%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : REL040-1 : TPTP v6.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n116.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 00:31:27 EDT 2014

% Result   : Timeout 300.05s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : REL040-1 : TPTP v6.0.0. Released v4.0.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n116.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 : Fri Jun  6 02:12:34 CDT 2014
% % CPUTime  : 300.05 
% Processing problem /tmp/CiME_48415_n116.star.cs.uiowa.edu
% #verbose 1;
% let F = signature "  join : AC; sk3,sk2,sk1,zero,top,one : constant;  converse : 1;  composition : 2;  meet : 2;  complement : 1;";
% let X = vars "A B C";
% let Axioms = equations F X "
% composition(composition(A,B),C) = composition(A,composition(B,C));
% A = complement(complement(A) join complement(B)) join complement(complement(A) join B);
% meet(A,B) = complement(complement(A) join complement(B));
% composition(A,one) = A;
% composition(A join B,C) = composition(A,C) join composition(B,C);
% converse(converse(A)) = A;
% converse(A join B) = converse(A) join converse(B);
% converse(composition(A,B)) = composition(converse(B),converse(A));
% composition(converse(A),complement(composition(A,B))) join complement(B) = complement(B);
% top = A join complement(A);
% zero = meet(A,complement(A));
% composition(converse(sk1),sk1) join one = one;
% ";
% 
% let s1 = status F "
% sk3 lr_lex;
% sk2 lr_lex;
% sk1 lr_lex;
% zero lr_lex;
% top lr_lex;
% converse lr_lex;
% one lr_lex;
% meet lr_lex;
% complement lr_lex;
% composition mul;
% join mul;
% ";
% 
% let p1 = precedence F "
% meet > composition > complement > converse > join > one > top > zero > sk1 > sk2 > sk3";
% 
% let s2 = status F "
% sk3 mul;
% sk2 mul;
% sk1 mul;
% zero mul;
% top mul;
% converse mul;
% one mul;
% composition mul;
% meet mul;
% complement mul;
% join mul;
% ";
% 
% let p2 = precedence F "
% meet > composition > complement > converse > join > one = top = zero = sk1 = sk2 = sk3";
% 
% let o_auto = AUTO Axioms;
% 
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 
% let Conjectures = equations F X " composition(sk1,meet(sk2,sk3)) = meet(composition(sk1,sk2),composition(sk1,sk3));"
% ;
% (*
% 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)),
% one join composition(converse(sk1),sk1) = one }
% (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(sk1,meet(sk2,sk3)) =
% meet(composition(sk1,sk2),composition(sk1,sk3)) }
% (1 equation(s))
% time is now on
% 
% Initializing completion ...
% New rule produced : [1] converse(converse(A)) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 12
% Current number of rules: 1
% New rule produced : [2] composition(A,one) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 11
% Current number of rules: 2
% New rule produced : [3] complement(A) join A -> top
% Current number of equations to process: 0
% Current number of ordered equations: 10
% Current number of rules: 3
% New rule produced : [4] meet(A,complement(A)) -> zero
% Current number of equations to process: 0
% Current number of ordered equations: 9
% Current number of rules: 4
% New rule produced : [5] one join composition(converse(sk1),sk1) -> one
% 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: 31
% Current number of ordered equations: 12
% 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: 31
% Current number of ordered equations: 11
% Current number of rules: 9
% New rule produced :
% [10] meet(A,B) -> complement(complement(A) join complement(B))
% Rule [4] meet(A,complement(A)) -> zero collapsed.
% The conjecture has been reduced. 
% Conjecture is now:
% composition(sk1,complement(complement(sk3) join complement(sk2))) = complement(
% complement(
% composition(sk1,sk3)) join 
% complement(
% composition(sk1,sk2)))
% 
% Current number of equations to process: 32
% Current number of ordered equations: 10
% Current number of rules: 9
% New rule produced : [11] complement(top) -> zero
% Current number of equations to process: 31
% Current number of ordered equations: 10
% 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: 31
% Current number of ordered equations: 9
% 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: 31
% Current number of ordered equations: 8
% 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: 31
% Current number of ordered equations: 7
% Current number of rules: 13
% New rule produced : [15] top join complement(complement(A)) -> top join A
% Current number of equations to process: 31
% Current number of ordered equations: 6
% Current number of rules: 14
% New rule produced : [16] top join composition(converse(sk1),sk1) -> top
% Current number of equations to process: 31
% 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: 31
% 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: 31
% 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: 31
% 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: 31
% 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: 31
% 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: 33
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced : [23] zero join top -> top
% Current number of equations to process: 39
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [24] one join complement(composition(converse(sk1),sk1)) -> top join one
% Current number of equations to process: 44
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [25] converse(one) join composition(converse(sk1),sk1) -> converse(one)
% Current number of equations to process: 43
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [26] composition(complement(B),A) join composition(B,A) -> composition(top,A)
% Current number of equations to process: 51
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [27] top join composition(converse(A),complement(composition(A,B))) -> top
% Current number of equations to process: 50
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [28] top join complement(A join B) join B -> top join complement(A)
% Current number of equations to process: 49
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [29]
% composition(A,converse(composition(B,C))) <->
% composition(composition(A,converse(C)),converse(B))
% Current number of equations to process: 48
% Current number of ordered equations: 1
% Current number of rules: 28
% New rule produced :
% [30]
% composition(composition(A,converse(C)),converse(B)) <->
% composition(A,converse(composition(B,C)))
% Current number of equations to process: 48
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [31]
% composition(converse(B),composition(converse(A),C)) <->
% composition(converse(composition(A,B)),C)
% Current number of equations to process: 47
% Current number of ordered equations: 1
% Current number of rules: 30
% New rule produced :
% [32]
% composition(converse(composition(A,B)),C) <->
% composition(converse(B),composition(converse(A),C))
% Current number of equations to process: 47
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [33] top join complement(complement(A join B) join B) -> top join A
% Current number of equations to process: 44
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [34]
% composition(A,composition(composition(B,C),V_3)) <->
% composition(composition(A,B),composition(C,V_3))
% Current number of equations to process: 43
% Current number of ordered equations: 1
% Current number of rules: 33
% New rule produced :
% [35]
% composition(composition(A,B),composition(C,V_3)) <->
% composition(A,composition(composition(B,C),V_3))
% Current number of equations to process: 43
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [36]
% composition(A,composition(composition(B,C),V_3)) <->
% composition(composition(composition(A,B),C),V_3)
% Current number of equations to process: 40
% Current number of ordered equations: 5
% Current number of rules: 35
% New rule produced :
% [37]
% composition(A,composition(B,composition(C,V_3))) <->
% composition(composition(A,composition(B,C)),V_3)
% Current number of equations to process: 40
% Current number of ordered equations: 4
% Current number of rules: 36
% New rule produced :
% [38]
% composition(A,composition(B,composition(C,V_3))) <->
% composition(composition(composition(A,B),C),V_3)
% Current number of equations to process: 40
% Current number of ordered equations: 3
% Current number of rules: 37
% New rule produced :
% [39]
% composition(composition(A,composition(B,C)),V_3) <->
% composition(A,composition(B,composition(C,V_3)))
% Current number of equations to process: 40
% Current number of ordered equations: 2
% Current number of rules: 38
% New rule produced :
% [40]
% composition(composition(composition(A,B),C),V_3) <->
% composition(A,composition(composition(B,C),V_3))
% Current number of equations to process: 40
% Current number of ordered equations: 1
% Current number of rules: 39
% New rule produced :
% [41]
% composition(composition(composition(A,B),C),V_3) <->
% composition(A,composition(B,composition(C,V_3)))
% Current number of equations to process: 40
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [42]
% composition(composition(A,composition(B,C)),V_3) <->
% composition(composition(A,B),composition(C,V_3))
% Current number of equations to process: 39
% Current number of ordered equations: 1
% Current number of rules: 41
% New rule produced :
% [43]
% composition(composition(A,B),composition(C,V_3)) <->
% composition(composition(A,composition(B,C)),V_3)
% Current number of equations to process: 39
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [44]
% composition(converse(A),complement(A)) join complement(one) ->
% complement(one)
% Current number of equations to process: 47
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [45]
% zero join composition(converse(A),complement(composition(A,top))) -> zero
% Current number of equations to process: 52
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [46] zero join complement(complement(A) join complement(A)) -> A
% Current number of equations to process: 80
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [47] top join complement(complement(A) join B) -> top join complement(B)
% Rule [33] top join complement(complement(A join B) join B) -> top join A
% collapsed.
% Current number of equations to process: 79
% Current number of ordered equations: 1
% Current number of rules: 45
% New rule produced : [48] top join A <-> top join complement(B)
% Rule [15] top join complement(complement(A)) -> top join A collapsed.
% Rule [16] top join composition(converse(sk1),sk1) -> top collapsed.
% Rule
% [27] top join composition(converse(A),complement(composition(A,B))) -> top
% collapsed.
% Rule [28] top join complement(A join B) join B -> top join complement(A)
% collapsed.
% Rule [47] top join complement(complement(A) join B) -> top join complement(B)
% collapsed.
% Current number of equations to process: 81
% Current number of ordered equations: 2
% Current number of rules: 41
% New rule produced : [49] top join complement(sk3) -> top
% Current number of equations to process: 80
% Current number of ordered equations: 2
% Current number of rules: 42
% Rule [48] top join A <-> top join complement(B) is composed into [48]
% top join A
% -> top
% New rule produced : [50] top join complement(B) -> top
% Rule [49] top join complement(sk3) -> top collapsed.
% Current number of equations to process: 79
% Current number of ordered equations: 1
% Current number of rules: 42
% New rule produced :
% [51] zero join complement(complement(complement(A)) join A) -> complement(A)
% Current number of equations to process: 78
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced : [52] complement(complement(A)) -> A
% Rule
% [51] zero join complement(complement(complement(A)) join A) -> complement(A)
% collapsed.
% Current number of equations to process: 77
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced : [53] zero join complement(A join A) -> complement(A)
% Rule [46] zero join complement(complement(A) join complement(A)) -> A
% collapsed.
% Current number of equations to process: 76
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [54]
% converse(composition(C,A join B)) ->
% converse(composition(C,A)) join converse(composition(C,B))
% Current number of equations to process: 74
% Current number of ordered equations: 1
% Current number of rules: 44
% New rule produced :
% [55]
% composition(converse(A),converse(B) join converse(C)) ->
% converse(composition(B,A)) join converse(composition(C,A))
% Current number of equations to process: 74
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [56]
% composition(A,complement(composition(converse(A),B))) join complement(B) ->
% complement(B)
% Current number of equations to process: 73
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [57]
% composition(one,A) join composition(composition(converse(sk1),sk1),A) ->
% composition(one,A)
% Current number of equations to process: 70
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [58]
% converse(complement(A join B)) join converse(A) join converse(B) ->
% converse(top)
% Current number of equations to process: 67
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced : [59] zero join complement(zero join complement(A)) -> A
% Current number of equations to process: 81
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [60]
% complement(complement(A) join B) join B <->
% complement(complement(B) join A) join A
% Current number of equations to process: 80
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [61] complement(zero join complement(A)) join complement(zero join A) -> top
% Current number of equations to process: 78
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced : [62] converse(top) join complement(converse(A)) -> top
% Current number of equations to process: 98
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [63] converse(complement(converse(A))) join A -> converse(top)
% Current number of equations to process: 97
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced : [64] converse(zero) join converse(top) -> converse(top)
% Current number of equations to process: 98
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced : [65] composition(converse(one),A) -> A
% Current number of equations to process: 107
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced : [66] converse(top) join converse(A) -> converse(top)
% Rule [64] converse(zero) join converse(top) -> converse(top) collapsed.
