TSTP Solution File: LAT091-1 by Matita---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Matita---1.0
% Problem : LAT091-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n020.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 : Sun Jul 17 05:55:59 EDT 2022
% Result : Unsatisfiable 1.55s 0.74s
% Output : CNFRefutation 1.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT091-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 29 19:11:46 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 11622: Facts:
% 0.13/0.34 11622: Id : 2, {_}:
% 0.13/0.34 join (meet ?2 ?3) (meet ?2 (join ?2 ?3)) =>= ?2
% 0.13/0.34 [3, 2] by wal_absorbtion_1 ?2 ?3
% 0.13/0.34 11622: Id : 3, {_}:
% 0.13/0.34 join (meet ?5 ?5) (meet ?6 (join ?5 ?5)) =>= ?5
% 0.13/0.34 [6, 5] by wal_absorbtion_2 ?5 ?6
% 0.13/0.34 11622: Id : 4, {_}:
% 0.13/0.34 join (meet ?8 ?9) (meet ?9 (join ?8 ?9)) =>= ?9
% 0.13/0.34 [9, 8] by wal_absorbtion_3 ?8 ?9
% 0.13/0.34 11622: Id : 5, {_}:
% 0.13/0.34 meet (meet (join ?11 ?12) (join ?13 ?11)) ?11 =>= ?11
% 0.13/0.34 [13, 12, 11] by wal_absorbtion_4 ?11 ?12 ?13
% 0.13/0.34 11622: Id : 6, {_}:
% 0.13/0.34 join (join (meet ?15 ?16) (meet ?17 ?15)) ?15 =>= ?15
% 0.13/0.34 [17, 16, 15] by wal_absorbtion_5 ?15 ?16 ?17
% 0.13/0.34 11622: Goal:
% 0.13/0.34 11622: Id : 1, {_}: join b a =<= join a b [] by prove_normal_axioms_4
% 1.55/0.74 Statistics :
% 1.55/0.74 Max weight : 65
% 1.55/0.74 Found proof, 0.398345s
% 1.55/0.74 % SZS status Unsatisfiable for theBenchmark.p
% 1.55/0.74 % SZS output start CNFRefutation for theBenchmark.p
% 1.55/0.74 Id : 4, {_}: join (meet ?8 ?9) (meet ?9 (join ?8 ?9)) =>= ?9 [9, 8] by wal_absorbtion_3 ?8 ?9
% 1.55/0.74 Id : 18, {_}: join (meet ?46 ?47) (meet ?47 (join ?46 ?47)) =>= ?47 [47, 46] by wal_absorbtion_3 ?46 ?47
% 1.55/0.74 Id : 7, {_}: join (meet ?19 ?20) (meet ?19 (join ?19 ?20)) =>= ?19 [20, 19] by wal_absorbtion_1 ?19 ?20
% 1.55/0.74 Id : 40, {_}: join (join (meet ?119 ?120) (meet ?121 ?119)) ?119 =>= ?119 [121, 120, 119] by wal_absorbtion_5 ?119 ?120 ?121
% 1.55/0.74 Id : 2, {_}: join (meet ?2 ?3) (meet ?2 (join ?2 ?3)) =>= ?2 [3, 2] by wal_absorbtion_1 ?2 ?3
% 1.55/0.74 Id : 6, {_}: join (join (meet ?15 ?16) (meet ?17 ?15)) ?15 =>= ?15 [17, 16, 15] by wal_absorbtion_5 ?15 ?16 ?17
% 1.55/0.74 Id : 5, {_}: meet (meet (join ?11 ?12) (join ?13 ?11)) ?11 =>= ?11 [13, 12, 11] by wal_absorbtion_4 ?11 ?12 ?13
% 1.55/0.74 Id : 3, {_}: join (meet ?5 ?5) (meet ?6 (join ?5 ?5)) =>= ?5 [6, 5] by wal_absorbtion_2 ?5 ?6
% 1.55/0.74 Id : 75, {_}: meet (meet (join ?214 ?215) ?214) ?214 =>= ?214 [215, 214] by Super 5 with 6 at 2,1,2
