%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : LAT026-1 : TPTP v6.0.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n120.star.cs.uiowa.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory   : 32286.75MB
% OS       : Linux 2.6.32-431.11.2.el6.x86_64
% CPULimit : 300s
% DateTime : Tue Jun 10 00:26:09 EDT 2014

% Result   : Timeout 300.05s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : LAT026-1 : TPTP v6.0.0. Released v2.2.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n120.star.cs.uiowa.edu
% % Model    : x86_64 x86_64
% % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory   : 32286.75MB
% % OS       : Linux 2.6.32-431.11.2.el6.x86_64
% % CPULimit : 300
% % DateTime : Thu Jun  5 16:43:38 CDT 2014
% % CPUTime  : 300.05 
% Processing problem /tmp/CiME_44215_n120.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " join,meet : infix commutative; c,b,a : constant;";
% let X = vars "X Y Z";
% let Axioms = equations F X "
% X meet X = X;
% X join X = X;
% ((X join Y) meet (Z join Y)) meet Y = Y;
% ((X meet Y) join (Z meet Y)) join Y = Y;
% X meet (Y join (X join Z)) = X;
% ";
% 
% let s1 = status F "
% c lr_lex;
% b lr_lex;
% a lr_lex;
% join mul;
% meet mul;
% ";
% 
% let p1 = precedence F "
% meet > join > a > b > c";
% 
% let s2 = status F "
% c mul;
% b mul;
% a mul;
% join mul;
% meet mul;
% ";
% 
% let p2 = precedence F "
% meet > join > a = b = c";
% 
% let o_auto = AUTO Axioms;
% 
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 
% let Conjectures = equations F X " (a meet b) meet c = a meet (b meet c);"
% ;
% (*
% let Red_Axioms = normalize_equations Defining_rules Axioms;
% 
% let Red_Conjectures =  normalize_equations Defining_rules Conjectures;
% *)
% #time on;
% 
% let res = prove_conj_by_ordered_completion o Axioms Conjectures;
% 
% #time off;
% 
% 
% let status = if res then "unsatisfiable" else "satisfiable";
% #quit;
% Verbose level is now 1
% 
% F : signature = <signature>
% X : variable_set = <variable set>
% 
% Axioms : (F,X) equations = { X meet X = X,
% X join X = X,
% ((X join Y) meet (Y join Z)) meet Y = Y,
% ((X meet Y) join (Y meet Z)) join Y = Y,
% ((X join Z) join Y) meet X = X } (5 equation(s))
% s1 : F status = <status>
% p1 : F precedence = <precedence>
% s2 : F status = <status>
% p2 : F precedence = <precedence>
% o_auto : F term_ordering = <term ordering>
% o : F term_ordering = <term ordering>
% Conjectures : (F,X) equations = { (b meet a) meet c = (c meet b) meet a }
% (1 equation(s))
% time is now on
% 
% Initializing completion ...
% New rule produced : [1] X join X -> X
% Current number of equations to process: 0
% Current number of ordered equations: 4
% Current number of rules: 1
% New rule produced : [2] X meet X -> X
% Current number of equations to process: 0
% Current number of ordered equations: 3
% Current number of rules: 2
% New rule produced : [3] ((X join Z) join Y) meet X -> X
% Current number of equations to process: 0
% Current number of ordered equations: 2
% Current number of rules: 3
% New rule produced : [4] ((X meet Y) join (Y meet Z)) join Y -> Y
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 4
% New rule produced : [5] ((X join Y) meet (Y join Z)) meet Y -> Y
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced : [6] (X join Y) meet X -> X
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced : [7] (X meet Y) join Y -> Y
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced : [8] (X meet Y) meet X -> X meet Y
% Current number of equations to process: 2
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced : [9] (X join Y) join X -> X join Y
% Current number of equations to process: 12
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced : [10] (X join Y) meet (Y meet Z) -> Y meet Z
% Current number of equations to process: 11
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced : [11] (X join Y) join (Y meet Z) -> X join Y
% Current number of equations to process: 17
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced : [12] ((X meet Y) meet Z) join Y -> Y
% Current number of equations to process: 24
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced : [13] ((X join Y) join Z) join X -> (X join Y) join Z
% Current number of equations to process: 33
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced : [14] (((X join Y) join Z) join V_3) meet X -> X
% Current number of equations to process: 40
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced : [15] ((X meet Y) meet Z) meet Y -> (X meet Y) meet Z
% Current number of equations to process: 48
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced : [16] (((X meet Y) meet Z) meet V_3) join X -> X
% Current number of equations to process: 52
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced : [17] ((X join Y) join Z) meet (Y meet V_3) -> Y meet V_3
% Current number of equations to process: 62
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced : [18] (X join Y) join ((Y meet Z) meet V_3) -> X join Y
% Current number of equations to process: 78
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced : [19] (((X join Y) meet (Y join Z)) join V_3) meet Y -> Y
% Current number of equations to process: 87
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced : [20] (((X meet Y) join (Y meet Z)) meet V_3) join Y -> Y
% Current number of equations to process: 103
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [21] ((X join Y) join Z) join (Y meet V_3) -> (X join Y) join Z
% Current number of equations to process: 122
% Current number of ordered equations: 1
% Current number of rules: 21
% New rule produced :
% [22] (X join Y) meet ((Y meet Z) meet V_3) -> (Y meet Z) meet V_3
% Current number of equations to process: 141
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced : [23] (((X join Y) join Z) meet (X join V_3)) meet X -> X
% Current number of equations to process: 164
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [24] ((((X join Y) join Z) join V_3) join V_4) meet X -> X
% Current number of equations to process: 194
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced : [25] (((X meet Y) meet Z) join (Y meet V_3)) join Y -> Y
% Current number of equations to process: 213
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [26] ((((X meet Y) meet Z) meet V_3) meet V_4) join X -> X
% Current number of equations to process: 257
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [27] ((X meet Y) join (Y meet Z)) meet Y -> (X meet Y) join (Y meet Z)
% Current number of equations to process: 276
% Current number of ordered equations: 1
% Current number of rules: 27
% New rule produced :
% [28] (((X join Y) meet Z) join X) join (X join Y) -> X join Y
% Current number of equations to process: 276
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced : [29] ((X meet Y) join Z) join (X join Z) -> X join Z
% Current number of equations to process: 321
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [30] ((X join Y) join Z) join (X join Z) -> (X join Y) join Z
% Current number of equations to process: 330
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced : [31] (X join Y) join (X join Z) -> (X join Z) join Y
% Rule [28] (((X join Y) meet Z) join X) join (X join Y) -> X join Y collapsed.
% Rule [29] ((X meet Y) join Z) join (X join Z) -> X join Z collapsed.
% Rule [30] ((X join Y) join Z) join (X join Z) -> (X join Y) join Z collapsed.
% Current number of equations to process: 396
% Current number of ordered equations: 0
% Current number of rules: 28
% (X join Y) join Z = (X join Z) join Y (birth = 460, lhs_size = 5, rhs_size = 5,trace = Cp of 28 and 3)
% Initializing completion ...
