TSTP Solution File: GRP429-1 by Matita---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP429-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n018.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 10:30:15 EDT 2022
% Result : Unsatisfiable 5.58s 1.71s
% Output : CNFRefutation 5.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP429-1 : TPTP v8.1.0. Released v2.6.0.
% 0.03/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.33 % Computer : n018.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 : Tue Jun 14 05:18:58 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 6135: Facts:
% 0.12/0.34 6135: Id : 2, {_}:
% 0.12/0.34 multiply ?2
% 0.12/0.34 (inverse
% 0.12/0.34 (multiply
% 0.12/0.34 (multiply
% 0.12/0.34 (inverse (multiply (inverse ?3) (multiply (inverse ?2) ?4)))
% 0.12/0.34 ?5) (inverse (multiply ?3 ?5))))
% 0.12/0.34 =>=
% 0.12/0.34 ?4
% 0.12/0.34 [5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5
% 0.12/0.34 6135: Goal:
% 0.12/0.34 6135: Id : 1, {_}:
% 0.12/0.34 multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3)
% 0.12/0.34 [] by prove_these_axioms_3
% 5.58/1.71 Statistics :
% 5.58/1.71 Max weight : 50
% 5.58/1.71 Found proof, 1.371609s
% 5.58/1.71 % SZS status Unsatisfiable for theBenchmark.p
% 5.58/1.71 % SZS output start CNFRefutation for theBenchmark.p
% 5.58/1.71 Id : 2, {_}: multiply ?2 (inverse (multiply (multiply (inverse (multiply (inverse ?3) (multiply (inverse ?2) ?4))) ?5) (inverse (multiply ?3 ?5)))) =>= ?4 [5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5
% 5.58/1.71 Id : 3, {_}: multiply ?7 (inverse (multiply (multiply (inverse (multiply (inverse ?8) (multiply (inverse ?7) ?9))) ?10) (inverse (multiply ?8 ?10)))) =>= ?9 [10, 9, 8, 7] by single_axiom ?7 ?8 ?9 ?10
% 5.58/1.71 Id : 6, {_}: multiply ?26 (inverse (multiply ?27 (inverse (multiply ?28 (inverse (multiply (multiply (inverse (multiply (inverse ?29) (multiply (inverse (inverse (multiply (inverse ?28) (multiply (inverse ?26) ?30)))) ?27))) ?31) (inverse (multiply ?29 ?31)))))))) =>= ?30 [31, 30, 29, 28, 27, 26] by Super 3 with 2 at 1,1,2,2
% 5.58/1.71 Id : 5, {_}: multiply ?19 (inverse (multiply (multiply (inverse (multiply (inverse ?20) ?21)) ?22) (inverse (multiply ?20 ?22)))) =?= inverse (multiply (multiply (inverse (multiply (inverse ?23) (multiply (inverse (inverse ?19)) ?21))) ?24) (inverse (multiply ?23 ?24))) [24, 23, 22, 21, 20, 19] by Super 3 with 2 at 2,1,1,1,1,2,2
% 5.58/1.71 Id : 63, {_}: multiply (inverse ?569) (multiply ?569 (inverse (multiply (multiply (inverse (multiply (inverse ?570) ?571)) ?572) (inverse (multiply ?570 ?572))))) =>= ?571 [572, 571, 570, 569] by Super 2 with 5 at 2,2
% 5.58/1.71 Id : 64, {_}: inverse (multiply (multiply (inverse (multiply (inverse ?574) (multiply (inverse (inverse ?575)) (multiply (inverse ?575) ?576)))) ?577) (inverse (multiply ?574 ?577))) =>= ?576 [577, 576, 575, 574] by Super 2 with 5 at 2
% 5.58/1.71 Id : 287, {_}: multiply (inverse ?2293) (multiply ?2293 ?2294) =?= multiply (inverse (inverse ?2295)) (multiply (inverse ?2295) ?2294) [2295, 2294, 2293] by Super 63 with 64 at 2,2,2
% 5.58/1.71 Id : 188, {_}: multiply (inverse ?1656) (multiply ?1656 ?1657) =?= multiply (inverse (inverse ?1658)) (multiply (inverse ?1658) ?1657) [1658, 1657, 1656] by Super 63 with 64 at 2,2,2
% 5.58/1.71 Id : 301, {_}: multiply (inverse ?2384) (multiply ?2384 ?2385) =?= multiply (inverse ?2386) (multiply ?2386 ?2385) [2386, 2385, 2384] by Super 287 with 188 at 3
% 5.58/1.71 Id : 402, {_}: multiply (inverse ?2901) (multiply ?2901 (inverse (multiply (multiply (inverse (multiply (inverse ?2902) (multiply ?2902 ?2903))) ?2904) (inverse (multiply ?2905 ?2904))))) =>= multiply ?2905 ?2903 [2905, 2904, 2903, 2902, 2901] by Super 63 with 301 at 1,1,1,1,2,2,2
