TSTP Solution File: LAT222-10 by CiME---2.01
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%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : LAT222-10 : TPTP v7.3.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n185.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32218.5MB
% OS : Linux 3.10.0-862.11.6.el7.x86_64
% CPULimit : 300s
% DateTime : Wed Feb 27 13:10:06 EST 2019
% Result : Timeout 300.08s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LAT222-10 : TPTP v7.3.0. Released v7.3.0.
% 0.00/0.04 % Command : tptp2X_and_run_cime %s
% 0.03/0.27 % Computer : n185.star.cs.uiowa.edu
% 0.03/0.27 % Model : x86_64 x86_64
% 0.03/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.27 % Memory : 32218.5MB
% 0.03/0.27 % OS : Linux 3.10.0-862.11.6.el7.x86_64
% 0.03/0.27 % CPULimit : 300
% 0.03/0.27 % DateTime : Thu Feb 21 10:02:55 CST 2019
% 0.03/0.27 % CPUTime :
% 1.14/1.42 Processing problem /tmp/CiME_45760_n185.star.cs.uiowa.edu
% 1.14/1.42 #verbose 1;
% 1.14/1.42 let F = signature " join,meet : AC; a,b,zero,one : constant; complement : 1; ifeq : 4;";
% 1.14/1.42 let X = vars "A B C X Y Z";
% 1.14/1.42 let Axioms = equations F X "
% 1.14/1.42 ifeq(A,A,B,C) = B;
% 1.14/1.42 X meet X = X;
% 1.14/1.42 X join X = X;
% 1.14/1.42 X meet (X join Y) = X;
% 1.14/1.42 X join (X meet Y) = X;
% 1.14/1.42 X join complement(X) = one;
% 1.14/1.42 X meet complement(X) = zero;
% 1.14/1.42 ifeq(X join Y,one,ifeq(X meet Y,zero,complement(X),Y),Y) = Y;
% 1.14/1.42 X meet (Y join (X meet Z)) = X meet ((X meet (Y join (X meet Z))) join (Z meet (X join Y)));
% 1.14/1.42 b meet a = a;
% 1.14/1.42 ";
% 1.14/1.42
% 1.14/1.42 let s1 = status F "
% 1.14/1.42 a lr_lex;
% 1.14/1.42 b lr_lex;
% 1.14/1.42 zero lr_lex;
% 1.14/1.42 one lr_lex;
% 1.14/1.42 complement lr_lex;
% 1.14/1.42 ifeq lr_lex;
% 1.14/1.42 join mul;
% 1.14/1.42 meet mul;
% 1.14/1.42 ";
% 1.14/1.42
% 1.14/1.42 let p1 = precedence F "
% 1.14/1.42 ifeq > complement > meet > join > one > zero > b > a";
% 1.14/1.42
% 1.14/1.42 let s2 = status F "
% 1.14/1.42 a mul;
% 1.14/1.42 b mul;
% 1.14/1.42 zero mul;
% 1.14/1.42 one mul;
% 1.14/1.42 complement mul;
% 1.14/1.42 join mul;
% 1.14/1.42 meet mul;
% 1.14/1.42 ifeq mul;
% 1.14/1.42 ";
% 1.14/1.42
% 1.14/1.42 let p2 = precedence F "
% 1.14/1.42 ifeq > complement > meet > join > one = zero = b = a";
% 1.14/1.42
% 1.14/1.42 let o_auto = AUTO Axioms;
% 1.14/1.42
% 1.14/1.42 let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 1.14/1.42
% 1.14/1.42 let Conjectures = equations F X " complement(b) join complement(a) = complement(a);"
% 1.14/1.42 ;
% 1.14/1.42 (*
% 1.14/1.42 let Red_Axioms = normalize_equations Defining_rules Axioms;
% 1.14/1.42
% 1.14/1.42 let Red_Conjectures = normalize_equations Defining_rules Conjectures;
% 1.14/1.42 *)
% 1.14/1.42 #time on;
% 1.14/1.42
% 1.14/1.42 let res = prove_conj_by_ordered_completion o Axioms Conjectures;
% 1.14/1.42
% 1.14/1.42 #time off;
% 1.14/1.42
% 1.14/1.42
% 1.14/1.42 let status = if res then "unsatisfiable" else "satisfiable";
% 1.14/1.42 #quit;
% 1.14/1.42 Verbose level is now 1
% 1.14/1.42
% 1.14/1.42 F : signature = <signature>
% 1.14/1.42 X : variable_set = <variable set>
% 1.14/1.42
% 1.14/1.42 Axioms : (F,X) equations = { ifeq(A,A,B,C) = B,
% 1.14/1.42 X meet X = X,
% 1.14/1.42 X join X = X,
% 1.14/1.42 (X join Y) meet X = X,
% 1.14/1.42 (X meet Y) join X = X,
% 1.14/1.42 complement(X) join X = one,
% 1.14/1.42 complement(X) meet X = zero,
% 1.14/1.42 ifeq(X join Y,one,ifeq(X meet Y,zero,complement(X),Y),Y)
% 1.14/1.42 = Y,
% 1.14/1.42 ((X meet Z) join Y) meet X =
% 1.14/1.42 ((((X meet Z) join Y) meet X) join ((X join Y) meet Z)) meet X,
% 1.14/1.42 a meet b = a } (10 equation(s))
% 1.14/1.42 s1 : F status = <status>
% 1.14/1.42 p1 : F precedence = <precedence>
% 1.14/1.42 s2 : F status = <status>
% 1.14/1.42 p2 : F precedence = <precedence>
% 1.14/1.42 o_auto : F term_ordering = <term ordering>
% 1.14/1.42 o : F term_ordering = <term ordering>
% 1.14/1.42 Conjectures : (F,X) equations = { complement(a) join complement(b) =
% 1.14/1.42 complement(a) } (1 equation(s))
% 1.14/1.42 time is now on
% 1.14/1.42
% 1.14/1.42 Initializing completion ...
% 1.14/1.42 New rule produced : [1] X join X -> X
% 1.14/1.42 Current number of equations to process: 0
% 1.14/1.42 Current number of ordered equations: 9
% 1.14/1.42 Current number of rules: 1
% 1.14/1.42 New rule produced : [2] X meet X -> X
% 1.14/1.42 Current number of equations to process: 0
% 1.14/1.42 Current number of ordered equations: 8
% 1.14/1.42 Current number of rules: 2
% 1.14/1.42 New rule produced : [3] a meet b -> a
% 1.14/1.42 Current number of equations to process: 0
% 1.14/1.42 Current number of ordered equations: 7
% 1.14/1.42 Current number of rules: 3
% 1.14/1.42 New rule produced : [4] complement(X) join X -> one
% 1.14/1.42 Current number of equations to process: 0
% 1.14/1.42 Current number of ordered equations: 6
% 1.14/1.42 Current number of rules: 4
% 1.14/1.42 New rule produced : [5] complement(X) meet X -> zero
% 1.14/1.42 Current number of equations to process: 0
% 1.14/1.42 Current number of ordered equations: 5
% 1.14/1.42 Current number of rules: 5
% 1.14/1.42 New rule produced : [6] (X meet Y) join X -> X
% 1.14/1.42 Current number of equations to process: 0
% 1.14/1.42 Current number of ordered equations: 4
% 1.14/1.42 Current number of rules: 6
% 1.14/1.42 New rule produced : [7] (X join Y) meet X -> X
% 1.14/1.42 Current number of equations to process: 0
% 1.14/1.42 Current number of ordered equations: 3
% 1.14/1.42 Current number of rules: 7
% 1.14/1.42 New rule produced : [8] ifeq(A,A,B,C) -> B
% 1.14/1.42 Current number of equations to process: 0
% 1.14/1.42 Current number of ordered equations: 2
% 1.14/1.42 Current number of rules: 8
% 1.14/1.42 New rule produced :
% 1.14/1.42 [9] ifeq(X join Y,one,ifeq(X meet Y,zero,complement(X),Y),Y) -> Y
% 1.14/1.42 Current number of equations to process: 0
% 1.14/1.42 Current number of ordered equations: 1
% 1.14/1.42 Current number of rules: 9
% 1.14/1.42 New rule produced :
% 1.14/1.42 [10]
% 1.14/1.42 ((((X meet Z) join Y) meet X) join ((X join Y) meet Z)) meet X ->
% 1.14/1.42 ((X meet Z) join Y) meet X
% 1.19/1.54 Current number of equations to process: 0
% 1.19/1.54 Current number of ordered equations: 0
% 1.19/1.54 Current number of rules: 10
% 1.19/1.54 New rule produced : [11] one join A -> one
% 1.19/1.54 Current number of equations to process: 22
% 1.19/1.54 Current number of ordered equations: 0
% 1.19/1.54 Current number of rules: 11
% 1.19/1.54 New rule produced : [12] zero meet A -> zero
% 1.19/1.54 Current number of equations to process: 44
% 1.19/1.54 Current number of ordered equations: 0
% 1.19/1.54 Current number of rules: 12
% 1.19/1.54 New rule produced : [13] a meet complement(b) -> zero
% 1.19/1.54 Current number of equations to process: 45
% 1.19/1.54 Current number of ordered equations: 0
% 1.19/1.54 Current number of rules: 13
% 1.19/1.54 New rule produced : [14] a join b -> b
% 1.19/1.54 Current number of equations to process: 63
% 1.19/1.54 Current number of ordered equations: 0
% 1.19/1.54 Current number of rules: 14
% 1.19/1.54 New rule produced : [15] zero join A -> A
% 1.19/1.54 Current number of equations to process: 82
% 1.19/1.54 Current number of ordered equations: 0
% 1.19/1.54 Current number of rules: 15
% 1.19/1.54 New rule produced : [16] one meet A -> A
% 1.19/1.54 Current number of equations to process: 107
% 1.19/1.54 Current number of ordered equations: 0
% 1.19/1.54 Current number of rules: 16
% 1.19/1.54 New rule produced : [17] (a meet A) join b -> b
% 1.19/1.54 Current number of equations to process: 137
% 1.19/1.54 Current number of ordered equations: 0
% 1.19/1.54 Current number of rules: 17
% 1.19/1.54 New rule produced : [18] (b join A) meet a -> a
% 1.19/1.54 Current number of equations to process: 136
% 1.19/1.54 Current number of ordered equations: 0
% 1.19/1.54 Current number of rules: 18
% 1.19/1.54 New rule produced : [19] complement(A meet B) join A -> one
