%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : REL010-1 : TPTP v6.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n114.star.cs.uiowa.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory   : 32286.75MB
% OS       : Linux 2.6.32-431.11.2.el6.x86_64
% CPULimit : 300s
% DateTime : Tue Jun 10 00:30:51 EDT 2014

% Result   : Timeout 300.04s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : REL010-1 : TPTP v6.0.0. Released v4.0.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n114.star.cs.uiowa.edu
% % Model    : x86_64 x86_64
% % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory   : 32286.75MB
% % OS       : Linux 2.6.32-431.11.2.el6.x86_64
% % CPULimit : 300
% % DateTime : Thu Jun  5 17:01:43 CDT 2014
% % CPUTime  : 300.04 
% Processing problem /tmp/CiME_61842_n114.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));
% meet(composition(sk1,sk2),sk3) = zero;
% ";
% 
% 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 " meet(sk2,composition(converse(sk1),sk3)) = zero;"
% ;
% (*
% 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)),
% meet(composition(sk1,sk2),sk3) = zero }
% (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 = { meet(sk2,composition(converse(sk1),sk3)) =
% zero } (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] meet(composition(sk1,sk2),sk3) -> zero
% Current number of equations to process: 0
% Current number of ordered equations: 8
% Current number of rules: 5
% New rule produced : [6] converse(A join B) -> converse(A) join converse(B)
% Current number of equations to process: 0
% Current number of ordered equations: 7
% Current number of rules: 6
% New rule produced :
% [7] composition(converse(B),converse(A)) -> converse(composition(A,B))
% Current number of equations to process: 0
% Current number of ordered equations: 6
% Current number of rules: 7
% New rule produced :
% [8] composition(A,composition(B,C)) <-> composition(composition(A,B),C)
% Current number of equations to process: 23
% Current number of ordered equations: 11
% Current number of rules: 8
% New rule produced :
% [9] composition(composition(A,B),C) <-> composition(A,composition(B,C))
% Current number of equations to process: 23
% Current number of ordered equations: 10
% Current number of rules: 9
% New rule produced :
% [10] meet(A,B) -> complement(complement(A) join complement(B))
% Rule [4] meet(A,complement(A)) -> zero collapsed.
% Rule [5] meet(composition(sk1,sk2),sk3) -> zero collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% complement(complement(sk2) join complement(composition(converse(sk1),sk3))) = zero
% 
% Current number of equations to process: 25
% Current number of ordered equations: 9
% Current number of rules: 8
% New rule produced : [11] complement(top) -> zero
% Current number of equations to process: 23
% Current number of ordered equations: 10
% Current number of rules: 9
% New rule produced :
% [12]
% complement(complement(sk3) join complement(composition(sk1,sk2))) -> zero
% Current number of equations to process: 23
% Current number of ordered equations: 9
% Current number of rules: 10
% New rule produced :
% [13] 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 :
% [14]
% 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 :
% [15]
% 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 : [16] 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 :
% [17] 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 :
% [18] 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 :
% [19] 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 :
% [20] composition(A,converse(B)) <-> converse(composition(B,converse(A)))
% Current number of equations to process: 23
% Current number of ordered equations: 1
% Current number of rules: 18
% New rule produced :
% [21] composition(converse(A),B) <-> converse(composition(converse(B),A))
% The conjecture has been reduced. 
% Conjecture is now:
% complement(complement(sk2) join complement(converse(composition(converse(sk3),sk1)))) = zero
% 
% Current number of equations to process: 23
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [22] 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 : [23] 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 :
% [24] zero join complement(sk3) join complement(composition(sk1,sk2)) -> top
% Current number of equations to process: 45
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [25] composition(complement(B),A) join composition(B,A) -> composition(top,A)
% Current number of equations to process: 44
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [26] top join composition(converse(A),complement(composition(A,B))) -> top
% Current number of equations to process: 43
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [27] top join complement(A join B) join B -> top join complement(A)
% Current number of equations to process: 42
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [28]
% composition(A,converse(composition(B,C))) <->
% composition(composition(A,converse(C)),converse(B))
% Current number of equations to process: 41
% Current number of ordered equations: 1
% Current number of rules: 26
% New rule produced :
% [29]
% composition(composition(A,converse(C)),converse(B)) <->
% composition(A,converse(composition(B,C)))
% Current number of equations to process: 41
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [30]
% composition(converse(B),composition(converse(A),C)) <->
% composition(converse(composition(A,B)),C)
% Current number of equations to process: 40
% Current number of ordered equations: 1
% Current number of rules: 28
% New rule produced :
% [31]
% composition(converse(composition(A,B)),C) <->
% composition(converse(B),composition(converse(A),C))
% Current number of equations to process: 40
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [32] top join complement(complement(A join B) join B) -> top join A
% Current number of equations to process: 37
% Current number of ordered equations: 0
% Current number of rules: 30
% 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: 36
% Current number of ordered equations: 1
% Current number of rules: 31
% 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: 36
% Current number of ordered equations: 0
% Current number of rules: 32
% 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: 33
% Current number of ordered equations: 5
% Current number of rules: 33
% 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: 33
% Current number of ordered equations: 4
% Current number of rules: 34
% 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: 33
% Current number of ordered equations: 3
% Current number of rules: 35
% 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: 33
% Current number of ordered equations: 2
% Current number of rules: 36
% 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: 33
% Current number of ordered equations: 1
% Current number of rules: 37
% 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: 33
% Current number of ordered equations: 0
% Current number of rules: 38
% 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: 32
% Current number of ordered equations: 1
% Current number of rules: 39
% 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: 32
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [43]
% composition(converse(A),complement(A)) join complement(one) ->
% complement(one)
% Current number of equations to process: 40
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [44]
% zero join composition(converse(A),complement(composition(A,top))) -> zero
% Current number of equations to process: 45
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [45] zero join complement(complement(A) join complement(A)) -> A
% Current number of equations to process: 75
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [46] 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: 74
% Current number of ordered equations: 1
% Current number of rules: 43
% New rule produced : [47] top join A <-> top join complement(B)
% Rule [16] top join complement(complement(A)) -> top join A collapsed.
% Rule
% [26] top join composition(converse(A),complement(composition(A,B))) -> top
% collapsed.
% Rule [27] top join complement(A join B) join B -> top join complement(A)
% collapsed.
% Rule [46] top join complement(complement(A) join B) -> top join complement(B)
% collapsed.
% Current number of equations to process: 75
% Current number of ordered equations: 2
% Current number of rules: 40
% Rule [47] top join A <-> top join complement(B) is composed into [47]
% top join A
% -> top
% New rule produced : [48] top join complement(B) -> top
% Current number of equations to process: 74
% Current number of ordered equations: 1
% Current number of rules: 41
% New rule produced :
% [49] zero join complement(complement(complement(A)) join A) -> complement(A)
% Current number of equations to process: 73
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced : [50] complement(complement(A)) -> A
% Rule
% [49] zero join complement(complement(complement(A)) join A) -> complement(A)
% collapsed.
% Current number of equations to process: 72
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced : [51] zero join complement(A join A) -> complement(A)
% Rule [45] zero join complement(complement(A) join complement(A)) -> A
% collapsed.
% Current number of equations to process: 71
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [52]
% converse(composition(C,A join B)) ->
% converse(composition(C,A)) join converse(composition(C,B))
% Current number of equations to process: 69
% Current number of ordered equations: 1
% Current number of rules: 43
% New rule produced :
% [53]
% composition(converse(A),converse(B) join converse(C)) ->
% converse(composition(B,A)) join converse(composition(C,A))
% Current number of equations to process: 69
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [54]
% composition(A,complement(composition(converse(A),B))) join complement(B) ->
% complement(B)
% Current number of equations to process: 68
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [55]
% converse(complement(A join B)) join converse(A) join converse(B) ->
% converse(top)
% Current number of equations to process: 64
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced : [56] zero join complement(zero join complement(A)) -> A
% Current number of equations to process: 78
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [57] zero join complement(composition(sk1,sk2) join complement(sk3)) -> sk3
% Current number of equations to process: 85
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [58]
% 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: 49
% New rule produced :
% [59] 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: 50
% New rule produced :
% [60]
% zero join complement(sk3 join complement(composition(sk1,sk2))) ->
% composition(sk1,sk2)
% Current number of equations to process: 81
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced : [61] converse(top) join complement(converse(A)) -> top
% Current number of equations to process: 101
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [62] converse(complement(converse(A))) join A -> converse(top)
% Current number of equations to process: 100
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced : [63] converse(zero) join converse(top) -> converse(top)
% Current number of equations to process: 101
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced : [64] composition(converse(one),A) -> A
% Current number of equations to process: 110
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced : [65] converse(top) join converse(A) -> converse(top)
% Rule [63] converse(zero) join converse(top) -> converse(top) collapsed.
% Current number of equations to process: 143
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [66]
% converse(composition(converse(A),B)) <->
% composition(converse(composition(one,B)),A)
% Current number of equations to process: 147
% Current number of ordered equations: 1
% Current number of rules: 56
% New rule produced :
% [67]
% composition(converse(composition(one,B)),A) <->
% converse(composition(converse(A),B))
% Current number of equations to process: 147
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [68] composition(zero,A) join composition(top,A) -> composition(top,A)
% Current number of equations to process: 146
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [69]
% composition(A,converse(composition(B,converse(one)))) ->
% composition(A,converse(B))
% Current number of equations to process: 145
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [70]
% converse(composition(converse(composition(one,A)),B)) <->
% composition(converse(B),A)
% Current number of equations to process: 144
% Current number of ordered equations: 1
% Current number of rules: 60
% New rule produced :
% [71]
% composition(converse(B),A) <->
% converse(composition(converse(composition(one,A)),B))
% Current number of equations to process: 144
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [72]
% composition(A,composition(composition(one,B),C)) ->
% composition(A,composition(B,C))
% Current number of equations to process: 146
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [73]
% converse(composition(A,composition(B,converse(C)))) <->
% composition(C,converse(composition(A,B)))
% Current number of equations to process: 143
% Current number of ordered equations: 1
% Current number of rules: 63
% New rule produced :
% [74]
% composition(C,converse(composition(A,B))) <->
% converse(composition(A,composition(B,converse(C))))
% Current number of equations to process: 143
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [75]
% converse(composition(composition(converse(A),B),C)) <->
% composition(converse(composition(B,C)),A)
% Current number of equations to process: 142
% Current number of ordered equations: 1
% Current number of rules: 65
% New rule produced :
% [76]
% composition(converse(composition(B,C)),A) <->
% converse(composition(composition(converse(A),B),C))
% Current number of equations to process: 142
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [77]
% composition(A,converse(composition(B,converse(C)))) <->
% composition(composition(A,C),converse(B))
% Current number of equations to process: 141
% Current number of ordered equations: 1
% Current number of rules: 67
% New rule produced :
% [78]
% composition(composition(A,C),converse(B)) <->
% composition(A,converse(composition(B,converse(C))))
% Current number of equations to process: 141
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [79]
% converse(composition(C,converse(composition(A,B)))) <->
% composition(A,composition(B,converse(C)))
% Current number of equations to process: 139
% Current number of ordered equations: 3
% Current number of rules: 69
% New rule produced :
% [80]
% composition(A,composition(B,converse(C))) <->
% converse(composition(C,converse(composition(A,B))))
% Current number of equations to process: 139
% Current number of ordered equations: 2
% Current number of rules: 70
% New rule produced :
% [81]
% composition(B,composition(converse(A),C)) <->
% composition(converse(composition(A,converse(B))),C)
% Current number of equations to process: 139
% Current number of ordered equations: 1
% Current number of rules: 71
% New rule produced :
% [82]
% composition(converse(composition(A,converse(B))),C) <->
% composition(B,composition(converse(A),C))
% Current number of equations to process: 139
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [83]
% converse(composition(converse(composition(B,C)),A)) <->
% composition(composition(converse(A),B),C)
% Current number of equations to process: 137
% Current number of ordered equations: 3
% Current number of rules: 73
% New rule produced :
% [84]
% composition(A,converse(composition(converse(B),C))) <->
% composition(composition(A,converse(C)),B)
% Current number of equations to process: 137
% Current number of ordered equations: 2
% Current number of rules: 74
% New rule produced :
% [85]
% composition(composition(converse(A),B),C) <->
% converse(composition(converse(composition(B,C)),A))
% Current number of equations to process: 137
% Current number of ordered equations: 1
% Current number of rules: 75
% New rule produced :
% [86]
% composition(composition(A,converse(C)),B) <->
% composition(A,converse(composition(converse(B),C)))
% Current number of equations to process: 137
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [87]
% composition(converse(B),composition(A,C)) <->
% composition(converse(composition(converse(A),B)),C)
% Current number of equations to process: 136
% Current number of ordered equations: 1
% Current number of rules: 77
% New rule produced :
% [88]
% composition(converse(composition(converse(A),B)),C) <->
% composition(converse(B),composition(A,C))
% Current number of equations to process: 136
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [89] converse(top) join complement(converse(A) join B) join B -> top
% Current number of equations to process: 135
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [90]
% converse(composition(C,composition(B,converse(A)))) <->
% composition(composition(A,converse(B)),converse(C))
% Current number of equations to process: 133
% Current number of ordered equations: 3
% Current number of rules: 80
% New rule produced :
% [91]
% converse(composition(composition(C,converse(B)),A)) <->
% composition(converse(A),composition(B,converse(C)))
% Current number of equations to process: 133
% Current number of ordered equations: 2
% Current number of rules: 81
% New rule produced :
% [92]
% composition(converse(A),composition(B,converse(C))) <->
% converse(composition(composition(C,converse(B)),A))
% Current number of equations to process: 133
% Current number of ordered equations: 1
% Current number of rules: 82
% New rule produced :
% [93]
% composition(composition(A,converse(B)),converse(C)) <->
% converse(composition(C,composition(B,converse(A))))
% Current number of equations to process: 133
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [94]
% converse(composition(C,composition(converse(B),A))) <->
% composition(composition(converse(A),B),converse(C))
% Current number of equations to process: 130
% Current number of ordered equations: 3
% Current number of rules: 84
% New rule produced :
% [95]
% converse(composition(composition(converse(C),B),A)) <->
% composition(converse(A),composition(converse(B),C))
% Current number of equations to process: 130
% Current number of ordered equations: 2
% Current number of rules: 85
% New rule produced :
% [96]
% composition(converse(A),composition(converse(B),C)) <->
% converse(composition(composition(converse(C),B),A))
% Current number of equations to process: 130
% Current number of ordered equations: 1
% Current number of rules: 86
% New rule produced :
% [97]
% composition(composition(converse(A),B),converse(C)) <->
% converse(composition(C,composition(converse(B),A)))
% Current number of equations to process: 130
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [98] composition(top,A) join complement(composition(B,A)) -> top
% Current number of equations to process: 153
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [99]
% composition(composition(A,converse(one)),converse(B)) ->
% composition(A,converse(B))
% Current number of equations to process: 171
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [100]
% converse(composition(composition(C,converse(B)),converse(A))) <->
% composition(A,composition(B,converse(C)))
% Current number of equations to process: 174
% Current number of ordered equations: 1
% Current number of rules: 90
% New rule produced :
% [101]
% composition(A,composition(B,converse(C))) <->
% converse(composition(composition(C,converse(B)),converse(A)))
% Current number of equations to process: 174
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [102]
% converse(composition(composition(converse(C),B),converse(A))) <->
% composition(A,composition(converse(B),C))
% Current number of equations to process: 173
% Current number of ordered equations: 1
% Current number of rules: 92
% New rule produced :
% [103]
% composition(A,composition(converse(B),C)) <->
% converse(composition(composition(converse(C),B),converse(A)))
% Current number of equations to process: 173
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [104]
% converse(composition(converse(C),composition(B,converse(A)))) <->
% composition(composition(A,converse(B)),C)
% Current number of equations to process: 172
% Current number of ordered equations: 1
% Current number of rules: 94
% New rule produced :
% [105]
% composition(composition(A,converse(B)),C) <->
% converse(composition(converse(C),composition(B,converse(A))))
% Current number of equations to process: 172
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [106]
% converse(composition(converse(C),composition(converse(B),A))) <->
% composition(composition(converse(A),B),C)
% Current number of equations to process: 171
% Current number of ordered equations: 1
% Current number of rules: 96
% New rule produced :
% [107]
% composition(composition(converse(A),B),C) <->
% converse(composition(converse(C),composition(converse(B),A)))
% Current number of equations to process: 171
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [108]
% converse(composition(composition(A,B),converse(C))) <->
% composition(composition(C,converse(B)),converse(A))
% Current number of equations to process: 186
% Current number of ordered equations: 1
% Current number of rules: 98
% New rule produced :
% [109]
% composition(composition(C,converse(B)),converse(A)) <->
% converse(composition(composition(A,B),converse(C)))
% Current number of equations to process: 186
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [110]
% converse(composition(composition(A,converse(B)),converse(C))) <->
% composition(composition(C,B),converse(A))
% Current number of equations to process: 185
% Current number of ordered equations: 1
% Current number of rules: 100
% New rule produced :
% [111]
% composition(composition(C,B),converse(A)) <->
% converse(composition(composition(A,converse(B)),converse(C)))
% Current number of equations to process: 185
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [112]
% converse(composition(A,converse(composition(B,C)))) <->
% composition(B,converse(composition(A,converse(C))))
% Current number of equations to process: 201
% Current number of ordered equations: 1
% Current number of rules: 102
% New rule produced :
% [113]
% composition(B,converse(composition(A,converse(C)))) <->
% converse(composition(A,converse(composition(B,C))))
% Current number of equations to process: 201
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [114]
% converse(composition(A,converse(composition(B,converse(C))))) <->
% composition(B,converse(composition(A,C)))
% Current number of equations to process: 200
% Current number of ordered equations: 1
% Current number of rules: 104
% New rule produced :
% [115]
% composition(B,converse(composition(A,C))) <->
% converse(composition(A,converse(composition(B,converse(C)))))
% Current number of equations to process: 200
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [116]
% converse(composition(converse(composition(A,B)),C)) <->
% composition(converse(composition(converse(A),C)),B)
% Current number of equations to process: 215
% Current number of ordered equations: 1
% Current number of rules: 106
% New rule produced :
% [117]
% composition(converse(composition(converse(A),C)),B) <->
% converse(composition(converse(composition(A,B)),C))
% Current number of equations to process: 215
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [118]
% converse(composition(converse(composition(converse(A),B)),C)) <->
% composition(converse(composition(A,C)),B)
% Current number of equations to process: 214
% Current number of ordered equations: 1
% Current number of rules: 108
% New rule produced :
% [119]
% composition(converse(composition(A,C)),B) <->
% converse(composition(converse(composition(converse(A),B)),C))
% Current number of equations to process: 214
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [120]
% converse(composition(converse(A),composition(B,C))) <->
% composition(converse(C),composition(converse(B),A))
% Current number of equations to process: 234
% Current number of ordered equations: 1
% Current number of rules: 110
% New rule produced :
% [121]
% composition(converse(C),composition(converse(B),A)) <->
% converse(composition(converse(A),composition(B,C)))
% Current number of equations to process: 234
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [122]
% converse(composition(converse(A),composition(converse(B),C))) <->
% composition(converse(C),composition(B,A))
% Current number of equations to process: 235
% Current number of ordered equations: 1
% Current number of rules: 112
% New rule produced :
% [123]
% composition(converse(C),composition(B,A)) <->
% converse(composition(converse(A),composition(converse(B),C)))
% Current number of equations to process: 235
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [124]
% composition(A,complement(converse(A))) join complement(one) ->
% complement(one)
% Current number of equations to process: 755
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [125]
% converse(composition(converse(zero),top)) join complement(one) ->
% complement(one)
% Current number of equations to process: 754
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [126]
% complement(one) join complement(composition(converse(A),complement(A))) ->
% top
% Current number of equations to process: 756
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced : [127] zero join one -> one
% Current number of equations to process: 759
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [128]
% zero join composition(A,complement(composition(converse(A),top))) -> zero
% Current number of equations to process: 779
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [129]
% zero join complement(composition(converse(A),complement(composition(A,top))))
% -> top
% Current number of equations to process: 778
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [130] composition(top,A) join composition(B,A) -> composition(top,A)
% Rule [68] composition(zero,A) join composition(top,A) -> composition(top,A)
% collapsed.
