%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : REL018-1 : TPTP v6.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n160.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 00:30:59 EDT 2014

% Result   : Timeout 300.07s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : REL018-1 : TPTP v6.0.0. Released v4.0.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n160.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 18:41:58 CDT 2014
% % CPUTime  : 300.07 
% Processing problem /tmp/CiME_53361_n160.star.cs.uiowa.edu
% #verbose 1;
% let F = signature "  join : AC; sk1,zero,top,one : constant;  converse : 1;  composition : 2;  meet : 2;  complement : 1;";
% let X = vars "A B C";
% let Axioms = equations F X "
% composition(composition(A,B),C) = composition(A,composition(B,C));
% A = complement(complement(A) join complement(B)) join complement(complement(A) join B);
% meet(A,B) = complement(complement(A) join complement(B));
% composition(A,one) = A;
% composition(A join B,C) = composition(A,C) join composition(B,C);
% converse(converse(A)) = A;
% converse(A join B) = converse(A) join converse(B);
% converse(composition(A,B)) = composition(converse(B),converse(A));
% composition(converse(A),complement(composition(A,B))) join complement(B) = complement(B);
% top = A join complement(A);
% zero = meet(A,complement(A));
% composition(sk1,top) = sk1;
% ";
% 
% let s1 = status F "
% 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";
% 
% let s2 = status F "
% 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";
% 
% let o_auto = AUTO Axioms;
% 
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 
% let Conjectures = equations F X " composition(complement(sk1),top) = complement(sk1);"
% ;
% (*
% let Red_Axioms = normalize_equations Defining_rules Axioms;
% 
% let Red_Conjectures =  normalize_equations Defining_rules Conjectures;
% *)
% #time on;
% 
% let res = prove_conj_by_ordered_completion o Axioms Conjectures;
% 
% #time off;
% 
% 
% let status = if res then "unsatisfiable" else "satisfiable";
% #quit;
% Verbose level is now 1
% 
% F : signature = <signature>
% X : variable_set = <variable set>
% 
% Axioms : (F,X) equations = { composition(composition(A,B),C) =
% composition(A,composition(B,C)),
% A =
% complement(complement(A) join complement(B)) join 
% complement(complement(A) join B),
% meet(A,B) =
% complement(complement(A) join complement(B)),
% composition(A,one) = A,
% composition(A join B,C) =
% composition(A,C) join composition(B,C),
% converse(converse(A)) = A,
% converse(A join B) =
% converse(A) join converse(B),
% converse(composition(A,B)) =
% composition(converse(B),converse(A)),
% composition(converse(A),complement(composition(A,B))) join 
% complement(B) = complement(B),
% top = complement(A) join A,
% zero = meet(A,complement(A)),
% composition(sk1,top) = sk1 } (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 = { composition(complement(sk1),top) =
% complement(sk1) } (1 equation(s))
% time is now on
% 
% Initializing completion ...
% New rule produced : [1] converse(converse(A)) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 12
% Current number of rules: 1
% New rule produced : [2] composition(A,one) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 11
% Current number of rules: 2
% New rule produced : [3] composition(sk1,top) -> sk1
% Current number of equations to process: 0
% Current number of ordered equations: 10
% Current number of rules: 3
% New rule produced : [4] complement(A) join A -> top
% Current number of equations to process: 0
% Current number of ordered equations: 9
% Current number of rules: 4
% New rule produced : [5] meet(A,complement(A)) -> 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 [5] meet(A,complement(A)) -> zero collapsed.
% Current number of equations to process: 24
% Current number of ordered equations: 9
% Current number of rules: 9
% New rule produced : [11] complement(top) -> zero
% Current number of equations to process: 23
% Current number of ordered equations: 9
% Current number of rules: 10
% New rule produced :
% [12] composition(A join B,C) -> composition(A,C) join composition(B,C)
% Current number of equations to process: 23
% Current number of ordered equations: 8
% Current number of rules: 11
% New rule produced :
% [13]
% composition(converse(A),complement(composition(A,B))) join complement(B) ->
% complement(B)
% Current number of equations to process: 23
% Current number of ordered equations: 7
% Current number of rules: 12
% New rule produced :
% [14]
% complement(complement(A) join complement(B)) join complement(complement(A) join B)
% -> A
% Current number of equations to process: 23
% Current number of ordered equations: 6
% Current number of rules: 13
% New rule produced : [15] top join complement(complement(A)) -> top join A
% Current number of equations to process: 24
% Current number of ordered equations: 5
% Current number of rules: 14
% New rule produced :
% [16] composition(composition(A,sk1),top) -> composition(A,sk1)
% Current number of equations to process: 23
% Current number of ordered equations: 5
% Current number of rules: 15
% 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: 16
% 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: 17
% 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: 18
% 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: 19
% New rule produced :
% [21] composition(converse(A),B) <-> converse(composition(converse(B),A))
% Current number of equations to process: 23
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [22] composition(A,composition(one,B)) -> composition(A,B)
% Current number of equations to process: 26
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [23] composition(sk1,composition(top,A)) -> composition(sk1,A)
% Current number of equations to process: 25
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced : [24] zero join top -> top
% Current number of equations to process: 31
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [25] composition(complement(B),A) join composition(B,A) -> composition(top,A)
% Current number of equations to process: 43
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [26] top join composition(converse(A),complement(composition(A,B))) -> top
% Current number of equations to process: 42
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [27] top join complement(A join B) join B -> top join complement(A)
% Current number of equations to process: 41
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [28]
% composition(A,converse(composition(B,C))) <->
% composition(composition(A,converse(C)),converse(B))
% Current number of equations to process: 40
% Current number of ordered equations: 1
% Current number of rules: 27
% New rule produced :
% [29]
% composition(composition(A,converse(C)),converse(B)) <->
% composition(A,converse(composition(B,C)))
% Current number of equations to process: 40
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [30]
% composition(converse(B),composition(converse(A),C)) <->
% composition(converse(composition(A,B)),C)
% Current number of equations to process: 39
% Current number of ordered equations: 1
% Current number of rules: 29
% New rule produced :
% [31]
% composition(converse(composition(A,B)),C) <->
% composition(converse(B),composition(converse(A),C))
% Current number of equations to process: 39
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [32] top join complement(complement(A join B) join B) -> top join A
% Current number of equations to process: 36
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [33]
% composition(A,composition(composition(B,C),V_3)) <->
% composition(composition(A,B),composition(C,V_3))
% Current number of equations to process: 35
% Current number of ordered equations: 1
% Current number of rules: 32
% New rule produced :
% [34]
% composition(composition(A,B),composition(C,V_3)) <->
% composition(A,composition(composition(B,C),V_3))
% Current number of equations to process: 35
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [35]
% composition(A,composition(composition(B,C),V_3)) <->
% composition(composition(composition(A,B),C),V_3)
% Current number of equations to process: 32
% Current number of ordered equations: 5
% Current number of rules: 34
% New rule produced :
% [36]
% composition(A,composition(B,composition(C,V_3))) <->
% composition(composition(A,composition(B,C)),V_3)
% Current number of equations to process: 32
% Current number of ordered equations: 4
% Current number of rules: 35
% New rule produced :
% [37]
% composition(A,composition(B,composition(C,V_3))) <->
% composition(composition(composition(A,B),C),V_3)
% Current number of equations to process: 32
% Current number of ordered equations: 3
% Current number of rules: 36
% New rule produced :
% [38]
% composition(composition(A,composition(B,C)),V_3) <->
% composition(A,composition(B,composition(C,V_3)))
% Current number of equations to process: 32
% Current number of ordered equations: 2
% Current number of rules: 37
% New rule produced :
% [39]
% composition(composition(composition(A,B),C),V_3) <->
% composition(A,composition(composition(B,C),V_3))
% Current number of equations to process: 32
% Current number of ordered equations: 1
% Current number of rules: 38
% New rule produced :
% [40]
% composition(composition(composition(A,B),C),V_3) <->
% composition(A,composition(B,composition(C,V_3)))
% Current number of equations to process: 32
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [41]
% composition(composition(A,composition(B,C)),V_3) <->
% composition(composition(A,B),composition(C,V_3))
% Current number of equations to process: 31
% Current number of ordered equations: 1
% Current number of rules: 40
% New rule produced :
% [42]
% composition(composition(A,B),composition(C,V_3)) <->
% composition(composition(A,composition(B,C)),V_3)
% Current number of equations to process: 31
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [43] zero join composition(converse(sk1),complement(sk1)) -> zero
% Current number of equations to process: 36
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [44]
% composition(converse(A),complement(A)) join complement(one) ->
% complement(one)
% Current number of equations to process: 40
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [45]
% zero join composition(converse(A),complement(composition(A,top))) -> zero
% Current number of equations to process: 45
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [46] zero join complement(complement(A) join complement(A)) -> A
% Current number of equations to process: 73
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [47] top join complement(complement(A) join B) -> top join complement(B)
% Rule [32] top join complement(complement(A join B) join B) -> top join A
% collapsed.
% Current number of equations to process: 72
% Current number of ordered equations: 1
% Current number of rules: 45
% New rule produced : [48] top join A <-> top join complement(B)
% Rule [15] top join complement(complement(A)) -> top join A collapsed.
% Rule
% [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 [47] top join complement(complement(A) join B) -> top join complement(B)
% collapsed.
% Current number of equations to process: 73
% Current number of ordered equations: 2
% Current number of rules: 42
% Rule [48] top join A <-> top join complement(B) is composed into [48]
% top join A
% -> top
% New rule produced : [49] top join complement(B) -> top
% Current number of equations to process: 72
% Current number of ordered equations: 1
% Current number of rules: 43
% New rule produced :
% [50] zero join complement(complement(complement(A)) join A) -> complement(A)
% Current number of equations to process: 71
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced : [51] complement(complement(A)) -> A
% Rule
% [50] zero join complement(complement(complement(A)) join A) -> complement(A)
% collapsed.
% Current number of equations to process: 69
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced : [52] zero join complement(A join A) -> complement(A)
% Rule [46] zero join complement(complement(A) join complement(A)) -> A
% collapsed.
% Current number of equations to process: 68
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [53]
% converse(composition(C,A join B)) ->
% converse(composition(C,A)) join converse(composition(C,B))
% Current number of equations to process: 66
% Current number of ordered equations: 1
% Current number of rules: 45
% New rule produced :
% [54]
% composition(converse(A),converse(B) join converse(C)) ->
% converse(composition(B,A)) join converse(composition(C,A))
% Current number of equations to process: 66
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [55]
% composition(A,complement(composition(converse(A),B))) join complement(B) ->
% complement(B)
% Current number of equations to process: 65
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [56]
% converse(complement(A join B)) join converse(A) join converse(B) ->
% converse(top)
% Current number of equations to process: 61
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced : [57] zero join complement(zero join complement(A)) -> A
% Current number of equations to process: 75
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [58]
% complement(complement(A) join B) join B <->
% complement(complement(B) join A) join A
% Current number of equations to process: 74
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [59] complement(zero join complement(A)) join complement(zero join A) -> top
% Current number of equations to process: 72
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced : [60] converse(top) join complement(converse(A)) -> top
% Current number of equations to process: 93
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [61] converse(complement(converse(A))) join A -> converse(top)
% Current number of equations to process: 92
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced : [62] converse(zero) join converse(top) -> converse(top)
% Current number of equations to process: 93
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [63]
% composition(composition(A,sk1),composition(top,B)) ->
% composition(composition(A,sk1),B)
% Current number of equations to process: 92
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced : [64] composition(converse(one),A) -> A
% Current number of equations to process: 101
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [65]
% converse(composition(converse(A),B)) <->
% composition(converse(composition(one,B)),A)
% Current number of equations to process: 133
% Current number of ordered equations: 1
% Current number of rules: 57
% New rule produced :
% [66]
% composition(converse(composition(one,B)),A) <->
% converse(composition(converse(A),B))
% Current number of equations to process: 133
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [67]
% composition(A,converse(composition(B,converse(one)))) ->
% composition(A,converse(B))
% Current number of equations to process: 134
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [68]
% converse(composition(converse(composition(one,A)),B)) <->
% composition(converse(B),A)
% Current number of equations to process: 133
% Current number of ordered equations: 1
% Current number of rules: 60
% New rule produced :
% [69]
% composition(converse(B),A) <->
% converse(composition(converse(composition(one,A)),B))
% Current number of equations to process: 133
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced : [70] converse(top) join converse(A) -> converse(top)
% Rule [62] converse(zero) join converse(top) -> converse(top) collapsed.
% Current number of equations to process: 133
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [71] sk1 join composition(complement(sk1),top) -> composition(top,top)
% Current number of equations to process: 144
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [72] composition(zero,A) join composition(top,A) -> composition(top,A)
% Current number of equations to process: 156
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [73] composition(top,A) join complement(composition(B,A)) -> top
% Current number of equations to process: 155
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [74]
% composition(A,composition(composition(one,B),C)) ->
% composition(A,composition(B,C))
% Current number of equations to process: 158
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [75]
% converse(composition(A,composition(B,converse(C)))) <->
% composition(C,converse(composition(A,B)))
% Current number of equations to process: 154
% Current number of ordered equations: 1
% Current number of rules: 66
% New rule produced :
% [76]
% composition(C,converse(composition(A,B))) <->
% converse(composition(A,composition(B,converse(C))))
% Current number of equations to process: 154
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [77]
% converse(composition(composition(converse(A),B),C)) <->
% composition(converse(composition(B,C)),A)
% Current number of equations to process: 153
% Current number of ordered equations: 1
% Current number of rules: 68
% New rule produced :
% [78]
% composition(converse(composition(B,C)),A) <->
% converse(composition(composition(converse(A),B),C))
% Current number of equations to process: 153
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [79]
% composition(A,converse(composition(B,converse(C)))) <->
% composition(composition(A,C),converse(B))
% Current number of equations to process: 152
% Current number of ordered equations: 1
% Current number of rules: 70
% New rule produced :
% [80]
% composition(composition(A,C),converse(B)) <->
% composition(A,converse(composition(B,converse(C))))
% Current number of equations to process: 152
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [81]
% converse(composition(C,converse(composition(A,B)))) <->
% composition(A,composition(B,converse(C)))
% Current number of equations to process: 150
% Current number of ordered equations: 3
% Current number of rules: 72
% New rule produced :
% [82]
% composition(A,composition(B,converse(C))) <->
% converse(composition(C,converse(composition(A,B))))
% Current number of equations to process: 150
% Current number of ordered equations: 2
% Current number of rules: 73
% New rule produced :
% [83]
% composition(B,composition(converse(A),C)) <->
% composition(converse(composition(A,converse(B))),C)
% Current number of equations to process: 150
% Current number of ordered equations: 1
% Current number of rules: 74
% New rule produced :
% [84]
% composition(converse(composition(A,converse(B))),C) <->
% composition(B,composition(converse(A),C))
% Current number of equations to process: 150
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [85]
% converse(composition(converse(composition(B,C)),A)) <->
% composition(composition(converse(A),B),C)
% Current number of equations to process: 148
% Current number of ordered equations: 3
% Current number of rules: 76
% New rule produced :
% [86]
% composition(A,converse(composition(converse(B),C))) <->
% composition(composition(A,converse(C)),B)
% Current number of equations to process: 148
% Current number of ordered equations: 2
% Current number of rules: 77
% New rule produced :
% [87]
% composition(composition(converse(A),B),C) <->
% converse(composition(converse(composition(B,C)),A))
% Current number of equations to process: 148
% Current number of ordered equations: 1
% Current number of rules: 78
% New rule produced :
% [88]
% composition(composition(A,converse(C)),B) <->
% composition(A,converse(composition(converse(B),C)))
% Current number of equations to process: 148
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [89]
% composition(converse(B),composition(A,C)) <->
% composition(converse(composition(converse(A),B)),C)
% Current number of equations to process: 147
% Current number of ordered equations: 1
% Current number of rules: 80
% New rule produced :
% [90]
% composition(converse(composition(converse(A),B)),C) <->
% composition(converse(B),composition(A,C))
% Current number of equations to process: 147
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [91] converse(top) join complement(converse(A) join B) join B -> top
% Current number of equations to process: 148
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [92]
% converse(composition(C,composition(B,converse(A)))) <->
% composition(composition(A,converse(B)),converse(C))
% Current number of equations to process: 146
% Current number of ordered equations: 3
% Current number of rules: 83
% New rule produced :
% [93]
% converse(composition(composition(C,converse(B)),A)) <->
% composition(converse(A),composition(B,converse(C)))
% Current number of equations to process: 146
% Current number of ordered equations: 2
% Current number of rules: 84
% New rule produced :
% [94]
% composition(converse(A),composition(B,converse(C))) <->
% converse(composition(composition(C,converse(B)),A))
% Current number of equations to process: 146
% Current number of ordered equations: 1
% Current number of rules: 85
% New rule produced :
% [95]
% composition(composition(A,converse(B)),converse(C)) <->
% converse(composition(C,composition(B,converse(A))))
% Current number of equations to process: 146
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [96]
% converse(composition(C,composition(converse(B),A))) <->
% composition(composition(converse(A),B),converse(C))
% Current number of equations to process: 143
% Current number of ordered equations: 3
% Current number of rules: 87
% New rule produced :
% [97]
% converse(composition(composition(converse(C),B),A)) <->
% composition(converse(A),composition(converse(B),C))
% Current number of equations to process: 143
% Current number of ordered equations: 2
% Current number of rules: 88
% New rule produced :
% [98]
% composition(converse(A),composition(converse(B),C)) <->
% converse(composition(composition(converse(C),B),A))
% Current number of equations to process: 143
% Current number of ordered equations: 1
% Current number of rules: 89
% New rule produced :
% [99]
% composition(composition(converse(A),B),converse(C)) <->
% converse(composition(C,composition(converse(B),A)))
% Current number of equations to process: 143
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [100]
% composition(composition(A,converse(one)),converse(B)) ->
% composition(A,converse(B))
% Current number of equations to process: 153
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [101]
% converse(composition(composition(C,converse(B)),converse(A))) <->
% composition(A,composition(B,converse(C)))
% Current number of equations to process: 156
% Current number of ordered equations: 1
% Current number of rules: 92
% New rule produced :
% [102]
% composition(A,composition(B,converse(C))) <->
% converse(composition(composition(C,converse(B)),converse(A)))
% Current number of equations to process: 156
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [103]
% converse(composition(composition(converse(C),B),converse(A))) <->
% composition(A,composition(converse(B),C))
% Current number of equations to process: 155
% Current number of ordered equations: 1
% Current number of rules: 94
% New rule produced :
% [104]
% composition(A,composition(converse(B),C)) <->
% converse(composition(composition(converse(C),B),converse(A)))
% Current number of equations to process: 155
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [105]
% converse(composition(converse(C),composition(B,converse(A)))) <->
% composition(composition(A,converse(B)),C)
% Current number of equations to process: 154
% Current number of ordered equations: 1
% Current number of rules: 96
% New rule produced :
% [106]
% composition(composition(A,converse(B)),C) <->
% converse(composition(converse(C),composition(B,converse(A))))
% Current number of equations to process: 154
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [107]
% converse(composition(converse(C),composition(converse(B),A))) <->
% composition(composition(converse(A),B),C)
% Current number of equations to process: 153
% Current number of ordered equations: 1
% Current number of rules: 98
% New rule produced :
% [108]
% composition(composition(converse(A),B),C) <->
% converse(composition(converse(C),composition(converse(B),A)))
% Current number of equations to process: 153
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [109]
% converse(composition(composition(A,B),converse(C))) <->
% composition(composition(C,converse(B)),converse(A))
% Current number of equations to process: 169
% Current number of ordered equations: 1
% Current number of rules: 100
% New rule produced :
% [110]
% composition(composition(C,converse(B)),converse(A)) <->
% converse(composition(composition(A,B),converse(C)))
% Current number of equations to process: 169
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [111]
% converse(composition(composition(A,converse(B)),converse(C))) <->
% composition(composition(C,B),converse(A))
% Current number of equations to process: 168
% Current number of ordered equations: 1
% Current number of rules: 102
% New rule produced :
% [112]
% composition(composition(C,B),converse(A)) <->
% converse(composition(composition(A,converse(B)),converse(C)))
% Current number of equations to process: 168
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [113]
% converse(composition(A,converse(composition(B,C)))) <->
% composition(B,converse(composition(A,converse(C))))
% Current number of equations to process: 184
% Current number of ordered equations: 1
% Current number of rules: 104
% New rule produced :
% [114]
% composition(B,converse(composition(A,converse(C)))) <->
% converse(composition(A,converse(composition(B,C))))
% Current number of equations to process: 184
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [115]
% converse(composition(A,converse(composition(B,converse(C))))) <->
% composition(B,converse(composition(A,C)))
% Current number of equations to process: 183
% Current number of ordered equations: 1
% Current number of rules: 106
% New rule produced :
% [116]
% composition(B,converse(composition(A,C))) <->
% converse(composition(A,converse(composition(B,converse(C)))))
% Current number of equations to process: 183
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [117]
% converse(composition(converse(composition(A,B)),C)) <->
% composition(converse(composition(converse(A),C)),B)
% Current number of equations to process: 198
% Current number of ordered equations: 1
% Current number of rules: 108
% New rule produced :
% [118]
% composition(converse(composition(converse(A),C)),B) <->
% converse(composition(converse(composition(A,B)),C))
% Current number of equations to process: 198
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [119]
% converse(composition(converse(composition(converse(A),B)),C)) <->
% composition(converse(composition(A,C)),B)
% Current number of equations to process: 197
% Current number of ordered equations: 1
% Current number of rules: 110
% New rule produced :
% [120]
% composition(converse(composition(A,C)),B) <->
% converse(composition(converse(composition(converse(A),B)),C))
% Current number of equations to process: 197
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [121]
% converse(composition(converse(A),composition(B,C))) <->
% composition(converse(C),composition(converse(B),A))
% Current number of equations to process: 218
% Current number of ordered equations: 1
% Current number of rules: 112
% New rule produced :
% [122]
% composition(converse(C),composition(converse(B),A)) <->
% converse(composition(converse(A),composition(B,C)))
% Current number of equations to process: 218
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [123]
% converse(composition(converse(A),composition(converse(B),C))) <->
% composition(converse(C),composition(B,A))
% Current number of equations to process: 219
% Current number of ordered equations: 1
% Current number of rules: 114
% New rule produced :
% [124]
% composition(converse(C),composition(B,A)) <->
% converse(composition(converse(A),composition(converse(B),C)))
% Current number of equations to process: 219
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [125] zero join complement(composition(converse(sk1),complement(sk1))) -> top
% Current number of equations to process: 744
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [126]
% composition(A,complement(converse(A))) join complement(one) ->
% complement(one)
% Current number of equations to process: 758
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [127]
% converse(composition(converse(zero),top)) join complement(one) ->
% complement(one)
% Current number of equations to process: 757
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [128]
% complement(one) join complement(composition(converse(A),complement(A))) ->
% top
% Current number of equations to process: 759
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [129]
% converse(zero) join converse(composition(converse(sk1),complement(sk1))) ->
% converse(zero)
% Current number of equations to process: 758
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced : [130] zero join one -> one
% Current number of equations to process: 760
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [131]
% zero join composition(A,complement(composition(converse(A),top))) -> zero
% Current number of equations to process: 780
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [132]
% zero join complement(composition(converse(A),complement(composition(A,top))))
% -> top
% Current number of equations to process: 779
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [133] composition(top,A) join composition(B,A) -> composition(top,A)
% Rule [72] composition(zero,A) join composition(top,A) -> composition(top,A)
% collapsed.