% New rule produced : [1] X <-> X join X
% Current number of equations to process: 287
% Current number of ordered equations: 51
% Current number of rules: 1
% New rule produced : [2] X <-> X meet X
% Current number of equations to process: 287
% Current number of ordered equations: 50
% Current number of rules: 2
% New rule produced : [3] X join X <-> X
% Current number of equations to process: 287
% Current number of ordered equations: 47
% Current number of rules: 3
% New rule produced : [4] X meet X <-> X
% Current number of equations to process: 287
% Current number of ordered equations: 46
% Current number of rules: 4
% New rule produced : [5] X <-> (X join Y) meet X
% Current number of equations to process: 298
% Current number of ordered equations: 44
% Current number of rules: 5
% New rule produced : [6] Y <-> (X meet Y) join Y
% Current number of equations to process: 298
% Current number of ordered equations: 43
% Current number of rules: 6
% New rule produced : [7] (X meet Y) join Y <-> Y
% Current number of equations to process: 298
% Current number of ordered equations: 42
% Current number of rules: 7
% New rule produced : [8] (X join Y) meet X <-> X
% Current number of equations to process: 298
% Current number of ordered equations: 38
% Current number of rules: 8
% New rule produced : [9] X meet Y <-> (X meet Y) meet X
% Current number of equations to process: 436
% Current number of ordered equations: 37
% Current number of rules: 9
% New rule produced : [10] (X meet Y) meet X <-> X meet Y
% Current number of equations to process: 436
% Current number of ordered equations: 36
% Current number of rules: 10
% New rule produced : [11] Y <-> ((X meet Y) meet Z) join Y
% Current number of equations to process: 450
% Current number of ordered equations: 53
% Current number of rules: 11
% New rule produced : [12] ((X meet Y) meet Z) join Y <-> Y
% Current number of equations to process: 450
% Current number of ordered equations: 52
% Current number of rules: 12
% New rule produced : [13] X join Y <-> (Y meet Z) join X join Y
% Current number of equations to process: 611
% Current number of ordered equations: 72
% Current number of rules: 13
% New rule produced : [14] Y meet Z <-> (X join Y) meet (Y meet Z)
% Current number of equations to process: 611
% Current number of ordered equations: 70
% Current number of rules: 14
% New rule produced : [15] (X join Y) meet (Y meet Z) <-> Y meet Z
% Current number of equations to process: 611
% Current number of ordered equations: 68
% Current number of rules: 15
% New rule produced : [16] (Y meet Z) join X join Y <-> X join Y
% Current number of equations to process: 611
% Current number of ordered equations: 66
% Current number of rules: 16
% New rule produced : [17] X <-> (((X meet Y) meet Z) meet V_3) join X
% Current number of equations to process: 932
% Current number of ordered equations: 93
% Current number of rules: 17
% New rule produced : [18] Y <-> ((X join Y) meet (Y join Z)) meet Y
% Current number of equations to process: 932
% Current number of ordered equations: 91
% Current number of rules: 18
% New rule produced : [19] Y <-> (X meet Y) join (Y meet Z) join Y
% Current number of equations to process: 932
% Current number of ordered equations: 90
% Current number of rules: 19
% New rule produced : [20] ((X join Y) meet (Y join Z)) meet Y <-> Y
% Current number of equations to process: 932
% Current number of ordered equations: 88
% Current number of rules: 20
% New rule produced : [21] (X meet Y) meet Z <-> ((X meet Y) meet Z) meet Y
% Current number of equations to process: 932
% Current number of ordered equations: 87
% Current number of rules: 21
% New rule produced : [22] ((X meet Y) meet Z) meet Y <-> (X meet Y) meet Z
% Current number of equations to process: 932
% Current number of ordered equations: 86
% Current number of rules: 22
% New rule produced : [23] (((X meet Y) meet Z) meet V_3) join X <-> X
% Current number of equations to process: 932
% Current number of ordered equations: 85
% Current number of rules: 23
% New rule produced : [24] (X meet Y) join (Y meet Z) join Y <-> Y
% Current number of equations to process: 932
% Current number of ordered equations: 84
% Current number of rules: 24
% New rule produced : [25] X join Y <-> ((Y meet Z) meet V_3) join X join Y
% Current number of equations to process: 2202
% Current number of ordered equations: 211
% Current number of rules: 25
% New rule produced : [26] ((Y meet Z) meet V_3) join X join Y <-> X join Y
% Current number of equations to process: 2202
% Current number of ordered equations: 210
% Current number of rules: 26
% New rule produced :
% [27] X <-> ((((X meet Y) meet Z) meet V_3) meet V_4) join X
% Current number of equations to process: 2625
% Current number of ordered equations: 339
% Current number of rules: 27
% New rule produced : [28] Y <-> (((X meet Y) join (Y meet Z)) meet V_3) join Y
% Current number of equations to process: 2625
% Current number of ordered equations: 338
% Current number of rules: 28
% New rule produced : [29] Y <-> (((X join Y) meet (Y join Z)) join V_3) meet Y
% Current number of equations to process: 2625
% Current number of ordered equations: 337
% Current number of rules: 29
% New rule produced : [30] Y <-> ((X meet Y) meet Z) join (Y meet V_3) join Y
% Current number of equations to process: 2625
% Current number of ordered equations: 336
% Current number of rules: 30
% New rule produced :
% [31] (X join Y) meet ((Y meet Z) meet V_3) <-> (Y meet Z) meet V_3
% Current number of equations to process: 2625
% Current number of ordered equations: 335
% Current number of rules: 31
% New rule produced :
% [32] (Y meet Z) meet V_3 <-> (X join Y) meet ((Y meet Z) meet V_3)
% Current number of equations to process: 2625
% Current number of ordered equations: 334
% Current number of rules: 32
% New rule produced : [33] (((X meet Y) join (Y meet Z)) meet V_3) join Y <-> Y
% Current number of equations to process: 2625
% Current number of ordered equations: 333
% Current number of rules: 33
% New rule produced : [34] (((X join Y) meet (Y join Z)) join V_3) meet Y <-> Y
% Current number of equations to process: 2625
% Current number of ordered equations: 332
% Current number of rules: 34
% New rule produced :
% [35] ((((X meet Y) meet Z) meet V_3) meet V_4) join X <-> X
% Current number of equations to process: 2625
% Current number of ordered equations: 331
% Current number of rules: 35
% New rule produced : [36] ((X meet Y) meet Z) join (Y meet V_3) join Y <-> Y
% Current number of equations to process: 2625
% Current number of ordered equations: 330
% Current number of rules: 36
% New rule produced :
% [37] (X meet Y) join (Y meet Z) <-> ((X meet Y) join (Y meet Z)) meet Y
% Current number of equations to process: 3649
% Current number of ordered equations: 619
% Current number of rules: 37
% New rule produced :
% [38] ((X meet Y) join (Y meet Z)) meet Y <-> (X meet Y) join (Y meet Z)
% Current number of equations to process: 3649
% Current number of ordered equations: 618
% Current number of rules: 38
% New rule produced : [39] X join X <-> X meet X
% Current number of equations to process: 3649
% Current number of ordered equations: 617
% Current number of rules: 39
% New rule produced : [40] X meet X <-> X join X
% Current number of equations to process: 3649
% Current number of ordered equations: 616
% Current number of rules: 40
% New rule produced : [41] X <-> (X meet X) meet X
% Current number of equations to process: 3649
% Current number of ordered equations: 615
% Current number of rules: 41
% New rule produced : [42] (X meet X) meet X <-> X
% Current number of equations to process: 3649
% Current number of ordered equations: 614
% Current number of rules: 42
% New rule produced : [43] X join Y <-> X join Y join Y
% Current number of equations to process: 3649
% Current number of ordered equations: 604
% Current number of rules: 43
% New rule produced : [44] X join Y join Y <-> X join Y
% Current number of equations to process: 3649
% Current number of ordered equations: 594
% Current number of rules: 44
% New rule produced : [45] X join X <-> (X join Y) meet X
% Current number of equations to process: 3649
% Current number of ordered equations: 593
% Current number of rules: 45
% New rule produced : [46] (X join Y) meet X <-> X join X
% Current number of equations to process: 3649
% Current number of ordered equations: 592
% Current number of rules: 46
% New rule produced : [47] X meet X <-> (X join Y) meet X
% Current number of equations to process: 3649
