TSTP Solution File: LAT222-10 by Matita---1.0
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% File : Matita---1.0
% Problem : LAT222-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% Computer : n032.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 05:56:36 EDT 2022
% Result : Timeout 300.06s 75.28s
% Output : None
% Verified :
% SZS Type : -
% Comments :
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%----No solution output by system
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%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.08 % Problem : LAT222-10 : TPTP v8.1.0. Released v7.3.0.
% 0.02/0.09 % Command : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.08/0.27 % Computer : n032.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % WCLimit : 600
% 0.08/0.27 % DateTime : Wed Jun 29 02:27:13 EDT 2022
% 0.08/0.27 % CPUTime :
% 0.08/0.28 19137: Facts:
% 0.08/0.28 19137: Id : 2, {_}: ifeq ?2 ?2 ?3 ?4 =>= ?3 [4, 3, 2] by ifeq_axiom ?2 ?3 ?4
% 0.08/0.28 19137: Id : 3, {_}: meet ?6 ?6 =>= ?6 [6] by idempotence_of_meet ?6
% 0.08/0.28 19137: Id : 4, {_}: join ?8 ?8 =>= ?8 [8] by idempotence_of_join ?8
% 0.08/0.28 19137: Id : 5, {_}: meet ?10 (join ?10 ?11) =>= ?10 [11, 10] by absorption1 ?10 ?11
% 0.08/0.28 19137: Id : 6, {_}: join ?13 (meet ?13 ?14) =>= ?13 [14, 13] by absorption2 ?13 ?14
% 0.08/0.28 19137: Id : 7, {_}:
% 0.08/0.28 meet ?16 ?17 =?= meet ?17 ?16
% 0.08/0.28 [17, 16] by commutativity_of_meet ?16 ?17
% 0.08/0.28 19137: Id : 8, {_}:
% 0.08/0.28 join ?19 ?20 =?= join ?20 ?19
% 0.08/0.28 [20, 19] by commutativity_of_join ?19 ?20
% 0.08/0.28 19137: Id : 9, {_}:
% 0.08/0.28 meet (meet ?22 ?23) ?24 =?= meet ?22 (meet ?23 ?24)
% 0.08/0.28 [24, 23, 22] by associativity_of_meet ?22 ?23 ?24
% 0.08/0.28 19137: Id : 10, {_}:
% 0.08/0.28 join (join ?26 ?27) ?28 =?= join ?26 (join ?27 ?28)
% 0.08/0.28 [28, 27, 26] by associativity_of_join ?26 ?27 ?28
% 0.08/0.28 19137: Id : 11, {_}: join ?30 (complement ?30) =>= one [30] by complement_join ?30
% 0.08/0.28 19137: Id : 12, {_}: meet ?32 (complement ?32) =>= zero [32] by complement_meet ?32
% 0.08/0.28 19137: Id : 13, {_}:
% 0.08/0.28 ifeq (join ?34 ?35) one
% 0.08/0.28 (ifeq (meet ?34 ?35) zero (complement ?34) ?35) ?35
% 0.08/0.28 =>=
% 0.08/0.28 ?35
% 0.08/0.28 [35, 34] by meet_join_complement ?34 ?35
% 0.08/0.28 19137: Id : 14, {_}:
% 0.08/0.28 meet ?37 (join ?38 (meet ?37 ?39))
% 0.08/0.28 =<=
% 0.08/0.28 meet ?37
% 0.08/0.28 (join (meet ?37 (join ?38 (meet ?37 ?39)))
% 0.08/0.28 (meet ?39 (join ?37 ?38)))
% 0.08/0.28 [39, 38, 37] by equation_H6 ?37 ?38 ?39
% 0.08/0.28 19137: Id : 15, {_}: meet b a =>= a [] by prove_distributivity_hypothesis
% 0.08/0.28 19137: Goal:
% 0.08/0.28 19137: Id : 1, {_}:
% 0.08/0.28 join (complement b) (complement a) =>= complement a
% 0.08/0.28 [] by prove_distributivity
% 300.06/75.28 % SZS status Timeout for theBenchmark.p
% 300.06/75.28 % SZS status Timeout for theBenchmark.p
% 300.06/75.28 % SZS status Timeout for theBenchmark.p
% 300.06/75.28 % SZS status Timeout for theBenchmark.p
% 300.06/75.28 % SZS status Timeout for theBenchmark.p
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