% Current number of equations to process: 790
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [134]
% zero join composition(complement(converse(sk1)),complement(sk1)) ->
% zero join composition(top,complement(sk1))
% Current number of equations to process: 789
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced : [135] complement(zero) -> top
% Current number of equations to process: 791
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [136] complement(complement(A join A) join A) -> zero join zero
% Current number of equations to process: 810
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [137] complement(zero join A) join complement(B) join A -> top
% Current number of equations to process: 809
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced : [138] A join A <-> zero join A
% Current number of equations to process: 814
% Current number of ordered equations: 1
% Current number of rules: 128
% New rule produced : [139] zero join A <-> A join A
% Current number of equations to process: 814
% Current number of ordered equations: 0
% Current number of rules: 129
% Rule [136] complement(complement(A join A) join A) -> zero join zero is composed into 
% [136] complement(complement(A join A) join A) -> zero
% New rule produced : [140] zero join zero -> zero
% Current number of equations to process: 824
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [141]
% composition(converse(sk1),complement(sk1)) join complement(A) ->
% complement(A)
% Current number of equations to process: 822
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [142]
% converse(zero) join converse(complement(A join A)) -> converse(complement(A))
% Current number of equations to process: 821
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [143]
% converse(composition(converse(A),complement(A))) join complement(one) ->
% complement(one)
% Current number of equations to process: 820
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [144]
% composition(converse(A),complement(composition(A,complement(B)))) join B -> B
% Current number of equations to process: 819
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [145]
% complement(B join B) join complement(A) <->
% complement(A join A) join complement(B)
% Current number of equations to process: 818
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [146] complement(complement(A join A) join A join B) -> zero
% Current number of equations to process: 817
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [147]
% complement(complement(A) join B) join complement(A join B) -> complement(B)
% Rule
% [14]
% complement(complement(A) join complement(B)) join complement(complement(A) join B)
% -> A collapsed.
% Rule
% [59] complement(zero join complement(A)) join complement(zero join A) -> top
% collapsed.
% Current number of equations to process: 830
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [148] composition(A,B join C) -> composition(A,B) join composition(A,C)
% Rule
% [53]
% converse(composition(C,A join B)) ->
% converse(composition(C,A)) join converse(composition(C,B)) collapsed.
% Rule
% [54]
% composition(converse(A),converse(B) join converse(C)) ->
% converse(composition(B,A)) join converse(composition(C,A)) collapsed.
% Current number of equations to process: 838
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [149]
% composition(A,complement(composition(converse(A),complement(B)))) join B -> B
% Current number of equations to process: 883
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [150] converse(top) join complement(converse(A) join converse(B)) -> top
% Current number of equations to process: 892
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [151]
% composition(converse(B),complement(composition(B,top))) join complement(A) ->
% complement(A)
% Current number of equations to process: 904
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced : [152] zero join converse(top) -> converse(top)
% Current number of equations to process: 909
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [153]
% composition(complement(composition(A,sk1)),top) join composition(A,sk1) ->
% composition(top,top)
% Current number of equations to process: 908
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [154]
% converse(composition(converse(A),complement(A))) join converse(complement(one))
% -> converse(complement(one))
% Current number of equations to process: 906
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [155]
% zero join composition(converse(composition(A,sk1)),complement(composition(A,sk1)))
% -> zero
% Current number of equations to process: 905
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [156]
% complement(composition(A,complement(composition(converse(A),B)))) join 
% complement(B) -> top
% Current number of equations to process: 902
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [157]
% complement(converse(complement(A join A)) join converse(A)) ->
% zero join complement(converse(top))
% Current number of equations to process: 900
% Current number of ordered equations: 0
% Current number of rules: 143
% Rule [157]
% complement(converse(complement(A join A)) join converse(A)) ->
% zero join complement(converse(top)) is composed into [157]
% complement(
% converse(complement(
% A join A)) join 
% converse(A)) ->
% zero join complement(top)
% Rule [61] converse(complement(converse(A))) join A -> converse(top) is composed into 
% [61] converse(complement(converse(A))) join A -> top
% Rule [56]
% converse(complement(A join B)) join converse(A) join converse(B) ->
% converse(top) is composed into [56]
% 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 : [158] converse(top) -> top
% Rule [60] converse(top) join complement(converse(A)) -> top collapsed.
% Rule [70] converse(top) join converse(A) -> converse(top) collapsed.
% Rule [91] converse(top) join complement(converse(A) join B) join B -> top
% collapsed.
% Rule [150] converse(top) join complement(converse(A) join converse(B)) -> top
% collapsed.
% Rule [152] zero join converse(top) -> converse(top) collapsed.
% Current number of equations to process: 901
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced : [159] complement(zero join A) join A join B -> top
% Rule [137] complement(zero join A) join complement(B) join A -> top
% collapsed.
% Current number of equations to process: 905
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [160] composition(converse(sk1),complement(sk1)) join A -> A
% Rule [43] zero join composition(converse(sk1),complement(sk1)) -> zero
% collapsed.
% Rule
% [141]
% composition(converse(sk1),complement(sk1)) join complement(A) ->
% complement(A) collapsed.
% Current number of equations to process: 912
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced : [161] zero join complement(zero join A) -> complement(A)
% Rule [57] zero join complement(zero join complement(A)) -> A collapsed.
% Current number of equations to process: 913
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced : [162] complement(zero join A) join A -> top
% Rule [159] complement(zero join A) join A join B -> top collapsed.
% Current number of equations to process: 913
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [163] composition(converse(B),complement(composition(B,top))) join A -> A
% Rule
% [45]
% zero join composition(converse(A),complement(composition(A,top))) -> zero
% collapsed.
% Rule
% [151]
% composition(converse(B),complement(composition(B,top))) join complement(A) ->
% complement(A) collapsed.
% Current number of equations to process: 934
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [164]
% converse(zero) join converse(complement(zero join complement(A))) ->
% converse(A)
% Current number of equations to process: 941
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced : [165] zero join A join A -> zero join A
% Current number of equations to process: 999
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [166]
% complement(zero join complement(A)) join complement(B) ->
% complement(B) join A
% Current number of equations to process: 997
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [167] converse(complement(converse(zero))) join complement(A) -> top
% Current number of equations to process: 1084
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [168]
% converse(complement(converse(composition(A,B)))) join composition(top,B) ->
% top
% Current number of equations to process: 1122
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [169]
% converse(complement(converse(complement(A join A)))) join complement(A) ->
% top
% Current number of equations to process: 1121
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced : [170] converse(one) -> one
% Rule [64] composition(converse(one),A) -> A collapsed.
% Rule
% [67]
% composition(A,converse(composition(B,converse(one)))) ->
% composition(A,converse(B)) collapsed.
% Rule
% [100]
% composition(composition(A,converse(one)),converse(B)) ->
% composition(A,converse(B)) collapsed.
% Current number of equations to process: 1124
% Current number of ordered equations: 0
% Current number of rules: 141
% Rule [69]
% composition(converse(B),A) <->
% converse(composition(converse(composition(one,A)),B)) is composed into 
% [69] composition(converse(B),A) <-> converse(composition(converse(A),B))
% Rule [65]
% converse(composition(converse(A),B)) <->
% composition(converse(composition(one,B)),A) is composed into [65]
% converse(
% composition(
% converse(A),B))
% <->
% composition(
% converse(B),A)
% New rule produced : [171] composition(one,A) -> A
% Rule [22] composition(A,composition(one,B)) -> composition(A,B) collapsed.
% Rule
% [66]
% composition(converse(composition(one,B)),A) <->
% converse(composition(converse(A),B)) collapsed.
% Rule
% [68]
% converse(composition(converse(composition(one,A)),B)) <->
% composition(converse(B),A) collapsed.
% Rule
% [74]
% composition(A,composition(composition(one,B),C)) ->
% composition(A,composition(B,C)) collapsed.
% Current number of equations to process: 1123
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [172] composition(complement(one),A) join A -> composition(top,A)
% Current number of equations to process: 1122
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced : [173] composition(top,top) join complement(sk1) -> top
% Current number of equations to process: 1171
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [174] converse(complement(converse(sk1))) join composition(top,top) -> top
% Current number of equations to process: 1187
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [175] composition(top,top) join complement(composition(A,sk1)) -> top
% Current number of equations to process: 1214
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [176]
% converse(sk1) join converse(composition(complement(sk1),top)) ->
% converse(composition(top,top))
% Current number of equations to process: 1233
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [177] composition(top,top) join complement(sk1 join A) join A -> top
% Current number of equations to process: 1294
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [178]
% converse(composition(top,A)) join converse(complement(composition(B,A))) ->
% top
% Current number of equations to process: 1292
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [179]
% composition(top,converse(A)) join complement(converse(composition(A,B))) ->
% top
% Current number of equations to process: 1291
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [180]
% composition(top,A) join complement(composition(B,composition(C,A))) -> top
% Current number of equations to process: 1290
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [181]
% converse(composition(A,top)) join complement(composition(B,converse(A))) ->
% top
% Current number of equations to process: 1288
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [182]
% composition(top,A) join complement(converse(composition(converse(A),B))) ->
% top
% Current number of equations to process: 1287
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [183]
% composition(top,composition(top,A)) join complement(composition(sk1,A)) ->
% top
% Current number of equations to process: 1286
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [184]
% composition(B,converse(composition(converse(C),A))) <->
% composition(converse(composition(A,converse(B))),C)
% Current number of equations to process: 1284
% Current number of ordered equations: 1
% Current number of rules: 151
% New rule produced :
% [185]
% composition(converse(composition(A,converse(B))),C) <->
% composition(B,converse(composition(converse(C),A)))
% Current number of equations to process: 1284
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [186]
% converse(composition(composition(A,converse(B)),C)) <->
% composition(composition(converse(C),B),converse(A))
% Current number of equations to process: 1502
% Current number of ordered equations: 1
% Current number of rules: 153
% New rule produced :
% [187]
% composition(composition(converse(C),B),converse(A)) <->
% converse(composition(composition(A,converse(B)),C))
% Current number of equations to process: 1502
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [188]
% converse(composition(composition(A,top),converse(sk1))) ->
% composition(sk1,converse(A))
% Current number of equations to process: 1519
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [189]
% converse(composition(A,composition(converse(B),C))) <->
% composition(converse(C),composition(B,converse(A)))
% Current number of equations to process: 1619
% Current number of ordered equations: 1
% Current number of rules: 156
% New rule produced :
% [190]
% composition(converse(C),composition(B,converse(A))) <->
% converse(composition(A,composition(converse(B),C)))
% Current number of equations to process: 1619
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [191]
% composition(composition(A,sk1),converse(composition(B,top))) ->
% composition(composition(A,sk1),converse(B))
% Current number of equations to process: 2337
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [192]
% converse(composition(converse(C),composition(B,converse(A)))) <->
% composition(A,composition(converse(B),C))
% Current number of equations to process: 2336
% Current number of ordered equations: 1
% Current number of rules: 159
% New rule produced :
% [193]
% composition(A,composition(converse(B),C)) <->
% converse(composition(converse(C),composition(B,converse(A))))
% Current number of equations to process: 2336
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [194]
% converse(composition(composition(converse(C),B),converse(A))) <->
% composition(composition(A,converse(B)),C)
% Current number of equations to process: 2335
% Current number of ordered equations: 1
% Current number of rules: 161
% New rule produced :
% [195]
% composition(composition(A,converse(B)),C) <->
% converse(composition(composition(converse(C),B),converse(A)))
% Current number of equations to process: 2335
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [196]
% converse(composition(top,composition(converse(sk1),A))) ->
% composition(converse(A),sk1)
% Current number of equations to process: 3691
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [197]
% composition(composition(A,top),converse(sk1)) ->
% converse(composition(sk1,converse(A)))
% Rule
% [188]
% converse(composition(composition(A,top),converse(sk1))) ->
% composition(sk1,converse(A)) collapsed.
% Current number of equations to process: 3781
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [198]
% composition(top,composition(converse(sk1),A)) ->
% converse(composition(converse(A),sk1))
% Rule
% [196]
% converse(composition(top,composition(converse(sk1),A))) ->
% composition(converse(A),sk1) collapsed.
% Current number of equations to process: 1247
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [199]
% complement(composition(converse(sk1),complement(sk1))) join complement(A) ->
% top
% Current number of equations to process: 1807
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [200]
% complement(one) join complement(composition(A,complement(converse(A)))) ->
% top
% Current number of equations to process: 1820
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [201]
% complement(one) join complement(converse(composition(converse(zero),top))) ->
% top
% Current number of equations to process: 1896
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [202]
% converse(complement(one)) join composition(converse(zero),top) ->
% converse(complement(one))
% Current number of equations to process: 1895
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [203] composition(top,zero) join complement(one) -> complement(one)
% Current number of equations to process: 1898
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [204]
% converse(complement(composition(converse(zero),top))) join complement(one) ->
% top
% Current number of equations to process: 1897
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [205] complement(one) join complement(composition(top,zero)) -> top
% Current number of equations to process: 1912
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [206]
% converse(zero) join converse(complement(composition(converse(sk1),complement(sk1))))
% -> top
% Current number of equations to process: 1919
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [207]
% complement(one) join complement(converse(composition(converse(A),complement(A))))
% -> top
% Current number of equations to process: 1918
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [208]
% converse(zero) join complement(converse(composition(converse(sk1),complement(sk1))))
% -> top
% Current number of equations to process: 1985
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced : [209] one join converse(zero) -> one
% Current number of equations to process: 1995
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced : [210] composition(zero,A) join A -> A
% Current number of equations to process: 1997
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced : [211] one join converse(complement(one)) -> top
% Current number of equations to process: 2000
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [212] one join converse(complement(converse(zero))) -> top
% Current number of equations to process: 2009
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [213] one join complement(A join A) -> one join complement(A)
% Current number of equations to process: 2009
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [214] one join complement(zero join complement(A)) -> one join A
% Current number of equations to process: 2008
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [215] one join complement(composition(converse(sk1),complement(sk1))) -> top
% Current number of equations to process: 2006
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [216]
% zero join composition(A,complement(converse(composition(top,A)))) -> zero
% Current number of equations to process: 2026
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [217]
% zero join complement(composition(A,complement(composition(converse(A),top))))
% -> top
% Current number of equations to process: 2026
% Current number of ordered equations: 0
% Current number of rules: 182
% Rule [157]
% complement(converse(complement(A join A)) join converse(A)) ->
% zero join complement(top) is composed into [157]
% complement(converse(complement(
% A join A)) join 
% converse(A)) ->
% complement(top)
% Rule [138] A join A <-> zero join A is composed into [138] A join A -> A
% New rule produced : [218] zero join A -> A
% Rule [24] zero join top -> top collapsed.
% Rule [52] zero join complement(A join A) -> complement(A) collapsed.
% Rule
% [125] zero join complement(composition(converse(sk1),complement(sk1))) -> top
% collapsed.
% Rule [130] zero join one -> one collapsed.
% Rule
% [131]
% zero join composition(A,complement(composition(converse(A),top))) -> zero
% collapsed.
% Rule
% [132]
% zero join complement(composition(converse(A),complement(composition(A,top))))
% -> top collapsed.
% Rule
% [134]
% zero join composition(complement(converse(sk1)),complement(sk1)) ->
% zero join composition(top,complement(sk1)) collapsed.
% Rule [139] zero join A <-> A join A collapsed.
% Rule [140] zero join zero -> zero collapsed.
% Rule
% [155]
% zero join composition(converse(composition(A,sk1)),complement(composition(A,sk1)))
% -> zero collapsed.
% Rule [161] zero join complement(zero join A) -> complement(A) collapsed.
% Rule [162] complement(zero join A) join A -> top collapsed.
% Rule
% [164]
% converse(zero) join converse(complement(zero join complement(A))) ->
% converse(A) collapsed.
% Rule [165] zero join A join A -> zero join A collapsed.
% Rule
% [166]
% complement(zero join complement(A)) join complement(B) ->
% complement(B) join A collapsed.
% Rule [214] one join complement(zero join complement(A)) -> one join A
% collapsed.
% Rule
% [216]
% zero join composition(A,complement(converse(composition(top,A)))) -> zero
% collapsed.
% Rule
% [217]
% zero join complement(composition(A,complement(composition(converse(A),top))))
% -> top collapsed.
% Current number of equations to process: 2041
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [219] complement(composition(converse(sk1),complement(sk1))) -> top
% Rule
% [199]
% complement(composition(converse(sk1),complement(sk1))) join complement(A) ->
% top collapsed.
% Rule
% [206]
% converse(zero) join converse(complement(composition(converse(sk1),complement(sk1))))
% -> top collapsed.
% Rule
% [215] one join complement(composition(converse(sk1),complement(sk1))) -> top
% collapsed.
% Current number of equations to process: 2042
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [220] composition(A,complement(composition(converse(A),top))) -> zero
% Current number of equations to process: 2040
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [221] composition(A,complement(converse(composition(top,A)))) -> zero
% Current number of equations to process: 2039
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [222]
% composition(complement(converse(sk1)),complement(sk1)) ->
% composition(top,complement(sk1))
% Current number of equations to process: 2038
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced : [223] converse(zero) join converse(A) -> converse(A)
% Rule
% [129]
% converse(zero) join converse(composition(converse(sk1),complement(sk1))) ->
% converse(zero) collapsed.
% Rule
% [142]
% converse(zero) join converse(complement(A join A)) -> converse(complement(A))
% collapsed.
% Current number of equations to process: 2038
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [224] converse(composition(converse(sk1),complement(sk1))) -> converse(zero)
% Rule
% [208]
% converse(zero) join complement(converse(composition(converse(sk1),complement(sk1))))
% -> top collapsed.
% Current number of equations to process: 2037
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [225]
% complement(composition(converse(A),complement(composition(A,top)))) -> top
% Current number of equations to process: 2036
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [226] sk1 join composition(top,top) -> composition(top,top)
% Current number of equations to process: 2038
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [227]
% composition(converse(composition(A,sk1)),complement(composition(A,sk1))) ->
% zero
% Current number of equations to process: 2051
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [228] composition(top,top) join composition(A,sk1) -> composition(top,top)
% Current number of equations to process: 2059
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [229] composition(converse(zero),top) join complement(one) -> complement(one)
% Current number of equations to process: 2137
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [230] complement(one) join complement(composition(converse(zero),top)) -> top
% Current number of equations to process: 2136
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [231] converse(composition(top,zero)) join complement(one) -> complement(one)
% Current number of equations to process: 2157
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [232]
% converse(composition(A,complement(converse(A)))) join complement(one) ->
% complement(one)
% Current number of equations to process: 2159
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [233]
% composition(top,A) join composition(B,composition(C,A)) -> composition(top,A)
% Current number of equations to process: 2164
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [234]
% converse(composition(converse(A),B)) join composition(top,A) ->
% composition(top,A)
% Current number of equations to process: 2163
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [235]
% converse(complement(one)) join composition(converse(A),complement(A)) ->
% converse(complement(one))
% Current number of equations to process: 2161
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [236]
% converse(complement(composition(converse(A),complement(A)))) join complement(one)
% -> top
% Current number of equations to process: 2160
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [237]
% converse(composition(top,A)) join converse(composition(B,A)) ->
% converse(composition(top,A))
% Current number of equations to process: 2273
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [238]
% converse(composition(A,B)) join composition(top,converse(A)) ->
% composition(top,converse(A))
% Current number of equations to process: 2272
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [239]
% converse(composition(A,top)) join composition(B,converse(A)) <->
% composition(top,converse(A))
% Current number of equations to process: 2271
% Current number of ordered equations: 1
% Current number of rules: 180
% Rule [239]
% converse(composition(A,top)) join composition(B,converse(A)) <->
% composition(top,converse(A)) is composed into [239]
% converse(composition(A,top)) join 
% composition(B,converse(A))
% <->
% converse(composition(A,top)) join 
% composition(sk1,converse(A))
% New rule produced :
% [240]
% composition(top,converse(A)) <->
% converse(composition(A,top)) join composition(B,converse(A))
% Rule
% [179]
% composition(top,converse(A)) join complement(converse(composition(A,B))) ->
% top collapsed.
% Rule
% [238]
% converse(composition(A,B)) join composition(top,converse(A)) ->
% composition(top,converse(A)) collapsed.
% Current number of equations to process: 2273
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [241] composition(converse(A),complement(composition(A,top))) -> zero
% Rule
% [163] composition(converse(B),complement(composition(B,top))) join A -> A
% collapsed.
% Rule
% [225]
% complement(composition(converse(A),complement(composition(A,top)))) -> top
% collapsed.
% Current number of equations to process: 2372
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [242] complement(complement(A join B) join complement(B)) -> B
% Current number of equations to process: 2426
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [243] complement(complement(complement(A) join B) join A) -> complement(A)
% Current number of equations to process: 2425
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [244]
% complement(converse(A) join complement(converse(complement(A)))) ->
% complement(converse(A))
% Current number of equations to process: 2462
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [245]
% complement(converse(complement(A)) join complement(converse(A))) ->
% complement(converse(complement(A)))
% Current number of equations to process: 2461
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [246]
% complement(complement(complement(A join B) join B) join A) -> complement(A)
% Current number of equations to process: 2500
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced : [247] 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 [136] complement(complement(A join A) join A) -> zero collapsed.
% Rule [146] complement(complement(A join A) join A join B) -> zero collapsed.
% Rule [177] composition(top,top) join complement(sk1 join A) join A -> top
% collapsed.
% Rule
% [246]
% complement(complement(complement(A join B) join B) join A) -> complement(A)
% collapsed.
% Current number of equations to process: 2611
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [248]
% complement(complement(converse(complement(converse(A)))) join A) ->
% complement(A)
% Current number of equations to process: 2631
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [249]
% complement(converse(complement(converse(A))) join complement(A)) ->
% complement(converse(complement(converse(A))))
% Current number of equations to process: 2657
% Current number of ordered equations: 1
% Current number of rules: 181
% New rule produced :
% [250]
% converse(complement(converse(complement(A join B)))) join complement(B) ->
% top
% Rule
% [169]
% converse(complement(converse(complement(A join A)))) join complement(A) ->
% top collapsed.
% Current number of equations to process: 2657
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [251] complement(A join B) join complement(A) -> complement(A)
% Rule [242] complement(complement(A join B) join complement(B)) -> B
% collapsed.
% Current number of equations to process: 2708
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [252]
% composition(A,top) join composition(A,complement(B)) -> composition(A,top)
% Current number of equations to process: 2791
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [253]
% composition(A,complement(B)) join composition(A,B) -> composition(A,top)
% Current number of equations to process: 2790
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [254] composition(A,top) join composition(A,B) -> composition(A,top)
% Rule
% [252]
% composition(A,top) join composition(A,complement(B)) -> composition(A,top)
% collapsed.
% Current number of equations to process: 2831
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [255]
% complement(converse(complement(converse(complement(A)))) join A) ->
% complement(converse(complement(converse(complement(A)))))
% Current number of equations to process: 2972
% Current number of ordered equations: 1
% Current number of rules: 184
% New rule produced :
% [256]
% complement(complement(converse(complement(converse(A))) join B) join A) ->
% complement(A)
% Current number of equations to process: 2972
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [257]
% one join complement(composition(A,complement(converse(A)))) ->
% complement(composition(A,complement(converse(A))))
% Current number of equations to process: 2971
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [258]
% one join complement(converse(composition(converse(zero),top))) ->
% complement(converse(composition(converse(zero),top)))
% Current number of equations to process: 2970
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [259]
% complement(composition(top,A)) join complement(composition(B,A)) ->
% complement(composition(B,A))
% Current number of equations to process: 2969
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [260] converse(complement(converse(A) join converse(B))) join A join B -> top
% Current number of equations to process: 3151
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [261]
% composition(converse(complement(converse(B))),A) join composition(B,A) ->
% composition(top,A)
% Current number of equations to process: 3150
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [262]
% converse(complement(composition(A,converse(B)))) join composition(B,converse(A))
% -> top
% Current number of equations to process: 3149
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [263]
% converse(complement(composition(converse(A),B))) join composition(converse(B),A)
% -> top
% Current number of equations to process: 3148
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [264]
% converse(complement(converse(composition(converse(A),complement(A))))) join 
% complement(one) -> top
% Current number of equations to process: 3147
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [265]
% converse(composition(A,top)) join composition(sk1,converse(A)) join complement(
% converse(
% composition(A,
% converse(B))))
% -> top
% Current number of equations to process: 3144
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [266]
% composition(composition(B,top),converse(composition(A,sk1))) ->
% converse(composition(composition(A,sk1),converse(B)))
% Current number of equations to process: 3143
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [267]
% converse(composition(A,complement(converse(A)))) join converse(complement(one))
% -> converse(complement(one))
% Current number of equations to process: 3140
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [268]
% converse(complement(converse(composition(A,complement(converse(A)))))) join 
% complement(one) -> top
% Current number of equations to process: 3139
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [269]
% converse(complement(one)) join converse(complement(composition(converse(A),
% complement(A)))) -> top
% Current number of equations to process: 3136
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [270]
% composition(sk1,A) join composition(top,composition(top,A)) ->
% composition(top,composition(top,A))
% Current number of equations to process: 3132
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [271]
% complement(composition(converse(A),complement(composition(A,complement(B))))) join B
% -> top
% Current number of equations to process: 3129
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [272]
% complement(converse(A) join complement(converse(complement(A)) join B)) ->
% complement(converse(A))
% Current number of equations to process: 3127
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [273]
% complement(one join complement(composition(converse(A),complement(A)))) ->
% composition(converse(A),complement(A))
% Current number of equations to process: 3123
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [274]
% composition(A,converse(complement(B))) join composition(A,converse(B)) ->
% composition(A,top)
% Current number of equations to process: 3122
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [275]
% composition(A,converse(complement(converse(B)))) join composition(A,B) ->
% composition(A,top)
% Current number of equations to process: 3121
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [276]
% complement(composition(A,complement(composition(converse(A),complement(B))))) join B
% -> top
% Current number of equations to process: 3120
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [277]
% composition(A,complement(converse(composition(converse(complement(B)),A)))) join B
% -> B
% Current number of equations to process: 3119
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [278]
% composition(top,sk1) join composition(complement(composition(A,sk1)),top) ->
% composition(top,top)
% Current number of equations to process: 3118
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [279]
% converse(complement(converse(composition(A,sk1)))) join composition(top,top)
% -> top
% Current number of equations to process: 3123
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [280]
% converse(composition(top,zero)) join converse(complement(one)) ->
% converse(complement(one))
% Current number of equations to process: 3171
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [281]
% converse(complement(one)) join complement(converse(composition(converse(A),
% complement(A)))) -> top
% Current number of equations to process: 3177
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [282]
% converse(composition(converse(zero),top)) join converse(complement(one)) ->
% converse(complement(one))
% Current number of equations to process: 3223
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [283]
% complement(composition(converse(A),complement(composition(A,B)))) join 
% complement(B) -> top
% Current number of equations to process: 3281
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [284] composition(converse(A),top) -> converse(composition(top,A))
% Rule
% [127]
% converse(composition(converse(zero),top)) join complement(one) ->
% complement(one) collapsed.
