TSTP Solution File: REL007-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : REL007-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n017.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 19:41:54 EDT 2022
% Result : Unsatisfiable 13.88s 3.83s
% Output : CNFRefutation 13.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : REL007-1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.12/0.33 % Computer : n017.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jul 8 11:19:31 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 7578: Facts:
% 0.12/0.34 7578: 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 7578: 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 7578: 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 7578: 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 7578: 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 7578: Id : 7, {_}: composition ?19 one =>= ?19 [19] by composition_identity_6 ?19
% 0.12/0.34 7578: 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 7578: Id : 9, {_}:
% 0.12/0.34 converse (converse ?25) =>= ?25
% 0.12/0.34 [25] by converse_idempotence_8 ?25
% 0.12/0.34 7578: 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 7578: 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 7578: 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 7578: Id : 13, {_}: top =<= join ?36 (complement ?36) [36] by def_top_12 ?36
% 0.12/0.34 7578: Id : 14, {_}: zero =<= meet ?38 (complement ?38) [38] by def_zero_13 ?38
% 0.12/0.34 7578: Id : 15, {_}: meet sk1 (converse sk2) =>= zero [] by goals_14
% 0.12/0.34 7578: Goal:
% 0.12/0.34 7578: Id : 1, {_}: meet (converse sk1) sk2 =>= zero [] by goals_15
% 13.88/3.83 Statistics :
% 13.88/3.83 Max weight : 20
% 13.88/3.83 Found proof, 3.485921s
% 13.88/3.83 % SZS status Unsatisfiable for theBenchmark.p
% 13.88/3.83 % SZS output start CNFRefutation for theBenchmark.p
% 13.88/3.83 Id : 10, {_}: converse (join ?27 ?28) =<= join (converse ?27) (converse ?28) [28, 27] by converse_additivity_9 ?27 ?28
% 13.88/3.83 Id : 15, {_}: meet sk1 (converse sk2) =>= zero [] by goals_14
% 13.88/3.83 Id : 117, {_}: converse (join ?344 ?345) =<= join (converse ?344) (converse ?345) [345, 344] by converse_additivity_9 ?344 ?345
% 13.88/3.83 Id : 45, {_}: ?156 =<= join (complement (join (complement ?156) (complement ?157))) (complement (join (complement ?156) ?157)) [157, 156] by maddux3_a_kind_of_de_Morgan_3 ?156 ?157
% 13.88/3.83 Id : 3, {_}: join ?5 (join ?6 ?7) =?= join (join ?5 ?6) ?7 [7, 6, 5] by maddux2_join_associativity_2 ?5 ?6 ?7
% 13.88/3.83 Id : 13, {_}: top =<= join ?36 (complement ?36) [36] by def_top_12 ?36
% 13.88/3.83 Id : 25, {_}: join ?72 (join ?73 ?74) =?= join (join ?72 ?73) ?74 [74, 73, 72] by maddux2_join_associativity_2 ?72 ?73 ?74
% 13.88/3.83 Id : 9, {_}: converse (converse ?25) =>= ?25 [25] by converse_idempotence_8 ?25
% 13.88/3.83 Id : 130, {_}: converse (composition ?374 ?375) =<= composition (converse ?375) (converse ?374) [375, 374] by converse_multiplicativity_10 ?374 ?375
% 13.88/3.83 Id : 7, {_}: composition ?19 one =>= ?19 [19] by composition_identity_6 ?19
% 13.88/3.83 Id : 12, {_}: join (composition (converse ?33) (complement (composition ?33 ?34))) (complement ?34) =>= complement ?34 [34, 33] by converse_cancellativity_11 ?33 ?34
% 13.88/3.83 Id : 14, {_}: zero =<= meet ?38 (complement ?38) [38] by def_zero_13 ?38
% 13.88/3.83 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
