TSTP Solution File: REL047-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : REL047-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n016.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 19:42:50 EDT 2022
% Result : Unsatisfiable 29.86s 7.82s
% Output : CNFRefutation 30.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : REL047-1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.11 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.32 % Computer : n016.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Fri Jul 8 09:08:08 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.12/0.33 639: Facts:
% 0.12/0.33 639: 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
% 0.12/0.33 639: 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
% 0.12/0.33 639: 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
% 0.12/0.33 639: 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
% 0.12/0.33 639: 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
% 0.12/0.33 639: Id : 7, {_}: composition ?19 one =>= ?19 [19] by composition_identity_6 ?19
% 0.12/0.33 639: 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
% 0.12/0.33 639: Id : 9, {_}:
% 0.12/0.33 converse (converse ?25) =>= ?25
% 0.12/0.33 [25] by converse_idempotence_8 ?25
% 0.12/0.33 639: 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
% 0.12/0.33 639: 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
% 0.12/0.33 639: 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
% 0.12/0.33 639: Id : 13, {_}: top =<= join ?36 (complement ?36) [36] by def_top_12 ?36
% 0.12/0.33 639: Id : 14, {_}: zero =<= meet ?38 (complement ?38) [38] by def_zero_13 ?38
% 0.12/0.33 639: Id : 15, {_}: join sk1 sk2 =>= sk2 [] by goals_14
% 0.12/0.33 639: Id : 16, {_}: join sk1 sk3 =>= sk3 [] by goals_15
% 0.12/0.33 639: Goal:
% 0.12/0.33 639: Id : 1, {_}: join sk1 (meet sk2 sk3) =>= meet sk2 sk3 [] by goals_16
% 29.86/7.82 Statistics :
% 29.86/7.82 Max weight : 22
% 29.86/7.82 Found proof, 7.496088s
% 29.86/7.82 % SZS status Unsatisfiable for theBenchmark.p
% 29.86/7.82 % SZS output start CNFRefutation for theBenchmark.p
% 29.86/7.82 Id : 26, {_}: join ?73 (join ?74 ?75) =?= join (join ?73 ?74) ?75 [75, 74, 73] by maddux2_join_associativity_2 ?73 ?74 ?75
% 29.86/7.82 Id : 15, {_}: join sk1 sk2 =>= sk2 [] by goals_14
% 29.86/7.82 Id : 118, {_}: converse (join ?345 ?346) =<= join (converse ?345) (converse ?346) [346, 345] by converse_additivity_9 ?345 ?346
% 29.86/7.82 Id : 61, {_}: meet ?193 ?194 =<= complement (join (complement ?193) (complement ?194)) [194, 193] by maddux4_definiton_of_meet_4 ?193 ?194
% 29.86/7.82 Id : 16, {_}: join sk1 sk3 =>= sk3 [] by goals_15
% 29.86/7.82 Id : 46, {_}: ?157 =<= join (complement (join (complement ?157) (complement ?158))) (complement (join (complement ?157) ?158)) [158, 157] by maddux3_a_kind_of_de_Morgan_3 ?157 ?158
% 29.86/7.82 Id : 13, {_}: top =<= join ?36 (complement ?36) [36] by def_top_12 ?36
% 29.86/7.82 Id : 3, {_}: join ?5 (join ?6 ?7) =?= join (join ?5 ?6) ?7 [7, 6, 5] by maddux2_join_associativity_2 ?5 ?6 ?7
% 29.86/7.82 Id : 9, {_}: converse (converse ?25) =>= ?25 [25] by converse_idempotence_8 ?25
% 29.86/7.82 Id : 131, {_}: converse (composition ?375 ?376) =<= composition (converse ?376) (converse ?375) [376, 375] by converse_multiplicativity_10 ?375 ?376
% 29.86/7.82 Id : 7, {_}: composition ?19 one =>= ?19 [19] by composition_identity_6 ?19
% 29.86/7.82 Id : 12, {_}: join (composition (converse ?33) (complement (composition ?33 ?34))) (complement ?34) =>= complement ?34 [34, 33] by converse_cancellativity_11 ?33 ?34
% 29.86/7.82 Id : 14, {_}: zero =<= meet ?38 (complement ?38) [38] by def_zero_13 ?38
% 29.86/7.82 Id : 2, {_}: join ?2 ?3 =?= join ?3 ?2 [3, 2] by maddux1_join_commutativity_1 ?2 ?3
% 29.86/7.82 Id : 5, {_}: meet ?12 ?13 =<= complement (join (complement ?12) (complement ?13)) [13, 12] by maddux4_definiton_of_meet_4 ?12 ?13
% 29.86/7.82 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
% 29.86/7.82 Id : 57, {_}: ?9 =<= join (meet ?9 ?10) (complement (join (complement ?9) ?10)) [10, 9] by Demod 4 with 5 at 1,3
% 29.86/7.82 Id : 58, {_}: ?9 =<= join (complement (join (complement ?9) ?10)) (meet ?9 ?10) [10, 9] by Demod 57 with 2 at 3
% 29.86/7.82 Id : 165, {_}: ?452 =<= join (complement (join (complement ?452) (complement ?452))) zero [452] by Super 58 with 14 at 2,3
% 29.86/7.82 Id : 169, {_}: ?452 =<= join zero (complement (join (complement ?452) (complement ?452))) [452] by Demod 165 with 2 at 3
% 29.86/7.82 Id : 170, {_}: ?452 =<= join zero (meet ?452 ?452) [452] by Demod 169 with 5 at 2,3
% 29.86/7.82 Id : 1179, {_}: converse (composition (converse ?2722) ?2723) =>= composition (converse ?2723) ?2722 [2723, 2722] by Super 131 with 9 at 2,3
% 29.86/7.82 Id : 1184, {_}: converse (converse ?2740) =<= composition (converse one) ?2740 [2740] by Super 1179 with 7 at 1,2