% Rule
% [201]
% complement(one) join complement(converse(composition(converse(zero),top))) ->
% top collapsed.
% Rule
% [202]
% converse(complement(one)) join composition(converse(zero),top) ->
% converse(complement(one)) collapsed.
% Rule
% [204]
% converse(complement(composition(converse(zero),top))) join complement(one) ->
% top collapsed.
% Rule [220] composition(A,complement(composition(converse(A),top))) -> zero
% collapsed.
% Rule
% [229] composition(converse(zero),top) join complement(one) -> complement(one)
% collapsed.
% Rule
% [230] complement(one) join complement(composition(converse(zero),top)) -> top
% collapsed.
% Rule
% [258]
% one join complement(converse(composition(converse(zero),top))) ->
% complement(converse(composition(converse(zero),top))) collapsed.
% Rule
% [282]
% converse(composition(converse(zero),top)) join converse(complement(one)) ->
% converse(complement(one)) collapsed.
% Current number of equations to process: 3400
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [285] complement(one) join complement(converse(composition(top,zero))) -> top
% Current number of equations to process: 3439
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [286]
% composition(A,converse(composition(B,top))) <->
% composition(composition(A,top),converse(B))
% Current number of equations to process: 3437
% Current number of ordered equations: 2
% Current number of rules: 206
% New rule produced :
% [287]
% composition(composition(A,converse(B)),top) ->
% composition(A,converse(composition(top,B)))
% Current number of equations to process: 3437
% Current number of ordered equations: 1
% Current number of rules: 207
% New rule produced :
% [288]
% composition(composition(A,top),converse(B)) <->
% composition(A,converse(composition(B,top)))
% Current number of equations to process: 3437
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [289]
% composition(converse(A),composition(top,B)) <->
% composition(converse(composition(top,A)),B)
% Current number of equations to process: 3435
% Current number of ordered equations: 2
% Current number of rules: 209
% New rule produced :
% [290]
% composition(top,composition(converse(A),B)) ->
% composition(converse(composition(A,top)),B)
% Rule
% [198]
% composition(top,composition(converse(sk1),A)) ->
% converse(composition(converse(A),sk1)) collapsed.
% Current number of equations to process: 3435
% Current number of ordered equations: 1
% Current number of rules: 209
% New rule produced :
% [291]
% composition(converse(composition(top,A)),B) <->
% composition(converse(A),composition(top,B))
% Current number of equations to process: 3435
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [292]
% converse(complement(converse(composition(top,zero)))) join complement(one) ->
% top
% Current number of equations to process: 3431
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [293] composition(top,complement(composition(top,complement(A)))) join A -> A
% Current number of equations to process: 3430
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced : [294] converse(complement(converse(zero))) -> top
% Rule [167] converse(complement(converse(zero))) join complement(A) -> top
% collapsed.
% Rule [212] one join converse(complement(converse(zero))) -> top collapsed.
% Current number of equations to process: 3435
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [295] converse(complement(A)) join complement(converse(zero)) -> top
% Current number of equations to process: 3433
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [296]
% composition(top,complement(composition(top,A))) join complement(A) ->
% complement(A)
% Current number of equations to process: 3432
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [297]
% converse(composition(composition(B,top),converse(A))) <->
% composition(composition(A,top),converse(B))
% Current number of equations to process: 3424
% Current number of ordered equations: 1
% Current number of rules: 214
% New rule produced :
% [298]
% composition(composition(A,top),converse(B)) <->
% converse(composition(composition(B,top),converse(A)))
% Current number of equations to process: 3424
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [299]
% converse(composition(B,converse(composition(A,top)))) <->
% composition(A,converse(composition(B,top)))
% Current number of equations to process: 3422
% Current number of ordered equations: 1
% Current number of rules: 216
% New rule produced :
% [300]
% composition(A,converse(composition(B,top))) <->
% converse(composition(B,converse(composition(A,top))))
% Current number of equations to process: 3422
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [301]
% converse(composition(converse(composition(top,B)),A)) <->
% composition(converse(composition(top,A)),B)
% Current number of equations to process: 3420
% Current number of ordered equations: 1
% Current number of rules: 218
% New rule produced :
% [302]
% composition(converse(composition(top,A)),B) <->
% converse(composition(converse(composition(top,B)),A))
% Current number of equations to process: 3420
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [303]
% converse(composition(converse(B),composition(top,A))) <->
% composition(converse(A),composition(top,B))
% Current number of equations to process: 3417
% Current number of ordered equations: 1
% Current number of rules: 220
% New rule produced :
% [304]
% composition(converse(A),composition(top,B)) <->
% converse(composition(converse(B),composition(top,A)))
% Current number of equations to process: 3417
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced :
% [305]
% converse(complement(one)) join composition(top,zero) ->
% converse(complement(one))
% Current number of equations to process: 3415
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced :
% [306]
% converse(composition(sk1,converse(A))) join composition(A,top) ->
% composition(A,top)
% Current number of equations to process: 3414
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced :
% [307]
% complement(composition(top,complement(composition(top,A)))) join complement(A)
% -> top
% Current number of equations to process: 3413
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [308]
% one join complement(composition(top,zero)) ->
% complement(composition(top,zero))
% Current number of equations to process: 3411
% Current number of ordered equations: 0
% Current number of rules: 225
% Rule [239]
% converse(composition(A,top)) join composition(B,converse(A)) <->
% converse(composition(A,top)) join composition(sk1,converse(A)) is composed into 
% [239]
% converse(composition(A,top)) join composition(B,converse(A)) ->
% converse(composition(A,top))
% New rule produced :
% [309]
% converse(composition(A,top)) join composition(sk1,converse(A)) ->
% converse(composition(A,top))
% Rule
% [265]
% converse(composition(A,top)) join composition(sk1,converse(A)) join complement(
% converse(
% composition(A,
% converse(B))))
% -> top collapsed.
% Current number of equations to process: 3411
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced :
% [310]
% converse(composition(top,A)) join complement(converse(composition(B,A))) ->
% top
% Current number of equations to process: 3457
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced :
% [311]
% converse(composition(A,top)) join converse(complement(composition(A,B))) ->
% top
% Current number of equations to process: 3456
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced :
% [312]
% converse(complement(composition(converse(A),B))) join composition(top,A) ->
% top
% Current number of equations to process: 3455
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced :
% [313] converse(complement(one)) join complement(one) -> complement(one)
% Current number of equations to process: 3521
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced : [314] composition(top,A) join complement(A) -> top
% Current number of equations to process: 3522
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced : [315] composition(top,A) join A -> composition(top,A)
% Current number of equations to process: 3523
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [316] converse(complement(converse(A))) join composition(top,A) -> top
% Current number of equations to process: 3523
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced :
% [317]
% composition(top,sk1) join composition(complement(sk1),top) ->
% composition(top,top)
% Current number of equations to process: 3524
% Current number of ordered equations: 1
% Current number of rules: 233
% New rule produced :
% [318]
% sk1 join composition(top,composition(complement(sk1),top)) ->
% composition(top,top)
% Current number of equations to process: 3524
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced : [319] composition(top,top) join complement(A) -> top
% Rule [173] composition(top,top) join complement(sk1) -> top collapsed.
% Rule [175] composition(top,top) join complement(composition(A,sk1)) -> top
% collapsed.
% Current number of equations to process: 3528
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced : [320] composition(top,complement(A)) join A -> top
% Current number of equations to process: 3532
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced :
% [321] converse(composition(A,top)) join converse(complement(A)) -> top
% Current number of equations to process: 3550
% Current number of ordered equations: 0
% Current number of rules: 235
% Rule [318]
% sk1 join composition(top,composition(complement(sk1),top)) ->
% composition(top,top) is composed into [318]
% sk1 join composition(top,composition(
% complement(sk1),top))
% -> top
% Rule [317]
% composition(top,sk1) join composition(complement(sk1),top) ->
% composition(top,top) is composed into [317]
% composition(top,sk1) join 
% composition(complement(sk1),top)
% -> top
% Rule [278]
% composition(top,sk1) join composition(complement(composition(A,sk1)),top)
% -> composition(top,top) is composed into [278]
% composition(top,sk1) join 
% composition(complement(
% composition(A,sk1)),top)
% -> top
% Rule [176]
% converse(sk1) join converse(composition(complement(sk1),top)) ->
% converse(composition(top,top)) is composed into [176]
% converse(sk1) join 
% converse(composition(
% complement(sk1),top))
% -> converse(top)
% Rule [153]
% composition(complement(composition(A,sk1)),top) join composition(A,sk1)
% -> composition(top,top) is composed into [153]
% composition(complement(
% composition(A,sk1)),top) join 
% composition(A,sk1) -> top
% Rule [71] sk1 join composition(complement(sk1),top) -> composition(top,top) is composed into 
% [71] sk1 join composition(complement(sk1),top) -> top
% New rule produced : [322] composition(top,top) -> top
% Rule
% [174] converse(complement(converse(sk1))) join composition(top,top) -> top
% collapsed.
% Rule [226] sk1 join composition(top,top) -> composition(top,top) collapsed.
% Rule
% [228] composition(top,top) join composition(A,sk1) -> composition(top,top)
% collapsed.
% Rule
% [279]
% converse(complement(converse(composition(A,sk1)))) join composition(top,top)
% -> top collapsed.
% Rule [319] composition(top,top) join complement(A) -> top collapsed.
% Current number of equations to process: 3558
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [323]
% composition(top,composition(complement(one),A)) join A -> composition(top,A)
% Current number of equations to process: 3640
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced :
% [324]
% converse(composition(complement(one),A)) join converse(A) ->
% converse(composition(top,A))
% Current number of equations to process: 3639
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced :
% [325] one join converse(complement(one join A)) join converse(A) -> top
% Current number of equations to process: 3638
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced :
% [326]
% composition(top,complement(composition(A,B))) join composition(top,B) -> top
% Current number of equations to process: 3635
% Current number of ordered equations: 1
% Current number of rules: 235
% New rule produced :
% [327]
% composition(top,composition(top,A)) join complement(composition(B,A)) -> top
% Rule
% [183]
% composition(top,composition(top,A)) join complement(composition(sk1,A)) ->
% top collapsed.
% Current number of equations to process: 3635
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced :
% [328]
% converse(composition(A,converse(complement(one)))) join converse(A) ->
% converse(composition(A,top))
% Current number of equations to process: 3661
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [329]
% converse(complement(converse(composition(A,B)))) join composition(A,top) ->
% top
% Current number of equations to process: 3703
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced :
% [330]
% converse(complement(composition(A,converse(B)))) join composition(B,top) ->
% top
% Current number of equations to process: 3702
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced :
% [331] converse(composition(top,A)) join converse(complement(A)) -> top
% Current number of equations to process: 3762
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced :
% [332]
% converse(composition(A,top)) join complement(converse(composition(A,B))) ->
% top
% Current number of equations to process: 3928
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [333] converse(sk1) join complement(composition(A,converse(sk1))) -> top
% Current number of equations to process: 3931
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced :
% [334] converse(composition(A,top)) join complement(converse(A)) -> top
% Current number of equations to process: 4000
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced :
% [335] converse(sk1) join composition(sk1,converse(sk1)) -> converse(sk1)
% Current number of equations to process: 2940
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced :
% [336]
% sk1 join converse(complement(converse(composition(sk1,converse(A))))) -> top
% Current number of equations to process: 2943
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [337] complement(one) join complement(composition(A,zero)) -> top
% Rule [205] complement(one) join complement(composition(top,zero)) -> top
% collapsed.
% Current number of equations to process: 3030
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [338] composition(A,zero) join complement(one) -> complement(one)
% Rule [203] composition(top,zero) join complement(one) -> complement(one)
% collapsed.
% Current number of equations to process: 3034
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [339]
% complement(one) join complement(converse(composition(A,complement(converse(A)))))
% -> top
% Current number of equations to process: 3049
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [340] complement(one) join complement(converse(complement(one))) -> top
% Current number of equations to process: 3107
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced : [341] one join complement(converse(zero)) -> top
% Current number of equations to process: 3121
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced : [342] composition(converse(zero),A) join A -> A
% Current number of equations to process: 3122
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced : [343] composition(A,converse(zero)) join A -> A
% Current number of equations to process: 3140
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced :
% [344]
% complement(one) join complement(converse(zero)) -> complement(converse(zero))
% Current number of equations to process: 3143
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [345] converse(complement(converse(composition(zero,A)))) join A -> top
% Current number of equations to process: 3146
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced : [346] complement(composition(zero,A)) join A -> top
% Current number of equations to process: 3147
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [347] converse(composition(zero,A)) join converse(A) -> converse(A)
% Current number of equations to process: 3157
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced : [348] one join composition(zero,converse(zero)) -> one
% Current number of equations to process: 3201
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced : [349] composition(zero,composition(zero,A)) join A -> A
% Current number of equations to process: 3200
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [350] sk1 join composition(complement(composition(zero,sk1)),top) -> top
% Current number of equations to process: 3198
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced : [351] complement(converse(complement(one))) -> one
% Rule [340] complement(one) join complement(converse(complement(one))) -> top
% collapsed.
% Current number of equations to process: 3216
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [352] composition(converse(complement(one)),A) join A -> composition(top,A)
% Current number of equations to process: 3218
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced :
% [353]
% complement(converse(complement(one)) join A) ->
% complement(complement(one) join A)
% Current number of equations to process: 3217
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced :
% [354] composition(A,converse(complement(one))) join A -> composition(A,top)
% Current number of equations to process: 3216
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [355] converse(composition(A,converse(zero))) join converse(A) -> converse(A)
% Current number of equations to process: 3215
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced :
% [356]
% complement(composition(zero,A)) join complement(A) ->
% complement(composition(zero,A))
% Current number of equations to process: 3214
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced :
% [357]
% complement(one join A) join complement(converse(zero)) ->
% complement(converse(zero))
% Current number of equations to process: 3213
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced :
% [358]
% complement(composition(zero,complement(A))) join A ->
% complement(composition(zero,complement(A)))
% Current number of equations to process: 3212
% Current number of ordered equations: 0
% Current number of rules: 263
% New rule produced : [359] composition(converse(sk1),complement(sk1)) -> zero
% Rule [160] composition(converse(sk1),complement(sk1)) join A -> A collapsed.
% Rule [219] complement(composition(converse(sk1),complement(sk1))) -> top
% collapsed.
% Rule
% [224] converse(composition(converse(sk1),complement(sk1))) -> converse(zero)
% collapsed.
% Current number of equations to process: 3211
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced :
% [360] composition(complement(one),zero) -> composition(top,zero)
% Current number of equations to process: 3214
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced : [361] composition(zero,zero) -> zero
% Current number of equations to process: 3215
% Current number of ordered equations: 0
% Current number of rules: 263
% New rule produced :
% [362] composition(zero,B) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 3213
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced :
% [363] composition(A,zero) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 3212
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced :
% [364]
% converse(composition(converse(B),A)) <->
% converse(zero) join composition(converse(A),B)
% Current number of equations to process: 3269
% Current number of ordered equations: 1
% Current number of rules: 266
% New rule produced :
% [365]
% converse(zero) join composition(converse(A),B) <->
% converse(composition(converse(B),A))
% Current number of equations to process: 3269
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced : [366] converse(A) join complement(converse(zero)) -> top
% Rule [295] converse(complement(A)) join complement(converse(zero)) -> top
% collapsed.
% Current number of equations to process: 3270
% Current number of ordered equations: 0
% Current number of rules: 267
% Rule [364]
% converse(composition(converse(B),A)) <->
% converse(zero) join composition(converse(A),B) is composed into 
% [364] converse(composition(converse(B),A)) <-> composition(converse(A),B)
% New rule produced : [367] converse(zero) join A -> A
% Rule [209] one join converse(zero) -> one collapsed.
% Rule [223] converse(zero) join converse(A) -> converse(A) collapsed.
% Rule
% [365]
% converse(zero) join composition(converse(A),B) <->
% converse(composition(converse(B),A)) collapsed.
% Current number of equations to process: 3270
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced : [368] complement(converse(zero)) -> top
% Rule [294] converse(complement(converse(zero))) -> top collapsed.
% Rule [341] one join complement(converse(zero)) -> top collapsed.
% Rule
% [344]
% complement(one) join complement(converse(zero)) -> complement(converse(zero))
% collapsed.
% Rule
% [357]
% complement(one join A) join complement(converse(zero)) ->
% complement(converse(zero)) collapsed.
% Rule [366] converse(A) join complement(converse(zero)) -> top collapsed.
% Current number of equations to process: 3270
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced :
% [369]
% composition(zero,complement(A join B)) join complement(B) -> complement(B)
% Current number of equations to process: 3268
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced :
% [370]
% composition(composition(zero,A),B) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 3271
% Current number of ordered equations: 0
% Current number of rules: 263
% New rule produced :
% [371]
% composition(A,composition(zero,B)) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 3270
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced :
% [372]
% composition(composition(A,B),complement(converse(composition(top,B)))) ->
% composition(A,zero)
% Current number of equations to process: 3267
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced :
% [373]
% composition(B,composition(complement(converse(composition(top,B))),A)) ->
% composition(zero,A)
% Current number of equations to process: 3266
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced :
% [374]
% composition(composition(converse(sk1),A),complement(composition(converse(A),sk1)))
% -> zero
% Current number of equations to process: 3265
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [375] converse(complement(composition(top,zero))) join complement(one) -> top
% Current number of equations to process: 3306
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced :
% [376]
% one join complement(converse(composition(top,zero))) ->
% complement(converse(composition(top,zero)))
% Current number of equations to process: 3328
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [377] converse(complement(composition(A,zero))) join complement(one) -> top
% Rule
% [375] converse(complement(composition(top,zero))) join complement(one) -> top
% collapsed.
% Current number of equations to process: 3331
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [378]
% converse(complement(one)) join composition(A,complement(converse(A))) ->
% converse(complement(one))
% Current number of equations to process: 3417
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [379]
% converse(complement(composition(A,complement(converse(A))))) join complement(one)
% -> top
% Current number of equations to process: 3416
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced :
% [380]
% complement(A join B) join complement(composition(zero,A)) ->
% complement(composition(zero,A))
% Current number of equations to process: 3444
% Current number of ordered equations: 0
% Current number of rules: 272
% New rule produced :
% [381]
% composition(top,complement(converse(composition(top,complement(one))))) ->
% complement(converse(composition(top,complement(one))))
% Current number of equations to process: 3440
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [382]
% composition(composition(A,complement(converse(sk1))),complement(sk1)) ->
% composition(A,composition(top,complement(sk1)))
% Current number of equations to process: 3439
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced :
% [383]
% composition(complement(converse(sk1)),composition(complement(sk1),A)) <->
% composition(composition(top,complement(sk1)),A)
% Current number of equations to process: 3438
% Current number of ordered equations: 1
% Current number of rules: 275
% New rule produced :
% [384]
% composition(composition(top,complement(sk1)),A) <->
% composition(complement(converse(sk1)),composition(complement(sk1),A))
% Current number of equations to process: 3438
% Current number of ordered equations: 0
% Current number of rules: 276
% New rule produced :
% [385]
% converse(composition(top,zero)) join composition(top,complement(one)) ->
% composition(top,complement(one))
% Current number of equations to process: 3437
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced :
% [386] composition(top,composition(top,A)) -> composition(top,A)
% Rule
% [270]
% composition(sk1,A) join composition(top,composition(top,A)) ->
% composition(top,composition(top,A)) collapsed.
% Rule
% [327]
% composition(top,composition(top,A)) join complement(composition(B,A)) -> top
% collapsed.
% Current number of equations to process: 3582
% Current number of ordered equations: 0
% Current number of rules: 276
% New rule produced :
% [387]
% converse(sk1) join composition(A,converse(composition(sk1,converse(B)))) ->
% converse(sk1)
% Current number of equations to process: 3609
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced :
% [388]
% converse(composition(A,top)) join converse(composition(A,B)) ->
% converse(composition(A,top))
% Current number of equations to process: 3683
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced :
% [389]
% converse(composition(top,A)) join composition(converse(A),B) ->
% converse(composition(top,A))
% Current number of equations to process: 3682
% Current number of ordered equations: 0
% Current number of rules: 279
% New rule produced :
% [390]
% converse(complement(one)) join complement(composition(converse(A),complement(A)))
% -> top
% Current number of equations to process: 3685
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced : [391] converse(complement(one)) -> complement(one)
% Rule
% [154]
% converse(composition(converse(A),complement(A))) join converse(complement(one))
% -> converse(complement(one)) collapsed.
% Rule [211] one join converse(complement(one)) -> top collapsed.
% Rule
% [235]
% converse(complement(one)) join composition(converse(A),complement(A)) ->
% converse(complement(one)) collapsed.
% Rule
% [267]
% converse(composition(A,complement(converse(A)))) join converse(complement(one))
% -> converse(complement(one)) collapsed.
% Rule
% [269]
% converse(complement(one)) join converse(complement(composition(converse(A),
% complement(A)))) -> top
% collapsed.
% Rule
% [280]
% converse(composition(top,zero)) join converse(complement(one)) ->
% converse(complement(one)) collapsed.
% Rule
% [281]
% converse(complement(one)) join complement(converse(composition(converse(A),
% complement(A)))) -> top
% collapsed.
% Rule
% [305]
% converse(complement(one)) join composition(top,zero) ->
% converse(complement(one)) collapsed.
% Rule [313] converse(complement(one)) join complement(one) -> complement(one)
% collapsed.
% Rule
% [328]
% converse(composition(A,converse(complement(one)))) join converse(A) ->
% converse(composition(A,top)) collapsed.
% Rule [351] complement(converse(complement(one))) -> one collapsed.
% Rule
% [352] composition(converse(complement(one)),A) join A -> composition(top,A)
% collapsed.
% Rule
% [353]
% complement(converse(complement(one)) join A) ->
% complement(complement(one) join A) collapsed.
% Rule
% [354] composition(A,converse(complement(one))) join A -> composition(A,top)
% collapsed.
% Rule
% [378]
% converse(complement(one)) join composition(A,complement(converse(A))) ->
% converse(complement(one)) collapsed.
