%------------------------------------------------------------------------------
% File     : Matita---1.0
% Problem  : LAT039-2 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s

% Computer : n007.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 0.34s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LAT039-2 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.12  % Command  : matitaprover --timeout %d --tptppath /export/starexec/sandbox2/benchmark %s
% 0.12/0.33  % Computer : n007.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 : Thu Jun 30 14:26:08 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  5575: Facts:
% 0.12/0.34  5575:  Id :   2, {_}: meet ?2 ?2 =>= ?2 [2] by idempotence_of_meet ?2
% 0.12/0.34  5575:  Id :   3, {_}: join ?4 ?4 =>= ?4 [4] by idempotence_of_join ?4
% 0.12/0.34  5575:  Id :   4, {_}: meet ?6 (join ?6 ?7) =>= ?6 [7, 6] by absorption1 ?6 ?7
% 0.12/0.34  5575:  Id :   5, {_}: join ?9 (meet ?9 ?10) =>= ?9 [10, 9] by absorption2 ?9 ?10
% 0.12/0.34  5575:  Id :   6, {_}:
% 0.12/0.34            meet ?12 ?13 =?= meet ?13 ?12
% 0.12/0.34            [13, 12] by commutativity_of_meet ?12 ?13
% 0.12/0.34  5575:  Id :   7, {_}:
% 0.12/0.34            join ?15 ?16 =?= join ?16 ?15
% 0.12/0.34            [16, 15] by commutativity_of_join ?15 ?16
% 0.12/0.34  5575:  Id :   8, {_}:
% 0.12/0.34            meet (meet ?18 ?19) ?20 =?= meet ?18 (meet ?19 ?20)
% 0.12/0.34            [20, 19, 18] by associativity_of_meet ?18 ?19 ?20
% 0.12/0.34  5575:  Id :   9, {_}:
% 0.12/0.34            join (join ?22 ?23) ?24 =?= join ?22 (join ?23 ?24)
% 0.12/0.34            [24, 23, 22] by associativity_of_join ?22 ?23 ?24
% 0.12/0.34  5575:  Id :  10, {_}:
% 0.12/0.34            join ?26 (meet ?27 ?28) =<= meet (join ?26 ?27) (join ?26 ?28)
% 0.12/0.34            [28, 27, 26] by dist_join ?26 ?27 ?28
% 0.12/0.34  5575:  Id :  11, {_}:
% 0.12/0.34            meet ?30 (join ?31 ?32) =<= join (meet ?30 ?31) (meet ?30 ?32)
% 0.12/0.34            [32, 31, 30] by dist_meet ?30 ?31 ?32
% 0.12/0.34  5575:  Id :  12, {_}: join xx yy =>= yy [] by lhs
% 0.12/0.34  5575: Goal:
% 0.12/0.34  5575:  Id :   1, {_}:
% 0.12/0.34            join xx (meet yy zz) =<= meet (join xx yy) (join xx zz)
% 0.12/0.34            [] by rhs
% 0.19/0.34  Statistics :
% 0.19/0.34  Max weight : 11
% 0.19/0.34  Found proof, 0.008885s
% 0.19/0.34  % SZS status Unsatisfiable for theBenchmark.p
% 0.19/0.34  % SZS output start CNFRefutation for theBenchmark.p
% 0.19/0.34  Id :  10, {_}: join ?26 (meet ?27 ?28) =<= meet (join ?26 ?27) (join ?26 ?28) [28, 27, 26] by dist_join ?26 ?27 ?28
% 0.19/0.34  Id : 135, {_}: join xx (meet yy zz) =?= join xx (meet yy zz) [] by Demod 1 with 10 at 3
% 0.19/0.34  Id :   1, {_}: join xx (meet yy zz) =<= meet (join xx yy) (join xx zz) [] by rhs
% 0.19/0.34  % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.34  5576: solved /export/starexec/sandbox2/benchmark/theBenchmark.p in 0.010161 using kbo
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