% 29.86/7.82 Id : 1199, {_}: ?2740 =<= composition (converse one) ?2740 [2740] by Demod 1184 with 9 at 2
% 29.86/7.82 Id : 1208, {_}: one =<= converse one [] by Super 7 with 1199 at 2
% 29.86/7.82 Id : 1228, {_}: join (composition one (complement (composition one ?2784))) (complement ?2784) =>= complement ?2784 [2784] by Super 12 with 1208 at 1,1,2
% 29.86/7.82 Id : 1224, {_}: ?2740 =<= composition one ?2740 [2740] by Demod 1199 with 1208 at 1,3
% 29.86/7.82 Id : 1245, {_}: join (complement (composition one ?2784)) (complement ?2784) =>= complement ?2784 [2784] by Demod 1228 with 1224 at 1,2
% 29.86/7.82 Id : 1246, {_}: join (complement ?2784) (complement ?2784) =>= complement ?2784 [2784] by Demod 1245 with 1224 at 1,1,2
% 29.86/7.82 Id : 2162, {_}: meet ?4291 ?4291 =>= complement (complement ?4291) [4291] by Super 5 with 1246 at 1,3
% 29.86/7.82 Id : 2242, {_}: ?452 =<= join zero (complement (complement ?452)) [452] by Demod 170 with 2162 at 2,3
% 29.86/7.82 Id : 2167, {_}: join (complement ?4303) (complement ?4303) =>= complement ?4303 [4303] by Demod 1245 with 1224 at 1,1,2
% 29.86/7.82 Id : 150, {_}: meet ?419 (complement ?419) =>= complement top [419] by Super 5 with 13 at 1,3
% 29.86/7.82 Id : 185, {_}: zero =<= complement top [] by Demod 150 with 14 at 2
% 29.86/7.82 Id : 2169, {_}: join (complement top) zero =>= complement top [] by Super 2167 with 185 at 2,2
% 29.86/7.82 Id : 2196, {_}: join zero (complement top) =>= complement top [] by Demod 2169 with 2 at 2
% 29.86/7.82 Id : 2197, {_}: join zero (complement top) =>= zero [] by Demod 2196 with 185 at 3
% 29.86/7.82 Id : 2198, {_}: join zero zero =>= zero [] by Demod 2197 with 185 at 2,2
% 29.86/7.82 Id : 2621, {_}: join zero (join zero ?5518) =>= join zero ?5518 [5518] by Super 3 with 2198 at 1,3
% 29.86/7.82 Id : 2632, {_}: join zero ?5539 =<= join zero (complement (complement ?5539)) [5539] by Super 2621 with 2242 at 2,2
% 29.86/7.82 Id : 2677, {_}: join zero ?5539 =>= ?5539 [5539] by Demod 2632 with 2242 at 3
% 29.86/7.82 Id : 2685, {_}: ?452 =<= complement (complement ?452) [452] by Demod 2242 with 2677 at 3
% 29.86/7.82 Id : 14103, {_}: join (complement ?14066) (complement ?14067) =<= join (complement (join (meet ?14066 ?14067) ?14068)) (meet (join (complement ?14066) (complement ?14067)) ?14068) [14068, 14067, 14066] by Super 58 with 5 at 1,1,1,3
% 29.86/7.82 Id : 14121, {_}: join (complement ?14130) (complement ?14131) =<= join (complement (join (meet ?14130 ?14131) (complement (join (complement ?14130) (complement ?14131))))) zero [14131, 14130] by Super 14103 with 14 at 2,3
% 29.86/7.82 Id : 14233, {_}: join (complement ?14130) (complement ?14131) =<= join zero (complement (join (meet ?14130 ?14131) (complement (join (complement ?14130) (complement ?14131))))) [14131, 14130] by Demod 14121 with 2 at 3
% 29.86/7.82 Id : 14234, {_}: join (complement ?14130) (complement ?14131) =<= complement (join (meet ?14130 ?14131) (complement (join (complement ?14130) (complement ?14131)))) [14131, 14130] by Demod 14233 with 2677 at 3
% 29.86/7.82 Id : 14235, {_}: join (complement ?14130) (complement ?14131) =<= complement (join (complement (join (complement ?14130) (complement ?14131))) (meet ?14130 ?14131)) [14131, 14130] by Demod 14234 with 2 at 1,3
% 29.86/7.82 Id : 14236, {_}: join (complement ?14130) (complement ?14131) =<= complement (join (meet ?14130 ?14131) (meet ?14130 ?14131)) [14131, 14130] by Demod 14235 with 5 at 1,1,3
% 29.86/7.82 Id : 47, {_}: ?160 =<= join (complement (join (complement ?160) (complement ?161))) (complement (join ?161 (complement ?160))) [161, 160] by Super 46 with 2 at 1,2,3
% 29.86/7.82 Id : 4059, {_}: ?160 =<= join (meet ?160 ?161) (complement (join ?161 (complement ?160))) [161, 160] by Demod 47 with 5 at 1,3
% 29.86/7.82 Id : 4074, {_}: ?6990 =<= join (complement (join ?6991 (complement ?6990))) (meet ?6990 ?6991) [6991, 6990] by Demod 4059 with 2 at 3
% 29.86/7.82 Id : 152, {_}: join (complement ?423) ?423 =>= top [423] by Super 2 with 13 at 3
% 29.86/7.82 Id : 280, {_}: meet (complement ?717) ?717 =>= complement top [717] by Super 5 with 152 at 1,3
% 29.86/7.82 Id : 287, {_}: meet (complement ?717) ?717 =>= zero [717] by Demod 280 with 185 at 3
% 29.86/7.82 Id : 4075, {_}: complement ?6993 =<= join (complement (join ?6993 (complement (complement ?6993)))) zero [6993] by Super 4074 with 287 at 2,3
% 29.86/7.82 Id : 4121, {_}: complement ?6993 =<= join zero (complement (join ?6993 (complement (complement ?6993)))) [6993] by Demod 4075 with 2 at 3
% 29.86/7.82 Id : 4122, {_}: complement ?6993 =<= complement (join ?6993 (complement (complement ?6993))) [6993] by Demod 4121 with 2677 at 3
% 29.86/7.82 Id : 4123, {_}: complement ?6993 =<= complement (join ?6993 ?6993) [6993] by Demod 4122 with 2685 at 2,1,3
% 29.86/7.82 Id : 4169, {_}: join ?7090 ?7090 =>= complement (complement ?7090) [7090] by Super 2685 with 4123 at 1,3
