TSTP Solution File: REL004-1 by Matita---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : REL004-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n027.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 19:41:49 EDT 2022
% Result : Unsatisfiable 3.79s 1.28s
% Output : CNFRefutation 3.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : REL004-1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.33 % Computer : n027.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 12:04:15 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 13302: Facts:
% 0.12/0.34 13302: Id : 2, {_}:
% 0.12/0.34 join ?2 ?3 =?= join ?3 ?2
% 0.12/0.34 [3, 2] by maddux1_join_commutativity_1 ?2 ?3
% 0.12/0.34 13302: Id : 3, {_}:
% 0.12/0.34 join ?5 (join ?6 ?7) =?= join (join ?5 ?6) ?7
% 0.12/0.34 [7, 6, 5] by maddux2_join_associativity_2 ?5 ?6 ?7
% 0.12/0.34 13302: Id : 4, {_}:
% 0.12/0.34 ?9
% 0.12/0.34 =<=
% 0.12/0.34 join (complement (join (complement ?9) (complement ?10)))
% 0.12/0.34 (complement (join (complement ?9) ?10))
% 0.12/0.34 [10, 9] by maddux3_a_kind_of_de_Morgan_3 ?9 ?10
% 0.12/0.34 13302: Id : 5, {_}:
% 0.12/0.34 meet ?12 ?13 =<= complement (join (complement ?12) (complement ?13))
% 0.12/0.34 [13, 12] by maddux4_definiton_of_meet_4 ?12 ?13
% 0.12/0.34 13302: Id : 6, {_}:
% 0.12/0.34 composition ?15 (composition ?16 ?17)
% 0.12/0.34 =?=
% 0.12/0.34 composition (composition ?15 ?16) ?17
% 0.12/0.34 [17, 16, 15] by composition_associativity_5 ?15 ?16 ?17
% 0.12/0.34 13302: Id : 7, {_}: composition ?19 one =>= ?19 [19] by composition_identity_6 ?19
% 0.12/0.34 13302: Id : 8, {_}:
% 0.12/0.34 composition (join ?21 ?22) ?23
% 0.12/0.34 =<=
% 0.12/0.34 join (composition ?21 ?23) (composition ?22 ?23)
% 0.12/0.34 [23, 22, 21] by composition_distributivity_7 ?21 ?22 ?23
% 0.12/0.34 13302: Id : 9, {_}:
% 0.12/0.34 converse (converse ?25) =>= ?25
% 0.12/0.34 [25] by converse_idempotence_8 ?25
% 0.12/0.34 13302: Id : 10, {_}:
% 0.12/0.34 converse (join ?27 ?28) =<= join (converse ?27) (converse ?28)
% 0.12/0.34 [28, 27] by converse_additivity_9 ?27 ?28
% 0.12/0.34 13302: Id : 11, {_}:
% 0.12/0.34 converse (composition ?30 ?31)
% 0.12/0.34 =<=
% 0.12/0.34 composition (converse ?31) (converse ?30)
% 0.12/0.34 [31, 30] by converse_multiplicativity_10 ?30 ?31
% 0.12/0.34 13302: Id : 12, {_}:
% 0.12/0.34 join (composition (converse ?33) (complement (composition ?33 ?34)))
% 0.12/0.34 (complement ?34)
% 0.12/0.34 =>=
% 0.12/0.34 complement ?34
% 0.12/0.34 [34, 33] by converse_cancellativity_11 ?33 ?34
% 0.12/0.34 13302: Id : 13, {_}: top =<= join ?36 (complement ?36) [36] by def_top_12 ?36
% 0.12/0.34 13302: Id : 14, {_}: zero =<= meet ?38 (complement ?38) [38] by def_zero_13 ?38
% 0.12/0.34 13302: Goal:
% 0.12/0.34 13302: Id : 1, {_}:
% 0.12/0.34 converse (complement sk1) =<= complement (converse sk1)
% 0.12/0.34 [] by goals_14
% 3.79/1.28 Statistics :
% 3.79/1.28 Max weight : 22
% 3.79/1.28 Found proof, 0.940716s
% 3.79/1.28 % SZS status Unsatisfiable for theBenchmark.p
% 3.79/1.28 % SZS output start CNFRefutation for theBenchmark.p
% 3.79/1.28 Id : 8, {_}: composition (join ?21 ?22) ?23 =<= join (composition ?21 ?23) (composition ?22 ?23) [23, 22, 21] by composition_distributivity_7 ?21 ?22 ?23
% 3.79/1.28 Id : 22, {_}: join ?63 (join ?64 ?65) =<= join (join ?63 ?64) ?65 [65, 64, 63] by maddux2_join_associativity_2 ?63 ?64 ?65
% 3.79/1.28 Id : 54, {_}: meet ?129 ?130 =<= complement (join (complement ?129) (complement ?130)) [130, 129] by maddux4_definiton_of_meet_4 ?129 ?130
% 3.79/1.28 Id : 10, {_}: converse (join ?27 ?28) =>= join (converse ?27) (converse ?28) [28, 27] by converse_additivity_9 ?27 ?28
% 3.79/1.28 Id : 13, {_}: top =<= join ?36 (complement ?36) [36] by def_top_12 ?36
% 3.79/1.28 Id : 3, {_}: join ?5 (join ?6 ?7) =<= join (join ?5 ?6) ?7 [7, 6, 5] by maddux2_join_associativity_2 ?5 ?6 ?7
% 3.79/1.28 Id : 14, {_}: zero =<= meet ?38 (complement ?38) [38] by def_zero_13 ?38
% 3.79/1.28 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
% 3.79/1.28 Id : 116, {_}: converse (composition ?255 ?256) =>= composition (converse ?256) (converse ?255) [256, 255] by converse_multiplicativity_10 ?255 ?256
% 3.79/1.28 Id : 7, {_}: composition ?19 one =>= ?19 [19] by composition_identity_6 ?19
% 3.79/1.28 Id : 2, {_}: join ?2 ?3 =?= join ?3 ?2 [3, 2] by maddux1_join_commutativity_1 ?2 ?3
% 3.79/1.28 Id : 12, {_}: join (composition (converse ?33) (complement (composition ?33 ?34))) (complement ?34) =>= complement ?34 [34, 33] by converse_cancellativity_11 ?33 ?34
% 3.79/1.28 Id : 5, {_}: meet ?12 ?13 =<= complement (join (complement ?12) (complement ?13)) [13, 12] by maddux4_definiton_of_meet_4 ?12 ?13
% 3.79/1.28 Id : 9, {_}: converse (converse ?25) =>= ?25 [25] by converse_idempotence_8 ?25
% 3.79/1.28 Id : 127, {_}: join (complement ?34) (composition (converse ?33) (complement (composition ?33 ?34))) =>= complement ?34 [33, 34] by Demod 12 with 2 at 2
