TSTP Solution File: REL027-1 by Matita---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : REL027-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n024.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 19:42:21 EDT 2022
% Result : Unsatisfiable 176.30s 44.38s
% Output : CNFRefutation 176.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : REL027-1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Fri Jul 8 09:54:14 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.33 28373: Facts:
% 0.13/0.33 28373: Id : 2, {_}:
% 0.13/0.33 join ?2 ?3 =?= join ?3 ?2
% 0.13/0.33 [3, 2] by maddux1_join_commutativity_1 ?2 ?3
% 0.13/0.34 28373: Id : 3, {_}:
% 0.13/0.34 join ?5 (join ?6 ?7) =?= join (join ?5 ?6) ?7
% 0.13/0.34 [7, 6, 5] by maddux2_join_associativity_2 ?5 ?6 ?7
% 0.13/0.34 28373: Id : 4, {_}:
% 0.13/0.34 ?9
% 0.13/0.34 =<=
% 0.13/0.34 join (complement (join (complement ?9) (complement ?10)))
% 0.13/0.34 (complement (join (complement ?9) ?10))
% 0.13/0.34 [10, 9] by maddux3_a_kind_of_de_Morgan_3 ?9 ?10
% 0.13/0.34 28373: Id : 5, {_}:
% 0.13/0.34 meet ?12 ?13 =<= complement (join (complement ?12) (complement ?13))
% 0.13/0.34 [13, 12] by maddux4_definiton_of_meet_4 ?12 ?13
% 0.13/0.34 28373: Id : 6, {_}:
% 0.13/0.34 composition ?15 (composition ?16 ?17)
% 0.13/0.34 =?=
% 0.13/0.34 composition (composition ?15 ?16) ?17
% 0.13/0.34 [17, 16, 15] by composition_associativity_5 ?15 ?16 ?17
% 0.13/0.34 28373: Id : 7, {_}: composition ?19 one =>= ?19 [19] by composition_identity_6 ?19
% 0.13/0.34 28373: Id : 8, {_}:
% 0.13/0.34 composition (join ?21 ?22) ?23
% 0.13/0.34 =<=
% 0.13/0.34 join (composition ?21 ?23) (composition ?22 ?23)
% 0.13/0.34 [23, 22, 21] by composition_distributivity_7 ?21 ?22 ?23
% 0.13/0.34 28373: Id : 9, {_}:
% 0.13/0.34 converse (converse ?25) =>= ?25
% 0.13/0.34 [25] by converse_idempotence_8 ?25
% 0.13/0.34 28373: Id : 10, {_}:
% 0.13/0.34 converse (join ?27 ?28) =<= join (converse ?27) (converse ?28)
% 0.13/0.34 [28, 27] by converse_additivity_9 ?27 ?28
% 0.13/0.34 28373: Id : 11, {_}:
% 0.13/0.34 converse (composition ?30 ?31)
% 0.13/0.34 =<=
% 0.13/0.34 composition (converse ?31) (converse ?30)
% 0.13/0.34 [31, 30] by converse_multiplicativity_10 ?30 ?31
% 0.13/0.34 28373: Id : 12, {_}:
% 0.13/0.34 join (composition (converse ?33) (complement (composition ?33 ?34)))
% 0.13/0.34 (complement ?34)
% 0.13/0.34 =>=
% 0.13/0.34 complement ?34
% 0.13/0.34 [34, 33] by converse_cancellativity_11 ?33 ?34
% 0.13/0.34 28373: Id : 13, {_}: top =<= join ?36 (complement ?36) [36] by def_top_12 ?36
% 0.13/0.34 28373: Id : 14, {_}: zero =<= meet ?38 (complement ?38) [38] by def_zero_13 ?38
% 0.13/0.34 28373: Id : 15, {_}: join sk1 one =>= one [] by goals_14
% 0.13/0.34 28373: Goal:
% 0.13/0.34 28373: Id : 1, {_}:
% 0.13/0.34 meet (complement (composition sk1 top)) one
% 0.13/0.34 =>=
% 0.13/0.34 meet (complement sk1) one
% 0.13/0.34 [] by goals_15
% 176.30/44.38 Statistics :
% 176.30/44.38 Max weight : 22
% 176.30/44.38 Found proof, 44.044575s
% 176.30/44.38 % SZS status Unsatisfiable for theBenchmark.p
% 176.30/44.38 % SZS output start CNFRefutation for theBenchmark.p
% 176.30/44.38 Id : 8, {_}: composition (join ?21 ?22) ?23 =<= join (composition ?21 ?23) (composition ?22 ?23) [23, 22, 21] by composition_distributivity_7 ?21 ?22 ?23
% 176.30/44.38 Id : 11, {_}: converse (composition ?30 ?31) =<= composition (converse ?31) (converse ?30) [31, 30] by converse_multiplicativity_10 ?30 ?31
% 176.30/44.38 Id : 23, {_}: join ?64 (join ?65 ?66) =<= join (join ?64 ?65) ?66 [66, 65, 64] by maddux2_join_associativity_2 ?64 ?65 ?66
% 176.30/44.38 Id : 101, {_}: converse (join ?237 ?238) =<= join (converse ?237) (converse ?238) [238, 237] by converse_additivity_9 ?237 ?238
% 176.30/44.38 Id : 15, {_}: join sk1 one =>= one [] by goals_14
% 176.30/44.38 Id : 10, {_}: converse (join ?27 ?28) =<= join (converse ?27) (converse ?28) [28, 27] by converse_additivity_9 ?27 ?28
% 176.30/44.38 Id : 13, {_}: top =<= join ?36 (complement ?36) [36] by def_top_12 ?36
% 176.30/44.38 Id : 3, {_}: join ?5 (join ?6 ?7) =<= join (join ?5 ?6) ?7 [7, 6, 5] by maddux2_join_associativity_2 ?5 ?6 ?7
% 176.30/44.38 Id : 14, {_}: zero =<= meet ?38 (complement ?38) [38] by def_zero_13 ?38
% 176.30/44.38 Id : 9, {_}: converse (converse ?25) =>= ?25 [25] by converse_idempotence_8 ?25
% 176.30/44.38 Id : 114, {_}: converse (composition ?267 ?268) =<= composition (converse ?268) (converse ?267) [268, 267] by converse_multiplicativity_10 ?267 ?268
% 176.30/44.38 Id : 7, {_}: composition ?19 one =>= ?19 [19] by composition_identity_6 ?19
% 176.30/44.38 Id : 12, {_}: join (composition (converse ?33) (complement (composition ?33 ?34))) (complement ?34) =>= complement ?34 [34, 33] by converse_cancellativity_11 ?33 ?34
% 176.30/44.38 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
% 176.30/44.38 Id : 5, {_}: meet ?12 ?13 =<= complement (join (complement ?12) (complement ?13)) [13, 12] by maddux4_definiton_of_meet_4 ?12 ?13
% 176.30/44.38 Id : 2, {_}: join ?2 ?3 =?= join ?3 ?2 [3, 2] by maddux1_join_commutativity_1 ?2 ?3
% 176.30/44.38 Id : 53, {_}: meet ?130 ?131 =<= complement (join (complement ?130) (complement ?131)) [131, 130] by maddux4_definiton_of_meet_4 ?130 ?131
% 176.30/44.38 Id : 56, {_}: meet ?141 ?142 =<= complement (join (complement ?142) (complement ?141)) [142, 141] by Super 53 with 2 at 1,3
% 176.30/44.38 Id : 61, {_}: meet ?141 ?142 =?= meet ?142 ?141 [142, 141] by Demod 56 with 5 at 3
% 176.30/44.38 Id : 35, {_}: ?9 =<= join (complement (join (complement ?9) ?10)) (complement (join (complement ?9) (complement ?10))) [10, 9] by Demod 4 with 2 at 3
% 176.30/44.38 Id : 49, {_}: ?9 =<= join (complement (join (complement ?9) ?10)) (meet ?9 ?10) [10, 9] by Demod 35 with 5 at 2,3
% 176.30/44.38 Id : 50, {_}: ?9 =<= join (meet ?9 ?10) (complement (join (complement ?9) ?10)) [10, 9] by Demod 49 with 2 at 3
% 176.30/44.38 Id : 118, {_}: join (complement ?34) (composition (converse ?33) (complement (composition ?33 ?34))) =>= complement ?34 [33, 34] by Demod 12 with 2 at 2
% 176.30/44.38 Id : 2100, {_}: converse (composition (converse ?2675) ?2676) =>= composition (converse ?2676) ?2675 [2676, 2675] by Super 114 with 9 at 2,3
% 176.30/44.38 Id : 2105, {_}: converse (converse ?2693) =<= composition (converse one) ?2693 [2693] by Super 2100 with 7 at 1,2
% 176.30/44.38 Id : 2118, {_}: ?2693 =<= composition (converse one) ?2693 [2693] by Demod 2105 with 9 at 2
% 176.30/44.38 Id : 2126, {_}: one =<= converse one [] by Super 7 with 2118 at 2
% 176.30/44.38 Id : 2151, {_}: join (complement ?2739) (composition one (complement (composition one ?2739))) =>= complement ?2739 [2739] by Super 118 with 2126 at 1,2,2
% 176.30/44.38 Id : 2148, {_}: ?2693 =<= composition one ?2693 [2693] by Demod 2118 with 2126 at 1,3
% 176.30/44.38 Id : 2172, {_}: join (complement ?2739) (complement (composition one ?2739)) =>= complement ?2739 [2739] by Demod 2151 with 2148 at 2,2
% 176.30/44.38 Id : 2173, {_}: join (complement ?2739) (complement ?2739) =>= complement ?2739 [2739] by Demod 2172 with 2148 at 1,2,2
% 176.30/44.38 Id : 4362, {_}: ?4576 =<= join (meet ?4576 (complement ?4576)) (complement (complement ?4576)) [4576] by Super 50 with 2173 at 1,2,3
% 176.30/44.38 Id : 4379, {_}: ?4576 =<= join (complement (complement ?4576)) (meet ?4576 (complement ?4576)) [4576] by Demod 4362 with 2 at 3
% 176.30/44.38 Id : 4380, {_}: ?4576 =<= join (complement (complement ?4576)) zero [4576] by Demod 4379 with 14 at 2,3
% 176.30/44.38 Id : 4381, {_}: ?4576 =<= join zero (complement (complement ?4576)) [4576] by Demod 4380 with 2 at 3
% 176.30/44.38 Id : 38, {_}: ?100 =<= join (complement (join (complement ?100) ?101)) (complement (join (complement ?100) (complement ?101))) [101, 100] by Demod 4 with 2 at 3
% 176.30/44.38 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
% 176.30/44.38 Id : 1091, {_}: ?103 =<= join (complement (join (complement ?103) ?104)) (meet ?104 ?103) [104, 103] by Demod 39 with 5 at 2,3
% 176.30/44.38 Id : 1092, {_}: ?103 =<= join (meet ?104 ?103) (complement (join (complement ?103) ?104)) [104, 103] by Demod 1091 with 2 at 3
% 176.30/44.38 Id : 138, {_}: meet ?320 (complement ?320) =>= complement top [320] by Super 5 with 13 at 1,3
% 176.30/44.38 Id : 253, {_}: zero =<= complement top [] by Demod 138 with 14 at 2
% 176.30/44.38 Id : 257, {_}: meet top ?550 =<= complement (join zero (complement ?550)) [550] by Super 5 with 253 at 1,1,3
% 176.30/44.38 Id : 443, {_}: meet top ?916 =<= complement (join zero (complement ?916)) [916] by Super 5 with 253 at 1,1,3
