TSTP Solution File: LAT006-1 by CiME---2.01
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%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : LAT006-1 : TPTP v6.0.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n043.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 00:26:07 EDT 2014
% Result : Timeout 300.09s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : LAT006-1 : TPTP v6.0.0. Released v2.2.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n043.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 15:43:33 CDT 2014
% % CPUTime : 300.09
% Processing problem /tmp/CiME_50966_n043.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " c,b,a : constant; meet : 2; join : 2;";
% let X = vars "X Y Z";
% let Axioms = equations F X "
% meet(X,join(X,Y)) = X;
% meet(X,join(Y,Z)) = join(meet(Z,X),meet(Y,X));
% ";
%
% let s1 = status F "
% c lr_lex;
% b lr_lex;
% a lr_lex;
% meet mul;
% join mul;
% ";
%
% let p1 = precedence F "
% meet > join > a > b > c";
%
% let s2 = status F "
% c mul;
% b mul;
% a mul;
% meet mul;
% join 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 = { meet(X,join(X,Y)) = X,
% meet(X,join(Y,Z)) = join(meet(Z,X),meet(Y,X)) }
% (2 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] meet(X,join(X,Y)) -> X
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 1
% New rule produced : [2] meet(X,join(Y,Z)) -> join(meet(Z,X),meet(Y,X))
% Rule [1] meet(X,join(X,Y)) -> X collapsed.
% Current number of equations to process: 1
% Current number of ordered equations: 0
% Current number of rules: 1
% New rule produced : [3] join(meet(Y,X),meet(X,X)) -> X
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 2
% New rule produced :
% [4] join(meet(meet(Y,Y),X),meet(meet(Z,Y),X)) -> meet(X,Y)
% Current number of equations to process: 1
% Current number of ordered equations: 0
% Current number of rules: 3
% New rule produced : [5] meet(meet(X,Y),Y) -> meet(X,Y)
% Current number of equations to process: 4
% Current number of ordered equations: 0
% Current number of rules: 4
% New rule produced : [6] join(meet(X,X),meet(Y,X)) -> meet(X,X)
% Current number of equations to process: 5
% Current number of ordered equations: 0
% Current number of rules: 5
% New rule produced : [7] meet(X,X) -> X
% Rule [3] join(meet(Y,X),meet(X,X)) -> X collapsed.
% Rule [4] join(meet(meet(Y,Y),X),meet(meet(Z,Y),X)) -> meet(X,Y) collapsed.
% Rule [6] join(meet(X,X),meet(Y,X)) -> meet(X,X) collapsed.
% Current number of equations to process: 10
% Current number of ordered equations: 0
% Current number of rules: 3
% New rule produced : [8] join(meet(Y,X),X) -> X
% Current number of equations to process: 9
% Current number of ordered equations: 0
% Current number of rules: 4
% New rule produced : [9] join(X,meet(Y,X)) -> X
% Current number of equations to process: 8
% Current number of ordered equations: 0
% Current number of rules: 5
% join(X,Y) = join(Y,X) (birth = 31, lhs_size = 3, rhs_size = 3,trace = Cp of 7 and 2)
% Initializing completion ...
% New rule produced : [1] X <-> meet(X,X)
% Current number of equations to process: 8
% Current number of ordered equations: 9
% Current number of rules: 1
% New rule produced : [2] meet(X,X) <-> X
% Current number of equations to process: 8
% Current number of ordered equations: 8
% Current number of rules: 2
% New rule produced : [3] X <-> meet(X,X join Y)
% Current number of equations to process: 9
% Current number of ordered equations: 7
% Current number of rules: 3
% New rule produced : [4] X <-> meet(Y,X) join X
% Current number of equations to process: 9
% Current number of ordered equations: 6
% Current number of rules: 4
% New rule produced : [5] meet(X,X join Y) <-> X
% Current number of equations to process: 9
% Current number of ordered equations: 5
% Current number of rules: 5
% New rule produced : [6] meet(Y,X) join X <-> X
% Current number of equations to process: 9
% Current number of ordered equations: 4
% Current number of rules: 6
% New rule produced : [7] meet(X,Y) <-> meet(meet(X,Y),Y)
% Current number of equations to process: 30
% Current number of ordered equations: 5
% Current number of rules: 7
% New rule produced : [8] meet(meet(X,Y),Y) <-> meet(X,Y)
% Current number of equations to process: 30
% Current number of ordered equations: 4
% Current number of rules: 8
% New rule produced : [9] meet(X,Y join Z) <-> meet(Y,X) join meet(Z,X)
% Current number of equations to process: 32
% Current number of ordered equations: 21
% Current number of rules: 9
% New rule produced : [10] meet(Y,X) join meet(Z,X) <-> meet(X,Y join Z)
% Current number of equations to process: 32
% Current number of ordered equations: 20
% Current number of rules: 10
% New rule produced : [11] X <-> X join X
% Current number of equations to process: 32
% Current number of ordered equations: 19
% Current number of rules: 11
% New rule produced : [12] X join X <-> X
% Current number of equations to process: 32
% Current number of ordered equations: 18
% Current number of rules: 12
% New rule produced : [13] X <-> meet(meet(X,X),X)
% Current number of equations to process: 32
% Current number of ordered equations: 17
% Current number of rules: 13
% New rule produced : [14] meet(meet(X,X),X) <-> X
% Current number of equations to process: 32
% Current number of ordered equations: 16
% Current number of rules: 14
% New rule produced : [15] meet(X,X) <-> meet(X,X join Y)
% Current number of equations to process: 32
% Current number of ordered equations: 15
% Current number of rules: 15
% New rule produced : [16] meet(X,X join Y) <-> meet(X,X)
% Current number of equations to process: 32
% Current number of ordered equations: 14
% Current number of rules: 16
% New rule produced : [17] meet(X,X) <-> meet(Y,X) join X
% Current number of equations to process: 32
% Current number of ordered equations: 13
% Current number of rules: 17
% New rule produced : [18] meet(Y,X) join X <-> meet(X,X)
% Current number of equations to process: 32
% Current number of ordered equations: 12
% Current number of rules: 18
% New rule produced : [19] X join Y <-> (X join Y) join X
% Current number of equations to process: 32
% Current number of ordered equations: 11
% Current number of rules: 19
% New rule produced : [20] (X join Y) join X <-> X join Y
% Current number of equations to process: 32
% Current number of ordered equations: 10
% Current number of rules: 20
% New rule produced : [21] X <-> meet(meet(X,X),meet(X,X))
% Current number of equations to process: 32
% Current number of ordered equations: 9
% Current number of rules: 21
% New rule produced : [22] meet(meet(X,X),meet(X,X)) <-> X
% Current number of equations to process: 32
% Current number of ordered equations: 8
% Current number of rules: 22
% New rule produced : [23] meet(X,X join Y) <-> meet(X,X join Z)
% Current number of equations to process: 32
% Current number of ordered equations: 6
% Current number of rules: 23
% New rule produced : [24] meet(X,Y) join Y <-> meet(Z,Y) join Y
% Current number of equations to process: 32
% Current number of ordered equations: 4
% Current number of rules: 24
% New rule produced : [25] meet(X,X join Y) <-> meet(Z,X) join X
% Current number of equations to process: 32
% Current number of ordered equations: 3
% Current number of rules: 25
% New rule produced : [26] meet(Z,X) join X <-> meet(X,X join Y)
% Current number of equations to process: 32
% Current number of ordered equations: 2
% Current number of rules: 26
% New rule produced : [27] meet(X,Y) <-> meet(meet(meet(X,Y),Y),Y)
% Current number of equations to process: 32
% Current number of ordered equations: 1
% Current number of rules: 27
% New rule produced : [28] meet(meet(meet(X,Y),Y),Y) <-> meet(X,Y)
% Current number of equations to process: 32
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced : [29] X <-> meet(X,X) join meet(Y,X)
% Current number of equations to process: 41
% Current number of ordered equations: 1
% Current number of rules: 29
% New rule produced : [30] meet(X,X) join meet(Y,X) <-> X
% Current number of equations to process: 41
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced : [31] meet(X,X) <-> X join X
% Current number of equations to process: 62
% Current number of ordered equations: 1
% Current number of rules: 31
% New rule produced : [32] X join X <-> meet(X,X)
% Current number of equations to process: 62
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced : [33] meet(X,X join Y) <-> X join X
% Current number of equations to process: 83
% Current number of ordered equations: 1
% Current number of rules: 33
% New rule produced : [34] X join X <-> meet(X,X join Y)
% Current number of equations to process: 83
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced : [35] Y join Y <-> meet(X,Y) join Y
% Current number of equations to process: 82
% Current number of ordered equations: 1
% Current number of rules: 35
% New rule produced : [36] meet(X,Y) join Y <-> Y join Y
% Current number of equations to process: 82
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced : [37] meet(meet(X,X),X) <-> X join X
% Current number of equations to process: 94
% Current number of ordered equations: 1
% Current number of rules: 37
% New rule produced : [38] X join X <-> meet(meet(X,X),X)
% Current number of equations to process: 94
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced : [39] X <-> meet(X join X,X join X)
% Current number of equations to process: 105
% Current number of ordered equations: 1
% Current number of rules: 39
% New rule produced : [40] meet(X join X,X join X) <-> X
% Current number of equations to process: 105
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced : [41] X <-> (X join X) join (X join X)
% Current number of equations to process: 104
% Current number of ordered equations: 1
% Current number of rules: 41
% New rule produced : [42] (X join X) join (X join X) <-> X
% Current number of equations to process: 104
