%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : LAT013-1 : TPTP v6.0.0. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n160.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 00:26:08 EDT 2014

% Result   : Timeout 300.09s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : LAT013-1 : TPTP v6.0.0. Released v2.2.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n160.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 16:04:28 CDT 2014
% % CPUTime  : 300.09 
% Processing problem /tmp/CiME_5883_n160.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " c,b,a : constant;  join : 2;  meet : 2;";
% let X = vars "X Y Z";
% let Axioms = equations F X "
% join(X,meet(Y,meet(X,Z))) = X;
% meet(X,join(Y,join(X,Z))) = X;
% join(join(meet(X,Y),meet(Y,Z)),Y) = Y;
% meet(meet(join(X,Y),join(Y,Z)),Y) = Y;
% ";
% 
% let s1 = status F "
% c lr_lex;
% b lr_lex;
% a lr_lex;
% join lr_lex;
% meet lr_lex;
% ";
% 
% 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 " meet(meet(a,b),c) = meet(a,meet(b,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 = { join(X,meet(Y,meet(X,Z))) = X,
% meet(X,join(Y,join(X,Z))) = X,
% join(join(meet(X,Y),meet(Y,Z)),Y) = Y,
% meet(meet(join(X,Y),join(Y,Z)),Y) = Y }
% (4 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 = { meet(meet(a,b),c) = meet(a,meet(b,c)) }
% (1 equation(s))
% time is now on
% 
% Initializing completion ...
% New rule produced : [1] join(X,meet(Y,meet(X,Z))) -> X
% Current number of equations to process: 0
% Current number of ordered equations: 3
% Current number of rules: 1
% New rule produced : [2] meet(X,join(Y,join(X,Z))) -> X
% Current number of equations to process: 0
% Current number of ordered equations: 2
% Current number of rules: 2
% New rule produced : [3] join(join(meet(X,Y),meet(Y,Z)),Y) -> Y
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 3
% New rule produced : [4] meet(meet(join(X,Y),join(Y,Z)),Y) -> Y
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 4
% New rule produced : [5] join(X,meet(Y,X)) -> X
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 5
% New rule produced : [6] meet(X,join(Y,X)) -> X
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 6
% New rule produced : [7] join(meet(X,Y),Y) -> Y
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced : [8] join(X,X) -> X
% Current number of equations to process: 3
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced : [9] meet(X,join(X,Y)) -> X
% Current number of equations to process: 2
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced : [10] join(X,meet(X,Y)) -> X
% Current number of equations to process: 5
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced : [11] meet(meet(join(X,Y),Y),Y) -> Y
% Current number of equations to process: 4
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced : [12] meet(join(X,Y),Y) -> Y
% Rule [11] meet(meet(join(X,Y),Y),Y) -> Y collapsed.
% Current number of equations to process: 5
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced : [13] meet(Y,Y) -> Y
% Current number of equations to process: 4
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced : [14] join(join(X,Y),Y) -> join(X,Y)
% Current number of equations to process: 12
% Current number of ordered equations: 1
% Current number of rules: 13
% New rule produced : [15] meet(meet(X,Y),Y) -> meet(X,Y)
% Current number of equations to process: 12
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced : [16] join(X,join(Y,X)) -> join(Y,X)
% Current number of equations to process: 13
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced : [17] join(join(X,Y),X) -> join(X,Y)
% Current number of equations to process: 16
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced : [18] join(X,join(X,Y)) -> join(X,Y)
% Current number of equations to process: 15
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced : [19] meet(meet(X,Y),X) -> meet(X,Y)
% Current number of equations to process: 20
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced : [20] meet(X,meet(X,Y)) -> meet(X,Y)
% Current number of equations to process: 19
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced : [21] meet(X,meet(Y,X)) -> meet(Y,X)
% Current number of equations to process: 20
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced : [22] join(meet(X,Y),X) -> X
% Current number of equations to process: 20
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced : [23] join(meet(X,meet(Y,Z)),Y) -> Y
% Current number of equations to process: 21
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced : [24] meet(X,join(Y,join(Z,X))) -> X
% Current number of equations to process: 20
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced : [25] meet(X,join(join(X,Y),Z)) -> X
% Current number of equations to process: 21
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced : [26] meet(join(X,Y),X) -> X
% Current number of equations to process: 23
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced : [27] join(X,meet(meet(X,Y),Z)) -> X
% Current number of equations to process: 23
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced : [28] join(X,meet(Y,meet(Z,X))) -> X
% Current number of equations to process: 26
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced : [29] meet(join(X,join(Y,Z)),Y) -> Y
% Current number of equations to process: 25
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced : [30] meet(meet(X,Y),join(Z,Y)) -> meet(X,Y)
% Current number of equations to process: 29
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced : [31] join(meet(meet(X,Y),Z),X) -> X
% Current number of equations to process: 35
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced : [32] join(meet(X,meet(Y,Z)),Z) -> Z
% Current number of equations to process: 34
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced : [33] meet(X,join(join(Y,X),Z)) -> X
% Current number of equations to process: 38
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced : [34] meet(join(X,join(Y,Z)),Z) -> Z
% Current number of equations to process: 37
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced : [35] meet(join(join(X,Y),Z),X) -> X
% Current number of equations to process: 49
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced : [36] join(join(X,Y),meet(Z,Y)) -> join(X,Y)
% Current number of equations to process: 48
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced : [37] join(X,meet(meet(Y,X),Z)) -> X
% Current number of equations to process: 56
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced : [38] meet(meet(X,Y),join(Z,X)) -> meet(X,Y)
% Current number of equations to process: 76
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced : [39] join(meet(X,Y),join(Z,Y)) -> join(Z,Y)
% Current number of equations to process: 75
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced : [40] meet(meet(X,Y),join(Y,Z)) -> meet(X,Y)
% Current number of equations to process: 73
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced : [41] meet(meet(X,Y),join(X,Z)) -> meet(X,Y)
% Current number of equations to process: 72
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced : [42] join(join(X,Y),meet(Z,X)) -> join(X,Y)
% Current number of equations to process: 71
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced : [43] join(meet(X,Y),join(Y,Z)) -> join(Y,Z)
% Current number of equations to process: 70
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced : [44] join(join(X,Y),meet(Y,Z)) -> join(X,Y)
% Current number of equations to process: 69
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced : [45] join(join(X,Y),meet(X,Z)) -> join(X,Y)
% Current number of equations to process: 68
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced : [46] meet(join(X,Y),meet(Z,Y)) -> meet(Z,Y)
% Current number of equations to process: 66
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced : [47] meet(join(X,Y),meet(Y,Z)) -> meet(Y,Z)
% Current number of equations to process: 65
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced : [48] join(meet(meet(X,Y),Z),Y) -> Y
% Current number of equations to process: 82
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced : [49] meet(join(join(X,Y),Z),Y) -> Y
% Current number of equations to process: 99
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced : [50] join(meet(X,Y),join(Z,X)) -> join(Z,X)
% Current number of equations to process: 126
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced : [51] join(meet(X,Y),join(X,Z)) -> join(X,Z)
% Current number of equations to process: 125
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced : [52] meet(join(X,Y),meet(Z,X)) -> meet(Z,X)
% Current number of equations to process: 124
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced : [53] meet(join(X,Y),meet(X,Z)) -> meet(X,Z)
% Current number of equations to process: 123
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced : [54] join(join(X,join(Y,Z)),Y) -> join(X,join(Y,Z))
% Current number of equations to process: 520
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced : [55] meet(meet(X,meet(Y,Z)),Y) -> meet(X,meet(Y,Z))
% Current number of equations to process: 549
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced : [56] join(X,join(Y,join(X,Z))) -> join(Y,join(X,Z))
% Current number of equations to process: 578
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced : [57] meet(X,meet(Y,meet(X,Z))) -> meet(Y,meet(X,Z))
% Current number of equations to process: 606
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced : [58] meet(meet(join(X,Y),join(Z,Y)),Y) -> Y
% Current number of equations to process: 634
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced : [59] join(X,join(meet(Y,X),meet(X,Z))) -> X
% Current number of equations to process: 673
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced : [60] meet(meet(join(X,Y),join(X,Z)),X) -> X
% Current number of equations to process: 715
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced : [61] join(join(meet(X,Y),meet(X,Z)),X) -> X
% Current number of equations to process: 758
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced : [62] meet(X,meet(join(Y,X),join(X,Z))) -> X
% Current number of equations to process: 806
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced : [63] join(join(meet(X,Y),meet(Z,Y)),Y) -> Y
% Current number of equations to process: 848
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced : [64] join(join(X,join(Y,Z)),Z) -> join(X,join(Y,Z))
% Current number of equations to process: 892
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced : [65] join(X,join(Y,join(Z,X))) -> join(Y,join(Z,X))
% Current number of equations to process: 922
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced : [66] join(join(join(X,Y),Z),X) -> join(join(X,Y),Z)
% Current number of equations to process: 953
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced : [67] join(X,join(join(X,Y),Z)) -> join(join(X,Y),Z)
% Current number of equations to process: 995
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced : [68] meet(meet(meet(X,Y),Z),X) -> meet(meet(X,Y),Z)
% Current number of equations to process: 1028
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced : [69] meet(X,meet(meet(X,Y),Z)) -> meet(meet(X,Y),Z)
% Current number of equations to process: 1064
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced : [70] meet(meet(X,meet(Y,Z)),Z) -> meet(X,meet(Y,Z))
% Current number of equations to process: 1095
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced : [71] meet(X,meet(Y,meet(Z,X))) -> meet(Y,meet(Z,X))
% Current number of equations to process: 1127
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced : [72] meet(X,join(Y,join(Z,join(X,V_3)))) -> X
% Current number of equations to process: 1163
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced : [73] meet(X,join(Y,join(Z,join(V_3,X)))) -> X
% Current number of equations to process: 1205
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced : [74] meet(X,join(Y,join(join(X,Z),V_3))) -> X
% Current number of equations to process: 1244
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced : [75] join(join(join(X,Y),Z),Y) -> join(join(X,Y),Z)
% Current number of equations to process: 1281
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced : [76] join(X,join(join(Y,X),Z)) -> join(join(Y,X),Z)
% Current number of equations to process: 1325
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced : [77] meet(X,join(Y,join(join(Z,X),V_3))) -> X
% Current number of equations to process: 1368
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced : [78] join(X,meet(Y,meet(Z,meet(X,V_3)))) -> X
% Current number of equations to process: 1406
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced : [79] join(X,meet(Y,meet(meet(X,Z),V_3))) -> X
% Current number of equations to process: 1452
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced : [80] join(X,meet(Y,meet(Z,meet(V_3,X)))) -> X
% Current number of equations to process: 1498
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced : [81] meet(meet(meet(X,Y),Z),Y) -> meet(meet(X,Y),Z)
% Current number of equations to process: 1545
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced : [82] meet(X,meet(meet(Y,X),Z)) -> meet(meet(Y,X),Z)
% Current number of equations to process: 1593
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced : [83] join(X,meet(Y,meet(meet(Z,X),V_3))) -> X
% Current number of equations to process: 1640
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced : [84] join(meet(X,meet(Y,meet(Z,V_3))),Z) -> Z
% Current number of equations to process: 1687
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced : [85] join(meet(X,meet(meet(Y,Z),V_3)),Y) -> Y
% Current number of equations to process: 1735
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced : [86] join(meet(X,meet(Y,meet(Z,V_3))),V_3) -> V_3
% Current number of equations to process: 1784
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced : [87] join(meet(X,meet(meet(Y,Z),V_3)),Z) -> Z
% Current number of equations to process: 1833
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced : [88] meet(X,join(join(Y,join(X,Z)),V_3)) -> X
% Current number of equations to process: 1884
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced : [89] meet(X,join(join(Y,join(Z,X)),V_3)) -> X
% Current number of equations to process: 1937
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced : [90] meet(X,join(join(join(X,Y),Z),V_3)) -> X
% Current number of equations to process: 1988
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced : [91] meet(X,join(join(join(Y,X),Z),V_3)) -> X
% Current number of equations to process: 2042
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced : [92] join(X,meet(meet(Y,meet(X,Z)),V_3)) -> X
% Current number of equations to process: 2077
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced : [93] join(X,meet(meet(meet(X,Y),Z),V_3)) -> X
% Current number of equations to process: 2128
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced : [94] join(X,meet(meet(Y,meet(Z,X)),V_3)) -> X
% Current number of equations to process: 2178
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced : [95] join(X,meet(meet(meet(Y,X),Z),V_3)) -> X
% Current number of equations to process: 2235
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced : [96] meet(join(X,join(Y,join(Z,V_3))),Z) -> Z
% Current number of equations to process: 2285
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced : [97] meet(join(X,join(Y,join(Z,V_3))),V_3) -> V_3
% Current number of equations to process: 2341
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced : [98] meet(join(X,join(join(Y,Z),V_3)),Y) -> Y
% Current number of equations to process: 2398
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced : [99] meet(join(X,join(join(Y,Z),V_3)),Z) -> Z
% Current number of equations to process: 2452
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced : [100] join(meet(meet(X,meet(Y,Z)),V_3),Y) -> Y
% Current number of equations to process: 2494
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced : [101] join(meet(meet(meet(X,Y),Z),V_3),X) -> X
% Current number of equations to process: 2550
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced : [102] join(meet(meet(X,meet(Y,Z)),V_3),Z) -> Z
