%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : REL044-1 : TPTP v6.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n034.star.cs.uiowa.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory   : 16127.75MB
% OS       : Linux 2.6.32-431.11.2.el6.x86_64
% CPULimit : 300s
% DateTime : Tue Jun 10 00:31:32 EDT 2014

% Result   : Timeout 300.02s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : REL044-1 : TPTP v6.0.0. Released v4.0.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n034.star.cs.uiowa.edu
% % Model    : x86_64 x86_64
% % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory   : 16127.75MB
% % OS       : Linux 2.6.32-431.11.2.el6.x86_64
% % CPULimit : 300
% % DateTime : Fri Jun  6 02:52:43 CDT 2014
% % CPUTime  : 300.02 
% Processing problem /tmp/CiME_31584_n034.star.cs.uiowa.edu
% #verbose 1;
% let F = signature "  join : AC; sk3,sk2,sk1,zero,top,one : constant;  converse : 1;  composition : 2;  meet : 2;  complement : 1;";
% let X = vars "A B C";
% let Axioms = equations F X "
% composition(composition(A,B),C) = composition(A,composition(B,C));
% A = complement(complement(A) join complement(B)) join complement(complement(A) join B);
% meet(A,B) = complement(complement(A) join complement(B));
% composition(A,one) = A;
% composition(A join B,C) = composition(A,C) join composition(B,C);
% converse(converse(A)) = A;
% converse(A join B) = converse(A) join converse(B);
% converse(composition(A,B)) = composition(converse(B),converse(A));
% composition(converse(A),complement(composition(A,B))) join complement(B) = complement(B);
% top = A join complement(A);
% zero = meet(A,complement(A));
% composition(complement(sk1),sk2) join complement(sk3) = complement(sk3);
% ";
% 
% let s1 = status F "
% sk3 lr_lex;
% sk2 lr_lex;
% sk1 lr_lex;
% zero lr_lex;
% top lr_lex;
% converse lr_lex;
% one lr_lex;
% meet lr_lex;
% complement lr_lex;
% composition mul;
% join mul;
% ";
% 
% let p1 = precedence F "
% meet > composition > complement > converse > join > one > top > zero > sk1 > sk2 > sk3";
% 
% let s2 = status F "
% sk3 mul;
% sk2 mul;
% sk1 mul;
% zero mul;
% top mul;
% converse mul;
% one mul;
% composition mul;
% meet mul;
% complement mul;
% join mul;
% ";
% 
% let p2 = precedence F "
% meet > composition > complement > converse > join > one = top = zero = sk1 = sk2 = sk3";
% 
% let o_auto = AUTO Axioms;
% 
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 
% let Conjectures = equations F X " composition(sk3,converse(sk2)) join sk1 = sk1;"
% ;
% (*
% let Red_Axioms = normalize_equations Defining_rules Axioms;
% 
% let Red_Conjectures =  normalize_equations Defining_rules Conjectures;
% *)
% #time on;
% 
% let res = prove_conj_by_ordered_completion o Axioms Conjectures;
% 
% #time off;
% 
% 
% let status = if res then "unsatisfiable" else "satisfiable";
% #quit;
% Verbose level is now 1
% 
% F : signature = <signature>
% X : variable_set = <variable set>
% 
% Axioms : (F,X) equations = { composition(composition(A,B),C) =
% composition(A,composition(B,C)),
% A =
% complement(complement(A) join complement(B)) join 
% complement(complement(A) join B),
% meet(A,B) =
% complement(complement(A) join complement(B)),
% composition(A,one) = A,
% composition(A join B,C) =
% composition(A,C) join composition(B,C),
% converse(converse(A)) = A,
% converse(A join B) =
% converse(A) join converse(B),
% converse(composition(A,B)) =
% composition(converse(B),converse(A)),
% composition(converse(A),complement(composition(A,B))) join 
% complement(B) = complement(B),
% top = complement(A) join A,
% zero = meet(A,complement(A)),
% composition(complement(sk1),sk2) join complement(sk3)
% = complement(sk3) } (12 equation(s))
% s1 : F status = <status>
% p1 : F precedence = <precedence>
% s2 : F status = <status>
% p2 : F precedence = <precedence>
% o_auto : F term_ordering = <term ordering>
% o : F term_ordering = <term ordering>
% Conjectures : (F,X) equations = { sk1 join composition(sk3,converse(sk2)) =
% sk1 } (1 equation(s))
% time is now on
% 
% Initializing completion ...
% New rule produced : [1] converse(converse(A)) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 12
% Current number of rules: 1
% New rule produced : [2] composition(A,one) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 11
% Current number of rules: 2
% New rule produced : [3] complement(A) join A -> top
% Current number of equations to process: 0
% Current number of ordered equations: 10
% Current number of rules: 3
% New rule produced : [4] meet(A,complement(A)) -> zero
% Current number of equations to process: 0
% Current number of ordered equations: 9
% Current number of rules: 4
% New rule produced : [5] converse(A join B) -> converse(A) join converse(B)
% Current number of equations to process: 0
% Current number of ordered equations: 8
% Current number of rules: 5
% New rule produced :
% [6] composition(converse(B),converse(A)) -> converse(composition(A,B))
% Current number of equations to process: 0
% Current number of ordered equations: 7
% Current number of rules: 6
% New rule produced :
% [7] composition(A,composition(B,C)) <-> composition(composition(A,B),C)
% Current number of equations to process: 23
% Current number of ordered equations: 12
% Current number of rules: 7
% New rule produced :
% [8] composition(composition(A,B),C) <-> composition(A,composition(B,C))
% Current number of equations to process: 23
% Current number of ordered equations: 11
% Current number of rules: 8
% New rule produced :
% [9] meet(A,B) -> complement(complement(A) join complement(B))
% Rule [4] meet(A,complement(A)) -> zero collapsed.
% Current number of equations to process: 24
% Current number of ordered equations: 10
% Current number of rules: 8
% New rule produced : [10] complement(top) -> zero
% Current number of equations to process: 23
% Current number of ordered equations: 10
% Current number of rules: 9
% New rule produced :
% [11] composition(complement(sk1),sk2) join complement(sk3) -> complement(sk3)
% Current number of equations to process: 23
% Current number of ordered equations: 9
% Current number of rules: 10
% New rule produced :
% [12] composition(A join B,C) -> composition(A,C) join composition(B,C)
% Current number of equations to process: 23
% Current number of ordered equations: 8
% Current number of rules: 11
% New rule produced :
% [13]
% composition(converse(A),complement(composition(A,B))) join complement(B) ->
% complement(B)
% Current number of equations to process: 23
% Current number of ordered equations: 7
% Current number of rules: 12
% New rule produced :
% [14]
% complement(complement(A) join complement(B)) join complement(complement(A) join B)
% -> A
% Current number of equations to process: 23
% Current number of ordered equations: 6
% Current number of rules: 13
% New rule produced : [15] top join complement(complement(A)) -> top join A
% Current number of equations to process: 23
% Current number of ordered equations: 5
% Current number of rules: 14
% New rule produced :
% [16] converse(complement(A)) join converse(A) -> converse(top)
% Current number of equations to process: 23
% Current number of ordered equations: 4
% Current number of rules: 15
% New rule produced :
% [17] converse(composition(B,converse(A))) <-> composition(A,converse(B))
% Current number of equations to process: 23
% Current number of ordered equations: 3
% Current number of rules: 16
% New rule produced :
% [18] converse(composition(converse(B),A)) <-> composition(converse(A),B)
% Current number of equations to process: 23
% Current number of ordered equations: 2
% Current number of rules: 17
% New rule produced :
% [19] composition(A,converse(B)) <-> converse(composition(B,converse(A)))
% The conjecture has been reduced. 
% Conjecture is now:
% sk1 join converse(composition(sk2,converse(sk3))) = sk1
% 
% Current number of equations to process: 23
% Current number of ordered equations: 1
% Current number of rules: 18
% New rule produced :
% [20] composition(converse(A),B) <-> converse(composition(converse(B),A))
% Current number of equations to process: 23
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [21] composition(A,composition(one,B)) -> composition(A,B)
% Current number of equations to process: 25
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced : [22] zero join top -> top
% Current number of equations to process: 31
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced : [23] top join composition(complement(sk1),sk2) -> top
% Current number of equations to process: 35
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [24] composition(complement(B),A) join composition(B,A) -> composition(top,A)
% Current number of equations to process: 53
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [25] top join composition(converse(A),complement(composition(A,B))) -> top
% Current number of equations to process: 52
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [26] top join complement(A join B) join B -> top join complement(A)
% Current number of equations to process: 51
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [27]
% composition(A,converse(composition(B,C))) <->
% composition(composition(A,converse(C)),converse(B))
% Current number of equations to process: 50
% Current number of ordered equations: 1
% Current number of rules: 26
% New rule produced :
% [28]
% composition(composition(A,converse(C)),converse(B)) <->
% composition(A,converse(composition(B,C)))
% Current number of equations to process: 50
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [29]
% composition(converse(B),composition(converse(A),C)) <->
% composition(converse(composition(A,B)),C)
% Current number of equations to process: 49
% Current number of ordered equations: 1
% Current number of rules: 28
% New rule produced :
% [30]
% composition(converse(composition(A,B)),C) <->
% composition(converse(B),composition(converse(A),C))
% Current number of equations to process: 49
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [31]
% complement(sk3) join complement(composition(complement(sk1),sk2)) ->
% top join complement(sk3)
% Current number of equations to process: 48
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [32] top join complement(complement(A join B) join B) -> top join A
% Current number of equations to process: 45
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [33]
% composition(A,composition(composition(B,C),V_3)) <->
% composition(composition(A,B),composition(C,V_3))
% Current number of equations to process: 44
% Current number of ordered equations: 1
% Current number of rules: 32
% New rule produced :
% [34]
% composition(composition(A,B),composition(C,V_3)) <->
% composition(A,composition(composition(B,C),V_3))
% Current number of equations to process: 44
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [35]
% composition(A,composition(composition(B,C),V_3)) <->
% composition(composition(composition(A,B),C),V_3)
% Current number of equations to process: 41
% Current number of ordered equations: 5
% Current number of rules: 34
% New rule produced :
% [36]
% composition(A,composition(B,composition(C,V_3))) <->
% composition(composition(A,composition(B,C)),V_3)
% Current number of equations to process: 41
% Current number of ordered equations: 4
% Current number of rules: 35
% New rule produced :
% [37]
% composition(A,composition(B,composition(C,V_3))) <->
% composition(composition(composition(A,B),C),V_3)
% Current number of equations to process: 41
% Current number of ordered equations: 3
% Current number of rules: 36
% New rule produced :
% [38]
% composition(composition(A,composition(B,C)),V_3) <->
% composition(A,composition(B,composition(C,V_3)))
% Current number of equations to process: 41
% Current number of ordered equations: 2
% Current number of rules: 37
% New rule produced :
% [39]
% composition(composition(composition(A,B),C),V_3) <->
% composition(A,composition(composition(B,C),V_3))
% Current number of equations to process: 41
% Current number of ordered equations: 1
% Current number of rules: 38
% New rule produced :
% [40]
% composition(composition(composition(A,B),C),V_3) <->
% composition(A,composition(B,composition(C,V_3)))
% Current number of equations to process: 41
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [41]
% composition(composition(A,composition(B,C)),V_3) <->
% composition(composition(A,B),composition(C,V_3))
% Current number of equations to process: 40
% Current number of ordered equations: 1
% Current number of rules: 40
% New rule produced :
% [42]
% composition(composition(A,B),composition(C,V_3)) <->
% composition(composition(A,composition(B,C)),V_3)
% Current number of equations to process: 40
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [43]
% converse(composition(complement(sk1),sk2)) join converse(complement(sk3)) ->
% converse(complement(sk3))
% Current number of equations to process: 39
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [44]
% composition(converse(A),complement(A)) join complement(one) ->
% complement(one)
% Current number of equations to process: 47
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [45]
% zero join composition(converse(A),complement(composition(A,top))) -> zero
% Current number of equations to process: 52
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [46] zero join complement(complement(A) join complement(A)) -> A
% Current number of equations to process: 80
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [47] top join complement(complement(A) join B) -> top join complement(B)
% Rule [32] top join complement(complement(A join B) join B) -> top join A
% collapsed.
% Current number of equations to process: 79
% Current number of ordered equations: 1
% Current number of rules: 45
% New rule produced : [48] top join A <-> top join complement(B)
% Rule [15] top join complement(complement(A)) -> top join A collapsed.
% Rule [23] top join composition(complement(sk1),sk2) -> top collapsed.
% Rule
% [25] top join composition(converse(A),complement(composition(A,B))) -> top
% collapsed.
% Rule [26] top join complement(A join B) join B -> top join complement(A)
% collapsed.
% Rule [47] top join complement(complement(A) join B) -> top join complement(B)
% collapsed.
% Current number of equations to process: 81
% Current number of ordered equations: 2
% Current number of rules: 41
% Rule [31]
% complement(sk3) join complement(composition(complement(sk1),sk2)) ->
% top join complement(sk3) is composed into [31]
% complement(sk3) join complement(
% composition(
% complement(sk1),sk2))
% -> top
% New rule produced : [49] top join complement(sk3) -> top
% Current number of equations to process: 80
% Current number of ordered equations: 2
% Current number of rules: 42
% Rule [48] top join A <-> top join complement(B) is composed into [48]
% top join A
% -> top
% New rule produced : [50] top join complement(B) -> top
% Rule [49] top join complement(sk3) -> top collapsed.
% Current number of equations to process: 79
% Current number of ordered equations: 1
% Current number of rules: 42
% New rule produced :
% [51] zero join complement(complement(complement(A)) join A) -> complement(A)
% Current number of equations to process: 78
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced : [52] complement(complement(A)) -> A
% Rule
% [51] zero join complement(complement(complement(A)) join A) -> complement(A)
% collapsed.
% Current number of equations to process: 77
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced : [53] zero join complement(A join A) -> complement(A)
% Rule [46] zero join complement(complement(A) join complement(A)) -> A
% collapsed.
% Current number of equations to process: 76
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [54]
% converse(composition(C,A join B)) ->
% converse(composition(C,A)) join converse(composition(C,B))
% Current number of equations to process: 74
% Current number of ordered equations: 1
% Current number of rules: 44
% New rule produced :
% [55]
% composition(converse(A),converse(B) join converse(C)) ->
% converse(composition(B,A)) join converse(composition(C,A))
% Current number of equations to process: 74
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [56]
% composition(A,complement(composition(converse(A),B))) join complement(B) ->
% complement(B)
% Current number of equations to process: 73
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [57]
% converse(complement(A join B)) join converse(A) join converse(B) ->
% converse(top)
% Current number of equations to process: 69
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced : [58] zero join complement(zero join complement(A)) -> A
% Current number of equations to process: 83
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced : [59] sk3 join zero -> sk3
% Current number of equations to process: 86
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [60]
% complement(complement(A) join B) join B <->
% complement(complement(B) join A) join A
% Current number of equations to process: 84
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [61] complement(zero join complement(A)) join complement(zero join A) -> top
% Current number of equations to process: 82
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced : [62] converse(top) join complement(converse(A)) -> top
% Current number of equations to process: 102
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [63] converse(complement(converse(A))) join A -> converse(top)
% Current number of equations to process: 101
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced : [64] converse(zero) join converse(top) -> converse(top)
% Current number of equations to process: 102
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced : [65] composition(converse(one),A) -> A
% Current number of equations to process: 111
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced : [66] converse(top) join converse(A) -> converse(top)
% Rule [64] converse(zero) join converse(top) -> converse(top) collapsed.
