TSTP Solution File: LAT028-1 by Matita---1.0
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% File : Matita---1.0
% Problem : LAT028-1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/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 : Sun Jul 17 05:55:40 EDT 2022
% Result : Unsatisfiable 4.28s 1.39s
% Output : CNFRefutation 4.28s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT028-1 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/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
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 29 23:13:23 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 13835: Facts:
% 0.12/0.34 13835: Id : 2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
% 0.12/0.34 13835: Id : 3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
% 0.12/0.34 13835: Id : 4, {_}: meet ?6 ?7 =?= meet ?7 ?6 [7, 6] by commutativity_of_meet ?6 ?7
% 0.12/0.34 13835: Id : 5, {_}:
% 0.12/0.34 join ?9 ?10 =?= join ?10 ?9
% 0.12/0.34 [10, 9] by commutativity_of_join ?9 ?10
% 0.12/0.34 13835: Id : 6, {_}:
% 0.12/0.34 meet (meet (join ?12 ?13) (join ?14 ?13)) ?13 =>= ?13
% 0.12/0.34 [14, 13, 12] by wal_1 ?12 ?13 ?14
% 0.12/0.34 13835: Id : 7, {_}:
% 0.12/0.34 join (join (meet ?16 ?17) (meet ?18 ?17)) ?17 =>= ?17
% 0.12/0.34 [18, 17, 16] by wal_2 ?16 ?17 ?18
% 0.12/0.34 13835: Id : 8, {_}: meet2 ?20 ?20 =>= ?20 [20] by idempotence_of_meet2 ?20
% 0.12/0.34 13835: Id : 9, {_}:
% 0.12/0.34 meet2 ?22 ?23 =?= meet2 ?23 ?22
% 0.12/0.34 [23, 22] by commutativity_of_meet2 ?22 ?23
% 0.12/0.34 13835: Id : 10, {_}:
% 0.12/0.34 meet2 (meet2 (join ?25 ?26) (join ?27 ?26)) ?26 =>= ?26
% 0.12/0.34 [27, 26, 25] by wal_1_2 ?25 ?26 ?27
% 0.12/0.34 13835: Id : 11, {_}:
% 0.12/0.34 join (join (meet2 ?29 ?30) (meet2 ?31 ?30)) ?30 =>= ?30
% 0.12/0.34 [31, 30, 29] by wal_2_2 ?29 ?30 ?31
% 0.12/0.34 13835: Goal:
% 0.12/0.34 13835: Id : 1, {_}: meet a b =<= meet2 a b [] by name
% 4.28/1.39 Statistics :
% 4.28/1.39 Max weight : 29
% 4.28/1.39 Found proof, 1.051793s
% 4.28/1.39 % SZS status Unsatisfiable for theBenchmark.p
% 4.28/1.39 % SZS output start CNFRefutation for theBenchmark.p
% 4.28/1.39 Id : 7, {_}: join (join (meet ?16 ?17) (meet ?18 ?17)) ?17 =>= ?17 [18, 17, 16] by wal_2 ?16 ?17 ?18
% 4.28/1.39 Id : 10, {_}: meet2 (meet2 (join ?25 ?26) (join ?27 ?26)) ?26 =>= ?26 [27, 26, 25] by wal_1_2 ?25 ?26 ?27
% 4.28/1.39 Id : 2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
% 4.28/1.39 Id : 3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
% 4.28/1.39 Id : 9, {_}: meet2 ?22 ?23 =?= meet2 ?23 ?22 [23, 22] by commutativity_of_meet2 ?22 ?23
