TSTP Solution File: GRP444-1 by Matita---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP444-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n011.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 10:30:19 EDT 2022
% Result : Unsatisfiable 32.75s 8.53s
% Output : CNFRefutation 32.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP444-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.11/0.33 % Computer : n011.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Tue Jun 14 03:21:04 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.11/0.33 21617: Facts:
% 0.11/0.33 21617: Id : 2, {_}:
% 0.11/0.33 inverse
% 0.11/0.33 (multiply ?2
% 0.11/0.33 (multiply ?3
% 0.11/0.33 (multiply (multiply ?4 (inverse ?4))
% 0.11/0.33 (inverse (multiply ?5 (multiply ?2 ?3))))))
% 0.11/0.33 =>=
% 0.11/0.33 ?5
% 0.11/0.33 [5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5
% 0.11/0.33 21617: Goal:
% 0.11/0.33 21617: Id : 1, {_}:
% 0.11/0.33 multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3)
% 0.11/0.33 [] by prove_these_axioms_3
% 32.75/8.53 Statistics :
% 32.75/8.53 Max weight : 52
% 32.75/8.53 Found proof, 8.194507s
% 32.75/8.53 % SZS status Unsatisfiable for theBenchmark.p
% 32.75/8.53 % SZS output start CNFRefutation for theBenchmark.p
% 32.75/8.53 Id : 3, {_}: inverse (multiply ?7 (multiply ?8 (multiply (multiply ?9 (inverse ?9)) (inverse (multiply ?10 (multiply ?7 ?8)))))) =>= ?10 [10, 9, 8, 7] by single_axiom ?7 ?8 ?9 ?10
% 32.75/8.53 Id : 2, {_}: inverse (multiply ?2 (multiply ?3 (multiply (multiply ?4 (inverse ?4)) (inverse (multiply ?5 (multiply ?2 ?3)))))) =>= ?5 [5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5
% 32.75/8.53 Id : 4, {_}: inverse (multiply ?12 (multiply (multiply (multiply ?13 (inverse ?13)) (inverse (multiply ?14 (multiply ?15 ?12)))) (multiply (multiply ?16 (inverse ?16)) ?14))) =>= ?15 [16, 15, 14, 13, 12] by Super 3 with 2 at 2,2,2,1,2
% 32.75/8.53 Id : 7, {_}: inverse (multiply (multiply (multiply ?28 (inverse ?28)) (inverse (multiply ?29 (multiply ?30 ?31)))) (multiply (multiply (multiply ?32 (inverse ?32)) ?29) (multiply (multiply ?33 (inverse ?33)) ?30))) =>= ?31 [33, 32, 31, 30, 29, 28] by Super 2 with 4 at 2,2,2,1,2
% 32.75/8.53 Id : 9, {_}: inverse (multiply ?44 (multiply (multiply (multiply ?45 (inverse ?45)) (inverse (multiply ?46 (multiply ?47 ?44)))) (multiply (multiply ?48 (inverse ?48)) ?46))) =>= ?47 [48, 47, 46, 45, 44] by Super 3 with 2 at 2,2,2,1,2
% 32.75/8.53 Id : 13, {_}: inverse (multiply (multiply (multiply ?76 (inverse ?76)) ?77) (multiply (multiply (multiply ?78 (inverse ?78)) ?79) (multiply (multiply ?80 (inverse ?80)) ?81))) =?= multiply (multiply ?82 (inverse ?82)) (inverse (multiply ?77 (multiply ?79 ?81))) [82, 81, 80, 79, 78, 77, 76] by Super 9 with 4 at 2,1,2,1,2
% 32.75/8.53 Id : 68, {_}: multiply (multiply ?630 (inverse ?630)) (inverse (multiply (inverse (multiply ?631 (multiply ?632 ?633))) (multiply ?631 ?632))) =>= ?633 [633, 632, 631, 630] by Super 7 with 13 at 2