% Current number of equations to process: 787
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced : [131] complement(zero) -> top
% Current number of equations to process: 789
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [132] complement(sk3) join complement(composition(sk1,sk2)) -> top
% Rule
% [12]
% complement(complement(sk3) join complement(composition(sk1,sk2))) -> zero
% collapsed.
% Rule
% [24] zero join complement(sk3) join complement(composition(sk1,sk2)) -> top
% collapsed.
% Current number of equations to process: 789
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [133] complement(complement(A join A) join A) -> zero join zero
% Current number of equations to process: 814
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [134] complement(zero join A) join complement(B) join A -> top
% Current number of equations to process: 815
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [135]
% converse(zero) join converse(complement(A join A)) -> converse(complement(A))
% Current number of equations to process: 814
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced : [136] A join A <-> zero join A
% Current number of equations to process: 819
% Current number of ordered equations: 1
% Current number of rules: 123
% New rule produced : [137] zero join A <-> A join A
% Current number of equations to process: 819
% Current number of ordered equations: 0
% Current number of rules: 124
% Rule [133] complement(complement(A join A) join A) -> zero join zero is composed into 
% [133] complement(complement(A join A) join A) -> zero
% New rule produced : [138] zero join zero -> zero
% Current number of equations to process: 819
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [139]
% converse(composition(converse(A),complement(A))) join complement(one) ->
% complement(one)
% Current number of equations to process: 817
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [140]
% composition(converse(A),complement(composition(A,complement(B)))) join B -> B
% Current number of equations to process: 816
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [141]
% complement(B join B) join complement(A) <->
% complement(A join A) join complement(B)
% Current number of equations to process: 815
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [142] complement(complement(A join A) join A join B) -> zero
% Current number of equations to process: 814
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [143] composition(A,B join C) -> composition(A,B) join composition(A,C)
% Rule
% [52]
% converse(composition(C,A join B)) ->
% converse(composition(C,A)) join converse(composition(C,B)) collapsed.
% Rule
% [53]
% composition(converse(A),converse(B) join converse(C)) ->
% converse(composition(B,A)) join converse(composition(C,A)) collapsed.
% Current number of equations to process: 833
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [144]
% complement(complement(A) join B) join complement(A join B) -> complement(B)
% Rule
% [15]
% complement(complement(A) join complement(B)) join complement(complement(A) join B)
% -> A collapsed.
% Rule
% [59] complement(zero join complement(A)) join complement(zero join A) -> top
% collapsed.
% Current number of equations to process: 850
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [145]
% composition(A,complement(composition(converse(A),complement(B)))) join B -> B
% Current number of equations to process: 877
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [146] converse(top) join complement(converse(A) join converse(B)) -> top
% Current number of equations to process: 886
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [147]
% composition(converse(B),complement(composition(B,top))) join complement(A) ->
% complement(A)
% Current number of equations to process: 892
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced : [148] zero join converse(top) -> converse(top)
% Current number of equations to process: 897
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [149]
% converse(composition(converse(A),complement(A))) join converse(complement(one))
% -> converse(complement(one))
% Current number of equations to process: 898
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [150]
% complement(composition(A,complement(composition(converse(A),B)))) join 
% complement(B) -> top
% Current number of equations to process: 895
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [151]
% complement(converse(complement(A join A)) join converse(A)) ->
% zero join complement(converse(top))
% Current number of equations to process: 893
% Current number of ordered equations: 0
% Current number of rules: 134
% Rule [151]
% complement(converse(complement(A join A)) join converse(A)) ->
% zero join complement(converse(top)) is composed into [151]
% complement(
% converse(complement(
% A join A)) join 
% converse(A)) ->
% zero join complement(top)
% Rule [62] converse(complement(converse(A))) join A -> converse(top) is composed into 
% [62] converse(complement(converse(A))) join A -> top
% Rule [55]
% converse(complement(A join B)) join converse(A) join converse(B) ->
% converse(top) is composed into [55]
% converse(complement(A join B)) join 
% converse(A) join converse(B) -> top
% Rule [17] converse(complement(A)) join converse(A) -> converse(top) is composed into 
% [17] converse(complement(A)) join converse(A) -> top
% New rule produced : [152] converse(top) -> top
% Rule [61] converse(top) join complement(converse(A)) -> top collapsed.
% Rule [65] converse(top) join converse(A) -> converse(top) collapsed.
% Rule [89] converse(top) join complement(converse(A) join B) join B -> top
% collapsed.
% Rule [146] converse(top) join complement(converse(A) join converse(B)) -> top
% collapsed.
% Rule [148] zero join converse(top) -> converse(top) collapsed.
% Current number of equations to process: 894
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced : [153] complement(zero join A) join A join B -> top
% Rule [134] complement(zero join A) join complement(B) join A -> top
% collapsed.
% Current number of equations to process: 898
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced : [154] zero join complement(zero join A) -> complement(A)
% Rule [56] zero join complement(zero join complement(A)) -> A collapsed.
% Current number of equations to process: 905
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [155] composition(converse(B),complement(composition(B,top))) join A -> A
% Rule
% [44]
% zero join composition(converse(A),complement(composition(A,top))) -> zero
% collapsed.
% Rule
% [147]
% composition(converse(B),complement(composition(B,top))) join complement(A) ->
% complement(A) collapsed.
% Current number of equations to process: 908
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [156]
% converse(zero) join converse(complement(zero join complement(A))) ->
% converse(A)
% Current number of equations to process: 912
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced : [157] complement(zero join A) join A -> top
% Rule [153] complement(zero join A) join A join B -> top collapsed.
% Current number of equations to process: 914
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced : [158] zero join A join A -> zero join A
% Current number of equations to process: 1005
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [159]
% complement(zero join complement(A)) join complement(B) ->
% complement(B) join A
% Current number of equations to process: 1003
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [160] sk3 join complement(zero join complement(A)) -> sk3 join A
% Current number of equations to process: 1040
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [161]
% zero join composition(sk1,sk2) join complement(sk3) ->
% zero join complement(sk3)
% Current number of equations to process: 1039
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [162] converse(complement(converse(zero))) join complement(A) -> top
% Current number of equations to process: 1124
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [163] sk3 join converse(complement(converse(zero))) -> top
% Current number of equations to process: 1129
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced : [164] converse(one) -> one
% Rule [64] composition(converse(one),A) -> A collapsed.
% Rule
% [69]
% composition(A,converse(composition(B,converse(one)))) ->
% composition(A,converse(B)) collapsed.
% Rule
% [99]
% composition(composition(A,converse(one)),converse(B)) ->
% composition(A,converse(B)) collapsed.
% Current number of equations to process: 1143
% Current number of ordered equations: 0
% Current number of rules: 134
% Rule [71]
% composition(converse(B),A) <->
% converse(composition(converse(composition(one,A)),B)) is composed into 
% [71] composition(converse(B),A) <-> converse(composition(converse(A),B))
% Rule [66]
% converse(composition(converse(A),B)) <->
% composition(converse(composition(one,B)),A) is composed into [66]
% converse(
% composition(
% converse(A),B))
% <->
% composition(
% converse(B),A)
% New rule produced : [165] composition(one,A) -> A
% Rule [22] composition(A,composition(one,B)) -> composition(A,B) collapsed.
% Rule
% [67]
% composition(converse(composition(one,B)),A) <->
% converse(composition(converse(A),B)) collapsed.
% Rule
% [70]
% converse(composition(converse(composition(one,A)),B)) <->
% composition(converse(B),A) collapsed.
% Rule
% [72]
% composition(A,composition(composition(one,B),C)) ->
% composition(A,composition(B,C)) collapsed.
% Current number of equations to process: 1142
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [166] converse(complement(converse(zero))) join composition(sk1,sk2) -> top
% Current number of equations to process: 1141
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [167]
% converse(complement(converse(composition(A,B)))) join composition(top,B) ->
% top
% Current number of equations to process: 1226
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [168]
% converse(complement(converse(complement(A join A)))) join complement(A) ->
% top
% Current number of equations to process: 1225
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [169]
% composition(B,converse(composition(converse(C),A))) <->
% composition(converse(composition(A,converse(B))),C)
% Current number of equations to process: 1223
% Current number of ordered equations: 1
% Current number of rules: 135
% New rule produced :
% [170]
% composition(converse(composition(A,converse(B))),C) <->
% composition(B,converse(composition(converse(C),A)))
% Current number of equations to process: 1223
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [171]
% converse(composition(composition(A,converse(B)),C)) <->
% composition(composition(converse(C),B),converse(A))
% Current number of equations to process: 1436
% Current number of ordered equations: 1
% Current number of rules: 137
% New rule produced :
% [172]
% composition(composition(converse(C),B),converse(A)) <->
% converse(composition(composition(A,converse(B)),C))
% Current number of equations to process: 1436
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [173]
% converse(composition(A,composition(converse(B),C))) <->
% composition(converse(C),composition(B,converse(A)))
% Current number of equations to process: 1549
% Current number of ordered equations: 1
% Current number of rules: 139
% New rule produced :
% [174]
% composition(converse(C),composition(B,converse(A))) <->
% converse(composition(A,composition(converse(B),C)))
% Current number of equations to process: 1549
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [175]
% sk3 join sk3 join complement(composition(sk1,sk2)) ->
% zero join complement(composition(sk1,sk2))
% Current number of equations to process: 2247
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [176]
% converse(composition(converse(C),composition(B,converse(A)))) <->
% composition(A,composition(converse(B),C))
% Current number of equations to process: 2246
% Current number of ordered equations: 1
% Current number of rules: 142
% New rule produced :
% [177]
% composition(A,composition(converse(B),C)) <->
% converse(composition(converse(C),composition(B,converse(A))))
% Current number of equations to process: 2246
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [178]
% converse(composition(composition(converse(C),B),converse(A))) <->
% composition(composition(A,converse(B)),C)
% Current number of equations to process: 2245
% Current number of ordered equations: 1
% Current number of rules: 144
% New rule produced :
% [179]
% composition(composition(A,converse(B)),C) <->
% converse(composition(composition(converse(C),B),converse(A)))
% Current number of equations to process: 2245
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [180]
% converse(composition(top,A)) join converse(complement(composition(B,A))) ->
% top
% Current number of equations to process: 2956
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [181]
% composition(top,converse(A)) join complement(converse(composition(A,B))) ->
% top
% Current number of equations to process: 2955
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [182]
% composition(top,A) join complement(composition(B,composition(C,A))) -> top
% Current number of equations to process: 2954
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [183]
% converse(composition(A,top)) join complement(composition(B,converse(A))) ->
% top
% Current number of equations to process: 2953
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [184]
% composition(top,A) join complement(converse(composition(converse(A),B))) ->
% top
% Current number of equations to process: 2952
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [185]
% complement(one) join complement(composition(A,complement(converse(A)))) ->
% top
% Current number of equations to process: 1785
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [186]
% complement(one) join complement(converse(composition(converse(zero),top))) ->
% top
% Current number of equations to process: 1859
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [187]
% converse(complement(one)) join composition(converse(zero),top) ->
% converse(complement(one))
% Current number of equations to process: 1858
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [188] composition(top,zero) join complement(one) -> complement(one)
% Current number of equations to process: 1861
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [189]
% converse(complement(composition(converse(zero),top))) join complement(one) ->
% top
% Current number of equations to process: 1860
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [190] complement(one) join complement(composition(top,zero)) -> top
% Current number of equations to process: 1875
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [191]
% complement(one) join complement(converse(composition(converse(A),complement(A))))
% -> top
% Current number of equations to process: 1882
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced : [192] one join converse(zero) -> one
% Current number of equations to process: 1945
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced : [193] composition(zero,A) join A -> A
% Current number of equations to process: 1947
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced : [194] one join converse(complement(one)) -> top
% Current number of equations to process: 1950
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [195] one join converse(complement(converse(zero))) -> top
% Current number of equations to process: 1963
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [196] one join complement(A join A) -> one join complement(A)
% Current number of equations to process: 1961
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [197] one join complement(zero join complement(A)) -> one join A
% Current number of equations to process: 1960
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [198]
% zero join composition(A,complement(converse(composition(top,A)))) -> zero
% Current number of equations to process: 1979
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [199]
% one join complement(composition(sk1,sk2) join complement(sk3)) ->
% sk3 join one
% Current number of equations to process: 1980
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [200]
% zero join complement(composition(A,complement(composition(converse(A),top))))
% -> top
% Current number of equations to process: 1979
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [201] sk3 join composition(A,complement(composition(converse(A),top))) -> sk3
% Current number of equations to process: 1980
% Current number of ordered equations: 0
% Current number of rules: 167
% Rule [175]
% sk3 join sk3 join complement(composition(sk1,sk2)) ->
% zero join complement(composition(sk1,sk2)) is composed into [175]
% sk3 join sk3 join 
% complement(
% composition(sk1,sk2))
% ->
% complement(
% composition(sk1,sk2))
% Rule [151]
% complement(converse(complement(A join A)) join converse(A)) ->
% zero join complement(top) is composed into [151]
% complement(converse(complement(
% A join A)) join 
% converse(A)) ->
% complement(top)
% Rule [136] A join A <-> zero join A is composed into [136] A join A -> A
% New rule produced : [202] zero join A -> A
% Rule [23] zero join top -> top collapsed.
% Rule [51] zero join complement(A join A) -> complement(A) collapsed.
% Rule
% [57] zero join complement(composition(sk1,sk2) join complement(sk3)) -> sk3
% collapsed.
% Rule
% [60]
% zero join complement(sk3 join complement(composition(sk1,sk2))) ->
% composition(sk1,sk2) collapsed.
% Rule [127] zero join one -> one collapsed.
% Rule
% [128]
% zero join composition(A,complement(composition(converse(A),top))) -> zero
% collapsed.
% Rule
% [129]
% zero join complement(composition(converse(A),complement(composition(A,top))))
% -> top collapsed.
% Rule [137] zero join A <-> A join A collapsed.
% Rule [138] zero join zero -> zero collapsed.
% Rule [154] zero join complement(zero join A) -> complement(A) collapsed.
% Rule
% [156]
% converse(zero) join converse(complement(zero join complement(A))) ->
% converse(A) collapsed.
% Rule [157] complement(zero join A) join A -> top collapsed.
% Rule [158] zero join A join A -> zero join A collapsed.
% Rule
% [159]
% complement(zero join complement(A)) join complement(B) ->
% complement(B) join A collapsed.
% Rule [160] sk3 join complement(zero join complement(A)) -> sk3 join A
% collapsed.
% Rule
% [161]
% zero join composition(sk1,sk2) join complement(sk3) ->
% zero join complement(sk3) collapsed.
% Rule [197] one join complement(zero join complement(A)) -> one join A
% collapsed.
% Rule
% [198]
% zero join composition(A,complement(converse(composition(top,A)))) -> zero
% collapsed.
% Rule
% [200]
% zero join complement(composition(A,complement(composition(converse(A),top))))
% -> top collapsed.
% Current number of equations to process: 1995
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [203] composition(sk1,sk2) join complement(sk3) -> complement(sk3)
% Rule
% [199]
% one join complement(composition(sk1,sk2) join complement(sk3)) ->
% sk3 join one collapsed.