% 13.88/3.83 Id : 5, {_}: meet ?12 ?13 =<= complement (join (complement ?12) (complement ?13)) [13, 12] by maddux4_definiton_of_meet_4 ?12 ?13
% 13.88/3.83 Id : 2, {_}: join ?2 ?3 =?= join ?3 ?2 [3, 2] by maddux1_join_commutativity_1 ?2 ?3
% 13.88/3.83 Id : 60, {_}: meet ?192 ?193 =<= complement (join (complement ?192) (complement ?193)) [193, 192] by maddux4_definiton_of_meet_4 ?192 ?193
% 13.88/3.83 Id : 63, {_}: meet ?203 ?204 =<= complement (join (complement ?204) (complement ?203)) [204, 203] by Super 60 with 2 at 1,3
% 13.88/3.83 Id : 67, {_}: meet ?203 ?204 =?= meet ?204 ?203 [204, 203] by Demod 63 with 5 at 3
% 13.88/3.83 Id : 56, {_}: ?9 =<= join (meet ?9 ?10) (complement (join (complement ?9) ?10)) [10, 9] by Demod 4 with 5 at 1,3
% 13.88/3.83 Id : 57, {_}: ?9 =<= join (complement (join (complement ?9) ?10)) (meet ?9 ?10) [10, 9] by Demod 56 with 2 at 3
% 13.88/3.83 Id : 166, {_}: ?454 =<= join (complement (join (complement ?454) (complement ?454))) zero [454] by Super 57 with 14 at 2,3
% 13.88/3.83 Id : 170, {_}: ?454 =<= join zero (complement (join (complement ?454) (complement ?454))) [454] by Demod 166 with 2 at 3
% 13.88/3.83 Id : 171, {_}: ?454 =<= join zero (meet ?454 ?454) [454] by Demod 170 with 5 at 2,3
% 13.88/3.83 Id : 135, {_}: join (complement ?34) (composition (converse ?33) (complement (composition ?33 ?34))) =>= complement ?34 [33, 34] by Demod 12 with 2 at 2
% 13.88/3.83 Id : 719, {_}: converse (composition (converse ?1773) ?1774) =>= composition (converse ?1774) ?1773 [1774, 1773] by Super 130 with 9 at 2,3
% 13.88/3.83 Id : 724, {_}: converse (converse ?1791) =<= composition (converse one) ?1791 [1791] by Super 719 with 7 at 1,2
% 13.88/3.83 Id : 739, {_}: ?1791 =<= composition (converse one) ?1791 [1791] by Demod 724 with 9 at 2
% 13.88/3.83 Id : 746, {_}: one =<= converse one [] by Super 7 with 739 at 2
% 13.88/3.83 Id : 772, {_}: join (complement ?1842) (composition one (complement (composition one ?1842))) =>= complement ?1842 [1842] by Super 135 with 746 at 1,2,2
% 13.88/3.83 Id : 764, {_}: ?1791 =<= composition one ?1791 [1791] by Demod 739 with 746 at 1,3
% 13.88/3.83 Id : 780, {_}: join (complement ?1842) (complement (composition one ?1842)) =>= complement ?1842 [1842] by Demod 772 with 764 at 2,2
% 13.88/3.83 Id : 781, {_}: join (complement ?1842) (complement ?1842) =>= complement ?1842 [1842] by Demod 780 with 764 at 1,2,2
% 13.88/3.83 Id : 1481, {_}: meet ?3737 ?3737 =>= complement (complement ?3737) [3737] by Super 5 with 781 at 1,3
% 13.88/3.83 Id : 1554, {_}: ?454 =<= join zero (complement (complement ?454)) [454] by Demod 171 with 1481 at 2,3
% 13.88/3.83 Id : 26, {_}: join ?76 (join ?77 ?78) =?= join (join ?77 ?76) ?78 [78, 77, 76] by Super 25 with 2 at 1,3
% 13.88/3.83 Id : 1488, {_}: join (complement ?3757) (complement ?3757) =>= complement ?3757 [3757] by Demod 780 with 764 at 1,2,2
% 13.88/3.83 Id : 158, {_}: meet ?439 (complement ?439) =>= complement top [439] by Super 5 with 13 at 1,3
% 13.88/3.83 Id : 192, {_}: zero =<= complement top [] by Demod 158 with 14 at 2
% 13.88/3.83 Id : 1490, {_}: join (complement top) zero =>= complement top [] by Super 1488 with 192 at 2,2
% 13.88/3.83 Id : 1508, {_}: join zero (complement top) =>= complement top [] by Demod 1490 with 2 at 2
% 13.88/3.83 Id : 1509, {_}: join zero (complement top) =>= zero [] by Demod 1508 with 192 at 3
% 13.88/3.83 Id : 1510, {_}: join zero zero =>= zero [] by Demod 1509 with 192 at 2,2