% Current number of equations to process: 2605
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced : [103] join(meet(meet(meet(X,Y),Z),V_3),Y) -> Y
% Current number of equations to process: 2662
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced : [104] meet(join(join(X,join(Y,Z)),V_3),Y) -> Y
% Current number of equations to process: 2713
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced : [105] meet(join(join(X,join(Y,Z)),V_3),Z) -> Z
% Current number of equations to process: 2774
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced : [106] meet(join(join(join(X,Y),Z),V_3),X) -> X
% Current number of equations to process: 2832
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced : [107] meet(join(join(join(X,Y),Z),V_3),Y) -> Y
% Current number of equations to process: 2892
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced : [108] meet(meet(join(X,Y),join(Z,X)),X) -> X
% Current number of equations to process: 2901
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced : [109] meet(X,meet(join(Y,X),join(Z,X))) -> X
% Current number of equations to process: 2979
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced : [110] join(X,join(meet(X,Y),meet(X,Z))) -> X
% Current number of equations to process: 3054
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced : [111] join(X,join(meet(Y,X),meet(Z,X))) -> X
% Current number of equations to process: 3139
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced : [112] meet(X,meet(join(X,Y),join(X,Z))) -> X
% Current number of equations to process: 3218
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced : [113] join(join(meet(X,Y),meet(Z,X)),X) -> X
% Current number of equations to process: 3299
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced : [114] meet(X,meet(join(X,Y),join(Z,X))) -> X
% Current number of equations to process: 3218
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced : [115] join(X,join(meet(X,Y),meet(Z,X))) -> X
% Current number of equations to process: 3301
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced : [116] meet(meet(X,Y),join(Z,join(V_3,Y))) -> meet(X,Y)
% Current number of equations to process: 3383
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced : [117] join(join(X,Y),meet(Z,meet(V_3,Y))) -> join(X,Y)
% Current number of equations to process: 3471
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced : [118] join(meet(X,meet(Y,Z)),join(V_3,Z)) -> join(V_3,Z)
% Current number of equations to process: 3561
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced : [119] meet(meet(X,Y),join(join(Z,Y),V_3)) -> meet(X,Y)
% Current number of equations to process: 3649
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced : [120] meet(join(X,join(Y,Z)),meet(V_3,Z)) -> meet(V_3,Z)
% Current number of equations to process: 3742
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced : [121] join(join(X,Y),meet(meet(Z,Y),V_3)) -> join(X,Y)
% Current number of equations to process: 3834
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced : [122] join(join(X,Y),meet(Z,meet(Y,V_3))) -> join(X,Y)
% Current number of equations to process: 3931
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced : [123] meet(meet(X,Y),join(Z,join(V_3,X))) -> meet(X,Y)
% Current number of equations to process: 4028
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced : [124] join(meet(X,meet(Y,Z)),join(V_3,Y)) -> join(V_3,Y)
% Current number of equations to process: 4126
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced : [125] join(join(X,Y),meet(meet(Y,Z),V_3)) -> join(X,Y)
% Current number of equations to process: 4217
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced : [126] meet(join(join(X,Y),Z),meet(V_3,Y)) -> meet(V_3,Y)
% Current number of equations to process: 4311
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced : [127] meet(meet(X,Y),join(join(Y,Z),V_3)) -> meet(X,Y)
% Current number of equations to process: 4409
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced : [128] join(join(X,Y),meet(Z,meet(V_3,X))) -> join(X,Y)
% Current number of equations to process: 4507
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced : [129] meet(meet(X,Y),join(Z,join(Y,V_3))) -> meet(X,Y)
% Current number of equations to process: 4609
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced : [130] join(meet(X,meet(Y,Z)),join(Z,V_3)) -> join(Z,V_3)
% Current number of equations to process: 4710
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced : [131] join(join(X,Y),meet(meet(Z,X),V_3)) -> join(X,Y)
% Current number of equations to process: 4805
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced : [132] meet(meet(X,Y),join(join(Z,X),V_3)) -> meet(X,Y)
% Current number of equations to process: 4910
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced : [133] join(join(X,Y),meet(Z,meet(X,V_3))) -> join(X,Y)
% Current number of equations to process: 2840
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced : [134] meet(meet(X,Y),join(Z,join(X,V_3))) -> meet(X,Y)
% Current number of equations to process: 2944
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced : [135] join(meet(X,meet(Y,Z)),join(Y,V_3)) -> join(Y,V_3)
% Current number of equations to process: 3047
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced : [136] join(join(X,Y),meet(meet(X,Z),V_3)) -> join(X,Y)
% Current number of equations to process: 3144
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced : [137] meet(meet(X,Y),join(join(X,Z),V_3)) -> meet(X,Y)
% Current number of equations to process: 3247
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced : [138] meet(join(X,join(Y,Z)),meet(V_3,Y)) -> meet(V_3,Y)
% Current number of equations to process: 3349
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced : [139] meet(join(join(X,Y),Z),meet(V_3,X)) -> meet(V_3,X)
% Current number of equations to process: 3451
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced : [140] meet(join(X,join(Y,Z)),meet(Z,V_3)) -> meet(Z,V_3)
% Current number of equations to process: 3553
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced : [141] meet(join(X,join(Y,Z)),meet(Y,V_3)) -> meet(Y,V_3)
% Current number of equations to process: 3653
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced : [142] join(meet(meet(X,Y),Z),join(V_3,Y)) -> join(V_3,Y)
% Current number of equations to process: 3749
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced : [143] join(meet(meet(X,Y),Z),join(V_3,X)) -> join(V_3,X)
% Current number of equations to process: 3856
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced : [144] join(meet(meet(X,Y),Z),join(Y,V_3)) -> join(Y,V_3)
% Current number of equations to process: 3962
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced : [145] join(meet(meet(X,Y),Z),join(X,V_3)) -> join(X,V_3)
% Current number of equations to process: 4074
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced : [146] meet(join(join(X,Y),Z),meet(Y,V_3)) -> meet(Y,V_3)
% Current number of equations to process: 4183
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced : [147] meet(join(join(X,Y),Z),meet(X,V_3)) -> meet(X,V_3)
% Current number of equations to process: 4296
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [148] meet(meet(X,meet(Y,Z)),join(V_3,Y)) -> meet(X,meet(Y,Z))
% Current number of equations to process: 4122
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [149] meet(meet(X,meet(Y,Z)),join(Y,V_3)) -> meet(X,meet(Y,Z))
% Current number of equations to process: 4240
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [150] meet(meet(meet(X,Y),Z),join(V_3,X)) -> meet(meet(X,Y),Z)
% Current number of equations to process: 4356
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [151] join(join(X,join(Y,Z)),meet(V_3,Y)) -> join(X,join(Y,Z))
% Current number of equations to process: 4473
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [152] join(join(X,join(Y,Z)),meet(V_3,Z)) -> join(X,join(Y,Z))
% Current number of equations to process: 4595
% Current number of ordered equations: 1
% Current number of rules: 151
% New rule produced :
% [153] meet(meet(X,meet(Y,Z)),join(V_3,Z)) -> meet(X,meet(Y,Z))
% Current number of equations to process: 4595
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [154] join(join(join(X,Y),Z),meet(V_3,X)) -> join(join(X,Y),Z)
% Current number of equations to process: 4839
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [155] join(meet(X,Y),join(Z,join(Y,V_3))) -> join(Z,join(Y,V_3))
% Current number of equations to process: 4962
% Current number of ordered equations: 1
% Current number of rules: 154
% New rule produced :
% [156] meet(join(X,Y),meet(Z,meet(Y,V_3))) -> meet(Z,meet(Y,V_3))
% Current number of equations to process: 4962
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [157] join(join(X,join(Y,Z)),meet(Y,V_3)) -> join(X,join(Y,Z))
% Current number of equations to process: 2557
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [158] meet(meet(meet(X,Y),Z),join(X,V_3)) -> meet(meet(X,Y),Z)
% Current number of equations to process: 2680
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [159] join(meet(X,Y),join(Z,join(X,V_3))) -> join(Z,join(X,V_3))
% Current number of equations to process: 2804
% Current number of ordered equations: 1
% Current number of rules: 158
% New rule produced :
% [160] meet(join(X,Y),meet(meet(Y,Z),V_3)) -> meet(meet(Y,Z),V_3)
% Current number of equations to process: 2804
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [161] join(meet(X,Y),join(Z,join(V_3,Y))) -> join(Z,join(V_3,Y))
% Current number of equations to process: 3053
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [162] join(meet(X,Y),join(join(Y,Z),V_3)) -> join(join(Y,Z),V_3)
% Current number of equations to process: 3183
% Current number of ordered equations: 1
% Current number of rules: 161
% New rule produced :
% [163] meet(meet(X,meet(Y,Z)),join(Z,V_3)) -> meet(X,meet(Y,Z))
% Current number of equations to process: 3183
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [164] meet(join(X,Y),meet(Z,meet(V_3,Y))) -> meet(Z,meet(V_3,Y))
% Current number of equations to process: 3442
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [165] join(join(join(X,Y),Z),meet(V_3,Y)) -> join(join(X,Y),Z)
% Current number of equations to process: 3572
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [166] join(meet(X,Y),join(join(Z,Y),V_3)) -> join(join(Z,Y),V_3)
% Current number of equations to process: 3706
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [167] join(join(X,join(Y,Z)),meet(Z,V_3)) -> join(X,join(Y,Z))
% Current number of equations to process: 3836
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [168] join(meet(X,Y),join(Z,join(V_3,X))) -> join(Z,join(V_3,X))
% Current number of equations to process: 3966
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [169] meet(join(X,Y),meet(Z,meet(X,V_3))) -> meet(Z,meet(X,V_3))
% Current number of equations to process: 4096
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [170] join(join(join(X,Y),Z),meet(X,V_3)) -> join(join(X,Y),Z)
% Current number of equations to process: 4231
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [171] join(meet(X,Y),join(join(X,Z),V_3)) -> join(join(X,Z),V_3)
% Current number of equations to process: 4370
% Current number of ordered equations: 1
% Current number of rules: 170
% New rule produced :
% [172] meet(join(X,Y),meet(meet(X,Z),V_3)) -> meet(meet(X,Z),V_3)
% Current number of equations to process: 4370
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [173] meet(join(X,Y),meet(Z,meet(V_3,X))) -> meet(Z,meet(V_3,X))
% Current number of equations to process: 4642
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [174] meet(meet(meet(X,Y),Z),join(V_3,Y)) -> meet(meet(X,Y),Z)
% Current number of equations to process: 4778
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [175] join(join(join(X,Y),Z),meet(Y,V_3)) -> join(join(X,Y),Z)
% Current number of equations to process: 4917
% Current number of ordered equations: 1
% Current number of rules: 174
% New rule produced :
% [176] meet(meet(meet(X,Y),Z),join(Y,V_3)) -> meet(meet(X,Y),Z)
% Current number of equations to process: 4917
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [177] meet(join(X,Y),meet(meet(Z,Y),V_3)) -> meet(meet(Z,Y),V_3)
% Current number of equations to process: 3048
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced : [178] meet(X,join(Y,meet(join(Z,X),join(X,V_3)))) -> X
% Current number of equations to process: 3193
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced : [179] meet(X,join(meet(join(Y,X),join(X,Z)),V_3)) -> X
% Current number of equations to process: 3341
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced : [180] join(X,meet(Y,join(meet(Z,X),meet(X,V_3)))) -> X
% Current number of equations to process: 3492
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced : [181] join(meet(X,join(meet(Y,Z),meet(Z,V_3))),Z) -> Z
% Current number of equations to process: 3645
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [182] join(meet(X,Y),join(join(Z,X),V_3)) -> join(join(Z,X),V_3)
% Current number of equations to process: 3801
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced : [183] join(X,meet(join(meet(Y,X),meet(X,Z)),V_3)) -> X
% Current number of equations to process: 3942
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced : [184] meet(join(X,meet(join(Y,Z),join(Z,V_3))),Z) -> Z
% Current number of equations to process: 4093
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [185] meet(join(X,Y),meet(meet(Z,X),V_3)) -> meet(meet(Z,X),V_3)
% Current number of equations to process: 4254
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced : [186] join(meet(join(meet(X,Y),meet(Y,Z)),V_3),Y) -> Y
% Current number of equations to process: 4381
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced : [187] meet(join(meet(join(X,Y),join(Y,Z)),V_3),Y) -> Y
% Current number of equations to process: 4530
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced : [188] meet(meet(join(X,join(Y,Z)),join(Y,V_3)),Y) -> Y
% Current number of equations to process: 4685
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced : [189] join(join(meet(X,meet(Y,Z)),meet(Y,V_3)),Y) -> Y
% Current number of equations to process: 4849
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced : [190] meet(meet(join(X,Y),join(Z,join(Y,V_3))),Y) -> Y
% Current number of equations to process: 2544
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced : [191] join(join(meet(X,Y),meet(Z,meet(Y,V_3))),Y) -> Y
% Current number of equations to process: 2713
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced : [192] meet(X,join(Y,meet(join(Z,X),join(V_3,X)))) -> X
% Current number of equations to process: 2882
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced : [193] meet(X,join(meet(join(Y,X),join(Z,X)),V_3)) -> X
% Current number of equations to process: 3047
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced : [194] meet(join(X,meet(join(Y,Z),join(V_3,Z))),Z) -> Z
% Current number of equations to process: 3211
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced : [195] meet(join(meet(join(X,Y),join(Z,Y)),V_3),Y) -> Y
% Current number of equations to process: 3374
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced : [196] meet(meet(join(X,join(Y,Z)),join(V_3,Y)),Y) -> Y
% Current number of equations to process: 3538
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced : [197] join(X,join(meet(Y,meet(X,Z)),meet(X,V_3))) -> X
% Current number of equations to process: 3710
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced : [198] join(X,join(meet(Y,X),meet(Z,meet(X,V_3)))) -> X
% Current number of equations to process: 3903
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced : [199] meet(X,join(Y,meet(join(X,Z),join(X,V_3)))) -> X
% Current number of equations to process: 4093
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced : [200] meet(X,join(meet(join(X,Y),join(X,Z)),V_3)) -> X
% Current number of equations to process: 4263
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced : [201] meet(join(X,meet(join(Y,Z),join(Y,V_3))),Y) -> Y
% Current number of equations to process: 4432