% 29.86/7.82 Id : 4227, {_}: join ?7090 ?7090 =>= ?7090 [7090] by Demod 4169 with 2685 at 3
% 29.86/7.82 Id : 14455, {_}: join (complement ?14353) (complement ?14354) =>= complement (meet ?14353 ?14354) [14354, 14353] by Demod 14236 with 4227 at 1,3
% 29.86/7.82 Id : 14457, {_}: join (complement ?14358) ?14359 =<= complement (meet ?14358 (complement ?14359)) [14359, 14358] by Super 14455 with 2685 at 2,2
% 29.86/7.82 Id : 14716, {_}: meet ?14570 (complement ?14571) =<= complement (join (complement ?14570) ?14571) [14571, 14570] by Super 2685 with 14457 at 1,3
% 29.86/7.82 Id : 45, {_}: join (complement (join (complement ?153) (complement ?154))) (join (complement (join (complement ?153) ?154)) ?155) =>= join ?153 ?155 [155, 154, 153] by Super 3 with 4 at 1,3
% 29.86/7.82 Id : 3192, {_}: join (meet ?153 ?154) (join (complement (join (complement ?153) ?154)) ?155) =>= join ?153 ?155 [155, 154, 153] by Demod 45 with 5 at 1,2
% 29.86/7.82 Id : 3193, {_}: join (join (complement (join (complement ?153) ?154)) ?155) (meet ?153 ?154) =>= join ?153 ?155 [155, 154, 153] by Demod 3192 with 2 at 2
% 29.86/7.82 Id : 3194, {_}: join (complement (join (complement ?153) ?154)) (join ?155 (meet ?153 ?154)) =>= join ?153 ?155 [155, 154, 153] by Demod 3193 with 3 at 2
% 29.86/7.82 Id : 4315, {_}: join (complement (join (complement ?7336) ?7337)) (meet ?7336 ?7337) =>= join ?7336 (meet ?7336 ?7337) [7337, 7336] by Super 3194 with 4227 at 2,2
% 29.86/7.83 Id : 4338, {_}: ?7336 =<= join ?7336 (meet ?7336 ?7337) [7337, 7336] by Demod 4315 with 58 at 2
% 29.86/7.83 Id : 22928, {_}: meet ?21194 (complement (meet (complement ?21194) ?21195)) =>= complement (complement ?21194) [21195, 21194] by Super 14716 with 4338 at 1,3
% 29.86/7.83 Id : 14461, {_}: join ?14369 (complement ?14370) =<= complement (meet (complement ?14369) ?14370) [14370, 14369] by Super 14455 with 2685 at 1,2
% 29.86/7.83 Id : 22975, {_}: meet ?21194 (join ?21194 (complement ?21195)) =>= complement (complement ?21194) [21195, 21194] by Demod 22928 with 14461 at 2,2
% 29.86/7.83 Id : 67994, {_}: meet ?53177 (join ?53177 (complement ?53178)) =>= ?53177 [53178, 53177] by Demod 22975 with 2685 at 3
% 29.86/7.83 Id : 68259, {_}: meet ?53436 (join ?53436 ?53437) =>= ?53436 [53437, 53436] by Super 67994 with 2685 at 2,2,2
% 29.86/7.83 Id : 69707, {_}: meet ?54771 (join ?54772 ?54771) =>= ?54771 [54772, 54771] by Super 68259 with 2 at 2,2
% 29.86/7.83 Id : 178, {_}: join sk3 sk1 =>= sk3 [] by Demod 16 with 2 at 2
% 29.86/7.83 Id : 332, {_}: join sk3 (join sk1 ?762) =>= join sk3 ?762 [762] by Super 3 with 178 at 1,3
% 29.86/7.83 Id : 333, {_}: join sk3 (join ?764 sk1) =>= join sk3 ?764 [764] by Super 332 with 2 at 2,2
% 29.86/7.83 Id : 152582, {_}: meet (join ?115649 sk1) (join sk3 ?115649) =>= join ?115649 sk1 [115649] by Super 69707 with 333 at 2,2
% 29.86/7.83 Id : 152621, {_}: meet (join (meet sk3 ?115733) sk1) sk3 =>= join (meet sk3 ?115733) sk1 [115733] by Super 152582 with 4338 at 2,2
% 29.86/7.83 Id : 64, {_}: meet ?204 ?205 =<= complement (join (complement ?205) (complement ?204)) [205, 204] by Super 61 with 2 at 1,3
% 29.86/7.83 Id : 68, {_}: meet ?204 ?205 =?= meet ?205 ?204 [205, 204] by Demod 64 with 5 at 3
% 29.86/7.83 Id : 152844, {_}: meet sk3 (join (meet sk3 ?115733) sk1) =>= join (meet sk3 ?115733) sk1 [115733] by Demod 152621 with 68 at 2
% 29.86/7.83 Id : 152845, {_}: meet sk3 (join (meet sk3 ?115733) sk1) =>= join sk1 (meet sk3 ?115733) [115733] by Demod 152844 with 2 at 3
% 29.86/7.83 Id : 153003, {_}: meet sk3 (join sk1 (meet sk3 ?115888)) =>= join sk1 (meet sk3 ?115888) [115888] by Demod 152845 with 2 at 2,2
% 29.86/7.83 Id : 153004, {_}: meet sk3 (join sk1 (meet ?115890 sk3)) =>= join sk1 (meet sk3 ?115890) [115890] by Super 153003 with 68 at 2,2,2
% 29.86/7.83 Id : 25230, {_}: ?22616 =<= join ?22616 (meet ?22617 ?22616) [22617, 22616] by Super 4338 with 68 at 2,3
% 29.86/7.83 Id : 152626, {_}: meet (join (meet ?115742 sk3) sk1) sk3 =>= join (meet ?115742 sk3) sk1 [115742] by Super 152582 with 25230 at 2,2
% 29.86/7.83 Id : 152865, {_}: meet sk3 (join (meet ?115742 sk3) sk1) =>= join (meet ?115742 sk3) sk1 [115742] by Demod 152626 with 68 at 2
% 29.86/7.83 Id : 152866, {_}: meet sk3 (join (meet ?115742 sk3) sk1) =>= join sk1 (meet ?115742 sk3) [115742] by Demod 152865 with 2 at 3
% 29.86/7.83 Id : 152867, {_}: meet sk3 (join sk1 (meet ?115742 sk3)) =>= join sk1 (meet ?115742 sk3) [115742] by Demod 152866 with 2 at 2,2
% 29.86/7.83 Id : 153388, {_}: join sk1 (meet ?115890 sk3) =?= join sk1 (meet sk3 ?115890) [115890] by Demod 153004 with 152867 at 2
% 29.86/7.83 Id : 23, {_}: join ?61 (join ?62 ?63) =?= join ?62 (join ?63 ?61) [63, 62, 61] by Super 2 with 3 at 3
% 29.86/7.83 Id : 22516, {_}: join ?20736 (join ?20737 ?20736) =>= join ?20737 ?20736 [20737, 20736] by Super 23 with 4227 at 2,3