% 5.58/1.71 Id : 551, {_}: multiply ?3795 (inverse (multiply (multiply (inverse (multiply (inverse ?3796) (multiply ?3796 ?3797))) ?3798) (inverse (multiply (inverse ?3795) ?3798)))) =>= ?3797 [3798, 3797, 3796, 3795] by Super 2 with 301 at 1,1,1,1,2,2
% 5.58/1.71 Id : 1900, {_}: multiply ?13216 (inverse (multiply (multiply (inverse (multiply (inverse ?13217) (multiply ?13217 ?13218))) (multiply ?13216 ?13219)) (inverse (multiply (inverse ?13220) (multiply ?13220 ?13219))))) =>= ?13218 [13220, 13219, 13218, 13217, 13216] by Super 551 with 301 at 1,2,1,2,2
% 5.58/1.71 Id : 1975, {_}: multiply (multiply (inverse ?13848) (multiply ?13848 ?13849)) (inverse (multiply ?13850 (inverse (multiply (inverse ?13851) (multiply ?13851 (inverse (multiply (multiply (inverse (multiply (inverse ?13852) ?13850)) ?13853) (inverse (multiply ?13852 ?13853))))))))) =>= ?13849 [13853, 13852, 13851, 13850, 13849, 13848] by Super 1900 with 63 at 1,1,2,2
% 5.58/1.71 Id : 2009, {_}: multiply (multiply (inverse ?13848) (multiply ?13848 ?13849)) (inverse (multiply ?13850 (inverse ?13850))) =>= ?13849 [13850, 13849, 13848] by Demod 1975 with 63 at 1,2,1,2,2
% 5.58/1.71 Id : 2038, {_}: multiply (inverse (multiply (inverse ?14074) (multiply ?14074 ?14075))) ?14075 =?= multiply (inverse (multiply (inverse ?14076) (multiply ?14076 ?14077))) ?14077 [14077, 14076, 14075, 14074] by Super 402 with 2009 at 2,2
% 5.58/1.71 Id : 2243, {_}: multiply (inverse (inverse (multiply (inverse ?15357) (multiply ?15357 (inverse (multiply (multiply (inverse (multiply (inverse ?15358) ?15359)) ?15360) (inverse (multiply ?15358 ?15360)))))))) (multiply (inverse (multiply (inverse ?15361) (multiply ?15361 ?15362))) ?15362) =>= ?15359 [15362, 15361, 15360, 15359, 15358, 15357] by Super 63 with 2038 at 2,2
% 5.58/1.71 Id : 2410, {_}: multiply (inverse (inverse ?15359)) (multiply (inverse (multiply (inverse ?15361) (multiply ?15361 ?15362))) ?15362) =>= ?15359 [15362, 15361, 15359] by Demod 2243 with 63 at 1,1,1,2
% 5.58/1.71 Id : 135, {_}: multiply (inverse ?1258) (multiply ?1258 (inverse (multiply (multiply (inverse (multiply (inverse ?1259) ?1260)) ?1261) (inverse (multiply ?1259 ?1261))))) =>= ?1260 [1261, 1260, 1259, 1258] by Super 2 with 5 at 2,2
% 5.58/1.71 Id : 154, {_}: multiply (inverse ?1413) (multiply ?1413 (multiply ?1414 (inverse (multiply (multiply (inverse (multiply (inverse ?1415) ?1416)) ?1417) (inverse (multiply ?1415 ?1417)))))) =>= multiply (inverse (inverse ?1414)) ?1416 [1417, 1416, 1415, 1414, 1413] by Super 135 with 5 at 2,2,2
% 5.58/1.71 Id : 2475, {_}: multiply (inverse (inverse (inverse ?16925))) ?16925 =?= multiply (inverse (inverse (inverse (multiply (inverse ?16926) (multiply ?16926 (inverse (multiply (multiply (inverse (multiply (inverse ?16927) ?16928)) ?16929) (inverse (multiply ?16927 ?16929))))))))) ?16928 [16929, 16928, 16927, 16926, 16925] by Super 154 with 2410 at 2,2
% 5.58/1.71 Id : 2558, {_}: multiply (inverse (inverse (inverse ?16925))) ?16925 =?= multiply (inverse (inverse (inverse ?16928))) ?16928 [16928, 16925] by Demod 2475 with 63 at 1,1,1,1,3
% 5.58/1.71 Id : 2724, {_}: multiply (inverse (inverse ?18143)) (multiply (inverse (multiply (inverse (inverse (inverse (inverse ?18144)))) (multiply (inverse (inverse (inverse ?18145))) ?18145))) ?18144) =>= ?18143 [18145, 18144, 18143] by Super 2410 with 2558 at 2,1,1,2,2
% 5.58/1.71 Id : 386, {_}: multiply ?2785 (inverse (multiply (multiply (inverse ?2786) (multiply ?2786 ?2787)) (inverse (multiply ?2788 (multiply (multiply (inverse ?2788) (multiply (inverse ?2785) ?2789)) ?2787))))) =>= ?2789 [2789, 2788, 2787, 2786, 2785] by Super 2 with 301 at 1,1,2,2
% 5.58/1.71 Id : 190, {_}: inverse (multiply (multiply (inverse (multiply (inverse ?1668) (multiply (inverse (inverse ?1669)) (multiply (inverse ?1669) ?1670)))) ?1671) (inverse (multiply ?1668 ?1671))) =>= ?1670 [1671, 1670, 1669, 1668] by Super 2 with 5 at 2