% 32.75/8.53 Id : 5, {_}: inverse (multiply ?18 (multiply ?19 (multiply (multiply (multiply ?20 (multiply ?21 (multiply (multiply ?22 (inverse ?22)) (inverse (multiply ?23 (multiply ?20 ?21)))))) ?23) (inverse (multiply ?24 (multiply ?18 ?19)))))) =>= ?24 [24, 23, 22, 21, 20, 19, 18] by Super 3 with 2 at 2,1,2,2,1,2
% 32.75/8.53 Id : 128, {_}: multiply (multiply ?1235 (inverse ?1235)) (inverse (multiply (inverse (multiply ?1236 (multiply ?1237 ?1238))) (multiply ?1236 ?1237))) =>= ?1238 [1238, 1237, 1236, 1235] by Super 7 with 13 at 2
% 32.75/8.53 Id : 134, {_}: multiply (multiply ?1280 (inverse ?1280)) (inverse (multiply ?1281 (multiply ?1282 (multiply (multiply ?1283 (inverse ?1283)) (inverse (multiply ?1284 (multiply ?1281 ?1282))))))) =?= multiply (multiply ?1285 (inverse ?1285)) ?1284 [1285, 1284, 1283, 1282, 1281, 1280] by Super 128 with 4 at 1,1,2,2
% 32.75/8.53 Id : 152, {_}: multiply (multiply ?1280 (inverse ?1280)) ?1284 =?= multiply (multiply ?1285 (inverse ?1285)) ?1284 [1285, 1284, 1280] by Demod 134 with 2 at 2,2
% 32.75/8.53 Id : 218, {_}: inverse (multiply ?1829 (multiply ?1830 (multiply (multiply (multiply ?1831 (multiply ?1832 (multiply (multiply ?1833 (inverse ?1833)) (inverse (multiply ?1834 (multiply ?1831 ?1832)))))) ?1834) (inverse (multiply (multiply ?1835 (inverse ?1835)) (multiply ?1829 ?1830)))))) =?= multiply ?1836 (inverse ?1836) [1836, 1835, 1834, 1833, 1832, 1831, 1830, 1829] by Super 5 with 152 at 1,2,2,2,1,2
% 32.75/8.53 Id : 271, {_}: multiply ?1835 (inverse ?1835) =?= multiply ?1836 (inverse ?1836) [1836, 1835] by Demod 218 with 5 at 2
% 32.75/8.53 Id : 293, {_}: multiply (multiply ?2201 (inverse ?2201)) (inverse (multiply (inverse (multiply ?2202 (multiply (inverse ?2202) ?2203))) (multiply ?2204 (inverse ?2204)))) =>= ?2203 [2204, 2203, 2202, 2201] by Super 68 with 271 at 2,1,2,2
% 32.75/8.53 Id : 2509, {_}: inverse (multiply (inverse ?14705) (multiply ?14706 (multiply (multiply ?14707 (inverse ?14707)) (inverse (multiply ?14708 (multiply (inverse ?14708) ?14706)))))) =>= ?14705 [14708, 14707, 14706, 14705] by Super 4 with 293 at 1,2,1,2
% 32.75/8.53 Id : 491, {_}: multiply (multiply ?3328 (inverse ?3328)) (inverse (multiply (inverse (multiply ?3329 (multiply ?3330 (inverse ?3330)))) (multiply ?3329 ?3331))) =>= inverse ?3331 [3331, 3330, 3329, 3328] by Super 68 with 271 at 2,1,1,1,2,2
% 32.75/8.53 Id : 494, {_}: multiply (multiply ?3346 (inverse ?3346)) (inverse (multiply (inverse (multiply ?3347 (multiply ?3348 (inverse ?3348)))) (multiply ?3349 (inverse ?3349)))) =>= inverse (inverse ?3347) [3349, 3348, 3347, 3346] by Super 491 with 271 at 2,1,2,2
% 32.75/8.53 Id : 2583, {_}: inverse (multiply (inverse ?15197) (multiply (inverse (inverse (inverse (multiply ?15198 (multiply ?15199 (inverse ?15199)))))) (inverse (inverse ?15198)))) =>= ?15197 [15199, 15198, 15197] by Super 2509 with 494 at 2,2,1,2
% 32.75/8.53 Id : 2582, {_}: inverse (multiply (inverse ?15193) (multiply (inverse (inverse (inverse (multiply ?15194 (multiply (inverse ?15194) ?15195))))) ?15195)) =>= ?15193 [15195, 15194, 15193] by Super 2509 with 293 at 2,2,1,2
