TSTP Solution File: REL006-1 by Matita---1.0
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%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : REL006-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n028.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 19:41:53 EDT 2022
% Result : Unsatisfiable 14.91s 4.12s
% Output : CNFRefutation 14.91s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : REL006-1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.14 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.15/0.35 % Computer : n028.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Fri Jul 8 10:05:54 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.15/0.36 8998: Facts:
% 0.15/0.36 8998: Id : 2, {_}:
% 0.15/0.36 join ?2 ?3 =?= join ?3 ?2
% 0.15/0.36 [3, 2] by maddux1_join_commutativity_1 ?2 ?3
% 0.15/0.36 8998: Id : 3, {_}:
% 0.15/0.36 join ?5 (join ?6 ?7) =?= join (join ?5 ?6) ?7
% 0.15/0.36 [7, 6, 5] by maddux2_join_associativity_2 ?5 ?6 ?7
% 0.15/0.36 8998: Id : 4, {_}:
% 0.15/0.36 ?9
% 0.15/0.36 =<=
% 0.15/0.36 join (complement (join (complement ?9) (complement ?10)))
% 0.15/0.36 (complement (join (complement ?9) ?10))
% 0.15/0.36 [10, 9] by maddux3_a_kind_of_de_Morgan_3 ?9 ?10
% 0.15/0.36 8998: Id : 5, {_}:
% 0.15/0.36 meet ?12 ?13 =<= complement (join (complement ?12) (complement ?13))
% 0.15/0.36 [13, 12] by maddux4_definiton_of_meet_4 ?12 ?13
% 0.15/0.36 8998: Id : 6, {_}:
% 0.15/0.36 composition ?15 (composition ?16 ?17)
% 0.15/0.36 =?=
% 0.15/0.36 composition (composition ?15 ?16) ?17
% 0.15/0.36 [17, 16, 15] by composition_associativity_5 ?15 ?16 ?17
% 0.15/0.36 8998: Id : 7, {_}: composition ?19 one =>= ?19 [19] by composition_identity_6 ?19
% 0.15/0.36 8998: Id : 8, {_}:
% 0.15/0.36 composition (join ?21 ?22) ?23
% 0.15/0.36 =<=
% 0.15/0.36 join (composition ?21 ?23) (composition ?22 ?23)
% 0.15/0.36 [23, 22, 21] by composition_distributivity_7 ?21 ?22 ?23
% 0.15/0.36 8998: Id : 9, {_}:
% 0.15/0.36 converse (converse ?25) =>= ?25
% 0.15/0.36 [25] by converse_idempotence_8 ?25
% 0.15/0.36 8998: Id : 10, {_}:
% 0.15/0.36 converse (join ?27 ?28) =<= join (converse ?27) (converse ?28)
% 0.15/0.36 [28, 27] by converse_additivity_9 ?27 ?28
% 0.15/0.36 8998: Id : 11, {_}:
% 0.15/0.36 converse (composition ?30 ?31)
% 0.15/0.36 =<=
% 0.15/0.36 composition (converse ?31) (converse ?30)
% 0.15/0.36 [31, 30] by converse_multiplicativity_10 ?30 ?31
% 0.15/0.36 8998: Id : 12, {_}:
% 0.15/0.36 join (composition (converse ?33) (complement (composition ?33 ?34)))
% 0.15/0.36 (complement ?34)
% 0.15/0.36 =>=
% 0.15/0.36 complement ?34
% 0.15/0.36 [34, 33] by converse_cancellativity_11 ?33 ?34
% 0.15/0.36 8998: Id : 13, {_}: top =<= join ?36 (complement ?36) [36] by def_top_12 ?36
% 0.15/0.36 8998: Id : 14, {_}: zero =<= meet ?38 (complement ?38) [38] by def_zero_13 ?38
% 0.15/0.36 8998: Id : 15, {_}: meet (converse sk1) sk2 =>= zero [] by goals_14
% 0.15/0.36 8998: Goal:
% 0.15/0.36 8998: Id : 1, {_}: meet sk1 (converse sk2) =>= zero [] by goals_15
% 14.91/4.12 Statistics :
% 14.91/4.12 Max weight : 20
% 14.91/4.12 Found proof, 3.759564s
% 14.91/4.12 % SZS status Unsatisfiable for theBenchmark.p
% 14.91/4.12 % SZS output start CNFRefutation for theBenchmark.p
% 14.91/4.12 Id : 60, {_}: meet ?192 ?193 =<= complement (join (complement ?192) (complement ?193)) [193, 192] by maddux4_definiton_of_meet_4 ?192 ?193
% 14.91/4.12 Id : 15, {_}: meet (converse sk1) sk2 =>= zero [] by goals_14