% 5.58/1.71 Id : 198, {_}: inverse (multiply (multiply (inverse (multiply (inverse ?1730) (multiply (inverse (inverse (multiply (multiply (inverse (multiply (inverse ?1731) (multiply (inverse (inverse ?1732)) (multiply (inverse ?1732) ?1733)))) ?1734) (inverse (multiply ?1731 ?1734))))) (multiply ?1733 ?1735)))) ?1736) (inverse (multiply ?1730 ?1736))) =>= ?1735 [1736, 1735, 1734, 1733, 1732, 1731, 1730] by Super 190 with 64 at 1,2,2,1,1,1,1,2
% 5.58/1.71 Id : 224, {_}: inverse (multiply (multiply (inverse (multiply (inverse ?1730) (multiply (inverse ?1733) (multiply ?1733 ?1735)))) ?1736) (inverse (multiply ?1730 ?1736))) =>= ?1735 [1736, 1735, 1733, 1730] by Demod 198 with 64 at 1,1,2,1,1,1,1,2
% 5.58/1.71 Id : 638, {_}: multiply (inverse ?4392) (multiply ?4392 (multiply ?4393 (inverse (multiply (multiply (inverse (multiply (inverse ?4394) ?4395)) ?4396) (inverse (multiply ?4394 ?4396)))))) =>= multiply (inverse (inverse ?4393)) ?4395 [4396, 4395, 4394, 4393, 4392] by Super 135 with 5 at 2,2,2
% 5.58/1.71 Id : 671, {_}: multiply (inverse ?4676) (multiply ?4676 (multiply ?4677 ?4678)) =?= multiply (inverse (inverse ?4677)) (multiply (inverse ?4679) (multiply ?4679 ?4678)) [4679, 4678, 4677, 4676] by Super 638 with 224 at 2,2,2,2
% 5.58/1.71 Id : 763, {_}: inverse (multiply (multiply (inverse (multiply (inverse ?5282) (multiply ?5282 (multiply ?5283 ?5284)))) ?5285) (inverse (multiply (inverse ?5283) ?5285))) =>= ?5284 [5285, 5284, 5283, 5282] by Super 224 with 671 at 1,1,1,1,2
% 5.58/1.71 Id : 2217, {_}: inverse (multiply (multiply (inverse (multiply (inverse ?15177) (multiply ?15177 ?15178))) ?15178) (inverse (multiply (inverse ?15179) (multiply ?15179 ?15180)))) =>= ?15180 [15180, 15179, 15178, 15177] by Super 763 with 2038 at 1,1,2
% 5.58/1.71 Id : 2596, {_}: multiply (multiply (inverse (inverse (inverse (inverse ?17397)))) (multiply (inverse (inverse (inverse ?17398))) ?17398)) (inverse (multiply ?17399 (inverse ?17399))) =>= ?17397 [17399, 17398, 17397] by Super 2009 with 2558 at 2,1,2
% 5.58/1.71 Id : 2474, {_}: multiply (inverse ?16918) (multiply ?16918 (multiply ?16919 (inverse (multiply (multiply (inverse ?16920) ?16921) (inverse (multiply (inverse ?16920) ?16921)))))) =?= multiply (inverse (inverse ?16919)) (multiply (inverse (multiply (inverse ?16922) (multiply ?16922 ?16923))) ?16923) [16923, 16922, 16921, 16920, 16919, 16918] by Super 154 with 2410 at 1,1,1,1,2,2,2,2
% 5.58/1.71 Id : 4107, {_}: multiply (inverse ?26136) (multiply ?26136 (multiply ?26137 (inverse (multiply (multiply (inverse ?26138) ?26139) (inverse (multiply (inverse ?26138) ?26139)))))) =>= ?26137 [26139, 26138, 26137, 26136] by Demod 2474 with 2410 at 3
% 5.58/1.71 Id : 4115, {_}: multiply (inverse ?26200) (multiply ?26200 (multiply ?26201 (inverse (multiply (multiply (inverse ?26202) (inverse (multiply (multiply (inverse (multiply (inverse ?26203) (multiply (inverse (inverse ?26202)) ?26204))) ?26205) (inverse (multiply ?26203 ?26205))))) (inverse ?26204))))) =>= ?26201 [26205, 26204, 26203, 26202, 26201, 26200] by Super 4107 with 2 at 1,2,1,2,2,2,2
% 5.58/1.71 Id : 4233, {_}: multiply (inverse ?26200) (multiply ?26200 (multiply ?26201 (inverse (multiply ?26204 (inverse ?26204))))) =>= ?26201 [26204, 26201, 26200] by Demod 4115 with 2 at 1,1,2,2,2,2
% 5.58/1.71 Id : 4286, {_}: multiply ?26895 (inverse (multiply ?26896 (inverse ?26896))) =?= multiply ?26895 (inverse (multiply ?26897 (inverse ?26897))) [26897, 26896, 26895] by Super 2596 with 4233 at 1,2
% 5.58/1.71 Id : 4890, {_}: inverse (multiply (multiply (inverse (multiply (inverse ?30017) (multiply ?30017 ?30018))) ?30018) (inverse (multiply (inverse ?30019) (multiply ?30019 (inverse (multiply ?30020 (inverse ?30020))))))) =?= inverse (multiply ?30021 (inverse ?30021)) [30021, 30020, 30019, 30018, 30017] by Super 2217 with 4286 at 2,1,2,1,2
