TSTP Solution File: REL011-2 by Matita---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : REL011-2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n021.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 19:42:00 EDT 2022
% Result : Unsatisfiable 67.53s 17.20s
% Output : CNFRefutation 67.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : REL011-2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jul 8 14:10:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 29879: Facts:
% 0.12/0.33 29879: Id : 2, {_}:
% 0.12/0.33 join ?2 ?3 =?= join ?3 ?2
% 0.12/0.33 [3, 2] by maddux1_join_commutativity_1 ?2 ?3
% 0.12/0.33 29879: Id : 3, {_}:
% 0.12/0.33 join ?5 (join ?6 ?7) =?= join (join ?5 ?6) ?7
% 0.12/0.33 [7, 6, 5] by maddux2_join_associativity_2 ?5 ?6 ?7
% 0.12/0.33 29879: Id : 4, {_}:
% 0.12/0.33 ?9
% 0.12/0.33 =<=
% 0.12/0.33 join (complement (join (complement ?9) (complement ?10)))
% 0.12/0.33 (complement (join (complement ?9) ?10))
% 0.12/0.33 [10, 9] by maddux3_a_kind_of_de_Morgan_3 ?9 ?10
% 0.12/0.33 29879: Id : 5, {_}:
% 0.12/0.33 meet ?12 ?13 =<= complement (join (complement ?12) (complement ?13))
% 0.12/0.33 [13, 12] by maddux4_definiton_of_meet_4 ?12 ?13
% 0.12/0.33 29879: Id : 6, {_}:
% 0.12/0.33 composition ?15 (composition ?16 ?17)
% 0.12/0.33 =?=
% 0.12/0.33 composition (composition ?15 ?16) ?17
% 0.12/0.33 [17, 16, 15] by composition_associativity_5 ?15 ?16 ?17
% 0.12/0.33 29879: Id : 7, {_}: composition ?19 one =>= ?19 [19] by composition_identity_6 ?19
% 0.12/0.33 29879: Id : 8, {_}:
% 0.12/0.33 composition (join ?21 ?22) ?23
% 0.12/0.33 =<=
% 0.12/0.33 join (composition ?21 ?23) (composition ?22 ?23)
% 0.12/0.33 [23, 22, 21] by composition_distributivity_7 ?21 ?22 ?23
% 0.12/0.33 29879: Id : 9, {_}:
% 0.12/0.33 converse (converse ?25) =>= ?25
% 0.12/0.33 [25] by converse_idempotence_8 ?25
% 0.12/0.33 29879: Id : 10, {_}:
% 0.12/0.33 converse (join ?27 ?28) =<= join (converse ?27) (converse ?28)
% 0.12/0.33 [28, 27] by converse_additivity_9 ?27 ?28
% 0.12/0.33 29879: Id : 11, {_}:
% 0.12/0.33 converse (composition ?30 ?31)
% 0.12/0.33 =<=
% 0.12/0.33 composition (converse ?31) (converse ?30)
% 0.12/0.33 [31, 30] by converse_multiplicativity_10 ?30 ?31
% 0.12/0.33 29879: Id : 12, {_}:
% 0.12/0.33 join (composition (converse ?33) (complement (composition ?33 ?34)))
% 0.12/0.33 (complement ?34)
% 0.12/0.33 =>=
% 0.12/0.33 complement ?34
% 0.12/0.33 [34, 33] by converse_cancellativity_11 ?33 ?34
% 0.12/0.33 29879: Id : 13, {_}: top =<= join ?36 (complement ?36) [36] by def_top_12 ?36
% 0.12/0.33 29879: Id : 14, {_}: zero =<= meet ?38 (complement ?38) [38] by def_zero_13 ?38
% 0.12/0.33 29879: Id : 15, {_}:
% 0.12/0.33 join (meet (composition ?40 ?41) ?42)
% 0.12/0.33 (composition (meet ?40 (composition ?42 (converse ?41)))
% 0.12/0.33 (meet ?41 (composition (converse ?40) ?42)))
% 0.12/0.33 =>=
% 0.12/0.33 composition (meet ?40 (composition ?42 (converse ?41)))
% 0.12/0.33 (meet ?41 (composition (converse ?40) ?42))
% 0.12/0.33 [42, 41, 40] by dedekind_law_14 ?40 ?41 ?42
% 0.12/0.33 29879: Id : 16, {_}:
% 0.12/0.33 join (meet (composition ?44 ?45) ?46)
% 0.12/0.33 (meet (composition ?44 (meet ?45 (composition (converse ?44) ?46)))
% 0.12/0.33 ?46)
% 0.12/0.33 =>=
% 0.12/0.33 meet (composition ?44 (meet ?45 (composition (converse ?44) ?46)))
% 0.12/0.33 ?46
% 0.12/0.33 [46, 45, 44] by modular_law_1_15 ?44 ?45 ?46
% 0.12/0.33 29879: Id : 17, {_}:
% 0.12/0.33 join (meet (composition ?48 ?49) ?50)
% 0.12/0.33 (meet (composition (meet ?48 (composition ?50 (converse ?49))) ?49)
% 0.12/0.33 ?50)
% 0.12/0.33 =>=
% 0.12/0.33 meet (composition (meet ?48 (composition ?50 (converse ?49))) ?49)
% 0.12/0.33 ?50
% 0.12/0.33 [50, 49, 48] by modular_law_2_16 ?48 ?49 ?50
% 0.12/0.33 29879: Id : 18, {_}:
% 0.12/0.33 meet sk1 (composition (converse sk2) sk3) =>= zero
% 0.12/0.33 [] by goals_17
% 0.12/0.33 29879: Goal:
% 0.12/0.33 29879: Id : 1, {_}: meet (composition sk2 sk1) sk3 =>= zero [] by goals_18
% 67.53/17.20 Statistics :
% 67.53/17.20 Max weight : 28
% 67.53/17.20 Found proof, 16.865430s
% 67.53/17.20 % SZS status Unsatisfiable for theBenchmark.p
% 67.53/17.20 % SZS output start CNFRefutation for theBenchmark.p
% 67.53/17.20 Id : 6, {_}: composition ?15 (composition ?16 ?17) =?= composition (composition ?15 ?16) ?17 [17, 16, 15] by composition_associativity_5 ?15 ?16 ?17
% 67.53/17.20 Id : 15, {_}: join (meet (composition ?40 ?41) ?42) (composition (meet ?40 (composition ?42 (converse ?41))) (meet ?41 (composition (converse ?40) ?42))) =>= composition (meet ?40 (composition ?42 (converse ?41))) (meet ?41 (composition (converse ?40) ?42)) [42, 41, 40] by dedekind_law_14 ?40 ?41 ?42
% 67.53/17.20 Id : 119, {_}: converse (join ?356 ?357) =<= join (converse ?356) (converse ?357) [357, 356] by converse_additivity_9 ?356 ?357
% 67.53/17.20 Id : 11, {_}: converse (composition ?30 ?31) =<= composition (converse ?31) (converse ?30) [31, 30] by converse_multiplicativity_10 ?30 ?31
% 67.53/17.20 Id : 10, {_}: converse (join ?27 ?28) =<= join (converse ?27) (converse ?28) [28, 27] by converse_additivity_9 ?27 ?28
% 67.53/17.20 Id : 8, {_}: composition (join ?21 ?22) ?23 =<= join (composition ?21 ?23) (composition ?22 ?23) [23, 22, 21] by composition_distributivity_7 ?21 ?22 ?23
% 67.53/17.20 Id : 18, {_}: meet sk1 (composition (converse sk2) sk3) =>= zero [] by goals_17
% 67.53/17.20 Id : 3, {_}: join ?5 (join ?6 ?7) =?= join (join ?5 ?6) ?7 [7, 6, 5] by maddux2_join_associativity_2 ?5 ?6 ?7