% 176.30/44.38 Id : 445, {_}: meet top top =<= complement (join zero zero) [] by Super 443 with 253 at 2,1,3
% 176.30/44.38 Id : 465, {_}: meet top (join zero zero) =<= complement (join zero (meet top top)) [] by Super 257 with 445 at 2,1,3
% 176.30/44.38 Id : 259, {_}: zero =<= meet top zero [] by Super 14 with 253 at 2,3
% 176.30/44.38 Id : 286, {_}: top =<= join zero (complement (join (complement top) zero)) [] by Super 50 with 259 at 1,3
% 176.30/44.38 Id : 293, {_}: top =<= join zero (complement (join zero (complement top))) [] by Demod 286 with 2 at 1,2,3
% 176.30/44.38 Id : 294, {_}: top =<= join zero (complement (join zero zero)) [] by Demod 293 with 253 at 2,1,2,3
% 176.30/44.38 Id : 564, {_}: top =<= join zero (meet top top) [] by Demod 294 with 445 at 2,3
% 176.30/44.38 Id : 1143, {_}: meet top (join zero zero) =>= complement top [] by Demod 465 with 564 at 1,3
% 176.30/44.38 Id : 1144, {_}: meet top (join zero zero) =>= zero [] by Demod 1143 with 253 at 3
% 176.30/44.38 Id : 1145, {_}: join zero zero =<= join zero (complement (join (complement (join zero zero)) top)) [] by Super 1092 with 1144 at 1,3
% 176.30/44.38 Id : 1165, {_}: join zero zero =<= join zero (complement (join top (complement (join zero zero)))) [] by Demod 1145 with 2 at 1,2,3
% 176.30/44.38 Id : 1166, {_}: join zero zero =<= join zero (complement (join top (meet top top))) [] by Demod 1165 with 445 at 2,1,2,3
% 176.30/44.38 Id : 254, {_}: top =<= join top zero [] by Super 13 with 253 at 2,3
% 176.30/44.38 Id : 268, {_}: join top (join zero ?559) =>= join top ?559 [559] by Super 3 with 254 at 1,3
% 176.30/44.38 Id : 571, {_}: join top top =<= join top (meet top top) [] by Super 268 with 564 at 2,2
% 176.30/44.38 Id : 1167, {_}: join zero zero =<= join zero (complement (join top top)) [] by Demod 1166 with 571 at 1,2,3
% 176.30/44.38 Id : 1101, {_}: ?1704 =<= join (meet ?1705 ?1704) (complement (join (complement ?1704) ?1705)) [1705, 1704] by Demod 1091 with 2 at 3
% 176.30/44.38 Id : 1119, {_}: zero =<= join zero (complement (join (complement zero) top)) [] by Super 1101 with 259 at 1,3
% 176.30/44.38 Id : 1138, {_}: zero =<= join zero (complement (join top (complement zero))) [] by Demod 1119 with 2 at 1,2,3
% 176.30/44.38 Id : 512, {_}: join top (join zero ?995) =>= join top ?995 [995] by Super 3 with 254 at 1,3
% 176.30/44.38 Id : 519, {_}: join top top =<= join top (complement zero) [] by Super 512 with 13 at 2,2
% 176.30/44.38 Id : 1139, {_}: zero =<= join zero (complement (join top top)) [] by Demod 1138 with 519 at 1,2,3
% 176.30/44.38 Id : 1350, {_}: join zero zero =>= zero [] by Demod 1167 with 1139 at 3
% 176.30/44.38 Id : 1360, {_}: join zero (join zero ?1906) =>= join zero ?1906 [1906] by Super 3 with 1350 at 1,3
% 176.30/44.38 Id : 147, {_}: ?331 =<= join zero (complement (join (complement ?331) (complement ?331))) [331] by Super 50 with 14 at 1,3
% 176.30/44.38 Id : 151, {_}: ?331 =<= join zero (meet ?331 ?331) [331] by Demod 147 with 5 at 2,3
% 176.30/44.38 Id : 2943, {_}: join zero ?3508 =<= join zero (meet ?3508 ?3508) [3508] by Super 1360 with 151 at 2,2
% 176.30/44.38 Id : 2951, {_}: join zero ?3508 =>= ?3508 [3508] by Demod 2943 with 151 at 3
% 176.30/44.38 Id : 4382, {_}: ?4576 =<= complement (complement ?4576) [4576] by Demod 4381 with 2951 at 3
% 176.30/44.38 Id : 4482, {_}: meet ?4714 (complement ?4715) =<= complement (join (complement ?4714) ?4715) [4715, 4714] by Super 5 with 4382 at 2,1,3
% 176.30/44.38 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
% 176.30/44.38 Id : 594, {_}: 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
% 176.30/44.38 Id : 21, {_}: join ?56 (join ?57 ?58) =?= join ?57 (join ?58 ?56) [58, 57, 56] by Super 2 with 3 at 3
% 176.30/44.38 Id : 595, {_}: join (meet ?93 ?94) (join ?95 (complement (join (complement ?93) ?94))) =>= join ?93 ?95 [95, 94, 93] by Demod 594 with 21 at 2
% 176.30/44.38 Id : 5579, {_}: join (meet ?93 ?94) (join ?95 (meet ?93 (complement ?94))) =>= join ?93 ?95 [95, 94, 93] by Demod 595 with 4482 at 2,2,2
% 176.30/44.38 Id : 4472, {_}: join (complement (complement ?4686)) ?4686 =>= complement (complement ?4686) [4686] by Super 2173 with 4382 at 2,2
% 176.30/44.38 Id : 4518, {_}: join ?4686 (complement (complement ?4686)) =>= complement (complement ?4686) [4686] by Demod 4472 with 2 at 2
% 176.30/44.38 Id : 4519, {_}: join ?4686 (complement (complement ?4686)) =>= ?4686 [4686] by Demod 4518 with 4382 at 3
% 176.30/44.38 Id : 4520, {_}: join ?4686 ?4686 =>= ?4686 [4686] by Demod 4519 with 4382 at 2,2
% 176.30/44.38 Id : 37011, {_}: join ?25987 (join ?25987 ?25988) =>= join ?25987 ?25988 [25988, 25987] by Super 3 with 4520 at 1,3
% 176.30/44.38 Id : 5582, {_}: ?103 =<= join (meet ?104 ?103) (meet ?103 (complement ?104)) [104, 103] by Demod 1092 with 4482 at 2,3
% 176.30/44.38 Id : 37059, {_}: join (meet ?26114 ?26115) ?26115 =<= join (meet ?26114 ?26115) (meet ?26115 (complement ?26114)) [26115, 26114] by Super 37011 with 5582 at 2,2
% 176.30/44.38 Id : 37275, {_}: join ?26115 (meet ?26114 ?26115) =<= join (meet ?26114 ?26115) (meet ?26115 (complement ?26114)) [26114, 26115] by Demod 37059 with 2 at 2
% 176.30/44.38 Id : 37276, {_}: join ?26115 (meet ?26114 ?26115) =>= ?26115 [26114, 26115] by Demod 37275 with 5582 at 3
% 176.30/44.38 Id : 47667, {_}: join (meet ?32128 ?32129) (complement ?32129) =>= join ?32128 (complement ?32129) [32129, 32128] by Super 5579 with 37276 at 2,2
% 176.30/44.38 Id : 47723, {_}: join (complement ?32129) (meet ?32128 ?32129) =>= join ?32128 (complement ?32129) [32128, 32129] by Demod 47667 with 2 at 2
% 176.30/44.38 Id : 91871, {_}: meet ?64417 (complement (meet ?64418 ?64417)) =>= complement (join ?64418 (complement ?64417)) [64418, 64417] by Super 4482 with 47723 at 1,3
% 176.30/44.38 Id : 4483, {_}: meet (complement ?4717) ?4718 =<= complement (join ?4717 (complement ?4718)) [4718, 4717] by Super 5 with 4382 at 1,1,3
% 176.30/44.38 Id : 144428, {_}: meet ?98372 (complement (meet ?98373 ?98372)) =>= meet (complement ?98373) ?98372 [98373, 98372] by Demod 91871 with 4483 at 3
% 176.30/44.38 Id : 144429, {_}: meet ?98375 (complement (meet ?98375 ?98376)) =>= meet (complement ?98376) ?98375 [98376, 98375] by Super 144428 with 61 at 1,2,2
% 176.30/44.38 Id : 100, {_}: join (converse ?233) (join (converse ?234) ?235) =>= join (converse (join ?233 ?234)) ?235 [235, 234, 233] by Super 3 with 10 at 1,3
% 176.30/44.38 Id : 98, {_}: join (converse ?227) (converse ?228) =>= converse (join ?228 ?227) [228, 227] by Super 2 with 10 at 3
% 176.30/44.38 Id : 107, {_}: converse (join ?227 ?228) =?= converse (join ?228 ?227) [228, 227] by Demod 98 with 10 at 2
% 176.30/44.38 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
% 176.30/44.38 Id : 1585, {_}: ?112 =<= join (complement (join ?113 (complement ?112))) (meet ?112 ?113) [113, 112] by Demod 42 with 5 at 2,3
% 176.30/44.38 Id : 1586, {_}: ?112 =<= join (meet ?112 ?113) (complement (join ?113 (complement ?112))) [113, 112] by Demod 1585 with 2 at 3
% 176.30/44.38 Id : 5893, {_}: ?112 =<= join (meet ?112 ?113) (meet (complement ?113) ?112) [113, 112] by Demod 1586 with 4483 at 2,3
% 176.30/44.38 Id : 305, {_}: join sk1 (join one ?594) =>= join one ?594 [594] by Super 3 with 15 at 1,3
% 176.30/44.38 Id : 51335, {_}: join sk1 (join ?34719 (join one ?34720)) =>= join one (join ?34720 ?34719) [34720, 34719] by Super 305 with 21 at 2,2
% 176.30/44.38 Id : 51356, {_}: join sk1 (join ?34779 one) =<= join one (join (meet ?34780 one) ?34779) [34780, 34779] by Super 51335 with 37276 at 2,2,2
% 176.30/44.38 Id : 308, {_}: join sk1 (join ?600 one) =>= join one ?600 [600] by Super 305 with 2 at 2,2
% 176.30/44.38 Id : 95216, {_}: join one ?66626 =<= join one (join (meet ?66627 one) ?66626) [66627, 66626] by Demod 51356 with 308 at 2
% 176.30/44.38 Id : 95731, {_}: join one (meet (complement one) ?67020) =>= join one ?67020 [67020] by Super 95216 with 5893 at 2,3
% 176.30/44.38 Id : 5601, {_}: meet ?5632 (complement ?5633) =<= complement (join (complement ?5632) ?5633) [5633, 5632] by Super 5 with 4382 at 2,1,3
% 176.30/44.38 Id : 5604, {_}: meet (complement ?5639) (complement ?5640) =>= complement (join ?5639 ?5640) [5640, 5639] by Super 5601 with 4382 at 1,1,3
% 176.30/44.38 Id : 96133, {_}: join one (complement (join one ?67311)) =>= join one (complement ?67311) [67311] by Super 95731 with 5604 at 2,2
% 176.30/44.38 Id : 2050, {_}: converse (join (converse ?2589) ?2590) =>= join ?2589 (converse ?2590) [2590, 2589] by Super 101 with 9 at 1,3