% Current number of equations to process: 140
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [67]
% converse(composition(converse(A),B)) <->
% composition(converse(composition(one,B)),A)
% Current number of equations to process: 144
% Current number of ordered equations: 1
% Current number of rules: 56
% New rule produced :
% [68]
% composition(converse(composition(one,B)),A) <->
% converse(composition(converse(A),B))
% Current number of equations to process: 144
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [69] composition(zero,A) join composition(top,A) -> composition(top,A)
% Current number of equations to process: 143
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [70]
% composition(A,converse(composition(B,converse(one)))) ->
% composition(A,converse(B))
% Current number of equations to process: 145
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [71]
% converse(composition(converse(composition(one,A)),B)) <->
% composition(converse(B),A)
% Current number of equations to process: 144
% Current number of ordered equations: 1
% Current number of rules: 60
% New rule produced :
% [72]
% composition(converse(B),A) <->
% converse(composition(converse(composition(one,A)),B))
% Current number of equations to process: 144
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [73]
% composition(A,composition(composition(one,B),C)) ->
% composition(A,composition(B,C))
% Current number of equations to process: 143
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [74]
% converse(composition(A,composition(B,converse(C)))) <->
% composition(C,converse(composition(A,B)))
% Current number of equations to process: 140
% Current number of ordered equations: 1
% Current number of rules: 63
% New rule produced :
% [75]
% composition(C,converse(composition(A,B))) <->
% converse(composition(A,composition(B,converse(C))))
% Current number of equations to process: 140
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [76]
% converse(composition(composition(converse(A),B),C)) <->
% composition(converse(composition(B,C)),A)
% Current number of equations to process: 139
% Current number of ordered equations: 1
% Current number of rules: 65
% New rule produced :
% [77]
% composition(converse(composition(B,C)),A) <->
% converse(composition(composition(converse(A),B),C))
% Current number of equations to process: 139
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [78]
% composition(A,converse(composition(B,converse(C)))) <->
% composition(composition(A,C),converse(B))
% Current number of equations to process: 138
% Current number of ordered equations: 1
% Current number of rules: 67
% New rule produced :
% [79]
% composition(composition(A,C),converse(B)) <->
% composition(A,converse(composition(B,converse(C))))
% Current number of equations to process: 138
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [80]
% converse(composition(C,converse(composition(A,B)))) <->
% composition(A,composition(B,converse(C)))
% Current number of equations to process: 136
% Current number of ordered equations: 3
% Current number of rules: 69
% New rule produced :
% [81]
% composition(A,composition(B,converse(C))) <->
% converse(composition(C,converse(composition(A,B))))
% Current number of equations to process: 136
% Current number of ordered equations: 2
% Current number of rules: 70
% New rule produced :
% [82]
% composition(B,composition(converse(A),C)) <->
% composition(converse(composition(A,converse(B))),C)
% Current number of equations to process: 136
% Current number of ordered equations: 1
% Current number of rules: 71
% New rule produced :
% [83]
% composition(converse(composition(A,converse(B))),C) <->
% composition(B,composition(converse(A),C))
% Current number of equations to process: 136
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [84]
% converse(composition(converse(composition(B,C)),A)) <->
% composition(composition(converse(A),B),C)
% Current number of equations to process: 134
% Current number of ordered equations: 3
% Current number of rules: 73
% New rule produced :
% [85]
% composition(A,converse(composition(converse(B),C))) <->
% composition(composition(A,converse(C)),B)
% Current number of equations to process: 134
% Current number of ordered equations: 2
% Current number of rules: 74
% New rule produced :
% [86]
% composition(composition(converse(A),B),C) <->
% converse(composition(converse(composition(B,C)),A))
% Current number of equations to process: 134
% Current number of ordered equations: 1
% Current number of rules: 75
% New rule produced :
% [87]
% composition(composition(A,converse(C)),B) <->
% composition(A,converse(composition(converse(B),C)))
% Current number of equations to process: 134
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [88]
% composition(converse(B),composition(A,C)) <->
% composition(converse(composition(converse(A),B)),C)
% Current number of equations to process: 133
% Current number of ordered equations: 1
% Current number of rules: 77
% New rule produced :
% [89]
% composition(converse(composition(converse(A),B)),C) <->
% composition(converse(B),composition(A,C))
% Current number of equations to process: 133
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [90]
% converse(one) join converse(complement(composition(converse(sk1),sk1))) ->
% converse(top)
% Current number of equations to process: 132
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [91] converse(one) join complement(composition(converse(sk1),sk1)) -> top
% Current number of equations to process: 139
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [92] composition(composition(converse(sk1),sk1),A) join A -> A
% Current number of equations to process: 141
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [93] converse(top) join complement(converse(A) join B) join B -> top
% Current number of equations to process: 140
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [94]
% converse(composition(C,composition(B,converse(A)))) <->
% composition(composition(A,converse(B)),converse(C))
% Current number of equations to process: 138
% Current number of ordered equations: 3
% Current number of rules: 83
% New rule produced :
% [95]
% converse(composition(composition(C,converse(B)),A)) <->
% composition(converse(A),composition(B,converse(C)))
% Current number of equations to process: 138
% Current number of ordered equations: 2
% Current number of rules: 84
% New rule produced :
% [96]
% composition(converse(A),composition(B,converse(C))) <->
% converse(composition(composition(C,converse(B)),A))
% Current number of equations to process: 138
% Current number of ordered equations: 1
% Current number of rules: 85
% New rule produced :
% [97]
% composition(composition(A,converse(B)),converse(C)) <->
% converse(composition(C,composition(B,converse(A))))
% Current number of equations to process: 138
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [98]
% converse(composition(C,composition(converse(B),A))) <->
% composition(composition(converse(A),B),converse(C))
% Current number of equations to process: 135
% Current number of ordered equations: 3
% Current number of rules: 87
% New rule produced :
% [99]
% converse(composition(composition(converse(C),B),A)) <->
% composition(converse(A),composition(converse(B),C))
% Current number of equations to process: 135
% Current number of ordered equations: 2
% Current number of rules: 88
% New rule produced :
% [100]
% composition(converse(A),composition(converse(B),C)) <->
% converse(composition(composition(converse(C),B),A))
% Current number of equations to process: 135
% Current number of ordered equations: 1
% Current number of rules: 89
% New rule produced :
% [101]
% composition(composition(converse(A),B),converse(C)) <->
% converse(composition(C,composition(converse(B),A)))
% Current number of equations to process: 135
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [102] converse(top) join composition(converse(sk1),sk1) -> converse(top)
% Current number of equations to process: 132
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [103] composition(top,A) join complement(composition(B,A)) -> top
% Current number of equations to process: 152
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [104]
% one join composition(complement(converse(sk1)),sk1) ->
% one join composition(top,sk1)
% Current number of equations to process: 155
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [105]
% composition(composition(A,converse(one)),converse(B)) ->
% composition(A,converse(B))
% Current number of equations to process: 169
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [106]
% converse(composition(composition(C,converse(B)),converse(A))) <->
% composition(A,composition(B,converse(C)))
% Current number of equations to process: 172
% Current number of ordered equations: 1
% Current number of rules: 95
% New rule produced :
% [107]
% composition(A,composition(B,converse(C))) <->
% converse(composition(composition(C,converse(B)),converse(A)))
% Current number of equations to process: 172
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [108]
% converse(composition(composition(converse(C),B),converse(A))) <->
% composition(A,composition(converse(B),C))
% Current number of equations to process: 171
% Current number of ordered equations: 1
% Current number of rules: 97
% New rule produced :
% [109]
% composition(A,composition(converse(B),C)) <->
% converse(composition(composition(converse(C),B),converse(A)))
% Current number of equations to process: 171
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [110]
% converse(composition(converse(C),composition(B,converse(A)))) <->
% composition(composition(A,converse(B)),C)
% Current number of equations to process: 170
% Current number of ordered equations: 1
% Current number of rules: 99
% New rule produced :
% [111]
% composition(composition(A,converse(B)),C) <->
% converse(composition(converse(C),composition(B,converse(A))))
% Current number of equations to process: 170
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [112]
% converse(composition(converse(C),composition(converse(B),A))) <->
% composition(composition(converse(A),B),C)
% Current number of equations to process: 169
% Current number of ordered equations: 1
% Current number of rules: 101
% New rule produced :
% [113]
% composition(composition(converse(A),B),C) <->
% converse(composition(converse(C),composition(converse(B),A)))
% Current number of equations to process: 169
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [114]
% converse(one) join composition(complement(converse(sk1)),sk1) ->
% converse(one) join composition(top,sk1)
% Current number of equations to process: 167
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [115]
% converse(composition(composition(A,B),converse(C))) <->
% composition(composition(C,converse(B)),converse(A))
% Current number of equations to process: 182
% Current number of ordered equations: 1
% Current number of rules: 104
% New rule produced :
% [116]
% composition(composition(C,converse(B)),converse(A)) <->
% converse(composition(composition(A,B),converse(C)))
% Current number of equations to process: 182
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [117]
% converse(composition(composition(A,converse(B)),converse(C))) <->
% composition(composition(C,B),converse(A))
% Current number of equations to process: 181
% Current number of ordered equations: 1
% Current number of rules: 106
% New rule produced :
% [118]
% composition(composition(C,B),converse(A)) <->
% converse(composition(composition(A,converse(B)),converse(C)))
% Current number of equations to process: 181
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [119]
% converse(composition(A,converse(composition(B,C)))) <->
% composition(B,converse(composition(A,converse(C))))
% Current number of equations to process: 197
% Current number of ordered equations: 1
% Current number of rules: 108
% New rule produced :
% [120]
% composition(B,converse(composition(A,converse(C)))) <->
% converse(composition(A,converse(composition(B,C))))
% Current number of equations to process: 197
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [121]
% converse(composition(A,converse(composition(B,converse(C))))) <->
% composition(B,converse(composition(A,C)))
% Current number of equations to process: 196
% Current number of ordered equations: 1
% Current number of rules: 110
% New rule produced :
% [122]
% composition(B,converse(composition(A,C))) <->
% converse(composition(A,converse(composition(B,converse(C)))))
% Current number of equations to process: 196
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [123]
% converse(composition(converse(composition(A,B)),C)) <->
% composition(converse(composition(converse(A),C)),B)
% Current number of equations to process: 211
% Current number of ordered equations: 1
% Current number of rules: 112
% New rule produced :
% [124]
% composition(converse(composition(converse(A),C)),B) <->
% converse(composition(converse(composition(A,B)),C))
% Current number of equations to process: 211
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [125]
% converse(composition(converse(composition(converse(A),B)),C)) <->
% composition(converse(composition(A,C)),B)
% Current number of equations to process: 210
% Current number of ordered equations: 1
% Current number of rules: 114
% New rule produced :
% [126]
% composition(converse(composition(A,C)),B) <->
% converse(composition(converse(composition(converse(A),B)),C))
% Current number of equations to process: 210
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [127]
% converse(composition(converse(A),composition(B,C))) <->
% composition(converse(C),composition(converse(B),A))
% Current number of equations to process: 230
% Current number of ordered equations: 1
% Current number of rules: 116
% New rule produced :
% [128]
% composition(converse(C),composition(converse(B),A)) <->
% converse(composition(converse(A),composition(B,C)))
% Current number of equations to process: 230
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [129]
% converse(composition(converse(A),composition(converse(B),C))) <->
% composition(converse(C),composition(B,A))
% Current number of equations to process: 231
% Current number of ordered equations: 1
% Current number of rules: 118
% New rule produced :
% [130]
% composition(converse(C),composition(B,A)) <->
% converse(composition(converse(A),composition(converse(B),C)))
% Current number of equations to process: 231
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [131]
% composition(A,complement(converse(A))) join complement(one) ->
% complement(one)
% Current number of equations to process: 752
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [132]
% converse(composition(converse(zero),top)) join complement(one) ->
% complement(one)
% Current number of equations to process: 751
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [133]
% complement(one) join complement(composition(converse(A),complement(A))) ->
% top
% Current number of equations to process: 753
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced : [134] zero join one -> one
% Current number of equations to process: 756
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [135]
% zero join composition(A,complement(composition(converse(A),top))) -> zero
% Current number of equations to process: 776
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [136]
% zero join complement(composition(converse(A),complement(composition(A,top))))
% -> top
% Current number of equations to process: 775
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [137] composition(top,A) join composition(B,A) -> composition(top,A)
% Rule [69] composition(zero,A) join composition(top,A) -> composition(top,A)
% collapsed.
% Current number of equations to process: 784
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced : [138] complement(zero) -> top
% Current number of equations to process: 786
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced : [139] zero join zero -> zero
% Current number of equations to process: 793
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced : [140] complement(complement(A join A) join A) -> zero
% Current number of equations to process: 803
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [141] complement(complement(A join A) join A join B) -> zero
% Current number of equations to process: 801
% Current number of ordered equations: 1
% Current number of rules: 129
% New rule produced :
% [142] complement(zero join A) join complement(B) join A -> top
% Current number of equations to process: 801
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced : [143] A join A <-> zero join A
% Current number of equations to process: 806
% Current number of ordered equations: 1
% Current number of rules: 131
% New rule produced : [144] zero join A <-> A join A
% Current number of equations to process: 806
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [145]
% converse(zero) join converse(complement(A join A)) -> converse(complement(A))
% Current number of equations to process: 814
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [146]
% converse(composition(converse(A),complement(A))) join complement(one) ->
% complement(one)
% Current number of equations to process: 813
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [147]
% composition(converse(A),complement(composition(A,complement(B)))) join B -> B
% Current number of equations to process: 812
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [148]
% complement(B join B) join complement(A) <->
% complement(A join A) join complement(B)
% Current number of equations to process: 811
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [149]
% complement(complement(A) join B) join complement(A join B) -> complement(B)
% Rule
% [14]
% complement(complement(A) join complement(B)) join complement(complement(A) join B)
% -> A collapsed.
% Rule
% [61] complement(zero join complement(A)) join complement(zero join A) -> top
% collapsed.
% Current number of equations to process: 820
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [150] composition(A,B join C) -> composition(A,B) join composition(A,C)
% Rule
% [54]
% converse(composition(C,A join B)) ->
% converse(composition(C,A)) join converse(composition(C,B)) collapsed.
% Rule
% [55]
% composition(converse(A),converse(B) join converse(C)) ->
% converse(composition(B,A)) join converse(composition(C,A)) collapsed.
% Current number of equations to process: 834
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [151]
% composition(A,complement(composition(converse(A),complement(B)))) join B -> B
% Current number of equations to process: 879
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [152]
% composition(converse(B),complement(composition(B,top))) join complement(A) ->
% complement(A)
% Current number of equations to process: 896
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [153]
% converse(composition(A,top)) join converse(composition(A,B)) ->
% converse(composition(A,top))
% Current number of equations to process: 895
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [154]
% converse(composition(A,composition(converse(sk1),sk1))) join converse(A) ->
% converse(A)
% Current number of equations to process: 894
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [155] converse(top) join complement(converse(A) join converse(B)) -> top
% Current number of equations to process: 911
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [156]
% converse(composition(converse(A),complement(A))) join converse(complement(one))
% -> converse(complement(one))
% Current number of equations to process: 932
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [157] complement(complement(A join B join B) join A join B) -> zero
% Current number of equations to process: 930
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [158]
% complement(composition(A,complement(composition(converse(A),B)))) join 
% complement(B) -> top
% Current number of equations to process: 929
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [159]
% composition(one,A) join complement(composition(composition(converse(sk1),sk1),A))
% -> top
% Current number of equations to process: 928
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [160]
% composition(one,A) join composition(converse(sk1),composition(sk1,A)) ->
% composition(one,A)
% Current number of equations to process: 927
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [161]
% complement(converse(complement(A join A)) join converse(A)) ->
% zero join complement(converse(top))
% Current number of equations to process: 925
% Current number of ordered equations: 0
% Current number of rules: 145
% Rule [161]
% complement(converse(complement(A join A)) join converse(A)) ->
% zero join complement(converse(top)) is composed into [161]
% complement(
% converse(complement(
% A join A)) join 
% converse(A)) ->
% zero join complement(top)
% Rule [90]
% converse(one) join converse(complement(composition(converse(sk1),sk1)))
% -> converse(top) is composed into [90]
% converse(one) join converse(complement(
% composition(
% converse(sk1),sk1)))
% -> top
% Rule [63] converse(complement(converse(A))) join A -> converse(top) is composed into 
% [63] converse(complement(converse(A))) join A -> top
% Rule [58]
% converse(complement(A join B)) join converse(A) join converse(B) ->
% converse(top) is composed into [58]
% 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 : [162] converse(top) -> top
% Rule [62] converse(top) join complement(converse(A)) -> top collapsed.
% Rule [66] converse(top) join converse(A) -> converse(top) collapsed.
% Rule [93] converse(top) join complement(converse(A) join B) join B -> top
% collapsed.
