TSTP Solution File: BOO073-1 by Matita---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : BOO073-1 : 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 : Thu Jul 14 23:44:19 EDT 2022
% Result : Unsatisfiable 257.68s 64.73s
% Output : CNFRefutation 257.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : BOO073-1 : TPTP v8.1.0. Released v2.6.0.
% 0.00/0.09 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.08/0.28 % Computer : n020.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 600
% 0.08/0.28 % DateTime : Wed Jun 1 15:56:38 EDT 2022
% 0.13/0.28 % CPUTime :
% 0.13/0.28 452: Facts:
% 0.13/0.28 452: Id : 2, {_}:
% 0.13/0.28 inverse
% 0.13/0.28 (add (inverse (add (inverse (add ?2 ?3)) ?4))
% 0.13/0.28 (inverse
% 0.13/0.28 (add ?2 (inverse (add (inverse ?4) (inverse (add ?4 ?5)))))))
% 0.13/0.28 =>=
% 0.13/0.28 ?4
% 0.13/0.28 [5, 4, 3, 2] by dn1 ?2 ?3 ?4 ?5
% 0.13/0.28 452: Goal:
% 0.13/0.28 452: Id : 1, {_}: add (add a b) c =>= add a (add b c) [] by huntinton_2
% 257.68/64.73 Statistics :
% 257.68/64.73 Max weight : 37
% 257.68/64.73 Found proof, 64.450127s
% 257.68/64.73 % SZS status Unsatisfiable for theBenchmark.p
% 257.68/64.73 % SZS output start CNFRefutation for theBenchmark.p
% 257.68/64.73 Id : 3, {_}: inverse (add (inverse (add (inverse (add ?7 ?8)) ?9)) (inverse (add ?7 (inverse (add (inverse ?9) (inverse (add ?9 ?10))))))) =>= ?9 [10, 9, 8, 7] by dn1 ?7 ?8 ?9 ?10
% 257.68/64.73 Id : 2, {_}: inverse (add (inverse (add (inverse (add ?2 ?3)) ?4)) (inverse (add ?2 (inverse (add (inverse ?4) (inverse (add ?4 ?5))))))) =>= ?4 [5, 4, 3, 2] by dn1 ?2 ?3 ?4 ?5
% 257.68/64.73 Id : 15, {_}: inverse (add (inverse (add (inverse (add (inverse (add (inverse (add (inverse (inverse ?74)) ?75)) ?74)) ?76)) (inverse ?74))) ?74) =>= inverse ?74 [76, 75, 74] by Super 3 with 2 at 2,1,2
% 257.68/64.73 Id : 20, {_}: inverse (add (inverse (add ?104 (inverse ?104))) ?104) =>= inverse ?104 [104] by Super 15 with 2 at 1,1,1,1,2
% 257.68/64.73 Id : 34, {_}: inverse (add (inverse ?125) (inverse (add ?125 (inverse (add (inverse ?125) (inverse (add ?125 ?126))))))) =>= ?125 [126, 125] by Super 2 with 20 at 1,1,2
% 257.68/64.73 Id : 55, {_}: inverse (add (inverse (add (inverse (add ?177 ?178)) ?179)) (inverse (add ?177 ?179))) =>= ?179 [179, 178, 177] by Super 2 with 34 at 2,1,2,1,2
% 257.68/64.73 Id : 129, {_}: inverse (add (inverse (add (inverse (add ?380 ?381)) ?382)) (inverse (add ?380 ?382))) =>= ?382 [382, 381, 380] by Super 2 with 34 at 2,1,2,1,2
% 257.68/64.73 Id : 139, {_}: inverse (add (inverse (add ?423 ?424)) (inverse (add (inverse ?423) ?424))) =>= ?424 [424, 423] by Super 129 with 34 at 1,1,1,1,2
% 257.68/64.73 Id : 173, {_}: inverse (add ?519 (inverse (add ?520 (inverse (add (inverse ?520) ?519))))) =>= inverse (add (inverse ?520) ?519) [520, 519] by Super 55 with 139 at 1,1,2
% 257.68/64.73 Id : 339, {_}: inverse (add (inverse ?868) (inverse (add ?868 (inverse (add (inverse ?868) (inverse ?868)))))) =>= ?868 [868] by Super 34 with 173 at 2,1,2,1,2
% 257.68/64.73 Id : 388, {_}: inverse (add (inverse ?868) (inverse ?868)) =>= ?868 [868] by Demod 339 with 173 at 2
% 257.68/64.73 Id : 174, {_}: inverse (add (inverse (add ?522 ?523)) (inverse (add (inverse ?522) ?523))) =>= ?523 [523, 522] by Super 129 with 34 at 1,1,1,1,2
% 257.68/64.73 Id : 59, {_}: inverse (add (inverse ?193) (inverse (add ?193 (inverse (add (inverse ?193) (inverse (add ?193 ?194))))))) =>= ?193 [194, 193] by Super 2 with 20 at 1,1,2
% 257.68/64.73 Id : 68, {_}: inverse (add (inverse ?226) (inverse (add ?226 ?226))) =>= ?226 [226] by Super 59 with 34 at 2,1,2,1,2
% 257.68/64.73 Id : 187, {_}: inverse (add (inverse (add ?573 (inverse (add ?573 ?573)))) ?573) =>= inverse (add ?573 ?573) [573] by Super 174 with 68 at 2,1,2
% 257.68/64.73 Id : 207, {_}: inverse (add (inverse (add ?609 ?609)) (inverse (add ?609 ?609))) =>= ?609 [609] by Super 55 with 187 at 1,1,2
% 257.68/64.73 Id : 416, {_}: add ?609 ?609 =>= ?609 [609] by Demod 207 with 388 at 2
% 257.68/64.73 Id : 425, {_}: inverse (inverse ?868) =>= ?868 [868] by Demod 388 with 416 at 1,2
% 257.68/64.73 Id : 432, {_}: inverse (add (inverse (add (inverse ?1023) ?1024)) (inverse (add ?1023 ?1024))) =>= ?1024 [1024, 1023] by Super 139 with 425 at 1,1,2,1,2
% 257.68/64.73 Id : 1000, {_}: inverse (add ?1842 (inverse (add (inverse ?1843) (inverse (add ?1843 ?1842))))) =>= inverse (add ?1843 ?1842) [1843, 1842] by Super 55 with 432 at 1,1,2
% 257.68/64.73 Id : 2933, {_}: inverse (inverse (add ?4434 ?4435)) =<= add ?4435 (inverse (add (inverse ?4434) (inverse (add ?4434 ?4435)))) [4435, 4434] by Super 425 with 1000 at 1,2
% 257.68/64.73 Id : 3023, {_}: add ?4434 ?4435 =<= add ?4435 (inverse (add (inverse ?4434) (inverse (add ?4434 ?4435)))) [4435, 4434] by Demod 2933 with 425 at 2
