TSTP Solution File: LAT230-10 by CiME---2.01
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : LAT230-10 : TPTP v7.3.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n192.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 300.10s
% 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 : LAT230-10 : TPTP v7.3.0. Released v7.3.0.
% 0.00/0.05 % Command : tptp2X_and_run_cime %s
% 0.03/0.25 % Computer : n192.star.cs.uiowa.edu
% 0.03/0.25 % Model : x86_64 x86_64
% 0.03/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.25 % Memory : 32218.5MB
% 0.03/0.25 % OS : Linux 3.10.0-862.11.6.el7.x86_64
% 0.03/0.25 % CPULimit : 300
% 0.03/0.25 % DateTime : Thu Feb 21 10:05:15 CST 2019
% 0.03/0.26 % CPUTime :
% 1.20/1.41 Processing problem /tmp/CiME_60567_n192.star.cs.uiowa.edu
% 1.20/1.41 #verbose 1;
% 1.20/1.41 let F = signature " join,meet : AC; a,b,zero,one : constant; complement : 1; ifeq : 4;";
% 1.20/1.41 let X = vars "A B C X Y Z";
% 1.20/1.41 let Axioms = equations F X "
% 1.20/1.41 ifeq(A,A,B,C) = B;
% 1.20/1.41 X meet X = X;
% 1.20/1.41 X join X = X;
% 1.20/1.41 X meet (X join Y) = X;
% 1.20/1.41 X join (X meet Y) = X;
% 1.20/1.41 X join complement(X) = one;
% 1.20/1.41 X meet complement(X) = zero;
% 1.20/1.41 ifeq(X join Y,one,ifeq(X meet Y,zero,complement(X),Y),Y) = Y;
% 1.20/1.41 (X meet Y) join (X meet Z) = X meet ((X meet Y) join ((X meet Z) join (Y meet (X join Z))));
% 1.20/1.41 b meet a = a;
% 1.20/1.41 ";
% 1.20/1.41
% 1.20/1.41 let s1 = status F "
% 1.20/1.41 a lr_lex;
% 1.20/1.41 b lr_lex;
% 1.20/1.41 zero lr_lex;
% 1.20/1.41 one lr_lex;
% 1.20/1.41 complement lr_lex;
% 1.20/1.41 ifeq lr_lex;
% 1.20/1.41 join mul;
% 1.20/1.41 meet mul;
% 1.20/1.41 ";
% 1.20/1.41
% 1.20/1.41 let p1 = precedence F "
% 1.20/1.41 ifeq > complement > meet > join > one > zero > b > a";
% 1.20/1.41
% 1.20/1.41 let s2 = status F "
% 1.20/1.41 a mul;
% 1.20/1.41 b mul;
% 1.20/1.41 zero mul;
% 1.20/1.41 one mul;
% 1.20/1.41 complement mul;
% 1.20/1.41 join mul;
% 1.20/1.41 meet mul;
% 1.20/1.41 ifeq mul;
% 1.20/1.41 ";
% 1.20/1.41
% 1.20/1.41 let p2 = precedence F "
% 1.20/1.41 ifeq > complement > meet > join > one = zero = b = a";
% 1.20/1.41
% 1.20/1.41 let o_auto = AUTO Axioms;
% 1.20/1.41
% 1.20/1.41 let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 1.20/1.41
% 1.20/1.41 let Conjectures = equations F X " complement(b) join complement(a) = complement(a);"
% 1.20/1.41 ;
% 1.20/1.41 (*
% 1.20/1.41 let Red_Axioms = normalize_equations Defining_rules Axioms;
% 1.20/1.41
% 1.20/1.41 let Red_Conjectures = normalize_equations Defining_rules Conjectures;
% 1.20/1.41 *)
% 1.20/1.41 #time on;
% 1.20/1.41
% 1.20/1.41 let res = prove_conj_by_ordered_completion o Axioms Conjectures;
% 1.20/1.41
% 1.20/1.41 #time off;
% 1.20/1.41
% 1.20/1.41
% 1.20/1.41 let status = if res then "unsatisfiable" else "satisfiable";
% 1.20/1.41 #quit;
% 1.20/1.41 Verbose level is now 1
% 1.20/1.41
% 1.20/1.41 F : signature = <signature>
% 1.20/1.41 X : variable_set = <variable set>
% 1.20/1.41
% 1.20/1.41 Axioms : (F,X) equations = { ifeq(A,A,B,C) = B,
% 1.20/1.41 X meet X = X,
% 1.20/1.41 X join X = X,
% 1.20/1.41 (X join Y) meet X = X,
% 1.20/1.41 (X meet Y) join X = X,
% 1.20/1.41 complement(X) join X = one,
% 1.20/1.41 complement(X) meet X = zero,
% 1.20/1.41 ifeq(X join Y,one,ifeq(X meet Y,zero,complement(X),Y),Y)
% 1.20/1.41 = Y,
% 1.20/1.41 (X meet Y) join (X meet Z) =
% 1.20/1.41 (((X join Z) meet Y) join (X meet Y) join
% 1.20/1.41 (X meet Z)) meet X,
% 1.20/1.41 a meet b = a } (10 equation(s))
% 1.20/1.41 s1 : F status = <status>
% 1.20/1.41 p1 : F precedence = <precedence>
% 1.20/1.41 s2 : F status = <status>
% 1.20/1.41 p2 : F precedence = <precedence>
% 1.20/1.41 o_auto : F term_ordering = <term ordering>
% 1.20/1.41 o : F term_ordering = <term ordering>
% 1.20/1.41 Conjectures : (F,X) equations = { complement(a) join complement(b) =
% 1.20/1.41 complement(a) } (1 equation(s))
% 1.20/1.41 time is now on
% 1.20/1.41
% 1.20/1.41 Initializing completion ...