% 29.86/7.83 Id : 50, {_}: ?169 =<= join (complement (join (complement ?170) (complement ?169))) (complement (join (complement ?169) ?170)) [170, 169] by Super 46 with 2 at 1,1,3
% 29.86/7.83 Id : 5390, {_}: ?169 =<= join (meet ?170 ?169) (complement (join (complement ?169) ?170)) [170, 169] by Demod 50 with 5 at 1,3
% 29.86/7.83 Id : 5391, {_}: ?169 =<= join (complement (join (complement ?169) ?170)) (meet ?170 ?169) [170, 169] by Demod 5390 with 2 at 3
% 29.86/7.83 Id : 15491, {_}: ?169 =<= join (meet ?169 (complement ?170)) (meet ?170 ?169) [170, 169] by Demod 5391 with 14716 at 1,3
% 29.86/7.83 Id : 22585, {_}: join (meet ?20920 ?20921) ?20921 =<= join (meet ?20921 (complement ?20920)) (meet ?20920 ?20921) [20921, 20920] by Super 22516 with 15491 at 2,2
% 29.86/7.83 Id : 22834, {_}: join (meet ?20920 ?20921) ?20921 =>= ?20921 [20921, 20920] by Demod 22585 with 15491 at 3
% 29.86/7.83 Id : 15493, {_}: join (meet ?153 (complement ?154)) (join ?155 (meet ?153 ?154)) =>= join ?153 ?155 [155, 154, 153] by Demod 3194 with 14716 at 1,2
% 29.86/7.83 Id : 15495, {_}: join (join ?155 (meet ?153 ?154)) (meet ?153 (complement ?154)) =>= join ?153 ?155 [154, 153, 155] by Demod 15493 with 2 at 2
% 29.86/7.83 Id : 1140, {_}: converse (join (converse ?2652) ?2653) =>= join ?2652 (converse ?2653) [2653, 2652] by Super 118 with 9 at 1,3
% 29.86/7.83 Id : 1148, {_}: converse top =<= join ?2679 (converse (complement (converse ?2679))) [2679] by Super 1140 with 13 at 1,2
% 29.86/7.83 Id : 119, {_}: converse (join ?348 (converse ?349)) =>= join (converse ?348) ?349 [349, 348] by Super 118 with 9 at 2,3
% 29.86/7.83 Id : 2707, {_}: top =<= complement zero [] by Super 13 with 2677 at 3
% 29.86/7.83 Id : 2762, {_}: join (complement zero) top =>= complement zero [] by Super 1246 with 2707 at 2,2
% 29.86/7.83 Id : 2782, {_}: join top (complement zero) =>= complement zero [] by Demod 2762 with 2 at 2
% 29.86/7.83 Id : 2783, {_}: join top (complement zero) =>= top [] by Demod 2782 with 2707 at 3
% 29.86/7.83 Id : 2784, {_}: join top top =>= top [] by Demod 2783 with 2707 at 2,2
% 29.86/7.83 Id : 2793, {_}: join top (join ?5650 top) =>= join ?5650 top [5650] by Super 23 with 2784 at 2,3
% 29.86/7.83 Id : 910, {_}: converse (join ?1851 (converse ?1852)) =>= join (converse ?1851) ?1852 [1852, 1851] by Super 118 with 9 at 2,3
% 29.86/7.83 Id : 915, {_}: converse top =<= join (converse (complement (converse ?1868))) ?1868 [1868] by Super 910 with 152 at 1,2
% 29.86/7.83 Id : 4946, {_}: join top (converse top) =<= join (converse (complement (converse top))) top [] by Super 2793 with 915 at 2,2
% 29.86/7.83 Id : 4974, {_}: join top (converse top) =<= join top (converse (complement (converse top))) [] by Demod 4946 with 2 at 3
% 29.86/7.83 Id : 5086, {_}: converse (join top (converse top)) =<= join (converse top) (complement (converse top)) [] by Super 119 with 4974 at 1,2
% 29.86/7.83 Id : 5115, {_}: join (converse top) top =<= join (converse top) (complement (converse top)) [] by Demod 5086 with 119 at 2
% 29.86/7.83 Id : 5116, {_}: join (converse top) top =>= top [] by Demod 5115 with 13 at 3
% 29.86/7.83 Id : 5117, {_}: join top (converse top) =>= top [] by Demod 5116 with 2 at 2
% 29.86/7.83 Id : 5122, {_}: converse top =<= join (converse top) top [] by Super 119 with 5117 at 1,2
% 29.86/7.83 Id : 5146, {_}: converse top =<= join top (converse top) [] by Demod 5122 with 2 at 3
% 29.86/7.83 Id : 5147, {_}: converse top =>= top [] by Demod 5146 with 5117 at 3
% 29.86/7.83 Id : 9892, {_}: top =<= join ?2679 (converse (complement (converse ?2679))) [2679] by Demod 1148 with 5147 at 2
% 30.15/7.83 Id : 9911, {_}: ?11668 =<= join (complement top) (meet ?11668 (converse (complement (converse (complement ?11668))))) [11668] by Super 58 with 9892 at 1,1,3
% 30.15/7.83 Id : 10053, {_}: ?11668 =<= join zero (meet ?11668 (converse (complement (converse (complement ?11668))))) [11668] by Demod 9911 with 185 at 1,3
% 30.15/7.83 Id : 10054, {_}: ?11668 =<= meet ?11668 (converse (complement (converse (complement ?11668)))) [11668] by Demod 10053 with 2677 at 3
% 30.15/7.83 Id : 14788, {_}: meet (complement ?14670) ?14671 =<= complement (join ?14670 (complement ?14671)) [14671, 14670] by Super 2685 with 14461 at 1,3
% 30.15/7.83 Id : 171, {_}: join sk2 sk1 =>= sk2 [] by Demod 15 with 2 at 2
% 30.15/7.83 Id : 172, {_}: join sk2 (join sk1 ?460) =>= join sk2 ?460 [460] by Super 3 with 171 at 1,3
% 30.15/7.83 Id : 22900, {_}: join sk2 sk1 =<= join sk2 (meet sk1 ?21086) [21086] by Super 172 with 4338 at 2,2
% 30.15/7.83 Id : 22991, {_}: sk2 =<= join sk2 (meet sk1 ?21086) [21086] by Demod 22900 with 171 at 2
% 30.15/7.83 Id : 25160, {_}: sk2 =<= join sk2 (meet ?22426 sk1) [22426] by Super 22991 with 68 at 2,3
% 30.15/7.83 Id : 25474, {_}: join sk2 (meet ?22828 (complement sk1)) =>= join ?22828 sk2 [22828] by Super 15495 with 25160 at 1,2