% 1.55/0.74 Id : 119, {_}: meet (meet ?322 (meet ?322 ?323)) (meet ?322 ?323) =>= meet ?322 ?323 [323, 322] by Super 75 with 2 at 1,1,2
% 1.55/0.74 Id : 120, {_}: meet (meet (meet (join ?325 ?326) (join ?327 ?325)) (meet (meet (join ?325 ?326) (join ?327 ?325)) ?325)) ?325 =>= meet (meet (join ?325 ?326) (join ?327 ?325)) ?325 [327, 326, 325] by Super 119 with 5 at 2,2
% 1.55/0.74 Id : 132, {_}: meet (meet (meet (join ?325 ?326) (join ?327 ?325)) ?325) ?325 =>= meet (meet (join ?325 ?326) (join ?327 ?325)) ?325 [327, 326, 325] by Demod 120 with 5 at 2,1,2
% 1.55/0.74 Id : 133, {_}: meet (meet (meet (join ?325 ?326) (join ?327 ?325)) ?325) ?325 =>= ?325 [327, 326, 325] by Demod 132 with 5 at 3
% 1.55/0.74 Id : 134, {_}: meet ?325 ?325 =>= ?325 [325] by Demod 133 with 5 at 1,2
% 1.55/0.74 Id : 155, {_}: join ?5 (meet ?6 (join ?5 ?5)) =>= ?5 [6, 5] by Demod 3 with 134 at 1,2
% 1.55/0.74 Id : 41, {_}: join (join (meet ?123 ?124) ?123) ?123 =>= ?123 [124, 123] by Super 40 with 5 at 2,1,2
% 1.55/0.74 Id : 164, {_}: meet (join ?366 ?366) ?366 =>= ?366 [366] by Super 5 with 134 at 1,2
% 1.55/0.74 Id : 262, {_}: join (join ?489 (join ?489 ?489)) (join ?489 ?489) =>= join ?489 ?489 [489] by Super 41 with 164 at 1,1,2
% 1.55/0.74 Id : 25, {_}: join (meet ?64 ?64) (join ?64 ?64) =>= ?64 [64] by Super 3 with 5 at 2,2
% 1.55/0.74 Id : 154, {_}: join ?64 (join ?64 ?64) =>= ?64 [64] by Demod 25 with 134 at 1,2
% 1.55/0.74 Id : 272, {_}: join ?489 (join ?489 ?489) =>= join ?489 ?489 [489] by Demod 262 with 154 at 1,2
% 1.55/0.74 Id : 273, {_}: ?489 =<= join ?489 ?489 [489] by Demod 272 with 154 at 2
% 1.55/0.74 Id : 291, {_}: join ?5 (meet ?6 ?5) =>= ?5 [6, 5] by Demod 155 with 273 at 2,2,2
% 1.55/0.74 Id : 37, {_}: join (meet (join (meet ?107 ?108) (meet ?109 ?107)) ?107) (meet (join (meet ?107 ?108) (meet ?109 ?107)) ?107) =>= join (meet ?107 ?108) (meet ?109 ?107) [109, 108, 107] by Super 2 with 6 at 2,2,2
% 1.55/0.74 Id : 8365, {_}: meet (join (meet ?9751 ?9752) (meet ?9753 ?9751)) ?9751 =>= join (meet ?9751 ?9752) (meet ?9753 ?9751) [9753, 9752, 9751] by Demod 37 with 273 at 2
% 1.55/0.74 Id : 8, {_}: join (meet (meet ?22 ?23) (meet ?22 (join ?22 ?23))) (meet (meet ?22 ?23) ?22) =>= meet ?22 ?23 [23, 22] by Super 7 with 2 at 2,2,2
% 1.55/0.74 Id : 21, {_}: join (meet (meet ?55 ?56) (meet ?56 (join ?55 ?56))) (meet (meet ?56 (join ?55 ?56)) ?56) =>= meet ?56 (join ?55 ?56) [56, 55] by Super 18 with 4 at 2,2,2
% 1.55/0.74 Id : 299, {_}: meet (meet ?508 (join ?509 ?508)) ?508 =>= ?508 [509, 508] by Super 5 with 273 at 1,1,2
% 1.55/0.74 Id : 1097, {_}: join (meet (meet ?1307 ?1308) (meet ?1308 (join ?1307 ?1308))) ?1308 =>= meet ?1308 (join ?1307 ?1308) [1308, 1307] by Demod 21 with 299 at 2,2
