TSTP Solution File: LAT038-1 by CiME---2.01

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : LAT038-1 : TPTP v6.0.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n082.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 00:26:10 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  : LAT038-1 : TPTP v6.0.0. Released v2.4.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n082.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 17:16:53 CDT 2014
% % CPUTime  : 300.09 
% Processing problem /tmp/CiME_38766_n082.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " join,meet : AC; cc,dd,bb,aa,n0 : constant;  f : 2;";
% let X = vars "X Y Z U V W";
% let Axioms = equations F X "
% X meet X = X;
% X join X = X;
% X meet (X join Y) = X;
% X join (X meet Y) = X;
% X join (Y meet Z) = (X join Y) meet (X join Z);
% X meet (Y join Z) = (X meet Y) join (X meet Z);
% f(U join V,W) = f(U,W) join f(V,W);
% f(n0,W) = n0;
% f(W,U join V) = f(W,U) join f(W,V);
% f(W,n0) = n0;
% f(aa join bb,dd) = f(cc join bb,dd);
% f(aa,dd) meet f(bb,dd) = f(cc,dd) meet f(bb,dd);
% ";
% 
% let s1 = status F "
% cc lr_lex;
% dd lr_lex;
% bb lr_lex;
% aa lr_lex;
% n0 lr_lex;
% f mul;
% join mul;
% meet mul;
% ";
% 
% let p1 = precedence F "
% f > meet > join > n0 > aa > bb > dd > cc";
% 
% let s2 = status F "
% cc mul;
% dd mul;
% bb mul;
% aa mul;
% n0 mul;
% f mul;
% join mul;
% meet mul;
% ";
% 
% let p2 = precedence F "
% f > meet > join > n0 = aa = bb = dd = cc";
% 
% let o_auto = AUTO Axioms;
% 
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 
% let Conjectures = equations F X " f(aa,dd) = f(cc,dd);"
% ;
% (*
% let Red_Axioms = normalize_equations Defining_rules Axioms;
% 
% let Red_Conjectures =  normalize_equations Defining_rules Conjectures;
% *)
% #time on;
% 
% let res = prove_conj_by_ordered_completion o Axioms Conjectures;
% 
% #time off;
% 
% 
% let status = if res then "unsatisfiable" else "satisfiable";
% #quit;
% Verbose level is now 1
% 
% F : signature = <signature>
% X : variable_set = <variable set>
% 
% Axioms : (F,X) equations = { X meet X = X,
% X join X = X,
% (X join Y) meet X = X,
% (X meet Y) join X = X,
% (Y meet Z) join X = (X join Y) meet (X join Z),
% (Y join Z) meet X = (X meet Y) join (X meet Z),
% f(U join V,W) = f(U,W) join f(V,W),
% f(n0,W) = n0,
% f(W,U join V) = f(W,U) join f(W,V),
% f(W,n0) = n0,
% f(bb join aa,dd) = f(cc join bb,dd),
% f(bb,dd) meet f(aa,dd) = f(cc,dd) meet f(bb,dd) }
% (12 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 = { f(aa,dd) = f(cc,dd) } (1 equation(s))
% time is now on
% 
% Initializing completion ...
% New rule produced : [1] X join X -> X
% Current number of equations to process: 0
% Current number of ordered equations: 11
% Current number of rules: 1
% New rule produced : [2] X meet X -> X
% Current number of equations to process: 0
% Current number of ordered equations: 10
% Current number of rules: 2
% New rule produced : [3] f(W,n0) -> n0
% Current number of equations to process: 0
% Current number of ordered equations: 9
% Current number of rules: 3
% New rule produced : [4] f(n0,W) -> n0
% Current number of equations to process: 0
% Current number of ordered equations: 8
% Current number of rules: 4
% New rule produced : [5] (X meet Y) join X -> X
% Current number of equations to process: 0
% Current number of ordered equations: 7
% Current number of rules: 5
% New rule produced : [6] (X join Y) meet X -> X
% Current number of equations to process: 0
% Current number of ordered equations: 6
% Current number of rules: 6
% New rule produced : [7] f(bb join aa,dd) -> f(cc join bb,dd)
% Current number of equations to process: 0
% Current number of ordered equations: 5
% Current number of rules: 7
% New rule produced : [8] (X join Y) meet (X join Z) -> (Y meet Z) join X
% Current number of equations to process: 0
% Current number of ordered equations: 4
% Current number of rules: 8
% New rule produced : [9] (Y join Z) meet X -> (X meet Y) join (X meet Z)
% Rule [6] (X join Y) meet X -> X collapsed.
% Rule [8] (X join Y) meet (X join Z) -> (Y meet Z) join X collapsed.
% Current number of equations to process: 0
% Current number of ordered equations: 3
% Current number of rules: 7
% New rule produced : [10] f(W,U join V) -> f(W,U) join f(W,V)
% Current number of equations to process: 0
% Current number of ordered equations: 2
% Current number of rules: 8
% New rule produced : [11] f(U join V,W) -> f(U,W) join f(V,W)
% Rule [7] f(bb join aa,dd) -> f(cc join bb,dd) collapsed.