% 30.15/7.83 Id : 25639, {_}: join sk2 (meet (complement sk1) ?22941) =>= join ?22941 sk2 [22941] by Super 25474 with 68 at 2,2
% 30.15/7.83 Id : 15516, {_}: meet ?15302 (complement ?15303) =<= complement (join (complement ?15302) ?15303) [15303, 15302] by Super 2685 with 14457 at 1,3
% 30.15/7.83 Id : 15518, {_}: meet (complement ?15307) (complement ?15308) =>= complement (join ?15307 ?15308) [15308, 15307] by Super 15516 with 2685 at 1,1,3
% 30.15/7.83 Id : 25644, {_}: join sk2 (complement (join sk1 ?22948)) =>= join (complement ?22948) sk2 [22948] by Super 25639 with 15518 at 2,2
% 30.15/7.83 Id : 25700, {_}: join sk2 (complement (join sk1 ?22948)) =>= join sk2 (complement ?22948) [22948] by Demod 25644 with 2 at 3
% 30.15/7.83 Id : 25979, {_}: meet (complement sk2) (join sk1 ?23210) =>= complement (join sk2 (complement ?23210)) [23210] by Super 14788 with 25700 at 1,3
% 30.15/7.83 Id : 26004, {_}: meet (complement sk2) (join sk1 ?23210) =>= meet (complement sk2) ?23210 [23210] by Demod 25979 with 14788 at 3
% 30.15/7.83 Id : 154, {_}: join ?427 (join (complement ?427) ?428) =>= join top ?428 [428, 427] by Super 3 with 13 at 1,3
% 30.15/7.83 Id : 52, {_}: join (complement ?175) (complement ?176) =<= join (complement ?175) (complement (join (complement (join (complement ?175) (complement ?176))) (join (complement ?175) ?176))) [176, 175] by Super 46 with 4 at 1,1,3
% 30.15/7.83 Id : 6722, {_}: join (complement ?175) (complement ?176) =<= join (complement ?175) (complement (join (meet ?175 ?176) (join (complement ?175) ?176))) [176, 175] by Demod 52 with 5 at 1,1,2,3
% 30.15/7.83 Id : 6723, {_}: join (complement ?175) (complement ?176) =<= join (complement ?175) (complement (join (join (complement ?175) ?176) (meet ?175 ?176))) [176, 175] by Demod 6722 with 2 at 1,2,3
% 30.15/7.83 Id : 6743, {_}: join (complement ?9424) (complement ?9425) =<= join (complement ?9424) (complement (join (complement ?9424) (join ?9425 (meet ?9424 ?9425)))) [9425, 9424] by Demod 6723 with 3 at 1,2,3
% 30.15/7.83 Id : 2768, {_}: meet ?5630 zero =<= complement (join (complement ?5630) top) [5630] by Super 5 with 2707 at 2,1,3
% 30.15/7.83 Id : 2776, {_}: meet ?5630 zero =<= complement (join top (complement ?5630)) [5630] by Demod 2768 with 2 at 1,3
% 30.15/7.83 Id : 2769, {_}: meet zero ?5632 =<= complement (join top (complement ?5632)) [5632] by Super 5 with 2707 at 1,1,3
% 30.15/7.83 Id : 3150, {_}: join top (complement ?6018) =>= complement (meet zero ?6018) [6018] by Super 2685 with 2769 at 1,3
% 30.15/7.83 Id : 3377, {_}: meet ?5630 zero =<= complement (complement (meet zero ?5630)) [5630] by Demod 2776 with 3150 at 1,3
% 30.15/7.83 Id : 3378, {_}: meet ?5630 zero =?= meet zero ?5630 [5630] by Demod 3377 with 2685 at 3
% 30.15/7.83 Id : 6751, {_}: join (complement zero) (complement ?9441) =<= join (complement zero) (complement (join (complement zero) (join ?9441 (meet ?9441 zero)))) [9441] by Super 6743 with 3378 at 2,2,1,2,3
% 30.15/7.83 Id : 6847, {_}: join top (complement ?9441) =<= join (complement zero) (complement (join (complement zero) (join ?9441 (meet ?9441 zero)))) [9441] by Demod 6751 with 2707 at 1,2
% 30.15/7.83 Id : 6848, {_}: join top (complement ?9441) =<= join top (complement (join (complement zero) (join ?9441 (meet ?9441 zero)))) [9441] by Demod 6847 with 2707 at 1,3
% 30.15/7.83 Id : 6849, {_}: join top (complement ?9441) =<= join top (complement (join top (join ?9441 (meet ?9441 zero)))) [9441] by Demod 6848 with 2707 at 1,1,2,3
% 30.15/7.83 Id : 2708, {_}: join ?5567 zero =>= ?5567 [5567] by Super 2 with 2677 at 3
% 30.15/7.83 Id : 2832, {_}: ?5733 =<= join (complement (complement ?5733)) (meet ?5733 zero) [5733] by Super 58 with 2708 at 1,1,3
% 30.15/7.83 Id : 2889, {_}: ?5733 =<= join ?5733 (meet ?5733 zero) [5733] by Demod 2832 with 2685 at 1,3
% 30.15/7.83 Id : 6850, {_}: join top (complement ?9441) =<= join top (complement (join top ?9441)) [9441] by Demod 6849 with 2889 at 2,1,2,3
% 30.15/7.83 Id : 6851, {_}: complement (meet zero ?9441) =<= join top (complement (join top ?9441)) [9441] by Demod 6850 with 3150 at 2
% 30.15/7.83 Id : 9306, {_}: complement (meet zero ?11214) =<= complement (meet zero (join top ?11214)) [11214] by Demod 6851 with 3150 at 3
% 30.15/7.83 Id : 9312, {_}: complement (meet zero (complement ?11226)) =<= complement (meet zero (complement (meet zero ?11226))) [11226] by Super 9306 with 3150 at 2,1,3
% 30.15/7.83 Id : 3161, {_}: meet zero ?6044 =<= complement (join top (complement ?6044)) [6044] by Super 5 with 2707 at 1,1,3
% 30.15/7.83 Id : 3164, {_}: meet zero (complement ?6050) =>= complement (join top ?6050) [6050] by Super 3161 with 2685 at 2,1,3
% 30.15/7.83 Id : 9338, {_}: complement (complement (join top ?11226)) =<= complement (meet zero (complement (meet zero ?11226))) [11226] by Demod 9312 with 3164 at 1,2