% Current number of ordered equations: 589
% Current number of rules: 47
% New rule produced : [48] (X join Y) meet X <-> X meet X
% Current number of equations to process: 3649
% Current number of ordered equations: 586
% Current number of rules: 48
% New rule produced : [49] X join X <-> (X meet Y) join X
% Current number of equations to process: 3649
% Current number of ordered equations: 577
% Current number of rules: 49
% New rule produced : [50] (X meet Y) join X <-> X join X
% Current number of equations to process: 3649
% Current number of ordered equations: 568
% Current number of rules: 50
% New rule produced : [51] (X meet Y) join X <-> X meet X
% Current number of equations to process: 3649
% Current number of ordered equations: 567
% Current number of rules: 51
% New rule produced : [52] X meet X <-> (X meet Y) join X
% Current number of equations to process: 3649
% Current number of ordered equations: 566
% Current number of rules: 52
% New rule produced : [53] X meet Y <-> (X meet Y) meet Y
% Current number of equations to process: 3649
% Current number of ordered equations: 563
% Current number of rules: 53
% New rule produced : [54] (X meet Y) meet Y <-> X meet Y
% Current number of equations to process: 3649
% Current number of ordered equations: 560
% Current number of rules: 54
% New rule produced : [55] X join X join Y <-> X join Y join Y
% Current number of equations to process: 3649
% Current number of ordered equations: 556
% Current number of rules: 55
% New rule produced : [56] X <-> X join X join X join X
% Current number of equations to process: 3649
% Current number of ordered equations: 555
% Current number of rules: 56
% New rule produced : [57] X join X join X join X <-> X
% Current number of equations to process: 3649
% Current number of ordered equations: 554
% Current number of rules: 57
% New rule produced : [58] X <-> (X join X) meet (X join X)
% Current number of equations to process: 3649
% Current number of ordered equations: 553
% Current number of rules: 58
% New rule produced : [59] (X join X) meet (X join X) <-> X
% Current number of equations to process: 3649
% Current number of ordered equations: 552
% Current number of rules: 59
% New rule produced : [60] X <-> (X meet X) join (X meet X)
% Current number of equations to process: 3649
% Current number of ordered equations: 551
% Current number of rules: 60
% New rule produced : [61] (X meet X) join (X meet X) <-> X
% Current number of equations to process: 3649
% Current number of ordered equations: 550
% Current number of rules: 61
% New rule produced : [62] X <-> (X meet X) meet (X meet X)
% Current number of equations to process: 3649
% Current number of ordered equations: 549
% Current number of rules: 62
% New rule produced : [63] (X meet X) meet (X meet X) <-> X
% Current number of equations to process: 3649
% Current number of ordered equations: 548
% Current number of rules: 63
% New rule produced : [64] (X join Y) meet X <-> (X join Z) meet X
% Current number of equations to process: 3649
% Current number of ordered equations: 542
% Current number of rules: 64
% New rule produced : [65] (X meet Y) join Y <-> (Y meet Z) join Y
% Current number of equations to process: 3649
% Current number of ordered equations: 508
% Current number of rules: 65
% New rule produced : [66] (Y meet Z) join Y <-> (X join Y) meet Y
% Current number of equations to process: 3649
% Current number of ordered equations: 504
% Current number of rules: 66
% New rule produced : [67] (X join Y) meet Y <-> (Y meet Z) join Y
% Current number of equations to process: 3649
% Current number of ordered equations: 500
% Current number of rules: 67
% New rule produced : [68] (X meet Y) meet X <-> (X meet Y) meet Y
% Current number of equations to process: 3649
% Current number of ordered equations: 496
% Current number of rules: 68
% New rule produced : [69] X <-> ((X join Y) meet X) meet X
% Current number of equations to process: 3649
% Current number of ordered equations: 481
% Current number of rules: 69
% New rule produced : [70] ((X join Y) meet X) meet X <-> X
% Current number of equations to process: 3649
% Current number of ordered equations: 466
% Current number of rules: 70
% New rule produced : [71] X <-> (X meet Y) join X join X
% Current number of equations to process: 3649
% Current number of ordered equations: 455
% Current number of rules: 71
% New rule produced : [72] (X meet Y) join X join X <-> X
% Current number of equations to process: 3649
% Current number of ordered equations: 444
% Current number of rules: 72
% New rule produced : [73] X <-> (X join Y) meet (X meet X)
% Current number of equations to process: 3649
% Current number of ordered equations: 443
% Current number of rules: 73
% New rule produced : [74] (X join Y) meet (X meet X) <-> X
% Current number of equations to process: 3649
% Current number of ordered equations: 442
% Current number of rules: 74
% New rule produced : [75] (X meet X) meet Y <-> (X meet Y) meet X
% Current number of equations to process: 3649
% Current number of ordered equations: 441
% Current number of rules: 75
% New rule produced : [76] (X meet Y) meet X <-> (X meet X) meet Y
% Current number of equations to process: 3649
% Current number of ordered equations: 440
% Current number of rules: 76
% New rule produced : [77] X join X <-> ((X join X) meet Y) join X
% Current number of equations to process: 3649
% Current number of ordered equations: 435
% Current number of rules: 77
% New rule produced : [78] ((X join X) meet Y) join X <-> X join X
% Current number of equations to process: 3649
% Current number of ordered equations: 430
% Current number of rules: 78
% New rule produced : [79] X join X <-> (X join X) meet (X join Y)
% Current number of equations to process: 3649
% Current number of ordered equations: 427
% Current number of rules: 79
% New rule produced : [80] (X join X) meet (X join Y) <-> X join X
% Current number of equations to process: 3649
% Current number of ordered equations: 424
% Current number of rules: 80
% New rule produced : [81] X meet Y <-> ((X meet Y) meet X) meet X
% Current number of equations to process: 3649
% Current number of ordered equations: 422
% Current number of rules: 81
% New rule produced : [82] X meet Y <-> ((X meet Y) meet X) meet Y
% Current number of equations to process: 3649
% Current number of ordered equations: 420
% Current number of rules: 82
% New rule produced : [83] ((X meet Y) meet X) meet X <-> X meet Y
% Current number of equations to process: 3649
% Current number of ordered equations: 418
% Current number of rules: 83
% New rule produced : [84] ((X meet Y) meet X) meet Y <-> X meet Y
% Current number of equations to process: 3649
% Current number of ordered equations: 416
% Current number of rules: 84
% New rule produced : [85] X join X <-> ((X meet Y) meet Z) join X
% Current number of equations to process: 3649
% Current number of ordered equations: 411
% Current number of rules: 85
% New rule produced : [86] ((X meet Y) meet Z) join X <-> X join X
% Current number of equations to process: 3649
% Current number of ordered equations: 406
% Current number of rules: 86
% New rule produced : [87] X meet X <-> ((X meet Y) meet Z) join X
% Current number of equations to process: 3649
% Current number of ordered equations: 405
% Current number of rules: 87
% New rule produced : [88] ((X meet Y) meet Z) join X <-> X meet X
% Current number of equations to process: 3649
% Current number of ordered equations: 404
% Current number of rules: 88
% New rule produced : [89] X meet Y <-> ((X meet X) meet Y) meet X
% Current number of equations to process: 3649
% Current number of ordered equations: 403
% Current number of rules: 89
% New rule produced : [90] ((X meet X) meet Y) meet X <-> X meet Y
% Current number of equations to process: 3649
% Current number of ordered equations: 402
% Current number of rules: 90
% New rule produced : [91] X join Y join Z join Z <-> X join Y join Z
% Current number of equations to process: 3649
% Current number of ordered equations: 400
% Current number of rules: 91
% New rule produced : [92] X join Y join Z <-> X join Y join Z join Z
% Current number of equations to process: 3649
% Current number of ordered equations: 398
% Current number of rules: 92
% New rule produced : [93] X <-> (X join X join Y) meet (X join X)
% Current number of equations to process: 3649
% Current number of ordered equations: 397
% Current number of rules: 93
% New rule produced : [94] (X join X join Y) meet (X join X) <-> X
