TSTP Solution File: LAT040-1 by Matita---1.0
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% File : Matita---1.0
% Problem : LAT040-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n021.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 05:55:44 EDT 2022
% Result : Unsatisfiable 0.19s 0.56s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LAT040-1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.13 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 29 17:31:27 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 31749: Facts:
% 0.13/0.34 31749: Id : 2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
% 0.13/0.34 31749: Id : 3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
% 0.13/0.34 31749: Id : 4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
% 0.13/0.34 31749: Id : 5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
% 0.13/0.34 31749: Id : 6, {_}:
% 0.13/0.34 meet ?12 ?13 =?= meet ?13 ?12
% 0.13/0.34 [13, 12] by commutativity_of_meet ?12 ?13
% 0.13/0.34 31749: Id : 7, {_}:
% 0.13/0.34 join ?15 ?16 =?= join ?16 ?15
% 0.13/0.34 [16, 15] by commutativity_of_join ?15 ?16
% 0.13/0.34 31749: Id : 8, {_}:
% 0.13/0.34 meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
% 0.13/0.34 [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
% 0.13/0.34 31749: Id : 9, {_}:
% 0.13/0.34 join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
% 0.13/0.34 [24, 23, 22] by associativity_of_join ?22 ?23 ?24
% 0.13/0.34 31749: Id : 10, {_}:
% 0.13/0.34 join ?26 (meet ?27 ?28) =<= meet (join ?26 ?27) (join ?26 ?28)
% 0.13/0.34 [28, 27, 26] by dist_join ?26 ?27 ?28
% 0.13/0.34 31749: Id : 11, {_}:
% 0.13/0.34 meet ?30 (join ?31 ?32) =<= join (meet ?30 ?31) (meet ?30 ?32)
% 0.13/0.34 [32, 31, 30] by dist_meet ?30 ?31 ?32
% 0.13/0.34 31749: Id : 12, {_}: join xx yy =<= join xx zz [] by lhs1
% 0.13/0.34 31749: Id : 13, {_}: meet xx yy =<= meet xx zz [] by lhs2
% 0.13/0.34 31749: Goal:
% 0.13/0.34 31749: Id : 1, {_}: yy =<= zz [] by rhs
% 0.19/0.56 Statistics :
% 0.19/0.56 Max weight : 11
% 0.19/0.56 Found proof, 0.224508s
% 0.19/0.56 % SZS status Unsatisfiable for theBenchmark.p
% 0.19/0.56 % SZS output start CNFRefutation for theBenchmark.p
% 0.19/0.56 Id : 13, {_}: meet xx yy =?= meet xx zz [] by lhs2
% 0.19/0.56 Id : 7, {_}: join ?15 ?16 =?= join ?16 ?15 [16, 15] by commutativity_of_join ?15 ?16
% 0.19/0.56 Id : 12, {_}: join xx yy =?= join xx zz [] by lhs1
% 0.19/0.56 Id : 4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
% 0.19/0.56 Id : 6, {_}: meet ?12 ?13 =?= meet ?13 ?12 [13, 12] by commutativity_of_meet ?12 ?13
% 0.19/0.56 Id : 5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
% 0.19/0.56 Id : 10, {_}: join ?26 (meet ?27 ?28) =<= meet (join ?26 ?27) (join ?26 ?28) [28, 27, 26] by dist_join ?26 ?27 ?28
% 0.19/0.56 Id : 30, {_}: join ?62 (meet ?63 ?62) =>= ?62 [63, 62] by Super 5 with 6 at 2,2
% 0.19/0.56 Id : 190, {_}: join yy xx =<= join xx zz [] by Demod 12 with 7 at 2
% 0.19/0.56 Id : 191, {_}: join yy xx =<= join zz xx [] by Demod 190 with 7 at 3
% 0.19/0.56 Id : 194, {_}: meet zz (join yy xx) =>= zz [] by Super 4 with 191 at 2,2
% 0.19/0.56 Id : 264, {_}: join (join yy xx) zz =>= join yy xx [] by Super 30 with 194 at 2,2
% 0.19/0.56 Id : 281, {_}: join zz (join yy xx) =>= join yy xx [] by Demod 264 with 7 at 2
% 0.19/0.56 Id : 365, {_}: join zz (meet ?606 (join yy xx)) =>= meet (join zz ?606) (join yy xx) [606] by Super 10 with 281 at 2,3
% 0.19/0.56 Id : 383, {_}: join zz (meet ?606 (join yy xx)) =>= meet (join yy xx) (join zz ?606) [606] by Demod 365 with 6 at 3
% 0.19/0.56 Id : 196, {_}: join zz (meet xx ?418) =<= meet (join yy xx) (join zz ?418) [418] by Super 10 with 191 at 1,3
% 0.19/0.56 Id : 3203, {_}: join zz (meet ?3370 (join yy xx)) =>= join zz (meet xx ?3370) [3370] by Demod 383 with 196 at 3
% 0.19/0.56 Id : 3211, {_}: join zz yy =<= join zz (meet xx yy) [] by Super 3203 with 4 at 2,2
% 0.19/0.56 Id : 3271, {_}: join yy zz =<= join zz (meet xx yy) [] by Demod 3211 with 7 at 2
% 0.19/0.56 Id : 3272, {_}: join yy zz =<= join zz (meet yy xx) [] by Demod 3271 with 6 at 2,3
% 0.19/0.56 Id : 203, {_}: meet yy xx =<= meet xx zz [] by Demod 13 with 6 at 2
% 0.19/0.56 Id : 204, {_}: meet yy xx =<= meet zz xx [] by Demod 203 with 6 at 3
% 0.19/0.56 Id : 207, {_}: join zz (meet yy xx) =>= zz [] by Super 5 with 204 at 2,2
% 0.19/0.56 Id : 3273, {_}: join yy zz =>= zz [] by Demod 3272 with 207 at 3
% 0.19/0.56 Id : 3460, {_}: join yy (meet zz ?3543) =>= meet zz (join yy ?3543) [3543] by Super 10 with 3273 at 1,3
% 0.19/0.56 Id : 3478, {_}: join yy (meet yy xx) =>= meet zz (join yy xx) [] by Super 3460 with 204 at 2,2
% 0.19/0.56 Id : 3527, {_}: yy =<= meet zz (join yy xx) [] by Demod 3478 with 5 at 2
% 0.19/0.56 Id : 3528, {_}: yy =<= zz [] by Demod 3527 with 194 at 3
% 0.19/0.56 Id : 3598, {_}: yy =?= yy [] by Demod 1 with 3528 at 3
% 0.19/0.56 Id : 1, {_}: yy =<= zz [] by rhs
% 0.19/0.56 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.56 31750: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.226311 using kbo
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