% 30.15/7.83 Id : 9339, {_}: complement (complement (join top ?11226)) =<= complement (complement (join top (meet zero ?11226))) [11226] by Demod 9338 with 3164 at 1,3
% 30.15/7.83 Id : 9340, {_}: join top ?11226 =<= complement (complement (join top (meet zero ?11226))) [11226] by Demod 9339 with 2685 at 2
% 30.15/7.83 Id : 9443, {_}: join top ?11324 =<= join top (meet zero ?11324) [11324] by Demod 9340 with 2685 at 3
% 30.15/7.83 Id : 9449, {_}: join top ?11333 =<= join top (meet ?11333 zero) [11333] by Super 9443 with 3378 at 2,3
% 30.15/7.83 Id : 9307, {_}: complement (meet zero ?11216) =<= complement (meet zero (join ?11216 top)) [11216] by Super 9306 with 2 at 2,1,3
% 30.15/7.83 Id : 9712, {_}: meet zero (join ?11483 top) =>= complement (complement (meet zero ?11483)) [11483] by Super 2685 with 9307 at 1,3
% 30.15/7.83 Id : 9758, {_}: meet zero (join ?11483 top) =>= meet zero ?11483 [11483] by Demod 9712 with 2685 at 3
% 30.15/7.83 Id : 21018, {_}: join ?19444 (join ?19444 ?19445) =>= join ?19444 ?19445 [19445, 19444] by Super 3 with 4227 at 1,3
% 30.15/7.83 Id : 21078, {_}: join ?19589 top =<= join ?19589 (complement ?19589) [19589] by Super 21018 with 13 at 2,2
% 30.15/7.83 Id : 21342, {_}: join ?19589 top =>= top [19589] by Demod 21078 with 13 at 3
% 30.15/7.83 Id : 21510, {_}: meet zero top =?= meet zero ?11483 [11483] by Demod 9758 with 21342 at 2,2
% 30.15/7.83 Id : 189, {_}: meet ?475 top =<= complement (join (complement ?475) zero) [475] by Super 5 with 185 at 2,1,3
% 30.15/7.83 Id : 195, {_}: meet ?475 top =<= complement (join zero (complement ?475)) [475] by Demod 189 with 2 at 1,3
% 30.15/7.83 Id : 190, {_}: meet top ?477 =<= complement (join zero (complement ?477)) [477] by Super 5 with 185 at 1,1,3
% 30.15/7.83 Id : 515, {_}: meet ?475 top =?= meet top ?475 [475] by Demod 195 with 190 at 3
% 30.15/7.83 Id : 2691, {_}: meet top ?477 =>= complement (complement ?477) [477] by Demod 190 with 2677 at 1,3
% 30.15/7.83 Id : 2693, {_}: meet ?475 top =>= complement (complement ?475) [475] by Demod 515 with 2691 at 3
% 30.15/7.83 Id : 2700, {_}: meet ?475 top =>= ?475 [475] by Demod 2693 with 2685 at 3
% 30.15/7.83 Id : 21511, {_}: zero =<= meet zero ?11483 [11483] by Demod 21510 with 2700 at 2
% 30.15/7.83 Id : 21540, {_}: meet ?5630 zero =>= zero [5630] by Demod 3378 with 21511 at 3
% 30.15/7.83 Id : 21601, {_}: join top ?11333 =?= join top zero [11333] by Demod 9449 with 21540 at 2,3
% 30.15/7.83 Id : 21607, {_}: join top ?11333 =>= join zero top [11333] by Demod 21601 with 2 at 3
% 30.15/7.83 Id : 21608, {_}: join top ?11333 =>= top [11333] by Demod 21607 with 2677 at 3
% 30.15/7.83 Id : 34000, {_}: join ?427 (join (complement ?427) ?428) =>= top [428, 427] by Demod 154 with 21608 at 3
% 30.15/7.83 Id : 34006, {_}: meet (complement sk2) top =<= meet (complement sk2) (join (complement sk1) ?28074) [28074] by Super 26004 with 34000 at 2,2
% 30.15/7.83 Id : 34266, {_}: meet top (complement sk2) =<= meet (complement sk2) (join (complement sk1) ?28074) [28074] by Demod 34006 with 68 at 2
% 30.15/7.83 Id : 2698, {_}: meet top ?477 =>= ?477 [477] by Demod 2691 with 2685 at 3
% 30.15/7.83 Id : 34267, {_}: complement sk2 =<= meet (complement sk2) (join (complement sk1) ?28074) [28074] by Demod 34266 with 2698 at 2
% 30.15/7.83 Id : 34337, {_}: join (complement sk2) (join (complement sk1) ?28480) =>= join (complement sk1) ?28480 [28480] by Super 22834 with 34267 at 1,2
% 30.15/7.83 Id : 34074, {_}: join ?28295 (join (complement ?28295) ?28296) =>= top [28296, 28295] by Demod 154 with 21608 at 3
% 30.15/7.83 Id : 14237, {_}: join (complement ?14130) (complement ?14131) =>= complement (meet ?14130 ?14131) [14131, 14130] by Demod 14236 with 4227 at 1,3
% 30.15/7.83 Id : 34090, {_}: join ?28344 (complement (meet ?28344 ?28345)) =>= top [28345, 28344] by Super 34074 with 14237 at 2,2
% 30.15/7.83 Id : 75571, {_}: join (complement sk2) top =<= join (complement sk1) (complement (meet (complement sk1) ?60238)) [60238] by Super 34337 with 34090 at 2,2
% 30.15/7.83 Id : 75908, {_}: join top (complement sk2) =<= join (complement sk1) (complement (meet (complement sk1) ?60238)) [60238] by Demod 75571 with 2 at 2
% 30.15/7.83 Id : 75909, {_}: join top (complement sk2) =<= complement (meet sk1 (meet (complement sk1) ?60238)) [60238] by Demod 75908 with 14237 at 3
% 30.15/7.83 Id : 75910, {_}: top =<= complement (meet sk1 (meet (complement sk1) ?60238)) [60238] by Demod 75909 with 21608 at 2
% 30.15/7.83 Id : 76139, {_}: meet sk1 (meet (complement sk1) ?60783) =<= meet (meet sk1 (meet (complement sk1) ?60783)) (converse (complement (converse top))) [60783] by Super 10054 with 75910 at 1,1,1,2,3
% 30.15/7.83 Id : 76163, {_}: meet sk1 (meet (complement sk1) ?60783) =<= meet (converse (complement (converse top))) (meet sk1 (meet (complement sk1) ?60783)) [60783] by Demod 76139 with 68 at 3