% Current number of equations to process: 1
% Current number of ordered equations: 1
% Current number of rules: 8
% New rule produced : [12] f(bb,dd) join f(aa,dd) -> f(cc,dd) join f(bb,dd)
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 9
% New rule produced : [13] f(bb,dd) meet f(aa,dd) -> f(cc,dd) meet f(bb,dd)
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced : [14] f(X,Y meet Z) join f(X,Y) -> f(X,Y)
% Current number of equations to process: 27
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced : [15] n0 join f(X,n0 meet Y) -> n0
% Current number of equations to process: 30
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced : [16] (f(X,n0 meet Y) meet Z) join n0 -> n0
% Current number of equations to process: 65
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced : [17] n0 join f(X,f(Y,n0 meet Z)) -> n0
% Current number of equations to process: 76
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced : [18] n0 join f(f(X,n0 meet Y),Z) -> n0
% Current number of equations to process: 75
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced : [19] f(X meet Z,Y) join f(X,Y) -> f(X,Y)
% Current number of equations to process: 104
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced : [20] n0 join f(n0 meet X,Y) -> n0
% Current number of equations to process: 107
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced : [21] (f(n0 meet X,Y) meet Z) join n0 -> n0
% Current number of equations to process: 148
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced : [22] n0 join f(X,f(n0 meet Y,Z)) -> n0
% Current number of equations to process: 159
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced : [23] n0 join f(f(n0 meet X,Y),Z) -> n0
% Current number of equations to process: 158
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced : [24] n0 join f(X,f(Y,n0 meet Z) meet U) -> n0
% Current number of equations to process: 187
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced : [25] n0 join f(f(X,n0 meet Y) meet Z,U) -> n0
% Current number of equations to process: 200
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced : [26] (f(X,f(Y,n0 meet Z)) meet U) join n0 -> n0
% Current number of equations to process: 213
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced : [27] n0 join f(X,f(Y,f(Z,n0 meet U))) -> n0
% Current number of equations to process: 224
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced : [28] n0 join f(f(X,f(Y,n0 meet Z)),U) -> n0
% Current number of equations to process: 239
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced : [29] (f(f(X,n0 meet Y),Z) meet U) join n0 -> n0
% Current number of equations to process: 253
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced : [30] n0 join f(X,f(f(Y,n0 meet Z),U)) -> n0
% Current number of equations to process: 264
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced : [31] n0 join f(f(f(X,n0 meet Y),Z),U) -> n0
% Current number of equations to process: 279
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced : [32] n0 join f(X,f(n0 meet Y,Z) meet U) -> n0
% Current number of equations to process: 293
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced : [33] n0 join f(f(n0 meet X,Y) meet Z,U) -> n0
% Current number of equations to process: 306
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced : [34] (f(X,f(n0 meet Y,Z)) meet U) join n0 -> n0
% Current number of equations to process: 319
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced : [35] n0 join f(X,f(Y,f(n0 meet Z,U))) -> n0
% Current number of equations to process: 330
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced : [36] n0 join f(f(X,f(n0 meet Y,Z)),U) -> n0
% Current number of equations to process: 345
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced : [37] (f(f(n0 meet X,Y),Z) meet U) join n0 -> n0
% Current number of equations to process: 359
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced : [38] n0 join f(X,f(f(n0 meet Y,Z),U)) -> n0
% Current number of equations to process: 370
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced : [39] n0 join f(f(f(n0 meet X,Y),Z),U) -> n0
% Current number of equations to process: 385
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced : [40] (f(cc,dd) meet f(bb,dd)) join f(aa,dd) -> f(aa,dd)
% Current number of equations to process: 399
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced : [41] (f(X,Y meet Z) meet U) join f(X,Y) -> f(X,Y)
% Current number of equations to process: 412
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [42] (n0 meet X) join (f(Y,n0 meet Z) meet X) -> n0 meet X
% Current number of equations to process: 462
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced : [43] n0 meet f(X,n0 meet Y) -> f(X,n0 meet Y)
% Current number of equations to process: 468
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced : [44] (f(X meet Z,Y) meet U) join f(X,Y) -> f(X,Y)
% Current number of equations to process: 570
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced : [45] f(X meet Y,Z meet U) join f(X,Z) -> f(X,Z)
% Current number of equations to process: 623
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [46] (n0 meet X) join (f(n0 meet Y,Z) meet X) -> n0 meet X
% Current number of equations to process: 681
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced : [47] n0 meet f(n0 meet X,Y) -> f(n0 meet X,Y)
% Current number of equations to process: 687
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced : [48] n0 meet f(X,f(Y,n0 meet Z)) -> f(X,f(Y,n0 meet Z))