% 13.88/3.83 Id : 1578, {_}: join zero (join zero ?3837) =>= join zero ?3837 [3837] by Super 26 with 1510 at 1,3
% 13.88/3.83 Id : 1590, {_}: join zero ?3859 =<= join zero (complement (complement ?3859)) [3859] by Super 1578 with 1554 at 2,2
% 13.88/3.83 Id : 1633, {_}: join zero ?3859 =>= ?3859 [3859] by Demod 1590 with 1554 at 3
% 13.88/3.83 Id : 1649, {_}: ?454 =<= complement (complement ?454) [454] by Demod 1554 with 1633 at 3
% 13.88/3.83 Id : 151, {_}: join ?421 (join (complement ?421) ?422) =>= join top ?422 [422, 421] by Super 3 with 13 at 1,3
% 13.88/3.83 Id : 51, {_}: join (complement ?174) (complement ?175) =<= join (complement ?174) (complement (join (complement (join (complement ?174) (complement ?175))) (join (complement ?174) ?175))) [175, 174] by Super 45 with 4 at 1,1,3
% 13.88/3.83 Id : 7248, {_}: join (complement ?174) (complement ?175) =<= join (complement ?174) (complement (join (meet ?174 ?175) (join (complement ?174) ?175))) [175, 174] by Demod 51 with 5 at 1,1,2,3
% 13.88/3.83 Id : 22, {_}: join ?60 (join ?61 ?62) =?= join ?61 (join ?62 ?60) [62, 61, 60] by Super 2 with 3 at 3
% 13.88/3.83 Id : 7267, {_}: join (complement ?9955) (complement ?9956) =<= join (complement ?9955) (complement (join (complement ?9955) (join ?9956 (meet ?9955 ?9956)))) [9956, 9955] by Demod 7248 with 22 at 1,2,3
% 13.88/3.83 Id : 1666, {_}: top =<= complement zero [] by Super 13 with 1633 at 3
% 13.88/3.83 Id : 1709, {_}: meet ?3940 zero =<= complement (join (complement ?3940) top) [3940] by Super 5 with 1666 at 2,1,3
% 13.88/3.83 Id : 1718, {_}: meet ?3940 zero =<= complement (join top (complement ?3940)) [3940] by Demod 1709 with 2 at 1,3
% 13.88/3.83 Id : 1710, {_}: meet zero ?3942 =<= complement (join top (complement ?3942)) [3942] by Super 5 with 1666 at 1,1,3
% 13.88/3.83 Id : 2222, {_}: join top (complement ?5299) =>= complement (meet zero ?5299) [5299] by Super 1649 with 1710 at 1,3
% 13.88/3.83 Id : 2327, {_}: meet ?3940 zero =<= complement (complement (meet zero ?3940)) [3940] by Demod 1718 with 2222 at 1,3
% 13.88/3.83 Id : 2328, {_}: meet ?3940 zero =?= meet zero ?3940 [3940] by Demod 2327 with 1649 at 3
% 13.88/3.83 Id : 7278, {_}: join (complement zero) (complement ?9975) =<= join (complement zero) (complement (join (complement zero) (join ?9975 (meet ?9975 zero)))) [9975] by Super 7267 with 2328 at 2,2,1,2,3
% 13.88/3.83 Id : 7408, {_}: join top (complement ?9975) =<= join (complement zero) (complement (join (complement zero) (join ?9975 (meet ?9975 zero)))) [9975] by Demod 7278 with 1666 at 1,2
% 13.88/3.83 Id : 7409, {_}: join top (complement ?9975) =<= join top (complement (join (complement zero) (join ?9975 (meet ?9975 zero)))) [9975] by Demod 7408 with 1666 at 1,3
% 13.88/3.83 Id : 7410, {_}: join top (complement ?9975) =<= join top (complement (join top (join ?9975 (meet ?9975 zero)))) [9975] by Demod 7409 with 1666 at 1,1,2,3
% 13.88/3.83 Id : 1663, {_}: join ?3880 zero =>= ?3880 [3880] by Super 2 with 1633 at 3
% 13.88/3.83 Id : 1747, {_}: ?3999 =<= join (complement (complement ?3999)) (meet ?3999 zero) [3999] by Super 57 with 1663 at 1,1,3
% 13.88/3.83 Id : 1797, {_}: ?3999 =<= join ?3999 (meet ?3999 zero) [3999] by Demod 1747 with 1649 at 1,3
% 13.88/3.83 Id : 7411, {_}: join top (complement ?9975) =<= join top (complement (join top ?9975)) [9975] by Demod 7410 with 1797 at 2,1,2,3
% 13.88/3.83 Id : 7412, {_}: complement (meet zero ?9975) =<= join top (complement (join top ?9975)) [9975] by Demod 7411 with 2222 at 2