% 5.58/1.71 Id : 4951, {_}: inverse (multiply ?30020 (inverse ?30020)) =?= inverse (multiply ?30021 (inverse ?30021)) [30021, 30020] by Demod 4890 with 2217 at 2
% 5.58/1.71 Id : 5227, {_}: multiply (inverse (inverse (multiply ?31553 (inverse ?31553)))) (multiply (inverse (multiply (inverse (inverse (inverse (inverse ?31554)))) (multiply (inverse (inverse (inverse ?31555))) ?31555))) ?31554) =?= multiply ?31556 (inverse ?31556) [31556, 31555, 31554, 31553] by Super 2724 with 4951 at 1,1,2
% 5.58/1.71 Id : 5284, {_}: multiply ?31553 (inverse ?31553) =?= multiply ?31556 (inverse ?31556) [31556, 31553] by Demod 5227 with 2724 at 2
% 5.58/1.71 Id : 5340, {_}: multiply (multiply (inverse ?31932) (multiply ?31933 (inverse ?31933))) (inverse (multiply ?31934 (inverse ?31934))) =>= inverse ?31932 [31934, 31933, 31932] by Super 2009 with 5284 at 2,1,2
% 5.58/1.71 Id : 5817, {_}: multiply ?34571 (inverse (multiply (multiply (inverse ?34572) (multiply ?34572 (inverse (multiply ?34573 (inverse ?34573))))) (inverse (multiply ?34574 (inverse ?34574))))) =>= inverse (inverse ?34571) [34574, 34573, 34572, 34571] by Super 386 with 5340 at 2,1,2,1,2,2
% 5.58/1.71 Id : 5892, {_}: multiply ?34571 (inverse (inverse (multiply ?34573 (inverse ?34573)))) =>= inverse (inverse ?34571) [34573, 34571] by Demod 5817 with 2009 at 1,2,2
% 5.58/1.71 Id : 5932, {_}: multiply (inverse (inverse ?35050)) (multiply (inverse (multiply (inverse ?35051) (inverse (inverse ?35051)))) (inverse (inverse (multiply ?35052 (inverse ?35052))))) =>= ?35050 [35052, 35051, 35050] by Super 2410 with 5892 at 2,1,1,2,2
% 5.58/1.71 Id : 6684, {_}: multiply (inverse (inverse ?38132)) (inverse (inverse (inverse (multiply (inverse ?38133) (inverse (inverse ?38133)))))) =>= ?38132 [38133, 38132] by Demod 5932 with 5892 at 2,2
% 5.58/1.71 Id : 6012, {_}: multiply ?35487 (inverse ?35487) =?= inverse (inverse (inverse (multiply ?35488 (inverse ?35488)))) [35488, 35487] by Super 5284 with 5892 at 3
% 5.58/1.71 Id : 6714, {_}: multiply (inverse (inverse ?38277)) (multiply ?38278 (inverse ?38278)) =>= ?38277 [38278, 38277] by Super 6684 with 6012 at 2,2
% 5.58/1.71 Id : 6844, {_}: multiply ?38788 (inverse (multiply ?38789 (inverse ?38789))) =>= inverse (inverse ?38788) [38789, 38788] by Super 2009 with 6714 at 1,2
% 5.58/1.71 Id : 7027, {_}: multiply (inverse (inverse ?39572)) (inverse (inverse (inverse (multiply (inverse (inverse (inverse (inverse (inverse (multiply ?39573 (inverse ?39573))))))) (multiply (inverse (inverse (inverse ?39574))) ?39574))))) =>= ?39572 [39574, 39573, 39572] by Super 2724 with 6844 at 2,2
% 5.58/1.71 Id : 6914, {_}: inverse (inverse (multiply (inverse (inverse (inverse (inverse ?17397)))) (multiply (inverse (inverse (inverse ?17398))) ?17398))) =>= ?17397 [17398, 17397] by Demod 2596 with 6844 at 2
% 5.58/1.71 Id : 7082, {_}: multiply (inverse (inverse ?39572)) (inverse (inverse (multiply ?39573 (inverse ?39573)))) =>= ?39572 [39573, 39572] by Demod 7027 with 6914 at 1,2,2
% 5.58/1.71 Id : 7083, {_}: inverse (inverse (inverse (inverse ?39572))) =>= ?39572 [39572] by Demod 7082 with 5892 at 2
% 5.58/1.71 Id : 896, {_}: inverse (multiply (multiply (inverse (multiply (inverse ?6059) (multiply ?6059 (multiply ?6060 ?6061)))) ?6062) (inverse (multiply (inverse ?6060) ?6062))) =>= ?6061 [6062, 6061, 6060, 6059] by Super 224 with 671 at 1,1,1,1,2
% 5.58/1.71 Id : 917, {_}: inverse (multiply (multiply (inverse (multiply (inverse ?6221) (multiply ?6221 (multiply (inverse ?6222) (multiply ?6222 ?6223))))) ?6224) (inverse (multiply (inverse (inverse ?6225)) ?6224))) =>= multiply ?6225 ?6223 [6225, 6224, 6223, 6222, 6221] by Super 896 with 301 at 2,2,1,1,1,1,2
