TSTP Solution File: GRP438-1 by Matita---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : GRP438-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 10:30:17 EDT 2022
% Result : Unsatisfiable 4.90s 1.53s
% Output : CNFRefutation 4.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP438-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 21:13:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 5916: Facts:
% 0.12/0.33 5916: Id : 2, {_}:
% 0.12/0.33 multiply ?2
% 0.12/0.33 (inverse
% 0.12/0.33 (multiply ?3
% 0.12/0.33 (multiply ?4
% 0.12/0.33 (multiply (multiply (inverse ?4) (inverse (multiply ?5 ?3)))
% 0.12/0.33 ?2))))
% 0.12/0.33 =>=
% 0.12/0.33 ?5
% 0.12/0.33 [5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5
% 0.12/0.33 5916: Goal:
% 0.12/0.33 5916: Id : 1, {_}:
% 0.12/0.33 multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3)
% 0.12/0.33 [] by prove_these_axioms_3
% 4.90/1.53 Statistics :
% 4.90/1.53 Max weight : 74
% 4.90/1.53 Found proof, 1.194969s
% 4.90/1.53 % SZS status Unsatisfiable for theBenchmark.p
% 4.90/1.53 % SZS output start CNFRefutation for theBenchmark.p
% 4.90/1.53 Id : 2, {_}: multiply ?2 (inverse (multiply ?3 (multiply ?4 (multiply (multiply (inverse ?4) (inverse (multiply ?5 ?3))) ?2)))) =>= ?5 [5, 4, 3, 2] by single_axiom ?2 ?3 ?4 ?5
% 4.90/1.53 Id : 3, {_}: multiply ?7 (inverse (multiply ?8 (multiply ?9 (multiply (multiply (inverse ?9) (inverse (multiply ?10 ?8))) ?7)))) =>= ?10 [10, 9, 8, 7] by single_axiom ?7 ?8 ?9 ?10
% 4.90/1.53 Id : 5, {_}: multiply ?19 (inverse (multiply (multiply ?20 (multiply (multiply (inverse ?20) (inverse (multiply ?21 ?22))) (inverse ?23))) (multiply ?23 (multiply ?21 ?19)))) =>= ?22 [23, 22, 21, 20, 19] by Super 3 with 2 at 1,2,2,1,2,2
% 4.90/1.53 Id : 11, {_}: multiply ?57 (inverse (multiply (multiply ?58 (multiply (multiply (inverse ?58) (inverse (multiply ?59 ?60))) (inverse ?61))) (multiply ?61 (multiply ?59 ?57)))) =>= ?60 [61, 60, 59, 58, 57] by Super 3 with 2 at 1,2,2,1,2,2
% 4.90/1.53 Id : 14, {_}: multiply ?80 (inverse (multiply (multiply ?81 (multiply (multiply (inverse ?81) (inverse ?82)) (inverse ?83))) (multiply ?83 (multiply ?84 ?80)))) =?= inverse (multiply ?85 (multiply ?86 (multiply (multiply (inverse ?86) (inverse (multiply ?82 ?85))) ?84))) [86, 85, 84, 83, 82, 81, 80] by Super 11 with 2 at 1,2,1,2,1,1,2,2
% 4.90/1.53 Id : 2360, {_}: inverse (multiply ?20034 (multiply ?20035 (multiply (multiply (inverse ?20035) (inverse (multiply (multiply ?20036 ?20037) ?20034))) ?20036))) =>= ?20037 [20037, 20036, 20035, 20034] by Super 5 with 14 at 2
% 4.90/1.53 Id : 8, {_}: multiply ?34 (inverse (multiply (inverse (multiply (multiply ?35 (multiply (multiply (inverse ?35) (inverse (multiply ?36 ?37))) (inverse ?38))) (multiply ?38 (multiply ?36 ?39)))) (multiply ?40 (multiply (multiply (inverse ?40) (inverse ?37)) ?34)))) =>= ?39 [40, 39, 38, 37, 36, 35, 34] by Super 2 with 5 at 1,2,1,2,2,1,2,2
