TSTP Solution File: REL025-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : REL025-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n003.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 : Mon Jul 18 19:42:17 EDT 2022
% Result : Unsatisfiable 123.42s 31.22s
% Output : CNFRefutation 123.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : REL025-1 : TPTP v8.1.0. Released v4.0.0.
% 0.09/0.15 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.14/0.36 % Computer : n003.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.37 % WCLimit : 600
% 0.14/0.37 % DateTime : Fri Jul 8 07:25:27 EDT 2022
% 0.14/0.37 % CPUTime :
% 0.14/0.37 27295: Facts:
% 0.14/0.37 27295: Id : 2, {_}:
% 0.14/0.37 join ?2 ?3 =?= join ?3 ?2
% 0.14/0.37 [3, 2] by maddux1_join_commutativity_1 ?2 ?3
% 0.14/0.37 27295: Id : 3, {_}:
% 0.14/0.37 join ?5 (join ?6 ?7) =?= join (join ?5 ?6) ?7
% 0.14/0.37 [7, 6, 5] by maddux2_join_associativity_2 ?5 ?6 ?7
% 0.14/0.37 27295: Id : 4, {_}:
% 0.14/0.37 ?9
% 0.14/0.37 =<=
% 0.14/0.37 join (complement (join (complement ?9) (complement ?10)))
% 0.14/0.37 (complement (join (complement ?9) ?10))
% 0.14/0.37 [10, 9] by maddux3_a_kind_of_de_Morgan_3 ?9 ?10
% 0.14/0.37 27295: Id : 5, {_}:
% 0.14/0.37 meet ?12 ?13 =<= complement (join (complement ?12) (complement ?13))
% 0.14/0.37 [13, 12] by maddux4_definiton_of_meet_4 ?12 ?13
% 0.14/0.37 27295: Id : 6, {_}:
% 0.14/0.37 composition ?15 (composition ?16 ?17)
% 0.14/0.37 =?=
% 0.14/0.37 composition (composition ?15 ?16) ?17
% 0.14/0.37 [17, 16, 15] by composition_associativity_5 ?15 ?16 ?17
% 0.14/0.37 27295: Id : 7, {_}: composition ?19 one =>= ?19 [19] by composition_identity_6 ?19
% 0.14/0.37 27295: Id : 8, {_}:
% 0.14/0.37 composition (join ?21 ?22) ?23
% 0.14/0.37 =<=
% 0.14/0.37 join (composition ?21 ?23) (composition ?22 ?23)
% 0.14/0.37 [23, 22, 21] by composition_distributivity_7 ?21 ?22 ?23
% 0.14/0.37 27295: Id : 9, {_}:
% 0.14/0.37 converse (converse ?25) =>= ?25
% 0.14/0.37 [25] by converse_idempotence_8 ?25
% 0.14/0.37 27295: Id : 10, {_}:
% 0.14/0.37 converse (join ?27 ?28) =<= join (converse ?27) (converse ?28)
% 0.14/0.37 [28, 27] by converse_additivity_9 ?27 ?28
% 0.14/0.37 27295: Id : 11, {_}:
% 0.14/0.37 converse (composition ?30 ?31)
% 0.14/0.37 =<=
% 0.14/0.37 composition (converse ?31) (converse ?30)
% 0.14/0.37 [31, 30] by converse_multiplicativity_10 ?30 ?31
% 0.14/0.37 27295: Id : 12, {_}:
% 0.14/0.37 join (composition (converse ?33) (complement (composition ?33 ?34)))
% 0.14/0.37 (complement ?34)
% 0.14/0.37 =>=
% 0.14/0.37 complement ?34
% 0.14/0.37 [34, 33] by converse_cancellativity_11 ?33 ?34
% 0.14/0.37 27295: Id : 13, {_}: top =<= join ?36 (complement ?36) [36] by def_top_12 ?36
% 0.14/0.37 27295: Id : 14, {_}: zero =<= meet ?38 (complement ?38) [38] by def_zero_13 ?38
% 0.14/0.37 27295: Id : 15, {_}: join sk1 one =>= one [] by goals_14
% 0.14/0.37 27295: Goal:
% 0.14/0.37 27295: Id : 1, {_}: converse sk1 =>= sk1 [] by goals_15
% 123.42/31.22 Statistics :
% 123.42/31.22 Max weight : 22
% 123.42/31.22 Found proof, 30.853594s
% 123.42/31.22 % SZS status Unsatisfiable for theBenchmark.p
% 123.42/31.22 % SZS output start CNFRefutation for theBenchmark.p
% 123.42/31.22 Id : 15, {_}: join sk1 one =>= one [] by goals_14
% 123.42/31.22 Id : 11, {_}: converse (composition ?30 ?31) =<= composition (converse ?31) (converse ?30) [31, 30] by converse_multiplicativity_10 ?30 ?31
% 123.42/31.22 Id : 8, {_}: composition (join ?21 ?22) ?23 =<= join (composition ?21 ?23) (composition ?22 ?23) [23, 22, 21] by composition_distributivity_7 ?21 ?22 ?23
% 123.42/31.22 Id : 10, {_}: converse (join ?27 ?28) =<= join (converse ?27) (converse ?28) [28, 27] by converse_additivity_9 ?27 ?28
% 123.42/31.22 Id : 23, {_}: join ?64 (join ?65 ?66) =<= join (join ?64 ?65) ?66 [66, 65, 64] by maddux2_join_associativity_2 ?64 ?65 ?66
% 123.42/31.22 Id : 101, {_}: converse (join ?237 ?238) =<= join (converse ?237) (converse ?238) [238, 237] by converse_additivity_9 ?237 ?238
% 123.42/31.22 Id : 4, {_}: ?9 =<= join (complement (join (complement ?9) (complement ?10))) (complement (join (complement ?9) ?10)) [10, 9] by maddux3_a_kind_of_de_Morgan_3 ?9 ?10
% 123.42/31.22 Id : 9, {_}: converse (converse ?25) =>= ?25 [25] by converse_idempotence_8 ?25
% 123.42/31.22 Id : 114, {_}: converse (composition ?267 ?268) =<= composition (converse ?268) (converse ?267) [268, 267] by converse_multiplicativity_10 ?267 ?268
% 123.42/31.22 Id : 7, {_}: composition ?19 one =>= ?19 [19] by composition_identity_6 ?19
% 123.42/31.22 Id : 2, {_}: join ?2 ?3 =?= join ?3 ?2 [3, 2] by maddux1_join_commutativity_1 ?2 ?3
% 123.42/31.22 Id : 12, {_}: join (composition (converse ?33) (complement (composition ?33 ?34))) (complement ?34) =>= complement ?34 [34, 33] by converse_cancellativity_11 ?33 ?34
% 123.42/31.22 Id : 3, {_}: join ?5 (join ?6 ?7) =<= join (join ?5 ?6) ?7 [7, 6, 5] by maddux2_join_associativity_2 ?5 ?6 ?7
% 123.42/31.22 Id : 14, {_}: zero =<= meet ?38 (complement ?38) [38] by def_zero_13 ?38
% 123.42/31.22 Id : 13, {_}: top =<= join ?36 (complement ?36) [36] by def_top_12 ?36
% 123.42/31.22 Id : 5, {_}: meet ?12 ?13 =<= complement (join (complement ?12) (complement ?13)) [13, 12] by maddux4_definiton_of_meet_4 ?12 ?13
% 123.42/31.22 Id : 53, {_}: meet ?130 ?131 =<= complement (join (complement ?130) (complement ?131)) [131, 130] by maddux4_definiton_of_meet_4 ?130 ?131
% 123.42/31.22 Id : 4687, {_}: meet ?4935 (join (complement ?4936) (complement ?4937)) =<= complement (join (complement ?4935) (meet ?4936 ?4937)) [4937, 4936, 4935] by Super 53 with 5 at 2,1,3
% 123.42/31.22 Id : 138, {_}: meet ?320 (complement ?320) =>= complement top [320] by Super 5 with 13 at 1,3
% 123.42/31.22 Id : 254, {_}: zero =<= complement top [] by Demod 138 with 14 at 2
% 123.42/31.22 Id : 258, {_}: meet top ?550 =<= complement (join zero (complement ?550)) [550] by Super 5 with 254 at 1,1,3
% 123.42/31.22 Id : 118, {_}: join (complement ?34) (composition (converse ?33) (complement (composition ?33 ?34))) =>= complement ?34 [33, 34] by Demod 12 with 2 at 2
% 123.42/31.22 Id : 1174, {_}: converse (composition (converse ?1888) ?1889) =>= composition (converse ?1889) ?1888 [1889, 1888] by Super 114 with 9 at 2,3
% 123.42/31.22 Id : 1179, {_}: converse (converse ?1906) =<= composition (converse one) ?1906 [1906] by Super 1174 with 7 at 1,2
% 123.42/31.22 Id : 1192, {_}: ?1906 =<= composition (converse one) ?1906 [1906] by Demod 1179 with 9 at 2
% 123.42/31.22 Id : 1200, {_}: one =<= converse one [] by Super 7 with 1192 at 2
% 123.42/31.22 Id : 1230, {_}: join (complement ?1961) (composition one (complement (composition one ?1961))) =>= complement ?1961 [1961] by Super 118 with 1200 at 1,2,2
% 123.42/31.22 Id : 1222, {_}: ?1906 =<= composition one ?1906 [1906] by Demod 1192 with 1200 at 1,3
% 123.42/31.22 Id : 1240, {_}: join (complement ?1961) (complement (composition one ?1961)) =>= complement ?1961 [1961] by Demod 1230 with 1222 at 2,2
% 123.42/31.22 Id : 2067, {_}: join (complement ?2782) (complement ?2782) =>= complement ?2782 [2782] by Demod 1240 with 1222 at 1,2,2
% 123.42/31.22 Id : 2069, {_}: join (complement top) zero =>= complement top [] by Super 2067 with 254 at 2,2
% 123.42/31.22 Id : 2098, {_}: join zero (complement top) =>= complement top [] by Demod 2069 with 2 at 2
% 123.42/31.22 Id : 2099, {_}: join zero (complement top) =>= zero [] by Demod 2098 with 254 at 3
% 123.42/31.22 Id : 2100, {_}: join zero zero =>= zero [] by Demod 2099 with 254 at 2,2
% 123.42/31.22 Id : 2580, {_}: join zero (join zero ?3245) =>= join zero ?3245 [3245] by Super 3 with 2100 at 1,3
% 123.42/31.22 Id : 35, {_}: ?9 =<= join (complement (join (complement ?9) ?10)) (complement (join (complement ?9) (complement ?10))) [10, 9] by Demod 4 with 2 at 3
% 123.42/31.22 Id : 49, {_}: ?9 =<= join (complement (join (complement ?9) ?10)) (meet ?9 ?10) [10, 9] by Demod 35 with 5 at 2,3
% 123.42/31.22 Id : 50, {_}: ?9 =<= join (meet ?9 ?10) (complement (join (complement ?9) ?10)) [10, 9] by Demod 49 with 2 at 3
% 123.42/31.22 Id : 147, {_}: ?331 =<= join zero (complement (join (complement ?331) (complement ?331))) [331] by Super 50 with 14 at 1,3
% 123.42/31.22 Id : 151, {_}: ?331 =<= join zero (meet ?331 ?331) [331] by Demod 147 with 5 at 2,3
% 123.42/31.22 Id : 2598, {_}: join zero ?3280 =<= join zero (meet ?3280 ?3280) [3280] by Super 2580 with 151 at 2,2
% 123.42/31.22 Id : 2653, {_}: join zero ?3280 =>= ?3280 [3280] by Demod 2598 with 151 at 3
% 123.42/31.22 Id : 2683, {_}: meet top ?550 =<= complement (complement ?550) [550] by Demod 258 with 2653 at 1,3
% 123.42/31.22 Id : 38, {_}: ?100 =<= join (complement (join (complement ?100) ?101)) (complement (join (complement ?100) (complement ?101))) [101, 100] by Demod 4 with 2 at 3
% 123.42/31.22 Id : 42, {_}: ?112 =<= join (complement (join ?113 (complement ?112))) (complement (join (complement ?112) (complement ?113))) [113, 112] by Super 38 with 2 at 1,1,3
% 123.42/31.22 Id : 1491, {_}: ?112 =<= join (complement (join ?113 (complement ?112))) (meet ?112 ?113) [113, 112] by Demod 42 with 5 at 2,3
% 123.42/31.22 Id : 1492, {_}: ?112 =<= join (meet ?112 ?113) (complement (join ?113 (complement ?112))) [113, 112] by Demod 1491 with 2 at 3
% 123.42/31.22 Id : 1241, {_}: join (complement ?1961) (complement ?1961) =>= complement ?1961 [1961] by Demod 1240 with 1222 at 1,2,2
% 123.42/31.23 Id : 2065, {_}: ?2779 =<= join (meet ?2779 (complement ?2779)) (complement (complement ?2779)) [2779] by Super 1492 with 1241 at 1,2,3
% 123.42/31.23 Id : 2082, {_}: ?2779 =<= join (complement (complement ?2779)) (meet ?2779 (complement ?2779)) [2779] by Demod 2065 with 2 at 3
% 123.42/31.23 Id : 2083, {_}: ?2779 =<= join (complement (complement ?2779)) zero [2779] by Demod 2082 with 14 at 2,3
% 123.42/31.23 Id : 2084, {_}: ?2779 =<= join zero (complement (complement ?2779)) [2779] by Demod 2083 with 2 at 3
% 123.42/31.23 Id : 2687, {_}: ?2779 =<= complement (complement ?2779) [2779] by Demod 2084 with 2653 at 3
% 123.42/31.23 Id : 2690, {_}: meet top ?550 =>= ?550 [550] by Demod 2683 with 2687 at 3
% 123.42/31.23 Id : 4688, {_}: meet ?4939 (join (complement top) (complement ?4940)) =>= complement (join (complement ?4939) ?4940) [4940, 4939] by Super 4687 with 2690 at 2,1,3
% 123.42/31.23 Id : 4725, {_}: meet ?4939 (join zero (complement ?4940)) =>= complement (join (complement ?4939) ?4940) [4940, 4939] by Demod 4688 with 254 at 1,2,2
% 123.42/31.23 Id : 4726, {_}: meet ?4939 (complement ?4940) =<= complement (join (complement ?4939) ?4940) [4940, 4939] by Demod 4725 with 2653 at 2,2
% 123.42/31.23 Id : 103, {_}: converse (join (converse ?243) ?244) =>= join ?243 (converse ?244) [244, 243] by Super 101 with 9 at 1,3
% 123.42/31.23 Id : 102, {_}: converse (join ?240 (converse ?241)) =>= join (converse ?240) ?241 [241, 240] by Super 101 with 9 at 2,3
% 123.42/31.23 Id : 5868, {_}: join (complement ?6022) ?6023 =<= complement (meet ?6022 (complement ?6023)) [6023, 6022] by Super 2687 with 4726 at 1,3
% 123.42/31.23 Id : 2685, {_}: ?331 =<= meet ?331 ?331 [331] by Demod 151 with 2653 at 3