% Current number of equations to process: 1993
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [204] composition(A,complement(composition(converse(A),top))) -> zero
% Rule
% [201] sk3 join composition(A,complement(composition(converse(A),top))) -> sk3
% collapsed.
% Current number of equations to process: 1991
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [205] composition(A,complement(converse(composition(top,A)))) -> zero
% Current number of equations to process: 1990
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced : [206] converse(zero) join converse(A) -> converse(A)
% Rule
% [135]
% converse(zero) join converse(complement(A join A)) -> converse(complement(A))
% collapsed.
% Current number of equations to process: 1989
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [207]
% complement(sk3 join complement(composition(sk1,sk2))) -> composition(sk1,sk2)
% Current number of equations to process: 1988
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [208]
% complement(composition(converse(A),complement(composition(A,top)))) -> top
% Current number of equations to process: 1987
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [209] composition(converse(zero),top) join complement(one) -> complement(one)
% Current number of equations to process: 2085
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [210] complement(one) join complement(composition(converse(zero),top)) -> top
% Current number of equations to process: 2084
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [211]
% converse(complement(sk3)) join converse(complement(composition(sk1,sk2))) ->
% top
% Current number of equations to process: 2089
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [212]
% sk3 join complement(sk3 join composition(sk1,sk2)) ->
% complement(composition(sk1,sk2))
% Current number of equations to process: 2102
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [213] converse(composition(top,zero)) join complement(one) -> complement(one)
% Current number of equations to process: 2118
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [214]
% converse(composition(A,complement(converse(A)))) join complement(one) ->
% complement(one)
% Current number of equations to process: 2125
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [215]
% composition(top,A) join composition(B,composition(C,A)) -> composition(top,A)
% Current number of equations to process: 2130
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [216]
% converse(composition(converse(A),B)) join composition(top,A) ->
% composition(top,A)
% Current number of equations to process: 2129
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [217]
% converse(complement(one)) join composition(converse(A),complement(A)) ->
% converse(complement(one))
% Current number of equations to process: 2127
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [218]
% converse(complement(composition(converse(A),complement(A)))) join complement(one)
% -> top
% Current number of equations to process: 2126
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [219]
% converse(composition(top,A)) join converse(composition(B,A)) ->
% converse(composition(top,A))
% Current number of equations to process: 2239
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [220]
% converse(composition(A,B)) join composition(top,converse(A)) ->
% composition(top,converse(A))
% Current number of equations to process: 2238
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [221]
% converse(composition(A,top)) join composition(B,converse(A)) <->
% composition(top,converse(A))
% Current number of equations to process: 2237
% Current number of ordered equations: 1
% Current number of rules: 165
% Rule [221]
% converse(composition(A,top)) join composition(B,converse(A)) <->
% composition(top,converse(A)) is composed into [221]
% converse(composition(A,top)) join 
% composition(B,converse(A))
% <->
% converse(composition(A,top)) join 
% composition(sk3,converse(A))
% New rule produced :
% [222]
% composition(top,converse(A)) <->
% converse(composition(A,top)) join composition(B,converse(A))
% Rule
% [181]
% composition(top,converse(A)) join complement(converse(composition(A,B))) ->
% top collapsed.
% Rule
% [220]
% converse(composition(A,B)) join composition(top,converse(A)) ->
% composition(top,converse(A)) collapsed.
% Current number of equations to process: 2239
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [223]
% composition(sk1,sk2) join complement(sk3 join composition(sk1,sk2)) ->
% complement(sk3)
% Current number of equations to process: 2237
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [224] composition(converse(A),complement(composition(A,top))) -> zero
% Rule
% [155] composition(converse(B),complement(composition(B,top))) join A -> A
% collapsed.
% Rule
% [208]
% complement(composition(converse(A),complement(composition(A,top)))) -> top
% collapsed.
% Current number of equations to process: 2329
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [225]
% composition(A,top) join composition(A,complement(B)) -> composition(A,top)
% Current number of equations to process: 2353
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [226]
% composition(A,complement(B)) join composition(A,B) -> composition(A,top)
% Current number of equations to process: 2365
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [227] composition(A,top) join composition(A,B) -> composition(A,top)
% Rule
% [225]
% composition(A,top) join composition(A,complement(B)) -> composition(A,top)
% collapsed.
% Current number of equations to process: 2399
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [228] complement(complement(A join B) join complement(B)) -> B
% Current number of equations to process: 2537
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [229] complement(complement(complement(A) join B) join A) -> complement(A)
% Current number of equations to process: 2536
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [230]
% complement(converse(A) join complement(converse(complement(A)))) ->
% complement(converse(A))
% Current number of equations to process: 2573
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [231]
% complement(converse(complement(A)) join complement(converse(A))) ->
% complement(converse(complement(A)))
% Current number of equations to process: 2572
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [232]
% complement(complement(complement(A join B) join B) join A) -> complement(A)
% Current number of equations to process: 2595
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced : [233] complement(A join B) join B -> complement(A) join B
% Rule
% [58]
% complement(complement(A) join B) join B <->
% complement(complement(B) join A) join A collapsed.
% Rule [133] complement(complement(A join A) join A) -> zero collapsed.
% Rule [142] complement(complement(A join A) join A join B) -> zero collapsed.
% Rule
% [212]
% sk3 join complement(sk3 join composition(sk1,sk2)) ->
% complement(composition(sk1,sk2)) collapsed.
% Rule
% [223]
% composition(sk1,sk2) join complement(sk3 join composition(sk1,sk2)) ->
% complement(sk3) collapsed.
% Rule
% [232]
% complement(complement(complement(A join B) join B) join A) -> complement(A)
% collapsed.
% Current number of equations to process: 2707
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [234]
% sk3 join complement(composition(sk1,sk2)) -> complement(composition(sk1,sk2))
% Rule
% [175]
% sk3 join sk3 join complement(composition(sk1,sk2)) ->
% complement(composition(sk1,sk2)) collapsed.
% Rule
% [207]
% complement(sk3 join complement(composition(sk1,sk2))) -> composition(sk1,sk2)
% collapsed.
% Current number of equations to process: 2706
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [235]
% complement(complement(converse(complement(converse(A)))) join A) ->
% complement(A)
% Current number of equations to process: 2726
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [236]
% complement(converse(complement(converse(A))) join complement(A)) ->
% complement(converse(complement(converse(A))))
% Current number of equations to process: 2724
% Current number of ordered equations: 1
% Current number of rules: 167
% New rule produced :
% [237]
% converse(complement(converse(complement(A join B)))) join complement(B) ->
% top
% Rule
% [168]
% converse(complement(converse(complement(A join A)))) join complement(A) ->
% top collapsed.
% Current number of equations to process: 2724
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [238] complement(A join B) join complement(A) -> complement(A)
% Rule [228] complement(complement(A join B) join complement(B)) -> B
% collapsed.
% Current number of equations to process: 2795
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [239]
% complement(converse(complement(converse(complement(A)))) join A) ->
% complement(converse(complement(converse(complement(A)))))
% Current number of equations to process: 2930
% Current number of ordered equations: 1
% Current number of rules: 168
% New rule produced :
% [240]
% complement(complement(converse(complement(converse(A))) join B) join A) ->
% complement(A)
% Current number of equations to process: 2930
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [241]
% one join complement(composition(A,complement(converse(A)))) ->
% complement(composition(A,complement(converse(A))))
% Current number of equations to process: 2929
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [242]
% one join complement(converse(composition(converse(zero),top))) ->
% complement(converse(composition(converse(zero),top)))
% Current number of equations to process: 2928
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [243]
% complement(composition(top,A)) join complement(composition(B,A)) ->
% complement(composition(B,A))
% Current number of equations to process: 2927
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [244]
% converse(composition(top,zero)) join converse(complement(one)) ->
% converse(complement(one))
% Current number of equations to process: 3074
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [245] converse(complement(converse(A) join converse(B))) join A join B -> top
% Current number of equations to process: 3084
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [246]
% composition(converse(complement(converse(B))),A) join composition(B,A) ->
% composition(top,A)
% Current number of equations to process: 3083
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [247]
% converse(complement(composition(A,converse(B)))) join composition(B,converse(A))
% -> top
% Current number of equations to process: 3082
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [248]
% converse(complement(composition(converse(A),B))) join composition(converse(B),A)
% -> top
% Current number of equations to process: 3081
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [249]
% converse(complement(converse(composition(converse(A),complement(A))))) join 
% complement(one) -> top
% Current number of equations to process: 3079
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [250]
% converse(composition(A,top)) join composition(sk3,converse(A)) join complement(
% converse(
% composition(A,
% converse(B))))
% -> top
% Current number of equations to process: 3077
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [251]
% converse(composition(A,complement(converse(A)))) join converse(complement(one))
% -> converse(complement(one))
% Current number of equations to process: 3073
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [252]
% converse(complement(converse(composition(A,complement(converse(A)))))) join 
% complement(one) -> top
% Current number of equations to process: 3072
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [253]
% converse(complement(one)) join converse(complement(composition(converse(A),
% complement(A)))) -> top
% Current number of equations to process: 3069
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [254]
% complement(composition(converse(A),complement(composition(A,complement(B))))) join B
% -> top
% Current number of equations to process: 3061
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [255]
% composition(A,converse(complement(B))) join composition(A,converse(B)) ->
% composition(A,top)
% Current number of equations to process: 3060
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [256]
% composition(A,converse(complement(converse(B)))) join composition(A,B) ->
% composition(A,top)
% Current number of equations to process: 3059
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [257]
% complement(converse(A) join complement(converse(complement(A)) join B)) ->
% complement(converse(A))
% Current number of equations to process: 3057
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [258]
% complement(one join complement(composition(converse(A),complement(A)))) ->
% composition(converse(A),complement(A))
% Current number of equations to process: 3053
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [259]
% complement(complement(complement(composition(sk1,sk2)) join A) join complement(sk3))
% -> sk3
% Current number of equations to process: 3052
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [260]
% complement(composition(A,complement(composition(converse(A),complement(B))))) join B
% -> top
% Current number of equations to process: 3051
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [261]
% composition(A,complement(converse(composition(converse(complement(B)),A)))) join B
% -> B
% Current number of equations to process: 3050
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [262]
% converse(complement(one)) join complement(converse(composition(converse(A),
% complement(A)))) -> top
% Current number of equations to process: 3049
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [263]
% converse(composition(converse(zero),top)) join converse(complement(one)) ->
% converse(complement(one))
% Current number of equations to process: 3095
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [264]
% complement(composition(converse(A),complement(composition(A,B)))) join 
% complement(B) -> top
% Current number of equations to process: 3153
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [265] composition(converse(A),top) -> converse(composition(top,A))
% Rule
% [125]
% converse(composition(converse(zero),top)) join complement(one) ->
% complement(one) collapsed.
% Rule
% [186]
% complement(one) join complement(converse(composition(converse(zero),top))) ->
% top collapsed.
% Rule
% [187]
% converse(complement(one)) join composition(converse(zero),top) ->
% converse(complement(one)) collapsed.
% Rule
% [189]
% converse(complement(composition(converse(zero),top))) join complement(one) ->
% top collapsed.
% Rule [204] composition(A,complement(composition(converse(A),top))) -> zero
% collapsed.
% Rule
% [209] composition(converse(zero),top) join complement(one) -> complement(one)
% collapsed.
% Rule
% [210] complement(one) join complement(composition(converse(zero),top)) -> top
% collapsed.
% Rule
% [242]
% one join complement(converse(composition(converse(zero),top))) ->
% complement(converse(composition(converse(zero),top))) collapsed.
% Rule
% [263]
% converse(composition(converse(zero),top)) join converse(complement(one)) ->
% converse(complement(one)) collapsed.
% Current number of equations to process: 3269
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [266] complement(one) join complement(converse(composition(top,zero))) -> top
% Current number of equations to process: 3306
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [267]
% composition(A,converse(composition(B,top))) <->
% composition(composition(A,top),converse(B))
% Current number of equations to process: 3304
% Current number of ordered equations: 2
% Current number of rules: 187
% New rule produced :
% [268]
% composition(composition(A,converse(B)),top) ->
% composition(A,converse(composition(top,B)))
% Current number of equations to process: 3304
% Current number of ordered equations: 1
% Current number of rules: 188
% New rule produced :
% [269]
% composition(composition(A,top),converse(B)) <->
% composition(A,converse(composition(B,top)))
% Current number of equations to process: 3304
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [270]
% composition(converse(A),composition(top,B)) <->
% composition(converse(composition(top,A)),B)
% Current number of equations to process: 3302
% Current number of ordered equations: 2
% Current number of rules: 190
% New rule produced :
% [271]
% composition(top,composition(converse(A),B)) ->
% composition(converse(composition(A,top)),B)
% Current number of equations to process: 3302
% Current number of ordered equations: 1
% Current number of rules: 191
% New rule produced :
% [272]
% composition(converse(composition(top,A)),B) <->
% composition(converse(A),composition(top,B))
% Current number of equations to process: 3302
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [273]
% converse(complement(converse(composition(top,zero)))) join complement(one) ->
% top
% Current number of equations to process: 3296
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [274] composition(top,complement(composition(top,complement(A)))) join A -> A
% Current number of equations to process: 3295
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced : [275] converse(complement(converse(zero))) -> top
% Rule [162] converse(complement(converse(zero))) join complement(A) -> top
% collapsed.
% Rule [163] sk3 join converse(complement(converse(zero))) -> top collapsed.
% Rule
% [166] converse(complement(converse(zero))) join composition(sk1,sk2) -> top
% collapsed.
% Rule [195] one join converse(complement(converse(zero))) -> top collapsed.
% Current number of equations to process: 3296
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced : [276] composition(top,A) join complement(A) -> top
% Current number of equations to process: 3300
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [277] converse(complement(one)) join complement(one) -> complement(one)
% Current number of equations to process: 3299
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced : [278] composition(top,A) join A -> composition(top,A)
% Current number of equations to process: 3302
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [279] composition(complement(one),A) join A -> composition(top,A)
% Current number of equations to process: 3301
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [280]
% composition(top,complement(composition(top,A))) join complement(A) ->
% complement(A)
% Current number of equations to process: 3300
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [281]
% converse(composition(composition(B,top),converse(A))) <->
% composition(composition(A,top),converse(B))
% Current number of equations to process: 3295
% Current number of ordered equations: 1
% Current number of rules: 197
% New rule produced :
% [282]
% composition(composition(A,top),converse(B)) <->
% converse(composition(composition(B,top),converse(A)))
% Current number of equations to process: 3295
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [283]
% converse(composition(B,converse(composition(A,top)))) <->
% composition(A,converse(composition(B,top)))
% Current number of equations to process: 3293
% Current number of ordered equations: 1
% Current number of rules: 199
% New rule produced :
% [284]
% composition(A,converse(composition(B,top))) <->
% converse(composition(B,converse(composition(A,top))))
% Current number of equations to process: 3293
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [285]
% converse(composition(converse(composition(top,B)),A)) <->
% composition(converse(composition(top,A)),B)
% Current number of equations to process: 3291
% Current number of ordered equations: 1
% Current number of rules: 201
% New rule produced :
% [286]
% composition(converse(composition(top,A)),B) <->
% converse(composition(converse(composition(top,B)),A))
% Current number of equations to process: 3291
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [287]
% converse(composition(converse(B),composition(top,A))) <->
% composition(converse(A),composition(top,B))
% Current number of equations to process: 3288
% Current number of ordered equations: 1
% Current number of rules: 203
% New rule produced :
% [288]
% composition(converse(A),composition(top,B)) <->
% converse(composition(converse(B),composition(top,A)))
% Current number of equations to process: 3288
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [289]
% converse(complement(one)) join composition(top,zero) ->
% converse(complement(one))
% Current number of equations to process: 3287
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [290]
% converse(composition(sk3,converse(A))) join composition(A,top) ->
% composition(A,top)
% Current number of equations to process: 3286
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [291]
% complement(composition(top,complement(composition(top,A)))) join complement(A)
% -> top
% Current number of equations to process: 3284
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [292] one join converse(complement(one join A)) join converse(A) -> top
% Current number of equations to process: 3283
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [293]
% converse(complement(composition(converse(A),B))) join composition(top,A) ->
% top
% Current number of equations to process: 3281
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [294]
% one join complement(composition(top,zero)) ->
% complement(composition(top,zero))
% Current number of equations to process: 3280
% Current number of ordered equations: 0
% Current number of rules: 210
% Rule [221]
% converse(composition(A,top)) join composition(B,converse(A)) <->
% converse(composition(A,top)) join composition(sk3,converse(A)) is composed into 
% [221]
% converse(composition(A,top)) join composition(B,converse(A)) ->
% converse(composition(A,top))
% New rule produced :
% [295]
% converse(composition(A,top)) join composition(sk3,converse(A)) ->
% converse(composition(A,top))
% Rule
% [250]
% converse(composition(A,top)) join composition(sk3,converse(A)) join complement(
% converse(
% composition(A,
% converse(B))))
% -> top collapsed.
% Current number of equations to process: 3280
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [296]
% converse(composition(top,A)) join complement(converse(composition(B,A))) ->
% top
% Current number of equations to process: 3321
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [297]
% converse(composition(A,top)) join converse(complement(composition(A,B))) ->
% top
% Current number of equations to process: 3320
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [298] converse(complement(converse(A))) join composition(top,A) -> top
% Current number of equations to process: 3380
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [299]
% converse(complement(converse(composition(A,B)))) join composition(A,top) ->
% top
% Current number of equations to process: 714
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [300]
% converse(complement(composition(A,converse(B)))) join composition(B,top) ->
% top
% Current number of equations to process: 713
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [301] converse(composition(top,A)) join converse(complement(A)) -> top
% Current number of equations to process: 773
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [302]
% converse(composition(top,top)) join complement(composition(A,top)) -> top
% Current number of equations to process: 950
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [303]
% converse(composition(A,top)) join complement(converse(composition(A,B))) ->
% top
% Current number of equations to process: 953
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [304] converse(composition(A,top)) join complement(converse(A)) -> top
% Current number of equations to process: 1023
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [305]
% composition(top,top) join complement(converse(composition(top,A))) -> top
% Current number of equations to process: 1029
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [306] complement(one) join complement(composition(A,zero)) -> top
% Rule [190] complement(one) join complement(composition(top,zero)) -> top
% collapsed.