% 1.19/1.54 Current number of equations to process: 129
% 1.19/1.54 Current number of ordered equations: 0
% 1.19/1.54 Current number of rules: 19
% 1.19/1.54 New rule produced : [20] complement(A join B) meet A -> zero
% 1.19/1.54 Current number of equations to process: 124
% 1.19/1.54 Current number of ordered equations: 0
% 1.19/1.54 Current number of rules: 20
% 1.19/1.54 New rule produced : [21] a meet complement(b meet A) meet A -> zero
% 1.19/1.54 Current number of equations to process: 115
% 1.19/1.54 Current number of ordered equations: 0
% 1.19/1.54 Current number of rules: 21
% 1.19/1.54 New rule produced : [22] (a meet A) join (b meet A) -> b meet A
% 1.19/1.54 Current number of equations to process: 113
% 1.19/1.54 Current number of ordered equations: 0
% 1.19/1.54 Current number of rules: 22
% 1.19/1.54 New rule produced : [23] (a meet A meet B) join (b meet B) -> b meet B
% 1.19/1.54 Current number of equations to process: 96
% 1.19/1.54 Current number of ordered equations: 0
% 1.19/1.54 Current number of rules: 23
% 1.19/1.54 New rule produced : [24] complement((A meet B) join C) join A join C -> one
% 1.19/1.54 Current number of equations to process: 95
% 1.19/1.54 Current number of ordered equations: 0
% 1.19/1.54 Current number of rules: 24
% 1.19/1.54 New rule produced : [25] ((b meet A) join B) meet a meet A -> a meet A
% 1.19/1.54 Current number of equations to process: 94
% 1.19/1.54 Current number of ordered equations: 0
% 1.19/1.54 Current number of rules: 25
% 1.19/1.54 New rule produced : [26] complement((A join B) meet C) meet A meet C -> zero
% 1.19/1.54 Current number of equations to process: 93
% 1.19/1.54 Current number of ordered equations: 0
% 1.19/1.54 Current number of rules: 26
% 1.19/1.54 New rule produced :
% 1.19/1.54 [27] ((A join B) meet C) join (A meet C) -> (A join B) meet C
% 1.19/1.54 Current number of equations to process: 84
% 1.19/1.54 Current number of ordered equations: 1
% 1.19/1.54 Current number of rules: 27
% 1.19/1.54 New rule produced :
% 1.19/1.54 [28] ((A meet B) join C) meet (A join C) -> (A meet B) join C
% 1.19/1.54 Current number of equations to process: 84
% 1.19/1.54 Current number of ordered equations: 0
% 1.19/1.54 Current number of rules: 28
% 1.19/1.54 New rule produced :
% 1.19/1.54 [29] (((A meet C) join B) meet X) join A join B -> A join B
% 1.19/1.54 Current number of equations to process: 80
% 1.19/1.54 Current number of ordered equations: 0
% 1.19/1.54 Current number of rules: 29
% 1.19/1.54 New rule produced :
% 1.19/1.54 [30] complement(((A join B) meet C) join B) join A join B -> one
% 1.19/1.54 Current number of equations to process: 78
% 1.19/1.54 Current number of ordered equations: 0
% 1.19/1.54 Current number of rules: 30
% 1.19/1.54 New rule produced :
% 1.19/1.54 [31] (((A join C) meet B) join X) meet A meet B -> A meet B
% 1.19/1.54 Current number of equations to process: 76
% 1.19/1.54 Current number of ordered equations: 0
% 1.19/1.54 Current number of rules: 31
% 1.19/1.54 New rule produced :
% 1.19/1.54 [32] complement(((A meet B) join C) meet B) meet A meet B -> zero
% 1.19/1.54 Current number of equations to process: 74
% 1.19/1.54 Current number of ordered equations: 0
% 1.19/1.54 Current number of rules: 32
% 1.19/1.54 New rule produced :
% 1.19/1.54 [33] ((A join B) meet C) join (A meet C meet X) -> (A join B) meet C
% 1.19/1.54 Current number of equations to process: 58
% 1.19/1.54 Current number of ordered equations: 1
% 1.19/1.59 Current number of rules: 33
% 1.19/1.59 New rule produced :
% 1.19/1.59 [34] ((A meet B) join C) meet (A join C join X) -> (A meet B) join C
% 1.19/1.59 Current number of equations to process: 58
% 1.19/1.59 Current number of ordered equations: 0
% 1.19/1.59 Current number of rules: 34
% 1.19/1.59 New rule produced : [35] complement(complement(A)) -> A
% 1.19/1.59 Current number of equations to process: 83
% 1.19/1.59 Current number of ordered equations: 0
% 1.19/1.59 Current number of rules: 35
% 1.19/1.59 New rule produced : [36] ifeq(A,one,ifeq(A,zero,complement(A),A),A) -> A
% 1.19/1.59 Current number of equations to process: 128
% 1.19/1.59 Current number of ordered equations: 0
% 1.19/1.59 Current number of rules: 36
% 1.19/1.59 New rule produced : [37] ifeq(b,one,ifeq(a,zero,complement(a),b),b) -> b
% 1.19/1.59 Current number of equations to process: 126
% 1.19/1.59 Current number of ordered equations: 1
% 1.19/1.59 Current number of rules: 37
% 1.19/1.59 New rule produced : [38] ifeq(b,one,ifeq(a,zero,complement(b),a),a) -> a
% 1.19/1.59 Current number of equations to process: 126
% 1.19/1.59 Current number of ordered equations: 0
% 1.19/1.59 Current number of rules: 38
% 1.19/1.59 New rule produced :
% 1.19/1.59 [39] ifeq((A meet B) join complement(B),one,B,A meet B) -> A meet B
% 1.19/1.59 Current number of equations to process: 125
% 1.19/1.59 Current number of ordered equations: 0
% 1.19/1.59 Current number of rules: 39
% 1.19/1.59 New rule produced :
% 1.19/1.59 [40] ((((A join B) meet C) join B) meet X) join A join B -> A join B
% 1.19/1.59 Current number of equations to process: 122
% 1.19/1.59 Current number of ordered equations: 0
% 1.19/1.59 Current number of rules: 40
% 1.19/1.59 New rule produced :
% 1.19/1.59 [41] ((((A meet B) join C) meet B) join X) meet A meet B -> A meet B
% 1.19/1.59 Current number of equations to process: 120
% 1.19/1.59 Current number of ordered equations: 0
% 1.19/1.59 Current number of rules: 41
% 1.19/1.59 New rule produced :
% 1.19/1.59 [42]
% 1.19/1.59 (((A join B) meet C) join B) meet (A join B) -> ((A join B) meet C) join B
% 1.19/1.59 Current number of equations to process: 115
% 1.19/1.59 Current number of ordered equations: 1
% 1.19/1.59 Current number of rules: 42
% 1.19/1.59 New rule produced :
% 1.19/1.59 [43]
% 1.19/1.59 (((A meet B) join C) meet B) join (A meet B) -> ((A meet B) join C) meet B
% 1.19/1.59 Current number of equations to process: 115
% 1.19/1.59 Current number of ordered equations: 0
% 1.19/1.59 Current number of rules: 43
% 1.19/1.59 New rule produced :
% 1.19/1.59 [44] ifeq(A join B,one,ifeq(B,zero,complement(A join B),B),B) -> B
% 1.19/1.59 Current number of equations to process: 114
% 1.19/1.59 Current number of ordered equations: 0
% 1.19/1.59 Current number of rules: 44
% 1.19/1.59 New rule produced :
% 1.19/1.59 [45] ifeq(A,one,ifeq(A meet B,zero,complement(A meet B),A),A) -> A
% 1.19/1.59 Current number of equations to process: 113
% 1.19/1.59 Current number of ordered equations: 0
% 1.19/1.59 Current number of rules: 45
% 1.19/1.59 New rule produced :
% 1.19/1.59 [46] ifeq(b,one,ifeq(a meet A,zero,complement(a meet A),b),b) -> b
% 1.19/1.59 Current number of equations to process: 112
% 1.19/1.59 Current number of ordered equations: 0
% 1.19/1.59 Current number of rules: 46
% 1.19/1.59 New rule produced :
% 1.19/1.59 [47]
% 1.19/1.59 ifeq((complement(A) join B) meet A,zero,complement(complement(A) join B),A)
% 1.19/1.59 -> A
% 1.19/1.59 Current number of equations to process: 111
% 1.19/1.59 Current number of ordered equations: 0
% 1.19/1.59 Current number of rules: 47
% 1.19/1.59 New rule produced :
% 1.19/1.59 [48]
% 1.19/1.59 ifeq((complement(A) meet B) join A,one,complement(complement(A) meet B),A) ->
% 1.19/1.59 A
% 1.19/1.59 Current number of equations to process: 110
% 1.19/1.59 Current number of ordered equations: 0
% 1.19/1.59 Current number of rules: 48
% 1.19/1.59 New rule produced :
% 1.19/1.59 [49]
% 1.19/1.59 ifeq((A join B) meet complement(B),zero,complement(A join B),complement(B))
% 1.19/1.59 -> complement(B)
% 1.19/1.59 Current number of equations to process: 105
% 1.19/1.59 Current number of ordered equations: 0
% 1.19/1.59 Current number of rules: 49
% 1.19/1.59 New rule produced :
% 1.19/1.59 [50]
% 1.19/1.59 ifeq((A meet B) join complement(B),one,complement(A meet B),complement(B)) ->
% 1.19/1.59 complement(B)
% 1.19/1.59 Current number of equations to process: 104
% 1.19/1.59 Current number of ordered equations: 0
% 1.19/1.59 Current number of rules: 50
% 1.19/1.59 New rule produced :
