TSTP Solution File: LAT183-10 by CiME---2.01
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%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : LAT183-10 : TPTP v7.3.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n190.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 300.04s
% 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 : LAT183-10 : TPTP v7.3.0. Released v7.3.0.
% 0.00/0.05 % Command : tptp2X_and_run_cime %s
% 0.04/0.27 % Computer : n190.star.cs.uiowa.edu
% 0.04/0.27 % Model : x86_64 x86_64
% 0.04/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.04/0.27 % Memory : 32218.5MB
% 0.04/0.27 % OS : Linux 3.10.0-862.11.6.el7.x86_64
% 0.04/0.27 % CPULimit : 300
% 0.04/0.27 % DateTime : Thu Feb 21 09:16:11 CST 2019
% 0.04/0.27 % CPUTime :
% 1.19/1.49 Processing problem /tmp/CiME_1660_n190.star.cs.uiowa.edu
% 1.19/1.49 #verbose 1;
% 1.19/1.49 let F = signature " join,meet : AC; c,b,a,zero,one : constant; complement : 1; ifeq : 4;";
% 1.19/1.49 let X = vars "A B C X Y Z";
% 1.19/1.49 let Axioms = equations F X "
% 1.19/1.49 ifeq(A,A,B,C) = B;
% 1.19/1.49 X meet X = X;
% 1.19/1.49 X join X = X;
% 1.19/1.49 X meet (X join Y) = X;
% 1.19/1.49 X join (X meet Y) = X;
% 1.19/1.49 X join complement(X) = one;
% 1.19/1.49 X meet complement(X) = zero;
% 1.19/1.49 ifeq(X join Y,one,ifeq(X meet Y,zero,complement(X),Y),Y) = Y;
% 1.19/1.49 X meet (Y join (X meet Z)) = X meet (Y join (X meet ((X meet Y) join (Z meet (X join Y)))));
% 1.19/1.49 ";
% 1.19/1.49
% 1.19/1.49 let s1 = status F "
% 1.19/1.49 c lr_lex;
% 1.19/1.49 b lr_lex;
% 1.19/1.49 a lr_lex;
% 1.19/1.49 zero lr_lex;
% 1.19/1.49 one lr_lex;
% 1.19/1.49 complement lr_lex;
% 1.19/1.49 ifeq lr_lex;
% 1.19/1.49 join mul;
% 1.19/1.49 meet mul;
% 1.19/1.49 ";
% 1.19/1.49
% 1.19/1.49 let p1 = precedence F "
% 1.19/1.49 ifeq > complement > meet > join > one > zero > a > b > c";
% 1.19/1.49
% 1.19/1.49 let s2 = status F "
% 1.19/1.49 c mul;
% 1.19/1.49 b mul;
% 1.19/1.49 a mul;
% 1.19/1.49 zero mul;
% 1.19/1.49 one mul;
% 1.19/1.49 complement mul;
% 1.19/1.49 join mul;
% 1.19/1.49 meet mul;
% 1.19/1.49 ifeq mul;
% 1.19/1.49 ";
% 1.19/1.49
% 1.19/1.49 let p2 = precedence F "
% 1.19/1.49 ifeq > complement > meet > join > one = zero = a = b = c";
% 1.19/1.49
% 1.19/1.49 let o_auto = AUTO Axioms;
% 1.19/1.49
% 1.19/1.49 let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 1.19/1.49
% 1.19/1.49 let Conjectures = equations F X " a meet (b join c) = (a meet b) join (a meet c);"
% 1.19/1.49 ;
% 1.19/1.49 (*
% 1.19/1.49 let Red_Axioms = normalize_equations Defining_rules Axioms;
% 1.19/1.49
% 1.19/1.49 let Red_Conjectures = normalize_equations Defining_rules Conjectures;
% 1.19/1.49 *)
% 1.19/1.49 #time on;
% 1.19/1.49
% 1.19/1.49 let res = prove_conj_by_ordered_completion o Axioms Conjectures;
% 1.19/1.49
% 1.19/1.49 #time off;
% 1.19/1.49
% 1.19/1.49
% 1.19/1.49 let status = if res then "unsatisfiable" else "satisfiable";
% 1.19/1.49 #quit;
% 1.19/1.49 Verbose level is now 1
% 1.19/1.49
% 1.19/1.49 F : signature = <signature>
% 1.19/1.49 X : variable_set = <variable set>
% 1.19/1.49
% 1.19/1.49 Axioms : (F,X) equations = { ifeq(A,A,B,C) = B,
% 1.19/1.49 X meet X = X,
% 1.19/1.49 X join X = X,
% 1.19/1.49 (X join Y) meet X = X,
% 1.19/1.49 (X meet Y) join X = X,
% 1.19/1.49 complement(X) join X = one,
% 1.19/1.49 complement(X) meet X = zero,
% 1.19/1.49 ifeq(X join Y,one,ifeq(X meet Y,zero,complement(X),Y),Y)
% 1.19/1.49 = Y,