% 4.90/1.53 Id : 2714, {_}: inverse (multiply ?23630 (multiply ?23631 (multiply (multiply (inverse ?23631) (inverse (multiply (multiply ?23632 ?23633) ?23630))) ?23632))) =>= ?23633 [23633, 23632, 23631, 23630] by Super 5 with 14 at 2
% 4.90/1.53 Id : 2759, {_}: inverse (multiply (multiply ?24008 (multiply ?24009 (inverse ?24010))) (multiply ?24010 (multiply ?24011 ?24012))) =>= multiply (multiply (inverse ?24012) (inverse (multiply ?24009 ?24011))) (inverse ?24008) [24012, 24011, 24010, 24009, 24008] by Super 2714 with 5 at 1,2,2,1,2
% 4.90/1.53 Id : 2816, {_}: multiply ?34 (inverse (multiply (multiply (multiply (inverse ?39) (inverse (multiply (multiply (inverse ?35) (inverse (multiply ?36 ?37))) ?36))) (inverse ?35)) (multiply ?40 (multiply (multiply (inverse ?40) (inverse ?37)) ?34)))) =>= ?39 [40, 37, 36, 35, 39, 34] by Demod 8 with 2759 at 1,1,2,2
% 4.90/1.53 Id : 12, {_}: multiply (inverse (multiply ?63 (multiply ?64 (multiply (multiply (inverse ?64) (inverse (multiply ?65 ?63))) ?66)))) (inverse (multiply (multiply ?67 (multiply (multiply (inverse ?67) (inverse (multiply ?66 ?68))) (inverse ?69))) (multiply ?69 ?65))) =>= ?68 [69, 68, 67, 66, 65, 64, 63] by Super 11 with 2 at 2,2,1,2,2
% 4.90/1.53 Id : 9, {_}: multiply ?42 (inverse (multiply (multiply ?43 (multiply ?44 (inverse ?45))) (multiply ?45 (multiply ?46 ?42)))) =?= multiply ?47 (multiply (multiply (inverse ?47) (inverse (multiply ?44 ?46))) (inverse ?43)) [47, 46, 45, 44, 43, 42] by Super 2 with 5 at 1,2,2,1,2,2
% 4.90/1.53 Id : 588, {_}: multiply (inverse ?5382) (inverse (multiply ?5383 (multiply ?5384 (inverse (multiply (multiply ?5382 (multiply ?5385 (inverse ?5386))) (multiply ?5386 (multiply ?5383 ?5384))))))) =>= ?5385 [5386, 5385, 5384, 5383, 5382] by Super 2 with 9 at 2,1,2,2
% 4.90/1.53 Id : 665, {_}: multiply (inverse ?6007) (inverse (multiply (multiply (inverse ?6008) (inverse (multiply ?6009 (multiply ?6007 (multiply ?6010 (inverse ?6008)))))) ?6009)) =>= ?6010 [6010, 6009, 6008, 6007] by Super 588 with 2 at 2,1,2,2
% 4.90/1.53 Id : 310, {_}: multiply ?3046 (multiply (multiply (inverse ?3046) (inverse (multiply (multiply (inverse ?3047) (inverse (multiply ?3048 ?3049))) ?3048))) (inverse ?3047)) =>= ?3049 [3049, 3048, 3047, 3046] by Super 5 with 9 at 2
% 4.90/1.53 Id : 4, {_}: multiply ?12 (inverse (multiply (inverse (multiply ?13 (multiply ?14 (multiply (multiply (inverse ?14) (inverse (multiply ?15 ?13))) ?16)))) (multiply ?17 (multiply (multiply (inverse ?17) (inverse ?15)) ?12)))) =>= ?16 [17, 16, 15, 14, 13, 12] by Super 3 with 2 at 1,2,1,2,2,1,2,2
% 4.90/1.53 Id : 321, {_}: multiply ?3135 (multiply (multiply (inverse ?3135) (inverse (multiply ?3136 (inverse (multiply ?3137 (multiply ?3138 (multiply (multiply (inverse ?3138) (inverse (multiply ?3139 ?3137))) ?3136))))))) (inverse ?3140)) =?= multiply ?3141 (multiply (multiply (inverse ?3141) (inverse ?3139)) (inverse ?3140)) [3141, 3140, 3139, 3138, 3137, 3136, 3135] by Super 310 with 4 at 1,1,2,1,2,2