% 1.19/1.59 [51] ifeq((A join B) meet complement(B),zero,B,A join B) -> A join B
% 1.19/1.59 Current number of equations to process: 99
% 1.19/1.59 Current number of ordered equations: 0
% 1.19/1.59 Current number of rules: 51
% 1.19/1.59 New rule produced :
% 1.19/1.59 [52]
% 1.19/1.59 ifeq((complement(A) join B) meet A,zero,complement(A),complement(A) join B)
% 1.19/1.59 -> complement(A) join B
% 1.19/1.59 Current number of equations to process: 98
% 1.19/1.59 Current number of ordered equations: 0
% 1.19/1.59 Current number of rules: 52
% 1.19/1.59 New rule produced :
% 1.19/1.59 [53]
% 1.19/1.59 ifeq((complement(A) meet B) join A,one,complement(A),complement(A) meet B) ->
% 1.19/1.59 complement(A) meet B
% 1.19/1.59 Current number of equations to process: 97
% 1.19/1.59 Current number of ordered equations: 0
% 3.43/3.66 Current number of rules: 53
% 3.43/3.66 New rule produced :
% 3.43/3.66 [54]
% 3.43/3.66 complement(((A join B) meet C) join B join X) join A join B join X -> one
% 3.43/3.66 Current number of equations to process: 96
% 3.43/3.66 Current number of ordered equations: 0
% 3.43/3.66 Current number of rules: 54
% 3.43/3.66 New rule produced :
% 3.43/3.66 [55]
% 3.43/3.66 complement(((A meet B) join C) meet B meet X) meet A meet B meet X -> zero
% 3.43/3.66 Current number of equations to process: 95
% 3.43/3.66 Current number of ordered equations: 0
% 3.43/3.66 Current number of rules: 55
% 3.43/3.66 New rule produced :
% 3.43/3.66 [56]
% 3.43/3.66 (((A join B) meet C) join B) meet (A join B join X) ->
% 3.43/3.66 ((A join B) meet C) join B
% 3.43/3.66 Current number of equations to process: 91
% 3.43/3.66 Current number of ordered equations: 1
% 3.43/3.66 Current number of rules: 56
% 3.43/3.66 New rule produced :
% 3.43/3.66 [57]
% 3.43/3.66 (((A meet B) join C) meet B) join (A meet B meet X) ->
% 3.43/3.66 ((A meet B) join C) meet B
% 3.43/3.66 Current number of equations to process: 91
% 3.43/3.66 Current number of ordered equations: 0
% 3.43/3.66 Current number of rules: 57
% 3.43/3.66 New rule produced :
% 3.43/3.66 [58]
% 3.43/3.66 ifeq(A join B,one,ifeq(B,zero,complement(B),A join B),A join B) -> A join B
% 3.43/3.66 Current number of equations to process: 78
% 3.43/3.66 Current number of ordered equations: 0
% 3.43/3.66 Current number of rules: 58
% 3.43/3.66 New rule produced :
% 3.43/3.66 [59]
% 3.43/3.66 ifeq(A,one,ifeq(A meet B,zero,complement(A),A meet B),A meet B) -> A meet B
% 3.43/3.66 Current number of equations to process: 77
% 3.43/3.66 Current number of ordered equations: 0
% 3.43/3.66 Current number of rules: 59
% 3.43/3.66 New rule produced :
% 3.43/3.66 [60]
% 3.43/3.66 ifeq(b,one,ifeq(a meet A,zero,complement(b),a meet A),a meet A) -> a meet A
% 3.43/3.66 Current number of equations to process: 76
% 3.43/3.66 Current number of ordered equations: 0
% 3.43/3.66 Current number of rules: 60
% 3.43/3.66 New rule produced :
% 3.43/3.66 [61] (((a join A) meet b) join a) meet b -> (a join A) meet b
% 3.43/3.66 Current number of equations to process: 207
% 3.43/3.66 Current number of ordered equations: 0
% 3.43/3.66 Current number of rules: 61
% 3.43/3.66 New rule produced : [62] ((A meet B) join (A meet C)) meet B -> A meet B
% 3.43/3.66 Current number of equations to process: 248
% 3.43/3.66 Current number of ordered equations: 0
% 3.43/3.66 Current number of rules: 62
% 3.43/3.66 New rule produced :
% 3.43/3.66 [63] (((A join B) meet C) join B) meet C -> (A join B) meet C
% 3.43/3.66 Rule [61] (((a join A) meet b) join a) meet b -> (a join A) meet b collapsed.
% 3.43/3.66 Current number of equations to process: 247
% 3.43/3.66 Current number of ordered equations: 0
% 3.43/3.66 Current number of rules: 62
% 3.43/3.66 New rule produced :
% 3.43/3.66 [64] ((A join B) meet (A join C)) join A -> (A join B) meet (A join C)
% 3.43/3.66 Current number of equations to process: 292
% 3.43/3.66 Current number of ordered equations: 0
% 3.43/3.66 Current number of rules: 63
% 3.43/3.66 New rule produced :
% 3.43/3.66 [65] (((A join B) meet complement(B)) join (A meet B)) meet B -> A meet B
% 3.43/3.66 Current number of equations to process: 291
% 3.43/3.66 Current number of ordered equations: 0
% 3.43/3.66 Current number of rules: 64
% 3.43/3.66 New rule produced :
% 3.43/3.66 [66] (((A join B) meet C) join (B meet X)) meet C -> (A join B) meet C
% 3.43/3.66 Current number of equations to process: 289
% 3.43/3.66 Current number of ordered equations: 0
% 3.43/3.66 Current number of rules: 65
% 3.43/3.66 New rule produced :
% 3.43/3.66 [67]
% 3.43/3.66 (((A join B) meet complement(B) meet C) join (A meet B)) meet B -> A meet B
% 3.43/3.66 Current number of equations to process: 285
% 3.43/3.66 Current number of ordered equations: 0
% 3.43/3.66 Current number of rules: 66
% 3.43/3.66 New rule produced :
% 3.43/3.66 [68]
% 3.43/3.66 ((((A meet B) join complement(A)) meet A) join B) meet A ->
% 3.43/3.66 ((A meet B) join complement(A)) meet A
% 3.43/3.66 Current number of equations to process: 282
% 3.43/3.66 Current number of ordered equations: 0
% 3.43/3.66 Current number of rules: 67
% 3.43/3.66 New rule produced :
% 3.43/3.66 [69]
% 3.43/3.66 (((complement(A) join B) meet A) join (complement(A) meet B)) meet complement(A)
% 3.43/3.66 -> complement(A) meet B
% 3.43/3.66 Current number of equations to process: 281
% 3.43/3.66 Current number of ordered equations: 0
% 3.43/3.66 Current number of rules: 68
% 3.43/3.66 New rule produced : [70] ifeq(A,zero,complement(A),one) -> one
% 3.43/3.66 Current number of equations to process: 299
% 3.43/3.66 Current number of ordered equations: 1
% 3.43/3.66 Current number of rules: 69
% 3.43/3.66 New rule produced : [71] ifeq(A,zero,complement(one),A) -> A
% 3.43/3.66 Current number of equations to process: 299
% 3.43/3.66 Current number of ordered equations: 0
% 3.43/3.66 Current number of rules: 70
% 3.43/3.66 New rule produced : [72] ifeq(A,one,complement(A),zero) -> zero
% 3.43/3.66 Current number of equations to process: 300
% 3.43/3.66 Current number of ordered equations: 1
% 3.43/3.66 Current number of rules: 71
% 3.43/3.66 New rule produced : [73] ifeq(A,one,complement(zero),A) -> A
% 3.43/3.66 Current number of equations to process: 300
% 4.02/4.28 Current number of ordered equations: 0
% 4.02/4.28 Current number of rules: 72
% 4.02/4.28 New rule produced : [74] ifeq(a join complement(b),one,b,a) -> a
% 4.02/4.28 Current number of equations to process: 306
% 4.02/4.28 Current number of ordered equations: 0
% 4.02/4.28 Current number of rules: 73
% 4.02/4.28 New rule produced :
% 4.02/4.28 [75]
% 4.02/4.28 ifeq(a join complement(b),one,complement(a),complement(b)) -> complement(b)
% 4.02/4.28 Current number of equations to process: 305
% 4.02/4.28 Current number of ordered equations: 0
% 4.02/4.28 Current number of rules: 74
% 4.02/4.28 New rule produced : [76] b join complement(a) -> one
% 4.02/4.28 Current number of equations to process: 330
% 4.02/4.28 Current number of ordered equations: 0
% 4.02/4.28 Current number of rules: 75
% 4.02/4.28 New rule produced : [77] b join complement(a join A) join A -> one
% 4.02/4.28 Current number of equations to process: 328
% 4.02/4.28 Current number of ordered equations: 0
% 4.02/4.28 Current number of rules: 76
% 4.02/4.28 New rule produced : [78] (a join A) meet (b join A) -> a join A
% 4.02/4.28 Current number of equations to process: 327
% 4.02/4.28 Current number of ordered equations: 0
% 4.02/4.28 Current number of rules: 77
% 4.02/4.28 New rule produced : [79] ((a join A) meet B) join b join A -> b join A
% 4.02/4.28 Current number of equations to process: 331
% 4.02/4.28 Current number of ordered equations: 0
% 4.02/4.28 Current number of rules: 78
% 4.02/4.28 New rule produced : [80] (a join A) meet (b join A join B) -> a join A
% 4.02/4.28 Current number of equations to process: 330
% 4.02/4.28 Current number of ordered equations: 0
% 4.02/4.28 Current number of rules: 79
% 4.02/4.28 New rule produced : [81] complement(zero) -> one
% 4.02/4.28 Rule [73] ifeq(A,one,complement(zero),A) -> A collapsed.