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced : [43] meet(X,X join Y) <-> meet(meet(X,X),X)
% Current number of equations to process: 103
% Current number of ordered equations: 1
% Current number of rules: 43
% New rule produced : [44] meet(meet(X,X),X) <-> meet(X,X join Y)
% Current number of equations to process: 103
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced : [45] meet(meet(Y,Y),Y) <-> meet(X,Y) join Y
% Current number of equations to process: 102
% Current number of ordered equations: 1
% Current number of rules: 45
% New rule produced : [46] meet(X,Y) join Y <-> meet(meet(Y,Y),Y)
% Current number of equations to process: 102
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced : [47] X <-> meet(meet(meet(X,X),X),X)
% Current number of equations to process: 101
% Current number of ordered equations: 1
% Current number of rules: 47
% New rule produced : [48] meet(meet(meet(X,X),X),X) <-> X
% Current number of equations to process: 101
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced : [49] X <-> meet(X,X join Y) join X
% Current number of equations to process: 100
% Current number of ordered equations: 1
% Current number of rules: 49
% New rule produced : [50] meet(X,X join Y) join X <-> X
% Current number of equations to process: 100
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced : [51] X <-> meet(meet(X,X join Y),X)
% Current number of equations to process: 112
% Current number of ordered equations: 1
% Current number of rules: 51
% New rule produced : [52] meet(meet(X,X join Y),X) <-> X
% Current number of equations to process: 112
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced : [53] Y <-> (meet(X,Y) join Y) join Y
% Current number of equations to process: 122
% Current number of ordered equations: 1
% Current number of rules: 53
% New rule produced : [54] (meet(X,Y) join Y) join Y <-> Y
% Current number of equations to process: 122
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced : [55] X <-> meet(X,meet(X,X))
% Current number of equations to process: 135
% Current number of ordered equations: 1
% Current number of rules: 55
% New rule produced : [56] meet(X,meet(X,X)) <-> X
% Current number of equations to process: 135
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced : [57] Y <-> meet(meet(X,Y) join Y,Y)
% Current number of equations to process: 134
% Current number of ordered equations: 1
% Current number of rules: 57
% New rule produced : [58] meet(meet(X,Y) join Y,Y) <-> Y
% Current number of equations to process: 134
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced : [59] (X join Y) join X <-> (X join Y) join Y
% Current number of equations to process: 148
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced : [60] X <-> meet(X,(X join Y) join Y)
% Current number of equations to process: 147
% Current number of ordered equations: 1
% Current number of rules: 60
% New rule produced : [61] meet(X,(X join Y) join Y) <-> X
% Current number of equations to process: 147
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced : [62] X <-> (X join X) join X
% Current number of equations to process: 151
% Current number of ordered equations: 1
% Current number of rules: 62
% New rule produced : [63] (X join X) join X <-> X
% Current number of equations to process: 151
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced : [64] meet(X,X join Y) <-> meet(X,meet(X,X))
% Current number of equations to process: 257
% Current number of ordered equations: 1
% Current number of rules: 64
% New rule produced : [65] meet(X,meet(X,X)) <-> meet(X,X join Y)
% Current number of equations to process: 257
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced : [66] meet(X,meet(X,X)) <-> meet(Y,X) join X
% Current number of equations to process: 305
% Current number of ordered equations: 1
% Current number of rules: 66
% New rule produced : [67] meet(Y,X) join X <-> meet(X,meet(X,X))
% Current number of equations to process: 305
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced : [68] X <-> meet(X,meet(X,X join Y))
% Current number of equations to process: 304
% Current number of ordered equations: 1
% Current number of rules: 68
% New rule produced : [69] meet(X,meet(X,X join Y)) <-> X
% Current number of equations to process: 304
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced : [70] meet(X,Y) <-> meet(Y,X) join meet(Y,X)
% Current number of equations to process: 329
% Current number of ordered equations: 1
% Current number of rules: 70
% New rule produced : [71] meet(Y,X) join meet(Y,X) <-> meet(X,Y)
% Current number of equations to process: 329
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced : [72] X join Y <-> meet(X,X) join (X join Y)
% Current number of equations to process: 328
% Current number of ordered equations: 1
% Current number of rules: 72
% New rule produced : [73] meet(X,X) join (X join Y) <-> X join Y
% Current number of equations to process: 328
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced : [74] meet(X,X) <-> meet(X,X) join meet(Y,X)
% Current number of equations to process: 327
% Current number of ordered equations: 1
% Current number of rules: 74
% New rule produced : [75] meet(X,X) join meet(Y,X) <-> meet(X,X)
% Current number of equations to process: 327
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced : [76] meet(X,Y) <-> meet(meet(X,Y),meet(Y,Y))
% Current number of equations to process: 326
% Current number of ordered equations: 1
% Current number of rules: 76
% New rule produced : [77] meet(meet(X,Y),meet(Y,Y)) <-> meet(X,Y)
% Current number of equations to process: 326
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced : [78] meet(X,X) <-> meet(X,X join Y) join X
% Current number of equations to process: 325
% Current number of ordered equations: 1
% Current number of rules: 78
% New rule produced : [79] meet(X,X join Y) join X <-> meet(X,X)
% Current number of equations to process: 325
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced : [80] meet(Y,Y) <-> (meet(X,Y) join Y) join Y
% Current number of equations to process: 324
% Current number of ordered equations: 1
% Current number of rules: 80
% New rule produced : [81] (meet(X,Y) join Y) join Y <-> meet(Y,Y)
% Current number of equations to process: 324
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced : [82] meet(X,X) <-> meet(X,(X join Y) join Y)
% Current number of equations to process: 323
% Current number of ordered equations: 1
% Current number of rules: 82
% New rule produced : [83] meet(X,(X join Y) join Y) <-> meet(X,X)
% Current number of equations to process: 323
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced : [84] X join Y <-> ((X join Y) join X) join X
% Current number of equations to process: 320
% Current number of ordered equations: 3
% Current number of rules: 84
% New rule produced : [85] X join Y <-> ((X join Y) join X) join Y
% Current number of equations to process: 320
% Current number of ordered equations: 2
% Current number of rules: 85
% New rule produced : [86] ((X join Y) join X) join X <-> X join Y
% Current number of equations to process: 320
% Current number of ordered equations: 1
% Current number of rules: 86
% New rule produced : [87] ((X join Y) join X) join Y <-> X join Y
% Current number of equations to process: 320
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced : [88] meet(meet(X,X),meet(X,X)) <-> X join X
% Current number of equations to process: 319
% Current number of ordered equations: 1
% Current number of rules: 88
% New rule produced : [89] X join X <-> meet(meet(X,X),meet(X,X))
% Current number of equations to process: 319
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced : [90] X <-> meet(X join X,X)
% Current number of equations to process: 456
% Current number of ordered equations: 1
% Current number of rules: 90
% New rule produced : [91] meet(X join X,X) <-> X
% Current number of equations to process: 456
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced : [92] meet(X,X) <-> (X join X) join X
% Current number of equations to process: 467
% Current number of ordered equations: 1
% Current number of rules: 92
% New rule produced : [93] (X join X) join X <-> meet(X,X)
% Current number of equations to process: 467
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced : [94] X <-> meet(meet(X,X),X join X)
% Current number of equations to process: 480
% Current number of ordered equations: 3
% Current number of rules: 94
% New rule produced : [95] X <-> meet(X join X,meet(X,X))
% Current number of equations to process: 480
% Current number of ordered equations: 2
% Current number of rules: 95
% New rule produced : [96] meet(meet(X,X),X join X) <-> X
% Current number of equations to process: 480
% Current number of ordered equations: 1
% Current number of rules: 96
% New rule produced : [97] meet(X join X,meet(X,X)) <-> X
% Current number of equations to process: 480
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced : [98] meet(Y,X) join X <-> (X join X) join X
% Current number of equations to process: 479
% Current number of ordered equations: 1
% Current number of rules: 98
% New rule produced : [99] (X join X) join X <-> meet(Y,X) join X
% Current number of equations to process: 479
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced : [100] meet(X,X join Y) <-> (X join X) join X
% Current number of equations to process: 478
% Current number of ordered equations: 1
% Current number of rules: 100
% New rule produced : [101] (X join X) join X <-> meet(X,X join Y)
% Current number of equations to process: 478
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced : [102] X <-> meet(X,X) join (X join X)
% Current number of equations to process: 476
% Current number of ordered equations: 3
% Current number of rules: 102
% New rule produced : [103] Y <-> meet(X,Y) join (Y join Y)
% Rule [102] X <-> meet(X,X) join (X join X) collapsed.