% 3.79/1.28 Id : 173, {_}: converse ?350 =<= composition (converse one) (converse ?350) [350] by Super 116 with 7 at 1,2
% 3.79/1.28 Id : 174, {_}: converse (converse ?352) =>= composition (converse one) ?352 [352] by Super 173 with 9 at 2,3
% 3.79/1.28 Id : 184, {_}: ?352 =<= composition (converse one) ?352 [352] by Demod 174 with 9 at 2
% 3.79/1.28 Id : 191, {_}: one =<= converse one [] by Super 7 with 184 at 2
% 3.79/1.28 Id : 204, {_}: join (complement ?383) (composition one (complement (composition one ?383))) =>= complement ?383 [383] by Super 127 with 191 at 1,2,2
% 3.79/1.28 Id : 203, {_}: ?352 =<= composition one ?352 [352] by Demod 184 with 191 at 1,3
% 3.79/1.28 Id : 209, {_}: join (complement ?383) (complement (composition one ?383)) =>= complement ?383 [383] by Demod 204 with 203 at 2,2
% 3.79/1.28 Id : 210, {_}: join (complement ?383) (complement ?383) =>= complement ?383 [383] by Demod 209 with 203 at 1,2,2
% 3.79/1.28 Id : 301, {_}: meet ?588 ?588 =<= complement (complement ?588) [588] by Super 5 with 210 at 1,3
% 3.79/1.28 Id : 34, {_}: ?9 =<= join (complement (join (complement ?9) ?10)) (complement (join (complement ?9) (complement ?10))) [10, 9] by Demod 4 with 2 at 3
% 3.79/1.28 Id : 50, {_}: ?9 =<= join (complement (join (complement ?9) ?10)) (meet ?9 ?10) [10, 9] by Demod 34 with 5 at 2,3
% 3.79/1.28 Id : 51, {_}: ?9 =<= join (meet ?9 ?10) (complement (join (complement ?9) ?10)) [10, 9] by Demod 50 with 2 at 3
% 3.79/1.28 Id : 163, {_}: ?329 =<= join zero (complement (join (complement ?329) (complement ?329))) [329] by Super 51 with 14 at 1,3
% 3.79/1.28 Id : 167, {_}: ?329 =<= join zero (meet ?329 ?329) [329] by Demod 163 with 5 at 2,3
% 3.79/1.28 Id : 322, {_}: meet ?626 ?626 =<= complement (complement ?626) [626] by Super 5 with 210 at 1,3
% 3.79/1.28 Id : 344, {_}: meet (join (complement ?666) (complement ?667)) (join (complement ?666) (complement ?667)) =<= complement (meet ?666 ?667) [667, 666] by Super 322 with 5 at 1,3
% 3.79/1.28 Id : 345, {_}: meet (join (complement ?669) (complement (complement ?669))) (join (complement ?669) (complement (complement ?669))) =>= complement zero [669] by Super 344 with 14 at 1,3
% 3.79/1.28 Id : 358, {_}: meet top (join (complement ?669) (complement (complement ?669))) =>= complement zero [669] by Demod 345 with 13 at 1,2
% 3.79/1.28 Id : 359, {_}: meet top top =<= complement zero [] by Demod 358 with 13 at 2,2
% 3.79/1.28 Id : 360, {_}: meet zero zero =<= complement (meet top top) [] by Super 301 with 359 at 1,3
% 3.79/1.28 Id : 323, {_}: meet (join (complement ?628) (complement ?629)) (join (complement ?628) (complement ?629)) =<= complement (meet ?628 ?629) [629, 628] by Super 322 with 5 at 1,3
% 3.79/1.28 Id : 379, {_}: meet zero zero =<= meet (join (complement top) (complement top)) (join (complement top) (complement top)) [] by Demod 360 with 323 at 3
% 3.79/1.28 Id : 380, {_}: meet zero zero =<= meet (complement top) (join (complement top) (complement top)) [] by Demod 379 with 210 at 1,3
% 3.79/1.28 Id : 381, {_}: meet zero zero =<= meet (complement top) (complement top) [] by Demod 380 with 210 at 2,3
% 3.79/1.28 Id : 489, {_}: complement top =>= join zero (meet zero zero) [] by Super 167 with 381 at 2,3
% 3.79/1.28 Id : 494, {_}: complement top =>= zero [] by Demod 489 with 167 at 3
% 3.79/1.28 Id : 513, {_}: join (complement top) zero =>= complement top [] by Super 210 with 494 at 2,2
% 3.79/1.28 Id : 517, {_}: join zero (complement top) =>= complement top [] by Demod 513 with 2 at 2
% 3.79/1.28 Id : 518, {_}: join zero (complement top) =>= zero [] by Demod 517 with 494 at 3
% 3.79/1.28 Id : 519, {_}: join zero zero =>= zero [] by Demod 518 with 494 at 2,2
% 3.79/1.28 Id : 871, {_}: join zero (join zero ?1363) =>= join zero ?1363 [1363] by Super 3 with 519 at 1,3
% 3.79/1.28 Id : 882, {_}: join zero ?1387 =<= join zero (meet ?1387 ?1387) [1387] by Super 871 with 167 at 2,2
% 3.79/1.28 Id : 903, {_}: join zero ?1387 =>= ?1387 [1387] by Demod 882 with 167 at 3
% 3.79/1.28 Id : 1033, {_}: ?329 =<= meet ?329 ?329 [329] by Demod 167 with 903 at 3
% 3.79/1.28 Id : 1040, {_}: ?588 =<= complement (complement ?588) [588] by Demod 301 with 1033 at 2
% 3.79/1.28 Id : 1039, {_}: join (complement ?628) (complement ?629) =<= complement (meet ?628 ?629) [629, 628] by Demod 323 with 1033 at 2
% 3.79/1.28 Id : 37, {_}: ?99 =<= join (complement (join (complement ?99) ?100)) (complement (join (complement ?99) (complement ?100))) [100, 99] by Demod 4 with 2 at 3
% 3.79/1.28 Id : 38, {_}: ?102 =<= join (complement (join (complement ?102) ?103)) (complement (join (complement ?103) (complement ?102))) [103, 102] by Super 37 with 2 at 1,2,3
% 3.79/1.28 Id : 906, {_}: ?102 =<= join (complement (join (complement ?102) ?103)) (meet ?103 ?102) [103, 102] by Demod 38 with 5 at 2,3
% 3.79/1.28 Id : 907, {_}: ?102 =<= join (meet ?103 ?102) (complement (join (complement ?102) ?103)) [103, 102] by Demod 906 with 2 at 3
% 3.79/1.28 Id : 1533, {_}: converse top =<= join (converse ?2051) (converse (complement ?2051)) [2051] by Super 10 with 13 at 1,2