% 1.20/1.41 New rule produced : [1] X join X -> X
% 1.20/1.41 Current number of equations to process: 0
% 1.20/1.41 Current number of ordered equations: 9
% 1.20/1.41 Current number of rules: 1
% 1.20/1.41 New rule produced : [2] X meet X -> X
% 1.20/1.41 Current number of equations to process: 0
% 1.20/1.41 Current number of ordered equations: 8
% 1.20/1.41 Current number of rules: 2
% 1.20/1.41 New rule produced : [3] a meet b -> a
% 1.20/1.41 Current number of equations to process: 0
% 1.20/1.41 Current number of ordered equations: 7
% 1.20/1.41 Current number of rules: 3
% 1.20/1.41 New rule produced : [4] complement(X) join X -> one
% 1.20/1.41 Current number of equations to process: 0
% 1.20/1.41 Current number of ordered equations: 6
% 1.20/1.41 Current number of rules: 4
% 1.20/1.41 New rule produced : [5] complement(X) meet X -> zero
% 1.20/1.41 Current number of equations to process: 0
% 1.20/1.41 Current number of ordered equations: 5
% 1.20/1.41 Current number of rules: 5
% 1.20/1.41 New rule produced : [6] (X meet Y) join X -> X
% 1.20/1.41 Current number of equations to process: 0
% 1.20/1.41 Current number of ordered equations: 4
% 1.20/1.41 Current number of rules: 6
% 1.20/1.41 New rule produced : [7] (X join Y) meet X -> X
% 1.20/1.41 Current number of equations to process: 0
% 1.20/1.41 Current number of ordered equations: 3
% 1.20/1.41 Current number of rules: 7
% 1.20/1.41 New rule produced : [8] ifeq(A,A,B,C) -> B
% 1.20/1.41 Current number of equations to process: 0
% 1.20/1.41 Current number of ordered equations: 2
% 1.20/1.41 Current number of rules: 8
% 1.20/1.41 New rule produced :
% 1.20/1.41 [9] ifeq(X join Y,one,ifeq(X meet Y,zero,complement(X),Y),Y) -> Y
% 1.20/1.41 Current number of equations to process: 0
% 1.20/1.41 Current number of ordered equations: 1
% 1.20/1.41 Current number of rules: 9
% 1.20/1.41 New rule produced :
% 1.20/1.41 [10]
% 1.20/1.41 (((X join Z) meet Y) join (X meet Y) join (X meet Z)) meet X ->
% 1.21/1.53 (X meet Y) join (X meet Z)
% 1.21/1.53 Current number of equations to process: 0
% 1.21/1.53 Current number of ordered equations: 0
% 1.21/1.53 Current number of rules: 10
% 1.21/1.53 New rule produced : [11] one join A -> one
% 1.21/1.53 Current number of equations to process: 22
% 1.21/1.53 Current number of ordered equations: 0
% 1.21/1.53 Current number of rules: 11
% 1.21/1.53 New rule produced : [12] zero meet A -> zero
% 1.21/1.53 Current number of equations to process: 44
% 1.21/1.53 Current number of ordered equations: 0
% 1.21/1.53 Current number of rules: 12
% 1.21/1.53 New rule produced : [13] a meet complement(b) -> zero
% 1.21/1.53 Current number of equations to process: 45
% 1.21/1.53 Current number of ordered equations: 0
% 1.21/1.53 Current number of rules: 13
% 1.21/1.53 New rule produced : [14] a join b -> b
% 1.21/1.53 Current number of equations to process: 63
% 1.21/1.53 Current number of ordered equations: 0
% 1.21/1.53 Current number of rules: 14
% 1.21/1.53 New rule produced : [15] zero join A -> A
% 1.21/1.53 Current number of equations to process: 82
% 1.21/1.53 Current number of ordered equations: 0
% 1.21/1.53 Current number of rules: 15
% 1.21/1.53 New rule produced : [16] one meet A -> A
% 1.21/1.53 Current number of equations to process: 107
% 1.21/1.53 Current number of ordered equations: 0
% 1.21/1.53 Current number of rules: 16
% 1.21/1.53 New rule produced : [17] (a meet A) join b -> b
% 1.21/1.53 Current number of equations to process: 137
% 1.21/1.53 Current number of ordered equations: 0
% 1.21/1.53 Current number of rules: 17
% 1.21/1.53 New rule produced : [18] (b join A) meet a -> a
% 1.21/1.53 Current number of equations to process: 136
% 1.21/1.53 Current number of ordered equations: 0
% 1.21/1.53 Current number of rules: 18
% 1.21/1.53 New rule produced : [19] complement(A meet B) join A -> one
% 1.21/1.53 Current number of equations to process: 129
% 1.21/1.53 Current number of ordered equations: 0
% 1.21/1.53 Current number of rules: 19
% 1.21/1.53 New rule produced : [20] complement(A join B) meet A -> zero
% 1.21/1.53 Current number of equations to process: 124
% 1.21/1.53 Current number of ordered equations: 0
% 1.21/1.53 Current number of rules: 20
% 1.21/1.53 New rule produced : [21] a meet complement(b meet A) meet A -> zero
% 1.21/1.53 Current number of equations to process: 115
% 1.21/1.53 Current number of ordered equations: 0
% 1.21/1.53 Current number of rules: 21
% 1.21/1.53 New rule produced : [22] (a meet A) join (b meet A) -> b meet A
% 1.21/1.53 Current number of equations to process: 113
% 1.21/1.53 Current number of ordered equations: 0
% 1.21/1.53 Current number of rules: 22
% 1.21/1.53 New rule produced : [23] (a meet A meet B) join (b meet B) -> b meet B
% 1.21/1.53 Current number of equations to process: 96
% 1.21/1.53 Current number of ordered equations: 0
% 1.21/1.53 Current number of rules: 23
% 1.21/1.53 New rule produced : [24] complement((A meet B) join C) join A join C -> one
% 1.21/1.53 Current number of equations to process: 95
% 1.21/1.53 Current number of ordered equations: 0
% 1.21/1.53 Current number of rules: 24
% 1.21/1.53 New rule produced : [25] ((b meet A) join B) meet a meet A -> a meet A
% 1.21/1.53 Current number of equations to process: 94
% 1.21/1.53 Current number of ordered equations: 0
% 1.21/1.53 Current number of rules: 25
% 1.21/1.53 New rule produced : [26] complement((A join B) meet C) meet A meet C -> zero
% 1.21/1.53 Current number of equations to process: 93
% 1.21/1.53 Current number of ordered equations: 0
% 1.21/1.53 Current number of rules: 26
% 1.21/1.53 New rule produced :
% 1.21/1.53 [27] ((A join B) meet C) join (A meet C) -> (A join B) meet C
% 1.21/1.53 Rule
% 1.21/1.53 [10]
% 1.21/1.53 (((X join Z) meet Y) join (X meet Y) join (X meet Z)) meet X ->
% 1.21/1.53 (X meet Y) join (X meet Z) collapsed.