% Current number of equations to process: 816
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced : [49] n0 meet f(f(n0 meet X,Y),Z) -> f(f(n0 meet X,Y),Z)
% Current number of equations to process: 959
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced : [50] n0 meet f(f(X,n0 meet Y),Z) -> f(f(X,n0 meet Y),Z)
% Current number of equations to process: 1111
% Current number of ordered equations: 1
% Current number of rules: 47
% New rule produced : [51] n0 meet f(X,f(n0 meet Y,Z)) -> f(X,f(n0 meet Y,Z))
% Current number of equations to process: 1115
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced : [52] (f(X,f(Y,n0 meet Z) meet U) meet V) join n0 -> n0
% Current number of equations to process: 1446
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced : [53] n0 join f(X,f(Y,f(Z,n0 meet U) meet V)) -> n0
% Current number of equations to process: 1481
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced : [54] n0 join f(f(X,f(Y,n0 meet Z) meet U),V) -> n0
% Current number of equations to process: 1526
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced : [55] (f(f(X,n0 meet Y) meet Z,U) meet V) join n0 -> n0
% Current number of equations to process: 1571
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced : [56] n0 join f(X,f(f(Y,n0 meet Z) meet U,V)) -> n0
% Current number of equations to process: 1606
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced : [57] n0 join f(f(f(X,n0 meet Y) meet Z,U),V) -> n0
% Current number of equations to process: 1651
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced : [58] n0 join f(X,f(Y,f(Z,n0 meet U)) meet V) -> n0
% Current number of equations to process: 1696
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced : [59] n0 join f(f(X,f(Y,n0 meet Z)) meet U,V) -> n0
% Current number of equations to process: 1737
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced : [60] (f(X,f(Y,f(Z,n0 meet U))) meet V) join n0 -> n0
% Current number of equations to process: 1778
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced : [61] n0 join f(X,f(Y,f(Z,f(U,n0 meet V)))) -> n0
% Current number of equations to process: 1813
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced : [62] n0 join f(f(X,f(Y,f(Z,n0 meet U))),V) -> n0
% Current number of equations to process: 1858
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced : [63] (f(f(X,f(Y,n0 meet Z)),U) meet V) join n0 -> n0
% Current number of equations to process: 1902
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced : [64] n0 join f(X,f(f(Y,f(Z,n0 meet U)),V)) -> n0
% Current number of equations to process: 1937
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced : [65] n0 join f(f(f(X,f(Y,n0 meet Z)),U),V) -> n0
% Current number of equations to process: 1982
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced : [66] n0 join f(X,f(f(Y,n0 meet Z),U) meet V) -> n0
% Current number of equations to process: 2026
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced : [67] n0 join f(f(f(X,n0 meet Y),Z) meet U,V) -> n0
% Current number of equations to process: 2067
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced : [68] (f(X,f(f(Y,n0 meet Z),U)) meet V) join n0 -> n0
% Current number of equations to process: 2108
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced : [69] n0 join f(X,f(Y,f(f(Z,n0 meet U),V))) -> n0
% Current number of equations to process: 2143
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced : [70] n0 join f(f(X,f(f(Y,n0 meet Z),U)),V) -> n0
% Current number of equations to process: 2188
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced : [71] (f(f(f(X,n0 meet Y),Z),U) meet V) join n0 -> n0
% Current number of equations to process: 2232
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced : [72] n0 join f(X,f(f(f(Y,n0 meet Z),U),V)) -> n0
% Current number of equations to process: 2267
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced : [73] n0 join f(f(f(f(X,n0 meet Y),Z),U),V) -> n0
% Current number of equations to process: 2312
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced : [74] (f(X,f(n0 meet Y,Z) meet U) meet V) join n0 -> n0
% Current number of equations to process: 2356
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced : [75] n0 join f(X,f(Y,f(n0 meet Z,U) meet V)) -> n0
% Current number of equations to process: 2391
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced : [76] n0 join f(f(X,f(n0 meet Y,Z) meet U),V) -> n0
% Current number of equations to process: 2436
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced : [77] (f(f(n0 meet X,Y) meet Z,U) meet V) join n0 -> n0
% Current number of equations to process: 2481
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced : [78] n0 join f(X,f(f(n0 meet Y,Z) meet U,V)) -> n0
% Current number of equations to process: 2516
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced : [79] n0 join f(f(f(n0 meet X,Y) meet Z,U),V) -> n0
% Current number of equations to process: 2561
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced : [80] n0 join f(X,f(Y,f(n0 meet Z,U)) meet V) -> n0
% Current number of equations to process: 2606
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced : [81] n0 join f(f(X,f(n0 meet Y,Z)) meet U,V) -> n0
% Current number of equations to process: 2647
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced : [82] (f(X,f(Y,f(n0 meet Z,U))) meet V) join n0 -> n0
% Current number of equations to process: 2688
