TSTP Solution File: LAT206-10 by Matita---1.0
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% File : Matita---1.0
% Problem : LAT206-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% Computer : n005.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 05:56:31 EDT 2022
% Result : Timeout 300.21s 75.38s
% Output : None
% Verified :
% SZS Type : -
% Comments :
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%----No solution output by system
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LAT206-10 : TPTP v8.1.0. Released v7.5.0.
% 0.10/0.12 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox/benchmark %s
% 0.12/0.33 % Computer : n005.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 04:59:37 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 7761: Facts:
% 0.12/0.34 7761: Id : 2, {_}: ifeq ?2 ?2 ?3 ?4 =>= ?3 [4, 3, 2] by ifeq_axiom ?2 ?3 ?4
% 0.12/0.34 7761: Id : 3, {_}: meet ?6 ?6 =>= ?6 [6] by idempotence_of_meet ?6
% 0.12/0.34 7761: Id : 4, {_}: join ?8 ?8 =>= ?8 [8] by idempotence_of_join ?8
% 0.12/0.34 7761: Id : 5, {_}: meet ?10 (join ?10 ?11) =>= ?10 [11, 10] by absorption1 ?10 ?11
% 0.12/0.34 7761: Id : 6, {_}: join ?13 (meet ?13 ?14) =>= ?13 [14, 13] by absorption2 ?13 ?14
% 0.12/0.34 7761: Id : 7, {_}:
% 0.12/0.34 meet ?16 ?17 =?= meet ?17 ?16
% 0.12/0.34 [17, 16] by commutativity_of_meet ?16 ?17
% 0.12/0.34 7761: Id : 8, {_}:
% 0.12/0.34 join ?19 ?20 =?= join ?20 ?19
% 0.12/0.34 [20, 19] by commutativity_of_join ?19 ?20
% 0.12/0.34 7761: Id : 9, {_}:
% 0.12/0.34 meet (meet ?22 ?23) ?24 =?= meet ?22 (meet ?23 ?24)
% 0.12/0.34 [24, 23, 22] by associativity_of_meet ?22 ?23 ?24
% 0.12/0.34 7761: Id : 10, {_}:
% 0.12/0.34 join (join ?26 ?27) ?28 =?= join ?26 (join ?27 ?28)
% 0.12/0.34 [28, 27, 26] by associativity_of_join ?26 ?27 ?28
% 0.12/0.34 7761: Id : 11, {_}: join ?30 (complement ?30) =>= one [30] by complement_join ?30
% 0.12/0.34 7761: Id : 12, {_}: meet ?32 (complement ?32) =>= zero [32] by complement_meet ?32
% 0.12/0.34 7761: Id : 13, {_}:
% 0.12/0.34 ifeq (join ?34 ?35) one
% 0.12/0.34 (ifeq (meet ?34 ?35) zero (complement ?34) ?35) ?35
% 0.12/0.34 =>=
% 0.12/0.34 ?35
% 0.12/0.34 [35, 34] by meet_join_complement ?34 ?35
% 0.12/0.34 7761: Id : 14, {_}:
% 0.12/0.34 meet ?37 (meet (join ?38 ?39) (join ?38 ?40))
% 0.12/0.34 =<=
% 0.12/0.34 meet ?37 (join ?38 (meet (join ?38 ?39) (join ?40 (meet ?37 ?38))))
% 0.12/0.34 [40, 39, 38, 37] by equation_H60 ?37 ?38 ?39 ?40
% 0.12/0.34 7761: Goal:
% 0.12/0.34 7761: Id : 1, {_}:
% 0.12/0.34 meet a (join b c) =<= join (meet a b) (meet a c)
% 0.12/0.34 [] by prove_distributivity
% 300.21/75.38 % SZS status Timeout for theBenchmark.p
% 300.21/75.38 % SZS status Timeout for theBenchmark.p
% 300.21/75.38 % SZS status Timeout for theBenchmark.p
% 300.21/75.39 % SZS status Timeout for theBenchmark.p
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