% 257.68/64.73 Id : 5778, {_}: inverse (add ?7760 (inverse (add (inverse (add ?7761 ?7762)) (inverse (add ?7761 ?7760))))) =>= inverse (add ?7761 ?7760) [7762, 7761, 7760] by Super 129 with 55 at 1,1,2
% 257.68/64.73 Id : 439, {_}: inverse (inverse ?1046) =>= ?1046 [1046] by Demod 388 with 416 at 1,2
% 257.68/64.73 Id : 445, {_}: inverse (inverse (add (inverse ?1065) ?1066)) =<= add ?1066 (inverse (add ?1065 (inverse (add (inverse ?1065) ?1066)))) [1066, 1065] by Super 439 with 173 at 1,2
% 257.68/64.73 Id : 457, {_}: add (inverse ?1065) ?1066 =<= add ?1066 (inverse (add ?1065 (inverse (add (inverse ?1065) ?1066)))) [1066, 1065] by Demod 445 with 425 at 2
% 257.68/64.74 Id : 5837, {_}: inverse (add (inverse (add (inverse ?7995) (inverse (add ?7995 ?7996)))) (inverse (add (inverse ?7995) (inverse (add ?7995 ?7996))))) =>= inverse (add ?7995 (inverse (add (inverse ?7995) (inverse (add ?7995 ?7996))))) [7996, 7995] by Super 5778 with 457 at 1,2,1,2
% 257.68/64.74 Id : 5990, {_}: inverse (inverse (add (inverse ?7995) (inverse (add ?7995 ?7996)))) =<= inverse (add ?7995 (inverse (add (inverse ?7995) (inverse (add ?7995 ?7996))))) [7996, 7995] by Demod 5837 with 416 at 1,2
% 257.68/64.74 Id : 5991, {_}: add (inverse ?7995) (inverse (add ?7995 ?7996)) =<= inverse (add ?7995 (inverse (add (inverse ?7995) (inverse (add ?7995 ?7996))))) [7996, 7995] by Demod 5990 with 425 at 2
% 257.68/64.74 Id : 6004, {_}: inverse (add (inverse ?125) (add (inverse ?125) (inverse (add ?125 ?126)))) =>= ?125 [126, 125] by Demod 34 with 5991 at 2,1,2
% 257.68/64.74 Id : 6, {_}: inverse (add (inverse (add (inverse (add (inverse (add (inverse (add (inverse (inverse ?26)) ?27)) ?26)) ?28)) (inverse ?26))) ?26) =>= inverse ?26 [28, 27, 26] by Super 3 with 2 at 2,1,2
% 257.68/64.75 Id : 426, {_}: inverse (add (inverse (add (inverse (add (inverse (add (inverse (add ?26 ?27)) ?26)) ?28)) (inverse ?26))) ?26) =>= inverse ?26 [28, 27, 26] by Demod 6 with 425 at 1,1,1,1,1,1,1,1,1,1,2
% 257.68/64.75 Id : 249, {_}: inverse (add ?713 (inverse (add ?713 (inverse (add ?713 ?713))))) =>= inverse (add ?713 ?713) [713] by Super 55 with 207 at 1,1,2
% 257.68/64.76 Id : 417, {_}: inverse (add ?713 (inverse (add ?713 (inverse ?713)))) =>= inverse (add ?713 ?713) [713] by Demod 249 with 416 at 1,2,1,2,1,2
% 257.68/64.76 Id : 418, {_}: inverse (add ?713 (inverse (add ?713 (inverse ?713)))) =>= inverse ?713 [713] by Demod 417 with 416 at 1,3
% 257.68/64.76 Id : 446, {_}: inverse (inverse ?1068) =<= add ?1068 (inverse (add ?1068 (inverse ?1068))) [1068] by Super 439 with 418 at 1,2
% 257.68/64.76 Id : 458, {_}: ?1068 =<= add ?1068 (inverse (add ?1068 (inverse ?1068))) [1068] by Demod 446 with 425 at 2
% 257.68/64.76 Id : 507, {_}: inverse (add (inverse (add (inverse ?1172) (inverse (inverse ?1172)))) (inverse (add ?1172 (inverse (inverse ?1172))))) =>= inverse (add (inverse ?1172) (inverse (add (inverse ?1172) (inverse (inverse ?1172))))) [1172] by Super 173 with 458 at 1,2,1,2,1,2
% 257.68/64.76 Id : 520, {_}: inverse (add (inverse (add (inverse ?1172) ?1172)) (inverse (add ?1172 (inverse (inverse ?1172))))) =>= inverse (add (inverse ?1172) (inverse (add (inverse ?1172) (inverse (inverse ?1172))))) [1172] by Demod 507 with 425 at 2,1,1,1,2
% 257.68/64.76 Id : 521, {_}: inverse (add (inverse (add (inverse ?1172) ?1172)) (inverse (add ?1172 ?1172))) =?= inverse (add (inverse ?1172) (inverse (add (inverse ?1172) (inverse (inverse ?1172))))) [1172] by Demod 520 with 425 at 2,1,2,1,2
% 257.68/64.76 Id : 522, {_}: inverse (add (inverse (add (inverse ?1172) ?1172)) (inverse (add ?1172 ?1172))) =>= inverse (inverse ?1172) [1172] by Demod 521 with 458 at 1,3
% 257.68/64.76 Id : 523, {_}: inverse (add (inverse (add (inverse ?1172) ?1172)) (inverse ?1172)) =>= inverse (inverse ?1172) [1172] by Demod 522 with 416 at 1,2,1,2
% 257.68/64.76 Id : 524, {_}: inverse (add (inverse (add (inverse ?1172) ?1172)) (inverse ?1172)) =>= ?1172 [1172] by Demod 523 with 425 at 3
% 257.68/64.76 Id : 562, {_}: inverse ?1268 =<= add (inverse (add (inverse ?1268) ?1268)) (inverse ?1268) [1268] by Super 425 with 524 at 1,2
% 257.68/64.76 Id : 631, {_}: inverse (add (inverse (add (inverse (add (inverse (inverse ?1362)) ?1363)) (inverse (inverse ?1362)))) (inverse ?1362)) =>= inverse (inverse ?1362) [1363, 1362] by Super 426 with 562 at 1,1,1,1,1,1,1,2
% 257.68/64.76 Id : 651, {_}: inverse (add (inverse (add (inverse (add ?1362 ?1363)) (inverse (inverse ?1362)))) (inverse ?1362)) =>= inverse (inverse ?1362) [1363, 1362] by Demod 631 with 425 at 1,1,1,1,1,1,2
% 257.68/64.76 Id : 652, {_}: inverse (add (inverse (add (inverse (add ?1362 ?1363)) ?1362)) (inverse ?1362)) =>= inverse (inverse ?1362) [1363, 1362] by Demod 651 with 425 at 2,1,1,1,2
% 257.68/64.76 Id : 1548, {_}: inverse (add (inverse (add (inverse (add ?2603 ?2604)) ?2603)) (inverse ?2603)) =>= ?2603 [2604, 2603] by Demod 652 with 425 at 3