% 1.55/0.74 Id : 38, {_}: meet (meet (join ?111 ?112) ?111) ?111 =>= ?111 [112, 111] by Super 5 with 6 at 2,1,2
% 1.55/0.74 Id : 78, {_}: meet (meet ?222 (meet ?223 ?222)) (meet ?223 ?222) =>= meet ?223 ?222 [223, 222] by Super 75 with 4 at 1,1,2
% 1.55/0.74 Id : 581, {_}: join (join (meet ?794 ?795) (meet ?795 (meet ?794 ?795))) (meet ?795 (meet ?794 ?795)) =>= meet ?795 (meet ?794 ?795) [795, 794] by Super 41 with 78 at 1,1,2
% 1.55/0.74 Id : 623, {_}: join (meet ?794 ?795) (meet ?795 (meet ?794 ?795)) =>= meet ?795 (meet ?794 ?795) [795, 794] by Demod 581 with 291 at 1,2
% 1.55/0.74 Id : 624, {_}: meet ?794 ?795 =<= meet ?795 (meet ?794 ?795) [795, 794] by Demod 623 with 291 at 2
% 1.55/0.74 Id : 698, {_}: join (meet (meet ?893 (meet ?894 ?893)) (meet ?893 (join ?893 (meet ?894 ?893)))) (meet (meet ?894 ?893) ?893) =>= meet ?893 (meet ?894 ?893) [894, 893] by Super 8 with 624 at 1,2,2
% 1.55/0.74 Id : 742, {_}: join (meet (meet ?894 ?893) (meet ?893 (join ?893 (meet ?894 ?893)))) (meet (meet ?894 ?893) ?893) =>= meet ?893 (meet ?894 ?893) [893, 894] by Demod 698 with 624 at 1,1,2
% 1.55/0.74 Id : 743, {_}: join (meet (meet ?894 ?893) (meet ?893 ?893)) (meet (meet ?894 ?893) ?893) =>= meet ?893 (meet ?894 ?893) [893, 894] by Demod 742 with 291 at 2,2,1,2
% 1.55/0.74 Id : 744, {_}: join (meet (meet ?894 ?893) (meet ?893 ?893)) (meet (meet ?894 ?893) ?893) =>= meet ?894 ?893 [893, 894] by Demod 743 with 624 at 3
% 1.55/0.74 Id : 745, {_}: join (meet (meet ?894 ?893) ?893) (meet (meet ?894 ?893) ?893) =>= meet ?894 ?893 [893, 894] by Demod 744 with 134 at 2,1,2
% 1.55/0.74 Id : 746, {_}: meet (meet ?894 ?893) ?893 =>= meet ?894 ?893 [893, 894] by Demod 745 with 273 at 2
% 1.55/0.74 Id : 777, {_}: meet (join ?111 ?112) ?111 =>= ?111 [112, 111] by Demod 38 with 746 at 2
% 1.55/0.74 Id : 1114, {_}: join (meet ?1359 (meet ?1359 (join (join ?1359 ?1360) ?1359))) ?1359 =>= meet ?1359 (join (join ?1359 ?1360) ?1359) [1360, 1359] by Super 1097 with 777 at 1,1,2
% 1.55/0.74 Id : 76, {_}: meet (meet ?217 (meet ?217 ?218)) (meet ?217 ?218) =>= meet ?217 ?218 [218, 217] by Super 75 with 2 at 1,1,2
% 1.55/0.74 Id : 778, {_}: meet ?217 (meet ?217 ?218) =>= meet ?217 ?218 [218, 217] by Demod 76 with 746 at 2
% 1.55/0.74 Id : 1192, {_}: join (meet ?1359 (join (join ?1359 ?1360) ?1359)) ?1359 =>= meet ?1359 (join (join ?1359 ?1360) ?1359) [1360, 1359] by Demod 1114 with 778 at 1,2