% 4.02/4.28 Current number of equations to process: 340
% 4.02/4.28 Current number of ordered equations: 0
% 4.02/4.28 Current number of rules: 79
% 4.02/4.28 New rule produced : [82] ifeq(A,one,one,A) -> A
% 4.02/4.28 Current number of equations to process: 338
% 4.02/4.28 Current number of ordered equations: 0
% 4.02/4.28 Current number of rules: 80
% 4.02/4.28 New rule produced : [83] complement(one) -> zero
% 4.02/4.28 Rule [71] ifeq(A,zero,complement(one),A) -> A collapsed.
% 4.02/4.28 Current number of equations to process: 340
% 4.02/4.28 Current number of ordered equations: 0
% 4.02/4.28 Current number of rules: 80
% 4.02/4.28 New rule produced : [84] ifeq(A,zero,zero,A) -> A
% 4.02/4.28 Current number of equations to process: 338
% 4.02/4.28 Current number of ordered equations: 0
% 4.02/4.28 Current number of rules: 81
% 4.02/4.28 New rule produced : [85] b join complement(a meet A) -> one
% 4.02/4.28 Current number of equations to process: 347
% 4.02/4.28 Current number of ordered equations: 0
% 4.02/4.28 Current number of rules: 82
% 4.02/4.28 New rule produced : [86] b join complement((a meet A) join B) join B -> one
% 4.02/4.28 Current number of equations to process: 351
% 4.02/4.28 Current number of ordered equations: 0
% 4.02/4.28 Current number of rules: 83
% 4.02/4.28 New rule produced :
% 4.02/4.28 [87] ((a meet A) join B) meet (b join B) -> (a meet A) join B
% 4.02/4.28 Current number of equations to process: 347
% 4.02/4.28 Current number of ordered equations: 0
% 4.02/4.28 Current number of rules: 84
% 4.02/4.28 New rule produced : [88] a meet complement(b join A) -> zero
% 4.02/4.28 Current number of equations to process: 372
% 4.02/4.28 Current number of ordered equations: 0
% 4.02/4.28 Current number of rules: 85
% 4.02/4.28 New rule produced : [89] ((b meet A) join a) meet A -> b meet A
% 4.02/4.28 Current number of equations to process: 371
% 4.02/4.28 Current number of ordered equations: 0
% 4.02/4.28 Current number of rules: 86
% 4.02/4.28 New rule produced : [90] ((a meet A) join (b meet B)) meet B -> b meet B
% 4.02/4.28 Current number of equations to process: 374
% 4.02/4.28 Current number of ordered equations: 0
% 4.02/4.28 Current number of rules: 87
% 4.02/4.28 New rule produced : [91] a meet complement((b join A) meet B) meet B -> zero
% 4.02/4.28 Current number of equations to process: 373
% 4.02/4.28 Current number of ordered equations: 0
% 4.02/4.28 Current number of rules: 88
% 4.02/4.28 New rule produced :
% 4.02/4.28 [92] (((b join A) meet B) join a) meet B -> (b join A) meet B
% 4.02/4.28 Current number of equations to process: 371
% 4.02/4.28 Current number of ordered equations: 0
% 4.02/4.28 Current number of rules: 89
% 4.02/4.28 New rule produced :
% 4.02/4.28 [93] ((b join A) meet B) join (a meet B) -> (b join A) meet B
% 4.02/4.28 Current number of equations to process: 370
% 4.02/4.28 Current number of ordered equations: 0
% 4.02/4.28 Current number of rules: 90
% 4.02/4.28 New rule produced : [94] (b meet A) join complement(a meet A) -> one
% 4.02/4.28 Current number of equations to process: 405
% 4.02/4.28 Current number of ordered equations: 0
% 4.02/4.28 Current number of rules: 91
% 4.02/4.28 New rule produced : [95] (b meet A) join complement(a meet A meet B) -> one
% 4.02/4.28 Current number of equations to process: 419
% 4.02/4.28 Current number of ordered equations: 0
% 4.02/4.28 Current number of rules: 92
% 4.99/5.28 New rule produced : [96] ((A join B) meet C) join complement(A meet C) -> one
% 4.99/5.28 Current number of equations to process: 418
% 4.99/5.28 Current number of ordered equations: 0
% 4.99/5.28 Current number of rules: 93
% 4.99/5.28 New rule produced : [97] b join complement((a join A) meet B) join A -> one
% 4.99/5.28 Current number of equations to process: 503
% 4.99/5.28 Current number of ordered equations: 0
% 4.99/5.28 Current number of rules: 94
% 4.99/5.28 New rule produced : [98] ((b join A) meet B) join complement(a meet B) -> one
% 4.99/5.28 Current number of equations to process: 502
% 4.99/5.28 Current number of ordered equations: 0
% 4.99/5.28 Current number of rules: 95
% 4.99/5.28 New rule produced : [99] a meet complement((b meet A) join B) meet A -> zero
% 4.99/5.28 Current number of equations to process: 501
% 4.99/5.28 Current number of ordered equations: 0
% 4.99/5.28 Current number of rules: 96
% 4.99/5.28 New rule produced :
% 4.99/5.28 [100] ((A meet B) join C) meet complement(A join C) -> zero
% 4.99/5.28 Current number of equations to process: 500
% 4.99/5.28 Current number of ordered equations: 0
% 4.99/5.28 Current number of rules: 97
% 4.99/5.28 New rule produced : [101] (a join A) meet complement(b join A) -> zero
% 4.99/5.28 Current number of equations to process: 571
% 4.99/5.28 Current number of ordered equations: 0
% 4.99/5.28 Current number of rules: 98
% 4.99/5.28 New rule produced : [102] a meet complement((a join A) meet b) -> zero
% 4.99/5.28 Current number of equations to process: 570
% 4.99/5.28 Current number of ordered equations: 0
% 4.99/5.28 Current number of rules: 99
% 4.99/5.28 New rule produced : [103] (a join A) meet complement(b join A join B) -> zero
% 4.99/5.28 Current number of equations to process: 568
% 4.99/5.28 Current number of ordered equations: 0
% 4.99/5.28 Current number of rules: 100
% 4.99/5.28 New rule produced :
% 4.99/5.28 [104] ((a meet A) join B) meet complement(b join B) -> zero
% 4.99/5.28 Current number of equations to process: 567
% 4.99/5.28 Current number of ordered equations: 0
% 4.99/5.28 Current number of rules: 101
% 4.99/5.28 New rule produced : [105] a meet complement((A join B) meet b) meet A -> zero
% 4.99/5.28 Current number of equations to process: 565
% 4.99/5.28 Current number of ordered equations: 0
% 4.99/5.28 Current number of rules: 102
% 4.99/5.28 New rule produced :
% 4.99/5.28 [106] (((a meet B) join A) meet C) join b join A -> b join A
% 4.99/5.28 Current number of equations to process: 603
% 4.99/5.28 Current number of ordered equations: 0
% 4.99/5.28 Current number of rules: 103
% 4.99/5.28 New rule produced :
% 4.99/5.28 [107] (((b join B) meet A) join C) meet a meet A -> a meet A
% 4.99/5.28 Current number of equations to process: 601
% 4.99/5.28 Current number of ordered equations: 0
% 4.99/5.28 Current number of rules: 104
% 4.99/5.28 New rule produced :
% 4.99/5.28 [108] complement(((A meet B) join C) meet X) join A join C -> one
% 4.99/5.28 Current number of equations to process: 599
% 4.99/5.28 Current number of ordered equations: 0
% 4.99/5.28 Current number of rules: 105
% 4.99/5.28 New rule produced :
% 4.99/5.28 [109] ((A join B) meet C) join complement(A meet C meet X) -> one
% 4.99/5.28 Current number of equations to process: 596
% 4.99/5.28 Current number of ordered equations: 1
% 4.99/5.28 Current number of rules: 106
% 4.99/5.28 New rule produced :
% 4.99/5.28 [110] (((A meet B) join C) meet B) join complement(A meet B) -> one
% 4.99/5.28 Current number of equations to process: 596
% 4.99/5.28 Current number of ordered equations: 0
% 4.99/5.28 Current number of rules: 107
% 4.99/5.28 New rule produced :
% 4.99/5.28 [111] ifeq(complement(A meet B) meet A,zero,A meet B,A) -> A
% 4.99/5.28 Current number of equations to process: 595
% 4.99/5.28 Current number of ordered equations: 0
% 4.99/5.28 Current number of rules: 108
% 4.99/5.28 New rule produced :
% 4.99/5.28 [112] b join complement(((a meet A) join B) meet C) join B -> one
% 4.99/5.28 Current number of equations to process: 593
% 4.99/5.28 Current number of ordered equations: 0
% 4.99/5.28 Current number of rules: 109
% 4.99/5.28 New rule produced :
% 4.99/5.28 [113] ((b join A) meet B) join complement(a meet B meet C) -> one
% 4.99/5.28 Current number of equations to process: 591
% 4.99/5.28 Current number of ordered equations: 0
% 4.99/5.28 Current number of rules: 110
% 4.99/5.28 New rule produced :
% 4.99/5.28 [114] ((A meet B) join C) meet complement(A join C join X) -> zero
% 4.99/5.28 Current number of equations to process: 587
% 4.99/5.28 Current number of ordered equations: 1
% 4.99/5.28 Current number of rules: 111
% 4.99/5.28 New rule produced :
% 4.99/5.28 [115] (((A join B) meet C) join B) meet complement(A join B) -> zero
% 4.99/5.28 Current number of equations to process: 587
% 4.99/5.28 Current number of ordered equations: 0
% 4.99/5.28 Current number of rules: 112
% 4.99/5.28 New rule produced :