% Current number of equations to process: 3649
% Current number of ordered equations: 396
% Current number of rules: 94
% New rule produced : [95] X <-> ((X meet X) join Y) meet (X meet X)
% Current number of equations to process: 3649
% Current number of ordered equations: 395
% Current number of rules: 95
% New rule produced : [96] ((X meet X) join Y) meet (X meet X) <-> X
% Current number of equations to process: 3649
% Current number of ordered equations: 394
% Current number of rules: 96
% New rule produced : [97] X <-> ((X join X) meet Y) join X join X
% Current number of equations to process: 3649
% Current number of ordered equations: 393
% Current number of rules: 97
% New rule produced : [98] ((X join X) meet Y) join X join X <-> X
% Current number of equations to process: 3649
% Current number of ordered equations: 392
% Current number of rules: 98
% New rule produced : [99] X <-> ((X meet X) meet Y) join (X meet X)
% Current number of equations to process: 3649
% Current number of ordered equations: 391
% Current number of rules: 99
% New rule produced : [100] ((X meet X) meet Y) join (X meet X) <-> X
% Current number of equations to process: 3649
% Current number of ordered equations: 390
% Current number of rules: 100
% New rule produced : [101] (X meet Y) join Y <-> ((X meet Y) meet Z) join Y
% Current number of equations to process: 3649
% Current number of ordered equations: 379
% Current number of rules: 101
% New rule produced : [102] ((X meet Y) meet Z) join Y <-> (X meet Y) join Y
% Current number of equations to process: 3649
% Current number of ordered equations: 368
% Current number of rules: 102
% New rule produced : [103] Y join Z join Z <-> (X meet Y) join Y join Z
% Current number of equations to process: 3649
% Current number of ordered equations: 364
% Current number of rules: 103
% New rule produced : [104] (X meet Y) join Y join Z <-> Y join Z join Z
% Current number of equations to process: 3649
% Current number of ordered equations: 360
% Current number of rules: 104
% New rule produced : [105] (X meet Y) join (X meet Y) <-> (X meet Y) meet X
% Current number of equations to process: 3649
% Current number of ordered equations: 359
% Current number of rules: 105
% New rule produced : [106] (X meet Y) meet X <-> (X meet Y) join (X meet Y)
% Current number of equations to process: 3649
% Current number of ordered equations: 358
% Current number of rules: 106
% New rule produced : [107] (X meet Y) meet X <-> (X meet Y) meet (X meet Y)
% Current number of equations to process: 3649
% Current number of ordered equations: 356
% Current number of rules: 107
% New rule produced : [108] (X meet Y) meet (X meet Y) <-> (X meet Y) meet X
% Current number of equations to process: 3649
% Current number of ordered equations: 354
% Current number of rules: 108
% New rule produced : [109] X <-> (X join Y) meet ((X join Y) meet X)
% Current number of equations to process: 3649
% Current number of ordered equations: 353
% Current number of rules: 109
% New rule produced : [110] (X join Y) meet ((X join Y) meet X) <-> X
% Current number of equations to process: 3649
% Current number of ordered equations: 352
% Current number of rules: 110
% New rule produced : [111] (X join Y) meet Y <-> ((Y meet Z) meet V_3) join Y
% Current number of equations to process: 3649
% Current number of ordered equations: 351
% Current number of rules: 111
% New rule produced : [112] ((Y meet Z) meet V_3) join Y <-> (X join Y) meet Y
% Current number of equations to process: 3649
% Current number of ordered equations: 350
% Current number of rules: 112
% New rule produced : [113] (X meet Y) join Y <-> ((Y meet Z) meet V_3) join Y
% Rule [101] (X meet Y) join Y <-> ((X meet Y) meet Z) join Y collapsed.
% Current number of equations to process: 3649
% Current number of ordered equations: 343
% Current number of rules: 112
% New rule produced : [114] ((Y meet Z) meet V_3) join Y <-> (X meet Y) join Y
% Rule [102] ((X meet Y) meet Z) join Y <-> (X meet Y) join Y collapsed.
% Current number of equations to process: 3649
% Current number of ordered equations: 336
% Current number of rules: 112
% New rule produced : [115] X <-> (X join Y) meet ((X join Z) meet X)
% Rule [109] X <-> (X join Y) meet ((X join Y) meet X) collapsed.
% Current number of equations to process: 3649
% Current number of ordered equations: 334
% Current number of rules: 112
% New rule produced : [116] (X join Y) meet ((X join Z) meet X) <-> X
% Rule [110] (X join Y) meet ((X join Y) meet X) <-> X collapsed.
% Current number of equations to process: 3649
% Current number of ordered equations: 332
% Current number of rules: 112
% New rule produced : [117] (Y join Z) meet (X meet Y) <-> (X meet Y) meet X
% Current number of equations to process: 3649
% Current number of ordered equations: 329
% Current number of rules: 113
% New rule produced : [118] (X meet Y) meet X <-> (Y join Z) meet (X meet Y)
% Current number of equations to process: 3649
% Current number of ordered equations: 326
% Current number of rules: 114
% New rule produced : [119] (X meet Y) meet X <-> (X join Z) meet (X meet Y)
% Current number of equations to process: 3649
% Current number of ordered equations: 322
% Current number of rules: 115
% New rule produced : [120] (X join Z) meet (X meet Y) <-> (X meet Y) meet X
% Current number of equations to process: 3649
% Current number of ordered equations: 318
% Current number of rules: 116
% New rule produced : [121] (X meet Y) meet Y <-> (X meet Y) meet (X meet Y)
% Current number of equations to process: 3649
% Current number of ordered equations: 317
% Current number of rules: 117
% New rule produced : [122] (X meet Y) meet (X meet Y) <-> (X meet Y) meet Y
% Current number of equations to process: 3649
% Current number of ordered equations: 316
% Current number of rules: 118
% New rule produced : [123] (X meet Y) meet X <-> ((X join Z) meet X) meet Y
% Current number of equations to process: 3649
% Current number of ordered equations: 315
% Current number of rules: 119
% New rule produced : [124] ((X join Z) meet X) meet Y <-> (X meet Y) meet X
% Current number of equations to process: 3649
% Current number of ordered equations: 314
% Current number of rules: 120
% New rule produced : [125] (X meet Y) meet Z <-> ((X meet Y) meet Z) meet X
% Current number of equations to process: 3649
% Current number of ordered equations: 304
% Current number of rules: 121
% New rule produced : [126] ((X meet Y) meet Z) meet X <-> (X meet Y) meet Z
% Current number of equations to process: 3649
% Current number of ordered equations: 294
% Current number of rules: 122
% New rule produced : [127] X <-> ((X meet Y) meet Z) join X join X
% Current number of equations to process: 3649
% Current number of ordered equations: 290
% Current number of rules: 123
% New rule produced : [128] ((X meet Y) meet Z) join X join X <-> X
% Current number of equations to process: 3649
% Current number of ordered equations: 286
% Current number of rules: 124
% New rule produced : [129] (X meet X) meet Z <-> (X join Y) meet (X meet Z)
% Current number of equations to process: 3649
% Current number of ordered equations: 285
% Current number of rules: 125
% New rule produced : [130] (X join Y) meet (X meet Z) <-> (X meet X) meet Z
% Current number of equations to process: 3649
% Current number of ordered equations: 284
% Current number of rules: 126
% New rule produced : [131] X <-> (((X meet Y) join X) meet Z) join X
% Current number of equations to process: 3649
% Current number of ordered equations: 279
% Current number of rules: 127
% New rule produced : [132] (((X meet Y) join X) meet Z) join X <-> X
% Current number of equations to process: 3649
% Current number of ordered equations: 274
% Current number of rules: 128
% New rule produced : [133] X <-> (((X join Y) meet X) join Z) meet X
% Current number of equations to process: 3649
% Current number of ordered equations: 263
% Current number of rules: 129
% New rule produced : [134] (((X join Y) meet X) join Z) meet X <-> X
% Current number of equations to process: 3649
% Current number of ordered equations: 252
% Current number of rules: 130
% New rule produced :
% [135] (X meet Y) join Y join Z <-> (Z meet V_3) join Y join Z
% Current number of equations to process: 3649
% Current number of ordered equations: 236
% Current number of rules: 131
% New rule produced : [136] Y join Y join Z join Z <-> (X meet Y) join Y join Z
% Current number of equations to process: 3649
% Current number of ordered equations: 233