% Rule [102] converse(top) join composition(converse(sk1),sk1) -> converse(top)
% collapsed.
% Rule [155] converse(top) join complement(converse(A) join converse(B)) -> top
% collapsed.
% Current number of equations to process: 926
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced : [163] complement(zero join A) join A join B -> top
% Rule [142] complement(zero join A) join complement(B) join A -> top
% collapsed.
% Current number of equations to process: 936
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced : [164] zero join complement(zero join A) -> complement(A)
% Rule [59] zero join complement(zero join complement(A)) -> A collapsed.
% Current number of equations to process: 937
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced : [165] complement(zero join A) join A -> top
% Rule [163] complement(zero join A) join A join B -> top collapsed.
% Current number of equations to process: 937
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [166] composition(converse(B),complement(composition(B,top))) join A -> A
% Rule
% [45]
% zero join composition(converse(A),complement(composition(A,top))) -> zero
% collapsed.
% Rule
% [152]
% composition(converse(B),complement(composition(B,top))) join complement(A) ->
% complement(A) collapsed.
% Current number of equations to process: 936
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [167]
% converse(zero) join converse(complement(zero join complement(A))) ->
% converse(A)
% Current number of equations to process: 935
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced : [168] zero join A join A -> zero join A
% Current number of equations to process: 1052
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [169]
% complement(zero join complement(A)) join complement(B) ->
% complement(B) join A
% Current number of equations to process: 1050
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [170] converse(complement(converse(zero))) join complement(A) -> top
% Current number of equations to process: 1144
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced : [171] converse(one) -> one
% Rule [25] converse(one) join composition(converse(sk1),sk1) -> converse(one)
% collapsed.
% Rule [65] composition(converse(one),A) -> A collapsed.
% Rule
% [70]
% composition(A,converse(composition(B,converse(one)))) ->
% composition(A,converse(B)) collapsed.
% Rule
% [90]
% converse(one) join converse(complement(composition(converse(sk1),sk1))) ->
% top collapsed.
% Rule
% [91] converse(one) join complement(composition(converse(sk1),sk1)) -> top
% collapsed.
% Rule
% [105]
% composition(composition(A,converse(one)),converse(B)) ->
% composition(A,converse(B)) collapsed.
% Rule
% [114]
% converse(one) join composition(complement(converse(sk1)),sk1) ->
% converse(one) join composition(top,sk1) collapsed.
% Current number of equations to process: 1162
% Current number of ordered equations: 0
% Current number of rules: 138
% Rule [72]
% composition(converse(B),A) <->
% converse(composition(converse(composition(one,A)),B)) is composed into 
% [72] composition(converse(B),A) <-> converse(composition(converse(A),B))
% Rule [67]
% converse(composition(converse(A),B)) <->
% composition(converse(composition(one,B)),A) is composed into [67]
% converse(
% composition(
% converse(A),B))
% <->
% composition(
% converse(B),A)
% New rule produced : [172] composition(one,A) -> A
% Rule [22] composition(A,composition(one,B)) -> composition(A,B) collapsed.
% Rule
% [57]
% composition(one,A) join composition(composition(converse(sk1),sk1),A) ->
% composition(one,A) collapsed.
% Rule
% [68]
% composition(converse(composition(one,B)),A) <->
% converse(composition(converse(A),B)) collapsed.
% Rule
% [71]
% converse(composition(converse(composition(one,A)),B)) <->
% composition(converse(B),A) collapsed.
% Rule
% [73]
% composition(A,composition(composition(one,B),C)) ->
% composition(A,composition(B,C)) collapsed.
% Rule
% [159]
% composition(one,A) join complement(composition(composition(converse(sk1),sk1),A))
% -> top collapsed.
% Rule
% [160]
% composition(one,A) join composition(converse(sk1),composition(sk1,A)) ->
% composition(one,A) collapsed.
% Current number of equations to process: 1163
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [173] one join converse(complement(composition(converse(sk1),sk1))) -> top
% Current number of equations to process: 1162
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [174] composition(converse(sk1),composition(sk1,A)) join A -> A
% Current number of equations to process: 1161
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [175] composition(complement(one),A) join A -> composition(top,A)
% Current number of equations to process: 1160
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [176] complement(composition(composition(converse(sk1),sk1),A)) join A -> top
% Current number of equations to process: 1160
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [177]
% converse(complement(converse(composition(A,B)))) join composition(top,B) ->
% top
% Current number of equations to process: 1244
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [178]
% converse(complement(converse(complement(A join A)))) join complement(A) ->
% top
% Current number of equations to process: 1243
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [179]
% composition(B,converse(composition(converse(C),A))) <->
% composition(converse(composition(A,converse(B))),C)
% Current number of equations to process: 1242
% Current number of ordered equations: 1
% Current number of rules: 139
% New rule produced :
% [180]
% composition(converse(composition(A,converse(B))),C) <->
% composition(B,converse(composition(converse(C),A)))
% Current number of equations to process: 1242
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [181]
% converse(composition(composition(A,converse(B)),C)) <->
% composition(composition(converse(C),B),converse(A))
% Current number of equations to process: 1455
% Current number of ordered equations: 1
% Current number of rules: 141
% New rule produced :
% [182]
% composition(composition(converse(C),B),converse(A)) <->
% converse(composition(composition(A,converse(B)),C))
% Current number of equations to process: 1455
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [183]
% converse(composition(A,composition(converse(B),C))) <->
% composition(converse(C),composition(B,converse(A)))
% Current number of equations to process: 1568
% Current number of ordered equations: 1
% Current number of rules: 143
% New rule produced :
% [184]
% composition(converse(C),composition(B,converse(A))) <->
% converse(composition(A,composition(converse(B),C)))
% Current number of equations to process: 1568
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [185]
% converse(composition(converse(C),composition(B,converse(A)))) <->
% composition(A,composition(converse(B),C))
% Current number of equations to process: 2328
% Current number of ordered equations: 1
% Current number of rules: 145
% New rule produced :
% [186]
% composition(A,composition(converse(B),C)) <->
% converse(composition(converse(C),composition(B,converse(A))))
% Current number of equations to process: 2328
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [187]
% converse(composition(composition(converse(C),B),converse(A))) <->
% composition(composition(A,converse(B)),C)
% Current number of equations to process: 2327
% Current number of ordered equations: 1
% Current number of rules: 147
% New rule produced :
% [188]
% composition(composition(A,converse(B)),C) <->
% converse(composition(composition(converse(C),B),converse(A)))
% Current number of equations to process: 2327
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [189]
% converse(composition(composition(converse(sk1),sk1),A)) join converse(A) ->
% converse(A)
% Current number of equations to process: 2324
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [190]
% converse(composition(composition(A,converse(sk1)),sk1)) join converse(A) ->
% converse(A)
% Current number of equations to process: 2323
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [191]
% converse(composition(top,A)) join converse(complement(composition(B,A))) ->
% top
% Current number of equations to process: 3038
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [192]
% composition(top,converse(A)) join complement(converse(composition(A,B))) ->
% top
% Current number of equations to process: 3037
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [193]
% composition(top,A) join complement(composition(B,composition(C,A))) -> top
% Current number of equations to process: 3036
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [194]
% converse(composition(A,top)) join complement(composition(B,converse(A))) ->
% top
% Current number of equations to process: 3035
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [195]
% composition(top,A) join complement(converse(composition(converse(A),B))) ->
% top
% Current number of equations to process: 3034
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [196]
% one join converse(composition(complement(converse(sk1)),sk1)) ->
% one join converse(composition(top,sk1))
% Current number of equations to process: 3082
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [197]
% complement(one) join complement(composition(A,complement(converse(A)))) ->
% top
% Current number of equations to process: 2788
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [198]
% complement(one) join complement(converse(composition(converse(zero),top))) ->
% top
% Current number of equations to process: 2864
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [199]
% converse(complement(one)) join composition(converse(zero),top) ->
% converse(complement(one))
% Current number of equations to process: 2863
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [200] composition(top,zero) join complement(one) -> complement(one)
% Current number of equations to process: 2866
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [201]
% converse(complement(composition(converse(zero),top))) join complement(one) ->
% top
% Current number of equations to process: 2865
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [202] complement(one) join complement(composition(top,zero)) -> top
% Current number of equations to process: 2880
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [203]
% complement(one) join complement(converse(composition(converse(A),complement(A))))
% -> top
% Current number of equations to process: 2887
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced : [204] one join converse(zero) -> one
% Current number of equations to process: 2948
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced : [205] composition(zero,A) join A -> A
% Current number of equations to process: 2950
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced : [206] one join converse(complement(one)) -> top
% Current number of equations to process: 2953
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [207] one join converse(complement(converse(zero))) -> top
% Current number of equations to process: 2962
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [208] one join complement(A join A) -> one join complement(A)
% Current number of equations to process: 2964
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [209] one join complement(zero join complement(A)) -> one join A
% Current number of equations to process: 2963
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [210]
% zero join composition(A,complement(converse(composition(top,A)))) -> zero
% Current number of equations to process: 2978
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [211]
% zero join complement(composition(A,complement(composition(converse(A),top))))
% -> top
% Current number of equations to process: 2979
% Current number of ordered equations: 0
% Current number of rules: 171
% Rule [161]
% complement(converse(complement(A join A)) join converse(A)) ->
% zero join complement(top) is composed into [161]
% complement(converse(complement(
% A join A)) join 
% converse(A)) ->
% complement(top)
% Rule [143] A join A <-> zero join A is composed into [143] A join A -> A
% New rule produced : [212] zero join A -> A
% Rule [23] zero join top -> top collapsed.
% Rule [53] zero join complement(A join A) -> complement(A) collapsed.
% Rule [134] zero join one -> one collapsed.
% Rule
% [135]
% zero join composition(A,complement(composition(converse(A),top))) -> zero
% collapsed.
% Rule
% [136]
% zero join complement(composition(converse(A),complement(composition(A,top))))
% -> top collapsed.
% Rule [139] zero join zero -> zero collapsed.
% Rule [144] zero join A <-> A join A collapsed.
% Rule [164] zero join complement(zero join A) -> complement(A) collapsed.
% Rule [165] complement(zero join A) join A -> top collapsed.
% Rule
% [167]
% converse(zero) join converse(complement(zero join complement(A))) ->
% converse(A) collapsed.
% Rule [168] zero join A join A -> zero join A collapsed.
% Rule
% [169]
% complement(zero join complement(A)) join complement(B) ->
% complement(B) join A collapsed.
% Rule [209] one join complement(zero join complement(A)) -> one join A
% collapsed.
% Rule
% [210]
% zero join composition(A,complement(converse(composition(top,A)))) -> zero
% collapsed.
% Rule
% [211]
% zero join complement(composition(A,complement(composition(converse(A),top))))
% -> top collapsed.
% Current number of equations to process: 2991
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [213] composition(A,complement(composition(converse(A),top))) -> zero
% Current number of equations to process: 2989
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [214] composition(A,complement(converse(composition(top,A)))) -> zero
% Current number of equations to process: 2988
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced : [215] converse(zero) join converse(A) -> converse(A)
% Rule
% [145]
% converse(zero) join converse(complement(A join A)) -> converse(complement(A))
% collapsed.
% Current number of equations to process: 2987
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [216]
% complement(composition(converse(A),complement(composition(A,top)))) -> top
% Current number of equations to process: 2986
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [217] composition(converse(zero),top) join complement(one) -> complement(one)
% Current number of equations to process: 3083
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [218] complement(one) join complement(composition(converse(zero),top)) -> top
% Current number of equations to process: 3082
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [219]
% composition(top,A) join composition(B,composition(C,A)) -> composition(top,A)
% Current number of equations to process: 3082
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [220]
% converse(composition(converse(A),B)) join composition(top,A) ->
% composition(top,A)
% Current number of equations to process: 3081
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [221] converse(composition(top,zero)) join complement(one) -> complement(one)
% Current number of equations to process: 3101
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [222]
% converse(composition(A,complement(converse(A)))) join complement(one) ->
% complement(one)
% Current number of equations to process: 3103
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [223]
% converse(complement(one)) join composition(converse(A),complement(A)) ->
% converse(complement(one))
% Current number of equations to process: 3108
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [224]
% converse(complement(composition(converse(A),complement(A)))) join complement(one)
% -> top
% Current number of equations to process: 3107
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [225]
% converse(composition(top,A)) join converse(composition(B,A)) ->
% converse(composition(top,A))
% Current number of equations to process: 3224
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [226]
% converse(composition(A,B)) join composition(top,converse(A)) ->
% composition(top,converse(A))
% Current number of equations to process: 3223
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [227]
% converse(composition(A,top)) join composition(B,converse(A)) <->
% composition(top,converse(A))
% Current number of equations to process: 3222
% Current number of ordered equations: 1
% Current number of rules: 171
% Rule [227]
% converse(composition(A,top)) join composition(B,converse(A)) <->
% composition(top,converse(A)) is composed into [227]
% converse(composition(A,top)) join 
% composition(B,converse(A))
% <->
% converse(composition(A,top)) join 
% composition(sk3,converse(A))
% New rule produced :
% [228]
% composition(top,converse(A)) <->
% converse(composition(A,top)) join composition(B,converse(A))
% Rule
% [192]
% composition(top,converse(A)) join complement(converse(composition(A,B))) ->
% top collapsed.
% Rule
% [226]
% converse(composition(A,B)) join composition(top,converse(A)) ->
% composition(top,converse(A)) collapsed.
% Current number of equations to process: 3223
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [229] composition(converse(A),complement(composition(A,top))) -> zero
% Rule
% [166] composition(converse(B),complement(composition(B,top))) join A -> A
% collapsed.
% Rule
% [216]
% complement(composition(converse(A),complement(composition(A,top)))) -> top
% collapsed.
% Current number of equations to process: 3323
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [230] complement(complement(A join B) join complement(B)) -> B
% Current number of equations to process: 3376
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [231] complement(complement(complement(A) join B) join A) -> complement(A)
% Current number of equations to process: 3375
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [232]
% complement(converse(A) join complement(converse(complement(A)))) ->
% complement(converse(A))
% Current number of equations to process: 3424
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [233]
% complement(converse(complement(A)) join complement(converse(A))) ->
% complement(converse(complement(A)))
% Current number of equations to process: 3435
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [234]
% complement(complement(complement(A join B) join B) join A) -> complement(A)
% Current number of equations to process: 3474
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [235]
% complement(complement(one) join complement(composition(converse(sk1),sk1)))
% -> composition(converse(sk1),sk1)
% Current number of equations to process: 3473
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced : [236] complement(A join B) join B -> complement(A) join B
% Rule
% [60]
% complement(complement(A) join B) join B <->
% complement(complement(B) join A) join A collapsed.