% 32.75/8.53 Id : 3279, {_}: inverse (multiply (inverse (inverse (inverse (multiply ?18725 (multiply (inverse ?18725) ?18726))))) (multiply ?18726 (multiply (multiply ?18727 (inverse ?18727)) ?18728))) =>= inverse ?18728 [18728, 18727, 18726, 18725] by Super 2 with 2582 at 2,2,2,1,2
% 32.75/8.53 Id : 12310, {_}: inverse (inverse (multiply ?70654 (multiply (inverse (inverse (inverse (multiply ?70655 (multiply (inverse ?70655) ?70656))))) ?70656))) =>= ?70654 [70656, 70655, 70654] by Super 2 with 3279 at 2
% 32.75/8.53 Id : 3288, {_}: multiply (multiply ?18790 (inverse ?18790)) (multiply (inverse (inverse (inverse (multiply ?18791 (multiply (inverse ?18791) ?18792))))) (multiply ?18792 ?18793)) =>= ?18793 [18793, 18792, 18791, 18790] by Super 68 with 2582 at 2,2
% 32.75/8.53 Id : 654, {_}: inverse (multiply ?4298 (multiply (inverse ?4298) ?4299)) =?= inverse (multiply ?4300 (multiply (inverse ?4300) ?4299)) [4300, 4299, 4298] by Super 2 with 293 at 2,2,1,2
% 32.75/8.53 Id : 2596, {_}: inverse (multiply (inverse (multiply ?15297 (multiply (inverse ?15297) ?15298))) (multiply ?15299 (multiply (multiply ?15300 (inverse ?15300)) (inverse (multiply ?15301 (multiply (inverse ?15301) ?15299)))))) =?= multiply ?15302 (multiply (inverse ?15302) ?15298) [15302, 15301, 15300, 15299, 15298, 15297] by Super 2509 with 654 at 1,1,2
% 32.75/8.53 Id : 652, {_}: inverse (multiply (inverse ?4286) (multiply ?4287 (multiply (multiply ?4288 (inverse ?4288)) (inverse (multiply ?4289 (multiply (inverse ?4289) ?4287)))))) =>= ?4286 [4289, 4288, 4287, 4286] by Super 4 with 293 at 1,2,1,2
% 32.75/8.53 Id : 2625, {_}: multiply ?15297 (multiply (inverse ?15297) ?15298) =?= multiply ?15302 (multiply (inverse ?15302) ?15298) [15302, 15298, 15297] by Demod 2596 with 652 at 2
% 32.75/8.53 Id : 295, {_}: multiply (multiply ?2211 (inverse ?2211)) (inverse (multiply (inverse (multiply ?2212 (multiply ?2213 (inverse ?2213)))) (multiply ?2212 ?2214))) =>= inverse ?2214 [2214, 2213, 2212, 2211] by Super 68 with 271 at 2,1,1,1,2,2
% 32.75/8.53 Id : 1158, {_}: multiply (multiply ?7388 (inverse ?7388)) (inverse (multiply (inverse (multiply ?7389 (multiply ?7390 (inverse ?7390)))) (multiply ?7391 (inverse ?7391)))) =>= inverse (inverse ?7389) [7391, 7390, 7389, 7388] by Super 491 with 271 at 2,1,2,2
% 32.75/8.53 Id : 1195, {_}: multiply (multiply ?7657 (inverse ?7657)) (inverse (multiply (inverse (multiply (multiply ?7658 (inverse ?7658)) (multiply ?7659 (inverse ?7659)))) (multiply ?7660 (inverse ?7660)))) =?= inverse (inverse (multiply ?7661 (inverse ?7661))) [7661, 7660, 7659, 7658, 7657] by Super 1158 with 152 at 1,1,1,2,2
% 32.75/8.53 Id : 1244, {_}: inverse (inverse (multiply ?7658 (inverse ?7658))) =?= inverse (inverse (multiply ?7661 (inverse ?7661))) [7661, 7658] by Demod 1195 with 494 at 2
% 32.75/8.53 Id : 1302, {_}: multiply ?8156 (inverse ?8156) =?= multiply (inverse (multiply ?8157 (inverse ?8157))) (inverse (inverse (multiply ?8158 (inverse ?8158)))) [8158, 8157, 8156] by Super 271 with 1244 at 2,3