% Rule
% [390]
% converse(complement(one)) join complement(composition(converse(A),complement(A)))
% -> top collapsed.
% Current number of equations to process: 3760
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced :
% [392] composition(A,complement(one)) join A -> composition(A,top)
% Current number of equations to process: 3758
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced :
% [393]
% converse(composition(A,complement(one))) join converse(A) ->
% converse(composition(A,top))
% Current number of equations to process: 3757
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [394]
% one join complement(composition(converse(A),complement(A))) ->
% complement(composition(converse(A),complement(A)))
% Rule
% [273]
% complement(one join complement(composition(converse(A),complement(A)))) ->
% composition(converse(A),complement(A)) collapsed.
% Current number of equations to process: 3758
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [395]
% converse(composition(A,converse(B))) join composition(B,top) ->
% composition(B,top)
% Rule
% [306]
% converse(composition(sk1,converse(A))) join composition(A,top) ->
% composition(A,top) collapsed.
% Current number of equations to process: 3865
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [396]
% converse(composition(top,A)) join converse(A) -> converse(composition(top,A))
% Current number of equations to process: 3938
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced : [397] sk1 join composition(sk1,converse(A)) -> sk1
% Current number of equations to process: 3948
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [398] converse(composition(A,zero)) join complement(one) -> complement(one)
% Rule
% [231] converse(composition(top,zero)) join complement(one) -> complement(one)
% collapsed.
% Current number of equations to process: 3948
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [399] converse(sk1) join composition(A,converse(sk1)) -> converse(sk1)
% Rule [335] converse(sk1) join composition(sk1,converse(sk1)) -> converse(sk1)
% collapsed.
% Current number of equations to process: 3962
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [400]
% converse(composition(A,top)) join converse(A) -> converse(composition(A,top))
% Current number of equations to process: 4032
% Current number of ordered equations: 0
% Current number of rules: 270
% Rule [360] composition(complement(one),zero) -> composition(top,zero) is composed into 
% [360] composition(complement(one),zero) -> zero
% New rule produced : [401] composition(top,zero) -> zero
% Rule
% [285] complement(one) join complement(converse(composition(top,zero))) -> top
% collapsed.
% Rule
% [292]
% converse(complement(converse(composition(top,zero)))) join complement(one) ->
% top collapsed.
% Rule
% [308]
% one join complement(composition(top,zero)) ->
% complement(composition(top,zero)) collapsed.
% Rule
% [376]
% one join complement(converse(composition(top,zero))) ->
% complement(converse(composition(top,zero))) collapsed.
% Rule
% [385]
% converse(composition(top,zero)) join composition(top,complement(one)) ->
% composition(top,complement(one)) collapsed.
% Current number of equations to process: 4082
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced : [402] complement(complement(A) join B) join A -> A
% Rule
% [243] complement(complement(complement(A) join B) join A) -> complement(A)
% collapsed.
% Current number of equations to process: 4120
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced :
% [403]
% composition(composition(A,converse(B)),complement(composition(B,top))) ->
% composition(A,zero)
% Current number of equations to process: 4120
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [404]
% composition(converse(B),composition(complement(composition(B,top)),A)) ->
% composition(zero,A)
% Current number of equations to process: 4119
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced :
% [405] converse(A) join complement(converse(complement(A))) -> converse(A)
% Rule
% [244]
% complement(converse(A) join complement(converse(complement(A)))) ->
% complement(converse(A)) collapsed.
% Current number of equations to process: 4119
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced :
% [406]
% converse(complement(A)) join complement(converse(A)) ->
% converse(complement(A))
% Rule
% [245]
% complement(converse(complement(A)) join complement(converse(A))) ->
% complement(converse(complement(A))) collapsed.
% Current number of equations to process: 4120
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced :
% [407] sk1 join complement(composition(complement(sk1),top)) -> sk1
% Current number of equations to process: 4173
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [408]
% composition(complement(sk1),top) join complement(sk1) ->
% composition(complement(sk1),top)
% Current number of equations to process: 4172
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [409] sk1 join complement(composition(complement(sk1),top) join A) -> sk1
% Current number of equations to process: 4171
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced :
% [410] complement(converse(complement(converse(A)))) join A -> A
% Rule
% [248]
% complement(complement(converse(complement(converse(A)))) join A) ->
% complement(A) collapsed.
% Current number of equations to process: 4214
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced :
% [411]
% converse(complement(converse(A))) join complement(A) ->
% converse(complement(converse(A)))
% Rule
% [249]
% complement(converse(complement(converse(A))) join complement(A)) ->
% complement(converse(complement(converse(A)))) collapsed.
% Current number of equations to process: 4213
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced :
% [412] complement(converse(complement(converse(A))) join B) join A -> A
% Rule
% [256]
% complement(complement(converse(complement(converse(A))) join B) join A) ->
% complement(A) collapsed.
% Current number of equations to process: 4333
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced :
% [413]
% converse(A) join complement(converse(complement(A)) join B) -> converse(A)
% Rule
% [272]
% complement(converse(A) join complement(converse(complement(A)) join B)) ->
% complement(converse(A)) collapsed.
% Current number of equations to process: 4467
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced :
% [414]
% complement(composition(complement(one),A)) join A ->
% complement(composition(top,A)) join A
% Current number of equations to process: 4466
% Current number of ordered equations: 0
% Current number of rules: 272
% New rule produced :
% [415]
% converse(sk1) join complement(converse(composition(complement(sk1),top))) ->
% converse(sk1)
% Current number of equations to process: 4465
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [416] complement(composition(zero,A) join B) join A -> complement(B) join A
% Current number of equations to process: 4463
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced :
% [417]
% converse(complement(A)) join complement(converse(A) join B) ->
% converse(complement(A))
% Current number of equations to process: 4459
% Current number of ordered equations: 0
% Current number of rules: 275
% New rule produced :
% [418]
% converse(complement(converse(complement(complement(A) join B)))) join A ->
% top
% Current number of equations to process: 4490
% Current number of ordered equations: 0
% Current number of rules: 276
% New rule produced :
% [419]
% composition(converse(complement(composition(B,top))),composition(B,A)) ->
% composition(converse(zero),A)
% Current number of equations to process: 4508
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced :
% [420]
% composition(complement(converse(A)),complement(composition(A,top))) ->
% composition(top,complement(composition(A,top)))
% Current number of equations to process: 4507
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced :
% [421]
% composition(converse(composition(B,A)),complement(composition(B,top))) ->
% composition(converse(A),zero)
% Current number of equations to process: 4505
% Current number of ordered equations: 0
% Current number of rules: 279
% New rule produced :
% [422]
% composition(complement(sk1),top) join complement(sk1 join A) ->
% composition(complement(sk1),top)
% Current number of equations to process: 4504
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced :
% [423]
% converse(complement(converse(A))) join complement(A join B) ->
% converse(complement(converse(A)))
% Current number of equations to process: 4503
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced :
% [424]
% converse(complement(A join B)) join converse(B) ->
% converse(complement(A)) join converse(B)
% Rule
% [56] converse(complement(A join B)) join converse(A) join converse(B) -> top
% collapsed.
% Rule
% [157]
% complement(converse(complement(A join A)) join converse(A)) ->
% complement(top) collapsed.
% Rule [325] one join converse(complement(one join A)) join converse(A) -> top
% collapsed.
% Current number of equations to process: 4502
% Current number of ordered equations: 0
% Current number of rules: 279
% New rule produced :
% [425]
% converse(complement(A)) join complement(converse(complement(A join B))) ->
% top
% Current number of equations to process: 4508
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced :
% [426]
% converse(complement(converse(complement(composition(top,A))))) join complement(A)
% -> top
% Current number of equations to process: 4589
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced :
% [427]
% converse(complement(converse(complement(A)))) join complement(composition(zero,A))
% -> top
% Current number of equations to process: 4618
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced :
% [428] complement(composition(top,A)) join complement(A) -> complement(A)
% Current number of equations to process: 4784
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced :
% [429]
% composition(converse(A),composition(A,top)) -> converse(composition(top,A))
% Current number of equations to process: 4843
% Current number of ordered equations: 0
% Current number of rules: 284
% New rule produced :
% [430]
% complement(composition(top,A) join B) join complement(A) -> complement(A)
% Current number of equations to process: 4842
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced :
% [431] composition(A,top) join complement(composition(A,B)) -> top
% Current number of equations to process: 4891
% Current number of ordered equations: 0
% Current number of rules: 286
% New rule produced : [432] sk1 join composition(sk1,zero) -> sk1
% Current number of equations to process: 4901
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [433]
% composition(A,converse(A)) join complement(one) ->
% composition(A,top) join complement(one)
% Current number of equations to process: 978
% Current number of ordered equations: 0
% Current number of rules: 288
% New rule produced :
% [434] composition(zero,complement(A)) join A -> composition(zero,top) join A
% Current number of equations to process: 1030
% Current number of ordered equations: 0
% Current number of rules: 289
% New rule produced :
% [435]
% composition(zero,A) join complement(A) <->
% composition(zero,top) join complement(A)
% Current number of equations to process: 1031
% Current number of ordered equations: 1
% Current number of rules: 290
% New rule produced :
% [436]
% composition(zero,top) join complement(A) <->
% composition(zero,A) join complement(A)
% Current number of equations to process: 1031
% Current number of ordered equations: 0
% Current number of rules: 291
% New rule produced : [437] sk1 join composition(sk1,A) -> sk1
% Rule [397] sk1 join composition(sk1,converse(A)) -> sk1 collapsed.
% Rule [432] sk1 join composition(sk1,zero) -> sk1 collapsed.
% Current number of equations to process: 1106
% Current number of ordered equations: 0
% Current number of rules: 290
% New rule produced : [438] composition(A,top) join A -> composition(A,top)
% Rule
% [408]
% composition(complement(sk1),top) join complement(sk1) ->
% composition(complement(sk1),top) collapsed.
% Current number of equations to process: 1112
% Current number of ordered equations: 0
% Current number of rules: 290
% New rule produced :
% [439]
% composition(top,composition(complement(one),top)) ->
% composition(complement(one),top)
% Current number of equations to process: 1207
% Current number of ordered equations: 0
% Current number of rules: 291
% New rule produced :
% [440]
% converse(complement(A join B)) join converse(complement(A)) ->
% converse(complement(A))
% Current number of equations to process: 1236
% Current number of ordered equations: 0
% Current number of rules: 292
% New rule produced :
% [441]
% composition(sk1,complement(composition(top,A))) join composition(sk1,A) ->
% sk1
% Current number of equations to process: 1234
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced :
% [442]
% composition(converse(A),A) join complement(one) ->
% converse(composition(top,A)) join complement(one)
% Current number of equations to process: 1233
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced :
% [443]
% composition(complement(composition(A,sk1)),top) join composition(A,top) ->
% top
% Current number of equations to process: 1232
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced :
% [444]
% converse(composition(A,top)) join composition(top,complement(converse(A))) ->
% top
% Current number of equations to process: 1230
% Current number of ordered equations: 1
% Current number of rules: 296
% New rule produced :
% [445]
% composition(composition(A,sk1),B) join composition(A,sk1) ->
% composition(A,sk1)
% Current number of equations to process: 1229
% Current number of ordered equations: 1
% Current number of rules: 297
% New rule produced :
% [446]
% composition(composition(A,B),C) join composition(A,top) -> composition(A,top)
% Current number of equations to process: 1228
% Current number of ordered equations: 1
% Current number of rules: 298
% New rule produced :
% [447]
% composition(zero,composition(A,B)) join composition(A,top) ->
% composition(A,top)
% Current number of equations to process: 1226
% Current number of ordered equations: 0
% Current number of rules: 299
% New rule produced :
% [448]
% converse(complement(converse(complement(A)))) join A ->
% converse(complement(converse(complement(A))))
% Rule
% [255]
% complement(converse(complement(converse(complement(A)))) join A) ->
% complement(converse(complement(converse(complement(A))))) collapsed.
% Current number of equations to process: 1227
% Current number of ordered equations: 0
% Current number of rules: 299
% New rule produced :
% [449]
% composition(top,A) join complement(A join B) ->
% composition(top,A) join complement(B)
% Current number of equations to process: 1309
% Current number of ordered equations: 0
% Current number of rules: 300
% New rule produced :
% [450]
% composition(top,complement(A)) join complement(A join B) ->
% composition(top,complement(A))
% Current number of equations to process: 1307
% Current number of ordered equations: 0
% Current number of rules: 301
% New rule produced :
% [451]
% composition(converse(composition(A,sk1)),composition(A,sk1)) ->
% converse(composition(top,composition(A,sk1)))
% Current number of equations to process: 1305
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced :
% [452]
% complement(composition(A,top)) join complement(composition(A,B)) ->
% complement(composition(A,B))
% Current number of equations to process: 1304
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced :
% [453]
% composition(top,A) join composition(complement(one),top) ->
% composition(complement(one),top) join A
% Current number of equations to process: 1302
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced :
% [454] one join converse(complement(one join converse(A))) join A -> top
% Current number of equations to process: 1617
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced :
% [455]
% composition(converse(complement(A)),complement(composition(A,top))) ->
% composition(top,complement(composition(A,top)))
% Current number of equations to process: 1681
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced :
% [456]
% converse(complement(composition(A,converse(zero)))) join converse(A) -> top
% Current number of equations to process: 2190
% Current number of ordered equations: 0
% Current number of rules: 307
% New rule produced :
% [457]
% complement(composition(top,complement(composition(top,complement(A))))) join A
% -> top
% Current number of equations to process: 2887
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [458]
% converse(composition(complement(converse(complement(composition(A,top)))),A))
% -> converse(composition(top,A))
% Current number of equations to process: 3258
% Current number of ordered equations: 0
% Current number of rules: 309
% New rule produced :
% [459] sk1 join converse(composition(zero,converse(sk1))) -> sk1
% Current number of equations to process: 3307
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced :
% [460] composition(complement(composition(complement(A),top)),top) join A -> A
% Current number of equations to process: 3807
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced :
% [461]
% converse(composition(composition(A,top),top)) -> converse(composition(A,top))
% Current number of equations to process: 4510
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [462] composition(composition(A,top),top) -> composition(A,top)
% Rule
% [461]
% converse(composition(composition(A,top),top)) -> converse(composition(A,top))
% collapsed.
% Current number of equations to process: 4554
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [463] composition(B,complement(composition(top,complement(A)))) join A -> A
% Rule
% [293] composition(top,complement(composition(top,complement(A)))) join A -> A
% collapsed.
% Current number of equations to process: 1309
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [464]
% composition(B,complement(composition(top,A))) join complement(A) ->
% complement(A)
% Rule
% [296]
% composition(top,complement(composition(top,A))) join complement(A) ->
% complement(A) collapsed.
% Current number of equations to process: 1316
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [465]
% converse(composition(top,A)) join composition(complement(converse(A)),top) ->
% top
% Current number of equations to process: 1444
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [466]
% complement(composition(A,complement(composition(top,B)))) join complement(B)
% -> top
% Rule
% [307]
% complement(composition(top,complement(composition(top,A)))) join complement(A)
% -> top collapsed.
% Current number of equations to process: 2531
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [467] sk1 join complement(composition(sk1,converse(A))) -> top
% Current number of equations to process: 2601
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [468]
% converse(composition(top,A)) join complement(composition(converse(A),B)) ->
% top
% Current number of equations to process: 2607
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced :
% [469]
% composition(A,top) join complement(converse(composition(B,converse(A)))) ->
% top
% Current number of equations to process: 2639
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced :
% [470] converse(composition(top,A)) join complement(converse(A)) -> top
% Current number of equations to process: 2695
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced :
% [471] converse(sk1) join converse(complement(composition(sk1,A))) -> top
% Current number of equations to process: 2736
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced :
% [472] sk1 join composition(composition(top,complement(sk1)),top) -> top
% Current number of equations to process: 3206
% Current number of ordered equations: 0
% Current number of rules: 319
% New rule produced :
% [473]
% sk1 join complement(composition(top,composition(complement(sk1),top))) -> sk1
% Current number of equations to process: 3240
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [474] converse(composition(top,complement(A))) join converse(A) -> top
% Current number of equations to process: 3281
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced :
% [475] composition(top,complement(composition(zero,A))) join A -> top
% Current number of equations to process: 3350
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced :
% [476] complement(composition(top,complement(A))) join A -> A
% Current number of equations to process: 3381
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced :
% [477] complement(composition(top,complement(A)) join B) join A -> A
% Current number of equations to process: 3428
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [478] converse(composition(complement(A),top)) join converse(A) -> top
% Rule
% [176]
% converse(sk1) join converse(composition(complement(sk1),top)) ->
% converse(top) collapsed.
% Current number of equations to process: 3435
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced : [479] composition(A,top) join complement(A) -> top
% Current number of equations to process: 3437
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced :
% [480]
% composition(composition(A,top),composition(top,B)) ->
% composition(A,composition(top,B))
% Current number of equations to process: 3486
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [481]
% composition(composition(top,complement(one)),A) join A -> composition(top,A)
% Current number of equations to process: 3506
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced :
% [482]
% composition(composition(top,A),B) join complement(composition(A,B)) -> top
% Current number of equations to process: 3622
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [483]
% composition(top,A) join complement(complement(A) join B) ->
% composition(top,A)
% Current number of equations to process: 3621
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [484]
% composition(top,A) join complement(converse(complement(converse(A)))) ->
% composition(top,A)
% Current number of equations to process: 3620
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [485]
% converse(composition(top,sk1)) join converse(composition(complement(sk1),top))
% -> top
% Current number of equations to process: 3619
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced :
% [486]
% composition(top,sk1) join composition(top,composition(complement(sk1),top))
% -> top
% Current number of equations to process: 3618
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced :
% [487]
% composition(top,sk1) join complement(composition(complement(sk1),top)) ->
% composition(top,sk1)
% Current number of equations to process: 3617
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [488]
% converse(sk1) join converse(composition(top,composition(complement(sk1),top)))
% -> top
% Current number of equations to process: 3615
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced :
% [489]
% composition(top,complement(composition(A,B))) join composition(A,top) -> top
% Current number of equations to process: 3609
% Current number of ordered equations: 0
% Current number of rules: 335
% New rule produced :
% [490]
% converse(composition(complement(A),top)) join converse(composition(A,top)) ->
% top
% Current number of equations to process: 3608
% Current number of ordered equations: 0
% Current number of rules: 336
% New rule produced :
% [491]
% converse(complement(A)) join complement(converse(composition(A,top))) ->
% converse(complement(A))
% Current number of equations to process: 3606
% Current number of ordered equations: 0
% Current number of rules: 337
% New rule produced :
% [492] converse(composition(top,complement(converse(A)))) join A -> top
% Current number of equations to process: 3624
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced :
% [493]
% converse(composition(complement(one),converse(A))) join A ->
% composition(A,top)
% Current number of equations to process: 3627
% Current number of ordered equations: 0
% Current number of rules: 339
% New rule produced :
% [494]
% complement(converse(composition(top,A))) join complement(converse(A)) ->
% complement(converse(A))
% Current number of equations to process: 3739
% Current number of ordered equations: 0
% Current number of rules: 340
% New rule produced :
% [495]
% converse(composition(top,complement(converse(A)))) join composition(top,A) ->
% top
% Current number of equations to process: 3792
% Current number of ordered equations: 0
% Current number of rules: 341
% New rule produced :
% [496]
% converse(composition(top,A)) join composition(top,complement(converse(A))) ->
% top
% Current number of equations to process: 3791
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced :
% [497]
% converse(composition(top,complement(A))) join converse(composition(A,top)) ->
% top
% Current number of equations to process: 3789
% Current number of ordered equations: 1
% Current number of rules: 343
% New rule produced :
% [498]
% converse(composition(top,composition(A,top))) join converse(complement(A)) ->
% top
% Current number of equations to process: 3789
% Current number of ordered equations: 0
% Current number of rules: 344
% New rule produced :
% [499] sk1 join converse(complement(converse(composition(sk1,A)))) -> top
% Rule
% [336]
% sk1 join converse(complement(converse(composition(sk1,converse(A))))) -> top
% collapsed.
% Current number of equations to process: 3954
% Current number of ordered equations: 0
% Current number of rules: 344
% New rule produced :
% [500] converse(complement(converse(A))) join composition(A,top) -> top
% Current number of equations to process: 3955
% Current number of ordered equations: 0
% Current number of rules: 345
% New rule produced :
% [501] sk1 join converse(complement(composition(A,converse(sk1)))) -> top
% Current number of equations to process: 4102
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced :
% [502]
% converse(composition(top,A)) join converse(composition(complement(A),top)) ->
% top
% Rule
% [485]
% converse(composition(top,sk1)) join converse(composition(complement(sk1),top))
% -> top collapsed.
% Current number of equations to process: 4245
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced :
% [503]
% converse(complement(A)) join complement(converse(composition(top,A))) ->
% converse(complement(A))
% Current number of equations to process: 4244
% Current number of ordered equations: 0
% Current number of rules: 347
% New rule produced :
% [504]
% converse(composition(top,complement(A))) join converse(composition(top,A)) ->
% top
% Current number of equations to process: 4243
% Current number of ordered equations: 0
% Current number of rules: 348
% New rule produced :
% [505] converse(sk1) join complement(converse(composition(sk1,A))) -> top
% Current number of equations to process: 4258
% Current number of ordered equations: 0
% Current number of rules: 349
% New rule produced :
% [506]
% complement(one join complement(composition(A,zero))) -> composition(A,zero)
% Current number of equations to process: 4513
% Current number of ordered equations: 0
% Current number of rules: 350
% New rule produced :
% [507]
% one join complement(composition(A,zero)) -> complement(composition(A,zero))
% Rule
% [506]
% complement(one join complement(composition(A,zero))) -> composition(A,zero)
% collapsed.