% 13.88/3.83 Id : 8213, {_}: complement (meet zero ?10550) =<= complement (meet zero (join top ?10550)) [10550] by Demod 7412 with 2222 at 3
% 13.88/3.83 Id : 8217, {_}: complement (meet zero (complement ?10558)) =<= complement (meet zero (complement (meet zero ?10558))) [10558] by Super 8213 with 2222 at 2,1,3
% 13.88/3.83 Id : 2233, {_}: meet zero ?5325 =<= complement (join top (complement ?5325)) [5325] by Super 5 with 1666 at 1,1,3
% 13.88/3.83 Id : 2236, {_}: meet zero (complement ?5331) =>= complement (join top ?5331) [5331] by Super 2233 with 1649 at 2,1,3
% 13.88/3.83 Id : 8256, {_}: complement (complement (join top ?10558)) =<= complement (meet zero (complement (meet zero ?10558))) [10558] by Demod 8217 with 2236 at 1,2
% 13.88/3.83 Id : 8257, {_}: complement (complement (join top ?10558)) =<= complement (complement (join top (meet zero ?10558))) [10558] by Demod 8256 with 2236 at 1,3
% 13.88/3.83 Id : 8258, {_}: join top ?10558 =<= complement (complement (join top (meet zero ?10558))) [10558] by Demod 8257 with 1649 at 2
% 13.88/3.83 Id : 8259, {_}: join top ?10558 =<= join top (meet zero ?10558) [10558] by Demod 8258 with 1649 at 3
% 13.88/3.83 Id : 7413, {_}: complement (meet zero ?9975) =<= complement (meet zero (join top ?9975)) [9975] by Demod 7412 with 2222 at 3
% 13.88/3.83 Id : 8206, {_}: meet zero (join top ?10531) =>= complement (complement (meet zero ?10531)) [10531] by Super 1649 with 7413 at 1,3
% 13.88/3.83 Id : 8244, {_}: meet zero (join top ?10531) =>= meet zero ?10531 [10531] by Demod 8206 with 1649 at 3
% 13.88/3.83 Id : 8401, {_}: join top ?10690 =<= join top (meet zero ?10690) [10690] by Demod 8258 with 1649 at 3
% 13.88/3.83 Id : 8407, {_}: join top (join top ?10698) =>= join top (meet zero ?10698) [10698] by Super 8401 with 8244 at 2,3
% 13.88/3.83 Id : 8621, {_}: join top (join top ?10846) =>= join top ?10846 [10846] by Demod 8407 with 8259 at 3
% 13.88/3.83 Id : 8622, {_}: join top (join ?10848 top) =>= join top ?10848 [10848] by Super 8621 with 2 at 2,2
% 13.88/3.83 Id : 9502, {_}: meet zero (join top ?11459) =?= meet zero (join ?11459 top) [11459] by Super 8244 with 8622 at 2,2
% 13.88/3.83 Id : 9531, {_}: meet zero ?11459 =<= meet zero (join ?11459 top) [11459] by Demod 9502 with 8244 at 2
% 13.88/3.83 Id : 46, {_}: ?159 =<= join (complement (join (complement ?159) (complement ?160))) (complement (join ?160 (complement ?159))) [160, 159] by Super 45 with 2 at 1,2,3
% 13.88/3.83 Id : 3990, {_}: ?159 =<= join (meet ?159 ?160) (complement (join ?160 (complement ?159))) [160, 159] by Demod 46 with 5 at 1,3
% 13.88/3.83 Id : 4005, {_}: ?7151 =<= join (complement (join ?7152 (complement ?7151))) (meet ?7151 ?7152) [7152, 7151] by Demod 3990 with 2 at 3
% 13.88/3.83 Id : 155, {_}: join (complement ?433) ?433 =>= top [433] by Super 2 with 13 at 3
% 13.88/3.83 Id : 177, {_}: meet (complement ?465) ?465 =>= complement top [465] by Super 5 with 155 at 1,3
% 13.88/3.83 Id : 285, {_}: meet (complement ?465) ?465 =>= zero [465] by Demod 177 with 192 at 3
% 13.88/3.83 Id : 4007, {_}: complement ?7155 =<= join (complement (join ?7155 (complement (complement ?7155)))) zero [7155] by Super 4005 with 285 at 2,3
% 13.88/3.83 Id : 4053, {_}: complement ?7155 =<= join zero (complement (join ?7155 (complement (complement ?7155)))) [7155] by Demod 4007 with 2 at 3
% 13.88/3.83 Id : 4054, {_}: complement ?7155 =<= complement (join ?7155 (complement (complement ?7155))) [7155] by Demod 4053 with 1633 at 3