% 3.79/1.28 Id : 1539, {_}: converse top =<= join ?2063 (converse (complement (converse ?2063))) [2063] by Super 1533 with 9 at 1,3
% 3.79/1.28 Id : 367, {_}: join (complement zero) (meet top top) =>= complement zero [] by Super 210 with 359 at 2,2
% 3.79/1.28 Id : 371, {_}: join (meet top top) (complement zero) =>= complement zero [] by Demod 367 with 2 at 2
% 3.79/1.28 Id : 372, {_}: join (meet top top) (complement zero) =>= meet top top [] by Demod 371 with 359 at 3
% 3.79/1.28 Id : 373, {_}: join (meet top top) (meet top top) =>= meet top top [] by Demod 372 with 359 at 2,2
% 3.79/1.28 Id : 510, {_}: meet top ?964 =<= complement (join zero (complement ?964)) [964] by Super 5 with 494 at 1,1,3
% 3.79/1.28 Id : 1031, {_}: meet top ?964 =<= complement (complement ?964) [964] by Demod 510 with 903 at 1,3
% 3.79/1.28 Id : 1042, {_}: meet top ?964 =>= ?964 [964] by Demod 1031 with 1040 at 3
% 3.79/1.28 Id : 1237, {_}: join top (meet top top) =>= meet top top [] by Demod 373 with 1042 at 1,2
% 3.79/1.28 Id : 1238, {_}: join top top =>= meet top top [] by Demod 1237 with 1042 at 2,2
% 3.79/1.28 Id : 1239, {_}: join top top =>= top [] by Demod 1238 with 1042 at 3
% 3.79/1.28 Id : 1240, {_}: converse top =<= join (converse top) (converse top) [] by Super 10 with 1239 at 1,2
% 3.79/1.28 Id : 2194, {_}: join (converse top) (join (converse top) ?2598) =>= join (converse top) ?2598 [2598] by Super 3 with 1240 at 1,3
% 3.79/1.28 Id : 2202, {_}: join (converse top) top =<= join (converse top) (complement (converse top)) [] by Super 2194 with 13 at 2,2
% 3.79/1.28 Id : 2233, {_}: join top (converse top) =<= join (converse top) (complement (converse top)) [] by Demod 2202 with 2 at 2
% 3.79/1.28 Id : 2234, {_}: join top (converse top) =>= top [] by Demod 2233 with 13 at 3
% 3.79/1.28 Id : 2246, {_}: converse top =<= join (converse top) (converse (converse top)) [] by Super 10 with 2234 at 1,2
% 3.79/1.28 Id : 2259, {_}: converse top =<= join (converse top) top [] by Demod 2246 with 9 at 2,3
% 3.79/1.28 Id : 2260, {_}: converse top =<= join top (converse top) [] by Demod 2259 with 2 at 3
% 3.79/1.28 Id : 2261, {_}: converse top =>= top [] by Demod 2260 with 2234 at 3
% 3.79/1.28 Id : 2303, {_}: top =<= join ?2063 (converse (complement (converse ?2063))) [2063] by Demod 1539 with 2261 at 2
% 3.79/1.28 Id : 2317, {_}: ?2689 =<= join (meet (converse (complement (converse (complement ?2689)))) ?2689) (complement top) [2689] by Super 907 with 2303 at 1,2,3
% 3.79/1.28 Id : 2337, {_}: ?2689 =<= join (complement top) (meet (converse (complement (converse (complement ?2689)))) ?2689) [2689] by Demod 2317 with 2 at 3
% 3.79/1.28 Id : 2338, {_}: ?2689 =<= join zero (meet (converse (complement (converse (complement ?2689)))) ?2689) [2689] by Demod 2337 with 494 at 1,3
% 3.79/1.28 Id : 2339, {_}: ?2689 =<= meet (converse (complement (converse (complement ?2689)))) ?2689 [2689] by Demod 2338 with 903 at 3
% 3.79/1.28 Id : 57, {_}: meet ?140 ?141 =<= complement (join (complement ?141) (complement ?140)) [141, 140] by Super 54 with 2 at 1,3
% 3.79/1.28 Id : 61, {_}: meet ?140 ?141 =?= meet ?141 ?140 [141, 140] by Demod 57 with 5 at 3
% 3.79/1.28 Id : 12218, {_}: ?9982 =<= meet ?9982 (converse (complement (converse (complement ?9982)))) [9982] by Demod 2339 with 61 at 3
% 3.79/1.28 Id : 12222, {_}: complement ?9989 =<= meet (complement ?9989) (converse (complement (converse ?9989))) [9989] by Super 12218 with 1040 at 1,1,1,2,3
% 3.79/1.28 Id : 12801, {_}: join (complement (complement ?10706)) (complement (converse (complement (converse ?10706)))) =>= complement (complement ?10706) [10706] by Super 1039 with 12222 at 1,3
% 3.79/1.28 Id : 12829, {_}: join ?10706 (complement (converse (complement (converse ?10706)))) =>= complement (complement ?10706) [10706] by Demod 12801 with 1040 at 1,2
% 3.79/1.28 Id : 12830, {_}: join ?10706 (complement (converse (complement (converse ?10706)))) =>= ?10706 [10706] by Demod 12829 with 1040 at 3
% 3.79/1.28 Id : 13197, {_}: converse ?11041 =<= join (converse ?11041) (converse (complement (converse (complement (converse ?11041))))) [11041] by Super 10 with 12830 at 1,2
% 3.79/1.28 Id : 35, {_}: join (complement (join (complement ?92) ?93)) (join (complement (join (complement ?92) (complement ?93))) ?94) =>= join ?92 ?94 [94, 93, 92] by Super 3 with 34 at 1,3
% 3.79/1.28 Id : 577, {_}: join (complement (join (complement ?92) ?93)) (join (meet ?92 ?93) ?94) =>= join ?92 ?94 [94, 93, 92] by Demod 35 with 5 at 1,2,2
% 3.79/1.28 Id : 23, {_}: join ?67 (join ?68 ?69) =<= join (join ?68 ?67) ?69 [69, 68, 67] by Super 22 with 2 at 1,3
% 3.79/1.28 Id : 29, {_}: join ?67 (join ?68 ?69) =?= join ?68 (join ?67 ?69) [69, 68, 67] by Demod 23 with 3 at 3
% 3.79/1.28 Id : 578, {_}: join (meet ?92 ?93) (join (complement (join (complement ?92) ?93)) ?94) =>= join ?92 ?94 [94, 93, 92] by Demod 577 with 29 at 2