% 176.30/44.38 Id : 2061, {_}: converse top =<= join ?2624 (converse (complement (converse ?2624))) [2624] by Super 2050 with 13 at 1,2
% 176.30/44.38 Id : 102, {_}: converse (join ?240 (converse ?241)) =>= join (converse ?240) ?241 [241, 240] by Super 101 with 9 at 2,3
% 176.30/44.38 Id : 1595, {_}: ?2154 =<= join (meet ?2154 ?2155) (complement (join ?2155 (complement ?2154))) [2155, 2154] by Demod 1585 with 2 at 3
% 176.30/44.38 Id : 1229, {_}: join top zero =<= join top (complement (join top top)) [] by Super 268 with 1139 at 2,2
% 176.30/44.38 Id : 1253, {_}: top =<= join top (complement (join top top)) [] by Demod 1229 with 254 at 2
% 176.30/44.38 Id : 1611, {_}: join top top =<= join (meet (join top top) top) (complement top) [] by Super 1595 with 1253 at 1,2,3
% 176.30/44.38 Id : 1644, {_}: join top top =<= join (complement top) (meet (join top top) top) [] by Demod 1611 with 2 at 3
% 176.30/44.38 Id : 1645, {_}: join top top =<= join zero (meet (join top top) top) [] by Demod 1644 with 253 at 1,3
% 176.30/44.38 Id : 256, {_}: meet ?548 top =<= complement (join (complement ?548) zero) [548] by Super 5 with 253 at 2,1,3
% 176.30/44.38 Id : 265, {_}: meet ?548 top =<= complement (join zero (complement ?548)) [548] by Demod 256 with 2 at 1,3
% 176.30/44.38 Id : 483, {_}: meet ?548 top =?= meet top ?548 [548] by Demod 265 with 257 at 3
% 176.30/44.38 Id : 1646, {_}: join top top =<= join zero (meet top (join top top)) [] by Demod 1645 with 483 at 2,3
% 176.30/44.38 Id : 1230, {_}: meet top (join top top) =>= complement zero [] by Super 257 with 1139 at 1,3
% 176.30/44.38 Id : 1647, {_}: join top top =<= join zero (complement zero) [] by Demod 1646 with 1230 at 2,3
% 176.30/44.38 Id : 1648, {_}: join top top =>= top [] by Demod 1647 with 13 at 3
% 176.30/44.38 Id : 1674, {_}: join top (join top ?2221) =>= join top ?2221 [2221] by Super 3 with 1648 at 1,3
% 176.30/44.38 Id : 11320, {_}: join top (converse top) =<= join top (converse (complement (converse top))) [] by Super 1674 with 2061 at 2,2
% 176.30/44.38 Id : 11409, {_}: join top (converse top) =>= converse top [] by Demod 11320 with 2061 at 3
% 176.30/44.38 Id : 11515, {_}: converse (converse top) =<= join (converse top) top [] by Super 102 with 11409 at 1,2
% 176.30/44.38 Id : 11528, {_}: top =<= join (converse top) top [] by Demod 11515 with 9 at 2
% 176.30/44.38 Id : 11529, {_}: top =<= join top (converse top) [] by Demod 11528 with 2 at 3
% 176.30/44.38 Id : 11530, {_}: top =<= converse top [] by Demod 11529 with 11409 at 3
% 176.30/44.38 Id : 11569, {_}: top =<= join ?2624 (converse (complement (converse ?2624))) [2624] by Demod 2061 with 11530 at 2
% 176.30/44.38 Id : 96196, {_}: join one (complement top) =<= join one (complement (converse (complement (converse one)))) [] by Super 96133 with 11569 at 1,2,2
% 176.30/44.38 Id : 96418, {_}: join one zero =<= join one (complement (converse (complement (converse one)))) [] by Demod 96196 with 253 at 2,2
% 176.30/44.38 Id : 96419, {_}: join one zero =<= join one (complement (converse (complement one))) [] by Demod 96418 with 2126 at 1,1,1,2,3
% 176.30/44.38 Id : 2996, {_}: join ?3539 zero =>= ?3539 [3539] by Super 2 with 2951 at 3
% 176.30/44.38 Id : 96420, {_}: one =<= join one (complement (converse (complement one))) [] by Demod 96419 with 2996 at 2
% 176.30/44.38 Id : 96487, {_}: meet (complement one) (converse (complement one)) =>= complement one [] by Super 4483 with 96420 at 1,3
% 176.30/44.38 Id : 96628, {_}: converse (complement one) =<= join (meet (converse (complement one)) one) (complement one) [] by Super 5893 with 96487 at 2,3
% 176.30/44.38 Id : 96688, {_}: converse (complement one) =<= join (complement one) (meet (converse (complement one)) one) [] by Demod 96628 with 2 at 3
% 176.30/44.38 Id : 96689, {_}: converse (complement one) =<= join (converse (complement one)) (complement one) [] by Demod 96688 with 47723 at 3
% 176.30/44.38 Id : 96690, {_}: converse (complement one) =<= join (complement one) (converse (complement one)) [] by Demod 96689 with 2 at 3
% 176.30/44.38 Id : 96904, {_}: converse (join (converse (complement one)) (complement one)) =>= converse (converse (complement one)) [] by Super 107 with 96690 at 1,2
% 176.30/44.38 Id : 103, {_}: converse (join (converse ?243) ?244) =>= join ?243 (converse ?244) [244, 243] by Super 101 with 9 at 1,3
% 176.30/44.38 Id : 96919, {_}: join (complement one) (converse (complement one)) =>= converse (converse (complement one)) [] by Demod 96904 with 103 at 2
% 176.30/44.38 Id : 96920, {_}: join (complement one) (converse (complement one)) =>= complement one [] by Demod 96919 with 9 at 3
% 176.30/44.38 Id : 96921, {_}: converse (complement one) =>= complement one [] by Demod 96920 with 96690 at 2
% 176.30/44.38 Id : 97074, {_}: join (complement one) (join (converse ?67678) ?67679) =<= join (converse (join (complement one) ?67678)) ?67679 [67679, 67678] by Super 100 with 96921 at 1,2
% 176.30/44.38 Id : 176106, {_}: meet (complement (converse (join (complement one) ?116726))) ?116727 =<= complement (join (complement one) (join (converse ?116726) (complement ?116727))) [116727, 116726] by Super 4483 with 97074 at 1,3
% 176.30/44.38 Id : 97078, {_}: converse (join (complement one) ?67687) =<= join (complement one) (converse ?67687) [67687] by Super 103 with 96921 at 1,1,2
% 176.30/44.38 Id : 97345, {_}: meet one (complement (converse ?67914)) =<= complement (converse (join (complement one) ?67914)) [67914] by Super 4482 with 97078 at 1,3
% 176.30/44.38 Id : 176499, {_}: meet (meet one (complement (converse ?116726))) ?116727 =<= complement (join (complement one) (join (converse ?116726) (complement ?116727))) [116727, 116726] by Demod 176106 with 97345 at 1,2
% 176.30/44.38 Id : 176500, {_}: meet (meet one (complement (converse ?116726))) ?116727 =<= meet one (complement (join (converse ?116726) (complement ?116727))) [116727, 116726] by Demod 176499 with 4482 at 3
% 176.30/44.38 Id : 176501, {_}: meet (meet one (complement (converse ?116726))) ?116727 =>= meet one (meet (complement (converse ?116726)) ?116727) [116727, 116726] by Demod 176500 with 4483 at 2,3
% 176.30/44.38 Id : 97073, {_}: join (converse ?67675) (join (complement one) ?67676) =<= join (converse (join ?67675 (complement one))) ?67676 [67676, 67675] by Super 100 with 96921 at 1,2,2
% 176.30/44.38 Id : 175049, {_}: meet (complement (converse (join ?116063 (complement one)))) ?116064 =<= complement (join (converse ?116063) (join (complement one) (complement ?116064))) [116064, 116063] by Super 4483 with 97073 at 1,3
% 176.30/44.38 Id : 97083, {_}: converse (join ?67696 (complement one)) =<= join (converse ?67696) (complement one) [67696] by Super 10 with 96921 at 2,3
% 176.30/44.38 Id : 98191, {_}: meet (complement (converse ?68484)) one =<= complement (converse (join ?68484 (complement one))) [68484] by Super 4483 with 97083 at 1,3
% 176.30/44.38 Id : 98312, {_}: meet one (complement (converse ?68484)) =<= complement (converse (join ?68484 (complement one))) [68484] by Demod 98191 with 61 at 2
% 176.30/44.38 Id : 175501, {_}: meet (meet one (complement (converse ?116063))) ?116064 =<= complement (join (converse ?116063) (join (complement one) (complement ?116064))) [116064, 116063] by Demod 175049 with 98312 at 1,2
% 176.30/44.38 Id : 5581, {_}: ?9 =<= join (meet ?9 ?10) (meet ?9 (complement ?10)) [10, 9] by Demod 50 with 4482 at 2,3
% 176.30/44.38 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
% 176.30/44.38 Id : 6123, {_}: meet (join (complement ?137) (complement ?138)) ?139 =>= meet (complement (meet ?137 ?138)) ?139 [139, 138, 137] by Demod 55 with 4483 at 3
% 176.30/44.38 Id : 6136, {_}: join (complement ?6160) (complement ?6161) =<= join (meet (join (complement ?6160) (complement ?6161)) ?6162) (meet (complement (meet ?6160 ?6161)) (complement ?6162)) [6162, 6161, 6160] by Super 5581 with 6123 at 2,3
% 176.30/44.38 Id : 6173, {_}: join (complement ?6160) (complement ?6161) =<= join (meet (complement (meet ?6160 ?6161)) (complement ?6162)) (meet (join (complement ?6160) (complement ?6161)) ?6162) [6162, 6161, 6160] by Demod 6136 with 2 at 3
% 176.30/44.38 Id : 6174, {_}: join (complement ?6160) (complement ?6161) =<= join (meet (complement (meet ?6160 ?6161)) (complement ?6162)) (meet (complement (meet ?6160 ?6161)) ?6162) [6162, 6161, 6160] by Demod 6173 with 6123 at 2,3
% 176.30/44.38 Id : 6175, {_}: join (complement ?6160) (complement ?6161) =<= join (meet (complement (meet ?6160 ?6161)) ?6162) (meet (complement (meet ?6160 ?6161)) (complement ?6162)) [6162, 6161, 6160] by Demod 6174 with 2 at 3