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced : [83] n0 join f(X,f(Y,f(Z,f(n0 meet U,V)))) -> n0
% Current number of equations to process: 2723
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced : [84] n0 join f(f(X,f(Y,f(n0 meet Z,U))),V) -> n0
% Current number of equations to process: 2768
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced : [85] (f(f(X,f(n0 meet Y,Z)),U) meet V) join n0 -> n0
% Current number of equations to process: 2812
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced : [86] n0 join f(X,f(f(Y,f(n0 meet Z,U)),V)) -> n0
% Current number of equations to process: 2847
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced : [87] n0 join f(f(f(X,f(n0 meet Y,Z)),U),V) -> n0
% Current number of equations to process: 2892
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced : [88] n0 join f(X,f(f(n0 meet Y,Z),U) meet V) -> n0
% Current number of equations to process: 2936
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced : [89] n0 join f(f(f(n0 meet X,Y),Z) meet U,V) -> n0
% Current number of equations to process: 2977
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced : [90] (f(X,f(f(n0 meet Y,Z),U)) meet V) join n0 -> n0
% Current number of equations to process: 3018
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced : [91] n0 join f(X,f(Y,f(f(n0 meet Z,U),V))) -> n0
% Current number of equations to process: 3053
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced : [92] n0 join f(f(X,f(f(n0 meet Y,Z),U)),V) -> n0
% Current number of equations to process: 3098
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced : [93] (f(f(f(n0 meet X,Y),Z),U) meet V) join n0 -> n0
% Current number of equations to process: 3142
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced : [94] n0 join f(X,f(f(f(n0 meet Y,Z),U),V)) -> n0
% Current number of equations to process: 3177
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced : [95] n0 join f(f(f(f(n0 meet X,Y),Z),U),V) -> n0
% Current number of equations to process: 3222
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [96] (f(cc,dd) meet f(bb,dd) meet X) join f(aa,dd) -> f(aa,dd)
% Current number of equations to process: 3185
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [97] (n0 meet X) join (f(Y,n0 meet Z) meet X meet U) -> n0 meet X
% Current number of equations to process: 3196
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [98] (n0 meet X) join (f(Y,f(Z,n0 meet U)) meet X) -> n0 meet X
% Current number of equations to process: 3232
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [99] (n0 meet X) join (f(f(Y,n0 meet Z),U) meet X) -> n0 meet X
% Current number of equations to process: 3262
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [100] (n0 meet X) join (f(n0 meet Y,Z) meet X meet U) -> n0 meet X
% Current number of equations to process: 3293
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [101] (n0 meet X) join (f(Y,f(n0 meet Z,U)) meet X) -> n0 meet X
% Current number of equations to process: 3329
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [102] (n0 meet X) join (f(f(n0 meet Y,Z),U) meet X) -> n0 meet X
% Current number of equations to process: 3359
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced : [103] (f(X meet Y,Z meet U) meet V) join f(X,Z) -> f(X,Z)
% Current number of equations to process: 3389
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [104] (f(X,Y meet U) meet Z) join (f(X,Y) meet Z) -> f(X,Y) meet Z
% Current number of equations to process: 3531
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced : [105] f(X,Y meet Z) meet f(X,Y) -> f(X,Y meet Z)
% Current number of equations to process: 3546
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [106] (n0 meet f(X,Y)) join f(X,n0 meet Y) -> n0 meet f(X,Y)
% Current number of equations to process: 3589
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [107] (f(cc,dd) meet f(bb,dd meet X)) join f(aa,dd) -> f(aa,dd)
% Current number of equations to process: 3623
% Current number of ordered equations: 1
% Current number of rules: 104
% New rule produced :
% [108] (f(cc,dd meet X) meet f(bb,dd)) join f(aa,dd) -> f(aa,dd)
% Current number of equations to process: 3623
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [109] f(bb,dd meet X) meet f(aa,dd) -> f(cc,dd) meet f(bb,dd meet X)
% Current number of equations to process: 3908
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced : [110] f(X,f(Y,Z meet U)) join f(X,f(Y,Z)) -> f(X,f(Y,Z))
% Current number of equations to process: 4075
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced : [111] f(f(X,Y meet U),Z) join f(f(X,Y),Z) -> f(f(X,Y),Z)
% Current number of equations to process: 4158
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [112] (f(X meet U,Y) meet Z) join (f(X,Y) meet Z) -> f(X,Y) meet Z
% Current number of equations to process: 4244
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced : [113] f(X meet Y,Z) meet f(X,Z) -> f(X meet Y,Z)
% Current number of equations to process: 4259
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [114] (n0 meet f(X,Y)) join f(n0 meet X,Y) -> n0 meet f(X,Y)
% Current number of equations to process: 4312
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [115] (f(bb meet X,dd) meet f(cc,dd)) join f(aa,dd) -> f(aa,dd)
% Current number of equations to process: 4336
% Current number of ordered equations: 1
% Current number of rules: 112
% New rule produced :
% [116] (f(cc meet X,dd) meet f(bb,dd)) join f(aa,dd) -> f(aa,dd)