% 14.91/4.12 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
% 14.91/4.12 Id : 12, {_}: join (composition (converse ?33) (complement (composition ?33 ?34))) (complement ?34) =>= complement ?34 [34, 33] by converse_cancellativity_11 ?33 ?34
% 14.91/4.12 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
% 14.91/4.12 Id : 130, {_}: converse (composition ?374 ?375) =<= composition (converse ?375) (converse ?374) [375, 374] by converse_multiplicativity_10 ?374 ?375
% 14.91/4.12 Id : 7, {_}: composition ?19 one =>= ?19 [19] by composition_identity_6 ?19
% 14.91/4.12 Id : 9, {_}: converse (converse ?25) =>= ?25 [25] by converse_idempotence_8 ?25
% 14.91/4.12 Id : 117, {_}: converse (join ?344 ?345) =<= join (converse ?344) (converse ?345) [345, 344] by converse_additivity_9 ?344 ?345
% 14.91/4.12 Id : 25, {_}: join ?72 (join ?73 ?74) =?= join (join ?72 ?73) ?74 [74, 73, 72] by maddux2_join_associativity_2 ?72 ?73 ?74
% 14.91/4.12 Id : 3, {_}: join ?5 (join ?6 ?7) =?= join (join ?5 ?6) ?7 [7, 6, 5] by maddux2_join_associativity_2 ?5 ?6 ?7
% 14.91/4.12 Id : 14, {_}: zero =<= meet ?38 (complement ?38) [38] by def_zero_13 ?38
% 14.91/4.12 Id : 13, {_}: top =<= join ?36 (complement ?36) [36] by def_top_12 ?36
% 14.91/4.12 Id : 2, {_}: join ?2 ?3 =?= join ?3 ?2 [3, 2] by maddux1_join_commutativity_1 ?2 ?3
% 14.91/4.12 Id : 5, {_}: meet ?12 ?13 =<= complement (join (complement ?12) (complement ?13)) [13, 12] by maddux4_definiton_of_meet_4 ?12 ?13
% 14.91/4.12 Id : 155, {_}: join (complement ?433) ?433 =>= top [433] by Super 2 with 13 at 3
% 14.91/4.12 Id : 177, {_}: meet (complement ?465) ?465 =>= complement top [465] by Super 5 with 155 at 1,3
% 14.91/4.12 Id : 158, {_}: meet ?439 (complement ?439) =>= complement top [439] by Super 5 with 13 at 1,3
% 14.91/4.12 Id : 192, {_}: zero =<= complement top [] by Demod 158 with 14 at 2
% 14.91/4.12 Id : 285, {_}: meet (complement ?465) ?465 =>= zero [465] by Demod 177 with 192 at 3
% 14.91/4.12 Id : 151, {_}: join ?421 (join (complement ?421) ?422) =>= join top ?422 [422, 421] by Super 3 with 13 at 1,3
% 14.91/4.12 Id : 26, {_}: join ?76 (join ?77 ?78) =?= join (join ?77 ?76) ?78 [78, 77, 76] by Super 25 with 2 at 1,3
% 14.91/4.12 Id : 119, {_}: converse (join (converse ?350) ?351) =>= join ?350 (converse ?351) [351, 350] by Super 117 with 9 at 1,3
% 14.91/4.12 Id : 719, {_}: converse (composition (converse ?1773) ?1774) =>= composition (converse ?1774) ?1773 [1774, 1773] by Super 130 with 9 at 2,3
% 14.91/4.12 Id : 724, {_}: converse (converse ?1791) =<= composition (converse one) ?1791 [1791] by Super 719 with 7 at 1,2
% 14.91/4.12 Id : 739, {_}: ?1791 =<= composition (converse one) ?1791 [1791] by Demod 724 with 9 at 2
% 14.91/4.12 Id : 746, {_}: one =<= converse one [] by Super 7 with 739 at 2
% 14.91/4.12 Id : 766, {_}: converse (join one ?1831) =<= join one (converse ?1831) [1831] by Super 119 with 746 at 1,1,2
% 14.91/4.12 Id : 20258, {_}: join one (join (converse ?18058) ?18059) =<= join (converse (join one ?18058)) ?18059 [18059, 18058] by Super 3 with 766 at 1,3
% 14.91/4.12 Id : 56, {_}: ?9 =<= join (meet ?9 ?10) (complement (join (complement ?9) ?10)) [10, 9] by Demod 4 with 5 at 1,3
% 14.91/4.12 Id : 57, {_}: ?9 =<= join (complement (join (complement ?9) ?10)) (meet ?9 ?10) [10, 9] by Demod 56 with 2 at 3
% 14.91/4.12 Id : 166, {_}: ?454 =<= join (complement (join (complement ?454) (complement ?454))) zero [454] by Super 57 with 14 at 2,3