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced : [202] meet(join(meet(join(X,Y),join(X,Z)),V_3),X) -> X
% Current number of equations to process: 4605
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced : [203] meet(meet(join(X,Y),join(Z,join(X,V_3))),X) -> X
% Current number of equations to process: 4776
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced : [204] join(X,meet(Y,join(meet(X,Z),meet(X,V_3)))) -> X
% Current number of equations to process: 4959
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced : [205] join(meet(X,join(meet(Y,Z),meet(Y,V_3))),Y) -> Y
% Current number of equations to process: 1235
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced : [206] join(X,meet(join(meet(X,Y),meet(X,Z)),V_3)) -> X
% Current number of equations to process: 1428
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced : [207] join(meet(join(meet(X,Y),meet(X,Z)),V_3),X) -> X
% Current number of equations to process: 1616
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced : [208] join(join(meet(X,Y),meet(Z,meet(X,V_3))),X) -> X
% Current number of equations to process: 1807
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced : [209] meet(X,meet(join(Y,join(X,Z)),join(X,V_3))) -> X
% Current number of equations to process: 2003
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced : [210] meet(X,meet(join(Y,X),join(Z,join(X,V_3)))) -> X
% Current number of equations to process: 2193
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced : [211] join(X,meet(Y,join(meet(Z,X),meet(V_3,X)))) -> X
% Current number of equations to process: 2382
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced : [212] join(meet(X,join(meet(Y,Z),meet(V_3,Z))),Z) -> Z
% Current number of equations to process: 2569
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced : [213] join(X,meet(join(meet(Y,X),meet(Z,X)),V_3)) -> X
% Current number of equations to process: 2761
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced : [214] join(meet(join(meet(X,Y),meet(Z,Y)),V_3),Y) -> Y
% Current number of equations to process: 2946
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced : [215] join(join(meet(X,meet(Y,Z)),meet(V_3,Y)),Y) -> Y
% Current number of equations to process: 3136
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced : [216] meet(meet(join(X,join(Y,Z)),join(V_3,Z)),Z) -> Z
% Current number of equations to process: 3331
% Current number of ordered equations: 2
% Current number of rules: 215
% New rule produced : [217] meet(meet(join(X,Y),join(Z,join(V_3,Y))),Y) -> Y
% Current number of equations to process: 3334
% Current number of ordered equations: 1
% Current number of rules: 216
% New rule produced : [218] meet(X,meet(join(Y,join(Z,X)),join(X,V_3))) -> X
% Current number of equations to process: 3732
% Current number of ordered equations: 1
% Current number of rules: 217
% New rule produced : [219] meet(meet(join(X,join(Y,Z)),join(Z,V_3)),Z) -> Z
% Current number of equations to process: 3925
% Current number of ordered equations: 1
% Current number of rules: 218
% New rule produced : [220] meet(meet(join(X,Y),join(Z,join(V_3,X))),X) -> X
% Current number of equations to process: 3927
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced : [221] meet(X,meet(join(Y,X),join(Z,join(V_3,X)))) -> X
% Current number of equations to process: 4327
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced : [222] meet(meet(join(join(X,Y),Z),join(X,V_3)),X) -> X
% Current number of equations to process: 4525
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced : [223] meet(meet(join(join(X,Y),Z),join(V_3,X)),X) -> X
% Current number of equations to process: 4722
% Current number of ordered equations: 1
% Current number of rules: 222
% New rule produced : [224] meet(meet(join(X,Y),join(join(Y,Z),V_3)),Y) -> Y
% Current number of equations to process: 4724
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced : [225] meet(X,meet(join(join(X,Y),Z),join(X,V_3))) -> X
% Current number of equations to process: 3145
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced : [226] meet(meet(join(X,Y),join(join(X,Z),V_3)),X) -> X
% Current number of equations to process: 3343
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced : [227] meet(X,meet(join(Y,X),join(join(X,Z),V_3))) -> X
% Current number of equations to process: 3548
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced : [228] join(join(meet(meet(X,Y),Z),meet(X,V_3)),X) -> X
% Current number of equations to process: 3751
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced : [229] join(X,join(meet(meet(X,Y),Z),meet(X,V_3))) -> X
% Current number of equations to process: 3988
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced : [230] join(join(meet(meet(X,Y),Z),meet(V_3,X)),X) -> X
% Current number of equations to process: 4233
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced : [231] join(join(meet(X,Y),meet(meet(Y,Z),V_3)),Y) -> Y
% Current number of equations to process: 4470
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced : [232] join(X,join(meet(Y,X),meet(meet(X,Z),V_3))) -> X
% Current number of equations to process: 4702
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced : [233] join(join(meet(X,Y),meet(meet(X,Z),V_3)),X) -> X
% Current number of equations to process: 4940
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced : [234] join(join(meet(X,meet(Y,Z)),meet(Z,V_3)),Z) -> Z
% Current number of equations to process: 1926
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced : [235] join(X,join(meet(Y,meet(Z,X)),meet(X,V_3))) -> X
% Current number of equations to process: 2156
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced : [236] join(join(meet(X,meet(Y,Z)),meet(V_3,Z)),Z) -> Z
% Current number of equations to process: 2391
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced : [237] join(join(meet(X,Y),meet(Z,meet(V_3,Y))),Y) -> Y
% Current number of equations to process: 2619
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced : [238] join(X,join(meet(Y,X),meet(Z,meet(V_3,X)))) -> X
% Current number of equations to process: 2842
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced : [239] join(join(meet(X,Y),meet(Z,meet(V_3,X))),X) -> X
% Current number of equations to process: 3070
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced : [240] meet(X,join(Y,join(Z,join(V_3,join(X,V_4))))) -> X
% Current number of equations to process: 3306
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced : [241] meet(X,join(join(Y,join(Z,join(X,V_3))),V_4)) -> X
% Current number of equations to process: 3474
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [242] meet(join(X,join(Y,join(Z,join(V_3,V_4)))),V_3) -> V_3
% Current number of equations to process: 3643
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced : [243] meet(join(join(X,join(Y,join(Z,V_3))),V_4),Z) -> Z
% Current number of equations to process: 3815
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced : [244] meet(X,join(Y,join(Z,join(join(X,V_3),V_4)))) -> X
% Current number of equations to process: 3987
% Current number of ordered equations: 1
% Current number of rules: 243
% New rule produced : [245] meet(X,join(Y,join(join(Z,join(X,V_3)),V_4))) -> X
% Current number of equations to process: 3987
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced : [246] meet(X,join(Y,join(Z,join(V_3,join(V_4,X))))) -> X
% Current number of equations to process: 4323
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced : [247] meet(X,join(Y,join(join(join(X,Z),V_3),V_4))) -> X
% Current number of equations to process: 4483
% Current number of ordered equations: 1
% Current number of rules: 246
% New rule produced : [248] meet(X,join(join(join(Y,join(X,Z)),V_3),V_4)) -> X
% Current number of equations to process: 4483
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced : [249] meet(X,join(join(Y,join(Z,join(V_3,X))),V_4)) -> X
% Current number of equations to process: 4816
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [250] meet(join(X,join(Y,join(Z,join(V_3,V_4)))),V_4) -> V_4
% Current number of equations to process: 4977
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced :
% [251] meet(join(join(X,join(Y,join(Z,V_3))),V_4),V_3) -> V_3
% Current number of equations to process: 2449
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced : [252] meet(X,join(Y,join(Z,join(join(V_3,X),V_4)))) -> X
% Current number of equations to process: 2612
% Current number of ordered equations: 1
% Current number of rules: 251
% New rule produced : [253] meet(X,join(Y,join(join(Z,join(V_3,X)),V_4))) -> X
% Current number of equations to process: 2613
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced : [254] meet(X,join(Y,join(join(join(Z,X),V_3),V_4))) -> X
% Current number of equations to process: 2933
% Current number of ordered equations: 1
% Current number of rules: 253
% New rule produced : [255] meet(X,join(join(join(Y,join(Z,X)),V_3),V_4)) -> X
% Current number of equations to process: 2934
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced : [256] meet(X,join(join(Y,join(join(X,Z),V_3)),V_4)) -> X
% Current number of equations to process: 3255
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced : [257] meet(join(X,join(Y,join(join(Z,V_3),V_4))),Z) -> Z
% Current number of equations to process: 3422
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced : [258] meet(join(join(X,join(join(Y,Z),V_3)),V_4),Y) -> Y
% Current number of equations to process: 3595
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced : [259] meet(X,join(join(join(join(X,Y),Z),V_3),V_4)) -> X
% Current number of equations to process: 3762
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced : [260] meet(meet(join(join(X,Y),Z),join(Y,V_3)),Y) -> Y
% Current number of equations to process: 3925
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced : [261] meet(meet(join(join(X,Y),Z),join(V_3,Y)),Y) -> Y
% Current number of equations to process: 4156
% Current number of ordered equations: 1
% Current number of rules: 260
% New rule produced : [262] meet(meet(join(X,Y),join(join(Z,Y),V_3)),Y) -> Y
% Current number of equations to process: 4159
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced : [263] meet(X,meet(join(join(Y,X),Z),join(X,V_3))) -> X
% Current number of equations to process: 4621
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced : [264] meet(meet(join(X,Y),join(join(Z,X),V_3)),X) -> X
% Current number of equations to process: 4840
% Current number of ordered equations: 0
% Current number of rules: 263
% New rule produced : [265] meet(X,meet(join(Y,X),join(join(Z,X),V_3))) -> X
% Current number of equations to process: 1561
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced : [266] meet(X,join(join(Y,join(join(Z,X),V_3)),V_4)) -> X
% Current number of equations to process: 1786
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced :
% [267] meet(join(X,join(Y,join(join(Z,V_3),V_4))),V_3) -> V_3
% Current number of equations to process: 1945
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced : [268] meet(join(join(X,join(join(Y,Z),V_3)),V_4),Z) -> Z
% Current number of equations to process: 2111
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced : [269] meet(X,join(join(join(join(Y,X),Z),V_3),V_4)) -> X
% Current number of equations to process: 2269
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced : [270] join(X,meet(Y,meet(Z,meet(V_3,meet(X,V_4))))) -> X
% Current number of equations to process: 2423
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [271] join(meet(X,meet(Y,meet(Z,meet(V_3,V_4)))),V_3) -> V_3
% Current number of equations to process: 2626
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced : [272] join(X,meet(meet(Y,meet(Z,meet(X,V_3))),V_4)) -> X
% Current number of equations to process: 2828
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced : [273] join(meet(meet(X,meet(Y,meet(Z,V_3))),V_4),Z) -> Z
% Current number of equations to process: 3031
% Current number of ordered equations: 0
% Current number of rules: 272
% New rule produced : [274] join(X,meet(Y,meet(meet(Z,meet(X,V_3)),V_4))) -> X
% Current number of equations to process: 3233
% Current number of ordered equations: 1
% Current number of rules: 273
% New rule produced : [275] join(X,meet(Y,meet(meet(meet(X,Z),V_3),V_4))) -> X
% Current number of equations to process: 3436
% Current number of ordered equations: 2
% Current number of rules: 274
% New rule produced : [276] join(X,meet(meet(meet(Y,meet(X,Z)),V_3),V_4)) -> X
% Current number of equations to process: 3436
% Current number of ordered equations: 1
% Current number of rules: 275
% New rule produced : [277] join(X,meet(Y,meet(Z,meet(meet(X,V_3),V_4)))) -> X
% Current number of equations to process: 3843
% Current number of ordered equations: 0
% Current number of rules: 276
% New rule produced : [278] join(X,meet(Y,meet(Z,meet(V_3,meet(V_4,X))))) -> X
% Current number of equations to process: 4044
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced : [279] join(meet(X,meet(Y,meet(meet(Z,V_3),V_4))),Z) -> Z
% Current number of equations to process: 4244
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced : [280] join(X,meet(meet(Y,meet(meet(X,Z),V_3)),V_4)) -> X
% Current number of equations to process: 4446
% Current number of ordered equations: 0
% Current number of rules: 279
% New rule produced : [281] join(meet(meet(X,meet(meet(Y,Z),V_3)),V_4),Y) -> Y
% Current number of equations to process: 4648
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced : [282] join(X,meet(meet(meet(meet(X,Y),Z),V_3),V_4)) -> X
% Current number of equations to process: 4847
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced : [283] join(X,meet(Y,meet(meet(Z,meet(V_3,X)),V_4))) -> X
% Current number of equations to process: 1982
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced :
% [284] join(meet(X,meet(Y,meet(Z,meet(V_3,V_4)))),V_4) -> V_4
% Current number of equations to process: 2184
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced : [285] join(X,meet(meet(Y,meet(Z,meet(V_3,X))),V_4)) -> X
% Current number of equations to process: 2384
% Current number of ordered equations: 0
% Current number of rules: 284
% New rule produced :
% [286] join(meet(meet(X,meet(Y,meet(Z,V_3))),V_4),V_3) -> V_3
% Current number of equations to process: 2586
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced : [287] join(X,meet(Y,meet(Z,meet(meet(V_3,X),V_4)))) -> X
% Current number of equations to process: 2784
% Current number of ordered equations: 0
% Current number of rules: 286
% New rule produced : [288] join(X,meet(Y,meet(meet(meet(Z,X),V_3),V_4))) -> X
% Current number of equations to process: 2986
% Current number of ordered equations: 1
% Current number of rules: 287
% New rule produced : [289] join(X,meet(meet(meet(Y,meet(Z,X)),V_3),V_4)) -> X
% Current number of equations to process: 2986
% Current number of ordered equations: 0
% Current number of rules: 288
% New rule produced : [290] join(join(meet(meet(X,Y),Z),meet(Y,V_3)),Y) -> Y
% Current number of equations to process: 3389
% Current number of ordered equations: 0
% Current number of rules: 289
% New rule produced : [291] join(X,join(meet(meet(Y,X),Z),meet(X,V_3))) -> X
% Current number of equations to process: 3679
% Current number of ordered equations: 0
% Current number of rules: 290
% New rule produced : [292] join(join(meet(meet(X,Y),Z),meet(V_3,Y)),Y) -> Y
% Current number of equations to process: 3974
% Current number of ordered equations: 1
% Current number of rules: 291
% New rule produced : [293] join(join(meet(X,Y),meet(meet(Z,Y),V_3)),Y) -> Y
% Current number of equations to process: 3974
% Current number of ordered equations: 0
% Current number of rules: 292
% New rule produced : [294] join(X,join(meet(Y,X),meet(meet(Z,X),V_3))) -> X
% Current number of equations to process: 4557
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced : [295] join(join(meet(X,Y),meet(meet(Z,X),V_3)),X) -> X
% Current number of equations to process: 4855
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced :
% [296] join(meet(X,meet(Y,meet(meet(Z,V_3),V_4))),V_3) -> V_3
% Current number of equations to process: 1795
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced : [297] join(X,meet(meet(Y,meet(meet(Z,X),V_3)),V_4)) -> X