% 257.68/64.76 Id : 1577, {_}: inverse (add ?2689 (inverse (inverse (add ?2690 ?2689)))) =>= inverse (add ?2690 ?2689) [2690, 2689] by Super 1548 with 55 at 1,1,2
% 257.68/64.77 Id : 1652, {_}: inverse (add ?2689 (add ?2690 ?2689)) =>= inverse (add ?2690 ?2689) [2690, 2689] by Demod 1577 with 425 at 2,1,2
% 257.68/64.77 Id : 1666, {_}: inverse (inverse (add ?2734 ?2735)) =<= add ?2735 (add ?2734 ?2735) [2735, 2734] by Super 425 with 1652 at 1,2
% 257.68/64.77 Id : 1717, {_}: add ?2734 ?2735 =<= add ?2735 (add ?2734 ?2735) [2735, 2734] by Demod 1666 with 425 at 2
% 257.68/64.77 Id : 1692, {_}: inverse (add ?2833 (add ?2834 ?2833)) =>= inverse (add ?2834 ?2833) [2834, 2833] by Demod 1577 with 425 at 2,1,2
% 257.68/64.77 Id : 1009, {_}: inverse ?1880 =<= add (inverse (add (inverse ?1881) ?1880)) (inverse (add ?1881 ?1880)) [1881, 1880] by Super 425 with 432 at 1,2
% 257.68/64.77 Id : 1701, {_}: inverse (add (inverse (add ?2854 ?2855)) (inverse ?2855)) =<= inverse (add (inverse (add (inverse ?2854) ?2855)) (inverse (add ?2854 ?2855))) [2855, 2854] by Super 1692 with 1009 at 2,1,2
% 257.68/64.77 Id : 1750, {_}: inverse (add (inverse (add ?2854 ?2855)) (inverse ?2855)) =>= inverse (inverse ?2855) [2855, 2854] by Demod 1701 with 1009 at 1,3
% 257.68/64.77 Id : 1751, {_}: inverse (add (inverse (add ?2854 ?2855)) (inverse ?2855)) =>= ?2855 [2855, 2854] by Demod 1750 with 425 at 3
% 257.68/64.77 Id : 1834, {_}: inverse ?3002 =<= add (inverse (add ?3003 ?3002)) (inverse ?3002) [3003, 3002] by Super 425 with 1751 at 1,2
% 257.68/64.77 Id : 1988, {_}: inverse (add (inverse (inverse ?3213)) (inverse (add ?3214 (inverse ?3213)))) =>= inverse ?3213 [3214, 3213] by Super 55 with 1834 at 1,1,1,2
% 257.68/64.77 Id : 2037, {_}: inverse (add ?3213 (inverse (add ?3214 (inverse ?3213)))) =>= inverse ?3213 [3214, 3213] by Demod 1988 with 425 at 1,1,2
% 257.68/64.77 Id : 2117, {_}: inverse (inverse ?3342) =<= add ?3342 (inverse (add ?3343 (inverse ?3342))) [3343, 3342] by Super 425 with 2037 at 1,2
% 257.68/64.77 Id : 2219, {_}: ?3342 =<= add ?3342 (inverse (add ?3343 (inverse ?3342))) [3343, 3342] by Demod 2117 with 425 at 2
% 257.68/64.77 Id : 2573, {_}: add ?3976 (inverse (add ?3977 (inverse ?3976))) =?= add (inverse (add ?3977 (inverse ?3976))) ?3976 [3977, 3976] by Super 1717 with 2219 at 2,3
% 257.68/64.77 Id : 2685, {_}: ?4113 =<= add (inverse (add ?4114 (inverse ?4113))) ?4113 [4114, 4113] by Demod 2573 with 2219 at 2
% 257.68/64.77 Id : 5194, {_}: add ?7112 (inverse (add (inverse ?7113) (inverse (add ?7113 ?7114)))) =<= add ?7113 (add ?7112 (inverse (add (inverse ?7113) (inverse (add ?7113 ?7114))))) [7114, 7113, 7112] by Super 2685 with 2 at 1,3
% 257.68/64.77 Id : 2139, {_}: add (inverse ?3423) (inverse (add ?3424 (inverse (inverse ?3423)))) =<= add (inverse (add ?3424 (inverse (inverse ?3423)))) (inverse (add ?3423 (inverse (inverse ?3423)))) [3424, 3423] by Super 457 with 2037 at 2,1,2,3
% 257.68/64.77 Id : 2185, {_}: add (inverse ?3423) (inverse (add ?3424 ?3423)) =<= add (inverse (add ?3424 (inverse (inverse ?3423)))) (inverse (add ?3423 (inverse (inverse ?3423)))) [3424, 3423] by Demod 2139 with 425 at 2,1,2,2
% 257.68/64.77 Id : 2186, {_}: add (inverse ?3423) (inverse (add ?3424 ?3423)) =<= add (inverse (add ?3424 ?3423)) (inverse (add ?3423 (inverse (inverse ?3423)))) [3424, 3423] by Demod 2185 with 425 at 2,1,1,3
% 257.68/64.77 Id : 2187, {_}: add (inverse ?3423) (inverse (add ?3424 ?3423)) =<= add (inverse (add ?3424 ?3423)) (inverse (add ?3423 ?3423)) [3424, 3423] by Demod 2186 with 425 at 2,1,2,3
% 257.68/64.77 Id : 2188, {_}: add (inverse ?3423) (inverse (add ?3424 ?3423)) =?= add (inverse (add ?3424 ?3423)) (inverse ?3423) [3424, 3423] by Demod 2187 with 416 at 1,2,3
% 257.68/64.77 Id : 2189, {_}: add (inverse ?3423) (inverse (add ?3424 ?3423)) =>= inverse ?3423 [3424, 3423] by Demod 2188 with 1834 at 3
% 257.68/64.77 Id : 5230, {_}: add (inverse (inverse (add ?7260 ?7261))) (inverse (add (inverse ?7260) (inverse (add ?7260 ?7261)))) =>= add ?7260 (inverse (inverse (add ?7260 ?7261))) [7261, 7260] by Super 5194 with 2189 at 2,3
% 257.68/64.77 Id : 5493, {_}: inverse (inverse (add ?7260 ?7261)) =<= add ?7260 (inverse (inverse (add ?7260 ?7261))) [7261, 7260] by Demod 5230 with 2189 at 2
% 257.68/64.77 Id : 5494, {_}: inverse (inverse (add ?7260 ?7261)) =<= add ?7260 (add ?7260 ?7261) [7261, 7260] by Demod 5493 with 425 at 2,3
% 257.68/64.77 Id : 5495, {_}: add ?7260 ?7261 =<= add ?7260 (add ?7260 ?7261) [7261, 7260] by Demod 5494 with 425 at 2
% 257.68/64.77 Id : 6005, {_}: inverse (add (inverse ?125) (inverse (add ?125 ?126))) =>= ?125 [126, 125] by Demod 6004 with 5495 at 1,2
% 257.68/64.77 Id : 6007, {_}: add ?4434 ?4435 =?= add ?4435 ?4434 [4435, 4434] by Demod 3023 with 6005 at 2,3