% 4.90/1.53 Id : 335, {_}: multiply ?3135 (multiply (multiply (inverse ?3135) (inverse ?3139)) (inverse ?3140)) =?= multiply ?3141 (multiply (multiply (inverse ?3141) (inverse ?3139)) (inverse ?3140)) [3141, 3140, 3139, 3135] by Demod 321 with 2 at 1,2,1,2,2
% 4.90/1.53 Id : 677, {_}: multiply (inverse ?6105) (inverse (multiply (multiply (inverse ?6106) (inverse (multiply ?6107 (multiply ?6108 (multiply (multiply (inverse ?6108) (inverse ?6109)) (inverse ?6106)))))) ?6107)) =>= multiply (inverse ?6105) (inverse ?6109) [6109, 6108, 6107, 6106, 6105] by Super 665 with 335 at 2,1,2,1,1,2,2
% 4.90/1.53 Id : 872, {_}: multiply (inverse (multiply ?7979 (multiply ?7980 (multiply (multiply (inverse ?7980) (inverse (multiply ?7981 ?7979))) (inverse ?7982))))) (inverse (multiply (multiply ?7983 (multiply (multiply (inverse ?7983) (inverse (multiply (inverse ?7982) (inverse ?7984)))) (inverse ?7985))) (multiply ?7985 ?7981))) =?= inverse (multiply (multiply (inverse ?7986) (inverse (multiply ?7987 (multiply ?7988 (multiply (multiply (inverse ?7988) (inverse ?7984)) (inverse ?7986)))))) ?7987) [7988, 7987, 7986, 7985, 7984, 7983, 7982, 7981, 7980, 7979] by Super 12 with 677 at 1,2,1,2,1,1,2,2
% 4.90/1.53 Id : 910, {_}: inverse ?7984 =<= inverse (multiply (multiply (inverse ?7986) (inverse (multiply ?7987 (multiply ?7988 (multiply (multiply (inverse ?7988) (inverse ?7984)) (inverse ?7986)))))) ?7987) [7988, 7987, 7986, 7984] by Demod 872 with 12 at 2
% 4.90/1.53 Id : 619, {_}: multiply (inverse ?5660) (inverse (multiply (multiply (inverse ?5661) (inverse (multiply ?5662 (multiply ?5660 (multiply ?5663 (inverse ?5661)))))) ?5662)) =>= ?5663 [5663, 5662, 5661, 5660] by Super 588 with 2 at 2,1,2,2
% 4.90/1.53 Id : 645, {_}: multiply ?5834 (inverse (multiply ?5835 (multiply ?5836 (multiply ?5837 ?5834)))) =?= multiply (inverse ?5838) (inverse (multiply ?5835 (multiply ?5836 (multiply ?5837 (inverse ?5838))))) [5838, 5837, 5836, 5835, 5834] by Super 2 with 619 at 1,2,2,1,2,2
% 4.90/1.53 Id : 2033, {_}: inverse ?17469 =<= inverse (multiply (multiply ?17470 (inverse (multiply ?17471 (multiply ?17472 (multiply (multiply (inverse ?17472) (inverse ?17469)) ?17470))))) ?17471) [17472, 17471, 17470, 17469] by Super 910 with 645 at 1,1,3
% 4.90/1.53 Id : 3213, {_}: multiply ?26933 (inverse (multiply (multiply (multiply (inverse ?26934) (inverse (multiply (multiply (inverse ?26935) (inverse (multiply ?26936 ?26937))) ?26936))) (inverse ?26935)) (multiply ?26938 (multiply (multiply (inverse ?26938) (inverse ?26937)) ?26933)))) =?= multiply (multiply ?26939 (inverse (multiply ?26940 (multiply ?26941 (multiply (multiply (inverse ?26941) (inverse ?26934)) ?26939))))) ?26940 [26941, 26940, 26939, 26938, 26937, 26936, 26935, 26934, 26933] by Super 2816 with 2033 at 1,1,1,1,2,2