% Current number of equations to process: 144
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [67]
% converse(composition(converse(A),B)) <->
% composition(converse(composition(one,B)),A)
% Current number of equations to process: 166
% Current number of ordered equations: 1
% Current number of rules: 56
% New rule produced :
% [68]
% composition(converse(composition(one,B)),A) <->
% converse(composition(converse(A),B))
% Current number of equations to process: 166
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [69] composition(zero,A) join composition(top,A) -> composition(top,A)
% Current number of equations to process: 165
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [70] composition(top,A) join complement(composition(B,A)) -> top
% Current number of equations to process: 164
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [71]
% composition(A,converse(composition(B,converse(one)))) ->
% composition(A,converse(B))
% Current number of equations to process: 164
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [72]
% converse(composition(converse(composition(one,A)),B)) <->
% composition(converse(B),A)
% Current number of equations to process: 163
% Current number of ordered equations: 1
% Current number of rules: 61
% New rule produced :
% [73]
% composition(converse(B),A) <->
% converse(composition(converse(composition(one,A)),B))
% Current number of equations to process: 163
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [74]
% composition(top,sk2) join complement(sk3) ->
% composition(sk1,sk2) join complement(sk3)
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [75]
% composition(A,composition(composition(one,B),C)) ->
% composition(A,composition(B,C))
% Current number of equations to process: 166
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [76]
% converse(composition(A,composition(B,converse(C)))) <->
% composition(C,converse(composition(A,B)))
% Current number of equations to process: 162
% Current number of ordered equations: 1
% Current number of rules: 65
% New rule produced :
% [77]
% composition(C,converse(composition(A,B))) <->
% converse(composition(A,composition(B,converse(C))))
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [78]
% converse(composition(composition(converse(A),B),C)) <->
% composition(converse(composition(B,C)),A)
% Current number of equations to process: 161
% Current number of ordered equations: 1
% Current number of rules: 67
% New rule produced :
% [79]
% composition(converse(composition(B,C)),A) <->
% converse(composition(composition(converse(A),B),C))
% Current number of equations to process: 161
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [80]
% composition(A,converse(composition(B,converse(C)))) <->
% composition(composition(A,C),converse(B))
% Current number of equations to process: 160
% Current number of ordered equations: 1
% Current number of rules: 69
% New rule produced :
% [81]
% composition(composition(A,C),converse(B)) <->
% composition(A,converse(composition(B,converse(C))))
% Current number of equations to process: 160
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [82]
% converse(composition(C,converse(composition(A,B)))) <->
% composition(A,composition(B,converse(C)))
% Current number of equations to process: 158
% Current number of ordered equations: 3
% Current number of rules: 71
% New rule produced :
% [83]
% composition(A,composition(B,converse(C))) <->
% converse(composition(C,converse(composition(A,B))))
% Current number of equations to process: 158
% Current number of ordered equations: 2
% Current number of rules: 72
% New rule produced :
% [84]
% composition(B,composition(converse(A),C)) <->
% composition(converse(composition(A,converse(B))),C)
% Current number of equations to process: 158
% Current number of ordered equations: 1
% Current number of rules: 73
% New rule produced :
% [85]
% composition(converse(composition(A,converse(B))),C) <->
% composition(B,composition(converse(A),C))
% Current number of equations to process: 158
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [86]
% converse(composition(converse(composition(B,C)),A)) <->
% composition(composition(converse(A),B),C)
% Current number of equations to process: 156
% Current number of ordered equations: 3
% Current number of rules: 75
% New rule produced :
% [87]
% composition(A,converse(composition(converse(B),C))) <->
% composition(composition(A,converse(C)),B)
% Current number of equations to process: 156
% Current number of ordered equations: 2
% Current number of rules: 76
% New rule produced :
% [88]
% composition(composition(converse(A),B),C) <->
% converse(composition(converse(composition(B,C)),A))
% Current number of equations to process: 156
% Current number of ordered equations: 1
% Current number of rules: 77
% New rule produced :
% [89]
% composition(composition(A,converse(C)),B) <->
% composition(A,converse(composition(converse(B),C)))
% Current number of equations to process: 156
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [90]
% composition(converse(B),composition(A,C)) <->
% composition(converse(composition(converse(A),B)),C)
% Current number of equations to process: 155
% Current number of ordered equations: 1
% Current number of rules: 79
% New rule produced :
% [91]
% composition(converse(composition(converse(A),B)),C) <->
% composition(converse(B),composition(A,C))
% Current number of equations to process: 155
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [92] converse(top) join complement(converse(A) join B) join B -> top
% Current number of equations to process: 156
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [93]
% converse(composition(C,composition(B,converse(A)))) <->
% composition(composition(A,converse(B)),converse(C))
% Current number of equations to process: 154
% Current number of ordered equations: 3
% Current number of rules: 82
% New rule produced :
% [94]
% converse(composition(composition(C,converse(B)),A)) <->
% composition(converse(A),composition(B,converse(C)))
% Current number of equations to process: 154
% Current number of ordered equations: 2
% Current number of rules: 83
% New rule produced :
% [95]
% composition(converse(A),composition(B,converse(C))) <->
% converse(composition(composition(C,converse(B)),A))
% Current number of equations to process: 154
% Current number of ordered equations: 1
% Current number of rules: 84
% New rule produced :
% [96]
% composition(composition(A,converse(B)),converse(C)) <->
% converse(composition(C,composition(B,converse(A))))
% Current number of equations to process: 154
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [97]
% converse(composition(C,composition(converse(B),A))) <->
% composition(composition(converse(A),B),converse(C))
% Current number of equations to process: 151
% Current number of ordered equations: 3
% Current number of rules: 86
% New rule produced :
% [98]
% converse(composition(composition(converse(C),B),A)) <->
% composition(converse(A),composition(converse(B),C))
% Current number of equations to process: 151
% Current number of ordered equations: 2
% Current number of rules: 87
% New rule produced :
% [99]
% composition(converse(A),composition(converse(B),C)) <->
% converse(composition(composition(converse(C),B),A))
% Current number of equations to process: 151
% Current number of ordered equations: 1
% Current number of rules: 88
% New rule produced :
% [100]
% composition(composition(converse(A),B),converse(C)) <->
% converse(composition(C,composition(converse(B),A)))
% Current number of equations to process: 151
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [101]
% composition(composition(A,converse(one)),converse(B)) ->
% composition(A,converse(B))
% Current number of equations to process: 158
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [102]
% converse(composition(composition(C,converse(B)),converse(A))) <->
% composition(A,composition(B,converse(C)))
% Current number of equations to process: 161
% Current number of ordered equations: 1
% Current number of rules: 91
% New rule produced :
% [103]
% composition(A,composition(B,converse(C))) <->
% converse(composition(composition(C,converse(B)),converse(A)))
% Current number of equations to process: 161
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [104]
% converse(composition(composition(converse(C),B),converse(A))) <->
% composition(A,composition(converse(B),C))
% Current number of equations to process: 160
% Current number of ordered equations: 1
% Current number of rules: 93
% New rule produced :
% [105]
% composition(A,composition(converse(B),C)) <->
% converse(composition(composition(converse(C),B),converse(A)))
% Current number of equations to process: 160
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [106]
% converse(composition(converse(C),composition(B,converse(A)))) <->
% composition(composition(A,converse(B)),C)
% Current number of equations to process: 159
% Current number of ordered equations: 1
% Current number of rules: 95
% New rule produced :
% [107]
% composition(composition(A,converse(B)),C) <->
% converse(composition(converse(C),composition(B,converse(A))))
% Current number of equations to process: 159
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [108]
% converse(composition(converse(C),composition(converse(B),A))) <->
% composition(composition(converse(A),B),C)
% Current number of equations to process: 158
% Current number of ordered equations: 1
% Current number of rules: 97
% New rule produced :
% [109]
% composition(composition(converse(A),B),C) <->
% converse(composition(converse(C),composition(converse(B),A)))
% Current number of equations to process: 158
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [110]
% converse(composition(composition(A,B),converse(C))) <->
% composition(composition(C,converse(B)),converse(A))
% Current number of equations to process: 173
% Current number of ordered equations: 1
% Current number of rules: 99
% New rule produced :
% [111]
% composition(composition(C,converse(B)),converse(A)) <->
% converse(composition(composition(A,B),converse(C)))
% Current number of equations to process: 173
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [112]
% converse(composition(composition(A,converse(B)),converse(C))) <->
% composition(composition(C,B),converse(A))
% Current number of equations to process: 172
% Current number of ordered equations: 1
% Current number of rules: 101
% New rule produced :
% [113]
% composition(composition(C,B),converse(A)) <->
% converse(composition(composition(A,converse(B)),converse(C)))
% Current number of equations to process: 172
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [114]
% converse(composition(A,converse(composition(B,C)))) <->
% composition(B,converse(composition(A,converse(C))))
% Current number of equations to process: 188
% Current number of ordered equations: 1
% Current number of rules: 103
% New rule produced :
% [115]
% composition(B,converse(composition(A,converse(C)))) <->
% converse(composition(A,converse(composition(B,C))))
% Current number of equations to process: 188
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [116]
% converse(composition(A,converse(composition(B,converse(C))))) <->
% composition(B,converse(composition(A,C)))
% Current number of equations to process: 187
% Current number of ordered equations: 1
% Current number of rules: 105
% New rule produced :
% [117]
% composition(B,converse(composition(A,C))) <->
% converse(composition(A,converse(composition(B,converse(C)))))
% Current number of equations to process: 187
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [118]
% converse(composition(converse(composition(A,B)),C)) <->
% composition(converse(composition(converse(A),C)),B)
% Current number of equations to process: 202
% Current number of ordered equations: 1
% Current number of rules: 107
% New rule produced :
% [119]
% composition(converse(composition(converse(A),C)),B) <->
% converse(composition(converse(composition(A,B)),C))
% Current number of equations to process: 202
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [120]
% converse(composition(converse(composition(converse(A),B)),C)) <->
% composition(converse(composition(A,C)),B)
% Current number of equations to process: 201
% Current number of ordered equations: 1
% Current number of rules: 109
% New rule produced :
% [121]
% composition(converse(composition(A,C)),B) <->
% converse(composition(converse(composition(converse(A),B)),C))
% Current number of equations to process: 201
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [122]
% converse(composition(converse(A),composition(B,C))) <->
% composition(converse(C),composition(converse(B),A))
% Current number of equations to process: 218
% Current number of ordered equations: 1
% Current number of rules: 111
% New rule produced :
% [123]
% composition(converse(C),composition(converse(B),A)) <->
% converse(composition(converse(A),composition(B,C)))
% Current number of equations to process: 218
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [124]
% converse(composition(converse(A),composition(converse(B),C))) <->
% composition(converse(C),composition(B,A))
% Current number of equations to process: 217
% Current number of ordered equations: 1
% Current number of rules: 113
% New rule produced :
% [125]
% composition(converse(C),composition(B,A)) <->
% converse(composition(converse(A),composition(converse(B),C)))
% Current number of equations to process: 217
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [126]
% converse(complement(sk3)) join converse(complement(composition(complement(sk1),sk2)))
% -> converse(top)
% Current number of equations to process: 216
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [127]
% converse(complement(sk3)) join complement(converse(composition(complement(sk1),sk2)))
% -> top
% Current number of equations to process: 748
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [128]
% composition(A,complement(converse(A))) join complement(one) ->
% complement(one)
% Current number of equations to process: 760
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [129]
% converse(composition(converse(zero),top)) join complement(one) ->
% complement(one)
% Current number of equations to process: 759
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [130]
% complement(one) join complement(composition(converse(A),complement(A))) ->
% top
% Current number of equations to process: 761
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced : [131] zero join one -> one
% Current number of equations to process: 764
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [132]
% zero join composition(A,complement(composition(converse(A),top))) -> zero
% Current number of equations to process: 784
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [133]
% zero join complement(composition(converse(A),complement(composition(A,top))))
% -> top
% Current number of equations to process: 783
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [134] composition(top,A) join composition(B,A) -> composition(top,A)
% Rule [69] composition(zero,A) join composition(top,A) -> composition(top,A)
% collapsed.
% Current number of equations to process: 792
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced : [135] complement(zero) -> top
% Current number of equations to process: 794
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced : [136] zero join zero -> zero
% Current number of equations to process: 801
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced : [137] complement(complement(A join A) join A) -> zero
% Current number of equations to process: 813
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [138] complement(complement(A join A) join A join B) -> zero
% Current number of equations to process: 811
% Current number of ordered equations: 1
% Current number of rules: 126
% New rule produced :
% [139] complement(zero join A) join complement(B) join A -> top
% Current number of equations to process: 811
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced : [140] A join A <-> zero join A
% Current number of equations to process: 816
% Current number of ordered equations: 1
% Current number of rules: 128
% New rule produced : [141] zero join A <-> A join A
% Rule [59] sk3 join zero -> sk3 collapsed.
% Current number of equations to process: 817
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced : [142] sk3 join sk3 -> sk3
% Current number of equations to process: 816
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [143]
% converse(zero) join converse(complement(A join A)) -> converse(complement(A))
% Current number of equations to process: 822
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [144]
% converse(composition(converse(A),complement(A))) join complement(one) ->
% complement(one)
% Current number of equations to process: 821
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [145]
% composition(converse(A),complement(composition(A,complement(B)))) join B -> B
% Current number of equations to process: 820
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [146]
% complement(B join B) join complement(A) <->
% complement(A join A) join complement(B)
% Current number of equations to process: 819
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [147]
% complement(complement(A) join B) join complement(A join B) -> complement(B)
% Rule
% [14]
% complement(complement(A) join complement(B)) join complement(complement(A) join B)
% -> A collapsed.
% Rule
% [61] complement(zero join complement(A)) join complement(zero join A) -> top
% collapsed.
% Current number of equations to process: 834
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [148] composition(A,B join C) -> composition(A,B) join composition(A,C)
% Rule
% [54]
% converse(composition(C,A join B)) ->
% converse(composition(C,A)) join converse(composition(C,B)) collapsed.
% Rule
% [55]
% composition(converse(A),converse(B) join converse(C)) ->
% converse(composition(B,A)) join converse(composition(C,A)) collapsed.
% Current number of equations to process: 843
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [149]
% composition(A,complement(composition(converse(A),complement(B)))) join B -> B
% Current number of equations to process: 886
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [150] converse(top) join complement(converse(A) join converse(B)) -> top
% Current number of equations to process: 893
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [151]
% composition(converse(B),complement(composition(B,top))) join complement(A) ->
% complement(A)
% Current number of equations to process: 907
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [152]
% converse(composition(A,top)) join converse(composition(A,B)) ->
% converse(composition(A,top))
% Current number of equations to process: 906
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [153]
% converse(composition(converse(A),complement(A))) join converse(complement(one))
% -> converse(complement(one))
% Current number of equations to process: 911
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [154] complement(complement(A join B join B) join A join B) -> zero
% Current number of equations to process: 909
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [155]
% complement(composition(A,complement(composition(converse(A),B)))) join 
% complement(B) -> top
% Current number of equations to process: 908
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [156]
% complement(converse(complement(A join A)) join converse(A)) ->
% zero join complement(converse(top))
% Current number of equations to process: 906
% Current number of ordered equations: 0
% Current number of rules: 139
% Rule [156]
% complement(converse(complement(A join A)) join converse(A)) ->
% zero join complement(converse(top)) is composed into [156]
% complement(
% converse(complement(
% A join A)) join 
% converse(A)) ->
% zero join complement(top)
% Rule [126]
% converse(complement(sk3)) join converse(complement(composition(complement(sk1),sk2)))
% -> converse(top) is composed into [126]
% converse(complement(sk3)) join 
% converse(complement(composition(
% complement(sk1),sk2)))
% -> top
% Rule [63] converse(complement(converse(A))) join A -> converse(top) is composed into 
% [63] converse(complement(converse(A))) join A -> top
% Rule [57]
% converse(complement(A join B)) join converse(A) join converse(B) ->
% converse(top) is composed into [57]
% converse(complement(A join B)) join 
% converse(A) join converse(B) -> top
% Rule [16] converse(complement(A)) join converse(A) -> converse(top) is composed into 
% [16] converse(complement(A)) join converse(A) -> top
% New rule produced : [157] converse(top) -> top
% Rule [62] converse(top) join complement(converse(A)) -> top collapsed.
% Rule [66] converse(top) join converse(A) -> converse(top) collapsed.
% Rule [92] converse(top) join complement(converse(A) join B) join B -> top
% collapsed.
% Rule [150] converse(top) join complement(converse(A) join converse(B)) -> top
% collapsed.
% Current number of equations to process: 907
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced : [158] complement(zero join A) join A join B -> top
% Rule [139] complement(zero join A) join complement(B) join A -> top
% collapsed.
% Current number of equations to process: 917
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced : [159] zero join complement(zero join A) -> complement(A)
% Rule [58] zero join complement(zero join complement(A)) -> A collapsed.
% Current number of equations to process: 918
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced : [160] complement(zero join A) join A -> top
% Rule [158] complement(zero join A) join A join B -> top collapsed.
% Current number of equations to process: 918
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [161] composition(converse(B),complement(composition(B,top))) join A -> A
% Rule
% [45]
% zero join composition(converse(A),complement(composition(A,top))) -> zero
% collapsed.
% Rule
% [151]
% composition(converse(B),complement(composition(B,top))) join complement(A) ->
% complement(A) collapsed.
% Current number of equations to process: 917
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [162]
% converse(zero) join converse(complement(zero join complement(A))) ->
% converse(A)
% Current number of equations to process: 916
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced : [163] zero join A join A -> zero join A
% Current number of equations to process: 1035
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [164]
% complement(zero join complement(A)) join complement(B) ->
% complement(B) join A
% Current number of equations to process: 1033
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [165] converse(complement(converse(zero))) join complement(A) -> top
% Current number of equations to process: 1120
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced : [166] converse(one) -> one
% Rule [65] composition(converse(one),A) -> A collapsed.
% Rule
% [71]
% composition(A,converse(composition(B,converse(one)))) ->
% composition(A,converse(B)) collapsed.
% Rule
% [101]
% composition(composition(A,converse(one)),converse(B)) ->
% composition(A,converse(B)) collapsed.
% Current number of equations to process: 1135
% Current number of ordered equations: 0
% Current number of rules: 137
% Rule [73]
% composition(converse(B),A) <->
% converse(composition(converse(composition(one,A)),B)) is composed into 
% [73] composition(converse(B),A) <-> converse(composition(converse(A),B))
% Rule [67]
% converse(composition(converse(A),B)) <->
% composition(converse(composition(one,B)),A) is composed into [67]
% converse(
% composition(
% converse(A),B))
% <->
% composition(
% converse(B),A)
% New rule produced : [167] composition(one,A) -> A
% Rule [21] composition(A,composition(one,B)) -> composition(A,B) collapsed.
% Rule
% [68]
% composition(converse(composition(one,B)),A) <->
% converse(composition(converse(A),B)) collapsed.
% Rule
% [72]
% converse(composition(converse(composition(one,A)),B)) <->
% composition(converse(B),A) collapsed.
% Rule
% [75]
% composition(A,composition(composition(one,B),C)) ->
% composition(A,composition(B,C)) collapsed.
% Current number of equations to process: 1134
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [168] composition(complement(one),A) join A -> composition(top,A)
% Current number of equations to process: 1133
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [169]
% converse(complement(converse(composition(A,B)))) join composition(top,B) ->
% top
% Current number of equations to process: 1300
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [170]
% converse(complement(converse(composition(complement(sk1),sk2)))) join 
% complement(sk3) -> top
% Current number of equations to process: 1299
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [171]
% converse(complement(converse(complement(A join A)))) join complement(A) ->
% top
% Current number of equations to process: 1298
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [172]
% converse(composition(top,A)) join converse(complement(composition(B,A))) ->
% top
% Current number of equations to process: 1297
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [173]
% composition(top,converse(A)) join complement(converse(composition(A,B))) ->
% top
% Current number of equations to process: 1296
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [174]
% composition(top,A) join complement(composition(B,composition(C,A))) -> top
% Current number of equations to process: 1295
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [175]
% converse(composition(A,top)) join complement(composition(B,converse(A))) ->
% top
% Current number of equations to process: 1294
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [176]
% composition(top,A) join complement(converse(composition(converse(A),B))) ->
% top
% Current number of equations to process: 1293
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [177]
% composition(B,converse(composition(converse(C),A))) <->
% composition(converse(composition(A,converse(B))),C)
% Current number of equations to process: 1292
% Current number of ordered equations: 1
% Current number of rules: 144
% New rule produced :
% [178]
% composition(converse(composition(A,converse(B))),C) <->
% composition(B,converse(composition(converse(C),A)))
% Current number of equations to process: 1292
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [179]
% converse(composition(composition(A,converse(B)),C)) <->
% composition(composition(converse(C),B),converse(A))
% Current number of equations to process: 1507
% Current number of ordered equations: 1
% Current number of rules: 146
% New rule produced :
% [180]
% composition(composition(converse(C),B),converse(A)) <->
% converse(composition(composition(A,converse(B)),C))
% Current number of equations to process: 1507
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [181]
% converse(composition(A,composition(converse(B),C))) <->
% composition(converse(C),composition(B,converse(A)))
% Current number of equations to process: 1622
% Current number of ordered equations: 1
% Current number of rules: 148
% New rule produced :
% [182]
% composition(converse(C),composition(B,converse(A))) <->
% converse(composition(A,composition(converse(B),C)))
% Current number of equations to process: 1622
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [183]
% converse(composition(converse(C),composition(B,converse(A)))) <->
% composition(A,composition(converse(B),C))
% Current number of equations to process: 2322
% Current number of ordered equations: 1
% Current number of rules: 150
% New rule produced :
% [184]
% composition(A,composition(converse(B),C)) <->
% converse(composition(converse(C),composition(B,converse(A))))
% Current number of equations to process: 2322
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [185]
% converse(composition(composition(converse(C),B),converse(A))) <->
% composition(composition(A,converse(B)),C)
% Current number of equations to process: 2321
% Current number of ordered equations: 1
% Current number of rules: 152
% New rule produced :
% [186]
% composition(composition(A,converse(B)),C) <->
% converse(composition(composition(converse(C),B),converse(A)))
% Current number of equations to process: 2321
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [187]
% complement(one) join complement(composition(A,complement(converse(A)))) ->
% top
% Current number of equations to process: 2065
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [188]
% complement(one) join complement(converse(composition(converse(zero),top))) ->
% top
% Current number of equations to process: 2135
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [189]
% converse(complement(one)) join composition(converse(zero),top) ->
% converse(complement(one))
% Current number of equations to process: 2134
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [190] composition(top,zero) join complement(one) -> complement(one)
% Current number of equations to process: 2137
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [191]
% converse(complement(composition(converse(zero),top))) join complement(one) ->
% top
% Current number of equations to process: 2136
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [192] complement(one) join complement(composition(top,zero)) -> top
% Current number of equations to process: 2151
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [193]
% complement(one) join complement(converse(composition(converse(A),complement(A))))
% -> top
% Current number of equations to process: 2158
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced : [194] one join converse(zero) -> one
% Current number of equations to process: 2218
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced : [195] composition(zero,A) join A -> A
% Current number of equations to process: 2220
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced : [196] one join converse(complement(one)) -> top
% Current number of equations to process: 2223
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [197] one join converse(complement(converse(zero))) -> top
% Current number of equations to process: 2232
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [198] one join complement(A join A) -> one join complement(A)
% Current number of equations to process: 2230
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [199] one join complement(zero join complement(A)) -> one join A
% Current number of equations to process: 2229
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [200]
% zero join composition(A,complement(converse(composition(top,A)))) -> zero
% Current number of equations to process: 2246
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [201]
% zero join complement(composition(A,complement(composition(converse(A),top))))
% -> top
% Current number of equations to process: 2247
% Current number of ordered equations: 0
% Current number of rules: 168
% Rule [156]
% complement(converse(complement(A join A)) join converse(A)) ->
% zero join complement(top) is composed into [156]
% complement(converse(complement(
% A join A)) join 
% converse(A)) ->
% complement(top)
% Rule [140] A join A <-> zero join A is composed into [140] A join A -> A
% New rule produced : [202] zero join A -> A
% Rule [22] zero join top -> top collapsed.