% 3.79/1.28 Id : 5936, {_}: meet ?5256 (join (complement ?5257) (complement ?5258)) =<= complement (join (complement ?5256) (meet ?5257 ?5258)) [5258, 5257, 5256] by Super 54 with 5 at 2,1,3
% 3.79/1.28 Id : 5937, {_}: meet ?5260 (join (complement top) (complement ?5261)) =<= complement (join (complement ?5260) ?5261) [5261, 5260] by Super 5936 with 1042 at 2,1,3
% 3.79/1.28 Id : 6007, {_}: meet ?5260 (join zero (complement ?5261)) =<= complement (join (complement ?5260) ?5261) [5261, 5260] by Demod 5937 with 494 at 1,2,2
% 3.79/1.28 Id : 6008, {_}: meet ?5260 (complement ?5261) =<= complement (join (complement ?5260) ?5261) [5261, 5260] by Demod 6007 with 903 at 2,2
% 3.79/1.28 Id : 6211, {_}: join (meet ?92 ?93) (join (meet ?92 (complement ?93)) ?94) =>= join ?92 ?94 [94, 93, 92] by Demod 578 with 6008 at 1,2,2
% 3.79/1.28 Id : 11084, {_}: join (composition ?8729 ?8730) (join (composition ?8731 ?8730) ?8732) =<= join (composition (join ?8729 ?8731) ?8730) ?8732 [8732, 8731, 8730, 8729] by Super 3 with 8 at 1,3
% 3.79/1.28 Id : 43, {_}: join (complement ?117) ?118 =<= join (complement ?117) (complement (join (complement (join (complement ?117) ?118)) (complement (complement (join (complement ?117) (complement ?118)))))) [118, 117] by Super 37 with 34 at 1,1,3
% 3.79/1.28 Id : 1834, {_}: join (complement ?117) ?118 =<= join (complement ?117) (meet (join (complement ?117) ?118) (complement (join (complement ?117) (complement ?118)))) [118, 117] by Demod 43 with 5 at 2,3
% 3.79/1.28 Id : 1835, {_}: join (complement ?117) ?118 =<= join (complement ?117) (meet (join (complement ?117) ?118) (meet ?117 ?118)) [118, 117] by Demod 1834 with 5 at 2,2,3
% 3.79/1.28 Id : 6246, {_}: meet ?5528 (complement ?5529) =<= complement (join (complement ?5528) ?5529) [5529, 5528] by Demod 6007 with 903 at 2,2
% 3.79/1.28 Id : 6405, {_}: meet (complement ?5693) (complement ?5694) =<= complement (join ?5693 ?5694) [5694, 5693] by Super 6246 with 1040 at 1,1,3
% 3.79/1.28 Id : 1542, {_}: converse top =<= join one (converse (complement one)) [] by Super 1533 with 191 at 1,3
% 3.79/1.28 Id : 2276, {_}: top =<= join one (converse (complement one)) [] by Demod 1542 with 2261 at 2
% 3.79/1.28 Id : 6438, {_}: meet (complement one) (complement (converse (complement one))) =>= complement top [] by Super 6405 with 2276 at 1,3
% 3.79/1.28 Id : 6604, {_}: meet (complement one) (complement (converse (complement one))) =>= zero [] by Demod 6438 with 494 at 3
% 3.79/1.28 Id : 7506, {_}: join (complement (complement one)) (complement (converse (complement one))) =<= join (complement (complement one)) (meet (join (complement (complement one)) (complement (converse (complement one)))) zero) [] by Super 1835 with 6604 at 2,2,3
% 3.79/1.28 Id : 7531, {_}: join one (complement (converse (complement one))) =<= join (complement (complement one)) (meet (join (complement (complement one)) (complement (converse (complement one)))) zero) [] by Demod 7506 with 1040 at 1,2
% 3.79/1.28 Id : 7532, {_}: join one (complement (converse (complement one))) =<= join one (meet (join (complement (complement one)) (complement (converse (complement one)))) zero) [] by Demod 7531 with 1040 at 1,3
% 3.79/1.28 Id : 363, {_}: meet ?678 zero =<= complement (join (complement ?678) (meet top top)) [678] by Super 5 with 359 at 2,1,3
% 3.79/1.28 Id : 377, {_}: meet ?678 zero =<= complement (join (meet top top) (complement ?678)) [678] by Demod 363 with 2 at 1,3
% 3.79/1.28 Id : 2013, {_}: meet ?678 zero =<= complement (join top (complement ?678)) [678] by Demod 377 with 1042 at 1,1,3
% 3.79/1.28 Id : 364, {_}: meet zero ?680 =<= complement (join (meet top top) (complement ?680)) [680] by Super 5 with 359 at 1,1,3
% 3.79/1.28 Id : 1600, {_}: meet zero ?2124 =<= complement (join top (complement ?2124)) [2124] by Demod 364 with 1042 at 1,1,3
% 3.79/1.28 Id : 1605, {_}: meet zero (complement ?2134) =<= complement (join top ?2134) [2134] by Super 1600 with 1040 at 2,1,3
% 3.79/1.28 Id : 2014, {_}: meet ?678 zero =<= meet zero (complement (complement ?678)) [678] by Demod 2013 with 1605 at 3
% 3.79/1.28 Id : 2015, {_}: meet ?678 zero =?= meet zero ?678 [678] by Demod 2014 with 1040 at 2,3
% 3.79/1.28 Id : 7533, {_}: join one (complement (converse (complement one))) =<= join one (meet zero (join (complement (complement one)) (complement (converse (complement one))))) [] by Demod 7532 with 2015 at 2,3
% 3.79/1.28 Id : 7534, {_}: join one (complement (converse (complement one))) =<= join one (meet zero (join one (complement (converse (complement one))))) [] by Demod 7533 with 1040 at 1,2,2,3
% 3.79/1.28 Id : 40, {_}: join (complement ?108) ?109 =<= join (complement (join (complement (join (complement ?108) ?109)) (join (complement ?108) (complement ?109)))) (complement ?108) [109, 108] by Super 37 with 34 at 1,2,3
% 3.79/1.28 Id : 47, {_}: join (complement ?108) ?109 =<= join (complement ?108) (complement (join (complement (join (complement ?108) ?109)) (join (complement ?108) (complement ?109)))) [109, 108] by Demod 40 with 2 at 3