% 176.30/44.38 Id : 6176, {_}: join (complement ?6160) (complement ?6161) =>= complement (meet ?6160 ?6161) [6161, 6160] by Demod 6175 with 5581 at 3
% 176.30/44.38 Id : 175502, {_}: meet (meet one (complement (converse ?116063))) ?116064 =<= complement (join (converse ?116063) (complement (meet one ?116064))) [116064, 116063] by Demod 175501 with 6176 at 2,1,3
% 176.30/44.38 Id : 370794, {_}: meet (meet one (complement (converse ?223503))) ?223504 =>= meet (complement (converse ?223503)) (meet one ?223504) [223504, 223503] by Demod 175502 with 4483 at 3
% 176.30/44.38 Id : 370795, {_}: meet (meet one (complement ?223506)) ?223507 =<= meet (complement (converse (converse ?223506))) (meet one ?223507) [223507, 223506] by Super 370794 with 9 at 1,2,1,2
% 176.30/44.38 Id : 372561, {_}: meet (meet one (complement ?224510)) ?224511 =>= meet (complement ?224510) (meet one ?224511) [224511, 224510] by Demod 370795 with 9 at 1,1,3
% 176.30/44.38 Id : 372605, {_}: meet (meet one ?224630) ?224631 =<= meet (complement (complement ?224630)) (meet one ?224631) [224631, 224630] by Super 372561 with 4382 at 2,1,2
% 176.30/44.38 Id : 373712, {_}: meet (meet one ?224630) ?224631 =>= meet ?224630 (meet one ?224631) [224631, 224630] by Demod 372605 with 4382 at 1,3
% 176.30/44.38 Id : 386824, {_}: meet (complement (converse ?232676)) (meet one ?232677) =>= meet one (meet (complement (converse ?232676)) ?232677) [232677, 232676] by Demod 176501 with 373712 at 2
% 176.30/44.38 Id : 91892, {_}: join (complement ?64474) (meet ?64475 ?64474) =>= join ?64475 (complement ?64474) [64475, 64474] by Demod 47667 with 2 at 2
% 176.30/44.38 Id : 91896, {_}: join (complement (complement ?64484)) (complement (join ?64485 ?64484)) =>= join (complement ?64485) (complement (complement ?64484)) [64485, 64484] by Super 91892 with 5604 at 2,2
% 176.30/44.38 Id : 92068, {_}: complement (meet (complement ?64484) (join ?64485 ?64484)) =>= join (complement ?64485) (complement (complement ?64484)) [64485, 64484] by Demod 91896 with 6176 at 2
% 176.30/44.38 Id : 92069, {_}: complement (meet (complement ?64484) (join ?64485 ?64484)) =>= complement (meet ?64485 (complement ?64484)) [64485, 64484] by Demod 92068 with 6176 at 3
% 176.30/44.38 Id : 5903, {_}: join ?5930 (complement ?5931) =<= complement (meet (complement ?5930) ?5931) [5931, 5930] by Super 4382 with 4483 at 1,3
% 176.30/44.38 Id : 92070, {_}: join ?64484 (complement (join ?64485 ?64484)) =>= complement (meet ?64485 (complement ?64484)) [64485, 64484] by Demod 92069 with 5903 at 2
% 176.30/44.38 Id : 5591, {_}: join (complement ?5595) ?5596 =<= complement (meet ?5595 (complement ?5596)) [5596, 5595] by Super 4382 with 4482 at 1,3
% 176.30/44.38 Id : 145367, {_}: join ?98958 (complement (join ?98959 ?98958)) =>= join (complement ?98959) ?98958 [98959, 98958] by Demod 92070 with 5591 at 3
% 176.30/44.38 Id : 24, {_}: join ?68 (join ?69 ?70) =<= join (join ?69 ?68) ?70 [70, 69, 68] by Super 23 with 2 at 1,3
% 176.30/44.38 Id : 30, {_}: join ?68 (join ?69 ?70) =?= join ?69 (join ?68 ?70) [70, 69, 68] by Demod 24 with 3 at 3
% 176.30/44.38 Id : 153, {_}: join sk1 (join one ?340) =>= join one ?340 [340] by Super 3 with 15 at 1,3
% 176.30/44.38 Id : 2150, {_}: converse (join one ?2737) =<= join one (converse ?2737) [2737] by Super 103 with 2126 at 1,1,2
% 176.30/44.38 Id : 2182, {_}: join sk1 (converse (join one ?2771)) =>= join one (converse ?2771) [2771] by Super 153 with 2150 at 2,2
% 176.30/44.38 Id : 4743, {_}: join sk1 (converse (join one ?4905)) =>= converse (join one ?4905) [4905] by Demod 2182 with 2150 at 3
% 176.30/44.38 Id : 4746, {_}: join sk1 (converse (join ?4911 one)) =>= converse (join one ?4911) [4911] by Super 4743 with 2 at 1,2,2
% 176.30/44.38 Id : 6241, {_}: converse (converse (join one ?6273)) =<= join (converse sk1) (join ?6273 one) [6273] by Super 102 with 4746 at 1,2
% 176.30/44.38 Id : 6269, {_}: join one ?6273 =<= join (converse sk1) (join ?6273 one) [6273] by Demod 6241 with 9 at 2
% 176.30/44.38 Id : 9215, {_}: join one ?8819 =<= join one (join (converse sk1) ?8819) [8819] by Demod 6269 with 21 at 3
% 176.30/44.38 Id : 9229, {_}: join one (complement (converse sk1)) =>= join one top [] by Super 9215 with 13 at 2,3
% 176.30/44.38 Id : 9311, {_}: join one (complement (converse sk1)) =>= join top one [] by Demod 9229 with 2 at 3
% 176.30/44.38 Id : 9361, {_}: join one (join ?8881 (complement (converse sk1))) =>= join ?8881 (join top one) [8881] by Super 30 with 9311 at 2,3
% 176.30/44.38 Id : 35745, {_}: join ?25288 (join ?25289 ?25288) =>= join ?25289 ?25288 [25289, 25288] by Super 21 with 4520 at 2,3
% 176.30/44.38 Id : 35796, {_}: join (complement ?25406) top =?= join ?25406 (complement ?25406) [25406] by Super 35745 with 13 at 2,2
% 176.30/44.38 Id : 36128, {_}: join top (complement ?25406) =?= join ?25406 (complement ?25406) [25406] by Demod 35796 with 2 at 2
% 176.30/44.38 Id : 36129, {_}: join top (complement ?25406) =>= top [25406] by Demod 36128 with 13 at 3
% 176.30/44.38 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
% 176.30/44.38 Id : 2216, {_}: 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
% 176.30/44.38 Id : 2227, {_}: join (complement ?2840) ?2841 =<= join (complement ?2840) (meet (join (complement ?2840) ?2841) (meet ?2840 ?2841)) [2841, 2840] by Demod 2216 with 5 at 2,2,3
% 176.30/44.38 Id : 1352, {_}: meet top top =>= complement zero [] by Demod 445 with 1350 at 1,3
% 176.30/44.38 Id : 2229, {_}: join (complement top) top =<= join (complement top) (meet (join (complement top) top) (complement zero)) [] by Super 2227 with 1352 at 2,2,3
% 176.30/44.39 Id : 2267, {_}: join top (complement top) =<= join (complement top) (meet (join (complement top) top) (complement zero)) [] by Demod 2229 with 2 at 2
% 176.30/44.39 Id : 2268, {_}: join top (complement top) =<= join zero (meet (join (complement top) top) (complement zero)) [] by Demod 2267 with 253 at 1,3
% 176.30/44.39 Id : 2269, {_}: join top (complement top) =<= join zero (meet (join top (complement top)) (complement zero)) [] by Demod 2268 with 2 at 1,2,3
% 176.30/44.39 Id : 2270, {_}: top =<= join zero (meet (join top (complement top)) (complement zero)) [] by Demod 2269 with 13 at 2
% 176.30/44.39 Id : 2271, {_}: top =<= join zero (meet top (complement zero)) [] by Demod 2270 with 13 at 1,2,3
% 176.30/44.39 Id : 2962, {_}: top =<= meet top (complement zero) [] by Demod 2271 with 2951 at 3
% 176.30/44.39 Id : 2965, {_}: meet top ?550 =>= complement (complement ?550) [550] by Demod 257 with 2951 at 1,3
% 176.30/44.39 Id : 2977, {_}: top =<= complement (complement (complement zero)) [] by Demod 2962 with 2965 at 3
% 176.30/44.39 Id : 2973, {_}: zero =<= complement (complement zero) [] by Demod 259 with 2965 at 3
% 176.30/44.39 Id : 2978, {_}: top =<= complement zero [] by Demod 2977 with 2973 at 1,3
% 176.30/44.39 Id : 5665, {_}: meet zero (complement ?5713) =>= complement (join top ?5713) [5713] by Super 5601 with 2978 at 1,1,3
% 176.30/44.39 Id : 5668, {_}: meet zero ?5717 =<= complement (join top (complement ?5717)) [5717] by Super 5665 with 4382 at 2,2
% 176.30/44.39 Id : 5713, {_}: join top (complement ?5751) =>= complement (meet zero ?5751) [5751] by Super 4382 with 5668 at 1,3
% 176.30/44.39 Id : 36130, {_}: complement (meet zero ?25406) =>= top [25406] by Demod 36129 with 5713 at 2
% 176.30/44.39 Id : 36355, {_}: join (complement zero) ?25606 =>= top [25606] by Super 5591 with 36130 at 3
% 176.30/44.39 Id : 36393, {_}: join top ?25606 =>= top [25606] by Demod 36355 with 2978 at 1,2
% 176.30/44.39 Id : 37512, {_}: join one (join ?8881 (complement (converse sk1))) =>= join ?8881 top [8881] by Demod 9361 with 36393 at 2,3
% 176.30/44.39 Id : 26218, {_}: join one (join (converse ?19746) ?19747) =<= join (converse (join one ?19746)) ?19747 [19747, 19746] by Super 3 with 2150 at 1,3
% 176.30/44.39 Id : 26227, {_}: join one (join (converse one) ?19773) =>= join (converse one) ?19773 [19773] by Super 26218 with 4520 at 1,1,3
% 176.30/44.39 Id : 26511, {_}: join one (join one ?19773) =>= join (converse one) ?19773 [19773] by Demod 26227 with 2126 at 1,2,2
% 176.30/44.39 Id : 26697, {_}: join one (join one ?19972) =>= join one ?19972 [19972] by Demod 26511 with 2126 at 1,3
% 176.30/44.39 Id : 26715, {_}: join one top =<= join one (complement one) [] by Super 26697 with 13 at 2,2
% 176.30/44.39 Id : 26806, {_}: join top one =<= join one (complement one) [] by Demod 26715 with 2 at 2
% 176.30/44.39 Id : 26807, {_}: join top one =>= top [] by Demod 26806 with 13 at 3