% Rule [53] zero join complement(A join A) -> complement(A) collapsed.
% Rule [131] zero join one -> one collapsed.
% Rule
% [132]
% zero join composition(A,complement(composition(converse(A),top))) -> zero
% collapsed.
% Rule
% [133]
% zero join complement(composition(converse(A),complement(composition(A,top))))
% -> top collapsed.
% Rule [136] zero join zero -> zero collapsed.
% Rule [141] zero join A <-> A join A collapsed.
% Rule [159] zero join complement(zero join A) -> complement(A) collapsed.
% Rule [160] complement(zero join A) join A -> top collapsed.
% Rule
% [162]
% converse(zero) join converse(complement(zero join complement(A))) ->
% converse(A) collapsed.
% Rule [163] zero join A join A -> zero join A collapsed.
% Rule
% [164]
% complement(zero join complement(A)) join complement(B) ->
% complement(B) join A collapsed.
% Rule [199] one join complement(zero join complement(A)) -> one join A
% collapsed.
% Rule
% [200]
% zero join composition(A,complement(converse(composition(top,A)))) -> zero
% collapsed.
% Rule
% [201]
% zero join complement(composition(A,complement(composition(converse(A),top))))
% -> top collapsed.
% Current number of equations to process: 2259
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [203] composition(A,complement(composition(converse(A),top))) -> zero
% Current number of equations to process: 2257
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [204] composition(A,complement(converse(composition(top,A)))) -> zero
% Current number of equations to process: 2256
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced : [205] converse(zero) join converse(A) -> converse(A)
% Rule
% [143]
% converse(zero) join converse(complement(A join A)) -> converse(complement(A))
% collapsed.
% Current number of equations to process: 2255
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [206]
% complement(composition(converse(A),complement(composition(A,top)))) -> top
% Current number of equations to process: 2254
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [207] composition(converse(zero),top) join complement(one) -> complement(one)
% Current number of equations to process: 2354
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [208] complement(one) join complement(composition(converse(zero),top)) -> top
% Current number of equations to process: 2353
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [209]
% composition(top,A) join composition(B,composition(C,A)) -> composition(top,A)
% Current number of equations to process: 2353
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [210]
% converse(composition(converse(A),B)) join composition(top,A) ->
% composition(top,A)
% Current number of equations to process: 2352
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [211] converse(composition(top,zero)) join complement(one) -> complement(one)
% Current number of equations to process: 2376
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [212]
% converse(composition(A,complement(converse(A)))) join complement(one) ->
% complement(one)
% Current number of equations to process: 2378
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [213]
% converse(complement(one)) join composition(converse(A),complement(A)) ->
% converse(complement(one))
% Current number of equations to process: 2383
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [214]
% converse(complement(composition(converse(A),complement(A)))) join complement(one)
% -> top
% Current number of equations to process: 2382
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [215]
% converse(composition(top,A)) join converse(composition(B,A)) ->
% converse(composition(top,A))
% Current number of equations to process: 2497
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [216]
% converse(composition(A,B)) join composition(top,converse(A)) ->
% composition(top,converse(A))
% Current number of equations to process: 2496
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [217]
% converse(composition(A,top)) join composition(B,converse(A)) <->
% composition(top,converse(A))
% Current number of equations to process: 2495
% Current number of ordered equations: 1
% Current number of rules: 168
% Rule [217]
% converse(composition(A,top)) join composition(B,converse(A)) <->
% composition(top,converse(A)) is composed into [217]
% converse(composition(A,top)) join 
% composition(B,converse(A))
% <->
% converse(composition(A,top)) join 
% composition(sk3,converse(A))
% New rule produced :
% [218]
% composition(top,converse(A)) <->
% converse(composition(A,top)) join composition(B,converse(A))
% Rule
% [173]
% composition(top,converse(A)) join complement(converse(composition(A,B))) ->
% top collapsed.
% Rule
% [216]
% converse(composition(A,B)) join composition(top,converse(A)) ->
% composition(top,converse(A)) collapsed.
% Current number of equations to process: 2496
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [219] composition(converse(A),complement(composition(A,top))) -> zero
% Rule
% [161] composition(converse(B),complement(composition(B,top))) join A -> A
% collapsed.
% Rule
% [206]
% complement(composition(converse(A),complement(composition(A,top)))) -> top
% collapsed.
% Current number of equations to process: 2588
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [220] complement(complement(A join B) join complement(B)) -> B
% Current number of equations to process: 2653
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [221] complement(complement(complement(A) join B) join A) -> complement(A)
% Current number of equations to process: 2652
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [222]
% complement(sk3 join complement(composition(complement(sk1),sk2))) ->
% composition(complement(sk1),sk2)
% Current number of equations to process: 2651
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced : [223] complement(A join B) join B -> complement(A) join B
% Rule
% [60]
% complement(complement(A) join B) join B <->
% complement(complement(B) join A) join A collapsed.
% Rule [137] complement(complement(A join A) join A) -> zero collapsed.
% Rule [138] complement(complement(A join A) join A join B) -> zero collapsed.
% Rule [154] complement(complement(A join B join B) join A join B) -> zero
% collapsed.
% Current number of equations to process: 2752
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [224]
% sk3 join complement(composition(complement(sk1),sk2)) ->
% complement(composition(complement(sk1),sk2))
% Rule
% [222]
% complement(sk3 join complement(composition(complement(sk1),sk2))) ->
% composition(complement(sk1),sk2) collapsed.
% Current number of equations to process: 2765
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [225]
% complement(converse(A) join complement(converse(complement(A)))) ->
% complement(converse(A))
% Current number of equations to process: 2783
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [226]
% complement(converse(complement(A)) join complement(converse(A))) ->
% complement(converse(complement(A)))
% Current number of equations to process: 2782
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [227]
% one join complement(composition(converse(A),complement(A))) ->
% complement(composition(converse(A),complement(A)))
% Current number of equations to process: 2815
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [228]
% complement(complement(converse(complement(converse(A)))) join A) ->
% complement(A)
% Current number of equations to process: 2878
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [229]
% complement(converse(complement(converse(A))) join complement(A)) ->
% complement(converse(complement(converse(A))))
% Current number of equations to process: 2904
% Current number of ordered equations: 1
% Current number of rules: 171
% New rule produced :
% [230]
% converse(complement(converse(complement(A join B)))) join complement(B) ->
% top
% Rule
% [171]
% converse(complement(converse(complement(A join A)))) join complement(A) ->
% top collapsed.
% Current number of equations to process: 2904
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [231] complement(A join B) join complement(A) -> complement(A)
% Rule [220] complement(complement(A join B) join complement(B)) -> B
% collapsed.
% Current number of equations to process: 2979
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [232]
% composition(A,top) join composition(A,complement(B)) -> composition(A,top)
% Current number of equations to process: 3065
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [233]
% composition(A,complement(B)) join composition(A,B) -> composition(A,top)
% Current number of equations to process: 3064
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [234] composition(A,top) join composition(A,B) -> composition(A,top)
% Rule
% [232]
% composition(A,top) join composition(A,complement(B)) -> composition(A,top)
% collapsed.
% Current number of equations to process: 3075
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [235]
% complement(converse(complement(converse(complement(A)))) join A) ->
% complement(converse(complement(converse(complement(A)))))
% Current number of equations to process: 3264
% Current number of ordered equations: 1
% Current number of rules: 174
% New rule produced :
% [236]
% complement(complement(converse(complement(converse(A))) join B) join A) ->
% complement(A)
% Current number of equations to process: 3264
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [237]
% one join complement(composition(A,complement(converse(A)))) ->
% complement(composition(A,complement(converse(A))))
% Current number of equations to process: 3263
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [238]
% one join complement(converse(composition(converse(zero),top))) ->
% complement(converse(composition(converse(zero),top)))
% Current number of equations to process: 3262
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [239]
% complement(composition(top,A)) join complement(composition(B,A)) ->
% complement(composition(B,A))
% Current number of equations to process: 3261
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [240]
% converse(composition(A,top)) join complement(converse(composition(A,B))) ->
% top
% Current number of equations to process: 3417
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [241]
% converse(composition(A,top)) join converse(A) -> converse(composition(A,top))
% Current number of equations to process: 3420
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [242] converse(composition(converse(A),top)) -> composition(top,A)
% Rule
% [129]
% converse(composition(converse(zero),top)) join complement(one) ->
% complement(one) collapsed.
% Rule
% [188]
% complement(one) join complement(converse(composition(converse(zero),top))) ->
% top collapsed.
% Rule
% [238]
% one join complement(converse(composition(converse(zero),top))) ->
% complement(converse(composition(converse(zero),top))) collapsed.
% Current number of equations to process: 3437
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [243]
% one join complement(composition(top,zero)) ->
% complement(composition(top,zero))
% Current number of equations to process: 3436
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [244]
% converse(composition(A,top)) join converse(complement(composition(A,B))) ->
% top
% Current number of equations to process: 3440
% Current number of ordered equations: 0
% Current number of rules: 180
% Rule [218]
% composition(top,converse(A)) <->
% converse(composition(A,top)) join composition(B,converse(A)) is composed into 
% [218] composition(top,converse(A)) -> converse(composition(A,top))
% New rule produced :
% [245]
% converse(composition(A,top)) join composition(B,converse(A)) ->
% converse(composition(A,top))
% Rule
% [217]
% converse(composition(A,top)) join composition(B,converse(A)) <->
% converse(composition(A,top)) join composition(sk3,converse(A)) collapsed.
% Current number of equations to process: 3459
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [246]
% converse(composition(top,zero)) join converse(complement(one)) ->
% converse(complement(one))
% Current number of equations to process: 3522
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [247] converse(complement(converse(A) join converse(B))) join A join B -> top
% Current number of equations to process: 3529
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [248]
% composition(converse(complement(converse(B))),A) join composition(B,A) ->
% composition(top,A)
% Current number of equations to process: 3528
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [249]
% converse(complement(composition(A,converse(B)))) join composition(B,converse(A))
% -> top
% Current number of equations to process: 3527
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [250]
% converse(complement(composition(converse(A),B))) join composition(converse(B),A)
% -> top
% Current number of equations to process: 3526
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [251]
% converse(complement(converse(composition(converse(A),complement(A))))) join 
% complement(one) -> top
% Current number of equations to process: 3525
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [252]
% composition(sk1,sk2) join complement(sk3) join complement(composition(top,sk2))
% -> top
% Current number of equations to process: 3521
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [253]
% composition(sk1,sk2) join complement(sk3) join complement(composition(A,sk2))
% -> top
% Rule
% [252]
% composition(sk1,sk2) join complement(sk3) join complement(composition(top,sk2))
% -> top collapsed.
% Current number of equations to process: 3520
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [254]
% converse(composition(A,complement(converse(A)))) join converse(complement(one))
% -> converse(complement(one))
% Current number of equations to process: 3518
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [255]
% converse(complement(converse(composition(A,complement(converse(A)))))) join 
% complement(one) -> top
% Current number of equations to process: 3517
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [256]
% converse(complement(one)) join converse(complement(composition(converse(A),
% complement(A)))) -> top
% Current number of equations to process: 3514
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [257]
% complement(composition(converse(A),complement(composition(A,complement(B))))) join B
% -> top
% Current number of equations to process: 3509
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [258]
% complement(converse(A) join complement(converse(complement(A)) join B)) ->
% complement(converse(A))
% Current number of equations to process: 3506
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [259]
% composition(A,converse(complement(B))) join composition(A,converse(B)) ->
% composition(A,top)
% Current number of equations to process: 3503
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [260]
% composition(A,converse(complement(converse(B)))) join composition(A,B) ->
% composition(A,top)
% Current number of equations to process: 3502
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [261]
% complement(composition(A,complement(composition(converse(A),complement(B))))) join B
% -> top
% Current number of equations to process: 3501
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [262]
% composition(A,complement(converse(composition(converse(complement(B)),A)))) join B
% -> B
% Current number of equations to process: 3500
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [263]
% converse(complement(one)) join complement(converse(composition(converse(A),
% complement(A)))) -> top
% Current number of equations to process: 3498
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [264]
% converse(complement(one)) join composition(top,zero) ->
% converse(complement(one))
% Current number of equations to process: 3539
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [265]
% complement(composition(converse(A),complement(composition(A,B)))) join 
% complement(B) -> top
% Current number of equations to process: 3594
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [266] composition(converse(A),top) -> converse(composition(top,A))
% Rule
% [189]
% converse(complement(one)) join composition(converse(zero),top) ->
% converse(complement(one)) collapsed.
% Rule
% [191]
% converse(complement(composition(converse(zero),top))) join complement(one) ->
% top collapsed.
% Rule [203] composition(A,complement(composition(converse(A),top))) -> zero
% collapsed.
% Rule
% [207] composition(converse(zero),top) join complement(one) -> complement(one)
% collapsed.
% Rule
% [208] complement(one) join complement(composition(converse(zero),top)) -> top
% collapsed.
% Rule [242] converse(composition(converse(A),top)) -> composition(top,A)
% collapsed.
% Current number of equations to process: 3713
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [267] complement(one) join complement(converse(composition(top,zero))) -> top
% Current number of equations to process: 3739
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [268]
% composition(A,converse(composition(B,top))) <->
% composition(composition(A,top),converse(B))
% Current number of equations to process: 3737
% Current number of ordered equations: 2
% Current number of rules: 196
% New rule produced :
% [269]
% composition(composition(A,converse(B)),top) ->
% composition(A,converse(composition(top,B)))
% Current number of equations to process: 3737
% Current number of ordered equations: 1
% Current number of rules: 197
% New rule produced :
% [270]
% composition(composition(A,top),converse(B)) <->
% composition(A,converse(composition(B,top)))
% Current number of equations to process: 3737
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [271]
% composition(converse(A),composition(top,B)) <->
% composition(converse(composition(top,A)),B)
% Current number of equations to process: 3735
% Current number of ordered equations: 2
% Current number of rules: 199
% New rule produced :
% [272]
% composition(top,composition(converse(A),B)) ->
% composition(converse(composition(A,top)),B)
% Current number of equations to process: 3735
% Current number of ordered equations: 1
% Current number of rules: 200
% New rule produced :
% [273]
% composition(converse(composition(top,A)),B) <->
% composition(converse(A),composition(top,B))
% Current number of equations to process: 3735
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [274]
% converse(complement(converse(composition(top,zero)))) join complement(one) ->
% top
% Current number of equations to process: 3729
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [275] composition(top,complement(composition(top,complement(A)))) join A -> A
% Current number of equations to process: 3728
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced : [276] converse(complement(converse(zero))) -> top
% Rule [165] converse(complement(converse(zero))) join complement(A) -> top
% collapsed.
% Rule [197] one join converse(complement(converse(zero))) -> top collapsed.
% Current number of equations to process: 3732
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [277] converse(complement(one)) join complement(one) -> complement(one)
% Current number of equations to process: 3734
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [278] converse(complement(A)) join complement(converse(zero)) -> top
% Current number of equations to process: 3733
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced : [279] composition(top,A) join complement(A) -> top
% Current number of equations to process: 3734
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced : [280] composition(top,A) join A -> composition(top,A)
% Current number of equations to process: 3735
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced : [281] composition(top,top) -> top
% Current number of equations to process: 3742
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [282] converse(complement(converse(A))) join composition(top,A) -> top
% Current number of equations to process: 3739
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [283]
% composition(top,complement(composition(top,A))) join complement(A) ->
% complement(A)
% Current number of equations to process: 3737
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [284]
% converse(composition(composition(B,top),converse(A))) <->
% composition(composition(A,top),converse(B))
% Current number of equations to process: 3732
% Current number of ordered equations: 1
% Current number of rules: 210
% New rule produced :
% [285]
% composition(composition(A,top),converse(B)) <->
% converse(composition(composition(B,top),converse(A)))
% Current number of equations to process: 3732
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [286]
% converse(composition(B,converse(composition(A,top)))) <->
% composition(A,converse(composition(B,top)))
% Current number of equations to process: 3730
% Current number of ordered equations: 1
% Current number of rules: 212
% New rule produced :
% [287]
% composition(A,converse(composition(B,top))) <->
% converse(composition(B,converse(composition(A,top))))
% Current number of equations to process: 3730
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [288]
% converse(composition(converse(composition(top,B)),A)) <->
% composition(converse(composition(top,A)),B)
% Current number of equations to process: 3728
% Current number of ordered equations: 1
% Current number of rules: 214
% New rule produced :
% [289]
% composition(converse(composition(top,A)),B) <->
% converse(composition(converse(composition(top,B)),A))
% Current number of equations to process: 3728
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [290]
% converse(composition(converse(B),composition(top,A))) <->
% composition(converse(A),composition(top,B))
% Current number of equations to process: 3725
% Current number of ordered equations: 1
% Current number of rules: 216
% New rule produced :
% [291]
% composition(converse(A),composition(top,B)) <->
% converse(composition(converse(B),composition(top,A)))
% Current number of equations to process: 3725
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced : [292] composition(top,complement(A)) join A -> top
% Current number of equations to process: 3732
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [293] converse(composition(complement(A),top)) join converse(A) -> top
% Current number of equations to process: 3761
% Current number of ordered equations: 1
% Current number of rules: 219
% New rule produced :
% [294] converse(composition(A,top)) join converse(complement(A)) -> top
% Current number of equations to process: 3761
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [295]
% composition(top,composition(complement(one),A)) join A -> composition(top,A)
% Current number of equations to process: 3847
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced :
% [296]
% converse(composition(complement(one),A)) join converse(A) ->
% converse(composition(top,A))
% Current number of equations to process: 3846
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced :
% [297]
% complement(composition(top,complement(composition(top,A)))) join complement(A)
% -> top
% Current number of equations to process: 3850
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced :
% [298] one join converse(complement(one join A)) join converse(A) -> top
% Current number of equations to process: 3848
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [299]
% composition(top,complement(composition(complement(sk1),sk2))) join complement(sk3)
% -> top
% Current number of equations to process: 3845
% Current number of ordered equations: 1
% Current number of rules: 225
% New rule produced :
% [300]
% composition(top,complement(sk3)) join complement(composition(complement(sk1),sk2))
% -> top
% Current number of equations to process: 3845
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced :
% [301]
% composition(top,composition(top,A)) join complement(composition(B,A)) -> top
% Current number of equations to process: 3843
% Current number of ordered equations: 1
% Current number of rules: 227
% New rule produced :
% [302]
% composition(top,complement(composition(A,B))) join composition(top,B) -> top
% Current number of equations to process: 3843
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced :
% [303]
% converse(complement(composition(converse(A),B))) join composition(top,A) ->
% top
% Current number of equations to process: 3840
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced :
% [304]
% composition(top,complement(sk3)) join composition(complement(sk1),sk2) ->
% composition(top,complement(sk3))
% Current number of equations to process: 3839
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced :
% [305]
% converse(composition(A,converse(complement(one)))) join converse(A) ->
% converse(composition(A,top))
% Current number of equations to process: 3838
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [306]
% converse(composition(top,A)) join complement(converse(composition(B,A))) ->
% top
% Current number of equations to process: 3875
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced :
% [307]
% converse(complement(converse(composition(A,B)))) join composition(A,top) ->
% top
% Current number of equations to process: 4004
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced :
% [308]
% converse(complement(composition(A,converse(B)))) join composition(B,top) ->
% top
% Current number of equations to process: 4003
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced :
% [309] converse(composition(top,A)) join converse(complement(A)) -> top
% Current number of equations to process: 4065
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced :
% [310] converse(composition(A,top)) join complement(converse(A)) -> top
% Current number of equations to process: 4288
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [311] complement(one) join complement(composition(A,zero)) -> top
% Rule [192] complement(one) join complement(composition(top,zero)) -> top
% collapsed.