% 30.15/7.83 Id : 76164, {_}: meet sk1 (meet (complement sk1) ?60783) =<= meet (converse (complement top)) (meet sk1 (meet (complement sk1) ?60783)) [60783] by Demod 76163 with 5147 at 1,1,1,3
% 30.15/7.83 Id : 76165, {_}: meet sk1 (meet (complement sk1) ?60783) =<= meet (converse zero) (meet sk1 (meet (complement sk1) ?60783)) [60783] by Demod 76164 with 185 at 1,1,3
% 30.15/7.83 Id : 2720, {_}: converse (converse ?5599) =<= join (converse zero) ?5599 [5599] by Super 119 with 2677 at 1,2
% 30.15/7.83 Id : 2734, {_}: ?5599 =<= join (converse zero) ?5599 [5599] by Demod 2720 with 9 at 2
% 30.15/7.83 Id : 2961, {_}: zero =<= converse zero [] by Super 2708 with 2734 at 2
% 30.15/7.83 Id : 76166, {_}: meet sk1 (meet (complement sk1) ?60783) =<= meet zero (meet sk1 (meet (complement sk1) ?60783)) [60783] by Demod 76165 with 2961 at 1,3
% 30.15/7.83 Id : 76311, {_}: meet sk1 (meet (complement sk1) ?60875) =>= zero [60875] by Demod 76166 with 21511 at 3
% 30.15/7.83 Id : 76687, {_}: meet sk1 (complement (join sk1 ?61061)) =>= zero [61061] by Super 76311 with 15518 at 2,2
% 30.15/7.83 Id : 1532, {_}: join (join ?3347 ?3348) (join ?3349 ?3350) =?= join (join ?3347 (join ?3348 ?3349)) ?3350 [3350, 3349, 3348, 3347] by Super 26 with 3 at 1,3
% 30.15/7.83 Id : 1542, {_}: join (join ?3404 sk2) (join sk1 ?3405) =>= join (join ?3404 sk2) ?3405 [3405, 3404] by Super 1532 with 171 at 2,1,3
% 30.15/7.83 Id : 1663, {_}: join sk1 (join ?3405 (join ?3404 sk2)) =>= join (join ?3404 sk2) ?3405 [3404, 3405] by Demod 1542 with 23 at 2
% 30.15/7.83 Id : 27, {_}: join ?77 (join ?78 ?79) =?= join (join ?78 ?77) ?79 [79, 78, 77] by Super 26 with 2 at 1,3
% 30.15/7.83 Id : 1664, {_}: join sk1 (join ?3405 (join ?3404 sk2)) =>= join sk2 (join ?3404 ?3405) [3404, 3405] by Demod 1663 with 27 at 3
% 30.15/7.83 Id : 377, {_}: join ?897 (join ?898 ?899) =?= join ?898 (join ?899 ?897) [899, 898, 897] by Super 2 with 3 at 3
% 30.15/7.83 Id : 385, {_}: join (join sk1 ?929) (join ?930 sk2) =>= join ?930 (join sk2 ?929) [930, 929] by Super 377 with 172 at 2,3
% 30.15/7.83 Id : 445, {_}: join sk1 (join ?929 (join ?930 sk2)) =>= join ?930 (join sk2 ?929) [930, 929] by Demod 385 with 3 at 2
% 30.15/7.83 Id : 47399, {_}: join ?3404 (join sk2 ?3405) =?= join sk2 (join ?3404 ?3405) [3405, 3404] by Demod 1664 with 445 at 2
% 30.15/7.83 Id : 76703, {_}: meet sk1 (complement (join sk2 (join sk1 ?61092))) =>= zero [61092] by Super 76687 with 47399 at 1,2,2
% 30.15/7.83 Id : 77165, {_}: meet sk1 (complement (join sk2 ?61316)) =>= zero [61316] by Demod 76703 with 172 at 1,2,2
% 30.15/7.83 Id : 78499, {_}: meet sk1 (complement (join ?62166 sk2)) =>= zero [62166] by Super 77165 with 2 at 1,2,2
% 30.15/7.83 Id : 78520, {_}: meet sk1 (meet ?62211 (complement sk2)) =>= zero [62211] by Super 78499 with 14716 at 2,2
% 30.15/7.83 Id : 79367, {_}: meet ?62570 (complement sk2) =<= join (meet (meet ?62570 (complement sk2)) (complement sk1)) zero [62570] by Super 15491 with 78520 at 2,3
% 30.15/7.83 Id : 79485, {_}: meet ?62570 (complement sk2) =<= join zero (meet (meet ?62570 (complement sk2)) (complement sk1)) [62570] by Demod 79367 with 2 at 3
% 30.15/7.83 Id : 79486, {_}: meet ?62570 (complement sk2) =<= meet (meet ?62570 (complement sk2)) (complement sk1) [62570] by Demod 79485 with 2677 at 3
% 30.15/7.83 Id : 79487, {_}: meet ?62570 (complement sk2) =<= meet (complement sk1) (meet ?62570 (complement sk2)) [62570] by Demod 79486 with 68 at 3
% 30.15/7.83 Id : 82022, {_}: complement sk1 =<= join (complement sk1) (meet ?64007 (complement sk2)) [64007] by Super 4338 with 79487 at 2,3
% 30.15/7.83 Id : 82770, {_}: join (complement sk1) (meet ?64389 (complement (complement sk2))) =>= join ?64389 (complement sk1) [64389] by Super 15495 with 82022 at 1,2
% 30.15/7.83 Id : 82966, {_}: join (complement sk1) (meet ?64556 sk2) =>= join ?64556 (complement sk1) [64556] by Demod 82770 with 2685 at 2,2,2
% 30.15/7.83 Id : 82967, {_}: join (complement sk1) (meet sk2 ?64558) =>= join ?64558 (complement sk1) [64558] by Super 82966 with 68 at 2,2
% 30.15/7.83 Id : 83104, {_}: meet sk1 (complement (meet sk2 ?64601)) =>= complement (join ?64601 (complement sk1)) [64601] by Super 14716 with 82967 at 1,3
% 30.15/7.83 Id : 83210, {_}: meet sk1 (complement (meet sk2 ?64601)) =>= meet (complement ?64601) sk1 [64601] by Demod 83104 with 14788 at 3
% 30.15/7.83 Id : 83504, {_}: meet sk1 (complement (meet sk2 ?64912)) =>= meet sk1 (complement ?64912) [64912] by Demod 83210 with 68 at 3
% 30.15/7.83 Id : 83525, {_}: meet sk1 (join (complement sk2) ?64947) =>= meet sk1 (complement (complement ?64947)) [64947] by Super 83504 with 14457 at 2,2
% 30.15/7.83 Id : 83875, {_}: meet sk1 (join (complement sk2) ?65172) =>= meet sk1 ?65172 [65172] by Demod 83525 with 2685 at 2,3
% 30.15/7.83 Id : 32403, {_}: join ?27105 (meet ?27106 (complement ?27105)) =>= join ?27106 ?27105 [27106, 27105] by Super 15495 with 25230 at 1,2