% 257.68/64.77 Id : 2604, {_}: ?3976 =<= add (inverse (add ?3977 (inverse ?3976))) ?3976 [3977, 3976] by Demod 2573 with 2219 at 2
% 257.68/64.77 Id : 6011, {_}: add (inverse ?7995) (inverse (add ?7995 ?7996)) =>= inverse (add ?7995 ?7995) [7996, 7995] by Demod 5991 with 6005 at 2,1,3
% 257.68/64.77 Id : 6012, {_}: add (inverse ?7995) (inverse (add ?7995 ?7996)) =>= inverse ?7995 [7996, 7995] by Demod 6011 with 416 at 1,3
% 257.68/64.77 Id : 6034, {_}: add (inverse (inverse (add ?8058 ?8059))) (inverse (inverse ?8058)) =>= inverse (inverse (add ?8058 ?8059)) [8059, 8058] by Super 2189 with 6012 at 1,2,2
% 257.68/64.77 Id : 6159, {_}: add (add ?8058 ?8059) (inverse (inverse ?8058)) =>= inverse (inverse (add ?8058 ?8059)) [8059, 8058] by Demod 6034 with 425 at 1,2
% 257.68/64.77 Id : 6160, {_}: add (add ?8058 ?8059) ?8058 =>= inverse (inverse (add ?8058 ?8059)) [8059, 8058] by Demod 6159 with 425 at 2,2
% 257.68/64.77 Id : 6161, {_}: add (add ?8058 ?8059) ?8058 =>= add ?8058 ?8059 [8059, 8058] by Demod 6160 with 425 at 3
% 257.68/64.77 Id : 6272, {_}: ?8294 =<= add (inverse (add (inverse ?8294) ?8295)) ?8294 [8295, 8294] by Super 2604 with 6161 at 1,1,3
% 257.68/64.77 Id : 146, {_}: inverse (add ?449 (inverse (add (inverse (add ?450 ?451)) (inverse (add ?450 ?449))))) =>= inverse (add ?450 ?449) [451, 450, 449] by Super 129 with 55 at 1,1,2
% 257.68/64.77 Id : 6262, {_}: ?8263 =<= add ?8263 (inverse (add (inverse ?8263) ?8264)) [8264, 8263] by Super 2219 with 6161 at 1,2,3
% 257.68/64.77 Id : 6660, {_}: inverse (add ?8653 (inverse (add (inverse ?8654) (inverse (add ?8654 ?8653))))) =>= inverse (add ?8654 ?8653) [8654, 8653] by Super 146 with 6262 at 1,1,1,2,1,2
% 257.68/64.77 Id : 6788, {_}: inverse (add ?8653 (inverse (inverse ?8654))) =>= inverse (add ?8654 ?8653) [8654, 8653] by Demod 6660 with 6012 at 1,2,1,2
% 257.68/64.77 Id : 6789, {_}: inverse (add ?8653 ?8654) =?= inverse (add ?8654 ?8653) [8654, 8653] by Demod 6788 with 425 at 2,1,2
% 257.68/64.77 Id : 7097, {_}: add ?9285 ?9286 =<= add (inverse (add ?9287 (inverse (add ?9286 ?9285)))) (add ?9285 ?9286) [9287, 9286, 9285] by Super 2604 with 6789 at 2,1,1,3
% 257.68/64.77 Id : 17515, {_}: add ?19393 (inverse (add ?19394 ?19395)) =<= add (inverse (add ?19395 ?19394)) (add ?19393 (inverse (add ?19394 ?19395))) [19395, 19394, 19393] by Super 6272 with 7097 at 1,1,3
% 257.68/64.77 Id : 11797, {_}: inverse (add ?13976 ?13977) =<= add (inverse (add ?13978 (add ?13976 ?13977))) (inverse (add ?13977 ?13976)) [13978, 13977, 13976] by Super 1834 with 6789 at 2,3
% 257.68/64.77 Id : 11878, {_}: inverse (add ?14302 ?14303) =<= add (inverse (add ?14302 ?14303)) (inverse (add ?14303 ?14302)) [14303, 14302] by Super 11797 with 416 at 1,1,3
% 257.68/64.77 Id : 17559, {_}: add ?19574 (inverse (add (inverse (add ?19575 ?19576)) (inverse (add ?19576 ?19575)))) =<= add (inverse (add (inverse (add ?19576 ?19575)) (inverse (add ?19575 ?19576)))) (add ?19574 (inverse (inverse (add ?19575 ?19576)))) [19576, 19575, 19574] by Super 17515 with 11878 at 1,2,2,3
% 257.68/64.77 Id : 17994, {_}: add ?19574 (inverse (inverse (add ?19575 ?19576))) =<= add (inverse (add (inverse (add ?19576 ?19575)) (inverse (add ?19575 ?19576)))) (add ?19574 (inverse (inverse (add ?19575 ?19576)))) [19576, 19575, 19574] by Demod 17559 with 11878 at 1,2,2
% 257.68/64.77 Id : 17995, {_}: add ?19574 (inverse (inverse (add ?19575 ?19576))) =<= add (inverse (inverse (add ?19576 ?19575))) (add ?19574 (inverse (inverse (add ?19575 ?19576)))) [19576, 19575, 19574] by Demod 17994 with 11878 at 1,1,3
% 257.68/64.77 Id : 17996, {_}: add ?19574 (inverse (inverse (add ?19575 ?19576))) =<= add (inverse (inverse (add ?19576 ?19575))) (add ?19574 (add ?19575 ?19576)) [19576, 19575, 19574] by Demod 17995 with 425 at 2,2,3
% 257.68/64.77 Id : 17997, {_}: add ?19574 (add ?19575 ?19576) =<= add (inverse (inverse (add ?19576 ?19575))) (add ?19574 (add ?19575 ?19576)) [19576, 19575, 19574] by Demod 17996 with 425 at 2,2
% 257.68/64.77 Id : 18346, {_}: add ?20233 (add ?20234 ?20235) =<= add (add ?20235 ?20234) (add ?20233 (add ?20234 ?20235)) [20235, 20234, 20233] by Demod 17997 with 425 at 1,3
% 257.68/64.77 Id : 19598, {_}: add ?21812 (add ?21813 ?21814) =<= add (add ?21814 ?21813) (add (add ?21813 ?21814) ?21812) [21814, 21813, 21812] by Super 18346 with 6007 at 2,3
% 257.68/64.77 Id : 19601, {_}: add ?21823 (add ?21824 ?21825) =<= add (add ?21825 ?21824) (add (add ?21825 ?21824) ?21823) [21825, 21824, 21823] by Super 19598 with 6007 at 1,2,3
% 257.68/64.77 Id : 19809, {_}: add ?21823 (add ?21824 ?21825) =?= add (add ?21825 ?21824) ?21823 [21825, 21824, 21823] by Demod 19601 with 5495 at 3
% 257.68/64.77 Id : 2424, {_}: inverse (inverse (add ?3826 ?3827)) =<= add (inverse (inverse ?3827)) (inverse (add ?3827 (inverse (add ?3826 ?3827)))) [3827, 3826] by Super 1009 with 2189 at 1,1,3