% 14.91/4.12 Id : 170, {_}: ?454 =<= join zero (complement (join (complement ?454) (complement ?454))) [454] by Demod 166 with 2 at 3
% 14.91/4.12 Id : 171, {_}: ?454 =<= join zero (meet ?454 ?454) [454] by Demod 170 with 5 at 2,3
% 14.91/4.12 Id : 135, {_}: join (complement ?34) (composition (converse ?33) (complement (composition ?33 ?34))) =>= complement ?34 [33, 34] by Demod 12 with 2 at 2
% 14.91/4.12 Id : 772, {_}: join (complement ?1842) (composition one (complement (composition one ?1842))) =>= complement ?1842 [1842] by Super 135 with 746 at 1,2,2
% 14.91/4.12 Id : 764, {_}: ?1791 =<= composition one ?1791 [1791] by Demod 739 with 746 at 1,3
% 14.91/4.12 Id : 780, {_}: join (complement ?1842) (complement (composition one ?1842)) =>= complement ?1842 [1842] by Demod 772 with 764 at 2,2
% 14.91/4.12 Id : 781, {_}: join (complement ?1842) (complement ?1842) =>= complement ?1842 [1842] by Demod 780 with 764 at 1,2,2
% 14.91/4.12 Id : 1481, {_}: meet ?3737 ?3737 =>= complement (complement ?3737) [3737] by Super 5 with 781 at 1,3
% 14.91/4.12 Id : 1554, {_}: ?454 =<= join zero (complement (complement ?454)) [454] by Demod 171 with 1481 at 2,3
% 14.91/4.12 Id : 1488, {_}: join (complement ?3757) (complement ?3757) =>= complement ?3757 [3757] by Demod 780 with 764 at 1,2,2
% 14.91/4.12 Id : 1490, {_}: join (complement top) zero =>= complement top [] by Super 1488 with 192 at 2,2
% 14.91/4.12 Id : 1508, {_}: join zero (complement top) =>= complement top [] by Demod 1490 with 2 at 2
% 14.91/4.12 Id : 1509, {_}: join zero (complement top) =>= zero [] by Demod 1508 with 192 at 3
% 14.91/4.12 Id : 1510, {_}: join zero zero =>= zero [] by Demod 1509 with 192 at 2,2
% 14.91/4.12 Id : 1578, {_}: join zero (join zero ?3837) =>= join zero ?3837 [3837] by Super 26 with 1510 at 1,3
% 14.91/4.12 Id : 1590, {_}: join zero ?3859 =<= join zero (complement (complement ?3859)) [3859] by Super 1578 with 1554 at 2,2
% 14.91/4.12 Id : 1633, {_}: join zero ?3859 =>= ?3859 [3859] by Demod 1590 with 1554 at 3
% 14.91/4.12 Id : 1649, {_}: ?454 =<= complement (complement ?454) [454] by Demod 1554 with 1633 at 3
% 14.91/4.12 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
% 14.91/4.12 Id : 3968, {_}: ?159 =<= join (meet ?159 ?160) (complement (join ?160 (complement ?159))) [160, 159] by Demod 46 with 5 at 1,3
% 14.91/4.12 Id : 3983, {_}: ?7128 =<= join (complement (join ?7129 (complement ?7128))) (meet ?7128 ?7129) [7129, 7128] by Demod 3968 with 2 at 3
% 14.91/4.12 Id : 3985, {_}: complement ?7132 =<= join (complement (join ?7132 (complement (complement ?7132)))) zero [7132] by Super 3983 with 285 at 2,3
% 14.91/4.12 Id : 4030, {_}: complement ?7132 =<= join zero (complement (join ?7132 (complement (complement ?7132)))) [7132] by Demod 3985 with 2 at 3
% 14.91/4.12 Id : 4031, {_}: complement ?7132 =<= complement (join ?7132 (complement (complement ?7132))) [7132] by Demod 4030 with 1633 at 3
% 14.91/4.12 Id : 4032, {_}: complement ?7132 =<= complement (join ?7132 ?7132) [7132] by Demod 4031 with 1649 at 2,1,3
% 14.91/4.12 Id : 4289, {_}: join ?7377 ?7377 =>= complement (complement ?7377) [7377] by Super 1649 with 4032 at 1,3
% 14.91/4.12 Id : 4348, {_}: join ?7377 ?7377 =>= ?7377 [7377] by Demod 4289 with 1649 at 3
% 14.91/4.12 Id : 20262, {_}: join one (join (converse one) ?18070) =>= join (converse one) ?18070 [18070] by Super 20258 with 4348 at 1,1,3