% Current number of equations to process: 1177
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [307] composition(A,zero) join complement(one) -> complement(one)
% Rule [188] composition(top,zero) join complement(one) -> complement(one)
% collapsed.
% Current number of equations to process: 1181
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [308]
% complement(one) join complement(converse(composition(A,complement(converse(A)))))
% -> top
% Current number of equations to process: 1196
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced :
% [309] complement(one) join complement(converse(complement(one))) -> top
% Current number of equations to process: 1256
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced : [310] one join complement(converse(zero)) -> top
% Current number of equations to process: 1265
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced : [311] composition(converse(zero),A) join A -> A
% Current number of equations to process: 1266
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced : [312] composition(A,converse(zero)) join A -> A
% Current number of equations to process: 1272
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced :
% [313]
% complement(one) join complement(converse(zero)) -> complement(converse(zero))
% Current number of equations to process: 1287
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced :
% [314] converse(complement(converse(composition(zero,A)))) join A -> top
% Current number of equations to process: 1288
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced : [315] complement(composition(zero,A)) join A -> top
% Current number of equations to process: 1289
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced :
% [316] converse(composition(zero,A)) join converse(A) -> converse(A)
% Current number of equations to process: 1299
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced : [317] one join composition(zero,converse(zero)) -> one
% Current number of equations to process: 1339
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced : [318] composition(zero,composition(zero,A)) join A -> A
% Current number of equations to process: 1338
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced : [319] complement(converse(complement(one))) -> one
% Rule [309] complement(one) join complement(converse(complement(one))) -> top
% collapsed.
% Current number of equations to process: 1358
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [320] composition(converse(complement(one)),A) join A -> composition(top,A)
% Current number of equations to process: 1355
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced :
% [321] composition(A,converse(complement(one))) join A -> composition(A,top)
% Current number of equations to process: 1354
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced :
% [322]
% complement(converse(complement(one)) join A) ->
% complement(complement(one) join A)
% Current number of equations to process: 1353
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced :
% [323] converse(composition(A,converse(zero))) join converse(A) -> converse(A)
% Current number of equations to process: 1352
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced :
% [324]
% complement(composition(zero,A)) join complement(A) ->
% complement(composition(zero,A))
% Current number of equations to process: 1351
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [325]
% complement(one join A) join complement(converse(zero)) ->
% complement(converse(zero))
% Current number of equations to process: 1350
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced :
% [326]
% complement(composition(zero,complement(A))) join A ->
% complement(composition(zero,complement(A)))
% Current number of equations to process: 1349
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced : [327] composition(zero,zero) -> zero
% Current number of equations to process: 1351
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced :
% [328] composition(zero,B) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 1351
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [329] composition(A,zero) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 1350
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced :
% [330]
% complement(composition(A,complement(converse(composition(top,top))))) -> top
% Current number of equations to process: 1382
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced :
% [331]
% composition(zero,composition(sk1,sk2)) join complement(sk3) ->
% complement(sk3)
% Current number of equations to process: 1381
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced :
% [332]
% converse(complement(converse(composition(sk1,sk2)))) join complement(sk3) ->
% top
% Current number of equations to process: 1380
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [333]
% converse(composition(sk1,sk2)) join converse(complement(sk3)) ->
% converse(complement(sk3))
% Current number of equations to process: 1379
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [334] composition(A,complement(converse(composition(top,top)))) -> zero
% Rule
% [330]
% complement(composition(A,complement(converse(composition(top,top))))) -> top
% collapsed.
% Current number of equations to process: 1412
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced : [335] complement(composition(A,zero)) -> top
% Rule
% [294]
% one join complement(composition(top,zero)) ->
% complement(composition(top,zero)) collapsed.
% Rule [306] complement(one) join complement(composition(A,zero)) -> top
% collapsed.
% Current number of equations to process: 1416
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [336]
% composition(complement(converse(composition(top,top))),complement(converse(zero)))
% -> zero
% Current number of equations to process: 1416
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced : [337] converse(A) join complement(converse(zero)) -> top
% Current number of equations to process: 1419
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced : [338] converse(zero) join A -> A
% Rule [192] one join converse(zero) -> one collapsed.
% Rule [206] converse(zero) join converse(A) -> converse(A) collapsed.
% Current number of equations to process: 1419
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [339]
% composition(zero,complement(A join B)) join complement(B) -> complement(B)
% Current number of equations to process: 1416
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [340]
% composition(complement(sk1),sk2) join complement(sk3) ->
% composition(top,sk2) join complement(sk3)
% Current number of equations to process: 1414
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [341]
% composition(composition(zero,A),B) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 1411
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [342]
% composition(A,composition(zero,B)) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 1410
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced :
% [343]
% composition(composition(A,B),complement(converse(composition(top,B)))) ->
% composition(A,zero)
% Current number of equations to process: 1407
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [344]
% composition(B,composition(complement(converse(composition(top,B))),A)) ->
% composition(zero,A)
% Current number of equations to process: 1406
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced :
% [345]
% complement(converse(composition(converse(complement(converse(composition(top,top)))),A)))
% -> top
% Current number of equations to process: 1405
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [346]
% one join complement(converse(composition(top,zero))) ->
% complement(converse(composition(top,zero)))
% Current number of equations to process: 1454
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced :
% [347]
% converse(complement(one)) join composition(A,complement(converse(A))) ->
% converse(complement(one))
% Current number of equations to process: 1538
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [348]
% converse(complement(composition(A,complement(converse(A))))) join complement(one)
% -> top
% Current number of equations to process: 1537
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [349]
% complement(A join B) join complement(composition(zero,A)) ->
% complement(composition(zero,A))
% Current number of equations to process: 1553
% Current number of ordered equations: 0
% Current number of rules: 256
% Rule [343]
% composition(composition(A,B),complement(converse(composition(top,B))))
% -> composition(A,zero) is composed into [343]
% composition(composition(A,B),
% complement(converse(composition(top,B))))
% -> zero
% New rule produced : [350] composition(A,zero) -> zero
% Rule
% [213] converse(composition(top,zero)) join complement(one) -> complement(one)
% collapsed.
% Rule
% [244]
% converse(composition(top,zero)) join converse(complement(one)) ->
% converse(complement(one)) collapsed.
% Rule
% [266] complement(one) join complement(converse(composition(top,zero))) -> top
% collapsed.
% Rule
% [273]
% converse(complement(converse(composition(top,zero)))) join complement(one) ->
% top collapsed.
% Rule
% [289]
% converse(complement(one)) join composition(top,zero) ->
% converse(complement(one)) collapsed.
% Rule [307] composition(A,zero) join complement(one) -> complement(one)
% collapsed.
% Rule [327] composition(zero,zero) -> zero collapsed.
% Rule [329] composition(A,zero) join composition(A,B) -> composition(A,B)
% collapsed.
% Rule [335] complement(composition(A,zero)) -> top collapsed.
% Rule
% [346]
% one join complement(converse(composition(top,zero))) ->
% complement(converse(composition(top,zero))) collapsed.
% Current number of equations to process: 1716
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced : [351] complement(converse(zero)) -> top
% Rule [275] converse(complement(converse(zero))) -> top collapsed.
% Rule [310] one join complement(converse(zero)) -> top collapsed.
% Rule
% [313]
% complement(one) join complement(converse(zero)) -> complement(converse(zero))
% collapsed.
% Rule
% [325]
% complement(one join A) join complement(converse(zero)) ->
% complement(converse(zero)) collapsed.
% Rule
% [336]
% composition(complement(converse(composition(top,top))),complement(converse(zero)))
% -> zero collapsed.
% Rule [337] converse(A) join complement(converse(zero)) -> top collapsed.
% Current number of equations to process: 1715
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced :
% [352] composition(complement(converse(composition(top,top))),top) -> zero
% Current number of equations to process: 1714
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced :
% [353]
% converse(composition(top,A)) join composition(top,top) ->
% composition(top,top)
% Current number of equations to process: 1718
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [354]
% converse(composition(converse(complement(converse(composition(top,top)))),A))
% -> zero
% Rule
% [345]
% complement(converse(composition(converse(complement(converse(composition(top,top)))),A)))
% -> top collapsed.
% Current number of equations to process: 1793
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [355]
% converse(composition(A,top)) join converse(composition(A,B)) ->
% converse(composition(A,top))
% Current number of equations to process: 1797
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [356]
% converse(composition(top,A)) join composition(converse(A),B) ->
% converse(composition(top,A))
% Current number of equations to process: 1796
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [357]
% converse(complement(one)) join complement(composition(converse(A),complement(A)))
% -> top
% Current number of equations to process: 1797
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced : [358] converse(complement(one)) -> complement(one)
% Rule
% [149]
% converse(composition(converse(A),complement(A))) join converse(complement(one))
% -> converse(complement(one)) collapsed.
% Rule [194] one join converse(complement(one)) -> top collapsed.
% Rule
% [217]
% converse(complement(one)) join composition(converse(A),complement(A)) ->
% converse(complement(one)) collapsed.
% Rule
% [251]
% converse(composition(A,complement(converse(A)))) join converse(complement(one))
% -> converse(complement(one)) collapsed.
% Rule
% [253]
% converse(complement(one)) join converse(complement(composition(converse(A),
% complement(A)))) -> top
% collapsed.
% Rule
% [262]
% converse(complement(one)) join complement(converse(composition(converse(A),
% complement(A)))) -> top
% collapsed.
% Rule [277] converse(complement(one)) join complement(one) -> complement(one)
% collapsed.
% Rule [319] complement(converse(complement(one))) -> one collapsed.
% Rule
% [320] composition(converse(complement(one)),A) join A -> composition(top,A)
% collapsed.
% Rule
% [321] composition(A,converse(complement(one))) join A -> composition(A,top)
% collapsed.
% Rule
% [322]
% complement(converse(complement(one)) join A) ->
% complement(complement(one) join A) collapsed.
% Rule
% [347]
% converse(complement(one)) join composition(A,complement(converse(A))) ->
% converse(complement(one)) collapsed.
% Rule
% [357]
% converse(complement(one)) join complement(composition(converse(A),complement(A)))
% -> top collapsed.
% Current number of equations to process: 1876
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced :
% [359] composition(A,complement(one)) join A -> composition(A,top)
% Current number of equations to process: 1874
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [360]
% one join complement(composition(converse(A),complement(A))) ->
% complement(composition(converse(A),complement(A)))
% Rule
% [258]
% complement(one join complement(composition(converse(A),complement(A)))) ->
% composition(converse(A),complement(A)) collapsed.
% Current number of equations to process: 1875
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [361]
% converse(composition(A,converse(B))) join composition(B,top) ->
% composition(B,top)
% Rule
% [290]
% converse(composition(sk3,converse(A))) join composition(A,top) ->
% composition(A,top) collapsed.
% Current number of equations to process: 1976
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [362]
% converse(composition(top,A)) join converse(A) -> converse(composition(top,A))
% Current number of equations to process: 2052
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced :
% [363]
% converse(composition(top,top)) join complement(composition(A,converse(B))) ->
% top
% Current number of equations to process: 2062
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced :
% [364]
% converse(composition(A,top)) join converse(A) -> converse(composition(A,top))
% Current number of equations to process: 2141
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced :
% [365]
% converse(composition(top,top)) join composition(A,top) ->
% converse(composition(top,top))
% Current number of equations to process: 2140
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [366]
% converse(composition(top,top)) join composition(A,converse(B)) ->
% converse(composition(top,top))
% Current number of equations to process: 2148
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced :
% [367] converse(composition(top,top)) -> composition(top,top)
% Rule
% [302]
% converse(composition(top,top)) join complement(composition(A,top)) -> top
% collapsed.
% Rule [334] composition(A,complement(converse(composition(top,top)))) -> zero
% collapsed.
% Rule
% [352] composition(complement(converse(composition(top,top))),top) -> zero
% collapsed.
% Rule
% [354]
% converse(composition(converse(complement(converse(composition(top,top)))),A))
% -> zero collapsed.
% Rule
% [363]
% converse(composition(top,top)) join complement(composition(A,converse(B))) ->
% top collapsed.
% Rule
% [365]
% converse(composition(top,top)) join composition(A,top) ->
% converse(composition(top,top)) collapsed.
% Rule
% [366]
% converse(composition(top,top)) join composition(A,converse(B)) ->
% converse(composition(top,top)) collapsed.
% Current number of equations to process: 2183
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced :
% [368] composition(A,complement(composition(top,top))) -> zero
% Current number of equations to process: 2182
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [369] composition(complement(composition(top,top)),top) -> zero
% Current number of equations to process: 2181
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced :
% [370]
% converse(composition(converse(complement(composition(top,top))),A)) -> zero
% Current number of equations to process: 2180
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced :
% [371] composition(top,top) join complement(composition(A,converse(B))) -> top
% Current number of equations to process: 2179
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced :
% [372]
% composition(top,top) join composition(A,converse(B)) -> composition(top,top)
% Current number of equations to process: 2178
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced : [373] converse(composition(converse(zero),A)) -> zero
% Current number of equations to process: 2218
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced : [374] composition(converse(zero),A) -> converse(zero)
% Rule [311] composition(converse(zero),A) join A -> A collapsed.
% Rule [373] converse(composition(converse(zero),A)) -> zero collapsed.
% Current number of equations to process: 2218
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [375] composition(top,top) join complement(composition(A,B)) -> top
% Rule
% [371] composition(top,top) join complement(composition(A,converse(B))) -> top
% collapsed.
% Current number of equations to process: 2227
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [376]
% composition(composition(A,converse(B)),complement(composition(B,top))) ->
% zero
% Current number of equations to process: 2230
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced :
% [377]
% composition(converse(composition(A,B)),complement(composition(A,top))) ->
% zero
% Current number of equations to process: 2229
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced :
% [378]
% composition(converse(complement(composition(A,top))),composition(A,B)) ->
% converse(zero)
% Current number of equations to process: 2231
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced :
% [379]
% composition(converse(B),composition(complement(composition(B,top)),A)) ->
% composition(zero,A)
% Current number of equations to process: 2230
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [380] composition(A,top) join complement(composition(A,B)) -> top
% Current number of equations to process: 2237
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [381] composition(top,top) join composition(A,B) -> composition(top,top)
% Rule
% [372]
% composition(top,top) join composition(A,converse(B)) -> composition(top,top)
% collapsed.
% Current number of equations to process: 2379
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [382]
% composition(A,converse(A)) join complement(one) ->
% composition(A,top) join complement(one)
% Current number of equations to process: 2392
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [383] composition(zero,complement(A)) join A -> composition(zero,top) join A
% Current number of equations to process: 2447
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [384]
% composition(zero,top) join complement(A) <->
% composition(zero,A) join complement(A)
% Current number of equations to process: 2448
% Current number of ordered equations: 1
% Current number of rules: 248
% New rule produced :
% [385]
% composition(zero,A) join complement(A) <->
% composition(zero,top) join complement(A)
% Current number of equations to process: 2448
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced :
% [386]
% composition(sk1,complement(sk2)) join complement(sk3) ->
% composition(sk1,top) join complement(sk3)
% Current number of equations to process: 2453
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [387]
% composition(converse(A),composition(A,top)) -> converse(composition(top,A))
% Current number of equations to process: 2458
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced : [388] composition(top,top) -> top
% Rule
% [305]
% composition(top,top) join complement(converse(composition(top,A))) -> top
% collapsed.
% Rule
% [353]
% converse(composition(top,A)) join composition(top,top) ->
% composition(top,top) collapsed.
% Rule [367] converse(composition(top,top)) -> composition(top,top) collapsed.
% Rule [368] composition(A,complement(composition(top,top))) -> zero collapsed.
% Rule [369] composition(complement(composition(top,top)),top) -> zero
% collapsed.
% Rule
% [370]
% converse(composition(converse(complement(composition(top,top))),A)) -> zero
% collapsed.
% Rule [375] composition(top,top) join complement(composition(A,B)) -> top
% collapsed.
% Rule [381] composition(top,top) join composition(A,B) -> composition(top,top)
% collapsed.
% Current number of equations to process: 2464
% Current number of ordered equations: 0
% Current number of rules: 244
% Rule [385]
% composition(zero,A) join complement(A) <->
% composition(zero,top) join complement(A) is composed into [385]
% composition(zero,A) join 
% complement(A)
% ->
% zero join 
% complement(A)
% Rule [383]
% composition(zero,complement(A)) join A -> composition(zero,top) join A is composed into 
% [383] composition(zero,complement(A)) join A -> zero join A
% New rule produced : [389] composition(zero,top) -> zero
% Rule
% [384]
% composition(zero,top) join complement(A) <->
% composition(zero,A) join complement(A) collapsed.
% Current number of equations to process: 2463
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced : [390] composition(A,top) join A -> composition(A,top)
% Current number of equations to process: 2467
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced : [391] complement(complement(A) join B) join A -> A
% Rule
% [229] complement(complement(complement(A) join B) join A) -> complement(A)
% collapsed.