% 67.53/17.20 Id : 48, {_}: ?168 =<= join (complement (join (complement ?168) (complement ?169))) (complement (join (complement ?168) ?169)) [169, 168] by maddux3_a_kind_of_de_Morgan_3 ?168 ?169
% 67.53/17.20 Id : 13, {_}: top =<= join ?36 (complement ?36) [36] by def_top_12 ?36
% 67.53/17.20 Id : 28, {_}: join ?84 (join ?85 ?86) =?= join (join ?84 ?85) ?86 [86, 85, 84] by maddux2_join_associativity_2 ?84 ?85 ?86
% 67.53/17.20 Id : 9, {_}: converse (converse ?25) =>= ?25 [25] by converse_idempotence_8 ?25
% 67.53/17.20 Id : 132, {_}: converse (composition ?386 ?387) =<= composition (converse ?387) (converse ?386) [387, 386] by converse_multiplicativity_10 ?386 ?387
% 67.53/17.20 Id : 7, {_}: composition ?19 one =>= ?19 [19] by composition_identity_6 ?19
% 67.53/17.20 Id : 12, {_}: join (composition (converse ?33) (complement (composition ?33 ?34))) (complement ?34) =>= complement ?34 [34, 33] by converse_cancellativity_11 ?33 ?34
% 67.53/17.20 Id : 14, {_}: zero =<= meet ?38 (complement ?38) [38] by def_zero_13 ?38
% 67.53/17.20 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
% 67.53/17.20 Id : 16, {_}: join (meet (composition ?44 ?45) ?46) (meet (composition ?44 (meet ?45 (composition (converse ?44) ?46))) ?46) =>= meet (composition ?44 (meet ?45 (composition (converse ?44) ?46))) ?46 [46, 45, 44] by modular_law_1_15 ?44 ?45 ?46
% 67.53/17.20 Id : 5, {_}: meet ?12 ?13 =<= complement (join (complement ?12) (complement ?13)) [13, 12] by maddux4_definiton_of_meet_4 ?12 ?13
% 67.53/17.20 Id : 2, {_}: join ?2 ?3 =?= join ?3 ?2 [3, 2] by maddux1_join_commutativity_1 ?2 ?3
% 67.53/17.20 Id : 63, {_}: meet ?204 ?205 =<= complement (join (complement ?204) (complement ?205)) [205, 204] by maddux4_definiton_of_meet_4 ?204 ?205
% 67.53/17.20 Id : 66, {_}: meet ?215 ?216 =<= complement (join (complement ?216) (complement ?215)) [216, 215] by Super 63 with 2 at 1,3
% 67.53/17.20 Id : 70, {_}: meet ?215 ?216 =?= meet ?216 ?215 [216, 215] by Demod 66 with 5 at 3
% 67.53/17.20 Id : 59, {_}: ?9 =<= join (meet ?9 ?10) (complement (join (complement ?9) ?10)) [10, 9] by Demod 4 with 5 at 1,3
% 67.53/17.20 Id : 60, {_}: ?9 =<= join (complement (join (complement ?9) ?10)) (meet ?9 ?10) [10, 9] by Demod 59 with 2 at 3
% 67.53/17.20 Id : 168, {_}: ?466 =<= join (complement (join (complement ?466) (complement ?466))) zero [466] by Super 60 with 14 at 2,3
% 67.53/17.20 Id : 172, {_}: ?466 =<= join zero (complement (join (complement ?466) (complement ?466))) [466] by Demod 168 with 2 at 3
% 67.53/17.20 Id : 173, {_}: ?466 =<= join zero (meet ?466 ?466) [466] by Demod 172 with 5 at 2,3
% 67.53/17.20 Id : 137, {_}: join (complement ?34) (composition (converse ?33) (complement (composition ?33 ?34))) =>= complement ?34 [33, 34] by Demod 12 with 2 at 2
% 67.53/17.20 Id : 896, {_}: converse (composition (converse ?2159) ?2160) =>= composition (converse ?2160) ?2159 [2160, 2159] by Super 132 with 9 at 2,3
% 67.53/17.20 Id : 901, {_}: converse (converse ?2177) =<= composition (converse one) ?2177 [2177] by Super 896 with 7 at 1,2
% 67.53/17.20 Id : 928, {_}: ?2177 =<= composition (converse one) ?2177 [2177] by Demod 901 with 9 at 2
% 67.53/17.20 Id : 939, {_}: one =<= converse one [] by Super 7 with 928 at 2
% 67.53/17.20 Id : 1158, {_}: join (complement ?2976) (composition one (complement (composition one ?2976))) =>= complement ?2976 [2976] by Super 137 with 939 at 1,2,2
% 67.53/17.20 Id : 1146, {_}: ?2177 =<= composition one ?2177 [2177] by Demod 928 with 939 at 1,3
% 67.53/17.20 Id : 1169, {_}: join (complement ?2976) (complement (composition one ?2976)) =>= complement ?2976 [2976] by Demod 1158 with 1146 at 2,2
% 67.53/17.20 Id : 1170, {_}: join (complement ?2976) (complement ?2976) =>= complement ?2976 [2976] by Demod 1169 with 1146 at 1,2,2
% 67.53/17.20 Id : 1769, {_}: meet ?4286 ?4286 =>= complement (complement ?4286) [4286] by Super 5 with 1170 at 1,3
% 67.53/17.20 Id : 1837, {_}: ?466 =<= join zero (complement (complement ?466)) [466] by Demod 173 with 1769 at 2,3
% 67.53/17.20 Id : 29, {_}: join ?88 (join ?89 ?90) =?= join (join ?89 ?88) ?90 [90, 89, 88] by Super 28 with 2 at 1,3
% 67.53/17.20 Id : 1771, {_}: join (complement ?4291) (complement ?4291) =>= complement ?4291 [4291] by Demod 1169 with 1146 at 1,2,2
% 67.53/17.20 Id : 160, {_}: meet ?451 (complement ?451) =>= complement top [451] by Super 5 with 13 at 1,3
% 67.53/17.20 Id : 344, {_}: zero =<= complement top [] by Demod 160 with 14 at 2
% 67.53/17.20 Id : 1773, {_}: join (complement top) zero =>= complement top [] by Super 1771 with 344 at 2,2
% 67.53/17.20 Id : 1791, {_}: join zero (complement top) =>= complement top [] by Demod 1773 with 2 at 2
% 67.53/17.20 Id : 1792, {_}: join zero (complement top) =>= zero [] by Demod 1791 with 344 at 3
% 67.53/17.20 Id : 1793, {_}: join zero zero =>= zero [] by Demod 1792 with 344 at 2,2
% 67.53/17.20 Id : 1878, {_}: join zero (join zero ?4392) =>= join zero ?4392 [4392] by Super 29 with 1793 at 1,3
% 67.53/17.20 Id : 1890, {_}: join zero ?4414 =<= join zero (complement (complement ?4414)) [4414] by Super 1878 with 1837 at 2,2
% 67.53/17.20 Id : 1933, {_}: join zero ?4414 =>= ?4414 [4414] by Demod 1890 with 1837 at 3
% 67.53/17.20 Id : 1949, {_}: ?466 =<= complement (complement ?466) [466] by Demod 1837 with 1933 at 3
% 67.53/17.20 Id : 17617, {_}: join (complement ?18453) (complement ?18454) =<= join (complement (join (meet ?18453 ?18454) ?18455)) (meet (join (complement ?18453) (complement ?18454)) ?18455) [18455, 18454, 18453] by Super 60 with 5 at 1,1,1,3