% 123.42/31.23 Id : 5879, {_}: join (complement (complement ?6052)) ?6052 =>= complement (complement ?6052) [6052] by Super 5868 with 2685 at 1,3
% 123.42/31.23 Id : 5928, {_}: join ?6052 (complement (complement ?6052)) =>= complement (complement ?6052) [6052] by Demod 5879 with 2 at 2
% 123.42/31.23 Id : 5929, {_}: join ?6052 (complement (complement ?6052)) =>= ?6052 [6052] by Demod 5928 with 2687 at 3
% 123.42/31.23 Id : 5930, {_}: join ?6052 ?6052 =>= ?6052 [6052] by Demod 5929 with 2687 at 2,2
% 123.42/31.23 Id : 26546, {_}: join ?19266 (join ?19266 ?19267) =>= join ?19266 ?19267 [19267, 19266] by Super 3 with 5930 at 1,3
% 123.42/31.23 Id : 39, {_}: ?103 =<= join (complement (join (complement ?103) ?104)) (complement (join (complement ?104) (complement ?103))) [104, 103] by Super 38 with 2 at 1,2,3
% 123.42/31.23 Id : 1067, {_}: ?103 =<= join (complement (join (complement ?103) ?104)) (meet ?104 ?103) [104, 103] by Demod 39 with 5 at 2,3
% 123.42/31.23 Id : 1068, {_}: ?103 =<= join (meet ?104 ?103) (complement (join (complement ?103) ?104)) [104, 103] by Demod 1067 with 2 at 3
% 123.42/31.23 Id : 5062, {_}: ?103 =<= join (meet ?104 ?103) (meet ?103 (complement ?104)) [104, 103] by Demod 1068 with 4726 at 2,3
% 123.42/31.23 Id : 26593, {_}: join (meet ?19387 ?19388) ?19388 =<= join (meet ?19387 ?19388) (meet ?19388 (complement ?19387)) [19388, 19387] by Super 26546 with 5062 at 2,2
% 123.42/31.23 Id : 26781, {_}: join ?19388 (meet ?19387 ?19388) =<= join (meet ?19387 ?19388) (meet ?19388 (complement ?19387)) [19387, 19388] by Demod 26593 with 2 at 2
% 123.42/31.23 Id : 26782, {_}: join ?19388 (meet ?19387 ?19388) =>= ?19388 [19387, 19388] by Demod 26781 with 5062 at 3
% 123.42/31.23 Id : 5085, {_}: meet ?5260 (complement ?5261) =<= complement (join (complement ?5260) ?5261) [5261, 5260] by Demod 4725 with 2653 at 2,2
% 123.42/31.23 Id : 5090, {_}: meet ?5274 (complement ?5275) =<= complement (join ?5275 (complement ?5274)) [5275, 5274] by Super 5085 with 2 at 1,3
% 123.42/31.23 Id : 44, {_}: join (complement ?118) ?119 =<= join (complement ?118) (complement (join (complement (join (complement ?118) ?119)) (complement (complement (join (complement ?118) (complement ?119)))))) [119, 118] by Super 38 with 35 at 1,1,3
% 123.42/31.23 Id : 2211, {_}: join (complement ?118) ?119 =<= join (complement ?118) (meet (join (complement ?118) ?119) (complement (join (complement ?118) (complement ?119)))) [119, 118] by Demod 44 with 5 at 2,3
% 123.42/31.23 Id : 2212, {_}: join (complement ?118) ?119 =<= join (complement ?118) (meet (join (complement ?118) ?119) (meet ?118 ?119)) [119, 118] by Demod 2211 with 5 at 2,2,3
% 123.42/31.23 Id : 56, {_}: meet ?141 ?142 =<= complement (join (complement ?142) (complement ?141)) [142, 141] by Super 53 with 2 at 1,3
% 123.42/31.23 Id : 61, {_}: meet ?141 ?142 =?= meet ?142 ?141 [142, 141] by Demod 56 with 5 at 3
% 123.42/31.23 Id : 11703, {_}: join (complement ?118) ?119 =<= join (complement ?118) (meet (meet ?118 ?119) (join (complement ?118) ?119)) [119, 118] by Demod 2212 with 61 at 2,3
% 123.42/31.23 Id : 1224, {_}: converse (join one ?1950) =>= join one (converse ?1950) [1950] by Super 103 with 1200 at 1,1,2
% 123.42/31.23 Id : 1261, {_}: converse (join one ?1999) =>= join one (converse ?1999) [1999] by Super 103 with 1200 at 1,1,2
% 123.42/31.23 Id : 24, {_}: join ?68 (join ?69 ?70) =<= join (join ?69 ?68) ?70 [70, 69, 68] by Super 23 with 2 at 1,3
% 123.42/31.23 Id : 30, {_}: join ?68 (join ?69 ?70) =?= join ?69 (join ?68 ?70) [70, 69, 68] by Demod 24 with 3 at 3
% 123.42/31.23 Id : 17171, {_}: converse (join ?13917 (join one ?13918)) =>= join one (converse (join ?13917 ?13918)) [13918, 13917] by Super 1261 with 30 at 1,2
% 123.42/31.23 Id : 17192, {_}: converse (join ?13977 top) =<= join one (converse (join ?13977 (complement one))) [13977] by Super 17171 with 13 at 2,1,2
% 123.42/31.23 Id : 1501, {_}: ?2204 =<= join (meet ?2204 ?2205) (complement (join ?2205 (complement ?2204))) [2205, 2204] by Demod 1491 with 2 at 3
% 123.42/31.23 Id : 255, {_}: zero =<= meet top zero [] by Super 14 with 254 at 2,3
% 123.42/31.23 Id : 257, {_}: meet ?548 top =<= complement (join (complement ?548) zero) [548] by Super 5 with 254 at 2,1,3
% 123.42/31.23 Id : 266, {_}: meet ?548 top =<= complement (join zero (complement ?548)) [548] by Demod 257 with 2 at 1,3
% 123.42/31.23 Id : 485, {_}: meet ?548 top =?= meet top ?548 [548] by Demod 266 with 258 at 3
% 123.42/31.23 Id : 486, {_}: zero =<= meet zero top [] by Demod 255 with 485 at 3
% 123.42/31.23 Id : 1522, {_}: zero =<= join zero (complement (join top (complement zero))) [] by Super 1501 with 486 at 1,3
% 123.42/31.23 Id : 4145, {_}: zero =<= complement (join top (complement zero)) [] by Demod 1522 with 2653 at 3
% 123.42/31.23 Id : 446, {_}: meet top ?916 =<= complement (join zero (complement ?916)) [916] by Super 5 with 254 at 1,1,3
% 123.42/31.23 Id : 448, {_}: meet top top =<= complement (join zero zero) [] by Super 446 with 254 at 2,1,3
% 123.42/31.23 Id : 2120, {_}: meet top top =>= complement zero [] by Demod 448 with 2100 at 1,3
% 123.42/31.23 Id : 2689, {_}: top =<= complement zero [] by Demod 2120 with 2685 at 2
% 123.42/31.23 Id : 4146, {_}: zero =<= complement (join top top) [] by Demod 4145 with 2689 at 2,1,3
% 123.42/31.23 Id : 4152, {_}: top =<= join (join top top) zero [] by Super 13 with 4146 at 2,3
% 123.42/31.23 Id : 4225, {_}: top =<= join zero (join top top) [] by Demod 4152 with 2 at 3
% 123.42/31.23 Id : 4226, {_}: top =<= join top top [] by Demod 4225 with 2653 at 3
% 123.42/31.23 Id : 4263, {_}: join top (join top ?4543) =>= join top ?4543 [4543] by Super 3 with 4226 at 1,3
% 123.42/31.23 Id : 1128, {_}: converse (join (converse ?1806) ?1807) =>= join ?1806 (converse ?1807) [1807, 1806] by Super 101 with 9 at 1,3
% 123.42/31.23 Id : 1138, {_}: converse top =<= join ?1839 (converse (complement (converse ?1839))) [1839] by Super 1128 with 13 at 1,2
% 123.42/31.23 Id : 9229, {_}: join top (converse top) =<= join top (converse (complement (converse top))) [] by Super 4263 with 1138 at 2,2
% 123.42/31.23 Id : 9256, {_}: join top (converse top) =>= converse top [] by Demod 9229 with 1138 at 3
% 123.42/31.23 Id : 9313, {_}: converse (converse top) =<= join (converse top) top [] by Super 102 with 9256 at 1,2
% 123.42/31.23 Id : 9334, {_}: top =<= join (converse top) top [] by Demod 9313 with 9 at 2
% 123.42/31.23 Id : 9335, {_}: top =<= join top (converse top) [] by Demod 9334 with 2 at 3
% 123.42/31.23 Id : 9336, {_}: top =<= converse top [] by Demod 9335 with 9256 at 3
% 123.42/31.23 Id : 9372, {_}: converse (join ?8965 top) =>= join (converse ?8965) top [8965] by Super 10 with 9336 at 2,3
% 123.42/31.23 Id : 9384, {_}: converse (join ?8965 top) =>= join top (converse ?8965) [8965] by Demod 9372 with 2 at 3
% 123.42/31.23 Id : 17324, {_}: join top (converse ?13977) =<= join one (converse (join ?13977 (complement one))) [13977] by Demod 17192 with 9384 at 2
% 123.42/31.23 Id : 5072, {_}: join (complement ?5213) ?5214 =<= complement (meet ?5213 (complement ?5214)) [5214, 5213] by Super 2687 with 4726 at 1,3
% 123.42/31.23 Id : 25208, {_}: join ?18554 (join ?18555 ?18554) =>= join ?18555 ?18554 [18555, 18554] by Super 30 with 5930 at 2,3
% 123.42/31.23 Id : 25256, {_}: join (complement ?18667) top =?= join ?18667 (complement ?18667) [18667] by Super 25208 with 13 at 2,2
% 123.42/31.23 Id : 25619, {_}: join top (complement ?18667) =?= join ?18667 (complement ?18667) [18667] by Demod 25256 with 2 at 2
% 123.42/31.23 Id : 25620, {_}: join top (complement ?18667) =>= top [18667] by Demod 25619 with 13 at 3
% 123.42/31.23 Id : 5088, {_}: meet zero (complement ?5268) =<= complement (join top ?5268) [5268] by Super 5085 with 2689 at 1,1,3
% 123.42/31.23 Id : 5472, {_}: join top ?5651 =<= complement (meet zero (complement ?5651)) [5651] by Super 2687 with 5088 at 1,3
% 123.42/31.23 Id : 5474, {_}: join top (complement ?5654) =>= complement (meet zero ?5654) [5654] by Super 5472 with 2687 at 2,1,3
% 123.42/31.23 Id : 25621, {_}: complement (meet zero ?18667) =>= top [18667] by Demod 25620 with 5474 at 2
% 123.42/31.23 Id : 25868, {_}: join (complement zero) ?18832 =>= top [18832] by Super 5072 with 25621 at 3
% 123.42/31.23 Id : 25957, {_}: join top ?18832 =>= top [18832] by Demod 25868 with 2689 at 1,2
% 123.42/31.23 Id : 27861, {_}: top =<= join one (converse (join ?13977 (complement one))) [13977] by Demod 17324 with 25957 at 2
% 123.42/31.23 Id : 27878, {_}: converse top =<= join one (converse (converse (join ?20189 (complement one)))) [20189] by Super 1224 with 27861 at 1,2
% 123.42/31.23 Id : 27911, {_}: top =<= join one (converse (converse (join ?20189 (complement one)))) [20189] by Demod 27878 with 9336 at 2
% 123.42/31.23 Id : 28000, {_}: top =<= join one (join ?20285 (complement one)) [20285] by Demod 27911 with 9 at 2,3
% 123.42/31.23 Id : 4694, {_}: meet top (join (complement ?4962) (complement ?4963)) =>= complement (join zero (meet ?4962 ?4963)) [4963, 4962] by Super 4687 with 254 at 1,1,3
% 123.42/31.23 Id : 4736, {_}: join (complement ?4962) (complement ?4963) =<= complement (join zero (meet ?4962 ?4963)) [4963, 4962] by Demod 4694 with 2690 at 2
% 123.42/31.23 Id : 4737, {_}: join (complement ?4962) (complement ?4963) =>= complement (meet ?4962 ?4963) [4963, 4962] by Demod 4736 with 2653 at 1,3
% 123.42/31.23 Id : 28008, {_}: top =<= join one (complement (meet ?20299 one)) [20299] by Super 28000 with 4737 at 2,3
% 123.42/31.23 Id : 28263, {_}: meet (meet ?20469 one) (complement one) =>= complement top [20469] by Super 5090 with 28008 at 1,3
% 123.42/31.23 Id : 28299, {_}: meet (complement one) (meet ?20469 one) =>= complement top [20469] by Demod 28263 with 61 at 2
% 123.42/31.23 Id : 28300, {_}: meet (complement one) (meet ?20469 one) =>= zero [20469] by Demod 28299 with 254 at 3
% 123.42/31.23 Id : 28418, {_}: join (complement (complement one)) (meet ?20575 one) =<= join (complement (complement one)) (meet zero (join (complement (complement one)) (meet ?20575 one))) [20575] by Super 11703 with 28300 at 1,2,3
% 123.42/31.23 Id : 28464, {_}: join one (meet ?20575 one) =<= join (complement (complement one)) (meet zero (join (complement (complement one)) (meet ?20575 one))) [20575] by Demod 28418 with 2687 at 1,2
% 123.42/31.23 Id : 28465, {_}: join one (meet ?20575 one) =<= join one (meet zero (join (complement (complement one)) (meet ?20575 one))) [20575] by Demod 28464 with 2687 at 1,3
% 123.42/31.23 Id : 25875, {_}: meet zero ?18851 =>= complement top [18851] by Super 2687 with 25621 at 1,3
% 123.42/31.23 Id : 25943, {_}: meet zero ?18851 =>= zero [18851] by Demod 25875 with 254 at 3
% 123.42/31.23 Id : 28466, {_}: join one (meet ?20575 one) =>= join one zero [20575] by Demod 28465 with 25943 at 2,3
% 123.42/31.23 Id : 28467, {_}: join one (meet ?20575 one) =>= join zero one [20575] by Demod 28466 with 2 at 3
% 123.42/31.23 Id : 28468, {_}: join one (meet ?20575 one) =>= one [20575] by Demod 28467 with 2653 at 3
% 123.42/31.23 Id : 55615, {_}: join one (join (meet ?46127 one) ?46128) =>= join one ?46128 [46128, 46127] by Super 3 with 28468 at 1,3