% 32.75/8.53 Id : 1396, {_}: multiply (multiply ?8644 (inverse ?8644)) (inverse (multiply (inverse (multiply (inverse (multiply ?8645 (inverse ?8645))) (multiply ?8646 (inverse ?8646)))) (multiply ?8647 (inverse ?8647)))) =?= inverse (inverse (inverse (multiply ?8648 (inverse ?8648)))) [8648, 8647, 8646, 8645, 8644] by Super 295 with 1302 at 2,1,2,2
% 32.75/8.53 Id : 1587, {_}: inverse (inverse (inverse (multiply ?8645 (inverse ?8645)))) =?= inverse (inverse (inverse (multiply ?8648 (inverse ?8648)))) [8648, 8645] by Demod 1396 with 494 at 2
% 32.75/8.53 Id : 1642, {_}: multiply ?9991 (inverse ?9991) =?= multiply (inverse (inverse (multiply ?9992 (inverse ?9992)))) (inverse (inverse (inverse (multiply ?9993 (inverse ?9993))))) [9993, 9992, 9991] by Super 271 with 1587 at 2,3
% 32.75/8.53 Id : 3293, {_}: multiply (multiply ?18819 (inverse ?18819)) (multiply (inverse (inverse (inverse (multiply ?18820 (multiply (inverse ?18820) ?18821))))) (multiply ?18822 (inverse ?18822))) =>= inverse ?18821 [18822, 18821, 18820, 18819] by Super 295 with 2582 at 2,2
% 32.75/8.53 Id : 15070, {_}: inverse (inverse (inverse (multiply ?85980 (inverse ?85980)))) =?= multiply ?85981 (inverse ?85981) [85981, 85980] by Super 12310 with 3293 at 1,1,2
% 32.75/8.53 Id : 15497, {_}: multiply ?88240 (inverse ?88240) =?= multiply (inverse (inverse (multiply ?88241 (inverse ?88241)))) (multiply ?88242 (inverse ?88242)) [88242, 88241, 88240] by Super 1642 with 15070 at 2,3
% 32.75/8.53 Id : 20187, {_}: multiply ?111541 (multiply (inverse ?111541) (inverse (inverse (inverse (inverse (multiply ?111542 (inverse ?111542))))))) =?= multiply ?111543 (inverse ?111543) [111543, 111542, 111541] by Super 2625 with 15497 at 3
% 32.75/8.53 Id : 28859, {_}: multiply (multiply ?156243 (inverse ?156243)) (multiply (inverse (inverse (inverse (multiply ?156244 (multiply (inverse ?156244) ?156245))))) (multiply ?156246 (inverse ?156246))) =?= multiply (inverse ?156245) (inverse (inverse (inverse (inverse (multiply ?156247 (inverse ?156247)))))) [156247, 156246, 156245, 156244, 156243] by Super 3288 with 20187 at 2,2,2
% 32.75/8.53 Id : 29370, {_}: inverse ?158723 =<= multiply (inverse ?158723) (inverse (inverse (inverse (inverse (multiply ?158724 (inverse ?158724)))))) [158724, 158723] by Demod 28859 with 3293 at 2
% 32.75/8.53 Id : 29760, {_}: inverse ?159910 =<= multiply (inverse ?159910) (inverse (multiply ?159911 (inverse ?159911))) [159911, 159910] by Super 29370 with 15070 at 1,2,3
% 32.75/8.53 Id : 29876, {_}: inverse (multiply ?160415 (multiply ?160416 (multiply (multiply ?160417 (inverse ?160417)) (inverse (multiply ?160418 (multiply ?160415 ?160416)))))) =?= multiply ?160418 (inverse (multiply ?160419 (inverse ?160419))) [160419, 160418, 160417, 160416, 160415] by Super 29760 with 2 at 1,3
% 32.75/8.53 Id : 30004, {_}: ?160418 =<= multiply ?160418 (inverse (multiply ?160419 (inverse ?160419))) [160419, 160418] by Demod 29876 with 2 at 2