% Current number of equations to process: 2570
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [392] converse(A) join complement(converse(complement(A))) -> converse(A)
% Rule
% [230]
% complement(converse(A) join complement(converse(complement(A)))) ->
% complement(converse(A)) collapsed.
% Current number of equations to process: 2571
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [393]
% converse(complement(A)) join complement(converse(A)) ->
% converse(complement(A))
% Rule
% [231]
% complement(converse(complement(A)) join complement(converse(A))) ->
% complement(converse(complement(A))) collapsed.
% Current number of equations to process: 2572
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [394] complement(converse(complement(converse(A)))) join A -> A
% Rule
% [235]
% complement(complement(converse(complement(converse(A)))) join A) ->
% complement(A) collapsed.
% Current number of equations to process: 2648
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [395]
% converse(complement(converse(A))) join complement(A) ->
% converse(complement(converse(A)))
% Rule
% [236]
% complement(converse(complement(converse(A))) join complement(A)) ->
% complement(converse(complement(converse(A)))) collapsed.
% Current number of equations to process: 2647
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [396] complement(converse(complement(converse(A))) join B) join A -> A
% Rule
% [240]
% complement(complement(converse(complement(converse(A))) join B) join A) ->
% complement(A) collapsed.
% Current number of equations to process: 2762
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [397]
% converse(complement(converse(sk3))) join complement(composition(sk1,sk2)) ->
% top
% Current number of equations to process: 2917
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [398]
% converse(A) join complement(converse(complement(A)) join B) -> converse(A)
% Rule
% [257]
% complement(converse(A) join complement(converse(complement(A)) join B)) ->
% complement(converse(A)) collapsed.
% Current number of equations to process: 2944
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [399] complement(composition(zero,A) join B) join A -> complement(B) join A
% Current number of equations to process: 2942
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [400]
% composition(zero,sk3) join complement(composition(sk1,sk2)) ->
% complement(composition(sk1,sk2))
% Current number of equations to process: 2941
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [401]
% composition(converse(A),A) join complement(one) ->
% converse(composition(top,A)) join complement(one)
% Current number of equations to process: 2939
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced :
% [402]
% composition(zero,composition(A,B)) join composition(A,top) ->
% composition(A,top)
% Current number of equations to process: 2936
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [403]
% composition(composition(A,B),C) join composition(A,top) -> composition(A,top)
% Current number of equations to process: 2934
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced :
% [404]
% converse(complement(A)) join complement(converse(A) join B) ->
% converse(complement(A))
% Current number of equations to process: 2930
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [405]
% converse(sk3) join converse(complement(composition(sk1,sk2))) ->
% converse(complement(composition(sk1,sk2)))
% Current number of equations to process: 2929
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced :
% [406]
% composition(complement(converse(A)),complement(composition(A,top))) ->
% composition(top,complement(composition(A,top)))
% Current number of equations to process: 2943
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [407]
% complement(composition(A,top)) join complement(composition(A,B)) ->
% complement(composition(A,B))
% Current number of equations to process: 2939
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [408]
% complement(complement(composition(sk1,sk2)) join A) join complement(sk3) ->
% complement(sk3)
% Rule
% [259]
% complement(complement(complement(composition(sk1,sk2)) join A) join complement(sk3))
% -> sk3 collapsed.
% Current number of equations to process: 2938
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [409]
% converse(complement(converse(A))) join complement(A join B) ->
% converse(complement(converse(A)))
% Current number of equations to process: 2937
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [410]
% converse(complement(A join B)) join converse(B) ->
% converse(complement(A)) join converse(B)
% Rule
% [55] converse(complement(A join B)) join converse(A) join converse(B) -> top
% collapsed.
% Rule
% [151]
% complement(converse(complement(A join A)) join converse(A)) ->
% complement(top) collapsed.
% Rule [292] one join converse(complement(one join A)) join converse(A) -> top
% collapsed.
% Current number of equations to process: 2936
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [411]
% one join converse(complement(converse(complement(complement(one) join A))))
% -> top
% Current number of equations to process: 2943
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [412]
% converse(complement(converse(complement(complement(A) join B)))) join A ->
% top
% Rule
% [411]
% one join converse(complement(converse(complement(complement(one) join A))))
% -> top collapsed.
% Current number of equations to process: 2976
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [413]
% converse(complement(A)) join complement(converse(complement(A join B))) ->
% top
% Current number of equations to process: 2975
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [414]
% converse(complement(converse(complement(A)))) join complement(composition(zero,A))
% -> top
% Current number of equations to process: 3077
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced :
% [415]
% converse(complement(A join B)) join converse(complement(A)) ->
% converse(complement(A))
% Current number of equations to process: 3339
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced :
% [416]
% converse(complement(converse(complement(A)))) join A ->
% converse(complement(converse(complement(A))))
% Rule
% [239]
% complement(converse(complement(converse(complement(A)))) join A) ->
% complement(converse(complement(converse(complement(A))))) collapsed.
% Current number of equations to process: 3339
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced :
% [417] complement(composition(top,A)) join complement(A) -> complement(A)
% Current number of equations to process: 3539
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [418] one join converse(complement(one join converse(A))) join A -> top
% Current number of equations to process: 3705
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced :
% [419]
% composition(converse(complement(A)),complement(composition(A,top))) ->
% composition(top,complement(composition(A,top)))
% Current number of equations to process: 3797
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced :
% [420]
% converse(complement(composition(A,converse(zero)))) join converse(A) -> top
% Current number of equations to process: 4271
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced :
% [421]
% complement(composition(top,complement(composition(top,complement(A))))) join A
% -> top
% Current number of equations to process: 4897
% Current number of ordered equations: 0
% Current number of rules: 263
% New rule produced :
% [422]
% converse(composition(complement(A),top)) join converse(composition(A,top)) ->
% top
% Current number of equations to process: 4992
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced :
% [423]
% converse(composition(complement(converse(A)),top)) join composition(top,A) ->
% top
% Current number of equations to process: 1611
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced :
% [424]
% converse(composition(complement(converse(complement(composition(A,top)))),A))
% -> converse(composition(top,A))
% Current number of equations to process: 1641
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced :
% [425] composition(complement(composition(complement(A),top)),top) join A -> A
% Current number of equations to process: 2158
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [426]
% converse(composition(composition(A,top),top)) -> converse(composition(A,top))
% Current number of equations to process: 2691
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced :
% [427] composition(composition(A,top),top) -> composition(A,top)
% Rule
% [426]
% converse(composition(composition(A,top),top)) -> converse(composition(A,top))
% collapsed.
% Current number of equations to process: 2827
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced :
% [428] composition(top,composition(top,A)) -> composition(top,A)
% Current number of equations to process: 3044
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [429] composition(B,complement(composition(top,complement(A)))) join A -> A
% Rule
% [274] composition(top,complement(composition(top,complement(A)))) join A -> A
% collapsed.
% Current number of equations to process: 3326
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced : [430] composition(top,complement(A)) join A -> top
% Current number of equations to process: 3327
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [431]
% composition(top,composition(complement(one),top)) ->
% composition(complement(one),top)
% Current number of equations to process: 3516
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced :
% [432] converse(composition(complement(A),top)) join converse(A) -> top
% Current number of equations to process: 3568
% Current number of ordered equations: 1
% Current number of rules: 272
% New rule produced :
% [433] converse(composition(A,top)) join converse(complement(A)) -> top
% Current number of equations to process: 3568
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [434]
% composition(top,complement(sk3)) join complement(composition(sk1,sk2)) -> top
% Current number of equations to process: 3771
% Current number of ordered equations: 1
% Current number of rules: 274
% New rule produced :
% [435]
% composition(top,complement(composition(sk1,sk2))) join complement(sk3) -> top
% Current number of equations to process: 3771
% Current number of ordered equations: 0
% Current number of rules: 275
% New rule produced :
% [436]
% composition(top,composition(complement(one),A)) join A -> composition(top,A)
% Current number of equations to process: 3768
% Current number of ordered equations: 0
% Current number of rules: 276
% New rule produced :
% [437]
% complement(composition(top,A) join B) join complement(A) -> complement(A)
% Current number of equations to process: 3767
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced :
% [438]
% composition(sk1,sk2) join composition(top,complement(sk3)) ->
% composition(top,complement(sk3))
% Current number of equations to process: 3766
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced :
% [439]
% converse(composition(complement(one),A)) join converse(A) ->
% converse(composition(top,A))
% Current number of equations to process: 3763
% Current number of ordered equations: 0
% Current number of rules: 279
% New rule produced :
% [440]
% converse(composition(A,complement(one))) join converse(A) ->
% converse(composition(A,top))
% Current number of equations to process: 3762
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced :
% [441]
% complement(composition(complement(one),A)) join A ->
% complement(composition(top,A)) join A
% Current number of equations to process: 3761
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced :
% [442]
% composition(B,complement(composition(top,A))) join complement(A) ->
% complement(A)
% Rule
% [280]
% composition(top,complement(composition(top,A))) join complement(A) ->
% complement(A) collapsed.
% Current number of equations to process: 3787
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced :
% [443]
% converse(composition(top,A)) join composition(complement(converse(A)),top) ->
% top
% Current number of equations to process: 3911
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced :
% [444]
% complement(composition(A,complement(composition(top,complement(B))))) join B
% -> top
% Rule
% [421]
% complement(composition(top,complement(composition(top,complement(A))))) join A
% -> top collapsed.
% Current number of equations to process: 3910
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced :
% [445]
% composition(composition(top,A),B) join complement(composition(A,B)) -> top
% Current number of equations to process: 3909
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced :
% [446]
% composition(top,A) join complement(complement(A) join B) ->
% composition(top,A)
% Current number of equations to process: 3907
% Current number of ordered equations: 0
% Current number of rules: 284
% New rule produced :
% [447]
% composition(top,complement(composition(A,B))) join composition(top,B) -> top
% Current number of equations to process: 3906
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced :
% [448]
% converse(complement(converse(complement(composition(top,A))))) join complement(A)
% -> top
% Current number of equations to process: 3905
% Current number of ordered equations: 0
% Current number of rules: 286
% New rule produced :
% [449]
% complement(composition(A,complement(composition(top,B)))) join complement(B)
% -> top
% Rule
% [291]
% complement(composition(top,complement(composition(top,A)))) join complement(A)
% -> top collapsed.
% Current number of equations to process: 3900
% Current number of ordered equations: 0
% Current number of rules: 286
% New rule produced :
% [450]
% converse(composition(top,A)) join complement(composition(converse(A),B)) ->
% top
% Current number of equations to process: 4950
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [451]
% composition(top,A) join complement(A join B) ->
% composition(top,A) join complement(B)
% Current number of equations to process: 1374
% Current number of ordered equations: 0
% Current number of rules: 288
% New rule produced :
% [452]
% sk3 join composition(top,complement(composition(sk1,sk2))) ->
% composition(top,complement(composition(sk1,sk2)))
% Current number of equations to process: 1373
% Current number of ordered equations: 0
% Current number of rules: 289
% New rule produced :
% [453]
% composition(top,complement(A)) join complement(A join B) ->
% composition(top,complement(A))
% Current number of equations to process: 1372
% Current number of ordered equations: 0
% Current number of rules: 290
% New rule produced :
% [454]
% composition(top,A) join composition(complement(one),top) ->
% composition(complement(one),top) join A
% Current number of equations to process: 1370
% Current number of ordered equations: 0
% Current number of rules: 291
% New rule produced :
% [455]
% composition(top,complement(converse(composition(top,complement(one))))) ->
% complement(converse(composition(top,complement(one))))
% Current number of equations to process: 1369
% Current number of ordered equations: 0
% Current number of rules: 292
% New rule produced :
% [456] converse(composition(top,A)) join complement(converse(A)) -> top
% Current number of equations to process: 1404
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced :
% [457]
% composition(A,top) join complement(converse(composition(B,converse(A)))) ->
% top
% Current number of equations to process: 1407
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced :
% [458]
% composition(top,A) join complement(converse(complement(converse(A)))) ->
% composition(top,A)
% Current number of equations to process: 1694
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced :
% [459] converse(complement(converse(A))) join composition(A,top) -> top
% Current number of equations to process: 1703
% Current number of ordered equations: 0
% Current number of rules: 296
% New rule produced :
% [460] converse(composition(top,complement(A))) join converse(A) -> top
% Current number of equations to process: 1934
% Current number of ordered equations: 0
% Current number of rules: 297
% New rule produced :
% [461]
% converse(complement(A)) join complement(converse(composition(top,A))) ->
% converse(complement(A))
% Current number of equations to process: 1981
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [462]
% converse(composition(top,A)) join converse(composition(complement(A),top)) ->
% top
% Current number of equations to process: 1980
% Current number of ordered equations: 0
% Current number of rules: 299
% New rule produced :
% [463]
% complement(converse(composition(A,top))) join complement(converse(A)) ->
% complement(converse(A))
% Current number of equations to process: 2146
% Current number of ordered equations: 0
% Current number of rules: 300
% New rule produced :
% [464]
% converse(composition(A,top)) join composition(top,complement(converse(A))) ->
% top
% Current number of equations to process: 2145
% Current number of ordered equations: 0
% Current number of rules: 301
% New rule produced :
% [465] complement(composition(A,converse(zero))) join A -> top
% Current number of equations to process: 2265
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced : [466] converse(composition(zero,converse(A))) join A -> A
% Current number of equations to process: 2273
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced : [467] composition(zero,converse(zero)) -> zero
% Rule [317] one join composition(zero,converse(zero)) -> one collapsed.
% Current number of equations to process: 2325
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced :
% [468] composition(composition(zero,A),converse(zero)) join A -> A
% Current number of equations to process: 2323
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced :
% [469] converse(complement(composition(zero,converse(A)))) join A -> top
% Current number of equations to process: 2351
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced :
% [470]
% converse(composition(zero,converse(sk3))) join complement(one) ->
% complement(one)
% Current number of equations to process: 2373
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced :
% [471]
% converse(complement(converse(composition(A,converse(zero))))) join A -> top
% Current number of equations to process: 2372
% Current number of ordered equations: 0
% Current number of rules: 307
% New rule produced :
% [472]
% composition(top,A) join composition(A,converse(zero)) -> composition(top,A)
% Current number of equations to process: 2370
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [473] converse(A) join complement(converse(composition(zero,A))) -> top
% Current number of equations to process: 2378
% Current number of ordered equations: 0
% Current number of rules: 309
% New rule produced :
% [474]
% complement(converse(complement(converse(composition(zero,A))))) join A -> A
% Current number of equations to process: 2442
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced :
% [475] complement(converse(composition(zero,converse(A)))) join A -> top
% Current number of equations to process: 2445
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced :
% [476] converse(complement(composition(zero,A))) join converse(A) -> top
% Current number of equations to process: 2466
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [477] complement(composition(zero,composition(zero,A))) join A -> top
% Current number of equations to process: 2484
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [478] composition(top,complement(composition(zero,A))) join A -> top
% Current number of equations to process: 2501
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [479]
% complement(sk3) join complement(composition(zero,composition(sk1,sk2))) ->
% top
% Current number of equations to process: 2536
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced :
% [480]
% converse(A) join complement(converse(composition(A,converse(zero)))) -> top
% Current number of equations to process: 2535
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced :
% [481] complement(complement(composition(zero,A)) join B) join A -> A
% Current number of equations to process: 2534
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced :
% [482]
% complement(composition(sk1,sk2)) join complement(composition(zero,sk3)) ->
% top
% Current number of equations to process: 2533
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced :
% [483] composition(zero,complement(composition(zero,A))) join A -> A
% Current number of equations to process: 2608
% Current number of ordered equations: 0
% Current number of rules: 319
% New rule produced :
% [484]
% composition(composition(sk1,sk2),converse(zero)) join complement(sk3) ->
% complement(sk3)
% Current number of equations to process: 2686
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [485]
% converse(composition(zero,composition(zero,A))) join converse(A) ->
% converse(A)
% Current number of equations to process: 2685
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced :
% [486]
% composition(sk1,sk2) join complement(composition(zero,sk3)) ->
% complement(composition(zero,sk3))
% Current number of equations to process: 2761
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced :
% [487] composition(zero,A) join composition(B,top) -> composition(B,top)
% Rule
% [402]
% composition(zero,composition(A,B)) join composition(A,top) ->
% composition(A,top) collapsed.
% Current number of equations to process: 3442
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced :
% [488] composition(zero,sk2) join complement(sk3) -> complement(sk3)
% Current number of equations to process: 3443
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced :
% [489] composition(zero,complement(composition(A,top))) -> zero
% Current number of equations to process: 3444
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [490]
% composition(zero,complement(converse(A))) join complement(one) ->
% complement(one)
% Current number of equations to process: 3452
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced :
% [491] composition(A,B) join complement(composition(zero,B)) -> top
% Current number of equations to process: 3460
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [492] composition(zero,complement(A)) join complement(one) -> complement(one)
% Rule
% [490]
% composition(zero,complement(converse(A))) join complement(one) ->
% complement(one) collapsed.
% Current number of equations to process: 3465
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [493] composition(zero,complement(composition(A,complement(B)))) join B -> B
% Current number of equations to process: 3555
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced :
% [494] composition(zero,complement(converse(composition(top,A)))) -> zero
% Current number of equations to process: 3580
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [495]
% composition(zero,complement(B)) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 3599
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [496]
% composition(zero,complement(composition(A,B))) join complement(B) ->
% complement(B)
% Current number of equations to process: 3678
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [497]
% composition(zero,B) join composition(A,complement(B)) ->
% composition(A,complement(B))
% Current number of equations to process: 3677
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced :
% [498]
% composition(zero,complement(composition(sk1,sk2))) join complement(sk3) ->
% complement(sk3)
% Current number of equations to process: 3693
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced :
% [499]
% converse(complement(sk3)) join complement(converse(composition(sk1,sk2))) ->
% top
% Current number of equations to process: 3722
% Current number of ordered equations: 0
% Current number of rules: 333
% Rule [378]
% composition(converse(complement(composition(A,top))),composition(A,B))
% -> converse(zero) is composed into [378]
% composition(converse(complement(
% composition(A,top))),
% composition(A,B)) -> zero
% New rule produced : [500] converse(zero) -> zero
% Rule [312] composition(A,converse(zero)) join A -> A collapsed.