% 3.79/1.28 Id : 48, {_}: join (complement ?108) ?109 =<= join (complement ?108) (complement (join (join (complement ?108) (complement ?109)) (complement (join (complement ?108) ?109)))) [109, 108] by Demod 47 with 2 at 1,2,3
% 3.79/1.28 Id : 2593, {_}: join (complement ?2909) ?2910 =<= join (complement ?2909) (complement (join (complement ?2909) (join (complement ?2910) (complement (join (complement ?2909) ?2910))))) [2910, 2909] by Demod 48 with 3 at 1,2,3
% 3.79/1.28 Id : 916, {_}: ?1425 =<= join (meet ?1426 ?1425) (complement (join (complement ?1425) ?1426)) [1426, 1425] by Demod 906 with 2 at 3
% 3.79/1.28 Id : 361, {_}: zero =<= meet zero (meet top top) [] by Super 14 with 359 at 2,3
% 3.79/1.28 Id : 937, {_}: meet top top =<= join zero (complement (join (complement (meet top top)) zero)) [] by Super 916 with 361 at 1,3
% 3.79/1.28 Id : 964, {_}: meet top top =<= join zero (complement (join zero (complement (meet top top)))) [] by Demod 937 with 2 at 1,2,3
% 3.79/1.28 Id : 965, {_}: meet top top =<= join zero (meet top (meet top top)) [] by Demod 964 with 510 at 2,3
% 3.79/1.28 Id : 683, {_}: meet top ?1220 =<= complement (join zero (complement ?1220)) [1220] by Super 5 with 494 at 1,1,3
% 3.79/1.28 Id : 686, {_}: meet top (complement ?1226) =<= complement (join zero (meet ?1226 ?1226)) [1226] by Super 683 with 301 at 2,1,3
% 3.79/1.28 Id : 718, {_}: meet top (complement ?1245) =>= complement ?1245 [1245] by Demod 686 with 167 at 1,3
% 3.79/1.28 Id : 723, {_}: meet top (meet top top) =<= complement zero [] by Super 718 with 359 at 2,2
% 3.79/1.28 Id : 744, {_}: meet top (meet top top) =>= meet top top [] by Demod 723 with 359 at 3
% 3.79/1.28 Id : 966, {_}: meet top top =<= join zero (meet top top) [] by Demod 965 with 744 at 2,3
% 3.79/1.28 Id : 967, {_}: meet top top =>= top [] by Demod 966 with 167 at 3
% 3.79/1.28 Id : 973, {_}: top =<= complement zero [] by Demod 359 with 967 at 2
% 3.79/1.28 Id : 2596, {_}: join (complement zero) ?2918 =<= join (complement zero) (complement (join (complement zero) (join (complement ?2918) (complement (join top ?2918))))) [2918] by Super 2593 with 973 at 1,1,2,2,1,2,3
% 3.79/1.28 Id : 2666, {_}: join top ?2918 =<= join (complement zero) (complement (join (complement zero) (join (complement ?2918) (complement (join top ?2918))))) [2918] by Demod 2596 with 973 at 1,2
% 3.79/1.28 Id : 2667, {_}: join top ?2918 =<= join top (complement (join (complement zero) (join (complement ?2918) (complement (join top ?2918))))) [2918] by Demod 2666 with 973 at 1,3
% 3.79/1.28 Id : 2668, {_}: join top ?2918 =<= join top (complement (join top (join (complement ?2918) (complement (join top ?2918))))) [2918] by Demod 2667 with 973 at 1,1,2,3
% 3.79/1.28 Id : 2669, {_}: join top ?2918 =<= join top (complement (join top (join (complement ?2918) (meet zero (complement ?2918))))) [2918] by Demod 2668 with 1605 at 2,2,1,2,3
% 3.79/1.28 Id : 2670, {_}: join top ?2918 =<= join top (meet zero (complement (join (complement ?2918) (meet zero (complement ?2918))))) [2918] by Demod 2669 with 1605 at 2,3
% 3.79/1.28 Id : 1055, {_}: join ?1536 zero =>= ?1536 [1536] by Super 2 with 903 at 3
% 3.79/1.28 Id : 1080, {_}: ?1564 =<= join (meet zero ?1564) (complement (complement ?1564)) [1564] by Super 907 with 1055 at 1,2,3
% 3.79/1.28 Id : 1114, {_}: ?1564 =<= join (meet zero ?1564) ?1564 [1564] by Demod 1080 with 1040 at 2,3
% 3.79/1.29 Id : 1115, {_}: ?1564 =<= join ?1564 (meet zero ?1564) [1564] by Demod 1114 with 2 at 3
% 3.79/1.29 Id : 2671, {_}: join top ?2918 =<= join top (meet zero (complement (complement ?2918))) [2918] by Demod 2670 with 1115 at 1,2,2,3
% 3.79/1.29 Id : 2672, {_}: join top ?2918 =<= join top (meet zero ?2918) [2918] by Demod 2671 with 1040 at 2,2,3
% 3.79/1.29 Id : 3108, {_}: meet zero (complement (meet zero ?3161)) =<= complement (join top ?3161) [3161] by Super 1605 with 2672 at 1,3
% 3.79/1.29 Id : 3121, {_}: meet zero (join (complement zero) (complement ?3161)) =<= complement (join top ?3161) [3161] by Demod 3108 with 1039 at 2,2
% 3.79/1.29 Id : 3122, {_}: meet zero (join (complement zero) (complement ?3161)) =>= meet zero (complement ?3161) [3161] by Demod 3121 with 1605 at 3
% 3.79/1.29 Id : 3601, {_}: meet zero (join top (complement ?3511)) =>= meet zero (complement ?3511) [3511] by Demod 3122 with 973 at 1,2,2
% 3.79/1.29 Id : 3606, {_}: meet zero (join top ?3521) =<= meet zero (complement (complement ?3521)) [3521] by Super 3601 with 1040 at 2,2,2
% 3.79/1.29 Id : 3694, {_}: meet zero (join top ?3553) =>= meet zero ?3553 [3553] by Demod 3606 with 1040 at 2,3
% 3.79/1.29 Id : 1570, {_}: join one (join (converse (complement one)) ?2082) =>= join (converse top) ?2082 [2082] by Super 3 with 1542 at 1,3
% 3.79/1.29 Id : 2441, {_}: join one (join (converse (complement one)) ?2786) =>= join top ?2786 [2786] by Demod 1570 with 2261 at 1,3
% 3.79/1.29 Id : 1086, {_}: ?1578 =<= join (meet ?1578 zero) (complement (complement ?1578)) [1578] by Super 51 with 1055 at 1,2,3