% Current number of rules: 132
% New rule produced : [137] (X meet Y) join Y join Z <-> Y join Y join Z join Z
% Current number of equations to process: 3649
% Current number of ordered equations: 230
% Current number of rules: 133
% New rule produced : [138] X meet Y <-> ((X meet Y) join (X meet Y)) meet X
% Current number of equations to process: 3649
% Current number of ordered equations: 229
% Current number of rules: 134
% New rule produced : [139] ((X meet Y) join (X meet Y)) meet X <-> X meet Y
% Current number of equations to process: 3649
% Current number of ordered equations: 228
% Current number of rules: 135
% New rule produced : [140] X meet Y <-> ((X meet Y) meet (X meet Y)) meet X
% Current number of equations to process: 3649
% Current number of ordered equations: 227
% Current number of rules: 136
% New rule produced : [141] ((X meet Y) meet (X meet Y)) meet X <-> X meet Y
% Current number of equations to process: 3649
% Current number of ordered equations: 226
% Current number of rules: 137
% New rule produced : [142] X meet Y <-> ((X meet Y) meet X) meet (X meet Y)
% Current number of equations to process: 3649
% Current number of ordered equations: 225
% Current number of rules: 138
% New rule produced : [143] ((X meet Y) meet X) meet (X meet Y) <-> X meet Y
% Current number of equations to process: 3649
% Current number of ordered equations: 224
% Current number of rules: 139
% New rule produced :
% [144] ((Y meet V_3) meet V_4) join Y <-> ((X meet Y) meet Z) join Y
% Current number of equations to process: 3649
% Current number of ordered equations: 218
% Current number of rules: 140
% New rule produced : [145] X join X <-> (((X join X) meet Y) meet Z) join X
% Current number of equations to process: 3649
% Current number of ordered equations: 217
% Current number of rules: 141
% New rule produced : [146] (((X join X) meet Y) meet Z) join X <-> X join X
% Current number of equations to process: 3649
% Current number of ordered equations: 216
% Current number of rules: 142
% New rule produced : [147] (Y meet Z) join X join Y <-> X join X join Y join Y
% Current number of equations to process: 3649
% Current number of ordered equations: 215
% Current number of rules: 143
% New rule produced : [148] X join X join Y join Y <-> (Y meet Z) join X join Y
% Current number of equations to process: 3649
% Current number of ordered equations: 214
% Current number of rules: 144
% New rule produced :
% [149] (X join Y) meet (X join Y) <-> (Y meet Z) join X join Y
% Current number of equations to process: 3649
% Current number of ordered equations: 213
% Current number of rules: 145
% New rule produced :
% [150] (Y meet Z) join X join Y <-> (X join Y) meet (X join Y)
% Current number of equations to process: 3649
% Current number of ordered equations: 212
% Current number of rules: 146
% New rule produced : [151] X join Y <-> (Y meet Z) join X join X join Y
% Current number of equations to process: 3649
% Current number of ordered equations: 211
% Current number of rules: 147
% New rule produced : [152] (Y meet Z) join X join X join Y <-> X join Y
% Current number of equations to process: 3649
% Current number of ordered equations: 210
% Current number of rules: 148
% New rule produced :
% [153] (X join Y) meet (Y meet Z) <-> (Z join V_3) meet (Y meet Z)
% Current number of equations to process: 3649
% Current number of ordered equations: 206
% Current number of rules: 149
% New rule produced :
% [154] (X join Y) meet (Y meet Z) <-> (Y join V_3) meet (Y meet Z)
% Current number of equations to process: 3649
% Current number of ordered equations: 202
% Current number of rules: 150
% New rule produced :
% [155] (X meet Y) join (X meet Y) <-> (X join Z) meet (X meet Y)
% Current number of equations to process: 3649
% Current number of ordered equations: 201
% Current number of rules: 151
% New rule produced :
% [156] (X join Z) meet (X meet Y) <-> (X meet Y) join (X meet Y)
% Current number of equations to process: 3649
% Current number of ordered equations: 200
% Current number of rules: 152
% New rule produced :
% [157] (X meet Y) meet (X meet Y) <-> (X join Z) meet (X meet Y)
% Current number of equations to process: 3649
% Current number of ordered equations: 197
% Current number of rules: 153
% New rule produced :
% [158] (X join Z) meet (X meet Y) <-> (X meet Y) meet (X meet Y)
% Current number of equations to process: 3649
% Current number of ordered equations: 194
% Current number of rules: 154
% New rule produced : [159] X meet Y <-> (X join Z) meet ((X meet Y) meet X)
% Current number of equations to process: 3649
% Current number of ordered equations: 191
% Current number of rules: 155
% New rule produced : [160] X meet Z <-> ((X join Y) meet (X meet Z)) meet X
% Current number of equations to process: 3649
% Current number of ordered equations: 190
% Current number of rules: 156
% New rule produced : [161] Y meet Z <-> ((X join Y) meet (Y meet Z)) meet Z
% Current number of equations to process: 3649
% Current number of ordered equations: 188
% Current number of rules: 157
% New rule produced : [162] (X join Z) meet ((X meet Y) meet X) <-> X meet Y
% Current number of equations to process: 3649
% Current number of ordered equations: 185
% Current number of rules: 158
% New rule produced : [163] ((X join Y) meet (Y meet Z)) meet Z <-> Y meet Z
% Current number of equations to process: 3649
% Current number of ordered equations: 183
% Current number of rules: 159
% New rule produced : [164] ((X join Y) meet (X meet Z)) meet X <-> X meet Z
% Current number of equations to process: 3649
% Current number of ordered equations: 182
% Current number of rules: 160
% New rule produced : [165] Y meet Z <-> (X join Y) meet ((Y meet Z) meet Z)
% Current number of equations to process: 3649
% Current number of ordered equations: 181
% Current number of rules: 161
% New rule produced : [166] (X join Y) meet ((Y meet Z) meet Z) <-> Y meet Z
% Current number of equations to process: 3649
% Current number of ordered equations: 180
% Current number of rules: 162
% New rule produced : [167] X join X <-> (((X meet Y) meet Z) meet V_3) join X
% Current number of equations to process: 3649
% Current number of ordered equations: 178
% Current number of rules: 163
% New rule produced : [168] (((X meet Y) meet Z) meet V_3) join X <-> X join X
% Current number of equations to process: 3649
% Current number of ordered equations: 176
% Current number of rules: 164
% New rule produced : [169] X meet X <-> (((X meet Y) meet Z) meet V_3) join X
% Current number of equations to process: 3649
% Current number of ordered equations: 175
% Current number of rules: 165
% New rule produced : [170] (((X meet Y) meet Z) meet V_3) join X <-> X meet X
% Current number of equations to process: 3649
% Current number of ordered equations: 174
% Current number of rules: 166
% New rule produced : [171] X join X <-> ((X join Y) meet (X join Z)) meet X
% Current number of equations to process: 3649
% Current number of ordered equations: 173
% Current number of rules: 167
% New rule produced : [172] ((X join Y) meet (X join Z)) meet X <-> X join X
% Current number of equations to process: 3649
% Current number of ordered equations: 172
% Current number of rules: 168
% New rule produced : [173] X meet X <-> ((X join Y) meet (X join Z)) meet X
% Current number of equations to process: 3649
% Current number of ordered equations: 170
% Current number of rules: 169
% New rule produced : [174] ((X join Y) meet (X join Z)) meet X <-> X meet X
% Current number of equations to process: 3649
% Current number of ordered equations: 168
% Current number of rules: 170
% New rule produced : [175] X join X <-> (X meet Y) join (X meet Z) join X
% Current number of equations to process: 3649
% Current number of ordered equations: 166
% Current number of rules: 171
% New rule produced : [176] (X meet Y) join (X meet Z) join X <-> X join X
% Current number of equations to process: 3649
% Current number of ordered equations: 164
% Current number of rules: 172
% New rule produced : [177] X meet X <-> (X meet Y) join (X meet Z) join X
% Current number of equations to process: 3649
% Current number of ordered equations: 163
% Current number of rules: 173
% New rule produced : [178] (X meet Y) join (X meet Z) join X <-> X meet X
% Current number of equations to process: 3649
% Current number of ordered equations: 162
% Current number of rules: 174
% New rule produced :
% [179] ((X meet Y) meet Z) meet X <-> ((X meet Y) meet Z) meet Y
% Current number of equations to process: 3649