% 123.42/31.23 Id : 5059, {_}: ?9 =<= join (meet ?9 ?10) (meet ?9 (complement ?10)) [10, 9] by Demod 50 with 4726 at 2,3
% 123.42/31.23 Id : 55881, {_}: join one ?46345 =<= join one (meet ?46345 (complement one)) [46345] by Super 55615 with 5059 at 2,2
% 123.42/31.23 Id : 56013, {_}: join one ?46445 =<= join one (meet (complement one) ?46445) [46445] by Super 55881 with 61 at 2,3
% 123.42/31.23 Id : 5087, {_}: meet (complement ?5265) (complement ?5266) =>= complement (join ?5265 ?5266) [5266, 5265] by Super 5085 with 2687 at 1,1,3
% 123.42/31.23 Id : 56316, {_}: join one (complement ?46659) =<= join one (complement (join one ?46659)) [46659] by Super 56013 with 5087 at 2,3
% 123.42/31.23 Id : 1273, {_}: converse top =<= join one (converse (complement one)) [] by Super 1261 with 13 at 1,2
% 123.42/31.23 Id : 9356, {_}: top =<= join one (converse (complement one)) [] by Demod 1273 with 9336 at 2
% 123.42/31.23 Id : 56376, {_}: join one (complement (converse (complement one))) =>= join one (complement top) [] by Super 56316 with 9356 at 1,2,3
% 123.42/31.23 Id : 56596, {_}: join one (complement (converse (complement one))) =>= join one zero [] by Demod 56376 with 254 at 2,3
% 123.42/31.23 Id : 56597, {_}: join one (complement (converse (complement one))) =>= join zero one [] by Demod 56596 with 2 at 3
% 123.42/31.23 Id : 56598, {_}: join one (complement (converse (complement one))) =>= one [] by Demod 56597 with 2653 at 3
% 123.42/31.23 Id : 56715, {_}: meet (converse (complement one)) (complement one) =>= complement one [] by Super 5090 with 56598 at 1,3
% 123.42/31.23 Id : 56769, {_}: meet (complement one) (converse (complement one)) =>= complement one [] by Demod 56715 with 61 at 2
% 123.42/31.23 Id : 56918, {_}: join (converse (complement one)) (complement one) =>= converse (complement one) [] by Super 26782 with 56769 at 2,2
% 123.42/31.23 Id : 56938, {_}: join (complement one) (converse (complement one)) =>= converse (complement one) [] by Demod 56918 with 2 at 2
% 123.42/31.23 Id : 57082, {_}: converse (converse (complement one)) =<= join (converse (complement one)) (complement one) [] by Super 102 with 56938 at 1,2
% 123.42/31.23 Id : 57128, {_}: complement one =<= join (converse (complement one)) (complement one) [] by Demod 57082 with 9 at 2
% 123.42/31.23 Id : 57129, {_}: complement one =<= join (complement one) (converse (complement one)) [] by Demod 57128 with 2 at 3
% 123.42/31.23 Id : 57130, {_}: complement one =<= converse (complement one) [] by Demod 57129 with 56938 at 3
% 123.42/31.23 Id : 57662, {_}: converse (join (complement one) ?47626) =>= join (complement one) (converse ?47626) [47626] by Super 103 with 57130 at 1,1,2
% 123.42/31.23 Id : 57673, {_}: converse (complement (meet one ?47648)) =<= join (complement one) (converse (complement ?47648)) [47648] by Super 57662 with 4737 at 1,2
% 123.42/31.23 Id : 60917, {_}: meet one (complement (converse (complement ?50035))) =<= complement (converse (complement (meet one ?50035))) [50035] by Super 4726 with 57673 at 1,3
% 123.42/31.23 Id : 57201, {_}: converse (join (complement one) ?47099) =>= join (complement one) (converse ?47099) [47099] by Super 103 with 57130 at 1,1,2
% 123.42/31.23 Id : 36, {_}: join (complement (join (complement ?93) ?94)) (join (complement (join (complement ?93) (complement ?94))) ?95) =>= join ?93 ?95 [95, 94, 93] by Super 3 with 35 at 1,3
% 123.42/31.23 Id : 622, {_}: join (complement (join (complement ?93) ?94)) (join (meet ?93 ?94) ?95) =>= join ?93 ?95 [95, 94, 93] by Demod 36 with 5 at 1,2,2
% 123.42/31.23 Id : 21, {_}: join ?56 (join ?57 ?58) =?= join ?57 (join ?58 ?56) [58, 57, 56] by Super 2 with 3 at 3
% 123.42/31.23 Id : 623, {_}: join (meet ?93 ?94) (join ?95 (complement (join (complement ?93) ?94))) =>= join ?93 ?95 [95, 94, 93] by Demod 622 with 21 at 2
% 123.42/31.23 Id : 5061, {_}: join (meet ?93 ?94) (join ?95 (meet ?93 (complement ?94))) =>= join ?93 ?95 [95, 94, 93] by Demod 623 with 4726 at 2,2,2
% 123.42/31.23 Id : 30590, {_}: join (meet ?22090 ?22091) (complement ?22091) =>= join ?22090 (complement ?22091) [22091, 22090] by Super 5061 with 26782 at 2,2
% 123.42/31.23 Id : 30640, {_}: join (complement ?22091) (meet ?22090 ?22091) =>= join ?22090 (complement ?22091) [22090, 22091] by Demod 30590 with 2 at 2
% 123.42/31.23 Id : 97837, {_}: converse (join ?79153 (complement one)) =<= join (complement one) (converse (meet ?79153 one)) [79153] by Super 57201 with 30640 at 1,2
% 123.42/31.23 Id : 57208, {_}: converse (join ?47112 (complement one)) =>= join (converse ?47112) (complement one) [47112] by Super 102 with 57130 at 2,1,2
% 123.42/31.23 Id : 57265, {_}: converse (join ?47112 (complement one)) =>= join (complement one) (converse ?47112) [47112] by Demod 57208 with 2 at 3
% 123.42/31.23 Id : 97946, {_}: join (complement one) (converse ?79153) =<= join (complement one) (converse (meet ?79153 one)) [79153] by Demod 97837 with 57265 at 2
% 123.42/31.23 Id : 98257, {_}: meet one (complement (converse (meet ?79407 one))) =>= complement (join (complement one) (converse ?79407)) [79407] by Super 4726 with 97946 at 1,3
% 123.42/31.23 Id : 98310, {_}: meet one (complement (converse (meet ?79407 one))) =>= meet one (complement (converse ?79407)) [79407] by Demod 98257 with 4726 at 3
% 123.42/31.23 Id : 99444, {_}: meet one (complement (converse (complement (complement (converse (meet ?80082 one)))))) =>= complement (converse (complement (meet one (complement (converse ?80082))))) [80082] by Super 60917 with 98310 at 1,1,1,3
% 123.42/31.23 Id : 99499, {_}: meet one (complement (converse (converse (meet ?80082 one)))) =<= complement (converse (complement (meet one (complement (converse ?80082))))) [80082] by Demod 99444 with 2687 at 1,1,2,2
% 123.42/31.23 Id : 99500, {_}: meet one (complement (converse (converse (meet ?80082 one)))) =?= meet one (complement (converse (complement (complement (converse ?80082))))) [80082] by Demod 99499 with 60917 at 3
% 123.42/31.23 Id : 99501, {_}: meet one (complement (meet ?80082 one)) =<= meet one (complement (converse (complement (complement (converse ?80082))))) [80082] by Demod 99500 with 9 at 1,2,2
% 123.42/31.23 Id : 99502, {_}: meet one (complement (meet ?80082 one)) =?= meet one (complement (converse (converse ?80082))) [80082] by Demod 99501 with 2687 at 1,1,2,3
% 123.42/31.23 Id : 101516, {_}: meet one (complement (meet ?82010 one)) =>= meet one (complement ?82010) [82010] by Demod 99502 with 9 at 1,2,3
% 123.42/31.23 Id : 101692, {_}: meet one (complement (meet one ?82114)) =>= meet one (complement ?82114) [82114] by Super 101516 with 61 at 1,2,2
% 123.42/31.23 Id : 101733, {_}: meet one (join (complement one) ?82178) =>= meet one (complement (complement ?82178)) [82178] by Super 101692 with 5072 at 2,2
% 123.42/31.23 Id : 101902, {_}: meet one (join (complement one) ?82178) =>= meet one ?82178 [82178] by Demod 101733 with 2687 at 2,3
% 123.42/31.23 Id : 98, {_}: join (converse ?227) (converse ?228) =>= converse (join ?228 ?227) [228, 227] by Super 2 with 10 at 3
% 123.42/31.23 Id : 107, {_}: converse (join ?227 ?228) =?= converse (join ?228 ?227) [228, 227] by Demod 98 with 10 at 2
% 123.42/31.23 Id : 176233, {_}: composition (join ?135525 (converse ?135526)) (converse ?135527) =<= join (composition ?135525 (converse ?135527)) (converse (composition ?135527 ?135526)) [135527, 135526, 135525] by Super 8 with 11 at 2,3
% 123.42/31.23 Id : 176374, {_}: composition (join one (converse ?136086)) (converse ?136087) =<= join (converse ?136087) (converse (composition ?136087 ?136086)) [136087, 136086] by Super 176233 with 1222 at 1,3
% 123.42/31.23 Id : 1256, {_}: converse (composition ?1985 (join one ?1986)) =<= composition (join one (converse ?1986)) (converse ?1985) [1986, 1985] by Super 11 with 1224 at 1,3
% 123.42/31.23 Id : 176803, {_}: converse (composition ?136087 (join one ?136086)) =<= join (converse ?136087) (converse (composition ?136087 ?136086)) [136086, 136087] by Demod 176374 with 1256 at 2
% 123.42/31.23 Id : 176804, {_}: converse (composition ?136087 (join one ?136086)) =<= converse (join ?136087 (composition ?136087 ?136086)) [136086, 136087] by Demod 176803 with 10 at 3
% 123.42/31.23 Id : 280413, {_}: converse (converse (composition ?208787 (join one ?208788))) =?= join ?208787 (composition ?208787 ?208788) [208788, 208787] by Super 9 with 176804 at 1,2
% 123.42/31.23 Id : 280732, {_}: composition ?208787 (join one ?208788) =<= join ?208787 (composition ?208787 ?208788) [208788, 208787] by Demod 280413 with 9 at 2
% 123.42/31.23 Id : 113, {_}: composition (join (converse ?263) ?264) (converse ?265) =<= join (converse (composition ?265 ?263)) (composition ?264 (converse ?265)) [265, 264, 263] by Super 8 with 11 at 1,3
% 123.42/31.23 Id : 97823, {_}: meet ?79107 (complement (meet ?79108 ?79107)) =>= complement (join ?79108 (complement ?79107)) [79108, 79107] by Super 4726 with 30640 at 1,3
% 123.42/31.23 Id : 97970, {_}: meet ?79107 (complement (meet ?79108 ?79107)) =>= meet ?79107 (complement ?79108) [79108, 79107] by Demod 97823 with 5090 at 3
% 123.42/31.23 Id : 174101, {_}: meet ?134277 (complement (meet ?134278 ?134277)) =>= meet ?134277 (complement ?134278) [134278, 134277] by Demod 97823 with 5090 at 3
% 123.42/31.23 Id : 174102, {_}: meet ?134280 (complement (meet ?134280 ?134281)) =>= meet ?134280 (complement ?134281) [134281, 134280] by Super 174101 with 61 at 1,2,2
% 123.42/31.23 Id : 280483, {_}: converse (composition ?209018 (join one ?209019)) =<= converse (join ?209018 (composition ?209018 ?209019)) [209019, 209018] by Demod 176803 with 10 at 3
% 123.42/31.23 Id : 57206, {_}: converse (composition ?47108 (complement one)) =>= composition (complement one) (converse ?47108) [47108] by Super 11 with 57130 at 1,3
% 123.42/31.23 Id : 116, {_}: converse (composition ?273 (converse ?274)) =>= composition ?274 (converse ?273) [274, 273] by Super 114 with 9 at 1,3
% 123.42/31.23 Id : 57200, {_}: converse (composition ?47097 (complement one)) =>= composition (complement one) (converse ?47097) [47097] by Super 116 with 57130 at 2,1,2
% 123.42/31.23 Id : 58690, {_}: composition (complement one) (converse ?47108) =?= composition (complement one) (converse ?47108) [47108] by Demod 57206 with 57200 at 2
% 123.42/31.23 Id : 280490, {_}: converse (composition (complement one) (join one (converse ?209038))) =<= converse (join (complement one) (composition (complement one) (converse ?209038))) [209038] by Super 280483 with 58690 at 2,1,3
% 123.42/31.23 Id : 1596, {_}: converse (composition ?2320 (converse ?2321)) =>= composition ?2321 (converse ?2320) [2321, 2320] by Super 114 with 9 at 1,3
% 123.42/31.23 Id : 1602, {_}: converse (composition ?2342 (join one (converse ?2343))) =>= composition (join one ?2343) (converse ?2342) [2343, 2342] by Super 1596 with 1224 at 2,1,2
% 123.42/31.23 Id : 280904, {_}: composition (join one ?209038) (converse (complement one)) =<= converse (join (complement one) (composition (complement one) (converse ?209038))) [209038] by Demod 280490 with 1602 at 2
% 123.42/31.23 Id : 280905, {_}: composition (join one ?209038) (converse (complement one)) =<= join (complement one) (converse (composition (complement one) (converse ?209038))) [209038] by Demod 280904 with 57201 at 3