% Current number of equations to process: 476
% Current number of ordered equations: 2
% Current number of rules: 102
% New rule produced : [104] meet(X,X) join (X join X) <-> X
% Current number of equations to process: 476
% Current number of ordered equations: 1
% Current number of rules: 103
% New rule produced : [105] meet(X,Y) join (Y join Y) <-> Y
% Rule [104] meet(X,X) join (X join X) <-> X collapsed.
% Current number of equations to process: 476
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced : [106] meet(X,meet(X,X)) <-> X join X
% Current number of equations to process: 486
% Current number of ordered equations: 1
% Current number of rules: 104
% New rule produced : [107] X join X <-> meet(X,meet(X,X))
% Current number of equations to process: 486
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced : [108] X join X <-> meet(X join X,X)
% Current number of equations to process: 575
% Current number of ordered equations: 1
% Current number of rules: 106
% New rule produced : [109] meet(X join X,X) <-> X join X
% Current number of equations to process: 575
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced : [110] X <-> meet(X,meet(meet(X,X),X))
% Current number of equations to process: 574
% Current number of ordered equations: 1
% Current number of rules: 108
% New rule produced : [111] meet(X,meet(meet(X,X),X)) <-> X
% Current number of equations to process: 574
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced : [112] meet(meet(X,X),X) <-> (X join X) join X
% Current number of equations to process: 595
% Current number of ordered equations: 1
% Current number of rules: 110
% New rule produced : [113] (X join X) join X <-> meet(meet(X,X),X)
% Current number of equations to process: 595
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced : [114] meet(X,meet(X,X)) <-> meet(meet(X,X),X)
% Current number of equations to process: 807
% Current number of ordered equations: 1
% Current number of rules: 112
% New rule produced : [115] meet(meet(X,X),X) <-> meet(X,meet(X,X))
% Current number of equations to process: 807
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced : [116] meet(X,X join Y) <-> meet(X join X,X)
% Current number of equations to process: 856
% Current number of ordered equations: 1
% Current number of rules: 114
% New rule produced : [117] meet(X join X,X) <-> meet(X,X join Y)
% Current number of equations to process: 856
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced : [118] meet(Y,X) join X <-> meet(X join X,X)
% Current number of equations to process: 887
% Current number of ordered equations: 1
% Current number of rules: 116
% New rule produced : [119] meet(X join X,X) <-> meet(Y,X) join X
% Current number of equations to process: 887
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced : [120] X <-> meet(meet(X join X,X),X)
% Current number of equations to process: 1044
% Current number of ordered equations: 1
% Current number of rules: 118
% New rule produced : [121] meet(meet(X join X,X),X) <-> X
% Current number of equations to process: 1044
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced : [122] X <-> meet(X,meet(X,X)) join X
% Current number of equations to process: 1145
% Current number of ordered equations: 1
% Current number of rules: 120
% New rule produced : [123] meet(X,meet(X,X)) join X <-> X
% Current number of equations to process: 1145
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced : [124] X <-> meet(meet(X,meet(X,X)),X)
% Current number of equations to process: 1277
% Current number of ordered equations: 1
% Current number of rules: 122
% New rule produced : [125] meet(meet(X,meet(X,X)),X) <-> X
% Current number of equations to process: 1277
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced : [126] X <-> ((X join X) join X) join X
% Current number of equations to process: 1581
% Current number of ordered equations: 1
% Current number of rules: 124
% New rule produced : [127] ((X join X) join X) join X <-> X
% Current number of equations to process: 1581
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced : [128] X <-> meet((X join X) join X,X)
% Current number of equations to process: 1734
% Current number of ordered equations: 1
% Current number of rules: 126
% New rule produced : [129] meet((X join X) join X,X) <-> X
% Current number of equations to process: 1734
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced : [130] X join Y <-> (X join Y) join Y
% Current number of equations to process: 1749
% Current number of ordered equations: 1
% Current number of rules: 128
% New rule produced : [131] (X join Y) join Y <-> X join Y
% Current number of equations to process: 1749
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced : [132] meet(X,meet(X,X)) <-> (X join X) join X
% Current number of equations to process: 2117
% Current number of ordered equations: 1
% Current number of rules: 130
% New rule produced : [133] (X join X) join X <-> meet(X,meet(X,X))
% Current number of equations to process: 2117
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced : [134] X <-> meet(X,meet(X,meet(X,X)))
% Current number of equations to process: 2279
% Current number of ordered equations: 1
% Current number of rules: 132
% New rule produced : [135] meet(X,meet(X,meet(X,X))) <-> X
% Current number of equations to process: 2279
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced : [136] X join X <-> meet(X,X) join meet(Y,X)
% Current number of equations to process: 2547
% Current number of ordered equations: 1
% Current number of rules: 134
% New rule produced : [137] meet(X,X) join meet(Y,X) <-> X join X
% Current number of equations to process: 2547
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced : [138] meet(Y,Y) <-> meet(X,meet(Y,Y)) join Y
% Current number of equations to process: 2546
% Current number of ordered equations: 1
% Current number of rules: 136
% New rule produced : [139] meet(X,meet(Y,Y)) join Y <-> meet(Y,Y)
% Current number of equations to process: 2546
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced : [140] X join X <-> meet(meet(meet(X,X),X),X)
% Current number of equations to process: 2544
% Current number of ordered equations: 1
% Current number of rules: 138
% New rule produced : [141] meet(meet(meet(X,X),X),X) <-> X join X
% Current number of equations to process: 2544
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced : [142] meet(X,X) <-> meet(X join X,X join X)
% Current number of equations to process: 2543
% Current number of ordered equations: 1
% Current number of rules: 140
% New rule produced : [143] meet(X join X,X join X) <-> meet(X,X)
% Current number of equations to process: 2543
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced : [144] meet(X,X) <-> (X join X) join (X join X)
% Current number of equations to process: 2542
% Current number of ordered equations: 1
% Current number of rules: 142
% New rule produced : [145] (X join X) join (X join X) <-> meet(X,X)
% Current number of equations to process: 2542
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced : [146] X join Y <-> (X join X) join (X join Y)
% Current number of equations to process: 2541
% Current number of ordered equations: 1
% Current number of rules: 144
% New rule produced : [147] (X join X) join (X join Y) <-> X join Y
% Current number of equations to process: 2541
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced : [148] meet(X,(X join Y) join Y) <-> X join X
% Current number of equations to process: 2539
% Current number of ordered equations: 1
% Current number of rules: 146
% New rule produced : [149] X join X <-> meet(X,(X join Y) join Y)
% Current number of equations to process: 2539
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced : [150] meet(X,meet(X,X join Y)) <-> X join X
% Current number of equations to process: 2538
% Current number of ordered equations: 1
% Current number of rules: 148
% New rule produced : [151] X join X <-> meet(X,meet(X,X join Y))
% Current number of equations to process: 2538
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced : [152] meet(X,Y) <-> meet(meet(X,Y),Y join Y)
% Current number of equations to process: 2537
% Current number of ordered equations: 1
% Current number of rules: 150
% New rule produced : [153] meet(meet(X,Y),Y join Y) <-> meet(X,Y)
% Current number of equations to process: 2537
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced : [154] meet(meet(X,X join Y),X) <-> X join X
% Current number of equations to process: 2535
% Current number of ordered equations: 1
% Current number of rules: 152
% New rule produced : [155] X join X <-> meet(meet(X,X join Y),X)
% Current number of equations to process: 2535
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced : [156] Y join Y <-> meet(meet(X,Y) join Y,Y)
% Current number of equations to process: 2534
% Current number of ordered equations: 1
% Current number of rules: 154
% New rule produced : [157] meet(meet(X,Y) join Y,Y) <-> Y join Y
% Current number of equations to process: 2534
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced : [158] meet(X,meet(meet(X,X),X)) <-> X join X
% Current number of equations to process: 2533
% Current number of ordered equations: 1
% Current number of rules: 156
% New rule produced : [159] X join X <-> meet(X,meet(meet(X,X),X))
% Current number of equations to process: 2533
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced : [160] Y join Y <-> meet(X,Y join Y) join Y
% Current number of equations to process: 2531
% Current number of ordered equations: 1
% Current number of rules: 158
% New rule produced : [161] meet(X,Y join Y) join Y <-> Y join Y
% Current number of equations to process: 2531
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced : [162] meet(X,meet(X,meet(X,X))) <-> X join X
% Current number of equations to process: 2523
% Current number of ordered equations: 1
% Current number of rules: 160
% New rule produced : [163] X join X <-> meet(X,meet(X,meet(X,X)))
% Current number of equations to process: 2523
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced : [164] meet(X,Y) <-> meet(meet(X,Y),meet(Y,X))
% Current number of equations to process: 2598
% Current number of ordered equations: 1
% Current number of rules: 162
% New rule produced : [165] meet(meet(X,Y),meet(Y,X)) <-> meet(X,Y)
% Current number of equations to process: 2598
% Current number of ordered equations: 0
% Current number of rules: 163
% meet(X,Y) = meet(Y,X) (birth = 2761, lhs_size = 3, rhs_size = 3,trace = Cp of 71 and 12)
% Initializing completion ...