% 4.99/5.28 [116] complement(((A join B) meet C) join X) meet A meet C -> zero
% 4.99/5.28 Current number of equations to process: 586
% 4.99/5.28 Current number of ordered equations: 0
% 4.99/5.28 Current number of rules: 113
% 4.99/5.28 New rule produced :
% 4.99/5.28 [117] ifeq(complement(A join B) join A,one,A join B,A) -> A
% 18.08/18.31 Current number of equations to process: 585
% 18.08/18.31 Current number of ordered equations: 0
% 18.08/18.31 Current number of rules: 114
% 18.08/18.31 New rule produced :
% 18.08/18.31 [118] ((a meet A) join B) meet complement(b join B join C) -> zero
% 18.08/18.31 Current number of equations to process: 582
% 18.08/18.31 Current number of ordered equations: 0
% 18.08/18.31 Current number of rules: 115
% 18.08/18.31 New rule produced :
% 18.08/18.31 [119] a meet complement(((b join A) meet B) join C) meet B -> zero
% 18.08/18.31 Current number of equations to process: 581
% 18.08/18.31 Current number of ordered equations: 0
% 18.08/18.31 Current number of rules: 116
% 18.08/18.31 New rule produced :
% 18.08/18.31 [120] a meet complement((a join A) meet b meet B) meet B -> zero
% 18.08/18.31 Current number of equations to process: 578
% 18.08/18.31 Current number of ordered equations: 1
% 18.08/18.31 Current number of rules: 117
% 18.08/18.31 New rule produced :
% 18.08/18.31 [121] a meet complement(((a meet A) join B) meet b) meet A -> zero
% 18.08/18.31 Current number of equations to process: 578
% 18.08/18.31 Current number of ordered equations: 0
% 18.08/18.31 Current number of rules: 118
% 18.08/18.31 New rule produced : [122] ((a join A) meet b) join a -> (a join A) meet b
% 18.08/18.31 Current number of equations to process: 699
% 18.08/18.31 Current number of ordered equations: 0
% 18.08/18.31 Current number of rules: 119
% 18.08/18.31 New rule produced :
% 18.08/18.31 [123] (b meet A) join complement((a meet A) join B) join B -> one
% 18.08/18.31 Current number of equations to process: 706
% 18.08/18.31 Current number of ordered equations: 0
% 18.08/18.31 Current number of rules: 120
% 18.08/18.31 New rule produced :
% 18.08/18.31 [124] ((a join A) meet b) join (a meet B) -> (a join A) meet b
% 18.08/18.31 Current number of equations to process: 789
% 18.08/18.31 Current number of ordered equations: 1
% 18.08/18.31 Current number of rules: 121
% 18.08/18.31 New rule produced :
% 18.08/18.31 [125] ((A join B) meet b) join (a meet A) -> (A join B) meet b
% 18.08/18.31 Current number of equations to process: 789
% 18.08/18.31 Current number of ordered equations: 0
% 18.08/18.31 Current number of rules: 122
% 18.08/18.31 New rule produced :
% 18.08/18.31 [126] ((a meet A) join B) meet complement((b meet A) join B) -> zero
% 18.08/18.31 Current number of equations to process: 796
% 18.08/18.31 Current number of ordered equations: 0
% 18.08/18.31 Current number of rules: 123
% 18.08/18.31 New rule produced :
% 18.08/18.31 [127] ifeq((a meet A) join complement(b),one,b,a meet A) -> a meet A
% 18.08/18.31 Current number of equations to process: 795
% 18.08/18.31 Current number of ordered equations: 0
% 18.08/18.31 Current number of rules: 124
% 18.08/18.31 New rule produced :
% 18.08/18.31 [128] (((a join A) meet complement(b)) join (a meet A)) meet a -> a meet A
% 18.08/18.31 Current number of equations to process: 794
% 18.08/18.31 Current number of ordered equations: 0
% 18.08/18.31 Current number of rules: 125
% 18.08/18.31 New rule produced :
% 18.08/18.31 [129] ((a meet A) join B) meet (b join B join C) -> (a meet A) join B
% 18.08/18.31 Current number of equations to process: 791
% 18.08/18.31 Current number of ordered equations: 0
% 18.08/18.31 Current number of rules: 126
% 18.08/18.31 New rule produced :
% 18.08/18.31 [130] (((b join A) meet B) join (a meet C)) meet B -> (b join A) meet B
% 18.08/18.31 Current number of equations to process: 789
% 18.08/18.31 Current number of ordered equations: 0
% 18.08/18.31 Current number of rules: 127
% 18.08/18.31 New rule produced :
% 18.08/18.31 [131] ((b join A) meet B) join (a meet B meet C) -> (b join A) meet B
% 18.08/18.31 Current number of equations to process: 788
% 18.08/18.31 Current number of ordered equations: 0
% 18.08/18.31 Current number of rules: 128
% 18.08/18.31 New rule produced :
% 18.08/18.31 [132] ((a meet A) join B) meet ((b meet A) join B) -> (a meet A) join B
% 18.08/18.31 Current number of equations to process: 786
% 18.08/18.31 Current number of ordered equations: 0
% 18.08/18.31 Current number of rules: 129
% 18.08/18.31 New rule produced :
% 18.08/18.31 [133] ((A join B) meet b) join (a meet A meet C) -> (A join B) meet b
% 18.08/18.31 Current number of equations to process: 785
% 18.08/18.31 Current number of ordered equations: 0
% 18.08/18.31 Current number of rules: 130
% 18.08/18.31 New rule produced :
% 18.08/18.31 [134] complement((A meet B) join (A meet C)) join A -> one
% 18.08/18.31 Current number of equations to process: 965
% 18.08/18.31 Current number of ordered equations: 0
% 18.08/18.31 Current number of rules: 131
% 18.08/18.31 New rule produced :
% 18.08/18.31 [135] complement((A meet B) join (C meet X)) join A join C -> one
% 18.08/18.31 Current number of equations to process: 1027
% 18.08/18.31 Current number of ordered equations: 0
% 18.08/18.31 Current number of rules: 132
% 18.08/18.31 New rule produced :
% 18.08/18.31 [136] ((a meet A) join (b meet A meet B)) meet B -> b meet A meet B
% 18.08/18.31 Current number of equations to process: 1026
% 18.08/18.31 Current number of ordered equations: 0
% 18.08/18.31 Current number of rules: 133
% 18.08/18.31 New rule produced : [137] b join complement((b meet A) join a) -> one
% 18.08/18.31 Current number of equations to process: 1204
% 18.08/18.31 Current number of ordered equations: 0
% 38.60/38.87 Current number of rules: 134
% 38.60/38.87 New rule produced : [138] (((a join A) meet b) join B) meet a -> a
% 38.60/38.87 Current number of equations to process: 1353
% 38.60/38.87 Current number of ordered equations: 0
% 38.60/38.87 Current number of rules: 135
% 38.60/38.87 New rule produced : [139] b join complement((A meet B) join a) join A -> one
% 38.60/38.87 Current number of equations to process: 1351
% 38.60/38.87 Current number of ordered equations: 0
% 38.60/38.87 Current number of rules: 136
% 38.60/38.87 New rule produced :
% 38.60/38.87 [140] b join complement((a meet A) join (b meet B)) -> one
% 38.60/38.87 Current number of equations to process: 1350
% 38.60/38.87 Current number of ordered equations: 0
% 38.60/38.87 Current number of rules: 137
% 38.60/38.87 New rule produced :
% 38.60/38.87 [141] b join complement(((a join A) meet B) join b) join A -> one
% 38.60/38.87 Current number of equations to process: 1385
% 38.60/38.87 Current number of ordered equations: 2
% 38.60/38.87 Current number of rules: 138
% 38.60/38.87 New rule produced :
% 38.60/38.87 [142] b join complement(((b join A) meet B) join a) join A -> one
% 38.60/38.87 Current number of equations to process: 1385
% 38.60/38.87 Current number of ordered equations: 1
% 38.60/38.87 Current number of rules: 139
% 38.60/38.87 New rule produced :
% 38.60/38.87 [143] b join complement((b meet A) join a join B) join B -> one
% 38.60/38.87 Current number of equations to process: 1385
% 38.60/38.87 Current number of ordered equations: 0
% 38.60/38.87 Current number of rules: 140
% 38.60/38.87 New rule produced :
% 38.60/38.87 [144] b join complement((a meet A) join (B meet C)) join B -> one
% 38.60/38.87 Current number of equations to process: 1383
% 38.60/38.87 Current number of ordered equations: 0
% 38.60/38.87 Current number of rules: 141
% 38.60/38.87 New rule produced :
% 38.60/38.87 [145] a meet complement(((b meet A) join B) meet a) meet A -> zero
% 38.60/38.87 Current number of equations to process: 1381
% 38.60/38.87 Current number of ordered equations: 1
% 38.60/38.87 Current number of rules: 142
% 38.60/38.87 New rule produced :
% 38.60/38.87 [146] a meet complement(((b meet A) join B) meet A) meet A -> zero
% 38.60/38.87 Current number of equations to process: 1381
% 38.60/38.87 Current number of ordered equations: 0
% 38.60/38.87 Current number of rules: 143
% 38.60/38.87 New rule produced :
% 38.60/38.87 [147] (((A join B) meet b) join C) meet a meet A -> a meet A
% 38.60/38.87 Current number of equations to process: 1379
% 38.60/38.87 Current number of ordered equations: 0