% 3.79/1.29 Id : 1108, {_}: ?1578 =<= join (meet ?1578 zero) ?1578 [1578] by Demod 1086 with 1040 at 2,3
% 3.79/1.29 Id : 1109, {_}: ?1578 =<= join ?1578 (meet ?1578 zero) [1578] by Demod 1108 with 2 at 3
% 3.79/1.29 Id : 2450, {_}: join one (converse (complement one)) =>= join top (meet (converse (complement one)) zero) [] by Super 2441 with 1109 at 2,2
% 3.79/1.29 Id : 2480, {_}: top =<= join top (meet (converse (complement one)) zero) [] by Demod 2450 with 2276 at 2
% 3.79/1.29 Id : 2481, {_}: top =<= join top (meet zero (converse (complement one))) [] by Demod 2480 with 2015 at 2,3
% 3.79/1.29 Id : 2447, {_}: join one top =<= join top (complement (converse (complement one))) [] by Super 2441 with 13 at 2,2
% 3.79/1.29 Id : 2479, {_}: join top one =<= join top (complement (converse (complement one))) [] by Demod 2447 with 2 at 2
% 3.79/1.29 Id : 2492, {_}: meet zero (complement (complement (converse (complement one)))) =>= complement (join top one) [] by Super 1605 with 2479 at 1,3
% 3.79/1.29 Id : 2518, {_}: meet zero (converse (complement one)) =<= complement (join top one) [] by Demod 2492 with 1040 at 2,2
% 3.79/1.29 Id : 2519, {_}: meet zero (converse (complement one)) =>= meet zero (complement one) [] by Demod 2518 with 1605 at 3
% 3.79/1.29 Id : 2555, {_}: top =<= join top (meet zero (complement one)) [] by Demod 2481 with 2519 at 2,3
% 3.79/1.29 Id : 2564, {_}: meet zero (complement (meet zero (complement one))) =>= complement top [] by Super 1605 with 2555 at 1,3
% 3.79/1.29 Id : 2567, {_}: meet zero (join (complement zero) (complement (complement one))) =>= complement top [] by Demod 2564 with 1039 at 2,2
% 3.79/1.29 Id : 2568, {_}: meet zero (join (complement zero) (complement (complement one))) =>= zero [] by Demod 2567 with 494 at 3
% 3.79/1.29 Id : 2569, {_}: meet zero (join top (complement (complement one))) =>= zero [] by Demod 2568 with 973 at 1,2,2
% 3.79/1.29 Id : 2570, {_}: meet zero (join top one) =>= zero [] by Demod 2569 with 1040 at 2,2,2
% 3.79/1.29 Id : 2866, {_}: join (complement zero) (join top one) =<= join (complement zero) (meet (join (complement zero) (join top one)) zero) [] by Super 1835 with 2570 at 2,2,3
% 3.79/1.29 Id : 2912, {_}: join (join top one) (complement zero) =<= join (complement zero) (meet (join (complement zero) (join top one)) zero) [] by Demod 2866 with 2 at 2
% 3.79/1.29 Id : 2913, {_}: join (join top one) (complement zero) =<= join top (meet (join (complement zero) (join top one)) zero) [] by Demod 2912 with 973 at 1,3
% 3.79/1.29 Id : 2914, {_}: join (join top one) (complement zero) =<= join top (meet zero (join (complement zero) (join top one))) [] by Demod 2913 with 2015 at 2,3
% 3.79/1.29 Id : 2915, {_}: join top (join one (complement zero)) =<= join top (meet zero (join (complement zero) (join top one))) [] by Demod 2914 with 3 at 2
% 3.79/1.29 Id : 2916, {_}: join top (join one (complement zero)) =<= join top (meet zero (join (join top one) (complement zero))) [] by Demod 2915 with 2 at 2,2,3
% 3.79/1.29 Id : 2917, {_}: join top (join one top) =<= join top (meet zero (join (join top one) (complement zero))) [] by Demod 2916 with 973 at 2,2,2
% 3.79/1.29 Id : 2918, {_}: join top (join one top) =<= join top (meet zero (join top (join one (complement zero)))) [] by Demod 2917 with 3 at 2,2,3
% 3.79/1.29 Id : 20, {_}: join ?55 (join ?56 ?57) =?= join ?56 (join ?57 ?55) [57, 56, 55] by Super 2 with 3 at 3
% 3.79/1.29 Id : 1242, {_}: join top (join ?1728 top) =>= join ?1728 top [1728] by Super 20 with 1239 at 2,3
% 3.79/1.29 Id : 2919, {_}: join one top =<= join top (meet zero (join top (join one (complement zero)))) [] by Demod 2918 with 1242 at 2
% 3.79/1.29 Id : 2920, {_}: join one top =<= join top (meet zero (join top (join one top))) [] by Demod 2919 with 973 at 2,2,2,2,3
% 3.79/1.29 Id : 2921, {_}: join top one =<= join top (meet zero (join top (join one top))) [] by Demod 2920 with 2 at 2
% 3.79/1.29 Id : 2922, {_}: join top one =<= join top (meet zero (join one top)) [] by Demod 2921 with 1242 at 2,2,3
% 3.79/1.29 Id : 2923, {_}: join top one =<= join top (meet zero (join top one)) [] by Demod 2922 with 2 at 2,2,3
% 3.79/1.29 Id : 2924, {_}: join top one =>= join top zero [] by Demod 2923 with 2570 at 2,3
% 3.79/1.29 Id : 2925, {_}: join top one =>= join zero top [] by Demod 2924 with 2 at 3
% 3.79/1.29 Id : 2926, {_}: join top one =>= top [] by Demod 2925 with 903 at 3
% 3.79/1.29 Id : 2934, {_}: join top (join one ?3073) =>= join top ?3073 [3073] by Super 3 with 2926 at 1,3
% 3.79/1.29 Id : 3704, {_}: meet zero (join top ?3572) =<= meet zero (join one ?3572) [3572] by Super 3694 with 2934 at 2,2
% 3.79/1.29 Id : 3667, {_}: meet zero (join top ?3521) =>= meet zero ?3521 [3521] by Demod 3606 with 1040 at 2,3
% 3.79/1.29 Id : 3767, {_}: meet zero ?3572 =<= meet zero (join one ?3572) [3572] by Demod 3704 with 3667 at 2
% 3.79/1.29 Id : 7535, {_}: join one (complement (converse (complement one))) =<= join one (meet zero (complement (converse (complement one)))) [] by Demod 7534 with 3767 at 2,3