% New rule produced : [1] X <-> X meet X
% Current number of equations to process: 1
% Current number of ordered equations: 234
% Current number of rules: 1
% New rule produced : [2] X <-> X join X
% Current number of equations to process: 1
% Current number of ordered equations: 230
% Current number of rules: 2
% New rule produced : [3] (eq)(X,X) -> (true)
% Current number of equations to process: 1
% Current number of ordered equations: 229
% Current number of rules: 3
% New rule produced : [4] X meet X <-> X
% Current number of equations to process: 1
% Current number of ordered equations: 225
% Current number of rules: 4
% New rule produced : [5] X join X <-> X
% Current number of equations to process: 1
% Current number of ordered equations: 221
% Current number of rules: 5
% New rule produced : [6] X meet X <-> X join X
% Current number of equations to process: 6
% Current number of ordered equations: 220
% Current number of rules: 6
% New rule produced : [7] X join X <-> X meet X
% Current number of equations to process: 6
% Current number of ordered equations: 219
% Current number of rules: 7
% New rule produced : [8] X <-> (X join Y) meet X
% Current number of equations to process: 9
% Current number of ordered equations: 212
% Current number of rules: 8
% New rule produced : [9] X <-> (X meet X) meet X
% Current number of equations to process: 9
% Current number of ordered equations: 210
% Current number of rules: 9
% New rule produced : [10] X <-> (X meet Y) join X
% Current number of equations to process: 9
% Current number of ordered equations: 204
% Current number of rules: 10
% New rule produced : [11] X <-> (X join X) join X
% Current number of equations to process: 9
% Current number of ordered equations: 202
% Current number of rules: 11
% New rule produced : [12] (X join Y) meet X <-> X
% Current number of equations to process: 9
% Current number of ordered equations: 195
% Current number of rules: 12
% New rule produced : [13] (X meet X) meet X <-> X
% Current number of equations to process: 9
% Current number of ordered equations: 193
% Current number of rules: 13
% New rule produced : [14] (X meet Y) join X <-> X
% Current number of equations to process: 9
% Current number of ordered equations: 187
% Current number of rules: 14
% New rule produced : [15] (X join X) join X <-> X
% Current number of equations to process: 9
% Current number of ordered equations: 185
% Current number of rules: 15
% New rule produced : [16] X meet X <-> (X join Y) meet X
% Current number of equations to process: 91
% Current number of ordered equations: 183
% Current number of rules: 16
% New rule produced : [17] X meet X <-> (X meet Y) join X
% Current number of equations to process: 91
% Current number of ordered equations: 179
% Current number of rules: 17
% New rule produced : [18] X meet X <-> (X join X) join X
% Current number of equations to process: 91
% Current number of ordered equations: 177
% Current number of rules: 18
% New rule produced : [19] X meet Y <-> (X meet Y) meet Y
% Current number of equations to process: 91
% Current number of ordered equations: 176
% Current number of rules: 19
% New rule produced : [20] (X join Y) meet X <-> X meet X
% Current number of equations to process: 91
% Current number of ordered equations: 174
% Current number of rules: 20
% New rule produced : [21] (X join Y) meet X <-> X join X
% Current number of equations to process: 91
% Current number of ordered equations: 169
% Current number of rules: 21
% New rule produced : [22] (X meet X) meet X <-> X join X
% Current number of equations to process: 91
% Current number of ordered equations: 168
% Current number of rules: 22
% New rule produced : [23] (X meet Y) meet Y <-> X meet Y
% Current number of equations to process: 91
% Current number of ordered equations: 167
% Current number of rules: 23
% New rule produced : [24] X join X <-> (X join Y) meet X
% Current number of equations to process: 91
% Current number of ordered equations: 162
% Current number of rules: 24
% New rule produced : [25] X join X <-> (X meet X) meet X
% Current number of equations to process: 91
% Current number of ordered equations: 161
% Current number of rules: 25
% New rule produced : [26] X join Y <-> (X join Y) join X
% Current number of equations to process: 91
% Current number of ordered equations: 160
% Current number of rules: 26
% New rule produced : [27] X join Y <-> (X join Y) join Y
% Current number of equations to process: 91
% Current number of ordered equations: 158
% Current number of rules: 27
% New rule produced : [28] Y join Y <-> (X meet Y) join Y
% Current number of equations to process: 91
% Current number of ordered equations: 156
% Current number of rules: 28
% New rule produced : [29] (X join Y) join X <-> X join Y
% Current number of equations to process: 91
% Current number of ordered equations: 155
% Current number of rules: 29
% New rule produced : [30] (X join Y) join Y <-> X join Y
% Current number of equations to process: 91
% Current number of ordered equations: 153
% Current number of rules: 30
% New rule produced : [31] (X meet Y) join X <-> X meet X
% Current number of equations to process: 91
% Current number of ordered equations: 149
% Current number of rules: 31
% New rule produced : [32] (X meet Y) join Y <-> Y join Y
% Current number of equations to process: 91
% Current number of ordered equations: 147
% Current number of rules: 32
% New rule produced : [33] (X join X) join X <-> X meet X
% Current number of equations to process: 91
% Current number of ordered equations: 145
% Current number of rules: 33
% New rule produced : [34] X <-> (X meet X) meet (X meet X)
% Current number of equations to process: 352
% Current number of ordered equations: 146
% Current number of rules: 34
% New rule produced : [35] X <-> (X meet X) meet (X join X)
% Current number of equations to process: 352
% Current number of ordered equations: 144
% Current number of rules: 35
% New rule produced : [36] X <-> (X meet X) join (X meet Y)
% Current number of equations to process: 352
% Current number of ordered equations: 142
% Current number of rules: 36
% New rule produced : [37] X <-> ((X meet X) meet X) meet X
% Current number of equations to process: 352
% Current number of ordered equations: 140
% Current number of rules: 37
% New rule produced : [38] X <-> ((X join Y) join Y) meet X
% Current number of equations to process: 352
% Current number of ordered equations: 138
% Current number of rules: 38
% New rule produced : [39] X <-> (X join X) meet (X join X)
% Current number of equations to process: 352
% Current number of ordered equations: 136
% Current number of rules: 39
% New rule produced : [40] X <-> (X join X) join (X join X)
% Current number of equations to process: 352
% Current number of ordered equations: 134
% Current number of rules: 40
% New rule produced : [41] X <-> ((X join X) join X) join X
% Current number of equations to process: 352
% Current number of ordered equations: 132
% Current number of rules: 41
% New rule produced : [42] X <-> ((X join Y) meet X) meet X
% Current number of equations to process: 352
% Current number of ordered equations: 128
% Current number of rules: 42
% New rule produced : [43] Y <-> (X meet Y) join (Y join Y)
% Current number of equations to process: 352
% Current number of ordered equations: 126
% Current number of rules: 43
% New rule produced : [44] Y <-> ((X meet Y) join Y) join Y
% Current number of equations to process: 352
% Current number of ordered equations: 124
% Current number of rules: 44
% New rule produced : [45] (X join Y) meet X <-> (X meet X) meet X
% Current number of equations to process: 352
% Current number of ordered equations: 123
% Current number of rules: 45
% New rule produced : [46] (X join Y) meet X <-> (X meet Z) join X
% Current number of equations to process: 352
% Current number of ordered equations: 121
% Current number of rules: 46
% New rule produced : [47] (X join Y) meet X <-> (X join Z) meet X
% Current number of equations to process: 352
% Current number of ordered equations: 117
% Current number of rules: 47
% New rule produced : [48] (X join Y) meet X <-> (X join X) join X
% Current number of equations to process: 352
% Current number of ordered equations: 116
% Current number of rules: 48
% New rule produced : [49] (X meet X) meet X <-> (X join Y) meet X
% Current number of equations to process: 352
% Current number of ordered equations: 115
% Current number of rules: 49
% New rule produced : [50] (X meet X) meet X <-> (X meet Y) join X
% Current number of equations to process: 352
% Current number of ordered equations: 113
% Current number of rules: 50
% New rule produced : [51] (X meet X) meet X <-> (X join X) join X
% Current number of equations to process: 352
% Current number of ordered equations: 112
% Current number of rules: 51
% New rule produced : [52] (X meet X) meet (X meet X) <-> X
% Current number of equations to process: 352
% Current number of ordered equations: 111
% Current number of rules: 52
% New rule produced : [53] (X meet X) meet (X join X) <-> X
% Current number of equations to process: 352
% Current number of ordered equations: 109
% Current number of rules: 53
% New rule produced : [54] (X join Y) join X <-> (X join Y) join Y
% Current number of equations to process: 352
% Current number of ordered equations: 107
% Current number of rules: 54
% New rule produced : [55] (X meet X) join (X meet Y) <-> X
% Current number of equations to process: 352
% Current number of ordered equations: 105
% Current number of rules: 55
% New rule produced : [56] (X meet Y) join X <-> (X meet X) meet X
% Current number of equations to process: 352
% Current number of ordered equations: 103
% Current number of rules: 56
% New rule produced : [57] (X meet Y) join X <-> (X join X) meet X
% Current number of equations to process: 352
% Current number of ordered equations: 102
% Current number of rules: 57
% New rule produced : [58] (X meet Y) join X <-> (X join X) join X
% Current number of equations to process: 352
% Current number of ordered equations: 101
% Current number of rules: 58
% New rule produced : [59] (X meet Y) join Y <-> (Y meet Z) join Y
% Current number of equations to process: 352
% Current number of ordered equations: 99
% Current number of rules: 59
% New rule produced : [60] (X meet Y) join (Y join Y) <-> Y
% Current number of equations to process: 352
% Current number of ordered equations: 97
% Current number of rules: 60
% New rule produced : [61] (X meet Z) join X <-> (X join Y) meet X
% Rule [57] (X meet Y) join X <-> (X join X) meet X collapsed.