% Current number of equations to process: 4521
% Current number of ordered equations: 0
% Current number of rules: 350
% New rule produced :
% [508]
% converse(composition(converse(zero),A)) join complement(one) ->
% complement(one)
% Current number of equations to process: 4570
% Current number of ordered equations: 0
% Current number of rules: 351
% New rule produced :
% [509]
% composition(A,composition(B,zero)) join complement(one) -> complement(one)
% Current number of equations to process: 4569
% Current number of ordered equations: 0
% Current number of rules: 352
% New rule produced :
% [510]
% composition(top,complement(composition(A,zero))) join complement(one) -> top
% Current number of equations to process: 4603
% Current number of ordered equations: 1
% Current number of rules: 353
% New rule produced :
% [511]
% composition(top,complement(one)) join complement(composition(A,zero)) -> top
% Current number of equations to process: 4603
% Current number of ordered equations: 0
% Current number of rules: 354
% New rule produced :
% [512]
% complement(one) join complement(converse(composition(converse(zero),A))) ->
% top
% Current number of equations to process: 4602
% Current number of ordered equations: 0
% Current number of rules: 355
% New rule produced :
% [513]
% complement(one) join complement(composition(A,composition(B,zero))) -> top
% Current number of equations to process: 4601
% Current number of ordered equations: 0
% Current number of rules: 356
% New rule produced :
% [514]
% converse(complement(converse(composition(A,zero)))) join complement(one) ->
% top
% Current number of equations to process: 4598
% Current number of ordered equations: 0
% Current number of rules: 357
% New rule produced :
% [515]
% converse(complement(composition(converse(zero),A))) join complement(one) ->
% top
% Current number of equations to process: 4597
% Current number of ordered equations: 0
% Current number of rules: 358
% New rule produced :
% [516]
% composition(top,complement(one)) join composition(A,zero) ->
% composition(complement(one),top)
% Current number of equations to process: 4595
% Current number of ordered equations: 0
% Current number of rules: 359
% New rule produced :
% [517] composition(top,complement(one)) <-> composition(complement(one),top)
% Current number of equations to process: 4593
% Current number of ordered equations: 1
% Current number of rules: 360
% New rule produced :
% [518] composition(complement(one),top) <-> composition(top,complement(one))
% Current number of equations to process: 4593
% Current number of ordered equations: 0
% Current number of rules: 361
% New rule produced :
% [519]
% converse(sk1) join composition(top,complement(composition(A,converse(sk1))))
% -> top
% Current number of equations to process: 4592
% Current number of ordered equations: 0
% Current number of rules: 362
% New rule produced :
% [520]
% converse(sk1) join complement(composition(A,composition(B,converse(sk1)))) ->
% top
% Current number of equations to process: 4591
% Current number of ordered equations: 0
% Current number of rules: 363
% New rule produced :
% [521]
% converse(sk1) join complement(composition(A,converse(composition(sk1,B)))) ->
% top
% Current number of equations to process: 4590
% Current number of ordered equations: 0
% Current number of rules: 364
% New rule produced :
% [522]
% converse(composition(top,sk1)) join complement(composition(A,converse(sk1)))
% -> top
% Current number of equations to process: 4588
% Current number of ordered equations: 0
% Current number of rules: 365
% New rule produced :
% [523]
% complement(converse(composition(A,top))) join complement(converse(A)) ->
% complement(converse(A))
% Current number of equations to process: 4587
% Current number of ordered equations: 0
% Current number of rules: 366
% New rule produced :
% [524]
% converse(composition(top,composition(A,top))) join complement(converse(A)) ->
% top
% Current number of equations to process: 4586
% Current number of ordered equations: 0
% Current number of rules: 367
% New rule produced : [525] converse(composition(converse(A),zero)) join A -> A
% Current number of equations to process: 4703
% Current number of ordered equations: 0
% Current number of rules: 368
% New rule produced :
% [526] complement(composition(converse(zero),A)) join A -> top
% Current number of equations to process: 4706
% Current number of ordered equations: 0
% Current number of rules: 369
% New rule produced :
% [527] converse(composition(A,zero)) join converse(A) -> converse(A)
% Current number of equations to process: 4714
% Current number of ordered equations: 0
% Current number of rules: 370
% New rule produced : [528] composition(converse(zero),zero) -> zero
% Current number of equations to process: 4758
% Current number of ordered equations: 0
% Current number of rules: 371
% New rule produced :
% [529] composition(converse(zero),composition(zero,A)) join A -> A
% Current number of equations to process: 4755
% Current number of ordered equations: 1
% Current number of rules: 372
% New rule produced :
% [530] composition(zero,composition(converse(zero),A)) join A -> A
% Current number of equations to process: 4755
% Current number of ordered equations: 0
% Current number of rules: 373
% New rule produced :
% [531] composition(converse(zero),complement(A)) join A -> A
% Current number of equations to process: 4783
% Current number of ordered equations: 0
% Current number of rules: 374
% New rule produced :
% [532] composition(converse(zero),A) join complement(A) -> complement(A)
% Current number of equations to process: 4782
% Current number of ordered equations: 0
% Current number of rules: 375
% New rule produced :
% [533] converse(complement(composition(converse(A),zero))) join A -> top
% Current number of equations to process: 4789
% Current number of ordered equations: 0
% Current number of rules: 376
% New rule produced :
% [534] converse(composition(zero,top)) join complement(one) -> complement(one)
% Current number of equations to process: 4824
% Current number of ordered equations: 0
% Current number of rules: 377
% New rule produced :
% [535] complement(composition(A,converse(zero))) join A -> top
% Current number of equations to process: 4840
% Current number of ordered equations: 0
% Current number of rules: 378
% New rule produced : [536] converse(composition(zero,converse(A))) join A -> A
% Rule [459] sk1 join converse(composition(zero,converse(sk1))) -> sk1
% collapsed.
% Current number of equations to process: 4850
% Current number of ordered equations: 0
% Current number of rules: 378
% New rule produced : [537] composition(zero,converse(zero)) -> zero
% Rule [348] one join composition(zero,converse(zero)) -> one collapsed.
% Current number of equations to process: 4898
% Current number of ordered equations: 0
% Current number of rules: 378
% New rule produced :
% [538] composition(composition(zero,A),converse(zero)) join A -> A
% Current number of equations to process: 4896
% Current number of ordered equations: 0
% Current number of rules: 379
% New rule produced :
% [539] converse(complement(composition(zero,converse(A)))) join A -> top
% Current number of equations to process: 4924
% Current number of ordered equations: 0
% Current number of rules: 380
% New rule produced :
% [540] converse(composition(converse(zero),A)) join converse(A) -> converse(A)
% Current number of equations to process: 4950
% Current number of ordered equations: 0
% Current number of rules: 381
% New rule produced :
% [541]
% converse(complement(converse(composition(converse(zero),A)))) join A -> top
% Current number of equations to process: 4949
% Current number of ordered equations: 0
% Current number of rules: 382
% New rule produced :
% [542]
% composition(top,complement(composition(converse(zero),A))) join A -> top
% Current number of equations to process: 4947
% Current number of ordered equations: 0
% Current number of rules: 383
% New rule produced :
% [543]
% composition(top,A) join composition(A,converse(zero)) -> composition(top,A)
% Current number of equations to process: 4946
% Current number of ordered equations: 0
% Current number of rules: 384
% New rule produced :
% [544]
% converse(complement(converse(composition(A,converse(zero))))) join A -> top
% Current number of equations to process: 4945
% Current number of ordered equations: 0
% Current number of rules: 385
% New rule produced :
% [545]
% composition(top,complement(composition(A,converse(zero)))) join A -> top
% Current number of equations to process: 4942
% Current number of ordered equations: 0
% Current number of rules: 386
% New rule produced :
% [546] composition(composition(converse(zero),A),converse(zero)) join A -> A
% Current number of equations to process: 4939
% Current number of ordered equations: 1
% Current number of rules: 387
% New rule produced :
% [547] composition(converse(zero),composition(A,converse(zero))) join A -> A
% Current number of equations to process: 4939
% Current number of ordered equations: 0
% Current number of rules: 388
% New rule produced :
% [548] converse(A) join complement(converse(composition(zero,A))) -> top
% Current number of equations to process: 4949
% Current number of ordered equations: 0
% Current number of rules: 389
% New rule produced :
% [549]
% complement(converse(complement(converse(composition(zero,A))))) join A -> A
% Current number of equations to process: 792
% Current number of ordered equations: 0
% Current number of rules: 390
% New rule produced :
% [550] complement(converse(composition(zero,converse(A)))) join A -> top
% Current number of equations to process: 795
% Current number of ordered equations: 0
% Current number of rules: 391
% New rule produced :
% [551] converse(complement(composition(zero,A))) join converse(A) -> top
% Current number of equations to process: 818
% Current number of ordered equations: 0
% Current number of rules: 392
% New rule produced :
% [552] complement(composition(zero,composition(zero,A))) join A -> top
% Current number of equations to process: 836
% Current number of ordered equations: 0
% Current number of rules: 393
% New rule produced :
% [553]
% converse(A) join complement(converse(composition(A,converse(zero)))) -> top
% Current number of equations to process: 852
% Current number of ordered equations: 0
% Current number of rules: 394
% New rule produced :
% [554] complement(complement(composition(zero,A)) join B) join A -> A
% Current number of equations to process: 851
% Current number of ordered equations: 0
% Current number of rules: 395
% New rule produced :
% [555]
% complement(composition(zero,composition(converse(zero),A))) join A -> top
% Current number of equations to process: 850
% Current number of ordered equations: 0
% Current number of rules: 396
% New rule produced :
% [556]
% sk1 join complement(composition(complement(composition(zero,sk1)),top)) ->
% sk1
% Current number of equations to process: 1040
% Current number of ordered equations: 0
% Current number of rules: 397
% New rule produced :
% [557]
% composition(complement(A),converse(zero)) join A ->
% converse(composition(zero,top)) join A
% Current number of equations to process: 1041
% Current number of ordered equations: 0
% Current number of rules: 398
% New rule produced :
% [558]
% composition(composition(A,zero),converse(zero)) join complement(one) ->
% complement(one)
% Current number of equations to process: 1040
% Current number of ordered equations: 0
% Current number of rules: 399
% New rule produced :
% [559]
% converse(composition(zero,composition(zero,A))) join converse(A) ->
% converse(A)
% Current number of equations to process: 1039
% Current number of ordered equations: 0
% Current number of rules: 400
% New rule produced :
% [560] composition(converse(sk1),sk1) -> converse(composition(top,sk1))
% Current number of equations to process: 1985
% Current number of ordered equations: 0
% Current number of rules: 401
% New rule produced :
% [561] composition(composition(A,complement(one)),zero) -> composition(A,zero)
% Current number of equations to process: 1989
% Current number of ordered equations: 0
% Current number of rules: 402
% New rule produced :
% [562] composition(complement(one),composition(zero,A)) -> composition(zero,A)
% Current number of equations to process: 1988
% Current number of ordered equations: 0
% Current number of rules: 403
% New rule produced : [563] complement(composition(A,zero)) -> top
% Rule [337] complement(one) join complement(composition(A,zero)) -> top
% collapsed.
% Rule
% [377] converse(complement(composition(A,zero))) join complement(one) -> top
% collapsed.
% Rule
% [507]
% one join complement(composition(A,zero)) -> complement(composition(A,zero))
% collapsed.
% Rule
% [510]
% composition(top,complement(composition(A,zero))) join complement(one) -> top
% collapsed.
% Rule
% [511]
% composition(top,complement(one)) join complement(composition(A,zero)) -> top
% collapsed.
% Rule [533] converse(complement(composition(converse(A),zero))) join A -> top
% collapsed.
% Current number of equations to process: 2000
% Current number of ordered equations: 0
% Current number of rules: 398
% Rule [421]
% composition(converse(composition(B,A)),complement(composition(B,top)))
% -> composition(converse(A),zero) is composed into [421]
% composition(converse(
% composition(B,A)),
% complement(composition(B,top)))
% -> zero
% Rule [403]
% composition(composition(A,converse(B)),complement(composition(B,top)))
% -> composition(A,zero) is composed into [403]
% composition(composition(A,
% converse(B)),
% complement(composition(B,top)))
% -> zero
% Rule [372]
% composition(composition(A,B),complement(converse(composition(top,B))))
% -> composition(A,zero) is composed into [372]
% composition(composition(A,B),
% complement(converse(composition(top,B))))
% -> zero
% New rule produced : [564] composition(A,zero) -> zero
% Rule [338] composition(A,zero) join complement(one) -> complement(one)
% collapsed.
% Rule [360] composition(complement(one),zero) -> zero collapsed.
% Rule [361] composition(zero,zero) -> zero collapsed.
% Rule [363] composition(A,zero) join composition(A,B) -> composition(A,B)
% collapsed.
% Rule
% [398] converse(composition(A,zero)) join complement(one) -> complement(one)
% collapsed.
% Rule [401] composition(top,zero) -> zero collapsed.
% Rule
% [509]
% composition(A,composition(B,zero)) join complement(one) -> complement(one)
% collapsed.
% Rule
% [513]
% complement(one) join complement(composition(A,composition(B,zero))) -> top
% collapsed.
% Rule
% [514]
% converse(complement(converse(composition(A,zero)))) join complement(one) ->
% top collapsed.
% Rule
% [516]
% composition(top,complement(one)) join composition(A,zero) ->
% composition(complement(one),top) collapsed.
% Rule [525] converse(composition(converse(A),zero)) join A -> A collapsed.
% Rule [527] converse(composition(A,zero)) join converse(A) -> converse(A)
% collapsed.
% Rule [528] composition(converse(zero),zero) -> zero collapsed.
% Rule
% [558]
% composition(composition(A,zero),converse(zero)) join complement(one) ->
% complement(one) collapsed.
% Rule
% [561] composition(composition(A,complement(one)),zero) -> composition(A,zero)
% collapsed.
% Rule [563] complement(composition(A,zero)) -> top collapsed.
% Current number of equations to process: 2000
% Current number of ordered equations: 0
% Current number of rules: 383
% New rule produced :
% [565] composition(composition(A,converse(sk1)),complement(sk1)) -> zero
% Current number of equations to process: 1998
% Current number of ordered equations: 0
% Current number of rules: 384
% New rule produced :
% [566]
% composition(converse(sk1),composition(complement(sk1),A)) ->
% composition(zero,A)
% Current number of equations to process: 1997
% Current number of ordered equations: 0
% Current number of rules: 385
% New rule produced :
% [567]
% composition(converse(complement(sk1)),composition(sk1,A)) ->
% composition(converse(zero),A)
% Current number of equations to process: 1996
% Current number of ordered equations: 0
% Current number of rules: 386
% New rule produced :
% [568]
% composition(converse(zero),composition(complement(one),A)) ->
% composition(converse(zero),A)
% Current number of equations to process: 1994
% Current number of ordered equations: 0
% Current number of rules: 387
% New rule produced :
% [569]
% composition(composition(A,converse(zero)),complement(one)) ->
% composition(A,converse(zero))
% Current number of equations to process: 1993
% Current number of ordered equations: 0
% Current number of rules: 388
% Rule [567]
% composition(converse(complement(sk1)),composition(sk1,A)) ->
% composition(converse(zero),A) is composed into [567]
% composition(converse(
% complement(sk1)),
% composition(sk1,A)) ->
% converse(zero)
% Rule [419]
% composition(converse(complement(composition(B,top))),composition(B,A))
% -> composition(converse(zero),A) is composed into [419]
% composition(converse(
% complement(
% composition(B,top))),
% composition(B,A)) ->
% converse(zero)
% New rule produced : [570] composition(converse(zero),A) -> converse(zero)
% Rule [342] composition(converse(zero),A) join A -> A collapsed.
% Rule
% [508]
% converse(composition(converse(zero),A)) join complement(one) ->
% complement(one) collapsed.
% Rule
% [512]
% complement(one) join complement(converse(composition(converse(zero),A))) ->
% top collapsed.
% Rule
% [515]
% converse(complement(composition(converse(zero),A))) join complement(one) ->
% top collapsed.
% Rule [526] complement(composition(converse(zero),A)) join A -> top collapsed.
% Rule [529] composition(converse(zero),composition(zero,A)) join A -> A
% collapsed.
% Rule [530] composition(zero,composition(converse(zero),A)) join A -> A
% collapsed.
% Rule [531] composition(converse(zero),complement(A)) join A -> A collapsed.
% Rule [532] composition(converse(zero),A) join complement(A) -> complement(A)
% collapsed.
% Rule
% [540] converse(composition(converse(zero),A)) join converse(A) -> converse(A)
% collapsed.
% Rule
% [541]
% converse(complement(converse(composition(converse(zero),A)))) join A -> top
% collapsed.
% Rule
% [542]
% composition(top,complement(composition(converse(zero),A))) join A -> top
% collapsed.
% Rule
% [546] composition(composition(converse(zero),A),converse(zero)) join A -> A
% collapsed.
% Rule
% [547] composition(converse(zero),composition(A,converse(zero))) join A -> A
% collapsed.
% Rule
% [555]
% complement(composition(zero,composition(converse(zero),A))) join A -> top
% collapsed.
% Rule
% [568]
% composition(converse(zero),composition(complement(one),A)) ->
% composition(converse(zero),A) collapsed.
% Current number of equations to process: 1991
% Current number of ordered equations: 0
% Current number of rules: 373
% New rule produced :
% [571] composition(zero,complement(composition(A,top))) -> zero
% Current number of equations to process: 1989
% Current number of ordered equations: 0
% Current number of rules: 374
% New rule produced :
% [572] composition(zero,complement(composition(A,sk1))) -> zero
% Current number of equations to process: 1989
% Current number of ordered equations: 0
% Current number of rules: 375
% New rule produced :
% [573]
% composition(zero,complement(converse(A))) join complement(one) ->
% complement(one)
% Current number of equations to process: 2003
% Current number of ordered equations: 0
% Current number of rules: 376
% New rule produced :
% [574] composition(A,B) join complement(composition(zero,B)) -> top
% Current number of equations to process: 2020
% Current number of ordered equations: 0
% Current number of rules: 377
% New rule produced : [575] sk1 join composition(zero,top) -> sk1
% Current number of equations to process: 2028
% Current number of ordered equations: 0
% Current number of rules: 378
% New rule produced :
% [576] composition(zero,complement(A)) join complement(one) -> complement(one)
% Rule
% [573]
% composition(zero,complement(converse(A))) join complement(one) ->
% complement(one) collapsed.
% Current number of equations to process: 2038
% Current number of ordered equations: 0
% Current number of rules: 378
% New rule produced :
% [577] composition(zero,top) join composition(A,sk1) -> composition(A,sk1)
% Current number of equations to process: 2045
% Current number of ordered equations: 0
% Current number of rules: 379
% New rule produced :
% [578] composition(zero,complement(composition(A,complement(B)))) join B -> B
% Current number of equations to process: 2108
% Current number of ordered equations: 0
% Current number of rules: 380
% New rule produced :
% [579] composition(zero,complement(converse(composition(top,A)))) -> zero
% Current number of equations to process: 2134
% Current number of ordered equations: 0
% Current number of rules: 381
% New rule produced :
% [580] composition(zero,A) join composition(B,top) -> composition(B,top)
% Rule
% [447]
% composition(zero,composition(A,B)) join composition(A,top) ->
% composition(A,top) collapsed.
% Current number of equations to process: 2158
% Current number of ordered equations: 0
% Current number of rules: 381
% New rule produced : [581] composition(zero,complement(sk1)) -> zero
% Current number of equations to process: 2218
% Current number of ordered equations: 0
% Current number of rules: 382
% New rule produced :
% [582]
% composition(zero,complement(composition(A,B))) join complement(B) ->
% complement(B)
% Current number of equations to process: 2207
% Current number of ordered equations: 0
% Current number of rules: 383
% New rule produced :
% [583]
% converse(composition(top,A)) join composition(zero,top) ->
% converse(composition(top,A))
% Current number of equations to process: 2206
% Current number of ordered equations: 0
% Current number of rules: 384
% New rule produced :
% [584]
% composition(complement(one),converse(zero)) ->
% converse(composition(zero,top))
% Current number of equations to process: 2371
% Current number of ordered equations: 0
% Current number of rules: 385
% Rule [567]
% composition(converse(complement(sk1)),composition(sk1,A)) ->
% converse(zero) is composed into [567]
% composition(converse(complement(sk1)),
% composition(sk1,A)) -> zero
% Rule [419]
% composition(converse(complement(composition(B,top))),composition(B,A))
% -> converse(zero) is composed into [419]
% composition(converse(complement(
% composition(B,top))),
% composition(B,A)) -> zero
% New rule produced : [585] converse(zero) -> zero
% Rule [343] composition(A,converse(zero)) join A -> A collapsed.
% Rule
% [355] converse(composition(A,converse(zero))) join converse(A) -> converse(A)
% collapsed.
% Rule [367] converse(zero) join A -> A collapsed.
% Rule [368] complement(converse(zero)) -> top collapsed.
% Rule
% [456]
% converse(complement(composition(A,converse(zero)))) join converse(A) -> top
% collapsed.
% Rule [535] complement(composition(A,converse(zero))) join A -> top collapsed.
% Rule [537] composition(zero,converse(zero)) -> zero collapsed.
% Rule [538] composition(composition(zero,A),converse(zero)) join A -> A
% collapsed.
% Rule
% [543]
% composition(top,A) join composition(A,converse(zero)) -> composition(top,A)
% collapsed.
% Rule
% [544]
% converse(complement(converse(composition(A,converse(zero))))) join A -> top
% collapsed.
% Rule
% [545]
% composition(top,complement(composition(A,converse(zero)))) join A -> top
% collapsed.
% Rule
% [553]
% converse(A) join complement(converse(composition(A,converse(zero)))) -> top
% collapsed.
% Rule
% [557]
% composition(complement(A),converse(zero)) join A ->
% converse(composition(zero,top)) join A collapsed.
% Rule
% [569]
% composition(composition(A,converse(zero)),complement(one)) ->
% composition(A,converse(zero)) collapsed.
% Rule [570] composition(converse(zero),A) -> converse(zero) collapsed.
% Rule
% [584]
% composition(complement(one),converse(zero)) ->
% converse(composition(zero,top)) collapsed.
% Current number of equations to process: 2375
% Current number of ordered equations: 0
% Current number of rules: 370
% Rule [566]
% composition(converse(sk1),composition(complement(sk1),A)) ->
% composition(zero,A) is composed into [566]
% composition(converse(sk1),composition(
% complement(sk1),A))
% -> zero
% Rule [404]
% composition(converse(B),composition(complement(composition(B,top)),A))
% -> composition(zero,A) is composed into [404]
% composition(converse(B),
% composition(complement(composition(B,top)),A))
% -> zero
% Rule [373]
% composition(B,composition(complement(converse(composition(top,B))),A))
% -> composition(zero,A) is composed into [373]
% composition(B,composition(
% complement(
% converse(composition(top,B))),A))
% -> zero
% New rule produced : [586] composition(zero,A) -> zero
% Rule [210] composition(zero,A) join A -> A collapsed.
% Rule [345] converse(complement(converse(composition(zero,A)))) join A -> top
% collapsed.
% Rule [346] complement(composition(zero,A)) join A -> top collapsed.
% Rule [347] converse(composition(zero,A)) join converse(A) -> converse(A)
% collapsed.
% Rule [349] composition(zero,composition(zero,A)) join A -> A collapsed.
% Rule [350] sk1 join composition(complement(composition(zero,sk1)),top) -> top
% collapsed.
% Rule
% [356]
% complement(composition(zero,A)) join complement(A) ->
% complement(composition(zero,A)) collapsed.
% Rule
% [358]
% complement(composition(zero,complement(A))) join A ->
% complement(composition(zero,complement(A))) collapsed.
% Rule [362] composition(zero,B) join composition(A,B) -> composition(A,B)
% collapsed.
% Rule
% [369]
% composition(zero,complement(A join B)) join complement(B) -> complement(B)
% collapsed.
% Rule
% [370]
% composition(composition(zero,A),B) join composition(A,B) -> composition(A,B)
% collapsed.
% Rule
% [371]
% composition(A,composition(zero,B)) join composition(A,B) -> composition(A,B)
% collapsed.
% Rule
% [380]
% complement(A join B) join complement(composition(zero,A)) ->
% complement(composition(zero,A)) collapsed.
% Rule
% [416] complement(composition(zero,A) join B) join A -> complement(B) join A
% collapsed.
% Rule
% [427]
% converse(complement(converse(complement(A)))) join complement(composition(zero,A))
% -> top collapsed.
% Rule
% [434] composition(zero,complement(A)) join A -> composition(zero,top) join A
% collapsed.
% Rule
% [435]
% composition(zero,A) join complement(A) <->
% composition(zero,top) join complement(A) collapsed.
% Rule
% [436]
% composition(zero,top) join complement(A) <->
% composition(zero,A) join complement(A) collapsed.
% Rule [475] composition(top,complement(composition(zero,A))) join A -> top
% collapsed.
% Rule
% [534] converse(composition(zero,top)) join complement(one) -> complement(one)
% collapsed.
% Rule [536] converse(composition(zero,converse(A))) join A -> A collapsed.
% Rule [539] converse(complement(composition(zero,converse(A)))) join A -> top
% collapsed.
% Rule [548] converse(A) join complement(converse(composition(zero,A))) -> top
% collapsed.
% Rule
% [549]
% complement(converse(complement(converse(composition(zero,A))))) join A -> A
% collapsed.
% Rule [550] complement(converse(composition(zero,converse(A)))) join A -> top
% collapsed.
% Rule [551] converse(complement(composition(zero,A))) join converse(A) -> top
% collapsed.
% Rule [552] complement(composition(zero,composition(zero,A))) join A -> top
% collapsed.
% Rule [554] complement(complement(composition(zero,A)) join B) join A -> A
% collapsed.
% Rule
% [556]
% sk1 join complement(composition(complement(composition(zero,sk1)),top)) ->
% sk1 collapsed.
% Rule
% [559]
% converse(composition(zero,composition(zero,A))) join converse(A) ->
% converse(A) collapsed.
% Rule
% [562] composition(complement(one),composition(zero,A)) -> composition(zero,A)
% collapsed.
% Rule [571] composition(zero,complement(composition(A,top))) -> zero
% collapsed.
% Rule [572] composition(zero,complement(composition(A,sk1))) -> zero
% collapsed.
% Rule [574] composition(A,B) join complement(composition(zero,B)) -> top
% collapsed.
% Rule [575] sk1 join composition(zero,top) -> sk1 collapsed.
% Rule
% [576] composition(zero,complement(A)) join complement(one) -> complement(one)
% collapsed.
% Rule
% [577] composition(zero,top) join composition(A,sk1) -> composition(A,sk1)
% collapsed.