% 176.30/44.39 Id : 27265, {_}: join top (join one ?20293) =>= join top ?20293 [20293] by Super 3 with 26807 at 1,3
% 176.30/44.39 Id : 6270, {_}: join one ?6273 =<= join one (join (converse sk1) ?6273) [6273] by Demod 6269 with 21 at 3
% 176.30/44.39 Id : 11299, {_}: join one (converse (complement (converse (converse sk1)))) =>= join one (converse top) [] by Super 6270 with 2061 at 2,3
% 176.30/44.39 Id : 11437, {_}: converse (join one (complement (converse (converse sk1)))) =>= join one (converse top) [] by Demod 11299 with 2150 at 2
% 176.30/44.39 Id : 11438, {_}: converse (join one (complement (converse (converse sk1)))) =>= converse (join one top) [] by Demod 11437 with 2150 at 3
% 176.30/44.39 Id : 11439, {_}: converse (join one (complement sk1)) =>= converse (join one top) [] by Demod 11438 with 9 at 1,2,1,2
% 176.30/44.39 Id : 2157, {_}: converse (join ?2750 one) =<= join (converse ?2750) one [2750] by Super 102 with 2126 at 2,1,2
% 176.30/44.39 Id : 2165, {_}: converse (join ?2750 one) =<= join one (converse ?2750) [2750] by Demod 2157 with 2 at 3
% 176.34/44.39 Id : 2543, {_}: converse (join ?2750 one) =?= converse (join one ?2750) [2750] by Demod 2165 with 2150 at 3
% 176.34/44.39 Id : 11440, {_}: converse (join one (complement sk1)) =>= converse (join top one) [] by Demod 11439 with 2543 at 3
% 176.34/44.39 Id : 11600, {_}: converse (join one top) =>= join one top [] by Super 2150 with 11530 at 2,3
% 176.34/44.39 Id : 11621, {_}: converse (join top one) =>= join one top [] by Demod 11600 with 2543 at 2
% 176.34/44.39 Id : 11622, {_}: converse (join top one) =>= join top one [] by Demod 11621 with 2 at 3
% 176.34/44.39 Id : 12014, {_}: converse (join one (complement sk1)) =>= join top one [] by Demod 11440 with 11622 at 3
% 176.34/44.39 Id : 12025, {_}: converse (join top one) =<= join one (complement sk1) [] by Super 9 with 12014 at 1,2
% 176.34/44.39 Id : 12062, {_}: join top one =<= join one (complement sk1) [] by Demod 12025 with 11622 at 2
% 176.34/44.39 Id : 12091, {_}: join one (join ?10624 (complement sk1)) =>= join ?10624 (join top one) [10624] by Super 30 with 12062 at 2,3
% 176.34/44.39 Id : 26855, {_}: join one (join ?10624 (complement sk1)) =>= join ?10624 top [10624] by Demod 12091 with 26807 at 2,3
% 176.34/44.39 Id : 27277, {_}: join top (join ?20316 top) =<= join top (join ?20316 (complement sk1)) [20316] by Super 27265 with 26855 at 2,2
% 176.34/44.39 Id : 1672, {_}: join top (join ?2217 top) =>= join ?2217 top [2217] by Super 30 with 1648 at 2,3
% 176.34/44.39 Id : 27354, {_}: join ?20316 top =<= join top (join ?20316 (complement sk1)) [20316] by Demod 27277 with 1672 at 2
% 176.34/44.39 Id : 36495, {_}: join ?20316 top =>= top [20316] by Demod 27354 with 36393 at 3
% 176.34/44.39 Id : 37537, {_}: join one (join ?26236 (complement (converse sk1))) =>= top [26236] by Demod 37512 with 36495 at 3
% 176.34/44.39 Id : 37546, {_}: join one (complement (meet ?26251 (converse sk1))) =>= top [26251] by Super 37537 with 6176 at 2,2
% 176.34/44.39 Id : 47832, {_}: meet (complement one) (meet ?32216 (converse sk1)) =>= complement top [32216] by Super 4483 with 37546 at 1,3
% 176.34/44.39 Id : 47902, {_}: meet (complement one) (meet ?32216 (converse sk1)) =>= zero [32216] by Demod 47832 with 253 at 3
% 176.34/44.39 Id : 49603, {_}: meet ?33478 (converse sk1) =<= join (meet (meet ?33478 (converse sk1)) one) zero [33478] by Super 5893 with 47902 at 2,3
% 176.34/44.39 Id : 49651, {_}: meet ?33478 (converse sk1) =<= join zero (meet (meet ?33478 (converse sk1)) one) [33478] by Demod 49603 with 2 at 3
% 176.34/44.39 Id : 49652, {_}: meet ?33478 (converse sk1) =<= meet (meet ?33478 (converse sk1)) one [33478] by Demod 49651 with 2951 at 3
% 176.34/44.39 Id : 49711, {_}: meet ?33556 (converse sk1) =<= meet one (meet ?33556 (converse sk1)) [33556] by Demod 49652 with 61 at 3
% 176.34/44.39 Id : 4471, {_}: meet top ?550 =>= ?550 [550] by Demod 2965 with 4382 at 3
% 176.34/44.39 Id : 49717, {_}: meet top (converse sk1) =<= meet one (converse sk1) [] by Super 49711 with 4471 at 2,3
% 176.34/44.39 Id : 49754, {_}: converse sk1 =<= meet one (converse sk1) [] by Demod 49717 with 4471 at 2
% 176.34/44.39 Id : 49778, {_}: one =<= join (converse sk1) (meet one (complement (converse sk1))) [] by Super 5581 with 49754 at 1,3
% 176.34/44.39 Id : 50675, {_}: converse one =<= join sk1 (converse (meet one (complement (converse sk1)))) [] by Super 103 with 49778 at 1,2
% 176.34/44.39 Id : 50714, {_}: one =<= join sk1 (converse (meet one (complement (converse sk1)))) [] by Demod 50675 with 2126 at 2
% 176.34/44.39 Id : 145488, {_}: join (converse (meet one (complement (converse sk1)))) (complement one) =>= join (complement sk1) (converse (meet one (complement (converse sk1)))) [] by Super 145367 with 50714 at 1,2,2
% 176.34/44.39 Id : 146140, {_}: join (complement one) (converse (meet one (complement (converse sk1)))) =>= join (complement sk1) (converse (meet one (complement (converse sk1)))) [] by Demod 145488 with 2 at 2
% 176.34/44.39 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
% 176.34/44.39 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
% 176.34/44.39 Id : 3119, {_}: 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
% 176.34/44.39 Id : 5576, {_}: join (complement ?109) ?110 =<= join (complement ?109) (meet ?109 (complement (join (complement ?110) (complement (join (complement ?109) ?110))))) [110, 109] by Demod 3119 with 4482 at 2,3
% 176.34/44.39 Id : 5577, {_}: join (complement ?109) ?110 =<= join (complement ?109) (meet ?109 (meet ?110 (complement (complement (join (complement ?109) ?110))))) [110, 109] by Demod 5576 with 4482 at 2,2,3
% 176.34/44.39 Id : 5578, {_}: join (complement ?109) ?110 =<= join (complement ?109) (meet ?109 (meet ?110 (complement (meet ?109 (complement ?110))))) [110, 109] by Demod 5577 with 4482 at 1,2,2,2,3
% 176.34/44.39 Id : 7718, {_}: join (complement ?109) ?110 =<= join (complement ?109) (meet ?109 (meet ?110 (join (complement ?109) ?110))) [110, 109] by Demod 5578 with 5591 at 2,2,2,3
% 176.34/44.39 Id : 4568, {_}: join ?4784 (join ?4784 ?4785) =>= join ?4784 ?4785 [4785, 4784] by Super 3 with 4520 at 1,3
% 176.34/44.39 Id : 36970, {_}: join (meet ?25880 ?25881) (meet ?25880 (complement ?25881)) =>= join ?25880 (meet ?25880 ?25881) [25881, 25880] by Super 5579 with 4568 at 2
% 176.34/44.39 Id : 37165, {_}: ?25880 =<= join ?25880 (meet ?25880 ?25881) [25881, 25880] by Demod 36970 with 5581 at 2
% 176.34/44.39 Id : 47267, {_}: meet ?31777 (complement (meet (complement ?31777) ?31778)) =>= complement (complement ?31777) [31778, 31777] by Super 4482 with 37165 at 1,3
% 176.34/44.39 Id : 47356, {_}: meet ?31777 (join ?31777 (complement ?31778)) =>= complement (complement ?31777) [31778, 31777] by Demod 47267 with 5903 at 2,2
% 176.34/44.39 Id : 89952, {_}: meet ?62929 (join ?62929 (complement ?62930)) =>= ?62929 [62930, 62929] by Demod 47356 with 4382 at 3
% 176.34/44.39 Id : 90227, {_}: meet ?63166 (join ?63166 ?63167) =>= ?63166 [63167, 63166] by Super 89952 with 4382 at 2,2,2
% 176.34/44.39 Id : 90228, {_}: meet ?63169 (join ?63170 ?63169) =>= ?63169 [63170, 63169] by Super 90227 with 2 at 2,2
% 176.34/44.39 Id : 91099, {_}: join (complement ?109) ?110 =<= join (complement ?109) (meet ?109 ?110) [110, 109] by Demod 7718 with 90228 at 2,2,3
% 176.34/44.39 Id : 2217, {_}: join (complement ?118) ?119 =<= join (complement ?118) (meet (join (complement ?118) ?119) (meet ?118 ?119)) [119, 118] by Demod 2216 with 5 at 2,2,3
% 176.34/44.39 Id : 11811, {_}: join (complement ?118) ?119 =<= join (complement ?118) (meet (meet ?118 ?119) (join (complement ?118) ?119)) [119, 118] by Demod 2217 with 61 at 2,3
% 176.34/44.39 Id : 21256, {_}: join one (join ?16595 (complement sk1)) =>= join ?16595 (join top one) [16595] by Super 30 with 12062 at 2,3
% 176.34/44.39 Id : 21265, {_}: join one (complement (meet ?16608 sk1)) =<= join (complement ?16608) (join top one) [16608] by Super 21256 with 6176 at 2,2
% 176.34/44.39 Id : 21332, {_}: join one (complement (meet ?16608 sk1)) =>= join top (join one (complement ?16608)) [16608] by Demod 21265 with 21 at 3
% 176.34/44.39 Id : 25465, {_}: meet (complement one) (meet ?19240 sk1) =<= complement (join top (join one (complement ?19240))) [19240] by Super 4483 with 21332 at 1,3
% 176.34/44.39 Id : 45734, {_}: meet (complement one) (meet ?19240 sk1) =>= complement top [19240] by Demod 25465 with 36393 at 1,3
% 176.34/44.39 Id : 45735, {_}: meet (complement one) (meet ?19240 sk1) =>= zero [19240] by Demod 45734 with 253 at 3