% 1.55/0.74 Id : 1359, {_}: join (meet (meet (meet ?1557 (join (join ?1557 ?1558) ?1557)) ?1557) (meet (meet ?1557 (join (join ?1557 ?1558) ?1557)) (meet ?1557 (join (join ?1557 ?1558) ?1557)))) (meet (meet (meet ?1557 (join (join ?1557 ?1558) ?1557)) ?1557) (meet ?1557 (join (join ?1557 ?1558) ?1557))) =>= meet (meet ?1557 (join (join ?1557 ?1558) ?1557)) ?1557 [1558, 1557] by Super 8 with 1192 at 2,2,1,2
% 1.55/0.74 Id : 1406, {_}: join (meet ?1557 (meet (meet ?1557 (join (join ?1557 ?1558) ?1557)) (meet ?1557 (join (join ?1557 ?1558) ?1557)))) (meet (meet (meet ?1557 (join (join ?1557 ?1558) ?1557)) ?1557) (meet ?1557 (join (join ?1557 ?1558) ?1557))) =>= meet (meet ?1557 (join (join ?1557 ?1558) ?1557)) ?1557 [1558, 1557] by Demod 1359 with 299 at 1,1,2
% 1.55/0.74 Id : 1407, {_}: join (meet ?1557 (meet ?1557 (join (join ?1557 ?1558) ?1557))) (meet (meet (meet ?1557 (join (join ?1557 ?1558) ?1557)) ?1557) (meet ?1557 (join (join ?1557 ?1558) ?1557))) =>= meet (meet ?1557 (join (join ?1557 ?1558) ?1557)) ?1557 [1558, 1557] by Demod 1406 with 134 at 2,1,2
% 1.55/0.74 Id : 1408, {_}: join (meet ?1557 (meet ?1557 (join (join ?1557 ?1558) ?1557))) (meet ?1557 (meet ?1557 (join (join ?1557 ?1558) ?1557))) =>= meet (meet ?1557 (join (join ?1557 ?1558) ?1557)) ?1557 [1558, 1557] by Demod 1407 with 299 at 1,2,2
% 1.55/0.74 Id : 1409, {_}: join (meet ?1557 (meet ?1557 (join (join ?1557 ?1558) ?1557))) (meet ?1557 (meet ?1557 (join (join ?1557 ?1558) ?1557))) =>= ?1557 [1558, 1557] by Demod 1408 with 299 at 3
% 1.55/0.74 Id : 1410, {_}: meet ?1557 (meet ?1557 (join (join ?1557 ?1558) ?1557)) =>= ?1557 [1558, 1557] by Demod 1409 with 273 at 2
% 1.55/0.74 Id : 1411, {_}: meet ?1557 (join (join ?1557 ?1558) ?1557) =>= ?1557 [1558, 1557] by Demod 1410 with 778 at 2
% 1.55/0.74 Id : 1570, {_}: join (join (join ?1794 ?1795) ?1794) ?1794 =>= join (join ?1794 ?1795) ?1794 [1795, 1794] by Super 291 with 1411 at 2,2
% 1.55/0.74 Id : 1571, {_}: join (join ?1797 (meet ?1797 ?1798)) (meet ?1797 ?1798) =<= join (join (meet ?1797 ?1798) (meet ?1797 (join ?1797 ?1798))) (meet ?1797 ?1798) [1798, 1797] by Super 1570 with 2 at 1,1,2
% 1.55/0.74 Id : 2487, {_}: join (join ?2774 (meet ?2774 ?2775)) (meet ?2774 ?2775) =>= join ?2774 (meet ?2774 ?2775) [2775, 2774] by Demod 1571 with 2 at 1,3
% 1.55/0.74 Id : 2490, {_}: join (join (meet ?2783 (join ?2784 ?2783)) (meet (meet ?2783 (join ?2784 ?2783)) ?2783)) ?2783 =>= join (meet ?2783 (join ?2784 ?2783)) (meet (meet ?2783 (join ?2784 ?2783)) ?2783) [2784, 2783] by Super 2487 with 299 at 2,2
% 1.55/0.74 Id : 2569, {_}: ?2783 =<= join (meet ?2783 (join ?2784 ?2783)) (meet (meet ?2783 (join ?2784 ?2783)) ?2783) [2784, 2783] by Demod 2490 with 6 at 2
% 1.55/0.74 Id : 2570, {_}: ?2783 =<= join (meet ?2783 (join ?2784 ?2783)) ?2783 [2784, 2783] by Demod 2569 with 299 at 2,3