% 3.79/1.29 Id : 41, {_}: ?111 =<= join (complement (join ?112 (complement ?111))) (complement (join (complement ?111) (complement ?112))) [112, 111] by Super 37 with 2 at 1,1,3
% 3.79/1.29 Id : 1251, {_}: ?111 =<= join (complement (join ?112 (complement ?111))) (meet ?111 ?112) [112, 111] by Demod 41 with 5 at 2,3
% 3.79/1.29 Id : 1252, {_}: ?111 =<= join (meet ?111 ?112) (complement (join ?112 (complement ?111))) [112, 111] by Demod 1251 with 2 at 3
% 3.79/1.29 Id : 2872, {_}: zero =<= join zero (complement (join (join top one) (complement zero))) [] by Super 1252 with 2570 at 1,3
% 3.79/1.29 Id : 2881, {_}: zero =<= complement (join (join top one) (complement zero)) [] by Demod 2872 with 903 at 3
% 3.79/1.29 Id : 2882, {_}: zero =<= complement (join top (join one (complement zero))) [] by Demod 2881 with 3 at 1,3
% 3.79/1.29 Id : 2883, {_}: zero =<= meet zero (complement (join one (complement zero))) [] by Demod 2882 with 1605 at 3
% 3.79/1.29 Id : 2884, {_}: zero =<= meet zero (complement (join one top)) [] by Demod 2883 with 973 at 2,1,2,3
% 3.79/1.29 Id : 1650, {_}: meet zero (complement ?2177) =<= complement (join top ?2177) [2177] by Super 1600 with 1040 at 2,1,3
% 3.79/1.29 Id : 1651, {_}: meet zero (complement ?2179) =<= complement (join ?2179 top) [2179] by Super 1650 with 2 at 1,3
% 3.79/1.29 Id : 2885, {_}: zero =<= meet zero (meet zero (complement one)) [] by Demod 2884 with 1651 at 2,3
% 3.79/1.29 Id : 1657, {_}: meet zero (complement (join ?2191 top)) =>= complement (join ?2191 top) [2191] by Super 1650 with 1242 at 1,3
% 3.79/1.29 Id : 1763, {_}: meet zero (meet zero (complement ?2191)) =<= complement (join ?2191 top) [2191] by Demod 1657 with 1651 at 2,2
% 3.79/1.29 Id : 1771, {_}: meet zero (meet zero (complement ?2275)) =>= meet zero (complement ?2275) [2275] by Demod 1763 with 1651 at 3
% 3.79/1.29 Id : 1776, {_}: meet zero (meet zero ?2285) =<= meet zero (complement (complement ?2285)) [2285] by Super 1771 with 1040 at 2,2,2
% 3.79/1.29 Id : 1820, {_}: meet zero (meet zero ?2285) =>= meet zero ?2285 [2285] by Demod 1776 with 1040 at 2,3
% 3.79/1.29 Id : 2886, {_}: zero =<= meet zero (complement one) [] by Demod 2885 with 1820 at 3
% 3.79/1.29 Id : 2962, {_}: zero =<= join zero (complement (join (complement one) (complement zero))) [] by Super 1252 with 2886 at 1,3
% 3.79/1.29 Id : 2971, {_}: zero =<= complement (join (complement one) (complement zero)) [] by Demod 2962 with 903 at 3
% 3.79/1.29 Id : 2972, {_}: zero =<= meet one zero [] by Demod 2971 with 5 at 3
% 3.79/1.29 Id : 2973, {_}: zero =<= meet zero one [] by Demod 2972 with 2015 at 3
% 3.79/1.29 Id : 2999, {_}: join (complement zero) (complement one) =>= complement zero [] by Super 1039 with 2973 at 1,3
% 3.79/1.29 Id : 3017, {_}: join top (complement one) =>= complement zero [] by Demod 2999 with 973 at 1,2
% 3.79/1.29 Id : 3018, {_}: join top (complement one) =>= top [] by Demod 3017 with 973 at 3
% 3.79/1.29 Id : 3052, {_}: converse top =<= join (converse top) (converse (complement one)) [] by Super 10 with 3018 at 1,2
% 3.79/1.29 Id : 3067, {_}: top =<= join (converse top) (converse (complement one)) [] by Demod 3052 with 2261 at 2
% 3.79/1.29 Id : 3068, {_}: top =<= join top (converse (complement one)) [] by Demod 3067 with 2261 at 1,3
% 3.79/1.29 Id : 3073, {_}: meet zero (complement (converse (complement one))) =>= complement top [] by Super 1605 with 3068 at 1,3
% 3.79/1.29 Id : 3098, {_}: meet zero (complement (converse (complement one))) =>= zero [] by Demod 3073 with 494 at 3
% 3.79/1.29 Id : 7536, {_}: join one (complement (converse (complement one))) =>= join one zero [] by Demod 7535 with 3098 at 2,3
% 3.79/1.29 Id : 7537, {_}: join one (complement (converse (complement one))) =>= join zero one [] by Demod 7536 with 2 at 3
% 3.79/1.29 Id : 7538, {_}: join one (complement (converse (complement one))) =>= one [] by Demod 7537 with 903 at 3
% 3.79/1.29 Id : 6214, {_}: ?102 =<= join (meet ?103 ?102) (meet ?102 (complement ?103)) [103, 102] by Demod 907 with 6008 at 2,3
% 3.79/1.29 Id : 7509, {_}: complement (converse (complement one)) =<= join zero (meet (complement (converse (complement one))) (complement (complement one))) [] by Super 6214 with 6604 at 1,3
% 3.79/1.29 Id : 7524, {_}: complement (converse (complement one)) =<= meet (complement (converse (complement one))) (complement (complement one)) [] by Demod 7509 with 903 at 3
% 3.79/1.29 Id : 6256, {_}: meet ?5560 (complement ?5561) =<= complement (join ?5561 (complement ?5560)) [5561, 5560] by Super 6246 with 2 at 1,3
% 3.79/1.29 Id : 6250, {_}: meet (complement ?5539) (complement ?5540) =<= complement (join ?5539 ?5540) [5540, 5539] by Super 6246 with 1040 at 1,1,3
% 3.79/1.29 Id : 6915, {_}: meet ?5560 (complement ?5561) =?= meet (complement ?5561) (complement (complement ?5560)) [5561, 5560] by Demod 6256 with 6250 at 3
% 3.79/1.29 Id : 6916, {_}: meet ?5560 (complement ?5561) =?= meet (complement ?5561) ?5560 [5561, 5560] by Demod 6915 with 1040 at 2,3