% Rule
% [323] converse(composition(A,converse(zero))) join converse(A) -> converse(A)
% collapsed.
% Rule [338] converse(zero) join A -> A collapsed.
% Rule [351] complement(converse(zero)) -> top collapsed.
% Rule [374] composition(converse(zero),A) -> converse(zero) collapsed.
% Rule
% [420]
% converse(complement(composition(A,converse(zero)))) join converse(A) -> top
% collapsed.
% Rule [465] complement(composition(A,converse(zero))) join A -> top collapsed.
% Rule [467] composition(zero,converse(zero)) -> zero collapsed.
% Rule [468] composition(composition(zero,A),converse(zero)) join A -> A
% collapsed.
% Rule
% [471]
% converse(complement(converse(composition(A,converse(zero))))) join A -> top
% collapsed.
% Rule
% [472]
% composition(top,A) join composition(A,converse(zero)) -> composition(top,A)
% collapsed.
% Rule
% [480]
% converse(A) join complement(converse(composition(A,converse(zero)))) -> top
% collapsed.
% Rule
% [484]
% composition(composition(sk1,sk2),converse(zero)) join complement(sk3) ->
% complement(sk3) collapsed.
% Current number of equations to process: 3832
% Current number of ordered equations: 0
% Current number of rules: 321
% Rule [379]
% composition(converse(B),composition(complement(composition(B,top)),A))
% -> composition(zero,A) is composed into [379]
% composition(converse(B),
% composition(complement(composition(B,top)),A))
% -> zero
% Rule [344]
% composition(B,composition(complement(converse(composition(top,B))),A))
% -> composition(zero,A) is composed into [344]
% composition(B,composition(
% complement(
% converse(composition(top,B))),A))
% -> zero
% New rule produced : [501] composition(zero,A) -> zero
% Rule [193] composition(zero,A) join A -> A collapsed.
% Rule [314] converse(complement(converse(composition(zero,A)))) join A -> top
% collapsed.
% Rule [315] complement(composition(zero,A)) join A -> top collapsed.
% Rule [316] converse(composition(zero,A)) join converse(A) -> converse(A)
% collapsed.
% Rule [318] composition(zero,composition(zero,A)) join A -> A collapsed.
% Rule
% [324]
% complement(composition(zero,A)) join complement(A) ->
% complement(composition(zero,A)) collapsed.
% Rule
% [326]
% complement(composition(zero,complement(A))) join A ->
% complement(composition(zero,complement(A))) collapsed.
% Rule [328] composition(zero,B) join composition(A,B) -> composition(A,B)
% collapsed.
% Rule
% [331]
% composition(zero,composition(sk1,sk2)) join complement(sk3) ->
% complement(sk3) collapsed.
% Rule
% [339]
% composition(zero,complement(A join B)) join complement(B) -> complement(B)
% collapsed.
% Rule
% [341]
% composition(composition(zero,A),B) join composition(A,B) -> composition(A,B)
% collapsed.
% Rule
% [342]
% composition(A,composition(zero,B)) join composition(A,B) -> composition(A,B)
% collapsed.
% Rule
% [349]
% complement(A join B) join complement(composition(zero,A)) ->
% complement(composition(zero,A)) collapsed.
% Rule [383] composition(zero,complement(A)) join A -> zero join A collapsed.
% Rule [385] composition(zero,A) join complement(A) -> zero join complement(A)
% collapsed.
% Rule [389] composition(zero,top) -> zero collapsed.
% Rule
% [399] complement(composition(zero,A) join B) join A -> complement(B) join A
% collapsed.
% Rule
% [400]
% composition(zero,sk3) join complement(composition(sk1,sk2)) ->
% complement(composition(sk1,sk2)) collapsed.
% Rule
% [414]
% converse(complement(converse(complement(A)))) join complement(composition(zero,A))
% -> top collapsed.
% Rule [466] converse(composition(zero,converse(A))) join A -> A collapsed.
% Rule [469] converse(complement(composition(zero,converse(A)))) join A -> top
% collapsed.
% Rule
% [470]
% converse(composition(zero,converse(sk3))) join complement(one) ->
% complement(one) collapsed.
% Rule [473] converse(A) join complement(converse(composition(zero,A))) -> top
% collapsed.
% Rule
% [474]
% complement(converse(complement(converse(composition(zero,A))))) join A -> A
% collapsed.
% Rule [475] complement(converse(composition(zero,converse(A)))) join A -> top
% collapsed.
% Rule [476] converse(complement(composition(zero,A))) join converse(A) -> top
% collapsed.
% Rule [477] complement(composition(zero,composition(zero,A))) join A -> top
% collapsed.
% Rule [478] composition(top,complement(composition(zero,A))) join A -> top
% collapsed.
% Rule
% [479]
% complement(sk3) join complement(composition(zero,composition(sk1,sk2))) ->
% top collapsed.
% Rule [481] complement(complement(composition(zero,A)) join B) join A -> A
% collapsed.
% Rule
% [482]
% complement(composition(sk1,sk2)) join complement(composition(zero,sk3)) ->
% top collapsed.
% Rule [483] composition(zero,complement(composition(zero,A))) join A -> A
% collapsed.
% Rule
% [485]
% converse(composition(zero,composition(zero,A))) join converse(A) ->
% converse(A) collapsed.
% Rule
% [486]
% composition(sk1,sk2) join complement(composition(zero,sk3)) ->
% complement(composition(zero,sk3)) collapsed.
% Rule [487] composition(zero,A) join composition(B,top) -> composition(B,top)
% collapsed.
% Rule [488] composition(zero,sk2) join complement(sk3) -> complement(sk3)
% collapsed.
% Rule [489] composition(zero,complement(composition(A,top))) -> zero
% collapsed.
% Rule [491] composition(A,B) join complement(composition(zero,B)) -> top
% collapsed.
% Rule
% [492] composition(zero,complement(A)) join complement(one) -> complement(one)
% collapsed.
% Rule
% [493] composition(zero,complement(composition(A,complement(B)))) join B -> B
% collapsed.
% Rule [494] composition(zero,complement(converse(composition(top,A)))) -> zero
% collapsed.
% Rule
% [495]
% composition(zero,complement(B)) join composition(A,B) -> composition(A,B)
% collapsed.
% Rule
% [496]
% composition(zero,complement(composition(A,B))) join complement(B) ->
% complement(B) collapsed.
% Rule
% [497]
% composition(zero,B) join composition(A,complement(B)) ->
% composition(A,complement(B)) collapsed.
% Rule
% [498]
% composition(zero,complement(composition(sk1,sk2))) join complement(sk3) ->
% complement(sk3) collapsed.
% Current number of equations to process: 3831
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced :
% [502]
% composition(composition(A,B),converse(composition(top,B))) ->
% composition(composition(A,B),top)
% Current number of equations to process: 3950
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced :
% [503]
% converse(complement(converse(A))) join complement(composition(top,A)) ->
% converse(complement(converse(A)))
% Current number of equations to process: 4103
% Current number of ordered equations: 0
% Current number of rules: 279
% New rule produced :
% [504]
% converse(composition(top,A)) join complement(converse(complement(A))) ->
% converse(composition(top,A))
% Current number of equations to process: 4102
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced :
% [505]
% sk3 join converse(complement(converse(composition(sk1,sk2)))) ->
% converse(complement(converse(composition(sk1,sk2))))
% Current number of equations to process: 4082
% Current number of ordered equations: 1
% Current number of rules: 281
% New rule produced :
% [506]
% complement(sk3) join complement(converse(complement(converse(composition(sk1,sk2)))))
% -> complement(sk3)
% Current number of equations to process: 4082
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced :
% [507]
% converse(composition(top,complement(one))) ->
% composition(complement(one),top)
% Rule
% [455]
% composition(top,complement(converse(composition(top,complement(one))))) ->
% complement(converse(composition(top,complement(one)))) collapsed.
% Current number of equations to process: 4327
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced :
% [508]
% composition(converse(A),complement(one)) ->
% converse(composition(complement(one),A))
% Current number of equations to process: 4394
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced :
% [509]
% composition(complement(one),converse(A)) ->
% converse(composition(A,complement(one)))
% Current number of equations to process: 4393
% Current number of ordered equations: 0
% Current number of rules: 284
% New rule produced :
% [510] one join converse(composition(complement(one),top)) -> top
% Current number of equations to process: 4424
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced :
% [511]
% composition(complement(one),complement(composition(complement(one),top))) ->
% zero
% Current number of equations to process: 4421
% Current number of ordered equations: 0
% Current number of rules: 286
% New rule produced :
% [512] composition(composition(top,A),top) join complement(A) -> top
% Current number of equations to process: 4427
% Current number of ordered equations: 1
% Current number of rules: 287
% New rule produced :
% [513] composition(top,A) join composition(complement(A),top) -> top
% Current number of equations to process: 4427
% Current number of ordered equations: 0
% Current number of rules: 288
% New rule produced : [514] composition(A,top) join complement(A) -> top
% Current number of equations to process: 4491
% Current number of ordered equations: 1
% Current number of rules: 289
% New rule produced : [515] composition(complement(A),top) join A -> top
% Current number of equations to process: 4491
% Current number of ordered equations: 0
% Current number of rules: 290
% New rule produced :
% [516]
% composition(composition(top,complement(one)),top) ->
% composition(top,complement(one))
% Current number of equations to process: 4521
% Current number of ordered equations: 0
% Current number of rules: 291
% New rule produced :
% [517] complement(composition(A,top)) join complement(A) -> complement(A)
% Current number of equations to process: 4645
% Current number of ordered equations: 0
% Current number of rules: 292
% New rule produced :
% [518] composition(top,complement(one)) <-> composition(complement(one),top)
% Current number of equations to process: 4708
% Current number of ordered equations: 1
% Current number of rules: 293
% New rule produced :
% [519] composition(complement(one),top) <-> composition(top,complement(one))
% Current number of equations to process: 4708
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced :
% [520]
% composition(top,complement(composition(complement(one),top))) ->
% complement(composition(complement(one),top))
% Current number of equations to process: 4728
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced :
% [521]
% composition(composition(A,complement(one)),top) join A -> composition(A,top)
% Current number of equations to process: 4726
% Current number of ordered equations: 0
% Current number of rules: 296
% New rule produced :
% [522]
% composition(complement(composition(sk1,sk2)),top) join complement(sk3) -> top
% Current number of equations to process: 4724
% Current number of ordered equations: 1
% Current number of rules: 297
% New rule produced :
% [523]
% composition(complement(sk3),top) join complement(composition(sk1,sk2)) -> top
% Current number of equations to process: 4724
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [524]
% composition(composition(top,A),top) join A ->
% composition(composition(top,A),top)
% Current number of equations to process: 4723
% Current number of ordered equations: 0
% Current number of rules: 299
% New rule produced :
% [525]
% composition(A,converse(composition(complement(one),top))) <->
% composition(composition(A,top),complement(one))
% Current number of equations to process: 4722
% Current number of ordered equations: 1
% Current number of rules: 300
% New rule produced :
% [526]
% composition(composition(A,top),complement(one)) <->
% composition(A,converse(composition(complement(one),top)))
% Current number of equations to process: 4722
% Current number of ordered equations: 0
% Current number of rules: 301
% New rule produced :
% [527]
% composition(converse(composition(complement(one),top)),A) <->
% composition(top,composition(complement(one),A))
% Current number of equations to process: 4721
% Current number of ordered equations: 1
% Current number of rules: 302
% New rule produced :
% [528]
% composition(top,composition(complement(one),A)) <->
% composition(converse(composition(complement(one),top)),A)
% Current number of equations to process: 4721
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced :
% [529]
% composition(sk1,sk2) join composition(complement(sk3),top) ->
% composition(complement(sk3),top)
% Current number of equations to process: 4720
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced :
% [530]
% complement(composition(A,complement(one))) join A ->
% complement(composition(A,top)) join A
% Current number of equations to process: 4719
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced :
% [531]
% complement(composition(A,top) join B) join complement(A) -> complement(A)
% Current number of equations to process: 4718
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced :
% [532]
% composition(converse(A),composition(complement(one),B)) <->
% composition(converse(composition(complement(one),A)),B)
% Current number of equations to process: 4717
% Current number of ordered equations: 1
% Current number of rules: 307
% New rule produced :
% [533]
% composition(converse(composition(complement(one),A)),B) <->
% composition(converse(A),composition(complement(one),B))
% Current number of equations to process: 4717
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [534]
% composition(A,converse(composition(B,complement(one)))) <->
% composition(composition(A,complement(one)),converse(B))
% Current number of equations to process: 4715
% Current number of ordered equations: 3
% Current number of rules: 309
% New rule produced :
% [535]
% composition(A,converse(composition(complement(one),B))) <->
% composition(composition(A,converse(B)),complement(one))
% Current number of equations to process: 4715
% Current number of ordered equations: 2
% Current number of rules: 310
% New rule produced :
% [536]
% composition(composition(A,converse(B)),complement(one)) <->
% composition(A,converse(composition(complement(one),B)))
% Current number of equations to process: 4715
% Current number of ordered equations: 1
% Current number of rules: 311
% New rule produced :
% [537]
% composition(composition(A,complement(one)),converse(B)) <->
% composition(A,converse(composition(B,complement(one))))
% Current number of equations to process: 4715
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [538]
% composition(complement(one),composition(converse(A),B)) <->
% composition(converse(composition(A,complement(one))),B)
% Current number of equations to process: 4713
% Current number of ordered equations: 1
% Current number of rules: 313
% New rule produced :
% [539]
% composition(converse(composition(A,complement(one))),B) <->
% composition(complement(one),composition(converse(A),B))
% Current number of equations to process: 4713
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [540]
% one join composition(A,complement(converse(composition(complement(one),A))))
% -> one
% Current number of equations to process: 4709
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced :
% [541]
% converse(composition(composition(A,top),complement(one))) <->
% composition(composition(complement(one),top),converse(A))
% Current number of equations to process: 4708
% Current number of ordered equations: 1
% Current number of rules: 316
% New rule produced :
% [542]
% composition(composition(complement(one),top),converse(A)) <->
% converse(composition(composition(A,top),complement(one)))
% Current number of equations to process: 4708
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced :
% [543]
% converse(composition(complement(one),composition(top,A))) <->
% composition(converse(A),composition(top,complement(one)))
% Current number of equations to process: 4707
% Current number of ordered equations: 1
% Current number of rules: 318
% New rule produced :
% [544]
% composition(converse(A),composition(top,complement(one))) <->
% converse(composition(complement(one),composition(top,A)))
% Current number of equations to process: 4707
% Current number of ordered equations: 0
% Current number of rules: 319
% New rule produced :
% [545]
% composition(composition(top,A),top) join complement(composition(B,A)) -> top
% Current number of equations to process: 4703
% Current number of ordered equations: 1
% Current number of rules: 320
% New rule produced :
% [546]
% composition(top,A) join composition(complement(composition(B,A)),top) -> top
% Current number of equations to process: 4703
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced :
% [547]
% converse(complement(converse(complement(composition(A,top))))) join complement(A)
% -> top
% Current number of equations to process: 4702
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced :
% [548]
% converse(complement(converse(A))) join composition(composition(top,A),top) ->
% top
% Current number of equations to process: 4701
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced :
% [549]
% converse(composition(A,top)) join composition(complement(converse(A)),top) ->
% top
% Current number of equations to process: 4700
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [550]
% converse(composition(composition(complement(one),top),converse(A))) <->
% composition(composition(A,top),complement(one))
% Current number of equations to process: 4695
% Current number of ordered equations: 1
% Current number of rules: 325
% New rule produced :
% [551]
% composition(composition(A,top),complement(one)) <->
% converse(composition(composition(complement(one),top),converse(A)))
% Current number of equations to process: 4695
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [552]
% converse(composition(converse(A),composition(top,complement(one)))) <->
% composition(complement(one),composition(top,A))
% Current number of equations to process: 4694
% Current number of ordered equations: 1
% Current number of rules: 327
% New rule produced :
% [553]
% composition(complement(one),composition(top,A)) <->
% converse(composition(converse(A),composition(top,complement(one))))
% Current number of equations to process: 4694
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [554]
% composition(top,complement(one)) join composition(A,top) ->
% composition(top,complement(one)) join A
% Current number of equations to process: 4692
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [555]
% composition(A,top) join complement(A join B) ->
% composition(A,top) join complement(B)
% Current number of equations to process: 4691
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [556]
% sk3 join composition(complement(composition(sk1,sk2)),top) ->
% composition(complement(composition(sk1,sk2)),top)
% Current number of equations to process: 4690
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced :
% [557]
% composition(complement(A),top) join complement(A join B) ->
% composition(complement(A),top)
% Current number of equations to process: 4688
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced :
% [558] converse(composition(top,complement(converse(A)))) join A -> top
% Current number of equations to process: 4934
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [559] converse(composition(complement(converse(A)),top)) join A -> top
% Current number of equations to process: 882
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced :
% [560]
% complement(converse(composition(top,A))) join complement(converse(A)) ->
% complement(converse(A))
% Current number of equations to process: 1094
% Current number of ordered equations: 0
% Current number of rules: 335
% New rule produced :
% [561]
% converse(composition(top,complement(converse(A)))) join composition(top,A) ->
% top
% Current number of equations to process: 1093
% Current number of ordered equations: 0
% Current number of rules: 336
% New rule produced :
% [562]
% converse(composition(top,complement(A))) join converse(composition(top,A)) ->
% top
% Current number of equations to process: 1092
% Current number of ordered equations: 0
% Current number of rules: 337
% New rule produced :
% [563]
% converse(composition(top,composition(A,top))) join complement(converse(A)) ->
% top
% Current number of equations to process: 1091
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced :
% [564]
% converse(composition(composition(top,A),top)) join converse(complement(A)) ->
% top
% Current number of equations to process: 1089
% Current number of ordered equations: 0
% Current number of rules: 339
% New rule produced :
% [565]
% converse(composition(complement(one),top)) join complement(one) ->
% converse(composition(complement(one),top))
% Current number of equations to process: 1088
% Current number of ordered equations: 0
% Current number of rules: 340
% New rule produced :
% [566]
% composition(composition(A,complement(one)),complement(composition(complement(one),top)))
% -> zero
% Current number of equations to process: 1087
% Current number of ordered equations: 0
% Current number of rules: 341
% New rule produced :
% [567]
% composition(A,top) join complement(composition(composition(A,B),top)) -> top
% Current number of equations to process: 1086
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced :
% [568]
% composition(complement(one),composition(complement(composition(complement(one),top)),A))
% -> zero
% Current number of equations to process: 1197
% Current number of ordered equations: 0
% Current number of rules: 343
% New rule produced :
% [569]
% composition(A,top) join complement(composition(composition(A,B),C)) -> top
% Rule
% [567]
% composition(A,top) join complement(composition(composition(A,B),top)) -> top
% collapsed.