% 1.55/0.74 Id : 2673, {_}: join (meet (meet ?2894 (join ?2895 ?2894)) ?2894) (meet (meet ?2894 (join ?2895 ?2894)) ?2894) =>= meet ?2894 (join ?2895 ?2894) [2895, 2894] by Super 2 with 2570 at 2,2,2
% 1.55/0.74 Id : 2724, {_}: meet (meet ?2894 (join ?2895 ?2894)) ?2894 =>= meet ?2894 (join ?2895 ?2894) [2895, 2894] by Demod 2673 with 273 at 2
% 1.55/0.74 Id : 2725, {_}: ?2894 =<= meet ?2894 (join ?2895 ?2894) [2895, 2894] by Demod 2724 with 299 at 2
% 1.55/0.74 Id : 2999, {_}: join (join ?3256 ?3257) ?3257 =>= join ?3256 ?3257 [3257, 3256] by Super 291 with 2725 at 2,2
% 1.55/0.74 Id : 3002, {_}: join (meet ?3266 ?3267) (meet (meet ?3266 ?3267) ?3266) =<= join (meet (meet ?3266 ?3267) (meet ?3266 (join ?3266 ?3267))) (meet (meet ?3266 ?3267) ?3266) [3267, 3266] by Super 2999 with 8 at 1,2
% 1.55/0.74 Id : 3060, {_}: join (meet ?3266 ?3267) (meet (meet ?3266 ?3267) ?3266) =>= meet ?3266 ?3267 [3267, 3266] by Demod 3002 with 8 at 3
% 1.55/0.74 Id : 8413, {_}: meet (meet ?9968 ?9969) ?9968 =<= join (meet ?9968 ?9969) (meet (meet ?9968 ?9969) ?9968) [9969, 9968] by Super 8365 with 3060 at 1,2
% 1.55/0.74 Id : 8582, {_}: meet (meet ?9968 ?9969) ?9968 =>= meet ?9968 ?9969 [9969, 9968] by Demod 8413 with 3060 at 3
% 1.55/0.74 Id : 8788, {_}: join ?10390 (meet ?10390 ?10391) =>= ?10390 [10391, 10390] by Super 291 with 8582 at 2,2
% 1.55/0.74 Id : 8795, {_}: join (join ?10414 ?10415) ?10414 =>= join ?10414 ?10415 [10415, 10414] by Super 8788 with 777 at 2,2
% 1.55/0.74 Id : 703, {_}: join (join (meet ?909 ?910) (meet ?911 ?910)) ?910 =>= ?910 [911, 910, 909] by Super 6 with 624 at 1,1,2
% 1.55/0.74 Id : 2816, {_}: join (join ?3051 (meet ?3052 (join ?3053 ?3051))) (join ?3053 ?3051) =>= join ?3053 ?3051 [3053, 3052, 3051] by Super 703 with 2725 at 1,1,2
% 1.55/0.74 Id : 8629, {_}: meet (meet ?10107 ?10108) ?10107 =>= meet ?10107 ?10108 [10108, 10107] by Demod 8413 with 3060 at 3
% 1.55/0.74 Id : 8636, {_}: meet ?10131 (join ?10131 ?10132) =?= meet (join ?10131 ?10132) ?10131 [10132, 10131] by Super 8629 with 777 at 1,2
% 1.55/0.74 Id : 8702, {_}: meet ?10131 (join ?10131 ?10132) =>= ?10131 [10132, 10131] by Demod 8636 with 777 at 3
% 1.55/0.74 Id : 8947, {_}: join (join ?10492 ?10493) (join ?10493 ?10492) =>= join ?10493 ?10492 [10493, 10492] by Super 2816 with 8702 at 2,1,2
% 1.55/0.74 Id : 9963, {_}: join (join ?12079 ?12080) (join ?12080 ?12079) =?= join (join ?12080 ?12079) (join ?12079 ?12080) [12080, 12079] by Super 8795 with 8947 at 1,2
% 1.55/0.74 Id : 10153, {_}: join ?12080 ?12079 =<= join (join ?12080 ?12079) (join ?12079 ?12080) [12079, 12080] by Demod 9963 with 8947 at 2