% Current number of equations to process: 2416
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [312] composition(A,zero) join complement(one) -> complement(one)
% Rule [190] composition(top,zero) join complement(one) -> complement(one)
% collapsed.
% Current number of equations to process: 2420
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [313]
% complement(one) join complement(converse(composition(A,complement(converse(A)))))
% -> top
% Current number of equations to process: 2435
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced :
% [314] complement(one) join complement(converse(complement(one))) -> top
% Current number of equations to process: 2491
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced : [315] one join complement(converse(zero)) -> top
% Current number of equations to process: 2503
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced : [316] composition(converse(zero),A) join A -> A
% Current number of equations to process: 2504
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced : [317] composition(A,converse(zero)) join A -> A
% Current number of equations to process: 2522
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced :
% [318]
% complement(one) join complement(converse(zero)) -> complement(converse(zero))
% Current number of equations to process: 2525
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced :
% [319] converse(complement(converse(composition(zero,A)))) join A -> top
% Current number of equations to process: 2530
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced : [320] complement(composition(zero,A)) join A -> top
% Current number of equations to process: 2531
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [321] converse(composition(zero,A)) join converse(A) -> converse(A)
% Current number of equations to process: 2543
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced : [322] one join composition(zero,converse(zero)) -> one
% Current number of equations to process: 2585
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced : [323] composition(zero,composition(zero,A)) join A -> A
% Current number of equations to process: 2584
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced : [324] complement(converse(complement(one))) -> one
% Rule [314] complement(one) join complement(converse(complement(one))) -> top
% collapsed.
% Current number of equations to process: 2601
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [325] one join converse(composition(complement(one),top)) -> top
% Current number of equations to process: 2603
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [326] composition(converse(complement(one)),A) join A -> composition(top,A)
% Current number of equations to process: 2602
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced :
% [327]
% complement(converse(complement(one)) join A) ->
% complement(complement(one) join A)
% Current number of equations to process: 2601
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [328] composition(A,converse(complement(one))) join A -> composition(A,top)
% Current number of equations to process: 2600
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced :
% [329] converse(composition(A,converse(zero))) join converse(A) -> converse(A)
% Current number of equations to process: 2599
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [330]
% complement(composition(zero,A)) join complement(A) ->
% complement(composition(zero,A))
% Current number of equations to process: 2598
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced :
% [331]
% complement(one join A) join complement(converse(zero)) ->
% complement(converse(zero))
% Current number of equations to process: 2597
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [332]
% complement(composition(zero,complement(A))) join A ->
% complement(composition(zero,complement(A)))
% Current number of equations to process: 2596
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [333] composition(complement(one),zero) -> composition(top,zero)
% Current number of equations to process: 2597
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced : [334] composition(zero,zero) -> zero
% Current number of equations to process: 2598
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced :
% [335] composition(zero,B) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 2596
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced :
% [336] composition(A,zero) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 2595
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [337]
% converse(composition(converse(B),A)) <->
% converse(zero) join composition(converse(A),B)
% Current number of equations to process: 2637
% Current number of ordered equations: 1
% Current number of rules: 260
% New rule produced :
% [338]
% converse(zero) join composition(converse(A),B) <->
% converse(composition(converse(B),A))
% Current number of equations to process: 2637
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced : [339] converse(A) join complement(converse(zero)) -> top
% Rule [278] converse(complement(A)) join complement(converse(zero)) -> top
% collapsed.
% Current number of equations to process: 2638
% Current number of ordered equations: 0
% Current number of rules: 261
% Rule [337]
% converse(composition(converse(B),A)) <->
% converse(zero) join composition(converse(A),B) is composed into 
% [337] converse(composition(converse(B),A)) <-> composition(converse(A),B)
% New rule produced : [340] converse(zero) join A -> A
% Rule [194] one join converse(zero) -> one collapsed.
% Rule [205] converse(zero) join converse(A) -> converse(A) collapsed.
% Rule
% [338]
% converse(zero) join composition(converse(A),B) <->
% converse(composition(converse(B),A)) collapsed.
% Current number of equations to process: 2638
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [341]
% one join composition(complement(one),converse(zero)) ->
% one join converse(composition(zero,top))
% Current number of equations to process: 2636
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced :
% [342]
% composition(zero,composition(complement(sk1),sk2)) join complement(sk3) ->
% complement(sk3)
% Current number of equations to process: 2635
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced :
% [343]
% composition(zero,complement(A join B)) join complement(B) -> complement(B)
% Current number of equations to process: 2634
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced :
% [344]
% composition(composition(zero,A),B) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 2642
% Current number of ordered equations: 0
% Current number of rules: 263
% New rule produced :
% [345]
% composition(A,composition(zero,B)) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 2641
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced :
% [346]
% composition(composition(A,B),complement(converse(composition(top,B)))) ->
% composition(A,zero)
% Current number of equations to process: 2639
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced :
% [347]
% composition(B,composition(complement(converse(composition(top,B))),A)) ->
% composition(zero,A)
% Current number of equations to process: 2638
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced :
% [348]
% complement(A join B) join complement(composition(zero,A)) ->
% complement(composition(zero,A))
% Current number of equations to process: 2636
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [349]
% composition(top,complement(converse(composition(top,complement(one))))) ->
% complement(converse(composition(top,complement(one))))
% Current number of equations to process: 2632
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced :
% [350] composition(top,composition(top,A)) -> composition(top,A)
% Rule
% [301]
% composition(top,composition(top,A)) join complement(composition(B,A)) -> top
% collapsed.
% Current number of equations to process: 2775
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced :
% [351] converse(complement(composition(top,zero))) join complement(one) -> top
% Current number of equations to process: 2885
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [352]
% one join complement(converse(composition(top,zero))) ->
% complement(converse(composition(top,zero)))
% Current number of equations to process: 2903
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [353] converse(complement(composition(A,zero))) join complement(one) -> top
% Rule
% [351] converse(complement(composition(top,zero))) join complement(one) -> top
% collapsed.
% Current number of equations to process: 2906
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [354]
% converse(complement(one)) join composition(A,complement(converse(A))) ->
% converse(complement(one))
% Current number of equations to process: 2988
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced :
% [355]
% converse(complement(composition(A,complement(converse(A))))) join complement(one)
% -> top
% Current number of equations to process: 2987
% Current number of ordered equations: 0
% Current number of rules: 272
% New rule produced :
% [356]
% converse(composition(top,A)) join composition(converse(A),B) ->
% converse(composition(top,A))
% Current number of equations to process: 3002
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [357]
% converse(composition(top,zero)) join composition(top,complement(one)) ->
% composition(top,complement(one))
% Current number of equations to process: 3001
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced :
% [358]
% converse(complement(one)) join complement(composition(converse(A),complement(A)))
% -> top
% Current number of equations to process: 3002
% Current number of ordered equations: 0
% Current number of rules: 275
% New rule produced : [359] converse(complement(one)) -> complement(one)
% Rule
% [153]
% converse(composition(converse(A),complement(A))) join converse(complement(one))
% -> converse(complement(one)) collapsed.
% Rule [196] one join converse(complement(one)) -> top collapsed.
% Rule
% [213]
% converse(complement(one)) join composition(converse(A),complement(A)) ->
% converse(complement(one)) collapsed.
% Rule
% [246]
% converse(composition(top,zero)) join converse(complement(one)) ->
% converse(complement(one)) collapsed.
% Rule
% [254]
% converse(composition(A,complement(converse(A)))) join converse(complement(one))
% -> converse(complement(one)) collapsed.
% Rule
% [256]
% converse(complement(one)) join converse(complement(composition(converse(A),
% complement(A)))) -> top
% collapsed.
% Rule
% [263]
% converse(complement(one)) join complement(converse(composition(converse(A),
% complement(A)))) -> top
% collapsed.
% Rule
% [264]
% converse(complement(one)) join composition(top,zero) ->
% converse(complement(one)) collapsed.
% Rule [277] converse(complement(one)) join complement(one) -> complement(one)
% collapsed.
% Rule
% [305]
% converse(composition(A,converse(complement(one)))) join converse(A) ->
% converse(composition(A,top)) collapsed.
% Rule [324] complement(converse(complement(one))) -> one collapsed.
% Rule
% [326] composition(converse(complement(one)),A) join A -> composition(top,A)
% collapsed.
% Rule
% [327]
% complement(converse(complement(one)) join A) ->
% complement(complement(one) join A) collapsed.
% Rule
% [328] composition(A,converse(complement(one))) join A -> composition(A,top)
% collapsed.
% Rule
% [354]
% converse(complement(one)) join composition(A,complement(converse(A))) ->
% converse(complement(one)) collapsed.
% Rule
% [358]
% converse(complement(one)) join complement(composition(converse(A),complement(A)))
% -> top collapsed.
% Current number of equations to process: 3075
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced :
% [360] composition(A,complement(one)) join A -> composition(A,top)
% Current number of equations to process: 3073
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced :
% [361]
% converse(composition(A,complement(one))) join converse(A) ->
% converse(composition(A,top))
% Current number of equations to process: 3072
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced :
% [362]
% converse(composition(A,converse(B))) join composition(B,top) ->
% composition(B,top)
% Current number of equations to process: 3176
% Current number of ordered equations: 0
% Current number of rules: 263
% New rule produced :
% [363]
% converse(composition(top,A)) join converse(A) -> converse(composition(top,A))
% Current number of equations to process: 3248
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced :
% [364] converse(composition(A,zero)) join complement(one) -> complement(one)
% Rule
% [211] converse(composition(top,zero)) join complement(one) -> complement(one)
% collapsed.
% Current number of equations to process: 3258
% Current number of ordered equations: 0
% Current number of rules: 264
% Rule [333] composition(complement(one),zero) -> composition(top,zero) is composed into 
% [333] composition(complement(one),zero) -> zero
% New rule produced : [365] composition(top,zero) -> zero
% Rule
% [243]
% one join complement(composition(top,zero)) ->
% complement(composition(top,zero)) collapsed.
% Rule
% [267] complement(one) join complement(converse(composition(top,zero))) -> top
% collapsed.
% Rule
% [274]
% converse(complement(converse(composition(top,zero)))) join complement(one) ->
% top collapsed.
% Rule
% [352]
% one join complement(converse(composition(top,zero))) ->
% complement(converse(composition(top,zero))) collapsed.
% Rule
% [357]
% converse(composition(top,zero)) join composition(top,complement(one)) ->
% composition(top,complement(one)) collapsed.
% Current number of equations to process: 3311
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced : [366] complement(converse(zero)) -> top
% Rule [276] converse(complement(converse(zero))) -> top collapsed.
% Rule [315] one join complement(converse(zero)) -> top collapsed.
% Rule
% [318]
% complement(one) join complement(converse(zero)) -> complement(converse(zero))
% collapsed.
% Rule
% [331]
% complement(one join A) join complement(converse(zero)) ->
% complement(converse(zero)) collapsed.
% Rule [339] converse(A) join complement(converse(zero)) -> top collapsed.
% Current number of equations to process: 3310
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced : [367] complement(complement(A) join B) join A -> A
% Rule
% [221] complement(complement(complement(A) join B) join A) -> complement(A)
% collapsed.
% Current number of equations to process: 3316
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [368] complement(converse(complement(converse(A)))) join A -> A
% Rule
% [228]
% complement(complement(converse(complement(converse(A)))) join A) ->
% complement(A) collapsed.
% Current number of equations to process: 3390
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [369]
% converse(complement(converse(A))) join complement(A) ->
% converse(complement(converse(A)))
% Rule
% [229]
% complement(converse(complement(converse(A))) join complement(A)) ->
% complement(converse(complement(converse(A)))) collapsed.
% Current number of equations to process: 3394
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [370] converse(A) join complement(converse(complement(A))) -> converse(A)
% Rule
% [225]
% complement(converse(A) join complement(converse(complement(A)))) ->
% complement(converse(A)) collapsed.
% Current number of equations to process: 3447
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [371]
% converse(complement(A)) join complement(converse(A)) ->
% converse(complement(A))
% Rule
% [226]
% complement(converse(complement(A)) join complement(converse(A))) ->
% complement(converse(complement(A))) collapsed.
% Current number of equations to process: 3446
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [372] complement(converse(complement(converse(A))) join B) join A -> A
% Rule
% [236]
% complement(complement(converse(complement(converse(A))) join B) join A) ->
% complement(A) collapsed.
% Current number of equations to process: 3546
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [373]
% converse(A) join complement(converse(complement(A)) join B) -> converse(A)
% Rule
% [258]
% complement(converse(A) join complement(converse(complement(A)) join B)) ->
% complement(converse(A)) collapsed.
% Current number of equations to process: 3700
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [374]
% complement(composition(complement(one),A)) join A ->
% complement(composition(top,A)) join A
% Current number of equations to process: 3699
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced :
% [375] complement(composition(zero,A) join B) join A -> complement(B) join A
% Current number of equations to process: 3697
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced :
% [376]
% composition(composition(A,converse(B)),complement(composition(B,top))) ->
% composition(A,zero)
% Current number of equations to process: 3696
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [377]
% composition(converse(B),composition(complement(composition(B,top)),A)) ->
% composition(zero,A)
% Current number of equations to process: 3695
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced :
% [378]
% complement(sk3) join complement(composition(top,sk2)) ->
% complement(sk3) join complement(composition(sk1,sk2))
% Current number of equations to process: 3694
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced :
% [379]
% converse(complement(A)) join complement(converse(A) join B) ->
% converse(complement(A))
% Current number of equations to process: 3691
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced :
% [380]
% converse(complement(converse(sk3))) join complement(composition(complement(sk1),sk2))
% -> top
% Current number of equations to process: 3690
% Current number of ordered equations: 0
% Current number of rules: 263
% New rule produced :
% [381]
% composition(converse(complement(composition(B,top))),composition(B,A)) ->
% composition(converse(zero),A)
% Current number of equations to process: 3729
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced :
% [382]
% composition(complement(converse(A)),complement(composition(A,top))) ->
% composition(top,complement(composition(A,top)))
% Current number of equations to process: 3728
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced :
% [383]
% composition(converse(composition(B,A)),complement(composition(B,top))) ->
% composition(converse(A),zero)
% Current number of equations to process: 3727
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced :
% [384]
% converse(complement(converse(A))) join complement(A join B) ->
% converse(complement(converse(A)))
% Current number of equations to process: 3724
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [385]
% converse(complement(A join B)) join converse(B) ->
% converse(complement(A)) join converse(B)
% Rule
% [57] converse(complement(A join B)) join converse(A) join converse(B) -> top
% collapsed.
% Rule
% [156]
% complement(converse(complement(A join A)) join converse(A)) ->
% complement(top) collapsed.
% Rule [298] one join converse(complement(one join A)) join converse(A) -> top
% collapsed.
% Current number of equations to process: 3723
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced :
% [386]
% composition(top,A) join complement(A join B) ->
% composition(top,A) join complement(B)
% Current number of equations to process: 3790
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced :
% [387]
% converse(complement(converse(complement(complement(A) join B)))) join A ->
% top
% Current number of equations to process: 3854
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [388]
% converse(complement(A)) join complement(converse(complement(A join B))) ->
% top
% Current number of equations to process: 3882
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced :
% [389]
% converse(complement(converse(complement(composition(top,A))))) join complement(A)
% -> top
% Current number of equations to process: 3978
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [390]
% converse(complement(converse(complement(A)))) join complement(composition(zero,A))
% -> top
% Current number of equations to process: 4007
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [391] complement(composition(top,A)) join complement(A) -> complement(A)
% Current number of equations to process: 4213
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced :
% [392] composition(A,top) join complement(composition(A,B)) -> top
% Current number of equations to process: 4296
% Current number of ordered equations: 0
% Current number of rules: 272
% New rule produced :
% [393]
% complement(composition(top,A) join B) join complement(A) -> complement(A)
% Current number of equations to process: 4294
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [394]
% composition(A,converse(A)) join complement(one) ->
% composition(A,top) join complement(one)
% Current number of equations to process: 4455
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced :
% [395] composition(zero,complement(A)) join A -> composition(zero,top) join A
% Current number of equations to process: 4505
% Current number of ordered equations: 0
% Current number of rules: 275
% New rule produced :
% [396]
% composition(zero,A) join complement(A) <->
% composition(zero,top) join complement(A)
% Current number of equations to process: 4504
% Current number of ordered equations: 1
% Current number of rules: 276
% New rule produced :
% [397]
% composition(zero,top) join complement(A) <->
% composition(zero,A) join complement(A)
% Current number of equations to process: 4504
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced :
% [398]
% composition(converse(A),composition(A,top)) -> converse(composition(top,A))
% Current number of equations to process: 4509
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced : [399] composition(A,top) join A -> composition(A,top)
% Current number of equations to process: 4572
% Current number of ordered equations: 0
% Current number of rules: 279
% New rule produced :
% [400]
% composition(top,composition(complement(one),top)) ->
% composition(complement(one),top)
% Current number of equations to process: 4665
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced :
% [401]
% converse(complement(A join B)) join converse(complement(A)) ->
% converse(complement(A))
% Current number of equations to process: 4693
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced :
% [402]
% composition(converse(A),A) join complement(one) ->
% converse(composition(top,A)) join complement(one)
% Current number of equations to process: 4692
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced :
% [403]
% composition(zero,composition(A,B)) join composition(A,top) ->
% composition(A,top)
% Current number of equations to process: 4690
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced :
% [404]
% converse(composition(A,top)) join composition(top,complement(converse(A))) ->
% top
% Current number of equations to process: 4689
% Current number of ordered equations: 0
% Current number of rules: 284
% New rule produced :
% [405]
% composition(composition(A,B),C) join composition(A,top) -> composition(A,top)
% Current number of equations to process: 4688
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced :
% [406]
% converse(complement(converse(complement(A)))) join A ->
% converse(complement(converse(complement(A))))
% Rule
% [235]
% complement(converse(complement(converse(complement(A)))) join A) ->
% complement(converse(complement(converse(complement(A))))) collapsed.