% 32.75/8.53 Id : 30223, {_}: inverse (inverse (multiply ?161420 (multiply (inverse (inverse (inverse (multiply ?161421 (inverse ?161421))))) (inverse (multiply ?161422 (inverse ?161422)))))) =>= ?161420 [161422, 161421, 161420] by Super 12310 with 30004 at 2,1,1,1,1,2,1,1,2
% 32.75/8.53 Id : 31131, {_}: inverse (inverse (multiply ?164477 (inverse (inverse (inverse (multiply ?164478 (inverse ?164478))))))) =>= ?164477 [164478, 164477] by Demod 30223 with 30004 at 2,1,1,2
% 32.75/8.53 Id : 31242, {_}: inverse (inverse (multiply ?164948 (multiply ?164949 (inverse ?164949)))) =>= ?164948 [164949, 164948] by Super 31131 with 15070 at 2,1,1,2
% 32.75/8.53 Id : 31352, {_}: inverse (multiply (inverse ?15197) (multiply (inverse ?15198) (inverse (inverse ?15198)))) =>= ?15197 [15198, 15197] by Demod 2583 with 31242 at 1,1,2,1,2
% 32.75/8.53 Id : 31521, {_}: inverse (multiply (inverse ?165944) (multiply (inverse (inverse (multiply ?165945 (multiply ?165946 (inverse ?165946))))) (inverse ?165945))) =>= ?165944 [165946, 165945, 165944] by Super 31352 with 31242 at 1,2,2,1,2
% 32.75/8.53 Id : 31648, {_}: inverse (multiply (inverse ?165944) (multiply ?165945 (inverse ?165945))) =>= ?165944 [165945, 165944] by Demod 31521 with 31242 at 1,2,1,2
% 32.75/8.53 Id : 31725, {_}: multiply (multiply ?2201 (inverse ?2201)) (multiply ?2202 (multiply (inverse ?2202) ?2203)) =>= ?2203 [2203, 2202, 2201] by Demod 293 with 31648 at 2,2
% 32.75/8.53 Id : 15633, {_}: multiply ?88922 (multiply (inverse ?88922) (inverse (inverse ?88923))) =?= multiply ?88923 (inverse (inverse (inverse (multiply ?88924 (inverse ?88924))))) [88924, 88923, 88922] by Super 2625 with 15070 at 2,3
% 32.75/8.53 Id : 31212, {_}: inverse (inverse (multiply ?164847 (inverse (inverse (inverse (inverse (inverse (inverse (multiply ?164848 (inverse ?164848)))))))))) =>= ?164847 [164848, 164847] by Super 31131 with 15070 at 1,1,1,2,1,1,2
% 32.75/8.53 Id : 31726, {_}: multiply (multiply ?3346 (inverse ?3346)) (multiply ?3347 (multiply ?3348 (inverse ?3348))) =>= inverse (inverse ?3347) [3348, 3347, 3346] by Demod 494 with 31648 at 2,2
% 32.75/8.53 Id : 34650, {_}: ?176910 =<= multiply ?176910 (inverse (multiply (inverse (multiply ?176911 (multiply ?176912 (inverse ?176912)))) ?176911)) [176912, 176911, 176910] by Super 30004 with 31242 at 2,1,2,3
% 32.75/8.53 Id : 34788, {_}: ?177608 =<= multiply ?177608 (multiply (multiply ?177609 (inverse ?177609)) (multiply ?177610 (inverse ?177610))) [177610, 177609, 177608] by Super 34650 with 31648 at 2,3
% 32.75/8.53 Id : 35016, {_}: multiply ?178128 (inverse ?178128) =?= inverse (inverse (multiply ?178129 (inverse ?178129))) [178129, 178128] by Super 31726 with 34788 at 2
% 32.75/8.53 Id : 35764, {_}: inverse (inverse (multiply ?180985 (inverse (inverse (inverse (inverse (multiply ?180986 (inverse ?180986)))))))) =>= ?180985 [180986, 180985] by Super 31212 with 35016 at 1,1,1,1,2,1,1,2