% Current number of equations to process: 4336
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [117] f(X meet Y,Z meet U) meet f(X,Z) -> f(X meet Y,Z meet U)
% Current number of equations to process: 4411
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [118] f(bb meet X,dd) meet f(aa,dd) -> f(bb meet X,dd) meet f(cc,dd)
% Current number of equations to process: 4733
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced : [119] f(cc meet bb,dd) join f(aa,dd) -> f(aa,dd)
% Current number of equations to process: 4764
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced : [120] f(cc meet bb meet X,dd) join f(aa,dd) -> f(aa,dd)
% Current number of equations to process: 4763
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced : [121] f(bb meet aa,dd) meet f(cc,dd) -> f(bb meet aa,dd)
% Current number of equations to process: 1602
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced : [122] (f(cc meet bb,dd) meet X) join f(aa,dd) -> f(aa,dd)
% Current number of equations to process: 1645
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced : [123] f(cc meet bb,dd meet X) join f(aa,dd) -> f(aa,dd)
% Current number of equations to process: 1644
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced : [124] f(bb meet aa,dd) join f(cc,dd) -> f(cc,dd)
% Current number of equations to process: 1672
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced : [125] (f(bb meet aa,dd) meet X) join f(cc,dd) -> f(cc,dd)
% Current number of equations to process: 1719
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced : [126] f(bb meet aa,dd meet X) join f(cc,dd) -> f(cc,dd)
% Current number of equations to process: 1901
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced : [127] f(bb meet aa meet X,dd) join f(cc,dd) -> f(cc,dd)
% Current number of equations to process: 1900
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [128] f(bb meet aa meet X,dd) meet f(cc,dd) -> f(bb meet aa meet X,dd)
% Current number of equations to process: 1967
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [129] (f(cc meet bb,dd meet X) meet Y) join f(aa,dd) -> f(aa,dd)
% Current number of equations to process: 2068
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [130] (f(cc meet bb meet X,dd) meet Y) join f(aa,dd) -> f(aa,dd)
% Current number of equations to process: 2067
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [131] f(cc meet bb meet X,dd meet Y) join f(aa,dd) -> f(aa,dd)
% Current number of equations to process: 2066
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [132] f(bb meet aa,dd meet X) meet f(cc,dd) -> f(bb meet aa,dd meet X)
% Current number of equations to process: 2063
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [133] (f(bb meet aa,dd meet X) meet Y) join f(cc,dd) -> f(cc,dd)
% Current number of equations to process: 2056
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [134] (f(bb meet aa meet X,dd) meet Y) join f(cc,dd) -> f(cc,dd)
% Current number of equations to process: 2055
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [135] f(bb meet aa meet X,dd meet Y) join f(cc,dd) -> f(cc,dd)
% Current number of equations to process: 2054
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced : [136] f(X,f(Y meet U,Z)) join f(X,f(Y,Z)) -> f(X,f(Y,Z))
% Current number of equations to process: 2437
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced : [137] f(f(X meet U,Y),Z) join f(f(X,Y),Z) -> f(f(X,Y),Z)
% Current number of equations to process: 2578
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [138] (f(X,f(Y,f(Z,n0 meet U)) meet V) meet W) join n0 -> n0
% Current number of equations to process: 2717
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [139] (f(X,f(f(Y,n0 meet Z),U) meet V) meet W) join n0 -> n0
% Current number of equations to process: 2759
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [140] (f(X,f(Y,f(n0 meet Z,U)) meet V) meet W) join n0 -> n0
% Current number of equations to process: 2799
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [141] (f(X,f(f(n0 meet Y,Z),U) meet V) meet W) join n0 -> n0
% Current number of equations to process: 2841
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [142] n0 meet f(X,f(Y,n0 meet Z) meet U) -> f(X,f(Y,n0 meet Z) meet U)
% Current number of equations to process: 2881
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [143] n0 join f(X,f(Y,f(Z,n0 meet U) meet V) meet W) -> n0
% Current number of equations to process: 3361
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [144] n0 join f(f(X,f(Y,n0 meet Z) meet U) meet V,W) -> n0
% Current number of equations to process: 3410
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [145] (f(X,f(Y,f(Z,n0 meet U) meet V)) meet W) join n0 -> n0
% Current number of equations to process: 3459
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced : [146] n0 join f(X,f(Y,f(Z,f(U,n0 meet V) meet W))) -> n0
% Current number of equations to process: 3505
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced : [147] n0 join f(f(X,f(Y,f(Z,n0 meet U) meet V)),W) -> n0
% Current number of equations to process: 3560
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [148] (f(f(X,f(Y,n0 meet Z) meet U),V) meet W) join n0 -> n0
% Current number of equations to process: 3615
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced : [149] n0 join f(X,f(f(Y,f(Z,n0 meet U) meet V),W)) -> n0
% Current number of equations to process: 3661