% 1.21/1.53 Current number of equations to process: 85
% 1.21/1.53 Current number of ordered equations: 1
% 1.21/1.53 Current number of rules: 26
% 1.21/1.53 New rule produced :
% 1.21/1.53 [28]
% 1.21/1.53 (((X join Z) meet Y) join (X meet Z)) meet X -> (X meet Y) join (X meet Z)
% 1.21/1.53 Current number of equations to process: 84
% 1.21/1.53 Current number of ordered equations: 1
% 1.21/1.53 Current number of rules: 27
% 1.21/1.53 New rule produced :
% 1.21/1.53 [29] ((A meet B) join C) meet (A join C) -> (A meet B) join C
% 1.21/1.53 Current number of equations to process: 84
% 1.21/1.53 Current number of ordered equations: 0
% 1.21/1.53 Current number of rules: 28
% 1.21/1.53 New rule produced :
% 1.21/1.53 [30] (((A meet B) join C) meet X) join A join C -> A join C
% 1.21/1.53 Current number of equations to process: 80
% 1.21/1.53 Current number of ordered equations: 0
% 1.21/1.53 Current number of rules: 29
% 1.21/1.53 New rule produced :
% 1.21/1.53 [31] complement(((A join B) meet C) join B) join A join B -> one
% 1.21/1.53 Current number of equations to process: 78
% 1.21/1.53 Current number of ordered equations: 0
% 1.21/1.53 Current number of rules: 30
% 1.21/1.53 New rule produced :
% 1.21/1.53 [32] (((A join B) meet C) join X) meet A meet C -> A meet C
% 1.21/1.53 Current number of equations to process: 76
% 1.21/1.53 Current number of ordered equations: 0
% 1.21/1.53 Current number of rules: 31
% 1.79/2.06 New rule produced :
% 1.79/2.06 [33] complement(((A meet B) join C) meet B) meet A meet B -> zero
% 1.79/2.06 Current number of equations to process: 74
% 1.79/2.06 Current number of ordered equations: 0
% 1.79/2.06 Current number of rules: 32
% 1.79/2.06 New rule produced :
% 1.79/2.06 [34] ((A join B) meet C) join (A meet C meet X) -> (A join B) meet C
% 1.79/2.06 Current number of equations to process: 58
% 1.79/2.06 Current number of ordered equations: 1
% 1.79/2.06 Current number of rules: 33
% 1.79/2.06 New rule produced :
% 1.79/2.06 [35] ((A meet B) join C) meet (A join C join X) -> (A meet B) join C
% 1.79/2.06 Current number of equations to process: 58
% 1.79/2.06 Current number of ordered equations: 0
% 1.79/2.06 Current number of rules: 34
% 1.79/2.06 New rule produced : [36] complement(complement(A)) -> A
% 1.79/2.06 Current number of equations to process: 83
% 1.79/2.06 Current number of ordered equations: 0
% 1.79/2.06 Current number of rules: 35
% 1.79/2.06 New rule produced : [37] ifeq(A,zero,complement(one),A) -> A
% 1.79/2.06 Current number of equations to process: 131
% 1.79/2.06 Current number of ordered equations: 1
% 1.79/2.06 Current number of rules: 36
% 1.79/2.06 New rule produced : [38] ifeq(A,zero,complement(A),one) -> one
% 1.79/2.06 Current number of equations to process: 131
% 1.79/2.06 Current number of ordered equations: 0
% 1.79/2.06 Current number of rules: 37
% 1.79/2.06 New rule produced : [39] ifeq(A,one,complement(zero),A) -> A
% 1.79/2.06 Current number of equations to process: 133
% 1.79/2.06 Current number of ordered equations: 1
% 1.79/2.06 Current number of rules: 38
% 1.79/2.06 New rule produced : [40] ifeq(A,one,complement(A),zero) -> zero
% 1.79/2.06 Current number of equations to process: 133
% 1.79/2.06 Current number of ordered equations: 0
% 1.79/2.06 Current number of rules: 39
% 1.79/2.06 New rule produced : [41] b join complement(a) -> one
% 1.79/2.06 Current number of equations to process: 150
% 1.79/2.06 Current number of ordered equations: 0
% 1.79/2.06 Current number of rules: 40
% 1.79/2.06 New rule produced : [42] ifeq(a join complement(b),one,b,a) -> a
% 1.79/2.06 Current number of equations to process: 148
% 1.79/2.06 Current number of ordered equations: 0
% 1.79/2.06 Current number of rules: 41
% 1.79/2.06 New rule produced : [43] b join complement(a join A) join A -> one
% 1.79/2.06 Current number of equations to process: 147
% 1.79/2.06 Current number of ordered equations: 0
% 1.79/2.06 Current number of rules: 42
% 1.79/2.06 New rule produced : [44] (a join A) meet (b join A) -> a join A
% 1.79/2.06 Current number of equations to process: 146
% 1.79/2.06 Current number of ordered equations: 0
% 1.79/2.06 Current number of rules: 43
% 1.79/2.06 New rule produced : [45] complement(zero) -> one
% 1.79/2.06 Rule [39] ifeq(A,one,complement(zero),A) -> A collapsed.