% 32.75/8.53 Id : 29506, {_}: inverse (multiply ?159293 (multiply ?159294 (multiply (multiply ?159295 (inverse ?159295)) (inverse (multiply ?159296 (multiply ?159293 ?159294)))))) =?= multiply ?159296 (inverse (inverse (inverse (inverse (multiply ?159297 (inverse ?159297)))))) [159297, 159296, 159295, 159294, 159293] by Super 29370 with 2 at 1,3
% 32.75/8.53 Id : 29648, {_}: ?159296 =<= multiply ?159296 (inverse (inverse (inverse (inverse (multiply ?159297 (inverse ?159297)))))) [159297, 159296] by Demod 29506 with 2 at 2
% 32.75/8.53 Id : 35994, {_}: inverse (inverse ?180985) =>= ?180985 [180985] by Demod 35764 with 29648 at 1,1,2
% 32.75/8.53 Id : 36240, {_}: multiply ?88922 (multiply (inverse ?88922) ?88923) =?= multiply ?88923 (inverse (inverse (inverse (multiply ?88924 (inverse ?88924))))) [88924, 88923, 88922] by Demod 15633 with 35994 at 2,2,2
% 32.75/8.53 Id : 36241, {_}: multiply ?88922 (multiply (inverse ?88922) ?88923) =?= multiply ?88923 (inverse (multiply ?88924 (inverse ?88924))) [88924, 88923, 88922] by Demod 36240 with 35994 at 2,3
% 32.75/8.53 Id : 36274, {_}: multiply ?88922 (multiply (inverse ?88922) ?88923) =>= ?88923 [88923, 88922] by Demod 36241 with 30004 at 3
% 32.75/8.53 Id : 36283, {_}: multiply (multiply ?2201 (inverse ?2201)) ?2203 =>= ?2203 [2203, 2201] by Demod 31725 with 36274 at 2,2
% 32.75/8.53 Id : 36293, {_}: inverse (multiply ?2 (multiply ?3 (inverse (multiply ?5 (multiply ?2 ?3))))) =>= ?5 [5, 3, 2] by Demod 2 with 36283 at 2,2,1,2
% 32.75/8.53 Id : 36291, {_}: inverse (multiply ?12 (multiply (inverse (multiply ?14 (multiply ?15 ?12))) (multiply (multiply ?16 (inverse ?16)) ?14))) =>= ?15 [16, 15, 14, 12] by Demod 4 with 36283 at 1,2,1,2
% 32.75/8.53 Id : 36292, {_}: inverse (multiply ?12 (multiply (inverse (multiply ?14 (multiply ?15 ?12))) ?14)) =>= ?15 [15, 14, 12] by Demod 36291 with 36283 at 2,2,1,2
% 32.75/8.53 Id : 36213, {_}: multiply (multiply ?18790 (inverse ?18790)) (multiply (inverse (multiply ?18791 (multiply (inverse ?18791) ?18792))) (multiply ?18792 ?18793)) =>= ?18793 [18793, 18792, 18791, 18790] by Demod 3288 with 35994 at 1,2,2
% 32.75/8.53 Id : 36320, {_}: multiply (inverse (multiply ?18791 (multiply (inverse ?18791) ?18792))) (multiply ?18792 ?18793) =>= ?18793 [18793, 18792, 18791] by Demod 36213 with 36283 at 2
% 32.75/8.53 Id : 36321, {_}: multiply (inverse ?18792) (multiply ?18792 ?18793) =>= ?18793 [18793, 18792] by Demod 36320 with 36274 at 1,1,2
% 32.75/8.53 Id : 36367, {_}: multiply (multiply (inverse ?181961) ?181961) ?181962 =>= ?181962 [181962, 181961] by Super 36283 with 35994 at 2,1,2
% 32.75/8.53 Id : 36417, {_}: inverse (multiply ?182131 (multiply (inverse (multiply ?182132 ?182131)) (multiply (inverse ?182133) ?182133))) =>= ?182132 [182133, 182132, 182131] by Super 36292 with 36367 at 1,1,2,1,2
% 32.75/8.53 Id : 36190, {_}: multiply ?70654 (multiply (inverse (inverse (inverse (multiply ?70655 (multiply (inverse ?70655) ?70656))))) ?70656) =>= ?70654 [70656, 70655, 70654] by Demod 12310 with 35994 at 2
% 32.75/8.53 Id : 36191, {_}: multiply ?70654 (multiply (inverse (multiply ?70655 (multiply (inverse ?70655) ?70656))) ?70656) =>= ?70654 [70656, 70655, 70654] by Demod 36190 with 35994 at 1,2,2