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced : [150] n0 join f(f(f(X,f(Y,n0 meet Z) meet U),V),W) -> n0
% Current number of equations to process: 3716
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [151] n0 join f(X,f(f(Y,n0 meet Z) meet U,V) meet W) -> n0
% Current number of equations to process: 3771
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [152] n0 join f(f(f(X,n0 meet Y) meet Z,U) meet V,W) -> n0
% Current number of equations to process: 3820
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [153] (f(X,f(f(Y,n0 meet Z) meet U,V)) meet W) join n0 -> n0
% Current number of equations to process: 3869
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced : [154] n0 join f(X,f(Y,f(f(Z,n0 meet U) meet V,W))) -> n0
% Current number of equations to process: 3915
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced : [155] n0 join f(f(X,f(f(Y,n0 meet Z) meet U,V)),W) -> n0
% Current number of equations to process: 3970
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [156] (f(f(f(X,n0 meet Y) meet Z,U),V) meet W) join n0 -> n0
% Current number of equations to process: 4025
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced : [157] n0 join f(X,f(f(f(Y,n0 meet Z) meet U,V),W)) -> n0
% Current number of equations to process: 4071
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced : [158] n0 join f(f(f(f(X,n0 meet Y) meet Z,U),V),W) -> n0
% Current number of equations to process: 4126
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [159] (f(f(X,f(Y,n0 meet Z)) meet U,V) meet W) join n0 -> n0
% Current number of equations to process: 4178
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [160] (f(f(f(X,n0 meet Y),Z) meet U,V) meet W) join n0 -> n0
% Current number of equations to process: 4220
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [161] (f(f(X,f(n0 meet Y,Z)) meet U,V) meet W) join n0 -> n0
% Current number of equations to process: 4259
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [162] (f(f(f(n0 meet X,Y),Z) meet U,V) meet W) join n0 -> n0
% Current number of equations to process: 4305
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [163] n0 meet f(f(n0 meet X,Y) meet Z,U) -> f(f(n0 meet X,Y) meet Z,U)
% Current number of equations to process: 4342
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [164] n0 join f(X,f(Y,f(n0 meet Z,U) meet V) meet W) -> n0
% Current number of equations to process: 4909
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [165] n0 join f(f(X,f(n0 meet Y,Z) meet U) meet V,W) -> n0
% Current number of equations to process: 4962
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [166] (f(X,f(Y,f(n0 meet Z,U) meet V)) meet W) join n0 -> n0
% Current number of equations to process: 2069
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced : [167] n0 join f(X,f(Y,f(Z,f(n0 meet U,V) meet W))) -> n0
% Current number of equations to process: 2119
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced : [168] n0 join f(f(X,f(Y,f(n0 meet Z,U) meet V)),W) -> n0
% Current number of equations to process: 2178
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [169] (f(f(X,f(n0 meet Y,Z) meet U),V) meet W) join n0 -> n0
% Current number of equations to process: 2237
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced : [170] n0 join f(X,f(f(Y,f(n0 meet Z,U) meet V),W)) -> n0
% Current number of equations to process: 2287
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced : [171] n0 join f(f(f(X,f(n0 meet Y,Z) meet U),V),W) -> n0
% Current number of equations to process: 2346
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [172] n0 join f(X,f(f(n0 meet Y,Z) meet U,V) meet W) -> n0
% Current number of equations to process: 2405
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [173] n0 join f(f(f(n0 meet X,Y) meet Z,U) meet V,W) -> n0
% Current number of equations to process: 2458
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [174] (f(X,f(f(n0 meet Y,Z) meet U,V)) meet W) join n0 -> n0
% Current number of equations to process: 2511
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced : [175] n0 join f(X,f(Y,f(f(n0 meet Z,U) meet V,W))) -> n0
% Current number of equations to process: 2561
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced : [176] n0 join f(f(X,f(f(n0 meet Y,Z) meet U,V)),W) -> n0
% Current number of equations to process: 2619
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [177] (f(f(f(n0 meet X,Y) meet Z,U),V) meet W) join n0 -> n0
% Current number of equations to process: 2678
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced : [178] n0 join f(X,f(f(f(n0 meet Y,Z) meet U,V),W)) -> n0
% Current number of equations to process: 2728
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced : [179] n0 join f(f(f(f(n0 meet X,Y) meet Z,U),V),W) -> n0
% Current number of equations to process: 2787
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [180] n0 meet f(f(X,n0 meet Y) meet Z,U) -> f(f(X,n0 meet Y) meet Z,U)
% Current number of equations to process: 2843
% Current number of ordered equations: 1
% Current number of rules: 177
% New rule produced :
% [181] n0 meet f(X,f(n0 meet Y,Z) meet U) -> f(X,f(n0 meet Y,Z) meet U)
% Current number of equations to process: 2847
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced : [182] n0 join f(X,f(Y,f(Z,f(U,n0 meet V)) meet W)) -> n0
% Current number of equations to process: 4163
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced : [183] n0 join f(f(X,f(Y,f(Z,n0 meet U)) meet V),W) -> n0
% Current number of equations to process: 4230