% Current number of equations to process: 1997
% Current number of ordered equations: 0
% Current number of rules: 296
% New rule produced : [298] join(meet(meet(X,meet(meet(Y,Z),V_3)),V_4),Z) -> Z
% Current number of equations to process: 2199
% Current number of ordered equations: 0
% Current number of rules: 297
% New rule produced : [299] join(X,meet(meet(meet(meet(Y,X),Z),V_3),V_4)) -> X
% Current number of equations to process: 2397
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced : [300] join(meet(X,meet(meet(Y,meet(Z,V_3)),V_4)),Z) -> Z
% Current number of equations to process: 2583
% Current number of ordered equations: 0
% Current number of rules: 299
% New rule produced : [301] join(meet(X,meet(meet(meet(Y,Z),V_3),V_4)),Y) -> Y
% Current number of equations to process: 2785
% Current number of ordered equations: 1
% Current number of rules: 300
% New rule produced : [302] join(meet(meet(meet(X,meet(Y,Z)),V_3),V_4),Y) -> Y
% Current number of equations to process: 2785
% Current number of ordered equations: 0
% Current number of rules: 301
% New rule produced : [303] join(meet(meet(meet(meet(X,Y),Z),V_3),V_4),X) -> X
% Current number of equations to process: 3176
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced :
% [304] join(meet(X,meet(meet(Y,meet(Z,V_3)),V_4)),V_3) -> V_3
% Current number of equations to process: 3369
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced : [305] join(meet(X,meet(meet(meet(Y,Z),V_3),V_4)),Z) -> Z
% Current number of equations to process: 3568
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced : [306] join(meet(meet(meet(X,meet(Y,Z)),V_3),V_4),Z) -> Z
% Current number of equations to process: 3759
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced : [307] join(meet(meet(meet(meet(X,Y),Z),V_3),V_4),Y) -> Y
% Current number of equations to process: 3946
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced : [308] meet(join(X,join(join(Y,join(Z,V_3)),V_4)),Z) -> Z
% Current number of equations to process: 4136
% Current number of ordered equations: 0
% Current number of rules: 307
% New rule produced : [309] meet(join(join(join(X,join(Y,Z)),V_3),V_4),Y) -> Y
% Current number of equations to process: 4349
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [310] meet(join(X,join(join(Y,join(Z,V_3)),V_4)),V_3) -> V_3
% Current number of equations to process: 4549
% Current number of ordered equations: 0
% Current number of rules: 309
% New rule produced : [311] meet(join(join(join(X,join(Y,Z)),V_3),V_4),Z) -> Z
% Current number of equations to process: 4755
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced : [312] meet(join(X,join(join(join(Y,Z),V_3),V_4)),Y) -> Y
% Current number of equations to process: 4946
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced : [313] meet(join(join(join(join(X,Y),Z),V_3),V_4),X) -> X
% Current number of equations to process: 2142
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced : [314] meet(join(X,join(join(join(Y,Z),V_3),V_4)),Z) -> Z
% Current number of equations to process: 2340
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced : [315] meet(join(join(join(join(X,Y),Z),V_3),V_4),Y) -> Y
% Current number of equations to process: 2543
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced : [316] meet(X,join(Y,meet(join(X,Z),join(V_3,X)))) -> X
% Current number of equations to process: 2500
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced : [317] meet(X,join(meet(join(X,Y),join(Z,X)),V_3)) -> X
% Current number of equations to process: 2775
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced : [318] meet(join(X,meet(join(Y,Z),join(V_3,Y))),Y) -> Y
% Current number of equations to process: 3049
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced : [319] meet(join(meet(join(X,Y),join(Z,X)),V_3),X) -> X
% Current number of equations to process: 3322
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced : [320] meet(X,meet(join(Y,join(X,Z)),join(V_3,X))) -> X
% Current number of equations to process: 3581
% Current number of ordered equations: 0
% Current number of rules: 319
% New rule produced : [321] meet(X,meet(join(Y,join(Z,X)),join(V_3,X))) -> X
% Current number of equations to process: 3888
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced : [322] meet(X,meet(join(join(X,Y),Z),join(V_3,X))) -> X
% Current number of equations to process: 4183
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced : [323] meet(X,meet(join(join(Y,X),Z),join(V_3,X))) -> X
% Current number of equations to process: 4492
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced : [324] join(X,join(meet(X,Y),meet(Z,meet(X,V_3)))) -> X
% Current number of equations to process: 4789
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced : [325] join(X,join(meet(X,Y),meet(meet(X,Z),V_3))) -> X
% Current number of equations to process: 2717
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced : [326] join(X,join(meet(X,Y),meet(Z,meet(V_3,X)))) -> X
% Current number of equations to process: 3051
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced : [327] join(X,join(meet(X,Y),meet(meet(Z,X),V_3))) -> X
% Current number of equations to process: 3378
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced : [328] join(X,join(meet(Y,meet(X,Z)),meet(V_3,X))) -> X
% Current number of equations to process: 3705
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced : [329] join(X,join(meet(meet(X,Y),Z),meet(V_3,X))) -> X
% Current number of equations to process: 4036
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced : [330] join(X,join(meet(Y,meet(Z,X)),meet(V_3,X))) -> X
% Current number of equations to process: 4366
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced : [331] join(X,join(meet(meet(Y,X),Z),meet(V_3,X))) -> X
% Current number of equations to process: 4687
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced : [332] meet(X,meet(join(X,Y),join(Z,join(X,V_3)))) -> X
% Current number of equations to process: 1533
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced : [333] meet(X,meet(join(X,Y),join(Z,join(V_3,X)))) -> X
% Current number of equations to process: 1863
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced : [334] meet(X,meet(join(X,Y),join(join(X,Z),V_3))) -> X
% Current number of equations to process: 2191
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced : [335] meet(X,meet(join(X,Y),join(join(Z,X),V_3))) -> X
% Current number of equations to process: 2519
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced : [336] join(X,meet(Y,join(meet(X,Z),meet(V_3,X)))) -> X
% Current number of equations to process: 2849
% Current number of ordered equations: 0
% Current number of rules: 335
% New rule produced : [337] join(meet(X,join(meet(Y,Z),meet(V_3,Y))),Y) -> Y
% Current number of equations to process: 3148
% Current number of ordered equations: 0
% Current number of rules: 336
% New rule produced : [338] join(X,meet(join(meet(X,Y),meet(Z,X)),V_3)) -> X
% Current number of equations to process: 3446
% Current number of ordered equations: 0
% Current number of rules: 337
% New rule produced : [339] join(meet(join(meet(X,Y),meet(Z,X)),V_3),X) -> X
% Current number of equations to process: 3743
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced :
% [340] join(join(meet(join(X,Y),Z),Y),join(X,Y)) -> join(X,Y)
% Current number of equations to process: 3366
% Current number of ordered equations: 0
% Current number of rules: 339
% New rule produced : [341] join(join(meet(X,Y),Z),join(Y,Z)) -> join(Y,Z)
% Current number of equations to process: 3391
% Current number of ordered equations: 0
% Current number of rules: 340
% New rule produced : [342] join(join(meet(X,Y),Z),join(X,Z)) -> join(X,Z)
% Current number of equations to process: 3390
% Current number of ordered equations: 0
% Current number of rules: 341
% New rule produced :
% [343] join(join(X,Y),join(join(X,Z),Y)) -> join(join(X,Z),Y)
% Current number of equations to process: 3460
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced :
% [344] join(join(X,Y),join(join(Z,X),Y)) -> join(join(Z,X),Y)
% Current number of equations to process: 3459
% Current number of ordered equations: 0
% Current number of rules: 343
% New rule produced : [345] join(join(X,Y),join(meet(Z,X),Y)) -> join(X,Y)
% Current number of equations to process: 3744
% Current number of ordered equations: 0
% Current number of rules: 344
% New rule produced : [346] join(join(X,Y),join(meet(X,Z),Y)) -> join(X,Y)
% Current number of equations to process: 4105
% Current number of ordered equations: 0
% Current number of rules: 345
% New rule produced : [347] meet(join(X,Y),join(join(X,Z),Y)) -> join(X,Y)
% Current number of equations to process: 4433
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced : [348] meet(join(join(X,Y),Z),join(X,Z)) -> join(X,Z)
% Current number of equations to process: 4432
% Current number of ordered equations: 0
% Current number of rules: 347
% New rule produced : [349] join(join(X,meet(Y,Z)),join(X,Z)) -> join(X,Z)
% Current number of equations to process: 4431
% Current number of ordered equations: 0
% Current number of rules: 348
% New rule produced : [350] join(join(X,meet(Y,Z)),join(X,Y)) -> join(X,Y)
% Current number of equations to process: 4430
% Current number of ordered equations: 0
% Current number of rules: 349
% New rule produced :
% [351] meet(join(meet(X,Y),Z),join(Y,Z)) -> join(meet(X,Y),Z)
% Current number of equations to process: 4629
% Current number of ordered equations: 0
% Current number of rules: 350
% New rule produced :
% [352] meet(join(X,Y),join(meet(Z,X),Y)) -> join(meet(Z,X),Y)
% Current number of equations to process: 4628
% Current number of ordered equations: 0
% Current number of rules: 351
% New rule produced :
% [353] meet(join(meet(X,Y),Z),join(X,Z)) -> join(meet(X,Y),Z)
% Current number of equations to process: 4627
% Current number of ordered equations: 0
% Current number of rules: 352
% New rule produced :
% [354] meet(join(X,Y),join(meet(X,Z),Y)) -> join(meet(X,Z),Y)
% Current number of equations to process: 4626
% Current number of ordered equations: 0
% Current number of rules: 353
% New rule produced :
% [355] join(join(join(X,Y),Z),join(X,Z)) -> join(join(X,Y),Z)
% Current number of equations to process: 4625
% Current number of ordered equations: 0
% Current number of rules: 354
% New rule produced :
% [356] join(join(X,Y),join(X,join(Y,Z))) -> join(X,join(Y,Z))
% Current number of equations to process: 4624
% Current number of ordered equations: 0
% Current number of rules: 355
% New rule produced :
% [357] join(join(X,Y),join(X,join(Z,Y))) -> join(X,join(Z,Y))
% Current number of equations to process: 4623
% Current number of ordered equations: 0
% Current number of rules: 356
% New rule produced : [358] join(join(X,Y),join(Y,X)) -> join(Y,X)
% Current number of equations to process: 4636
% Current number of ordered equations: 0
% Current number of rules: 357
% New rule produced : [359] meet(join(X,Y),join(join(Z,X),Y)) -> join(X,Y)
% Current number of equations to process: 4712
% Current number of ordered equations: 0
% Current number of rules: 358
% New rule produced : [360] meet(join(join(X,Y),Z),join(Y,Z)) -> join(Y,Z)
% Current number of equations to process: 4711
% Current number of ordered equations: 0
% Current number of rules: 359
% New rule produced : [361] join(join(X,meet(Y,Z)),join(Z,X)) -> join(Z,X)
% Current number of equations to process: 4710
% Current number of ordered equations: 0
% Current number of rules: 360
% New rule produced : [362] join(join(X,meet(Y,Z)),join(Y,X)) -> join(Y,X)
% Current number of equations to process: 4709
% Current number of ordered equations: 0
% Current number of rules: 361
% New rule produced :
% [363] join(join(join(X,Y),Z),join(Y,Z)) -> join(join(X,Y),Z)
% Current number of equations to process: 4908
% Current number of ordered equations: 0
% Current number of rules: 362
% New rule produced :
% [364] join(join(X,Y),join(join(Y,Z),X)) -> join(join(Y,Z),X)
% Current number of equations to process: 4907
% Current number of ordered equations: 0
% Current number of rules: 363
% New rule produced :
% [365] join(join(X,Y),join(join(Z,Y),X)) -> join(join(Z,Y),X)
% Current number of equations to process: 4906
% Current number of ordered equations: 0
% Current number of rules: 364
% New rule produced : [366] meet(join(X,Y),join(X,join(Y,Z))) -> join(X,Y)
% Current number of equations to process: 3088
% Current number of ordered equations: 0
% Current number of rules: 365
% New rule produced : [367] meet(join(X,Y),join(X,join(Z,Y))) -> join(X,Y)
% Current number of equations to process: 3087
% Current number of ordered equations: 0
% Current number of rules: 366
% New rule produced : [368] meet(join(X,join(Y,Z)),join(X,Y)) -> join(X,Y)
% Current number of equations to process: 3376
% Current number of ordered equations: 0
% Current number of rules: 367
% New rule produced : [369] meet(join(X,join(Y,Z)),join(X,Z)) -> join(X,Z)
% Current number of equations to process: 3375
% Current number of ordered equations: 0
% Current number of rules: 368
% New rule produced : [370] join(X,join(meet(Z,X),Y)) -> join(X,Y)
% Rule [59] join(X,join(meet(Y,X),meet(X,Z))) -> X collapsed.
% Rule [111] join(X,join(meet(Y,X),meet(Z,X))) -> X collapsed.
% Rule [198] join(X,join(meet(Y,X),meet(Z,meet(X,V_3)))) -> X collapsed.
% Rule [232] join(X,join(meet(Y,X),meet(meet(X,Z),V_3))) -> X collapsed.
% Rule [238] join(X,join(meet(Y,X),meet(Z,meet(V_3,X)))) -> X collapsed.
% Rule [294] join(X,join(meet(Y,X),meet(meet(Z,X),V_3))) -> X collapsed.
% Current number of equations to process: 3553
% Current number of ordered equations: 0
% Current number of rules: 363
% New rule produced : [371] join(X,join(meet(X,Z),Y)) -> join(X,Y)
% Rule [110] join(X,join(meet(X,Y),meet(X,Z))) -> X collapsed.
% Rule [115] join(X,join(meet(X,Y),meet(Z,X))) -> X collapsed.
% Rule [324] join(X,join(meet(X,Y),meet(Z,meet(X,V_3)))) -> X collapsed.
% Rule [325] join(X,join(meet(X,Y),meet(meet(X,Z),V_3))) -> X collapsed.
% Rule [326] join(X,join(meet(X,Y),meet(Z,meet(V_3,X)))) -> X collapsed.
% Rule [327] join(X,join(meet(X,Y),meet(meet(Z,X),V_3))) -> X collapsed.
% Current number of equations to process: 3554
% Current number of ordered equations: 0
% Current number of rules: 358
% New rule produced : [372] join(join(X,Y),join(X,meet(Z,Y))) -> join(X,Y)
% Current number of equations to process: 3674
% Current number of ordered equations: 0
% Current number of rules: 359
% New rule produced : [373] join(join(X,Y),join(X,meet(Y,Z))) -> join(X,Y)
% Current number of equations to process: 4042
% Current number of ordered equations: 0
% Current number of rules: 360
% New rule produced :
% [374] meet(join(X,meet(Y,Z)),join(X,Z)) -> join(X,meet(Y,Z))
% Current number of equations to process: 4615
% Current number of ordered equations: 0
% Current number of rules: 361
% New rule produced :
% [375] meet(join(X,meet(Y,Z)),join(X,Y)) -> join(X,meet(Y,Z))
% Current number of equations to process: 4614
% Current number of ordered equations: 0
% Current number of rules: 362
% New rule produced :
% [376] meet(join(X,Y),join(X,meet(Z,Y))) -> join(X,meet(Z,Y))
% Current number of equations to process: 4613
% Current number of ordered equations: 0
% Current number of rules: 363
% New rule produced :
% [377] meet(join(X,Y),join(X,meet(Y,Z))) -> join(X,meet(Y,Z))
% Current number of equations to process: 4612
% Current number of ordered equations: 0
% Current number of rules: 364
% New rule produced :
% [378] join(join(X,join(Y,Z)),join(X,Y)) -> join(X,join(Y,Z))
% Current number of equations to process: 2120
% Current number of ordered equations: 0
% Current number of rules: 365
% New rule produced :
% [379] join(join(X,join(Y,Z)),join(X,Z)) -> join(X,join(Y,Z))
% Current number of equations to process: 2119
% Current number of ordered equations: 0
% Current number of rules: 366
% New rule produced : [380] join(join(X,Y),join(X,Z)) -> join(join(X,Y),Z)
% Rule [349] join(join(X,meet(Y,Z)),join(X,Z)) -> join(X,Z) collapsed.
% Rule [350] join(join(X,meet(Y,Z)),join(X,Y)) -> join(X,Y) collapsed.
% Rule [356] join(join(X,Y),join(X,join(Y,Z))) -> join(X,join(Y,Z)) collapsed.