% 123.42/31.23 Id : 280906, {_}: composition (join one ?209038) (complement one) =<= join (complement one) (converse (composition (complement one) (converse ?209038))) [209038] by Demod 280905 with 57130 at 2,2
% 123.42/31.23 Id : 280907, {_}: composition (join one ?209038) (complement one) =<= join (complement one) (composition ?209038 (converse (complement one))) [209038] by Demod 280906 with 116 at 2,3
% 123.42/31.23 Id : 280908, {_}: composition (join one ?209038) (complement one) =<= join (complement one) (composition ?209038 (complement one)) [209038] by Demod 280907 with 57130 at 2,2,3
% 123.42/31.23 Id : 329787, {_}: meet one (complement (composition ?233164 (complement one))) =<= complement (composition (join one ?233164) (complement one)) [233164] by Super 4726 with 280908 at 1,3
% 123.42/31.23 Id : 152, {_}: join one sk1 =>= one [] by Demod 15 with 2 at 2
% 123.42/31.23 Id : 329797, {_}: meet one (complement (composition sk1 (complement one))) =>= complement (composition one (complement one)) [] by Super 329787 with 152 at 1,1,3
% 123.42/31.23 Id : 330029, {_}: meet one (complement (composition sk1 (complement one))) =>= complement (complement one) [] by Demod 329797 with 1222 at 1,3
% 123.42/31.23 Id : 330030, {_}: meet one (complement (composition sk1 (complement one))) =>= one [] by Demod 330029 with 2687 at 3
% 123.42/31.23 Id : 330302, {_}: meet one (complement one) =<= meet one (complement (complement (composition sk1 (complement one)))) [] by Super 174102 with 330030 at 1,2,2
% 123.42/31.23 Id : 330335, {_}: zero =<= meet one (complement (complement (composition sk1 (complement one)))) [] by Demod 330302 with 14 at 2
% 123.42/31.23 Id : 330336, {_}: zero =<= meet one (composition sk1 (complement one)) [] by Demod 330335 with 2687 at 2,3
% 123.42/31.23 Id : 330564, {_}: meet (composition sk1 (complement one)) (complement zero) =?= meet (composition sk1 (complement one)) (complement one) [] by Super 97970 with 330336 at 1,2,2
% 123.42/31.23 Id : 330640, {_}: meet (complement zero) (composition sk1 (complement one)) =<= meet (composition sk1 (complement one)) (complement one) [] by Demod 330564 with 61 at 2
% 123.42/31.23 Id : 330641, {_}: meet (complement zero) (composition sk1 (complement one)) =<= meet (complement one) (composition sk1 (complement one)) [] by Demod 330640 with 61 at 3
% 123.42/31.23 Id : 330642, {_}: meet top (composition sk1 (complement one)) =<= meet (complement one) (composition sk1 (complement one)) [] by Demod 330641 with 2689 at 1,2
% 123.42/31.23 Id : 56020, {_}: join one (complement ?46458) =<= join one (complement (join one ?46458)) [46458] by Super 56013 with 5087 at 2,3
% 123.42/31.23 Id : 56301, {_}: meet (join one ?46622) (complement one) =>= complement (join one (complement ?46622)) [46622] by Super 5090 with 56020 at 1,3
% 123.42/31.23 Id : 56434, {_}: meet (complement one) (join one ?46622) =>= complement (join one (complement ?46622)) [46622] by Demod 56301 with 61 at 2
% 123.42/31.23 Id : 56435, {_}: meet (complement one) (join one ?46622) =>= meet ?46622 (complement one) [46622] by Demod 56434 with 5090 at 3
% 123.42/31.23 Id : 1267, {_}: converse one =<= join one (converse sk1) [] by Super 1261 with 152 at 1,2
% 123.42/31.23 Id : 1298, {_}: one =<= join one (converse sk1) [] by Demod 1267 with 1200 at 2
% 123.42/31.23 Id : 1310, {_}: join one (join (converse sk1) ?2043) =>= join one ?2043 [2043] by Super 3 with 1298 at 1,3
% 123.42/31.23 Id : 115, {_}: converse (composition (converse ?270) ?271) =>= composition (converse ?271) ?270 [271, 270] by Super 114 with 9 at 2,3
% 123.42/31.23 Id : 57209, {_}: converse (composition (complement one) ?47114) =>= composition (converse ?47114) (complement one) [47114] by Super 115 with 57130 at 1,1,2
% 123.42/31.23 Id : 57205, {_}: converse (composition (complement one) ?47106) =>= composition (converse ?47106) (complement one) [47106] by Super 11 with 57130 at 2,3
% 123.42/31.23 Id : 58960, {_}: composition (converse ?47114) (complement one) =?= composition (converse ?47114) (complement one) [47114] by Demod 57209 with 57205 at 2
% 123.42/31.23 Id : 280491, {_}: converse (composition (converse ?209040) (join one (complement one))) =<= converse (join (converse ?209040) (composition (converse ?209040) (complement one))) [209040] by Super 280483 with 58960 at 2,1,3
% 123.42/31.23 Id : 280909, {_}: composition (converse (join one (complement one))) ?209040 =<= converse (join (converse ?209040) (composition (converse ?209040) (complement one))) [209040] by Demod 280491 with 115 at 2
% 123.42/31.23 Id : 280910, {_}: composition (converse (join one (complement one))) ?209040 =<= join ?209040 (converse (composition (converse ?209040) (complement one))) [209040] by Demod 280909 with 103 at 3
% 123.42/31.23 Id : 280911, {_}: composition (join one (converse (complement one))) ?209040 =<= join ?209040 (converse (composition (converse ?209040) (complement one))) [209040] by Demod 280910 with 1224 at 1,2
% 123.42/31.23 Id : 280912, {_}: composition (join one (converse (complement one))) ?209040 =<= join ?209040 (composition (converse (complement one)) ?209040) [209040] by Demod 280911 with 115 at 2,3
% 123.42/31.23 Id : 280913, {_}: composition (join one (complement one)) ?209040 =<= join ?209040 (composition (converse (complement one)) ?209040) [209040] by Demod 280912 with 57130 at 2,1,2
% 123.42/31.23 Id : 280914, {_}: composition (join one (complement one)) ?209040 =<= join ?209040 (composition (complement one) ?209040) [209040] by Demod 280913 with 57130 at 1,2,3
% 123.42/31.23 Id : 280915, {_}: composition top ?209040 =<= join ?209040 (composition (complement one) ?209040) [209040] by Demod 280914 with 13 at 1,2
% 123.42/31.23 Id : 292634, {_}: join one (composition top (converse sk1)) =<= join one (composition (complement one) (converse sk1)) [] by Super 1310 with 280915 at 2,2
% 123.42/31.23 Id : 293961, {_}: converse (join (composition (complement one) (converse sk1)) one) =>= converse (join one (composition top (converse sk1))) [] by Super 107 with 292634 at 1,2
% 123.42/31.23 Id : 294040, {_}: converse (join one (composition (complement one) (converse sk1))) =>= converse (join one (composition top (converse sk1))) [] by Demod 293961 with 107 at 2
% 123.42/31.23 Id : 294041, {_}: converse (join one (composition (complement one) (converse sk1))) =>= join one (converse (composition top (converse sk1))) [] by Demod 294040 with 1224 at 3
% 123.42/31.23 Id : 294042, {_}: join one (converse (composition (complement one) (converse sk1))) =>= join one (converse (composition top (converse sk1))) [] by Demod 294041 with 1224 at 2
% 123.42/31.23 Id : 294043, {_}: join one (converse (composition (complement one) (converse sk1))) =>= join one (composition sk1 (converse top)) [] by Demod 294042 with 116 at 2,3
% 123.42/31.23 Id : 294044, {_}: join one (composition sk1 (converse (complement one))) =>= join one (composition sk1 (converse top)) [] by Demod 294043 with 116 at 2,2
% 123.42/31.23 Id : 294045, {_}: join one (composition sk1 (converse (complement one))) =>= join one (composition sk1 top) [] by Demod 294044 with 9336 at 2,2,3
% 123.42/31.23 Id : 294046, {_}: join one (composition sk1 (complement one)) =>= join one (composition sk1 top) [] by Demod 294045 with 57130 at 2,2,2
% 123.42/31.23 Id : 294202, {_}: meet (complement one) (join one (composition sk1 top)) =>= meet (composition sk1 (complement one)) (complement one) [] by Super 56435 with 294046 at 2,2
% 123.42/31.23 Id : 294287, {_}: meet (composition sk1 top) (complement one) =<= meet (composition sk1 (complement one)) (complement one) [] by Demod 294202 with 56435 at 2
% 123.42/31.23 Id : 294288, {_}: meet (composition sk1 top) (complement one) =<= meet (complement one) (composition sk1 (complement one)) [] by Demod 294287 with 61 at 3
% 123.42/31.23 Id : 294289, {_}: meet (complement one) (composition sk1 top) =<= meet (complement one) (composition sk1 (complement one)) [] by Demod 294288 with 61 at 2
% 123.42/31.23 Id : 153, {_}: join one (join sk1 ?339) =>= join one ?339 [339] by Super 3 with 152 at 1,3
% 123.42/31.23 Id : 315635, {_}: join one (composition sk1 (join one ?226006)) =>= join one (composition sk1 ?226006) [226006] by Super 153 with 280732 at 2,2
% 123.42/31.23 Id : 3995, {_}: join one (join (converse sk1) ?4406) =>= join one ?4406 [4406] by Super 3 with 1298 at 1,3
% 123.42/31.23 Id : 4005, {_}: join one top =<= join one (complement (converse sk1)) [] by Super 3995 with 13 at 2,2
% 123.42/31.23 Id : 4057, {_}: join top one =<= join one (complement (converse sk1)) [] by Demod 4005 with 2 at 2
% 123.42/31.23 Id : 10506, {_}: converse (join ?9812 (join ?9813 one)) =>= join one (converse (join ?9812 ?9813)) [9813, 9812] by Super 1261 with 21 at 1,2
% 123.42/31.23 Id : 10514, {_}: converse (join ?9833 one) =<= join one (converse (join ?9833 one)) [9833] by Super 10506 with 5930 at 2,1,2
% 123.42/31.23 Id : 1231, {_}: converse (join ?1963 one) =>= join (converse ?1963) one [1963] by Super 102 with 1200 at 2,1,2
% 123.42/31.23 Id : 1239, {_}: converse (join ?1963 one) =>= join one (converse ?1963) [1963] by Demod 1231 with 2 at 3
% 123.42/31.23 Id : 10594, {_}: join one (converse ?9833) =<= join one (converse (join ?9833 one)) [9833] by Demod 10514 with 1239 at 2
% 123.42/31.23 Id : 10705, {_}: join one (converse ?9931) =<= join one (join one (converse ?9931)) [9931] by Demod 10594 with 1239 at 2,3
% 123.42/31.23 Id : 10735, {_}: join one (converse (complement one)) =>= join one top [] by Super 10705 with 9356 at 2,3
% 123.42/31.23 Id : 10851, {_}: top =<= join one top [] by Demod 10735 with 9356 at 2
% 123.42/31.23 Id : 10852, {_}: top =<= join top one [] by Demod 10851 with 2 at 3
% 123.42/31.23 Id : 10877, {_}: top =<= join one (complement (converse sk1)) [] by Demod 4057 with 10852 at 2
% 123.42/31.23 Id : 315737, {_}: join one (composition sk1 top) =<= join one (composition sk1 (complement (converse sk1))) [] by Super 315635 with 10877 at 2,2,2
% 123.42/31.23 Id : 320421, {_}: meet (complement one) (join one (composition sk1 top)) =<= meet (composition sk1 (complement (converse sk1))) (complement one) [] by Super 56435 with 315737 at 2,2
% 123.42/31.23 Id : 320592, {_}: meet (composition sk1 top) (complement one) =<= meet (composition sk1 (complement (converse sk1))) (complement one) [] by Demod 320421 with 56435 at 2
% 123.42/31.23 Id : 320593, {_}: meet (composition sk1 top) (complement one) =<= meet (complement one) (composition sk1 (complement (converse sk1))) [] by Demod 320592 with 61 at 3
% 123.42/31.23 Id : 320594, {_}: meet (complement one) (composition sk1 top) =<= meet (complement one) (composition sk1 (complement (converse sk1))) [] by Demod 320593 with 61 at 2
% 123.42/31.23 Id : 102739, {_}: meet one (join (complement one) ?82720) =>= meet one ?82720 [82720] by Demod 101733 with 2687 at 2,3
% 123.42/31.23 Id : 102747, {_}: meet one (complement one) =<= meet one (composition (converse ?82738) (complement (composition ?82738 one))) [82738] by Super 102739 with 118 at 2,2