% 1.79/2.06 Current number of equations to process: 154
% 1.79/2.06 Current number of ordered equations: 0
% 1.79/2.06 Current number of rules: 43
% 1.79/2.06 New rule produced : [46] ifeq(A,one,one,A) -> A
% 1.79/2.06 Current number of equations to process: 152
% 1.79/2.06 Current number of ordered equations: 0
% 1.79/2.06 Current number of rules: 44
% 1.79/2.06 New rule produced : [47] complement(one) -> zero
% 1.79/2.06 Rule [37] ifeq(A,zero,complement(one),A) -> A collapsed.
% 1.79/2.06 Current number of equations to process: 154
% 1.79/2.06 Current number of ordered equations: 0
% 1.79/2.06 Current number of rules: 44
% 1.79/2.06 New rule produced : [48] ifeq(A,zero,zero,A) -> A
% 1.79/2.06 Current number of equations to process: 152
% 1.79/2.06 Current number of ordered equations: 0
% 1.79/2.06 Current number of rules: 45
% 1.79/2.06 New rule produced : [49] b join complement(a meet A) -> one
% 1.79/2.06 Current number of equations to process: 161
% 1.79/2.06 Current number of ordered equations: 0
% 1.79/2.06 Current number of rules: 46
% 1.79/2.06 New rule produced : [50] a meet complement(b join A) -> zero
% 1.79/2.06 Current number of equations to process: 176
% 1.79/2.06 Current number of ordered equations: 0
% 1.79/2.06 Current number of rules: 47
% 1.79/2.06 New rule produced : [51] (b meet A) join complement(a meet A) -> one
% 1.79/2.06 Current number of equations to process: 201
% 1.79/2.06 Current number of ordered equations: 0
% 1.79/2.06 Current number of rules: 48
% 1.79/2.06 New rule produced : [52] (a join A) meet complement(b join A) -> zero
% 1.79/2.06 Current number of equations to process: 294
% 1.79/2.06 Current number of ordered equations: 0
% 1.79/2.06 Current number of rules: 49
% 1.79/2.06 New rule produced : [53] a meet complement((a join A) meet b) -> zero
% 1.79/2.06 Current number of equations to process: 293
% 1.79/2.06 Current number of ordered equations: 0
% 1.79/2.06 Current number of rules: 50
% 1.79/2.06 New rule produced : [54] ifeq(A,one,ifeq(A,zero,complement(A),A),A) -> A
% 1.79/2.06 Current number of equations to process: 292
% 1.79/2.06 Current number of ordered equations: 0
% 1.79/2.06 Current number of rules: 51
% 1.79/2.06 New rule produced : [55] ifeq(b,one,ifeq(a,zero,complement(a),b),b) -> b
% 1.79/2.06 Current number of equations to process: 290
% 1.79/2.06 Current number of ordered equations: 1
% 3.71/3.99 Current number of rules: 52
% 3.71/3.99 New rule produced : [56] ifeq(b,one,ifeq(a,zero,complement(b),a),a) -> a
% 3.71/3.99 Current number of equations to process: 290
% 3.71/3.99 Current number of ordered equations: 0
% 3.71/3.99 Current number of rules: 53
% 3.71/3.99 New rule produced : [57] ((a join A) meet B) join b join A -> b join A
% 3.71/3.99 Current number of equations to process: 286
% 3.71/3.99 Current number of ordered equations: 0
% 3.71/3.99 Current number of rules: 54
% 3.71/3.99 New rule produced : [58] (a join A) meet (b join A join B) -> a join A
% 3.71/3.99 Current number of equations to process: 285
% 3.71/3.99 Current number of ordered equations: 0
% 3.71/3.99 Current number of rules: 55
% 3.71/3.99 New rule produced : [59] b join complement((a meet A) join B) join B -> one
% 3.71/3.99 Current number of equations to process: 284
% 3.71/3.99 Current number of ordered equations: 0
% 3.71/3.99 Current number of rules: 56
% 3.71/3.99 New rule produced : [60] a meet complement((b join A) meet B) meet B -> zero
% 3.71/3.99 Current number of equations to process: 283
% 3.71/3.99 Current number of ordered equations: 0
% 3.71/3.99 Current number of rules: 57
% 3.71/3.99 New rule produced : [61] (b meet A) join complement(a meet A meet B) -> one
% 3.71/3.99 Current number of equations to process: 281
% 3.71/3.99 Current number of ordered equations: 0
% 3.71/3.99 Current number of rules: 58
% 3.71/3.99 New rule produced : [62] ((A join B) meet C) join complement(A meet C) -> one
% 3.71/3.99 Current number of equations to process: 280
% 3.71/3.99 Current number of ordered equations: 0
% 3.71/3.99 Current number of rules: 59
% 3.71/3.99 New rule produced : [63] b join complement((a join A) meet B) join A -> one
% 3.71/3.99 Current number of equations to process: 279
% 3.71/3.99 Current number of ordered equations: 0
% 3.71/3.99 Current number of rules: 60
% 3.71/3.99 New rule produced : [64] ((b join A) meet B) join complement(a meet B) -> one
% 3.71/3.99 Current number of equations to process: 278
% 3.71/3.99 Current number of ordered equations: 0
% 3.71/3.99 Current number of rules: 61
% 3.71/3.99 New rule produced : [65] a meet complement((b meet A) join B) meet A -> zero
% 3.71/3.99 Current number of equations to process: 277
% 3.71/3.99 Current number of ordered equations: 0
% 3.71/3.99 Current number of rules: 62
% 3.71/3.99 New rule produced :
% 3.71/3.99 [66] ((A meet B) join C) meet complement(A join C) -> zero
