TSTP Solution File: REL005-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : REL005-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/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 19:41:51 EDT 2022
% Result : Unsatisfiable 8.41s 2.48s
% Output : CNFRefutation 8.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : REL005-1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.12/0.33 % Computer : n016.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 13:17:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.33 4919: Facts:
% 0.12/0.33 4919: 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 4919: 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 4919: 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 4919: 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 4919: 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 4919: Id : 7, {_}: composition ?19 one =>= ?19 [19] by composition_identity_6 ?19
% 0.12/0.33 4919: 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 4919: Id : 9, {_}:
% 0.12/0.33 converse (converse ?25) =>= ?25
% 0.12/0.33 [25] by converse_idempotence_8 ?25
% 0.12/0.33 4919: 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 4919: 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 4919: 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 4919: Id : 13, {_}: top =<= join ?36 (complement ?36) [36] by def_top_12 ?36
% 0.12/0.33 4919: Id : 14, {_}: zero =<= meet ?38 (complement ?38) [38] by def_zero_13 ?38
% 0.12/0.33 4919: Goal:
% 0.12/0.34 4919: Id : 1, {_}:
% 0.12/0.34 converse (meet sk1 sk2) =<= meet (converse sk1) (converse sk2)
% 0.12/0.34 [] by goals_14
% 8.41/2.48 Statistics :
% 8.41/2.48 Max weight : 16
% 8.41/2.48 Found proof, 2.148057s
% 8.41/2.48 % SZS status Unsatisfiable for theBenchmark.p
% 8.41/2.48 % SZS output start CNFRefutation for theBenchmark.p
% 8.41/2.48 Id : 44, {_}: ?155 =<= join (complement (join (complement ?155) (complement ?156))) (complement (join (complement ?155) ?156)) [156, 155] by maddux3_a_kind_of_de_Morgan_3 ?155 ?156
% 8.41/2.48 Id : 13, {_}: top =<= join ?36 (complement ?36) [36] by def_top_12 ?36
% 8.41/2.48 Id : 3, {_}: join ?5 (join ?6 ?7) =?= join (join ?5 ?6) ?7 [7, 6, 5] by maddux2_join_associativity_2 ?5 ?6 ?7
% 8.41/2.48 Id : 130, {_}: converse (composition ?373 ?374) =<= composition (converse ?374) (converse ?373) [374, 373] by converse_multiplicativity_10 ?373 ?374
% 8.41/2.48 Id : 7, {_}: composition ?19 one =>= ?19 [19] by composition_identity_6 ?19
% 8.41/2.48 Id : 12, {_}: join (composition (converse ?33) (complement (composition ?33 ?34))) (complement ?34) =>= complement ?34 [34, 33] by converse_cancellativity_11 ?33 ?34
% 8.41/2.48 Id : 14, {_}: zero =<= meet ?38 (complement ?38) [38] by def_zero_13 ?38
% 8.41/2.48 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
% 8.41/2.48 Id : 116, {_}: converse (join ?343 ?344) =<= join (converse ?343) (converse ?344) [344, 343] by converse_additivity_9 ?343 ?344
% 8.41/2.48 Id : 9, {_}: converse (converse ?25) =>= ?25 [25] by converse_idempotence_8 ?25
% 8.41/2.48 Id : 5, {_}: meet ?12 ?13 =<= complement (join (complement ?12) (complement ?13)) [13, 12] by maddux4_definiton_of_meet_4 ?12 ?13
% 8.41/2.48 Id : 2, {_}: join ?2 ?3 =?= join ?3 ?2 [3, 2] by maddux1_join_commutativity_1 ?2 ?3
% 8.41/2.48 Id : 59, {_}: meet ?191 ?192 =<= complement (join (complement ?191) (complement ?192)) [192, 191] by maddux4_definiton_of_meet_4 ?191 ?192