% Current number of equations to process: 352
% Current number of ordered equations: 96
% Current number of rules: 60
% New rule produced : [62] ((X meet X) meet X) meet X <-> X
% Current number of equations to process: 352
% Current number of ordered equations: 94
% Current number of rules: 61
% New rule produced : [63] ((X join Y) join Y) meet X <-> X
% Current number of equations to process: 352
% Current number of ordered equations: 92
% Current number of rules: 62
% New rule produced : [64] ((X meet Y) join Y) join Y <-> Y
% Current number of equations to process: 352
% Current number of ordered equations: 90
% Current number of rules: 63
% New rule produced : [65] (X join X) meet (X join X) <-> X
% Current number of equations to process: 352
% Current number of ordered equations: 88
% Current number of rules: 64
% New rule produced : [66] (X join X) join X <-> (X join Y) meet X
% Current number of equations to process: 352
% Current number of ordered equations: 87
% Current number of rules: 65
% New rule produced : [67] (X join X) join X <-> (X meet X) meet X
% Current number of equations to process: 352
% Current number of ordered equations: 86
% Current number of rules: 66
% New rule produced : [68] (X join X) join X <-> (X meet Y) join X
% Current number of equations to process: 352
% Current number of ordered equations: 85
% Current number of rules: 67
% New rule produced : [69] (X join X) join (X join X) <-> X
% Current number of equations to process: 352
% Current number of ordered equations: 83
% Current number of rules: 68
% New rule produced : [70] ((X join X) join X) join X <-> X
% Current number of equations to process: 352
% Current number of ordered equations: 81
% Current number of rules: 69
% New rule produced : [71] ((X join Y) meet X) meet X <-> X
% Current number of equations to process: 352
% Current number of ordered equations: 77
% Current number of rules: 70
% New rule produced : [72] X meet X <-> (X meet X) join (X meet Y)
% Current number of equations to process: 2415
% Current number of ordered equations: 83
% Current number of rules: 71
% New rule produced : [73] X meet X <-> ((X join Y) join Y) meet X
% Current number of equations to process: 2416
% Current number of ordered equations: 81
% Current number of rules: 72
% New rule produced : [74] X meet X <-> (X join X) meet (X join X)
% Current number of equations to process: 2416
% Current number of ordered equations: 79
% Current number of rules: 73
% New rule produced : [75] X meet X <-> (X join X) join (X join X)
% Current number of equations to process: 2416
% Current number of ordered equations: 77
% Current number of rules: 74
% New rule produced : [76] X meet Y <-> (X meet Y) meet (Y meet Y)
% Current number of equations to process: 2416
% Current number of ordered equations: 75
% Current number of rules: 75
% New rule produced : [77] X meet Y <-> (X meet Y) meet (Y join Y)
% Current number of equations to process: 2416
% Current number of ordered equations: 73
% Current number of rules: 76
% New rule produced : [78] X meet Y <-> ((X meet Y) meet Y) meet Y
% Current number of equations to process: 2416
% Current number of ordered equations: 72
% Current number of rules: 77
% New rule produced : [79] Y meet Y <-> ((Y meet Y) meet X) join Y
% Current number of equations to process: 2416
% Current number of ordered equations: 70
% Current number of rules: 78
% New rule produced : [80] Y meet Y <-> ((X meet Y) join Y) join Y
% Current number of equations to process: 2416
% Current number of ordered equations: 68
% Current number of rules: 79
% New rule produced : [81] (X meet X) meet (X meet X) <-> X join X
% Current number of equations to process: 2416
% Current number of ordered equations: 66
% Current number of rules: 80
% New rule produced : [82] (X meet Y) meet (Y meet Y) <-> X meet Y
% Current number of equations to process: 2416
% Current number of ordered equations: 64
% Current number of rules: 81
% New rule produced : [83] (X meet Y) meet (Y join Y) <-> X meet Y
% Current number of equations to process: 2416
% Current number of ordered equations: 62
% Current number of rules: 82
% New rule produced : [84] X join X <-> (X meet X) meet (X meet X)
% Current number of equations to process: 2416
% Current number of ordered equations: 60
% Current number of rules: 83
% New rule produced : [85] X join X <-> (X meet X) join (X meet Y)
% Current number of equations to process: 2416
% Current number of ordered equations: 58
% Current number of rules: 84
% New rule produced : [86] X join X <-> ((X meet X) meet X) meet X
% Current number of equations to process: 2416
% Current number of ordered equations: 56
% Current number of rules: 85
% New rule produced : [87] X join X <-> ((X join Y) join Y) meet X
% Current number of equations to process: 2416
% Current number of ordered equations: 54
% Current number of rules: 86
% New rule produced : [88] X join X <-> ((X join Y) meet X) meet X
% Current number of equations to process: 2416
% Current number of ordered equations: 52
% Current number of rules: 87
% New rule produced : [89] X join Y <-> (X meet X) join (X join Y)
% Current number of equations to process: 2416
% Current number of ordered equations: 51
% Current number of rules: 88
% New rule produced : [90] X join Y <-> (X join X) join (X join Y)
% Current number of equations to process: 2416
% Current number of ordered equations: 49
% Current number of rules: 89
% New rule produced : [91] X join Y <-> ((X join Y) join X) join X
% Current number of equations to process: 2416
% Current number of ordered equations: 47
% Current number of rules: 90
% New rule produced : [92] X join Y <-> ((X join Y) join X) join Y
% Current number of equations to process: 2416
% Current number of ordered equations: 45
% Current number of rules: 91
% New rule produced : [93] Y join Y <-> ((Y join Y) meet X) join Y
% Current number of equations to process: 2416
% Current number of ordered equations: 43
% Current number of rules: 92
% New rule produced : [94] (X meet X) join (X join Y) <-> X join Y
% Current number of equations to process: 2416
% Current number of ordered equations: 42
% Current number of rules: 93
% New rule produced : [95] (X meet X) join (X meet Y) <-> X meet X
% Current number of equations to process: 2416
% Current number of ordered equations: 40
% Current number of rules: 94
% New rule produced : [96] (X meet X) join (X meet Y) <-> X join X
% Current number of equations to process: 2416
% Current number of ordered equations: 38
% Current number of rules: 95
% New rule produced : [97] ((Y meet Y) meet X) join Y <-> Y meet Y
% Current number of equations to process: 2416
% Current number of ordered equations: 36
% Current number of rules: 96
% New rule produced : [98] ((X meet Y) meet Y) meet Y <-> X meet Y
% Current number of equations to process: 2416
% Current number of ordered equations: 35
% Current number of rules: 97
% New rule produced : [99] ((X meet X) meet X) meet X <-> X join X
% Current number of equations to process: 2416
% Current number of ordered equations: 33
% Current number of rules: 98
% New rule produced : [100] ((X join Y) join Y) meet X <-> X meet X
% Current number of equations to process: 2416
% Current number of ordered equations: 31
% Current number of rules: 99
% New rule produced : [101] ((X join Y) join Y) meet X <-> X join X
% Current number of equations to process: 2416
% Current number of ordered equations: 29
% Current number of rules: 100
% New rule produced : [102] ((X meet Y) join Y) join Y <-> Y meet Y
% Current number of equations to process: 2416
% Current number of ordered equations: 27
% Current number of rules: 101
