TSTP Solution File: REL005-3 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : REL005-3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n013.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 19:41:52 EDT 2022
% Result : Unsatisfiable 8.51s 2.43s
% Output : CNFRefutation 8.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : REL005-3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.12/0.33 % Computer : n013.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 07:01:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 3222: Facts:
% 0.12/0.33 3222: 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 3222: 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
% 0.12/0.34 3222: 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 3222: 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 3222: 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 3222: Id : 7, {_}: composition ?19 one =>= ?19 [19] by composition_identity_6 ?19
% 0.12/0.34 3222: 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 3222: Id : 9, {_}:
% 0.12/0.34 converse (converse ?25) =>= ?25
% 0.12/0.34 [25] by converse_idempotence_8 ?25
% 0.12/0.34 3222: 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 3222: 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 3222: 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 3222: Id : 13, {_}: top =<= join ?36 (complement ?36) [36] by def_top_12 ?36
% 0.12/0.34 3222: Id : 14, {_}: zero =<= meet ?38 (complement ?38) [38] by def_zero_13 ?38
% 0.12/0.34 3222: Id : 15, {_}:
% 0.12/0.34 join (meet (composition ?40 ?41) ?42)
% 0.12/0.34 (composition (meet ?40 (composition ?42 (converse ?41)))
% 0.12/0.34 (meet ?41 (composition (converse ?40) ?42)))
% 0.12/0.34 =>=
% 0.12/0.34 composition (meet ?40 (composition ?42 (converse ?41)))
% 0.12/0.34 (meet ?41 (composition (converse ?40) ?42))
% 0.12/0.34 [42, 41, 40] by dedekind_law_14 ?40 ?41 ?42
% 0.12/0.34 3222: Id : 16, {_}:
% 0.12/0.34 join (meet (composition ?44 ?45) ?46)
% 0.12/0.34 (meet (composition ?44 (meet ?45 (composition (converse ?44) ?46)))
% 0.12/0.34 ?46)
% 0.12/0.34 =>=
% 0.12/0.34 meet (composition ?44 (meet ?45 (composition (converse ?44) ?46)))
% 0.12/0.34 ?46
% 0.12/0.34 [46, 45, 44] by modular_law_1_15 ?44 ?45 ?46
% 0.12/0.34 3222: Id : 17, {_}:
% 0.12/0.34 join (meet (composition ?48 ?49) ?50)
% 0.12/0.34 (meet (composition (meet ?48 (composition ?50 (converse ?49))) ?49)
% 0.12/0.34 ?50)
% 0.12/0.34 =>=
% 0.12/0.34 meet (composition (meet ?48 (composition ?50 (converse ?49))) ?49)
% 0.12/0.34 ?50
% 0.12/0.34 [50, 49, 48] by modular_law_2_16 ?48 ?49 ?50
% 0.12/0.34 3222: Goal:
% 0.12/0.34 3222: Id : 1, {_}:
% 0.12/0.34 converse (meet sk1 sk2) =<= meet (converse sk1) (converse sk2)
% 0.12/0.34 [] by goals_17
% 8.51/2.43 Statistics :
% 8.51/2.43 Max weight : 16
% 8.51/2.43 Found proof, 2.098767s
% 8.51/2.43 % SZS status Unsatisfiable for theBenchmark.p
% 8.51/2.43 % SZS output start CNFRefutation for theBenchmark.p
% 8.51/2.43 Id : 47, {_}: ?167 =<= join (complement (join (complement ?167) (complement ?168))) (complement (join (complement ?167) ?168)) [168, 167] by maddux3_a_kind_of_de_Morgan_3 ?167 ?168