% 8.41/2.48 Id : 62, {_}: meet ?202 ?203 =<= complement (join (complement ?203) (complement ?202)) [203, 202] by Super 59 with 2 at 1,3
% 8.41/2.48 Id : 66, {_}: meet ?202 ?203 =?= meet ?203 ?202 [203, 202] by Demod 62 with 5 at 3
% 8.41/2.48 Id : 118, {_}: converse (join (converse ?349) ?350) =>= join ?349 (converse ?350) [350, 349] by Super 116 with 9 at 1,3
% 8.41/2.48 Id : 55, {_}: ?9 =<= join (meet ?9 ?10) (complement (join (complement ?9) ?10)) [10, 9] by Demod 4 with 5 at 1,3
% 8.41/2.48 Id : 56, {_}: ?9 =<= join (complement (join (complement ?9) ?10)) (meet ?9 ?10) [10, 9] by Demod 55 with 2 at 3
% 8.41/2.48 Id : 166, {_}: ?450 =<= join (complement (join (complement ?450) (complement ?450))) zero [450] by Super 56 with 14 at 2,3
% 8.41/2.48 Id : 170, {_}: ?450 =<= join zero (complement (join (complement ?450) (complement ?450))) [450] by Demod 166 with 2 at 3
% 8.41/2.48 Id : 171, {_}: ?450 =<= join zero (meet ?450 ?450) [450] by Demod 170 with 5 at 2,3
% 8.41/2.48 Id : 714, {_}: converse (composition (converse ?1771) ?1772) =>= composition (converse ?1772) ?1771 [1772, 1771] by Super 130 with 9 at 2,3
% 8.41/2.48 Id : 720, {_}: converse (converse ?1793) =<= composition (converse one) ?1793 [1793] by Super 714 with 7 at 1,2
% 8.41/2.48 Id : 732, {_}: ?1793 =<= composition (converse one) ?1793 [1793] by Demod 720 with 9 at 2
% 8.41/2.48 Id : 737, {_}: one =<= converse one [] by Super 7 with 732 at 2
% 8.41/2.48 Id : 768, {_}: join (composition one (complement (composition one ?1847))) (complement ?1847) =>= complement ?1847 [1847] by Super 12 with 737 at 1,1,2
% 8.41/2.48 Id : 760, {_}: ?1793 =<= composition one ?1793 [1793] by Demod 732 with 737 at 1,3
% 8.41/2.48 Id : 775, {_}: join (complement (composition one ?1847)) (complement ?1847) =>= complement ?1847 [1847] by Demod 768 with 760 at 1,2
% 8.41/2.48 Id : 776, {_}: join (complement ?1847) (complement ?1847) =>= complement ?1847 [1847] by Demod 775 with 760 at 1,1,2
% 8.41/2.48 Id : 1170, {_}: meet ?2814 ?2814 =>= complement (complement ?2814) [2814] by Super 5 with 776 at 1,3
% 8.41/2.48 Id : 1237, {_}: ?450 =<= join zero (complement (complement ?450)) [450] by Demod 171 with 1170 at 2,3
% 8.41/2.48 Id : 1176, {_}: join (complement ?2831) (complement ?2831) =>= complement ?2831 [2831] by Demod 775 with 760 at 1,1,2
% 8.41/2.48 Id : 151, {_}: meet ?417 (complement ?417) =>= complement top [417] by Super 5 with 13 at 1,3
% 8.41/2.48 Id : 172, {_}: zero =<= complement top [] by Demod 151 with 14 at 2
% 8.41/2.48 Id : 1178, {_}: join (complement top) zero =>= complement top [] by Super 1176 with 172 at 2,2
% 8.41/2.48 Id : 1194, {_}: join zero (complement top) =>= complement top [] by Demod 1178 with 2 at 2
% 8.41/2.48 Id : 1195, {_}: join zero (complement top) =>= zero [] by Demod 1194 with 172 at 3
% 8.41/2.48 Id : 1196, {_}: join zero zero =>= zero [] by Demod 1195 with 172 at 2,2
% 8.41/2.48 Id : 1259, {_}: join zero (join zero ?2901) =>= join zero ?2901 [2901] by Super 3 with 1196 at 1,3
% 8.41/2.48 Id : 1270, {_}: join zero ?2922 =<= join zero (complement (complement ?2922)) [2922] by Super 1259 with 1237 at 2,2
% 8.41/2.48 Id : 1304, {_}: join zero ?2922 =>= ?2922 [2922] by Demod 1270 with 1237 at 3
% 8.41/2.48 Id : 1319, {_}: ?450 =<= complement (complement ?450) [450] by Demod 1237 with 1304 at 3
% 8.41/2.48 Id : 177, {_}: meet top ?465 =<= complement (join zero (complement ?465)) [465] by Super 5 with 172 at 1,1,3