% New rule produced : [103] (X join X) meet (X join X) <-> X meet X
% Current number of equations to process: 2416
% Current number of ordered equations: 25
% Current number of rules: 102
% New rule produced : [104] (X join X) join (X join Y) <-> X join Y
% Current number of equations to process: 2416
% Current number of ordered equations: 23
% Current number of rules: 103
% New rule produced : [105] (X join X) join (X join X) <-> X meet X
% Current number of equations to process: 2416
% Current number of ordered equations: 21
% Current number of rules: 104
% New rule produced : [106] ((X join Y) join X) join X <-> X join Y
% Current number of equations to process: 2416
% Current number of ordered equations: 19
% Current number of rules: 105
% New rule produced : [107] ((X join Y) join X) join Y <-> X join Y
% Current number of equations to process: 2416
% Current number of ordered equations: 17
% Current number of rules: 106
% New rule produced : [108] ((X join Y) meet X) meet X <-> X join X
% Current number of equations to process: 2416
% Current number of ordered equations: 15
% Current number of rules: 107
% New rule produced : [109] ((Y join Y) meet X) join Y <-> Y join Y
% Current number of equations to process: 2416
% Current number of ordered equations: 13
% Current number of rules: 108
% New rule produced :
% [110] (eq)(X,(X meet X) meet ((X meet X) join Y)) -> (false)
% Current number of equations to process: 2416
% Current number of ordered equations: 12
% Current number of rules: 109
% New rule produced : [111] (Y join Z) meet X <-> (X meet Y) join (X meet Z)
% Current number of equations to process: 2305
% Current number of ordered equations: 119
% Current number of rules: 110
% New rule produced : [112] (X meet Y) join (X meet Z) <-> (Y join Z) meet X
% Current number of equations to process: 2305
% Current number of ordered equations: 118
% Current number of rules: 111
% New rule produced : [113] X meet Y <-> (X meet Y) meet X
% Current number of equations to process: 2305
% Current number of ordered equations: 114
% Current number of rules: 112
% New rule produced : [114] (X meet Y) meet X <-> X meet Y
% Current number of equations to process: 2305
% Current number of ordered equations: 110
% Current number of rules: 113
% New rule produced : [115] a meet (c meet b) <-> c meet (b meet a)
% Current number of equations to process: 2305
% Current number of ordered equations: 109
% Current number of rules: 114
% New rule produced : [116] c meet (b meet a) <-> a meet (c meet b)
% Current number of equations to process: 2305
% Current number of ordered equations: 108
% Current number of rules: 115
% New rule produced : [117] (X meet Y) meet X <-> (X meet Y) meet Y
% Current number of equations to process: 2305
% Current number of ordered equations: 106
% Current number of rules: 116
% New rule produced : [118] X <-> ((X meet Y) meet Y) join X
% Current number of equations to process: 2305
% Current number of ordered equations: 105
% Current number of rules: 117
% New rule produced : [119] ((X meet Y) meet Y) join X <-> X
% Current number of equations to process: 2305
% Current number of ordered equations: 104
% Current number of rules: 118
% New rule produced : [120] X <-> ((X meet X) meet Y) join X
% Current number of equations to process: 2305
% Current number of ordered equations: 103
% Current number of rules: 119
% New rule produced : [121] ((X meet X) meet Y) join X <-> X
% Current number of equations to process: 2305
% Current number of ordered equations: 102
% Current number of rules: 120
% New rule produced : [122] X <-> ((X join X) meet Y) join X
% Current number of equations to process: 2305
% Current number of ordered equations: 101
% Current number of rules: 121
% New rule produced : [123] ((X join X) meet Y) join X <-> X
% Current number of equations to process: 2305
% Current number of ordered equations: 100
% Current number of rules: 122
% New rule produced : [124] X meet X <-> (X meet X) join (X join X)
% Current number of equations to process: 2305
% Current number of ordered equations: 91
% Current number of rules: 123
% New rule produced : [125] (X meet X) join (X join X) <-> X meet X
% Current number of equations to process: 2305
% Current number of ordered equations: 82
% Current number of rules: 124
% New rule produced : [126] X meet Y <-> ((X meet Y) meet Y) meet X
% Current number of equations to process: 2305
% Current number of ordered equations: 81
% Current number of rules: 125
% New rule produced : [127] ((X meet Y) meet Y) meet X <-> X meet Y
% Current number of equations to process: 2305
% Current number of ordered equations: 80
% Current number of rules: 126
% New rule produced : [128] X join Y <-> ((X join Y) join Y) join X
% Current number of equations to process: 2305
% Current number of ordered equations: 77
% Current number of rules: 127
% New rule produced : [129] X join Y <-> ((X join Y) join Y) join Y
% Current number of equations to process: 2305
% Current number of ordered equations: 74
% Current number of rules: 128
% New rule produced : [130] ((X join Y) join Y) join X <-> X join Y
% Current number of equations to process: 2305
% Current number of ordered equations: 71
% Current number of rules: 129
% New rule produced : [131] ((X join Y) join Y) join Y <-> X join Y
% Current number of equations to process: 2305
% Current number of ordered equations: 68
% Current number of rules: 130
% New rule produced : [132] X meet Y <-> (X meet X) meet (X meet Y)
% Current number of equations to process: 2305
% Current number of ordered equations: 65
% Current number of rules: 131
% New rule produced : [133] (X meet X) meet (X meet Y) <-> X meet Y
% Current number of equations to process: 2305
% Current number of ordered equations: 62
% Current number of rules: 132
% New rule produced : [134] X meet X <-> ((X join X) join X) join X
% Current number of equations to process: 2305
% Current number of ordered equations: 53
% Current number of rules: 133
% New rule produced : [135] ((X join X) join X) join X <-> X meet X
% Current number of equations to process: 2305
% Current number of ordered equations: 44
% Current number of rules: 134
% New rule produced : [136] X meet X <-> ((X meet Y) meet Y) join X
% Current number of equations to process: 2305
% Current number of ordered equations: 43
% Current number of rules: 135
% New rule produced : [137] ((X meet Y) meet Y) join X <-> X meet X
% Current number of equations to process: 2305
% Current number of ordered equations: 42
% Current number of rules: 136
% New rule produced : [138] X join X <-> ((X meet Y) meet Y) join X
% Current number of equations to process: 2305
% Current number of ordered equations: 41
% Current number of rules: 137
% New rule produced : [139] ((X meet Y) meet Y) join X <-> X join X
% Current number of equations to process: 2305
% Current number of ordered equations: 40
% Current number of rules: 138
% New rule produced : [140] (X meet X) meet (X join X) <-> X join X
% Current number of equations to process: 2305
% Current number of ordered equations: 34
% Current number of rules: 139
% New rule produced : [141] X join X <-> (X meet X) meet (X join X)
% Current number of equations to process: 2305
% Current number of ordered equations: 28
% Current number of rules: 140
% New rule produced : [142] X meet X <-> (X meet Y) join (X join X)
% Rule [124] X meet X <-> (X meet X) join (X join X) collapsed.
% Current number of equations to process: 2305
% Current number of ordered equations: 26
% Current number of rules: 140
% New rule produced : [143] (X meet Y) join (X join X) <-> X meet X
% Rule [125] (X meet X) join (X join X) <-> X meet X collapsed.