% 67.53/17.20 Id : 1964, {_}: top =<= complement zero [] by Super 13 with 1933 at 3
% 67.53/17.20 Id : 2007, {_}: meet ?4493 zero =<= complement (join (complement ?4493) top) [4493] by Super 5 with 1964 at 2,1,3
% 67.53/17.20 Id : 2025, {_}: meet ?4493 zero =<= complement (join top (complement ?4493)) [4493] by Demod 2007 with 2 at 1,3
% 67.53/17.20 Id : 2008, {_}: meet zero ?4495 =<= complement (join top (complement ?4495)) [4495] by Super 5 with 1964 at 1,1,3
% 67.53/17.20 Id : 2598, {_}: join top (complement ?5954) =>= complement (meet zero ?5954) [5954] by Super 1949 with 2008 at 1,3
% 67.53/17.20 Id : 2693, {_}: meet ?4493 zero =<= complement (complement (meet zero ?4493)) [4493] by Demod 2025 with 2598 at 1,3
% 67.53/17.20 Id : 2694, {_}: meet ?4493 zero =?= meet zero ?4493 [4493] by Demod 2693 with 1949 at 3
% 67.53/17.20 Id : 54, {_}: join (complement ?186) (complement ?187) =<= join (complement ?186) (complement (join (complement (join (complement ?186) (complement ?187))) (join (complement ?186) ?187))) [187, 186] by Super 48 with 4 at 1,1,3
% 67.53/17.20 Id : 8693, {_}: join (complement ?186) (complement ?187) =<= join (complement ?186) (complement (join (meet ?186 ?187) (join (complement ?186) ?187))) [187, 186] by Demod 54 with 5 at 1,1,2,3
% 67.53/17.20 Id : 25, {_}: join ?72 (join ?73 ?74) =?= join ?73 (join ?74 ?72) [74, 73, 72] by Super 2 with 3 at 3
% 67.53/17.20 Id : 8713, {_}: join (complement ?11471) (complement ?11472) =<= join (complement ?11471) (complement (join (complement ?11471) (join ?11472 (meet ?11471 ?11472)))) [11472, 11471] by Demod 8693 with 25 at 1,2,3
% 67.53/17.20 Id : 8723, {_}: join (complement zero) (complement ?11490) =<= join (complement zero) (complement (join (complement zero) (join ?11490 (meet ?11490 zero)))) [11490] by Super 8713 with 2694 at 2,2,1,2,3
% 67.53/17.20 Id : 8841, {_}: join top (complement ?11490) =<= join (complement zero) (complement (join (complement zero) (join ?11490 (meet ?11490 zero)))) [11490] by Demod 8723 with 1964 at 1,2
% 67.53/17.20 Id : 8842, {_}: join top (complement ?11490) =<= join top (complement (join (complement zero) (join ?11490 (meet ?11490 zero)))) [11490] by Demod 8841 with 1964 at 1,3
% 67.53/17.20 Id : 8843, {_}: join top (complement ?11490) =<= join top (complement (join top (join ?11490 (meet ?11490 zero)))) [11490] by Demod 8842 with 1964 at 1,1,2,3
% 67.53/17.20 Id : 1961, {_}: join ?4429 zero =>= ?4429 [4429] by Super 2 with 1933 at 3
% 67.53/17.20 Id : 2054, {_}: ?4580 =<= join (complement (complement ?4580)) (meet ?4580 zero) [4580] by Super 60 with 1961 at 1,1,3
% 67.53/17.20 Id : 2078, {_}: ?4580 =<= join ?4580 (meet ?4580 zero) [4580] by Demod 2054 with 1949 at 1,3
% 67.53/17.20 Id : 8844, {_}: join top (complement ?11490) =<= join top (complement (join top ?11490)) [11490] by Demod 8843 with 2078 at 2,1,2,3
% 67.53/17.20 Id : 8845, {_}: complement (meet zero ?11490) =<= join top (complement (join top ?11490)) [11490] by Demod 8844 with 2598 at 2
% 67.53/17.20 Id : 11773, {_}: complement (meet zero ?13906) =<= complement (meet zero (join top ?13906)) [13906] by Demod 8845 with 2598 at 3
% 67.53/17.20 Id : 11774, {_}: complement (meet zero ?13908) =<= complement (meet zero (join ?13908 top)) [13908] by Super 11773 with 2 at 2,1,3
% 67.53/17.20 Id : 12640, {_}: meet zero (join ?14483 top) =>= complement (complement (meet zero ?14483)) [14483] by Super 1949 with 11774 at 1,3
% 67.53/17.20 Id : 12685, {_}: meet zero (join ?14483 top) =>= meet zero ?14483 [14483] by Demod 12640 with 1949 at 3
% 67.53/17.20 Id : 49, {_}: ?171 =<= join (complement (join (complement ?171) (complement ?172))) (complement (join ?172 (complement ?171))) [172, 171] by Super 48 with 2 at 1,2,3
% 67.53/17.20 Id : 4578, {_}: ?171 =<= join (meet ?171 ?172) (complement (join ?172 (complement ?171))) [172, 171] by Demod 49 with 5 at 1,3
% 67.53/17.20 Id : 4593, {_}: ?8098 =<= join (complement (join ?8099 (complement ?8098))) (meet ?8098 ?8099) [8099, 8098] by Demod 4578 with 2 at 3
% 67.53/17.20 Id : 157, {_}: join (complement ?445) ?445 =>= top [445] by Super 2 with 13 at 3
% 67.53/17.20 Id : 325, {_}: meet (complement ?901) ?901 =>= complement top [901] by Super 5 with 157 at 1,3
% 67.53/17.20 Id : 374, {_}: meet (complement ?901) ?901 =>= zero [901] by Demod 325 with 344 at 3
% 67.53/17.21 Id : 4595, {_}: complement ?8102 =<= join (complement (join ?8102 (complement (complement ?8102)))) zero [8102] by Super 4593 with 374 at 2,3
% 67.53/17.21 Id : 4642, {_}: complement ?8102 =<= join zero (complement (join ?8102 (complement (complement ?8102)))) [8102] by Demod 4595 with 2 at 3
% 67.53/17.21 Id : 4643, {_}: complement ?8102 =<= complement (join ?8102 (complement (complement ?8102))) [8102] by Demod 4642 with 1933 at 3
% 67.53/17.21 Id : 4644, {_}: complement ?8102 =<= complement (join ?8102 ?8102) [8102] by Demod 4643 with 1949 at 2,1,3
% 67.53/17.21 Id : 4773, {_}: join ?8234 ?8234 =>= complement (complement ?8234) [8234] by Super 1949 with 4644 at 1,3
% 67.53/17.21 Id : 4827, {_}: join ?8234 ?8234 =>= ?8234 [8234] by Demod 4773 with 1949 at 3
% 67.53/17.21 Id : 15977, {_}: join ?16625 (join ?16625 ?16626) =>= join ?16625 ?16626 [16626, 16625] by Super 29 with 4827 at 1,3
% 67.53/17.21 Id : 16019, {_}: join ?16744 top =<= join ?16744 (complement ?16744) [16744] by Super 15977 with 13 at 2,2
% 67.53/17.21 Id : 16174, {_}: join ?16744 top =>= top [16744] by Demod 16019 with 13 at 3