% 4.28/1.39 Id : 5, {_}: join ?9 ?10 =?= join ?10 ?9 [10, 9] by commutativity_of_join ?9 ?10
% 4.28/1.39 Id : 11, {_}: join (join (meet2 ?29 ?30) (meet2 ?31 ?30)) ?30 =>= ?30 [31, 30, 29] by wal_2_2 ?29 ?30 ?31
% 4.28/1.39 Id : 4, {_}: meet ?6 ?7 =?= meet ?7 ?6 [7, 6] by commutativity_of_meet ?6 ?7
% 4.28/1.39 Id : 6, {_}: meet (meet (join ?12 ?13) (join ?14 ?13)) ?13 =>= ?13 [14, 13, 12] by wal_1 ?12 ?13 ?14
% 4.28/1.39 Id : 26, {_}: meet ?13 (meet (join ?12 ?13) (join ?14 ?13)) =>= ?13 [14, 12, 13] by Demod 6 with 4 at 2
% 4.28/1.39 Id : 96, {_}: join ?30 (join (meet2 ?29 ?30) (meet2 ?31 ?30)) =>= ?30 [31, 29, 30] by Demod 11 with 5 at 2
% 4.28/1.39 Id : 100, {_}: meet (join (meet2 ?264 ?265) (meet2 ?266 ?265)) (meet ?265 (join ?267 (join (meet2 ?264 ?265) (meet2 ?266 ?265)))) =>= join (meet2 ?264 ?265) (meet2 ?266 ?265) [267, 266, 265, 264] by Super 26 with 96 at 1,2,2
% 4.28/1.39 Id : 102, {_}: join ?273 (join (meet2 ?274 ?273) (meet2 ?275 ?273)) =>= ?273 [275, 274, 273] by Demod 11 with 5 at 2
% 4.28/1.39 Id : 1804, {_}: join ?2717 (join (meet2 ?2718 ?2717) (meet2 ?2717 ?2719)) =>= ?2717 [2719, 2718, 2717] by Super 102 with 9 at 2,2,2
% 4.28/1.39 Id : 1818, {_}: join ?2766 (join (meet2 ?2766 ?2767) (meet2 ?2766 ?2768)) =>= ?2766 [2768, 2767, 2766] by Super 1804 with 9 at 1,2,2
% 4.28/1.39 Id : 15311, {_}: meet (join (meet2 ?19579 ?19580) (meet2 ?19579 ?19580)) (meet ?19580 ?19579) =>= join (meet2 ?19579 ?19580) (meet2 ?19579 ?19580) [19580, 19579] by Super 100 with 1818 at 2,2,2
% 4.28/1.39 Id : 15385, {_}: meet (meet ?19580 ?19579) (join (meet2 ?19579 ?19580) (meet2 ?19579 ?19580)) =>= join (meet2 ?19579 ?19580) (meet2 ?19579 ?19580) [19579, 19580] by Demod 15311 with 4 at 2
% 4.28/1.39 Id : 15386, {_}: meet (meet ?19580 ?19579) (join (meet2 ?19579 ?19580) (meet2 ?19579 ?19580)) =>= meet2 ?19579 ?19580 [19579, 19580] by Demod 15385 with 3 at 3
% 4.28/1.39 Id : 15387, {_}: meet (meet ?19580 ?19579) (meet2 ?19579 ?19580) =>= meet2 ?19579 ?19580 [19579, 19580] by Demod 15386 with 3 at 2,2
% 4.28/1.39 Id : 28, {_}: meet ?75 (meet (join ?76 ?75) (join ?77 ?75)) =>= ?75 [77, 76, 75] by Demod 6 with 4 at 2
% 4.28/1.39 Id : 35, {_}: meet ?101 (join ?102 ?101) =>= ?101 [102, 101] by Super 28 with 2 at 2,2
% 4.28/1.39 Id : 111, {_}: join ?309 (meet2 ?310 ?309) =>= ?309 [310, 309] by Super 102 with 3 at 2,2
% 4.28/1.39 Id : 224, {_}: meet (meet2 ?524 ?525) ?525 =>= meet2 ?524 ?525 [525, 524] by Super 35 with 111 at 2,2
% 4.28/1.39 Id : 243, {_}: meet ?525 (meet2 ?524 ?525) =>= meet2 ?524 ?525 [524, 525] by Demod 224 with 4 at 2
% 4.28/1.39 Id : 77, {_}: meet2 ?200 (meet2 (join ?201 ?200) (join ?202 ?200)) =>= ?200 [202, 201, 200] by Demod 10 with 9 at 2