% 13.88/3.83 Id : 4055, {_}: complement ?7155 =<= complement (join ?7155 ?7155) [7155] by Demod 4054 with 1649 at 2,1,3
% 13.88/3.83 Id : 4112, {_}: join ?7252 ?7252 =>= complement (complement ?7252) [7252] by Super 1649 with 4055 at 1,3
% 13.88/3.83 Id : 4171, {_}: join ?7252 ?7252 =>= ?7252 [7252] by Demod 4112 with 1649 at 3
% 13.88/3.83 Id : 32592, {_}: join ?25391 (join ?25391 ?25392) =>= join ?25391 ?25392 [25392, 25391] by Super 26 with 4171 at 1,3
% 13.88/3.83 Id : 32666, {_}: join ?25565 top =<= join ?25565 (complement ?25565) [25565] by Super 32592 with 13 at 2,2
% 13.88/3.83 Id : 32914, {_}: join ?25565 top =>= top [25565] by Demod 32666 with 13 at 3
% 13.88/3.83 Id : 33047, {_}: meet zero ?11459 =?= meet zero top [11459] by Demod 9531 with 32914 at 2,3
% 13.88/3.83 Id : 196, {_}: meet ?490 top =<= complement (join (complement ?490) zero) [490] by Super 5 with 192 at 2,1,3
% 13.88/3.83 Id : 203, {_}: meet ?490 top =<= complement (join zero (complement ?490)) [490] by Demod 196 with 2 at 1,3
% 13.88/3.83 Id : 197, {_}: meet top ?492 =<= complement (join zero (complement ?492)) [492] by Super 5 with 192 at 1,1,3
% 13.88/3.83 Id : 409, {_}: meet ?490 top =?= meet top ?490 [490] by Demod 203 with 197 at 3
% 13.88/3.83 Id : 1646, {_}: meet top ?492 =>= complement (complement ?492) [492] by Demod 197 with 1633 at 1,3
% 13.88/3.83 Id : 1651, {_}: meet top ?492 =>= ?492 [492] by Demod 1646 with 1649 at 3
% 13.88/3.83 Id : 1653, {_}: meet ?490 top =>= ?490 [490] by Demod 409 with 1651 at 3
% 13.88/3.83 Id : 33108, {_}: meet zero ?11459 =>= zero [11459] by Demod 33047 with 1653 at 3
% 13.88/3.83 Id : 33144, {_}: join top ?10558 =?= join top zero [10558] by Demod 8259 with 33108 at 2,3
% 13.88/3.83 Id : 33225, {_}: join top ?10558 =>= join zero top [10558] by Demod 33144 with 2 at 3
% 13.88/3.83 Id : 33226, {_}: join top ?10558 =>= top [10558] by Demod 33225 with 1633 at 3
% 13.88/3.83 Id : 42854, {_}: join ?421 (join (complement ?421) ?422) =>= top [422, 421] by Demod 151 with 33226 at 3
% 13.88/3.83 Id : 118, {_}: converse (join ?347 (converse ?348)) =>= join (converse ?347) ?348 [348, 347] by Super 117 with 9 at 2,3
% 13.88/3.83 Id : 33694, {_}: join ?26166 (join ?26167 ?26166) =>= join ?26167 ?26166 [26167, 26166] by Super 22 with 4171 at 2,3
% 13.88/3.83 Id : 49, {_}: ?168 =<= join (complement (join (complement ?169) (complement ?168))) (complement (join (complement ?168) ?169)) [169, 168] by Super 45 with 2 at 1,1,3
% 13.88/3.83 Id : 5271, {_}: ?168 =<= join (meet ?169 ?168) (complement (join (complement ?168) ?169)) [169, 168] by Demod 49 with 5 at 1,3
% 13.88/3.83 Id : 5272, {_}: ?168 =<= join (complement (join (complement ?168) ?169)) (meet ?169 ?168) [169, 168] by Demod 5271 with 2 at 3
% 13.88/3.83 Id : 13308, {_}: join (complement ?13845) (complement ?13846) =<= join (complement (join (meet ?13845 ?13846) ?13847)) (meet (join (complement ?13845) (complement ?13846)) ?13847) [13847, 13846, 13845] by Super 57 with 5 at 1,1,1,3
% 13.88/3.83 Id : 13327, {_}: join (complement ?13911) (complement ?13912) =<= join (complement (join (meet ?13911 ?13912) (complement (join (complement ?13911) (complement ?13912))))) zero [13912, 13911] by Super 13308 with 14 at 2,3
% 13.88/3.83 Id : 13434, {_}: join (complement ?13911) (complement ?13912) =<= join zero (complement (join (meet ?13911 ?13912) (complement (join (complement ?13911) (complement ?13912))))) [13912, 13911] by Demod 13327 with 2 at 3