% 3.71/3.99 Current number of equations to process: 276
% 3.71/3.99 Current number of ordered equations: 0
% 3.71/3.99 Current number of rules: 63
% 3.71/3.99 New rule produced : [67] (a join A) meet complement(b join A join B) -> zero
% 3.71/3.99 Current number of equations to process: 274
% 3.71/3.99 Current number of ordered equations: 0
% 3.71/3.99 Current number of rules: 64
% 3.71/3.99 New rule produced :
% 3.71/3.99 [68] ((a meet A) join B) meet complement(b join B) -> zero
% 3.71/3.99 Current number of equations to process: 273
% 3.71/3.99 Current number of ordered equations: 0
% 3.71/3.99 Current number of rules: 65
% 3.71/3.99 New rule produced : [69] a meet complement((A join B) meet b) meet A -> zero
% 3.71/3.99 Current number of equations to process: 271
% 3.71/3.99 Current number of ordered equations: 0
% 3.71/3.99 Current number of rules: 66
% 3.71/3.99 New rule produced :
% 3.71/3.99 [70]
% 3.71/3.99 ifeq(a join complement(b),one,complement(a),complement(b)) -> complement(b)
% 3.71/3.99 Current number of equations to process: 270
% 3.71/3.99 Current number of ordered equations: 0
% 3.71/3.99 Current number of rules: 67
% 3.71/3.99 New rule produced : [71] ((a join A) meet b) join a -> (a join A) meet b
% 3.71/3.99 Current number of equations to process: 325
% 3.71/3.99 Current number of ordered equations: 0
% 3.71/3.99 Current number of rules: 68
% 3.71/3.99 New rule produced :
% 3.71/3.99 [72] ((a meet A) join B) meet (b join B) -> (a meet A) join B
% 3.71/3.99 Current number of equations to process: 383
% 3.71/3.99 Current number of ordered equations: 0
% 3.71/3.99 Current number of rules: 69
% 3.71/3.99 New rule produced :
% 3.71/3.99 [73] ((b join A) meet B) join (a meet B) -> (b join A) meet B
% 3.71/3.99 Current number of equations to process: 382
% 3.71/3.99 Current number of ordered equations: 0
% 3.71/3.99 Current number of rules: 70
% 3.71/3.99 New rule produced :
% 3.71/3.99 [74] ((a join A) meet b) join (a meet B) -> (a join A) meet b
% 3.71/3.99 Current number of equations to process: 380
% 3.71/3.99 Current number of ordered equations: 1
% 3.71/3.99 Current number of rules: 71
% 3.71/3.99 New rule produced :
% 3.71/3.99 [75] ((A join B) meet b) join (a meet A) -> (A join B) meet b
% 3.71/3.99 Current number of equations to process: 380
% 3.71/3.99 Current number of ordered equations: 0
% 3.71/3.99 Current number of rules: 72
% 3.71/3.99 New rule produced : [76] complement((A meet B) join (A meet C)) join A -> one
% 3.71/3.99 Current number of equations to process: 489
% 3.71/3.99 Current number of ordered equations: 0
% 3.71/3.99 Current number of rules: 73
% 3.71/3.99 New rule produced : [77] b join complement((b meet A) join a) -> one
% 18.80/19.02 Current number of equations to process: 594
% 18.80/19.02 Current number of ordered equations: 0
% 18.80/19.02 Current number of rules: 74
% 18.80/19.02 New rule produced : [78] (((a join A) meet b) join B) meet a -> a
% 18.80/19.02 Current number of equations to process: 738
% 18.80/19.02 Current number of ordered equations: 0
% 18.80/19.02 Current number of rules: 75
% 18.80/19.02 New rule produced : [79] b join complement((A meet B) join a) join A -> one
% 18.80/19.02 Current number of equations to process: 736
% 18.80/19.02 Current number of ordered equations: 0
% 18.80/19.02 Current number of rules: 76
% 18.80/19.02 New rule produced : [80] b join complement((a meet A) join (b meet B)) -> one
% 18.80/19.02 Current number of equations to process: 735
% 18.80/19.02 Current number of ordered equations: 0
% 18.80/19.02 Current number of rules: 77
% 18.80/19.02 New rule produced :
% 18.80/19.02 [81] complement((A join B) meet (A join C)) meet A -> zero
% 18.80/19.02 Current number of equations to process: 1011
% 18.80/19.02 Current number of ordered equations: 0
% 18.80/19.02 Current number of rules: 78
% 18.80/19.02 New rule produced :
% 18.80/19.02 [82] a meet complement((a join A) meet (b join B)) -> zero
% 18.80/19.02 Current number of equations to process: 1417
% 18.80/19.02 Current number of ordered equations: 0
% 18.80/19.02 Current number of rules: 79
% 18.80/19.02 New rule produced :
% 18.80/19.02 [83] (((a meet B) join A) meet C) join b join A -> b join A
% 18.80/19.02 Current number of equations to process: 1415
% 18.80/19.02 Current number of ordered equations: 0
% 18.80/19.02 Current number of rules: 80
% 18.80/19.02 New rule produced :
% 18.80/19.02 [84] (((b join B) meet A) join C) meet a meet A -> a meet A
% 18.80/19.02 Current number of equations to process: 1413
% 18.80/19.02 Current number of ordered equations: 0
% 18.80/19.02 Current number of rules: 81
% 18.80/19.02 New rule produced :
% 18.80/19.02 [85] complement(((A meet B) join C) meet X) join A join C -> one
% 18.80/19.02 Current number of equations to process: 1411