% 257.68/64.77 Id : 2458, {_}: add ?3826 ?3827 =<= add (inverse (inverse ?3827)) (inverse (add ?3827 (inverse (add ?3826 ?3827)))) [3827, 3826] by Demod 2424 with 425 at 2
% 257.68/64.77 Id : 2459, {_}: add ?3826 ?3827 =<= add ?3827 (inverse (add ?3827 (inverse (add ?3826 ?3827)))) [3827, 3826] by Demod 2458 with 425 at 1,3
% 257.68/64.77 Id : 5762, {_}: add ?7694 (inverse (add (inverse (add ?7695 ?7696)) (inverse (add ?7695 ?7694)))) =<= add (inverse (add (inverse (add ?7695 ?7696)) (inverse (add ?7695 ?7694)))) (inverse (add (inverse (add (inverse (add ?7695 ?7696)) (inverse (add ?7695 ?7694)))) (inverse (add ?7695 ?7694)))) [7696, 7695, 7694] by Super 2459 with 146 at 2,1,2,3
% 257.68/64.77 Id : 444, {_}: inverse ?1062 =<= add (inverse (add ?1063 ?1062)) (inverse (add (inverse ?1063) ?1062)) [1063, 1062] by Super 439 with 139 at 1,2
% 257.68/64.77 Id : 2147, {_}: inverse (add ?3447 (inverse (add ?3448 (inverse ?3447)))) =>= inverse ?3447 [3448, 3447] by Demod 1988 with 425 at 1,1,2
% 257.68/64.77 Id : 2168, {_}: inverse (add (add ?3511 ?3512) ?3512) =>= inverse (add ?3511 ?3512) [3512, 3511] by Super 2147 with 55 at 2,1,2
% 257.68/64.77 Id : 2274, {_}: inverse (inverse (add ?3607 ?3608)) =<= add (add ?3607 ?3608) ?3608 [3608, 3607] by Super 425 with 2168 at 1,2
% 257.68/64.77 Id : 2309, {_}: add ?3607 ?3608 =<= add (add ?3607 ?3608) ?3608 [3608, 3607] by Demod 2274 with 425 at 2
% 257.68/64.77 Id : 2358, {_}: inverse ?3715 =<= add (inverse (add ?3716 ?3715)) (inverse (add (inverse (add ?3716 ?3715)) ?3715)) [3716, 3715] by Super 444 with 2309 at 1,1,3
% 257.68/64.77 Id : 5869, {_}: add ?7694 (inverse (add (inverse (add ?7695 ?7696)) (inverse (add ?7695 ?7694)))) =>= inverse (inverse (add ?7695 ?7694)) [7696, 7695, 7694] by Demod 5762 with 2358 at 3
% 257.68/64.77 Id : 5870, {_}: add ?7694 (inverse (add (inverse (add ?7695 ?7696)) (inverse (add ?7695 ?7694)))) =>= add ?7695 ?7694 [7696, 7695, 7694] by Demod 5869 with 425 at 3
% 257.68/64.77 Id : 1116, {_}: inverse ?2054 =<= add (inverse (add (inverse ?2055) ?2054)) (inverse (add ?2055 ?2054)) [2055, 2054] by Super 425 with 432 at 1,2
% 257.68/64.77 Id : 1136, {_}: inverse (inverse (add (inverse ?2119) ?2120)) =<= add (inverse (inverse ?2120)) (inverse (add (add ?2119 ?2120) (inverse (add (inverse ?2119) ?2120)))) [2120, 2119] by Super 1116 with 444 at 1,1,3
% 257.68/64.77 Id : 1203, {_}: add (inverse ?2119) ?2120 =<= add (inverse (inverse ?2120)) (inverse (add (add ?2119 ?2120) (inverse (add (inverse ?2119) ?2120)))) [2120, 2119] by Demod 1136 with 425 at 2
% 257.68/64.77 Id : 1204, {_}: add (inverse ?2119) ?2120 =<= add ?2120 (inverse (add (add ?2119 ?2120) (inverse (add (inverse ?2119) ?2120)))) [2120, 2119] by Demod 1203 with 425 at 1,3
% 257.68/64.77 Id : 6020, {_}: add (inverse ?2119) ?2120 =<= add ?2120 (inverse (add (inverse (add (inverse ?2119) ?2120)) (add ?2119 ?2120))) [2120, 2119] by Demod 1204 with 6007 at 1,2,3
% 257.68/64.77 Id : 6058, {_}: add (inverse ?8129) (inverse (add ?8129 ?8130)) =<= add (inverse (add ?8129 ?8130)) (inverse (add (inverse (inverse ?8129)) (add ?8129 (inverse (add ?8129 ?8130))))) [8130, 8129] by Super 6020 with 6012 at 1,1,1,2,3
% 257.68/64.77 Id : 6101, {_}: inverse ?8129 =<= add (inverse (add ?8129 ?8130)) (inverse (add (inverse (inverse ?8129)) (add ?8129 (inverse (add ?8129 ?8130))))) [8130, 8129] by Demod 6058 with 6012 at 2
% 257.68/64.77 Id : 6102, {_}: inverse ?8129 =<= add (inverse (add ?8129 ?8130)) (inverse (add ?8129 (add ?8129 (inverse (add ?8129 ?8130))))) [8130, 8129] by Demod 6101 with 425 at 1,1,2,3
% 257.68/64.77 Id : 6103, {_}: inverse ?8129 =<= add (inverse (add ?8129 ?8130)) (inverse (add ?8129 (inverse (add ?8129 ?8130)))) [8130, 8129] by Demod 6102 with 5495 at 1,2,3
% 257.68/64.77 Id : 25330, {_}: add ?30834 (inverse (add (inverse (inverse ?30835)) (inverse (add (inverse (add ?30835 ?30836)) ?30834)))) =>= add (inverse (add ?30835 ?30836)) ?30834 [30836, 30835, 30834] by Super 5870 with 6103 at 1,1,1,2,2
% 257.68/64.77 Id : 25962, {_}: add ?30834 (inverse (add ?30835 (inverse (add (inverse (add ?30835 ?30836)) ?30834)))) =>= add (inverse (add ?30835 ?30836)) ?30834 [30836, 30835, 30834] by Demod 25330 with 425 at 1,1,2,2
% 257.68/64.77 Id : 7105, {_}: inverse ?9311 =<= add (inverse (add ?9312 ?9311)) (inverse (add (inverse (add ?9311 ?9312)) ?9311)) [9312, 9311] by Super 2358 with 6789 at 1,1,2,3
% 257.68/64.77 Id : 33340, {_}: add ?37590 (inverse (add (inverse (inverse ?37591)) (inverse (add (inverse (add ?37592 ?37591)) ?37590)))) =>= add (inverse (add ?37592 ?37591)) ?37590 [37592, 37591, 37590] by Super 5870 with 7105 at 1,1,1,2,2
% 257.68/64.77 Id : 34086, {_}: add ?37590 (inverse (add ?37591 (inverse (add (inverse (add ?37592 ?37591)) ?37590)))) =>= add (inverse (add ?37592 ?37591)) ?37590 [37592, 37591, 37590] by Demod 33340 with 425 at 1,1,2,2