% 38.60/38.87 Current number of rules: 144
% 38.60/38.87 New rule produced :
% 38.60/38.87 [148] complement((A join B) meet (A join C)) meet A -> zero
% 38.60/38.87 Current number of equations to process: 1720
% 38.60/38.87 Current number of ordered equations: 0
% 38.60/38.87 Current number of rules: 145
% 38.60/38.87 New rule produced :
% 38.60/38.87 [149] (((b meet A) join B) meet A) join complement(a meet A) -> one
% 38.60/38.87 Current number of equations to process: 1782
% 38.60/38.87 Current number of ordered equations: 1
% 38.60/38.87 Current number of rules: 146
% 38.60/38.87 New rule produced :
% 38.60/38.87 [150] (((b meet A) join B) meet a) join complement(a meet A) -> one
% 38.60/38.87 Current number of equations to process: 1782
% 38.60/38.87 Current number of ordered equations: 0
% 38.60/38.87 Current number of rules: 147
% 38.60/38.87 New rule produced :
% 38.60/38.87 [151] a meet complement(((b meet A) join B) meet b) meet A -> zero
% 38.60/38.87 Current number of equations to process: 1781
% 38.60/38.87 Current number of ordered equations: 0
% 38.60/38.87 Current number of rules: 148
% 38.60/38.87 New rule produced :
% 38.60/38.87 [152] complement((A join B) meet (C join X)) meet A meet C -> zero
% 38.60/38.87 Current number of equations to process: 1779
% 38.60/38.87 Current number of ordered equations: 0
% 38.60/38.87 Current number of rules: 149
% 38.60/38.87 New rule produced :
% 38.60/38.87 [153] a meet complement((a join A) meet (b join B)) -> zero
% 38.60/38.87 Current number of equations to process: 2312
% 38.60/38.87 Current number of ordered equations: 0
% 38.60/38.87 Current number of rules: 150
% 38.60/38.87 New rule produced : [154] ((A join B) meet (B join C)) join A -> A join B
% 38.60/38.87 Current number of equations to process: 2382
% 38.60/38.87 Current number of ordered equations: 0
% 38.60/38.87 Current number of rules: 151
% 38.60/38.87 New rule produced :
% 38.60/38.87 [155] (a join A) meet complement((b join A) meet B) meet B -> zero
% 38.60/38.87 Current number of equations to process: 2381
% 38.60/38.87 Current number of ordered equations: 0
% 38.60/38.87 Current number of rules: 152
% 38.60/38.87 New rule produced :
% 38.60/38.87 [156] a meet complement((b join A) meet (B join C)) meet B -> zero
% 38.60/38.87 Current number of equations to process: 2379
% 38.60/38.87 Current number of ordered equations: 0
% 38.60/38.87 Current number of rules: 153
% 38.60/38.87 New rule produced :
% 38.60/38.87 [157]
% 38.60/38.87 ifeq((complement(b) meet A) join a,one,complement(complement(b) meet A),a) ->
% 38.60/38.87 a
% 38.60/38.87 Current number of equations to process: 2385
% 38.60/38.87 Current number of ordered equations: 0
% 38.60/38.87 Current number of rules: 154
% 38.60/38.87 New rule produced :
% 38.60/38.87 [158] ifeq(b join A,one,ifeq(a,zero,complement(b join A),a),a) -> a
% 38.60/38.87 Current number of equations to process: 2384
% 38.65/38.94 Current number of ordered equations: 0
% 38.65/38.94 Current number of rules: 155
% 38.65/38.94 New rule produced :
% 38.65/38.94 [159] complement((((A join B) meet C) join B) meet X) join A join B -> one
% 38.65/38.94 Current number of equations to process: 2378
% 38.65/38.94 Current number of ordered equations: 0
% 38.65/38.94 Current number of rules: 156
% 38.65/38.94 New rule produced :
% 38.65/38.94 [160] (((A meet B) join C) meet B) join complement(A meet B meet X) -> one
% 38.65/38.94 Current number of equations to process: 2375
% 38.65/38.94 Current number of ordered equations: 0
% 38.65/38.94 Current number of rules: 157
% 38.65/38.94 New rule produced :
% 38.65/38.94 [161] (((A join B) meet C) join B) meet complement(A join B join X) -> zero
% 38.65/38.94 Current number of equations to process: 2370
% 38.65/38.94 Current number of ordered equations: 0
% 38.65/38.94 Current number of rules: 158
% 38.65/38.94 New rule produced :
% 38.65/38.94 [162] complement((((A meet B) join C) meet B) join X) meet A meet B -> zero
% 38.65/38.94 Current number of equations to process: 2368
% 38.65/38.94 Current number of ordered equations: 0
% 38.65/38.94 Current number of rules: 159
% 38.65/38.94 New rule produced :
% 38.65/38.94 [163] a meet complement(((a meet A) join B) meet b meet A) meet A -> zero
% 38.65/38.94 Current number of equations to process: 2362
% 38.65/38.94 Current number of ordered equations: 1
% 38.65/38.94 Current number of rules: 160
% 38.65/38.94 New rule produced :
% 38.65/38.94 [164] a meet complement((A join B) meet b meet C) meet A meet C -> zero
% 38.65/38.94 Current number of equations to process: 2362
% 38.65/38.94 Current number of ordered equations: 0
% 38.65/38.94 Current number of rules: 161
% 38.65/38.94 New rule produced :
% 38.65/38.94 [165] ((a join A) meet b meet B) join (a meet B) -> (a join A) meet b meet B
% 38.65/38.94 Current number of equations to process: 2360
% 38.65/38.94 Current number of ordered equations: 0
% 38.65/38.94 Current number of rules: 162
% 38.65/38.94 New rule produced :
% 38.65/38.94 [166] (b meet A) join complement(((a meet A) join B) meet C) join B -> one
% 38.65/38.94 Current number of equations to process: 2359
% 38.65/38.94 Current number of ordered equations: 0
% 38.65/38.94 Current number of rules: 163
% 38.65/38.94 New rule produced :
% 38.65/38.94 [167] ((a meet A) join B) meet complement((b meet A) join B join C) -> zero
% 38.65/38.94 Current number of equations to process: 2357
% 38.65/38.94 Current number of ordered equations: 0
% 38.65/38.94 Current number of rules: 164
% 38.65/38.94 New rule produced :
% 38.65/38.94 [168] (b meet A) join complement((a meet A meet B) join C) join C -> one
% 38.65/38.94 Current number of equations to process: 2356
% 38.65/38.94 Current number of ordered equations: 0
% 38.65/38.94 Current number of rules: 165
% 38.65/38.94 New rule produced :
% 38.65/38.94 [169]
% 38.65/38.94 (((a meet A) join B) meet b) join (a meet A) -> ((a meet A) join B) meet b
% 38.65/38.94 Current number of equations to process: 2353
% 38.65/38.94 Current number of ordered equations: 0
% 38.65/38.94 Current number of rules: 166
% 38.65/38.94 New rule produced :
% 38.65/38.94 [170] ((a meet A meet B) join C) meet complement((b meet B) join C) -> zero
% 38.65/38.94 Current number of equations to process: 2352
% 38.65/38.94 Current number of ordered equations: 0
% 38.65/38.94 Current number of rules: 167
% 38.65/38.94 New rule produced :
% 38.65/38.94 [171] complement(((A join B) meet C) join (A meet X)) join A join B -> one
% 38.65/38.94 Current number of equations to process: 2346
% 38.65/38.94 Current number of ordered equations: 2
% 38.65/38.94 Current number of rules: 168
% 38.65/38.94 New rule produced :
% 38.65/38.94 [172] complement((((A meet B) join C) meet X) join A) join A join C -> one
% 38.65/38.94 Current number of equations to process: 2346
% 38.65/38.94 Current number of ordered equations: 1
% 38.65/38.94 Current number of rules: 169
% 38.65/38.94 New rule produced :
% 38.65/38.94 [173] complement((A meet B) join (A meet C) join X) join A join X -> one
% 38.65/38.94 Current number of equations to process: 2346
% 38.65/38.94 Current number of ordered equations: 0
% 38.65/38.94 Current number of rules: 170
% 38.65/38.94 New rule produced :
% 38.65/38.94 [174] ((A join B) meet C) join complement((A meet C) join X) join X -> one
% 38.65/38.94 Current number of equations to process: 2345
% 38.65/38.94 Current number of ordered equations: 0
% 38.65/38.94 Current number of rules: 171
% 38.65/38.94 New rule produced :
% 38.65/38.94 [175] b join complement(((a join A) meet B) join C) join A join C -> one
% 38.65/38.94 Current number of equations to process: 2340
% 38.65/38.94 Current number of ordered equations: 1
% 38.65/38.94 Current number of rules: 172
% 38.65/38.94 New rule produced :
% 38.65/38.94 [176] b join complement((A meet B) join a join C) join A join C -> one
% 38.65/38.94 Current number of equations to process: 2340
% 38.65/38.94 Current number of ordered equations: 0
% 38.65/38.94 Current number of rules: 173
% 38.65/38.94 New rule produced :
% 38.65/38.94 [177] b join complement(((b join A) meet B) join (a meet C)) join A -> one
% 38.65/38.94 Current number of equations to process: 2336
% 38.65/38.94 Current number of ordered equations: 2
% 38.65/38.94 Current number of rules: 174
% 38.65/38.94 New rule produced :
% 38.65/38.94 [178] b join complement((((a meet A) join B) meet C) join b) join B -> one