% Rule [357] join(join(X,Y),join(X,join(Z,Y))) -> join(X,join(Z,Y)) collapsed.
% Rule [372] join(join(X,Y),join(X,meet(Z,Y))) -> join(X,Y) collapsed.
% Rule [373] join(join(X,Y),join(X,meet(Y,Z))) -> join(X,Y) collapsed.
% Rule [378] join(join(X,join(Y,Z)),join(X,Y)) -> join(X,join(Y,Z)) collapsed.
% Rule [379] join(join(X,join(Y,Z)),join(X,Z)) -> join(X,join(Y,Z)) collapsed.
% Current number of equations to process: 2130
% Current number of ordered equations: 0
% Current number of rules: 359
% New rule produced : [381] join(join(X,meet(Y,Z)),Z) -> join(X,Z)
% Rule [63] join(join(meet(X,Y),meet(Z,Y)),Y) -> Y collapsed.
% Rule [113] join(join(meet(X,Y),meet(Z,X)),X) -> X collapsed.
% Rule [215] join(join(meet(X,meet(Y,Z)),meet(V_3,Y)),Y) -> Y collapsed.
% Rule [230] join(join(meet(meet(X,Y),Z),meet(V_3,X)),X) -> X collapsed.
% Rule [236] join(join(meet(X,meet(Y,Z)),meet(V_3,Z)),Z) -> Z collapsed.
% Rule [292] join(join(meet(meet(X,Y),Z),meet(V_3,Y)),Y) -> Y collapsed.
% Current number of equations to process: 2129
% Current number of ordered equations: 0
% Current number of rules: 354
% New rule produced : [382] join(join(X,meet(Y,Z)),Y) -> join(X,Y)
% Rule [3] join(join(meet(X,Y),meet(Y,Z)),Y) -> Y collapsed.
% Rule [61] join(join(meet(X,Y),meet(X,Z)),X) -> X collapsed.
% Rule [189] join(join(meet(X,meet(Y,Z)),meet(Y,V_3)),Y) -> Y collapsed.
% Rule [228] join(join(meet(meet(X,Y),Z),meet(X,V_3)),X) -> X collapsed.
% Rule [234] join(join(meet(X,meet(Y,Z)),meet(Z,V_3)),Z) -> Z collapsed.
% Rule [290] join(join(meet(meet(X,Y),Z),meet(Y,V_3)),Y) -> Y collapsed.
% Current number of equations to process: 2128
% Current number of ordered equations: 0
% Current number of rules: 349
% New rule produced : [383] join(join(X,Y),join(Y,Z)) -> join(X,join(Y,Z))
% Rule [358] join(join(X,Y),join(Y,X)) -> join(Y,X) collapsed.
% Current number of equations to process: 2127
% Current number of ordered equations: 0
% Current number of rules: 349
% New rule produced : [384] join(join(X,Y),join(Z,Y)) -> join(X,join(Z,Y))
% Rule [340] join(join(meet(join(X,Y),Z),Y),join(X,Y)) -> join(X,Y) collapsed.
% Rule [341] join(join(meet(X,Y),Z),join(Y,Z)) -> join(Y,Z) collapsed.
% Rule [342] join(join(meet(X,Y),Z),join(X,Z)) -> join(X,Z) collapsed.
% Rule [343] join(join(X,Y),join(join(X,Z),Y)) -> join(join(X,Z),Y) collapsed.
% Rule [344] join(join(X,Y),join(join(Z,X),Y)) -> join(join(Z,X),Y) collapsed.
% Rule [345] join(join(X,Y),join(meet(Z,X),Y)) -> join(X,Y) collapsed.
% Rule [346] join(join(X,Y),join(meet(X,Z),Y)) -> join(X,Y) collapsed.
% Rule [355] join(join(join(X,Y),Z),join(X,Z)) -> join(join(X,Y),Z) collapsed.
% Rule [363] join(join(join(X,Y),Z),join(Y,Z)) -> join(join(X,Y),Z) collapsed.
% Current number of equations to process: 2127
% Current number of ordered equations: 0
% Current number of rules: 341
% New rule produced : [385] join(join(X,Y),Z) -> join(X,join(Y,Z))
% Rule [14] join(join(X,Y),Y) -> join(X,Y) collapsed.
% Rule [17] join(join(X,Y),X) -> join(X,Y) collapsed.
% Rule [25] meet(X,join(join(X,Y),Z)) -> X collapsed.
% Rule [33] meet(X,join(join(Y,X),Z)) -> X collapsed.
% Rule [35] meet(join(join(X,Y),Z),X) -> X collapsed.
% Rule [36] join(join(X,Y),meet(Z,Y)) -> join(X,Y) collapsed.
% Rule [42] join(join(X,Y),meet(Z,X)) -> join(X,Y) collapsed.
% Rule [44] join(join(X,Y),meet(Y,Z)) -> join(X,Y) collapsed.
% Rule [45] join(join(X,Y),meet(X,Z)) -> join(X,Y) collapsed.
% Rule [49] meet(join(join(X,Y),Z),Y) -> Y collapsed.
% Rule [54] join(join(X,join(Y,Z)),Y) -> join(X,join(Y,Z)) collapsed.
% Rule [64] join(join(X,join(Y,Z)),Z) -> join(X,join(Y,Z)) collapsed.
% Rule [66] join(join(join(X,Y),Z),X) -> join(join(X,Y),Z) collapsed.
% Rule [67] join(X,join(join(X,Y),Z)) -> join(join(X,Y),Z) collapsed.
% Rule [74] meet(X,join(Y,join(join(X,Z),V_3))) -> X collapsed.
% Rule [75] join(join(join(X,Y),Z),Y) -> join(join(X,Y),Z) collapsed.
% Rule [76] join(X,join(join(Y,X),Z)) -> join(join(Y,X),Z) collapsed.
% Rule [77] meet(X,join(Y,join(join(Z,X),V_3))) -> X collapsed.
% Rule [88] meet(X,join(join(Y,join(X,Z)),V_3)) -> X collapsed.
% Rule [89] meet(X,join(join(Y,join(Z,X)),V_3)) -> X collapsed.
% Rule [90] meet(X,join(join(join(X,Y),Z),V_3)) -> X collapsed.
% Rule [91] meet(X,join(join(join(Y,X),Z),V_3)) -> X collapsed.
% Rule [98] meet(join(X,join(join(Y,Z),V_3)),Y) -> Y collapsed.
% Rule [99] meet(join(X,join(join(Y,Z),V_3)),Z) -> Z collapsed.
% Rule [104] meet(join(join(X,join(Y,Z)),V_3),Y) -> Y collapsed.
% Rule [105] meet(join(join(X,join(Y,Z)),V_3),Z) -> Z collapsed.
% Rule [106] meet(join(join(join(X,Y),Z),V_3),X) -> X collapsed.
% Rule [107] meet(join(join(join(X,Y),Z),V_3),Y) -> Y collapsed.
% Rule [117] join(join(X,Y),meet(Z,meet(V_3,Y))) -> join(X,Y) collapsed.
% Rule [119] meet(meet(X,Y),join(join(Z,Y),V_3)) -> meet(X,Y) collapsed.
% Rule [121] join(join(X,Y),meet(meet(Z,Y),V_3)) -> join(X,Y) collapsed.
% Rule [122] join(join(X,Y),meet(Z,meet(Y,V_3))) -> join(X,Y) collapsed.
% Rule [125] join(join(X,Y),meet(meet(Y,Z),V_3)) -> join(X,Y) collapsed.
% Rule [126] meet(join(join(X,Y),Z),meet(V_3,Y)) -> meet(V_3,Y) collapsed.
% Rule [127] meet(meet(X,Y),join(join(Y,Z),V_3)) -> meet(X,Y) collapsed.
% Rule [128] join(join(X,Y),meet(Z,meet(V_3,X))) -> join(X,Y) collapsed.
% Rule [131] join(join(X,Y),meet(meet(Z,X),V_3)) -> join(X,Y) collapsed.
% Rule [132] meet(meet(X,Y),join(join(Z,X),V_3)) -> meet(X,Y) collapsed.
% Rule [133] join(join(X,Y),meet(Z,meet(X,V_3))) -> join(X,Y) collapsed.
% Rule [136] join(join(X,Y),meet(meet(X,Z),V_3)) -> join(X,Y) collapsed.
% Rule [137] meet(meet(X,Y),join(join(X,Z),V_3)) -> meet(X,Y) collapsed.
% Rule [139] meet(join(join(X,Y),Z),meet(V_3,X)) -> meet(V_3,X) collapsed.
% Rule [146] meet(join(join(X,Y),Z),meet(Y,V_3)) -> meet(Y,V_3) collapsed.
% Rule [147] meet(join(join(X,Y),Z),meet(X,V_3)) -> meet(X,V_3) collapsed.
% Rule [151] join(join(X,join(Y,Z)),meet(V_3,Y)) -> join(X,join(Y,Z))
% collapsed.
% Rule [152] join(join(X,join(Y,Z)),meet(V_3,Z)) -> join(X,join(Y,Z))
% collapsed.
% Rule [154] join(join(join(X,Y),Z),meet(V_3,X)) -> join(join(X,Y),Z)
% collapsed.
% Rule [157] join(join(X,join(Y,Z)),meet(Y,V_3)) -> join(X,join(Y,Z))
% collapsed.
% Rule [162] join(meet(X,Y),join(join(Y,Z),V_3)) -> join(join(Y,Z),V_3)
% collapsed.
% Rule [165] join(join(join(X,Y),Z),meet(V_3,Y)) -> join(join(X,Y),Z)
% collapsed.
% Rule [166] join(meet(X,Y),join(join(Z,Y),V_3)) -> join(join(Z,Y),V_3)
% collapsed.
% Rule [167] join(join(X,join(Y,Z)),meet(Z,V_3)) -> join(X,join(Y,Z))
% collapsed.
% Rule [170] join(join(join(X,Y),Z),meet(X,V_3)) -> join(join(X,Y),Z)
% collapsed.
% Rule [171] join(meet(X,Y),join(join(X,Z),V_3)) -> join(join(X,Z),V_3)
% collapsed.
% Rule [175] join(join(join(X,Y),Z),meet(Y,V_3)) -> join(join(X,Y),Z)
% collapsed.
% Rule [182] join(meet(X,Y),join(join(Z,X),V_3)) -> join(join(Z,X),V_3)
% collapsed.
% Rule [191] join(join(meet(X,Y),meet(Z,meet(Y,V_3))),Y) -> Y collapsed.
% Rule [208] join(join(meet(X,Y),meet(Z,meet(X,V_3))),X) -> X collapsed.
% Rule [222] meet(meet(join(join(X,Y),Z),join(X,V_3)),X) -> X collapsed.
% Rule [223] meet(meet(join(join(X,Y),Z),join(V_3,X)),X) -> X collapsed.
% Rule [224] meet(meet(join(X,Y),join(join(Y,Z),V_3)),Y) -> Y collapsed.
% Rule [225] meet(X,meet(join(join(X,Y),Z),join(X,V_3))) -> X collapsed.
% Rule [226] meet(meet(join(X,Y),join(join(X,Z),V_3)),X) -> X collapsed.
% Rule [227] meet(X,meet(join(Y,X),join(join(X,Z),V_3))) -> X collapsed.
% Rule [231] join(join(meet(X,Y),meet(meet(Y,Z),V_3)),Y) -> Y collapsed.
% Rule [233] join(join(meet(X,Y),meet(meet(X,Z),V_3)),X) -> X collapsed.
% Rule [237] join(join(meet(X,Y),meet(Z,meet(V_3,Y))),Y) -> Y collapsed.
% Rule [239] join(join(meet(X,Y),meet(Z,meet(V_3,X))),X) -> X collapsed.
% Rule [241] meet(X,join(join(Y,join(Z,join(X,V_3))),V_4)) -> X collapsed.
% Rule [243] meet(join(join(X,join(Y,join(Z,V_3))),V_4),Z) -> Z collapsed.
% Rule [244] meet(X,join(Y,join(Z,join(join(X,V_3),V_4)))) -> X collapsed.
% Rule [245] meet(X,join(Y,join(join(Z,join(X,V_3)),V_4))) -> X collapsed.
% Rule [247] meet(X,join(Y,join(join(join(X,Z),V_3),V_4))) -> X collapsed.
% Rule [248] meet(X,join(join(join(Y,join(X,Z)),V_3),V_4)) -> X collapsed.
% Rule [249] meet(X,join(join(Y,join(Z,join(V_3,X))),V_4)) -> X collapsed.
% Rule [251] meet(join(join(X,join(Y,join(Z,V_3))),V_4),V_3) -> V_3 collapsed.
% Rule [252] meet(X,join(Y,join(Z,join(join(V_3,X),V_4)))) -> X collapsed.
% Rule [253] meet(X,join(Y,join(join(Z,join(V_3,X)),V_4))) -> X collapsed.
% Rule [254] meet(X,join(Y,join(join(join(Z,X),V_3),V_4))) -> X collapsed.
% Rule [255] meet(X,join(join(join(Y,join(Z,X)),V_3),V_4)) -> X collapsed.
% Rule [256] meet(X,join(join(Y,join(join(X,Z),V_3)),V_4)) -> X collapsed.
% Rule [257] meet(join(X,join(Y,join(join(Z,V_3),V_4))),Z) -> Z collapsed.
% Rule [258] meet(join(join(X,join(join(Y,Z),V_3)),V_4),Y) -> Y collapsed.
% Rule [259] meet(X,join(join(join(join(X,Y),Z),V_3),V_4)) -> X collapsed.
% Rule [260] meet(meet(join(join(X,Y),Z),join(Y,V_3)),Y) -> Y collapsed.
% Rule [261] meet(meet(join(join(X,Y),Z),join(V_3,Y)),Y) -> Y collapsed.
% Rule [262] meet(meet(join(X,Y),join(join(Z,Y),V_3)),Y) -> Y collapsed.
% Rule [263] meet(X,meet(join(join(Y,X),Z),join(X,V_3))) -> X collapsed.
% Rule [264] meet(meet(join(X,Y),join(join(Z,X),V_3)),X) -> X collapsed.
% Rule [265] meet(X,meet(join(Y,X),join(join(Z,X),V_3))) -> X collapsed.
% Rule [266] meet(X,join(join(Y,join(join(Z,X),V_3)),V_4)) -> X collapsed.
% Rule [267] meet(join(X,join(Y,join(join(Z,V_3),V_4))),V_3) -> V_3 collapsed.
% Rule [268] meet(join(join(X,join(join(Y,Z),V_3)),V_4),Z) -> Z collapsed.
% Rule [269] meet(X,join(join(join(join(Y,X),Z),V_3),V_4)) -> X collapsed.
% Rule [293] join(join(meet(X,Y),meet(meet(Z,Y),V_3)),Y) -> Y collapsed.
% Rule [295] join(join(meet(X,Y),meet(meet(Z,X),V_3)),X) -> X collapsed.
% Rule [308] meet(join(X,join(join(Y,join(Z,V_3)),V_4)),Z) -> Z collapsed.