% 18.80/19.02 Current number of ordered equations: 0
% 18.80/19.02 Current number of rules: 82
% 18.80/19.02 New rule produced :
% 18.80/19.02 [86] ((A join B) meet C) join complement(A meet C meet X) -> one
% 18.80/19.02 Current number of equations to process: 1408
% 18.80/19.02 Current number of ordered equations: 1
% 18.80/19.02 Current number of rules: 83
% 18.80/19.02 New rule produced :
% 18.80/19.02 [87] (((A meet B) join C) meet B) join complement(A meet B) -> one
% 18.80/19.02 Current number of equations to process: 1408
% 18.80/19.02 Current number of ordered equations: 0
% 18.80/19.02 Current number of rules: 84
% 18.80/19.02 New rule produced :
% 18.80/19.02 [88] ifeq(complement(A meet B) meet A,zero,A meet B,A) -> A
% 18.80/19.02 Current number of equations to process: 1407
% 18.80/19.02 Current number of ordered equations: 0
% 18.80/19.02 Current number of rules: 85
% 18.80/19.02 New rule produced :
% 18.80/19.02 [89] b join complement(((a meet A) join B) meet C) join B -> one
% 18.80/19.02 Current number of equations to process: 1405
% 18.80/19.02 Current number of ordered equations: 0
% 18.80/19.02 Current number of rules: 86
% 18.80/19.02 New rule produced :
% 18.80/19.02 [90] ((b join A) meet B) join complement(a meet B meet C) -> one
% 18.80/19.02 Current number of equations to process: 1403
% 18.80/19.02 Current number of ordered equations: 0
% 18.80/19.02 Current number of rules: 87
% 18.80/19.02 New rule produced :
% 18.80/19.02 [91] ((A meet B) join C) meet complement(A join C join X) -> zero
% 18.80/19.02 Current number of equations to process: 1399
% 18.80/19.02 Current number of ordered equations: 1
% 18.80/19.02 Current number of rules: 88
% 18.80/19.02 New rule produced :
% 18.80/19.02 [92] (((A join B) meet C) join B) meet complement(A join B) -> zero
% 18.80/19.02 Current number of equations to process: 1399
% 18.80/19.02 Current number of ordered equations: 0
% 18.80/19.02 Current number of rules: 89
% 18.80/19.02 New rule produced :
% 18.80/19.02 [93] complement(((A join B) meet C) join X) meet A meet C -> zero
% 18.80/19.02 Current number of equations to process: 1398
% 18.80/19.02 Current number of ordered equations: 0
% 18.80/19.02 Current number of rules: 90
% 18.80/19.02 New rule produced :
% 18.80/19.02 [94] ifeq(complement(A join B) join A,one,A join B,A) -> A
% 18.80/19.02 Current number of equations to process: 1397
% 18.80/19.02 Current number of ordered equations: 0
% 18.80/19.02 Current number of rules: 91
% 18.80/19.02 New rule produced :
% 18.80/19.02 [95] ((a meet A) join B) meet complement(b join B join C) -> zero
% 18.80/19.02 Current number of equations to process: 1394
% 18.80/19.02 Current number of ordered equations: 0
% 18.80/19.02 Current number of rules: 92
% 18.80/19.02 New rule produced :
% 18.80/19.02 [96] a meet complement(((b join A) meet B) join C) meet B -> zero
% 18.80/19.02 Current number of equations to process: 1393
% 18.80/19.02 Current number of ordered equations: 0
% 18.80/19.02 Current number of rules: 93
% 18.80/19.02 New rule produced :
% 18.80/19.02 [97] a meet complement(((a meet A) join B) meet b) meet A -> zero
% 18.80/19.02 Current number of equations to process: 1390
% 18.80/19.02 Current number of ordered equations: 1
% 18.80/19.02 Current number of rules: 94
% 18.80/19.02 New rule produced :
% 18.80/19.02 [98] (b meet A) join complement((a meet A) join B) join B -> one
% 18.80/19.02 Current number of equations to process: 1389
% 20.29/20.51 Current number of ordered equations: 1
% 20.29/20.51 Current number of rules: 95
% 20.29/20.51 New rule produced :
% 20.29/20.51 [99] ((a meet A) join B) meet complement((b meet A) join B) -> zero
% 20.29/20.51 Current number of equations to process: 1387
% 20.29/20.51 Current number of ordered equations: 1
% 20.29/20.51 Current number of rules: 96
% 20.29/20.51 New rule produced :
% 20.29/20.51 [100] complement((A meet B) join (C meet X)) join A join C -> one
% 20.29/20.51 Current number of equations to process: 1384
% 20.29/20.51 Current number of ordered equations: 1
% 20.29/20.51 Current number of rules: 97
% 20.29/20.51 New rule produced :
% 20.29/20.51 [101] b join complement(((a join A) meet B) join b) join A -> one
% 20.29/20.51 Current number of equations to process: 1380
% 20.29/20.51 Current number of ordered equations: 3
% 20.29/20.51 Current number of rules: 98
% 20.29/20.51 New rule produced :
% 20.29/20.51 [102] b join complement(((b join A) meet B) join a) join A -> one
% 20.29/20.51 Current number of equations to process: 1380
% 20.29/20.51 Current number of ordered equations: 2
% 20.29/20.51 Current number of rules: 99
% 20.29/20.51 New rule produced :
% 20.29/20.51 [103] b join complement((b meet A) join a join B) join B -> one
% 20.29/20.51 Current number of equations to process: 1380
% 20.29/20.51 Current number of ordered equations: 1