% Rule [140] complement(complement(A join A) join A) -> zero collapsed.
% Rule [141] complement(complement(A join A) join A join B) -> zero collapsed.
% Rule [157] complement(complement(A join B join B) join A join B) -> zero
% collapsed.
% Rule
% [234]
% complement(complement(complement(A join B) join B) join A) -> complement(A)
% collapsed.
% Current number of equations to process: 3584
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [237]
% complement(complement(converse(complement(converse(A)))) join A) ->
% complement(A)
% Current number of equations to process: 3604
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [238]
% complement(converse(complement(converse(A))) join complement(A)) ->
% complement(converse(complement(converse(A))))
% Current number of equations to process: 3620
% Current number of ordered equations: 1
% Current number of rules: 173
% New rule produced :
% [239]
% converse(complement(converse(complement(A join B)))) join complement(B) ->
% top
% Rule
% [178]
% converse(complement(converse(complement(A join A)))) join complement(A) ->
% top collapsed.
% Current number of equations to process: 3620
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [240] complement(A join B) join complement(A) -> complement(A)
% Rule [230] complement(complement(A join B) join complement(B)) -> B
% collapsed.
% Current number of equations to process: 3700
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [241] composition(A,top) join composition(A,B) -> composition(A,top)
% Current number of equations to process: 3780
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [242]
% composition(A,complement(B)) join composition(A,B) -> composition(A,top)
% Current number of equations to process: 3784
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [243] composition(A,composition(converse(sk1),sk1)) join A -> A
% Current number of equations to process: 3793
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [244]
% composition(A,complement(composition(converse(sk1),sk1))) join A ->
% composition(A,top)
% Current number of equations to process: 3831
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [245]
% complement(converse(complement(converse(complement(A)))) join A) ->
% complement(converse(complement(converse(complement(A)))))
% Current number of equations to process: 3974
% Current number of ordered equations: 1
% Current number of rules: 178
% New rule produced :
% [246]
% complement(complement(converse(complement(converse(A))) join B) join A) ->
% complement(A)
% Current number of equations to process: 3974
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [247]
% one join complement(composition(A,complement(converse(A)))) ->
% complement(composition(A,complement(converse(A))))
% Current number of equations to process: 3973
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [248]
% one join complement(converse(composition(converse(zero),top))) ->
% complement(converse(composition(converse(zero),top)))
% Current number of equations to process: 3972
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [249]
% complement(composition(top,A)) join complement(composition(B,A)) ->
% complement(composition(B,A))
% Current number of equations to process: 3971
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [250]
% converse(composition(A,top)) join complement(converse(composition(A,B))) ->
% top
% Current number of equations to process: 4131
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [251]
% converse(composition(A,top)) join converse(A) -> converse(composition(A,top))
% Current number of equations to process: 4134
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [252] converse(composition(converse(A),top)) -> composition(top,A)
% Rule
% [132]
% converse(composition(converse(zero),top)) join complement(one) ->
% complement(one) collapsed.
% Rule
% [198]
% complement(one) join complement(converse(composition(converse(zero),top))) ->
% top collapsed.
% Rule
% [248]
% one join complement(converse(composition(converse(zero),top))) ->
% complement(converse(composition(converse(zero),top))) collapsed.
% Current number of equations to process: 4151
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [253]
% one join complement(composition(top,zero)) ->
% complement(composition(top,zero))
% Current number of equations to process: 4150
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [254]
% converse(composition(A,top)) join converse(complement(composition(A,B))) ->
% top
% Current number of equations to process: 4154
% Current number of ordered equations: 0
% Current number of rules: 184
% Rule [228]
% composition(top,converse(A)) <->
% converse(composition(A,top)) join composition(B,converse(A)) is composed into 
% [228] composition(top,converse(A)) -> converse(composition(A,top))
% New rule produced :
% [255]
% converse(composition(A,top)) join composition(B,converse(A)) ->
% converse(composition(A,top))
% Rule
% [227]
% converse(composition(A,top)) join composition(B,converse(A)) <->
% converse(composition(A,top)) join composition(sk3,converse(A)) collapsed.
% Current number of equations to process: 4173
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [256]
% converse(composition(top,zero)) join converse(complement(one)) ->
% converse(complement(one))
% Current number of equations to process: 4347
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [257] converse(complement(converse(A) join converse(B))) join A join B -> top
% Current number of equations to process: 4353
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [258]
% composition(converse(complement(converse(B))),A) join composition(B,A) ->
% composition(top,A)
% Current number of equations to process: 4352
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [259]
% converse(complement(composition(A,converse(B)))) join composition(B,converse(A))
% -> top
% Current number of equations to process: 4351
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [260]
% converse(complement(composition(converse(A),B))) join composition(converse(B),A)
% -> top
% Current number of equations to process: 4350
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [261]
% converse(complement(converse(composition(converse(A),complement(A))))) join 
% complement(one) -> top
% Current number of equations to process: 4349
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [262]
% one join composition(composition(converse(sk1),sk1),composition(converse(sk1),sk1))
% -> one
% Current number of equations to process: 4346
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [263]
% composition(complement(composition(converse(sk1),sk1)),A) join A ->
% composition(top,A) join A
% Current number of equations to process: 4345
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [264]
% converse(complement(converse(composition(composition(converse(sk1),sk1),A)))) join A
% -> top
% Current number of equations to process: 4344
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [265]
% converse(composition(A,complement(converse(A)))) join converse(complement(one))
% -> converse(complement(one))
% Current number of equations to process: 4339
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [266]
% converse(complement(converse(composition(A,complement(converse(A)))))) join 
% complement(one) -> top
% Current number of equations to process: 4338
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [267]
% converse(complement(one)) join converse(complement(composition(converse(A),
% complement(A)))) -> top
% Current number of equations to process: 4335
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [268]
% complement(composition(converse(A),complement(composition(A,complement(B))))) join B
% -> top
% Current number of equations to process: 4330
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [269]
% complement(converse(A) join complement(converse(complement(A)) join B)) ->
% complement(converse(A))
% Current number of equations to process: 4328
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [270]
% complement(one join complement(composition(converse(A),complement(A)))) ->
% composition(converse(A),complement(A))
% Current number of equations to process: 4324
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [271]
% composition(A,converse(complement(B))) join composition(A,converse(B)) ->
% composition(A,top)
% Current number of equations to process: 4323
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [272]
% composition(A,converse(complement(converse(B)))) join composition(A,B) ->
% composition(A,top)
% Current number of equations to process: 4322
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [273]
% complement(composition(A,complement(composition(converse(A),complement(B))))) join B
% -> top
% Current number of equations to process: 4321
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [274]
% composition(A,complement(converse(composition(converse(complement(B)),A)))) join B
% -> B
% Current number of equations to process: 4320
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [275]
% converse(A) join complement(converse(composition(A,composition(converse(sk1),sk1))))
% -> top
% Current number of equations to process: 4318
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [276]
% converse(complement(composition(A,composition(converse(sk1),sk1)))) join 
% converse(A) -> top
% Current number of equations to process: 4317
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [277]
% converse(complement(one)) join complement(converse(composition(converse(A),
% complement(A)))) -> top
% Current number of equations to process: 4316
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [278]
% converse(complement(one)) join composition(top,zero) ->
% converse(complement(one))
% Current number of equations to process: 4360
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [279]
% complement(composition(converse(A),complement(composition(A,B)))) join 
% complement(B) -> top
% Current number of equations to process: 4419
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [280] composition(converse(A),top) -> converse(composition(top,A))
% Rule
% [199]
% converse(complement(one)) join composition(converse(zero),top) ->
% converse(complement(one)) collapsed.
% Rule
% [201]
% converse(complement(composition(converse(zero),top))) join complement(one) ->
% top collapsed.
% Rule [213] composition(A,complement(composition(converse(A),top))) -> zero
% collapsed.
% Rule
% [217] composition(converse(zero),top) join complement(one) -> complement(one)
% collapsed.
% Rule
% [218] complement(one) join complement(composition(converse(zero),top)) -> top
% collapsed.
% Rule [252] converse(composition(converse(A),top)) -> composition(top,A)
% collapsed.
% Current number of equations to process: 4535
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [281] complement(one) join complement(converse(composition(top,zero))) -> top
% Current number of equations to process: 4560
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [282]
% composition(A,converse(composition(B,top))) <->
% composition(composition(A,top),converse(B))
% Current number of equations to process: 4558
% Current number of ordered equations: 2
% Current number of rules: 205
% New rule produced :
% [283]
% composition(composition(A,converse(B)),top) ->
% composition(A,converse(composition(top,B)))
% Current number of equations to process: 4558
% Current number of ordered equations: 1
% Current number of rules: 206
% New rule produced :
% [284]
% composition(composition(A,top),converse(B)) <->
% composition(A,converse(composition(B,top)))
% Current number of equations to process: 4558
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [285]
% composition(converse(A),composition(top,B)) <->
% composition(converse(composition(top,A)),B)
% Current number of equations to process: 4556
% Current number of ordered equations: 2
% Current number of rules: 208
% New rule produced :
% [286]
% composition(top,composition(converse(A),B)) ->
% composition(converse(composition(A,top)),B)
% Current number of equations to process: 4556
% Current number of ordered equations: 1
% Current number of rules: 209
% New rule produced :
% [287]
% composition(converse(composition(top,A)),B) <->
% composition(converse(A),composition(top,B))
% Current number of equations to process: 4556
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced : [288] converse(complement(converse(zero))) -> top
% Rule [170] converse(complement(converse(zero))) join complement(A) -> top
% collapsed.
% Rule [207] one join converse(complement(converse(zero))) -> top collapsed.
% Current number of equations to process: 4555
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [289] converse(complement(one)) join complement(one) -> complement(one)
% Current number of equations to process: 4557
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [290] converse(complement(A)) join complement(converse(zero)) -> top
% Current number of equations to process: 4556
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced : [291] composition(top,A) join complement(A) -> top
% Current number of equations to process: 4557
% Current number of ordered equations: 0
% Current number of rules: 212
% Rule [263]
% composition(complement(composition(converse(sk1),sk1)),A) join A ->
% composition(top,A) join A is composed into [263]
% composition(complement(
% composition(
% converse(sk1),sk1)),A) join A
% -> composition(top,A)
% New rule produced : [292] composition(top,A) join A -> composition(top,A)
% Current number of equations to process: 4558
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [293]
% converse(complement(converse(composition(top,zero)))) join complement(one) ->
% top
% Current number of equations to process: 4556
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [294] composition(top,complement(composition(top,complement(A)))) join A -> A
% Current number of equations to process: 4555
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [295]
% composition(top,complement(composition(top,A))) join complement(A) ->
% complement(A)
% Current number of equations to process: 4552
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [296]
% converse(composition(composition(B,top),converse(A))) <->
% composition(composition(A,top),converse(B))
% Current number of equations to process: 4547
% Current number of ordered equations: 1
% Current number of rules: 217
% New rule produced :
% [297]
% composition(composition(A,top),converse(B)) <->
% converse(composition(composition(B,top),converse(A)))
% Current number of equations to process: 4547
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [298]
% converse(composition(B,converse(composition(A,top)))) <->
% composition(A,converse(composition(B,top)))
% Current number of equations to process: 4545
% Current number of ordered equations: 1
% Current number of rules: 219
% New rule produced :
% [299]
% composition(A,converse(composition(B,top))) <->
% converse(composition(B,converse(composition(A,top))))
% Current number of equations to process: 4545
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [300]
% converse(composition(converse(composition(top,B)),A)) <->
% composition(converse(composition(top,A)),B)
% Current number of equations to process: 4543
% Current number of ordered equations: 1
% Current number of rules: 221
% New rule produced :
% [301]
% composition(converse(composition(top,A)),B) <->
% converse(composition(converse(composition(top,B)),A))
% Current number of equations to process: 4543
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced :
% [302]
% converse(composition(converse(B),composition(top,A))) <->
% composition(converse(A),composition(top,B))
% Current number of equations to process: 4540
% Current number of ordered equations: 1
% Current number of rules: 223
% New rule produced :
% [303]
% composition(converse(A),composition(top,B)) <->
% converse(composition(converse(B),composition(top,A)))
% Current number of equations to process: 4540
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [304] complement(composition(converse(sk1),composition(sk1,A))) join A -> top
% Current number of equations to process: 4567
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced :
% [305] converse(complement(converse(A))) join composition(top,A) -> top
% Current number of equations to process: 4597
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced : [306] composition(top,top) join complement(A) -> top
% Current number of equations to process: 4604
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced : [307] composition(top,top) -> top
% Rule [306] composition(top,top) join complement(A) -> top collapsed.
