102, 41101] by Super 3075 with 6541 at 1,1,2,2
% 3.74/1.25 Id : 6726, {_}: multiply ?41940 (inverse (multiply (inverse ?41941) (multiply ?41942 (multiply (inverse ?41942) ?41941)))) =>= ?41940 [41942, 41941, 41940] by Super 2469 with 6572 at 1,2,2,1,2,2
% 3.74/1.25 Id : 7005, {_}: inverse ?43171 =<= multiply (inverse (multiply ?43172 (inverse ?43172))) (inverse (inverse (inverse ?43171))) [43172, 43171] by Super 2912 with 6726 at 1,3
% 3.74/1.25 Id : 7136, {_}: inverse (inverse ?43755) =<= multiply ?43756 (multiply ?43757 (multiply (multiply (inverse ?43757) (inverse (multiply (inverse ?43755) ?43756))) (inverse (multiply ?43758 (inverse ?43758))))) [43758, 43757, 43756, 43755] by Super 2424 with 7005 at 1,1,2,1,2,2,3
% 3.74/1.25 Id : 7243, {_}: inverse (inverse ?44228) =<= multiply ?44229 (multiply ?44230 (multiply (inverse ?44230) (inverse (multiply (inverse ?44228) ?44229)))) [44230, 44229, 44228] by Demod 7136 with 6572 at 2,2,3
% 3.74/1.25 Id : 7295, {_}: inverse (inverse ?44533) =<= multiply (inverse (inverse ?44533)) (multiply ?44534 (inverse ?44534)) [44534, 44533] by Super 7243 with 6572 at 2,2,3
% 3.74/1.25 Id : 7478, {_}: multiply ?45304 (multiply (inverse ?45304) (inverse (inverse (inverse (inverse ?45305))))) =>= inverse (inverse ?45305) [45305, 45304] by Super 2699 with 7295 at 3
% 3.74/1.25 Id : 7485, {_}: multiply (multiply ?45329 (inverse ?45329)) (inverse (inverse ?45330)) =>= inverse (inverse ?45330) [45330, 45329] by Super 7478 with 7005 at 2,2
% 3.74/1.25 Id : 7316, {_}: multiply ?44589 (multiply (inverse ?44589) (inverse (inverse (inverse (inverse ?44590))))) =>= inverse (inverse ?44590) [44590, 44589] by Super 2699 with 7295 at 3
% 3.74/1.25 Id : 7161, {_}: inverse (inverse ?43755) =<= multiply ?43756 (multiply ?43757 (multiply (inverse ?43757) (inverse (multiply (inverse ?43755) ?43756)))) [43757, 43756, 43755] by Demod 7136 with 6572 at 2,2,3
% 3.74/1.25 Id : 7187, {_}: multiply (inverse (multiply (inverse ?43874) (inverse ?43875))) (inverse (inverse (inverse ?43874))) =>= ?43875 [43875, 43874] by Super 6541 with 7161 at 1,2,2
% 3.74/1.25 Id : 7606, {_}: multiply (multiply (inverse (inverse ?45644)) (inverse ?45645)) ?45645 =>= inverse (inverse ?45644) [45645, 45644] by Super 7316 with 7187 at 2,2
% 3.74/1.25 Id : 7688, {_}: inverse (inverse ?46020) =<= multiply (inverse (inverse ?46020)) (inverse (inverse (multiply ?46021 (inverse ?46021)))) [46021, 46020] by Super 6572 with 7606 at 2
% 3.74/1.25 Id : 7836, {_}: multiply ?46636 (inverse (multiply (inverse (inverse (inverse (multiply ?46637 (inverse ?46637))))) (multiply (inverse ?46638) (inverse (inverse ?46638))))) =>= ?46636 [46638, 46637, 46636] by Super 6726 with 7688 at 2,2,1,2,2
% 3.74/1.25 Id : 7901, {_}: multiply ?46636 (inverse (inverse (inverse (inverse (multiply ?46637 (inverse ?46637)))))) =>= ?46636 [46637, 46636] by Demod 7836 with 7295 at 1,2,2
% 3.74/1.25 Id : 8021, {_}: inverse (multiply (inverse (inverse (multiply ?47460 (inverse ?47460)))) (inverse ?47461)) =>= ?47461 [47461, 47460] by Super 7187 with 7901 at 2
% 3.74/1.25 Id : 8218, {_}: multiply (multiply (inverse ?48281) (inverse ?48282)) ?48282 =?= inverse (inverse (multiply (inverse (inverse (multiply ?48283 (inverse ?48283)))) (inverse ?48281))) [48283, 48282, 48281] by Super 7606 with 8021 at 1,1,1,2
% 3.74/1.25 Id : 8274, {_}: multiply (multiply (inverse ?48281) (inverse ?48282)) ?48282 =>= inverse ?48281 [48282, 48281] by Demod 8218 with 8021 at 1,3
% 3.74/1.25 Id : 8350, {_}: ?48531 =<= multiply ?48531 (multiply ?48532 (multiply (multiply (inverse ?48532) (inverse (inverse ?48533))) (inverse ?48533))) [48533, 48532, 48531] by Super 2424 with 8274 at 1,2,1,2,2,3
% 3.74/1.25 Id : 8484, {_}: ?48531 =<= multiply ?48531 (multiply ?48532 (inverse ?48532)) [48532, 48531] by Demod 8350 with 8274 at 2,2,3
% 3.74/1.25 Id : 8512, {_}: multiply (multiply ?49174 (inverse ?49174)) (inverse (multiply (inverse ?49175) (multiply ?49176 (inverse ?49176)))) =>= ?49175 [49176, 49175, 49174] by Super 6541 with 8484 at 2,2,1,2,2
% 3.74/1.25 Id : 8639, {_}: multiply (multiply ?49174 (inverse ?49174)) (inverse (inverse ?49175)) =>= ?49175 [49175, 49174] by Demod 8512 with 8484 at 1,2,2
% 3.74/1.25 Id : 8640, {_}: inverse (inverse ?49175) =>= ?49175 [49175] by Demod 8639 with 7485 at 2
% 3.74/1.25 Id : 8670, {_}: multiply (multiply ?45329 (inverse ?45329)) ?45330 =>= inverse (inverse ?45330) [45330, 45329] by Demod 7485 with 8640 at 2,2
% 3.74/1.25 Id : 8671, {_}: multiply (multiply ?45329 (inverse ?45329)) ?45330 =>= ?45330 [45330, 45329] by Demod 8670 with 8640 at 3
% 3.74/1.25 Id : 8698, {_}: multiply (multiply (inverse ?49708) ?49708) ?49709 =>= ?49709 [49709, 49708] by Super 8671 with 8640 at 2,1,2
% 3.74/1.25 Id : 9042, {_}: a2 === a2 [] by Demod 1 with 8698 at 2
% 3.74/1.25 Id : 1, {_}: multiply (multiply (inverse b2) b2) a2 =>= a2 [] by prove_these_axioms_2
% 3.74/1.25 % SZS output end CNFRefutation for theBenchmark.p
% 3.74/1.25 30854: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.919374 using nrkbo
%------------------------------------------------------------------------------