% 5.58/1.71 Id : 6915, {_}: multiply (inverse ?26200) (multiply ?26200 (inverse (inverse ?26201))) =>= ?26201 [26201, 26200] by Demod 4233 with 6844 at 2,2,2
% 5.58/1.71 Id : 7304, {_}: multiply (inverse ?40285) (multiply ?40285 ?40286) =>= inverse (inverse ?40286) [40286, 40285] by Super 6915 with 7083 at 2,2,2
% 5.58/1.71 Id : 7717, {_}: inverse (multiply (multiply (inverse (inverse (inverse (multiply (inverse ?6222) (multiply ?6222 ?6223))))) ?6224) (inverse (multiply (inverse (inverse ?6225)) ?6224))) =>= multiply ?6225 ?6223 [6225, 6224, 6223, 6222] by Demod 917 with 7304 at 1,1,1,1,2
% 5.58/1.71 Id : 7718, {_}: inverse (multiply (multiply (inverse (inverse (inverse (inverse (inverse ?6223))))) ?6224) (inverse (multiply (inverse (inverse ?6225)) ?6224))) =>= multiply ?6225 ?6223 [6225, 6224, 6223] by Demod 7717 with 7304 at 1,1,1,1,1,1,2
% 5.58/1.71 Id : 7749, {_}: inverse (multiply (multiply (inverse ?6223) ?6224) (inverse (multiply (inverse (inverse ?6225)) ?6224))) =>= multiply ?6225 ?6223 [6225, 6224, 6223] by Demod 7718 with 7083 at 1,1,1,2
% 5.58/1.71 Id : 7207, {_}: multiply ?39810 (inverse (multiply (inverse (inverse (inverse ?39811))) ?39811)) =>= inverse (inverse ?39810) [39811, 39810] by Super 6844 with 7083 at 2,1,2,2
% 5.58/1.71 Id : 7899, {_}: inverse (inverse (inverse (multiply (inverse ?41635) ?41636))) =>= multiply (inverse ?41636) ?41635 [41636, 41635] by Super 7749 with 7207 at 1,2
% 5.58/1.71 Id : 8194, {_}: inverse (multiply (inverse ?42276) ?42277) =>= multiply (inverse ?42277) ?42276 [42277, 42276] by Super 7083 with 7899 at 1,2
% 5.58/1.71 Id : 8364, {_}: multiply ?26 (inverse (multiply ?27 (inverse (multiply ?28 (inverse (multiply (multiply (multiply (inverse (multiply (inverse (inverse (multiply (inverse ?28) (multiply (inverse ?26) ?30)))) ?27)) ?29) ?31) (inverse (multiply ?29 ?31)))))))) =>= ?30 [31, 29, 30, 28, 27, 26] by Demod 6 with 8194 at 1,1,1,2,1,2,1,2,2
% 5.58/1.71 Id : 8365, {_}: multiply ?26 (inverse (multiply ?27 (inverse (multiply ?28 (inverse (multiply (multiply (multiply (multiply (inverse ?27) (inverse (multiply (inverse ?28) (multiply (inverse ?26) ?30)))) ?29) ?31) (inverse (multiply ?29 ?31)))))))) =>= ?30 [31, 29, 30, 28, 27, 26] by Demod 8364 with 8194 at 1,1,1,1,2,1,2,1,2,2
% 5.58/1.71 Id : 8366, {_}: multiply ?26 (inverse (multiply ?27 (inverse (multiply ?28 (inverse (multiply (multiply (multiply (multiply (inverse ?27) (multiply (inverse (multiply (inverse ?26) ?30)) ?28)) ?29) ?31) (inverse (multiply ?29 ?31)))))))) =>= ?30 [31, 29, 30, 28, 27, 26] by Demod 8365 with 8194 at 2,1,1,1,1,2,1,2,1,2,2
% 5.58/1.71 Id : 8367, {_}: multiply ?26 (inverse (multiply ?27 (inverse (multiply ?28 (inverse (multiply (multiply (multiply (multiply (inverse ?27) (multiply (multiply (inverse ?30) ?26) ?28)) ?29) ?31) (inverse (multiply ?29 ?31)))))))) =>= ?30 [31, 29, 30, 28, 27, 26] by Demod 8366 with 8194 at 1,2,1,1,1,1,2,1,2,1,2,2
% 5.58/1.71 Id : 7729, {_}: inverse (inverse (inverse (multiply (multiply (inverse (multiply (inverse ?2902) (multiply ?2902 ?2903))) ?2904) (inverse (multiply ?2905 ?2904))))) =>= multiply ?2905 ?2903 [2905, 2904, 2903, 2902] by Demod 402 with 7304 at 2
% 5.58/1.71 Id : 7730, {_}: inverse (inverse (inverse (multiply (multiply (inverse (inverse (inverse ?2903))) ?2904) (inverse (multiply ?2905 ?2904))))) =>= multiply ?2905 ?2903 [2905, 2904, 2903] by Demod 7729 with 7304 at 1,1,1,1,1,1,2
% 5.58/1.71 Id : 7910, {_}: inverse (inverse (inverse (inverse (inverse (multiply (inverse (inverse (inverse ?41680))) ?41681))))) =>= multiply (inverse (inverse (inverse ?41681))) ?41680 [41681, 41680] by Super 7730 with 7207 at 1,1,1,2