% Current number of equations to process: 4613
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced : [308] composition(top,complement(A)) join A -> top
% Current number of equations to process: 4613
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced :
% [309] converse(composition(A,top)) join converse(complement(A)) -> top
% Current number of equations to process: 4633
% Current number of ordered equations: 1
% Current number of rules: 229
% New rule produced :
% [310] converse(composition(complement(A),top)) join converse(A) -> top
% Current number of equations to process: 4633
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced :
% [311]
% one join composition(top,complement(composition(converse(sk1),sk1))) -> top
% Current number of equations to process: 4642
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [312]
% composition(top,composition(complement(one),A)) join A -> composition(top,A)
% Current number of equations to process: 4710
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced :
% [313]
% converse(composition(complement(one),A)) join converse(A) ->
% converse(composition(top,A))
% Current number of equations to process: 4709
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced :
% [314]
% complement(composition(top,complement(composition(top,A)))) join complement(A)
% -> top
% Current number of equations to process: 4713
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced :
% [315] one join converse(complement(one join A)) join converse(A) -> top
% Current number of equations to process: 4711
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced :
% [316]
% composition(top,complement(composition(A,B))) join composition(top,B) -> top
% Current number of equations to process: 4706
% Current number of ordered equations: 1
% Current number of rules: 236
% New rule produced :
% [317]
% composition(top,composition(top,A)) join complement(composition(B,A)) -> top
% Current number of equations to process: 4706
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced :
% [318]
% composition(top,composition(top,A)) join composition(B,A) ->
% composition(top,A)
% Current number of equations to process: 4705
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced :
% [319]
% converse(complement(composition(converse(A),B))) join composition(top,A) ->
% top
% Current number of equations to process: 4770
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced :
% [320]
% complement(one join complement(converse(complement(composition(converse(sk1),sk1)))))
% -> complement(one)
% Current number of equations to process: 4771
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [321]
% converse(composition(converse(sk1),composition(sk1,A))) join converse(A) ->
% converse(A)
% Current number of equations to process: 4770
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced :
% [322]
% converse(composition(A,converse(complement(one)))) join converse(A) ->
% converse(composition(A,top))
% Current number of equations to process: 4769
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced :
% [323]
% converse(composition(top,A)) join complement(converse(composition(B,A))) ->
% top
% Current number of equations to process: 4826
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced :
% [324] composition(composition(A,converse(sk1)),sk1) join A -> A
% Current number of equations to process: 2292
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [325]
% converse(complement(converse(composition(A,B)))) join composition(A,top) ->
% top
% Current number of equations to process: 2391
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [326]
% converse(complement(composition(A,converse(B)))) join composition(B,top) ->
% top
% Current number of equations to process: 2390
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [327] converse(composition(top,A)) join converse(complement(A)) -> top
% Current number of equations to process: 2430
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [328] converse(composition(A,top)) join complement(converse(A)) -> top
% Current number of equations to process: 2680
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [329] complement(one) join complement(composition(A,zero)) -> top
% Rule [202] complement(one) join complement(composition(top,zero)) -> top
% collapsed.
% Current number of equations to process: 2882
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [330] composition(A,zero) join complement(one) -> complement(one)
% Rule [200] composition(top,zero) join complement(one) -> complement(one)
% collapsed.
% Current number of equations to process: 2883
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [331]
% complement(one) join complement(converse(composition(A,complement(converse(A)))))
% -> top
% Current number of equations to process: 2916
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced :
% [332] complement(one) join complement(converse(complement(one))) -> top
% Current number of equations to process: 2956
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced : [333] one join complement(converse(zero)) -> top
% Current number of equations to process: 2972
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced : [334] composition(converse(zero),A) join A -> A
% Current number of equations to process: 2973
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced : [335] composition(A,converse(zero)) join A -> A
% Current number of equations to process: 2991
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced :
% [336]
% complement(one) join complement(converse(zero)) -> complement(converse(zero))
% Current number of equations to process: 2994
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced : [337] complement(composition(zero,A)) join A -> top
% Current number of equations to process: 3001
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [338] converse(complement(converse(composition(zero,A)))) join A -> top
% Current number of equations to process: 3000
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [339] converse(composition(zero,A)) join converse(A) -> converse(A)
% Current number of equations to process: 3013
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced : [340] one join composition(zero,converse(zero)) -> one
% Current number of equations to process: 3055
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced : [341] composition(zero,composition(zero,A)) join A -> A
% Current number of equations to process: 3054
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [342] one join composition(zero,composition(converse(sk1),sk1)) -> one
% Current number of equations to process: 3053
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced : [343] complement(converse(complement(one))) -> one
% Rule [332] complement(one) join complement(converse(complement(one))) -> top
% collapsed.
% Current number of equations to process: 3071
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced :
% [344] one join converse(composition(complement(one),top)) -> top
% Current number of equations to process: 3073
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced :
% [345] composition(converse(complement(one)),A) join A -> composition(top,A)
% Current number of equations to process: 3072
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced :
% [346]
% complement(converse(complement(one)) join A) ->
% complement(complement(one) join A)
% Current number of equations to process: 3071
% Current number of ordered equations: 0
% Current number of rules: 263
% New rule produced :
% [347] composition(A,converse(complement(one))) join A -> composition(A,top)
% Current number of equations to process: 3070
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced :
% [348] converse(composition(A,converse(zero))) join converse(A) -> converse(A)
% Current number of equations to process: 3069
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced :
% [349]
% complement(composition(zero,A)) join complement(A) ->
% complement(composition(zero,A))
% Current number of equations to process: 3068
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced :
% [350]
% one join converse(composition(zero,composition(converse(sk1),sk1))) -> one
% Current number of equations to process: 3067
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [351]
% complement(one join A) join complement(converse(zero)) ->
% complement(converse(zero))
% Current number of equations to process: 3066
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced :
% [352]
% complement(composition(zero,complement(A))) join A ->
% complement(composition(zero,complement(A)))
% Current number of equations to process: 3065
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [353] composition(complement(one),zero) -> composition(top,zero)
% Current number of equations to process: 3068
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [354] composition(converse(sk1),composition(sk1,zero)) -> zero
% Current number of equations to process: 3067
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced : [355] composition(zero,zero) -> zero
% Current number of equations to process: 3068
% Current number of ordered equations: 0
% Current number of rules: 272
% New rule produced :
% [356] composition(zero,B) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 3066
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [357] composition(A,zero) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 3065
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced :
% [358]
% converse(composition(zero,composition(converse(sk1),sk1))) -> converse(zero)
% Rule
% [350]
% one join converse(composition(zero,composition(converse(sk1),sk1))) -> one
% collapsed.
% Current number of equations to process: 3106
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced : [359] converse(A) join complement(converse(zero)) -> top
% Rule [290] converse(complement(A)) join complement(converse(zero)) -> top
% collapsed.
% Current number of equations to process: 3109
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced : [360] converse(zero) join A -> A
% Rule [204] one join converse(zero) -> one collapsed.
% Rule [215] converse(zero) join converse(A) -> converse(A) collapsed.
% Current number of equations to process: 3109
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [361]
% one join composition(complement(one),converse(zero)) ->
% one join converse(composition(zero,top))
% Current number of equations to process: 3106
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced :
% [362]
% composition(zero,complement(A join B)) join complement(B) -> complement(B)
% Current number of equations to process: 3105
% Current number of ordered equations: 0
% Current number of rules: 275
% New rule produced :
% [363]
% composition(composition(converse(sk1),sk1),composition(zero,A)) join A -> A
% Current number of equations to process: 3106
% Current number of ordered equations: 0
% Current number of rules: 276
% New rule produced :
% [364]
% composition(composition(zero,A),B) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 3104
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced :
% [365]
% composition(A,composition(zero,B)) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 3103
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced :
% [366]
% composition(composition(A,B),complement(converse(composition(top,B)))) ->
% composition(A,zero)
% Current number of equations to process: 3101
% Current number of ordered equations: 0
% Current number of rules: 279
% New rule produced :
% [367]
% composition(B,composition(complement(converse(composition(top,B))),A)) ->
% composition(zero,A)
% Current number of equations to process: 3100
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced :
% [368]
% complement(A join B) join complement(composition(zero,A)) ->
% complement(composition(zero,A))
% Current number of equations to process: 3112
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced :
% [369]
% composition(top,complement(converse(composition(top,complement(one))))) ->
% complement(converse(composition(top,complement(one))))
% Current number of equations to process: 3108
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced :
% [370] composition(top,composition(top,A)) -> composition(top,A)
% Rule
% [317]
% composition(top,composition(top,A)) join complement(composition(B,A)) -> top
% collapsed.
% Rule
% [318]
% composition(top,composition(top,A)) join composition(B,A) ->
% composition(top,A) collapsed.
% Current number of equations to process: 3240
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced :
% [371] converse(complement(composition(top,zero))) join complement(one) -> top
% Current number of equations to process: 3354
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced :
% [372]
% one join complement(converse(composition(top,zero))) ->
% complement(converse(composition(top,zero)))
% Current number of equations to process: 3372
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced :
% [373] converse(complement(composition(A,zero))) join complement(one) -> top
% Rule
% [371] converse(complement(composition(top,zero))) join complement(one) -> top
% collapsed.
% Current number of equations to process: 3377
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced :
% [374]
% converse(complement(one)) join composition(A,complement(converse(A))) ->
% converse(complement(one))
% Current number of equations to process: 3461
% Current number of ordered equations: 0
% Current number of rules: 284
% New rule produced :
% [375]
% converse(complement(composition(A,complement(converse(A))))) join complement(one)
% -> top
% Current number of equations to process: 3460
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced :
% [376]
% converse(composition(top,A)) join composition(converse(A),B) ->
% converse(composition(top,A))
% Current number of equations to process: 3479
% Current number of ordered equations: 0
% Current number of rules: 286
% New rule produced :
% [377]
% converse(composition(top,zero)) join composition(top,complement(one)) ->
% composition(top,complement(one))
% Current number of equations to process: 3478
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [378]
% converse(complement(one)) join complement(composition(converse(A),complement(A)))
% -> top
% Current number of equations to process: 3481
% Current number of ordered equations: 0
% Current number of rules: 288
% New rule produced : [379] converse(complement(one)) -> complement(one)
% Rule
% [156]
% converse(composition(converse(A),complement(A))) join converse(complement(one))
% -> converse(complement(one)) collapsed.
% Rule [206] one join converse(complement(one)) -> top collapsed.
% Rule
% [223]
% converse(complement(one)) join composition(converse(A),complement(A)) ->
% converse(complement(one)) collapsed.
% Rule
% [256]
% converse(composition(top,zero)) join converse(complement(one)) ->
% converse(complement(one)) collapsed.
% Rule
% [265]
% converse(composition(A,complement(converse(A)))) join converse(complement(one))
% -> converse(complement(one)) collapsed.
% Rule
% [267]
% converse(complement(one)) join converse(complement(composition(converse(A),
% complement(A)))) -> top
% collapsed.
% Rule
% [277]
% converse(complement(one)) join complement(converse(composition(converse(A),
% complement(A)))) -> top
% collapsed.
% Rule
% [278]
% converse(complement(one)) join composition(top,zero) ->
% converse(complement(one)) collapsed.
% Rule [289] converse(complement(one)) join complement(one) -> complement(one)
% collapsed.
% Rule
% [322]
% converse(composition(A,converse(complement(one)))) join converse(A) ->
% converse(composition(A,top)) collapsed.
% Rule [343] complement(converse(complement(one))) -> one collapsed.
% Rule
% [345] composition(converse(complement(one)),A) join A -> composition(top,A)
% collapsed.
% Rule
% [346]
% complement(converse(complement(one)) join A) ->
% complement(complement(one) join A) collapsed.
% Rule
% [347] composition(A,converse(complement(one))) join A -> composition(A,top)
% collapsed.
% Rule
% [374]
% converse(complement(one)) join composition(A,complement(converse(A))) ->
% converse(complement(one)) collapsed.
% Rule
% [378]
% converse(complement(one)) join complement(composition(converse(A),complement(A)))
% -> top collapsed.
% Current number of equations to process: 3555
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [380] composition(A,complement(one)) join A -> composition(A,top)
% Current number of equations to process: 3553
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced :
% [381]
% converse(composition(A,complement(one))) join converse(A) ->
% converse(composition(A,top))
% Current number of equations to process: 3552
% Current number of ordered equations: 0
% Current number of rules: 275
% New rule produced :
% [382]
% one join complement(composition(converse(A),complement(A))) ->
% complement(composition(converse(A),complement(A)))
% Rule
% [270]
% complement(one join complement(composition(converse(A),complement(A)))) ->
% composition(converse(A),complement(A)) collapsed.
% Current number of equations to process: 3551
% Current number of ordered equations: 0
% Current number of rules: 275
% New rule produced :
% [383]
% converse(composition(A,converse(B))) join composition(B,top) ->
% composition(B,top)
% Current number of equations to process: 3661
% Current number of ordered equations: 0
% Current number of rules: 276
% New rule produced :
% [384]
% converse(composition(top,A)) join converse(A) -> converse(composition(top,A))
% Current number of equations to process: 3731
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced :
% [385] converse(composition(A,zero)) join complement(one) -> complement(one)
% Rule
% [221] converse(composition(top,zero)) join complement(one) -> complement(one)
% collapsed.
% Current number of equations to process: 3743
% Current number of ordered equations: 0
% Current number of rules: 277
% Rule [353] composition(complement(one),zero) -> composition(top,zero) is composed into 
% [353] composition(complement(one),zero) -> zero
% New rule produced : [386] composition(top,zero) -> zero
% Rule
% [253]
% one join complement(composition(top,zero)) ->
% complement(composition(top,zero)) collapsed.
% Rule
% [281] complement(one) join complement(converse(composition(top,zero))) -> top
% collapsed.
% Rule
% [293]
% converse(complement(converse(composition(top,zero)))) join complement(one) ->
% top collapsed.
% Rule
% [372]
% one join complement(converse(composition(top,zero))) ->
% complement(converse(composition(top,zero))) collapsed.
% Rule
% [377]
% converse(composition(top,zero)) join composition(top,complement(one)) ->
% composition(top,complement(one)) collapsed.
% Current number of equations to process: 3764
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced : [387] complement(converse(zero)) -> top
% Rule [288] converse(complement(converse(zero))) -> top collapsed.
% Rule [333] one join complement(converse(zero)) -> top collapsed.
% Rule
% [336]
% complement(one) join complement(converse(zero)) -> complement(converse(zero))
% collapsed.
% Rule
% [351]
% complement(one join A) join complement(converse(zero)) ->
% complement(converse(zero)) collapsed.
% Rule [359] converse(A) join complement(converse(zero)) -> top collapsed.
% Current number of equations to process: 3763
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced : [388] complement(complement(A) join B) join A -> A
% Rule
% [231] complement(complement(complement(A) join B) join A) -> complement(A)
% collapsed.
% Current number of equations to process: 3800
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [389]
% composition(composition(A,converse(B)),complement(composition(B,top))) ->
% composition(A,zero)
% Current number of equations to process: 3799
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [390]
% composition(converse(B),composition(complement(composition(B,top)),A)) ->
% composition(zero,A)
% Current number of equations to process: 3798
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced :
% [391] converse(A) join complement(converse(complement(A))) -> converse(A)
% Rule
% [232]
% complement(converse(A) join complement(converse(complement(A)))) ->
% complement(converse(A)) collapsed.