% Rule
% [578] composition(zero,complement(composition(A,complement(B)))) join B -> B
% collapsed.
% Rule [579] composition(zero,complement(converse(composition(top,A)))) -> zero
% collapsed.
% Rule [580] composition(zero,A) join composition(B,top) -> composition(B,top)
% collapsed.
% Rule [581] composition(zero,complement(sk1)) -> zero collapsed.
% Rule
% [582]
% composition(zero,complement(composition(A,B))) join complement(B) ->
% complement(B) collapsed.
% Rule
% [583]
% converse(composition(top,A)) join composition(zero,top) ->
% converse(composition(top,A)) collapsed.
% Current number of equations to process: 2374
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [587]
% composition(composition(A,B),converse(composition(top,B))) ->
% composition(composition(A,B),top)
% Current number of equations to process: 2379
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [588]
% converse(complement(converse(A))) join complement(composition(top,A)) ->
% converse(complement(converse(A)))
% Current number of equations to process: 2579
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [589]
% composition(complement(sk1),top) join complement(composition(top,sk1)) ->
% composition(complement(sk1),top)
% Current number of equations to process: 2578
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced :
% [590]
% converse(composition(A,top)) join complement(converse(complement(A))) ->
% converse(composition(A,top))
% Current number of equations to process: 2575
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced :
% [591]
% converse(composition(top,A)) join complement(converse(complement(A))) ->
% converse(composition(top,A))
% Current number of equations to process: 2573
% Current number of ordered equations: 0
% Current number of rules: 333
% Rule [384]
% composition(composition(top,complement(sk1)),A) <->
% composition(complement(converse(sk1)),composition(complement(sk1),A)) is composed into 
% [384]
% composition(composition(top,complement(sk1)),A) <->
% composition(top,composition(complement(sk1),A))
% New rule produced :
% [592]
% composition(complement(converse(sk1)),composition(complement(sk1),A)) ->
% composition(top,composition(complement(sk1),A))
% Rule
% [383]
% composition(complement(converse(sk1)),composition(complement(sk1),A)) <->
% composition(composition(top,complement(sk1)),A) collapsed.
% Current number of equations to process: 2763
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [593]
% composition(converse(composition(top,A)),composition(top,B)) ->
% composition(converse(composition(top,A)),B)
% Current number of equations to process: 2864
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced :
% [594]
% converse(sk1) join composition(A,converse(composition(sk1,B))) ->
% converse(sk1)
% Rule
% [387]
% converse(sk1) join composition(A,converse(composition(sk1,converse(B)))) ->
% converse(sk1) collapsed.
% Current number of equations to process: 2888
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced :
% [595]
% sk1 join converse(composition(A,converse(composition(sk1,converse(B))))) ->
% sk1
% Current number of equations to process: 2887
% Current number of ordered equations: 0
% Current number of rules: 335
% New rule produced :
% [596]
% converse(sk1) join converse(composition(composition(sk1,converse(A)),B)) ->
% converse(sk1)
% Current number of equations to process: 2886
% Current number of ordered equations: 0
% Current number of rules: 336
% New rule produced :
% [597] converse(sk1) join converse(composition(sk1,A)) -> converse(sk1)
% Current number of equations to process: 2907
% Current number of ordered equations: 0
% Current number of rules: 337
% New rule produced :
% [598]
% composition(converse(A),complement(one)) ->
% converse(composition(complement(one),A))
% Current number of equations to process: 3244
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced :
% [599]
% composition(complement(one),converse(A)) ->
% converse(composition(A,complement(one)))
% Rule
% [493]
% converse(composition(complement(one),converse(A))) join A ->
% composition(A,top) collapsed.
% Current number of equations to process: 3243
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced :
% [600]
% converse(composition(top,complement(one))) ->
% composition(complement(one),top)
% Rule
% [381]
% composition(top,complement(converse(composition(top,complement(one))))) ->
% complement(converse(composition(top,complement(one)))) collapsed.
% Current number of equations to process: 3271
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced :
% [601] one join converse(composition(complement(one),top)) -> top
% Current number of equations to process: 3280
% Current number of ordered equations: 0
% Current number of rules: 339
% New rule produced :
% [602]
% composition(complement(one),complement(composition(complement(one),top))) ->
% zero
% Current number of equations to process: 3277
% Current number of ordered equations: 0
% Current number of rules: 340
% New rule produced :
% [603]
% composition(composition(top,complement(one)),top) ->
% composition(top,complement(one))
% Current number of equations to process: 3324
% Current number of ordered equations: 0
% Current number of rules: 341
% New rule produced : [604] composition(complement(A),top) join A -> top
% Rule [71] sk1 join composition(complement(sk1),top) -> top collapsed.
% Rule
% [153]
% composition(complement(composition(A,sk1)),top) join composition(A,sk1) ->
% top collapsed.
% Current number of equations to process: 3335
% Current number of ordered equations: 0
% Current number of rules: 340
% New rule produced :
% [605] complement(composition(A,top)) join complement(A) -> complement(A)
% Current number of equations to process: 3483
% Current number of ordered equations: 0
% Current number of rules: 341
% New rule produced :
% [606] composition(top,A) join composition(complement(A),top) -> top
% Rule [317] composition(top,sk1) join composition(complement(sk1),top) -> top
% collapsed.
% Current number of equations to process: 3567
% Current number of ordered equations: 1
% Current number of rules: 341
% New rule produced :
% [607] composition(composition(top,A),top) join complement(A) -> top
% Current number of equations to process: 3567
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced :
% [608] composition(top,complement(A)) join composition(A,top) -> top
% Current number of equations to process: 3565
% Current number of ordered equations: 1
% Current number of rules: 343
% New rule produced :
% [609] composition(composition(top,complement(A)),top) join A -> top
% Rule [472] sk1 join composition(composition(top,complement(sk1)),top) -> top
% collapsed.
% Current number of equations to process: 3565
% Current number of ordered equations: 0
% Current number of rules: 343
% New rule produced :
% [610]
% composition(top,complement(composition(complement(one),top))) ->
% complement(composition(complement(one),top))
% Current number of equations to process: 3582
% Current number of ordered equations: 0
% Current number of rules: 344
% New rule produced :
% [611]
% composition(composition(A,complement(one)),top) join A -> composition(A,top)
% Current number of equations to process: 3580
% Current number of ordered equations: 0
% Current number of rules: 345
% New rule produced :
% [612]
% composition(composition(top,A),top) join A ->
% composition(composition(top,A),top)
% Current number of equations to process: 3579
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced :
% [613]
% composition(A,converse(composition(complement(one),top))) <->
% composition(composition(A,top),complement(one))
% Current number of equations to process: 3579
% Current number of ordered equations: 1
% Current number of rules: 347
% New rule produced :
% [614]
% composition(composition(A,top),complement(one)) <->
% composition(A,converse(composition(complement(one),top)))
% Current number of equations to process: 3579
% Current number of ordered equations: 0
% Current number of rules: 348
% New rule produced :
% [615]
% composition(converse(composition(complement(one),top)),A) <->
% composition(top,composition(complement(one),A))
% Current number of equations to process: 3577
% Current number of ordered equations: 1
% Current number of rules: 349
% New rule produced :
% [616]
% composition(top,composition(complement(one),A)) <->
% composition(converse(composition(complement(one),top)),A)
% Current number of equations to process: 3577
% Current number of ordered equations: 0
% Current number of rules: 350
% New rule produced :
% [617]
% complement(composition(A,complement(one))) join A ->
% complement(composition(A,top)) join A
% Current number of equations to process: 3576
% Current number of ordered equations: 0
% Current number of rules: 351
% New rule produced :
% [618]
% complement(composition(A,top) join B) join complement(A) -> complement(A)
% Current number of equations to process: 3575
% Current number of ordered equations: 0
% Current number of rules: 352
% New rule produced :
% [619]
% composition(converse(A),composition(complement(one),B)) <->
% composition(converse(composition(complement(one),A)),B)
% Current number of equations to process: 3574
% Current number of ordered equations: 1
% Current number of rules: 353
% New rule produced :
% [620]
% composition(converse(composition(complement(one),A)),B) <->
% composition(converse(A),composition(complement(one),B))
% Current number of equations to process: 3574
% Current number of ordered equations: 0
% Current number of rules: 354
% New rule produced :
% [621]
% composition(A,converse(composition(complement(one),B))) <->
% composition(composition(A,converse(B)),complement(one))
% Current number of equations to process: 3572
% Current number of ordered equations: 3
% Current number of rules: 355
% New rule produced :
% [622]
% composition(A,converse(composition(B,complement(one)))) <->
% composition(composition(A,complement(one)),converse(B))
% Current number of equations to process: 3572
% Current number of ordered equations: 2
% Current number of rules: 356
% New rule produced :
% [623]
% composition(composition(A,converse(B)),complement(one)) <->
% composition(A,converse(composition(complement(one),B)))
% Current number of equations to process: 3572
% Current number of ordered equations: 1
% Current number of rules: 357
% New rule produced :
% [624]
% composition(composition(A,complement(one)),converse(B)) <->
% composition(A,converse(composition(B,complement(one))))
% Current number of equations to process: 3572
% Current number of ordered equations: 0
% Current number of rules: 358
% New rule produced :
% [625]
% composition(converse(composition(A,complement(one))),B) <->
% composition(complement(one),composition(converse(A),B))
% Current number of equations to process: 3570
% Current number of ordered equations: 1
% Current number of rules: 359
% New rule produced :
% [626]
% composition(complement(one),composition(converse(A),B)) <->
% composition(converse(composition(A,complement(one))),B)
% Current number of equations to process: 3570
% Current number of ordered equations: 0
% Current number of rules: 360
% New rule produced :
% [627]
% one join composition(A,complement(converse(composition(complement(one),A))))
% -> one
% Current number of equations to process: 3566
% Current number of ordered equations: 0
% Current number of rules: 361
% New rule produced :
% [628]
% converse(composition(composition(A,top),complement(one))) <->
% composition(composition(complement(one),top),converse(A))
% Current number of equations to process: 3565
% Current number of ordered equations: 1
% Current number of rules: 362
% New rule produced :
% [629]
% composition(composition(complement(one),top),converse(A)) <->
% converse(composition(composition(A,top),complement(one)))
% Current number of equations to process: 3565
% Current number of ordered equations: 0
% Current number of rules: 363
% New rule produced :
% [630]
% converse(composition(complement(one),composition(top,A))) <->
% composition(converse(A),composition(top,complement(one)))
% Current number of equations to process: 3564
% Current number of ordered equations: 1
% Current number of rules: 364
% New rule produced :
% [631]
% composition(converse(A),composition(top,complement(one))) <->
% converse(composition(complement(one),composition(top,A)))
% Current number of equations to process: 3564
% Current number of ordered equations: 0
% Current number of rules: 365
% New rule produced :
% [632]
% composition(top,A) join composition(complement(composition(B,A)),top) -> top
% Rule
% [278]
% composition(top,sk1) join composition(complement(composition(A,sk1)),top) ->
% top collapsed.
% Current number of equations to process: 3562
% Current number of ordered equations: 1
% Current number of rules: 365
% New rule produced :
% [633]
% composition(composition(top,A),top) join complement(composition(B,A)) -> top
% Current number of equations to process: 3562
% Current number of ordered equations: 0
% Current number of rules: 366
% New rule produced :
% [634]
% converse(complement(converse(complement(composition(A,top))))) join complement(A)
% -> top
% Current number of equations to process: 3561
% Current number of ordered equations: 0
% Current number of rules: 367
% New rule produced :
% [635]
% converse(complement(converse(A))) join composition(composition(top,A),top) ->
% top
% Current number of equations to process: 3558
% Current number of ordered equations: 0
% Current number of rules: 368
% New rule produced :
% [636]
% converse(sk1) join composition(complement(composition(A,converse(sk1))),top)
% -> top
% Current number of equations to process: 3555
% Current number of ordered equations: 0
% Current number of rules: 369
% New rule produced :
% [637]
% converse(composition(A,top)) join composition(complement(converse(A)),top) ->
% top
% Current number of equations to process: 3554
% Current number of ordered equations: 0
% Current number of rules: 370
% New rule produced :
% [638] converse(composition(complement(converse(A)),top)) join A -> top
% Current number of equations to process: 3583
% Current number of ordered equations: 0
% Current number of rules: 371
% New rule produced :
% [639]
% converse(composition(complement(converse(A)),top)) join composition(top,A) ->
% top
% Current number of equations to process: 3756
% Current number of ordered equations: 0
% Current number of rules: 372
% New rule produced :
% [640]
% converse(composition(composition(top,A),top)) join converse(complement(A)) ->
% top
% Current number of equations to process: 3755
% Current number of ordered equations: 0
% Current number of rules: 373
% New rule produced :
% [641]
% converse(composition(composition(complement(one),top),converse(A))) <->
% composition(composition(A,top),complement(one))
% Current number of equations to process: 3750
% Current number of ordered equations: 1
% Current number of rules: 374
% New rule produced :
% [642]
% composition(composition(A,top),complement(one)) <->
% converse(composition(composition(complement(one),top),converse(A)))
% Current number of equations to process: 3750
% Current number of ordered equations: 0
% Current number of rules: 375
% New rule produced :
% [643]
% converse(composition(converse(A),composition(top,complement(one)))) <->
% composition(complement(one),composition(top,A))
% Current number of equations to process: 3749
% Current number of ordered equations: 1
% Current number of rules: 376
% New rule produced :
% [644]
% composition(complement(one),composition(top,A)) <->
% converse(composition(converse(A),composition(top,complement(one))))
% Current number of equations to process: 3749
% Current number of ordered equations: 0
% Current number of rules: 377
% New rule produced :
% [645]
% converse(composition(complement(one),complement(one))) join complement(one)
% -> composition(complement(one),top)
% Current number of equations to process: 3748
% Current number of ordered equations: 0
% Current number of rules: 378
% New rule produced :
% [646]
% composition(top,complement(one)) join composition(A,top) ->
% composition(top,complement(one)) join A
% Current number of equations to process: 3746
% Current number of ordered equations: 0
% Current number of rules: 379
% New rule produced :
% [647]
% composition(A,top) join complement(A join B) ->
% composition(A,top) join complement(B)
% Current number of equations to process: 3745
% Current number of ordered equations: 0
% Current number of rules: 380
% New rule produced :
% [648]
% composition(complement(A),top) join complement(A join B) ->
% composition(complement(A),top)
% Rule
% [422]
% composition(complement(sk1),top) join complement(sk1 join A) ->
% composition(complement(sk1),top) collapsed.
% Current number of equations to process: 3743
% Current number of ordered equations: 0
% Current number of rules: 380
% New rule produced :
% [649] sk1 join converse(composition(A,converse(sk1))) -> sk1
% Current number of equations to process: 3882
% Current number of ordered equations: 0
% Current number of rules: 381
% New rule produced :
% [650]
% converse(sk1) join composition(A,composition(B,converse(sk1))) ->
% converse(sk1)
% Current number of equations to process: 4182
% Current number of ordered equations: 0
% Current number of rules: 382
% New rule produced :
% [651] complement(composition(complement(A),top)) join A -> A
% Rule [407] sk1 join complement(composition(complement(sk1),top)) -> sk1
% collapsed.
% Current number of equations to process: 4603
% Current number of ordered equations: 0
% Current number of rules: 382
% New rule produced :
% [652] complement(composition(complement(A),top) join B) join A -> A
% Rule
% [409] sk1 join complement(composition(complement(sk1),top) join A) -> sk1
% collapsed.
% Current number of equations to process: 4640
% Current number of ordered equations: 0
% Current number of rules: 382
% New rule produced :
% [653]
% converse(complement(complement(A) join B)) join converse(A) -> converse(A)
% Current number of equations to process: 4639
% Current number of ordered equations: 0
% Current number of rules: 383
% New rule produced :
% [654]
% converse(sk1) join converse(complement(converse(composition(A,converse(sk1)))))
% -> top
% Current number of equations to process: 4639
% Current number of ordered equations: 0
% Current number of rules: 384
% New rule produced :
% [655]
% converse(composition(complement(one),top)) join complement(one) ->
% converse(composition(complement(one),top))
% Current number of equations to process: 4638
% Current number of ordered equations: 0
% Current number of rules: 385
% New rule produced :
% [656]
% composition(A,top) join complement(complement(A) join B) ->
% composition(A,top)
% Current number of equations to process: 4636
% Current number of ordered equations: 0
% Current number of rules: 386
% New rule produced :
% [657]
% composition(composition(A,complement(one)),complement(composition(complement(one),top)))
% -> zero
% Current number of equations to process: 4681
% Current number of ordered equations: 0
% Current number of rules: 387
% New rule produced :
% [658]
% composition(complement(one),composition(complement(composition(complement(one),top)),A))
% -> zero
% Current number of equations to process: 4722
% Current number of ordered equations: 0
% Current number of rules: 388
% New rule produced : [659] converse(complement(converse(complement(A)))) -> A
% Rule
% [250]
% converse(complement(converse(complement(A join B)))) join complement(B) ->
% top collapsed.
% Rule
% [418]
% converse(complement(converse(complement(complement(A) join B)))) join A ->
% top collapsed.
% Rule
% [426]
% converse(complement(converse(complement(composition(top,A))))) join complement(A)
% -> top collapsed.
% Rule
% [448]
% converse(complement(converse(complement(A)))) join A ->
% converse(complement(converse(complement(A)))) collapsed.
% Rule
% [634]
% converse(complement(converse(complement(composition(A,top))))) join complement(A)
% -> top collapsed.
% Current number of equations to process: 4740
% Current number of ordered equations: 0
% Current number of rules: 384
% New rule produced : [660] converse(complement(converse(A))) -> complement(A)
% Rule [61] converse(complement(converse(A))) join A -> top collapsed.
% Rule
% [168]
% converse(complement(converse(composition(A,B)))) join composition(top,B) ->
% top collapsed.
% Rule
% [261]
% composition(converse(complement(converse(B))),A) join composition(B,A) ->
% composition(top,A) collapsed.
% Rule
% [264]
% converse(complement(converse(composition(converse(A),complement(A))))) join 
% complement(one) -> top collapsed.
% Rule
% [268]
% converse(complement(converse(composition(A,complement(converse(A)))))) join 
% complement(one) -> top collapsed.
% Rule
% [275]
% composition(A,converse(complement(converse(B)))) join composition(A,B) ->
% composition(A,top) collapsed.
% Rule [316] converse(complement(converse(A))) join composition(top,A) -> top
% collapsed.
% Rule
% [329]
% converse(complement(converse(composition(A,B)))) join composition(A,top) ->
% top collapsed.
% Rule [410] complement(converse(complement(converse(A)))) join A -> A
% collapsed.
% Rule
% [411]
% converse(complement(converse(A))) join complement(A) ->
% converse(complement(converse(A))) collapsed.
% Rule [412] complement(converse(complement(converse(A))) join B) join A -> A
% collapsed.
% Rule
% [423]
% converse(complement(converse(A))) join complement(A join B) ->
% converse(complement(converse(A))) collapsed.
% Rule
% [484]
% composition(top,A) join complement(converse(complement(converse(A)))) ->
% composition(top,A) collapsed.
% Rule [499] sk1 join converse(complement(converse(composition(sk1,A)))) -> top
% collapsed.
% Rule [500] converse(complement(converse(A))) join composition(A,top) -> top
% collapsed.
% Rule
% [588]
% converse(complement(converse(A))) join complement(composition(top,A)) ->
% converse(complement(converse(A))) collapsed.
% Rule
% [635]
% converse(complement(converse(A))) join composition(composition(top,A),top) ->
% top collapsed.
% Rule
% [654]
% converse(sk1) join converse(complement(converse(composition(A,converse(sk1)))))
% -> top collapsed.
% Rule [659] converse(complement(converse(complement(A)))) -> A collapsed.
% Current number of equations to process: 4863
% Current number of ordered equations: 0
% Current number of rules: 366
% New rule produced : [661] sk1 join complement(composition(sk1,A)) -> top
% Rule [467] sk1 join complement(composition(sk1,converse(A))) -> top
% collapsed.
% Current number of equations to process: 4862
% Current number of ordered equations: 0
% Current number of rules: 366
% New rule produced :
% [662] converse(complement(converse(complement(A)) join B)) join A -> A
% Current number of equations to process: 4984
% Current number of ordered equations: 0
% Current number of rules: 367
% New rule produced :
% [663]
% converse(A) join complement(converse(composition(top,complement(A)))) ->
% converse(A)
% Current number of equations to process: 2793
% Current number of ordered equations: 0
% Current number of rules: 368
% New rule produced :
% [664]
% converse(A) join complement(converse(composition(complement(A),top))) ->
% converse(A)
% Rule
% [415]
% converse(sk1) join complement(converse(composition(complement(sk1),top))) ->
% converse(sk1) collapsed.
% Current number of equations to process: 2806
% Current number of ordered equations: 0
% Current number of rules: 368
% New rule produced :
% [665]
% converse(complement(converse(A) join B)) join complement(A) -> complement(A)
% Current number of equations to process: 2986
% Current number of ordered equations: 0
% Current number of rules: 369
% New rule produced :
% [666]
% composition(complement(composition(top,A)),composition(converse(A),B)) ->
% zero
% Current number of equations to process: 3115
% Current number of ordered equations: 1
% Current number of rules: 370
% New rule produced :
% [667]
% composition(complement(composition(top,A)),converse(composition(top,A))) ->
% zero
% Current number of equations to process: 3115
% Current number of ordered equations: 0
% Current number of rules: 371
% New rule produced :
% [668]
% converse(sk1) join converse(composition(composition(sk1,A),converse(B))) ->
% converse(sk1)
% Current number of equations to process: 3114
% Current number of ordered equations: 0
% Current number of rules: 372
% New rule produced :
% [669]
% converse(sk1) join composition(A,complement(converse(sk1))) ->
% converse(sk1) join composition(A,top)
% Current number of equations to process: 3111
% Current number of ordered equations: 0
% Current number of rules: 373
% New rule produced :
% [670]
% converse(sk1) join composition(A,converse(complement(sk1))) ->
% converse(sk1) join composition(A,top)
% Current number of equations to process: 3110
% Current number of ordered equations: 0
% Current number of rules: 374
% New rule produced :
% [671]
% converse(composition(top,sk1)) join composition(A,converse(sk1)) ->
% converse(composition(top,sk1))
% Current number of equations to process: 3109
% Current number of ordered equations: 0
% Current number of rules: 375
% New rule produced :
% [672]
% composition(composition(A,converse(B)),composition(B,top)) ->
% composition(A,converse(composition(top,B)))
% Current number of equations to process: 3108
% Current number of ordered equations: 0
% Current number of rules: 376
% New rule produced :
% [673]
% composition(composition(A,top),complement(composition(composition(top,A),top)))
% -> zero
% Current number of equations to process: 3225
% Current number of ordered equations: 0
% Current number of rules: 377
% New rule produced :
% [674]
% composition(converse(composition(A,B)),composition(A,top)) ->
% converse(composition(top,composition(A,B)))
% Current number of equations to process: 3297
% Current number of ordered equations: 0
% Current number of rules: 378
% New rule produced :
% [675]
% composition(A,top) join complement(composition(composition(A,B),top)) -> top
% Current number of equations to process: 3298
% Current number of ordered equations: 0
% Current number of rules: 379
% New rule produced :
% [676]
% converse(complement(converse(A) join B)) join A ->
% converse(complement(B)) join A
% Rule
% [260] converse(complement(converse(A) join converse(B))) join A join B -> top
% collapsed.
% Rule [454] one join converse(complement(one join converse(A))) join A -> top
% collapsed.