% 4.90/1.53 Id : 3267, {_}: ?26934 =<= multiply (multiply ?26939 (inverse (multiply ?26940 (multiply ?26941 (multiply (multiply (inverse ?26941) (inverse ?26934)) ?26939))))) ?26940 [26941, 26940, 26939, 26934] by Demod 3213 with 2816 at 2
% 4.90/1.53 Id : 3350, {_}: multiply ?27578 (inverse (multiply (multiply ?27579 (multiply (multiply (inverse ?27579) (inverse ?27580)) (inverse ?27581))) (multiply ?27581 ?27580))) =>= ?27578 [27581, 27580, 27579, 27578] by Super 2 with 3267 at 2,2,1,2,2
% 4.90/1.53 Id : 3495, {_}: inverse (multiply (multiply ?28635 ?28636) (multiply ?28637 (multiply (inverse ?28637) ?28638))) =>= multiply (multiply (inverse ?28638) (inverse ?28636)) (inverse ?28635) [28638, 28637, 28636, 28635] by Super 2360 with 3350 at 1,2,2,1,2
% 4.90/1.53 Id : 209, {_}: multiply ?2088 (multiply (multiply (inverse ?2088) (inverse (multiply (multiply (inverse ?2089) (inverse (multiply ?2090 ?2091))) ?2090))) (inverse ?2089)) =>= ?2091 [2091, 2090, 2089, 2088] by Super 5 with 9 at 2
% 4.90/1.53 Id : 2679, {_}: multiply ?23315 (multiply (multiply (inverse ?23315) (inverse (multiply (multiply (inverse (multiply ?23316 (multiply ?23317 (multiply (multiply (inverse ?23317) (inverse (multiply (multiply ?23318 ?23319) ?23316))) ?23318)))) (inverse (multiply ?23320 ?23321))) ?23320))) ?23319) =>= ?23321 [23321, 23320, 23319, 23318, 23317, 23316, 23315] by Super 209 with 2360 at 2,2,2
% 4.90/1.53 Id : 2793, {_}: multiply ?23315 (multiply (multiply (inverse ?23315) (inverse (multiply (multiply ?23319 (inverse (multiply ?23320 ?23321))) ?23320))) ?23319) =>= ?23321 [23321, 23320, 23319, 23315] by Demod 2679 with 2360 at 1,1,1,2,1,2,2
% 4.90/1.53 Id : 3457, {_}: multiply ?28331 (multiply (multiply (inverse ?28331) (inverse (multiply (multiply ?28332 (multiply (multiply (inverse ?28332) (inverse ?28333)) (inverse ?28334))) (multiply ?28334 ?28333)))) (inverse ?28335)) =?= multiply ?28336 (multiply (inverse ?28336) (inverse ?28335)) [28336, 28335, 28334, 28333, 28332, 28331] by Super 335 with 3350 at 1,2,3
% 4.90/1.53 Id : 4152, {_}: multiply ?33247 (multiply (inverse ?33247) (inverse ?33248)) =?= multiply ?33249 (multiply (inverse ?33249) (inverse ?33248)) [33249, 33248, 33247] by Demod 3457 with 3350 at 1,2,2
% 4.90/1.53 Id : 4168, {_}: multiply ?33365 (multiply (inverse ?33365) (inverse (multiply (multiply ?33366 (multiply (multiply (inverse ?33366) (inverse ?33367)) (inverse ?33368))) (multiply ?33368 ?33367)))) =?= multiply ?33369 (inverse ?33369) [33369, 33368, 33367, 33366, 33365] by Super 4152 with 3350 at 2,3
% 4.90/1.53 Id : 4214, {_}: multiply ?33365 (inverse ?33365) =?= multiply ?33369 (inverse ?33369) [33369, 33365] by Demod 4168 with 3350 at 2,2
% 4.90/1.53 Id : 6796, {_}: multiply ?50632 (multiply (multiply (inverse ?50632) (inverse (multiply (multiply ?50633 (inverse ?50633)) ?50634))) (multiply ?50634 ?50635)) =>= ?50635 [50635, 50634, 50633, 50632] by Super 2793 with 4214 at 1,1,2,1,2,2