% 5.58/1.71 Id : 8095, {_}: inverse (multiply (inverse (inverse (inverse ?41680))) ?41681) =>= multiply (inverse (inverse (inverse ?41681))) ?41680 [41681, 41680] by Demod 7910 with 7083 at 2
% 5.58/1.71 Id : 8554, {_}: multiply (inverse ?41681) (inverse (inverse ?41680)) =?= multiply (inverse (inverse (inverse ?41681))) ?41680 [41680, 41681] by Demod 8095 with 8194 at 2
% 5.58/1.71 Id : 8646, {_}: multiply (inverse ?43671) (inverse (inverse (multiply (inverse (inverse ?43671)) ?43672))) =>= inverse (inverse ?43672) [43672, 43671] by Super 7304 with 8554 at 2
% 5.58/1.71 Id : 8772, {_}: multiply (inverse ?43671) (inverse (multiply (inverse ?43672) (inverse ?43671))) =>= inverse (inverse ?43672) [43672, 43671] by Demod 8646 with 8194 at 1,2,2
% 5.58/1.71 Id : 8773, {_}: multiply (inverse ?43671) (multiply (inverse (inverse ?43671)) ?43672) =>= inverse (inverse ?43672) [43672, 43671] by Demod 8772 with 8194 at 2,2
% 5.58/1.71 Id : 7732, {_}: multiply ?2785 (inverse (multiply (inverse (inverse ?2787)) (inverse (multiply ?2788 (multiply (multiply (inverse ?2788) (multiply (inverse ?2785) ?2789)) ?2787))))) =>= ?2789 [2789, 2788, 2787, 2785] by Demod 386 with 7304 at 1,1,2,2
% 5.58/1.71 Id : 8354, {_}: multiply ?2785 (multiply (inverse (inverse (multiply ?2788 (multiply (multiply (inverse ?2788) (multiply (inverse ?2785) ?2789)) ?2787)))) (inverse ?2787)) =>= ?2789 [2787, 2789, 2788, 2785] by Demod 7732 with 8194 at 2,2
% 5.58/1.71 Id : 404, {_}: multiply (inverse ?2913) (multiply ?2913 (inverse (multiply (multiply (inverse ?2914) (multiply ?2914 ?2915)) (inverse (multiply ?2916 (multiply (multiply (inverse ?2916) ?2917) ?2915)))))) =>= ?2917 [2917, 2916, 2915, 2914, 2913] by Super 63 with 301 at 1,1,2,2,2
% 5.58/1.71 Id : 7715, {_}: inverse (inverse (inverse (multiply (multiply (inverse ?2914) (multiply ?2914 ?2915)) (inverse (multiply ?2916 (multiply (multiply (inverse ?2916) ?2917) ?2915)))))) =>= ?2917 [2917, 2916, 2915, 2914] by Demod 404 with 7304 at 2
% 5.58/1.71 Id : 7716, {_}: inverse (inverse (inverse (multiply (inverse (inverse ?2915)) (inverse (multiply ?2916 (multiply (multiply (inverse ?2916) ?2917) ?2915)))))) =>= ?2917 [2917, 2916, 2915] by Demod 7715 with 7304 at 1,1,1,1,2
% 5.58/1.71 Id : 8164, {_}: multiply (inverse (inverse (multiply ?2916 (multiply (multiply (inverse ?2916) ?2917) ?2915)))) (inverse ?2915) =>= ?2917 [2915, 2917, 2916] by Demod 7716 with 7899 at 2
% 5.58/1.71 Id : 8372, {_}: multiply ?2785 (multiply (inverse ?2785) ?2789) =>= ?2789 [2789, 2785] by Demod 8354 with 8164 at 2,2
% 5.58/1.71 Id : 8774, {_}: ?43672 =<= inverse (inverse ?43672) [43672] by Demod 8773 with 8372 at 2
% 5.58/1.71 Id : 9179, {_}: inverse (multiply ?44503 ?44504) =<= multiply (inverse ?44504) (inverse ?44503) [44504, 44503] by Super 8194 with 8774 at 1,1,2
% 5.58/1.72 Id : 9196, {_}: inverse (multiply ?44575 (inverse ?44576)) =>= multiply ?44576 (inverse ?44575) [44576, 44575] by Super 9179 with 8774 at 1,3
% 5.58/1.72 Id : 9300, {_}: multiply ?26 (multiply (multiply ?28 (inverse (multiply (multiply (multiply (multiply (inverse ?27) (multiply (multiply (inverse ?30) ?26) ?28)) ?29) ?31) (inverse (multiply ?29 ?31))))) (inverse ?27)) =>= ?30 [31, 29, 30, 27, 28, 26] by Demod 8367 with 9196 at 2,2
% 5.58/1.72 Id : 9301, {_}: multiply ?26 (multiply (multiply ?28 (multiply (multiply ?29 ?31) (inverse (multiply (multiply (multiply (inverse ?27) (multiply (multiply (inverse ?30) ?26) ?28)) ?29) ?31)))) (inverse ?27)) =>= ?30 [30, 27, 31, 29, 28, 26] by Demod 9300 with 9196 at 2,1,2,2
% 5.58/1.72 Id : 9069, {_}: inverse (multiply ?44136 ?44137) =<= multiply (inverse ?44137) (inverse ?44136) [44137, 44136] by Super 8194 with 8774 at 1,1,2
% 5.58/1.72 Id : 9428, {_}: multiply ?45019 (inverse (multiply ?45020 ?45019)) =>= inverse ?45020 [45020, 45019] by Super 8372 with 9069 at 2,2