% 1.19/1.49 ((X meet Z) join Y) meet X =
% 1.19/1.49 (((((X join Y) meet Z) join (X meet Y)) meet X) join Y) meet X }
% 1.19/1.49 (9 equation(s))
% 1.19/1.49 s1 : F status = <status>
% 1.19/1.49 p1 : F precedence = <precedence>
% 1.19/1.49 s2 : F status = <status>
% 1.19/1.49 p2 : F precedence = <precedence>
% 1.19/1.49 o_auto : F term_ordering = <term ordering>
% 1.19/1.49 o : F term_ordering = <term ordering>
% 1.19/1.49 Conjectures : (F,X) equations = { (c join b) meet a =
% 1.19/1.49 (c meet a) join (b meet a) }
% 1.19/1.49 (1 equation(s))
% 1.19/1.49 time is now on
% 1.19/1.49
% 1.19/1.49 Initializing completion ...
% 1.19/1.49 New rule produced : [1] X join X -> X
% 1.19/1.49 Current number of equations to process: 0
% 1.19/1.49 Current number of ordered equations: 8
% 1.19/1.49 Current number of rules: 1
% 1.19/1.49 New rule produced : [2] X meet X -> X
% 1.19/1.49 Current number of equations to process: 0
% 1.19/1.49 Current number of ordered equations: 7
% 1.19/1.49 Current number of rules: 2
% 1.19/1.49 New rule produced : [3] complement(X) join X -> one
% 1.19/1.49 Current number of equations to process: 0
% 1.19/1.49 Current number of ordered equations: 6
% 1.19/1.49 Current number of rules: 3
% 1.19/1.49 New rule produced : [4] complement(X) meet X -> zero
% 1.19/1.49 Current number of equations to process: 0
% 1.19/1.49 Current number of ordered equations: 5
% 1.19/1.49 Current number of rules: 4
% 1.19/1.49 New rule produced : [5] ifeq(A,A,B,C) -> B
% 1.19/1.49 Current number of equations to process: 0
% 1.19/1.49 Current number of ordered equations: 4
% 1.19/1.49 Current number of rules: 5
% 1.19/1.49 New rule produced : [6] (X meet Y) join X -> X
% 1.19/1.49 Current number of equations to process: 0
% 1.19/1.49 Current number of ordered equations: 3
% 1.19/1.49 Current number of rules: 6
% 1.19/1.49 New rule produced : [7] (X join Y) meet X -> X
% 1.19/1.49 Current number of equations to process: 0
% 1.19/1.49 Current number of ordered equations: 2
% 1.19/1.49 Current number of rules: 7
% 1.19/1.49 New rule produced :
% 1.19/1.49 [8] ifeq(X join Y,one,ifeq(X meet Y,zero,complement(X),Y),Y) -> Y
% 1.19/1.49 Current number of equations to process: 0
% 1.19/1.49 Current number of ordered equations: 1
% 1.19/1.49 Current number of rules: 8
% 1.19/1.49 New rule produced :
% 1.19/1.49 [9]
% 1.19/1.49 (((((X join Y) meet Z) join (X meet Y)) meet X) join Y) meet X ->
% 1.19/1.49 ((X meet Z) join Y) meet X
% 1.19/1.49 Current number of equations to process: 0
% 1.19/1.49 Current number of ordered equations: 0
% 1.19/1.49 Current number of rules: 9
% 1.19/1.49 New rule produced : [10] one join A -> one
% 1.21/1.63 Current number of equations to process: 22
% 1.21/1.63 Current number of ordered equations: 0
% 1.21/1.63 Current number of rules: 10
% 1.21/1.63 New rule produced : [11] zero meet A -> zero
% 1.21/1.63 Current number of equations to process: 44
% 1.21/1.63 Current number of ordered equations: 0
% 1.21/1.63 Current number of rules: 11
% 1.21/1.63 New rule produced : [12] zero join A -> A
% 1.21/1.63 Current number of equations to process: 72
% 1.21/1.63 Current number of ordered equations: 0
% 1.21/1.63 Current number of rules: 12
% 1.21/1.63 New rule produced : [13] one meet A -> A
% 1.21/1.63 Current number of equations to process: 93
% 1.21/1.63 Current number of ordered equations: 0
% 1.21/1.63 Current number of rules: 13
% 1.21/1.63 New rule produced : [14] complement(A meet B) join A -> one