% Current number of equations to process: 4688
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced :
% [407]
% composition(top,complement(A)) join complement(A join B) ->
% composition(top,complement(A))
% Current number of equations to process: 4765
% Current number of ordered equations: 0
% Current number of rules: 286
% New rule produced :
% [408]
% complement(composition(A,top)) join complement(composition(A,B)) ->
% complement(composition(A,B))
% Current number of equations to process: 4763
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [409]
% composition(top,A) join composition(complement(one),top) ->
% composition(complement(one),top) join A
% Current number of equations to process: 4761
% Current number of ordered equations: 0
% Current number of rules: 288
% New rule produced :
% [410] converse(composition(complement(converse(A)),top)) join A -> top
% Current number of equations to process: 2759
% Current number of ordered equations: 0
% Current number of rules: 289
% New rule produced :
% [411]
% complement(converse(composition(A,top))) join complement(converse(A)) ->
% complement(converse(A))
% Current number of equations to process: 2843
% Current number of ordered equations: 0
% Current number of rules: 290
% New rule produced :
% [412] one join converse(complement(one join converse(A))) join A -> top
% Current number of equations to process: 3224
% Current number of ordered equations: 0
% Current number of rules: 291
% New rule produced :
% [413]
% composition(converse(complement(A)),complement(composition(A,top))) ->
% composition(top,complement(composition(A,top)))
% Current number of equations to process: 3310
% Current number of ordered equations: 0
% Current number of rules: 292
% New rule produced :
% [414]
% converse(complement(composition(A,converse(zero)))) join converse(A) -> top
% Current number of equations to process: 3788
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced :
% [415] composition(sk1,sk2) join complement(sk3) join complement(sk2) -> top
% Current number of equations to process: 4223
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced :
% [416]
% complement(composition(top,complement(composition(top,complement(A))))) join A
% -> top
% Current number of equations to process: 4567
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced :
% [417]
% converse(composition(complement(converse(complement(composition(A,top)))),A))
% -> converse(composition(top,A))
% Current number of equations to process: 4953
% Current number of ordered equations: 0
% Current number of rules: 296
% New rule produced :
% [418] composition(complement(composition(complement(A),top)),top) join A -> A
% Current number of equations to process: 1503
% Current number of ordered equations: 0
% Current number of rules: 297
% New rule produced :
% [419]
% converse(composition(composition(A,top),top)) -> converse(composition(A,top))
% Current number of equations to process: 2158
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [420] composition(composition(A,top),top) -> composition(A,top)
% Rule
% [419]
% converse(composition(composition(A,top),top)) -> converse(composition(A,top))
% collapsed.
% Current number of equations to process: 2205
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [421] composition(B,complement(composition(top,complement(A)))) join A -> A
% Rule
% [275] composition(top,complement(composition(top,complement(A)))) join A -> A
% collapsed.
% Current number of equations to process: 2717
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [422]
% composition(composition(A,top),composition(top,B)) ->
% composition(A,composition(top,B))
% Current number of equations to process: 2891
% Current number of ordered equations: 0
% Current number of rules: 299
% New rule produced :
% [423] converse(composition(top,A)) join complement(converse(A)) -> top
% Current number of equations to process: 2896
% Current number of ordered equations: 0
% Current number of rules: 300
% New rule produced :
% [424]
% composition(B,complement(composition(top,A))) join complement(A) ->
% complement(A)
% Rule
% [283]
% composition(top,complement(composition(top,A))) join complement(A) ->
% complement(A) collapsed.
% Current number of equations to process: 2967
% Current number of ordered equations: 0
% Current number of rules: 300
% New rule produced :
% [425]
% converse(composition(top,A)) join composition(complement(converse(A)),top) ->
% top
% Current number of equations to process: 3091
% Current number of ordered equations: 0
% Current number of rules: 301
% New rule produced :
% [426]
% complement(composition(A,complement(composition(top,complement(B))))) join B
% -> top
% Rule
% [416]
% complement(composition(top,complement(composition(top,complement(A))))) join A
% -> top collapsed.
% Current number of equations to process: 3090
% Current number of ordered equations: 0
% Current number of rules: 301
% New rule produced :
% [427]
% composition(composition(top,A),B) join complement(composition(A,B)) -> top
% Current number of equations to process: 3089
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced :
% [428]
% composition(top,A) join complement(complement(A) join B) ->
% composition(top,A)
% Current number of equations to process: 3088
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced :
% [429]
% converse(composition(complement(converse(A)),top)) join composition(top,A) ->
% top
% Current number of equations to process: 3087
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced :
% [430]
% composition(top,A) join complement(converse(complement(converse(A)))) ->
% composition(top,A)
% Current number of equations to process: 3086
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced :
% [431]
% complement(composition(A,complement(composition(top,B)))) join complement(B)
% -> top
% Rule
% [297]
% complement(composition(top,complement(composition(top,A)))) join complement(A)
% -> top collapsed.
% Current number of equations to process: 3085
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced :
% [432] converse(composition(top,complement(A))) join converse(A) -> top
% Current number of equations to process: 4190
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced :
% [433] composition(top,complement(composition(zero,A))) join A -> top
% Current number of equations to process: 4269
% Current number of ordered equations: 0
% Current number of rules: 307
% New rule produced :
% [434] complement(composition(top,complement(A))) join A -> A
% Current number of equations to process: 4296
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [435] complement(composition(top,complement(A)) join B) join A -> A
% Current number of equations to process: 4353
% Current number of ordered equations: 0
% Current number of rules: 309
% New rule produced : [436] composition(complement(A),top) join A -> top
% Current number of equations to process: 4357
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced : [437] composition(A,top) join complement(A) -> top
% Current number of equations to process: 4468
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced :
% [438]
% converse(A) join complement(converse(composition(complement(A),top))) ->
% converse(A)
% Current number of equations to process: 4525
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [439]
% composition(composition(top,complement(one)),A) join A -> composition(top,A)
% Current number of equations to process: 4534
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [440] converse(composition(top,complement(converse(A)))) join A -> top
% Current number of equations to process: 4666
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [441]
% converse(composition(complement(one),converse(A))) join A ->
% composition(A,top)
% Current number of equations to process: 4671
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced :
% [442]
% composition(top,complement(composition(A,B))) join composition(A,top) -> top
% Current number of equations to process: 4727
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced :
% [443]
% converse(composition(complement(A),top)) join converse(composition(A,top)) ->
% top
% Current number of equations to process: 4726
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced :
% [444]
% converse(complement(A)) join complement(converse(composition(A,top))) ->
% converse(complement(A))
% Current number of equations to process: 4725
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced :
% [445]
% complement(converse(composition(top,A))) join complement(converse(A)) ->
% complement(converse(A))
% Current number of equations to process: 4797
% Current number of ordered equations: 0
% Current number of rules: 319
% New rule produced :
% [446]
% converse(composition(top,complement(converse(A)))) join composition(top,A) ->
% top
% Current number of equations to process: 4852
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [447]
% converse(composition(top,A)) join composition(top,complement(converse(A))) ->
% top
% Current number of equations to process: 4851
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced :
% [448]
% converse(composition(top,A)) join converse(composition(complement(A),top)) ->
% top
% Current number of equations to process: 4849
% Current number of ordered equations: 1
% Current number of rules: 322
% New rule produced :
% [449]
% converse(composition(top,composition(complement(A),top))) join converse(A) ->
% top
% Current number of equations to process: 4849
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced :
% [450]
% converse(composition(top,complement(A))) join converse(composition(A,top)) ->
% top
% Current number of equations to process: 4847
% Current number of ordered equations: 1
% Current number of rules: 324
% New rule produced :
% [451]
% converse(composition(top,composition(A,top))) join converse(complement(A)) ->
% top
% Current number of equations to process: 4847
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced :
% [452]
% converse(composition(top,A)) join complement(composition(converse(A),B)) ->
% top
% Current number of equations to process: 731
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [453]
% sk2 join composition(sk1,sk2) join complement(sk3) ->
% composition(sk1,sk2) join complement(sk3)
% Current number of equations to process: 832
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced :
% [454]
% converse(complement(converse(A))) join complement(composition(top,A)) ->
% converse(complement(converse(A)))
% Current number of equations to process: 831
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [455]
% converse(composition(A,top)) join complement(converse(complement(A))) ->
% converse(composition(A,top))
% Current number of equations to process: 829
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [456]
% converse(composition(top,A)) join composition(zero,converse(A)) ->
% converse(composition(top,A))
% Current number of equations to process: 828
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [457]
% composition(A,top) join complement(converse(composition(B,converse(A)))) ->
% top
% Current number of equations to process: 910
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced :
% [458] converse(complement(converse(A))) join composition(A,top) -> top
% Current number of equations to process: 1007
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced :
% [459]
% complement(one join complement(composition(A,zero))) -> composition(A,zero)
% Current number of equations to process: 1373
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [460]
% one join complement(composition(A,zero)) -> complement(composition(A,zero))
% Rule
% [459]
% complement(one join complement(composition(A,zero))) -> composition(A,zero)
% collapsed.
% Current number of equations to process: 1387
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [461]
% converse(composition(converse(zero),A)) join complement(one) ->
% complement(one)
% Current number of equations to process: 1430
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced :
% [462]
% composition(A,composition(B,zero)) join complement(one) -> complement(one)
% Current number of equations to process: 1429
% Current number of ordered equations: 0
% Current number of rules: 335
% New rule produced :
% [463]
% complement(one) join complement(converse(composition(converse(zero),A))) ->
% top
% Current number of equations to process: 1466
% Current number of ordered equations: 0
% Current number of rules: 336
% New rule produced :
% [464]
% complement(one) join complement(composition(A,composition(B,zero))) -> top
% Current number of equations to process: 1465
% Current number of ordered equations: 0
% Current number of rules: 337
% New rule produced :
% [465]
% composition(top,complement(one)) join complement(composition(A,zero)) -> top
% Current number of equations to process: 1462
% Current number of ordered equations: 1
% Current number of rules: 338
% New rule produced :
% [466]
% composition(top,complement(composition(A,zero))) join complement(one) -> top
% Current number of equations to process: 1462
% Current number of ordered equations: 0
% Current number of rules: 339
% New rule produced :
% [467]
% converse(complement(converse(composition(A,zero)))) join complement(one) ->
% top
% Current number of equations to process: 1461
% Current number of ordered equations: 0
% Current number of rules: 340
% New rule produced :
% [468]
% converse(complement(composition(converse(zero),A))) join complement(one) ->
% top
% Current number of equations to process: 1460
% Current number of ordered equations: 0
% Current number of rules: 341
% New rule produced :
% [469]
% composition(top,complement(one)) join composition(A,zero) ->
% composition(top,complement(one))
% Current number of equations to process: 1457
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced :
% [470]
% converse(composition(composition(top,A),top)) join converse(complement(A)) ->
% top
% Current number of equations to process: 1458
% Current number of ordered equations: 0
% Current number of rules: 343
% New rule produced :
% [471]
% converse(complement(A)) join complement(converse(composition(top,A))) ->
% converse(complement(A))
% Current number of equations to process: 1457
% Current number of ordered equations: 0
% Current number of rules: 344
% New rule produced :
% [472]
% converse(composition(top,complement(A))) join converse(composition(top,A)) ->
% top
% Current number of equations to process: 1456
% Current number of ordered equations: 0
% Current number of rules: 345
% New rule produced :
% [473]
% converse(composition(top,composition(A,top))) join complement(converse(A)) ->
% top
% Current number of equations to process: 1455
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced : [474] composition(converse(zero),zero) -> zero
% Current number of equations to process: 1557
% Current number of ordered equations: 0
% Current number of rules: 347
% New rule produced :
% [475] complement(composition(converse(zero),A)) join A -> top
% Current number of equations to process: 1565
% Current number of ordered equations: 0
% Current number of rules: 348
% New rule produced : [476] converse(composition(converse(A),zero)) join A -> A
% Current number of equations to process: 1566
% Current number of ordered equations: 0
% Current number of rules: 349
% New rule produced :
% [477] converse(composition(A,zero)) join converse(A) -> converse(A)
% Current number of equations to process: 1576
% Current number of ordered equations: 0
% Current number of rules: 350
% New rule produced :
% [478] composition(converse(zero),composition(zero,A)) join A -> A
% Current number of equations to process: 1621
% Current number of ordered equations: 1
% Current number of rules: 351
% New rule produced :
% [479] composition(zero,composition(converse(zero),A)) join A -> A
% Current number of equations to process: 1621
% Current number of ordered equations: 0
% Current number of rules: 352
% New rule produced :
% [480] composition(converse(zero),complement(A)) join A -> A
% Current number of equations to process: 1647
% Current number of ordered equations: 0
% Current number of rules: 353
% New rule produced :
% [481] composition(converse(zero),A) join complement(A) -> complement(A)
% Current number of equations to process: 1646
% Current number of ordered equations: 0
% Current number of rules: 354
% New rule produced :
% [482] converse(complement(composition(converse(A),zero))) join A -> top
% Current number of equations to process: 1655
% Current number of ordered equations: 0
% Current number of rules: 355
% New rule produced : [483] composition(zero,converse(zero)) -> zero
% Rule [322] one join composition(zero,converse(zero)) -> one collapsed.
% Current number of equations to process: 1677
% Current number of ordered equations: 0
% Current number of rules: 355
% New rule produced :
% [484] complement(composition(A,converse(zero))) join A -> top
% Current number of equations to process: 1693
% Current number of ordered equations: 0
% Current number of rules: 356
% New rule produced : [485] converse(composition(zero,converse(A))) join A -> A
% Current number of equations to process: 1709
% Current number of ordered equations: 0
% Current number of rules: 357
% New rule produced :
% [486] converse(composition(zero,top)) join complement(one) -> complement(one)
% Current number of equations to process: 1759
% Current number of ordered equations: 0
% Current number of rules: 358
% New rule produced :
% [487] composition(composition(zero,A),converse(zero)) join A -> A
% Current number of equations to process: 1762
% Current number of ordered equations: 0
% Current number of rules: 359
% New rule produced :
% [488] converse(complement(composition(zero,converse(A)))) join A -> top
% Current number of equations to process: 1790
% Current number of ordered equations: 0
% Current number of rules: 360
% New rule produced :
% [489] converse(composition(converse(zero),A)) join converse(A) -> converse(A)
% Current number of equations to process: 1818
% Current number of ordered equations: 0
% Current number of rules: 361
% New rule produced :
% [490]
% converse(complement(converse(composition(converse(zero),A)))) join A -> top
% Current number of equations to process: 1819
% Current number of ordered equations: 0
% Current number of rules: 362
% New rule produced :
% [491]
% composition(top,complement(composition(converse(zero),A))) join A -> top
% Current number of equations to process: 1817
% Current number of ordered equations: 0
% Current number of rules: 363
% New rule produced :
% [492]
% converse(complement(converse(composition(A,converse(zero))))) join A -> top
% Current number of equations to process: 1816
% Current number of ordered equations: 0
% Current number of rules: 364
% New rule produced :
% [493]
% composition(top,A) join composition(A,converse(zero)) -> composition(top,A)
% Current number of equations to process: 1814
% Current number of ordered equations: 0
% Current number of rules: 365
% New rule produced :
% [494]
% composition(top,complement(composition(A,converse(zero)))) join A -> top
% Current number of equations to process: 1813
% Current number of ordered equations: 0
% Current number of rules: 366
% New rule produced :
% [495] composition(composition(converse(zero),A),converse(zero)) join A -> A
% Current number of equations to process: 1810
% Current number of ordered equations: 1
% Current number of rules: 367
% New rule produced :
% [496] composition(converse(zero),composition(A,converse(zero))) join A -> A
% Current number of equations to process: 1810
% Current number of ordered equations: 0
% Current number of rules: 368
% New rule produced :
% [497] converse(A) join complement(converse(composition(zero,A))) -> top
% Current number of equations to process: 1820
% Current number of ordered equations: 0
% Current number of rules: 369
% New rule produced :
% [498]
% complement(converse(complement(converse(composition(zero,A))))) join A -> A
% Current number of equations to process: 1882
% Current number of ordered equations: 0
% Current number of rules: 370
% New rule produced :
% [499] complement(converse(composition(zero,converse(A)))) join A -> top
% Current number of equations to process: 1889
% Current number of ordered equations: 0
% Current number of rules: 371
% New rule produced :
% [500] converse(complement(composition(zero,A))) join converse(A) -> top
% Current number of equations to process: 1918
% Current number of ordered equations: 0
% Current number of rules: 372
% New rule produced :
% [501] complement(composition(zero,composition(zero,A))) join A -> top
% Current number of equations to process: 1936
% Current number of ordered equations: 0
% Current number of rules: 373
% New rule produced :
% [502]
% converse(A) join complement(converse(composition(A,converse(zero)))) -> top
% Current number of equations to process: 1998
% Current number of ordered equations: 0
% Current number of rules: 374
% New rule produced :
% [503] complement(complement(composition(zero,A)) join B) join A -> A
% Current number of equations to process: 1997
% Current number of ordered equations: 0
% Current number of rules: 375
% New rule produced :
% [504]
% complement(composition(zero,composition(converse(zero),A))) join A -> top
% Current number of equations to process: 1996
% Current number of ordered equations: 0
% Current number of rules: 376
% New rule produced :
% [505] one join complement(converse(composition(complement(one),top))) -> one
% Current number of equations to process: 2147
% Current number of ordered equations: 0
% Current number of rules: 377
% New rule produced :
% [506]
% composition(complement(A),converse(zero)) join A ->
% converse(composition(zero,top)) join A
% Rule
% [341]
% one join composition(complement(one),converse(zero)) ->
% one join converse(composition(zero,top)) collapsed.
% Current number of equations to process: 2204
% Current number of ordered equations: 0
% Current number of rules: 377
% New rule produced :
% [507]
% composition(composition(A,zero),converse(zero)) join complement(one) ->
% complement(one)
% Current number of equations to process: 2203
% Current number of ordered equations: 0
% Current number of rules: 378
% New rule produced :
% [508]
% converse(composition(zero,composition(zero,A))) join converse(A) ->
% converse(A)
% Current number of equations to process: 2202
% Current number of ordered equations: 0
% Current number of rules: 379
% New rule produced :
% [509] composition(composition(A,complement(one)),zero) -> composition(A,zero)
% Current number of equations to process: 3149
% Current number of ordered equations: 0
% Current number of rules: 380
% New rule produced :
% [510] composition(complement(one),composition(zero,A)) -> composition(zero,A)
% Current number of equations to process: 3148
% Current number of ordered equations: 0
% Current number of rules: 381
% New rule produced : [511] complement(composition(A,zero)) -> top
% Rule [311] complement(one) join complement(composition(A,zero)) -> top
% collapsed.
% Rule
% [353] converse(complement(composition(A,zero))) join complement(one) -> top
% collapsed.
% Rule
% [460]
% one join complement(composition(A,zero)) -> complement(composition(A,zero))
% collapsed.
% Rule
% [465]
% composition(top,complement(one)) join complement(composition(A,zero)) -> top
% collapsed.
% Rule
% [466]
% composition(top,complement(composition(A,zero))) join complement(one) -> top
% collapsed.
% Rule [482] converse(complement(composition(converse(A),zero))) join A -> top
% collapsed.
% Current number of equations to process: 3163
% Current number of ordered equations: 0
% Current number of rules: 376
% Rule [383]
% composition(converse(composition(B,A)),complement(composition(B,top)))
% -> composition(converse(A),zero) is composed into [383]
% composition(converse(
% composition(B,A)),
% complement(composition(B,top)))
% -> zero
% Rule [376]
% composition(composition(A,converse(B)),complement(composition(B,top)))
% -> composition(A,zero) is composed into [376]
% composition(composition(A,
% converse(B)),
% complement(composition(B,top)))
% -> zero
% Rule [346]
% composition(composition(A,B),complement(converse(composition(top,B))))
% -> composition(A,zero) is composed into [346]
% composition(composition(A,B),
% complement(converse(composition(top,B))))
% -> zero
% New rule produced : [512] composition(A,zero) -> zero
% Rule [312] composition(A,zero) join complement(one) -> complement(one)
% collapsed.
% Rule [333] composition(complement(one),zero) -> zero collapsed.
% Rule [334] composition(zero,zero) -> zero collapsed.
% Rule [336] composition(A,zero) join composition(A,B) -> composition(A,B)
% collapsed.
% Rule
% [364] converse(composition(A,zero)) join complement(one) -> complement(one)
% collapsed.
% Rule [365] composition(top,zero) -> zero collapsed.
% Rule
% [462]
% composition(A,composition(B,zero)) join complement(one) -> complement(one)
% collapsed.