% 4.90/1.53 Id : 6883, {_}: multiply ?51285 ?51286 =<= inverse (multiply ?51287 (multiply (multiply (inverse ?51287) (inverse ?51286)) (inverse ?51285))) [51287, 51286, 51285] by Super 6796 with 3267 at 2,2
% 4.90/1.53 Id : 3517, {_}: multiply ?28805 (inverse (multiply (multiply ?28806 (multiply (multiply (inverse ?28806) (inverse ?28807)) (inverse ?28808))) (multiply ?28808 ?28807))) =>= ?28805 [28808, 28807, 28806, 28805] by Super 2 with 3267 at 2,2,1,2,2
% 4.90/1.53 Id : 3565, {_}: multiply ?29192 (inverse (multiply ?29193 (multiply ?29194 (multiply (multiply (inverse ?29194) (inverse (multiply ?29195 ?29193))) ?29195)))) =>= ?29192 [29195, 29194, 29193, 29192] by Super 3517 with 2793 at 1,1,2,2
% 4.90/1.53 Id : 4229, {_}: multiply ?33571 (multiply (multiply (inverse ?33571) (inverse (multiply (multiply ?33572 (inverse ?33572)) ?33573))) (multiply ?33573 ?33574)) =>= ?33574 [33574, 33573, 33572, 33571] by Super 2793 with 4214 at 1,1,2,1,2,2
% 4.90/1.53 Id : 6795, {_}: multiply ?50629 (inverse (multiply ?50630 (inverse ?50630))) =>= ?50629 [50630, 50629] by Super 3565 with 4229 at 2,1,2,2
% 4.90/1.53 Id : 6918, {_}: multiply ?51395 (multiply (multiply (inverse ?51395) (inverse (multiply ?51396 ?51397))) ?51396) =>= inverse ?51397 [51397, 51396, 51395] by Super 2793 with 6795 at 1,1,2,1,2,2
% 4.90/1.53 Id : 7881, {_}: multiply ?58690 (multiply (inverse ?58690) ?58691) =>= inverse (inverse ?58691) [58691, 58690] by Super 6883 with 6918 at 1,3
% 4.90/1.53 Id : 8084, {_}: inverse (multiply (multiply ?28635 ?28636) (inverse (inverse ?28638))) =<= multiply (multiply (inverse ?28638) (inverse ?28636)) (inverse ?28635) [28638, 28636, 28635] by Demod 3495 with 7881 at 2,1,2
% 4.90/1.53 Id : 2818, {_}: multiply ?80 (multiply (multiply (inverse ?80) (inverse (multiply (multiply (inverse ?81) (inverse ?82)) ?84))) (inverse ?81)) =?= inverse (multiply ?85 (multiply ?86 (multiply (multiply (inverse ?86) (inverse (multiply ?82 ?85))) ?84))) [86, 85, 84, 82, 81, 80] by Demod 14 with 2759 at 2,2
% 4.90/1.53 Id : 8103, {_}: multiply ?80 (inverse (multiply (multiply ?81 (multiply (multiply (inverse ?81) (inverse ?82)) ?84)) (inverse (inverse ?80)))) =?= inverse (multiply ?85 (multiply ?86 (multiply (multiply (inverse ?86) (inverse (multiply ?82 ?85))) ?84))) [86, 85, 84, 82, 81, 80] by Demod 2818 with 8084 at 2,2
% 4.90/1.53 Id : 15, {_}: multiply ?88 (inverse (multiply (multiply ?89 (multiply (multiply (inverse ?89) (inverse ?90)) (inverse ?91))) (multiply ?91 (multiply ?92 ?88)))) =?= inverse (multiply (multiply ?93 (multiply (multiply (inverse ?93) (inverse (multiply ?94 ?90))) (inverse ?95))) (multiply ?95 (multiply ?94 ?92))) [95, 94, 93, 92, 91, 90, 89, 88] by Super 11 with 5 at 1,2,1,2,1,1,2,2
% 4.90/1.53 Id : 3622, {_}: multiply ?88 (multiply (multiply (inverse ?88) (inverse (multiply (multiply (inverse ?89) (inverse ?90)) ?92))) (inverse ?89)) =?= inverse (multiply (multiply ?93 (multiply (multiply (inverse ?93) (inverse (multiply ?94 ?90))) (inverse ?95))) (multiply ?95 (multiply ?94 ?92))) [95, 94, 93, 92, 90, 89, 88] by Demod 15 with 2759 at 2,2