% 14.91/4.12 Id : 20502, {_}: join one (join one ?18070) =>= join (converse one) ?18070 [18070] by Demod 20262 with 746 at 1,2,2
% 14.91/4.12 Id : 20579, {_}: join one (join one ?18197) =>= join one ?18197 [18197] by Demod 20502 with 746 at 1,3
% 14.91/4.12 Id : 20586, {_}: join one top =<= join one (complement one) [] by Super 20579 with 13 at 2,2
% 14.91/4.12 Id : 20637, {_}: join one top =>= top [] by Demod 20586 with 13 at 3
% 14.91/4.12 Id : 20685, {_}: join top (join one ?18246) =>= join top ?18246 [18246] by Super 26 with 20637 at 1,3
% 14.91/4.12 Id : 22, {_}: join ?60 (join ?61 ?62) =?= join ?61 (join ?62 ?60) [62, 61, 60] by Super 2 with 3 at 3
% 14.91/4.12 Id : 20712, {_}: join one (join ?18246 top) =>= join top ?18246 [18246] by Demod 20685 with 22 at 2
% 14.91/4.12 Id : 31367, {_}: join ?24890 (join ?24890 ?24891) =>= join ?24890 ?24891 [24891, 24890] by Super 26 with 4348 at 1,3
% 14.91/4.12 Id : 31439, {_}: join ?25062 top =<= join ?25062 (complement ?25062) [25062] by Super 31367 with 13 at 2,2
% 14.91/4.12 Id : 31674, {_}: join ?25062 top =>= top [25062] by Demod 31439 with 13 at 3
% 14.91/4.12 Id : 31793, {_}: join one top =<= join top ?18246 [18246] by Demod 20712 with 31674 at 2,2
% 14.91/4.12 Id : 31794, {_}: top =<= join top ?18246 [18246] by Demod 31793 with 31674 at 2
% 14.91/4.12 Id : 42000, {_}: join ?421 (join (complement ?421) ?422) =>= top [422, 421] by Demod 151 with 31794 at 3
% 14.91/4.12 Id : 118, {_}: converse (join ?347 (converse ?348)) =>= join (converse ?347) ?348 [348, 347] by Super 117 with 9 at 2,3
% 14.91/4.12 Id : 32414, {_}: join ?25650 (join ?25651 ?25650) =>= join ?25651 ?25650 [25651, 25650] by Super 22 with 4348 at 2,3
% 14.91/4.12 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
% 14.91/4.12 Id : 5256, {_}: ?168 =<= join (meet ?169 ?168) (complement (join (complement ?168) ?169)) [169, 168] by Demod 49 with 5 at 1,3
% 14.91/4.12 Id : 5257, {_}: ?168 =<= join (complement (join (complement ?168) ?169)) (meet ?169 ?168) [169, 168] by Demod 5256 with 2 at 3
% 14.91/4.12 Id : 12137, {_}: join (complement ?12993) (complement ?12994) =<= join (complement (join (meet ?12993 ?12994) ?12995)) (meet (join (complement ?12993) (complement ?12994)) ?12995) [12995, 12994, 12993] by Super 57 with 5 at 1,1,1,3
% 14.91/4.12 Id : 12156, {_}: join (complement ?13059) (complement ?13060) =<= join (complement (join (meet ?13059 ?13060) (complement (join (complement ?13059) (complement ?13060))))) zero [13060, 13059] by Super 12137 with 14 at 2,3
% 14.91/4.12 Id : 12262, {_}: join (complement ?13059) (complement ?13060) =<= join zero (complement (join (meet ?13059 ?13060) (complement (join (complement ?13059) (complement ?13060))))) [13060, 13059] by Demod 12156 with 2 at 3
% 14.91/4.12 Id : 12263, {_}: join (complement ?13059) (complement ?13060) =<= complement (join (meet ?13059 ?13060) (complement (join (complement ?13059) (complement ?13060)))) [13060, 13059] by Demod 12262 with 1633 at 3
% 14.91/4.12 Id : 12264, {_}: join (complement ?13059) (complement ?13060) =<= complement (join (complement (join (complement ?13059) (complement ?13060))) (meet ?13059 ?13060)) [13060, 13059] by Demod 12263 with 2 at 1,3
% 14.91/4.12 Id : 12265, {_}: join (complement ?13059) (complement ?13060) =<= complement (join (meet ?13059 ?13060) (meet ?13059 ?13060)) [13060, 13059] by Demod 12264 with 5 at 1,1,3