% 67.53/17.21 Id : 16272, {_}: meet zero top =?= meet zero ?14483 [14483] by Demod 12685 with 16174 at 2,2
% 67.53/17.21 Id : 348, {_}: meet ?932 top =<= complement (join (complement ?932) zero) [932] by Super 5 with 344 at 2,1,3
% 67.53/17.21 Id : 355, {_}: meet ?932 top =<= complement (join zero (complement ?932)) [932] by Demod 348 with 2 at 1,3
% 67.53/17.21 Id : 349, {_}: meet top ?934 =<= complement (join zero (complement ?934)) [934] by Super 5 with 344 at 1,1,3
% 67.53/17.21 Id : 522, {_}: meet ?932 top =?= meet top ?932 [932] by Demod 355 with 349 at 3
% 67.53/17.21 Id : 1944, {_}: meet top ?934 =>= complement (complement ?934) [934] by Demod 349 with 1933 at 1,3
% 67.53/17.21 Id : 1951, {_}: meet top ?934 =>= ?934 [934] by Demod 1944 with 1949 at 3
% 67.53/17.21 Id : 1954, {_}: meet ?932 top =>= ?932 [932] by Demod 522 with 1951 at 3
% 67.53/17.21 Id : 16288, {_}: zero =<= meet zero ?14483 [14483] by Demod 16272 with 1954 at 2
% 67.53/17.21 Id : 16300, {_}: meet ?4493 zero =>= zero [4493] by Demod 2694 with 16288 at 3
% 67.53/17.21 Id : 17634, {_}: join (complement ?18514) (complement ?18515) =<= join (complement (join (meet ?18514 ?18515) zero)) zero [18515, 18514] by Super 17617 with 16300 at 2,3
% 67.53/17.21 Id : 17741, {_}: join (complement ?18514) (complement ?18515) =<= join zero (complement (join (meet ?18514 ?18515) zero)) [18515, 18514] by Demod 17634 with 2 at 3
% 67.53/17.21 Id : 17742, {_}: join (complement ?18514) (complement ?18515) =<= complement (join (meet ?18514 ?18515) zero) [18515, 18514] by Demod 17741 with 1933 at 3
% 67.53/17.21 Id : 17743, {_}: join (complement ?18514) (complement ?18515) =<= complement (join zero (meet ?18514 ?18515)) [18515, 18514] by Demod 17742 with 2 at 1,3
% 67.53/17.21 Id : 17831, {_}: join (complement ?18683) (complement ?18684) =>= complement (meet ?18683 ?18684) [18684, 18683] by Demod 17743 with 1933 at 1,3
% 67.53/17.21 Id : 17833, {_}: join (complement ?18688) ?18689 =<= complement (meet ?18688 (complement ?18689)) [18689, 18688] by Super 17831 with 1949 at 2,2
% 67.53/17.21 Id : 18137, {_}: meet ?18912 (complement ?18913) =<= complement (join (complement ?18912) ?18913) [18913, 18912] by Super 1949 with 17833 at 1,3
% 67.53/17.21 Id : 47, {_}: join (complement (join (complement ?164) (complement ?165))) (join (complement (join (complement ?164) ?165)) ?166) =>= join ?164 ?166 [166, 165, 164] by Super 3 with 4 at 1,3
% 67.53/17.21 Id : 2997, {_}: join (meet ?164 ?165) (join (complement (join (complement ?164) ?165)) ?166) =>= join ?164 ?166 [166, 165, 164] by Demod 47 with 5 at 1,2
% 67.53/17.21 Id : 2998, {_}: join (complement (join (complement ?164) ?165)) (join ?166 (meet ?164 ?165)) =>= join ?164 ?166 [166, 165, 164] by Demod 2997 with 25 at 2
% 67.53/17.21 Id : 18305, {_}: join (meet ?164 (complement ?165)) (join ?166 (meet ?164 ?165)) =>= join ?164 ?166 [166, 165, 164] by Demod 2998 with 18137 at 1,2
% 67.53/17.21 Id : 16911, {_}: join ?17706 (join ?17707 ?17706) =>= join ?17707 ?17706 [17707, 17706] by Super 25 with 4827 at 2,3
% 67.53/17.21 Id : 52, {_}: ?180 =<= join (complement (join (complement ?181) (complement ?180))) (complement (join (complement ?180) ?181)) [181, 180] by Super 48 with 2 at 1,1,3
% 67.53/17.21 Id : 6344, {_}: ?180 =<= join (meet ?181 ?180) (complement (join (complement ?180) ?181)) [181, 180] by Demod 52 with 5 at 1,3
% 67.53/17.21 Id : 6345, {_}: ?180 =<= join (complement (join (complement ?180) ?181)) (meet ?181 ?180) [181, 180] by Demod 6344 with 2 at 3
% 67.53/17.21 Id : 16956, {_}: join (meet ?17852 ?17853) ?17853 =<= join (complement (join (complement ?17853) ?17852)) (meet ?17852 ?17853) [17853, 17852] by Super 16911 with 6345 at 2,2
% 67.53/17.21 Id : 17082, {_}: join (meet ?17852 ?17853) ?17853 =>= ?17853 [17853, 17852] by Demod 16956 with 6345 at 3
% 67.53/17.21 Id : 24818, {_}: join ?23644 (meet ?23645 ?23644) =>= ?23644 [23645, 23644] by Super 2 with 17082 at 3
% 67.53/17.21 Id : 31758, {_}: join (meet ?28320 (complement ?28321)) ?28321 =>= join ?28320 ?28321 [28321, 28320] by Super 18305 with 24818 at 2,2
% 67.53/17.21 Id : 90550, {_}: join ?74998 (meet ?74999 (complement ?74998)) =>= join ?74999 ?74998 [74999, 74998] by Super 2 with 31758 at 3
% 67.53/17.21 Id : 110499, {_}: join ?91193 (meet (complement ?91193) ?91194) =>= join ?91194 ?91193 [91194, 91193] by Super 90550 with 70 at 2,2
% 67.53/17.21 Id : 18325, {_}: meet ?19172 (complement ?19173) =<= complement (join (complement ?19172) ?19173) [19173, 19172] by Super 1949 with 17833 at 1,3
% 67.53/17.21 Id : 18327, {_}: meet (complement ?19177) (complement ?19178) =>= complement (join ?19177 ?19178) [19178, 19177] by Super 18325 with 1949 at 1,1,3
% 67.53/17.21 Id : 110526, {_}: join ?91276 (complement (join ?91276 ?91277)) =>= join (complement ?91277) ?91276 [91277, 91276] by Super 110499 with 18327 at 2,2
% 67.53/17.21 Id : 125811, {_}: meet ?104879 (complement (complement (join (complement ?104879) ?104880))) =>= complement (join (complement ?104880) (complement ?104879)) [104880, 104879] by Super 18137 with 110526 at 1,3
% 67.53/17.21 Id : 126050, {_}: meet ?104879 (join (complement ?104879) ?104880) =>= complement (join (complement ?104880) (complement ?104879)) [104880, 104879] by Demod 125811 with 1949 at 2,2
% 67.53/17.21 Id : 126051, {_}: meet ?104879 (join (complement ?104879) ?104880) =>= meet ?104880 (complement (complement ?104879)) [104880, 104879] by Demod 126050 with 18137 at 3