% Current number of ordered equations: 160
% Current number of rules: 175
% New rule produced : [180] X meet Y <-> ((X meet Y) meet (X meet Y)) meet Y
% Current number of equations to process: 3649
% Current number of ordered equations: 159
% Current number of rules: 176
% New rule produced : [181] ((X meet Y) meet (X meet Y)) meet Y <-> X meet Y
% Current number of equations to process: 3649
% Current number of ordered equations: 158
% Current number of rules: 177
% New rule produced : [182] X meet Y <-> (((X join Z) meet X) meet Y) meet X
% Current number of equations to process: 3649
% Current number of ordered equations: 157
% Current number of rules: 178
% New rule produced : [183] (((X join Z) meet X) meet Y) meet X <-> X meet Y
% Current number of equations to process: 3649
% Current number of ordered equations: 156
% Current number of rules: 179
% New rule produced :
% [184] ((X meet Y) meet X) meet Z <-> ((X meet Y) meet Z) meet X
% Current number of equations to process: 3649
% Current number of ordered equations: 154
% Current number of rules: 180
% New rule produced :
% [185] ((X meet Y) meet X) meet Z <-> ((X meet Y) meet Z) meet Y
% Current number of equations to process: 3649
% Current number of ordered equations: 153
% Current number of rules: 181
% New rule produced :
% [186] ((X meet Y) meet Z) meet X <-> ((X meet Y) meet X) meet Z
% Current number of equations to process: 3649
% Current number of ordered equations: 151
% Current number of rules: 182
% New rule produced :
% [187] ((X meet Y) meet Z) meet Y <-> ((X meet Y) meet X) meet Z
% Current number of equations to process: 3649
% Current number of ordered equations: 150
% Current number of rules: 183
% New rule produced :
% [188] ((X meet Y) meet Z) meet Y <-> ((X meet Y) meet Z) meet Z
% Current number of equations to process: 3649
% Current number of ordered equations: 148
% Current number of rules: 184
% New rule produced :
% [189] ((X meet Y) meet Z) meet Z <-> ((X meet Y) meet Z) meet Y
% Current number of equations to process: 3649
% Current number of ordered equations: 146
% Current number of rules: 185
% New rule produced : [190] X meet Y <-> ((Y join Z) meet (X meet Y)) meet Y
% Current number of equations to process: 3649
% Current number of ordered equations: 145
% Current number of rules: 186
% New rule produced : [191] ((Y join Z) meet (X meet Y)) meet Y <-> X meet Y
% Current number of equations to process: 3649
% Current number of ordered equations: 144
% Current number of rules: 187
% New rule produced :
% [192] (X join Y) meet (X meet Z) <-> ((X join Y) meet X) meet Z
% Current number of equations to process: 3649
% Current number of ordered equations: 143
% Current number of rules: 188
% New rule produced :
% [193] ((X join Y) meet X) meet Z <-> (X join Y) meet (X meet Z)
% Current number of equations to process: 3649
% Current number of ordered equations: 142
% Current number of rules: 189
% New rule produced :
% [194] (X join Y) meet (X meet Z) <-> ((X join V_3) meet X) meet Z
% Rule [192] (X join Y) meet (X meet Z) <-> ((X join Y) meet X) meet Z
% collapsed.
% Current number of equations to process: 3649
% Current number of ordered equations: 141
% Current number of rules: 189
% New rule produced :
% [195] ((X join V_3) meet X) meet Z <-> (X join Y) meet (X meet Z)
% Rule [193] ((X join Y) meet X) meet Z <-> (X join Y) meet (X meet Z)
% collapsed.
% Current number of equations to process: 3649
% Current number of ordered equations: 140
% Current number of rules: 189
% New rule produced : [196] X meet Y <-> (X join Z) meet ((X meet X) meet Y)
% Current number of equations to process: 3649
% Current number of ordered equations: 139
% Current number of rules: 190
% New rule produced : [197] (X join Z) meet ((X meet X) meet Y) <-> X meet Y
% Current number of equations to process: 3649
% Current number of ordered equations: 138
% Current number of rules: 191
% New rule produced : [198] X meet Y <-> (Y join Z) meet ((X meet Y) meet X)
% Current number of equations to process: 3649
% Current number of ordered equations: 137
% Current number of rules: 192
% New rule produced : [199] (Y join Z) meet ((X meet Y) meet X) <-> X meet Y
% Current number of equations to process: 3649
% Current number of ordered equations: 136
% Current number of rules: 193
% New rule produced :
% [200] (X meet Y) join Z <-> ((X meet Y) join Z) meet (X join Z)
% Current number of equations to process: 3649
% Current number of ordered equations: 132
% Current number of rules: 194
% New rule produced :
% [201] ((X meet Y) join Z) meet (X join Z) <-> (X meet Y) join Z
% Current number of equations to process: 3649
% Current number of ordered equations: 128
% Current number of rules: 195
% New rule produced :
% [202] (X meet Y) join Y <-> (((X meet Y) join Y) meet Z) join Y
% Current number of equations to process: 3649
% Current number of ordered equations: 121
% Current number of rules: 196
% New rule produced :
% [203] (((X meet Y) join Y) meet Z) join Y <-> (X meet Y) join Y
% Current number of equations to process: 3649
% Current number of ordered equations: 114
% Current number of rules: 197
% New rule produced : [204] Y <-> (X meet Y) join (X meet Y) join Y join Y
% Current number of equations to process: 3649
% Current number of ordered equations: 113
% Current number of rules: 198
% New rule produced : [205] (X meet Y) join (X meet Y) join Y join Y <-> Y
% Current number of equations to process: 3649
% Current number of ordered equations: 112
% Current number of rules: 199
% New rule produced : [206] Y <-> ((X meet Y) join Y) meet ((X meet Y) join Y)
% Current number of equations to process: 3649
% Current number of ordered equations: 111
% Current number of rules: 200
% New rule produced : [207] ((X meet Y) join Y) meet ((X meet Y) join Y) <-> Y
% Current number of equations to process: 3649
% Current number of ordered equations: 110
% Current number of rules: 201
% New rule produced :
% [208] ((X join Y) meet Z) join X join Y <-> X join X join Y
% Current number of equations to process: 3649
% Current number of ordered equations: 108
% Current number of rules: 202
% New rule produced :
% [209] X join X join Y <-> ((X join Y) meet Z) join X join Y
% Current number of equations to process: 3649
% Current number of ordered equations: 106
% Current number of rules: 203
% New rule produced : [210] X <-> ((X join Y) meet X) join ((X join Y) meet X)
% Current number of equations to process: 3649
% Current number of ordered equations: 105
% Current number of rules: 204
% New rule produced : [211] ((X join Y) meet X) join ((X join Y) meet X) <-> X
% Current number of equations to process: 3649
% Current number of ordered equations: 104
% Current number of rules: 205
% New rule produced : [212] X <-> ((X join Y) meet X) meet ((X join Y) meet X)
% Current number of equations to process: 3649
% Current number of ordered equations: 103
% Current number of rules: 206
% New rule produced : [213] ((X join Y) meet X) meet ((X join Y) meet X) <-> X
% Current number of equations to process: 3649
% Current number of ordered equations: 102
% Current number of rules: 207
% New rule produced :
% [214] (X join Y join Y) meet (X join Y) <-> X join Y join Y
% Current number of equations to process: 3649
% Current number of ordered equations: 101
% Current number of rules: 208
% New rule produced :
% [215] X join Y join Y <-> (X join Y join Y) meet (X join Y)
% Current number of equations to process: 3649
% Current number of ordered equations: 100
% Current number of rules: 209
% New rule produced :
% [216] (X meet Y) join Y <-> ((X meet Y) join Y) meet (Y join Z)
% Current number of equations to process: 3649
% Current number of ordered equations: 95
% Current number of rules: 210
% New rule produced :
% [217] (X meet Y) join Z <-> ((X meet Y) join Z) meet (Y join Z)
% Current number of equations to process: 3649
% Current number of ordered equations: 93
% Current number of rules: 211
% New rule produced :
% [218] ((X meet Y) join Y) meet (Y join Z) <-> (X meet Y) join Y
% Current number of equations to process: 3649
% Current number of ordered equations: 88
% Current number of rules: 212
% New rule produced :
% [219] ((X meet Y) join Z) meet (Y join Z) <-> (X meet Y) join Z
% Current number of equations to process: 3649
% Current number of ordered equations: 86
% Current number of rules: 213
% New rule produced :
% [220] (X meet Y) meet X <-> ((X meet Y) join Z) meet (X meet Y)
% Current number of equations to process: 3649
% Current number of ordered equations: 84