% 8.41/2.48 Id : 285, {_}: meet ?718 (join zero (complement ?719)) =<= complement (join (complement ?718) (meet top ?719)) [719, 718] by Super 5 with 177 at 2,1,3
% 8.41/2.48 Id : 12491, {_}: meet ?718 (complement ?719) =<= complement (join (complement ?718) (meet top ?719)) [719, 718] by Demod 285 with 1304 at 2,2
% 8.41/2.48 Id : 1313, {_}: meet top ?465 =>= complement (complement ?465) [465] by Demod 177 with 1304 at 1,3
% 8.41/2.48 Id : 1321, {_}: meet top ?465 =>= ?465 [465] by Demod 1313 with 1319 at 3
% 8.41/2.48 Id : 12492, {_}: meet ?718 (complement ?719) =<= complement (join (complement ?718) ?719) [719, 718] by Demod 12491 with 1321 at 2,1,3
% 8.41/2.48 Id : 12606, {_}: join (complement ?16450) ?16451 =<= complement (meet ?16450 (complement ?16451)) [16451, 16450] by Super 1319 with 12492 at 1,3
% 8.41/2.48 Id : 12905, {_}: join (complement ?16867) (complement ?16868) =>= complement (meet ?16867 ?16868) [16868, 16867] by Super 12606 with 1319 at 2,1,3
% 8.41/2.48 Id : 12913, {_}: join ?16891 (complement ?16892) =<= complement (meet (complement ?16891) ?16892) [16892, 16891] by Super 12905 with 1319 at 1,2
% 8.41/2.48 Id : 579, {_}: converse (join (converse ?1320) ?1321) =>= join ?1320 (converse ?1321) [1321, 1320] by Super 116 with 9 at 1,3
% 8.41/2.48 Id : 588, {_}: converse top =<= join ?1351 (converse (complement (converse ?1351))) [1351] by Super 579 with 13 at 1,2
% 8.41/2.48 Id : 117, {_}: converse (join ?346 (converse ?347)) =>= join (converse ?346) ?347 [347, 346] by Super 116 with 9 at 2,3
% 8.41/2.48 Id : 21, {_}: join ?59 (join ?60 ?61) =?= join ?60 (join ?61 ?59) [61, 60, 59] by Super 2 with 3 at 3
% 8.41/2.48 Id : 1334, {_}: top =<= complement zero [] by Super 13 with 1304 at 3
% 8.41/2.48 Id : 1543, {_}: join (complement zero) top =>= complement zero [] by Super 776 with 1334 at 2,2
% 8.41/2.48 Id : 1563, {_}: join top (complement zero) =>= complement zero [] by Demod 1543 with 2 at 2
% 8.41/2.48 Id : 1564, {_}: join top (complement zero) =>= top [] by Demod 1563 with 1334 at 3
% 8.41/2.48 Id : 1565, {_}: join top top =>= top [] by Demod 1564 with 1334 at 2,2
% 8.41/2.48 Id : 1574, {_}: join top (join ?3862 top) =>= join ?3862 top [3862] by Super 21 with 1565 at 2,3
% 8.41/2.48 Id : 555, {_}: converse (join ?1254 (converse ?1255)) =>= join (converse ?1254) ?1255 [1255, 1254] by Super 116 with 9 at 2,3
% 8.41/2.48 Id : 153, {_}: join (complement ?421) ?421 =>= top [421] by Super 2 with 13 at 3
% 8.41/2.48 Id : 560, {_}: converse top =<= join (converse (complement (converse ?1271))) ?1271 [1271] by Super 555 with 153 at 1,2
% 8.41/2.48 Id : 3134, {_}: join top (converse top) =<= join (converse (complement (converse top))) top [] by Super 1574 with 560 at 2,2
% 8.41/2.48 Id : 3159, {_}: join top (converse top) =<= join top (converse (complement (converse top))) [] by Demod 3134 with 2 at 3
% 8.41/2.48 Id : 3210, {_}: converse (join top (converse top)) =<= join (converse top) (complement (converse top)) [] by Super 117 with 3159 at 1,2
% 8.41/2.48 Id : 3220, {_}: join (converse top) top =<= join (converse top) (complement (converse top)) [] by Demod 3210 with 117 at 2
% 8.41/2.48 Id : 3221, {_}: join (converse top) top =<= join (complement (converse top)) (converse top) [] by Demod 3220 with 2 at 3
% 8.41/2.48 Id : 3222, {_}: join top (converse top) =<= join (complement (converse top)) (converse top) [] by Demod 3221 with 2 at 2
% 8.41/2.48 Id : 3223, {_}: join top (converse top) =>= top [] by Demod 3222 with 153 at 3