% 257.68/64.77 Id : 2350, {_}: inverse ?3682 =<= add (inverse (add (inverse (add ?3683 ?3682)) ?3682)) (inverse (add ?3683 ?3682)) [3683, 3682] by Super 1009 with 2309 at 1,2,3
% 257.68/64.77 Id : 6052, {_}: inverse (inverse (add ?8110 ?8111)) =<= add (inverse (add (inverse (add (inverse ?8110) (inverse (add ?8110 ?8111)))) (inverse (add ?8110 ?8111)))) (inverse (inverse ?8110)) [8111, 8110] by Super 2350 with 6012 at 1,2,3
% 257.68/64.77 Id : 6117, {_}: add ?8110 ?8111 =<= add (inverse (add (inverse (add (inverse ?8110) (inverse (add ?8110 ?8111)))) (inverse (add ?8110 ?8111)))) (inverse (inverse ?8110)) [8111, 8110] by Demod 6052 with 425 at 2
% 257.68/64.77 Id : 6118, {_}: add ?8110 ?8111 =<= add (inverse (inverse ?8110)) (inverse (add (inverse (add (inverse ?8110) (inverse (add ?8110 ?8111)))) (inverse (add ?8110 ?8111)))) [8111, 8110] by Demod 6117 with 6007 at 3
% 257.68/64.77 Id : 6119, {_}: add ?8110 ?8111 =<= add ?8110 (inverse (add (inverse (add (inverse ?8110) (inverse (add ?8110 ?8111)))) (inverse (add ?8110 ?8111)))) [8111, 8110] by Demod 6118 with 425 at 1,3
% 257.68/64.77 Id : 6120, {_}: add ?8110 ?8111 =<= add ?8110 (inverse (add (inverse (inverse ?8110)) (inverse (add ?8110 ?8111)))) [8111, 8110] by Demod 6119 with 6012 at 1,1,1,2,3
% 257.68/64.80 Id : 7327, {_}: add ?9698 ?9699 =<= add ?9698 (inverse (add ?9698 (inverse (add ?9698 ?9699)))) [9699, 9698] by Demod 6120 with 425 at 1,1,2,3
% 257.68/64.80 Id : 7354, {_}: add (inverse (add (inverse (add ?9778 ?9779)) ?9780)) (inverse (add ?9778 ?9780)) =<= add (inverse (add (inverse (add ?9778 ?9779)) ?9780)) (inverse (add (inverse (add (inverse (add ?9778 ?9779)) ?9780)) ?9780)) [9780, 9779, 9778] by Super 7327 with 55 at 2,1,2,3
% 257.68/64.80 Id : 7517, {_}: add (inverse (add (inverse (add ?9778 ?9779)) ?9780)) (inverse (add ?9778 ?9780)) =>= inverse ?9780 [9780, 9779, 9778] by Demod 7354 with 2358 at 3
% 257.68/64.80 Id : 39254, {_}: add (inverse (add ?42342 ?42343)) (inverse (add (inverse (add ?42342 ?42344)) ?42343)) =>= inverse ?42343 [42344, 42343, 42342] by Super 6007 with 7517 at 3
% 257.68/64.80 Id : 64034, {_}: add ?69132 (inverse (inverse ?69132)) =<= add (inverse (add ?69133 (inverse (add ?69133 ?69132)))) ?69132 [69133, 69132] by Super 34086 with 39254 at 1,2,2
% 257.68/64.80 Id : 64326, {_}: add ?69132 ?69132 =<= add (inverse (add ?69133 (inverse (add ?69133 ?69132)))) ?69132 [69133, 69132] by Demod 64034 with 425 at 2,2
% 257.68/64.80 Id : 64327, {_}: ?69132 =<= add (inverse (add ?69133 (inverse (add ?69133 ?69132)))) ?69132 [69133, 69132] by Demod 64326 with 416 at 2
% 257.68/64.80 Id : 74325, {_}: add ?79919 (inverse (add ?79920 (inverse (add ?79920 ?79919)))) =>= ?79919 [79920, 79919] by Super 6007 with 64327 at 3
% 257.68/64.80 Id : 74433, {_}: add ?80270 (inverse (add (inverse (add ?80271 ?80270)) ?80271)) =>= ?80270 [80271, 80270] by Super 74325 with 6007 at 1,2,2
% 257.68/64.80 Id : 87336, {_}: add ?95414 (inverse ?95415) =<= add (inverse (add ?95414 ?95415)) ?95414 [95415, 95414] by Super 34086 with 74433 at 1,2,2
% 257.68/64.80 Id : 87347, {_}: add (inverse (add (inverse (add ?95450 ?95451)) ?95452)) (inverse (inverse (add ?95450 ?95452))) =>= add (inverse (inverse ?95452)) (inverse (add (inverse (add ?95450 ?95451)) ?95452)) [95452, 95451, 95450] by Super 87336 with 7517 at 1,1,3
% 257.68/64.80 Id : 87921, {_}: add (inverse (inverse (add ?95450 ?95452))) (inverse (add (inverse (add ?95450 ?95451)) ?95452)) =>= add (inverse (inverse ?95452)) (inverse (add (inverse (add ?95450 ?95451)) ?95452)) [95451, 95452, 95450] by Demod 87347 with 6007 at 2
% 257.68/64.80 Id : 87922, {_}: add (inverse (inverse (add ?95450 ?95452))) (inverse (add (inverse (add ?95450 ?95451)) ?95452)) =>= add ?95452 (inverse (add (inverse (add ?95450 ?95451)) ?95452)) [95451, 95452, 95450] by Demod 87921 with 425 at 1,3
% 257.68/64.80 Id : 87923, {_}: add (add ?95450 ?95452) (inverse (add (inverse (add ?95450 ?95451)) ?95452)) =>= add ?95452 (inverse (add (inverse (add ?95450 ?95451)) ?95452)) [95451, 95452, 95450] by Demod 87922 with 425 at 1,2
% 257.68/64.80 Id : 87924, {_}: add (inverse (add (inverse (add ?95450 ?95451)) ?95452)) (add ?95450 ?95452) =>= add ?95452 (inverse (add (inverse (add ?95450 ?95451)) ?95452)) [95452, 95451, 95450] by Demod 87923 with 6007 at 2
% 257.68/64.80 Id : 86352, {_}: add ?94249 (inverse ?94250) =<= add (inverse (add ?94249 ?94250)) ?94249 [94250, 94249] by Super 34086 with 74433 at 1,2,2
% 257.68/64.80 Id : 88321, {_}: add ?96428 (inverse (add ?96428 ?96429)) =>= add ?96428 (inverse ?96429) [96429, 96428] by Super 6007 with 86352 at 3
% 257.68/64.80 Id : 88325, {_}: add ?96440 (inverse (add ?96441 ?96440)) =>= add ?96440 (inverse ?96441) [96441, 96440] by Super 88321 with 6007 at 1,2,2