% 8.51/2.43 Id : 3, {_}: join ?5 (join ?6 ?7) =?= join (join ?5 ?6) ?7 [7, 6, 5] by maddux2_join_associativity_2 ?5 ?6 ?7
% 8.51/2.43 Id : 13, {_}: top =<= join ?36 (complement ?36) [36] by def_top_12 ?36
% 8.51/2.43 Id : 27, {_}: join ?83 (join ?84 ?85) =?= join (join ?83 ?84) ?85 [85, 84, 83] by maddux2_join_associativity_2 ?83 ?84 ?85
% 8.51/2.43 Id : 133, {_}: converse (composition ?385 ?386) =<= composition (converse ?386) (converse ?385) [386, 385] by converse_multiplicativity_10 ?385 ?386
% 8.51/2.43 Id : 7, {_}: composition ?19 one =>= ?19 [19] by composition_identity_6 ?19
% 8.51/2.43 Id : 12, {_}: join (composition (converse ?33) (complement (composition ?33 ?34))) (complement ?34) =>= complement ?34 [34, 33] by converse_cancellativity_11 ?33 ?34
% 8.51/2.43 Id : 14, {_}: zero =<= meet ?38 (complement ?38) [38] by def_zero_13 ?38
% 8.51/2.44 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
% 8.51/2.44 Id : 119, {_}: converse (join ?355 ?356) =<= join (converse ?355) (converse ?356) [356, 355] by converse_additivity_9 ?355 ?356
% 8.51/2.44 Id : 9, {_}: converse (converse ?25) =>= ?25 [25] by converse_idempotence_8 ?25
% 8.51/2.44 Id : 5, {_}: meet ?12 ?13 =<= complement (join (complement ?12) (complement ?13)) [13, 12] by maddux4_definiton_of_meet_4 ?12 ?13
% 8.51/2.44 Id : 2, {_}: join ?2 ?3 =?= join ?3 ?2 [3, 2] by maddux1_join_commutativity_1 ?2 ?3
% 8.51/2.44 Id : 62, {_}: meet ?203 ?204 =<= complement (join (complement ?203) (complement ?204)) [204, 203] by maddux4_definiton_of_meet_4 ?203 ?204
% 8.51/2.44 Id : 65, {_}: meet ?214 ?215 =<= complement (join (complement ?215) (complement ?214)) [215, 214] by Super 62 with 2 at 1,3
% 8.51/2.44 Id : 69, {_}: meet ?214 ?215 =?= meet ?215 ?214 [215, 214] by Demod 65 with 5 at 3
% 8.51/2.44 Id : 121, {_}: converse (join (converse ?361) ?362) =>= join ?361 (converse ?362) [362, 361] by Super 119 with 9 at 1,3
% 8.51/2.44 Id : 58, {_}: ?9 =<= join (meet ?9 ?10) (complement (join (complement ?9) ?10)) [10, 9] by Demod 4 with 5 at 1,3
% 8.51/2.44 Id : 59, {_}: ?9 =<= join (complement (join (complement ?9) ?10)) (meet ?9 ?10) [10, 9] by Demod 58 with 2 at 3
% 8.51/2.44 Id : 169, {_}: ?462 =<= join (complement (join (complement ?462) (complement ?462))) zero [462] by Super 59 with 14 at 2,3
% 8.51/2.44 Id : 173, {_}: ?462 =<= join zero (complement (join (complement ?462) (complement ?462))) [462] by Demod 169 with 2 at 3
% 8.51/2.44 Id : 174, {_}: ?462 =<= join zero (meet ?462 ?462) [462] by Demod 173 with 5 at 2,3
% 8.51/2.44 Id : 896, {_}: converse (composition (converse ?2170) ?2171) =>= composition (converse ?2171) ?2170 [2171, 2170] by Super 133 with 9 at 2,3
% 8.51/2.44 Id : 902, {_}: converse (converse ?2192) =<= composition (converse one) ?2192 [2192] by Super 896 with 7 at 1,2
% 8.51/2.44 Id : 920, {_}: ?2192 =<= composition (converse one) ?2192 [2192] by Demod 902 with 9 at 2
% 8.51/2.44 Id : 929, {_}: one =<= converse one [] by Super 7 with 920 at 2
% 8.51/2.44 Id : 983, {_}: join (composition one (complement (composition one ?2273))) (complement ?2273) =>= complement ?2273 [2273] by Super 12 with 929 at 1,1,2