% Current number of rules: 214
% New rule produced :
% [221] ((X meet Y) join Z) meet (X meet Y) <-> (X meet Y) meet X
% Current number of equations to process: 3649
% Current number of ordered equations: 82
% Current number of rules: 215
% New rule produced :
% [222] (X meet Y) meet X <-> ((X meet Y) meet Z) join (X meet Y)
% Current number of equations to process: 3649
% Current number of ordered equations: 81
% Current number of rules: 216
% New rule produced :
% [223] ((X meet Y) meet Z) join (X meet Y) <-> (X meet Y) meet X
% Current number of equations to process: 3649
% Current number of ordered equations: 80
% Current number of rules: 217
% New rule produced : [224] X <-> (((X join X) meet Y) meet Z) join X join X
% Current number of equations to process: 3649
% Current number of ordered equations: 79
% Current number of rules: 218
% New rule produced : [225] (((X join X) meet Y) meet Z) join X join X <-> X
% Current number of equations to process: 3649
% Current number of ordered equations: 78
% Current number of rules: 219
% New rule produced : [226] X <-> (((X meet X) meet Y) meet Z) join (X meet X)
% Current number of equations to process: 3649
% Current number of ordered equations: 77
% Current number of rules: 220
% New rule produced : [227] (((X meet X) meet Y) meet Z) join (X meet X) <-> X
% Current number of equations to process: 3649
% Current number of ordered equations: 76
% Current number of rules: 221
% New rule produced :
% [228] Y join V_3 join V_3 <-> ((X meet Y) meet Z) join Y join V_3
% Current number of equations to process: 3649
% Current number of ordered equations: 74
% Current number of rules: 222
% New rule produced :
% [229] ((X meet Y) meet Z) join Y join V_3 <-> Y join V_3 join V_3
% Current number of equations to process: 3649
% Current number of ordered equations: 72
% Current number of rules: 223
% New rule produced :
% [230] (X meet Y) join Y <-> (((X meet Y) meet Z) meet V_3) join Y
% Current number of equations to process: 3649
% Current number of ordered equations: 65
% Current number of rules: 224
% New rule produced :
% [231] (((X meet Y) meet Z) meet V_3) join Y <-> (X meet Y) join Y
% Current number of equations to process: 3649
% Current number of ordered equations: 58
% Current number of rules: 225
% New rule produced :
% [232] (X join X) meet Z <-> (X join Y) meet ((X join X) meet Z)
% Current number of equations to process: 3649
% Current number of ordered equations: 57
% Current number of rules: 226
% New rule produced :
% [233] (X join Y) meet ((X join X) meet Z) <-> (X join X) meet Z
% Current number of equations to process: 3649
% Current number of ordered equations: 56
% Current number of rules: 227
% New rule produced :
% [234] (X join Y) meet X <-> (((X meet Z) meet V_3) meet V_4) join X
% Current number of equations to process: 3649
% Current number of ordered equations: 55
% Current number of rules: 228
% New rule produced :
% [235] (((X meet Z) meet V_3) meet V_4) join X <-> (X join Y) meet X
% Current number of equations to process: 3649
% Current number of ordered equations: 54
% Current number of rules: 229
% New rule produced :
% [236] (X meet Y) join Y <-> (((Y meet Z) meet V_3) meet V_4) join Y
% Rule [230] (X meet Y) join Y <-> (((X meet Y) meet Z) meet V_3) join Y
% collapsed.
% Current number of equations to process: 3649
% Current number of ordered equations: 51
% Current number of rules: 229
% New rule produced :
% [237] (((Y meet Z) meet V_3) meet V_4) join Y <-> (X meet Y) join Y
% Rule [231] (((X meet Y) meet Z) meet V_3) join Y <-> (X meet Y) join Y
% collapsed.
% Current number of equations to process: 3649
% Current number of ordered equations: 48
% Current number of rules: 229
% New rule produced :
% [238] (X join Y) meet Y <-> ((Y join Z) meet (Y join V_3)) meet Y
% Current number of equations to process: 3649
% Current number of ordered equations: 44
% Current number of rules: 230
% New rule produced :
% [239] ((Y join Z) meet (Y join V_3)) meet Y <-> (X join Y) meet Y
% Current number of equations to process: 3649
% Current number of ordered equations: 40
% Current number of rules: 231
% New rule produced :
% [240] (X meet Y) join Y <-> ((Y join Z) meet (Y join V_3)) meet Y
% Current number of equations to process: 3649
% Current number of ordered equations: 39
% Current number of rules: 232
% New rule produced :
% [241] ((Y join Z) meet (Y join V_3)) meet Y <-> (X meet Y) join Y
% Current number of equations to process: 3649
% Current number of ordered equations: 38
% Current number of rules: 233
% New rule produced :
% [242] (X join Y) meet Y <-> (Y meet Z) join (Y meet V_3) join Y
% Current number of equations to process: 3649
% Current number of ordered equations: 37
% Current number of rules: 234
% New rule produced :
% [243] (Y meet Z) join (Y meet V_3) join Y <-> (X join Y) meet Y
% Current number of equations to process: 3649
% Current number of ordered equations: 36
% Current number of rules: 235
% New rule produced :
% [244] (X meet Y) join Y <-> (Y meet Z) join (Y meet V_3) join Y
% Current number of equations to process: 3649
% Current number of ordered equations: 30
% Current number of rules: 236
% New rule produced :
% [245] (Y meet Z) join (Y meet V_3) join Y <-> (X meet Y) join Y
% Current number of equations to process: 3649
% Current number of ordered equations: 24
% Current number of rules: 237
% New rule produced : [246] X <-> (((X join Y) meet (X join Z)) meet X) meet X
% Current number of equations to process: 3649
% Current number of ordered equations: 23
% Current number of rules: 238
% New rule produced : [247] (((X join Y) meet (X join Z)) meet X) meet X <-> X
% Current number of equations to process: 3649
% Current number of ordered equations: 22
% Current number of rules: 239
% New rule produced :
% [248] (X meet Y) meet Z <-> (((X meet Y) meet Z) meet Y) meet Z
% Current number of equations to process: 3649
% Current number of ordered equations: 20
% Current number of rules: 240
% New rule produced :
% [249] (X meet Y) meet Z <-> (((X meet Y) meet X) meet Z) meet X
% Current number of equations to process: 3649
% Current number of ordered equations: 18
% Current number of rules: 241
% New rule produced :
% [250] (((X meet Y) meet Z) meet Y) meet Z <-> (X meet Y) meet Z
% Current number of equations to process: 3649
% Current number of ordered equations: 16
% Current number of rules: 242
% New rule produced :
% [251] (((X meet Y) meet X) meet Z) meet X <-> (X meet Y) meet Z
% Current number of equations to process: 3649
% Current number of ordered equations: 14
% Current number of rules: 243
% New rule produced :
% [252] (X meet Y) meet Y <-> ((X meet Y) join Z) meet (X meet Y)
% Current number of equations to process: 3649
% Current number of ordered equations: 13
% Current number of rules: 244
% New rule produced :
% [253] ((X meet Y) join Z) meet (X meet Y) <-> (X meet Y) meet Y
% Current number of equations to process: 3649
% Current number of ordered equations: 12
% Current number of rules: 245
% New rule produced :
% [254] (X meet Y) meet Z <-> (((X meet Y) meet Z) meet X) meet X
% Current number of equations to process: 3649
% Current number of ordered equations: 11
% Current number of rules: 246
% New rule produced :
% [255] (X meet Y) meet Z <-> (((X meet Y) meet Z) meet Z) meet Y
% Current number of equations to process: 3649
% Current number of ordered equations: 10
% Current number of rules: 247
% New rule produced :
% [256] (X meet Y) meet Z <-> (((X meet Y) meet X) meet Z) meet Y
% Current number of equations to process: 3649
% Current number of ordered equations: 9
% Current number of rules: 248
% New rule produced :
% [257] (((X meet Y) meet Z) meet X) meet X <-> (X meet Y) meet Z
% Current number of equations to process: 3649
% Current number of ordered equations: 8
% Current number of rules: 249
% New rule produced :
% [258] (((X meet Y) meet Z) meet Z) meet Y <-> (X meet Y) meet Z
% Current number of equations to process: 3649
% Current number of ordered equations: 7
% Current number of rules: 250
% New rule produced :
% [259] (((X meet Y) meet X) meet Z) meet Y <-> (X meet Y) meet Z
% Current number of equations to process: 3649
% Current number of ordered equations: 6
% Current number of rules: 251
% New rule produced :
% [260] (X meet Y) meet Z <-> (((X meet Y) meet Z) meet Y) meet X
% Current number of equations to process: 3649
% Current number of ordered equations: 5
% Current number of rules: 252
% New rule produced :
% [261] (X meet Y) meet Z <-> (((X meet Y) meet Z) meet Y) meet Y