% 176.34/44.39 Id : 45738, {_}: join (complement (complement one)) (meet ?30766 sk1) =<= join (complement (complement one)) (meet zero (join (complement (complement one)) (meet ?30766 sk1))) [30766] by Super 11811 with 45735 at 1,2,3
% 176.34/44.39 Id : 45792, {_}: join one (meet ?30766 sk1) =<= join (complement (complement one)) (meet zero (join (complement (complement one)) (meet ?30766 sk1))) [30766] by Demod 45738 with 4382 at 1,2
% 176.34/44.39 Id : 45793, {_}: join one (meet ?30766 sk1) =<= join one (meet zero (join (complement (complement one)) (meet ?30766 sk1))) [30766] by Demod 45792 with 4382 at 1,3
% 176.34/44.39 Id : 36349, {_}: meet zero ?25589 =>= complement top [25589] by Super 4382 with 36130 at 1,3
% 176.34/44.39 Id : 36402, {_}: meet zero ?25589 =>= zero [25589] by Demod 36349 with 253 at 3
% 176.34/44.39 Id : 45794, {_}: join one (meet ?30766 sk1) =>= join one zero [30766] by Demod 45793 with 36402 at 2,3
% 176.34/44.39 Id : 45795, {_}: join one (meet ?30766 sk1) =>= one [30766] by Demod 45794 with 2996 at 3
% 176.34/44.39 Id : 78062, {_}: join one (join (meet ?54785 sk1) ?54786) =>= join one ?54786 [54786, 54785] by Super 3 with 45795 at 1,3
% 176.34/44.39 Id : 78497, {_}: join one ?55103 =<= join one (meet (complement sk1) ?55103) [55103] by Super 78062 with 5893 at 2,2
% 176.34/44.39 Id : 78504, {_}: join one (complement ?55116) =<= join one (complement (join sk1 ?55116)) [55116] by Super 78497 with 5604 at 2,3
% 176.34/44.39 Id : 78767, {_}: meet (complement one) (join sk1 ?55253) =>= complement (join one (complement ?55253)) [55253] by Super 4483 with 78504 at 1,3
% 176.34/44.39 Id : 79103, {_}: meet (complement one) (join sk1 ?55500) =>= meet (complement one) ?55500 [55500] by Demod 78767 with 4483 at 3
% 176.34/44.39 Id : 362, {_}: join ?712 (join ?713 ?714) =?= join ?713 (join ?712 ?714) [714, 713, 712] by Demod 24 with 3 at 3
% 176.34/44.39 Id : 374, {_}: join ?759 (join ?760 (complement ?759)) =>= join ?760 top [760, 759] by Super 362 with 13 at 2,3
% 176.34/44.39 Id : 54041, {_}: join ?759 (join ?760 (complement ?759)) =>= top [760, 759] by Demod 374 with 36495 at 3
% 176.34/44.39 Id : 79129, {_}: meet (complement one) top =<= meet (complement one) (join ?55550 (complement sk1)) [55550] by Super 79103 with 54041 at 2,2
% 176.34/44.39 Id : 79242, {_}: meet top (complement one) =<= meet (complement one) (join ?55550 (complement sk1)) [55550] by Demod 79129 with 61 at 2
% 176.34/44.39 Id : 79243, {_}: complement one =<= meet (complement one) (join ?55550 (complement sk1)) [55550] by Demod 79242 with 4471 at 2
% 176.34/44.39 Id : 80722, {_}: join (join ?56333 (complement sk1)) (complement one) =>= join ?56333 (complement sk1) [56333] by Super 37276 with 79243 at 2,2
% 176.34/44.39 Id : 80814, {_}: join (complement one) (join ?56333 (complement sk1)) =>= join ?56333 (complement sk1) [56333] by Demod 80722 with 2 at 2
% 176.34/44.39 Id : 81994, {_}: join (complement sk1) (join (complement one) ?57317) =>= join ?57317 (complement sk1) [57317] by Demod 80814 with 21 at 2
% 176.34/44.39 Id : 82010, {_}: join (complement sk1) (complement one) =<= join (meet ?57347 (complement one)) (complement sk1) [57347] by Super 81994 with 37276 at 2,2
% 176.34/44.39 Id : 82131, {_}: complement (meet sk1 one) =<= join (meet ?57347 (complement one)) (complement sk1) [57347] by Demod 82010 with 6176 at 2
% 176.34/44.39 Id : 82132, {_}: complement (meet sk1 one) =<= join (complement sk1) (meet ?57347 (complement one)) [57347] by Demod 82131 with 2 at 3
% 176.34/44.39 Id : 12083, {_}: meet (complement one) sk1 =>= complement (join top one) [] by Super 4483 with 12062 at 1,3
% 176.34/44.39 Id : 12130, {_}: meet sk1 (complement one) =>= complement (join top one) [] by Demod 12083 with 61 at 2
% 176.34/44.39 Id : 12142, {_}: sk1 =<= join (meet sk1 one) (complement (join top one)) [] by Super 5581 with 12130 at 2,3
% 176.34/44.39 Id : 38271, {_}: sk1 =<= join (meet sk1 one) (complement top) [] by Demod 12142 with 36393 at 1,2,3
% 176.34/44.39 Id : 38272, {_}: sk1 =<= join (complement top) (meet sk1 one) [] by Demod 38271 with 2 at 3
% 176.34/44.39 Id : 38273, {_}: sk1 =<= join zero (meet sk1 one) [] by Demod 38272 with 253 at 1,3
% 176.34/44.39 Id : 38274, {_}: sk1 =<= meet sk1 one [] by Demod 38273 with 2951 at 3
% 176.34/44.39 Id : 82133, {_}: complement sk1 =<= join (complement sk1) (meet ?57347 (complement one)) [57347] by Demod 82132 with 38274 at 1,2
% 176.34/44.39 Id : 82680, {_}: join (meet ?57698 one) (complement sk1) =>= join ?57698 (complement sk1) [57698] by Super 5579 with 82133 at 2,2
% 176.34/44.39 Id : 82786, {_}: join (complement sk1) (meet ?57784 one) =>= join ?57784 (complement sk1) [57784] by Demod 82680 with 2 at 2
% 176.34/44.39 Id : 82789, {_}: join (complement sk1) (meet one ?57790) =>= join ?57790 (complement sk1) [57790] by Super 82786 with 61 at 2,2
% 176.34/44.39 Id : 83349, {_}: meet sk1 (complement (meet one ?58191)) =>= complement (join ?58191 (complement sk1)) [58191] by Super 4482 with 82789 at 1,3
% 176.34/44.39 Id : 83422, {_}: meet sk1 (complement (meet one ?58191)) =>= meet (complement ?58191) sk1 [58191] by Demod 83349 with 4483 at 3
% 176.34/44.39 Id : 84434, {_}: meet sk1 (complement (meet one ?58895)) =>= meet sk1 (complement ?58895) [58895] by Demod 83422 with 61 at 3
% 176.34/44.39 Id : 84460, {_}: meet sk1 (join (complement one) ?58935) =>= meet sk1 (complement (complement ?58935)) [58935] by Super 84434 with 5591 at 2,2
% 176.34/44.39 Id : 84581, {_}: meet sk1 (join (complement one) ?58935) =>= meet sk1 ?58935 [58935] by Demod 84460 with 4382 at 2,3
% 176.34/44.39 Id : 108184, {_}: meet sk1 (converse (join (complement one) ?75444)) =>= meet sk1 (converse ?75444) [75444] by Super 84581 with 97078 at 2,2
% 176.34/44.39 Id : 108220, {_}: meet sk1 (converse (join (complement one) ?75509)) =>= meet sk1 (converse (meet one ?75509)) [75509] by Super 108184 with 91099 at 1,2,2
% 176.34/44.39 Id : 97328, {_}: meet sk1 (converse (join (complement one) ?67877)) =>= meet sk1 (converse ?67877) [67877] by Super 84581 with 97078 at 2,2
% 176.34/44.39 Id : 108363, {_}: meet sk1 (converse ?75509) =<= meet sk1 (converse (meet one ?75509)) [75509] by Demod 108220 with 97328 at 2
% 176.34/44.39 Id : 108404, {_}: join (complement sk1) (converse (meet one ?75544)) =?= join (complement sk1) (meet sk1 (converse ?75544)) [75544] by Super 91099 with 108363 at 2,3
% 176.34/44.39 Id : 108504, {_}: join (complement sk1) (converse (meet one ?75544)) =>= join (complement sk1) (converse ?75544) [75544] by Demod 108404 with 91099 at 3
% 176.34/44.39 Id : 146141, {_}: join (complement one) (converse (meet one (complement (converse sk1)))) =>= join (complement sk1) (converse (complement (converse sk1))) [] by Demod 146140 with 108504 at 3
% 176.34/44.39 Id : 146142, {_}: converse (join (complement one) (meet one (complement (converse sk1)))) =>= join (complement sk1) (converse (complement (converse sk1))) [] by Demod 146141 with 97078 at 2
% 176.34/44.39 Id : 146143, {_}: converse (join (complement one) (complement (converse sk1))) =<= join (complement sk1) (converse (complement (converse sk1))) [] by Demod 146142 with 91099 at 1,2
% 176.34/44.39 Id : 146144, {_}: converse (complement (meet one (converse sk1))) =<= join (complement sk1) (converse (complement (converse sk1))) [] by Demod 146143 with 6176 at 1,2
% 176.34/44.39 Id : 101407, {_}: meet one (complement (converse ?70685)) =<= complement (converse (join (complement one) ?70685)) [70685] by Super 4482 with 97078 at 1,3
% 176.34/44.39 Id : 101424, {_}: meet one (complement (converse (meet ?70717 one))) =>= complement (converse (join ?70717 (complement one))) [70717] by Super 101407 with 47723 at 1,1,3
% 176.34/44.39 Id : 113757, {_}: meet one (complement (converse (meet ?70717 one))) =>= meet one (complement (converse ?70717)) [70717] by Demod 101424 with 98312 at 3
% 176.34/44.39 Id : 113772, {_}: complement (converse (meet ?78728 one)) =<= join (meet one (complement (converse ?78728))) (meet (complement (converse (meet ?78728 one))) (complement one)) [78728] by Super 5582 with 113757 at 1,3
% 176.34/44.39 Id : 113841, {_}: complement (converse (meet ?78728 one)) =<= join (meet one (complement (converse ?78728))) (meet (complement one) (complement (converse (meet ?78728 one)))) [78728] by Demod 113772 with 61 at 2,3
% 176.34/44.39 Id : 113842, {_}: complement (converse (meet ?78728 one)) =<= join (meet one (complement (converse ?78728))) (complement (join one (converse (meet ?78728 one)))) [78728] by Demod 113841 with 5604 at 2,3