% 8.51/2.44 Id : 974, {_}: ?2192 =<= composition one ?2192 [2192] by Demod 920 with 929 at 1,3
% 8.51/2.44 Id : 1008, {_}: join (complement (composition one ?2273)) (complement ?2273) =>= complement ?2273 [2273] by Demod 983 with 974 at 1,2
% 8.51/2.44 Id : 1009, {_}: join (complement ?2273) (complement ?2273) =>= complement ?2273 [2273] by Demod 1008 with 974 at 1,1,2
% 8.51/2.44 Id : 1442, {_}: meet ?3326 ?3326 =>= complement (complement ?3326) [3326] by Super 5 with 1009 at 1,3
% 8.51/2.44 Id : 1718, {_}: ?462 =<= join zero (complement (complement ?462)) [462] by Demod 174 with 1442 at 2,3
% 8.51/2.44 Id : 28, {_}: join ?87 (join ?88 ?89) =?= join (join ?88 ?87) ?89 [89, 88, 87] by Super 27 with 2 at 1,3
% 8.51/2.44 Id : 1446, {_}: join (complement ?3336) (complement ?3336) =>= complement ?3336 [3336] by Demod 1008 with 974 at 1,1,2
% 8.51/2.44 Id : 154, {_}: meet ?429 (complement ?429) =>= complement top [429] by Super 5 with 13 at 1,3
% 8.51/2.44 Id : 266, {_}: zero =<= complement top [] by Demod 154 with 14 at 2
% 8.51/2.44 Id : 1448, {_}: join (complement top) zero =>= complement top [] by Super 1446 with 266 at 2,2
% 8.51/2.44 Id : 1464, {_}: join zero (complement top) =>= complement top [] by Demod 1448 with 2 at 2
% 8.51/2.44 Id : 1465, {_}: join zero (complement top) =>= zero [] by Demod 1464 with 266 at 3
% 8.51/2.44 Id : 1466, {_}: join zero zero =>= zero [] by Demod 1465 with 266 at 2,2
% 8.51/2.44 Id : 1762, {_}: join zero (join zero ?4319) =>= join zero ?4319 [4319] by Super 28 with 1466 at 1,3
% 8.51/2.44 Id : 1773, {_}: join zero ?4340 =<= join zero (complement (complement ?4340)) [4340] by Super 1762 with 1718 at 2,2
% 8.51/2.44 Id : 1814, {_}: join zero ?4340 =>= ?4340 [4340] by Demod 1773 with 1718 at 3
% 8.51/2.44 Id : 1829, {_}: ?462 =<= complement (complement ?462) [462] by Demod 1718 with 1814 at 3
% 8.51/2.44 Id : 271, {_}: meet top ?683 =<= complement (join zero (complement ?683)) [683] by Super 5 with 266 at 1,1,3
% 8.51/2.44 Id : 383, {_}: meet ?959 (join zero (complement ?960)) =<= complement (join (complement ?959) (meet top ?960)) [960, 959] by Super 5 with 271 at 2,1,3
% 8.51/2.44 Id : 13541, {_}: meet ?959 (complement ?960) =<= complement (join (complement ?959) (meet top ?960)) [960, 959] by Demod 383 with 1814 at 2,2
% 8.51/2.44 Id : 1826, {_}: meet top ?683 =>= complement (complement ?683) [683] by Demod 271 with 1814 at 1,3
% 8.51/2.44 Id : 1831, {_}: meet top ?683 =>= ?683 [683] by Demod 1826 with 1829 at 3
% 8.51/2.44 Id : 13542, {_}: meet ?959 (complement ?960) =<= complement (join (complement ?959) ?960) [960, 959] by Demod 13541 with 1831 at 2,1,3
% 8.51/2.44 Id : 13895, {_}: join (complement ?17999) ?18000 =<= complement (meet ?17999 (complement ?18000)) [18000, 17999] by Super 1829 with 13542 at 1,3
% 8.51/2.44 Id : 14230, {_}: join (complement ?18435) (complement ?18436) =>= complement (meet ?18435 ?18436) [18436, 18435] by Super 13895 with 1829 at 2,1,3
% 8.51/2.44 Id : 14238, {_}: join ?18459 (complement ?18460) =<= complement (meet (complement ?18459) ?18460) [18460, 18459] by Super 14230 with 1829 at 1,2