% Current number of equations to process: 2305
% Current number of ordered equations: 24
% Current number of rules: 140
% New rule produced : [144] X join X <-> (X meet Y) join (X join X)
% Current number of equations to process: 2305
% Current number of ordered equations: 21
% Current number of rules: 141
% New rule produced : [145] (X meet Y) join (X join X) <-> X join X
% Current number of equations to process: 2305
% Current number of ordered equations: 18
% Current number of rules: 142
% New rule produced : [146] X meet Y <-> (X meet Y) meet (X join X)
% Current number of equations to process: 2305
% Current number of ordered equations: 15
% Current number of rules: 143
% New rule produced : [147] (X meet Y) meet (X join X) <-> X meet Y
% Current number of equations to process: 2305
% Current number of ordered equations: 12
% Current number of rules: 144
% New rule produced : [148] X join X <-> ((X meet X) meet Y) join X
% Current number of equations to process: 2305
% Current number of ordered equations: 10
% Current number of rules: 145
% New rule produced : [149] ((X meet X) meet Y) join X <-> X join X
% Current number of equations to process: 2305
% Current number of ordered equations: 8
% Current number of rules: 146
% New rule produced : [150] X meet X <-> ((X join X) meet Y) join X
% Current number of equations to process: 2305
% Current number of ordered equations: 6
% Current number of rules: 147
% New rule produced : [151] ((X join X) meet Y) join X <-> X meet X
% Current number of equations to process: 2305
% Current number of ordered equations: 4
% Current number of rules: 148
% New rule produced : [152] X meet X <-> (X meet X) meet (X join Y)
% Current number of equations to process: 2305
% Current number of ordered equations: 3
% Current number of rules: 149
% New rule produced : [153] (X meet X) meet (X join Y) <-> X meet X
% Current number of equations to process: 2305
% Current number of ordered equations: 2
% Current number of rules: 150
% New rule produced : [154] X join X <-> (X join X) meet (X join Y)
% Current number of equations to process: 2305
% Current number of ordered equations: 1
% Current number of rules: 151
% New rule produced : [155] (X join X) meet (X join Y) <-> X join X
% Current number of equations to process: 2305
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced : [156] (eq)(X,X meet X) -> (false)
% Current number of equations to process: 2335
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced : [157] (eq)(X,(X meet X) meet X) -> (false)
% Current number of equations to process: 2335
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced : [158] (eq)(X,(X meet X) meet (X join Y)) -> (false)
% Current number of equations to process: 2333
% Current number of ordered equations: 1
% Current number of rules: 155
% New rule produced : [159] (eq)(X,((X meet X) join Y) meet X) -> (false)
% Current number of equations to process: 2333
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced : [160] (eq)(X,(X meet X) meet (X meet X)) -> (false)
% Current number of equations to process: 2332
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced : [161] (eq)(X,(X meet X) join (X meet X)) -> (false)
% Current number of equations to process: 2342
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced : [162] (Y join Y) meet X <-> (X join X) meet Y
% Current number of equations to process: 2654
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced : [163] a <-> a join (c meet (b meet a))
% Current number of equations to process: 3098
% Current number of ordered equations: 1
% Current number of rules: 160
% New rule produced : [164] a join (c meet (b meet a)) <-> a
% Current number of equations to process: 3098
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced : [165] c <-> c join (a meet (c meet b))
% Current number of equations to process: 3239
% Current number of ordered equations: 1
% Current number of rules: 162
% New rule produced : [166] c join (a meet (c meet b)) <-> c
% Current number of equations to process: 3239
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced : [167] X meet Y <-> ((X meet Y) meet X) meet Y
% Current number of equations to process: 4551
% Current number of ordered equations: 1
% Current number of rules: 164
% New rule produced : [168] ((X meet Y) meet X) meet Y <-> X meet Y
% Current number of equations to process: 4551
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced : [169] X meet Y <-> ((X meet Y) meet X) meet X
% Current number of equations to process: 4549
% Current number of ordered equations: 1
% Current number of rules: 166
% New rule produced : [170] ((X meet Y) meet X) meet X <-> X meet Y
% Current number of equations to process: 4549
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced : [171] a meet a <-> a join (c meet (b meet a))
% Current number of equations to process: 4548
% Current number of ordered equations: 1
% Current number of rules: 168
% New rule produced : [172] a join (c meet (b meet a)) <-> a meet a
% Current number of equations to process: 4548
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced : [173] a join a <-> a join (c meet (b meet a))
% Current number of equations to process: 4547
% Current number of ordered equations: 1
% Current number of rules: 170
% New rule produced : [174] a join (c meet (b meet a)) <-> a join a
% Current number of equations to process: 4547
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced : [175] c meet c <-> c join (a meet (c meet b))
% Current number of equations to process: 4546
% Current number of ordered equations: 1
% Current number of rules: 172
% New rule produced : [176] c join (a meet (c meet b)) <-> c meet c
% Current number of equations to process: 4546
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced : [177] c join c <-> c join (a meet (c meet b))
% Current number of equations to process: 4545
% Current number of ordered equations: 1
% Current number of rules: 174
% New rule produced : [178] c join (a meet (c meet b)) <-> c join c
% Current number of equations to process: 4545
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced : [179] X <-> (X meet X) meet (X join Y)
% Rule [35] X <-> (X meet X) meet (X join X) collapsed.
% Current number of equations to process: 2358
% Current number of ordered equations: 1
% Current number of rules: 175
% New rule produced : [180] (X meet X) meet (X join Y) <-> X
% Rule [53] (X meet X) meet (X join X) <-> X collapsed.
% Current number of equations to process: 2358
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced : [181] (X meet X) meet (X join Y) <-> X join X
% Rule [140] (X meet X) meet (X join X) <-> X join X collapsed.
% Current number of equations to process: 2406
% Current number of ordered equations: 1
% Current number of rules: 175
% New rule produced : [182] X join X <-> (X meet X) meet (X join Y)
% Rule [141] X join X <-> (X meet X) meet (X join X) collapsed.
% Current number of equations to process: 2406
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced : [183] X meet X <-> (X join X) meet (X join Y)
% Rule [74] X meet X <-> (X join X) meet (X join X) collapsed.
% Current number of equations to process: 2566
% Current number of ordered equations: 1
% Current number of rules: 175
% New rule produced : [184] (X join X) meet (X join Y) <-> X meet X
% Rule [103] (X join X) meet (X join X) <-> X meet X collapsed.
% Current number of equations to process: 2566
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced : [185] X <-> (X join X) meet (X join Y)
% Rule [39] X <-> (X join X) meet (X join X) collapsed.
% Current number of equations to process: 2633
% Current number of ordered equations: 1
% Current number of rules: 175
% New rule produced : [186] (X join X) meet (X join Y) <-> X
% Rule [65] (X join X) meet (X join X) <-> X collapsed.
% Current number of equations to process: 2633
% Current number of ordered equations: 0
% Current number of rules: 175
% Rule [161] (eq)(X,(X meet X) join (X meet X)) -> (false) is composed into
% [161] (eq)(X,(X meet X) join (X meet X)) -> (true)
% Rule [160] (eq)(X,(X meet X) meet (X meet X)) -> (false) is composed into
% [160] (eq)(X,(X meet X) meet (X meet X)) -> (true)
% Rule [159] (eq)(X,((X meet X) join Y) meet X) -> (false) is composed into
% [159] (eq)(X,((X meet X) join Y) meet X) -> (true)
% Rule [158] (eq)(X,(X meet X) meet (X join Y)) -> (false) is composed into
% [158] (eq)(X,(X meet X) meet (X join Y)) -> (true)
% Rule [157] (eq)(X,(X meet X) meet X) -> (false) is composed into [157]
% (eq)(X,
% (X meet X) meet X)
% -> (true)
% Rule [156] (eq)(X,X meet X) -> (false) is composed into [156]
% (eq)(X,X meet X) ->
% (true)
% Rule [110] (eq)(X,(X meet X) meet ((X meet X) join Y)) -> (false) is composed into
% [110] (eq)(X,(X meet X) meet ((X meet X) join Y)) -> (true)
% New rule produced : [187] (false) -> (true)
% The conjecture has been reduced.
% Conjecture is now:
% Trivial
%
% Current number of equations to process: 2873
% Current number of ordered equations: 0
% Current number of rules: 176
% The current conjecture is true and the solution is the identity
% % SZS output start Refutation
%
% The following 5 rules have been used:
% [4]
% X meet X <-> X; trace = in the starting set
% [12] (X join Y) meet X <-> X; trace = in the starting set
% [110] (eq)(X,(X meet X) meet ((X meet X) join Y)) -> (false); trace = in the starting set
% [156] (eq)(X,X meet X) -> (false); trace = Cp of 110 and 12
% [187] (false) -> (true); trace = Cp of 156 and 4
% New rule produced :
% [188] (eq)(X,((X meet X) meet Y) join (X meet X)) -> (true)
% Current number of equations to process: 2704
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced : [189] (eq)(X,X join X) -> (true)
% Current number of equations to process: 2719
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced : [190] (eq)(X meet X,X) -> (true)
% Current number of equations to process: 2718
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced : [191] (eq)(X,(X join Y) meet X) -> (true)
% Current number of equations to process: 2883
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced : [192] (eq)(X,(X meet Y) join X) -> (true)
% Current number of equations to process: 2882
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced : [193] (eq)(X,(X join X) join X) -> (true)
% Current number of equations to process: 2881
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced : [194] (eq)(X meet X,X join X) -> (true)
% Current number of equations to process: 2880
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced : [195] (X meet X) meet Y <-> (Y join Y) meet X
% Current number of equations to process: 3290
% Current number of ordered equations: 1
% Current number of rules: 184
% New rule produced : [196] (Y join Y) meet X <-> (X meet X) meet Y
% Current number of equations to process: 3290
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced : [197] X meet Y <-> (X meet X) meet (Y join Y)
% Current number of equations to process: 3968
% Current number of ordered equations: 1
% Current number of rules: 186
% New rule produced : [198] (X meet X) meet (Y join Y) <-> X meet Y
% Current number of equations to process: 3968
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced : [199] X meet Y <-> (X join X) meet (Y join Y)
% Current number of equations to process: 3967
% Current number of ordered equations: 1
% Current number of rules: 188
% New rule produced : [200] (X join X) meet (Y join Y) <-> X meet Y
% Current number of equations to process: 3967
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced : [201] X meet X <-> ((X meet X) join Y) meet X
% Current number of equations to process: 4506
% Current number of ordered equations: 1
% Current number of rules: 190
% New rule produced : [202] ((X meet X) join Y) meet X <-> X meet X
% Current number of equations to process: 4506