% 1.21/1.63 Current number of equations to process: 119
% 1.21/1.63 Current number of ordered equations: 0
% 1.21/1.63 Current number of rules: 14
% 1.21/1.63 New rule produced : [15] complement(A join B) meet A -> zero
% 1.21/1.63 Current number of equations to process: 114
% 1.21/1.63 Current number of ordered equations: 0
% 1.21/1.63 Current number of rules: 15
% 1.21/1.63 New rule produced : [16] complement((A meet B) join C) join A join C -> one
% 1.21/1.63 Current number of equations to process: 91
% 1.21/1.63 Current number of ordered equations: 0
% 1.21/1.63 Current number of rules: 16
% 1.21/1.63 New rule produced : [17] complement((A join B) meet C) meet A meet C -> zero
% 1.21/1.63 Current number of equations to process: 90
% 1.21/1.63 Current number of ordered equations: 0
% 1.21/1.63 Current number of rules: 17
% 1.21/1.63 New rule produced :
% 1.21/1.63 [18] ((A join B) meet C) join (A meet C) -> (A join B) meet C
% 1.21/1.63 Current number of equations to process: 82
% 1.21/1.63 Current number of ordered equations: 1
% 1.21/1.63 Current number of rules: 18
% 1.21/1.63 New rule produced :
% 1.21/1.63 [19] ((A meet B) join C) meet (A join C) -> (A meet B) join C
% 1.21/1.63 Current number of equations to process: 82
% 1.21/1.63 Current number of ordered equations: 0
% 1.21/1.63 Current number of rules: 19
% 1.21/1.63 New rule produced :
% 1.21/1.63 [20] (((A meet B) join C) meet X) join A join C -> A join C
% 1.21/1.63 Current number of equations to process: 78
% 1.21/1.63 Current number of ordered equations: 0
% 1.21/1.63 Current number of rules: 20
% 1.21/1.63 New rule produced :
% 1.21/1.63 [21] complement(((A join B) meet C) join B) join A join B -> one
% 1.21/1.63 Current number of equations to process: 76
% 1.21/1.63 Current number of ordered equations: 0
% 1.21/1.63 Current number of rules: 21
% 1.21/1.63 New rule produced :
% 1.21/1.63 [22] (((A join B) meet C) join X) meet A meet C -> A meet C
% 1.21/1.63 Current number of equations to process: 74
% 1.21/1.63 Current number of ordered equations: 0
% 1.21/1.63 Current number of rules: 22
% 1.21/1.63 New rule produced :
% 1.21/1.63 [23] complement(((A meet B) join C) meet B) meet A meet B -> zero
% 1.21/1.63 Current number of equations to process: 72
% 1.21/1.63 Current number of ordered equations: 0
% 1.21/1.63 Current number of rules: 23
% 1.21/1.63 New rule produced :
% 1.21/1.63 [24] ((A join B) meet C) join (A meet C meet X) -> (A join B) meet C
% 1.21/1.63 Current number of equations to process: 58
% 1.21/1.63 Current number of ordered equations: 1
% 1.21/1.63 Current number of rules: 24
% 1.21/1.63 New rule produced :
% 1.21/1.63 [25] ((A meet B) join C) meet (A join C join X) -> (A meet B) join C
% 1.21/1.63 Current number of equations to process: 58
% 1.21/1.63 Current number of ordered equations: 0
% 1.21/1.63 Current number of rules: 25
% 1.21/1.63 New rule produced : [26] complement(complement(A)) -> A
% 1.21/1.63 Current number of equations to process: 75
% 1.21/1.63 Current number of ordered equations: 0
% 1.21/1.63 Current number of rules: 26
% 1.21/1.63 New rule produced : [27] ifeq(A,one,ifeq(A,zero,complement(A),A),A) -> A
% 1.21/1.63 Current number of equations to process: 119
% 1.21/1.63 Current number of ordered equations: 0
% 1.21/1.63 Current number of rules: 27
% 1.21/1.63 New rule produced :
% 1.21/1.63 [28] ifeq((A meet B) join complement(B),one,B,A meet B) -> A meet B