% Current number of equations to process: 3799
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced :
% [392]
% converse(complement(A)) join complement(converse(A)) ->
% converse(complement(A))
% Rule
% [233]
% complement(converse(complement(A)) join complement(converse(A))) ->
% complement(converse(complement(A))) collapsed.
% Current number of equations to process: 3800
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced :
% [393]
% composition(converse(complement(composition(B,top))),composition(B,A)) ->
% composition(converse(zero),A)
% Current number of equations to process: 3801
% Current number of ordered equations: 0
% Current number of rules: 272
% New rule produced :
% [394]
% composition(complement(converse(A)),complement(composition(A,top))) ->
% composition(top,complement(composition(A,top)))
% Current number of equations to process: 3800
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [395]
% composition(converse(composition(B,A)),complement(composition(B,top))) ->
% composition(converse(A),zero)
% Current number of equations to process: 3799
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced :
% [396]
% complement(one) join complement(composition(converse(sk1),sk1)) ->
% complement(composition(converse(sk1),sk1))
% Rule
% [235]
% complement(complement(one) join complement(composition(converse(sk1),sk1)))
% -> composition(converse(sk1),sk1) collapsed.
% Current number of equations to process: 3799
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced :
% [397] complement(converse(complement(converse(A)))) join A -> A
% Rule
% [237]
% complement(complement(converse(complement(converse(A)))) join A) ->
% complement(A) collapsed.
% Current number of equations to process: 3877
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced :
% [398]
% converse(complement(converse(A))) join complement(A) ->
% converse(complement(converse(A)))
% Rule
% [238]
% complement(converse(complement(converse(A))) join complement(A)) ->
% complement(converse(complement(converse(A)))) collapsed.
% Current number of equations to process: 3876
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced :
% [399] complement(converse(complement(converse(A))) join B) join A -> A
% Rule
% [246]
% complement(complement(converse(complement(converse(A))) join B) join A) ->
% complement(A) collapsed.
% Current number of equations to process: 4019
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced :
% [400]
% one join complement(converse(complement(composition(converse(sk1),sk1)))) ->
% one
% Rule
% [320]
% complement(one join complement(converse(complement(composition(converse(sk1),sk1)))))
% -> complement(one) collapsed.
% Current number of equations to process: 4198
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced :
% [401]
% converse(A) join complement(converse(complement(A)) join B) -> converse(A)
% Rule
% [269]
% complement(converse(A) join complement(converse(complement(A)) join B)) ->
% complement(converse(A)) collapsed.
% Current number of equations to process: 4197
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced :
% [402]
% complement(composition(complement(one),A)) join A ->
% complement(composition(top,A)) join A
% Current number of equations to process: 4196
% Current number of ordered equations: 0
% Current number of rules: 275
% New rule produced :
% [403] complement(composition(zero,A) join B) join A -> complement(B) join A
% Current number of equations to process: 4194
% Current number of ordered equations: 0
% Current number of rules: 276
% New rule produced :
% [404]
% one join complement(complement(composition(converse(sk1),sk1)) join A) -> one
% Current number of equations to process: 4191
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced :
% [405]
% converse(complement(A)) join complement(converse(A) join B) ->
% converse(complement(A))
% Current number of equations to process: 4190
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced :
% [406]
% converse(complement(converse(complement(complement(A) join B)))) join A ->
% top
% Current number of equations to process: 4261
% Current number of ordered equations: 0
% Current number of rules: 279
% New rule produced :
% [407]
% converse(complement(converse(A))) join complement(A join B) ->
% converse(complement(converse(A)))
% Current number of equations to process: 4268
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced :
% [408]
% one join complement(composition(complement(converse(sk1)),sk1)) ->
% one join complement(composition(top,sk1))
% Current number of equations to process: 4267
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced :
% [409]
% one join complement(composition(converse(sk1),sk1) join A) ->
% one join complement(A)
% Current number of equations to process: 4266
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced :
% [410]
% converse(complement(A join B)) join converse(B) ->
% converse(complement(A)) join converse(B)
% Rule
% [58] converse(complement(A join B)) join converse(A) join converse(B) -> top
% collapsed.
% Rule
% [161]
% complement(converse(complement(A join A)) join converse(A)) ->
% complement(top) collapsed.
% Rule [315] one join converse(complement(one join A)) join converse(A) -> top
% collapsed.
% Current number of equations to process: 4265
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced :
% [411]
% converse(complement(A)) join complement(converse(complement(A join B))) ->
% top
% Current number of equations to process: 4277
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced :
% [412]
% converse(complement(converse(complement(composition(top,A))))) join complement(A)
% -> top
% Current number of equations to process: 4368
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced :
% [413]
% converse(complement(converse(complement(A)))) join complement(composition(zero,A))
% -> top
% Current number of equations to process: 4421
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced :
% [414] complement(composition(top,A)) join complement(A) -> complement(A)
% Current number of equations to process: 4629
% Current number of ordered equations: 0
% Current number of rules: 284
% New rule produced :
% [415] composition(A,top) join complement(composition(A,B)) -> top
% Current number of equations to process: 4724
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced : [416] composition(A,top) join A -> composition(A,top)
% Current number of equations to process: 4729
% Current number of ordered equations: 0
% Current number of rules: 286
% New rule produced :
% [417]
% composition(top,composition(complement(one),top)) ->
% composition(complement(one),top)
% Current number of equations to process: 4825
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [418]
% complement(composition(top,A) join B) join complement(A) -> complement(A)
% Current number of equations to process: 4857
% Current number of ordered equations: 0
% Current number of rules: 288
% New rule produced :
% [419]
% one join composition(converse(sk1),complement(sk1)) ->
% one join converse(composition(top,sk1))
% Current number of equations to process: 4999
% Current number of ordered equations: 0
% Current number of rules: 289
% New rule produced :
% [420]
% composition(A,converse(A)) join complement(one) ->
% composition(A,top) join complement(one)
% Current number of equations to process: 2550
% Current number of ordered equations: 0
% Current number of rules: 290
% New rule produced :
% [421] composition(zero,complement(A)) join A -> composition(zero,top) join A
% Current number of equations to process: 2606
% Current number of ordered equations: 0
% Current number of rules: 291
% New rule produced :
% [422]
% composition(zero,top) join complement(A) <->
% composition(zero,A) join complement(A)
% Current number of equations to process: 2605
% Current number of ordered equations: 1
% Current number of rules: 292
% New rule produced :
% [423]
% composition(zero,A) join complement(A) <->
% composition(zero,top) join complement(A)
% Current number of equations to process: 2605
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced :
% [424]
% composition(converse(A),composition(A,top)) -> converse(composition(top,A))
% Current number of equations to process: 2610
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced :
% [425] complement(composition(A,composition(converse(sk1),sk1))) join A -> top
% Current number of equations to process: 2679
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced :
% [426] composition(zero,composition(converse(sk1),sk1)) -> zero
% Rule [342] one join composition(zero,composition(converse(sk1),sk1)) -> one
% collapsed.
% Rule
% [358]
% converse(composition(zero,composition(converse(sk1),sk1))) -> converse(zero)
% collapsed.
% Current number of equations to process: 2766
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced :
% [427]
% composition(converse(sk1),sk1) join complement(one) ->
% composition(top,sk1) join complement(one)
% Current number of equations to process: 2794
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced :
% [428]
% converse(complement(A join B)) join converse(complement(A)) ->
% converse(complement(A))
% Current number of equations to process: 2795
% Current number of ordered equations: 0
% Current number of rules: 296
% New rule produced :
% [429]
% composition(composition(A,B),C) join composition(A,top) -> composition(A,top)
% Current number of equations to process: 2793
% Current number of ordered equations: 0
% Current number of rules: 297
% New rule produced :
% [430]
% composition(zero,composition(A,B)) join composition(A,top) ->
% composition(A,top)
% Current number of equations to process: 2792
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [431]
% composition(converse(A),A) join complement(one) ->
% converse(composition(top,A)) join complement(one)
% Rule
% [427]
% composition(converse(sk1),sk1) join complement(one) ->
% composition(top,sk1) join complement(one) collapsed.
% Current number of equations to process: 2792
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [432]
% converse(composition(top,sk1)) join complement(one) ->
% composition(top,sk1) join complement(one)
% Current number of equations to process: 2791
% Current number of ordered equations: 0
% Current number of rules: 299
% New rule produced :
% [433]
% converse(composition(A,top)) join composition(top,complement(converse(A))) ->
% top
% Current number of equations to process: 2789
% Current number of ordered equations: 0
% Current number of rules: 300
% New rule produced :
% [434]
% converse(composition(converse(sk1),composition(sk1,converse(A)))) join A -> A
% Current number of equations to process: 2788
% Current number of ordered equations: 0
% Current number of rules: 301
% New rule produced :
% [435]
% composition(composition(zero,A),composition(converse(sk1),sk1)) join A -> A
% Current number of equations to process: 2787
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced :
% [436]
% converse(composition(top,sk1)) join complement(composition(converse(sk1),sk1))
% -> top
% Current number of equations to process: 2816
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced : [437] composition(sk1,top) join complement(sk1) -> top
% Current number of equations to process: 2821
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced : [438] composition(A,top) join complement(A) -> top
% Rule [437] composition(sk1,top) join complement(sk1) -> top collapsed.
% Current number of equations to process: 2830
% Current number of ordered equations: 1
% Current number of rules: 304
% New rule produced : [439] composition(complement(A),top) join A -> top
% Current number of equations to process: 2830
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced :
% [440]
% one join composition(complement(composition(converse(sk1),sk1)),top) -> top
% Current number of equations to process: 2827
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced :
% [441] converse(complement(converse(A))) join composition(A,top) -> top
% Current number of equations to process: 2845
% Current number of ordered equations: 1
% Current number of rules: 307
% New rule produced :
% [442] converse(composition(top,complement(converse(A)))) join A -> top
% Current number of equations to process: 2845
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [443] converse(composition(top,complement(A))) join converse(A) -> top
% Current number of equations to process: 2854
% Current number of ordered equations: 0
% Current number of rules: 309
% New rule produced :
% [444]
% composition(top,A) join composition(complement(composition(B,A)),top) -> top
% Current number of equations to process: 2869
% Current number of ordered equations: 1
% Current number of rules: 310
% New rule produced :
% [445]
% composition(composition(top,A),top) join complement(composition(B,A)) -> top
% Current number of equations to process: 2869
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced :
% [446]
% one join converse(composition(top,complement(composition(converse(sk1),sk1))))
% -> top
% Current number of equations to process: 2955
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [447] composition(zero,A) join composition(A,top) -> composition(A,top)
% Current number of equations to process: 2983
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [448]
% composition(zero,complement(composition(converse(sk1),sk1))) ->
% composition(zero,top)
% Current number of equations to process: 2984
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [449] complement(composition(A,top)) join complement(A) -> complement(A)
% Current number of equations to process: 3055
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced :
% [450]
% complement(composition(A,top) join B) join complement(A) -> complement(A)
% Current number of equations to process: 3062
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced :
% [451]
% converse(complement(converse(complement(composition(A,top))))) join complement(A)
% -> top
% Current number of equations to process: 3063
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced :
% [452]
% composition(top,A) join complement(A join B) ->
% composition(top,A) join complement(B)
% Current number of equations to process: 3062
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced :
% [453]
% composition(top,complement(A)) join complement(A join B) ->
% composition(top,complement(A))
% Current number of equations to process: 3060
% Current number of ordered equations: 0
% Current number of rules: 319
% New rule produced :
% [454]
% complement(composition(A,top)) join complement(composition(A,B)) ->
% complement(composition(A,B))
% Current number of equations to process: 3059
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [455]
% composition(top,A) join composition(complement(one),top) ->
% composition(complement(one),top) join A
% Current number of equations to process: 3057
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced :
% [456]
% composition(A,top) join complement(A join B) ->
% composition(A,top) join complement(B)
% Current number of equations to process: 3053
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced :
% [457]
% composition(complement(A),top) join complement(A join B) ->
% composition(complement(A),top)
% Current number of equations to process: 3051
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced :
% [458]
% converse(complement(converse(complement(A)))) join A ->
% converse(complement(converse(complement(A))))
% Rule
% [245]
% complement(converse(complement(converse(complement(A)))) join A) ->
% complement(converse(complement(converse(complement(A))))) collapsed.
% Current number of equations to process: 3051
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced :
% [459] converse(composition(complement(converse(A)),top)) join A -> top
% Current number of equations to process: 3461
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [460]
% complement(converse(composition(A,top))) join complement(converse(A)) ->
% complement(converse(A))
% Current number of equations to process: 3541
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced :
% [461]
% one join converse(composition(complement(composition(converse(sk1),sk1)),top))
% -> top
% Current number of equations to process: 3540
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [462] one join converse(complement(one join converse(A))) join A -> top
% Current number of equations to process: 3944
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced :
% [463]
% composition(converse(complement(A)),complement(composition(A,top))) ->
% composition(top,complement(composition(A,top)))
% Current number of equations to process: 4030
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [464]
% converse(complement(composition(A,converse(zero)))) join converse(A) -> top
% Current number of equations to process: 4529
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [465] composition(complement(composition(converse(sk1),sk1)),zero) -> zero
% Current number of equations to process: 1635
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [466]
% composition(top,complement(composition(converse(sk1),sk1))) <->
% composition(complement(composition(converse(sk1),sk1)),top)
% Current number of equations to process: 1721
% Current number of ordered equations: 1
% Current number of rules: 331
% New rule produced :
% [467]
% composition(complement(composition(converse(sk1),sk1)),top) <->
% composition(top,complement(composition(converse(sk1),sk1)))
% Current number of equations to process: 1721
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced :
% [468]
% complement(composition(top,complement(composition(top,complement(A))))) join A
% -> top
% Current number of equations to process: 2208
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [469]
% converse(composition(complement(converse(complement(composition(A,top)))),A))
% -> converse(composition(top,A))
% Current number of equations to process: 2637
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced :
% [470] composition(complement(composition(complement(A),top)),top) join A -> A
% Current number of equations to process: 3269
% Current number of ordered equations: 0
% Current number of rules: 335
% New rule produced :
% [471]
% converse(composition(composition(A,top),top)) -> converse(composition(A,top))
% Current number of equations to process: 4269
% Current number of ordered equations: 0
% Current number of rules: 336
% New rule produced :
% [472] composition(composition(A,top),top) -> composition(A,top)
% Rule
% [471]
% converse(composition(composition(A,top),top)) -> converse(composition(A,top))
% collapsed.