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced : [184] n0 join f(X,f(f(Y,f(Z,n0 meet U)) meet V,W)) -> n0
% Current number of equations to process: 4296
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced : [185] n0 join f(f(f(X,f(Y,n0 meet Z)) meet U,V),W) -> n0
% Current number of equations to process: 4363
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced : [186] n0 join f(X,f(Y,f(Z,f(U,n0 meet V))) meet W) -> n0
% Current number of equations to process: 4430
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced : [187] n0 join f(f(X,f(Y,f(Z,n0 meet U))) meet V,W) -> n0
% Current number of equations to process: 4493
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [188] (f(X,f(Y,f(Z,f(U,n0 meet V)))) meet W) join n0 -> n0
% Current number of equations to process: 4556
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced : [189] n0 join f(X,f(Y,f(Z,f(U,f(V,n0 meet W))))) -> n0
% Current number of equations to process: 4612
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced : [190] n0 join f(f(X,f(Y,f(Z,f(U,n0 meet V)))),W) -> n0
% Current number of equations to process: 4677
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [191] (f(f(X,f(Y,f(Z,n0 meet U))),V) meet W) join n0 -> n0
% Current number of equations to process: 4742
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced : [192] n0 join f(X,f(f(Y,f(Z,f(U,n0 meet V))),W)) -> n0
% Current number of equations to process: 4798
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced : [193] n0 join f(f(f(X,f(Y,f(Z,n0 meet U))),V),W) -> n0
% Current number of equations to process: 4863
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced : [194] n0 join f(X,f(f(Y,f(Z,n0 meet U)),V) meet W) -> n0
% Current number of equations to process: 4928
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced : [195] n0 join f(f(f(X,f(Y,n0 meet Z)),U) meet V,W) -> n0
% Current number of equations to process: 4991
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [196] (f(X,f(f(Y,f(Z,n0 meet U)),V)) meet W) join n0 -> n0
% Current number of equations to process: 1779
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced : [197] n0 join f(X,f(Y,f(f(Z,f(U,n0 meet V)),W))) -> n0
% Current number of equations to process: 1835
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced : [198] n0 join f(f(X,f(f(Y,f(Z,n0 meet U)),V)),W) -> n0
% Current number of equations to process: 1900
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [199] (f(f(f(X,f(Y,n0 meet Z)),U),V) meet W) join n0 -> n0
% Current number of equations to process: 1965
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced : [200] n0 join f(X,f(f(f(Y,f(Z,n0 meet U)),V),W)) -> n0
% Current number of equations to process: 2021
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced : [201] n0 join f(f(f(f(X,f(Y,n0 meet Z)),U),V),W) -> n0
% Current number of equations to process: 2086
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [202] n0 meet f(X,f(Y,f(Z,n0 meet U))) -> f(X,f(Y,f(Z,n0 meet U)))
% Current number of equations to process: 2151
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [203] n0 meet f(f(X,f(Y,n0 meet Z)),U) -> f(f(X,f(Y,n0 meet Z)),U)
% Current number of equations to process: 2843
% Current number of ordered equations: 1
% Current number of rules: 200
% New rule produced :
% [204] n0 meet f(X,f(Y,f(n0 meet Z,U))) -> f(X,f(Y,f(n0 meet Z,U)))
% Current number of equations to process: 2847
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced : [205] n0 join f(X,f(Y,f(f(n0 meet Z,U),V) meet W)) -> n0
% Current number of equations to process: 4277
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced : [206] n0 join f(f(X,f(f(n0 meet Y,Z),U) meet V),W) -> n0
% Current number of equations to process: 4356
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced : [207] n0 join f(X,f(f(f(n0 meet Y,Z),U) meet V,W)) -> n0
% Current number of equations to process: 4434
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced : [208] n0 join f(f(f(f(n0 meet X,Y),Z) meet U,V),W) -> n0
% Current number of equations to process: 4513
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced : [209] n0 join f(X,f(Y,f(f(n0 meet Z,U),V)) meet W) -> n0
% Current number of equations to process: 4592
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced : [210] n0 join f(f(X,f(f(n0 meet Y,Z),U)) meet V,W) -> n0
% Current number of equations to process: 4667
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [211] (f(X,f(Y,f(f(n0 meet Z,U),V))) meet W) join n0 -> n0
% Current number of equations to process: 4742
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced : [212] n0 join f(X,f(Y,f(Z,f(f(n0 meet U,V),W)))) -> n0
% Current number of equations to process: 4810
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced : [213] n0 join f(f(X,f(Y,f(f(n0 meet Z,U),V))),W) -> n0
% Current number of equations to process: 4887
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [214] (f(f(X,f(f(n0 meet Y,Z),U)),V) meet W) join n0 -> n0
% Current number of equations to process: 4964
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced : [215] n0 join f(X,f(f(Y,f(f(n0 meet Z,U),V)),W)) -> n0
% Current number of equations to process: 2468
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced : [216] n0 join f(f(f(X,f(f(n0 meet Y,Z),U)),V),W) -> n0
% Current number of equations to process: 2545
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced : [217] n0 join f(X,f(f(f(n0 meet Y,Z),U),V) meet W) -> n0