% 67.53/17.21 Id : 126052, {_}: meet ?104879 (join (complement ?104879) ?104880) =>= meet ?104880 ?104879 [104880, 104879] by Demod 126051 with 1949 at 2,3
% 67.53/17.21 Id : 4594, {_}: sk1 =<= join (complement (join (composition (converse sk2) sk3) (complement sk1))) zero [] by Super 4593 with 18 at 2,3
% 67.53/17.21 Id : 4639, {_}: sk1 =<= join zero (complement (join (composition (converse sk2) sk3) (complement sk1))) [] by Demod 4594 with 2 at 3
% 67.53/17.21 Id : 4640, {_}: sk1 =<= complement (join (composition (converse sk2) sk3) (complement sk1)) [] by Demod 4639 with 1933 at 3
% 67.53/17.21 Id : 4641, {_}: sk1 =<= complement (join (complement sk1) (composition (converse sk2) sk3)) [] by Demod 4640 with 2 at 1,3
% 67.53/17.21 Id : 15813, {_}: join (complement sk1) (composition (converse sk2) sk3) =>= complement sk1 [] by Super 1949 with 4641 at 1,3
% 67.53/17.21 Id : 15868, {_}: join (complement sk1) (join (composition (converse sk2) sk3) ?16376) =>= join (complement sk1) ?16376 [16376] by Super 3 with 15813 at 1,3
% 67.53/17.21 Id : 195238, {_}: meet sk1 (join (complement sk1) ?179140) =<= meet (join (composition (converse sk2) sk3) ?179140) sk1 [179140] by Super 126052 with 15868 at 2,2
% 67.53/17.21 Id : 195296, {_}: meet ?179140 sk1 =<= meet (join (composition (converse sk2) sk3) ?179140) sk1 [179140] by Demod 195238 with 126052 at 2
% 67.53/17.21 Id : 195488, {_}: meet ?179296 sk1 =<= meet sk1 (join (composition (converse sk2) sk3) ?179296) [179296] by Demod 195296 with 70 at 3
% 67.53/17.21 Id : 195517, {_}: meet (composition ?179354 sk3) sk1 =<= meet sk1 (composition (join (converse sk2) ?179354) sk3) [179354] by Super 195488 with 8 at 2,3
% 67.53/17.21 Id : 196271, {_}: meet sk1 (composition ?179778 sk3) =<= meet sk1 (composition (join (converse sk2) ?179778) sk3) [179778] by Demod 195517 with 70 at 2
% 67.53/17.21 Id : 197482, {_}: meet sk1 (composition (converse ?180468) sk3) =<= meet sk1 (composition (converse (join sk2 ?180468)) sk3) [180468] by Super 196271 with 10 at 1,2,3
% 67.53/17.21 Id : 197490, {_}: meet sk1 (composition (converse (meet ?180482 sk2)) sk3) =>= meet sk1 (composition (converse sk2) sk3) [180482] by Super 197482 with 24818 at 1,1,2,3
% 67.53/17.21 Id : 197573, {_}: meet sk1 (composition (converse (meet ?180482 sk2)) sk3) =>= zero [180482] by Demod 197490 with 18 at 3
% 67.53/17.21 Id : 199675, {_}: join (meet (composition (meet ?181409 sk2) sk1) sk3) (meet (composition (meet ?181409 sk2) zero) sk3) =>= meet (composition (meet ?181409 sk2) (meet sk1 (composition (converse (meet ?181409 sk2)) sk3))) sk3 [181409] by Super 16 with 197573 at 2,1,2,2
% 67.53/17.21 Id : 199781, {_}: join (meet sk3 (composition (meet ?181409 sk2) sk1)) (meet (composition (meet ?181409 sk2) zero) sk3) =>= meet (composition (meet ?181409 sk2) (meet sk1 (composition (converse (meet ?181409 sk2)) sk3))) sk3 [181409] by Demod 199675 with 70 at 1,2
% 67.53/17.21 Id : 199782, {_}: join (meet sk3 (composition (meet ?181409 sk2) sk1)) (meet sk3 (composition (meet ?181409 sk2) zero)) =>= meet (composition (meet ?181409 sk2) (meet sk1 (composition (converse (meet ?181409 sk2)) sk3))) sk3 [181409] by Demod 199781 with 70 at 2,2
% 67.53/17.21 Id : 199783, {_}: join (meet sk3 (composition (meet ?181409 sk2) sk1)) (meet sk3 (composition (meet ?181409 sk2) zero)) =>= meet sk3 (composition (meet ?181409 sk2) (meet sk1 (composition (converse (meet ?181409 sk2)) sk3))) [181409] by Demod 199782 with 70 at 3
% 67.53/17.21 Id : 120, {_}: converse (join ?359 (converse ?360)) =>= join (converse ?359) ?360 [360, 359] by Super 119 with 9 at 2,3
% 67.53/17.21 Id : 6977, {_}: join top (join (complement ?10200) ?10201) =<= join (complement (meet zero ?10200)) ?10201 [10201, 10200] by Super 3 with 2598 at 1,3
% 67.53/17.21 Id : 1950, {_}: meet ?4286 ?4286 =>= ?4286 [4286] by Demod 1769 with 1949 at 3
% 67.53/17.21 Id : 6978, {_}: join top (join (complement zero) ?10203) =>= join (complement zero) ?10203 [10203] by Super 6977 with 1950 at 1,1,3
% 67.53/17.21 Id : 7067, {_}: join top (join top ?10203) =>= join (complement zero) ?10203 [10203] by Demod 6978 with 1964 at 1,2,2
% 67.53/17.21 Id : 7103, {_}: join top (join top ?10292) =>= join top ?10292 [10292] by Demod 7067 with 1964 at 1,3
% 67.53/17.21 Id : 849, {_}: converse (join (converse ?2069) ?2070) =>= join ?2069 (converse ?2070) [2070, 2069] by Super 119 with 9 at 1,3
% 67.53/17.21 Id : 857, {_}: converse top =<= join ?2096 (converse (complement (converse ?2096))) [2096] by Super 849 with 13 at 1,2
% 67.53/17.21 Id : 7113, {_}: join top (converse top) =<= join top (converse (complement (converse top))) [] by Super 7103 with 857 at 2,2
% 67.53/17.21 Id : 7167, {_}: join top (converse top) =>= converse top [] by Demod 7113 with 857 at 3
% 67.53/17.21 Id : 7188, {_}: converse (converse top) =<= join (converse top) top [] by Super 120 with 7167 at 1,2
% 67.53/17.21 Id : 7209, {_}: top =<= join (converse top) top [] by Demod 7188 with 9 at 2
% 67.53/17.21 Id : 7210, {_}: top =<= join top (converse top) [] by Demod 7209 with 2 at 3
% 67.53/17.21 Id : 7211, {_}: top =<= converse top [] by Demod 7210 with 7167 at 3
% 67.53/17.21 Id : 7252, {_}: converse (composition top ?10366) =<= composition (converse ?10366) top [10366] by Super 11 with 7211 at 2,3
% 67.53/17.21 Id : 7535, {_}: join (complement top) (composition (converse (converse ?10567)) (complement (converse (composition top ?10567)))) =>= complement top [10567] by Super 137 with 7252 at 1,2,2,2