% 4.28/1.39 Id : 44, {_}: join ?17 (join (meet ?16 ?17) (meet ?18 ?17)) =>= ?17 [18, 16, 17] by Demod 7 with 5 at 2
% 4.28/1.39 Id : 84, {_}: meet2 (join (meet ?227 ?228) (meet ?229 ?228)) (meet2 ?228 (join ?230 (join (meet ?227 ?228) (meet ?229 ?228)))) =>= join (meet ?227 ?228) (meet ?229 ?228) [230, 229, 228, 227] by Super 77 with 44 at 1,2,2
% 4.28/1.39 Id : 48, {_}: join ?128 (join (meet ?129 ?128) (meet ?130 ?128)) =>= ?128 [130, 129, 128] by Demod 7 with 5 at 2
% 4.28/1.39 Id : 1256, {_}: join ?1915 (join (meet ?1916 ?1915) (meet ?1915 ?1917)) =>= ?1915 [1917, 1916, 1915] by Super 48 with 4 at 2,2,2
% 4.28/1.39 Id : 1270, {_}: join ?1965 (join (meet ?1965 ?1966) (meet ?1965 ?1967)) =>= ?1965 [1967, 1966, 1965] by Super 1256 with 4 at 1,2,2
% 4.28/1.39 Id : 6481, {_}: meet2 (join (meet ?8917 ?8918) (meet ?8917 ?8918)) (meet2 ?8918 ?8917) =>= join (meet ?8917 ?8918) (meet ?8917 ?8918) [8918, 8917] by Super 84 with 1270 at 2,2,2
% 4.28/1.39 Id : 6658, {_}: meet2 (meet2 ?8918 ?8917) (join (meet ?8917 ?8918) (meet ?8917 ?8918)) =>= join (meet ?8917 ?8918) (meet ?8917 ?8918) [8917, 8918] by Demod 6481 with 9 at 2
% 4.28/1.39 Id : 6659, {_}: meet2 (meet2 ?8918 ?8917) (join (meet ?8917 ?8918) (meet ?8917 ?8918)) =>= meet ?8917 ?8918 [8917, 8918] by Demod 6658 with 3 at 3
% 4.28/1.39 Id : 6660, {_}: meet2 (meet2 ?8918 ?8917) (meet ?8917 ?8918) =>= meet ?8917 ?8918 [8917, 8918] by Demod 6659 with 3 at 2,2
% 4.28/1.39 Id : 6661, {_}: meet2 (meet ?8917 ?8918) (meet2 ?8918 ?8917) =>= meet ?8917 ?8918 [8918, 8917] by Demod 6660 with 9 at 2
% 4.28/1.39 Id : 7089, {_}: meet (meet2 ?9561 ?9562) (meet ?9562 ?9561) =<= meet2 (meet ?9562 ?9561) (meet2 ?9561 ?9562) [9562, 9561] by Super 243 with 6661 at 2,2
% 4.28/1.39 Id : 7156, {_}: meet (meet ?9562 ?9561) (meet2 ?9561 ?9562) =<= meet2 (meet ?9562 ?9561) (meet2 ?9561 ?9562) [9561, 9562] by Demod 7089 with 4 at 2
% 4.28/1.39 Id : 7157, {_}: meet (meet ?9562 ?9561) (meet2 ?9561 ?9562) =>= meet ?9562 ?9561 [9561, 9562] by Demod 7156 with 6661 at 3
% 4.28/1.39 Id : 15388, {_}: meet ?19580 ?19579 =<= meet2 ?19579 ?19580 [19579, 19580] by Demod 15387 with 7157 at 2
% 4.28/1.39 Id : 15752, {_}: meet a b =?= meet a b [] by Demod 15751 with 4 at 3
% 4.28/1.39 Id : 15751, {_}: meet a b =<= meet b a [] by Demod 1 with 15388 at 3
% 4.28/1.39 Id : 1, {_}: meet a b =<= meet2 a b [] by name
% 4.28/1.39 % SZS output end CNFRefutation for theBenchmark.p
% 4.28/1.39 13836: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 1.050483 using kbo
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