% Rule
% [464]
% complement(one) join complement(composition(A,composition(B,zero))) -> top
% collapsed.
% Rule
% [467]
% converse(complement(converse(composition(A,zero)))) join complement(one) ->
% top collapsed.
% Rule
% [469]
% composition(top,complement(one)) join composition(A,zero) ->
% composition(top,complement(one)) collapsed.
% Rule [474] composition(converse(zero),zero) -> zero collapsed.
% Rule [476] converse(composition(converse(A),zero)) join A -> A collapsed.
% Rule [477] converse(composition(A,zero)) join converse(A) -> converse(A)
% collapsed.
% Rule
% [507]
% composition(composition(A,zero),converse(zero)) join complement(one) ->
% complement(one) collapsed.
% Rule
% [509] composition(composition(A,complement(one)),zero) -> composition(A,zero)
% collapsed.
% Rule [511] complement(composition(A,zero)) -> top collapsed.
% Current number of equations to process: 3163
% Current number of ordered equations: 0
% Current number of rules: 361
% New rule produced :
% [513]
% composition(composition(A,converse(zero)),complement(one)) ->
% composition(A,converse(zero))
% Current number of equations to process: 3161
% Current number of ordered equations: 0
% Current number of rules: 362
% New rule produced :
% [514]
% composition(converse(zero),composition(complement(one),A)) ->
% composition(converse(zero),A)
% Current number of equations to process: 3160
% Current number of ordered equations: 0
% Current number of rules: 363
% New rule produced :
% [515] composition(zero,complement(composition(A,top))) -> zero
% Current number of equations to process: 3159
% Current number of ordered equations: 0
% Current number of rules: 364
% New rule produced :
% [516] composition(zero,complement(A)) join complement(one) -> complement(one)
% Current number of equations to process: 3171
% Current number of ordered equations: 0
% Current number of rules: 365
% New rule produced :
% [517] composition(A,B) join complement(composition(zero,B)) -> top
% Current number of equations to process: 3172
% Current number of ordered equations: 0
% Current number of rules: 366
% Rule [381]
% composition(converse(complement(composition(B,top))),composition(B,A))
% -> composition(converse(zero),A) is composed into [381]
% composition(converse(
% complement(
% composition(B,top))),
% composition(B,A)) ->
% converse(zero)
% New rule produced : [518] composition(converse(zero),A) -> converse(zero)
% Rule [316] composition(converse(zero),A) join A -> A collapsed.
% Rule
% [461]
% converse(composition(converse(zero),A)) join complement(one) ->
% complement(one) collapsed.
% Rule
% [463]
% complement(one) join complement(converse(composition(converse(zero),A))) ->
% top collapsed.
% Rule
% [468]
% converse(complement(composition(converse(zero),A))) join complement(one) ->
% top collapsed.
% Rule [475] complement(composition(converse(zero),A)) join A -> top collapsed.
% Rule [478] composition(converse(zero),composition(zero,A)) join A -> A
% collapsed.
% Rule [479] composition(zero,composition(converse(zero),A)) join A -> A
% collapsed.
% Rule [480] composition(converse(zero),complement(A)) join A -> A collapsed.
% Rule [481] composition(converse(zero),A) join complement(A) -> complement(A)
% collapsed.
% Rule
% [489] converse(composition(converse(zero),A)) join converse(A) -> converse(A)
% collapsed.
% Rule
% [490]
% converse(complement(converse(composition(converse(zero),A)))) join A -> top
% collapsed.
% Rule
% [491]
% composition(top,complement(composition(converse(zero),A))) join A -> top
% collapsed.
% Rule
% [495] composition(composition(converse(zero),A),converse(zero)) join A -> A
% collapsed.
% Rule
% [496] composition(converse(zero),composition(A,converse(zero))) join A -> A
% collapsed.
% Rule
% [504]
% complement(composition(zero,composition(converse(zero),A))) join A -> top
% collapsed.
% Rule
% [514]
% composition(converse(zero),composition(complement(one),A)) ->
% composition(converse(zero),A) collapsed.
% Current number of equations to process: 3170
% Current number of ordered equations: 0
% Current number of rules: 351
% New rule produced :
% [519] composition(zero,sk2) join complement(sk3) -> complement(sk3)
% Current number of equations to process: 3186
% Current number of ordered equations: 0
% Current number of rules: 352
% New rule produced :
% [520] composition(zero,complement(composition(A,complement(B)))) join B -> B
% Current number of equations to process: 3264
% Current number of ordered equations: 0
% Current number of rules: 353
% New rule produced :
% [521] composition(zero,complement(converse(composition(top,A)))) -> zero
% Current number of equations to process: 3294
% Current number of ordered equations: 0
% Current number of rules: 354
% New rule produced :
% [522] composition(zero,A) join composition(B,top) -> composition(B,top)
% Rule
% [403]
% composition(zero,composition(A,B)) join composition(A,top) ->
% composition(A,top) collapsed.
% Current number of equations to process: 3318
% Current number of ordered equations: 0
% Current number of rules: 354
% New rule produced :
% [523]
% composition(zero,complement(composition(A,B))) join complement(B) ->
% complement(B)
% Current number of equations to process: 3383
% Current number of ordered equations: 0
% Current number of rules: 355
% New rule produced :
% [524]
% converse(composition(top,A)) join composition(zero,top) ->
% converse(composition(top,A))
% Current number of equations to process: 3381
% Current number of ordered equations: 0
% Current number of rules: 356
% New rule produced :
% [525]
% composition(zero,sk2) join composition(top,complement(sk3)) ->
% composition(top,complement(sk3))
% Current number of equations to process: 3380
% Current number of ordered equations: 0
% Current number of rules: 357
% Rule [381]
% composition(converse(complement(composition(B,top))),composition(B,A))
% -> converse(zero) is composed into [381]
% composition(converse(complement(
% composition(B,top))),
% composition(B,A)) -> zero
% New rule produced : [526] converse(zero) -> zero
% Rule [317] composition(A,converse(zero)) join A -> A collapsed.
% Rule
% [329] converse(composition(A,converse(zero))) join converse(A) -> converse(A)
% collapsed.
% Rule [340] converse(zero) join A -> A collapsed.
% Rule [366] complement(converse(zero)) -> top collapsed.
% Rule
% [414]
% converse(complement(composition(A,converse(zero)))) join converse(A) -> top
% collapsed.
% Rule [483] composition(zero,converse(zero)) -> zero collapsed.
% Rule [484] complement(composition(A,converse(zero))) join A -> top collapsed.
% Rule [487] composition(composition(zero,A),converse(zero)) join A -> A
% collapsed.
% Rule
% [492]
% converse(complement(converse(composition(A,converse(zero))))) join A -> top
% collapsed.
% Rule
% [493]
% composition(top,A) join composition(A,converse(zero)) -> composition(top,A)
% collapsed.
% Rule
% [494]
% composition(top,complement(composition(A,converse(zero)))) join A -> top
% collapsed.
% Rule
% [502]
% converse(A) join complement(converse(composition(A,converse(zero)))) -> top
% collapsed.
% Rule
% [506]
% composition(complement(A),converse(zero)) join A ->
% converse(composition(zero,top)) join A collapsed.
% Rule
% [513]
% composition(composition(A,converse(zero)),complement(one)) ->
% composition(A,converse(zero)) collapsed.
% Rule [518] composition(converse(zero),A) -> converse(zero) collapsed.
% Current number of equations to process: 3537
% Current number of ordered equations: 0
% Current number of rules: 343
% Rule [377]
% composition(converse(B),composition(complement(composition(B,top)),A))
% -> composition(zero,A) is composed into [377]
% composition(converse(B),
% composition(complement(composition(B,top)),A))
% -> zero
% Rule [347]
% composition(B,composition(complement(converse(composition(top,B))),A))
% -> composition(zero,A) is composed into [347]
% composition(B,composition(
% complement(
% converse(composition(top,B))),A))
% -> zero
% New rule produced : [527] composition(zero,A) -> zero
% Rule [195] composition(zero,A) join A -> A collapsed.
% Rule [319] converse(complement(converse(composition(zero,A)))) join A -> top
% collapsed.
% Rule [320] complement(composition(zero,A)) join A -> top collapsed.
% Rule [321] converse(composition(zero,A)) join converse(A) -> converse(A)
% collapsed.
% Rule [323] composition(zero,composition(zero,A)) join A -> A collapsed.
% Rule
% [330]
% complement(composition(zero,A)) join complement(A) ->
% complement(composition(zero,A)) collapsed.
% Rule
% [332]
% complement(composition(zero,complement(A))) join A ->
% complement(composition(zero,complement(A))) collapsed.
% Rule [335] composition(zero,B) join composition(A,B) -> composition(A,B)
% collapsed.
% Rule
% [342]
% composition(zero,composition(complement(sk1),sk2)) join complement(sk3) ->
% complement(sk3) collapsed.
% Rule
% [343]
% composition(zero,complement(A join B)) join complement(B) -> complement(B)
% collapsed.
% Rule
% [344]
% composition(composition(zero,A),B) join composition(A,B) -> composition(A,B)
% collapsed.
% Rule
% [345]
% composition(A,composition(zero,B)) join composition(A,B) -> composition(A,B)
% collapsed.
% Rule
% [348]
% complement(A join B) join complement(composition(zero,A)) ->
% complement(composition(zero,A)) collapsed.
% Rule
% [375] complement(composition(zero,A) join B) join A -> complement(B) join A
% collapsed.
% Rule
% [390]
% converse(complement(converse(complement(A)))) join complement(composition(zero,A))
% -> top collapsed.
% Rule
% [395] composition(zero,complement(A)) join A -> composition(zero,top) join A
% collapsed.
% Rule
% [396]
% composition(zero,A) join complement(A) <->
% composition(zero,top) join complement(A) collapsed.
% Rule
% [397]
% composition(zero,top) join complement(A) <->
% composition(zero,A) join complement(A) collapsed.
% Rule [433] composition(top,complement(composition(zero,A))) join A -> top
% collapsed.
% Rule
% [456]
% converse(composition(top,A)) join composition(zero,converse(A)) ->
% converse(composition(top,A)) collapsed.
% Rule [485] converse(composition(zero,converse(A))) join A -> A collapsed.
% Rule
% [486] converse(composition(zero,top)) join complement(one) -> complement(one)
% collapsed.
% Rule [488] converse(complement(composition(zero,converse(A)))) join A -> top
% collapsed.
% Rule [497] converse(A) join complement(converse(composition(zero,A))) -> top
% collapsed.
% Rule
% [498]
% complement(converse(complement(converse(composition(zero,A))))) join A -> A
% collapsed.
% Rule [499] complement(converse(composition(zero,converse(A)))) join A -> top
% collapsed.
% Rule [500] converse(complement(composition(zero,A))) join converse(A) -> top
% collapsed.
% Rule [501] complement(composition(zero,composition(zero,A))) join A -> top
% collapsed.
% Rule [503] complement(complement(composition(zero,A)) join B) join A -> A
% collapsed.
% Rule
% [508]
% converse(composition(zero,composition(zero,A))) join converse(A) ->
% converse(A) collapsed.
% Rule
% [510] composition(complement(one),composition(zero,A)) -> composition(zero,A)
% collapsed.
% Rule [515] composition(zero,complement(composition(A,top))) -> zero
% collapsed.
% Rule
% [516] composition(zero,complement(A)) join complement(one) -> complement(one)
% collapsed.
% Rule [517] composition(A,B) join complement(composition(zero,B)) -> top
% collapsed.
% Rule [519] composition(zero,sk2) join complement(sk3) -> complement(sk3)
% collapsed.
% Rule
% [520] composition(zero,complement(composition(A,complement(B)))) join B -> B
% collapsed.
% Rule [521] composition(zero,complement(converse(composition(top,A)))) -> zero
% collapsed.
% Rule [522] composition(zero,A) join composition(B,top) -> composition(B,top)
% collapsed.
% Rule
% [523]
% composition(zero,complement(composition(A,B))) join complement(B) ->
% complement(B) collapsed.
% Rule
% [524]
% converse(composition(top,A)) join composition(zero,top) ->
% converse(composition(top,A)) collapsed.
% Rule
% [525]
% composition(zero,sk2) join composition(top,complement(sk3)) ->
% composition(top,complement(sk3)) collapsed.
% Current number of equations to process: 3536
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced :
% [528]
% composition(converse(composition(complement(one),top)),A) join A ->
% composition(top,A)
% Current number of equations to process: 3509
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced :
% [529]
% composition(A,converse(composition(complement(one),top))) join A ->
% composition(A,top)
% Current number of equations to process: 3508
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced :
% [530]
% one join complement(converse(composition(complement(one),top)) join A) -> one
% Current number of equations to process: 3506
% Current number of ordered equations: 1
% Current number of rules: 306
% New rule produced :
% [531]
% converse(composition(complement(one),top)) join complement(one) ->
% converse(composition(complement(one),top))
% Current number of equations to process: 3506
% Current number of ordered equations: 0
% Current number of rules: 307
% New rule produced :
% [532]
% composition(composition(A,B),converse(composition(top,B))) ->
% composition(composition(A,B),top)
% Current number of equations to process: 3544
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [533]
% converse(composition(top,A)) join complement(converse(complement(A))) ->
% converse(composition(top,A))
% Current number of equations to process: 3617
% Current number of ordered equations: 0
% Current number of rules: 309
% New rule produced :
% [534]
% composition(converse(composition(top,A)),composition(top,B)) ->
% composition(converse(composition(top,A)),B)
% Current number of equations to process: 3838
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced :
% [535]
% composition(converse(A),complement(one)) ->
% converse(composition(complement(one),A))
% Current number of equations to process: 3953
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced :
% [536]
% composition(complement(one),converse(A)) ->
% converse(composition(A,complement(one)))
% Rule
% [441]
% converse(composition(complement(one),converse(A))) join A ->
% composition(A,top) collapsed.
% Current number of equations to process: 3952
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced :
% [537]
% converse(composition(complement(one),top)) ->
% composition(top,complement(one))
% Rule [325] one join converse(composition(complement(one),top)) -> top
% collapsed.
% Rule
% [505] one join complement(converse(composition(complement(one),top))) -> one
% collapsed.
% Rule
% [528]
% composition(converse(composition(complement(one),top)),A) join A ->
% composition(top,A) collapsed.
% Rule
% [529]
% composition(A,converse(composition(complement(one),top))) join A ->
% composition(A,top) collapsed.
% Rule
% [530]
% one join complement(converse(composition(complement(one),top)) join A) -> one
% collapsed.
% Rule
% [531]
% converse(composition(complement(one),top)) join complement(one) ->
% converse(composition(complement(one),top)) collapsed.
% Current number of equations to process: 3964
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced :
% [538]
% converse(composition(top,complement(one))) ->
% composition(complement(one),top)
% Rule
% [349]
% composition(top,complement(converse(composition(top,complement(one))))) ->
% complement(converse(composition(top,complement(one)))) collapsed.
% Current number of equations to process: 3981
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced :
% [539]
% composition(complement(one),complement(composition(complement(one),top))) ->
% zero
% Current number of equations to process: 3983
% Current number of ordered equations: 0
% Current number of rules: 307
% New rule produced :
% [540]
% composition(composition(top,complement(one)),top) ->
% composition(top,complement(one))
% Current number of equations to process: 4089
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [541] composition(top,complement(one)) <-> composition(complement(one),top)
% Current number of equations to process: 4139
% Current number of ordered equations: 1
% Current number of rules: 309
% New rule produced :
% [542] composition(complement(one),top) <-> composition(top,complement(one))
% Current number of equations to process: 4139
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced :
% [543] complement(composition(A,top)) join complement(A) -> complement(A)
% Current number of equations to process: 4219
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced :
% [544] composition(top,A) join composition(complement(A),top) -> top
% Current number of equations to process: 4291
% Current number of ordered equations: 1
% Current number of rules: 312
% New rule produced :
% [545] composition(composition(top,A),top) join complement(A) -> top
% Current number of equations to process: 4291
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [546] composition(composition(top,complement(A)),top) join A -> top
% Current number of equations to process: 4299
% Current number of ordered equations: 1
% Current number of rules: 314
% New rule produced :
% [547] composition(top,complement(A)) join composition(A,top) -> top
% Current number of equations to process: 4299
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced :
% [548]
% composition(top,complement(composition(complement(one),top))) ->
% complement(composition(complement(one),top))
% Current number of equations to process: 4324
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced :
% [549]
% composition(A,composition(top,complement(one))) join A -> composition(A,top)
% Current number of equations to process: 4323
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced :
% [550]
% composition(composition(A,complement(one)),top) join A -> composition(A,top)
% Current number of equations to process: 4322
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced :
% [551]
% composition(composition(top,A),top) join A ->
% composition(composition(top,A),top)
% Current number of equations to process: 4321
% Current number of ordered equations: 0
% Current number of rules: 319
% New rule produced :
% [552]
% complement(composition(A,complement(one))) join A ->
% complement(composition(A,top)) join A
% Current number of equations to process: 4320
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [553]
% complement(composition(A,top) join B) join complement(A) -> complement(A)
% Current number of equations to process: 4319
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced :
% [554]
% composition(converse(composition(complement(one),A)),B) <->
% composition(converse(A),composition(complement(one),B))
% Current number of equations to process: 4318
% Current number of ordered equations: 1
% Current number of rules: 322
% New rule produced :
% [555]
% composition(converse(A),composition(complement(one),B)) <->
% composition(converse(composition(complement(one),A)),B)
% Current number of equations to process: 4318
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced :
% [556]
% composition(A,converse(composition(complement(one),B))) <->
% composition(composition(A,converse(B)),complement(one))
% Current number of equations to process: 4316
% Current number of ordered equations: 3
% Current number of rules: 324
% New rule produced :
% [557]
% composition(A,converse(composition(B,complement(one)))) <->
% composition(composition(A,complement(one)),converse(B))
% Current number of equations to process: 4316
% Current number of ordered equations: 2
% Current number of rules: 325
% New rule produced :
% [558]
% composition(composition(A,converse(B)),complement(one)) <->
% composition(A,converse(composition(complement(one),B)))
% Current number of equations to process: 4316
% Current number of ordered equations: 1
% Current number of rules: 326
% New rule produced :
% [559]
% composition(composition(A,complement(one)),converse(B)) <->
% composition(A,converse(composition(B,complement(one))))
% Current number of equations to process: 4316
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced :
% [560]
% composition(converse(composition(A,complement(one))),B) <->
% composition(complement(one),composition(converse(A),B))
% Current number of equations to process: 4314
% Current number of ordered equations: 1
% Current number of rules: 328
% New rule produced :
% [561]
% composition(complement(one),composition(converse(A),B)) <->
% composition(converse(composition(A,complement(one))),B)
% Current number of equations to process: 4314
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [562]
% one join composition(A,complement(converse(composition(complement(one),A))))
% -> one
% Current number of equations to process: 4310
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [563]
% composition(composition(complement(one),top),converse(A)) <->
% converse(composition(composition(A,top),complement(one)))
% Current number of equations to process: 4309
% Current number of ordered equations: 1
% Current number of rules: 331
% New rule produced :
% [564]
% converse(composition(composition(A,top),complement(one))) <->
% composition(composition(complement(one),top),converse(A))
% Current number of equations to process: 4309
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced :
% [565]
% converse(composition(complement(one),composition(top,A))) <->
% composition(converse(A),composition(top,complement(one)))
% Current number of equations to process: 4308
% Current number of ordered equations: 1
% Current number of rules: 333
% New rule produced :
% [566]
% composition(converse(A),composition(top,complement(one))) <->
% converse(composition(complement(one),composition(top,A)))
% Current number of equations to process: 4308
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced :
% [567]
% composition(top,A) join composition(complement(composition(B,A)),top) -> top
% Current number of equations to process: 4306
% Current number of ordered equations: 1
% Current number of rules: 335
% New rule produced :
% [568]
% composition(composition(top,A),top) join complement(composition(B,A)) -> top
% Current number of equations to process: 4306
% Current number of ordered equations: 0
% Current number of rules: 336
% New rule produced :
% [569]
% composition(complement(sk3),top) join complement(composition(complement(sk1),sk2))
% -> top
% Current number of equations to process: 4304
% Current number of ordered equations: 1
% Current number of rules: 337
% New rule produced :
% [570]
% composition(complement(composition(complement(sk1),sk2)),top) join complement(sk3)
% -> top
% Current number of equations to process: 4304
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced :
% [571]
% converse(complement(converse(complement(composition(A,top))))) join complement(A)
% -> top
% Current number of equations to process: 4303
% Current number of ordered equations: 0
% Current number of rules: 339
% New rule produced :
% [572]
% converse(complement(converse(A))) join composition(composition(top,A),top) ->
% top
% Current number of equations to process: 4300
% Current number of ordered equations: 0
% Current number of rules: 340
% New rule produced :
% [573]
% converse(composition(A,top)) join composition(complement(converse(A)),top) ->
% top
% Current number of equations to process: 4297
% Current number of ordered equations: 0
% Current number of rules: 341
% New rule produced :
% [574] complement(composition(complement(A),top)) join A -> A
% Current number of equations to process: 2500
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced :
% [575] converse(complement(converse(complement(converse(A))))) -> converse(A)
% Current number of equations to process: 2559
% Current number of ordered equations: 0
% Current number of rules: 343
% New rule produced :
% [576] complement(composition(complement(A),top) join B) join A -> A
% Current number of equations to process: 2714
% Current number of ordered equations: 0
% Current number of rules: 344
% New rule produced :
% [577]
% converse(complement(complement(A) join B)) join converse(A) -> converse(A)
% Current number of equations to process: 2713
% Current number of ordered equations: 0
% Current number of rules: 345
% New rule produced : [578] complement(converse(A)) -> converse(complement(A))
% Rule [63] converse(complement(converse(A))) join A -> top collapsed.