% 8.51/2.44 Id : 854, {_}: converse (join (converse ?2072) ?2073) =>= join ?2072 (converse ?2073) [2073, 2072] by Super 119 with 9 at 1,3
% 8.51/2.44 Id : 864, {_}: converse top =<= join ?2107 (converse (complement (converse ?2107))) [2107] by Super 854 with 13 at 1,2
% 8.51/2.44 Id : 120, {_}: converse (join ?358 (converse ?359)) =>= join (converse ?358) ?359 [359, 358] by Super 119 with 9 at 2,3
% 8.51/2.44 Id : 24, {_}: join ?71 (join ?72 ?73) =?= join ?72 (join ?73 ?71) [73, 72, 71] by Super 2 with 3 at 3
% 8.51/2.44 Id : 1846, {_}: top =<= complement zero [] by Super 13 with 1814 at 3
% 8.51/2.44 Id : 1889, {_}: join (complement zero) top =>= complement zero [] by Super 1009 with 1846 at 2,2
% 8.51/2.44 Id : 1893, {_}: join top (complement zero) =>= complement zero [] by Demod 1889 with 2 at 2
% 8.51/2.44 Id : 1894, {_}: join top (complement zero) =>= top [] by Demod 1893 with 1846 at 3
% 8.51/2.44 Id : 1895, {_}: join top top =>= top [] by Demod 1894 with 1846 at 2,2
% 8.51/2.44 Id : 1909, {_}: join top (join ?4438 top) =>= join ?4438 top [4438] by Super 24 with 1895 at 2,3
% 8.51/2.44 Id : 821, {_}: converse (join ?1982 (converse ?1983)) =>= join (converse ?1982) ?1983 [1983, 1982] by Super 119 with 9 at 2,3
% 8.51/2.44 Id : 156, {_}: join (complement ?433) ?433 =>= top [433] by Super 2 with 13 at 3
% 8.51/2.44 Id : 826, {_}: converse top =<= join (converse (complement (converse ?1999))) ?1999 [1999] by Super 821 with 156 at 1,2
% 8.51/2.44 Id : 3510, {_}: join top (converse top) =<= join (converse (complement (converse top))) top [] by Super 1909 with 826 at 2,2
% 8.51/2.44 Id : 3576, {_}: join top (converse top) =<= join top (converse (complement (converse top))) [] by Demod 3510 with 2 at 3
% 8.51/2.44 Id : 3607, {_}: converse (join top (converse top)) =<= join (converse top) (complement (converse top)) [] by Super 120 with 3576 at 1,2
% 8.51/2.44 Id : 3615, {_}: join (converse top) top =<= join (converse top) (complement (converse top)) [] by Demod 3607 with 120 at 2
% 8.51/2.44 Id : 3616, {_}: join (converse top) top =<= join (complement (converse top)) (converse top) [] by Demod 3615 with 2 at 3
% 8.51/2.44 Id : 3617, {_}: join top (converse top) =<= join (complement (converse top)) (converse top) [] by Demod 3616 with 2 at 2
% 8.51/2.44 Id : 3618, {_}: join top (converse top) =>= top [] by Demod 3617 with 156 at 3
% 8.51/2.44 Id : 3649, {_}: converse top =<= join (converse top) top [] by Super 120 with 3618 at 1,2
% 8.51/2.44 Id : 3655, {_}: converse top =<= join top (converse top) [] by Demod 3649 with 2 at 3
% 8.51/2.44 Id : 3656, {_}: converse top =>= top [] by Demod 3655 with 3618 at 3
% 8.51/2.44 Id : 4172, {_}: top =<= join ?2107 (converse (complement (converse ?2107))) [2107] by Demod 864 with 3656 at 2
% 8.51/2.44 Id : 4192, {_}: ?7744 =<= join (complement top) (meet ?7744 (converse (complement (converse (complement ?7744))))) [7744] by Super 59 with 4172 at 1,1,3
% 8.51/2.44 Id : 4265, {_}: ?7744 =<= join zero (meet ?7744 (converse (complement (converse (complement ?7744))))) [7744] by Demod 4192 with 266 at 1,3