% Current number of equations to process: 3649
% Current number of ordered equations: 4
% Current number of rules: 253
% New rule produced :
% [262] (((X meet Y) meet Z) meet Y) meet X <-> (X meet Y) meet Z
% Current number of equations to process: 3649
% Current number of ordered equations: 3
% Current number of rules: 254
% New rule produced :
% [263] (((X meet Y) meet Z) meet Y) meet Y <-> (X meet Y) meet Z
% Current number of equations to process: 3649
% Current number of ordered equations: 2
% Current number of rules: 255
% New rule produced :
% [264] ((X join Y) meet Z) join X join Y <-> X join Y join Y
% Current number of equations to process: 3649
% Current number of ordered equations: 1
% Current number of rules: 256
% New rule produced :
% [265] X join Y join Y <-> ((X join Y) meet Z) join X join Y
% Current number of equations to process: 3649
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced : [266] X meet Y <-> ((X meet Y) join (X meet Y)) meet Y
% Current number of equations to process: 3828
% Current number of ordered equations: 1
% Current number of rules: 258
% New rule produced : [267] ((X meet Y) join (X meet Y)) meet Y <-> X meet Y
% Current number of equations to process: 3828
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [268] (X meet Y) join X <-> ((X meet X) join (X meet Y)) meet X
% Current number of equations to process: 3955
% Current number of ordered equations: 1
% Current number of rules: 260
% New rule produced :
% [269] ((X meet X) join (X meet Y)) meet X <-> (X meet Y) join X
% Current number of equations to process: 3955
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced : [270] (X meet Y) join (X meet Y) <-> (X meet Y) meet Y
% Current number of equations to process: 4155
% Current number of ordered equations: 1
% Current number of rules: 262
% New rule produced : [271] (X meet Y) meet Y <-> (X meet Y) join (X meet Y)
% Current number of equations to process: 4155
% Current number of ordered equations: 0
% Current number of rules: 263
% New rule produced :
% [272] (X meet X) join (X meet Y) <-> ((X meet Y) join X) meet X
% Current number of equations to process: 4174
% Current number of ordered equations: 1
% Current number of rules: 264
% New rule produced :
% [273] ((X meet Y) join X) meet X <-> (X meet X) join (X meet Y)
% Current number of equations to process: 4174
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced : [274] X <-> ((X meet X) join Y) meet X
% Current number of equations to process: 4809
% Current number of ordered equations: 1
% Current number of rules: 266
% New rule produced : [275] ((X meet X) join Y) meet X <-> X
% Current number of equations to process: 4809
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced : [276] X <-> X join X join X
% Current number of equations to process: 2322
% Current number of ordered equations: 1
% Current number of rules: 268
% New rule produced : [277] X join X join X <-> X
% Current number of equations to process: 2322
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced : [278] X join X <-> (X meet X) meet X
% Current number of equations to process: 2327
% Current number of ordered equations: 1
% Current number of rules: 270
% New rule produced : [279] (X meet X) meet X <-> X join X
% Current number of equations to process: 2327
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced : [280] X <-> ((X join X) meet Y) join X
% Current number of equations to process: 2341
% Current number of ordered equations: 1
% Current number of rules: 272
% New rule produced : [281] ((X join X) meet Y) join X <-> X
% Current number of equations to process: 2341
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced : [282] (X meet X) meet X <-> (X join Y) meet X
% Current number of equations to process: 2411
% Current number of ordered equations: 1
% Current number of rules: 274
% New rule produced : [283] (X join Y) meet X <-> (X meet X) meet X
% Current number of equations to process: 2411
% Current number of ordered equations: 0
% Current number of rules: 275
% New rule produced : [284] (X meet Y) join Y <-> (Y meet Y) meet Y
% Current number of equations to process: 2410
% Current number of ordered equations: 1
% Current number of rules: 276
% New rule produced : [285] (Y meet Y) meet Y <-> (X meet Y) join Y
% Current number of equations to process: 2410
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced : [286] X meet X <-> X join X join X join X
% Current number of equations to process: 2454
% Current number of ordered equations: 1
% Current number of rules: 278
% New rule produced : [287] X join X join X join X <-> X meet X
% Current number of equations to process: 2454
% Current number of ordered equations: 0
% Current number of rules: 279
% New rule produced : [288] X meet X <-> (X join X) meet (X join X)
% Current number of equations to process: 2453
% Current number of ordered equations: 1
% Current number of rules: 280
% New rule produced : [289] (X join X) meet (X join X) <-> X meet X
% Current number of equations to process: 2453
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced : [290] X join Y <-> (X meet X) join Y join Y
% Current number of equations to process: 2452
% Current number of ordered equations: 1
% Current number of rules: 282
% New rule produced : [291] (X meet X) join Y join Y <-> X join Y
% Current number of equations to process: 2452
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced : [292] X join X <-> (X meet X) join (X meet Y)
% Current number of equations to process: 2451
% Current number of ordered equations: 1
% Current number of rules: 284
% New rule produced : [293] (X meet X) join (X meet Y) <-> X join X
% Current number of equations to process: 2451
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced : [294] X meet X <-> (X meet Y) join X join X
% Current number of equations to process: 2450
% Current number of ordered equations: 1
% Current number of rules: 286
% New rule produced : [295] (X meet Y) join X join X <-> X meet X
% Current number of equations to process: 2450
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced : [296] X meet Y <-> (X meet X) meet (X meet Y)
% Current number of equations to process: 2449
% Current number of ordered equations: 1
% Current number of rules: 288
% New rule produced : [297] (X meet X) meet (X meet Y) <-> X meet Y
% Current number of equations to process: 2449
% Current number of ordered equations: 0
% Current number of rules: 289
% New rule produced : [298] X join X <-> (X meet X) meet (X meet X)
% Current number of equations to process: 2446
% Current number of ordered equations: 1
% Current number of rules: 290
% New rule produced : [299] (X meet X) meet (X meet X) <-> X join X
% Current number of equations to process: 2446
% Current number of ordered equations: 0
% Current number of rules: 291
% New rule produced : [300] Y join Y <-> (X join Y) meet (Y meet Y)
% Current number of equations to process: 2444
% Current number of ordered equations: 1
% Current number of rules: 292
% New rule produced : [301] (X join Y) meet (Y meet Y) <-> Y join Y
% Current number of equations to process: 2444
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced : [302] Y meet Y <-> (X join Y) meet (Y join Y)
% Rule [288] X meet X <-> (X join X) meet (X join X) collapsed.
% Current number of equations to process: 2443
% Current number of ordered equations: 1
% Current number of rules: 293
% New rule produced : [303] (X join Y) meet (Y join Y) <-> Y meet Y
% Rule [289] (X join X) meet (X join X) <-> X meet X collapsed.
% Current number of equations to process: 2443
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced : [304] X join Y join Y join Y <-> X join Y
% Current number of equations to process: 2442
% Current number of ordered equations: 1
% Current number of rules: 294
% New rule produced : [305] X join Y <-> X join Y join Y join Y
% Current number of equations to process: 2442
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced : [306] X <-> ((X meet X) meet X) meet X
% Current number of equations to process: 2484
% Current number of ordered equations: 1
% Current number of rules: 296
% New rule produced : [307] ((X meet X) meet X) meet X <-> X
% Current number of equations to process: 2484
% Current number of ordered equations: 0
% Current number of rules: 297
% New rule produced : [308] (X meet X) join (X meet Y) <-> X meet X
% Current number of equations to process:Cputime limit exceeded (core dumped)
% 
% EOF
%------------------------------------------------------------------------------