% 5.58/1.72 Id : 9161, {_}: multiply ?44439 (inverse (multiply ?44440 ?44439)) =>= inverse ?44440 [44440, 44439] by Super 8372 with 9069 at 2,2
% 5.58/1.72 Id : 9437, {_}: multiply (inverse (multiply ?45049 ?45050)) (inverse (inverse ?45049)) =>= inverse ?45050 [45050, 45049] by Super 9428 with 9161 at 1,2,2
% 5.58/1.72 Id : 9509, {_}: inverse (multiply (inverse ?45049) (multiply ?45049 ?45050)) =>= inverse ?45050 [45050, 45049] by Demod 9437 with 9069 at 2
% 5.58/1.72 Id : 9743, {_}: multiply (inverse (multiply ?45603 ?45604)) ?45603 =>= inverse ?45604 [45604, 45603] by Demod 9509 with 8194 at 2
% 5.58/1.72 Id : 7723, {_}: inverse (inverse (inverse (multiply (multiply (inverse (multiply (inverse ?570) ?571)) ?572) (inverse (multiply ?570 ?572))))) =>= ?571 [572, 571, 570] by Demod 63 with 7304 at 2
% 5.58/1.72 Id : 8353, {_}: inverse (inverse (inverse (multiply (multiply (multiply (inverse ?571) ?570) ?572) (inverse (multiply ?570 ?572))))) =>= ?571 [572, 570, 571] by Demod 7723 with 8194 at 1,1,1,1,1,2
% 5.58/1.72 Id : 9054, {_}: inverse (multiply (multiply (multiply (inverse ?571) ?570) ?572) (inverse (multiply ?570 ?572))) =>= ?571 [572, 570, 571] by Demod 8353 with 8774 at 2
% 5.58/1.72 Id : 9304, {_}: multiply (multiply ?570 ?572) (inverse (multiply (multiply (inverse ?571) ?570) ?572)) =>= ?571 [571, 572, 570] by Demod 9054 with 9196 at 2
% 5.58/1.72 Id : 9756, {_}: multiply (inverse ?45655) (multiply ?45656 ?45657) =<= inverse (inverse (multiply (multiply (inverse ?45655) ?45656) ?45657)) [45657, 45656, 45655] by Super 9743 with 9304 at 1,1,2
% 5.58/1.72 Id : 9819, {_}: multiply (inverse ?45655) (multiply ?45656 ?45657) =<= multiply (multiply (inverse ?45655) ?45656) ?45657 [45657, 45656, 45655] by Demod 9756 with 8774 at 3
% 5.58/1.72 Id : 10202, {_}: multiply ?26 (multiply (multiply ?28 (multiply (multiply ?29 ?31) (inverse (multiply (multiply (inverse ?27) (multiply (multiply (multiply (inverse ?30) ?26) ?28) ?29)) ?31)))) (inverse ?27)) =>= ?30 [30, 27, 31, 29, 28, 26] by Demod 9301 with 9819 at 1,1,2,2,1,2,2
% 5.58/1.72 Id : 10203, {_}: multiply ?26 (multiply (multiply ?28 (multiply (multiply ?29 ?31) (inverse (multiply (inverse ?27) (multiply (multiply (multiply (multiply (inverse ?30) ?26) ?28) ?29) ?31))))) (inverse ?27)) =>= ?30 [30, 27, 31, 29, 28, 26] by Demod 10202 with 9819 at 1,2,2,1,2,2
% 5.58/1.72 Id : 10204, {_}: multiply ?26 (multiply (multiply ?28 (multiply (multiply ?29 ?31) (inverse (multiply (inverse ?27) (multiply (multiply (multiply (inverse ?30) (multiply ?26 ?28)) ?29) ?31))))) (inverse ?27)) =>= ?30 [30, 27, 31, 29, 28, 26] by Demod 10203 with 9819 at 1,1,2,1,2,2,1,2,2
% 5.58/1.72 Id : 10205, {_}: multiply ?26 (multiply (multiply ?28 (multiply (multiply ?29 ?31) (inverse (multiply (inverse ?27) (multiply (multiply (inverse ?30) (multiply (multiply ?26 ?28) ?29)) ?31))))) (inverse ?27)) =>= ?30 [30, 27, 31, 29, 28, 26] by Demod 10204 with 9819 at 1,2,1,2,2,1,2,2
% 5.58/1.72 Id : 10206, {_}: multiply ?26 (multiply (multiply ?28 (multiply (multiply ?29 ?31) (inverse (multiply (inverse ?27) (multiply (inverse ?30) (multiply (multiply (multiply ?26 ?28) ?29) ?31)))))) (inverse ?27)) =>= ?30 [30, 27, 31, 29, 28, 26] by Demod 10205 with 9819 at 2,1,2,2,1,2,2
% 5.58/1.72 Id : 10223, {_}: multiply ?26 (multiply (multiply ?28 (multiply (multiply ?29 ?31) (multiply (inverse (multiply (inverse ?30) (multiply (multiply (multiply ?26 ?28) ?29) ?31))) ?27))) (inverse ?27)) =>= ?30 [27, 30, 31, 29, 28, 26] by Demod 10206 with 8194 at 2,2,1,2,2
% 5.58/1.72 Id : 10224, {_}: multiply ?26 (multiply (multiply ?28 (multiply (multiply ?29 ?31) (multiply (multiply (inverse (multiply (multiply (multiply ?26 ?28) ?29) ?31)) ?30) ?27))) (inverse ?27)) =>= ?30 [27, 30, 31, 29, 28, 26] by Demod 10223 with 8194 at 1,2,2,1,2,2