% 20.29/20.51 Current number of rules: 100
% 20.29/20.51 New rule produced :
% 20.29/20.51 [104] b join complement((a meet A) join (B meet C)) join B -> one
% 20.29/20.51 Current number of equations to process: 1378
% 20.29/20.51 Current number of ordered equations: 1
% 20.29/20.51 Current number of rules: 101
% 20.29/20.51 New rule produced :
% 20.29/20.51 [105] a meet complement(((b meet A) join B) meet a) meet A -> zero
% 20.29/20.51 Current number of equations to process: 1374
% 20.29/20.51 Current number of ordered equations: 2
% 20.29/20.51 Current number of rules: 102
% 20.29/20.51 New rule produced :
% 20.29/20.51 [106] a meet complement(((b meet A) join B) meet A) meet A -> zero
% 20.29/20.51 Current number of equations to process: 1374
% 20.29/20.51 Current number of ordered equations: 1
% 20.29/20.51 Current number of rules: 103
% 20.29/20.51 New rule produced :
% 20.29/20.51 [107] (((A join B) meet b) join C) meet a meet A -> a meet A
% 20.29/20.51 Current number of equations to process: 1372
% 20.29/20.51 Current number of ordered equations: 1
% 20.29/20.51 Current number of rules: 104
% 20.29/20.51 New rule produced :
% 20.29/20.51 [108] (((b meet A) join B) meet a) join complement(a meet A) -> one
% 20.29/20.51 Current number of equations to process: 1370
% 20.29/20.51 Current number of ordered equations: 2
% 20.29/20.51 Current number of rules: 105
% 20.29/20.51 New rule produced :
% 20.29/20.51 [109] (((b meet A) join B) meet A) join complement(a meet A) -> one
% 20.29/20.51 Current number of equations to process: 1370
% 20.29/20.51 Current number of ordered equations: 1
% 20.29/20.51 Current number of rules: 106
% 20.29/20.51 New rule produced :
% 20.29/20.51 [110] a meet complement(((b meet A) join B) meet b) meet A -> zero
% 20.29/20.51 Current number of equations to process: 1369
% 20.29/20.51 Current number of ordered equations: 1
% 20.29/20.51 Current number of rules: 107
% 20.29/20.51 New rule produced :
% 20.29/20.51 [111] a meet complement((a join A) meet b meet B) meet B -> zero
% 20.29/20.51 Current number of equations to process: 1367
% 20.29/20.51 Current number of ordered equations: 0
% 20.29/20.51 Current number of rules: 108
% 20.29/20.51 New rule produced :
% 20.29/20.51 [112] complement((A join B) meet (C join X)) meet A meet C -> zero
% 20.29/20.51 Current number of equations to process: 1365
% 20.29/20.51 Current number of ordered equations: 0
% 20.29/20.51 Current number of rules: 109
% 20.29/20.51 New rule produced :
% 20.29/20.51 [113] (a join A) meet complement((b join A) meet B) meet B -> zero
% 20.29/20.51 Current number of equations to process: 1364
% 20.29/20.51 Current number of ordered equations: 0
% 20.29/20.51 Current number of rules: 110
% 20.29/20.51 New rule produced :
% 20.29/20.51 [114] a meet complement((b join A) meet (B join C)) meet B -> zero
% 20.29/20.51 Current number of equations to process: 1362
% 20.29/20.51 Current number of ordered equations: 0
% 20.29/20.51 Current number of rules: 111
% 20.29/20.51 New rule produced :
% 20.29/20.51 [115] ((A join B) meet (A join C)) join A -> (A join B) meet (A join C)
% 20.29/20.51 Current number of equations to process: 1609
% 20.29/20.51 Current number of ordered equations: 0
% 20.29/20.51 Current number of rules: 112
% 20.29/20.51 New rule produced :
% 20.29/20.51 [116] ((a join A) meet (b join B)) join a -> (a join A) meet (b join B)
% 20.29/20.51 Current number of equations to process: 1608
% 20.29/20.51 Current number of ordered equations: 0
% 20.29/20.51 Current number of rules: 113
% 20.29/20.51 New rule produced :
% 20.29/20.51 [117] ifeq((A meet B) join complement(B),one,B,A meet B) -> A meet B
% 20.29/20.51 Current number of equations to process: 1607
% 20.29/20.51 Current number of ordered equations: 0
% 20.29/20.51 Current number of rules: 114
% 20.29/20.51 New rule produced :
% 20.29/20.51 [118] ifeq((a meet A) join complement(b),one,b,a meet A) -> a meet A
% 20.29/20.51 Current number of equations to process: 1606
% 20.29/20.51 Current number of ordered equations: 0
% 20.29/20.51 Current number of rules: 115
% 26.40/26.69 New rule produced :
% 26.40/26.69 [119] ((a meet A) join B) meet (b join B join C) -> (a meet A) join B
% 26.40/26.69 Current number of equations to process: 1603
% 26.40/26.69 Current number of ordered equations: 0
% 26.40/26.69 Current number of rules: 116
% 26.40/26.69 New rule produced :
% 26.40/26.69 [120] ((b join A) meet B) join (a meet B meet C) -> (b join A) meet B
% 26.40/26.69 Current number of equations to process: 1602
% 26.40/26.69 Current number of ordered equations: 0
% 26.40/26.69 Current number of rules: 117
% 26.40/26.69 New rule produced :
% 26.40/26.69 [121] ((a meet A) join B) meet ((b meet A) join B) -> (a meet A) join B
% 26.40/26.69 Current number of equations to process: 1601