% 8.41/2.48 Id : 3252, {_}: converse top =<= join (converse top) top [] by Super 117 with 3223 at 1,2
% 8.41/2.48 Id : 3261, {_}: converse top =<= join top (converse top) [] by Demod 3252 with 2 at 3
% 8.41/2.48 Id : 3262, {_}: converse top =>= top [] by Demod 3261 with 3223 at 3
% 8.41/2.48 Id : 3702, {_}: top =<= join ?1351 (converse (complement (converse ?1351))) [1351] by Demod 588 with 3262 at 2
% 8.41/2.48 Id : 3711, {_}: ?6923 =<= join (complement top) (meet ?6923 (converse (complement (converse (complement ?6923))))) [6923] by Super 56 with 3702 at 1,1,3
% 8.41/2.49 Id : 3803, {_}: ?6923 =<= join zero (meet ?6923 (converse (complement (converse (complement ?6923))))) [6923] by Demod 3711 with 172 at 1,3
% 8.41/2.49 Id : 3804, {_}: ?6923 =<= meet ?6923 (converse (complement (converse (complement ?6923)))) [6923] by Demod 3803 with 1304 at 3
% 8.41/2.49 Id : 24314, {_}: join ?31108 (complement (converse (complement (converse (complement (complement ?31108)))))) =>= complement (complement ?31108) [31108] by Super 12913 with 3804 at 1,3
% 8.41/2.49 Id : 24330, {_}: join ?31108 (complement (converse (complement (converse ?31108)))) =>= complement (complement ?31108) [31108] by Demod 24314 with 1319 at 1,1,1,1,2,2
% 8.41/2.49 Id : 24331, {_}: join ?31108 (complement (converse (complement (converse ?31108)))) =>= ?31108 [31108] by Demod 24330 with 1319 at 3
% 8.41/2.49 Id : 53677, {_}: converse (converse ?52936) =<= join ?52936 (converse (complement (converse (complement (converse (converse ?52936)))))) [52936] by Super 118 with 24331 at 1,2
% 8.41/2.49 Id : 53874, {_}: ?52936 =<= join ?52936 (converse (complement (converse (complement (converse (converse ?52936)))))) [52936] by Demod 53677 with 9 at 2
% 8.41/2.49 Id : 53875, {_}: ?52936 =<= join ?52936 (converse (complement (converse (complement ?52936)))) [52936] by Demod 53874 with 9 at 1,1,1,1,2,3
% 8.41/2.49 Id : 45, {_}: ?158 =<= join (complement (join (complement ?158) (complement ?159))) (complement (join ?159 (complement ?158))) [159, 158] by Super 44 with 2 at 1,2,3
% 8.41/2.49 Id : 4615, {_}: ?158 =<= join (meet ?158 ?159) (complement (join ?159 (complement ?158))) [159, 158] by Demod 45 with 5 at 1,3
% 8.41/2.49 Id : 4631, {_}: ?7967 =<= join (complement (join ?7968 (complement ?7967))) (meet ?7967 ?7968) [7968, 7967] by Demod 4615 with 2 at 3
% 8.41/2.49 Id : 197, {_}: meet (complement ?478) ?478 =>= complement top [478] by Super 5 with 153 at 1,3
% 8.41/2.49 Id : 211, {_}: meet (complement ?478) ?478 =>= zero [478] by Demod 197 with 172 at 3
% 8.41/2.49 Id : 4632, {_}: complement ?7970 =<= join (complement (join ?7970 (complement (complement ?7970)))) zero [7970] by Super 4631 with 211 at 2,3
% 8.41/2.49 Id : 4682, {_}: complement ?7970 =<= join zero (complement (join ?7970 (complement (complement ?7970)))) [7970] by Demod 4632 with 2 at 3
% 8.41/2.49 Id : 4683, {_}: complement ?7970 =<= complement (join ?7970 (complement (complement ?7970))) [7970] by Demod 4682 with 1304 at 3
% 8.41/2.49 Id : 4684, {_}: complement ?7970 =<= complement (join ?7970 ?7970) [7970] by Demod 4683 with 1319 at 2,1,3
% 8.41/2.49 Id : 4865, {_}: join ?8109 ?8109 =>= complement (complement ?8109) [8109] by Super 1319 with 4684 at 1,3
% 8.41/2.49 Id : 4928, {_}: join ?8109 ?8109 =>= ?8109 [8109] by Demod 4865 with 1319 at 3
% 8.41/2.49 Id : 8683, {_}: join ?11676 (join ?11677 ?11676) =>= join ?11677 ?11676 [11677, 11676] by Super 21 with 4928 at 2,3