% 123.42/31.23 Id : 102868, {_}: zero =<= meet one (composition (converse ?82738) (complement (composition ?82738 one))) [82738] by Demod 102747 with 14 at 2
% 123.42/31.23 Id : 225580, {_}: zero =<= meet one (composition (converse ?177385) (complement ?177385)) [177385] by Demod 102868 with 7 at 1,2,2,3
% 123.42/31.23 Id : 59877, {_}: meet (complement one) (join one ?49458) =>= meet ?49458 (complement one) [49458] by Demod 56434 with 5090 at 3
% 123.42/31.23 Id : 1274, {_}: converse (join ?2024 (join one ?2025)) =>= join one (converse (join ?2025 ?2024)) [2025, 2024] by Super 1261 with 21 at 1,2
% 123.42/31.23 Id : 1266, {_}: converse (join ?2010 (join one ?2011)) =>= join one (converse (join ?2010 ?2011)) [2011, 2010] by Super 1261 with 30 at 1,2
% 123.42/31.23 Id : 17523, {_}: join one (converse (join ?2024 ?2025)) =?= join one (converse (join ?2025 ?2024)) [2025, 2024] by Demod 1274 with 1266 at 2
% 123.42/31.23 Id : 28539, {_}: join one (converse (join (meet ?20681 one) one)) =>= join one (converse one) [20681] by Super 17523 with 28468 at 1,2,3
% 123.42/31.23 Id : 28557, {_}: join one (join one (converse (meet ?20681 one))) =>= join one (converse one) [20681] by Demod 28539 with 1239 at 2,2
% 123.42/31.23 Id : 28558, {_}: join one (join one (converse (meet ?20681 one))) =>= join one one [20681] by Demod 28557 with 1200 at 2,3
% 123.42/31.23 Id : 6035, {_}: join ?6259 (join ?6259 ?6260) =>= join ?6259 ?6260 [6260, 6259] by Super 3 with 5930 at 1,3
% 123.42/31.23 Id : 28559, {_}: join one (converse (meet ?20681 one)) =>= join one one [20681] by Demod 28558 with 6035 at 2
% 123.42/31.23 Id : 28560, {_}: join one (converse (meet ?20681 one)) =>= one [20681] by Demod 28559 with 5930 at 3
% 123.42/31.23 Id : 59910, {_}: meet (complement one) one =<= meet (converse (meet ?49527 one)) (complement one) [49527] by Super 59877 with 28560 at 2,2
% 123.42/31.23 Id : 60097, {_}: meet one (complement one) =<= meet (converse (meet ?49527 one)) (complement one) [49527] by Demod 59910 with 61 at 2
% 123.42/31.23 Id : 60098, {_}: meet one (complement one) =<= meet (complement one) (converse (meet ?49527 one)) [49527] by Demod 60097 with 61 at 3
% 123.42/31.23 Id : 60099, {_}: zero =<= meet (complement one) (converse (meet ?49527 one)) [49527] by Demod 60098 with 14 at 2
% 123.42/31.23 Id : 82325, {_}: converse (meet ?67285 one) =<= join zero (meet (converse (meet ?67285 one)) (complement (complement one))) [67285] by Super 5062 with 60099 at 1,3
% 123.42/31.23 Id : 82381, {_}: converse (meet ?67285 one) =<= meet (converse (meet ?67285 one)) (complement (complement one)) [67285] by Demod 82325 with 2653 at 3
% 123.42/31.23 Id : 82382, {_}: converse (meet ?67285 one) =<= meet (complement (complement one)) (converse (meet ?67285 one)) [67285] by Demod 82381 with 61 at 3
% 123.42/31.23 Id : 82453, {_}: converse (meet ?67378 one) =<= meet one (converse (meet ?67378 one)) [67378] by Demod 82382 with 2687 at 1,3
% 123.42/31.23 Id : 82456, {_}: converse (meet ?67384 one) =<= meet one (converse (meet one ?67384)) [67384] by Super 82453 with 61 at 1,2,3
% 123.42/31.23 Id : 1268, {_}: converse (join one ?2014) =<= join one (converse (join sk1 ?2014)) [2014] by Super 1261 with 153 at 1,2
% 123.42/31.23 Id : 1299, {_}: join one (converse ?2014) =<= join one (converse (join sk1 ?2014)) [2014] by Demod 1268 with 1224 at 2
% 123.42/31.23 Id : 26534, {_}: join (meet ?19235 ?19236) (meet ?19235 (complement ?19236)) =>= join ?19235 (meet ?19235 ?19236) [19236, 19235] by Super 5061 with 6035 at 2
% 123.42/31.23 Id : 26643, {_}: ?19235 =<= join ?19235 (meet ?19235 ?19236) [19236, 19235] by Demod 26534 with 5059 at 2
% 123.42/31.23 Id : 29963, {_}: join one (converse (meet sk1 ?21508)) =>= join one (converse sk1) [21508] by Super 1299 with 26643 at 1,2,3
% 123.42/31.23 Id : 30048, {_}: join one (converse (meet sk1 ?21508)) =>= one [21508] by Demod 29963 with 1298 at 3
% 123.42/31.23 Id : 59914, {_}: meet (complement one) one =<= meet (converse (meet sk1 ?49535)) (complement one) [49535] by Super 59877 with 30048 at 2,2
% 123.42/31.23 Id : 60113, {_}: meet one (complement one) =<= meet (converse (meet sk1 ?49535)) (complement one) [49535] by Demod 59914 with 61 at 2
% 123.42/31.23 Id : 60114, {_}: meet one (complement one) =<= meet (complement one) (converse (meet sk1 ?49535)) [49535] by Demod 60113 with 61 at 3
% 123.42/31.23 Id : 60115, {_}: zero =<= meet (complement one) (converse (meet sk1 ?49535)) [49535] by Demod 60114 with 14 at 2
% 123.42/31.23 Id : 83565, {_}: converse (meet sk1 ?68291) =<= join zero (meet (converse (meet sk1 ?68291)) (complement (complement one))) [68291] by Super 5062 with 60115 at 1,3
% 123.42/31.23 Id : 83630, {_}: converse (meet sk1 ?68291) =<= meet (converse (meet sk1 ?68291)) (complement (complement one)) [68291] by Demod 83565 with 2653 at 3
% 123.42/31.23 Id : 83631, {_}: converse (meet sk1 ?68291) =<= meet (complement (complement one)) (converse (meet sk1 ?68291)) [68291] by Demod 83630 with 61 at 3
% 123.42/31.23 Id : 83632, {_}: converse (meet sk1 ?68291) =<= meet one (converse (meet sk1 ?68291)) [68291] by Demod 83631 with 2687 at 1,3
% 123.42/31.23 Id : 83693, {_}: converse (meet (converse (meet sk1 ?68353)) one) =>= meet one (converse (converse (meet sk1 ?68353))) [68353] by Super 82456 with 83632 at 1,2,3
% 123.42/31.23 Id : 83778, {_}: converse (meet one (converse (meet sk1 ?68353))) =>= meet one (converse (converse (meet sk1 ?68353))) [68353] by Demod 83693 with 61 at 1,2
% 123.42/31.23 Id : 83779, {_}: converse (meet one (converse (meet sk1 ?68353))) =>= meet one (meet sk1 ?68353) [68353] by Demod 83778 with 9 at 2,3
% 123.42/31.23 Id : 83780, {_}: converse (converse (meet sk1 ?68353)) =>= meet one (meet sk1 ?68353) [68353] by Demod 83779 with 83632 at 1,2
% 123.42/31.23 Id : 83781, {_}: meet sk1 ?68353 =<= meet one (meet sk1 ?68353) [68353] by Demod 83780 with 9 at 2
% 123.42/31.23 Id : 83882, {_}: meet one (complement (converse (complement (meet sk1 ?68491)))) =>= complement (converse (complement (meet sk1 ?68491))) [68491] by Super 60917 with 83781 at 1,1,1,3
% 123.42/31.23 Id : 97842, {_}: join (complement ?79165) (meet ?79166 ?79165) =>= join ?79166 (complement ?79165) [79166, 79165] by Demod 30590 with 2 at 2
% 123.42/31.23 Id : 97846, {_}: join (complement (complement ?79175)) (complement (join ?79176 ?79175)) =>= join (complement ?79176) (complement (complement ?79175)) [79176, 79175] by Super 97842 with 5087 at 2,2
% 123.42/31.23 Id : 98009, {_}: complement (meet (complement ?79175) (join ?79176 ?79175)) =>= join (complement ?79176) (complement (complement ?79175)) [79176, 79175] by Demod 97846 with 4737 at 2
% 123.42/31.23 Id : 98010, {_}: complement (meet (complement ?79175) (join ?79176 ?79175)) =>= complement (meet ?79176 (complement ?79175)) [79176, 79175] by Demod 98009 with 4737 at 3
% 123.42/31.23 Id : 5649, {_}: join (complement ?5796) (complement ?5797) =>= complement (meet ?5796 ?5797) [5797, 5796] by Demod 4736 with 2653 at 1,3
% 123.42/31.23 Id : 5658, {_}: join ?5821 (complement ?5822) =<= complement (meet (complement ?5821) ?5822) [5822, 5821] by Super 5649 with 2687 at 1,2
% 123.42/31.23 Id : 98011, {_}: join ?79175 (complement (join ?79176 ?79175)) =>= complement (meet ?79176 (complement ?79175)) [79176, 79175] by Demod 98010 with 5658 at 2
% 123.42/31.23 Id : 175143, {_}: join ?134882 (complement (join ?134883 ?134882)) =>= join (complement ?134883) ?134882 [134883, 134882] by Demod 98011 with 5072 at 3
% 123.42/31.23 Id : 4086, {_}: join one (join ?4460 (complement (converse sk1))) =>= join ?4460 (join top one) [4460] by Super 30 with 4057 at 2,3
% 123.42/31.23 Id : 20739, {_}: join one (join ?15755 (complement (converse sk1))) =>= join ?15755 top [15755] by Demod 4086 with 10852 at 2,3
% 123.42/31.23 Id : 20750, {_}: join one (complement (meet ?15774 (converse sk1))) =>= join (complement ?15774) top [15774] by Super 20739 with 4737 at 2,2
% 123.42/31.23 Id : 20861, {_}: join one (complement (meet ?15774 (converse sk1))) =>= join top (complement ?15774) [15774] by Demod 20750 with 2 at 3
% 123.42/31.23 Id : 20862, {_}: join one (complement (meet ?15774 (converse sk1))) =>= complement (meet zero ?15774) [15774] by Demod 20861 with 5474 at 3
% 123.42/31.23 Id : 29590, {_}: join one (complement (meet ?15774 (converse sk1))) =>= complement zero [15774] by Demod 20862 with 25943 at 1,3
% 123.42/31.23 Id : 29591, {_}: join one (complement (meet ?15774 (converse sk1))) =>= top [15774] by Demod 29590 with 2689 at 3
% 123.42/31.23 Id : 29598, {_}: meet (meet ?21357 (converse sk1)) (complement one) =>= complement top [21357] by Super 5090 with 29591 at 1,3
% 123.42/31.23 Id : 29643, {_}: meet (complement one) (meet ?21357 (converse sk1)) =>= complement top [21357] by Demod 29598 with 61 at 2
% 123.42/31.23 Id : 29644, {_}: meet (complement one) (meet ?21357 (converse sk1)) =>= zero [21357] by Demod 29643 with 254 at 3
% 123.42/31.23 Id : 30929, {_}: meet ?22323 (converse sk1) =<= join zero (meet (meet ?22323 (converse sk1)) (complement (complement one))) [22323] by Super 5062 with 29644 at 1,3
% 123.42/31.23 Id : 30974, {_}: meet ?22323 (converse sk1) =<= meet (meet ?22323 (converse sk1)) (complement (complement one)) [22323] by Demod 30929 with 2653 at 3
% 123.42/31.23 Id : 30975, {_}: meet ?22323 (converse sk1) =<= meet (complement (complement one)) (meet ?22323 (converse sk1)) [22323] by Demod 30974 with 61 at 3
% 123.42/31.23 Id : 31021, {_}: meet ?22397 (converse sk1) =<= meet one (meet ?22397 (converse sk1)) [22397] by Demod 30975 with 2687 at 1,3
% 123.42/31.23 Id : 31027, {_}: meet top (converse sk1) =<= meet one (converse sk1) [] by Super 31021 with 2690 at 2,3
% 123.42/31.23 Id : 31059, {_}: converse sk1 =<= meet one (converse sk1) [] by Demod 31027 with 2690 at 2
% 123.42/31.23 Id : 31077, {_}: one =<= join (converse sk1) (meet one (complement (converse sk1))) [] by Super 5059 with 31059 at 1,3
% 123.42/31.23 Id : 32623, {_}: converse one =<= join sk1 (converse (meet one (complement (converse sk1)))) [] by Super 103 with 31077 at 1,2
% 123.42/31.23 Id : 32658, {_}: one =<= join sk1 (converse (meet one (complement (converse sk1)))) [] by Demod 32623 with 1200 at 2
% 123.42/31.23 Id : 99433, {_}: complement (converse (meet ?80058 one)) =<= join (meet one (complement (converse ?80058))) (meet (complement (converse (meet ?80058 one))) (complement one)) [80058] by Super 5062 with 98310 at 1,3
% 123.42/31.23 Id : 99531, {_}: complement (converse (meet ?80058 one)) =<= join (meet one (complement (converse ?80058))) (meet (complement one) (complement (converse (meet ?80058 one)))) [80058] by Demod 99433 with 61 at 2,3
% 123.42/31.23 Id : 99532, {_}: complement (converse (meet ?80058 one)) =<= join (meet one (complement (converse ?80058))) (complement (join one (converse (meet ?80058 one)))) [80058] by Demod 99531 with 5087 at 2,3
% 123.42/31.23 Id : 99533, {_}: complement (converse (meet ?80058 one)) =<= join (meet one (complement (converse ?80058))) (complement one) [80058] by Demod 99532 with 28560 at 1,2,3
% 123.42/31.23 Id : 99534, {_}: complement (converse (meet ?80058 one)) =<= join (complement one) (meet one (complement (converse ?80058))) [80058] by Demod 99533 with 2 at 3