% 32.75/8.53 Id : 36337, {_}: multiply ?70654 (multiply (inverse ?70656) ?70656) =>= ?70654 [70656, 70654] by Demod 36191 with 36274 at 1,1,2,2
% 32.75/8.53 Id : 36444, {_}: inverse (multiply ?182131 (inverse (multiply ?182132 ?182131))) =>= ?182132 [182132, 182131] by Demod 36417 with 36337 at 2,1,2
% 32.75/8.53 Id : 36628, {_}: inverse ?182540 =<= multiply ?182541 (inverse (multiply ?182540 ?182541)) [182541, 182540] by Super 35994 with 36444 at 1,2
% 32.75/8.53 Id : 36792, {_}: multiply (inverse ?182897) (inverse ?182898) =>= inverse (multiply ?182898 ?182897) [182898, 182897] by Super 36321 with 36628 at 2,2
% 32.75/8.53 Id : 36794, {_}: multiply (inverse ?182904) ?182905 =<= inverse (multiply (inverse ?182905) ?182904) [182905, 182904] by Super 36792 with 35994 at 2,2
% 32.75/8.53 Id : 36941, {_}: multiply (inverse (multiply (inverse (multiply ?183152 (multiply ?183153 (inverse ?183154)))) ?183152)) ?183154 =>= ?183153 [183154, 183153, 183152] by Super 36292 with 36794 at 2
% 32.75/8.53 Id : 36977, {_}: multiply (multiply (inverse ?183152) (multiply ?183152 (multiply ?183153 (inverse ?183154)))) ?183154 =>= ?183153 [183154, 183153, 183152] by Demod 36941 with 36794 at 1,2
% 32.75/8.53 Id : 36978, {_}: multiply (multiply ?183153 (inverse ?183154)) ?183154 =>= ?183153 [183154, 183153] by Demod 36977 with 36321 at 1,2
% 32.75/8.53 Id : 37871, {_}: inverse (multiply ?184880 (multiply ?184881 (inverse ?184882))) =>= multiply ?184882 (inverse (multiply ?184880 ?184881)) [184882, 184881, 184880] by Super 36293 with 36978 at 1,2,2,1,2
% 32.75/8.53 Id : 37885, {_}: inverse (multiply ?184947 (inverse ?184948)) =<= multiply (multiply ?184948 ?184949) (inverse (multiply ?184947 ?184949)) [184949, 184948, 184947] by Super 37871 with 36628 at 2,1,2
% 32.75/8.53 Id : 36698, {_}: multiply ?182660 (inverse ?182661) =<= inverse (multiply ?182661 (inverse ?182660)) [182661, 182660] by Super 36274 with 36628 at 2,2
% 32.75/8.53 Id : 38936, {_}: multiply ?186589 (inverse ?186590) =<= multiply (multiply ?186589 ?186591) (inverse (multiply ?186590 ?186591)) [186591, 186590, 186589] by Demod 37885 with 36698 at 2
% 32.75/8.53 Id : 36294, {_}: inverse (multiply (inverse (multiply ?29 (multiply ?30 ?31))) (multiply (multiply (multiply ?32 (inverse ?32)) ?29) (multiply (multiply ?33 (inverse ?33)) ?30))) =>= ?31 [33, 32, 31, 30, 29] by Demod 7 with 36283 at 1,1,2
% 32.75/8.53 Id : 36295, {_}: inverse (multiply (inverse (multiply ?29 (multiply ?30 ?31))) (multiply ?29 (multiply (multiply ?33 (inverse ?33)) ?30))) =>= ?31 [33, 31, 30, 29] by Demod 36294 with 36283 at 1,2,1,2
% 32.75/8.53 Id : 36296, {_}: inverse (multiply (inverse (multiply ?29 (multiply ?30 ?31))) (multiply ?29 ?30)) =>= ?31 [31, 30, 29] by Demod 36295 with 36283 at 2,2,1,2
% 32.75/8.53 Id : 36929, {_}: multiply (inverse (multiply ?29 ?30)) (multiply ?29 (multiply ?30 ?31)) =>= ?31 [31, 30, 29] by Demod 36296 with 36794 at 2