% 4.90/1.53 Id : 3623, {_}: multiply ?88 (multiply (multiply (inverse ?88) (inverse (multiply (multiply (inverse ?89) (inverse ?90)) ?92))) (inverse ?89)) =?= multiply (multiply (inverse ?92) (inverse (multiply (multiply (inverse ?93) (inverse (multiply ?94 ?90))) ?94))) (inverse ?93) [94, 93, 92, 90, 89, 88] by Demod 3622 with 2759 at 3
% 4.90/1.53 Id : 8089, {_}: multiply ?88 (inverse (multiply (multiply ?89 (multiply (multiply (inverse ?89) (inverse ?90)) ?92)) (inverse (inverse ?88)))) =?= multiply (multiply (inverse ?92) (inverse (multiply (multiply (inverse ?93) (inverse (multiply ?94 ?90))) ?94))) (inverse ?93) [94, 93, 92, 90, 89, 88] by Demod 3623 with 8084 at 2,2
% 4.90/1.53 Id : 8090, {_}: multiply ?88 (inverse (multiply (multiply ?89 (multiply (multiply (inverse ?89) (inverse ?90)) ?92)) (inverse (inverse ?88)))) =?= inverse (multiply (multiply ?93 (multiply (multiply (inverse ?93) (inverse (multiply ?94 ?90))) ?94)) (inverse (inverse ?92))) [94, 93, 92, 90, 89, 88] by Demod 8089 with 8084 at 3
% 4.90/1.53 Id : 8109, {_}: multiply ?88 (inverse (multiply (multiply ?89 (multiply (multiply (inverse ?89) (inverse ?90)) ?92)) (inverse (inverse ?88)))) =>= inverse (multiply (inverse ?90) (inverse (inverse ?92))) [92, 90, 89, 88] by Demod 8090 with 6918 at 1,1,3
% 4.90/1.53 Id : 8110, {_}: inverse (multiply (inverse ?82) (inverse (inverse ?84))) =<= inverse (multiply ?85 (multiply ?86 (multiply (multiply (inverse ?86) (inverse (multiply ?82 ?85))) ?84))) [86, 85, 84, 82] by Demod 8103 with 8109 at 2
% 4.90/1.53 Id : 8111, {_}: multiply ?2 (inverse (multiply (inverse ?5) (inverse (inverse ?2)))) =>= ?5 [5, 2] by Demod 2 with 8110 at 2,2
% 4.90/1.53 Id : 8114, {_}: inverse (multiply (inverse (multiply ?20036 ?20037)) (inverse (inverse ?20036))) =>= ?20037 [20037, 20036] by Demod 2360 with 8110 at 2
% 4.90/1.53 Id : 8187, {_}: inverse (multiply (inverse (inverse (inverse ?60154))) (inverse (inverse ?60155))) =>= multiply (inverse ?60155) ?60154 [60155, 60154] by Super 8114 with 7881 at 1,1,1,2
% 4.90/1.53 Id : 8410, {_}: multiply (multiply (inverse (inverse (inverse ?61008))) (inverse (inverse ?61009))) (inverse (multiply (inverse ?61010) (inverse (multiply (inverse ?61009) ?61008)))) =>= ?61010 [61010, 61009, 61008] by Super 8111 with 8187 at 1,2,1,2,2
% 4.90/1.53 Id : 8523, {_}: inverse (multiply (multiply (multiply (inverse ?61010) (inverse (multiply (inverse ?61009) ?61008))) (inverse ?61009)) (inverse (inverse (inverse (inverse ?61008))))) =>= ?61010 [61008, 61009, 61010] by Demod 8410 with 8084 at 2
% 4.90/1.53 Id : 8524, {_}: inverse (multiply (inverse (multiply (multiply ?61009 (multiply (inverse ?61009) ?61008)) (inverse (inverse ?61010)))) (inverse (inverse (inverse (inverse ?61008))))) =>= ?61010 [61010, 61008, 61009] by Demod 8523 with 8084 at 1,1,2