% 123.42/31.23 Id : 41, {_}: join (complement ?109) ?110 =<= join (complement (join (complement (join (complement ?109) ?110)) (join (complement ?109) (complement ?110)))) (complement ?109) [110, 109] by Super 38 with 35 at 1,2,3
% 123.42/31.23 Id : 48, {_}: join (complement ?109) ?110 =<= join (complement ?109) (complement (join (complement (join (complement ?109) ?110)) (join (complement ?109) (complement ?110)))) [110, 109] by Demod 41 with 2 at 3
% 123.42/31.23 Id : 3239, {_}: join (complement ?109) ?110 =<= join (complement ?109) (complement (join (complement ?109) (join (complement ?110) (complement (join (complement ?109) ?110))))) [110, 109] by Demod 48 with 21 at 1,2,3
% 123.42/31.23 Id : 5063, {_}: join (complement ?109) ?110 =<= join (complement ?109) (meet ?109 (complement (join (complement ?110) (complement (join (complement ?109) ?110))))) [110, 109] by Demod 3239 with 4726 at 2,3
% 123.42/31.23 Id : 5064, {_}: join (complement ?109) ?110 =<= join (complement ?109) (meet ?109 (meet ?110 (complement (complement (join (complement ?109) ?110))))) [110, 109] by Demod 5063 with 4726 at 2,2,3
% 123.42/31.23 Id : 5065, {_}: join (complement ?109) ?110 =<= join (complement ?109) (meet ?109 (meet ?110 (complement (meet ?109 (complement ?110))))) [110, 109] by Demod 5064 with 4726 at 1,2,2,2,3
% 123.42/31.23 Id : 5848, {_}: join (complement ?109) ?110 =<= join (complement ?109) (meet ?109 (meet ?110 (join (complement ?109) ?110))) [110, 109] by Demod 5065 with 5072 at 2,2,2,3
% 123.42/31.23 Id : 29978, {_}: meet ?21552 (complement (meet (complement ?21552) ?21553)) =>= complement (complement ?21552) [21553, 21552] by Super 4726 with 26643 at 1,3
% 123.42/31.23 Id : 30034, {_}: meet ?21552 (join ?21552 (complement ?21553)) =>= complement (complement ?21552) [21553, 21552] by Demod 29978 with 5658 at 2,2
% 123.42/31.23 Id : 92233, {_}: meet ?74309 (join ?74309 (complement ?74310)) =>= ?74309 [74310, 74309] by Demod 30034 with 2687 at 3
% 123.42/31.23 Id : 92544, {_}: meet ?74563 (join ?74563 ?74564) =>= ?74563 [74564, 74563] by Super 92233 with 2687 at 2,2,2
% 123.42/31.23 Id : 92545, {_}: meet ?74566 (join ?74567 ?74566) =>= ?74566 [74567, 74566] by Super 92544 with 2 at 2,2
% 123.42/31.23 Id : 93670, {_}: join (complement ?109) ?110 =<= join (complement ?109) (meet ?109 ?110) [110, 109] by Demod 5848 with 92545 at 2,2,3
% 123.42/31.23 Id : 99535, {_}: complement (converse (meet ?80058 one)) =<= join (complement one) (complement (converse ?80058)) [80058] by Demod 99534 with 93670 at 3
% 123.42/31.23 Id : 99536, {_}: complement (converse (meet ?80058 one)) =>= complement (meet one (converse ?80058)) [80058] by Demod 99535 with 4737 at 3
% 123.42/31.23 Id : 99637, {_}: converse (meet ?80176 one) =<= complement (complement (meet one (converse ?80176))) [80176] by Super 2687 with 99536 at 1,3
% 123.42/31.23 Id : 99875, {_}: converse (meet ?80538 one) =>= meet one (converse ?80538) [80538] by Demod 99637 with 2687 at 3
% 123.42/31.23 Id : 99878, {_}: converse (meet one ?80544) =>= meet one (converse ?80544) [80544] by Super 99875 with 61 at 1,2
% 123.42/31.23 Id : 100103, {_}: one =<= join sk1 (meet one (converse (complement (converse sk1)))) [] by Demod 32658 with 99878 at 2,3
% 123.42/31.23 Id : 175341, {_}: join (meet one (converse (complement (converse sk1)))) (complement one) =>= join (complement sk1) (meet one (converse (complement (converse sk1)))) [] by Super 175143 with 100103 at 1,2,2
% 123.42/31.23 Id : 176141, {_}: join (complement one) (meet one (converse (complement (converse sk1)))) =<= join (complement sk1) (meet one (converse (complement (converse sk1)))) [] by Demod 175341 with 2 at 2
% 123.42/31.23 Id : 307, {_}: join one (join sk1 ?594) =>= join one ?594 [594] by Super 3 with 152 at 1,3
% 123.42/31.23 Id : 311, {_}: join one top =<= join one (complement sk1) [] by Super 307 with 13 at 2,2
% 123.42/31.23 Id : 326, {_}: join top one =<= join one (complement sk1) [] by Demod 311 with 2 at 2
% 123.42/31.23 Id : 332, {_}: join one (join (complement sk1) ?619) =>= join (join top one) ?619 [619] by Super 3 with 326 at 1,3
% 123.42/31.23 Id : 340, {_}: join one (join (complement sk1) ?619) =>= join top (join one ?619) [619] by Demod 332 with 3 at 3
% 123.42/31.23 Id : 10882, {_}: join top (join one ?10016) =>= join top ?10016 [10016] by Super 3 with 10852 at 1,3
% 123.42/31.23 Id : 11510, {_}: join one (join (complement sk1) ?619) =>= join top ?619 [619] by Demod 340 with 10882 at 3
% 123.42/31.23 Id : 26199, {_}: join one (join (complement sk1) ?619) =>= top [619] by Demod 11510 with 25957 at 3
% 123.42/31.23 Id : 59903, {_}: meet (complement one) top =<= meet (join (complement sk1) ?49512) (complement one) [49512] by Super 59877 with 26199 at 2,2
% 123.42/31.23 Id : 60076, {_}: meet top (complement one) =<= meet (join (complement sk1) ?49512) (complement one) [49512] by Demod 59903 with 61 at 2
% 123.42/31.23 Id : 60077, {_}: meet top (complement one) =<= meet (complement one) (join (complement sk1) ?49512) [49512] by Demod 60076 with 61 at 3
% 123.42/31.23 Id : 60078, {_}: complement one =<= meet (complement one) (join (complement sk1) ?49512) [49512] by Demod 60077 with 2690 at 2
% 123.42/31.23 Id : 81970, {_}: join (join (complement sk1) ?67097) (complement one) =>= join (complement sk1) ?67097 [67097] by Super 26782 with 60078 at 2,2
% 123.42/31.23 Id : 82090, {_}: join (complement one) (join (complement sk1) ?67097) =>= join (complement sk1) ?67097 [67097] by Demod 81970 with 2 at 2
% 123.42/31.23 Id : 135, {_}: join ?312 (join (complement ?312) ?313) =>= join top ?313 [313, 312] by Super 3 with 13 at 1,3
% 123.42/31.23 Id : 33344, {_}: join ?312 (join (complement ?312) ?313) =>= top [313, 312] by Demod 135 with 25957 at 3
% 123.42/31.23 Id : 33359, {_}: top =<= join ?24187 (complement (meet ?24187 ?24188)) [24188, 24187] by Super 5061 with 33344 at 2
% 123.42/31.23 Id : 105347, {_}: join (complement one) top =<= join (complement sk1) (complement (meet (complement sk1) ?84034)) [84034] by Super 82090 with 33359 at 2,2
% 123.42/31.23 Id : 105738, {_}: join top (complement one) =<= join (complement sk1) (complement (meet (complement sk1) ?84034)) [84034] by Demod 105347 with 2 at 2
% 123.42/31.23 Id : 105739, {_}: join top (complement one) =<= complement (meet sk1 (meet (complement sk1) ?84034)) [84034] by Demod 105738 with 4737 at 3
% 123.42/31.23 Id : 105740, {_}: top =<= complement (meet sk1 (meet (complement sk1) ?84034)) [84034] by Demod 105739 with 25957 at 2
% 123.42/31.23 Id : 105960, {_}: meet sk1 (meet (complement sk1) ?84461) =>= complement top [84461] by Super 2687 with 105740 at 1,3
% 123.42/31.23 Id : 106142, {_}: meet sk1 (meet (complement sk1) ?84596) =>= zero [84596] by Demod 105960 with 254 at 3
% 123.42/31.23 Id : 106516, {_}: meet sk1 (complement (join sk1 ?84798)) =>= zero [84798] by Super 106142 with 5087 at 2,2
% 123.42/31.23 Id : 1512, {_}: sk1 =<= join (meet sk1 one) (complement (join top one)) [] by Super 1501 with 326 at 1,2,3
% 123.42/31.23 Id : 19089, {_}: sk1 =<= join (meet one sk1) (complement (join top one)) [] by Demod 1512 with 61 at 1,3
% 123.42/31.23 Id : 19090, {_}: sk1 =<= join (meet one sk1) (meet zero (complement one)) [] by Demod 19089 with 5088 at 2,3
% 123.42/31.23 Id : 10891, {_}: meet zero (complement one) =>= complement top [] by Super 5088 with 10852 at 1,3
% 123.42/31.23 Id : 10909, {_}: meet zero (complement one) =>= zero [] by Demod 10891 with 254 at 3
% 123.42/31.23 Id : 19091, {_}: sk1 =<= join (meet one sk1) zero [] by Demod 19090 with 10909 at 2,3
% 123.42/31.23 Id : 19092, {_}: sk1 =<= join zero (meet one sk1) [] by Demod 19091 with 2 at 3
% 123.42/31.23 Id : 19093, {_}: sk1 =<= meet one sk1 [] by Demod 19092 with 2653 at 3
% 123.42/31.23 Id : 19098, {_}: join sk1 (join ?14822 (meet one (complement sk1))) =>= join one ?14822 [14822] by Super 5061 with 19093 at 1,2
% 123.42/31.23 Id : 106951, {_}: meet sk1 (complement (join one ?85033)) =>= zero [85033] by Super 106516 with 19098 at 1,2,2
% 123.42/31.23 Id : 107070, {_}: meet sk1 (meet ?85223 (complement one)) =>= zero [85223] by Super 106951 with 5090 at 2,2
% 123.42/31.23 Id : 107613, {_}: join (complement sk1) (meet ?85389 (complement one)) =>= join (complement sk1) zero [85389] by Super 93670 with 107070 at 2,3
% 123.42/31.23 Id : 107643, {_}: join (complement sk1) (meet ?85389 (complement one)) =>= join zero (complement sk1) [85389] by Demod 107613 with 2 at 3
% 123.42/31.23 Id : 107644, {_}: join (complement sk1) (meet ?85389 (complement one)) =>= complement sk1 [85389] by Demod 107643 with 2653 at 3
% 123.42/31.23 Id : 108045, {_}: join (meet ?85610 one) (complement sk1) =>= join ?85610 (complement sk1) [85610] by Super 5061 with 107644 at 2,2
% 123.42/31.23 Id : 108188, {_}: join (complement sk1) (meet ?85725 one) =>= join ?85725 (complement sk1) [85725] by Demod 108045 with 2 at 2
% 123.42/31.23 Id : 108191, {_}: join (complement sk1) (meet one ?85731) =>= join ?85731 (complement sk1) [85731] by Super 108188 with 61 at 2,2
% 123.42/31.23 Id : 176142, {_}: join (complement one) (meet one (converse (complement (converse sk1)))) =>= join (converse (complement (converse sk1))) (complement sk1) [] by Demod 176141 with 108191 at 3
% 123.42/31.23 Id : 176143, {_}: join (complement one) (converse (complement (converse sk1))) =<= join (converse (complement (converse sk1))) (complement sk1) [] by Demod 176142 with 93670 at 2
% 123.42/31.23 Id : 176144, {_}: join (complement one) (converse (complement (converse sk1))) =<= join (complement sk1) (converse (complement (converse sk1))) [] by Demod 176143 with 2 at 3
% 123.42/31.23 Id : 176145, {_}: converse (complement (meet one (converse sk1))) =<= join (complement sk1) (converse (complement (converse sk1))) [] by Demod 176144 with 57673 at 2
% 123.42/31.23 Id : 176146, {_}: converse (complement (converse sk1)) =<= join (complement sk1) (converse (complement (converse sk1))) [] by Demod 176145 with 31059 at 1,1,2
% 123.42/31.23 Id : 176834, {_}: meet sk1 (complement (converse (complement (converse sk1)))) =>= complement (converse (complement (converse sk1))) [] by Super 4726 with 176146 at 1,3
% 123.42/31.24 Id : 177141, {_}: meet one (complement (converse (complement (complement (converse (complement (converse sk1))))))) =<= complement (converse (complement (meet sk1 (complement (converse (complement (converse sk1))))))) [] by Super 83882 with 176834 at 1,1,1,2,2
% 123.42/31.24 Id : 177170, {_}: meet one (complement (converse (converse (complement (converse sk1))))) =<= complement (converse (complement (meet sk1 (complement (converse (complement (converse sk1))))))) [] by Demod 177141 with 2687 at 1,1,2,2
% 123.42/31.24 Id : 177171, {_}: meet one (complement (converse (converse (complement (converse sk1))))) =<= complement (converse (join (complement sk1) (converse (complement (converse sk1))))) [] by Demod 177170 with 5072 at 1,1,3
% 123.42/31.24 Id : 177172, {_}: meet one (complement (complement (converse sk1))) =<= complement (converse (join (complement sk1) (converse (complement (converse sk1))))) [] by Demod 177171 with 9 at 1,2,2