% 32.75/8.53 Id : 38948, {_}: multiply ?186638 (inverse (inverse (multiply ?186639 ?186640))) =<= multiply (multiply ?186638 (multiply ?186639 (multiply ?186640 ?186641))) (inverse ?186641) [186641, 186640, 186639, 186638] by Super 38936 with 36929 at 1,2,3
% 32.75/8.53 Id : 39050, {_}: multiply ?186638 (multiply ?186639 ?186640) =<= multiply (multiply ?186638 (multiply ?186639 (multiply ?186640 ?186641))) (inverse ?186641) [186641, 186640, 186639, 186638] by Demod 38948 with 35994 at 2,2
% 32.75/8.53 Id : 36706, {_}: inverse ?182695 =<= multiply ?182696 (inverse (multiply ?182695 ?182696)) [182696, 182695] by Super 35994 with 36444 at 1,2
% 32.75/8.53 Id : 36720, {_}: inverse ?182737 =<= multiply (inverse (multiply ?182738 ?182737)) (inverse (inverse ?182738)) [182738, 182737] by Super 36706 with 36628 at 1,2,3
% 32.75/8.53 Id : 36751, {_}: inverse ?182737 =<= multiply (inverse (multiply ?182738 ?182737)) ?182738 [182738, 182737] by Demod 36720 with 35994 at 2,3
% 32.75/8.53 Id : 37180, {_}: inverse (multiply ?183611 (multiply ?183612 (inverse ?183613))) =>= multiply ?183613 (inverse (multiply ?183611 ?183612)) [183613, 183612, 183611] by Super 36293 with 36978 at 1,2,2,1,2
% 32.75/8.53 Id : 37866, {_}: inverse (multiply ?184852 (inverse ?184853)) =<= multiply (multiply ?184853 (inverse (multiply ?184854 ?184852))) ?184854 [184854, 184853, 184852] by Super 36751 with 37180 at 1,3
% 32.75/8.53 Id : 38714, {_}: multiply ?186270 (inverse ?186271) =<= multiply (multiply ?186270 (inverse (multiply ?186272 ?186271))) ?186272 [186272, 186271, 186270] by Demod 37866 with 36698 at 2
% 32.75/8.53 Id : 37089, {_}: inverse ?183497 =<= multiply (inverse (multiply ?183498 ?183497)) ?183498 [183498, 183497] by Demod 36720 with 35994 at 2,3
% 32.75/8.53 Id : 37104, {_}: inverse (multiply ?183547 (inverse (multiply ?183548 (multiply ?183549 ?183547)))) =>= multiply ?183548 ?183549 [183549, 183548, 183547] by Super 37089 with 36293 at 1,3
% 32.75/8.53 Id : 37164, {_}: multiply (multiply ?183548 (multiply ?183549 ?183547)) (inverse ?183547) =>= multiply ?183548 ?183549 [183547, 183549, 183548] by Demod 37104 with 36698 at 2
% 32.75/8.53 Id : 38751, {_}: multiply (multiply ?186428 (multiply ?186429 (multiply ?186430 ?186431))) (inverse ?186431) =>= multiply (multiply ?186428 ?186429) ?186430 [186431, 186430, 186429, 186428] by Super 38714 with 37164 at 1,3
% 32.75/8.53 Id : 52600, {_}: multiply ?186638 (multiply ?186639 ?186640) =?= multiply (multiply ?186638 ?186639) ?186640 [186640, 186639, 186638] by Demod 39050 with 38751 at 3
% 32.75/8.53 Id : 53185, {_}: multiply a3 (multiply b3 c3) === multiply a3 (multiply b3 c3) [] by Demod 1 with 52600 at 2
% 32.75/8.53 Id : 1, {_}: multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3) [] by prove_these_axioms_3
% 32.75/8.53 % SZS output end CNFRefutation for theBenchmark.p
% 32.75/8.53 21620: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 8.200622 using nrkbo
%------------------------------------------------------------------------------