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced : [203] (eq)(X join X,X meet X) -> (true)
% Current number of equations to process: 2358
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced : [204] (eq)(X join X,X) -> (true)
% Current number of equations to process: 2974
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced : [205] X join X <-> ((X join X) join Y) meet X
% Current number of equations to process: 3004
% Current number of ordered equations: 1
% Current number of rules: 194
% New rule produced : [206] ((X join X) join Y) meet X <-> X join X
% Current number of equations to process: 3004
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced : [207] (eq)((X join Y) meet X,X) -> (true)
% Current number of equations to process: 3288
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced : [208] (eq)((X meet Y) join X,X) -> (true)
% Current number of equations to process: 3287
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced : [209] (eq)((X join X) join X,X) -> (true)
% Current number of equations to process: 3286
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced : [210] (eq)((X meet X) meet X,X) -> (true)
% Current number of equations to process: 3285
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced : [211] (X meet X) meet Y <-> (Y meet Y) meet X
% Current number of equations to process: 4062
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced : [212] X meet Y <-> (X meet X) meet (Y meet Y)
% Current number of equations to process: 4362
% Current number of ordered equations: 1
% Current number of rules: 201
% New rule produced : [213] (X meet X) meet (Y meet Y) <-> X meet Y
% Current number of equations to process: 4362
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced : [214] X meet Y <-> (Y meet Y) meet (X join X)
% Current number of equations to process: 4361
% Current number of ordered equations: 1
% Current number of rules: 203
% New rule produced : [215] (Y meet Y) meet (X join X) <-> X meet Y
% Current number of equations to process: 4361
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced : [216] X <-> ((X meet X) join Y) meet X
% Current number of equations to process: 2817
% Current number of ordered equations: 1
% Current number of rules: 205
% New rule produced : [217] ((X meet X) join Y) meet X <-> X
% Current number of equations to process: 2817
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced : [218] X join X <-> ((X meet X) join Y) meet X
% Current number of equations to process: 2846
% Current number of ordered equations: 1
% Current number of rules: 207
% New rule produced : [219] ((X meet X) join Y) meet X <-> X join X
% Current number of equations to process: 2846
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced : [220] X meet X <-> ((X join X) join Y) meet X
% Current number of equations to process: 2994
% Current number of ordered equations: 1
% Current number of rules: 209
% New rule produced : [221] ((X join X) join Y) meet X <-> X meet X
% Current number of equations to process: 2994
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced : [222] X <-> ((X join X) join Y) meet X
% Current number of equations to process: 3226
% Current number of ordered equations: 1
% Current number of rules: 211
% New rule produced : [223] ((X join X) join Y) meet X <-> X
% Current number of equations to process: 3226
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced : [224] X <-> (X meet X) meet ((X meet X) join Y)
% Current number of equations to process: 3069
% Current number of ordered equations: 1
% Current number of rules: 213
% New rule produced : [225] (X meet X) meet ((X meet X) join Y) <-> X
% Current number of equations to process: 3069
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced : [226] X <-> ((X join X) join Y) meet (X join X)
% Current number of equations to process: 3784
% Current number of ordered equations: 1
% Current number of rules: 215
% New rule produced : [227] ((X join X) join Y) meet (X join X) <-> X
% Current number of equations to process: 3784
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced : [228] X <-> ((X meet X) meet Y) join (X meet X)
% Current number of equations to process: 4481
% Current number of ordered equations: 1
% Current number of rules: 217
% New rule produced : [229] ((X meet X) meet Y) join (X meet X) <-> X
% Current number of equations to process: 4481
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced : [230] X <-> ((X join X) meet Y) join (X join X)
% Current number of equations to process: 3490
% Current number of ordered equations: 1
% Current number of rules: 219
% New rule produced : [231] ((X join X) meet Y) join (X join X) <-> X
% Current number of equations to process: 3490
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced : [232] X <-> ((X join Y) meet (X join Y)) meet X
% Current number of equations to process: 4204
% Current number of ordered equations: 1
% Current number of rules: 221
% New rule produced : [233] ((X join Y) meet (X join Y)) meet X <-> X
% Current number of equations to process: 4204
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced : [234] X <-> ((X join Y) join (X join Y)) meet X
% Current number of equations to process: 4946
% Current number of ordered equations: 1
% Current number of rules: 223
% New rule produced : [235] ((X join Y) join (X join Y)) meet X <-> X
% Current number of equations to process: 4946
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced : [236] X <-> ((X meet X) meet (X meet X)) meet X
% Current number of equations to process: 2286
% Current number of ordered equations: 1
% Current number of rules: 225
% New rule produced : [237] ((X meet X) meet (X meet X)) meet X <-> X
% Current number of equations to process: 2286
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced : [238] X <-> ((X meet Y) meet (X meet Y)) join X
% Current number of equations to process: 2936
% Current number of ordered equations: 1
% Current number of rules: 227
% New rule produced : [239] ((X meet Y) meet (X meet Y)) join X <-> X
% Current number of equations to process: 2936
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced : [240] X <-> ((X meet Y) join (X meet Y)) join X
% Current number of equations to process: 3647
% Current number of ordered equations: 1
% Current number of rules: 229
% New rule produced : [241] ((X meet Y) join (X meet Y)) join X <-> X
% Current number of equations to process: 3647
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced : [242] X <-> ((X join X) join (X join X)) join X
% Current number of equations to process: 4406
% Current number of ordered equations: 1
% Current number of rules: 231
% New rule produced : [243] ((X join X) join (X join X)) join X <-> X
% Current number of equations to process: 4406
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced : [244] (X join Y) meet X <-> (X meet X) meet (X meet X)
% Current number of equations to process: 2136
% Current number of ordered equations: 1
% Current number of rules: 233
% New rule produced : [245] (X meet X) meet (X meet X) <-> (X join Y) meet X
% Current number of equations to process: 2136
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced : [246] (X join Y) meet X <-> (X meet X) join (X meet X)
% Current number of equations to process: 2598
% Current number of ordered equations: 1
% Current number of rules: 235
% New rule produced : [247] (X meet X) join (X meet X) <-> (X join Y) meet X
% Current number of equations to process: 2598
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced : [248] (X meet X) meet (X meet X) <-> (X meet Y) join X
% Current number of equations to process: 3051
% Current number of ordered equations: 1
% Current number of rules: 237
% New rule produced : [249] (X meet Y) join X <-> (X meet X) meet (X meet X)
% Current number of equations to process: 3051
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced : [250] (X meet X) join (X meet X) <-> (X meet Y) join X
% Current number of equations to process: 3534
% Current number of ordered equations: 1
% Current number of rules: 239
% New rule produced : [251] (X meet Y) join X <-> (X meet X) join (X meet X)
% Current number of equations to process: 3534
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced : [252] (X meet X) meet (X meet X) <-> (X join X) join X
% Current number of equations to process: 3989
% Current number of ordered equations: 1
% Current number of rules: 241
% New rule produced : [253] (X join X) join X <-> (X meet X) meet (X meet X)
% Current number of equations to process: 3989
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced : [254] (X meet X) join (X meet X) <-> (X join X) join X
% Current number of equations to process: 4359
% Current number of ordered equations: 1
% Current number of rules: 243
% New rule produced : [255] (X join X) join X <-> (X meet X) join (X meet X)
% Current number of equations to process: 4359
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced : [256] (X meet Y) meet Y <-> (X meet Y) meet (X meet Y)
% Current number of equations to process: 4703
% Current number of ordered equations: 1
% Current number of rules: 245
% New rule produced : [257] (X meet Y) meet (X meet Y) <-> (X meet Y) meet Y
% Current number of equations to process: 4703
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced : [258] (X meet Y) meet Y <-> (X meet Y) join (X meet Y)
% Current number of equations to process: 2619
% Current number of ordered equations: 1
% Current number of rules: 247
% New rule produced : [259] (X meet Y) join (X meet Y) <-> (X meet Y) meet Y
% Current number of equations to process: 2619
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced : [260] (X meet Y) meet X <-> (X join X) meet Y
% Current number of equations to process: 3055
% Current number of ordered equations: 3
% Current number of rules: 249
% New rule produced : [261] (X meet Y) meet Y <-> (X join X) meet Y
% Current number of equations to process: 3055
% Current number of ordered equations: 2
% Current number of rules: 250
% New rule produced : [262] (X join X) meet Y <-> (X meet Y) meet X
% Current number of equations to process: 3055
% Current number of ordered equations: 1
% Current number of rules: 251
% New rule produced : [263] (X join X) meet Y <-> (X meet Y) meet Y
% Current number of equations to process: 3055
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced : [264] (X meet X) meet Y <-> (X meet Y) meet X
% Current number of equations to process: 3894
% Current number of ordered equations: 1
% Current number of rules: 253
% New rule produced : [265] (X meet Y) meet X <-> (X meet X) meet Y
% Current number of equations to process: 3894
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced : [266] (X meet X) meet Y <-> (X meet Y) meet Y
% Current number of equations to process: 4048
% Current number of ordered equations: 1
% Current number of rules: 255
% New rule produced : [267] (X meet Y) meet Y <-> (X meet X) meet Y
% Current number of equations to process: 4048
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced : [268] X meet Y <-> ((X join X) meet Y) meet X
% Current number of equations to process: 2659
% Current number of ordered equations: 1
% Current number of rules: 257
% New rule produced : [269] ((X join X) meet Y) meet X <-> X meet Y
% Current number of equations to process: 2659
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced : [270] X meet Y <-> ((X join X) meet Y) meet Y
% Current number of equations to process: 2787
% Current number of ordered equations: 1
% Current number of rules: 259
% New rule produced : [271] ((X join X) meet Y) meet Y <-> X meet Y
% Current number of equations to process: 2787
% Current number of ordered equations: 0
% Current number of Cputime limit exceeded (core dumped)
%
% EOF
%------------------------------------------------------------------------------