% 67.53/17.21 Id : 7582, {_}: join zero (composition (converse (converse ?10567)) (complement (converse (composition top ?10567)))) =>= complement top [10567] by Demod 7535 with 344 at 1,2
% 67.53/17.21 Id : 7583, {_}: join zero (composition ?10567 (complement (converse (composition top ?10567)))) =>= complement top [10567] by Demod 7582 with 9 at 1,2,2
% 67.53/17.21 Id : 7584, {_}: join zero (composition ?10567 (complement (converse (composition top ?10567)))) =>= zero [10567] by Demod 7583 with 344 at 3
% 67.53/17.21 Id : 56775, {_}: composition ?47795 (complement (converse (composition top ?47795))) =>= zero [47795] by Demod 7584 with 1933 at 2
% 67.53/17.21 Id : 4579, {_}: ?171 =<= join (complement (join ?172 (complement ?171))) (meet ?171 ?172) [172, 171] by Demod 4578 with 2 at 3
% 67.53/17.21 Id : 17837, {_}: join ?18699 (complement ?18700) =<= complement (meet (complement ?18699) ?18700) [18700, 18699] by Super 17831 with 1949 at 1,2
% 67.53/17.21 Id : 18220, {_}: meet (complement ?19032) ?19033 =<= complement (join ?19032 (complement ?19033)) [19033, 19032] by Super 1949 with 17837 at 1,3
% 67.53/17.21 Id : 18402, {_}: ?171 =<= join (meet (complement ?172) ?171) (meet ?171 ?172) [172, 171] by Demod 4579 with 18220 at 1,3
% 67.53/17.21 Id : 329, {_}: join (complement ?909) (join ?909 ?910) =>= join top ?910 [910, 909] by Super 3 with 157 at 1,3
% 67.53/17.21 Id : 11777, {_}: complement (meet zero (complement ?13914)) =<= complement (meet zero (complement (meet zero ?13914))) [13914] by Super 11773 with 2598 at 2,1,3
% 67.53/17.21 Id : 2599, {_}: meet zero ?5956 =<= complement (join top (complement ?5956)) [5956] by Super 5 with 1964 at 1,1,3
% 67.53/17.21 Id : 2602, {_}: meet zero (complement ?5962) =>= complement (join top ?5962) [5962] by Super 2599 with 1949 at 2,1,3
% 67.53/17.21 Id : 11819, {_}: complement (complement (join top ?13914)) =<= complement (meet zero (complement (meet zero ?13914))) [13914] by Demod 11777 with 2602 at 1,2
% 67.53/17.21 Id : 11820, {_}: complement (complement (join top ?13914)) =<= complement (complement (join top (meet zero ?13914))) [13914] by Demod 11819 with 2602 at 1,3
% 67.53/17.21 Id : 11821, {_}: join top ?13914 =<= complement (complement (join top (meet zero ?13914))) [13914] by Demod 11820 with 1949 at 2
% 67.53/17.21 Id : 11822, {_}: join top ?13914 =<= join top (meet zero ?13914) [13914] by Demod 11821 with 1949 at 3
% 67.53/17.21 Id : 16308, {_}: join top ?13914 =?= join top zero [13914] by Demod 11822 with 16288 at 2,3
% 67.53/17.21 Id : 16315, {_}: join top ?13914 =>= join zero top [13914] by Demod 16308 with 2 at 3
% 67.53/17.21 Id : 16316, {_}: join top ?13914 =>= top [13914] by Demod 16315 with 1933 at 3
% 67.53/17.21 Id : 41029, {_}: join (complement ?35063) (join ?35063 ?35064) =>= top [35064, 35063] by Demod 329 with 16316 at 3
% 67.53/17.21 Id : 1971, {_}: converse (converse ?4455) =<= join (converse zero) ?4455 [4455] by Super 120 with 1933 at 1,2
% 67.53/17.21 Id : 1990, {_}: ?4455 =<= join (converse zero) ?4455 [4455] by Demod 1971 with 9 at 2
% 67.53/17.21 Id : 2151, {_}: zero =<= converse zero [] by Super 1961 with 1990 at 2
% 67.53/17.21 Id : 2398, {_}: converse (composition zero ?5760) =<= composition (converse ?5760) zero [5760] by Super 11 with 2151 at 2,3
% 67.53/17.21 Id : 7263, {_}: converse (composition zero top) =>= composition top zero [] by Super 2398 with 7211 at 1,3
% 67.53/17.21 Id : 9889, {_}: converse (join ?12168 (composition zero top)) =<= join (converse ?12168) (composition top zero) [12168] by Super 10 with 7263 at 2,3
% 67.53/17.21 Id : 7544, {_}: converse (composition top ?10591) =<= composition (converse ?10591) top [10591] by Super 11 with 7211 at 2,3
% 67.53/17.21 Id : 7563, {_}: converse (composition top top) =>= composition top top [] by Super 7544 with 7211 at 1,3
% 67.53/17.21 Id : 9911, {_}: converse (join (composition top top) (composition zero top)) =>= join (composition top top) (composition top zero) [] by Super 9889 with 7563 at 1,3
% 67.53/17.21 Id : 10007, {_}: converse (join (composition zero top) (composition top top)) =>= join (composition top top) (composition top zero) [] by Demod 9911 with 2 at 1,2
% 67.53/17.21 Id : 10008, {_}: converse (join (composition zero top) (composition top top)) =>= join (composition top zero) (composition top top) [] by Demod 10007 with 2 at 3
% 67.53/17.21 Id : 10009, {_}: converse (composition (join zero top) top) =<= join (composition top zero) (composition top top) [] by Demod 10008 with 8 at 1,2
% 67.53/17.21 Id : 10010, {_}: converse (composition top top) =<= join (composition top zero) (composition top top) [] by Demod 10009 with 1933 at 1,1,2
% 67.53/17.21 Id : 10011, {_}: composition top top =<= join (composition top zero) (composition top top) [] by Demod 10010 with 7563 at 2
% 67.53/17.21 Id : 41096, {_}: join (complement (composition top zero)) (composition top top) =>= top [] by Super 41029 with 10011 at 2,2
% 67.53/17.21 Id : 41389, {_}: meet (composition top zero) (complement (composition top top)) =>= complement top [] by Super 18137 with 41096 at 1,3
% 67.53/17.21 Id : 41392, {_}: meet (complement (composition top top)) (composition top zero) =>= complement top [] by Demod 41389 with 70 at 2
% 67.53/17.21 Id : 41393, {_}: meet (complement (composition top top)) (composition top zero) =>= zero [] by Demod 41392 with 344 at 3
% 67.53/17.21 Id : 41649, {_}: composition top zero =<= join zero (meet (composition top zero) (composition top top)) [] by Super 18402 with 41393 at 1,3