% 1.21/1.63 Current number of equations to process: 118
% 1.21/1.63 Current number of ordered equations: 0
% 1.21/1.63 Current number of rules: 28
% 1.21/1.63 New rule produced :
% 1.21/1.63 [29] ((((A join B) meet C) join B) meet X) join A join B -> A join B
% 1.21/1.63 Current number of equations to process: 115
% 1.21/1.63 Current number of ordered equations: 0
% 1.21/1.63 Current number of rules: 29
% 1.21/1.63 New rule produced :
% 1.21/1.63 [30] ((((A meet B) join C) meet B) join X) meet A meet B -> A meet B
% 1.21/1.63 Current number of equations to process: 113
% 1.21/1.63 Current number of ordered equations: 0
% 1.21/1.63 Current number of rules: 30
% 1.21/1.63 New rule produced :
% 1.21/1.63 [31]
% 1.21/1.63 (((A join B) meet C) join B) meet (A join B) -> ((A join B) meet C) join B
% 1.21/1.63 Current number of equations to process: 108
% 1.21/1.63 Current number of ordered equations: 1
% 1.21/1.63 Current number of rules: 31
% 1.21/1.63 New rule produced :
% 1.21/1.63 [32]
% 1.21/1.63 (((A meet B) join C) meet B) join (A meet B) -> ((A meet B) join C) meet B
% 3.06/3.34 Current number of equations to process: 108
% 3.06/3.34 Current number of ordered equations: 0
% 3.06/3.34 Current number of rules: 32
% 3.06/3.34 New rule produced :
% 3.06/3.34 [33] ifeq(A join B,one,ifeq(B,zero,complement(A join B),B),B) -> B
% 3.06/3.34 Current number of equations to process: 107
% 3.06/3.34 Current number of ordered equations: 0
% 3.06/3.34 Current number of rules: 33
% 3.06/3.34 New rule produced :
% 3.06/3.34 [34] ifeq(A,one,ifeq(A meet B,zero,complement(A meet B),A),A) -> A
% 3.06/3.34 Current number of equations to process: 106
% 3.06/3.34 Current number of ordered equations: 0
% 3.06/3.34 Current number of rules: 34
% 3.06/3.34 New rule produced :
% 3.06/3.34 [35]
% 3.06/3.34 ifeq((complement(A) join B) meet A,zero,complement(complement(A) join B),A)
% 3.06/3.34 -> A
% 3.06/3.34 Current number of equations to process: 105
% 3.06/3.34 Current number of ordered equations: 0
% 3.06/3.34 Current number of rules: 35
% 3.06/3.34 New rule produced :
% 3.06/3.34 [36]
% 3.06/3.34 ifeq((complement(A) meet B) join A,one,complement(complement(A) meet B),A) ->
% 3.06/3.34 A
% 3.06/3.34 Current number of equations to process: 104
% 3.06/3.34 Current number of ordered equations: 0
% 3.06/3.34 Current number of rules: 36
% 3.06/3.34 New rule produced :
% 3.06/3.34 [37]
% 3.06/3.34 ifeq((A join B) meet complement(B),zero,complement(A join B),complement(B))
% 3.06/3.34 -> complement(B)
% 3.06/3.34 Current number of equations to process: 99
% 3.06/3.34 Current number of ordered equations: 0
% 3.06/3.34 Current number of rules: 37
% 3.06/3.34 New rule produced :
% 3.06/3.34 [38]
% 3.06/3.34 ifeq((A meet B) join complement(B),one,complement(A meet B),complement(B)) ->
% 3.06/3.34 complement(B)
% 3.06/3.34 Current number of equations to process: 98
% 3.06/3.34 Current number of ordered equations: 0
% 3.06/3.34 Current number of rules: 38
% 3.06/3.34 New rule produced :
% 3.06/3.34 [39] ifeq((A join B) meet complement(B),zero,B,A join B) -> A join B
% 3.06/3.34 Current number of equations to process: 93
% 3.06/3.34 Current number of ordered equations: 0
% 3.06/3.34 Current number of rules: 39
% 3.06/3.34 New rule produced :
% 3.06/3.34 [40]
% 3.06/3.34 ifeq((complement(A) join B) meet A,zero,complement(A),complement(A) join B)
% 3.06/3.34 -> complement(A) join B
% 3.06/3.34 Current number of equations to process: 92