% 14.91/4.12 Id : 14039, {_}: join (complement ?14273) (complement ?14274) =>= complement (meet ?14273 ?14274) [14274, 14273] by Demod 12265 with 4348 at 1,3
% 14.91/4.12 Id : 14041, {_}: join (complement ?14278) ?14279 =<= complement (meet ?14278 (complement ?14279)) [14279, 14278] by Super 14039 with 1649 at 2,2
% 14.91/4.12 Id : 15832, {_}: meet ?15174 (complement ?15175) =<= complement (join (complement ?15174) ?15175) [15175, 15174] by Super 1649 with 14041 at 1,3
% 14.91/4.12 Id : 16869, {_}: ?168 =<= join (meet ?168 (complement ?169)) (meet ?169 ?168) [169, 168] by Demod 5257 with 15832 at 1,3
% 14.91/4.12 Id : 32466, {_}: join (meet ?25799 ?25800) ?25800 =<= join (meet ?25800 (complement ?25799)) (meet ?25799 ?25800) [25800, 25799] by Super 32414 with 16869 at 2,2
% 14.91/4.12 Id : 32615, {_}: join (meet ?25799 ?25800) ?25800 =>= ?25800 [25800, 25799] by Demod 32466 with 16869 at 3
% 14.91/4.12 Id : 16870, {_}: ?9 =<= join (meet ?9 (complement ?10)) (meet ?9 ?10) [10, 9] by Demod 57 with 15832 at 1,3
% 14.91/4.12 Id : 14045, {_}: join ?14289 (complement ?14290) =<= complement (meet (complement ?14289) ?14290) [14290, 14289] by Super 14039 with 1649 at 1,2
% 14.91/4.12 Id : 15925, {_}: meet (complement ?15287) ?15288 =<= complement (join ?15287 (complement ?15288)) [15288, 15287] by Super 1649 with 14045 at 1,3
% 14.91/4.12 Id : 5271, {_}: ?8358 =<= join (complement (join (complement ?8358) ?8359)) (meet ?8359 ?8358) [8359, 8358] by Demod 5256 with 2 at 3
% 14.91/4.12 Id : 5272, {_}: sk2 =<= join (complement (join (complement sk2) (converse sk1))) zero [] by Super 5271 with 15 at 2,3
% 14.91/4.12 Id : 5313, {_}: sk2 =<= join zero (complement (join (complement sk2) (converse sk1))) [] by Demod 5272 with 2 at 3
% 14.91/4.12 Id : 5314, {_}: sk2 =<= complement (join (complement sk2) (converse sk1)) [] by Demod 5313 with 1633 at 3
% 14.91/4.12 Id : 5315, {_}: sk2 =<= complement (join (converse sk1) (complement sk2)) [] by Demod 5314 with 2 at 1,3
% 14.91/4.12 Id : 5488, {_}: join (converse sk1) (complement sk2) =>= complement sk2 [] by Super 1649 with 5315 at 1,3
% 14.91/4.12 Id : 5510, {_}: converse (complement sk2) =<= join sk1 (converse (complement sk2)) [] by Super 119 with 5488 at 1,2
% 14.91/4.12 Id : 5529, {_}: join (converse (complement sk2)) (join sk1 ?8566) =>= join (converse (complement sk2)) ?8566 [8566] by Super 26 with 5510 at 1,3
% 14.91/4.12 Id : 5550, {_}: join sk1 (join ?8566 (converse (complement sk2))) =>= join (converse (complement sk2)) ?8566 [8566] by Demod 5529 with 22 at 2
% 14.91/4.12 Id : 42065, {_}: top =<= join (converse (complement sk2)) (complement sk1) [] by Super 5550 with 42000 at 2
% 14.91/4.12 Id : 42462, {_}: converse top =<= join (complement sk2) (converse (complement sk1)) [] by Super 119 with 42065 at 1,2
% 14.91/4.12 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
% 14.91/4.12 Id : 6617, {_}: 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
% 14.91/4.13 Id : 6635, {_}: join (complement ?9426) (complement ?9427) =<= join (complement ?9426) (complement (join (complement ?9426) (join ?9427 (meet ?9426 ?9427)))) [9427, 9426] by Demod 6617 with 22 at 1,2,3
% 14.91/4.13 Id : 1666, {_}: top =<= complement zero [] by Super 13 with 1633 at 3
% 14.91/4.13 Id : 1709, {_}: meet ?3940 zero =<= complement (join (complement ?3940) top) [3940] by Super 5 with 1666 at 2,1,3
% 14.91/4.13 Id : 1718, {_}: meet ?3940 zero =<= complement (join top (complement ?3940)) [3940] by Demod 1709 with 2 at 1,3