% 26.40/26.69 Current number of ordered equations: 0
% 26.40/26.69 Current number of rules: 118
% 26.40/26.69 New rule produced :
% 26.40/26.69 [122] ((A join B) meet b) join (a meet A meet C) -> (A join B) meet b
% 26.40/26.69 Current number of equations to process: 1600
% 26.40/26.69 Current number of ordered equations: 0
% 26.40/26.69 Current number of rules: 119
% 26.40/26.69 New rule produced :
% 26.40/26.69 [123] ((a join A) meet B) join ((b join A) meet B) -> (b join A) meet B
% 26.40/26.69 Current number of equations to process: 1599
% 26.40/26.69 Current number of ordered equations: 0
% 26.40/26.69 Current number of rules: 120
% 26.40/26.69 New rule produced : [124] ((b meet A) join a) meet b -> (b meet A) join a
% 26.40/26.69 Current number of equations to process: 1799
% 26.40/26.69 Current number of ordered equations: 0
% 26.40/26.69 Current number of rules: 121
% 26.40/26.69 New rule produced : [125] ((b meet A) join a) meet A -> b meet A
% 26.40/26.69 Current number of equations to process: 1990
% 26.40/26.69 Current number of ordered equations: 0
% 26.40/26.69 Current number of rules: 122
% 26.40/26.69 New rule produced :
% 26.40/26.69 [126] ((A meet B) join (A meet C)) meet complement(A) -> zero
% 26.40/26.69 Current number of equations to process: 2073
% 26.40/26.69 Current number of ordered equations: 0
% 26.40/26.69 Current number of rules: 123
% 26.40/26.69 New rule produced : [127] ((A meet B) join (B meet C)) meet A -> A meet B
% 26.40/26.69 Current number of equations to process: 2071
% 26.40/26.69 Current number of ordered equations: 0
% 26.40/26.69 Current number of rules: 124
% 26.40/26.69 New rule produced :
% 26.40/26.69 [128] ((a meet A) join (a meet B)) meet complement(b) -> zero
% 26.40/26.69 Current number of equations to process: 2070
% 26.40/26.69 Current number of ordered equations: 0
% 26.40/26.69 Current number of rules: 125
% 26.40/26.69 New rule produced : [129] ((a meet A) join (b meet B)) meet B -> b meet B
% 26.40/26.69 Current number of equations to process: 2069
% 26.40/26.69 Current number of ordered equations: 0
% 26.40/26.69 Current number of rules: 126
% 26.40/26.69 New rule produced :
% 26.40/26.69 [130] ((complement(A) meet B) join (complement(A) meet C)) meet A -> zero
% 26.40/26.69 Current number of equations to process: 2172
% 26.40/26.69 Current number of ordered equations: 0
% 26.40/26.69 Current number of rules: 127
% 26.40/26.69 New rule produced : [131] (((A meet B) join (A meet C)) meet X) join A -> A
% 26.40/26.69 Current number of equations to process: 2171
% 26.40/26.69 Current number of ordered equations: 0
% 26.40/26.69 Current number of rules: 128
% 26.40/26.69 New rule produced :
% 26.40/26.69 [132] (((A join B) meet C) join A) meet C -> (A join B) meet C
% 26.40/26.69 Current number of equations to process: 2170
% 26.40/26.69 Current number of ordered equations: 0
% 26.40/26.69 Current number of rules: 129
% 26.40/26.69 New rule produced :
% 26.40/26.69 [133] ((complement(b) meet A) join (complement(b) meet B)) meet a -> zero
% 26.40/26.69 Current number of equations to process: 2169
% 26.40/26.69 Current number of ordered equations: 0
% 26.40/26.69 Current number of rules: 130
% 26.40/26.69 New rule produced : [134] (((a meet A) join (a meet B)) meet C) join b -> b
% 26.40/26.69 Current number of equations to process: 2168
% 26.40/26.69 Current number of ordered equations: 0
% 26.40/26.69 Current number of rules: 131
% 26.40/26.69 New rule produced :
% 26.40/26.69 [135] (((b join A) meet B) join a) meet B -> (b join A) meet B
% 26.40/26.69 Current number of equations to process: 2166
% 26.40/26.69 Current number of ordered equations: 0
% 26.40/26.69 Current number of rules: 132
% 26.40/26.69 New rule produced : [136] ((b meet A) join (A meet B)) meet a -> a meet A
% 26.40/26.69 Current number of equations to process: 2601
% 26.40/26.69 Current number of ordered equations: 0
% 26.40/26.69 Current number of rules: 133
% 26.40/26.69 New rule produced :
% 26.40/26.69 [137] ((A meet B) join (B meet C)) meet B -> (A meet B) join (B meet C)
% 26.40/26.69 Current number of equations to process: 2759
% 26.40/26.69 Current number of ordered equations: 0
% 26.40/26.69 Current number of rules: 134
% 26.40/26.69 New rule produced :
% 26.40/26.69 [138] ((a meet A) join (a meet B)) meet b -> (a meet A) join (a meet B)
% 26.40/26.69 Current number of equations to process: 2756
% 26.40/26.69 Current number of ordered equations: 1
% 26.40/26.69 Current number of rules: 135
% 26.40/26.69 New rule produced :
% 26.40/26.69 [139] ((a meet A) join (b meet B)) meet b -> (a meet A) join (b meet B)
% 26.40/26.69 Current number of equations to process: 2756
% 26.40/26.69 Current number of ordered equaCputime limit exceeded (core dumped)
%------------------------------------------------------------------------------