% 38.80/39.03 Current number of equations to process: 2336
% 38.80/39.03 Current number of ordered equations: 1
% 38.80/39.03 Current number of rules: 175
% 38.80/39.03 New rule produced :
% 38.80/39.03 [179] b join complement((a meet A) join (b meet B) join C) join C -> one
% 38.80/39.03 Current number of equations to process: 2336
% 38.80/39.03 Current number of ordered equations: 0
% 38.80/39.03 Current number of rules: 176
% 38.80/39.03 New rule produced :
% 38.80/39.03 [180] ((b join A) meet B) join complement((a meet B) join C) join C -> one
% 38.80/39.03 Current number of equations to process: 2335
% 38.80/39.03 Current number of ordered equations: 0
% 38.80/39.03 Current number of rules: 177
% 38.80/39.03 New rule produced :
% 38.80/39.03 [181] (b meet A) join complement((a meet A) join (B meet C)) join B -> one
% 38.80/39.03 Current number of equations to process: 2332
% 38.80/39.03 Current number of ordered equations: 1
% 38.80/39.03 Current number of rules: 178
% 38.80/39.03 New rule produced :
% 38.80/39.03 [182] (b meet A) join complement((a meet A) join (b meet A meet B)) -> one
% 38.80/39.03 Current number of equations to process: 2332
% 38.80/39.03 Current number of ordered equations: 0
% 38.80/39.03 Current number of rules: 179
% 38.80/39.03 New rule produced :
% 38.80/39.03 [183] ((((b meet A) join B) meet b) join C) meet a meet A -> a meet A
% 38.80/39.03 Current number of equations to process: 2331
% 38.80/39.03 Current number of ordered equations: 0
% 38.80/39.03 Current number of rules: 180
% 38.80/39.03 New rule produced :
% 38.80/39.03 [184] a meet complement(((b meet A) join B) meet C) meet A meet C -> zero
% 38.80/39.03 Current number of equations to process: 2328
% 38.80/39.03 Current number of ordered equations: 0
% 38.80/39.03 Current number of rules: 181
% 38.80/39.03 New rule produced :
% 38.80/39.03 [185]
% 38.80/39.03 (((b meet A) join B) meet A) join (a meet A) -> ((b meet A) join B) meet A
% 38.80/39.03 Current number of equations to process: 2326
% 38.80/39.03 Current number of ordered equations: 1
% 38.80/39.03 Current number of rules: 182
% 38.80/39.03 New rule produced :
% 38.80/39.03 [186]
% 38.80/39.03 (((b meet A) join B) meet a) join (a meet A) -> ((b meet A) join B) meet a
% 38.80/39.03 Current number of equations to process: 2326
% 38.80/39.03 Current number of ordered equations: 0
% 38.80/39.03 Current number of rules: 183
% 38.80/39.03 New rule produced :
% 38.80/39.03 [187] ((((a meet A) join B) meet b) join C) meet a meet A -> a meet A
% 38.80/39.03 Current number of equations to process: 2322
% 38.80/39.03 Current number of ordered equations: 3
% 38.80/39.03 Current number of rules: 184
% 38.80/39.03 New rule produced :
% 38.80/39.03 [188] (((a join A) meet b meet B) join C) meet a meet B -> a meet B
% 38.80/39.03 Current number of equations to process: 2322
% 38.80/39.03 Current number of ordered equations: 2
% 38.80/39.03 Current number of rules: 185
% 38.80/39.03 New rule produced :
% 38.80/39.03 [189] ((((b meet A) join B) meet A) join C) meet a meet A -> a meet A
% 38.80/39.03 Current number of equations to process: 2322
% 38.80/39.03 Current number of ordered equations: 1
% 38.80/39.03 Current number of rules: 186
% 38.80/39.03 New rule produced :
% 38.80/39.03 [190] ((((b meet A) join B) meet a) join C) meet a meet A -> a meet A
% 38.80/39.03 Current number of equations to process: 2322
% 38.80/39.03 Current number of ordered equations: 0
% 38.80/39.03 Current number of rules: 187
% 38.80/39.03 New rule produced :
% 38.80/39.03 [191] (((b meet A) join B) meet A) join complement(a meet A meet C) -> one
% 38.80/39.03 Current number of equations to process: 2317
% 38.80/39.03 Current number of ordered equations: 2
% 38.80/39.03 Current number of rules: 188
% 38.80/39.03 New rule produced :
% 38.80/39.03 [192] (((b meet A) join B) meet a) join complement(a meet A meet C) -> one
% 38.80/39.03 Current number of equations to process: 2317
% 38.80/39.03 Current number of ordered equations: 1
% 38.80/39.03 Current number of rules: 189
% 38.80/39.03 New rule produced :
% 38.80/39.03 [193] (((b meet A) join B) meet C) join complement(a meet A meet C) -> one
% 38.80/39.03 Current number of equations to process: 2317
% 38.80/39.03 Current number of ordered equations: 0
% 38.80/39.03 Current number of rules: 190
% 38.80/39.03 New rule produced :
% 38.80/39.03 [194] a meet complement((((b meet A) join B) meet a) join C) meet A -> zero
% 38.80/39.03 Current number of equations to process: 2315
% 38.80/39.03 Current number of ordered equations: 1
% 38.80/39.03 Current number of rules: 191
% 38.80/39.03 New rule produced :
% 38.80/39.03 [195] a meet complement((((b meet A) join B) meet A) join C) meet A -> zero
% 38.80/39.03 Current number of equations to process: 2315
% 38.80/39.03 Current number of ordered equations: 0
% 38.80/39.03 Current number of rules: 192
% 38.80/39.03 New rule produced :
% 38.80/39.03 [196]
% 38.80/39.03 (((b meet A) join B) meet b) join (a meet A) -> ((b meet A) join B) meet b
% 38.80/39.03 Current number of equations to process: 2313
% 38.80/39.03 Current number of ordered equations: 0
% 38.80/39.03 Current number of rules: 193
% 38.80/39.03 New rule produced :
% 38.80/39.03 [197] ((A meet B) join C) meet complement((A join C) meet X) meet X -> zero
% 38.80/39.03 Current number of equations to process: 2309
% 38.80/39.03 Current number of ordered equations: 0
% 38.80/39.03 Current number of rules: 194
% 38.80/39.03 New rule produced :
% 68.10/68.40 [198] complement(((A meet B) join C) meet (A join X)) meet A meet B -> zero
% 68.10/68.40 Current number of equations to process: 2305
% 68.10/68.40 Current number of ordered equations: 2
% 68.10/68.40 Current number of rules: 195
% 68.10/68.40 New rule produced :
% 68.10/68.40 [199] complement((((A join B) meet C) join X) meet A) meet A meet C -> zero
% 68.10/68.40 Current number of equations to process: 2305
% 68.10/68.40 Current number of ordered equations: 1
% 68.10/68.40 Current number of rules: 196
% 68.10/68.40 New rule produced :
% 68.10/68.40 [200] complement((A join B) meet (A join C) meet X) meet A meet X -> zero
% 68.10/68.40 Current number of equations to process: 2305
% 68.10/68.40 Current number of ordered equations: 0
% 68.10/68.40 Current number of rules: 197
% 68.10/68.40 New rule produced :
% 68.10/68.40 [201] (a join A) meet complement((b join A join B) meet C) meet C -> zero
% 68.10/68.40 Current number of equations to process: 2303
% 68.10/68.40 Current number of ordered equations: 0
% 68.10/68.40 Current number of rules: 198
% 68.10/68.40 New rule produced :
% 68.10/68.40 [202] ((a meet A) join B) meet complement((b join B) meet C) meet C -> zero
% 68.10/68.40 Current number of equations to process: 2302
% 68.10/68.40 Current number of ordered equations: 0
% 68.10/68.40 Current number of rules: 199
% 68.10/68.40 New rule produced :
% 68.10/68.40 [203] a meet complement(((a meet A) join B) meet (b join C)) meet A -> zero
% 68.10/68.40 Current number of equations to process: 2298
% 68.10/68.40 Current number of ordered equations: 2
% 68.10/68.40 Current number of rules: 200
% 68.10/68.40 New rule produced :
% 68.10/68.40 [204] a meet complement((((b join A) meet B) join C) meet a) meet B -> zero
% 68.10/68.40 Current number of equations to process: 2298
% 68.10/68.40 Current number of ordered equations: 1
% 68.10/68.40 Current number of rules: 201
% 68.10/68.40 New rule produced :
% 68.10/68.40 [205] a meet complement((a join A) meet (b join B) meet C) meet C -> zero
% 68.10/68.40 Current number of equations to process: 2298
% 68.10/68.40 Current number of ordered equations: 0
% 68.10/68.40 Current number of rules: 202
% 68.10/68.40 New rule produced :
% 68.10/68.40 [206] a meet complement(((b meet A) join B) meet (A join C)) meet A -> zero
% 68.10/68.40 Current number of equations to process: 2294
% 68.10/68.40 Current number of ordered equations: 1
% 68.10/68.40 Current number of rules: 203
% 68.10/68.40 New rule produced :
% 68.10/68.40 [207] a meet complement(((b meet A) join B) meet (a join C)) meet A -> zero
% 68.10/68.40 Current number of equations to process: 2294
% 68.10/68.40 Current number of ordered equations: 0
% 68.10/68.40 Current number of rules: 204
% 68.10/68.40 New rule produced :
% 68.10/68.40 [208]
% 68.10/68.40 ((A join B) meet (C join X)) join (A meet C) -> (A join B) meet (C join X)