% 14.91/4.13 Id : 1710, {_}: meet zero ?3942 =<= complement (join top (complement ?3942)) [3942] by Super 5 with 1666 at 1,1,3
% 14.91/4.13 Id : 2222, {_}: join top (complement ?5299) =>= complement (meet zero ?5299) [5299] by Super 1649 with 1710 at 1,3
% 14.91/4.13 Id : 2327, {_}: meet ?3940 zero =<= complement (complement (meet zero ?3940)) [3940] by Demod 1718 with 2222 at 1,3
% 14.91/4.13 Id : 2328, {_}: meet ?3940 zero =?= meet zero ?3940 [3940] by Demod 2327 with 1649 at 3
% 14.91/4.13 Id : 6646, {_}: join (complement zero) (complement ?9446) =<= join (complement zero) (complement (join (complement zero) (join ?9446 (meet ?9446 zero)))) [9446] by Super 6635 with 2328 at 2,2,1,2,3
% 14.91/4.13 Id : 6772, {_}: join top (complement ?9446) =<= join (complement zero) (complement (join (complement zero) (join ?9446 (meet ?9446 zero)))) [9446] by Demod 6646 with 1666 at 1,2
% 14.91/4.13 Id : 6773, {_}: join top (complement ?9446) =<= join top (complement (join (complement zero) (join ?9446 (meet ?9446 zero)))) [9446] by Demod 6772 with 1666 at 1,3
% 14.91/4.13 Id : 6774, {_}: join top (complement ?9446) =<= join top (complement (join top (join ?9446 (meet ?9446 zero)))) [9446] by Demod 6773 with 1666 at 1,1,2,3
% 14.91/4.13 Id : 1663, {_}: join ?3880 zero =>= ?3880 [3880] by Super 2 with 1633 at 3
% 14.91/4.13 Id : 1747, {_}: ?3999 =<= join (complement (complement ?3999)) (meet ?3999 zero) [3999] by Super 57 with 1663 at 1,1,3
% 14.91/4.13 Id : 1797, {_}: ?3999 =<= join ?3999 (meet ?3999 zero) [3999] by Demod 1747 with 1649 at 1,3
% 14.91/4.13 Id : 6775, {_}: join top (complement ?9446) =<= join top (complement (join top ?9446)) [9446] by Demod 6774 with 1797 at 2,1,2,3
% 14.91/4.13 Id : 6776, {_}: complement (meet zero ?9446) =<= join top (complement (join top ?9446)) [9446] by Demod 6775 with 2222 at 2
% 14.91/4.13 Id : 7856, {_}: complement (meet zero ?10241) =<= complement (meet zero (join top ?10241)) [10241] by Demod 6776 with 2222 at 3
% 14.91/4.13 Id : 7860, {_}: complement (meet zero (complement ?10249)) =<= complement (meet zero (complement (meet zero ?10249))) [10249] by Super 7856 with 2222 at 2,1,3
% 14.91/4.13 Id : 2233, {_}: meet zero ?5325 =<= complement (join top (complement ?5325)) [5325] by Super 5 with 1666 at 1,1,3
% 14.91/4.13 Id : 2236, {_}: meet zero (complement ?5331) =>= complement (join top ?5331) [5331] by Super 2233 with 1649 at 2,1,3
% 14.91/4.13 Id : 7902, {_}: complement (complement (join top ?10249)) =<= complement (meet zero (complement (meet zero ?10249))) [10249] by Demod 7860 with 2236 at 1,2
% 14.91/4.13 Id : 7903, {_}: complement (complement (join top ?10249)) =<= complement (complement (join top (meet zero ?10249))) [10249] by Demod 7902 with 2236 at 1,3
% 14.91/4.13 Id : 7904, {_}: join top ?10249 =<= complement (complement (join top (meet zero ?10249))) [10249] by Demod 7903 with 1649 at 2
% 14.91/4.13 Id : 8064, {_}: join top ?10393 =<= join top (meet zero ?10393) [10393] by Demod 7904 with 1649 at 3
% 14.91/4.13 Id : 6777, {_}: complement (meet zero ?9446) =<= complement (meet zero (join top ?9446)) [9446] by Demod 6776 with 2222 at 3
% 14.91/4.13 Id : 7850, {_}: meet zero (join top ?10225) =>= complement (complement (meet zero ?10225)) [10225] by Super 1649 with 6777 at 1,3
% 14.91/4.13 Id : 7890, {_}: meet zero (join top ?10225) =>= meet zero ?10225 [10225] by Demod 7850 with 1649 at 3