% Current number of equations to process: 1299
% Current number of ordered equations: 0
% Current number of rules: 343
% New rule produced :
% [570]
% composition(top,composition(A,top)) join complement(composition(A,B)) -> top
% Current number of equations to process: 1297
% Current number of ordered equations: 1
% Current number of rules: 344
% New rule produced :
% [571]
% composition(top,complement(composition(A,B))) join composition(A,top) -> top
% Current number of equations to process: 1297
% Current number of ordered equations: 0
% Current number of rules: 345
% New rule produced :
% [572]
% composition(complement(composition(A,B)),top) join composition(A,top) -> top
% Current number of equations to process: 1296
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced :
% [573]
% converse(composition(A,top)) join complement(one) ->
% composition(A,top) join complement(one)
% Rule
% [565]
% converse(composition(complement(one),top)) join complement(one) ->
% converse(composition(complement(one),top)) collapsed.
% Current number of equations to process: 1314
% Current number of ordered equations: 0
% Current number of rules: 346
% Rule [528]
% composition(top,composition(complement(one),A)) <->
% composition(converse(composition(complement(one),top)),A) is composed into 
% [528]
% composition(top,composition(complement(one),A)) <->
% composition(composition(complement(one),top),A)
% Rule [526]
% composition(composition(A,top),complement(one)) <->
% composition(A,converse(composition(complement(one),top))) is composed into 
% [526]
% composition(composition(A,top),complement(one)) <->
% composition(A,composition(complement(one),top))
% New rule produced :
% [574]
% converse(composition(complement(one),top)) ->
% composition(complement(one),top)
% Rule [510] one join converse(composition(complement(one),top)) -> top
% collapsed.
% Rule
% [525]
% composition(A,converse(composition(complement(one),top))) <->
% composition(composition(A,top),complement(one)) collapsed.
% Rule
% [527]
% composition(converse(composition(complement(one),top)),A) <->
% composition(top,composition(complement(one),A)) collapsed.
% Current number of equations to process: 1315
% Current number of ordered equations: 0
% Current number of rules: 344
% New rule produced :
% [575]
% converse(composition(composition(top,A),converse(A))) -> composition(A,top)
% Current number of equations to process: 1554
% Current number of ordered equations: 0
% Current number of rules: 345
% New rule produced :
% [576]
% composition(complement(one),composition(complement(one),top)) ->
% composition(complement(one),top)
% Current number of equations to process: 1619
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced :
% [577] complement(composition(top,complement(A))) join A -> A
% Current number of equations to process: 2065
% Current number of ordered equations: 0
% Current number of rules: 347
% New rule produced :
% [578] complement(composition(complement(A),top)) join A -> A
% Current number of equations to process: 2094
% Current number of ordered equations: 0
% Current number of rules: 348
% New rule produced :
% [579]
% composition(converse(composition(A,top)),composition(top,A)) ->
% composition(top,A)
% Current number of equations to process: 2123
% Current number of ordered equations: 0
% Current number of rules: 349
% New rule produced :
% [580]
% composition(composition(A,top),composition(top,B)) ->
% composition(A,composition(top,B))
% Current number of equations to process: 2122
% Current number of ordered equations: 0
% Current number of rules: 350
% New rule produced :
% [581]
% composition(top,composition(A,top)) join A ->
% composition(top,composition(A,top))
% Current number of equations to process: 2120
% Current number of ordered equations: 0
% Current number of rules: 351
% New rule produced :
% [582] complement(composition(top,complement(A)) join B) join A -> A
% Current number of equations to process: 2119
% Current number of ordered equations: 0
% Current number of rules: 352
% New rule produced :
% [583] complement(composition(complement(A),top) join B) join A -> A
% Current number of equations to process: 2118
% Current number of ordered equations: 0
% Current number of rules: 353
% New rule produced : [584] converse(complement(converse(complement(A)))) -> A
% Rule
% [237]
% converse(complement(converse(complement(A join B)))) join complement(B) ->
% top collapsed.
% Rule
% [412]
% converse(complement(converse(complement(complement(A) join B)))) join A ->
% top collapsed.
% Rule
% [416]
% converse(complement(converse(complement(A)))) join A ->
% converse(complement(converse(complement(A)))) collapsed.
% Rule
% [448]
% converse(complement(converse(complement(composition(top,A))))) join complement(A)
% -> top collapsed.
% Rule
% [547]
% converse(complement(converse(complement(composition(A,top))))) join complement(A)
% -> top collapsed.
% Current number of equations to process: 2134
% Current number of ordered equations: 0
% Current number of rules: 349
% New rule produced : [585] converse(complement(converse(A))) -> complement(A)
% Rule [62] converse(complement(converse(A))) join A -> top collapsed.
% Rule
% [167]
% converse(complement(converse(composition(A,B)))) join composition(top,B) ->
% top collapsed.
% Rule
% [246]
% composition(converse(complement(converse(B))),A) join composition(B,A) ->
% composition(top,A) collapsed.
% Rule
% [249]
% converse(complement(converse(composition(converse(A),complement(A))))) join 
% complement(one) -> top collapsed.
% Rule
% [252]
% converse(complement(converse(composition(A,complement(converse(A)))))) join 
% complement(one) -> top collapsed.
% Rule
% [256]
% composition(A,converse(complement(converse(B)))) join composition(A,B) ->
% composition(A,top) collapsed.
% Rule [298] converse(complement(converse(A))) join composition(top,A) -> top
% collapsed.
% Rule
% [299]
% converse(complement(converse(composition(A,B)))) join composition(A,top) ->
% top collapsed.
% Rule
% [332]
% converse(complement(converse(composition(sk1,sk2)))) join complement(sk3) ->
% top collapsed.
% Rule [394] complement(converse(complement(converse(A)))) join A -> A
% collapsed.
% Rule
% [395]
% converse(complement(converse(A))) join complement(A) ->
% converse(complement(converse(A))) collapsed.
% Rule [396] complement(converse(complement(converse(A))) join B) join A -> A
% collapsed.
% Rule
% [397]
% converse(complement(converse(sk3))) join complement(composition(sk1,sk2)) ->
% top collapsed.
% Rule
% [409]
% converse(complement(converse(A))) join complement(A join B) ->
% converse(complement(converse(A))) collapsed.
% Rule
% [458]
% composition(top,A) join complement(converse(complement(converse(A)))) ->
% composition(top,A) collapsed.
% Rule [459] converse(complement(converse(A))) join composition(A,top) -> top
% collapsed.
% Rule
% [503]
% converse(complement(converse(A))) join complement(composition(top,A)) ->
% converse(complement(converse(A))) collapsed.
% Rule
% [505]
% sk3 join converse(complement(converse(composition(sk1,sk2)))) ->
% converse(complement(converse(composition(sk1,sk2)))) collapsed.
% Rule
% [506]
% complement(sk3) join complement(converse(complement(converse(composition(sk1,sk2)))))
% -> complement(sk3) collapsed.
% Rule
% [548]
% converse(complement(converse(A))) join composition(composition(top,A),top) ->
% top collapsed.
% Rule [584] converse(complement(converse(complement(A)))) -> A collapsed.
% Current number of equations to process: 2255
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [586]
% composition(converse(composition(top,A)),composition(A,top)) ->
% converse(composition(top,A))
% Current number of equations to process: 2356
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [587]
% converse(complement(complement(A) join B)) join converse(A) -> converse(A)
% Current number of equations to process: 2355
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced :
% [588]
% converse(A) join complement(converse(composition(complement(A),top))) ->
% converse(A)
% Current number of equations to process: 2353
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced :
% [589]
% converse(A) join complement(converse(composition(top,complement(A)))) ->
% converse(A)
% Current number of equations to process: 2358
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [590] converse(complement(converse(complement(A)) join B)) join A -> A
% Current number of equations to process: 2370
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced :
% [591]
% composition(converse(composition(A,top)),composition(A,B)) ->
% composition(composition(top,A),B)
% Current number of equations to process: 2434
% Current number of ordered equations: 0
% Current number of rules: 335
% New rule produced :
% [592]
% composition(composition(A,top),composition(converse(B),B)) ->
% composition(A,composition(top,B))
% Current number of equations to process: 2433
% Current number of ordered equations: 0
% Current number of rules: 336
% New rule produced :
% [593]
% composition(A,top) join complement(complement(A) join B) ->
% composition(A,top)
% Current number of equations to process: 2428
% Current number of ordered equations: 0
% Current number of rules: 337
% Rule [401]
% composition(converse(A),A) join complement(one) ->
% converse(composition(top,A)) join complement(one) is composed into 
% [401]
% composition(converse(A),A) join complement(one) ->
% composition(top,A) join complement(one)
% New rule produced :
% [594]
% converse(composition(top,A)) join complement(one) ->
% composition(top,A) join complement(one)
% Current number of equations to process: 2488
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced :
% [595]
% converse(complement(A)) join complement(converse(composition(A,top))) ->
% converse(complement(A))
% Current number of equations to process: 2836
% Current number of ordered equations: 0
% Current number of rules: 339
% New rule produced :
% [596]
% converse(complement(converse(A) join B)) join complement(A) -> complement(A)
% Current number of equations to process: 2863
% Current number of ordered equations: 0
% Current number of rules: 340
% New rule produced :
% [597]
% converse(complement(composition(sk1,sk2))) join complement(converse(sk3)) ->
% top
% Current number of equations to process: 2984
% Current number of ordered equations: 0
% Current number of rules: 341
% New rule produced :
% [598]
% composition(composition(A,converse(B)),composition(B,top)) ->
% composition(A,converse(composition(top,B)))
% Current number of equations to process: 3065
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced :
% [599]
% composition(converse(composition(A,B)),composition(A,top)) ->
% converse(composition(top,composition(A,B)))
% Current number of equations to process: 3064
% Current number of ordered equations: 0
% Current number of rules: 343
% New rule produced :
% [600]
% composition(composition(converse(A),A),composition(top,B)) ->
% composition(converse(composition(top,A)),B)
% Current number of equations to process: 3062
% Current number of ordered equations: 0
% Current number of rules: 344
% New rule produced :
% [601]
% composition(converse(A),composition(A,composition(top,B))) ->
% composition(converse(composition(top,A)),B)
% Current number of equations to process: 3060
% Current number of ordered equations: 0
% Current number of rules: 345
% New rule produced :
% [602]
% converse(composition(A,top)) join complement(converse(complement(A))) ->
% converse(composition(A,top))
% Current number of equations to process: 3054
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced :
% [603]
% composition(composition(A,top),complement(composition(composition(top,A),top)))
% -> zero
% Current number of equations to process: 3061
% Current number of ordered equations: 0
% Current number of rules: 347
% New rule produced :
% [604]
% converse(complement(composition(top,A))) join converse(complement(A)) ->
% converse(complement(A))
% Current number of equations to process: 3345
% Current number of ordered equations: 0
% Current number of rules: 348
% New rule produced :
% [605]
% complement(sk3) join complement(composition(top,complement(composition(sk1,sk2))))
% -> complement(sk3)
% Current number of equations to process: 3344
% Current number of ordered equations: 0
% Current number of rules: 349
% New rule produced :
% [606]
% complement(sk3) join complement(composition(complement(composition(sk1,sk2)),top))
% -> complement(sk3)
% Current number of equations to process: 3343
% Current number of ordered equations: 0
% Current number of rules: 350
% New rule produced :
% [607]
% converse(complement(converse(A) join B)) join A ->
% converse(complement(B)) join A
% Rule
% [245] converse(complement(converse(A) join converse(B))) join A join B -> top
% collapsed.
% Rule [418] one join converse(complement(one join converse(A))) join A -> top
% collapsed.
% Current number of equations to process: 3555
% Current number of ordered equations: 0
% Current number of rules: 349
% New rule produced :
% [608]
% one join converse(complement(one join A)) -> one join converse(complement(A))
% Current number of equations to process: 3637
% Current number of ordered equations: 0
% Current number of rules: 350
% New rule produced :
% [609]
% converse(sk3) join complement(converse(complement(complement(sk3) join A)))
% -> top
% Current number of equations to process: 3973
% Current number of ordered equations: 0
% Current number of rules: 351
% New rule produced :
% [610]
% one join complement(converse(complement(complement(one) join A))) -> top
% Current number of equations to process: 3980
% Current number of ordered equations: 0
% Current number of rules: 352
% New rule produced :
% [611]
% converse(A) join complement(converse(complement(complement(A) join B))) ->
% top
% Rule
% [609]
% converse(sk3) join complement(converse(complement(complement(sk3) join A)))
% -> top collapsed.
% Current number of equations to process: 4003
% Current number of ordered equations: 0
% Current number of rules: 352
% New rule produced :
% [612]
% converse(complement(A)) join complement(converse(complement(composition(top,A))))
% -> top
% Current number of equations to process: 4165
% Current number of ordered equations: 0
% Current number of rules: 353
% New rule produced :
% [613]
% sk3 join complement(converse(complement(converse(complement(sk3)) join A)))
% -> top
% Current number of equations to process: 4188
% Current number of ordered equations: 0
% Current number of rules: 354
% New rule produced :
% [614]
% complement(one) join complement(converse(complement(one join A))) -> top
% Current number of equations to process: 4214
% Current number of ordered equations: 0
% Current number of rules: 355
% New rule produced :
% [615]
% converse(complement(A)) join complement(converse(complement(composition(A,top))))
% -> top
% Current number of equations to process: 4213
% Current number of ordered equations: 0
% Current number of rules: 356
% New rule produced :
% [616]
% complement(converse(complement(converse(A) join B))) join complement(A) ->
% top
% Current number of equations to process: 4306
% Current number of ordered equations: 0
% Current number of rules: 357
% New rule produced :
% [617]
% complement(converse(complement(converse(complement(A)) join B))) join A ->
% top
% Rule
% [613]
% sk3 join complement(converse(complement(converse(complement(sk3)) join A)))
% -> top collapsed.
% Current number of equations to process: 4305
% Current number of ordered equations: 0
% Current number of rules: 357
% New rule produced :
% [618] one join converse(complement(complement(one) join A)) -> one
% Current number of equations to process: 4426
% Current number of ordered equations: 0
% Current number of rules: 358
% New rule produced :
% [619]
% converse(complement(one join A)) join complement(one) -> complement(one)
% Current number of equations to process: 4668
% Current number of ordered equations: 0
% Current number of rules: 359
% New rule produced :
% [620]
% converse(complement(composition(A,top))) join converse(complement(A)) ->
% converse(complement(A))
% Current number of equations to process: 4667
% Current number of ordered equations: 0
% Current number of rules: 360
% New rule produced :
% [621]
% composition(top,complement(A)) join complement(composition(top,A)) ->
% composition(top,complement(A))
% Current number of equations to process: 4848
% Current number of ordered equations: 0
% Current number of rules: 361
% New rule produced :
% [622]
% composition(complement(A),top) join complement(composition(top,A)) ->
% composition(complement(A),top)
% Current number of equations to process: 4847
% Current number of ordered equations: 0
% Current number of rules: 362
% New rule produced :
% [623]
% converse(composition(composition(top,A),top)) ->
% composition(composition(top,A),top)
% Rule
% [564]
% converse(composition(composition(top,A),top)) join converse(complement(A)) ->
% top collapsed.
% Current number of equations to process: 5000
% Current number of ordered equations: 0
% Current number of rules: 362
% New rule produced :
% [624] converse(complement(A)) join composition(composition(top,A),top) -> top
% Current number of equations to process: 4999
% Current number of ordered equations: 0
% Current number of rules: 363
% New rule produced :
% [625]
% composition(complement(converse(complement(composition(A,top)))),A) ->
% composition(top,A)
% Rule
% [424]
% converse(composition(complement(converse(complement(composition(A,top)))),A))
% -> converse(composition(top,A)) collapsed.
% Current number of equations to process: 484
% Current number of ordered equations: 0
% Current number of rules: 363
% New rule produced :
% [626] composition(complement(composition(complement(A),top)),B) join A -> A
% Rule
% [425] composition(complement(composition(complement(A),top)),top) join A -> A
% collapsed.