% 3.79/1.29 Id : 7525, {_}: complement (converse (complement one)) =<= meet (complement (complement one)) (complement (converse (complement one))) [] by Demod 7524 with 6916 at 3
% 3.79/1.29 Id : 7526, {_}: complement (converse (complement one)) =<= meet one (complement (converse (complement one))) [] by Demod 7525 with 1040 at 1,3
% 3.79/1.29 Id : 7597, {_}: join (complement one) (complement (complement (converse (complement one)))) =>= complement (complement (converse (complement one))) [] by Super 1039 with 7526 at 1,3
% 3.79/1.29 Id : 7611, {_}: join (complement one) (converse (complement one)) =<= complement (complement (converse (complement one))) [] by Demod 7597 with 1040 at 2,2
% 3.79/1.29 Id : 7612, {_}: join (complement one) (converse (complement one)) =>= converse (complement one) [] by Demod 7611 with 1040 at 3
% 3.79/1.29 Id : 7661, {_}: converse (converse (complement one)) =<= join (converse (complement one)) (converse (converse (complement one))) [] by Super 10 with 7612 at 1,2
% 3.79/1.29 Id : 7664, {_}: complement one =<= join (converse (complement one)) (converse (converse (complement one))) [] by Demod 7661 with 9 at 2
% 3.79/1.29 Id : 7665, {_}: complement one =<= join (converse (complement one)) (complement one) [] by Demod 7664 with 9 at 2,3
% 3.79/1.29 Id : 7666, {_}: complement one =<= join (complement one) (converse (complement one)) [] by Demod 7665 with 2 at 3
% 3.79/1.29 Id : 7667, {_}: complement one =<= converse (complement one) [] by Demod 7666 with 7612 at 3
% 3.79/1.29 Id : 7697, {_}: join one (complement (complement one)) =>= one [] by Demod 7538 with 7667 at 1,2,2
% 3.79/1.29 Id : 7698, {_}: join one one =>= one [] by Demod 7697 with 1040 at 2,2
% 3.79/1.29 Id : 11108, {_}: join (composition one ?8833) (join (composition one ?8833) ?8834) =>= join (composition one ?8833) ?8834 [8834, 8833] by Super 11084 with 7698 at 1,1,3
% 3.79/1.29 Id : 11252, {_}: join ?8833 (join (composition one ?8833) ?8834) =>= join (composition one ?8833) ?8834 [8834, 8833] by Demod 11108 with 203 at 1,2
% 3.79/1.29 Id : 11253, {_}: join ?8833 (join ?8833 ?8834) =<= join (composition one ?8833) ?8834 [8834, 8833] by Demod 11252 with 203 at 1,2,2
% 3.79/1.29 Id : 11521, {_}: join ?9180 (join ?9180 ?9181) =>= join ?9180 ?9181 [9181, 9180] by Demod 11253 with 203 at 1,3
% 3.79/1.29 Id : 11528, {_}: join ?9201 ?9201 =?= join ?9201 zero [9201] by Super 11521 with 1055 at 2,2
% 3.79/1.29 Id : 11588, {_}: join ?9201 ?9201 =>= ?9201 [9201] by Demod 11528 with 1055 at 3
% 3.79/1.29 Id : 11643, {_}: join ?9309 (join ?9310 ?9309) =>= join ?9310 ?9309 [9310, 9309] by Super 29 with 11588 at 2,3
% 3.79/1.29 Id : 11712, {_}: join (meet ?9395 (complement ?9396)) (meet ?9395 ?9396) =>= join ?9395 (meet ?9395 ?9396) [9396, 9395] by Super 6211 with 11643 at 2
% 3.79/1.29 Id : 11799, {_}: join (meet ?9395 ?9396) (meet ?9395 (complement ?9396)) =>= join ?9395 (meet ?9395 ?9396) [9396, 9395] by Demod 11712 with 2 at 2
% 3.79/1.29 Id : 6213, {_}: ?9 =<= join (meet ?9 ?10) (meet ?9 (complement ?10)) [10, 9] by Demod 51 with 6008 at 2,3
% 3.79/1.29 Id : 11906, {_}: ?9655 =<= join ?9655 (meet ?9655 ?9656) [9656, 9655] by Demod 11799 with 6213 at 2
% 3.79/1.29 Id : 11907, {_}: ?9658 =<= join ?9658 (meet ?9659 ?9658) [9659, 9658] by Super 11906 with 61 at 2,3
% 3.79/1.29 Id : 12203, {_}: ?2689 =<= meet ?2689 (converse (complement (converse (complement ?2689)))) [2689] by Demod 2339 with 61 at 3
% 3.79/1.29 Id : 12204, {_}: converse (complement (converse (complement ?9957))) =<= join (converse (complement (converse (complement ?9957)))) ?9957 [9957] by Super 11907 with 12203 at 2,3
% 3.79/1.29 Id : 12250, {_}: converse (complement (converse (complement ?9957))) =<= join ?9957 (converse (complement (converse (complement ?9957)))) [9957] by Demod 12204 with 2 at 3
% 3.79/1.29 Id : 13224, {_}: converse ?11041 =<= converse (complement (converse (complement (converse ?11041)))) [11041] by Demod 13197 with 12250 at 3
% 3.79/1.29 Id : 13276, {_}: converse (converse ?11108) =<= complement (converse (complement (converse ?11108))) [11108] by Super 9 with 13224 at 1,2
% 3.79/1.29 Id : 13317, {_}: ?11108 =<= complement (converse (complement (converse ?11108))) [11108] by Demod 13276 with 9 at 2
% 3.79/1.29 Id : 13380, {_}: converse (complement (converse ?11182)) =>= complement ?11182 [11182] by Super 1040 with 13317 at 1,3
% 3.79/1.29 Id : 13475, {_}: converse (complement ?11240) =<= complement (converse ?11240) [11240] by Super 9 with 13380 at 1,2
% 3.79/1.29 Id : 13567, {_}: converse (complement sk1) === converse (complement sk1) [] by Demod 1 with 13475 at 3
% 3.79/1.29 Id : 1, {_}: converse (complement sk1) =<= complement (converse sk1) [] by goals_14
% 3.79/1.29 % SZS output end CNFRefutation for theBenchmark.p
% 3.79/1.29 13304: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.950067 using lpo
%------------------------------------------------------------------------------