% 14.91/4.13 Id : 8070, {_}: join top (join top ?10401) =>= join top (meet zero ?10401) [10401] by Super 8064 with 7890 at 2,3
% 14.91/4.13 Id : 7905, {_}: join top ?10249 =<= join top (meet zero ?10249) [10249] by Demod 7904 with 1649 at 3
% 14.91/4.13 Id : 8290, {_}: join top (join top ?10554) =>= join top ?10554 [10554] by Demod 8070 with 7905 at 3
% 14.91/4.13 Id : 172, {_}: converse sk1 =<= join (complement (join (complement (converse sk1)) sk2)) zero [] by Super 57 with 15 at 2,3
% 14.91/4.13 Id : 175, {_}: converse sk1 =<= join zero (complement (join (complement (converse sk1)) sk2)) [] by Demod 172 with 2 at 3
% 14.91/4.13 Id : 176, {_}: converse sk1 =<= join zero (complement (join sk2 (complement (converse sk1)))) [] by Demod 175 with 2 at 1,2,3
% 14.91/4.13 Id : 3451, {_}: converse sk1 =<= complement (join sk2 (complement (converse sk1))) [] by Demod 176 with 1633 at 3
% 14.91/4.13 Id : 3463, {_}: top =<= join (join sk2 (complement (converse sk1))) (converse sk1) [] by Super 13 with 3451 at 2,3
% 14.91/4.13 Id : 3468, {_}: top =<= join (converse sk1) (join sk2 (complement (converse sk1))) [] by Demod 3463 with 2 at 3
% 14.91/4.13 Id : 3469, {_}: top =<= join sk2 (join (complement (converse sk1)) (converse sk1)) [] by Demod 3468 with 22 at 3
% 14.91/4.13 Id : 3470, {_}: top =<= join sk2 (join (converse sk1) (complement (converse sk1))) [] by Demod 3469 with 2 at 2,3
% 14.91/4.13 Id : 3471, {_}: top =<= join sk2 top [] by Demod 3470 with 13 at 2,3
% 14.91/4.13 Id : 3489, {_}: join top (join sk2 ?6670) =>= join top ?6670 [6670] by Super 26 with 3471 at 1,3
% 14.91/4.13 Id : 3507, {_}: join sk2 (join ?6670 top) =>= join top ?6670 [6670] by Demod 3489 with 22 at 2
% 14.91/4.13 Id : 653, {_}: converse (join ?1633 (converse ?1634)) =>= join (converse ?1633) ?1634 [1634, 1633] by Super 117 with 9 at 2,3
% 14.91/4.13 Id : 658, {_}: converse top =<= join (converse (complement (converse ?1650))) ?1650 [1650] by Super 653 with 155 at 1,2
% 14.91/4.13 Id : 4690, {_}: join sk2 (converse top) =<= join top (converse (complement (converse top))) [] by Super 3507 with 658 at 2,2
% 14.91/4.13 Id : 4798, {_}: converse (join sk2 (converse top)) =<= join (converse top) (complement (converse top)) [] by Super 118 with 4690 at 1,2
% 14.91/4.13 Id : 4810, {_}: join (converse sk2) top =<= join (converse top) (complement (converse top)) [] by Demod 4798 with 118 at 2
% 14.91/4.13 Id : 4811, {_}: join (converse sk2) top =>= top [] by Demod 4810 with 13 at 3
% 14.91/4.13 Id : 4812, {_}: join top (converse sk2) =>= top [] by Demod 4811 with 2 at 2
% 14.91/4.13 Id : 4829, {_}: converse top =<= join (converse top) sk2 [] by Super 118 with 4812 at 1,2
% 14.91/4.13 Id : 4850, {_}: converse top =<= join sk2 (converse top) [] by Demod 4829 with 2 at 3
% 14.91/4.13 Id : 4856, {_}: converse top =<= join top (converse (complement (converse top))) [] by Demod 4690 with 4850 at 2
% 14.91/4.13 Id : 8311, {_}: join top (converse top) =<= join top (converse (complement (converse top))) [] by Super 8290 with 4856 at 2,2
% 14.91/4.13 Id : 8401, {_}: join top (converse top) =>= converse top [] by Demod 8311 with 4856 at 3
% 14.91/4.13 Id : 8437, {_}: converse (converse top) =<= join (converse top) top [] by Super 118 with 8401 at 1,2
% 14.91/4.13 Id : 8450, {_}: top =<= join (converse top) top [] by Demod 8437 with 9 at 2
% 14.91/4.13 Id : 8451, {_}: top =<= join top (converse top) [] by Demod 8450 with 2 at 3