% 3.06/3.34 Current number of ordered equations: 0
% 3.06/3.34 Current number of rules: 40
% 3.06/3.34 New rule produced :
% 3.06/3.34 [41]
% 3.06/3.34 ifeq((complement(A) meet B) join A,one,complement(A),complement(A) meet B) ->
% 3.06/3.34 complement(A) meet B
% 3.06/3.34 Current number of equations to process: 91
% 3.06/3.34 Current number of ordered equations: 0
% 3.06/3.34 Current number of rules: 41
% 3.06/3.34 New rule produced :
% 3.06/3.34 [42]
% 3.06/3.34 complement(((A join B) meet C) join B join X) join A join B join X -> one
% 3.06/3.34 Current number of equations to process: 90
% 3.06/3.34 Current number of ordered equations: 0
% 3.06/3.34 Current number of rules: 42
% 3.06/3.34 New rule produced :
% 3.06/3.34 [43]
% 3.06/3.34 complement(((A meet B) join C) meet B meet X) meet A meet B meet X -> zero
% 3.06/3.34 Current number of equations to process: 89
% 3.06/3.34 Current number of ordered equations: 0
% 3.06/3.34 Current number of rules: 43
% 3.06/3.34 New rule produced :
% 3.06/3.34 [44]
% 3.06/3.34 (((A join B) meet C) join B) meet (A join B join X) ->
% 3.06/3.34 ((A join B) meet C) join B
% 3.06/3.34 Current number of equations to process: 85
% 3.06/3.34 Current number of ordered equations: 1
% 3.06/3.34 Current number of rules: 44
% 3.06/3.34 New rule produced :
% 3.06/3.34 [45]
% 3.06/3.34 (((A meet B) join C) meet B) join (A meet B meet X) ->
% 3.06/3.34 ((A meet B) join C) meet B
% 3.06/3.34 Current number of equations to process: 85
% 3.06/3.34 Current number of ordered equations: 0
% 3.06/3.34 Current number of rules: 45
% 3.06/3.34 New rule produced :
% 3.06/3.34 [46]
% 3.06/3.34 ifeq(A join B,one,ifeq(B,zero,complement(B),A join B),A join B) -> A join B
% 3.06/3.34 Current number of equations to process: 72
% 3.06/3.34 Current number of ordered equations: 0
% 3.06/3.34 Current number of rules: 46
% 3.06/3.34 New rule produced :
% 3.06/3.34 [47]
% 3.06/3.34 ifeq(A,one,ifeq(A meet B,zero,complement(A),A meet B),A meet B) -> A meet B
% 3.06/3.34 Current number of equations to process: 71
% 3.06/3.34 Current number of ordered equations: 0
% 3.06/3.34 Current number of rules: 47
% 3.06/3.34 New rule produced :
% 3.06/3.34 [48] ((((A meet B) join (B meet C)) meet C) join B) meet C -> B meet C
% 3.06/3.34 Current number of equations to process: 249
% 3.06/3.34 Current number of ordered equations: 0
% 3.06/3.34 Current number of rules: 48
% 3.06/3.34 New rule produced : [49] ifeq(A,zero,complement(A),one) -> one
% 3.06/3.34 Current number of equations to process: 267
% 3.06/3.34 Current number of ordered equations: 1
% 3.06/3.34 Current number of rules: 49
% 3.06/3.34 New rule produced : [50] ifeq(A,zero,complement(one),A) -> A
% 3.06/3.34 Current number of equations to process: 267
% 3.06/3.34 Current number of ordered equations: 0
% 3.06/3.34 Current number of rules: 50
% 3.06/3.34 New rule produced : [51] ifeq(A,one,complement(A),zero) -> zero
% 3.06/3.34 Current number of equations to process: 268
% 3.06/3.34 Current number of ordered equations: 1
% 3.06/3.34 Current number of rules: 51
% 18.76/19.04 New rule produced : [52] ifeq(A,one,complement(zero),A) -> A
% 18.76/19.04 Current number of equations to process: 268
% 18.76/19.04 Current number of ordered equations: 0
% 18.76/19.04 Current number of rules: 52
% 18.76/19.04 New rule produced : [53] complement(zero) -> one
% 18.76/19.04 Rule [52] ifeq(A,one,complement(zero),A) -> A collapsed.