% Rule
% [127]
% converse(complement(sk3)) join complement(converse(composition(complement(sk1),sk2)))
% -> top collapsed.
% Rule
% [128]
% composition(A,complement(converse(A))) join complement(one) ->
% complement(one) collapsed.
% Rule
% [169]
% converse(complement(converse(composition(A,B)))) join composition(top,B) ->
% top collapsed.
% Rule
% [170]
% converse(complement(converse(composition(complement(sk1),sk2)))) join 
% complement(sk3) -> top collapsed.
% Rule
% [176]
% composition(top,A) join complement(converse(composition(converse(A),B))) ->
% top collapsed.
% Rule
% [187]
% complement(one) join complement(composition(A,complement(converse(A)))) ->
% top collapsed.
% Rule
% [193]
% complement(one) join complement(converse(composition(converse(A),complement(A))))
% -> top collapsed.
% Rule [204] composition(A,complement(converse(composition(top,A)))) -> zero
% collapsed.
% Rule
% [212]
% converse(composition(A,complement(converse(A)))) join complement(one) ->
% complement(one) collapsed.
% Rule
% [230]
% converse(complement(converse(complement(A join B)))) join complement(B) ->
% top collapsed.
% Rule
% [237]
% one join complement(composition(A,complement(converse(A)))) ->
% complement(composition(A,complement(converse(A)))) collapsed.
% Rule
% [240]
% converse(composition(A,top)) join complement(converse(composition(A,B))) ->
% top collapsed.
% Rule
% [248]
% composition(converse(complement(converse(B))),A) join composition(B,A) ->
% composition(top,A) collapsed.
% Rule
% [251]
% converse(complement(converse(composition(converse(A),complement(A))))) join 
% complement(one) -> top collapsed.
% Rule
% [255]
% converse(complement(converse(composition(A,complement(converse(A)))))) join 
% complement(one) -> top collapsed.
% Rule
% [260]
% composition(A,converse(complement(converse(B)))) join composition(A,B) ->
% composition(A,top) collapsed.
% Rule
% [262]
% composition(A,complement(converse(composition(converse(complement(B)),A)))) join B
% -> B collapsed.
% Rule [282] converse(complement(converse(A))) join composition(top,A) -> top
% collapsed.
% Rule
% [306]
% converse(composition(top,A)) join complement(converse(composition(B,A))) ->
% top collapsed.
% Rule
% [307]
% converse(complement(converse(composition(A,B)))) join composition(A,top) ->
% top collapsed.
% Rule [310] converse(composition(A,top)) join complement(converse(A)) -> top
% collapsed.
% Rule
% [313]
% complement(one) join complement(converse(composition(A,complement(converse(A)))))
% -> top collapsed.
% Rule
% [346]
% composition(composition(A,B),complement(converse(composition(top,B)))) ->
% zero collapsed.
% Rule
% [347]
% composition(B,composition(complement(converse(composition(top,B))),A)) ->
% zero collapsed.
% Rule
% [355]
% converse(complement(composition(A,complement(converse(A))))) join complement(one)
% -> top collapsed.
% Rule [368] complement(converse(complement(converse(A)))) join A -> A
% collapsed.
% Rule
% [369]
% converse(complement(converse(A))) join complement(A) ->
% converse(complement(converse(A))) collapsed.
% Rule
% [370] converse(A) join complement(converse(complement(A))) -> converse(A)
% collapsed.
% Rule
% [371]
% converse(complement(A)) join complement(converse(A)) ->
% converse(complement(A)) collapsed.
% Rule [372] complement(converse(complement(converse(A))) join B) join A -> A
% collapsed.
% Rule
% [380]
% converse(complement(converse(sk3))) join complement(composition(complement(sk1),sk2))
% -> top collapsed.
% Rule
% [382]
% composition(complement(converse(A)),complement(composition(A,top))) ->
% composition(top,complement(composition(A,top))) collapsed.
% Rule
% [384]
% converse(complement(converse(A))) join complement(A join B) ->
% converse(complement(converse(A))) collapsed.
% Rule
% [387]
% converse(complement(converse(complement(complement(A) join B)))) join A ->
% top collapsed.
% Rule
% [388]
% converse(complement(A)) join complement(converse(complement(A join B))) ->
% top collapsed.
% Rule
% [389]
% converse(complement(converse(complement(composition(top,A))))) join complement(A)
% -> top collapsed.
% Rule
% [404]
% converse(composition(A,top)) join composition(top,complement(converse(A))) ->
% top collapsed.
% Rule
% [406]
% converse(complement(converse(complement(A)))) join A ->
% converse(complement(converse(complement(A)))) collapsed.
% Rule [410] converse(composition(complement(converse(A)),top)) join A -> top
% collapsed.
% Rule
% [411]
% complement(converse(composition(A,top))) join complement(converse(A)) ->
% complement(converse(A)) collapsed.
% Rule
% [417]
% converse(composition(complement(converse(complement(composition(A,top)))),A))
% -> converse(composition(top,A)) collapsed.
% Rule [423] converse(composition(top,A)) join complement(converse(A)) -> top
% collapsed.
% Rule
% [425]
% converse(composition(top,A)) join composition(complement(converse(A)),top) ->
% top collapsed.
% Rule
% [429]
% converse(composition(complement(converse(A)),top)) join composition(top,A) ->
% top collapsed.
% Rule
% [430]
% composition(top,A) join complement(converse(complement(converse(A)))) ->
% composition(top,A) collapsed.
% Rule
% [438]
% converse(A) join complement(converse(composition(complement(A),top))) ->
% converse(A) collapsed.
% Rule [440] converse(composition(top,complement(converse(A)))) join A -> top
% collapsed.
% Rule
% [444]
% converse(complement(A)) join complement(converse(composition(A,top))) ->
% converse(complement(A)) collapsed.
% Rule
% [445]
% complement(converse(composition(top,A))) join complement(converse(A)) ->
% complement(converse(A)) collapsed.
% Rule
% [446]
% converse(composition(top,complement(converse(A)))) join composition(top,A) ->
% top collapsed.
% Rule
% [447]
% converse(composition(top,A)) join composition(top,complement(converse(A))) ->
% top collapsed.
% Rule
% [454]
% converse(complement(converse(A))) join complement(composition(top,A)) ->
% converse(complement(converse(A))) collapsed.
% Rule
% [455]
% converse(composition(A,top)) join complement(converse(complement(A))) ->
% converse(composition(A,top)) collapsed.
% Rule
% [457]
% composition(A,top) join complement(converse(composition(B,converse(A)))) ->
% top collapsed.
% Rule [458] converse(complement(converse(A))) join composition(A,top) -> top
% collapsed.
% Rule
% [471]
% converse(complement(A)) join complement(converse(composition(top,A))) ->
% converse(complement(A)) collapsed.
% Rule
% [473]
% converse(composition(top,composition(A,top))) join complement(converse(A)) ->
% top collapsed.
% Rule
% [533]
% converse(composition(top,A)) join complement(converse(complement(A))) ->
% converse(composition(top,A)) collapsed.
% Rule
% [562]
% one join composition(A,complement(converse(composition(complement(one),A))))
% -> one collapsed.
% Rule
% [571]
% converse(complement(converse(complement(composition(A,top))))) join complement(A)
% -> top collapsed.
% Rule
% [572]
% converse(complement(converse(A))) join composition(composition(top,A),top) ->
% top collapsed.
% Rule
% [573]
% converse(composition(A,top)) join composition(complement(converse(A)),top) ->
% top collapsed.
% Rule
% [575] converse(complement(converse(complement(converse(A))))) -> converse(A)
% collapsed.
% Current number of equations to process: 2753
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced :
% [579]
% converse(composition(complement(composition(top,A)),converse(A))) -> zero
% Current number of equations to process: 2752
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced :
% [580]
% converse(composition(complement(A),converse(A))) join complement(one) ->
% complement(one)
% Current number of equations to process: 2751
% Current number of ordered equations: 0
% Current number of rules: 284
% New rule produced :
% [581]
% converse(complement(composition(complement(A),converse(A)))) join complement(one)
% -> top
% Current number of equations to process: 2749
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced :
% [582]
% composition(composition(A,B),converse(complement(composition(top,B)))) ->
% zero
% Current number of equations to process: 2748
% Current number of ordered equations: 0
% Current number of rules: 286
% New rule produced :
% [583]
% converse(composition(converse(A),composition(complement(composition(top,B)),
% converse(B)))) -> zero
% Current number of equations to process: 2747
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [584]
% composition(complement(A),converse(A)) join complement(one) ->
% complement(one)
% Current number of equations to process: 2746
% Current number of ordered equations: 0
% Current number of rules: 288
% New rule produced :
% [585]
% converse(complement(composition(complement(A),top))) join converse(A) ->
% converse(A)
% Current number of equations to process: 2745
% Current number of ordered equations: 0
% Current number of rules: 289
% New rule produced :
% [586]
% complement(one) join complement(composition(complement(A),converse(A))) ->
% top
% Current number of equations to process: 2744
% Current number of ordered equations: 0
% Current number of rules: 290
% New rule produced :
% [587]
% converse(complement(composition(A,top))) join converse(complement(A)) ->
% converse(complement(A))
% Current number of equations to process: 2743
% Current number of ordered equations: 0
% Current number of rules: 291
% New rule produced :
% [588]
% converse(complement(composition(top,A))) join converse(complement(A)) ->
% converse(complement(A))
% Current number of equations to process: 2742
% Current number of ordered equations: 0
% Current number of rules: 292
% New rule produced :
% [589]
% one join converse(composition(complement(composition(complement(one),A)),
% converse(A))) -> one
% Current number of equations to process: 2741
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced :
% [590]
% composition(A,top) join complement(complement(A) join B) ->
% composition(A,top)
% Current number of equations to process: 2739
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced :
% [591] converse(complement(converse(complement(A)) join B)) join A -> A
% Current number of equations to process: 2752
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced :
% [592]
% converse(complement(composition(top,complement(A)))) join converse(A) ->
% converse(A)
% Current number of equations to process: 2859
% Current number of ordered equations: 0
% Current number of rules: 296
% New rule produced :
% [593]
% one join converse(complement(composition(complement(A),converse(A)))) ->
% converse(complement(composition(complement(A),converse(A))))
% Current number of equations to process: 3015
% Current number of ordered equations: 0
% Current number of rules: 297
% New rule produced :
% [594]
% composition(composition(A,complement(one)),complement(composition(complement(one),top)))
% -> zero
% Current number of equations to process: 3054
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [595]
% composition(complement(one),composition(complement(composition(complement(one),top)),A))
% -> zero
% Current number of equations to process: 3091
% Current number of ordered equations: 0
% Current number of rules: 299
% New rule produced :
% [596]
% converse(complement(converse(A) join B)) join complement(A) -> complement(A)
% Current number of equations to process: 3200
% Current number of ordered equations: 0
% Current number of rules: 300
% New rule produced :
% [597]
% composition(complement(composition(top,A)),composition(converse(A),B)) ->
% zero
% Current number of equations to process: 3328
% Current number of ordered equations: 1
% Current number of rules: 301
% New rule produced :
% [598]
% composition(complement(composition(top,A)),converse(composition(top,A))) ->
% zero
% Current number of equations to process: 3328
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced :
% [599]
% converse(composition(composition(complement(one),top),converse(A))) <->
% composition(composition(A,top),complement(one))
% Current number of equations to process: 3323
% Current number of ordered equations: 1
% Current number of rules: 303
% New rule produced :
% [600]
% composition(composition(A,top),complement(one)) <->
% converse(composition(composition(complement(one),top),converse(A)))
% Current number of equations to process: 3323
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced :
% [601]
% converse(composition(converse(A),composition(top,complement(one)))) <->
% composition(complement(one),composition(top,A))
% Current number of equations to process: 3322
% Current number of ordered equations: 1
% Current number of rules: 305
% New rule produced :
% [602]
% composition(complement(one),composition(top,A)) <->
% converse(composition(converse(A),composition(top,complement(one))))
% Current number of equations to process: 3322
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced :
% [603]
% composition(complement(sk3),top) join composition(complement(sk1),sk2) ->
% composition(complement(sk3),top)
% Current number of equations to process: 3321
% Current number of ordered equations: 0
% Current number of rules: 307
% New rule produced :
% [604]
% composition(top,complement(one)) join composition(A,top) ->
% composition(top,complement(one)) join A
% Current number of equations to process: 3319
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [605]
% composition(A,top) join complement(A join B) ->
% composition(A,top) join complement(B)
% Current number of equations to process: 3318
% Current number of ordered equations: 0
% Current number of rules: 309
% New rule produced :
% [606]
% composition(complement(A),top) join complement(A join B) ->
% composition(complement(A),top)
% Current number of equations to process: 3316
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced :
% [607]
% converse(composition(complement(one),complement(one))) join complement(one)
% -> composition(top,complement(one))
% Current number of equations to process: 3315
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced :
% [608]
% composition(composition(A,converse(B)),composition(B,top)) ->
% composition(A,converse(composition(top,B)))
% Current number of equations to process: 3314
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [609]
% composition(converse(composition(A,top)),composition(A,B)) ->
% composition(top,composition(A,B))
% Current number of equations to process: 3316
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [610]
% composition(converse(composition(A,B)),composition(A,top)) ->
% converse(composition(top,composition(A,B)))
% Current number of equations to process: 3444
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [611]
% composition(A,top) join complement(composition(composition(A,B),top)) -> top
% Current number of equations to process: 3445
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced :
% [612]
% converse(complement(converse(A) join B)) join A ->
% converse(complement(B)) join A
% Rule
% [247] converse(complement(converse(A) join converse(B))) join A join B -> top
% collapsed.
% Rule [412] one join converse(complement(one join converse(A))) join A -> top
% collapsed.
% Current number of equations to process: 3726
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [613]
% one join converse(complement(one join A)) -> one join converse(complement(A))
% Current number of equations to process: 3804
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced :
% [614]
% composition(top,composition(A,top)) join complement(composition(A,B)) -> top
% Current number of equations to process: 4475
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced :
% [615]
% composition(top,A) join complement(composition(top,complement(A))) ->
% composition(top,A)
% Current number of equations to process: 4524
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced :
% [616]
% composition(A,top) join complement(composition(composition(A,B),C)) -> top
% Rule
% [611]
% composition(A,top) join complement(composition(composition(A,B),top)) -> top
% collapsed.
% Current number of equations to process: 4775
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced :
% [617]
% composition(complement(composition(A,B)),top) join composition(A,top) -> top
% Current number of equations to process: 4774
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced :
% [618]
% complement(composition(composition(top,A),top)) join complement(A) ->
% complement(A)
% Current number of equations to process: 4849
% Current number of ordered equations: 0
% Current number of rules: 319
% New rule produced :
% [619]
% converse(composition(A,top)) join complement(one) ->
% composition(A,top) join complement(one)
% Current number of equations to process: 4874
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [620]
% converse(composition(composition(top,A),converse(A))) -> composition(A,top)
% Current number of equations to process: 1398
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced :
% [621]
% composition(complement(one),composition(complement(one),top)) ->
% composition(complement(one),top)
% Current number of equations to process: 1437
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced :
% [622] composition(top,composition(A,top)) join complement(A) -> top
% Current number of equations to process: 1597
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced :
% [623]
% composition(converse(composition(A,top)),composition(top,A)) ->
% composition(top,A)
% Current number of equations to process: 1597
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [624]
% composition(top,composition(A,top)) join A ->
% composition(top,composition(A,top))
% Current number of equations to process: 1596
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced :
% [625]
% composition(converse(composition(top,A)),composition(A,top)) ->
% converse(composition(top,A))
% Current number of equations to process: 1653
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [626]
% composition(composition(A,top),composition(converse(B),B)) ->
% composition(A,composition(top,B))
% Current number of equations to process: 1652
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced :
% [627]
% converse(complement(one join A)) join complement(one) -> complement(one)
% Current number of equations to process: 1972
% Current number of ordered equations: 0
% Current number of rules: 328
% Rule [402]
% composition(converse(A),A) join complement(one) ->
% converse(composition(top,A)) join complement(one) is composed into 
% [402]
% composition(converse(A),A) join complement(one) ->
% composition(top,A) join complement(one)
% New rule produced :
% [628]
% converse(composition(top,A)) join complement(one) ->
% composition(top,A) join complement(one)
% Current number of equations to process: 2087
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [629]
% composition(top,complement(A)) join complement(composition(top,A)) ->
% composition(top,complement(A))
% Current number of equations to process: 2449
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [630]
% composition(complement(A),top) join complement(composition(top,A)) ->
% composition(complement(A),top)
% Current number of equations to process: 2448
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced :
% [631]
% complement(composition(sk1,sk2) join complement(sk3)) join complement(sk2) ->
% complement(sk2)
% Current number of equations to process: 2447
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced :
% [632]
% composition(composition(converse(A),A),composition(top,B)) ->
% composition(converse(composition(top,A)),B)
% Current number of equations to process: 2446
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [633]
% composition(converse(A),composition(A,composition(top,B))) ->
% composition(converse(composition(top,A)),B)
% Current number of equations to process: 2445
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced :
% [634]
% composition(composition(top,complement(one)),composition(top,A)) ->
% composition(composition(top,complement(one)),A)
% Current number of equations to process: 2442
% Current number of ordered equations: 0
% Current number of rules: 335
% New rule produced :
% [635]
% composition(composition(A,top),composition(complement(one),top)) ->
% composition(A,composition(complement(one),top))
% Current number of equations to process: 2441
% Current number of ordered equations: 0
% Current number of rules: 336
% New rule produced :
% [636]
% composition(top,complement(A)) join complement(composition(A,top)) ->
% composition(top,complement(A))
% Current number of equations to process: 2948
% Current number of ordered equations: 0
% Current number of rules: 337
% New rule produced :
% [637] composition(sk1,top) join complement(sk3) join complement(sk2) -> top
% Current number of equations to process: 3277
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced :
% [638] composition(complement(composition(complement(A),top)),B) join A -> A
% Rule
% [418] composition(complement(composition(complement(A),top)),top) join A -> A
% collapsed.