% 123.42/31.24 Id : 177173, {_}: meet one (complement (complement (converse sk1))) =<= complement (join (converse (complement sk1)) (complement (converse sk1))) [] by Demod 177172 with 102 at 1,3
% 123.42/31.24 Id : 177174, {_}: meet one (converse sk1) =<= complement (join (converse (complement sk1)) (complement (converse sk1))) [] by Demod 177173 with 2687 at 2,2
% 123.42/31.24 Id : 177175, {_}: meet one (converse sk1) =<= meet (converse sk1) (complement (converse (complement sk1))) [] by Demod 177174 with 5090 at 3
% 123.42/31.24 Id : 177176, {_}: converse sk1 =<= meet (converse sk1) (complement (converse (complement sk1))) [] by Demod 177175 with 31059 at 2
% 123.42/31.24 Id : 177595, {_}: complement (converse (complement sk1)) =<= join (converse sk1) (meet (complement (converse (complement sk1))) (complement (converse sk1))) [] by Super 5062 with 177176 at 1,3
% 123.42/31.24 Id : 177663, {_}: complement (converse (complement sk1)) =<= join (converse sk1) (meet (complement (converse sk1)) (complement (converse (complement sk1)))) [] by Demod 177595 with 61 at 2,3
% 123.42/31.24 Id : 177664, {_}: complement (converse (complement sk1)) =<= join (converse sk1) (complement (join (converse sk1) (converse (complement sk1)))) [] by Demod 177663 with 5087 at 2,3
% 123.42/31.24 Id : 177665, {_}: complement (converse (complement sk1)) =<= join (converse sk1) (complement (converse (join sk1 (complement sk1)))) [] by Demod 177664 with 10 at 1,2,3
% 123.42/31.24 Id : 177666, {_}: complement (converse (complement sk1)) =<= join (converse sk1) (complement (converse top)) [] by Demod 177665 with 13 at 1,1,2,3
% 123.42/31.24 Id : 177667, {_}: complement (converse (complement sk1)) =<= join (converse sk1) (complement top) [] by Demod 177666 with 9336 at 1,2,3
% 123.42/31.24 Id : 177668, {_}: complement (converse (complement sk1)) =<= join (complement top) (converse sk1) [] by Demod 177667 with 2 at 3
% 123.42/31.24 Id : 177669, {_}: complement (converse (complement sk1)) =<= join zero (converse sk1) [] by Demod 177668 with 254 at 1,3
% 123.42/31.24 Id : 177670, {_}: complement (converse (complement sk1)) =>= converse sk1 [] by Demod 177669 with 2653 at 3
% 123.42/31.24 Id : 177759, {_}: converse (complement sk1) =>= complement (converse sk1) [] by Super 2687 with 177670 at 1,3
% 123.42/31.24 Id : 177920, {_}: converse (composition (complement sk1) ?136564) =<= composition (converse ?136564) (complement (converse sk1)) [136564] by Super 11 with 177759 at 2,3
% 123.42/31.24 Id : 225734, {_}: zero =<= meet one (converse (composition (complement sk1) (converse sk1))) [] by Super 225580 with 177920 at 2,3
% 123.42/31.24 Id : 226021, {_}: zero =<= meet one (composition sk1 (converse (complement sk1))) [] by Demod 225734 with 116 at 2,3
% 123.42/31.24 Id : 226022, {_}: zero =<= meet one (composition sk1 (complement (converse sk1))) [] by Demod 226021 with 177759 at 2,2,3
% 123.42/31.24 Id : 226517, {_}: meet (composition sk1 (complement (converse sk1))) (complement zero) =?= meet (composition sk1 (complement (converse sk1))) (complement one) [] by Super 97970 with 226022 at 1,2,2
% 123.42/31.24 Id : 226566, {_}: meet (complement zero) (composition sk1 (complement (converse sk1))) =<= meet (composition sk1 (complement (converse sk1))) (complement one) [] by Demod 226517 with 61 at 2
% 123.42/31.24 Id : 226567, {_}: meet (complement zero) (composition sk1 (complement (converse sk1))) =<= meet (complement one) (composition sk1 (complement (converse sk1))) [] by Demod 226566 with 61 at 3
% 123.42/31.24 Id : 226568, {_}: meet top (composition sk1 (complement (converse sk1))) =<= meet (complement one) (composition sk1 (complement (converse sk1))) [] by Demod 226567 with 2689 at 1,2
% 123.42/31.24 Id : 226569, {_}: composition sk1 (complement (converse sk1)) =<= meet (complement one) (composition sk1 (complement (converse sk1))) [] by Demod 226568 with 2690 at 2
% 123.42/31.24 Id : 320595, {_}: meet (complement one) (composition sk1 top) =>= composition sk1 (complement (converse sk1)) [] by Demod 320594 with 226569 at 3
% 123.42/31.24 Id : 320965, {_}: composition sk1 (complement (converse sk1)) =<= meet (complement one) (composition sk1 (complement one)) [] by Demod 294289 with 320595 at 2
% 123.42/31.24 Id : 330643, {_}: meet top (composition sk1 (complement one)) =>= composition sk1 (complement (converse sk1)) [] by Demod 330642 with 320965 at 3
% 123.42/31.24 Id : 330644, {_}: composition sk1 (complement one) =<= composition sk1 (complement (converse sk1)) [] by Demod 330643 with 2690 at 2
% 123.42/31.24 Id : 330862, {_}: composition (join (converse (complement (converse sk1))) ?233703) (converse sk1) =<= join (converse (composition sk1 (complement one))) (composition ?233703 (converse sk1)) [233703] by Super 113 with 330644 at 1,1,3
% 123.42/31.24 Id : 177919, {_}: converse (complement (converse sk1)) =>= complement sk1 [] by Super 9 with 177759 at 1,2
% 123.42/31.24 Id : 330875, {_}: composition (join (complement sk1) ?233703) (converse sk1) =<= join (converse (composition sk1 (complement one))) (composition ?233703 (converse sk1)) [233703] by Demod 330862 with 177919 at 1,1,2
% 123.42/31.24 Id : 330876, {_}: composition (join (complement sk1) ?233703) (converse sk1) =<= composition (join (converse (complement one)) ?233703) (converse sk1) [233703] by Demod 330875 with 113 at 3
% 123.42/31.24 Id : 370851, {_}: composition (join (complement sk1) ?251771) (converse sk1) =>= composition (join (complement one) ?251771) (converse sk1) [251771] by Demod 330876 with 57130 at 1,1,3
% 123.42/31.24 Id : 6029, {_}: join ?6244 (join ?6245 ?6244) =>= join ?6245 ?6244 [6245, 6244] by Super 30 with 5930 at 2,3
% 123.42/31.24 Id : 30598, {_}: join ?22111 (meet ?22112 ?22111) =>= ?22111 [22112, 22111] by Demod 26781 with 5062 at 3
% 123.42/31.24 Id : 5638, {_}: join one (complement (meet sk1 ?5761)) =>= join top (join one (complement ?5761)) [5761] by Super 340 with 4737 at 2,2
% 123.42/31.24 Id : 7635, {_}: meet (meet sk1 ?7615) (complement one) =<= complement (join top (join one (complement ?7615))) [7615] by Super 5090 with 5638 at 1,3
% 123.42/31.24 Id : 7665, {_}: meet (meet sk1 ?7615) (complement one) =<= meet zero (complement (join one (complement ?7615))) [7615] by Demod 7635 with 5088 at 3
% 123.42/31.24 Id : 7666, {_}: meet (meet sk1 ?7615) (complement one) =>= meet zero (meet ?7615 (complement one)) [7615] by Demod 7665 with 5090 at 2,3
% 123.42/31.24 Id : 55, {_}: meet (join (complement ?137) (complement ?138)) ?139 =<= complement (join (meet ?137 ?138) (complement ?139)) [139, 138, 137] by Super 53 with 5 at 1,1,3
% 123.42/31.24 Id : 5955, {_}: meet (complement (meet ?6153 ?6154)) ?6155 =<= complement (join (meet ?6153 ?6154) (complement ?6155)) [6155, 6154, 6153] by Demod 55 with 4737 at 1,2
% 123.42/31.24 Id : 5964, {_}: meet (complement (meet top ?6191)) ?6192 =>= complement (join ?6191 (complement ?6192)) [6192, 6191] by Super 5955 with 2690 at 1,1,3
% 123.42/31.24 Id : 5995, {_}: meet (complement ?6191) ?6192 =<= complement (join ?6191 (complement ?6192)) [6192, 6191] by Demod 5964 with 2690 at 1,1,2
% 123.42/31.24 Id : 7978, {_}: meet (complement ?6191) ?6192 =?= meet ?6192 (complement ?6191) [6192, 6191] by Demod 5995 with 5090 at 3
% 123.42/31.24 Id : 8256, {_}: meet (complement one) (meet sk1 ?7615) =>= meet zero (meet ?7615 (complement one)) [7615] by Demod 7666 with 7978 at 2
% 123.42/31.24 Id : 10879, {_}: join top (join ?10011 one) =>= join ?10011 top [10011] by Super 30 with 10852 at 2,3
% 123.42/31.24 Id : 11406, {_}: meet zero (complement (join ?10256 one)) =>= complement (join ?10256 top) [10256] by Super 5088 with 10879 at 1,3
% 123.42/31.24 Id : 5173, {_}: meet zero (complement ?5381) =<= complement (join top ?5381) [5381] by Super 5085 with 2689 at 1,1,3
% 123.42/31.24 Id : 5176, {_}: meet zero (complement ?5387) =<= complement (join ?5387 top) [5387] by Super 5173 with 2 at 1,3
% 123.42/31.24 Id : 14148, {_}: meet zero (complement (join ?11939 one)) =>= meet zero (complement ?11939) [11939] by Demod 11406 with 5176 at 3
% 123.42/31.24 Id : 14163, {_}: meet zero (meet ?11963 (complement one)) =>= meet zero (complement (complement ?11963)) [11963] by Super 14148 with 4726 at 2,2
% 123.42/31.24 Id : 14266, {_}: meet zero (meet ?11963 (complement one)) =>= meet zero ?11963 [11963] by Demod 14163 with 2687 at 2,3
% 123.42/31.24 Id : 16651, {_}: meet (complement one) (meet sk1 ?7615) =>= meet zero ?7615 [7615] by Demod 8256 with 14266 at 3
% 123.42/31.24 Id : 26064, {_}: meet (complement one) (meet sk1 ?7615) =>= zero [7615] by Demod 16651 with 25943 at 3
% 123.42/31.24 Id : 30608, {_}: join (meet sk1 ?22131) zero =>= meet sk1 ?22131 [22131] by Super 30598 with 26064 at 2,2
% 123.42/31.24 Id : 30685, {_}: join zero (meet sk1 ?22131) =>= meet sk1 ?22131 [22131] by Demod 30608 with 2 at 2
% 123.42/31.24 Id : 30686, {_}: meet sk1 ?22131 =?= meet sk1 ?22131 [22131] by Demod 30685 with 2653 at 2
% 123.42/31.24 Id : 32038, {_}: join (meet sk1 ?23300) (join ?23301 (meet sk1 (complement ?23300))) =>= join sk1 ?23301 [23301, 23300] by Super 5061 with 30686 at 2,2,2
% 123.42/31.24 Id : 32171, {_}: join sk1 ?23301 =?= join sk1 ?23301 [23301] by Demod 32038 with 5061 at 2
% 123.42/31.24 Id : 32705, {_}: join sk1 (join ?23706 sk1) =>= join ?23706 sk1 [23706] by Super 6029 with 32171 at 2
% 123.42/31.24 Id : 32944, {_}: join ?23706 sk1 =?= join ?23706 sk1 [23706] by Demod 32705 with 6029 at 2
% 123.42/31.24 Id : 370873, {_}: composition (join (complement sk1) sk1) (converse sk1) =>= composition (join (complement one) sk1) (converse sk1) [] by Super 370851 with 32944 at 1,2
% 123.42/31.24 Id : 76, {_}: join (composition ?176 ?177) (composition ?178 ?177) =>= composition (join ?178 ?176) ?177 [178, 177, 176] by Super 2 with 8 at 3
% 123.42/31.24 Id : 87, {_}: composition (join ?176 ?178) ?177 =?= composition (join ?178 ?176) ?177 [177, 178, 176] by Demod 76 with 8 at 2
% 123.42/31.24 Id : 371001, {_}: composition (join sk1 (complement sk1)) (converse sk1) =<= composition (join (complement one) sk1) (converse sk1) [] by Demod 370873 with 87 at 2
% 123.42/31.24 Id : 371002, {_}: composition (join sk1 (complement sk1)) (converse sk1) =?= composition (join sk1 (complement one)) (converse sk1) [] by Demod 371001 with 87 at 3
% 123.42/31.24 Id : 371003, {_}: composition top (converse sk1) =<= composition (join sk1 (complement one)) (converse sk1) [] by Demod 371002 with 13 at 1,2
% 123.42/31.24 Id : 371200, {_}: composition (join sk1 (complement one)) (join one (converse sk1)) =<= join (join sk1 (complement one)) (composition top (converse sk1)) [] by Super 280732 with 371003 at 2,3
% 123.42/31.24 Id : 371227, {_}: composition (join sk1 (complement one)) one =<= join (join sk1 (complement one)) (composition top (converse sk1)) [] by Demod 371200 with 1298 at 2,2
% 123.42/31.24 Id : 371228, {_}: composition (join sk1 (complement one)) one =<= join (composition top (converse sk1)) (join sk1 (complement one)) [] by Demod 371227 with 2 at 3
% 123.42/31.24 Id : 371229, {_}: join sk1 (complement one) =<= join (composition top (converse sk1)) (join sk1 (complement one)) [] by Demod 371228 with 7 at 2