% 257.68/64.80 Id : 437963, {_}: add (inverse (add (inverse (add ?95450 ?95451)) ?95452)) (add ?95450 ?95452) =>= add ?95452 (inverse (inverse (add ?95450 ?95451))) [95452, 95451, 95450] by Demod 87924 with 88325 at 3
% 257.68/64.80 Id : 437964, {_}: add (inverse (add (inverse (add ?95450 ?95451)) ?95452)) (add ?95450 ?95452) =>= add ?95452 (add ?95450 ?95451) [95452, 95451, 95450] by Demod 437963 with 425 at 2,3
% 257.68/64.80 Id : 438192, {_}: add (add ?652160 ?652161) (inverse (add (inverse (add ?652160 ?652162)) (inverse (add ?652161 (add ?652160 ?652162))))) =>= add (inverse (add (inverse (add ?652160 ?652162)) ?652161)) (add ?652160 ?652161) [652162, 652161, 652160] by Super 25962 with 437964 at 1,2,1,2,2
% 257.68/64.80 Id : 439243, {_}: add (inverse (add (inverse (add ?652160 ?652162)) (inverse (add ?652161 (add ?652160 ?652162))))) (add ?652160 ?652161) =>= add (inverse (add (inverse (add ?652160 ?652162)) ?652161)) (add ?652160 ?652161) [652161, 652162, 652160] by Demod 438192 with 6007 at 2
% 257.68/64.80 Id : 439244, {_}: add (inverse (add (inverse (add ?652160 ?652162)) (inverse (add ?652161 (add ?652160 ?652162))))) (add ?652160 ?652161) =>= add ?652161 (add ?652160 ?652162) [652161, 652162, 652160] by Demod 439243 with 437964 at 3
% 257.68/64.80 Id : 439245, {_}: add (inverse (inverse (add ?652160 ?652162))) (add ?652160 ?652161) =>= add ?652161 (add ?652160 ?652162) [652161, 652162, 652160] by Demod 439244 with 2189 at 1,1,2
% 257.68/64.80 Id : 439246, {_}: add (add ?652160 ?652162) (add ?652160 ?652161) =>= add ?652161 (add ?652160 ?652162) [652161, 652162, 652160] by Demod 439245 with 425 at 1,2
% 257.68/64.80 Id : 441261, {_}: add (add ?657411 ?657412) (add ?657413 ?657411) =>= add ?657412 (add ?657411 ?657413) [657413, 657412, 657411] by Super 19809 with 439246 at 3
% 257.68/64.80 Id : 18349, {_}: add ?20244 (add ?20245 ?20246) =<= add (add ?20246 ?20245) (add ?20244 (add ?20246 ?20245)) [20246, 20245, 20244] by Super 18346 with 6007 at 2,2,3
% 257.68/64.80 Id : 18542, {_}: add ?20244 (add ?20245 ?20246) =?= add ?20244 (add ?20246 ?20245) [20246, 20245, 20244] by Demod 18349 with 1717 at 3
% 257.68/64.80 Id : 441195, {_}: add (add ?657128 ?657129) (add ?657130 ?657128) =>= add ?657130 (add ?657128 ?657129) [657130, 657129, 657128] by Super 18542 with 439246 at 3
% 257.68/64.80 Id : 448266, {_}: add ?657413 (add ?657411 ?657412) =?= add ?657412 (add ?657411 ?657413) [657412, 657411, 657413] by Demod 441261 with 441195 at 2
% 257.68/64.80 Id : 7095, {_}: add (inverse (add ?9277 ?9278)) (inverse (add ?9279 (add ?9278 ?9277))) =>= inverse (add ?9278 ?9277) [9279, 9278, 9277] by Super 2189 with 6789 at 1,2
% 257.68/64.80 Id : 87344, {_}: add (inverse (add ?95438 ?95439)) (inverse (inverse (add ?95440 (add ?95439 ?95438)))) =>= add (inverse (inverse (add ?95439 ?95438))) (inverse (add ?95438 ?95439)) [95440, 95439, 95438] by Super 87336 with 7095 at 1,1,3
% 257.68/64.80 Id : 87904, {_}: add (inverse (inverse (add ?95440 (add ?95439 ?95438)))) (inverse (add ?95438 ?95439)) =>= add (inverse (inverse (add ?95439 ?95438))) (inverse (add ?95438 ?95439)) [95438, 95439, 95440] by Demod 87344 with 6007 at 2
% 257.68/64.80 Id : 87905, {_}: add (inverse (inverse (add ?95440 (add ?95439 ?95438)))) (inverse (add ?95438 ?95439)) =>= add (add ?95439 ?95438) (inverse (add ?95438 ?95439)) [95438, 95439, 95440] by Demod 87904 with 425 at 1,3
% 257.68/64.80 Id : 87906, {_}: add (add ?95440 (add ?95439 ?95438)) (inverse (add ?95438 ?95439)) =>= add (add ?95439 ?95438) (inverse (add ?95438 ?95439)) [95438, 95439, 95440] by Demod 87905 with 425 at 1,2
% 257.68/64.80 Id : 87907, {_}: add (add ?95440 (add ?95439 ?95438)) (inverse (add ?95438 ?95439)) =>= add (inverse (add ?95438 ?95439)) (add ?95439 ?95438) [95438, 95439, 95440] by Demod 87906 with 6007 at 3
% 257.68/64.80 Id : 87908, {_}: add (inverse (add ?95438 ?95439)) (add ?95440 (add ?95439 ?95438)) =>= add (inverse (add ?95438 ?95439)) (add ?95439 ?95438) [95440, 95439, 95438] by Demod 87907 with 6007 at 2
% 257.68/64.80 Id : 87343, {_}: add (add ?95435 ?95436) (inverse ?95435) =<= add (inverse (add ?95435 ?95436)) (add ?95435 ?95436) [95436, 95435] by Super 87336 with 6161 at 1,1,3
% 257.68/64.80 Id : 87903, {_}: add (inverse ?95435) (add ?95435 ?95436) =<= add (inverse (add ?95435 ?95436)) (add ?95435 ?95436) [95436, 95435] by Demod 87343 with 6007 at 2
% 257.68/64.80 Id : 87341, {_}: add (inverse ?95429) (inverse (inverse (add ?95429 ?95430))) =>= add (inverse (inverse ?95429)) (inverse ?95429) [95430, 95429] by Super 87336 with 6012 at 1,1,3
% 257.68/64.80 Id : 87898, {_}: add (inverse ?95429) (add ?95429 ?95430) =?= add (inverse (inverse ?95429)) (inverse ?95429) [95430, 95429] by Demod 87341 with 425 at 2,2