% 5.58/1.72 Id : 10225, {_}: multiply ?26 (multiply (multiply ?28 (multiply (multiply ?29 ?31) (multiply (inverse (multiply (multiply (multiply ?26 ?28) ?29) ?31)) (multiply ?30 ?27)))) (inverse ?27)) =>= ?30 [27, 30, 31, 29, 28, 26] by Demod 10224 with 9819 at 2,2,1,2,2
% 5.58/1.72 Id : 2726, {_}: multiply (inverse (inverse (inverse ?18151))) ?18151 =?= inverse (multiply (inverse (multiply (inverse ?18152) (multiply ?18152 ?18153))) ?18153) [18153, 18152, 18151] by Super 2410 with 2558 at 2
% 5.58/1.72 Id : 7736, {_}: multiply (inverse (inverse (inverse ?18151))) ?18151 =?= inverse (multiply (inverse (inverse (inverse ?18153))) ?18153) [18153, 18151] by Demod 2726 with 7304 at 1,1,1,3
% 5.58/1.72 Id : 8368, {_}: multiply (inverse (inverse (inverse ?18151))) ?18151 =?= multiply (inverse ?18153) (inverse (inverse ?18153)) [18153, 18151] by Demod 7736 with 8194 at 3
% 5.58/1.72 Id : 9052, {_}: multiply (inverse ?18151) ?18151 =?= multiply (inverse ?18153) (inverse (inverse ?18153)) [18153, 18151] by Demod 8368 with 8774 at 1,2
% 5.58/1.72 Id : 9053, {_}: multiply (inverse ?18151) ?18151 =?= multiply (inverse ?18153) ?18153 [18153, 18151] by Demod 9052 with 8774 at 2,3
% 5.58/1.72 Id : 9066, {_}: multiply (inverse ?44126) ?44126 =?= multiply ?44127 (inverse ?44127) [44127, 44126] by Super 9053 with 8774 at 1,3
% 5.58/1.72 Id : 11435, {_}: multiply ?48234 (multiply (multiply ?48235 (multiply (multiply ?48236 ?48237) (multiply ?48238 (inverse ?48238)))) (inverse ?48237)) =>= multiply (multiply ?48234 ?48235) ?48236 [48238, 48237, 48236, 48235, 48234] by Super 10225 with 9066 at 2,2,1,2,2
% 5.58/1.72 Id : 7215, {_}: multiply ?39837 (multiply ?39838 (inverse ?39838)) =>= inverse (inverse ?39837) [39838, 39837] by Super 6714 with 7083 at 1,2
% 5.58/1.72 Id : 9042, {_}: multiply ?39837 (multiply ?39838 (inverse ?39838)) =>= ?39837 [39838, 39837] by Demod 7215 with 8774 at 3
% 5.58/1.72 Id : 11665, {_}: multiply ?48234 (multiply (multiply ?48235 (multiply ?48236 ?48237)) (inverse ?48237)) =>= multiply (multiply ?48234 ?48235) ?48236 [48237, 48236, 48235, 48234] by Demod 11435 with 9042 at 2,1,2,2
% 5.58/1.72 Id : 9030, {_}: inverse (multiply (multiply (inverse (inverse (inverse ?2903))) ?2904) (inverse (multiply ?2905 ?2904))) =>= multiply ?2905 ?2903 [2905, 2904, 2903] by Demod 7730 with 8774 at 2
% 5.58/1.72 Id : 9031, {_}: inverse (multiply (multiply (inverse ?2903) ?2904) (inverse (multiply ?2905 ?2904))) =>= multiply ?2905 ?2903 [2905, 2904, 2903] by Demod 9030 with 8774 at 1,1,1,2
% 5.58/1.72 Id : 9306, {_}: multiply (multiply ?2905 ?2904) (inverse (multiply (inverse ?2903) ?2904)) =>= multiply ?2905 ?2903 [2903, 2904, 2905] by Demod 9031 with 9196 at 2
% 5.58/1.72 Id : 9307, {_}: multiply (multiply ?2905 ?2904) (multiply (inverse ?2904) ?2903) =>= multiply ?2905 ?2903 [2903, 2904, 2905] by Demod 9306 with 8194 at 2,2
% 5.58/1.72 Id : 9510, {_}: multiply (inverse (multiply ?45049 ?45050)) ?45049 =>= inverse ?45050 [45050, 45049] by Demod 9509 with 8194 at 2
% 5.58/1.72 Id : 9734, {_}: multiply (multiply ?45558 (multiply ?45559 ?45560)) (inverse ?45560) =>= multiply ?45558 ?45559 [45560, 45559, 45558] by Super 9307 with 9510 at 2,2
% 5.58/1.72 Id : 20647, {_}: multiply ?48234 (multiply ?48235 ?48236) =?= multiply (multiply ?48234 ?48235) ?48236 [48236, 48235, 48234] by Demod 11665 with 9734 at 2,2
% 5.58/1.72 Id : 21104, {_}: multiply a3 (multiply b3 c3) === multiply a3 (multiply b3 c3) [] by Demod 1 with 20647 at 2
% 5.58/1.72 Id : 1, {_}: multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3) [] by prove_these_axioms_3
% 5.58/1.72 % SZS output end CNFRefutation for theBenchmark.p
% 5.58/1.72 6138: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 1.379767 using nrkbo
%------------------------------------------------------------------------------