% 18.76/19.04 Current number of equations to process: 269
% 18.76/19.04 Current number of ordered equations: 0
% 18.76/19.04 Current number of rules: 52
% 18.76/19.04 New rule produced : [54] ifeq(A,one,one,A) -> A
% 18.76/19.04 Current number of equations to process: 267
% 18.76/19.04 Current number of ordered equations: 0
% 18.76/19.04 Current number of rules: 53
% 18.76/19.04 New rule produced : [55] complement(one) -> zero
% 18.76/19.04 Rule [50] ifeq(A,zero,complement(one),A) -> A collapsed.
% 18.76/19.04 Current number of equations to process: 269
% 18.76/19.04 Current number of ordered equations: 0
% 18.76/19.04 Current number of rules: 53
% 18.76/19.04 New rule produced : [56] ifeq(A,zero,zero,A) -> A
% 18.76/19.04 Current number of equations to process: 267
% 18.76/19.04 Current number of ordered equations: 0
% 18.76/19.04 Current number of rules: 54
% 18.76/19.04 New rule produced : [57] ((A join B) meet C) join complement(A meet C) -> one
% 18.76/19.04 Current number of equations to process: 300
% 18.76/19.04 Current number of ordered equations: 0
% 18.76/19.04 Current number of rules: 55
% 18.76/19.04 New rule produced :
% 18.76/19.04 [58] ((A meet B) join C) meet complement(A join C) -> zero
% 18.76/19.04 Current number of equations to process: 379
% 18.76/19.04 Current number of ordered equations: 0
% 18.76/19.04 Current number of rules: 56
% 18.76/19.04 New rule produced : [59] complement((A meet B) join (A meet C)) join A -> one
% 18.76/19.04 Current number of equations to process: 473
% 18.76/19.04 Current number of ordered equations: 0
% 18.76/19.04 Current number of rules: 57
% 18.76/19.04 New rule produced :
% 18.76/19.04 [60] complement(((A meet B) join C) meet X) join A join C -> one
% 18.76/19.04 Current number of equations to process: 536
% 18.76/19.04 Current number of ordered equations: 0
% 18.76/19.04 Current number of rules: 58
% 18.76/19.04 New rule produced :
% 18.76/19.04 [61] ((A join B) meet C) join complement(A meet C meet X) -> one
% 18.76/19.04 Current number of equations to process: 533
% 18.76/19.04 Current number of ordered equations: 1
% 18.76/19.04 Current number of rules: 59
% 18.76/19.04 New rule produced :
% 18.76/19.04 [62] (((A meet B) join C) meet B) join complement(A meet B) -> one
% 18.76/19.04 Current number of equations to process: 533
% 18.76/19.04 Current number of ordered equations: 0
% 18.76/19.04 Current number of rules: 60
% 18.76/19.04 New rule produced :
% 18.76/19.04 [63] ifeq(complement(A meet B) meet A,zero,A meet B,A) -> A
% 18.76/19.04 Current number of equations to process: 532
% 18.76/19.04 Current number of ordered equations: 0
% 18.76/19.04 Current number of rules: 61
% 18.76/19.04 New rule produced :
% 18.76/19.04 [64] ((A meet B) join C) meet complement(A join C join X) -> zero
% 18.76/19.04 Current number of equations to process: 529
% 18.76/19.04 Current number of ordered equations: 1
% 18.76/19.04 Current number of rules: 62
% 18.76/19.04 New rule produced :
% 18.76/19.04 [65] (((A join B) meet C) join B) meet complement(A join B) -> zero
% 18.76/19.04 Current number of equations to process: 529
% 18.76/19.04 Current number of ordered equations: 0
% 18.76/19.04 Current number of rules: 63
% 18.76/19.04 New rule produced :
% 18.76/19.04 [66] complement(((A join B) meet C) join X) meet A meet C -> zero
% 18.76/19.04 Current number of equations to process: 528
% 18.76/19.04 Current number of ordered equations: 0
% 18.76/19.04 Current number of rules: 64
% 18.76/19.04 New rule produced :
% 18.76/19.04 [67] ifeq(complement(A join B) join A,one,A join B,A) -> A