% Current number of equations to process: 4326
% Current number of ordered equations: 0
% Current number of rules: 336
% New rule produced :
% [473] composition(top,A) join composition(complement(A),top) -> top
% Current number of equations to process: 4771
% Current number of ordered equations: 1
% Current number of rules: 337
% New rule produced :
% [474] composition(composition(top,A),top) join complement(A) -> top
% Current number of equations to process: 4771
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced :
% [475]
% composition(composition(top,A),top) join A ->
% composition(composition(top,A),top)
% Current number of equations to process: 4914
% Current number of ordered equations: 0
% Current number of rules: 339
% New rule produced :
% [476] composition(B,complement(composition(top,complement(A)))) join A -> A
% Rule
% [294] composition(top,complement(composition(top,complement(A)))) join A -> A
% collapsed.
% Current number of equations to process: 4995
% Current number of ordered equations: 0
% Current number of rules: 339
% New rule produced :
% [477]
% converse(composition(top,A)) join composition(complement(converse(A)),top) ->
% top
% Current number of equations to process: 2752
% Current number of ordered equations: 0
% Current number of rules: 340
% New rule produced :
% [478]
% composition(composition(top,A),B) join complement(composition(A,B)) -> top
% Current number of equations to process: 2751
% Current number of ordered equations: 0
% Current number of rules: 341
% New rule produced :
% [479]
% composition(top,A) join complement(complement(A) join B) ->
% composition(top,A)
% Current number of equations to process: 2750
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced :
% [480]
% complement(composition(A,complement(composition(top,complement(B))))) join B
% -> top
% Rule
% [468]
% complement(composition(top,complement(composition(top,complement(A))))) join A
% -> top collapsed.
% Current number of equations to process: 2747
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced :
% [481]
% composition(B,complement(composition(top,A))) join complement(A) ->
% complement(A)
% Rule
% [295]
% composition(top,complement(composition(top,A))) join complement(A) ->
% complement(A) collapsed.
% Current number of equations to process: 2764
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced :
% [482]
% complement(composition(A,complement(composition(top,B)))) join complement(B)
% -> top
% Rule
% [314]
% complement(composition(top,complement(composition(top,A)))) join complement(A)
% -> top collapsed.
% Current number of equations to process: 2785
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced :
% [483] converse(composition(top,A)) join complement(converse(A)) -> top
% Current number of equations to process: 4021
% Current number of ordered equations: 0
% Current number of rules: 343
% New rule produced :
% [484] composition(top,complement(composition(zero,A))) join A -> top
% Current number of equations to process: 4215
% Current number of ordered equations: 0
% Current number of rules: 344
% New rule produced :
% [485] complement(composition(top,complement(A))) join A -> A
% Current number of equations to process: 4242
% Current number of ordered equations: 0
% Current number of rules: 345
% New rule produced :
% [486] composition(top,complement(A)) join composition(A,top) -> top
% Current number of equations to process: 4264
% Current number of ordered equations: 1
% Current number of rules: 346
% New rule produced :
% [487] composition(composition(top,complement(A)),top) join A -> top
% Current number of equations to process: 4264
% Current number of ordered equations: 0
% Current number of rules: 347
% New rule produced :
% [488]
% composition(composition(A,top),composition(top,B)) ->
% composition(A,composition(top,B))
% Current number of equations to process: 4312
% Current number of ordered equations: 0
% Current number of rules: 348
% New rule produced :
% [489] complement(composition(top,complement(A)) join B) join A -> A
% Current number of equations to process: 4310
% Current number of ordered equations: 0
% Current number of rules: 349
% New rule produced :
% [490]
% converse(A) join complement(converse(composition(complement(A),top))) ->
% converse(A)
% Current number of equations to process: 4491
% Current number of ordered equations: 0
% Current number of rules: 350
% New rule produced :
% [491]
% composition(composition(top,complement(one)),A) join A -> composition(top,A)
% Current number of equations to process: 4550
% Current number of ordered equations: 0
% Current number of rules: 351
% New rule produced :
% [492]
% converse(composition(complement(converse(A)),top)) join composition(top,A) ->
% top
% Current number of equations to process: 4674
% Current number of ordered equations: 0
% Current number of rules: 352
% New rule produced :
% [493]
% composition(top,A) join complement(converse(complement(converse(A)))) ->
% composition(top,A)
% Current number of equations to process: 4673
% Current number of ordered equations: 0
% Current number of rules: 353
% New rule produced :
% [494]
% converse(complement(converse(A))) join composition(composition(top,A),top) ->
% top
% Current number of equations to process: 4671
% Current number of ordered equations: 1
% Current number of rules: 354
% New rule produced :
% [495]
% converse(composition(top,complement(converse(A)))) join composition(top,A) ->
% top
% Current number of equations to process: 4671
% Current number of ordered equations: 0
% Current number of rules: 355
% New rule produced :
% [496]
% composition(top,complement(composition(A,B))) join composition(A,top) -> top
% Current number of equations to process: 4666
% Current number of ordered equations: 0
% Current number of rules: 356
% New rule produced :
% [497]
% converse(composition(complement(A),top)) join converse(composition(A,top)) ->
% top
% Current number of equations to process: 4662
% Current number of ordered equations: 0
% Current number of rules: 357
% New rule produced :
% [498]
% converse(complement(A)) join complement(converse(composition(A,top))) ->
% converse(complement(A))
% Current number of equations to process: 4661
% Current number of ordered equations: 0
% Current number of rules: 358
% New rule produced :
% [499]
% converse(composition(top,composition(A,top))) join converse(complement(A)) ->
% top
% Current number of equations to process: 4659
% Current number of ordered equations: 1
% Current number of rules: 359
% New rule produced :
% [500]
% converse(composition(top,complement(A))) join converse(composition(A,top)) ->
% top
% Current number of equations to process: 4659
% Current number of ordered equations: 0
% Current number of rules: 360
% New rule produced :
% [501]
% converse(composition(top,A)) join converse(composition(complement(A),top)) ->
% top
% Current number of equations to process: 4657
% Current number of ordered equations: 0
% Current number of rules: 361
% New rule produced :
% [502]
% one join complement(composition(top,complement(composition(converse(sk1),sk1))))
% -> one
% Current number of equations to process: 4655
% Current number of ordered equations: 0
% Current number of rules: 362
% New rule produced :
% [503]
% converse(composition(complement(one),converse(A))) join A ->
% composition(A,top)
% Current number of equations to process: 4672
% Current number of ordered equations: 0
% Current number of rules: 363
% New rule produced :
% [504]
% complement(converse(composition(top,A))) join complement(converse(A)) ->
% complement(converse(A))
% Current number of equations to process: 4807
% Current number of ordered equations: 0
% Current number of rules: 364
% New rule produced :
% [505]
% converse(composition(top,A)) join composition(top,complement(converse(A))) ->
% top
% Current number of equations to process: 4868
% Current number of ordered equations: 0
% Current number of rules: 365
% New rule produced :
% [506]
% converse(composition(top,composition(complement(A),top))) join converse(A) ->
% top
% Current number of equations to process: 4867
% Current number of ordered equations: 0
% Current number of rules: 366
% New rule produced :
% [507]
% converse(composition(top,A)) join complement(composition(converse(A),B)) ->
% top
% Rule
% [436]
% converse(composition(top,sk1)) join complement(composition(converse(sk1),sk1))
% -> top collapsed.
% Current number of equations to process: 772
% Current number of ordered equations: 0
% Current number of rules: 366
% New rule produced :
% [508]
% converse(complement(converse(A))) join complement(composition(top,A)) ->
% converse(complement(converse(A)))
% Current number of equations to process: 837
% Current number of ordered equations: 0
% Current number of rules: 367
% New rule produced :
% [509]
% converse(composition(A,top)) join complement(converse(complement(A))) ->
% converse(composition(A,top))
% Current number of equations to process: 835
% Current number of ordered equations: 0
% Current number of rules: 368
% New rule produced :
% [510]
% converse(composition(top,A)) join composition(zero,converse(A)) ->
% converse(composition(top,A))
% Current number of equations to process: 834
% Current number of ordered equations: 0
% Current number of rules: 369
% New rule produced :
% [511]
% composition(A,top) join complement(converse(composition(B,converse(A)))) ->
% top
% Current number of equations to process: 977
% Current number of ordered equations: 0
% Current number of rules: 370
% New rule produced :
% [512] complement(composition(composition(A,converse(sk1)),sk1)) join A -> top
% Current number of equations to process: 1056
% Current number of ordered equations: 0
% Current number of rules: 371
% New rule produced :
% [513]
% complement(one join complement(composition(A,zero))) -> composition(A,zero)
% Current number of equations to process: 1542
% Current number of ordered equations: 0
% Current number of rules: 372
% New rule produced :
% [514]
% one join complement(composition(A,zero)) -> complement(composition(A,zero))
% Rule
% [513]
% complement(one join complement(composition(A,zero))) -> composition(A,zero)
% collapsed.
% Current number of equations to process: 1556
% Current number of ordered equations: 0
% Current number of rules: 372
% New rule produced :
% [515]
% converse(composition(converse(zero),A)) join complement(one) ->
% complement(one)
% Current number of equations to process: 1575
% Current number of ordered equations: 0
% Current number of rules: 373
% New rule produced :
% [516]
% composition(A,composition(B,zero)) join complement(one) -> complement(one)
% Current number of equations to process: 1633
% Current number of ordered equations: 0
% Current number of rules: 374
% New rule produced :
% [517]
% complement(one) join complement(converse(composition(converse(zero),A))) ->
% top
% Current number of equations to process: 1655
% Current number of ordered equations: 0
% Current number of rules: 375
% New rule produced :
% [518]
% complement(one) join complement(composition(A,composition(B,zero))) -> top
% Current number of equations to process: 1654
% Current number of ordered equations: 0
% Current number of rules: 376
% New rule produced :
% [519]
% composition(top,complement(one)) join complement(composition(A,zero)) -> top
% Current number of equations to process: 1652
% Current number of ordered equations: 1
% Current number of rules: 377
% New rule produced :
% [520]
% composition(top,complement(composition(A,zero))) join complement(one) -> top
% Current number of equations to process: 1652
% Current number of ordered equations: 0
% Current number of rules: 378
% New rule produced :
% [521]
% composition(complement(one),top) join complement(composition(A,zero)) -> top
% Current number of equations to process: 1650
% Current number of ordered equations: 1
% Current number of rules: 379
% New rule produced :
% [522]
% composition(complement(composition(A,zero)),top) join complement(one) -> top
% Current number of equations to process: 1650
% Current number of ordered equations: 0
% Current number of rules: 380
% New rule produced :
% [523]
% converse(complement(converse(composition(A,zero)))) join complement(one) ->
% top
% Current number of equations to process: 1647
% Current number of ordered equations: 0
% Current number of rules: 381
% New rule produced :
% [524]
% converse(complement(composition(converse(zero),A))) join complement(one) ->
% top
% Current number of equations to process: 1646
% Current number of ordered equations: 0
% Current number of rules: 382
% New rule produced :
% [525]
% composition(top,complement(one)) join composition(A,zero) ->
% composition(complement(one),top)
% Current number of equations to process: 1643
% Current number of ordered equations: 0
% Current number of rules: 383
% New rule produced :
% [526]
% composition(complement(one),top) join composition(A,zero) ->
% composition(complement(one),top)
% Current number of equations to process: 1642
% Current number of ordered equations: 0
% Current number of rules: 384
% New rule produced :
% [527] composition(top,complement(one)) <-> composition(complement(one),top)
% Current number of equations to process: 1641
% Current number of ordered equations: 1
% Current number of rules: 385
% New rule produced :
% [528] composition(complement(one),top) <-> composition(top,complement(one))
% Current number of equations to process: 1641
% Current number of ordered equations: 0
% Current number of rules: 386
% New rule produced :
% [529]
% converse(composition(composition(top,A),top)) join converse(complement(A)) ->
% top
% Current number of equations to process: 1640
% Current number of ordered equations: 0
% Current number of rules: 387
% New rule produced :
% [530]
% converse(complement(A)) join complement(converse(composition(top,A))) ->
% converse(complement(A))
% Current number of equations to process: 1639
% Current number of ordered equations: 0
% Current number of rules: 388
% New rule produced :
% [531]
% converse(composition(top,complement(A))) join converse(composition(top,A)) ->
% top
% Current number of equations to process: 1638
% Current number of ordered equations: 0
% Current number of rules: 389
% New rule produced :
% [532]
% converse(composition(A,top)) join composition(complement(converse(A)),top) ->
% top
% Current number of equations to process: 1635
% Current number of ordered equations: 0
% Current number of rules: 390
% New rule produced :
% [533]
% converse(composition(top,composition(A,top))) join complement(converse(A)) ->
% top
% Current number of equations to process: 1634
% Current number of ordered equations: 0
% Current number of rules: 391
% New rule produced : [534] composition(converse(zero),zero) -> zero
% Current number of equations to process: 1741
% Current number of ordered equations: 0
% Current number of rules: 392
% New rule produced : [535] converse(composition(converse(A),zero)) join A -> A
% Current number of equations to process: 1749
% Current number of ordered equations: 0
% Current number of rules: 393
% New rule produced :
% [536] complement(composition(converse(zero),A)) join A -> top
% Current number of equations to process: 1750
% Current number of ordered equations: 0
% Current number of rules: 394
% New rule produced :
% [537] converse(composition(A,zero)) join converse(A) -> converse(A)
% Current number of equations to process: 1758
% Current number of ordered equations: 0
% Current number of rules: 395
% New rule produced :
% [538] composition(converse(zero),composition(zero,A)) join A -> A
% Current number of equations to process: 1805
% Current number of ordered equations: 1
% Current number of rules: 396
% New rule produced :
% [539] composition(zero,composition(converse(zero),A)) join A -> A
% Current number of equations to process: 1805
% Current number of ordered equations: 0
% Current number of rules: 397
% New rule produced :
% [540] composition(converse(zero),complement(A)) join A -> A
% Current number of equations to process: 1834
% Current number of ordered equations: 0
% Current number of rules: 398
% New rule produced :
% [541] composition(converse(zero),A) join complement(A) -> complement(A)
% Current number of equations to process: 1833
% Current number of ordered equations: 0
% Current number of rules: 399
% New rule produced :
% [542] converse(complement(composition(converse(A),zero))) join A -> top
% Current number of equations to process: 1846
% Current number of ordered equations: 0
% Current number of rules: 400
% New rule produced : [543] composition(zero,converse(zero)) -> zero
% Rule [340] one join composition(zero,converse(zero)) -> one collapsed.