% Rule [309] meet(join(join(join(X,join(Y,Z)),V_3),V_4),Y) -> Y collapsed.
% Rule [310] meet(join(X,join(join(Y,join(Z,V_3)),V_4)),V_3) -> V_3 collapsed.
% Rule [311] meet(join(join(join(X,join(Y,Z)),V_3),V_4),Z) -> Z collapsed.
% Rule [312] meet(join(X,join(join(join(Y,Z),V_3),V_4)),Y) -> Y collapsed.
% Rule [313] meet(join(join(join(join(X,Y),Z),V_3),V_4),X) -> X collapsed.
% Rule [314] meet(join(X,join(join(join(Y,Z),V_3),V_4)),Z) -> Z collapsed.
% Rule [315] meet(join(join(join(join(X,Y),Z),V_3),V_4),Y) -> Y collapsed.
% Rule [322] meet(X,meet(join(join(X,Y),Z),join(V_3,X))) -> X collapsed.
% Rule [323] meet(X,meet(join(join(Y,X),Z),join(V_3,X))) -> X collapsed.
% Rule [334] meet(X,meet(join(X,Y),join(join(X,Z),V_3))) -> X collapsed.
% Rule [335] meet(X,meet(join(X,Y),join(join(Z,X),V_3))) -> X collapsed.
% Rule [347] meet(join(X,Y),join(join(X,Z),Y)) -> join(X,Y) collapsed.
% Rule [348] meet(join(join(X,Y),Z),join(X,Z)) -> join(X,Z) collapsed.
% Rule [359] meet(join(X,Y),join(join(Z,X),Y)) -> join(X,Y) collapsed.
% Rule [360] meet(join(join(X,Y),Z),join(Y,Z)) -> join(Y,Z) collapsed.
% Rule [361] join(join(X,meet(Y,Z)),join(Z,X)) -> join(Z,X) collapsed.
% Rule [362] join(join(X,meet(Y,Z)),join(Y,X)) -> join(Y,X) collapsed.
% Rule [364] join(join(X,Y),join(join(Y,Z),X)) -> join(join(Y,Z),X) collapsed.
% Rule [365] join(join(X,Y),join(join(Z,Y),X)) -> join(join(Z,Y),X) collapsed.
% Rule [380] join(join(X,Y),join(X,Z)) -> join(join(X,Y),Z) collapsed.
% Rule [381] join(join(X,meet(Y,Z)),Z) -> join(X,Z) collapsed.
% Rule [382] join(join(X,meet(Y,Z)),Y) -> join(X,Y) collapsed.
% Rule [383] join(join(X,Y),join(Y,Z)) -> join(X,join(Y,Z)) collapsed.
% Rule [384] join(join(X,Y),join(Z,Y)) -> join(X,join(Z,Y)) collapsed.
% Current number of equations to process: 2142
% Current number of ordered equations: 0
% Current number of rules: 221
% join(X,Y) = join(Y,X) (birth = 73, lhs_size = 5, rhs_size = 3,trace = Cp of 9 and 5)
% Initializing completion ...
% New rule produced : [1] X <-> X join X
% Current number of equations to process: 802
% Current number of ordered equations: 335
% Current number of rules: 1
% New rule produced : [2] Y <-> meet(Y,Y)
% Current number of equations to process: 802
% Current number of ordered equations: 334
% Current number of rules: 2
% New rule produced : [3] X join X <-> X
% Current number of equations to process: 802
% Current number of ordered equations: 333
% Current number of rules: 3
% New rule produced : [4] meet(Y,Y) <-> Y
% Current number of equations to process: 802
% Current number of ordered equations: 332
% Current number of rules: 4
% New rule produced : [5] X <-> meet(X,Y) join X
% Current number of equations to process: 806
% Current number of ordered equations: 333
% Current number of rules: 5
% New rule produced : [6] X <-> meet(Y,X) join X
% Current number of equations to process: 806
% Current number of ordered equations: 331
% Current number of rules: 6
% New rule produced : [7] X <-> meet(X,X join Y)
% Current number of equations to process: 806
% Current number of ordered equations: 330
% Current number of rules: 7
% New rule produced : [8] X <-> meet(X join Y,X)
% Current number of equations to process: 806
% Current number of ordered equations: 328
% Current number of rules: 8
% New rule produced : [9] meet(X,Y) join X <-> X
% Current number of equations to process: 806
% Current number of ordered equations: 327
% Current number of rules: 9
% New rule produced : [10] meet(X,Y) join Y <-> Y
% Current number of equations to process: 806
% Current number of ordered equations: 325
% Current number of rules: 10
% New rule produced : [11] meet(X,X join Y) <-> X
% Current number of equations to process: 806
% Current number of ordered equations: 324
% Current number of rules: 11
% New rule produced : [12] meet(X join Y,X) <-> X
% Current number of equations to process: 806
% Current number of ordered equations: 322
% Current number of rules: 12
% New rule produced : [13] X join Y <-> (X join Y) join X
% Current number of equations to process: 886
% Current number of ordered equations: 321
% Current number of rules: 13
% New rule produced : [14] (X join Y) join X <-> X join Y
% Current number of equations to process: 886
% Current number of ordered equations: 320
% Current number of rules: 14
% New rule produced : [15] meet(X,Y) <-> meet(X,meet(X,Y))
% Current number of equations to process: 886
% Current number of ordered equations: 319
% Current number of rules: 15
% New rule produced : [16] meet(X,Y) <-> meet(meet(X,Y),X)
% Current number of equations to process: 886
% Current number of ordered equations: 318
% Current number of rules: 16
% New rule produced : [17] meet(X,Y) <-> meet(meet(X,Y),Y)
% Current number of equations to process: 886
% Current number of ordered equations: 317
% Current number of rules: 17
% New rule produced : [18] meet(X,meet(X,Y)) <-> meet(X,Y)
% Current number of equations to process: 886
% Current number of ordered equations: 316
% Current number of rules: 18
% New rule produced : [19] meet(X,meet(Y,X)) <-> meet(Y,X)
% Current number of equations to process: 886
% Current number of ordered equations: 315
% Current number of rules: 19
% New rule produced : [20] meet(Y,X) <-> meet(X,meet(Y,X))
% Current number of equations to process: 886
% Current number of ordered equations: 314
% Current number of rules: 20
% New rule produced : [21] meet(meet(X,Y),X) <-> meet(X,Y)
% Current number of equations to process: 886
% Current number of ordered equations: 313
% Current number of rules: 21
% New rule produced : [22] meet(meet(X,Y),Y) <-> meet(X,Y)
% Current number of equations to process: 886
% Current number of ordered equations: 312
% Current number of rules: 22
% New rule produced : [23] X <-> meet(Y,meet(X,Z)) join X
% Current number of equations to process: 1031
% Current number of ordered equations: 348
% Current number of rules: 23
% New rule produced : [24] X <-> meet(X,(X join Z) join Y)
% Current number of equations to process: 1031
% Current number of ordered equations: 347
% Current number of rules: 24
% New rule produced : [25] X <-> meet(meet(X,Y),Z) join X
% Current number of equations to process: 1031
% Current number of ordered equations: 346
% Current number of rules: 25
% New rule produced : [26] X <-> meet(Y,meet(Z,X)) join X
% Current number of equations to process: 1031
% Current number of ordered equations: 344
% Current number of rules: 26
% New rule produced : [27] X <-> meet(meet(Y,X),Z) join X
% Current number of equations to process: 1031
% Current number of ordered equations: 342
% Current number of rules: 27
% New rule produced : [28] Y <-> meet((Y join Z) join X,Y)
% Current number of equations to process: 1031
% Current number of ordered equations: 340
% Current number of rules: 28
% New rule produced : [29] meet(Y,meet(X,Z)) join X <-> X
% Current number of equations to process: 1031
% Current number of ordered equations: 338
% Current number of rules: 29
% (X join Y) join Z = (Y join Z) join X (birth = 0, lhs_size = 5, rhs_size = 5,trace = in the starting set)
% Initializing completion ...
% New rule produced : [1] X <-> X join X
% Current number of equations to process: 1186
% Current number of ordered equations: 46
% Current number of rules: 1
% New rule produced : [2] Y <-> meet(Y,Y)
% Current number of equations to process: 1186
% Current number of ordered equations: 45
% Current number of rules: 2
% New rule produced : [3] X join X <-> X
% Current number of equations to process: 1186
% Current number of ordered equations: 43
% Current number of rules: 3
% New rule produced : [4] meet(Y,Y) <-> Y
% Current number of equations to process: 1186
% Current number of ordered equations: 42
% Current number of rules: 4
% New rule produced : [5] X <-> meet(X,Y) join X
% Current number of equations to process: 1196
% Current number of ordered equations: 42
% Current number of rules: 5
% New rule produced : [6] X <-> meet(Y,X) join X
% Current number of equations to process: 1196
% Current number of ordered equations: 40
% Current number of rules: 6
% New rule produced : [7] X <-> meet(X,X join Y)
% Current number of equations to process: 1196
% Current number of ordered equations: 37
% Current number of rules: 7
% New rule produced : [8] X <-> meet(X join Y,X)
% Current number of equations to process: 1196
% Current number of ordered equations: 35
% Current number of rules: 8
% New rule produced : [9] meet(X,Y) join X <-> X
% Current number of equations to process: 1196
% Current number of ordered equations: 33
% Current number of rules: 9
% New rule produced : [10] meet(X,Y) join Y <-> Y
% Current number of equations to process: 1196
% Current number of ordered equations: 31
% Current number of rules: 10
% New rule produced : [11] meet(X,X join Y) <-> X
% Current number of equations to process: 1196
% Current number of ordered equations: 28
% Current number of rules: 11
% New rule produced : [12] meet(X join Y,X) <-> X
% Current number of equations to process: 1196
% Current number of ordered equations: 26
% Current number of rules: 12
% New rule produced : [13] meet(X,Y) <-> meet(X,meet(X,Y))
% Current number of equations to process: 1547
% Current number of ordered equations: 34
% Current number of rules: 13
% New rule produced : [14] meet(X,Y) <-> meet(meet(X,Y),X)
% Current number of equations to process: 1547
% Current number of ordered equations: 33
% Current number of rules: 14
% New rule produced : [15] meet(X,Y) <-> meet(meet(X,Y),Y)
% Current number of equations to process: 1547
% Current number of ordered equations: 31
% Current number of rules: 15
% New rule produced : [16] meet(X,meet(X,Y)) <-> meet(X,Y)
% Current number of equations to process: 1547
% Current number of ordered equations: 29
% Current number of rules: 16
% New rule produced : [17] meet(X,meet(Y,X)) <-> meet(Y,X)
% Current number of equations to process: 1547
% Current number of ordered equations: 28
% Current number of rules: 17
% New rule produced : [18] meet(Y,X) <-> meet(X,meet(Y,X))
% Current number of equations to process: 1547
% Current number of ordered equations: 27
% Current number of rules: 18
% New rule produced : [19] meet(meet(X,Y),X) <-> meet(X,Y)
% Current number of equations to process: 1547
% Current number of ordered equations: 26
% Current number of rules: 19
% New rule produced : [20] meet(meet(X,Y),Y) <-> meet(X,Y)
% Current number of equations to process: 1547
% Current number of ordered equations: 24
% Current number of rules: 20
% New rule produced : [21] X <-> meet(Y,meet(X,Z)) join X
% Current number of equations to process: 1653
% Current number of ordered equations: 89
% Current number of rules: 21
% New rule produced : [22] X <-> meet(meet(X,Y),Z) join X
% Current number of equations to process: 1653
% Current number of ordered equations: 88
% Current number of rules: 22
% New rule produced : [23] X <-> meet(Y,meet(Z,X)) join X
% Current number of equations to process: 1653
% Current number of ordered equations: 87
% Current number of rules: 23
% New rule produced : [24] X <-> meet(meet(Y,X),Z) join X
% Current number of equations to process: 1653
% Current number of ordered equations: 86
% Current number of rules: 24
% New rule produced : [25] meet(Y,meet(X,Z)) join X <-> X
% Current number of equations to process: 1653
% Current number of ordered equations: 85
% Current number of rules: 25
% New rule produced : [26] meet(meet(X,Y),Z) join X <-> X
% Current number of equations to process: 1653
% Current number of ordered equations: 84
% Current number of rules: 26
% New rule produced : [27] meet(Y,meet(Z,X)) join X <-> X
% Current number of equations to process: 1653
% Current number of ordered equations: 83
% Current number of rules: 27
% New rule produced : [28] meet(meet(Y,X),Z) join X <-> X
% Current number of equations to process: 1653
% Current number of ordered equations: 82
% Current number of rules: 28
% New rule produced : [29] Y <-> meet(meet(X join Y,Y join Z),Y)
% Current number of equations to process: 2790
% Current number of ordered equations: 343
% Current number of rules: 29
% New rule produced : [30] Y <-> meet(X,Y) join meet(Y,Z) join Y
% Current number of equations to process: 2790
% Current number of ordered equations: 342
% Current number of rules: 30
% New rule produced : [31] meet(meet(X join Y,Y join Z),Y) <-> Y
% Current number of equations to process: 2790
% Current number of ordered equations: 341
% Current number of rules: 31
% New rule produced : [32] meet(X,Y) join meet(Y,Z) join Y <-> Y
% Current number of equations to process: 2790
% Current number of ordered equations: 340
% Current number of rules: 32
% New rule produced : [33] X join X <-> meet(X,X)
% Current number of equations to process: 2790
% Current number of ordered equations: 339
% Current number of rules: 33
% New rule produced : [34] meet(X,X) <-> X join X
% Current number of equations to process: 2790
% Current number of ordered equations: 338
% Current number of rules: 34
% New rule produced : [35] X <-> meet(X,meet(X,X))
% Current number of equations to process: 2790
% Current number of ordered equations: 334
% Current number of rules: 35
% New rule produced : [36] X <-> meet(meet(X,X),X)
% Current number of equations to process: 2790
% Current number of ordered equations: 330
% Current number of rules: 36
% New rule produced : [37] X <-> X join X join X
% Current number of equations to process: 2790
% Current number of ordered equations: 328
% Current number of rules: 37
% New rule produced : [38] meet(X,meet(X,X)) <-> X
% Current number of equations to process: 2790
% Current number of ordered equations: 324
% Current number of rules: 38
% New rule produced : [39] meet(meet(X,X),X) <-> X
% Current number of equations to process: 2790
% Current number of ordered equations: 320
% Current number of rules: 39
% New rule produced : [40] X join X join X <-> X
% Current number of equations to process: 2790
% Current number of ordered equations: 318
% Current number of rules: 40
% New rule produced : [41] X join X <-> meet(X,Y) join X
% Current number of equations to process: 2790
% Current number of ordered equations: 314
% Current number of rules: 41
% New rule produced : [42] X join X <-> meet(Y,X) join X
% Current number of equations to process: 2790
% Current number of ordered equations: 310
% Current number of rules: 42
% New rule produced : [43] X join X <-> meet(X,X join Y)
% Current number of equations to process: 2790
% Current number of ordered equations: 307
% Current number of rules: 43
% New rule produced : [44] X join X <-> meet(X join Y,X)
% Current number of equations to process: 2790
% Current number of ordered equations: 304
% Current number of rules: 44
% New rule produced : [45] meet(X,Y) join X <-> X join X
% Current number of equations to process: 2790
% Current number of ordered equations: 300
% Current number of rules: 45
% New rule produced : [46] meet(X,Y) join X <-> meet(X,X)
% Current number of equations to process: 2790
% Current number of ordered equations: 298
% Current number of rules: 46
% New rule produced : [47] meet(Y,X) join X <-> X join X
% Current number of equations to process: 2790