% 8.41/2.49 Id : 48, {_}: ?167 =<= join (complement (join (complement ?168) (complement ?167))) (complement (join (complement ?167) ?168)) [168, 167] by Super 44 with 2 at 1,1,3
% 8.41/2.49 Id : 6904, {_}: ?167 =<= join (meet ?168 ?167) (complement (join (complement ?167) ?168)) [168, 167] by Demod 48 with 5 at 1,3
% 8.41/2.49 Id : 6905, {_}: ?167 =<= join (complement (join (complement ?167) ?168)) (meet ?168 ?167) [168, 167] by Demod 6904 with 2 at 3
% 8.41/2.49 Id : 8722, {_}: join (meet ?11803 ?11804) ?11804 =<= join (complement (join (complement ?11804) ?11803)) (meet ?11803 ?11804) [11804, 11803] by Super 8683 with 6905 at 2,2
% 8.41/2.49 Id : 8828, {_}: join (meet ?11803 ?11804) ?11804 =>= ?11804 [11804, 11803] by Demod 8722 with 6905 at 3
% 8.41/2.49 Id : 24302, {_}: join ?31089 (converse (complement (converse (complement ?31089)))) =>= converse (complement (converse (complement ?31089))) [31089] by Super 8828 with 3804 at 1,2
% 8.41/2.49 Id : 53876, {_}: ?52936 =<= converse (complement (converse (complement ?52936))) [52936] by Demod 53875 with 24302 at 3
% 8.41/2.49 Id : 54176, {_}: converse ?53443 =<= complement (converse (complement ?53443)) [53443] by Super 9 with 53876 at 1,2
% 8.41/2.49 Id : 54185, {_}: converse (meet (complement ?53462) ?53463) =<= complement (converse (join ?53462 (complement ?53463))) [53463, 53462] by Super 54176 with 12913 at 1,1,3
% 8.41/2.49 Id : 54049, {_}: converse ?53243 =<= complement (converse (complement ?53243)) [53243] by Super 9 with 53876 at 1,2
% 8.41/2.49 Id : 54156, {_}: converse (complement ?53392) =>= complement (converse ?53392) [53392] by Super 1319 with 54049 at 1,3
% 8.41/2.49 Id : 54331, {_}: converse (join (complement (converse ?53516)) ?53517) =>= join (complement ?53516) (converse ?53517) [53517, 53516] by Super 118 with 54156 at 1,1,2
% 8.41/2.49 Id : 58196, {_}: converse (meet (complement (complement (converse ?58108))) ?58109) =>= complement (join (complement ?58108) (converse (complement ?58109))) [58109, 58108] by Super 54185 with 54331 at 1,3
% 8.41/2.49 Id : 58417, {_}: converse (meet (converse ?58108) ?58109) =<= complement (join (complement ?58108) (converse (complement ?58109))) [58109, 58108] by Demod 58196 with 1319 at 1,1,2
% 8.41/2.49 Id : 58418, {_}: converse (meet (converse ?58108) ?58109) =<= meet ?58108 (complement (converse (complement ?58109))) [58109, 58108] by Demod 58417 with 12492 at 3
% 8.41/2.49 Id : 58419, {_}: converse (meet (converse ?58108) ?58109) =<= meet ?58108 (complement (complement (converse ?58109))) [58109, 58108] by Demod 58418 with 54156 at 1,2,3
% 8.41/2.49 Id : 58684, {_}: converse (meet (converse ?58788) ?58789) =>= meet ?58788 (converse ?58789) [58789, 58788] by Demod 58419 with 1319 at 2,3
% 8.41/2.49 Id : 58685, {_}: converse (meet ?58791 ?58792) =<= meet (converse ?58791) (converse ?58792) [58792, 58791] by Super 58684 with 9 at 1,1,2
% 8.41/2.49 Id : 59431, {_}: converse (meet sk2 sk1) === converse (meet sk2 sk1) [] by Demod 59430 with 58685 at 3
% 8.41/2.49 Id : 59430, {_}: converse (meet sk2 sk1) =<= meet (converse sk2) (converse sk1) [] by Demod 59429 with 66 at 3
% 8.41/2.49 Id : 59429, {_}: converse (meet sk2 sk1) =<= meet (converse sk1) (converse sk2) [] by Demod 1 with 66 at 1,2
% 8.41/2.49 Id : 1, {_}: converse (meet sk1 sk2) =<= meet (converse sk1) (converse sk2) [] by goals_14
% 8.41/2.49 % SZS output end CNFRefutation for theBenchmark.p
% 8.41/2.49 4919: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 2.133132 using nrkbo
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