TSTP Solution File: LAT045-1 by Matita---1.0
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% File : Matita---1.0
% Problem : LAT045-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n027.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 05:55:46 EDT 2022
% Result : Unsatisfiable 0.11s 0.35s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : LAT045-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.11/0.32 % Computer : n027.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Wed Jun 29 21:25:50 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.11/0.33 2031: Facts:
% 0.11/0.33 2031: Id : 2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
% 0.11/0.33 2031: Id : 3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
% 0.11/0.33 2031: Id : 4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
% 0.11/0.33 2031: Id : 5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
% 0.11/0.33 2031: Id : 6, {_}:
% 0.11/0.33 meet ?12 ?13 =?= meet ?13 ?12
% 0.11/0.33 [13, 12] by commutativity_of_meet ?12 ?13
% 0.11/0.33 2031: Id : 7, {_}:
% 0.11/0.33 join ?15 ?16 =?= join ?16 ?15
% 0.11/0.33 [16, 15] by commutativity_of_join ?15 ?16
% 0.11/0.33 2031: Id : 8, {_}:
% 0.11/0.33 meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
% 0.11/0.33 [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
% 0.11/0.33 2031: Id : 9, {_}:
% 0.11/0.33 join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
% 0.11/0.33 [24, 23, 22] by associativity_of_join ?22 ?23 ?24
% 0.11/0.33 2031: Id : 10, {_}:
% 0.11/0.33 complement (join ?26 ?27) =<= meet (complement ?26) (complement ?27)
% 0.11/0.33 [27, 26] by compatibility1 ?26 ?27
% 0.11/0.33 2031: Id : 11, {_}:
% 0.11/0.33 complement (meet ?29 ?30) =<= join (complement ?29) (complement ?30)
% 0.11/0.33 [30, 29] by compatibility2 ?29 ?30
% 0.11/0.33 2031: Id : 12, {_}: join (complement ?32) ?32 =>= n1 [32] by invertability1 ?32
% 0.11/0.33 2031: Id : 13, {_}: meet (complement ?34) ?34 =>= n0 [34] by invertability2 ?34
% 0.11/0.33 2031: Id : 14, {_}: complement (complement ?36) =>= ?36 [36] by invertability3 ?36
% 0.11/0.33 2031: Id : 15, {_}:
% 0.11/0.33 join ?38 (meet ?39 (join ?38 ?40))
% 0.11/0.33 =>=
% 0.11/0.33 meet (join ?38 ?39) (join ?38 ?40)
% 0.11/0.33 [40, 39, 38] by modular_law ?38 ?39 ?40
% 0.11/0.33 2031: Goal:
% 0.11/0.33 2031: Id : 1, {_}:
% 0.11/0.33 join a (meet (complement a) (join a b)) =>= join a b
% 0.11/0.33 [] by prove_orthomodular_law
% 0.11/0.35 Statistics :
% 0.11/0.35 Max weight : 11
% 0.11/0.35 Found proof, 0.016406s
% 0.11/0.35 % SZS status Unsatisfiable for theBenchmark.p
% 0.11/0.35 % SZS output start CNFRefutation for theBenchmark.p
% 0.11/0.35 Id : 14, {_}: complement (complement ?36) =>= ?36 [36] by invertability3 ?36
% 0.11/0.35 Id : 4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
% 0.11/0.35 Id : 12, {_}: join (complement ?32) ?32 =>= n1 [32] by invertability1 ?32
% 0.11/0.35 Id : 6, {_}: meet ?12 ?13 =?= meet ?13 ?12 [13, 12] by commutativity_of_meet ?12 ?13
% 0.11/0.35 Id : 7, {_}: join ?15 ?16 =?= join ?16 ?15 [16, 15] by commutativity_of_join ?15 ?16
% 0.11/0.35 Id : 15, {_}: join ?38 (meet ?39 (join ?38 ?40)) =>= meet (join ?38 ?39) (join ?38 ?40) [40, 39, 38] by modular_law ?38 ?39 ?40
% 0.11/0.35 Id : 157, {_}: join ?458 (complement ?458) =>= n1 [458] by Super 7 with 12 at 3
% 0.11/0.35 Id : 156, {_}: meet (complement ?456) n1 =>= complement ?456 [456] by Super 4 with 12 at 2,2
% 0.11/0.35 Id : 302, {_}: meet n1 (complement ?698) =>= complement ?698 [698] by Demod 156 with 6 at 2
% 0.11/0.35 Id : 303, {_}: meet n1 ?700 =<= complement (complement ?700) [700] by Super 302 with 14 at 2,2
% 0.11/0.35 Id : 309, {_}: meet n1 ?700 =>= ?700 [700] by Demod 303 with 14 at 3
% 0.11/0.35 Id : 634, {_}: join b a === join b a [] by Demod 633 with 309 at 2
% 0.11/0.35 Id : 633, {_}: meet n1 (join b a) =>= join b a [] by Demod 632 with 6 at 2
% 0.11/0.35 Id : 632, {_}: meet (join b a) n1 =>= join b a [] by Demod 244 with 157 at 2,2
% 0.11/0.35 Id : 244, {_}: meet (join b a) (join a (complement a)) =>= join b a [] by Demod 243 with 7 at 1,2
% 0.11/0.35 Id : 243, {_}: meet (join a b) (join a (complement a)) =>= join b a [] by Demod 242 with 6 at 2
% 0.11/0.35 Id : 242, {_}: meet (join a (complement a)) (join a b) =>= join b a [] by Demod 241 with 7 at 3
% 0.11/0.35 Id : 241, {_}: meet (join a (complement a)) (join a b) =>= join a b [] by Demod 1 with 15 at 2
% 0.11/0.35 Id : 1, {_}: join a (meet (complement a) (join a b)) =>= join a b [] by prove_orthomodular_law
% 0.11/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.35 2034: solved /export/starexec/sandbox/benchmark/theBenchmark.p in 0.017664 using nrkbo
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