% 176.34/44.39 Id : 113843, {_}: complement (converse (meet ?78728 one)) =<= join (meet one (complement (converse ?78728))) (complement (converse (join one (meet ?78728 one)))) [78728] by Demod 113842 with 2150 at 1,2,3
% 176.34/44.39 Id : 113844, {_}: complement (converse (meet ?78728 one)) =<= join (meet one (complement (converse ?78728))) (complement (converse one)) [78728] by Demod 113843 with 37276 at 1,1,2,3
% 176.34/44.39 Id : 113845, {_}: complement (converse (meet ?78728 one)) =<= join (complement (converse one)) (meet one (complement (converse ?78728))) [78728] by Demod 113844 with 2 at 3
% 176.34/44.39 Id : 113846, {_}: complement (converse (meet ?78728 one)) =<= join (complement one) (meet one (complement (converse ?78728))) [78728] by Demod 113845 with 2126 at 1,1,3
% 176.34/44.39 Id : 113847, {_}: complement (converse (meet ?78728 one)) =<= join (complement one) (complement (converse ?78728)) [78728] by Demod 113846 with 91099 at 3
% 176.34/44.39 Id : 113848, {_}: complement (converse (meet ?78728 one)) =<= complement (meet one (converse ?78728)) [78728] by Demod 113847 with 6176 at 3
% 176.34/44.39 Id : 113958, {_}: meet one (converse ?78841) =<= complement (complement (converse (meet ?78841 one))) [78841] by Super 4382 with 113848 at 1,3
% 176.34/44.39 Id : 114054, {_}: meet one (converse ?78841) =>= converse (meet ?78841 one) [78841] by Demod 113958 with 4382 at 3
% 176.34/44.39 Id : 146145, {_}: converse (complement (converse (meet sk1 one))) =<= join (complement sk1) (converse (complement (converse sk1))) [] by Demod 146144 with 114054 at 1,1,2
% 176.34/44.39 Id : 146146, {_}: converse (complement (converse sk1)) =<= join (complement sk1) (converse (complement (converse sk1))) [] by Demod 146145 with 38274 at 1,1,1,2
% 176.34/44.39 Id : 146314, {_}: converse (join (converse (complement (converse sk1))) (complement sk1)) =>= converse (converse (complement (converse sk1))) [] by Super 107 with 146146 at 1,2
% 176.34/44.39 Id : 146345, {_}: join (complement (converse sk1)) (converse (complement sk1)) =>= converse (converse (complement (converse sk1))) [] by Demod 146314 with 103 at 2
% 176.34/44.39 Id : 146346, {_}: join (complement (converse sk1)) (converse (complement sk1)) =>= complement (converse sk1) [] by Demod 146345 with 9 at 3
% 176.34/44.39 Id : 146347, {_}: join (converse (complement sk1)) (complement (converse sk1)) =>= complement (converse sk1) [] by Demod 146346 with 2 at 2
% 176.34/44.39 Id : 146745, {_}: meet (complement (converse (complement sk1))) (converse sk1) =>= complement (complement (converse sk1)) [] by Super 4483 with 146347 at 1,3
% 176.34/44.39 Id : 146812, {_}: meet (converse sk1) (complement (converse (complement sk1))) =>= complement (complement (converse sk1)) [] by Demod 146745 with 61 at 2
% 176.34/44.39 Id : 146813, {_}: meet (converse sk1) (complement (converse (complement sk1))) =>= converse sk1 [] by Demod 146812 with 4382 at 3
% 176.34/44.39 Id : 147261, {_}: complement (converse (complement sk1)) =<= join (converse sk1) (meet (complement (converse (complement sk1))) (complement (converse sk1))) [] by Super 5582 with 146813 at 1,3
% 176.34/44.39 Id : 147341, {_}: complement (converse (complement sk1)) =<= join (converse sk1) (meet (complement (converse sk1)) (complement (converse (complement sk1)))) [] by Demod 147261 with 61 at 2,3
% 176.34/44.39 Id : 147342, {_}: complement (converse (complement sk1)) =<= join (converse sk1) (complement (join (converse sk1) (converse (complement sk1)))) [] by Demod 147341 with 5604 at 2,3
% 176.34/44.39 Id : 147343, {_}: complement (converse (complement sk1)) =<= join (converse sk1) (complement (converse (join sk1 (complement sk1)))) [] by Demod 147342 with 10 at 1,2,3
% 176.34/44.39 Id : 147344, {_}: complement (converse (complement sk1)) =<= join (converse sk1) (complement (converse top)) [] by Demod 147343 with 13 at 1,1,2,3
% 176.34/44.39 Id : 147345, {_}: complement (converse (complement sk1)) =<= join (converse sk1) (complement top) [] by Demod 147344 with 11530 at 1,2,3
% 176.34/44.39 Id : 147346, {_}: complement (converse (complement sk1)) =<= join (converse sk1) zero [] by Demod 147345 with 253 at 2,3
% 176.34/44.39 Id : 147347, {_}: complement (converse (complement sk1)) =<= join zero (converse sk1) [] by Demod 147346 with 2 at 3
% 176.34/44.39 Id : 147348, {_}: complement (converse (complement sk1)) =>= converse sk1 [] by Demod 147347 with 2951 at 3
% 176.34/44.39 Id : 147425, {_}: converse (complement sk1) =<= complement (converse sk1) [] by Super 4382 with 147348 at 1,3
% 176.34/44.39 Id : 387031, {_}: meet (converse (complement sk1)) (meet one ?233266) =>= meet one (meet (complement (converse sk1)) ?233266) [233266] by Super 386824 with 147425 at 1,2
% 176.34/44.39 Id : 388524, {_}: meet (converse (complement sk1)) (meet one ?234167) =>= meet one (meet (converse (complement sk1)) ?234167) [234167] by Demod 387031 with 147425 at 1,2,3
% 176.34/44.39 Id : 101443, {_}: meet one (complement (converse (meet one ?70750))) =>= complement (converse (join (complement one) ?70750)) [70750] by Super 101407 with 91099 at 1,1,3
% 176.34/44.39 Id : 114878, {_}: meet one (complement (converse (meet one ?79436))) =>= meet one (complement (converse ?79436)) [79436] by Demod 101443 with 97345 at 3
% 176.34/44.39 Id : 114896, {_}: meet one (complement (converse (converse (meet ?79467 one)))) =>= meet one (complement (converse (converse ?79467))) [79467] by Super 114878 with 114054 at 1,1,2,2
% 176.34/44.39 Id : 115105, {_}: meet one (complement (meet ?79467 one)) =?= meet one (complement (converse (converse ?79467))) [79467] by Demod 114896 with 9 at 1,2,2
% 176.34/44.39 Id : 115232, {_}: meet one (complement (meet ?79573 one)) =>= meet one (complement ?79573) [79573] by Demod 115105 with 9 at 1,2,3
% 176.34/44.39 Id : 115235, {_}: meet one (complement (meet one ?79579)) =>= meet one (complement ?79579) [79579] by Super 115232 with 61 at 1,2,2
% 176.34/44.39 Id : 115419, {_}: meet one (complement (meet one ?79676)) =>= meet one (complement ?79676) [79676] by Super 115232 with 61 at 1,2,2
% 176.34/44.39 Id : 115457, {_}: meet one (join (complement one) ?79742) =>= meet one (complement (complement ?79742)) [79742] by Super 115419 with 5591 at 2,2
% 176.34/44.39 Id : 115885, {_}: meet one (join (complement one) ?79911) =>= meet one ?79911 [79911] by Demod 115457 with 4382 at 2,3
% 176.34/44.39 Id : 115893, {_}: meet one (complement one) =<= meet one (composition (converse ?79929) (complement (composition ?79929 one))) [79929] by Super 115885 with 118 at 2,2
% 176.34/44.39 Id : 116010, {_}: zero =<= meet one (composition (converse ?79929) (complement (composition ?79929 one))) [79929] by Demod 115893 with 14 at 2
% 176.34/44.39 Id : 223969, {_}: zero =<= meet one (composition (converse ?146303) (complement ?146303)) [146303] by Demod 116010 with 7 at 1,2,2,3
% 176.34/44.39 Id : 223978, {_}: zero =<= meet one (composition (converse (converse (complement sk1))) (converse sk1)) [] by Super 223969 with 147348 at 2,2,3
% 176.34/44.39 Id : 224294, {_}: zero =<= meet one (converse (composition sk1 (converse (complement sk1)))) [] by Demod 223978 with 11 at 2,3
% 176.34/44.39 Id : 224295, {_}: zero =<= converse (meet (composition sk1 (converse (complement sk1))) one) [] by Demod 224294 with 114054 at 3
% 176.34/44.39 Id : 224296, {_}: zero =<= converse (meet one (composition sk1 (converse (complement sk1)))) [] by Demod 224295 with 61 at 1,3
% 176.34/44.39 Id : 114317, {_}: meet one (converse ?79067) =>= converse (meet ?79067 one) [79067] by Demod 113958 with 4382 at 3
% 176.34/44.39 Id : 116, {_}: converse (composition ?273 (converse ?274)) =>= composition ?274 (converse ?273) [274, 273] by Super 114 with 9 at 1,3
% 176.34/44.39 Id : 114323, {_}: meet one (composition ?79083 (converse ?79084)) =<= converse (meet (composition ?79084 (converse ?79083)) one) [79084, 79083] by Super 114317 with 116 at 2,2
% 176.34/44.39 Id : 114452, {_}: meet one (composition ?79083 (converse ?79084)) =<= converse (meet one (composition ?79084 (converse ?79083))) [79084, 79083] by Demod 114323 with 61 at 1,3
% 176.34/44.39 Id : 224297, {_}: zero =<= meet one (composition (complement sk1) (converse sk1)) [] by Demod 224296 with 114452 at 3
% 176.34/44.39 Id : 224519, {_}: meet one (complement zero) =<= meet one (complement (composition (complement sk1) (converse sk1))) [] by Super 115235 with 224297 at 1,2,2
% 176.34/44.39 Id : 224566, {_}: meet one top =<= meet one (complement (composition (complement sk1) (converse sk1))) [] by Demod 224519 with 2978 at 2,2