% 68.10/68.40 Current number of equations to process: 2293
% 68.10/68.40 Current number of ordered equations: 0
% 68.10/68.40 Current number of rules: 205
% 68.10/68.40 New rule produced :
% 68.10/68.40 [209] ((a join A) meet (b join B)) join a -> (a join A) meet (b join B)
% 68.10/68.40 Current number of equations to process: 2572
% 68.10/68.40 Current number of ordered equations: 0
% 68.10/68.40 Current number of rules: 206
% 68.10/68.40 New rule produced :
% 68.10/68.40 [210] ((A meet B) join (A meet C)) meet A -> (A meet B) join (A meet C)
% 68.10/68.40 Current number of equations to process: 2571
% 68.10/68.40 Current number of ordered equations: 0
% 68.10/68.40 Current number of rules: 207
% 68.10/68.40 New rule produced :
% 68.10/68.40 [211] ((a join A) meet B) join ((b join A) meet B) -> (b join A) meet B
% 68.10/68.40 Current number of equations to process: 2578
% 68.10/68.40 Current number of ordered equations: 0
% 68.10/68.40 Current number of rules: 208
% 68.10/68.40 New rule produced :
% 68.10/68.40 [212] ((A meet B) join C) meet complement(((A join X) meet B) join C) -> zero
% 68.10/68.40 Current number of equations to process: 2577
% 68.10/68.40 Current number of ordered equations: 0
% 68.10/68.40 Current number of rules: 209
% 68.10/68.40 New rule produced :
% 68.10/68.40 [213]
% 68.10/68.40 ((A meet B) join (C meet X)) meet (A join C) -> (A meet B) join (C meet X)
% 68.10/68.40 Current number of equations to process: 2576
% 68.10/68.40 Current number of ordered equations: 0
% 68.10/68.40 Current number of rules: 210
% 68.10/68.40 New rule produced : [214] ((b meet A) join a) meet b -> (b meet A) join a
% 68.10/68.40 Current number of equations to process: 2669
% 68.10/68.40 Current number of ordered equations: 0
% 68.10/68.40 Current number of rules: 211
% 68.10/68.40 New rule produced : [215] (((A meet B) join (A meet C)) meet X) join A -> A
% 68.10/68.40 Current number of equations to process: 4355
% 68.10/68.40 Current number of ordered equations: 0
% 68.10/68.40 Current number of rules: 212
% 68.10/68.40 New rule produced :
% 68.10/68.40 [216] ((a meet A) join (b meet B)) meet b -> (a meet A) join (b meet B)
% 68.10/68.40 Current number of equations to process: 4353
% 68.10/68.40 Current number of ordered equations: 0
% 68.10/68.40 Current number of rules: 213
% 68.10/68.40 New rule produced :
% 68.10/68.40 [217]
% 68.10/68.40 (((a join A) meet B) join b) meet (b join A) -> ((a join A) meet B) join b
% 68.10/68.40 Current number of equations to process: 4414
% 68.10/68.40 Current number of ordered equations: 2
% 274.89/275.19 Current number of rules: 214
% 274.89/275.19 New rule produced :
% 274.89/275.19 [218]
% 274.89/275.19 (((b join A) meet B) join a) meet (b join A) -> ((b join A) meet B) join a
% 274.89/275.19 Current number of equations to process: 4414
% 274.89/275.19 Current number of ordered equations: 1
% 274.89/275.19 Current number of rules: 215
% 274.89/275.19 New rule produced :
% 274.89/275.19 [219] ((b meet A) join a join B) meet (b join B) -> (b meet A) join a join B
% 274.89/275.19 Current number of equations to process: 4414
% 274.89/275.19 Current number of ordered equations: 0
% 274.89/275.19 Current number of rules: 216
% 274.89/275.19 New rule produced :
% 274.89/275.19 [220] ((A join B) meet C) join complement(((A meet X) join B) meet C) -> one
% 274.89/275.19 Current number of equations to process: 4413
% 274.89/275.19 Current number of ordered equations: 0
% 274.89/275.19 Current number of rules: 217
% 274.89/275.19 New rule produced :
% 274.89/275.19 [221] ((A meet B) join C) meet a meet complement((A join C) meet b) -> zero
% 274.89/275.19 Current number of equations to process: 4412
% 274.89/275.19 Current number of ordered equations: 0
% 274.89/275.19 Current number of rules: 218
% 274.89/275.19 New rule produced :
% 274.89/275.19 [222] complement((((A meet B) join C) meet X) join C) join A join C -> one
% 274.89/275.19 Current number of equations to process: 4411
% 274.89/275.19 Current number of ordered equations: 0
% 274.89/275.19 Current number of rules: 219
% 274.89/275.19 New rule produced :
% 274.89/275.19 [223] (((A meet B) join (C meet X)) meet Y) join A join C -> A join C
% 274.89/275.19 Current number of equations to process: 4409
% 274.89/275.19 Current number of ordered equations: 0
% 274.89/275.19 Current number of rules: 220
% 274.89/275.19 New rule produced :
% 274.89/275.19 [224]
% 274.89/275.19 ifeq((a meet A) join complement(b),one,complement(a meet A),complement(b)) ->
% 274.89/275.19 complement(b)
% 274.89/275.19 Current number of equations to process: 4408
% 274.89/275.19 Current number of ordered equations: 0
% 274.89/275.19 Current number of rules: 221
% 274.89/275.19 New rule produced : [225] (((b meet A) join a) meet B) join b -> b
% 274.89/275.19 Current number of equations to process: 4684
% 274.89/275.19 Current number of ordered equations: 0
% 274.89/275.19 Current number of rules: 222
% 274.89/275.19 New rule produced : [226] (((a meet A) join (b meet B)) meet C) join b -> b
% 274.89/275.19 Current number of equations to process: 2406
% 274.89/275.19 Current number of ordered equations: 0
% 274.89/275.19 Current number of rules: 223
% 274.89/275.19 New rule produced :
% 274.89/275.19 [227] (((A meet B) join a) meet C) join b join A -> b join A
% 274.89/275.19 Current number of equations to process: 2682
% 274.89/275.19 Current number of ordered equations: 0
% 274.89/275.19 Current number of rules: 224
% 274.89/275.19 New rule produced :
% 274.89/275.19 [228] ((((a join A) meet B) join b) meet C) join b join A -> b join A
% 274.89/275.19 Current number of equations to process: 2743
% 274.89/275.19 Current number of ordered equations: 2
% 274.89/275.19 Current number of rules: 225
% 274.89/275.19 New rule produced :
% 274.89/275.19 [229] ((((b join A) meet B) join a) meet C) join b join A -> b join A
% 274.89/275.19 Current number of equations to process: 2743
% 274.89/275.19 Current number of ordered equations: 1
% 274.89/275.19 Current number of rules: 226
% 274.89/275.19 New rule produced :
% 274.89/275.19 [230] (((b meet A) join a join B) meet C) join b join B -> b join B
% 274.89/275.19 Current number of equations to process: 2743
% 274.89/275.19 Current number of ordered equations: 0
% 274.89/275.19 Current number of rules: 227
% 274.89/275.19 New rule produced :
% 274.89/275.19 [231] (((a meet A) join (B meet C)) meet X) join b join B -> b join B
% 274.89/275.19 Current number of equations to process: 2741
% 274.89/275.19 Current number of ordered equations: 0
% 274.89/275.19 Current number of rules: 228
% 274.89/275.19 New rule produced :
% 274.89/275.19 [232] ((((A meet B) join C) meet X) join C) meet complement(A join C) -> zero
% 274.89/275.19 Current number of equations to process: 2739
% 274.89/275.19 Current number of ordered equations: 1
% 274.89/275.19 Current number of rules: 229
% 274.89/275.19 New rule produced :
% 274.89/275.19 [233] ((((A meet B) join C) meet X) join A) meet complement(A join C) -> zero
% 274.89/275.19 Current number of equations to process: 2739
% 274.89/275.19 Current number of ordered equations: 0
% 274.89/275.19 Current number of rules: 230
% 274.89/275.19 New rule produced : [234] (((A join B) meet (A join C)) join X) meet A -> A
% 274.89/275.19 Current number of equations to process: 3076
% 274.89/275.19 Current number of ordered equations: 0
% 274.89/275.19 Current number of rules: 231
% 274.89/275.19 New rule produced :
% 274.89/275.19 [235] b join complement(((a join A) meet B) join a) join A -> one
% 274.89/275.19 Current number of equations to process: 3074
% 274.89/275.19 Current number of ordered equations: 1
% 274.89/275.19 Current number of rules: 232
% 274.89/275.19 New rule produced :
% 274.89/275.19 [236] b join complement(((a join A) meet B) join A) join A -> one
% 274.89/275.19 Current number of equations to process: 3074
% 274.89/275.19 Current number of ordered equations: 0
% 274.89/275.19 Current number of rules: 233
% 274.89/275.19 New rule produced :
% 274.89/275.19 [237] b join complement((((a meet A) join B) meet C) join B) join B -> one
% 274.89/275.19 Current number of equations to process: 3135
% 274.89/275.19 Current number of ordered equations: 0
% 274.89/275.19 Current number of ruCputime limit exceeded (core dumped)
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