% Current number of equations to process: 3600
% Current number of ordered equations: 0
% Current number of rules: 378
% New rule produced :
% [677]
% one join converse(complement(one join A)) -> one join converse(complement(A))
% Current number of equations to process: 3680
% Current number of ordered equations: 0
% Current number of rules: 379
% New rule produced :
% [678]
% converse(complement(composition(top,complement(A)))) join converse(A) ->
% converse(A)
% Current number of equations to process: 3821
% Current number of ordered equations: 0
% Current number of rules: 380
% New rule produced :
% [679]
% converse(complement(composition(top,A))) join converse(complement(A)) ->
% converse(complement(A))
% Current number of equations to process: 3828
% Current number of ordered equations: 0
% Current number of rules: 381
% New rule produced :
% [680]
% converse(complement(A)) join complement(converse(complement(composition(top,A))))
% -> top
% Current number of equations to process: 3973
% Current number of ordered equations: 0
% Current number of rules: 382
% New rule produced :
% [681]
% one join complement(converse(complement(complement(one) join A))) -> top
% Current number of equations to process: 4004
% Current number of ordered equations: 0
% Current number of rules: 383
% New rule produced :
% [682]
% converse(A) join complement(converse(complement(complement(A) join B))) ->
% top
% Current number of equations to process: 4028
% Current number of ordered equations: 0
% Current number of rules: 384
% New rule produced :
% [683]
% complement(one) join complement(converse(complement(one join A))) -> top
% Current number of equations to process: 4231
% Current number of ordered equations: 0
% Current number of rules: 385
% New rule produced :
% [684]
% converse(complement(A)) join complement(converse(complement(composition(A,top))))
% -> top
% Current number of equations to process: 4244
% Current number of ordered equations: 0
% Current number of rules: 386
% New rule produced :
% [685]
% complement(sk1) join complement(converse(complement(converse(sk1) join A)))
% -> top
% Current number of equations to process: 4321
% Current number of ordered equations: 0
% Current number of rules: 387
% New rule produced :
% [686]
% complement(converse(complement(converse(A) join B))) join complement(A) ->
% top
% Rule
% [685]
% complement(sk1) join complement(converse(complement(converse(sk1) join A)))
% -> top collapsed.
% Current number of equations to process: 4320
% Current number of ordered equations: 0
% Current number of rules: 387
% New rule produced :
% [687]
% complement(converse(complement(converse(complement(A)) join B))) join A ->
% top
% Current number of equations to process: 4319
% Current number of ordered equations: 0
% Current number of rules: 388
% New rule produced :
% [688]
% converse(composition(composition(top,A),converse(A))) -> composition(A,top)
% Current number of equations to process: 4391
% Current number of ordered equations: 0
% Current number of rules: 389
% New rule produced :
% [689]
% composition(complement(one),composition(complement(one),top)) ->
% composition(complement(one),top)
% Current number of equations to process: 4445
% Current number of ordered equations: 0
% Current number of rules: 390
% New rule produced :
% [690]
% composition(converse(composition(A,top)),composition(top,A)) ->
% composition(top,A)
% Current number of equations to process: 4444
% Current number of ordered equations: 0
% Current number of rules: 391
% New rule produced :
% [691]
% composition(converse(composition(top,A)),composition(A,top)) ->
% converse(composition(top,A))
% Current number of equations to process: 4443
% Current number of ordered equations: 0
% Current number of rules: 392
% New rule produced :
% [692]
% composition(converse(composition(A,top)),composition(A,B)) ->
% composition(composition(top,A),B)
% Current number of equations to process: 4442
% Current number of ordered equations: 0
% Current number of rules: 393
% New rule produced :
% [693]
% composition(composition(A,top),composition(converse(B),B)) ->
% composition(A,composition(top,B))
% Current number of equations to process: 4441
% Current number of ordered equations: 0
% Current number of rules: 394
% New rule produced :
% [694]
% complement(composition(composition(top,A),top)) join complement(A) ->
% complement(A)
% Current number of equations to process: 4511
% Current number of ordered equations: 0
% Current number of rules: 395
% New rule produced :
% [695]
% composition(top,composition(A,top)) join complement(composition(A,B)) -> top
% Current number of equations to process: 4654
% Current number of ordered equations: 0
% Current number of rules: 396
% New rule produced :
% [696]
% composition(A,sk1) join complement(composition(composition(A,sk1),B)) -> top
% Current number of equations to process: 4653
% Current number of ordered equations: 0
% Current number of rules: 397
% New rule produced :
% [697]
% composition(A,top) join complement(composition(composition(A,B),C)) -> top
% Rule
% [675]
% composition(A,top) join complement(composition(composition(A,B),top)) -> top
% collapsed.
% Current number of equations to process: 4652
% Current number of ordered equations: 0
% Current number of rules: 397
% New rule produced :
% [698]
% composition(complement(composition(A,B)),top) join composition(A,top) -> top
% Rule
% [443]
% composition(complement(composition(A,sk1)),top) join composition(A,top) ->
% top collapsed.
% Current number of equations to process: 4649
% Current number of ordered equations: 0
% Current number of rules: 397
% New rule produced :
% [699]
% converse(composition(A,top)) join complement(one) ->
% composition(A,top) join complement(one)
% Rule
% [655]
% converse(composition(complement(one),top)) join complement(one) ->
% converse(composition(complement(one),top)) collapsed.
% Current number of equations to process: 4691
% Current number of ordered equations: 0
% Current number of rules: 397
% Rule [616]
% composition(top,composition(complement(one),A)) <->
% composition(converse(composition(complement(one),top)),A) is composed into 
% [616]
% composition(top,composition(complement(one),A)) <->
% composition(composition(complement(one),top),A)
% Rule [614]
% composition(composition(A,top),complement(one)) <->
% composition(A,converse(composition(complement(one),top))) is composed into 
% [614]
% composition(composition(A,top),complement(one)) <->
% composition(A,composition(complement(one),top))
% New rule produced :
% [700]
% converse(composition(complement(one),top)) ->
% composition(complement(one),top)
% Rule [601] one join converse(composition(complement(one),top)) -> top
% collapsed.
% Rule
% [613]
% composition(A,converse(composition(complement(one),top))) <->
% composition(composition(A,top),complement(one)) collapsed.
% Rule
% [615]
% composition(converse(composition(complement(one),top)),A) <->
% composition(top,composition(complement(one),A)) collapsed.
% Current number of equations to process: 4692
% Current number of ordered equations: 0
% Current number of rules: 395
% New rule produced :
% [701]
% sk1 join converse(sk1) join complement(one) ->
% converse(sk1) join complement(one)
% Current number of equations to process: 4809
% Current number of ordered equations: 0
% Current number of rules: 396
% New rule produced : [702] sk1 join composition(composition(sk1,A),B) -> sk1
% Current number of equations to process: 4840
% Current number of ordered equations: 0
% Current number of rules: 397
% New rule produced :
% [703] composition(sk1,A) join composition(top,sk1) -> composition(top,sk1)
% Current number of equations to process: 4903
% Current number of ordered equations: 0
% Current number of rules: 398
% New rule produced :
% [704] sk1 join composition(complement(sk1),A) -> sk1 join composition(top,A)
% Current number of equations to process: 4902
% Current number of ordered equations: 0
% Current number of rules: 399
% New rule produced :
% [705] sk1 join composition(top,complement(composition(sk1,A))) -> top
% Current number of equations to process: 4900
% Current number of ordered equations: 0
% Current number of rules: 400
% New rule produced :
% [706]
% complement(sk1) join complement(composition(sk1,A)) ->
% complement(composition(sk1,A))
% Current number of equations to process: 1435
% Current number of ordered equations: 0
% Current number of rules: 401
% New rule produced :
% [707] sk1 join composition(converse(composition(A,converse(sk1))),B) -> sk1
% Current number of equations to process: 1438
% Current number of ordered equations: 0
% Current number of rules: 402
% New rule produced :
% [708] sk1 join complement(complement(composition(sk1,A)) join B) -> sk1
% Current number of equations to process: 1437
% Current number of ordered equations: 0
% Current number of rules: 403
% New rule produced :
% [709]
% composition(top,composition(A,top)) join A ->
% composition(top,composition(A,top))
% Current number of equations to process: 1436
% Current number of ordered equations: 0
% Current number of rules: 404
% New rule produced :
% [710]
% sk1 join complement(composition(sk1,B) join A) -> sk1 join complement(A)
% Current number of equations to process: 1489
% Current number of ordered equations: 0
% Current number of rules: 405
% New rule produced :
% [711]
% composition(sk1,A) join composition(composition(sk1,B),A) ->
% composition(sk1,A)
% Current number of equations to process: 1495
% Current number of ordered equations: 0
% Current number of rules: 406
% New rule produced :
% [712]
% composition(A,sk1) join composition(A,composition(sk1,B)) ->
% composition(A,sk1)
% Current number of equations to process: 1494
% Current number of ordered equations: 0
% Current number of rules: 407
% New rule produced :
% [713]
% sk1 join converse(composition(converse(A),composition(B,converse(sk1)))) ->
% sk1
% Current number of equations to process: 1493
% Current number of ordered equations: 0
% Current number of rules: 408
% New rule produced :
% [714]
% converse(complement(composition(sk1,A))) join complement(converse(complement(sk1)))
% -> top
% Current number of equations to process: 1491
% Current number of ordered equations: 0
% Current number of rules: 409
% New rule produced :
% [715]
% converse(composition(complement(one),composition(top,A))) <->
% composition(converse(A),composition(complement(one),top))
% Current number of equations to process: 1490
% Current number of ordered equations: 1
% Current number of rules: 410
% New rule produced :
% [716]
% composition(converse(A),composition(complement(one),top)) <->
% converse(composition(complement(one),composition(top,A)))
% Current number of equations to process: 1490
% Current number of ordered equations: 0
% Current number of rules: 411
% Rule [642]
% composition(composition(A,top),complement(one)) <->
% converse(composition(composition(complement(one),top),converse(A))) is composed into 
% [642]
% composition(composition(A,top),complement(one)) <->
% converse(converse(composition(A,composition(complement(one),top))))
% Rule [628]
% converse(composition(composition(A,top),complement(one))) <->
% composition(composition(complement(one),top),converse(A)) is composed into 
% [628]
% converse(composition(composition(A,top),complement(one))) <->
% converse(composition(A,composition(complement(one),top)))
% New rule produced :
% [717]
% composition(composition(complement(one),top),converse(A)) ->
% converse(composition(A,composition(complement(one),top)))
% Rule
% [629]
% composition(composition(complement(one),top),converse(A)) <->
% converse(composition(composition(A,top),complement(one))) collapsed.
% Rule
% [641]
% converse(composition(composition(complement(one),top),converse(A))) <->
% composition(composition(A,top),complement(one)) collapsed.
% Current number of equations to process: 1491
% Current number of ordered equations: 0
% Current number of rules: 410
% New rule produced :
% [718]
% composition(composition(complement(one),top),complement(composition(complement(one),top)))
% -> zero
% Current number of equations to process: 1489
% Current number of ordered equations: 0
% Current number of rules: 411
% New rule produced :
% [719] one join converse(complement(complement(one) join A)) -> one
% Current number of equations to process: 1570
% Current number of ordered equations: 0
% Current number of rules: 412
% New rule produced :
% [720]
% converse(complement(one join A)) join complement(one) -> complement(one)
% Current number of equations to process: 1813
% Current number of ordered equations: 0
% Current number of rules: 413
% New rule produced :
% [721]
% converse(complement(composition(A,top))) join converse(complement(A)) ->
% converse(complement(A))
% Current number of equations to process: 1828
% Current number of ordered equations: 0
% Current number of rules: 414
% New rule produced :
% [722]
% composition(sk1,complement(composition(top,complement(converse(composition(top,sk1))))))
% -> sk1
% Current number of equations to process: 2032
% Current number of ordered equations: 0
% Current number of rules: 415
% Rule [442]
% composition(converse(A),A) join complement(one) ->
% converse(composition(top,A)) join complement(one) is composed into 
% [442]
% composition(converse(A),A) join complement(one) ->
% composition(top,A) join complement(one)
% New rule produced :
% [723]
% converse(composition(top,A)) join complement(one) ->
% composition(top,A) join complement(one)
% Current number of equations to process: 2163
% Current number of ordered equations: 0
% Current number of rules: 416
% New rule produced :
% [724]
% converse(composition(top,complement(converse(A)))) join composition(A,top) ->
% top
% Current number of equations to process: 2345
% Current number of ordered equations: 0
% Current number of rules: 417
% New rule produced :
% [725]
% composition(top,sk1) join composition(composition(A,sk1),B) ->
% composition(top,sk1)
% Current number of equations to process: 2398
% Current number of ordered equations: 0
% Current number of rules: 418
% New rule produced :
% [726]
% converse(composition(composition(top,A),top)) join complement(converse(A)) ->
% top
% Current number of equations to process: 2820
% Current number of ordered equations: 0
% Current number of rules: 419
% New rule produced :
% [727]
% composition(top,complement(A)) join complement(composition(top,A)) ->
% composition(top,complement(A))
% Current number of equations to process: 2834
% Current number of ordered equations: 0
% Current number of rules: 420
% New rule produced :
% [728]
% composition(complement(A),top) join complement(composition(top,A)) ->
% composition(complement(A),top)
% Rule
% [589]
% composition(complement(sk1),top) join complement(composition(top,sk1)) ->
% composition(complement(sk1),top) collapsed.
% Current number of equations to process: 2833
% Current number of ordered equations: 0
% Current number of rules: 420
% New rule produced :
% [729]
% composition(composition(converse(A),A),composition(top,B)) ->
% composition(converse(composition(top,A)),B)
% Current number of equations to process: 2832
% Current number of ordered equations: 0
% Current number of rules: 421
% New rule produced :
% [730]
% composition(converse(A),composition(A,composition(top,B))) ->
% composition(converse(composition(top,A)),B)
% Current number of equations to process: 2831
% Current number of ordered equations: 0
% Current number of rules: 422
% New rule produced :
% [731]
% complement(sk1 join A) join complement(composition(sk1,B)) ->
% complement(composition(sk1,B))
% Current number of equations to process: 2829
% Current number of ordered equations: 0
% Current number of rules: 423
% New rule produced :
% [732]
% composition(composition(A,top),composition(complement(one),top)) ->
% composition(A,composition(complement(one),top))
% Current number of equations to process: 2827
% Current number of ordered equations: 0
% Current number of rules: 424
% New rule produced :
% [733]
% composition(composition(top,complement(one)),composition(top,A)) ->
% composition(composition(complement(one),top),A)
% Current number of equations to process: 2826
% Current number of ordered equations: 0
% Current number of rules: 425
% New rule produced :
% [734]
% converse(composition(converse(A),composition(complement(one),top))) <->
% composition(complement(one),composition(top,A))
% Current number of equations to process: 2822
% Current number of ordered equations: 1
% Current number of rules: 426
% New rule produced :
% [735]
% composition(complement(one),composition(top,A)) <->
% converse(composition(converse(A),composition(complement(one),top)))
% Current number of equations to process: 2822
% Current number of ordered equations: 0
% Current number of rules: 427
% New rule produced :
% [736]
% composition(top,A) join complement(composition(top,complement(A))) ->
% composition(top,A)
% Current number of equations to process: 3290
% Current number of ordered equations: 0
% Current number of rules: 428
% New rule produced :
% [737] composition(top,sk1) join complement(composition(sk1,A)) -> top
% Current number of equations to process: 3383
% Current number of ordered equations: 0
% Current number of rules: 429
% New rule produced :
% [738] composition(top,composition(A,top)) join complement(A) -> top
% Current number of equations to process: 3390
% Current number of ordered equations: 0
% Current number of rules: 430
% New rule produced :
% [739]
% composition(converse(sk1),composition(top,sk1)) ->
% converse(composition(top,sk1))
% Current number of equations to process: 3964
% Current number of ordered equations: 0
% Current number of rules: 431
% New rule produced :
% [740]
% composition(top,complement(A)) join complement(composition(A,top)) ->
% composition(top,complement(A))
% Current number of equations to process: 3963
% Current number of ordered equations: 0
% Current number of rules: 432
% Rule [451]
% composition(converse(composition(A,sk1)),composition(A,sk1)) ->
% converse(composition(top,composition(A,sk1))) is composed into [451]
% composition(
% converse(
% composition(A,sk1)),
% composition(A,sk1))
% ->
% composition(top,
% composition(A,sk1))
% New rule produced :
% [741]
% converse(composition(top,composition(A,sk1))) ->
% composition(top,composition(A,sk1))
% Current number of equations to process: 3971
% Current number of ordered equations: 0
% Current number of rules: 433
% New rule produced :
% [742]
% converse(composition(converse(sk1),composition(A,top))) ->
% composition(converse(sk1),composition(A,top))
% Current number of equations to process: 3981
% Current number of ordered equations: 0
% Current number of rules: 434
% Rule [739]
% composition(converse(sk1),composition(top,sk1)) ->
% converse(composition(top,sk1)) is composed into [739]
% composition(converse(sk1),
% composition(top,sk1)) ->
% composition(top,sk1)
% Rule [560] composition(converse(sk1),sk1) -> converse(composition(top,sk1)) is composed into 
% [560] composition(converse(sk1),sk1) -> composition(top,sk1)
% New rule produced :
% [743] converse(composition(top,sk1)) -> composition(top,sk1)
% Rule
% [522]
% converse(composition(top,sk1)) join complement(composition(A,converse(sk1)))
% -> top collapsed.
% Rule
% [671]
% converse(composition(top,sk1)) join composition(A,converse(sk1)) ->
% converse(composition(top,sk1)) collapsed.
% Rule
% [722]
% composition(sk1,complement(composition(top,complement(converse(composition(top,sk1))))))
% -> sk1 collapsed.
% Current number of equations to process: 4017
% Current number of ordered equations: 0
% Current number of rules: 432
% New rule produced :
% [744]
% composition(top,sk1) join complement(composition(A,converse(sk1))) -> top
% Current number of equations to process: 4016
% Current number of ordered equations: 0
% Current number of rules: 433
% New rule produced :
% [745]
% composition(top,sk1) join composition(A,converse(sk1)) ->
% composition(top,sk1)
% Current number of equations to process: 4015
% Current number of ordered equations: 0
% Current number of rules: 434
% New rule produced :
% [746]
% composition(sk1,complement(composition(top,complement(composition(top,sk1)))))
% -> sk1
% Current number of equations to process: 4014
% Current number of ordered equations: 0
% Current number of rules: 435
% New rule produced :
% [747]
% composition(converse(complement(sk1)),complement(sk1)) ->
% composition(top,complement(sk1))
% Current number of equations to process: 4363
% Current number of ordered equations: 0
% Current number of rules: 436
% New rule produced :
% [748]
% complement(composition(A,complement(composition(top,complement(B))))) join B
% -> top
% Rule
% [457]
% complement(composition(top,complement(composition(top,complement(A))))) join A
% -> top collapsed.
% Current number of equations to process: 4584
% Current number of ordered equations: 0
% Current number of rules: 436
% New rule produced :
% [749]
% converse(composition(complement(converse(complement(sk1))),sk1)) ->
% composition(top,sk1)
% Current number of equations to process: 4622
% Current number of ordered equations: 0
% Current number of rules: 437
% New rule produced :
% [750]
% composition(complement(converse(complement(composition(A,top)))),A) ->
% composition(top,A)
% Rule
% [458]
% converse(composition(complement(converse(complement(composition(A,top)))),A))
% -> converse(composition(top,A)) collapsed.
% Current number of equations to process: 4624
% Current number of ordered equations: 0
% Current number of rules: 437
% New rule produced :
% [751] composition(complement(composition(complement(A),top)),B) join A -> A
% Rule
% [460] composition(complement(composition(complement(A),top)),top) join A -> A
% collapsed.
% Current number of equations to process: 4645
% Current number of ordered equations: 0
% Current number of rules: 437
% New rule produced :
% [752]
% converse(composition(top,composition(A,top))) ->
% composition(composition(top,A),top)
% Rule
% [488]
% converse(sk1) join converse(composition(top,composition(complement(sk1),top)))
% -> top collapsed.
% Rule
% [498]
% converse(composition(top,composition(A,top))) join converse(complement(A)) ->
% top collapsed.
% Rule
% [524]
% converse(composition(top,composition(A,top))) join complement(converse(A)) ->
% top collapsed.
% Current number of equations to process: 4687
% Current number of ordered equations: 0
% Current number of rules: 435
% New rule produced :
% [753]
% converse(sk1) join composition(composition(top,complement(sk1)),top) -> top
% Current number of equations to process: 4709
% Current number of ordered equations: 0
% Current number of rules: 436
% New rule produced :
% [754] converse(complement(A)) join composition(composition(top,A),top) -> top
% Current number of equations to process: 4708
% Current number of ordered equations: 0
% Current number of rules: 437
% New rule produced :
% [755] composition(composition(top,A),top) join complement(converse(A)) -> top
% Current number of equations to process: 4707
% Current number of ordered equations: 0
% Current number of rules: 438
% New rule produced : [756] composition(sk1,complement(A)) join A -> sk1 join A
% Current number of equations to process: 1812
% Current number of ordered equations: 0
% Current number of rules: 439
% New rule produced :
% [757]
% composition(A,composition(top,complement(B))) join B ->
% composition(A,top) join B
% Current number of equations to process: 1863
% Current number of ordered equations: 0
% Current number of rules: 440
% New rule produced :
% [758] composition(sk1,A) join complement(A) -> sk1 join complement(A)
% Current number of equations to process: 2021
% Current number of ordered equations: 0
% Current number of rules: 441
% New rule produced :
% [759]
% complement(composition(A,complement(composition(top,composition(A,top))))) ->
% top
% Current number of equations to process: 2232
% Current number of ordered equations: 0
% Current number of rules: 442
% New rule produced :
% [760] sk1 join complement(converse(composition(A,converse(sk1)))) -> top
% Current number of equations to process: 2361
% Current number of ordered equations: 0
% Current number of rules: 443
% New rule produced :
% [761]
% converse(complement(composition(sk1,A))) join composition(top,sk1) -> top
% Current number of equations to process: 2504
% Current number of ordered equations: 0
% Current number of rules: 444
% New rule produced :
% [762]
% converse(sk1) join complement(converse(complement(composition(sk1,A)))) ->
% converse(sk1)
% Current number of equations to process: 2547
% Current number of ordered equations: 0
% Current number of rules: 445
% New rule produced :
% [763]
% sk1 join complement(composition(composition(top,complement(sk1)),top)) -> sk1
% Current number of equations to process: 2571
% Current number of ordered equations: 0
% Current number of rules: 446
% New rule produced :
% [764]
% sk1 join complement(composition(top,complement(composition(sk1,A)))) -> sk1
% Current number of equations to process: 3175
% Current number of ordered equations: 0
% Current number of rules: 447
% New rule produced :
% [765] complement(composition(composition(top,complement(A)),top)) join A -> A
% Rule
% [763]
% sk1 join complement(composition(composition(top,complement(sk1)),top)) -> sk1
% collapsed.
% Current number of equations to process: 3441
% Current number of ordered equations: 0
% Current number of rules: 447
% New rule produced :
% [766] converse(A) join composition(composition(top,complement(A)),top) -> top
% Rule
% [753]
% converse(sk1) join composition(composition(top,complement(sk1)),top) -> top
% collapsed.
% Current number of equations to process: 3634
% Current number of ordered equations: 0
% Current number of rules: 447
% New rule produced :
% [767]
% converse(sk1) join converse(composition(top,complement(composition(sk1,A))))
% -> top
% Current number of equations to process: 4310
% Current number of ordered equations: 0
% Current number of rules: 448
% New rule produced :
% [768]
% converse(sk1) join converse(complement(composition(composition(sk1,A),B))) ->
% top
% Current number of equations to process: 4309
% Current number of ordered equations: 0
% Current number of rules: 449
% New rule produced :
% [769]
% converse(sk1) join converse(composition(complement(composition(sk1,A)),top))
% -> top
% Current number of equations to process: 4308
% Current number of ordered equations: 0
% Current number of rules: 450
% New rule produced :
% [770]
% converse(composition(composition(top,complement(A)),top)) join converse(A) ->
% top
% Current number of equations to process: 4307
% Current number of ordered equations: 0
% Current number of rules: 451
% New rule produced :
% [771]
% composition(A,top) join complement(composition(top,complement(A))) ->
% composition(A,top)
% Current number of equations to process: 4306
% Current number of ordered equations: 0
% Current number of rules: 452
% New rule produced :
% [772]
% composition(A,composition(B,top)) join complement(composition(A,B)) -> top
% Current number of equations to process: 4305
% Current number of ordered equations: 0
% Current number of rules: 453
% New rule produced :
% [773]
% composition(composition(top,A),top) join complement(composition(A,B)) -> top
% Current number of equations to process: 4318
% Current number of ordered equations: 0
% Current number of rules: 454
% New rule produced :
% [774]
% composition(top,A) join complement(composition(complement(A),top)) ->
% composition(top,A)
% Rule
% [487]
% composition(top,sk1) join complement(composition(complement(sk1),top)) ->
% composition(top,sk1) collapsed.