% 18.76/19.04 Current number of equations to process: 527
% 18.76/19.04 Current number of ordered equations: 0
% 18.76/19.04 Current number of rules: 65
% 18.76/19.04 New rule produced :
% 18.76/19.04 [68] complement((A meet B) join (C meet X)) join A join C -> one
% 18.76/19.04 Current number of equations to process: 525
% 18.76/19.04 Current number of ordered equations: 0
% 18.76/19.04 Current number of rules: 66
% 18.76/19.04 New rule produced :
% 18.76/19.04 [69] complement((A join B) meet (A join C)) meet A -> zero
% 18.76/19.04 Current number of equations to process: 754
% 18.76/19.04 Current number of ordered equations: 0
% 18.76/19.04 Current number of rules: 67
% 18.76/19.04 New rule produced :
% 18.76/19.04 [70] complement((A join B) meet (C join X)) meet A meet C -> zero
% 18.76/19.04 Current number of equations to process: 816
% 18.76/19.04 Current number of ordered equations: 0
% 18.76/19.04 Current number of rules: 68
% 18.76/19.04 New rule produced :
% 18.76/19.04 [71] ((A join B) meet (A join C)) join A -> (A join B) meet (A join C)
% 18.76/19.04 Current number of equations to process: 979
% 18.76/19.04 Current number of ordered equations: 0
% 18.76/19.04 Current number of rules: 69
% 18.76/19.04 New rule produced :
% 18.76/19.04 [72] complement((((A join B) meet C) join B) meet X) join A join B -> one
% 18.76/19.04 Current number of equations to process: 985
% 18.76/19.04 Current number of ordered equations: 0
% 18.76/19.04 Current number of rules: 70
% 18.76/19.04 New rule produced :
% 18.76/19.04 [73] (((A meet B) join C) meet B) join complement(A meet B meet X) -> one
% 36.73/37.05 Current number of equations to process: 982
% 36.73/37.05 Current number of ordered equations: 0
% 36.73/37.05 Current number of rules: 71
% 36.73/37.05 New rule produced :
% 36.73/37.05 [74] (((A join B) meet C) join B) meet complement(A join B join X) -> zero
% 36.73/37.05 Current number of equations to process: 979
% 36.73/37.05 Current number of ordered equations: 0
% 36.73/37.05 Current number of rules: 72
% 36.73/37.05 New rule produced :
% 36.73/37.05 [75] complement((((A meet B) join C) meet B) join X) meet A meet B -> zero
% 36.73/37.05 Current number of equations to process: 977
% 36.73/37.05 Current number of ordered equations: 0
% 36.73/37.05 Current number of rules: 73
% 36.73/37.05 New rule produced :
% 36.73/37.05 [76] complement(((A join B) meet C) join (A meet X)) join A join B -> one
% 36.73/37.05 Current number of equations to process: 973
% 36.73/37.05 Current number of ordered equations: 2
% 36.73/37.05 Current number of rules: 74
% 36.73/37.05 New rule produced :
% 36.73/37.05 [77] complement((((A meet B) join C) meet X) join A) join A join C -> one
% 36.73/37.05 Current number of equations to process: 973
% 36.73/37.05 Current number of ordered equations: 1
% 36.73/37.05 Current number of rules: 75
% 36.73/37.05 New rule produced :
% 36.73/37.05 [78] complement((A meet B) join (A meet C) join X) join A join X -> one
% 36.73/37.05 Current number of equations to process: 973
% 36.73/37.05 Current number of ordered equations: 0
% 36.73/37.05 Current number of rules: 76
% 36.73/37.05 New rule produced :
% 36.73/37.05 [79] ((A join B) meet C) join complement((A meet C) join X) join X -> one
% 36.73/37.05 Current number of equations to process: 972
% 36.73/37.05 Current number of ordered equations: 0
% 36.73/37.05 Current number of rules: 77
% 36.73/37.05 New rule produced :
% 36.73/37.05 [80] ((A meet B) join C) meet complement((A join C) meet X) meet X -> zero