% 13.88/3.83 Id : 13435, {_}: join (complement ?13911) (complement ?13912) =<= complement (join (meet ?13911 ?13912) (complement (join (complement ?13911) (complement ?13912)))) [13912, 13911] by Demod 13434 with 1633 at 3
% 13.88/3.83 Id : 13436, {_}: join (complement ?13911) (complement ?13912) =<= complement (join (complement (join (complement ?13911) (complement ?13912))) (meet ?13911 ?13912)) [13912, 13911] by Demod 13435 with 2 at 1,3
% 13.88/3.83 Id : 13437, {_}: join (complement ?13911) (complement ?13912) =<= complement (join (meet ?13911 ?13912) (meet ?13911 ?13912)) [13912, 13911] by Demod 13436 with 5 at 1,1,3
% 13.88/3.83 Id : 14187, {_}: join (complement ?14395) (complement ?14396) =>= complement (meet ?14395 ?14396) [14396, 14395] by Demod 13437 with 4171 at 1,3
% 13.88/3.83 Id : 14189, {_}: join (complement ?14400) ?14401 =<= complement (meet ?14400 (complement ?14401)) [14401, 14400] by Super 14187 with 1649 at 2,2
% 13.88/3.83 Id : 15883, {_}: meet ?15242 (complement ?15243) =<= complement (join (complement ?15242) ?15243) [15243, 15242] by Super 1649 with 14189 at 1,3
% 13.88/3.83 Id : 17593, {_}: ?168 =<= join (meet ?168 (complement ?169)) (meet ?169 ?168) [169, 168] by Demod 5272 with 15883 at 1,3
% 13.88/3.83 Id : 33751, {_}: join (meet ?26324 ?26325) ?26325 =<= join (meet ?26325 (complement ?26324)) (meet ?26324 ?26325) [26325, 26324] by Super 33694 with 17593 at 2,2
% 13.88/3.83 Id : 33916, {_}: join (meet ?26324 ?26325) ?26325 =>= ?26325 [26325, 26324] by Demod 33751 with 17593 at 3
% 13.88/3.83 Id : 3991, {_}: ?159 =<= join (complement (join ?160 (complement ?159))) (meet ?159 ?160) [160, 159] by Demod 3990 with 2 at 3
% 13.88/3.83 Id : 14193, {_}: join ?14411 (complement ?14412) =<= complement (meet (complement ?14411) ?14412) [14412, 14411] by Super 14187 with 1649 at 1,2
% 13.88/3.83 Id : 15967, {_}: meet (complement ?15328) ?15329 =<= complement (join ?15328 (complement ?15329)) [15329, 15328] by Super 1649 with 14193 at 1,3
% 13.88/3.83 Id : 17686, {_}: ?159 =<= join (meet (complement ?160) ?159) (meet ?159 ?160) [160, 159] by Demod 3991 with 15967 at 1,3
% 13.88/3.83 Id : 119, {_}: converse (join (converse ?350) ?351) =>= join ?350 (converse ?351) [351, 350] by Super 117 with 9 at 1,3
% 13.88/3.83 Id : 172, {_}: sk1 =<= join (complement (join (complement sk1) (converse sk2))) zero [] by Super 57 with 15 at 2,3
% 13.88/3.83 Id : 175, {_}: sk1 =<= join zero (complement (join (complement sk1) (converse sk2))) [] by Demod 172 with 2 at 3
% 13.88/3.83 Id : 176, {_}: sk1 =<= join zero (complement (join (converse sk2) (complement sk1))) [] by Demod 175 with 2 at 1,2,3
% 13.88/3.83 Id : 3451, {_}: sk1 =<= complement (join (converse sk2) (complement sk1)) [] by Demod 176 with 1633 at 3
% 13.88/3.83 Id : 3454, {_}: join (converse sk2) (complement sk1) =>= complement sk1 [] by Super 1649 with 3451 at 1,3
% 13.88/3.83 Id : 3508, {_}: converse (complement sk1) =<= join sk2 (converse (complement sk1)) [] by Super 119 with 3454 at 1,2
% 13.88/3.83 Id : 3524, {_}: join (converse (complement sk1)) (join sk2 ?6716) =>= join (converse (complement sk1)) ?6716 [6716] by Super 26 with 3508 at 1,3
% 13.88/3.83 Id : 3545, {_}: join sk2 (join ?6716 (converse (complement sk1))) =>= join (converse (complement sk1)) ?6716 [6716] by Demod 3524 with 22 at 2
% 13.88/3.83 Id : 42866, {_}: top =<= join (converse (complement sk1)) (complement sk2) [] by Super 3545 with 42854 at 2