% 123.42/31.24 Id : 371230, {_}: join sk1 (complement one) =<= join sk1 (join (complement one) (composition top (converse sk1))) [] by Demod 371229 with 21 at 3
% 123.42/31.24 Id : 59383, {_}: converse (join ?49276 (complement one)) =>= join (complement one) (converse ?49276) [49276] by Demod 57208 with 2 at 3
% 123.42/31.24 Id : 59391, {_}: converse (complement (meet ?49290 one)) =<= join (complement one) (converse (complement ?49290)) [49290] by Super 59383 with 4737 at 1,2
% 123.42/31.24 Id : 61067, {_}: converse (complement (meet ?49290 one)) =?= converse (complement (meet one ?49290)) [49290] by Demod 59391 with 57673 at 3
% 123.42/31.24 Id : 56323, {_}: join one (complement (join sk1 ?46674)) =?= join one (complement (join one ?46674)) [46674] by Super 56316 with 153 at 1,2,3
% 123.42/31.24 Id : 60322, {_}: join one (complement (join sk1 ?49707)) =>= join one (complement ?49707) [49707] by Demod 56323 with 56020 at 3
% 123.42/31.24 Id : 60355, {_}: join one (meet ?49767 (complement sk1)) =>= join one (complement (complement ?49767)) [49767] by Super 60322 with 5090 at 2,2
% 123.42/31.24 Id : 60483, {_}: join one (meet ?49767 (complement sk1)) =>= join one ?49767 [49767] by Demod 60355 with 2687 at 2,3
% 123.42/31.24 Id : 62254, {_}: meet (complement one) (join one ?51020) =<= meet (meet ?51020 (complement sk1)) (complement one) [51020] by Super 56435 with 60483 at 2,2
% 123.42/31.24 Id : 62280, {_}: meet ?51020 (complement one) =<= meet (meet ?51020 (complement sk1)) (complement one) [51020] by Demod 62254 with 56435 at 2
% 123.42/31.24 Id : 62281, {_}: meet ?51020 (complement one) =<= meet (complement one) (meet ?51020 (complement sk1)) [51020] by Demod 62280 with 61 at 3
% 123.42/31.24 Id : 97903, {_}: join (complement (meet ?79285 (complement sk1))) (meet ?79285 (complement one)) =>= join (complement one) (complement (meet ?79285 (complement sk1))) [79285] by Super 97842 with 62281 at 2,2
% 123.42/31.24 Id : 98172, {_}: join (meet ?79285 (complement one)) (complement (meet ?79285 (complement sk1))) =>= join (complement one) (complement (meet ?79285 (complement sk1))) [79285] by Demod 97903 with 2 at 2
% 123.42/31.24 Id : 98173, {_}: join (meet ?79285 (complement one)) (complement (meet ?79285 (complement sk1))) =>= complement (meet one (meet ?79285 (complement sk1))) [79285] by Demod 98172 with 4737 at 3
% 123.42/31.24 Id : 98174, {_}: join (meet ?79285 (complement one)) (join (complement ?79285) sk1) =>= complement (meet one (meet ?79285 (complement sk1))) [79285] by Demod 98173 with 5072 at 2,2
% 123.42/31.24 Id : 98175, {_}: join (complement ?79285) (join sk1 (meet ?79285 (complement one))) =>= complement (meet one (meet ?79285 (complement sk1))) [79285] by Demod 98174 with 21 at 2
% 123.42/31.24 Id : 98176, {_}: join sk1 (join (meet ?79285 (complement one)) (complement ?79285)) =>= complement (meet one (meet ?79285 (complement sk1))) [79285] by Demod 98175 with 21 at 2
% 123.42/31.24 Id : 98177, {_}: join sk1 (join (complement ?79285) (meet ?79285 (complement one))) =>= complement (meet one (meet ?79285 (complement sk1))) [79285] by Demod 98176 with 2 at 2,2
% 123.42/31.24 Id : 98178, {_}: join sk1 (join (complement ?79285) (complement one)) =>= complement (meet one (meet ?79285 (complement sk1))) [79285] by Demod 98177 with 93670 at 2,2
% 123.42/31.24 Id : 98179, {_}: join sk1 (complement (meet ?79285 one)) =<= complement (meet one (meet ?79285 (complement sk1))) [79285] by Demod 98178 with 4737 at 2,2
% 123.42/31.24 Id : 98403, {_}: meet one (meet ?79495 (complement sk1)) =<= complement (join sk1 (complement (meet ?79495 one))) [79495] by Super 2687 with 98179 at 1,3
% 123.42/31.24 Id : 98469, {_}: meet one (meet ?79495 (complement sk1)) =<= meet (meet ?79495 one) (complement sk1) [79495] by Demod 98403 with 5090 at 3
% 123.42/31.24 Id : 98570, {_}: meet one (meet ?79615 (complement sk1)) =<= meet (complement sk1) (meet ?79615 one) [79615] by Demod 98469 with 61 at 3
% 123.42/31.24 Id : 98682, {_}: meet one (meet ?79688 (complement sk1)) =<= meet (complement sk1) (meet one ?79688) [79688] by Super 98570 with 61 at 2,3
% 123.42/31.24 Id : 92240, {_}: meet ?74326 (join ?74326 ?74327) =>= ?74326 [74327, 74326] by Super 92233 with 2687 at 2,2,2
% 123.42/31.24 Id : 98698, {_}: meet one (meet (join one ?79711) (complement sk1)) =>= meet (complement sk1) one [79711] by Super 98682 with 92240 at 2,3
% 123.42/31.24 Id : 98822, {_}: meet one (meet (complement sk1) (join one ?79711)) =>= meet (complement sk1) one [79711] by Demod 98698 with 61 at 2,2
% 123.42/31.24 Id : 98823, {_}: meet one (meet (complement sk1) (join one ?79711)) =>= meet one (complement sk1) [79711] by Demod 98822 with 61 at 3
% 123.42/31.24 Id : 175144, {_}: join ?134885 (complement (join ?134885 ?134886)) =>= join (complement ?134886) ?134885 [134886, 134885] by Super 175143 with 2 at 1,2,2
% 123.42/31.24 Id : 320466, {_}: join one (complement (join one (composition sk1 top))) =<= join (complement (composition sk1 (complement (converse sk1)))) one [] by Super 175144 with 315737 at 1,2,2
% 123.42/31.24 Id : 320491, {_}: join (complement (composition sk1 top)) one =<= join (complement (composition sk1 (complement (converse sk1)))) one [] by Demod 320466 with 175144 at 2
% 123.42/31.24 Id : 320492, {_}: join (complement (composition sk1 top)) one =<= join one (complement (composition sk1 (complement (converse sk1)))) [] by Demod 320491 with 2 at 3
% 123.42/31.24 Id : 320493, {_}: join one (complement (composition sk1 top)) =<= join one (complement (composition sk1 (complement (converse sk1)))) [] by Demod 320492 with 2 at 2
% 123.42/31.24 Id : 226490, {_}: join (complement (composition sk1 (complement (converse sk1)))) zero =>= join one (complement (composition sk1 (complement (converse sk1)))) [] by Super 30640 with 226022 at 2,2
% 123.42/31.24 Id : 226653, {_}: join zero (complement (composition sk1 (complement (converse sk1)))) =<= join one (complement (composition sk1 (complement (converse sk1)))) [] by Demod 226490 with 2 at 2
% 123.42/31.24 Id : 226654, {_}: complement (composition sk1 (complement (converse sk1))) =<= join one (complement (composition sk1 (complement (converse sk1)))) [] by Demod 226653 with 2653 at 2
% 123.42/31.24 Id : 320494, {_}: join one (complement (composition sk1 top)) =>= complement (composition sk1 (complement (converse sk1))) [] by Demod 320493 with 226654 at 3
% 123.42/31.24 Id : 320684, {_}: meet one (meet (complement sk1) (complement (composition sk1 (complement (converse sk1))))) =>= meet one (complement sk1) [] by Super 98823 with 320494 at 2,2,2
% 123.42/31.24 Id : 320906, {_}: meet one (complement (join sk1 (composition sk1 (complement (converse sk1))))) =>= meet one (complement sk1) [] by Demod 320684 with 5087 at 2,2
% 123.42/31.24 Id : 320907, {_}: meet one (complement (composition sk1 (join one (complement (converse sk1))))) =>= meet one (complement sk1) [] by Demod 320906 with 280732 at 1,2,2
% 123.42/31.24 Id : 320908, {_}: meet one (complement (composition sk1 top)) =>= meet one (complement sk1) [] by Demod 320907 with 10877 at 2,1,2,2
% 123.42/31.24 Id : 321098, {_}: converse (complement (meet (complement (composition sk1 top)) one)) =>= converse (complement (meet one (complement sk1))) [] by Super 61067 with 320908 at 1,1,2
% 123.42/31.24 Id : 321260, {_}: converse (complement (meet one (complement (composition sk1 top)))) =>= converse (complement (meet one (complement sk1))) [] by Demod 321098 with 61067 at 2
% 123.42/31.24 Id : 321261, {_}: converse (complement (meet one (complement (composition sk1 top)))) =>= converse (join (complement one) sk1) [] by Demod 321260 with 5072 at 1,3
% 123.42/31.24 Id : 321262, {_}: converse (join (complement one) (composition sk1 top)) =>= converse (join (complement one) sk1) [] by Demod 321261 with 5072 at 1,2
% 123.42/31.24 Id : 321263, {_}: converse (join (complement one) (composition sk1 top)) =>= converse (join sk1 (complement one)) [] by Demod 321262 with 107 at 3
% 123.42/31.24 Id : 321264, {_}: join (complement one) (converse (composition sk1 top)) =>= converse (join sk1 (complement one)) [] by Demod 321263 with 57201 at 2
% 123.42/31.24 Id : 321265, {_}: join (complement one) (converse (composition sk1 top)) =>= join (complement one) (converse sk1) [] by Demod 321264 with 57265 at 3
% 123.42/31.24 Id : 9370, {_}: converse (composition ?8962 top) =>= composition top (converse ?8962) [8962] by Super 11 with 9336 at 1,3
% 123.42/31.24 Id : 321266, {_}: join (complement one) (composition top (converse sk1)) =>= join (complement one) (converse sk1) [] by Demod 321265 with 9370 at 2,2
% 123.42/31.24 Id : 371231, {_}: join sk1 (complement one) =<= join sk1 (join (complement one) (converse sk1)) [] by Demod 371230 with 321266 at 2,3
% 123.42/31.24 Id : 371303, {_}: converse (join (join (complement one) (converse sk1)) sk1) =>= converse (join sk1 (complement one)) [] by Super 107 with 371231 at 1,2
% 123.42/31.24 Id : 371495, {_}: converse (join sk1 (join (complement one) (converse sk1))) =>= converse (join sk1 (complement one)) [] by Demod 371303 with 107 at 2
% 123.42/31.24 Id : 371496, {_}: converse (join sk1 (join (complement one) (converse sk1))) =>= join (complement one) (converse sk1) [] by Demod 371495 with 57265 at 3
% 123.42/31.24 Id : 57669, {_}: converse (join ?47641 (join (complement one) ?47642)) =>= join (complement one) (converse (join ?47641 ?47642)) [47642, 47641] by Super 57662 with 30 at 1,2
% 123.42/31.24 Id : 371497, {_}: join (complement one) (converse (join sk1 (converse sk1))) =>= join (complement one) (converse sk1) [] by Demod 371496 with 57669 at 2
% 123.42/31.24 Id : 371498, {_}: join (complement one) (join (converse sk1) sk1) =>= join (complement one) (converse sk1) [] by Demod 371497 with 102 at 2,2
% 123.42/31.24 Id : 371499, {_}: join sk1 (join (complement one) (converse sk1)) =>= join (complement one) (converse sk1) [] by Demod 371498 with 21 at 2
% 123.42/31.24 Id : 371500, {_}: join sk1 (complement one) =<= join (complement one) (converse sk1) [] by Demod 371499 with 371231 at 2
% 123.42/31.24 Id : 371573, {_}: meet one (join sk1 (complement one)) =>= meet one (converse sk1) [] by Super 101902 with 371500 at 2,2
% 123.42/31.24 Id : 174235, {_}: meet ?134550 (join ?134551 (complement ?134550)) =>= meet ?134550 (complement (complement ?134551)) [134551, 134550] by Super 174101 with 5658 at 2,2
% 123.42/31.24 Id : 175002, {_}: meet ?134550 (join ?134551 (complement ?134550)) =>= meet ?134550 ?134551 [134551, 134550] by Demod 174235 with 2687 at 2,3
% 123.42/31.24 Id : 371729, {_}: meet one sk1 =<= meet one (converse sk1) [] by Demod 371573 with 175002 at 2
% 123.42/31.24 Id : 371730, {_}: meet one sk1 =>= converse sk1 [] by Demod 371729 with 31059 at 3
% 123.42/31.24 Id : 371731, {_}: sk1 =<= converse sk1 [] by Demod 371730 with 19093 at 2
% 123.42/31.24 Id : 372739, {_}: sk1 =?= sk1 [] by Demod 1 with 371731 at 2
% 123.42/31.24 Id : 1, {_}: converse sk1 =>= sk1 [] by goals_15
% 123.42/31.24 % SZS output end CNFRefutation for theBenchmark.p
% 123.42/31.24 27296: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 30.856365 using kbo
%------------------------------------------------------------------------------