% Current number of equations to process: 3418
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced :
% [639]
% composition(A,composition(top,complement(B))) join B ->
% composition(A,top) join B
% Current number of equations to process: 3947
% Current number of ordered equations: 0
% Current number of rules: 339
% New rule produced :
% [640]
% composition(composition(top,A),top) join complement(composition(A,B)) -> top
% Current number of equations to process: 4478
% Current number of ordered equations: 0
% Current number of rules: 340
% New rule produced :
% [641]
% composition(top,A) join complement(composition(complement(A),top)) ->
% composition(top,A)
% Current number of equations to process: 4769
% Current number of ordered equations: 0
% Current number of rules: 341
% New rule produced :
% [642]
% complement(composition(A,complement(composition(top,composition(A,top))))) ->
% top
% Current number of equations to process: 4919
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced :
% [643] complement(composition(composition(top,complement(A)),top)) join A -> A
% Current number of equations to process: 1485
% Current number of ordered equations: 0
% Current number of rules: 343
% New rule produced :
% [644] composition(top,composition(complement(A),top)) join A -> top
% Current number of equations to process: 1744
% Current number of ordered equations: 0
% Current number of rules: 344
% New rule produced :
% [645]
% converse(composition(composition(top,complement(A)),top)) join converse(A) ->
% top
% Current number of equations to process: 2355
% Current number of ordered equations: 0
% Current number of rules: 345
% New rule produced :
% [646]
% composition(A,top) join complement(composition(top,complement(A))) ->
% composition(A,top)
% Current number of equations to process: 2354
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced :
% [647]
% composition(A,composition(B,top)) join complement(composition(A,B)) -> top
% Current number of equations to process: 2352
% Current number of ordered equations: 0
% Current number of rules: 347
% New rule produced :
% [648]
% sk3 join composition(sk1,sk2) join complement(sk2) ->
% composition(sk1,sk2) join complement(sk2)
% Current number of equations to process: 2954
% Current number of ordered equations: 1
% Current number of rules: 348
% New rule produced :
% [649]
% complement(composition(sk1,sk2) join complement(sk2)) join complement(sk3) ->
% complement(sk3)
% Current number of equations to process: 2954
% Current number of ordered equations: 0
% Current number of rules: 349
% New rule produced :
% [650]
% composition(composition(A,top),converse(composition(B,top))) ->
% composition(A,converse(composition(B,top)))
% Current number of equations to process: 2953
% Current number of ordered equations: 0
% Current number of rules: 350
% New rule produced :
% [651]
% composition(A,composition(top,B)) join complement(B) ->
% composition(A,top) join complement(B)
% Current number of equations to process: 2948
% Current number of ordered equations: 0
% Current number of rules: 351
% New rule produced :
% [652]
% sk2 join composition(sk1,top) join complement(sk3) ->
% composition(sk1,top) join complement(sk3)
% Current number of equations to process: 2973
% Current number of ordered equations: 0
% Current number of rules: 352
% New rule produced :
% [653]
% composition(complement(one),composition(top,complement(one))) ->
% composition(complement(one),top)
% Current number of equations to process: 3461
% Current number of ordered equations: 0
% Current number of rules: 353
% New rule produced :
% [654]
% composition(composition(top,B),converse(composition(A,B))) ->
% converse(composition(composition(A,B),top))
% Current number of equations to process: 3465
% Current number of ordered equations: 0
% Current number of rules: 354
% New rule produced :
% [655]
% converse(composition(complement(one),complement(one))) ->
% composition(complement(one),complement(one))
% Rule
% [607]
% converse(composition(complement(one),complement(one))) join complement(one)
% -> composition(top,complement(one)) collapsed.
% Current number of equations to process: 3575
% Current number of ordered equations: 0
% Current number of rules: 354
% New rule produced :
% [656]
% composition(composition(top,complement(one)),complement(one)) ->
% composition(top,complement(one))
% Current number of equations to process: 3744
% Current number of ordered equations: 0
% Current number of rules: 355
% New rule produced :
% [657]
% composition(composition(complement(one),top),complement(one)) ->
% composition(top,complement(one))
% Current number of equations to process: 3890
% Current number of ordered equations: 0
% Current number of rules: 356
% New rule produced :
% [658]
% composition(complement(one),complement(composition(top,complement(one)))) ->
% zero
% Current number of equations to process: 4022
% Current number of ordered equations: 0
% Current number of rules: 357
% New rule produced :
% [659]
% composition(A,composition(complement(one),top)) <->
% composition(composition(A,top),complement(one))
% Rule
% [400]
% composition(top,composition(complement(one),top)) ->
% composition(complement(one),top) collapsed.
% Current number of equations to process: 4021
% Current number of ordered equations: 1
% Current number of rules: 357
% New rule produced :
% [660]
% composition(composition(A,top),complement(one)) <->
% composition(A,composition(complement(one),top))
% Current number of equations to process: 4021
% Current number of ordered equations: 0
% Current number of rules: 358
% New rule produced :
% [661]
% composition(composition(complement(one),top),A) <->
% composition(top,composition(complement(one),A))
% Current number of equations to process: 4020
% Current number of ordered equations: 1
% Current number of rules: 359
% New rule produced :
% [662]
% composition(top,composition(complement(one),A)) <->
% composition(composition(complement(one),top),A)
% Current number of equations to process: 4020
% Current number of ordered equations: 0
% Current number of rules: 360
% New rule produced :
% [663]
% composition(A,composition(top,complement(one))) <->
% composition(composition(A,complement(one)),top)
% Current number of equations to process: 4019
% Current number of ordered equations: 1
% Current number of rules: 361
% New rule produced :
% [664]
% composition(composition(A,complement(one)),top) <->
% composition(A,composition(top,complement(one)))
% Current number of equations to process: 4019
% Current number of ordered equations: 0
% Current number of rules: 362
% New rule produced :
% [665]
% composition(composition(top,complement(one)),A) <->
% composition(complement(one),composition(top,A))
% Rule
% [540]
% composition(composition(top,complement(one)),top) ->
% composition(top,complement(one)) collapsed.
% Current number of equations to process: 4018
% Current number of ordered equations: 1
% Current number of rules: 362
% New rule produced :
% [666]
% composition(complement(one),composition(top,A)) <->
% composition(composition(top,complement(one)),A)
% Current number of equations to process: 4018
% Current number of ordered equations: 0
% Current number of rules: 363
% New rule produced :
% [667]
% one join composition(A,complement(composition(complement(one),top))) -> one
% Current number of equations to process: 4017
% Current number of ordered equations: 0
% Current number of rules: 364
% New rule produced :
% [668]
% composition(composition(complement(one),top),A) join A -> composition(top,A)
% Current number of equations to process: 4016
% Current number of ordered equations: 0
% Current number of rules: 365
% New rule produced :
% [669]
% complement(composition(top,composition(A,top))) join complement(A) ->
% complement(A)
% Current number of equations to process: 4589
% Current number of ordered equations: 0
% Current number of rules: 366
% New rule produced :
% [670]
% composition(top,complement(composition(top,complement(one)))) ->
% complement(composition(complement(one),top))
% Current number of equations to process: 4652
% Current number of ordered equations: 0
% Current number of rules: 367
% New rule produced :
% [671]
% composition(composition(A,top),complement(one)) join A -> composition(A,top)
% Current number of equations to process: 4747
% Current number of ordered equations: 0
% Current number of rules: 368
% New rule produced :
% [672]
% composition(A,composition(complement(one),top)) join A -> composition(A,top)
% Current number of equations to process: 889
% Current number of ordered equations: 0
% Current number of rules: 369
% New rule produced :
% [673]
% composition(converse(A),composition(complement(one),top)) ->
% converse(composition(composition(top,complement(one)),A))
% Current number of equations to process: 1310
% Current number of ordered equations: 0
% Current number of rules: 370
% New rule produced :
% [674]
% composition(composition(top,complement(one)),converse(A)) ->
% converse(composition(A,composition(complement(one),top)))
% Current number of equations to process: 1308
% Current number of ordered equations: 1
% Current number of rules: 371
% Rule [602]
% composition(complement(one),composition(top,A)) <->
% converse(composition(converse(A),composition(top,complement(one)))) is composed into 
% [602]
% composition(complement(one),composition(top,A)) <->
% converse(converse(composition(composition(complement(one),top),A)))
% Rule [565]
% converse(composition(complement(one),composition(top,A))) <->
% composition(converse(A),composition(top,complement(one))) is composed into 
% [565]
% converse(composition(complement(one),composition(top,A))) <->
% converse(composition(composition(complement(one),top),A))
% New rule produced :
% [675]
% composition(converse(A),composition(top,complement(one))) ->
% converse(composition(composition(complement(one),top),A))
% Rule
% [566]
% composition(converse(A),composition(top,complement(one))) <->
% converse(composition(complement(one),composition(top,A))) collapsed.
% Rule
% [601]
% converse(composition(converse(A),composition(top,complement(one)))) <->
% composition(complement(one),composition(top,A)) collapsed.
% Current number of equations to process: 1308
% Current number of ordered equations: 0
% Current number of rules: 370
% Rule [600]
% composition(composition(A,top),complement(one)) <->
% converse(composition(composition(complement(one),top),converse(A))) is composed into 
% [600]
% composition(composition(A,top),complement(one)) <->
% converse(converse(composition(A,composition(top,complement(one)))))
% Rule [564]
% converse(composition(composition(A,top),complement(one))) <->
% composition(composition(complement(one),top),converse(A)) is composed into 
% [564]
% converse(composition(composition(A,top),complement(one))) <->
% converse(composition(A,composition(top,complement(one))))
% New rule produced :
% [676]
% composition(composition(complement(one),top),converse(A)) ->
% converse(composition(A,composition(top,complement(one))))
% Rule
% [563]
% composition(composition(complement(one),top),converse(A)) <->
% converse(composition(composition(A,top),complement(one))) collapsed.
% Rule
% [599]
% converse(composition(composition(complement(one),top),converse(A))) <->
% composition(composition(A,top),complement(one)) collapsed.
% Current number of equations to process: 1307
% Current number of ordered equations: 0
% Current number of rules: 369
% New rule produced :
% [677]
% composition(composition(complement(one),top),complement(composition(top,
% complement(one)))) ->
% zero
% Current number of equations to process: 1302
% Current number of ordered equations: 0
% Current number of rules: 370
% New rule produced :
% [678]
% composition(top,complement(one)) join complement(composition(complement(one),top))
% -> top
% Current number of equations to process: 1288
% Current number of ordered equations: 1
% Current number of rules: 371
% New rule produced :
% [679]
% composition(complement(one),top) join complement(composition(A,complement(one)))
% -> top
% Current number of equations to process: 1288
% Current number of ordered equations: 0
% Current number of rules: 372
% New rule produced :
% [680]
% one join complement(composition(A,complement(composition(complement(one),top))))
% -> top
% Current number of equations to process: 1283
% Current number of ordered equations: 0
% Current number of rules: 373
% New rule produced :
% [681]
% composition(top,complement(one)) join complement(composition(complement(one),A))
% -> top
% Rule
% [678]
% composition(top,complement(one)) join complement(composition(complement(one),top))
% -> top collapsed.
% Current number of equations to process: 1279
% Current number of ordered equations: 0
% Current number of rules: 373
% New rule produced :
% [682]
% composition(top,composition(complement(A),top)) join composition(top,A) ->
% top
% Current number of equations to process: 1277
% Current number of ordered equations: 0
% Current number of rules: 374
% New rule produced :
% [683]
% composition(composition(top,A),top) join composition(complement(A),top) ->
% top
% Current number of equations to process: 1276
% Current number of ordered equations: 0
% Current number of rules: 375
% New rule produced :
% [684]
% composition(top,complement(A)) join composition(composition(top,A),top) ->
% top
% Current number of equations to process: 1274
% Current number of ordered equations: 0
% Current number of rules: 376
% New rule produced :
% [685]
% composition(top,A) join composition(composition(top,complement(A)),top) ->
% top
% Current number of equations to process: 1271
% Current number of ordered equations: 0
% Current number of rules: 377
% New rule produced :
% [686]
% composition(composition(top,complement(A)),top) join composition(A,top) ->
% top
% Current number of equations to process: 1270
% Current number of ordered equations: 0
% Current number of rules: 378
% New rule produced :
% [687]
% composition(top,composition(A,top)) join composition(top,complement(A)) ->
% top
% Current number of equations to process: 1268
% Current number of ordered equations: 0
% Current number of rules: 379
% New rule produced :
% [688]
% composition(top,composition(A,top)) join complement(composition(B,A)) -> top
% Current number of equations to process: 3171
% Current number of ordered equations: 0
% Current number of rules: 380
% New rule produced :
% [689] complement(composition(top,composition(complement(A),top))) join A -> A
% Current number of equations to process: 3848
% Current number of ordered equations: 0
% Current number of rules: 381
% New rule produced :
% [690]
% composition(A,top) join complement(composition(complement(A),top)) ->
% composition(A,top)
% Current number of equations to process: 4338
% Current number of ordered equations: 0
% Current number of rules: 382
% New rule produced :
% [691]
% one join converse(complement(composition(A,top) join complement(one))) -> one
% Current number of equations to process: 4337
% Current number of ordered equations: 0
% Current number of rules: 383
% New rule produced :
% [692] one join converse(complement(complement(one) join A)) -> one
% Rule
% [691]
% one join converse(complement(composition(A,top) join complement(one))) -> one
% collapsed.
% Current number of equations to process: 4348
% Current number of ordered equations: 0
% Current number of rules: 383
% New rule produced :
% [693]
% converse(complement(composition(converse(B),A))) <->
% complement(composition(converse(A),B))
% Current number of equations to process: 4586
% Current number of ordered equations: 1
% Current number of rules: 384
% New rule produced :
% [694]
% complement(composition(converse(A),B)) <->
% converse(complement(composition(converse(B),A)))
% Current number of equations to process: 4586
% Current number of ordered equations: 0
% Current number of rules: 385
% New rule produced :
% [695]
% complement(converse(A) join converse(B)) -> converse(complement(A join B))
% Current number of equations to process: 4585
% Current number of ordered equations: 0
% Current number of rules: 386
% New rule produced :
% [696]
% converse(complement(composition(B,converse(A)))) <->
% complement(composition(A,converse(B)))
% Current number of equations to process: 4584
% Current number of ordered equations: 1
% Current number of rules: 387
% New rule produced :
% [697]
% complement(composition(A,converse(B))) <->
% converse(complement(composition(B,converse(A))))
% Current number of equations to process: 4584
% Current number of ordered equations: 0
% Current number of rules: 388
% New rule produced :
% [698]
% converse(complement(composition(complement(one),top))) ->
% complement(composition(top,complement(one)))
% Current number of equations to process: 4582
% Current number of ordered equations: 0
% Current number of rules: 389
% New rule produced :
% [699]
% converse(complement(composition(top,complement(one)))) ->
% complement(composition(complement(one),top))
% Current number of equations to process: 4581
% Current number of ordered equations: 0
% Current number of rules: 390
% New rule produced :
% [700] composition(complement(composition(top,A)),converse(A)) -> zero
% Rule
% [579]
% converse(composition(complement(composition(top,A)),converse(A))) -> zero
% collapsed.
% Rule
% [583]
% converse(composition(converse(A),composition(complement(composition(top,B)),
% converse(B)))) -> zero collapsed.
% Current number of equations to process: 4604
% Current number of ordered equations: 0
% Current number of rules: 389
% New rule produced :
% [701]
% composition(complement(composition(top,A)),converse(composition(B,A))) ->
% zero
% Rule
% [598]
% composition(complement(composition(top,A)),converse(composition(top,A))) ->
% zero collapsed.
% Current number of equations to process: 4888
% Current number of ordered equations: 0
% Current number of rules: 389
% New rule produced :
% [702]
% converse(composition(composition(top,complement(composition(top,A))),
% converse(A))) -> zero
% Current number of equations to process: 4968
% Current number of ordered equations: 0
% Current number of rules: 390
% New rule produced :
% [703]
% composition(composition(complement(one),top),complement(composition(complement(one),top)))
% -> zero
% Current number of equations to process: 4962
% Current number of ordered equations: 1
% Current number of rules: 391
% New rule produced :
% [704]
% composition(composition(A,complement(one)),complement(composition(top,
% complement(one)))) ->
% zero
% Current number of equations to process: 4962
% Current number of ordered equations: 0
% Current number of rules: 392
% New rule produced :
% [705]
% composition(complement(composition(complement(one),top)),composition(top,
% complement(one))) ->
% zero
% Current number of equations to process: 4961
% Current number of ordered equations: 0
% Current number of rules: 393
% New rule produced :
% [706]
% one join converse(composition(complement(composition(complement(one),top)),top))
% -> one
% Current number of equations to process: 1781
% Current number of ordered equations: 0
% Current number of rules: 394
% New rule produced :
% [707]
% one join composition(complement(composition(complement(one),A)),converse(A))
% -> one
% Current number of equations to process: 1806
% Current number of ordered equations: 0
% Current number of rules: 395
% New rule produced :
% [708]
% composition(complement(one),top) join composition(A,complement(one)) ->
% composition(top,complement(one))
% Current number of equations to process: 2684
% Current number of ordered equations: 0
% Current number of rules: 396
% New rule produced :
% [709]
% composition(top,complement(one)) join composition(complement(one),A) ->
% composition(complement(one),top)
% Current number of equations to process: 2682
% Current number of ordered equations: 0
% Current number of rules: 397
% New rule produced :
% [710]
% composition(top,complement(one)) join composition(top,A) ->
% composition(complement(one),top) join A
% Current number of equations to process: 2678
% Current number of ordered equations: 0
% Current number of rules: 398
% New rule produced :
% [711]
% composition(complement(A),top) join complement(composition(A,top)) ->
% composition(complement(A),top)
% Current number of equations to process: 2677
% Current number of ordered equations: 0
% Current number of rules: 399
% New rule produced :
% [712]
% one join complement(composition(complement(A),converse(A))) ->
% complement(composition(complement(A),converse(A)))
% Current number of equations to process: 2676
% Current number of ordered equations: 0
% Current number of rules: 400
% New rule produced :
% [713]
% composition(composition(A,complement(composition(top,complement(one)))),
% complement(one)) -> zero
% Current number of equations to process: 2895
% Current number of ordered equations: 0
% Current number of rules: 401
% New rule produced :
% [714]
% composition(complement(one),composition(complement(composition(top,complement(one))),A))
% -> zero
% Current number of equations to process: 2904
% Current number of ordered equations: 0
% Current number of rules: 402
% New rule produced :
% [715]
% composition(complement(composition(top,complement(one))),composition(
% complement(one),A))
% -> zero
% Current number of equations to process: 3147
% Current number of ordered equations: 0
% Current number of rules: 403
% New rule produced :
% [716]
% composition(composition(top,A),composition(converse(A),B)) ->
% composition(converse(composition(A,top)),B)
% Current number of equations to process: 3146
% Current number of ordered equations: 0
% Current number of rules: 404
% NeCputime limit exceeded (core dumped)
% 
% EOF
%------------------------------------------------------------------------------