% Current number of ordered equations: 294
% Current number of rules: 47
% New rule produced : [48] meet(Y,X) join X <-> meet(X,X)
% Current number of equations to process: 2790
% Current number of ordered equations: 292
% Current number of rules: 48
% New rule produced : [49] meet(X,X) <-> meet(X,Y) join X
% Current number of equations to process: 2790
% Current number of ordered equations: 290
% Current number of rules: 49
% New rule produced : [50] meet(X,X) <-> meet(Y,X) join X
% Current number of equations to process: 2790
% Current number of ordered equations: 288
% Current number of rules: 50
% New rule produced : [51] meet(X,X) <-> meet(X,X join Y)
% Current number of equations to process: 2790
% Current number of ordered equations: 283
% Current number of rules: 51
% New rule produced : [52] meet(X,X) <-> meet(X join Y,X)
% Current number of equations to process: 2790
% Current number of ordered equations: 278
% Current number of rules: 52
% New rule produced : [53] meet(X,X join Y) <-> X join X
% Current number of equations to process: 2790
% Current number of ordered equations: 275
% Current number of rules: 53
% New rule produced : [54] meet(X,X join Y) <-> meet(X,X)
% Current number of equations to process: 2790
% Current number of ordered equations: 270
% Current number of rules: 54
% New rule produced : [55] meet(X join Y,X) <-> X join X
% Current number of equations to process: 2790
% Current number of ordered equations: 267
% Current number of rules: 55
% New rule produced : [56] meet(X join Y,X) <-> meet(X,X)
% Current number of equations to process: 2790
% Current number of ordered equations: 262
% Current number of rules: 56
% New rule produced : [57] X join Y <-> X join Y join Y
% Current number of equations to process: 2790
% Current number of ordered equations: 261
% Current number of rules: 57
% New rule produced : [58] X join Y join Y <-> X join Y
% Current number of equations to process: 2790
% Current number of ordered equations: 260
% Current number of rules: 58
% New rule produced : [59] X <-> meet(Y,X) join X join X
% Current number of equations to process: 2790
% Current number of ordered equations: 259
% Current number of rules: 59
% New rule produced : [60] X <-> meet(X,meet(X,X join Y))
% Current number of equations to process: 2790
% Current number of ordered equations: 257
% Current number of rules: 60
% New rule produced : [61] X <-> meet(X,meet(X join Y,X))
% Current number of equations to process: 2790
% Current number of ordered equations: 255
% Current number of rules: 61
% New rule produced : [62] X <-> meet(X,X) join meet(X,X)
% Current number of equations to process: 2790
% Current number of ordered equations: 253
% Current number of rules: 62
% New rule produced : [63] X <-> meet(meet(X,X join Y),X)
% Current number of equations to process: 2790
% Current number of ordered equations: 251
% Current number of rules: 63
% New rule produced : [64] X <-> meet(X join X,X join X)
% Current number of equations to process: 2790
% Current number of ordered equations: 249
% Current number of rules: 64
% New rule produced : [65] X <-> meet(meet(X,X),meet(X,X))
% Current number of equations to process: 2790
% Current number of ordered equations: 247
% Current number of rules: 65
% New rule produced : [66] X <-> meet(meet(X join Y,X),X)
% Current number of equations to process: 2790
% Current number of ordered equations: 245
% Current number of rules: 66
% New rule produced : [67] X <-> meet(X,Y) join X join X
% Current number of equations to process: 2790
% Current number of ordered equations: 244
% Current number of rules: 67
% New rule produced : [68] X <-> X join X join X join X
% Current number of equations to process: 2790
% Current number of ordered equations: 242
% Current number of rules: 68
% New rule produced : [69] meet(Y,X) join X join X <-> X
% Current number of equations to process: 2790
% Current number of ordered equations: 241
% Current number of rules: 69
% New rule produced : [70] meet(X,Z) join X <-> meet(X,Y) join X
% Current number of equations to process: 2790
% Current number of ordered equations: 235
% Current number of rules: 70
% New rule produced : [71] meet(X,Y) join X <-> meet(Z,X) join X
% Current number of equations to process: 2790
% Current number of ordered equations: 232
% Current number of rules: 71
% New rule produced : [72] meet(X,Y) join X <-> meet(X,X join Z)
% Current number of equations to process: 2790
% Current number of ordered equations: 230
% Current number of rules: 72
% New rule produced : [73] meet(X,Y) join X <-> meet(X join Z,X)
% Current number of equations to process: 2790
% Current number of ordered equations: 228
% Current number of rules: 73
% New rule produced : [74] meet(X,Y) join Y <-> meet(Z,Y) join Y
% Current number of equations to process: 2790
% Current number of ordered equations: 222
% Current number of rules: 74
% New rule produced : [75] meet(X,Y) join Y <-> meet(Y,Y join Z)
% Current number of equations to process: 2790
% Current number of ordered equations: 220
% Current number of rules: 75
% New rule produced : [76] meet(X,Y) join Y <-> meet(Y join Z,Y)
% Current number of equations to process: 2790
% Current number of ordered equations: 218
% Current number of rules: 76
% New rule produced : [77] meet(Z,X) join X <-> meet(X,Y) join X
% Current number of equations to process: 2790
% Current number of ordered equations: 215
% Current number of rules: 77
% New rule produced : [78] meet(X,X join Z) <-> meet(X,Y) join X
% Current number of equations to process: 2790
% Current number of ordered equations: 213
% Current number of rules: 78
% New rule produced : [79] meet(X,X join Z) <-> meet(X,X join Y)
% Current number of equations to process: 2790
% Current number of ordered equations: 209
% Current number of rules: 79
% New rule produced : [80] meet(X,meet(X,Y)) <-> meet(Y,meet(X,Y))
% Current number of equations to process: 2790
% Current number of ordered equations: 207
% Current number of rules: 80
% New rule produced : [81] meet(X,meet(X,Y)) <-> meet(meet(X,Y),X)
% Current number of equations to process: 2790
% Current number of ordered equations: 204
% Current number of rules: 81
% New rule produced : [82] meet(X,meet(X,Y)) <-> meet(meet(X,Y),Y)
% Current number of equations to process: 2790
% Current number of ordered equations: 202
% Current number of rules: 82
% New rule produced : [83] meet(X,X join Y) <-> meet(X join Z,X)
% Current number of equations to process: 2790
% Current number of ordered equations: 197
% Current number of rules: 83
% New rule produced : [84] meet(X,meet(Y,X)) <-> meet(meet(Y,X),X)
% Current number of equations to process: 2790
% Current number of ordered equations: 192
% Current number of rules: 84
% New rule produced : [85] meet(X,meet(X,X join Y)) <-> X
% Current number of equations to process: 2790
% Current number of ordered equations: 190
% Current number of rules: 85
% New rule produced : [86] meet(X,meet(X join Y,X)) <-> X
% Current number of equations to process: 2790
% Current number of ordered equations: 188
% Current number of rules: 86
% New rule produced : [87] meet(Y,meet(X,Y)) <-> meet(X,meet(X,Y))
% Current number of equations to process: 2790
% Current number of ordered equations: 186
% Current number of rules: 87
% New rule produced : [88] meet(Y,meet(X,Y)) <-> meet(meet(X,Y),X)
% Current number of equations to process: 2790
% Current number of ordered equations: 184
% Current number of rules: 88
% New rule produced : [89] meet(Y,Y join Z) <-> meet(X,Y) join Y
% Current number of equations to process: 2790
% Current number of ordered equations: 182
% Current number of rules: 89
% New rule produced : [90] meet(X join Z,X) <-> meet(X,Y) join X
% Current number of equations to process: 2790
% Current number of ordered equations: 180
% Current number of rules: 90
% New rule produced : [91] meet(X join Z,X) <-> meet(X,X join Y)
% Current number of equations to process: 2790
% Current number of ordered equations: 175
% Current number of rules: 91
% New rule produced : [92] meet(X join Z,X) <-> meet(X join Y,X)
% Current number of equations to process: 2790
% Current number of ordered equations: 171
% Current number of rules: 92
% New rule produced : [93] meet(meet(X,Y),X) <-> meet(X,meet(X,Y))
% Current number of equations to process: 2790
% Current number of ordered equations: 168
% Current number of rules: 93
% New rule produced : [94] meet(meet(X,Y),X) <-> meet(Y,meet(X,Y))
% Current number of equations to process: 2790
% Current number of ordered equations: 166
% Current number of rules: 94
% New rule produced : [95] meet(meet(X,Y),X) <-> meet(meet(X,Y),Y)
% Current number of equations to process: 2790
% Current number of ordered equations: 164
% Current number of rules: 95
% New rule produced : [96] meet(meet(X,Y),Y) <-> meet(X,meet(X,Y))
% Current number of equations to process: 2790
% Current number of ordered equations: 162
% Current number of rules: 96
% New rule produced : [97] meet(meet(X,Y),Y) <-> meet(Y,meet(X,Y))
% Current number of equations to process: 2790
% Current number of ordered equations: 157
% Current number of rules: 97
% New rule produced : [98] meet(meet(X,Y),Y) <-> meet(meet(X,Y),X)
% Current number of equations to process: 2790
% Current number of ordered equations: 155
% Current number of rules: 98
% New rule produced : [99] meet(Y join Z,Y) <-> meet(X,Y) join Y
% Current number of equations to process: 2790
% Current number of ordered equations: 153
% Current number of rules: 99
% New rule produced : [100] meet(X,X) join meet(X,X) <-> X
% Current number of equations to process: 2790
% Current number of ordered equations: 151
% Current number of rules: 100
% New rule produced : [101] meet(meet(X,X join Y),X) <-> X
% Current number of equations to process: 2790
% Current number of ordered equations: 149
% Current number of rules: 101
% New rule produced : [102] meet(X join X,X join X) <-> X
% Current number of equations to process: 2790
% Current number of ordered equations: 147
% Current number of rules: 102
% New rule produced : [103] meet(meet(X,X),meet(X,X)) <-> X
% Current number of equations to process: 2790
% Current number of ordered equations: 145
% Current number of rules: 103
% New rule produced : [104] meet(meet(X join Y,X),X) <-> X
% Current number of equations to process: 2790
% Current number of ordered equations: 143
% Current number of rules: 104
% New rule produced : [105] X join X join Y <-> X join Y join Y
% Current number of equations to process: 2790
% Current number of ordered equations: 139
% Current number of rules: 105
% New rule produced : [106] meet(X,Y) join X join X <-> X
% Current number of equations to process: 2790
% Current number of ordered equations: 138
% Current number of rules: 106
% New rule produced : [107] X join X join X join X <-> X
% Current number of equations to process: 2790
% Current number of ordered equations: 136
% Current number of rules: 107
% New rule produced : [108] meet(X,Y) <-> meet(X,meet(meet(X,Y),Y))
% Current number of equations to process: 2790
% Current number of ordered equations: 134
% Current number of rules: 108
% New rule produced : [109] meet(X,Y) <-> meet(X,meet(meet(X,Y),X))
% Current number of equations to process: 2790
% Current number of ordered equations: 131
% Current number of rules: 109
% New rule produced : [110] meet(X,Y) <-> meet(X,meet(X,meet(X,Y)))
% Current number of equations to process: 2790
% Current number of ordered equations: 129
% Current number of rules: 110
% New rule produced : [111] meet(X,Y) <-> meet(X,meet(Y,meet(X,Y)))
% Current number of equations to process: 2790
% Current number of ordered equations: 127
% Current number of rules: 111
% New rule produced : [112] meet(X,Y) <-> meet(meet(X,Y),X join Z)
% Current number of equations to process: 2790
% Current number of ordered equations: 124
% Current number of rules: 112
% New rule produced : [113] meet(X,Y) <-> meet(meet(X,Y),Y join Z)
% Current number of equations to process: 2790
% Current number of ordered equations: 121
% Current number of rules: 113
% New rule produced : [114] meet(X,Y) <-> meet(meet(meet(X,Y),Y),X)
% Current number of equations to process: 2790
% Current number of ordered equations: 119
% Current number of rules: 114
% New rule produced : [115] meet(X,Y) <-> meet(meet(meet(X,Y),Y),Y)
% Current number of equations to process: 2790
% Current number of ordered equations: 117
% Current number of rules: 115
% New rule produced : [116] meet(X,Y) <-> meet(meet(meet(X,Y),X),X)
% Current number of equations to process: 2790
% Current number of ordered equations: 115
% Current number of rules: 116
% New rule produced : [117] meet(X,Y) <-> meet(meet(meet(X,Y),X),Y)
% Current number of equations to process: 2790
% Current number of ordered equations: 113
% Current number of rules: 117
% New rule produced : [118] meet(X,Y) <-> meet(meet(X,meet(X,Y)),X)
% Current number of equations to process: 2790
% Current number of ordered equations: 110
% Current number of rules: 118
% New rule produced : [119] meet(X,Y) <-> meet(meet(X,meet(X,Y)),Y)
% Current number of equations to process: 2790
% Current number of ordered equations: 108
% Current number of rules: 119
% New rule produced : [120] meet(X,Z) <-> meet(X join Y,meet(X,Z))
% Current number of equations to process: 2790
% Current number of ordered equations: 104
% Current number of rules: 120
% New rule produced : [121] meet(X,meet(meet(X,Y),Y)) <-> meet(X,Y)
% Current number of equations to process: 2790
% Current number of ordered equations: 102
% Current number of rules: 121
% New rule produced : [122] meet(X,meet(meet(X,Y),X)) <-> meet(X,Y)
% Current number of equations to process: 2790
% Current number of ordered equations: 99
% Current number of rules: 122
% New rule produced : [123] meet(X,meet(X,meet(X,Y))) <-> meet(X,Y)
% Current number of equations to process: 2790
% Current number of ordered equations: 97
% Current number of rules: 123
% New rule produced : [124] meet(X,meet(X,meet(Y,X))) <-> meet(Y,X)
% Current number of equations to process: 2790
% Current number of ordered equations: 94
% Current number of rules: 124
% New rule produced : [125] meet(X,meet(meet(Y,X),X)) <-> meet(Y,X)
% Current number of equations to process: 2790
% Current number of ordered equations: 91
% Current number of rules: 125
% New rule produced : [126] meet(X,meet(Y,meet(X,Y))) <-> meet(X,Y)
% Current number of equations to process: 2790
% Current number of ordered equations: 89
% Current number of rules: 126
% New rule produced : [127] meet(X,meet(Y,meet(Y,X))) <-> meet(Y,X)
% Current number of equations to process: 2790
% Current number of ordered equations: 87
% Current number of rules: 127
% New rule produced : [128] meet(X,meet(meet(Y,X),Y)) <-> meet(Y,X)
% Current number of equations to process: 2790
% Current number of ordered equations: 85
% Current number of rules: 128
% New rule produced : [129] meet(Y,X) <-> meet(X,meet(X,meet(Y,X)))
% Current number of equations to process: 2790
% Current number of ordered equations: 82
% Current number of rules: 129
% New rule produced : [130] meet(Y,X) <-> meet(X,meet(meet(Y,X),X))
% Current number of equations to process: 2790