% 36.73/37.05 Current number of equations to process: 970
% 36.73/37.05 Current number of ordered equations: 0
% 36.73/37.05 Current number of rules: 78
% 36.73/37.05 New rule produced :
% 36.73/37.05 [81] complement((A join B) meet (A join C) meet X) meet A meet X -> zero
% 36.73/37.05 Current number of equations to process: 966
% 36.73/37.05 Current number of ordered equations: 2
% 36.73/37.05 Current number of rules: 79
% 36.73/37.05 New rule produced :
% 36.73/37.05 [82] complement(((A meet B) join C) meet (A join X)) meet A meet B -> zero
% 36.73/37.05 Current number of equations to process: 966
% 36.73/37.05 Current number of ordered equations: 1
% 36.73/37.05 Current number of rules: 80
% 36.73/37.05 New rule produced :
% 36.73/37.05 [83] complement((((A join B) meet C) join X) meet A) meet A meet C -> zero
% 36.73/37.05 Current number of equations to process: 966
% 36.73/37.05 Current number of ordered equations: 0
% 36.73/37.05 Current number of rules: 81
% 36.73/37.05 New rule produced :
% 36.73/37.05 [84]
% 36.73/37.05 ((A join B) meet (C join X)) join (A meet C) -> (A join B) meet (C join X)
% 36.73/37.05 Current number of equations to process: 965
% 36.73/37.05 Current number of ordered equations: 0
% 36.73/37.05 Current number of rules: 82
% 36.73/37.05 New rule produced :
% 36.73/37.05 [85] ((A meet B) join (A meet C)) meet A -> (A meet B) join (A meet C)
% 36.73/37.05 Current number of equations to process: 1119
% 36.73/37.05 Current number of ordered equations: 0
% 36.73/37.05 Current number of rules: 83
% 36.73/37.05 New rule produced :
% 36.73/37.05 [86] ((A meet B) join C) meet complement(((A join X) meet B) join C) -> zero
% 36.73/37.05 Current number of equations to process: 1126
% 36.73/37.05 Current number of ordered equations: 0
% 36.73/37.05 Current number of rules: 84
% 36.73/37.05 New rule produced :
% 36.73/37.05 [87]
% 36.73/37.05 ((A meet B) join (C meet X)) meet (A join C) -> (A meet B) join (C meet X)
% 36.73/37.05 Current number of equations to process: 1125
% 36.73/37.05 Current number of ordered equations: 0
% 36.73/37.05 Current number of rules: 85
% 36.73/37.05 New rule produced :
% 36.73/37.05 [88] (((A meet B) join C) meet A) join C -> (A meet B) join C
% 36.73/37.05 Current number of equations to process: 1260
% 36.73/37.05 Current number of ordered equations: 0
% 36.73/37.05 Current number of rules: 86
% 36.73/37.05 New rule produced : [89] (((A meet B) join (A meet C)) meet X) join A -> A
% 36.73/37.05 Rule [48] ((((A meet B) join (B meet C)) meet C) join B) meet C -> B meet C
% 36.73/37.05 collapsed.
% 36.73/37.05 Current number of equations to process: 2808
% 36.73/37.05 Current number of ordered equations: 0
% 36.73/37.05 Current number of rules: 86
% 36.73/37.05 New rule produced :
% 36.73/37.05 [90] ((A join B) meet C) join complement(((A meet X) join B) meet C) -> one
% 36.73/37.05 Current number of equations to process: 2871
% 36.73/37.05 Current number of ordered equations: 0
% 36.73/37.05 Current number of rules: 87
% 36.73/37.05 New rule produced :
% 36.73/37.05 [91] complement((((A meet B) join C) meet X) join C) join A join C -> one
% 36.73/37.05 Current number of equations to process: 2869
% 36.73/37.05 Current number of ordered equations: 0
% 36.73/37.05 Current number of rules: 88
% 36.73/37.05 New rule produced :
% 36.73/37.05 [92] (((A meet B) join (C meet X)) meet Y) join A join C -> A join C
% 36.73/37.05 Current number of equations to process: 2867
% 36.73/37.05 Current number of ordered equatio
%------------------------------------------------------------------------------