% 8.51/2.44 Id : 4266, {_}: ?7744 =<= meet ?7744 (converse (complement (converse (complement ?7744)))) [7744] by Demod 4265 with 1814 at 3
% 8.51/2.44 Id : 25951, {_}: join ?33409 (complement (converse (complement (converse (complement (complement ?33409)))))) =>= complement (complement ?33409) [33409] by Super 14238 with 4266 at 1,3
% 8.51/2.44 Id : 25975, {_}: join ?33409 (complement (converse (complement (converse ?33409)))) =>= complement (complement ?33409) [33409] by Demod 25951 with 1829 at 1,1,1,1,2,2
% 8.51/2.44 Id : 25976, {_}: join ?33409 (complement (converse (complement (converse ?33409)))) =>= ?33409 [33409] by Demod 25975 with 1829 at 3
% 8.51/2.44 Id : 50372, {_}: converse (converse ?51125) =<= join ?51125 (converse (complement (converse (complement (converse (converse ?51125)))))) [51125] by Super 121 with 25976 at 1,2
% 8.51/2.44 Id : 50550, {_}: ?51125 =<= join ?51125 (converse (complement (converse (complement (converse (converse ?51125)))))) [51125] by Demod 50372 with 9 at 2
% 8.51/2.44 Id : 50551, {_}: ?51125 =<= join ?51125 (converse (complement (converse (complement ?51125)))) [51125] by Demod 50550 with 9 at 1,1,1,1,2,3
% 8.51/2.44 Id : 48, {_}: ?170 =<= join (complement (join (complement ?170) (complement ?171))) (complement (join ?171 (complement ?170))) [171, 170] by Super 47 with 2 at 1,2,3
% 8.51/2.44 Id : 4616, {_}: ?170 =<= join (meet ?170 ?171) (complement (join ?171 (complement ?170))) [171, 170] by Demod 48 with 5 at 1,3
% 8.51/2.44 Id : 4631, {_}: ?8318 =<= join (complement (join ?8319 (complement ?8318))) (meet ?8318 ?8319) [8319, 8318] by Demod 4616 with 2 at 3
% 8.51/2.44 Id : 359, {_}: meet (complement ?938) ?938 =>= complement top [938] by Super 5 with 156 at 1,3
% 8.51/2.44 Id : 370, {_}: meet (complement ?938) ?938 =>= zero [938] by Demod 359 with 266 at 3
% 8.51/2.44 Id : 4632, {_}: complement ?8321 =<= join (complement (join ?8321 (complement (complement ?8321)))) zero [8321] by Super 4631 with 370 at 2,3
% 8.51/2.44 Id : 4679, {_}: complement ?8321 =<= join zero (complement (join ?8321 (complement (complement ?8321)))) [8321] by Demod 4632 with 2 at 3
% 8.51/2.44 Id : 4680, {_}: complement ?8321 =<= complement (join ?8321 (complement (complement ?8321))) [8321] by Demod 4679 with 1814 at 3
% 8.51/2.44 Id : 4681, {_}: complement ?8321 =<= complement (join ?8321 ?8321) [8321] by Demod 4680 with 1829 at 2,1,3
% 8.51/2.44 Id : 4751, {_}: join ?8445 ?8445 =>= complement (complement ?8445) [8445] by Super 1829 with 4681 at 1,3
% 8.51/2.44 Id : 4787, {_}: join ?8445 ?8445 =>= ?8445 [8445] by Demod 4751 with 1829 at 3
% 8.51/2.44 Id : 9451, {_}: join ?12770 (join ?12771 ?12770) =>= join ?12771 ?12770 [12771, 12770] by Super 24 with 4787 at 2,3
% 8.51/2.44 Id : 51, {_}: ?179 =<= join (complement (join (complement ?180) (complement ?179))) (complement (join (complement ?179) ?180)) [180, 179] by Super 47 with 2 at 1,1,3
% 8.51/2.44 Id : 6894, {_}: ?179 =<= join (meet ?180 ?179) (complement (join (complement ?179) ?180)) [180, 179] by Demod 51 with 5 at 1,3
% 8.51/2.44 Id : 6895, {_}: ?179 =<= join (complement (join (complement ?179) ?180)) (meet ?180 ?179) [180, 179] by Demod 6894 with 2 at 3