% Current number of equations to process: 525
% Current number of ordered equations: 0
% Current number of rules: 363
% New rule produced :
% [627] composition(top,complement(A)) join composition(A,top) -> top
% Current number of equations to process: 1243
% Current number of ordered equations: 1
% Current number of rules: 364
% New rule produced :
% [628] composition(composition(top,complement(A)),top) join A -> top
% Current number of equations to process: 1243
% Current number of ordered equations: 0
% Current number of rules: 365
% New rule produced :
% [629]
% converse(complement(composition(top,complement(A)))) join converse(A) ->
% converse(A)
% Current number of equations to process: 1514
% Current number of ordered equations: 0
% Current number of rules: 366
% New rule produced :
% [630]
% composition(composition(top,complement(one)),A) join A -> composition(top,A)
% Current number of equations to process: 1626
% Current number of ordered equations: 0
% Current number of rules: 367
% New rule produced :
% [631]
% complement(composition(complement(composition(complement(A),top)),B)) join A
% -> top
% Current number of equations to process: 1762
% Current number of ordered equations: 0
% Current number of rules: 368
% New rule produced :
% [632]
% composition(A,composition(top,complement(B))) join B ->
% composition(A,top) join B
% Current number of equations to process: 1761
% Current number of ordered equations: 0
% Current number of rules: 369
% New rule produced :
% [633]
% converse(composition(top,A)) join composition(top,complement(converse(A))) ->
% top
% Current number of equations to process: 1760
% Current number of ordered equations: 0
% Current number of rules: 370
% New rule produced :
% [634]
% composition(composition(complement(one),top),complement(composition(complement(one),top)))
% -> zero
% Current number of equations to process: 1757
% Current number of ordered equations: 0
% Current number of rules: 371
% Rule [551]
% composition(composition(A,top),complement(one)) <->
% converse(composition(composition(complement(one),top),converse(A))) is composed into 
% [551]
% composition(composition(A,top),complement(one)) <->
% converse(converse(composition(A,composition(complement(one),top))))
% Rule [541]
% converse(composition(composition(A,top),complement(one))) <->
% composition(composition(complement(one),top),converse(A)) is composed into 
% [541]
% converse(composition(composition(A,top),complement(one))) <->
% converse(composition(A,composition(complement(one),top)))
% New rule produced :
% [635]
% composition(composition(complement(one),top),converse(A)) ->
% converse(composition(A,composition(complement(one),top)))
% Rule
% [542]
% composition(composition(complement(one),top),converse(A)) <->
% converse(composition(composition(A,top),complement(one))) collapsed.
% Rule
% [550]
% converse(composition(composition(complement(one),top),converse(A))) <->
% composition(composition(A,top),complement(one)) collapsed.
% Current number of equations to process: 1758
% Current number of ordered equations: 0
% Current number of rules: 370
% New rule produced :
% [636]
% converse(composition(complement(one),composition(top,A))) <->
% composition(converse(A),composition(complement(one),top))
% Current number of equations to process: 1756
% Current number of ordered equations: 1
% Current number of rules: 371
% New rule produced :
% [637]
% composition(converse(A),composition(complement(one),top)) <->
% converse(composition(complement(one),composition(top,A)))
% Current number of equations to process: 1756
% Current number of ordered equations: 0
% Current number of rules: 372
% New rule produced :
% [638]
% converse(composition(top,composition(complement(A),top))) join converse(A) ->
% top
% Current number of equations to process: 1754
% Current number of ordered equations: 0
% Current number of rules: 373
% New rule produced :
% [639]
% converse(composition(top,composition(A,top))) join converse(complement(A)) ->
% top
% Current number of equations to process: 1752
% Current number of ordered equations: 1
% Current number of rules: 374
% New rule produced :
% [640]
% converse(composition(top,complement(A))) join converse(composition(A,top)) ->
% top
% Current number of equations to process: 1752
% Current number of ordered equations: 0
% Current number of rules: 375
% New rule produced :
% [641]
% complement(composition(composition(top,A),top)) join complement(A) ->
% complement(A)
% Current number of equations to process: 1816
% Current number of ordered equations: 0
% Current number of rules: 376
% New rule produced :
% [642]
% converse(A) join composition(composition(top,A),top) ->
% composition(composition(top,A),top)
% Current number of equations to process: 2187
% Current number of ordered equations: 0
% Current number of rules: 377
% New rule produced :
% [643]
% composition(composition(top,A),top) join complement(composition(A,B)) -> top
% Current number of equations to process: 3252
% Current number of ordered equations: 0
% Current number of rules: 378
% New rule produced :
% [644]
% composition(top,A) join complement(composition(top,complement(A))) ->
% composition(top,A)
% Current number of equations to process: 3435
% Current number of ordered equations: 0
% Current number of rules: 379
% New rule produced :
% [645]
% composition(top,A) join complement(composition(complement(A),top)) ->
% composition(top,A)
% Current number of equations to process: 3500
% Current number of ordered equations: 0
% Current number of rules: 380
% New rule produced :
% [646]
% complement(composition(A,complement(composition(top,composition(A,top))))) ->
% top
% Current number of equations to process: 3780
% Current number of ordered equations: 0
% Current number of rules: 381
% New rule produced :
% [647]
% composition(composition(A,top),converse(composition(B,top))) ->
% composition(A,converse(composition(B,top)))
% Current number of equations to process: 3965
% Current number of ordered equations: 0
% Current number of rules: 382
% New rule produced :
% [648]
% composition(converse(composition(top,A)),composition(top,B)) ->
% composition(converse(composition(top,A)),B)
% Current number of equations to process: 3961
% Current number of ordered equations: 0
% Current number of rules: 383
% New rule produced :
% [649]
% composition(composition(A,top),composition(complement(one),top)) ->
% composition(A,composition(complement(one),top))
% Current number of equations to process: 3959
% Current number of ordered equations: 0
% Current number of rules: 384
% New rule produced :
% [650]
% composition(composition(top,complement(one)),composition(top,A)) ->
% composition(composition(complement(one),top),A)
% Current number of equations to process: 3958
% Current number of ordered equations: 0
% Current number of rules: 385
% New rule produced :
% [651]
% converse(composition(converse(A),composition(complement(one),top))) <->
% composition(complement(one),composition(top,A))
% Current number of equations to process: 3954
% Current number of ordered equations: 1
% Current number of rules: 386
% New rule produced :
% [652]
% composition(complement(one),composition(top,A)) <->
% converse(composition(converse(A),composition(complement(one),top)))
% Current number of equations to process: 3954
% Current number of ordered equations: 0
% Current number of rules: 387
% New rule produced :
% [653]
% converse(composition(complement(one),complement(one))) join complement(one)
% -> composition(complement(one),top)
% Current number of equations to process: 3953
% Current number of ordered equations: 0
% Current number of rules: 388
% New rule produced :
% [654]
% composition(A,composition(top,B)) join complement(B) ->
% composition(A,top) join complement(B)
% Current number of equations to process: 3952
% Current number of ordered equations: 0
% Current number of rules: 389
% New rule produced :
% [655] composition(top,composition(A,top)) join complement(A) -> top
% Current number of equations to process: 4425
% Current number of ordered equations: 0
% Current number of rules: 390
% New rule produced :
% [656]
% composition(top,complement(A)) join complement(composition(A,top)) ->
% composition(top,complement(A))
% Current number of equations to process: 3096
% Current number of ordered equations: 0
% Current number of rules: 391
% New rule produced :
% [657] composition(composition(top,A),top) join complement(converse(A)) -> top
% Current number of equations to process: 3271
% Current number of ordered equations: 0
% Current number of rules: 392
% New rule produced :
% [658] converse(A) join composition(composition(top,complement(A)),top) -> top
% Current number of equations to process: 3501
% Current number of ordered equations: 0
% Current number of rules: 393
% New rule produced :
% [659]
% converse(composition(complement(converse(A)),top)) join composition(A,top) ->
% top
% Current number of equations to process: 3591
% Current number of ordered equations: 0
% Current number of rules: 394
% New rule produced :
% [660]
% converse(composition(top,complement(converse(A)))) join composition(A,top) ->
% top
% Current number of equations to process: 3760
% Current number of ordered equations: 0
% Current number of rules: 395
% New rule produced :
% [661]
% composition(composition(top,B),converse(composition(A,B))) ->
% converse(composition(composition(A,B),top))
% Current number of equations to process: 3959
% Current number of ordered equations: 0
% Current number of rules: 396
% New rule produced :
% [662]
% composition(complement(one),composition(top,complement(one))) ->
% composition(complement(one),top)
% Current number of equations to process: 4202
% Current number of ordered equations: 0
% Current number of rules: 397
% New rule produced :
% [663]
% converse(composition(complement(one),complement(one))) ->
% composition(complement(one),complement(one))
% Rule
% [653]
% converse(composition(complement(one),complement(one))) join complement(one)
% -> composition(complement(one),top) collapsed.
% Current number of equations to process: 4241
% Current number of ordered equations: 0
% Current number of rules: 397
% New rule produced :
% [664]
% composition(composition(complement(one),top),complement(one)) ->
% composition(complement(one),top)
% Current number of equations to process: 4243
% Current number of ordered equations: 0
% Current number of rules: 398
% New rule produced :
% [665] composition(top,composition(complement(A),top)) join A -> top
% Current number of equations to process: 4426
% Current number of ordered equations: 0
% Current number of rules: 399
% New rule produced :
% [666]
% composition(composition(top,complement(one)),A) <->
% composition(complement(one),composition(top,A))
% Rule
% [516]
% composition(composition(top,complement(one)),top) ->
% composition(top,complement(one)) collapsed.
% Current number of equations to process: 4727
% Current number of ordered equations: 0
% Current number of rules: 399
% New rule produced :
% [667]
% composition(complement(one),complement(composition(top,complement(one)))) ->
% zero
% Current number of equations to process: 4917
% Current number of ordered equations: 0
% Current number of rules: 400
% New rule produced :
% [668]
% composition(A,composition(top,complement(one))) <->
% composition(composition(A,complement(one)),top)
% Current number of equations to process: 4914
% Current number of ordered equations: 1
% Current number of rules: 401
% New rule produced :
% [669]
% composition(composition(A,complement(one)),top) <->
% composition(A,composition(top,complement(one)))
% Current number of equations to process: 4914
% Current number of ordered equations: 0
% Current number of rules: 402
% New rule produced :
% [670]
% one join composition(A,complement(composition(complement(one),top))) -> one
% Current number of equations to process: 4908
% Current number of ordered equations: 0
% Current number of rules: 403
% New rule produced :
% [671]
% converse(composition(composition(top,complement(one)),complement(one))) ->
% composition(complement(one),top)
% Current number of equations to process: 4907
% Current number of ordered equations: 0
% Current number of rules: 404
% New rule produced :
% [672]
% converse(complement(composition(complement(A),top))) join converse(A) ->
% converse(A)
% Current number of equations to process: 4906
% Current number of ordered equations: 0
% Current number of rules: 405
% New rule produced :
% [673]
% complement(composition(top,composition(A,top))) join complement(A) ->
% complement(A)
% Current number of equations to process: 4905
% Current number of ordered equations: 0
% Current number of rules: 406
% New rule produced :
% [674]
% composition(top,complement(composition(top,complement(one)))) ->
% complement(composition(complement(one),top))
% Current number of equations to process: 4969
% Current number of ordered equations: 0
% Current number of rules: 407
% New rule produced :
% [675]
% composition(A,composition(complement(one),top)) join A -> composition(A,top)
% Current number of equations to process: 1929
% Current number of ordered equations: 0
% Current number of rules: 408
% New rule produced :
% [676] complement(composition(composition(top,complement(A)),top)) join A -> A
% Current number of equations to process: 2333
% Current number of ordered equations: 0
% Current number of rules: 409
% New rule produced :
% [677]
% composition(composition(complement(one),top),complement(composition(top,
% complement(one)))) ->
% zero
% Current number of equations to process: 2436
% Current number of ordered equations: 0
% Current number of rules: 410
% Rule [553]
% composition(complement(one),composition(top,A)) <->
% converse(composition(converse(A),composition(top,complement(one)))) is composed into 
% [553]
% composition(complement(one),composition(top,A)) <->
% converse(converse(composition(composition(complement(one),top),A)))
% Rule [543]
% converse(composition(complement(one),composition(top,A))) <->
% composition(converse(A),composition(top,complement(one))) is composed into 
% [543]
% converse(composition(complement(one),composition(top,A))) <->
% converse(composition(composition(complement(one),top),A))
% New rule produced :
% [678]
% composition(converse(A),composition(top,complement(one))) ->
% converse(composition(composition(complement(one),top),A))
% Rule
% [544]
% composition(converse(A),composition(top,complement(one))) <->
% converse(composition(complement(one),composition(top,A))) collapsed.
% Rule
% [552]
% converse(composition(converse(A),composition(top,complement(one)))) <->
% composition(complement(one),composition(top,A)) collapsed.
% Current number of equations to process: 2435
% Current number of ordered equations: 0
% Current number of rules: 409
% Rule [652]
% composition(complement(one),composition(top,A)) <->
% converse(composition(converse(A),composition(complement(one),top))) is composed into 
% [652]
% composition(complement(one),composition(top,A)) <->
% converse(converse(composition(composition(top,complement(one)),A)))
% Rule [636]
% converse(composition(complement(one),composition(top,A))) <->
% composition(converse(A),composition(complement(one),top)) is composed into 
% [636]
% converse(composition(complement(one),composition(top,A))) <->
% converse(composition(composition(top,complement(one)),A))
% New rule produced :
% [679]
% composition(converse(A),composition(complement(one),top)) ->
% converse(composition(composition(top,complement(one)),A))
% Rule
% [637]
% composition(converse(A),composition(complement(one),top)) <->
% converse(composition(complement(one),composition(top,A))) collapsed.
% Rule
% [651]
% converse(composition(converse(A),composition(complement(one),top))) <->
% composition(complement(one),composition(top,A)) collapsed.
% Current number of equations to process: 2434
% Current number of ordered equations: 0
% Current number of rules: 408
% New rule produced :
% [680]
% composition(composition(top,complement(one)),converse(A)) ->
% converse(composition(A,composition(complement(one),top)))
% Current number of equations to process: 2433
% Current number of ordered equations: 0
% Current number of rules: 409
% New rule produced :
% [681]
% composition(complement(one),top) join complement(composition(A,complement(one)))
% -> top
% Current number of equations to process: 2429
% Current number of ordered equations: 0
% Current number of rules: 410
% New rule produced :
% [682]
% composition(top,complement(A)) join composition(composition(top,A),top) ->
% top
% Current number of equations to process: 2428
% Current number of ordered equations: 0
% Current number of rules: 411
% New rule produced :
% [683]
% composition(composition(top,A),top) join composition(complement(A),top) ->
% top
% Current number of equations to process: 2427
% Current number of ordered equations: 0
% Current number of rules: 412
% New rule produced :
% [684]
% composition(top,composition(complement(A),top)) join composition(top,A) ->
% top
% Current number of equations to process: 2426
% Current number of ordered equations: 0
% Current number of rules: 413
% New rule produced :
% [685]
% composition(A,composition(B,top)) join complement(composition(A,B)) -> top
% Current number of equations to process: 2424
% Current number of ordered equations: 0
% Current number of rules: 414
% New rule produced :
% [686]
% composition(top,complement(one)) join complement(composition(complement(one),top))
% -> top
% Current number of equations to process: 2421
% Current number of ordered equations: 0
% Current number of rules: 415
% New rule produced :
% [687]
% one join complement(composition(A,complement(composition(complement(one),top))))
% -> top
% Current number of equations to process: 2420
% Current number of ordered equations: 0
% Current number of rules: 416
% New rule produced :
% [688]
% composition(top,complement(one)) join complement(composition(complement(one),A))
% -> top
% Rule
% [686]
% composition(top,complement(one)) join complement(composition(complement(one),top))
% -> top collapsed.
% Current number of equations to process: 2416
% Current number of ordered equations: 0
% Current number of rules: 416
% New rule produced :
% [689]
% composition(top,A) join composition(composition(top,complement(A)),top) ->
% top
% Current number of equations to process: 2405
% Current number of ordered equations: 0
% Current number of rules: 417
% New rule produced :
% [690]
% composition(composition(top,complement(A)),top) join composition(A,top) ->
% top
% Current number of equations to process: 2403
% Current number of ordered equations: 0
% Current number of rules: 418
% New rule produced :
% [691]
% composition(composition(top,complement(one)),complement(one)) ->
% composition(complement(one),top)
% Rule
% [671]
% converse(composition(composition(top,complement(one)),complement(one))) ->
% composition(complement(one),top) collapsed.
% Current number of equations to process: 2460
% Current number of ordered equations: 0
% Current number of rules: 418
% New rule produced :
% [692]
% composition(composition(complement(one),top),A) join A -> composition(top,A)
% Current number of equations to process: 2564
% Current number of ordered equations: 0
% Current number of rules: 419
% New rule produced :
% [693]
% composition(top,composition(A,top)) join complement(composition(B,A)) -> top
% Current number of equations to process: 4564
% Current number of ordered equations: 0
% Current number of rules: 420
% New rule produced :
% [694]
% composition(complement(one),top) join composition(A,complement(one)) ->
% composition(complement(one),top)
% Current number of equations to process: 4884
% Current number of ordered equations: 0
% Current number of rules: 421
% New rule produced :
% [695]
% composition(complement(A),top) join complement(composition(A,top)) ->
% composition(complement(A),top)
% Current number of equations to process: 4883
% Current number of ordered equations: 0
% Current number of rules:Cputime limit exceeded (core dumped)
% 
% EOF
%------------------------------------------------------------------------------