% 13.88/3.83 Id : 43177, {_}: converse top =<= join (complement sk1) (converse (complement sk2)) [] by Super 119 with 42866 at 1,2
% 13.88/3.83 Id : 3455, {_}: join (complement (join (converse sk2) (complement sk1))) sk1 =>= complement (join (converse sk2) (complement sk1)) [] by Super 781 with 3451 at 2,2
% 13.88/3.83 Id : 3472, {_}: join sk1 (complement (join (converse sk2) (complement sk1))) =>= complement (join (converse sk2) (complement sk1)) [] by Demod 3455 with 2 at 2
% 13.88/3.83 Id : 3473, {_}: join sk1 (complement (join (converse sk2) (complement sk1))) =>= sk1 [] by Demod 3472 with 3451 at 3
% 13.88/3.83 Id : 3474, {_}: join sk1 sk1 =>= sk1 [] by Demod 3473 with 3451 at 2,2
% 13.88/3.83 Id : 3561, {_}: join sk1 (join sk1 ?6775) =>= join sk1 ?6775 [6775] by Super 26 with 3474 at 1,3
% 13.88/3.83 Id : 3568, {_}: join sk1 top =<= join sk1 (complement sk1) [] by Super 3561 with 13 at 2,2
% 13.88/3.83 Id : 3610, {_}: join sk1 top =>= top [] by Demod 3568 with 13 at 3
% 13.88/3.83 Id : 3617, {_}: join top (join sk1 ?6803) =>= join top ?6803 [6803] by Super 26 with 3610 at 1,3
% 13.88/3.83 Id : 3636, {_}: join sk1 (join ?6803 top) =>= join top ?6803 [6803] by Demod 3617 with 22 at 2
% 13.88/3.83 Id : 653, {_}: converse (join ?1633 (converse ?1634)) =>= join (converse ?1633) ?1634 [1634, 1633] by Super 117 with 9 at 2,3
% 13.88/3.83 Id : 658, {_}: converse top =<= join (converse (complement (converse ?1650))) ?1650 [1650] by Super 653 with 155 at 1,2
% 13.88/3.83 Id : 4390, {_}: join sk1 (converse top) =<= join top (converse (complement (converse top))) [] by Super 3636 with 658 at 2,2
% 13.88/3.83 Id : 4466, {_}: converse (join sk1 (converse top)) =<= join (converse top) (complement (converse top)) [] by Super 118 with 4390 at 1,2
% 13.88/3.83 Id : 4491, {_}: join (converse sk1) top =<= join (converse top) (complement (converse top)) [] by Demod 4466 with 118 at 2
% 13.88/3.83 Id : 4492, {_}: join (converse sk1) top =>= top [] by Demod 4491 with 13 at 3
% 13.88/3.83 Id : 4493, {_}: join top (converse sk1) =>= top [] by Demod 4492 with 2 at 2
% 13.88/3.83 Id : 4507, {_}: converse top =<= join (converse top) sk1 [] by Super 118 with 4493 at 1,2
% 13.88/3.83 Id : 4515, {_}: converse top =<= join sk1 (converse top) [] by Demod 4507 with 2 at 3
% 13.88/3.83 Id : 4993, {_}: join sk1 (join (converse top) ?8132) =>= join (converse top) ?8132 [8132] by Super 3 with 4515 at 1,3
% 13.88/3.83 Id : 4999, {_}: join sk1 (converse (join top ?8143)) =>= join (converse top) (converse ?8143) [8143] by Super 4993 with 10 at 2,2
% 13.88/3.83 Id : 5048, {_}: join sk1 (converse (join top ?8143)) =>= converse (join top ?8143) [8143] by Demod 4999 with 10 at 3
% 13.88/3.83 Id : 680, {_}: converse (join (converse ?1703) ?1704) =>= join ?1703 (converse ?1704) [1704, 1703] by Super 117 with 9 at 1,3
% 13.88/3.83 Id : 688, {_}: converse top =<= join ?1730 (converse (complement (converse ?1730))) [1730] by Super 680 with 13 at 1,2
% 13.88/3.83 Id : 8637, {_}: join top (converse top) =<= join top (converse (complement (converse top))) [] by Super 8621 with 688 at 2,2
% 13.88/3.83 Id : 8714, {_}: join top (converse top) =>= converse top [] by Demod 8637 with 688 at 3
% 13.88/3.83 Id : 8752, {_}: join sk1 (converse (converse top)) =>= converse (join top (converse top)) [] by Super 5048 with 8714 at 1,2,2
% 13.88/3.83 Id : 8762, {_}: join sk1 top =<= converse (join top (converse top)) [] by Demod 8752 with 9 at 2,2