% Current number of ordered equations: 79
% Current number of rules: 130
% New rule produced : [131] meet(Y,X) <-> meet(X,meet(Y,meet(Y,X)))
% Current number of equations to process: 2790
% Current number of ordered equations: 77
% Current number of rules: 131
% New rule produced : [132] meet(Y,X) <-> meet(X,meet(meet(Y,X),Y))
% Current number of equations to process: 2790
% Current number of ordered equations: 75
% Current number of rules: 132
% New rule produced : [133] meet(Y,X) <-> meet(meet(X,meet(Y,X)),X)
% Current number of equations to process: 2790
% Current number of ordered equations: 72
% Current number of rules: 133
% New rule produced : [134] meet(Y,X) <-> meet(meet(X,meet(Y,X)),Y)
% Current number of equations to process: 2790
% Current number of ordered equations: 70
% Current number of rules: 134
% New rule produced : [135] meet(Z,X) <-> meet(X join Y,meet(Z,X))
% Current number of equations to process: 2790
% Current number of ordered equations: 66
% Current number of rules: 135
% New rule produced : [136] meet(meet(X,Y),X join Z) <-> meet(X,Y)
% Current number of equations to process: 2790
% Current number of ordered equations: 63
% Current number of rules: 136
% New rule produced : [137] meet(meet(X,Y),Y join Z) <-> meet(X,Y)
% Current number of equations to process: 2790
% Current number of ordered equations: 60
% Current number of rules: 137
% New rule produced : [138] meet(X join Y,meet(X,Z)) <-> meet(X,Z)
% Current number of equations to process: 2790
% Current number of ordered equations: 56
% Current number of rules: 138
% New rule produced : [139] meet(X join Y,meet(Z,Y)) <-> meet(Z,Y)
% Current number of equations to process: 2790
% Current number of ordered equations: 52
% Current number of rules: 139
% New rule produced : [140] meet(meet(meet(X,Y),Y),X) <-> meet(X,Y)
% Current number of equations to process: 2790
% Current number of ordered equations: 50
% Current number of rules: 140
% New rule produced : [141] meet(meet(meet(X,Y),Y),Y) <-> meet(X,Y)
% Current number of equations to process: 2790
% Current number of ordered equations: 48
% Current number of rules: 141
% New rule produced : [142] meet(meet(meet(X,Y),X),X) <-> meet(X,Y)
% Current number of equations to process: 2790
% Current number of ordered equations: 46
% Current number of rules: 142
% New rule produced : [143] meet(meet(meet(X,Y),X),Y) <-> meet(X,Y)
% Current number of equations to process: 2790
% Current number of ordered equations: 44
% Current number of rules: 143
% New rule produced : [144] meet(meet(X,meet(X,Y)),X) <-> meet(X,Y)
% Current number of equations to process: 2790
% Current number of ordered equations: 41
% Current number of rules: 144
% New rule produced : [145] meet(meet(X,meet(X,Y)),Y) <-> meet(X,Y)
% Current number of equations to process: 2790
% Current number of ordered equations: 39
% Current number of rules: 145
% New rule produced : [146] meet(meet(X,meet(Y,X)),X) <-> meet(Y,X)
% Current number of equations to process: 2790
% Current number of ordered equations: 36
% Current number of rules: 146
% New rule produced : [147] meet(meet(X,meet(Y,X)),Y) <-> meet(Y,X)
% Current number of equations to process: 2790
% Current number of ordered equations: 34
% Current number of rules: 147
% New rule produced : [148] X join X <-> meet(X join X,Y) join X
% Current number of equations to process: 2790
% Current number of ordered equations: 33
% Current number of rules: 148
% New rule produced : [149] meet(X join X,Y) join X <-> X join X
% Current number of equations to process: 2790
% Current number of ordered equations: 32
% Current number of rules: 149
% New rule produced : [150] Y join Y <-> meet(X,Y join Y) join Y
% Current number of equations to process: 2790
% Current number of ordered equations: 31
% Current number of rules: 150
% New rule produced : [151] meet(X,Y join Y) join Y <-> Y join Y
% Current number of equations to process: 2790
% Current number of ordered equations: 30
% Current number of rules: 151
% New rule produced : [152] X join X <-> meet(X join X,X join Y)
% Current number of equations to process: 2790
% Current number of ordered equations: 29
% Current number of rules: 152
% New rule produced : [153] meet(X join X,X join Y) <-> X join X
% Current number of equations to process: 2790
% Current number of ordered equations: 28
% Current number of rules: 153
% New rule produced : [154] X join X <-> meet(X join Y,X join X)
% Current number of equations to process: 2790
% Current number of ordered equations: 26
% Current number of rules: 154
% New rule produced : [155] meet(X join Y,Y join Y) <-> Y join Y
% Current number of equations to process: 2790
% Current number of ordered equations: 24
% Current number of rules: 155
% New rule produced : [156] X join X <-> meet(Y,meet(X,Z)) join X
% Current number of equations to process: 2790
% Current number of ordered equations: 22
% Current number of rules: 156
% New rule produced : [157] meet(Y,meet(X,Z)) join X <-> X join X
% Current number of equations to process: 2790
% Current number of ordered equations: 20
% Current number of rules: 157
% New rule produced : [158] meet(Y,meet(X,Z)) join X <-> meet(X,X)
% Current number of equations to process: 2790
% Current number of ordered equations: 19
% Current number of rules: 158
% New rule produced : [159] meet(X,X) <-> meet(Y,meet(X,Z)) join X
% Current number of equations to process: 2790
% Current number of ordered equations: 18
% Current number of rules: 159
% New rule produced : [160] X join X <-> meet(meet(X,Y),Z) join X
% Current number of equations to process: 2790
% Current number of ordered equations: 16
% Current number of rules: 160
% New rule produced : [161] meet(meet(X,Y),Z) join X <-> X join X
% Current number of equations to process: 2790
% Current number of ordered equations: 14
% Current number of rules: 161
% New rule produced : [162] meet(X,X) <-> meet(meet(X,Y),Z) join X
% Current number of equations to process: 2790
% Current number of ordered equations: 13
% Current number of rules: 162
% New rule produced : [163] meet(meet(X,Y),Z) join X <-> meet(X,X)
% Current number of equations to process: 2790
% Current number of ordered equations: 12
% Current number of rules: 163
% New rule produced : [164] X join X <-> meet(Y,meet(Z,X)) join X
% Current number of equations to process: 2790
% Current number of ordered equations: 10
% Current number of rules: 164
% New rule produced : [165] meet(Y,meet(Z,X)) join X <-> X join X
% Current number of equations to process: 2790
% Current number of ordered equations: 8
% Current number of rules: 165
% New rule produced : [166] meet(X,X) <-> meet(Y,meet(Z,X)) join X
% Current number of equations to process: 2790
% Current number of ordered equations: 7
% Current number of rules: 166
% New rule produced : [167] meet(Y,meet(Z,X)) join X <-> meet(X,X)
% Current number of equations to process: 2790
% Current number of ordered equations: 6
% Current number of rules: 167
% New rule produced : [168] X join X <-> meet(meet(Y,X),Z) join X
% Current number of equations to process: 2790
% Current number of ordered equations: 4
% Current number of rules: 168
% New rule produced : [169] meet(meet(Y,X),Z) join X <-> X join X
% Current number of equations to process: 2790
% Current number of ordered equations: 2
% Current number of rules: 169
% New rule produced : [170] meet(X,X) <-> meet(meet(Y,X),Z) join X
% Current number of equations to process: 2790
% Current number of ordered equations: 1
% Current number of rules: 170
% New rule produced : [171] meet(meet(Y,X),Z) join X <-> meet(X,X)
% Current number of equations to process: 2790
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced : [172] X join X <-> meet(X,meet(X,X))
% Current number of equations to process: 4535
% Current number of ordered equations: 1
% Current number of rules: 172
% New rule produced : [173] meet(X,meet(X,X)) <-> X join X
% Current number of equations to process: 4535
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced : [174] X join X <-> meet(meet(X,X),X)
% Current number of equations to process: 4534
% Current number of ordered equations: 1
% Current number of rules: 174
% New rule produced : [175] meet(meet(X,X),X) <-> X join X
% Current number of equations to process: 4534
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced : [176] meet(X,X) <-> X join X join X
% Current number of equations to process: 4736
% Current number of ordered equations: 1
% Current number of rules: 176
% New rule produced : [177] X join X join X <-> meet(X,X)
% Current number of equations to process: 4736
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced : [178] X <-> meet(X,meet(X,X) join Y)
% Current number of equations to process: 3847
% Current number of ordered equations: 1
% Current number of rules: 178
% New rule produced : [179] meet(X,meet(X,X) join Y) <-> X
% Current number of equations to process: 3847
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced : [180] X <-> meet(meet(X,X) join Y,X)
% Current number of equations to process: 3846
% Current number of ordered equations: 1
% Current number of rules: 180
% New rule produced : [181] meet(meet(X,X) join Y,X) <-> X
% Current number of equations to process: 3846
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced : [182] Y <-> meet(X,Y join Y) join Y
% Current number of equations to process: 3845
% Current number of ordered equations: 1
% Current number of rules: 182
% New rule produced : [183] meet(X,Y join Y) join Y <-> Y
% Current number of equations to process: 3845
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced : [184] X <-> meet(X join X,Y) join X
% Current number of equations to process: 3844
% Current number of ordered equations: 1
% Current number of rules: 184
% New rule produced : [185] meet(X join X,Y) join X <-> X
% Current number of equations to process: 3844
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced : [186] meet(X,Y) join X <-> meet(X,meet(X,X))
% Current number of equations to process: 3841
% Current number of ordered equations: 1
% Current number of rules: 186
% New rule produced : [187] meet(X,meet(X,X)) <-> meet(X,Y) join X
% Current number of equations to process: 3841
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced : [188] meet(X,Y) join Y <-> meet(Y,meet(Y,Y))
% Current number of equations to process: 3840
% Current number of ordered equations: 1
% Current number of rules: 188
% New rule produced : [189] meet(Y,meet(Y,Y)) <-> meet(X,Y) join Y
% Current number of equations to process: 3840
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced : [190] meet(X,X join Y) <-> meet(X,meet(X,X))
% Current number of equations to process: 3839
% Current number of ordered equations: 1
% Current number of rules: 190
% New rule produced : [191] meet(X,meet(X,X)) <-> meet(X,X join Y)
% Current number of equations to process: 3839
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced : [192] meet(X,meet(X,X)) <-> meet(X join Y,X)
% Current number of equations to process: 3838
% Current number of ordered equations: 1
% Current number of rules: 192
% New rule produced : [193] meet(X join Y,X) <-> meet(X,meet(X,X))
% Current number of equations to process: 3838
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced : [194] meet(X,Y) join X <-> meet(meet(X,X),X)
% Current number of equations to process: 3837
% Current number of ordered equations: 1
% Current number of rules: 194
% New rule produced : [195] meet(meet(X,X),X) <-> meet(X,Y) join X
% Current number of equations to process: 3837
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced : [196] meet(X,Y) join Y <-> meet(meet(Y,Y),Y)
% Current number of equations to process: 3836
% Current number of ordered equations: 1
% Current number of rules: 196
% New rule produced : [197] meet(meet(Y,Y),Y) <-> meet(X,Y) join Y
% Current number of equations to process: 3836
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced : [198] meet(X,X join Y) <-> meet(meet(X,X),X)
% Current number of equations to process: 3835
% Current number of ordered equations: 1
% Current number of rules: 198
% New rule produced : [199] meet(meet(X,X),X) <-> meet(X,X join Y)
% Current number of equations to process: 3835
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced : [200] meet(X join Y,X) <-> meet(meet(X,X),X)
% Current number of equations to process: 3834
% Current number of ordered equations: 1
% Current number of rules: 200
% New rule produced : [201] meet(meet(X,X),X) <-> meet(X join Y,X)
% Current number of equations to process: 3834
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced : [202] meet(X,Y) join X <-> X join X join X
% Current number of equations to process: 3833
% Current number of ordered equations: 1
% Current number of rules: 202
% New rule produced : [203] X join X join X <-> meet(X,Y) join X
% Current number of equations to process: 3833
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced : [204] meet(X,Y) join Y <-> Y join Y join Y
% Current number of equations to process: 3832
% Current number of ordered equations: 1
% Current number of rules: 204
% New rule produced : [205] Y join Y join Y <-> meet(X,Y) join Y
% Current number of equations to process: 3832
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced : [206] meet(X,X join Y) <-> X join X join X
% Current number of equations to process: 3831
% Current number of ordered equations: 1
% Current number of rules: 206
% New rule produced : [207] X join X join X <-> meet(X,X join Y)
% Current number of equations to process: 3831
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced : [208] meet(X join Y,X) <-> X join X join X
% Current number of equations to process: 3830
% Current number of ordered equations: 1
% Current number of rules: 208
% New rule produced : [209] X join X join X <-> meet(X join Y,X)
% Current number of equations to process: 3830
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced : [210] meet(X,meet(X,X)) <-> X join X join X
% Current number of equations to process: 3829
% Current number of ordered equations: 1
% Current number of rules: 210
% New rule produced : [211] X join X join X <-> meet(X,meet(X,X))
% Current number of equations to process: 3829
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced : [212] meet(meet(X,X),X) <-> X join X join X
% Current number of equations to process: 3828
% Current number of ordered equations: 1
% Current number of rules: 212
% New rule produced : [213] X join X join X <-> meet(meet(X,X),X)
% Current number of equations to process: 3828
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced : [214] X <-> meet(X,meet(X,meet(X,X)))
% Current number of equations to process: 3827
% Current number of ordered equations: 1
% Current number of rules: 214
% New rule produced : [215] meet(X,meet(X,meet(X,X))) <-> X
% Current number of equations to process: 3827
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced : [216] X <-> meet(X,meet(meet(X,X),X))
% Current number of equations to process: 3826
% Current number of ordered equationCputime limit exceeded (core dumped)
% 
% EOF
%------------------------------------------------------------------------------