% 30.15/7.83 Id : 83885, {_}: meet sk1 (join ?65189 (complement sk2)) =<= meet sk1 (meet ?65189 (complement (complement sk2))) [65189] by Super 83875 with 32403 at 2,2
% 30.15/7.83 Id : 82865, {_}: join (complement sk1) (meet ?64389 sk2) =>= join ?64389 (complement sk1) [64389] by Demod 82770 with 2685 at 2,2,2
% 30.15/7.83 Id : 82955, {_}: meet sk1 (complement (meet ?64535 sk2)) =>= complement (join ?64535 (complement sk1)) [64535] by Super 14716 with 82865 at 1,3
% 30.15/7.83 Id : 83001, {_}: meet sk1 (complement (meet ?64535 sk2)) =>= meet (complement ?64535) sk1 [64535] by Demod 82955 with 14788 at 3
% 30.15/7.83 Id : 83351, {_}: meet sk1 (complement (meet ?64794 sk2)) =>= meet sk1 (complement ?64794) [64794] by Demod 83001 with 68 at 3
% 30.15/7.83 Id : 83364, {_}: meet sk1 (join ?64815 (complement sk2)) =>= meet sk1 (complement (complement ?64815)) [64815] by Super 83351 with 14461 at 2,2
% 30.15/7.83 Id : 83458, {_}: meet sk1 (join ?64815 (complement sk2)) =>= meet sk1 ?64815 [64815] by Demod 83364 with 2685 at 2,3
% 30.15/7.83 Id : 83987, {_}: meet sk1 ?65189 =<= meet sk1 (meet ?65189 (complement (complement sk2))) [65189] by Demod 83885 with 83458 at 2
% 30.15/7.83 Id : 83988, {_}: meet sk1 ?65189 =<= meet sk1 (meet ?65189 sk2) [65189] by Demod 83987 with 2685 at 2,2,3
% 30.15/7.83 Id : 168158, {_}: join (meet sk1 ?127069) (meet ?127069 sk2) =>= meet ?127069 sk2 [127069] by Super 22834 with 83988 at 1,2
% 30.15/7.83 Id : 68260, {_}: meet ?53439 (join ?53440 ?53439) =>= ?53439 [53440, 53439] by Super 68259 with 2 at 2,2
% 30.15/7.83 Id : 168180, {_}: join sk1 (meet (join ?127104 sk1) sk2) =>= meet (join ?127104 sk1) sk2 [127104] by Super 168158 with 68260 at 1,2
% 30.15/7.83 Id : 304, {_}: join sk2 (join sk1 ?738) =>= join sk2 ?738 [738] by Super 3 with 171 at 1,3
% 30.15/7.83 Id : 305, {_}: join sk2 (join ?740 sk1) =>= join sk2 ?740 [740] by Super 304 with 2 at 2,2
% 30.15/7.83 Id : 151382, {_}: meet (join ?114999 sk1) (join sk2 ?114999) =>= join ?114999 sk1 [114999] by Super 69707 with 305 at 2,2
% 30.15/7.83 Id : 151421, {_}: meet (join (meet sk2 ?115082) sk1) sk2 =>= join (meet sk2 ?115082) sk1 [115082] by Super 151382 with 4338 at 2,2
% 30.15/7.83 Id : 151641, {_}: meet sk2 (join (meet sk2 ?115082) sk1) =>= join (meet sk2 ?115082) sk1 [115082] by Demod 151421 with 68 at 2
% 30.15/7.83 Id : 151642, {_}: meet sk2 (join (meet sk2 ?115082) sk1) =>= join sk1 (meet sk2 ?115082) [115082] by Demod 151641 with 2 at 3
% 30.15/7.83 Id : 151786, {_}: meet sk2 (join sk1 (meet sk2 ?115231)) =>= join sk1 (meet sk2 ?115231) [115231] by Demod 151642 with 2 at 2,2
% 30.15/7.83 Id : 151787, {_}: meet sk2 (join sk1 (meet ?115233 sk2)) =>= join sk1 (meet sk2 ?115233) [115233] by Super 151786 with 68 at 2,2,2
% 30.15/7.83 Id : 151427, {_}: meet (join (meet ?115093 sk2) sk1) sk2 =>= join (meet ?115093 sk2) sk1 [115093] by Super 151382 with 25230 at 2,2
% 30.15/7.83 Id : 151668, {_}: meet sk2 (join (meet ?115093 sk2) sk1) =>= join (meet ?115093 sk2) sk1 [115093] by Demod 151427 with 68 at 2
% 30.15/7.83 Id : 151669, {_}: meet sk2 (join (meet ?115093 sk2) sk1) =>= join sk1 (meet ?115093 sk2) [115093] by Demod 151668 with 2 at 3
% 30.15/7.83 Id : 151670, {_}: meet sk2 (join sk1 (meet ?115093 sk2)) =>= join sk1 (meet ?115093 sk2) [115093] by Demod 151669 with 2 at 2,2
% 30.15/7.83 Id : 152168, {_}: join sk1 (meet ?115233 sk2) =?= join sk1 (meet sk2 ?115233) [115233] by Demod 151787 with 151670 at 2
% 30.15/7.83 Id : 168363, {_}: join sk1 (meet sk2 (join ?127104 sk1)) =>= meet (join ?127104 sk1) sk2 [127104] by Demod 168180 with 152168 at 2
% 30.15/7.83 Id : 168812, {_}: join sk1 (meet sk2 (join ?127464 sk1)) =>= meet sk2 (join ?127464 sk1) [127464] by Demod 168363 with 68 at 3
% 30.15/7.83 Id : 168817, {_}: join sk1 (meet sk2 sk3) =<= meet sk2 (join sk3 sk1) [] by Super 168812 with 178 at 2,2,2
% 30.15/7.83 Id : 168931, {_}: join sk1 (meet sk3 sk2) =<= meet sk2 (join sk3 sk1) [] by Demod 168817 with 153388 at 2
% 30.15/7.83 Id : 168932, {_}: join sk1 (meet sk3 sk2) =>= meet sk2 sk3 [] by Demod 168931 with 178 at 2,3
% 30.15/7.83 Id : 168933, {_}: join sk1 (meet sk3 sk2) =>= meet sk3 sk2 [] by Demod 168932 with 68 at 3
% 30.15/7.83 Id : 169136, {_}: meet sk3 sk2 === meet sk3 sk2 [] by Demod 169135 with 168933 at 2
% 30.15/7.83 Id : 169135, {_}: join sk1 (meet sk3 sk2) =>= meet sk3 sk2 [] by Demod 169134 with 68 at 3
% 30.15/7.83 Id : 169134, {_}: join sk1 (meet sk3 sk2) =>= meet sk2 sk3 [] by Demod 1 with 153388 at 2
% 30.15/7.83 Id : 1, {_}: join sk1 (meet sk2 sk3) =>= meet sk2 sk3 [] by goals_16
% 30.15/7.83 % SZS output end CNFRefutation for theBenchmark.p
% 30.15/7.83 639: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 7.50618 using nrkbo
%------------------------------------------------------------------------------