% 176.34/44.39 Id : 224567, {_}: meet top one =<= meet one (complement (composition (complement sk1) (converse sk1))) [] by Demod 224566 with 61 at 2
% 176.34/44.39 Id : 224568, {_}: one =<= meet one (complement (composition (complement sk1) (converse sk1))) [] by Demod 224567 with 4471 at 2
% 176.34/44.39 Id : 388604, {_}: meet (converse (complement sk1)) one =<= meet one (meet (converse (complement sk1)) (complement (composition (complement sk1) (converse sk1)))) [] by Super 388524 with 224568 at 2,2
% 176.34/44.39 Id : 389048, {_}: meet one (converse (complement sk1)) =<= meet one (meet (converse (complement sk1)) (complement (composition (complement sk1) (converse sk1)))) [] by Demod 388604 with 61 at 2
% 176.34/44.39 Id : 147423, {_}: meet (converse (complement sk1)) (complement ?99792) =>= complement (join (converse sk1) ?99792) [99792] by Super 4482 with 147348 at 1,1,3
% 176.34/44.39 Id : 389049, {_}: meet one (converse (complement sk1)) =<= meet one (complement (join (converse sk1) (composition (complement sk1) (converse sk1)))) [] by Demod 389048 with 147423 at 2,3
% 176.34/44.39 Id : 389050, {_}: converse (meet (complement sk1) one) =<= meet one (complement (join (converse sk1) (composition (complement sk1) (converse sk1)))) [] by Demod 389049 with 114054 at 2
% 176.34/44.39 Id : 151618, {_}: composition (join ?102180 (converse ?102181)) (converse ?102182) =<= join (composition ?102180 (converse ?102182)) (converse (composition ?102182 ?102181)) [102182, 102181, 102180] by Super 8 with 11 at 2,3
% 176.34/44.39 Id : 151760, {_}: composition (join one (converse ?102683)) (converse ?102684) =<= join (converse ?102684) (converse (composition ?102684 ?102683)) [102684, 102683] by Super 151618 with 2148 at 1,3
% 176.34/44.39 Id : 152217, {_}: composition (converse (join one ?102683)) (converse ?102684) =<= join (converse ?102684) (converse (composition ?102684 ?102683)) [102684, 102683] by Demod 151760 with 2150 at 1,2
% 176.34/44.39 Id : 152218, {_}: composition (converse (join one ?102683)) (converse ?102684) =?= converse (join ?102684 (composition ?102684 ?102683)) [102684, 102683] by Demod 152217 with 10 at 3
% 176.34/44.39 Id : 288775, {_}: converse (composition ?180378 (join one ?180379)) =<= converse (join ?180378 (composition ?180378 ?180379)) [180379, 180378] by Demod 152218 with 11 at 2
% 176.34/44.39 Id : 288808, {_}: converse (composition (converse ?180454) (join one (converse ?180455))) =<= converse (join (converse ?180454) (converse (composition ?180455 ?180454))) [180455, 180454] by Super 288775 with 11 at 2,1,3
% 176.34/44.39 Id : 115, {_}: converse (composition (converse ?270) ?271) =>= composition (converse ?271) ?270 [271, 270] by Super 114 with 9 at 2,3
% 176.34/44.39 Id : 289229, {_}: composition (converse (join one (converse ?180455))) ?180454 =<= converse (join (converse ?180454) (converse (composition ?180455 ?180454))) [180454, 180455] by Demod 288808 with 115 at 2
% 176.34/44.39 Id : 289230, {_}: composition (converse (join one (converse ?180455))) ?180454 =<= join (converse (converse ?180454)) (composition ?180455 ?180454) [180454, 180455] by Demod 289229 with 102 at 3
% 176.34/44.39 Id : 289231, {_}: composition (join (converse one) ?180455) ?180454 =<= join (converse (converse ?180454)) (composition ?180455 ?180454) [180454, 180455] by Demod 289230 with 102 at 1,2
% 176.34/44.39 Id : 289232, {_}: composition (join (converse one) ?180455) ?180454 =?= join ?180454 (composition ?180455 ?180454) [180454, 180455] by Demod 289231 with 9 at 1,3
% 176.34/44.39 Id : 289233, {_}: composition (join one ?180455) ?180454 =<= join ?180454 (composition ?180455 ?180454) [180454, 180455] by Demod 289232 with 2126 at 1,1,2
% 176.34/44.39 Id : 389051, {_}: converse (meet (complement sk1) one) =<= meet one (complement (composition (join one (complement sk1)) (converse sk1))) [] by Demod 389050 with 289233 at 1,2,3
% 176.34/44.39 Id : 389052, {_}: converse (meet one (complement sk1)) =<= meet one (complement (composition (join one (complement sk1)) (converse sk1))) [] by Demod 389051 with 61 at 1,2
% 176.34/44.39 Id : 26866, {_}: top =<= join one (complement sk1) [] by Demod 12062 with 26807 at 2
% 176.34/44.39 Id : 389053, {_}: converse (meet one (complement sk1)) =<= meet one (complement (composition top (converse sk1))) [] by Demod 389052 with 26866 at 1,1,2,3
% 176.34/44.39 Id : 11599, {_}: converse (composition ?10184 top) =<= composition top (converse ?10184) [10184] by Super 116 with 11530 at 2,1,2
% 176.34/44.39 Id : 389054, {_}: converse (meet one (complement sk1)) =<= meet one (complement (converse (composition sk1 top))) [] by Demod 389053 with 11599 at 1,2,3
% 176.34/44.39 Id : 389195, {_}: meet one (complement (converse (meet one (complement sk1)))) =<= meet (complement (complement (converse (composition sk1 top)))) one [] by Super 144429 with 389054 at 1,2,2
% 176.34/44.39 Id : 101552, {_}: meet one (complement (converse (meet one ?70750))) =>= meet one (complement (converse ?70750)) [70750] by Demod 101443 with 97345 at 3
% 176.34/44.39 Id : 389259, {_}: meet one (complement (converse (complement sk1))) =<= meet (complement (complement (converse (composition sk1 top)))) one [] by Demod 389195 with 101552 at 2
% 176.34/44.39 Id : 389260, {_}: meet one (complement (converse (complement sk1))) =<= meet one (complement (complement (converse (composition sk1 top)))) [] by Demod 389259 with 61 at 3
% 176.34/44.39 Id : 101421, {_}: meet one (complement (converse (complement ?70712))) =>= complement (converse (complement (meet one ?70712))) [70712] by Super 101407 with 6176 at 1,1,3
% 176.34/44.39 Id : 389261, {_}: complement (converse (complement (meet one sk1))) =<= meet one (complement (complement (converse (composition sk1 top)))) [] by Demod 389260 with 101421 at 2
% 176.34/44.39 Id : 389262, {_}: complement (converse (complement (meet one sk1))) =<= meet one (converse (composition sk1 top)) [] by Demod 389261 with 4382 at 2,3
% 176.34/44.39 Id : 101717, {_}: meet one (complement (converse ?70885)) =<= complement (converse (join ?70885 (complement one))) [70885] by Demod 98191 with 61 at 2
% 176.34/44.39 Id : 101726, {_}: meet one (complement (converse (complement ?70900))) =>= complement (converse (complement (meet ?70900 one))) [70900] by Super 101717 with 6176 at 1,1,3
% 176.34/44.39 Id : 102118, {_}: complement (converse (complement (meet one ?70900))) =?= complement (converse (complement (meet ?70900 one))) [70900] by Demod 101726 with 101421 at 2
% 176.34/44.39 Id : 389263, {_}: complement (converse (complement (meet sk1 one))) =<= meet one (converse (composition sk1 top)) [] by Demod 389262 with 102118 at 2
% 176.34/44.39 Id : 389264, {_}: complement (converse (complement (meet sk1 one))) =>= converse (meet (composition sk1 top) one) [] by Demod 389263 with 114054 at 3
% 176.34/44.39 Id : 389265, {_}: complement (converse (complement sk1)) =<= converse (meet (composition sk1 top) one) [] by Demod 389264 with 38274 at 1,1,1,2
% 176.34/44.39 Id : 389266, {_}: complement (converse (complement sk1)) =<= converse (meet one (composition sk1 top)) [] by Demod 389265 with 61 at 1,3
% 176.34/44.39 Id : 389267, {_}: converse sk1 =<= converse (meet one (composition sk1 top)) [] by Demod 389266 with 147348 at 2
% 176.34/44.39 Id : 389725, {_}: converse (converse sk1) =<= meet one (composition sk1 top) [] by Super 9 with 389267 at 1,2
% 176.34/44.39 Id : 389854, {_}: sk1 =<= meet one (composition sk1 top) [] by Demod 389725 with 9 at 2
% 176.34/44.39 Id : 389978, {_}: meet one (complement sk1) =<= meet (complement (composition sk1 top)) one [] by Super 144429 with 389854 at 1,2,2
% 176.34/44.39 Id : 390162, {_}: meet one (complement sk1) =<= meet one (complement (composition sk1 top)) [] by Demod 389978 with 61 at 3
% 176.34/44.39 Id : 391385, {_}: meet one (complement sk1) =?= meet one (complement sk1) [] by Demod 391384 with 390162 at 2
% 176.34/44.39 Id : 391384, {_}: meet one (complement (composition sk1 top)) =>= meet one (complement sk1) [] by Demod 391383 with 61 at 3
% 176.34/44.39 Id : 391383, {_}: meet one (complement (composition sk1 top)) =>= meet (complement sk1) one [] by Demod 1 with 61 at 2
% 176.34/44.39 Id : 1, {_}: meet (complement (composition sk1 top)) one =>= meet (complement sk1) one [] by goals_15
% 176.34/44.39 % SZS output end CNFRefutation for theBenchmark.p
% 176.34/44.39 28374: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 44.044535 using kbo
%------------------------------------------------------------------------------