% 4.90/1.53 Id : 8525, {_}: inverse (multiply (inverse (multiply (inverse (inverse ?61008)) (inverse (inverse ?61010)))) (inverse (inverse (inverse (inverse ?61008))))) =>= ?61010 [61010, 61008] by Demod 8524 with 7881 at 1,1,1,1,2
% 4.90/1.53 Id : 8526, {_}: inverse (inverse ?61010) =>= ?61010 [61010] by Demod 8525 with 8114 at 2
% 4.90/1.53 Id : 8556, {_}: inverse (multiply (multiply ?28635 ?28636) ?28638) =<= multiply (multiply (inverse ?28638) (inverse ?28636)) (inverse ?28635) [28638, 28636, 28635] by Demod 8084 with 8526 at 2,1,2
% 4.90/1.53 Id : 8541, {_}: inverse (multiply (inverse ?60154) (inverse (inverse ?60155))) =>= multiply (inverse ?60155) ?60154 [60155, 60154] by Demod 8187 with 8526 at 1,1,2
% 4.90/1.53 Id : 8542, {_}: inverse (multiply (inverse ?60154) ?60155) =>= multiply (inverse ?60155) ?60154 [60155, 60154] by Demod 8541 with 8526 at 2,1,2
% 4.90/1.53 Id : 8597, {_}: inverse (multiply ?61513 ?61514) =<= multiply (inverse ?61514) (inverse ?61513) [61514, 61513] by Super 8542 with 8526 at 1,1,2
% 4.90/1.53 Id : 8654, {_}: inverse (multiply (multiply ?28635 ?28636) ?28638) =<= multiply (inverse (multiply ?28636 ?28638)) (inverse ?28635) [28638, 28636, 28635] by Demod 8556 with 8597 at 1,3
% 4.90/1.53 Id : 8655, {_}: inverse (multiply (multiply ?28635 ?28636) ?28638) =>= inverse (multiply ?28635 (multiply ?28636 ?28638)) [28638, 28636, 28635] by Demod 8654 with 8597 at 3
% 4.90/1.53 Id : 8738, {_}: inverse (multiply (inverse (multiply ?61940 ?61941)) ?61942) =<= inverse (multiply (inverse ?61941) (multiply (inverse ?61940) ?61942)) [61942, 61941, 61940] by Super 8655 with 8597 at 1,1,2
% 4.90/1.53 Id : 8829, {_}: multiply (inverse ?61942) (multiply ?61940 ?61941) =<= inverse (multiply (inverse ?61941) (multiply (inverse ?61940) ?61942)) [61941, 61940, 61942] by Demod 8738 with 8542 at 2
% 4.90/1.53 Id : 8830, {_}: multiply (inverse ?61942) (multiply ?61940 ?61941) =<= multiply (inverse (multiply (inverse ?61940) ?61942)) ?61941 [61941, 61940, 61942] by Demod 8829 with 8542 at 3
% 4.90/1.53 Id : 9656, {_}: multiply (inverse ?64530) (multiply ?64531 ?64532) =<= multiply (multiply (inverse ?64530) ?64531) ?64532 [64532, 64531, 64530] by Demod 8830 with 8542 at 1,3
% 4.90/1.53 Id : 9657, {_}: multiply (inverse (inverse ?64534)) (multiply ?64535 ?64536) =>= multiply (multiply ?64534 ?64535) ?64536 [64536, 64535, 64534] by Super 9656 with 8526 at 1,1,3
% 4.90/1.53 Id : 9960, {_}: multiply ?64534 (multiply ?64535 ?64536) =<= multiply (multiply ?64534 ?64535) ?64536 [64536, 64535, 64534] by Demod 9657 with 8526 at 1,2
% 4.90/1.53 Id : 10316, {_}: multiply a3 (multiply b3 c3) =?= multiply a3 (multiply b3 c3) [] by Demod 1 with 9960 at 2
% 4.90/1.53 Id : 1, {_}: multiply (multiply a3 b3) c3 =>= multiply a3 (multiply b3 c3) [] by prove_these_axioms_3
% 4.90/1.53 % SZS output end CNFRefutation for theBenchmark.p
% 4.90/1.53 5918: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 1.199311 using kbo
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