% 8.51/2.44 Id : 9498, {_}: join (meet ?12919 ?12920) ?12920 =<= join (complement (join (complement ?12920) ?12919)) (meet ?12919 ?12920) [12920, 12919] by Super 9451 with 6895 at 2,2
% 8.51/2.44 Id : 9622, {_}: join (meet ?12919 ?12920) ?12920 =>= ?12920 [12920, 12919] by Demod 9498 with 6895 at 3
% 8.51/2.44 Id : 25944, {_}: join ?33396 (converse (complement (converse (complement ?33396)))) =>= converse (complement (converse (complement ?33396))) [33396] by Super 9622 with 4266 at 1,2
% 8.51/2.44 Id : 50552, {_}: ?51125 =<= converse (complement (converse (complement ?51125))) [51125] by Demod 50551 with 25944 at 3
% 8.51/2.44 Id : 50852, {_}: converse ?51646 =<= complement (converse (complement ?51646)) [51646] by Super 9 with 50552 at 1,2
% 8.51/2.44 Id : 50861, {_}: converse (meet (complement ?51665) ?51666) =<= complement (converse (join ?51665 (complement ?51666))) [51666, 51665] by Super 50852 with 14238 at 1,1,3
% 8.51/2.44 Id : 50719, {_}: converse ?51447 =<= complement (converse (complement ?51447)) [51447] by Super 9 with 50552 at 1,2
% 8.51/2.44 Id : 50824, {_}: converse (complement ?51574) =>= complement (converse ?51574) [51574] by Super 1829 with 50719 at 1,3
% 8.51/2.44 Id : 51025, {_}: converse (join (complement (converse ?51758)) ?51759) =>= join (complement ?51758) (converse ?51759) [51759, 51758] by Super 121 with 50824 at 1,1,2
% 8.51/2.44 Id : 56066, {_}: converse (meet (complement (complement (converse ?58338))) ?58339) =>= complement (join (complement ?58338) (converse (complement ?58339))) [58339, 58338] by Super 50861 with 51025 at 1,3
% 8.51/2.44 Id : 56185, {_}: converse (meet (converse ?58338) ?58339) =<= complement (join (complement ?58338) (converse (complement ?58339))) [58339, 58338] by Demod 56066 with 1829 at 1,1,2
% 8.51/2.44 Id : 56186, {_}: converse (meet (converse ?58338) ?58339) =<= meet ?58338 (complement (converse (complement ?58339))) [58339, 58338] by Demod 56185 with 13542 at 3
% 8.51/2.44 Id : 56187, {_}: converse (meet (converse ?58338) ?58339) =<= meet ?58338 (complement (complement (converse ?58339))) [58339, 58338] by Demod 56186 with 50824 at 1,2,3
% 8.51/2.44 Id : 56540, {_}: converse (meet (converse ?58897) ?58898) =>= meet ?58897 (converse ?58898) [58898, 58897] by Demod 56187 with 1829 at 2,3
% 8.51/2.44 Id : 56541, {_}: converse (meet ?58900 ?58901) =<= meet (converse ?58900) (converse ?58901) [58901, 58900] by Super 56540 with 9 at 1,1,2
% 8.51/2.44 Id : 57285, {_}: converse (meet sk2 sk1) === converse (meet sk2 sk1) [] by Demod 57284 with 56541 at 3
% 8.51/2.44 Id : 57284, {_}: converse (meet sk2 sk1) =<= meet (converse sk2) (converse sk1) [] by Demod 57283 with 69 at 3
% 8.51/2.44 Id : 57283, {_}: converse (meet sk2 sk1) =<= meet (converse sk1) (converse sk2) [] by Demod 1 with 69 at 1,2
% 8.51/2.44 Id : 1, {_}: converse (meet sk1 sk2) =<= meet (converse sk1) (converse sk2) [] by goals_17
% 8.51/2.44 % SZS output end CNFRefutation for theBenchmark.p
% 8.51/2.44 3222: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 2.101823 using nrkbo
%------------------------------------------------------------------------------