% 257.68/64.80 Id : 87899, {_}: add (inverse ?95429) (add ?95429 ?95430) =>= add ?95429 (inverse ?95429) [95430, 95429] by Demod 87898 with 425 at 1,3
% 257.68/64.80 Id : 97318, {_}: add ?95435 (inverse ?95435) =<= add (inverse (add ?95435 ?95436)) (add ?95435 ?95436) [95436, 95435] by Demod 87903 with 87899 at 2
% 257.68/64.80 Id : 97425, {_}: add (inverse (add ?106862 ?106863)) (add ?106863 ?106862) =>= add ?106862 (inverse ?106862) [106863, 106862] by Super 18542 with 97318 at 3
% 257.68/64.80 Id : 137207, {_}: add (inverse (add ?95438 ?95439)) (add ?95440 (add ?95439 ?95438)) =>= add ?95438 (inverse ?95438) [95440, 95439, 95438] by Demod 87908 with 97425 at 3
% 257.68/64.80 Id : 137323, {_}: add (inverse (add ?142212 (add ?142213 (add ?142214 ?142212)))) (inverse (add ?142212 (inverse ?142212))) =>= inverse (add ?142213 (add ?142214 ?142212)) [142214, 142213, 142212] by Super 39254 with 137207 at 1,2,2
% 257.68/64.80 Id : 137688, {_}: add (inverse (add ?142212 (inverse ?142212))) (inverse (add ?142212 (add ?142213 (add ?142214 ?142212)))) =>= inverse (add ?142213 (add ?142214 ?142212)) [142214, 142213, 142212] by Demod 137323 with 6007 at 2
% 257.68/64.80 Id : 87373, {_}: add (add ?95539 ?95540) (inverse ?95540) =<= add (inverse (add ?95539 ?95540)) (add ?95539 ?95540) [95540, 95539] by Super 87336 with 2309 at 1,1,3
% 257.68/64.80 Id : 87958, {_}: add (inverse ?95540) (add ?95539 ?95540) =<= add (inverse (add ?95539 ?95540)) (add ?95539 ?95540) [95539, 95540] by Demod 87373 with 6007 at 2
% 257.68/64.80 Id : 87338, {_}: add (inverse ?95419) (inverse (inverse (add ?95420 ?95419))) =>= add (inverse (inverse ?95419)) (inverse ?95419) [95420, 95419] by Super 87336 with 2189 at 1,1,3
% 257.68/64.80 Id : 87895, {_}: add (inverse ?95419) (add ?95420 ?95419) =?= add (inverse (inverse ?95419)) (inverse ?95419) [95420, 95419] by Demod 87338 with 425 at 2,2
% 257.68/64.80 Id : 87896, {_}: add (inverse ?95419) (add ?95420 ?95419) =>= add ?95419 (inverse ?95419) [95420, 95419] by Demod 87895 with 425 at 1,3
% 257.68/64.80 Id : 99179, {_}: add ?95540 (inverse ?95540) =<= add (inverse (add ?95539 ?95540)) (add ?95539 ?95540) [95539, 95540] by Demod 87958 with 87896 at 2
% 257.68/64.80 Id : 99180, {_}: add ?95540 (inverse ?95540) =?= add ?95539 (inverse ?95539) [95539, 95540] by Demod 99179 with 97318 at 3
% 257.68/64.80 Id : 99373, {_}: ?108326 =<= add (inverse (add ?108327 (inverse ?108327))) ?108326 [108327, 108326] by Super 2604 with 99180 at 1,1,3
% 257.68/64.80 Id : 137689, {_}: inverse (add ?142212 (add ?142213 (add ?142214 ?142212))) =>= inverse (add ?142213 (add ?142214 ?142212)) [142214, 142213, 142212] by Demod 137688 with 99373 at 2
% 257.68/64.80 Id : 139090, {_}: inverse (inverse (add ?143738 (add ?143739 ?143740))) =<= add ?143740 (add ?143738 (add ?143739 ?143740)) [143740, 143739, 143738] by Super 425 with 137689 at 1,2
% 257.68/64.80 Id : 139438, {_}: add ?143738 (add ?143739 ?143740) =<= add ?143740 (add ?143738 (add ?143739 ?143740)) [143740, 143739, 143738] by Demod 139090 with 425 at 2
% 257.68/64.80 Id : 141631, {_}: add (add ?148441 (add ?148442 ?148443)) ?148443 =>= add ?148441 (add ?148442 ?148443) [148443, 148442, 148441] by Super 6007 with 139438 at 3
% 257.68/64.80 Id : 141740, {_}: add (add (add ?148911 ?148912) ?148913) ?148911 =>= add ?148913 (add ?148912 ?148911) [148913, 148912, 148911] by Super 141631 with 19809 at 1,2
% 257.68/64.80 Id : 441299, {_}: add (add ?657577 (add ?657578 ?657579)) ?657578 =?= add (add ?657578 ?657577) (add ?657579 ?657578) [657579, 657578, 657577] by Super 141740 with 439246 at 1,2
% 257.68/64.80 Id : 141635, {_}: add (add ?148457 (add ?148458 ?148459)) ?148458 =>= add ?148457 (add ?148459 ?148458) [148459, 148458, 148457] by Super 141631 with 6007 at 2,1,2
% 257.68/64.80 Id : 442208, {_}: add ?657577 (add ?657579 ?657578) =<= add (add ?657578 ?657577) (add ?657579 ?657578) [657578, 657579, 657577] by Demod 441299 with 141635 at 2
% 257.68/64.80 Id : 451578, {_}: add ?657577 (add ?657579 ?657578) =?= add ?657579 (add ?657578 ?657577) [657578, 657579, 657577] by Demod 442208 with 441195 at 3
% 257.68/64.80 Id : 454829, {_}: add a (add b c) === add a (add b c) [] by Demod 454828 with 18542 at 2
% 257.68/64.80 Id : 454828, {_}: add a (add c b) =>= add a (add b c) [] by Demod 454827 with 451578 at 2
% 257.68/64.80 Id : 454827, {_}: add b (add a c) =>= add a (add b c) [] by Demod 454826 with 448266 at 2
% 257.68/64.80 Id : 454826, {_}: add c (add a b) =>= add a (add b c) [] by Demod 1 with 6007 at 2
% 257.68/64.80 Id : 1, {_}: add (add a b) c =>= add a (add b c) [] by huntinton_2
% 257.68/64.80 % SZS output end CNFRefutation for theBenchmark.p
% 257.68/64.80 455: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 64.483514 using nrkbo
%------------------------------------------------------------------------------