% 67.53/17.21 Id : 41670, {_}: composition top zero =<= meet (composition top zero) (composition top top) [] by Demod 41649 with 1933 at 3
% 67.53/17.21 Id : 41724, {_}: join (composition top zero) (composition (meet top (composition (composition top top) (converse zero))) (meet zero (composition (converse top) (composition top top)))) =>= composition (meet top (composition (composition top top) (converse zero))) (meet zero (composition (converse top) (composition top top))) [] by Super 15 with 41670 at 1,2
% 67.53/17.21 Id : 41757, {_}: join (composition top zero) (composition (composition (composition top top) (converse zero)) (meet zero (composition (converse top) (composition top top)))) =>= composition (meet top (composition (composition top top) (converse zero))) (meet zero (composition (converse top) (composition top top))) [] by Demod 41724 with 1951 at 1,2,2
% 67.53/17.21 Id : 41758, {_}: join (composition top zero) (composition (composition (composition top top) (converse zero)) zero) =<= composition (meet top (composition (composition top top) (converse zero))) (meet zero (composition (converse top) (composition top top))) [] by Demod 41757 with 16288 at 2,2,2
% 67.53/17.21 Id : 41759, {_}: join (composition top zero) (composition (composition (composition top top) (converse zero)) zero) =<= composition (composition (composition top top) (converse zero)) (meet zero (composition (converse top) (composition top top))) [] by Demod 41758 with 1951 at 1,3
% 67.53/17.21 Id : 41760, {_}: join (composition top zero) (composition (composition (composition top top) (converse zero)) zero) =>= composition (composition (composition top top) (converse zero)) zero [] by Demod 41759 with 16288 at 2,3
% 67.53/17.21 Id : 41761, {_}: composition (join top (composition (composition top top) (converse zero))) zero =>= composition (composition (composition top top) (converse zero)) zero [] by Demod 41760 with 8 at 2
% 67.53/17.21 Id : 41762, {_}: composition (join top (composition (composition top top) (converse zero))) zero =>= composition (composition top top) (composition (converse zero) zero) [] by Demod 41761 with 6 at 3
% 67.53/17.21 Id : 41763, {_}: composition top zero =<= composition (composition top top) (composition (converse zero) zero) [] by Demod 41762 with 16316 at 1,2
% 67.53/17.21 Id : 41764, {_}: composition top zero =<= composition top (composition top (composition (converse zero) zero)) [] by Demod 41763 with 6 at 3
% 67.53/17.21 Id : 41765, {_}: composition top zero =<= composition top (composition top (converse (composition zero zero))) [] by Demod 41764 with 2398 at 2,2,3
% 67.53/17.21 Id : 7253, {_}: converse (composition ?10368 top) =<= composition top (converse ?10368) [10368] by Super 11 with 7211 at 1,3
% 67.53/17.21 Id : 41766, {_}: composition top zero =<= composition top (converse (composition (composition zero zero) top)) [] by Demod 41765 with 7253 at 2,3
% 67.53/17.21 Id : 41767, {_}: composition top zero =<= converse (composition (composition (composition zero zero) top) top) [] by Demod 41766 with 7253 at 3
% 67.53/17.21 Id : 7636, {_}: converse (composition ?10658 (composition top top)) =<= composition (composition top top) (converse ?10658) [10658] by Super 11 with 7563 at 1,3
% 67.53/17.21 Id : 7664, {_}: converse (composition ?10658 (composition top top)) =<= composition top (composition top (converse ?10658)) [10658] by Demod 7636 with 6 at 3
% 67.53/17.21 Id : 11588, {_}: converse (composition ?10658 (composition top top)) =<= composition top (converse (composition ?10658 top)) [10658] by Demod 7664 with 7253 at 2,3
% 67.53/17.21 Id : 11589, {_}: converse (composition ?10658 (composition top top)) =?= converse (composition (composition ?10658 top) top) [10658] by Demod 11588 with 7253 at 3
% 67.53/17.21 Id : 41768, {_}: composition top zero =<= converse (composition (composition zero zero) (composition top top)) [] by Demod 41767 with 11589 at 3
% 67.53/17.21 Id : 41769, {_}: composition top zero =<= converse (composition zero (composition zero (composition top top))) [] by Demod 41768 with 6 at 1,3
% 67.53/17.21 Id : 133, {_}: converse (composition (converse ?389) ?390) =>= composition (converse ?390) ?389 [390, 389] by Super 132 with 9 at 2,3
% 67.53/17.21 Id : 2456, {_}: converse (composition zero ?5814) =<= composition (converse ?5814) zero [5814] by Super 11 with 2151 at 2,3
% 67.53/17.21 Id : 2467, {_}: converse (composition zero zero) =>= composition zero zero [] by Super 2456 with 2151 at 1,3
% 67.53/17.21 Id : 2506, {_}: converse (composition (composition zero zero) ?5868) =<= composition (converse ?5868) (composition zero zero) [5868] by Super 133 with 2467 at 1,1,2
% 67.53/17.21 Id : 2513, {_}: converse (composition zero (composition zero ?5868)) =<= composition (converse ?5868) (composition zero zero) [5868] by Demod 2506 with 6 at 1,2
% 67.53/17.21 Id : 7623, {_}: converse (composition zero (composition zero (composition top top))) =>= composition (composition top top) (composition zero zero) [] by Super 2513 with 7563 at 1,3
% 67.53/17.21 Id : 7677, {_}: converse (composition zero (composition zero (composition top top))) =>= composition top (composition top (composition zero zero)) [] by Demod 7623 with 6 at 3
% 67.53/17.21 Id : 41770, {_}: composition top zero =<= composition top (composition top (composition zero zero)) [] by Demod 41769 with 7677 at 3
% 67.53/17.21 Id : 3332, {_}: converse (join ?6740 (composition zero zero)) =<= join (converse ?6740) (composition zero zero) [6740] by Super 10 with 2467 at 2,3