% 14.91/4.13 Id : 8452, {_}: top =<= converse top [] by Demod 8451 with 8401 at 3
% 14.91/4.13 Id : 42482, {_}: top =<= join (complement sk2) (converse (complement sk1)) [] by Demod 42462 with 8452 at 2
% 14.91/4.13 Id : 42483, {_}: top =<= join (converse (complement sk1)) (complement sk2) [] by Demod 42482 with 2 at 3
% 14.91/4.13 Id : 42523, {_}: meet (complement (converse (complement sk1))) sk2 =>= complement top [] by Super 15925 with 42483 at 1,3
% 14.91/4.13 Id : 63, {_}: meet ?203 ?204 =<= complement (join (complement ?204) (complement ?203)) [204, 203] by Super 60 with 2 at 1,3
% 14.91/4.13 Id : 67, {_}: meet ?203 ?204 =?= meet ?204 ?203 [204, 203] by Demod 63 with 5 at 3
% 14.91/4.13 Id : 42540, {_}: meet sk2 (complement (converse (complement sk1))) =>= complement top [] by Demod 42523 with 67 at 2
% 14.91/4.13 Id : 42541, {_}: meet sk2 (complement (converse (complement sk1))) =>= zero [] by Demod 42540 with 192 at 3
% 14.91/4.13 Id : 42716, {_}: sk2 =<= join (meet sk2 (complement (complement (converse (complement sk1))))) zero [] by Super 16870 with 42541 at 2,3
% 14.91/4.13 Id : 42759, {_}: sk2 =<= join zero (meet sk2 (complement (complement (converse (complement sk1))))) [] by Demod 42716 with 2 at 3
% 14.91/4.13 Id : 42760, {_}: sk2 =<= meet sk2 (complement (complement (converse (complement sk1)))) [] by Demod 42759 with 1633 at 3
% 14.91/4.13 Id : 42761, {_}: sk2 =<= meet sk2 (converse (complement sk1)) [] by Demod 42760 with 1649 at 2,3
% 14.91/4.13 Id : 42814, {_}: join sk2 (converse (complement sk1)) =>= converse (complement sk1) [] by Super 32615 with 42761 at 1,2
% 14.91/4.13 Id : 42873, {_}: converse (converse (complement sk1)) =<= join (converse sk2) (complement sk1) [] by Super 118 with 42814 at 1,2
% 14.91/4.13 Id : 42895, {_}: complement sk1 =<= join (converse sk2) (complement sk1) [] by Demod 42873 with 9 at 2
% 14.91/4.13 Id : 42910, {_}: join (complement sk1) (join (converse sk2) ?33891) =>= join (complement sk1) ?33891 [33891] by Super 26 with 42895 at 1,3
% 14.91/4.13 Id : 42938, {_}: join (converse sk2) (join ?33891 (complement sk1)) =>= join (complement sk1) ?33891 [33891] by Demod 42910 with 22 at 2
% 14.91/4.13 Id : 43784, {_}: join (complement sk1) (complement (converse sk2)) =>= top [] by Super 42000 with 42938 at 2
% 14.91/4.13 Id : 12266, {_}: join (complement ?13059) (complement ?13060) =>= complement (meet ?13059 ?13060) [13060, 13059] by Demod 12265 with 4348 at 1,3
% 14.91/4.13 Id : 43816, {_}: complement (meet sk1 (converse sk2)) =>= top [] by Demod 43784 with 12266 at 2
% 14.91/4.13 Id : 43957, {_}: meet top (meet sk1 (converse sk2)) =>= zero [] by Super 285 with 43816 at 1,2
% 14.91/4.13 Id : 197, {_}: meet top ?492 =<= complement (join zero (complement ?492)) [492] by Super 5 with 192 at 1,1,3
% 14.91/4.13 Id : 1646, {_}: meet top ?492 =>= complement (complement ?492) [492] by Demod 197 with 1633 at 1,3
% 14.91/4.13 Id : 1651, {_}: meet top ?492 =>= ?492 [492] by Demod 1646 with 1649 at 3
% 14.91/4.13 Id : 43981, {_}: meet sk1 (converse sk2) =>= zero [] by Demod 43957 with 1651 at 2
% 14.91/4.13 Id : 44076, {_}: zero === zero [] by Demod 1 with 43981 at 2
% 14.91/4.13 Id : 1, {_}: meet sk1 (converse sk2) =>= zero [] by goals_15
% 14.91/4.13 % SZS output end CNFRefutation for theBenchmark.p
% 14.91/4.13 8998: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 3.694245 using nrkbo
%------------------------------------------------------------------------------