% Current number of equations to process: 4602
% Current number of ordered equations: 0
% Current number of rules: 454
% New rule produced :
% [775]
% composition(top,sk1) join composition(composition(top,complement(sk1)),top)
% -> top
% Current number of equations to process: 4658
% Current number of ordered equations: 0
% Current number of rules: 455
% New rule produced :
% [776]
% complement(converse(composition(top,complement(converse(A))))) join A -> A
% Current number of equations to process: 1842
% Current number of ordered equations: 0
% Current number of rules: 456
% New rule produced :
% [777]
% converse(composition(composition(top,complement(converse(A))),top)) join A ->
% top
% Current number of equations to process: 2032
% Current number of ordered equations: 0
% Current number of rules: 457
% New rule produced :
% [778]
% sk1 join converse(composition(top,complement(converse(composition(sk1,A)))))
% -> top
% Current number of equations to process: 2031
% Current number of ordered equations: 0
% Current number of rules: 458
% New rule produced :
% [779]
% sk1 join complement(converse(complement(composition(A,converse(sk1))))) ->
% sk1
% Current number of equations to process: 2319
% Current number of ordered equations: 0
% Current number of rules: 459
% New rule produced :
% [780] sk1 join complement(composition(composition(sk1,A),converse(B))) -> top
% Current number of equations to process: 2324
% Current number of ordered equations: 0
% Current number of rules: 460
% New rule produced :
% [781] sk1 join complement(composition(composition(sk1,converse(A)),B)) -> top
% Current number of equations to process: 2323
% Current number of ordered equations: 0
% Current number of rules: 461
% New rule produced :
% [782] sk1 join complement(composition(composition(sk1,A),B)) -> top
% Rule
% [780] sk1 join complement(composition(composition(sk1,A),converse(B))) -> top
% collapsed.
% Rule
% [781] sk1 join complement(composition(composition(sk1,converse(A)),B)) -> top
% collapsed.
% Current number of equations to process: 2326
% Current number of ordered equations: 0
% Current number of rules: 460
% New rule produced :
% [783]
% sk1 join converse(composition(top,complement(composition(A,converse(sk1)))))
% -> top
% Current number of equations to process: 2369
% Current number of ordered equations: 0
% Current number of rules: 461
% New rule produced :
% [784]
% converse(complement(composition(A,converse(sk1)))) join composition(top,sk1)
% -> top
% Current number of equations to process: 2368
% Current number of ordered equations: 0
% Current number of rules: 462
% New rule produced :
% [785]
% sk1 join converse(complement(composition(A,composition(B,converse(sk1))))) ->
% top
% Current number of equations to process: 2366
% Current number of ordered equations: 0
% Current number of rules: 463
% New rule produced :
% [786]
% sk1 join converse(complement(composition(A,converse(composition(sk1,B))))) ->
% top
% Current number of equations to process: 2365
% Current number of ordered equations: 0
% Current number of rules: 464
% New rule produced :
% [787]
% sk1 join complement(composition(converse(composition(A,converse(sk1))),B)) ->
% top
% Current number of equations to process: 2364
% Current number of ordered equations: 0
% Current number of rules: 465
% New rule produced :
% [788]
% sk1 join converse(composition(complement(composition(A,converse(sk1))),top))
% -> top
% Current number of equations to process: 2362
% Current number of ordered equations: 0
% Current number of rules: 466
% New rule produced :
% [789]
% converse(composition(complement(converse(A)),top)) join composition(A,top) ->
% top
% Current number of equations to process: 2384
% Current number of ordered equations: 0
% Current number of rules: 467
% New rule produced :
% [790]
% composition(top,sk1) join complement(converse(composition(sk1,A))) -> top
% Current number of equations to process: 2554
% Current number of ordered equations: 0
% Current number of rules: 468
% New rule produced :
% [791]
% converse(sk1) join composition(top,complement(converse(composition(sk1,A))))
% -> top
% Current number of equations to process: 2606
% Current number of ordered equations: 0
% Current number of rules: 469
% New rule produced :
% [792]
% converse(sk1) join complement(converse(composition(composition(sk1,A),B))) ->
% top
% Current number of equations to process: 2605
% Current number of ordered equations: 0
% Current number of rules: 470
% New rule produced :
% [793]
% converse(sk1) join composition(complement(converse(composition(sk1,A))),top)
% -> top
% Current number of equations to process: 2603
% Current number of ordered equations: 0
% Current number of rules: 471
% New rule produced :
% [794]
% composition(complement(one),top) join complement(composition(A,complement(one)))
% -> top
% Current number of equations to process: 2600
% Current number of ordered equations: 1
% Current number of rules: 472
% New rule produced :
% [795]
% composition(top,complement(one)) join complement(composition(complement(one),top))
% -> top
% Current number of equations to process: 2600
% Current number of ordered equations: 0
% Current number of rules: 473
% New rule produced :
% [796]
% composition(composition(sk1,complement(one)),top) ->
% composition(sk1,complement(one))
% Current number of equations to process: 2606
% Current number of ordered equations: 0
% Current number of rules: 474
% New rule produced :
% [797]
% one join composition(A,complement(composition(complement(one),top))) -> one
% Current number of equations to process: 2633
% Current number of ordered equations: 0
% Current number of rules: 475
% New rule produced :
% [798]
% composition(composition(complement(one),top),A) join A -> composition(top,A)
% Current number of equations to process: 2634
% Current number of ordered equations: 0
% Current number of rules: 476
% New rule produced :
% [799]
% composition(A,composition(top,complement(one))) <->
% composition(composition(A,complement(one)),top)
% Current number of equations to process: 2643
% Current number of ordered equations: 1
% Current number of rules: 477
% New rule produced :
% [800]
% composition(composition(A,complement(one)),top) <->
% composition(A,composition(top,complement(one)))
% Current number of equations to process: 2643
% Current number of ordered equations: 0
% Current number of rules: 478
% New rule produced :
% [801]
% composition(complement(one),composition(top,A)) <->
% composition(composition(top,complement(one)),A)
% Current number of equations to process: 2642
% Current number of ordered equations: 1
% Current number of rules: 479
% New rule produced :
% [802]
% composition(composition(top,complement(one)),A) <->
% composition(complement(one),composition(top,A))
% Rule
% [603]
% composition(composition(top,complement(one)),top) ->
% composition(top,complement(one)) collapsed.
% Current number of equations to process: 2642
% Current number of ordered equations: 0
% Current number of rules: 479
% New rule produced :
% [803]
% converse(composition(top,composition(complement(one),A))) <->
% composition(converse(A),composition(top,complement(one)))
% Current number of equations to process: 2658
% Current number of ordered equations: 1
% Current number of rules: 480
% New rule produced :
% [804]
% composition(converse(A),composition(top,complement(one))) <->
% converse(composition(top,composition(complement(one),A)))
% Current number of equations to process: 2658
% Current number of ordered equations: 0
% Current number of rules: 481
% New rule produced :
% [805]
% converse(composition(composition(A,top),complement(one))) <->
% composition(composition(top,complement(one)),converse(A))
% Current number of equations to process: 2657
% Current number of ordered equations: 1
% Current number of rules: 482
% New rule produced :
% [806]
% composition(composition(top,complement(one)),converse(A)) <->
% converse(composition(composition(A,top),complement(one)))
% Current number of equations to process: 2657
% Current number of ordered equations: 0
% Current number of rules: 483
% New rule produced :
% [807]
% composition(top,complement(one)) join complement(composition(complement(one),A))
% -> top
% Rule
% [795]
% composition(top,complement(one)) join complement(composition(complement(one),top))
% -> top collapsed.
% Current number of equations to process: 2677
% Current number of ordered equations: 0
% Current number of rules: 483
% New rule produced :
% [808] complement(composition(sk1,complement(composition(top,sk1)))) -> top
% Current number of equations to process: 3040
% Current number of ordered equations: 0
% Current number of rules: 484
% New rule produced :
% [809]
% composition(composition(A,converse(sk1)),sk1) ->
% composition(A,composition(top,sk1))
% Current number of equations to process: 3061
% Current number of ordered equations: 0
% Current number of rules: 485
% New rule produced :
% [810]
% composition(composition(top,sk1),A) <->
% composition(converse(sk1),composition(sk1,A))
% Current number of equations to process: 3060
% Current number of ordered equations: 1
% Current number of rules: 486
% New rule produced :
% [811]
% composition(converse(sk1),composition(sk1,A)) <->
% composition(composition(top,sk1),A)
% Current number of equations to process: 3060
% Current number of ordered equations: 0
% Current number of rules: 487
% New rule produced :
% [812]
% composition(composition(top,sk1),complement(composition(top,sk1))) -> zero
% Current number of equations to process: 3062
% Current number of ordered equations: 0
% Current number of rules: 488
% New rule produced :
% [813]
% composition(composition(top,sk1),converse(A)) ->
% converse(composition(A,composition(top,sk1)))
% Current number of equations to process: 3061
% Current number of ordered equations: 0
% Current number of rules: 489
% New rule produced :
% [814]
% composition(converse(A),composition(top,sk1)) ->
% converse(composition(composition(top,sk1),A))
% Rule
% [739] composition(converse(sk1),composition(top,sk1)) -> composition(top,sk1)
% collapsed.
% Current number of equations to process: 3061
% Current number of ordered equations: 0
% Current number of rules: 489
% New rule produced :
% [815]
% converse(composition(converse(sk1),composition(sk1,sk1))) ->
% composition(top,sk1)
% Current number of equations to process: 3060
% Current number of ordered equations: 0
% Current number of rules: 490
% New rule produced :
% [816]
% converse(complement(composition(top,sk1))) join composition(top,sk1) -> top
% Current number of equations to process: 3059
% Current number of ordered equations: 0
% Current number of rules: 491
% New rule produced :
% [817]
% composition(composition(A,converse(sk1)),composition(complement(sk1),B)) ->
% zero
% Current number of equations to process: 3068
% Current number of ordered equations: 0
% Current number of rules: 492
% New rule produced :
% [818] complement(sk1) join complement(composition(complement(sk1),A)) -> top
% Current number of equations to process: 3073
% Current number of ordered equations: 0
% Current number of rules: 493
% New rule produced :
% [819]
% composition(converse(composition(complement(sk1),A)),composition(sk1,B)) ->
% zero
% Current number of equations to process: 3074
% Current number of ordered equations: 0
% Current number of rules: 494
% New rule produced :
% [820]
% sk1 join complement(composition(complement(sk1),A)) ->
% complement(composition(complement(sk1),A))
% Current number of equations to process: 3076
% Current number of ordered equations: 0
% Current number of rules: 495
% New rule produced :
% [821]
% composition(converse(composition(sk1,A)),composition(complement(sk1),B)) ->
% zero
% Current number of equations to process: 3081
% Current number of ordered equations: 0
% Current number of rules: 496
% New rule produced :
% [822]
% composition(converse(sk1),complement(composition(complement(sk1),A))) ->
% composition(top,sk1)
% Current number of equations to process: 3082
% Current number of ordered equations: 0
% Current number of rules: 497
% New rule produced :
% [823]
% composition(complement(composition(A,converse(sk1))),complement(sk1)) ->
% composition(top,complement(sk1))
% Current number of equations to process: 3072
% Current number of ordered equations: 0
% Current number of rules: 498
% New rule produced :
% [824]
% composition(composition(A,converse(complement(sk1))),composition(sk1,B)) ->
% zero
% Current number of equations to process: 3079
% Current number of ordered equations: 0
% Current number of rules: 499
% New rule produced :
% [825] composition(converse(sk1),composition(sk1,sk1)) -> composition(top,sk1)
% Rule
% [815]
% converse(composition(converse(sk1),composition(sk1,sk1))) ->
% composition(top,sk1) collapsed.
% Current number of equations to process: 3085
% Current number of ordered equations: 0
% Current number of rules: 499
% New rule produced :
% [826]
% complement(composition(sk1,A)) join complement(composition(complement(sk1),top))
% -> top
% Current number of equations to process: 3079
% Current number of ordered equations: 0
% Current number of rules: 500
% New rule produced :
% [827]
% composition(complement(converse(complement(sk1))),composition(sk1,A)) ->
% composition(top,composition(sk1,A))
% Current number of equations to process: 3078
% Current number of ordered equations: 0
% Current number of rules: 501
% New rule produced :
% [828]
% composition(converse(complement(sk1)),complement(composition(sk1,A))) ->
% converse(composition(top,complement(sk1)))
% Current number of equations to process: 3077
% Current number of ordered equations: 0
% Current number of rules: 502
% New rule produced :
% [829]
% composition(composition(A,top),converse(composition(B,top))) ->
% composition(A,converse(composition(B,top)))
% Current number of equations to process: 3191
% Current number of ordered equations: 0
% Current number of rules: 503
% New rule produced :
% [830]
% composition(A,composition(top,B)) join complement(B) ->
% composition(A,top) join complement(B)
% Current number of equations to process: 3187
% Current number of ordered equations: 0
% Current number of rules: 504
% New rule produced :
% [831]
% composition(complement(one),top) join composition(A,complement(one)) ->
% composition(top,complement(one))
% Current number of equations to process: 3184
% Current number of ordered equations: 0
% Current number of rules: 505
% New rule produced :
% [832]
% composition(composition(A,sk1),composition(complement(one),top)) ->
% composition(composition(A,sk1),complement(one))
% Current number of equations to process: 3183
% Current number of ordered equations: 0
% Current number of rules: 506
% New rule produced :
% [833]
% composition(top,complement(one)) join composition(complement(one),A) ->
% composition(complement(one),top)
% Current number of equations to process: 3182
% Current number of ordered equations: 0
% Current number of rules: 507
% New rule produced :
% [834]
% converse(composition(composition(top,complement(one)),converse(A))) <->
% composition(composition(A,top),complement(one))
% Current number of equations to process: 3181
% Current number of ordered equations: 1
% Current number of rules: 508
% New rule produced :
% [835]
% composition(composition(A,top),complement(one)) <->
% converse(composition(composition(top,complement(one)),converse(A)))
% Current number of equations to process: 3181
% Current number of ordered equations: 0
% Current number of rules: 509
% New rule produced :
% [836]
% converse(composition(converse(A),composition(top,complement(one)))) <->
% composition(top,composition(complement(one),A))
% Current number of equations to process: 3180
% Current number of ordered equations: 1
% Current number of rules: 510
% New rule produced :
% [837]
% composition(top,composition(complement(one),A)) <->
% converse(composition(converse(A),composition(top,complement(one))))
% Current number of equations to process: 3180
% Current number of ordered equations: 0
% Current number of rules: 511
% New rule produced :
% [838]
% composition(top,complement(one)) join composition(top,A) ->
% composition(complement(one),top) join A
% Current number of equations to process: 3177
% Current number of ordered equations: 0
% Current number of rules: 512
% New rule produced :
% [839]
% composition(complement(sk1),top) join complement(composition(sk1,A)) ->
% complement(composition(sk1,A))
% Current number of equations to process: 3176
% Current number of ordered equations: 0
% Current number of rules: 513
% New rule produced :
% [840]
% composition(composition(top,B),converse(composition(A,B))) ->
% converse(composition(composition(A,B),top))
% Current number of equations to process: 3175
% Current number of ordered equations: 0
% Current number of rules: 514
% New rule produced :
% [841]
% converse(sk1) join converse(composition(composition(sk1,A),B)) ->
% converse(sk1)
% Rule
% [596]
% converse(sk1) join converse(composition(composition(sk1,converse(A)),B)) ->
% converse(sk1) collapsed.
% Rule
% [668]
% converse(sk1) join converse(composition(composition(sk1,A),converse(B))) ->
% converse(sk1) collapsed.
% Current number of equations to process: 3511
% Current number of ordered equations: 0
% Current number of rules: 513
% New rule produced :
% [842] sk1 join converse(composition(A,converse(composition(sk1,B)))) -> sk1
% Rule
% [595]
% sk1 join converse(composition(A,converse(composition(sk1,converse(B))))) ->
% sk1 collapsed.
% Current number of equations to process: 3523
% Current number of ordered equations: 0
% Current number of rules: 513
% New rule produced :
% [843]
% converse(composition(sk1,A)) join composition(top,sk1) ->
% composition(top,sk1)
% Current number of equations to process: 3637
% Current number of ordered equations: 0
% Current number of rules: 514
% New rule produced :
% [844]
% converse(composition(complement(one),complement(one))) ->
% composition(complement(one),complement(one))
% Rule
% [645]
% converse(composition(complement(one),complement(one))) join complement(one)
% -> composition(complement(one),top) collapsed.
% Current number of equations to process: 3771
% Current number of ordered equations: 0
% Current number of rules: 514
% New rule produced :
% [845]
% composition(complement(one),complement(composition(top,complement(one)))) ->
% zero
% Current number of equations to process: 3974
% Current number of ordered equations: 0
% Current number of rules: 515
% New rule produced :
% [846] composition(top,composition(complement(A),top)) join A -> top
% Rule [318] sk1 join composition(top,composition(complement(sk1),top)) -> top
% collapsed.
% Current number of equations to process: 4021
% Current number of ordered equations: 0
% Current number of rules: 515
% New rule produced :
% [847] sk1 join composition(complement(composition(sk1,A)),top) -> top
% Current number of equations to process: 4230
% Current number of ordered equations: 0
% Current number of rules: 516
% New rule produced :
% [848]
% converse(composition(composition(top,complement(one)),complement(one))) ->
% composition(complement(one),top)
% Current number of equations to process: 4942
% Current number of ordered equations: 0
% Current number of rules: 517
% New rule produced :
% [849]
% converse(complement(composition(complement(A),top))) join converse(A) ->
% converse(A)
% Current number of equations to process: 4941
% Current number of ordered equations: 0
% Current number of rules: 518
% New rule produced :
% [850]
% complement(composition(top,composition(A,top))) join complement(A) ->
% complement(A)
% Current number of equations to process: 4940
% Current number of ordered equations: 0
% Current number of rules: 519
% New rule produced :
% [851]
% composition(top,complement(composition(top,complement(one)))) ->
% complement(composition(complement(one),top))
% Current number of equations to process: 459
% Current number of ordered equations: 0
% Current number of rules: 520
% New rule produced :
% [852]
% composition(A,composition(complement(one),top)) join A -> composition(A,top)
% Current number of equations to process: 511
% Current number of ordered equations: 0
% Current number of rules: 521
% Rule [837]
% composition(top,composition(complement(one),A)) <->
% converse(composition(converse(A),composition(top,complement(one)))) is composed into 
% [837]
% composition(top,composition(complement(one),A)) <->
% converse(converse(composition(composition(complement(one),top),A)))
% Rule [803]
% converse(composition(top,composition(complement(one),A))) <->
% composition(converse(A),composition(top,complement(one))) is composed into 
% [803]
% converse(composition(top,composition(complement(one),A))) <->
% converse(composition(composition(complement(one),top),A))
% Rule [644]
% composition(complement(one),composition(top,A)) <->
% converse(composition(converse(A),composition(top,complement(one)))) is composed into 
% [644]
% composition(complement(one),composition(top,A)) <->
% converse(converse(composition(composition(complement(one),top),A)))
% Rule [630]
% converse(composition(complement(one),composition(top,A))) <->
% composition(converse(A),composition(top,complement(one))) is composed into 
% [630]
% converse(composition(complement(one),composition(top,A))) <->
% converse(composition(composition(complement(one),top),A))
% New rule produced :
% [853]
% composition(converse(A),composition(top,complement(one))) ->
% converse(composition(composition(complement(one),top),A))
% Rule
% [631]
% composition(converse(A),composition(top,complement(one))) <->
% converse(composition(complement(one),composition(top,A))) collapsed.
% Rule
% [643]
% converse(composition(converse(A),composition(top,complement(one)))) <->
% composition(complement(one),composition(top,A)) collapsed.
% Rule
% [804]
% composition(converse(A),composition(top,complement(one))) <->
% converse(composition(top,composition(complement(one),A))) collapsed.
% Rule
% [836]
% converse(composition(converse(A),composition(top,complement(one)))) <->
% composition(top,composition(complement(one),A)) collapsed.
% Current number of equations to process: 915
% Current number of ordered equations: 0
% Current number of rules: 518
% Rule [735]
% composition(complement(one),composition(top,A)) <->
% converse(composition(converse(A),composition(complement(one),top))) is composed into 
% [735]
% composition(complement(one),composition(top,A)) <->
% converse(converse(composition(composition(top,complement(one)),A)))
% Rule [715]
% converse(composition(complement(one),composition(top,A))) <->
% composition(converse(A),composition(complement(one),top)) is composed into 
% [715]
% converse(composition(complement(one),composition(top,A))) <->
% converse(composition(composition(top,complement(one)),A))
% New rule produced :
% [854]
% composition(converse(A),composition(complement(one),top)) ->
% converse(composition(composition(top,complement(one)),A))
% Rule
% [716]
% composition(converse(A),composition(complement(one),top)) <->
% converse(composition(complement(one),composition(top,A))) collapsed.
% Rule
% [734]
% converse(composition(converse(A),composition(complement(one),top))) <->
% composition(complement(one),composition(top,A)) collapsed.
% Current number of equations to process: 913
% Current number of ordered equations: 0
% Current number of rules: 517
% Rule [835]
% composition(composition(A,top),complement(one)) <->
% converse(composition(composition(top,complement(one)),converse(A))) is composed into 
% [835]
% composition(composition(A,top),complement(one)) <->
% converse(converse(composition(A,composition(complement(one),top))))
% Rule [805]
% converse(composition(composition(A,top),complement(one))) <->
% composition(composition(top,complement(one)),converse(A)) is composed into 
% [805]
% converse(composition(composition(A,top),complement(one))) <->
% converse(composition(A,composition(complement(one),top)))
% New rule produced :
% [855]
% composition(composition(top,complement(one)),converse(A)) ->
% converse(composition(A,composition(complement(one),top)))
% Rule
% [806]
% composition(composition(top,complement(one)),converse(A)) <->
% converse(composition(composition(A,top),complement(one))) collapsed.
% Rule
% [834]
% converse(composition(composition(top,complement(one)),converse(A))) <->
% composition(composition(A,top),complement(one)) collapsed.
% Current number of equations to process: 914
% Current number of ordered equations: 0
% Current number of rules: 516
% New rule produced :
% [856]
% composition(top,composition(complement(A),top)) join composition(top,A) ->
% top
% Rule
% [486]
% composition(top,sk1) join composition(top,composition(complement(sk1),top))
% -> top collapsed.
% Current number of equations to process: 909
% Current number of ordered equations: 0
% Current number of rules: 516
% New rule produced :
% [857]
% composition(composition(top,A),top) join composition(complement(A),top) ->
% top
% Current number of equations to process: 908
% Current number of ordered equations: 0
% Current number of rules: 517
% New rule produced :
% [858]
% composition(top,complement(A)) join composition(composition(top,A),top) ->
% top
% Current number of equations to process: 906
% Current number of ordered equations: 0
% Current number of rules: 518
% New rule produced :
% [859]
% composition(top,composition(A,top)) join composition(top,complement(A)) ->
% top
% Current number of equations to process: 903
% Current number of ordered equations: 0
% Current number of rules: 519
% New rule produced :
% [860]
% composition(composition(top,complement(A)),top) join composition(A,top) ->
% top
% Current number of equations to process: 902
% Current number of ordered equations: 0
% Current number of rules: 520
% New rule produced :
% [861]
% composition(top,A) join composition(composition(top,complement(A)),top) ->
% top
% Rule
% [775]
% composition(top,sk1) join composition(composition(top,complement(sk1)),top)
% -> top collapsed.
% Current number of equations to process: 900
% Current number of ordered equations: 0
% Current number of rules: 520
% New rule produced :
% [862]
% sk1 join composition(composition(top,complement(composition(sk1,A))),top) ->
% top
% Current number of equations to process: 898
% Current number of ordered equations: 0
% Current number of rules: 521
% New rule produced :
% [863]
% converse(A) join composition(composition(top,A),top) ->
% composition(composition(top,A),top)
% Current number of equations to process: 893
% Current number of ordered equations: 0
% Current number of rules: 522
% New rule produced :
% [864]
% composition(composition(top,complement(oCputime limit exceeded (core dumped)
% 
% EOF
%------------------------------------------------------------------------------