% 67.53/17.21 Id : 2543, {_}: converse (composition ?5903 zero) =<= composition zero (converse ?5903) [5903] by Super 11 with 2151 at 1,3
% 67.53/17.21 Id : 1203, {_}: converse (join one ?3008) =<= join one (converse ?3008) [3008] by Super 10 with 939 at 1,3
% 67.53/17.21 Id : 1208, {_}: converse (join one one) =>= join one one [] by Super 1203 with 939 at 2,3
% 67.53/17.21 Id : 2549, {_}: converse (composition (join one one) zero) =>= composition zero (join one one) [] by Super 2543 with 1208 at 2,3
% 67.53/17.21 Id : 3345, {_}: converse (join (composition (join one one) zero) (composition zero zero)) =>= join (composition zero (join one one)) (composition zero zero) [] by Super 3332 with 2549 at 1,3
% 67.53/17.21 Id : 3403, {_}: converse (join (composition zero zero) (composition (join one one) zero)) =>= join (composition zero (join one one)) (composition zero zero) [] by Demod 3345 with 2 at 1,2
% 67.53/17.21 Id : 3404, {_}: converse (join (composition zero zero) (composition (join one one) zero)) =>= join (composition zero zero) (composition zero (join one one)) [] by Demod 3403 with 2 at 3
% 67.53/17.21 Id : 3405, {_}: converse (composition (join zero (join one one)) zero) =<= join (composition zero zero) (composition zero (join one one)) [] by Demod 3404 with 8 at 1,2
% 67.53/17.21 Id : 3406, {_}: converse (composition (join one one) zero) =<= join (composition zero zero) (composition zero (join one one)) [] by Demod 3405 with 1933 at 1,1,2
% 67.53/17.21 Id : 3407, {_}: composition zero (join one one) =<= join (composition zero zero) (composition zero (join one one)) [] by Demod 3406 with 2549 at 2
% 67.53/17.21 Id : 53188, {_}: composition zero one =<= join (composition zero zero) (composition zero (join one one)) [] by Demod 3407 with 4827 at 2,2
% 67.53/17.21 Id : 53189, {_}: composition zero one =<= join (composition zero zero) (composition zero one) [] by Demod 53188 with 4827 at 2,2,3
% 67.53/17.21 Id : 53190, {_}: zero =<= join (composition zero zero) (composition zero one) [] by Demod 53189 with 7 at 2
% 67.53/17.21 Id : 53191, {_}: zero =<= join (composition zero zero) zero [] by Demod 53190 with 7 at 2,3
% 67.53/17.21 Id : 53192, {_}: zero =<= join zero (composition zero zero) [] by Demod 53191 with 2 at 3
% 67.53/17.21 Id : 53193, {_}: zero =<= composition zero zero [] by Demod 53192 with 1933 at 3
% 67.53/17.21 Id : 53256, {_}: composition top zero =<= composition top (composition top zero) [] by Demod 41770 with 53193 at 2,2,3
% 67.53/17.21 Id : 56779, {_}: composition (composition top zero) (complement (converse (composition top zero))) =>= zero [] by Super 56775 with 53256 at 1,1,2,2
% 67.53/17.21 Id : 56874, {_}: composition top (composition zero (complement (converse (composition top zero)))) =>= zero [] by Demod 56779 with 6 at 2
% 67.53/17.21 Id : 7585, {_}: composition ?10567 (complement (converse (composition top ?10567))) =>= zero [10567] by Demod 7584 with 1933 at 2
% 67.53/17.21 Id : 56875, {_}: composition top zero =>= zero [] by Demod 56874 with 7585 at 2,2
% 67.53/17.21 Id : 57201, {_}: composition (join ?47853 top) zero =>= join (composition ?47853 zero) zero [47853] by Super 8 with 56875 at 2,3
% 67.53/17.21 Id : 57234, {_}: composition top zero =<= join (composition ?47853 zero) zero [47853] by Demod 57201 with 16174 at 1,2
% 67.53/17.21 Id : 57235, {_}: composition top zero =<= join zero (composition ?47853 zero) [47853] by Demod 57234 with 2 at 3
% 67.53/17.21 Id : 57236, {_}: zero =<= join zero (composition ?47853 zero) [47853] by Demod 57235 with 56875 at 2
% 67.53/17.21 Id : 57237, {_}: zero =<= composition ?47853 zero [47853] by Demod 57236 with 1933 at 3
% 67.53/17.21 Id : 199784, {_}: join (meet sk3 (composition (meet ?181409 sk2) sk1)) (meet sk3 zero) =<= meet sk3 (composition (meet ?181409 sk2) (meet sk1 (composition (converse (meet ?181409 sk2)) sk3))) [181409] by Demod 199783 with 57237 at 2,2,2
% 67.53/17.21 Id : 199785, {_}: join (meet sk3 (composition (meet ?181409 sk2) sk1)) (meet sk3 zero) =>= meet sk3 (composition (meet ?181409 sk2) zero) [181409] by Demod 199784 with 197573 at 2,2,3
% 67.53/17.21 Id : 199786, {_}: join (meet sk3 zero) (meet sk3 (composition (meet ?181409 sk2) sk1)) =>= meet sk3 (composition (meet ?181409 sk2) zero) [181409] by Demod 199785 with 2 at 2
% 67.53/17.22 Id : 199787, {_}: join (meet sk3 zero) (meet sk3 (composition (meet ?181409 sk2) sk1)) =>= meet sk3 zero [181409] by Demod 199786 with 57237 at 2,3
% 67.53/17.22 Id : 199788, {_}: join zero (meet sk3 (composition (meet ?181409 sk2) sk1)) =>= meet sk3 zero [181409] by Demod 199787 with 16300 at 1,2
% 67.53/17.22 Id : 199789, {_}: join zero (meet sk3 (composition (meet ?181409 sk2) sk1)) =>= zero [181409] by Demod 199788 with 16300 at 3
% 67.53/17.22 Id : 199915, {_}: meet sk3 (composition (meet ?181558 sk2) sk1) =>= zero [181558] by Demod 199789 with 1933 at 2
% 67.53/17.22 Id : 199918, {_}: meet sk3 (composition sk2 sk1) =>= zero [] by Super 199915 with 1950 at 1,2,2
% 67.53/17.22 Id : 200196, {_}: zero === zero [] by Demod 200195 with 199918 at 2
% 67.53/17.22 Id : 200195, {_}: meet sk3 (composition sk2 sk1) =>= zero [] by Demod 1 with 70 at 2
% 67.53/17.22 Id : 1, {_}: meet (composition sk2 sk1) sk3 =>= zero [] by goals_18
% 67.53/17.22 % SZS output end CNFRefutation for theBenchmark.p
% 67.53/17.22 29879: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 16.88547 using nrkbo
%------------------------------------------------------------------------------