% 1.55/0.74 Id : 10154, {_}: join ?12080 ?12079 =?= join ?12079 ?12080 [12079, 12080] by Demod 10153 with 8947 at 3
% 1.55/0.74 Id : 10593, {_}: join b a === join b a [] by Demod 1 with 10154 at 3
% 1.55/0.74 Id : 1, {_}: join b a =<= join a b [] by prove_normal_axioms_4
% 1.55/0.74 % SZS output end CNFRefutation for theBenchmark.p
% 1.55/0.74 11622: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.397654 using nrkbo
% 1.55/0.75 Statistics :
% 1.55/0.75 Max weight : 65
% 1.55/0.75 Found proof, 0.403274s
% 1.55/0.75 % SZS status Unsatisfiable for theBenchmark.p
% 1.55/0.75 % SZS output start CNFRefutation for theBenchmark.p
% 1.55/0.75 Id : 4, {_}: join (meet ?8 ?9) (meet ?9 (join ?8 ?9)) =>= ?9 [9, 8] by wal_absorbtion_3 ?8 ?9
% 1.55/0.75 Id : 18, {_}: join (meet ?46 ?47) (meet ?47 (join ?46 ?47)) =>= ?47 [47, 46] by wal_absorbtion_3 ?46 ?47
% 1.55/0.75 Id : 7, {_}: join (meet ?19 ?20) (meet ?19 (join ?19 ?20)) =>= ?19 [20, 19] by wal_absorbtion_1 ?19 ?20
% 1.55/0.75 Id : 40, {_}: join (join (meet ?119 ?120) (meet ?121 ?119)) ?119 =>= ?119 [121, 120, 119] by wal_absorbtion_5 ?119 ?120 ?121
% 1.55/0.75 Id : 2, {_}: join (meet ?2 ?3) (meet ?2 (join ?2 ?3)) =>= ?2 [3, 2] by wal_absorbtion_1 ?2 ?3
% 1.55/0.75 Id : 6, {_}: join (join (meet ?15 ?16) (meet ?17 ?15)) ?15 =>= ?15 [17, 16, 15] by wal_absorbtion_5 ?15 ?16 ?17
% 1.55/0.75 Id : 5, {_}: meet (meet (join ?11 ?12) (join ?13 ?11)) ?11 =>= ?11 [13, 12, 11] by wal_absorbtion_4 ?11 ?12 ?13
% 1.55/0.75 Id : 3, {_}: join (meet ?5 ?5) (meet ?6 (join ?5 ?5)) =>= ?5 [6, 5] by wal_absorbtion_2 ?5 ?6
% 1.55/0.75 Id : 75, {_}: meet (meet (join ?214 ?215) ?214) ?214 =>= ?214 [215, 214] by Super 5 with 6 at 2,1,2
% 1.55/0.75 Id : 119, {_}: meet (meet ?322 (meet ?322 ?323)) (meet ?322 ?323) =>= meet ?322 ?323 [323, 322] by Super 75 with 2 at 1,1,2
% 1.55/0.75 Id : 120, {_}: meet (meet (meet (join ?325 ?326) (join ?327 ?325)) (meet (meet (join ?325 ?326) (join ?327 ?325)) ?325)) ?325 =>= meet (meet (join ?325 ?326) (join ?327 ?325)) ?325 [327, 326, 325] by Super 119 with 5 at 2,2
% 1.55/0.75 Id : 132, {_}: meet (meet (meet (join ?325 ?326) (join ?327 ?325)) ?325) ?325 =>= meet (meet (join ?325 ?326) (join ?327 ?325)) ?325 [327, 326, 325] by Demod 120 with 5 at 2,1,2
% 1.55/0.75 Id : 133, {_}: meet (meet (meet (join ?325 ?326) (join ?327 ?325)) ?325) ?325 =>= ?325 [327, 326, 325] by Demod 132 with 5 at 3
% 1.55/0.75 Id : 134, {_}: meet ?325 ?325 =>= ?325 [325] by Demod 133 with 5 at 1,2
% 1.55/0.75 Id : 155, {_}: join ?5 (meet ?6 (join ?5 ?5)) =>= ?5 [6, 5] by Demod 3 with 134 at 1,2
%------------------------------------------------------------------------------