% Current number of equations to process: 2621
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced : [218] n0 join f(f(f(f(n0 meet X,Y),Z),U) meet V,W) -> n0
% Current number of equations to process: 2696
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [219] (f(X,f(f(f(n0 meet Y,Z),U),V)) meet W) join n0 -> n0
% Current number of equations to process: 2771
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced : [220] n0 join f(X,f(Y,f(f(f(n0 meet Z,U),V),W))) -> n0
% Current number of equations to process: 2839
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced : [221] n0 join f(f(X,f(f(f(n0 meet Y,Z),U),V)),W) -> n0
% Current number of equations to process: 2916
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [222] (f(f(f(f(n0 meet X,Y),Z),U),V) meet W) join n0 -> n0
% Current number of equations to process: 2993
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced : [223] n0 join f(X,f(f(f(f(n0 meet Y,Z),U),V),W)) -> n0
% Current number of equations to process: 3061
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced : [224] n0 join f(f(f(f(f(n0 meet X,Y),Z),U),V),W) -> n0
% Current number of equations to process: 3138
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced :
% [225] n0 meet f(f(f(X,n0 meet Y),Z),U) -> f(f(f(X,n0 meet Y),Z),U)
% Current number of equations to process: 3214
% Current number of ordered equations: 1
% Current number of rules: 222
% New rule produced :
% [226] n0 meet f(X,f(f(n0 meet Y,Z),U)) -> f(X,f(f(n0 meet Y,Z),U))
% Current number of equations to process: 3218
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced :
% [227] n0 meet f(f(f(n0 meet X,Y),Z),U) -> f(f(f(n0 meet X,Y),Z),U)
% Current number of equations to process: 4841
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced : [228] n0 join f(X,f(Y,f(f(Z,n0 meet U),V) meet W)) -> n0
% Current number of equations to process: 2738
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced : [229] n0 join f(f(X,f(f(Y,n0 meet Z),U) meet V),W) -> n0
% Current number of equations to process: 2829
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced : [230] n0 join f(X,f(f(f(Y,n0 meet Z),U) meet V,W)) -> n0
% Current number of equations to process: 2919
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced : [231] n0 join f(f(f(f(X,n0 meet Y),Z) meet U,V),W) -> n0
% Current number of equations to process: 3010
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced : [232] n0 join f(X,f(Y,f(f(Z,n0 meet U),V)) meet W) -> n0
% Current number of equations to process: 3101
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced : [233] n0 join f(f(X,f(f(Y,n0 meet Z),U)) meet V,W) -> n0
% Current number of equations to process: 3188
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced :
% [234] (f(X,f(Y,f(f(Z,n0 meet U),V))) meet W) join n0 -> n0
% Current number of equations to process: 3275
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced : [235] n0 join f(X,f(Y,f(Z,f(f(U,n0 meet V),W)))) -> n0
% Current number of equations to process: 3355
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced : [236] n0 join f(f(X,f(Y,f(f(Z,n0 meet U),V))),W) -> n0
% Current number of equations to process: 3444
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced :
% [237] (f(f(X,f(f(Y,n0 meet Z),U)),V) meet W) join n0 -> n0
% Current number of equations to process: 3533
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced : [238] n0 join f(X,f(f(Y,f(f(Z,n0 meet U),V)),W)) -> n0
% Current number of equations to process: 3613
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced : [239] n0 join f(f(f(X,f(f(Y,n0 meet Z),U)),V),W) -> n0
% Current number of equations to process: 3702
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced : [240] n0 join f(X,f(f(f(Y,n0 meet Z),U),V) meet W) -> n0
% Current number of equations to process: 3791
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced : [241] n0 join f(f(f(f(X,n0 meet Y),Z),U) meet V,W) -> n0
% Current number of equations to process: 3878
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced :
% [242] (f(X,f(f(f(Y,n0 meet Z),U),V)) meet W) join n0 -> n0
% Current number of equations to process: 3965
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced : [243] n0 join f(X,f(Y,f(f(f(Z,n0 meet U),V),W))) -> n0
% Current number of equations to process: 4045
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced : [244] n0 join f(f(X,f(f(f(Y,n0 meet Z),U),V)),W) -> n0
% Current number of equations to process: 4134
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced :
% [245] (f(f(f(f(X,n0 meet Y),Z),U),V) meet W) join n0 -> n0
% Current number of equations to process: 4223
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced : [246] n0 join f(X,f(f(f(f(Y,n0 meet Z),U),V),W)) -> n0
% Current number of equations to process: 4303
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced : [247] n0 join f(f(f(f(f(X,n0 meet Y),Z),U),V),W) -> n0
% Current number of equations to process: 4392
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [248] n0 meet f(X,f(f(Y,n0 meet Z),U)) -> f(X,f(f(Y,n0 meet Z),U))
% Current number of equations to process: 4480
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [249] n0 meet f(f(X,f(n0 meet Y,Z)),U) -> f(f(X,f(n0 meet Y,Z)),U)
% Current number of equations to process: 3554
% Cputime limit exceeded (core dumped)
% 
% EOF
%------------------------------------------------------------------------------