% 13.88/3.83 Id : 8763, {_}: join sk1 top =<= join (converse top) top [] by Demod 8762 with 118 at 3
% 13.88/3.83 Id : 8764, {_}: top =<= join (converse top) top [] by Demod 8763 with 3610 at 2
% 13.88/3.83 Id : 8765, {_}: top =<= join top (converse top) [] by Demod 8764 with 2 at 3
% 13.88/3.83 Id : 8766, {_}: top =<= converse top [] by Demod 8765 with 8714 at 3
% 13.88/3.83 Id : 43198, {_}: top =<= join (complement sk1) (converse (complement sk2)) [] by Demod 43177 with 8766 at 2
% 13.88/3.83 Id : 43199, {_}: top =<= join (converse (complement sk2)) (complement sk1) [] by Demod 43198 with 2 at 3
% 13.88/3.83 Id : 43355, {_}: meet (complement (converse (complement sk2))) sk1 =>= complement top [] by Super 15967 with 43199 at 1,3
% 13.88/3.83 Id : 43411, {_}: meet sk1 (complement (converse (complement sk2))) =>= complement top [] by Demod 43355 with 67 at 2
% 13.88/3.83 Id : 43412, {_}: meet sk1 (complement (converse (complement sk2))) =>= zero [] by Demod 43411 with 192 at 3
% 13.88/3.83 Id : 43439, {_}: sk1 =<= join (meet (complement (complement (converse (complement sk2)))) sk1) zero [] by Super 17686 with 43412 at 2,3
% 13.88/3.83 Id : 43477, {_}: sk1 =<= join zero (meet (complement (complement (converse (complement sk2)))) sk1) [] by Demod 43439 with 2 at 3
% 13.88/3.83 Id : 43478, {_}: sk1 =<= meet (complement (complement (converse (complement sk2)))) sk1 [] by Demod 43477 with 1633 at 3
% 13.88/3.83 Id : 43479, {_}: sk1 =<= meet sk1 (complement (complement (converse (complement sk2)))) [] by Demod 43478 with 67 at 3
% 13.88/3.83 Id : 43480, {_}: sk1 =<= meet sk1 (converse (complement sk2)) [] by Demod 43479 with 1649 at 2,3
% 13.88/3.83 Id : 43548, {_}: join sk1 (converse (complement sk2)) =>= converse (complement sk2) [] by Super 33916 with 43480 at 1,2
% 13.88/3.83 Id : 43595, {_}: converse (converse (complement sk2)) =<= join (converse sk1) (complement sk2) [] by Super 118 with 43548 at 1,2
% 13.88/3.83 Id : 43620, {_}: complement sk2 =<= join (converse sk1) (complement sk2) [] by Demod 43595 with 9 at 2
% 13.88/3.83 Id : 43778, {_}: join (complement sk2) (join (converse sk1) ?34222) =>= join (complement sk2) ?34222 [34222] by Super 26 with 43620 at 1,3
% 13.88/3.83 Id : 43796, {_}: join (converse sk1) (join ?34222 (complement sk2)) =>= join (complement sk2) ?34222 [34222] by Demod 43778 with 22 at 2
% 13.88/3.83 Id : 44656, {_}: join (complement sk2) (complement (converse sk1)) =>= top [] by Super 42854 with 43796 at 2
% 13.88/3.83 Id : 13438, {_}: join (complement ?13911) (complement ?13912) =>= complement (meet ?13911 ?13912) [13912, 13911] by Demod 13437 with 4171 at 1,3
% 13.88/3.83 Id : 44688, {_}: complement (meet sk2 (converse sk1)) =>= top [] by Demod 44656 with 13438 at 2
% 13.88/3.83 Id : 44831, {_}: meet sk2 (converse sk1) =>= complement top [] by Super 1649 with 44688 at 1,3
% 13.88/3.83 Id : 44852, {_}: meet sk2 (converse sk1) =>= zero [] by Demod 44831 with 192 at 3
% 13.88/3.83 Id : 44951, {_}: zero === zero [] by Demod 44950 with 44852 at 2
% 13.88/3.83 Id : 44950, {_}: meet sk2 (converse sk1) =>= zero [] by Demod 1 with 67 at 2
% 13.88/3.83 Id : 1, {_}: meet (converse sk1) sk2 =>= zero [] by goals_15
% 13.88/3.83 % SZS output end CNFRefutation for theBenchmark.p
% 13.88/3.83 7578: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 3.494273 using nrkbo
%------------------------------------------------------------------------------