% Current number of equations to process: 1871
% Current number of ordered equations: 0
% Current number of rules: 400
% New rule produced :
% [544] complement(composition(A,converse(zero))) join A -> top
% Current number of equations to process: 1897
% Current number of ordered equations: 0
% Current number of rules: 401
% New rule produced : [545] converse(composition(zero,converse(A))) join A -> A
% Current number of equations to process: 1905
% Current number of ordered equations: 0
% Current number of rules: 402
% New rule produced :
% [546] converse(composition(zero,top)) join complement(one) -> complement(one)
% Current number of equations to process: 1953
% Current number of ordered equations: 0
% Current number of rules: 403
% New rule produced :
% [547] composition(composition(zero,A),converse(zero)) join A -> A
% Current number of equations to process: 1956
% Current number of ordered equations: 0
% Current number of rules: 404
% New rule produced :
% [548] converse(complement(composition(zero,converse(A)))) join A -> top
% Current number of equations to process: 1988
% Current number of ordered equations: 0
% Current number of rules: 405
% New rule produced :
% [549] converse(complement(composition(zero,A))) join converse(A) -> top
% Current number of equations to process: 2032
% Current number of ordered equations: 0
% Current number of rules: 406
% New rule produced :
% [550] complement(composition(zero,composition(zero,A))) join A -> top
% Current number of equations to process: 2048
% Current number of ordered equations: 0
% Current number of rules: 407
% New rule produced :
% [551] composition(A,top) join complement(composition(zero,A)) -> top
% Current number of equations to process: 2060
% Current number of ordered equations: 1
% Current number of rules: 408
% New rule produced :
% [552] composition(complement(composition(zero,A)),top) join A -> top
% Current number of equations to process: 2060
% Current number of ordered equations: 0
% Current number of rules: 409
% New rule produced :
% [553] converse(composition(converse(zero),A)) join converse(A) -> converse(A)
% Current number of equations to process: 2071
% Current number of ordered equations: 0
% Current number of rules: 410
% New rule produced :
% [554]
% converse(complement(converse(composition(converse(zero),A)))) join A -> top
% Current number of equations to process: 2070
% Current number of ordered equations: 0
% Current number of rules: 411
% New rule produced :
% [555]
% composition(converse(zero),A) join composition(A,top) -> composition(A,top)
% Current number of equations to process: 2068
% Current number of ordered equations: 0
% Current number of rules: 412
% New rule produced :
% [556]
% composition(top,complement(composition(converse(zero),A))) join A -> top
% Current number of equations to process: 2067
% Current number of ordered equations: 0
% Current number of rules: 413
% New rule produced :
% [557]
% converse(complement(converse(composition(A,converse(zero))))) join A -> top
% Current number of equations to process: 2066
% Current number of ordered equations: 0
% Current number of rules: 414
% New rule produced :
% [558]
% composition(top,A) join composition(A,converse(zero)) -> composition(top,A)
% Current number of equations to process: 2064
% Current number of ordered equations: 0
% Current number of rules: 415
% New rule produced :
% [559]
% composition(top,complement(composition(A,converse(zero)))) join A -> top
% Current number of equations to process: 2063
% Current number of ordered equations: 0
% Current number of rules: 416
% New rule produced :
% [560] composition(composition(converse(zero),A),converse(zero)) join A -> A
% Current number of equations to process: 2060
% Current number of ordered equations: 1
% Current number of rules: 417
% New rule produced :
% [561] composition(converse(zero),composition(A,converse(zero))) join A -> A
% Current number of equations to process: 2060
% Current number of ordered equations: 0
% Current number of rules: 418
% New rule produced :
% [562]
% converse(A) join complement(converse(composition(A,converse(zero)))) -> top
% Current number of equations to process: 2059
% Current number of ordered equations: 0
% Current number of rules: 419
% New rule produced :
% [563] complement(complement(composition(zero,A)) join B) join A -> A
% Current number of equations to process: 2058
% Current number of ordered equations: 0
% Current number of rules: 420
% New rule produced :
% [564]
% complement(composition(zero,composition(converse(zero),A))) join A -> top
% Current number of equations to process: 2057
% Current number of ordered equations: 0
% Current number of rules: 421
% New rule produced :
% [565] converse(A) join complement(converse(composition(zero,A))) -> top
% Current number of equations to process: 2067
% Current number of ordered equations: 0
% Current number of rules: 422
% New rule produced :
% [566]
% complement(converse(complement(converse(composition(zero,A))))) join A -> A
% Current number of equations to process: 2135
% Current number of ordered equations: 0
% Current number of rules: 423
% New rule produced :
% [567] complement(converse(composition(zero,converse(A)))) join A -> top
% Current number of equations to process: 2138
% Current number of ordered equations: 0
% Current number of rules: 424
% New rule produced :
% [568] one join complement(converse(composition(complement(one),top))) -> one
% Current number of equations to process: 2370
% Current number of ordered equations: 0
% Current number of rules: 425
% New rule produced :
% [569]
% composition(complement(A),converse(zero)) join A ->
% converse(composition(zero,top)) join A
% Rule
% [361]
% one join composition(complement(one),converse(zero)) ->
% one join converse(composition(zero,top)) collapsed.
% Current number of equations to process: 2371
% Current number of ordered equations: 0
% Current number of rules: 425
% New rule produced :
% [570]
% composition(composition(A,zero),converse(zero)) join complement(one) ->
% complement(one)
% Current number of equations to process: 2370
% Current number of ordered equations: 0
% Current number of rules: 426
% New rule produced :
% [571]
% converse(composition(zero,composition(zero,A))) join converse(A) ->
% converse(A)
% Current number of equations to process: 2369
% Current number of ordered equations: 0
% Current number of rules: 427
% New rule produced :
% [572] composition(composition(A,complement(one)),zero) -> composition(A,zero)
% Current number of equations to process: 3433
% Current number of ordered equations: 0
% Current number of rules: 428
% New rule produced :
% [573] composition(complement(one),composition(zero,A)) -> composition(zero,A)
% Current number of equations to process: 3432
% Current number of ordered equations: 0
% Current number of rules: 429
% New rule produced : [574] complement(composition(A,zero)) -> top
% Rule [329] complement(one) join complement(composition(A,zero)) -> top
% collapsed.
% Rule
% [373] converse(complement(composition(A,zero))) join complement(one) -> top
% collapsed.
% Rule
% [514]
% one join complement(composition(A,zero)) -> complement(composition(A,zero))
% collapsed.
% Rule
% [519]
% composition(top,complement(one)) join complement(composition(A,zero)) -> top
% collapsed.
% Rule
% [520]
% composition(top,complement(composition(A,zero))) join complement(one) -> top
% collapsed.
% Rule
% [521]
% composition(complement(one),top) join complement(composition(A,zero)) -> top
% collapsed.
% Rule
% [522]
% composition(complement(composition(A,zero)),top) join complement(one) -> top
% collapsed.
% Rule [542] converse(complement(composition(converse(A),zero))) join A -> top
% collapsed.
% Current number of equations to process: 3445
% Current number of ordered equations: 0
% Current number of rules: 422
% Rule [395]
% composition(converse(composition(B,A)),complement(composition(B,top)))
% -> composition(converse(A),zero) is composed into [395]
% composition(converse(
% composition(B,A)),
% complement(composition(B,top)))
% -> zero
% Rule [389]
% composition(composition(A,converse(B)),complement(composition(B,top)))
% -> composition(A,zero) is composed into [389]
% composition(composition(A,
% converse(B)),
% complement(composition(B,top)))
% -> zero
% Rule [366]
% composition(composition(A,B),complement(converse(composition(top,B))))
% -> composition(A,zero) is composed into [366]
% composition(composition(A,B),
% complement(converse(composition(top,B))))
% -> zero
% New rule produced : [575] composition(A,zero) -> zero
% Rule [330] composition(A,zero) join complement(one) -> complement(one)
% collapsed.
% Rule [353] composition(complement(one),zero) -> zero collapsed.
% Rule [354] composition(converse(sk1),composition(sk1,zero)) -> zero
% collapsed.
% Rule [355] composition(zero,zero) -> zero collapsed.
% Rule [357] composition(A,zero) join composition(A,B) -> composition(A,B)
% collapsed.
% Rule
% [385] converse(composition(A,zero)) join complement(one) -> complement(one)
% collapsed.
% Rule [386] composition(top,zero) -> zero collapsed.
% Rule
% [465] composition(complement(composition(converse(sk1),sk1)),zero) -> zero
% collapsed.
% Rule
% [516]
% composition(A,composition(B,zero)) join complement(one) -> complement(one)
% collapsed.
% Rule
% [518]
% complement(one) join complement(composition(A,composition(B,zero))) -> top
% collapsed.
% Rule
% [523]
% converse(complement(converse(composition(A,zero)))) join complement(one) ->
% top collapsed.
% Rule
% [525]
% composition(top,complement(one)) join composition(A,zero) ->
% composition(complement(one),top) collapsed.
% Rule
% [526]
% composition(complement(one),top) join composition(A,zero) ->
% composition(complement(one),top) collapsed.
% Rule [534] composition(converse(zero),zero) -> zero collapsed.
% Rule [535] converse(composition(converse(A),zero)) join A -> A collapsed.
% Rule [537] converse(composition(A,zero)) join converse(A) -> converse(A)
% collapsed.
% Rule
% [570]
% composition(composition(A,zero),converse(zero)) join complement(one) ->
% complement(one) collapsed.
% Rule
% [572] composition(composition(A,complement(one)),zero) -> composition(A,zero)
% collapsed.
% Rule [574] complement(composition(A,zero)) -> top collapsed.
% Current number of equations to process: 3445
% Current number of ordered equations: 0
% Current number of rules: 404
% New rule produced :
% [576] composition(zero,complement(composition(A,top))) -> zero
% Current number of equations to process: 3445
% Current number of ordered equations: 0
% Current number of rules: 405
% New rule produced :
% [577]
% composition(converse(zero),composition(complement(one),A)) ->
% composition(converse(zero),A)
% Current number of equations to process: 3443
% Current number of ordered equations: 0
% Current number of rules: 406
% New rule produced :
% [578]
% composition(composition(A,converse(zero)),complement(one)) ->
% composition(A,converse(zero))
% Current number of equations to process: 3442
% Current number of ordered equations: 0
% Current number of rules: 407
% Rule [393]
% composition(converse(complement(composition(B,top))),composition(B,A))
% -> composition(converse(zero),A) is composed into [393]
% composition(converse(
% complement(
% composition(B,top))),
% composition(B,A)) ->
% converse(zero)
% New rule produced : [579] composition(converse(zero),A) -> converse(zero)
% Rule [334] composition(converse(zero),A) join A -> A collapsed.
% Rule
% [515]
% converse(composition(converse(zero),A)) join complement(one) ->
% complement(one) collapsed.
% Rule
% [517]
% complement(one) join complement(converse(composition(converse(zero),A))) ->
% top collapsed.
% Rule
% [524]
% converse(complement(composition(converse(zero),A))) join complement(one) ->
% top collapsed.
% Rule [536] complement(composition(converse(zero),A)) join A -> top collapsed.
% Rule [538] composition(converse(zero),composition(zero,A)) join A -> A
% collapsed.
% Rule [539] composition(zero,composition(converse(zero),A)) join A -> A
% collapsed.
% Rule [540] composition(converse(zero),complement(A)) join A -> A collapsed.
% Rule [541] composition(converse(zero),A) join complement(A) -> complement(A)
% collapsed.
% Rule
% [553] converse(composition(converse(zero),A)) join converse(A) -> converse(A)
% collapsed.
% Rule
% [554]
% converse(complement(converse(composition(converse(zero),A)))) join A -> top
% collapsed.
% Rule
% [555]
% composition(converse(zero),A) join composition(A,top) -> composition(A,top)
% collapsed.
% Rule
% [556]
% composition(top,complement(composition(converse(zero),A))) join A -> top
% collapsed.
% Rule
% [560] composition(composition(converse(zero),A),converse(zero)) join A -> A
% collapsed.
% Rule
% [561] composition(converse(zero),composition(A,converse(zero))) join A -> A
% collapsed.
% Rule
% [564]
% complement(composition(zero,composition(converse(zero),A))) join A -> top
% collapsed.
% Rule
% [577]
% composition(converse(zero),composition(complement(one),A)) ->
% composition(converse(zero),A) collapsed.
% Current number of equations to process: 3439
% Current number of ordered equations: 0
% Current number of rules: 391
% New rule produced :
% [580]
% composition(zero,complement(converse(A))) join complement(one) ->
% complement(one)
% Current number of equations to process: 3456
% Current number of ordered equations: 0
% Current number of rules: 392
% New rule produced :
% [581] composition(zero,complement(A)) join complement(one) -> complement(one)
% Rule
% [580]
% composition(zero,complement(converse(A))) join complement(one) ->
% complement(one) collapsed.
% Current number of equations to process: 3461
% Current number of ordered equations: 0
% Current number of rules: 392
% New rule produced :
% [582] composition(A,B) join complement(composition(zero,B)) -> top
% Current number of equations to process: 3462
% Current number of ordered equations: 0
% Current number of rules: 393
% New rule produced : [583] one join composition(zero,sk1) -> one
% Current number of equations to process: 3469
% Current number of ordered equations: 0
% Current number of rules: 394
% New rule produced :
% [584] composition(zero,complement(composition(A,complement(B)))) join B -> B
% Current number of equations to process: 3549
% Current number of ordered equations: 0
% Current number of rules: 395
% New rule produced : [585] composition(zero,composition(sk1,A)) join A -> A
% Current number of equations to process: 3565
% Current number of ordered equations: 0
% Current number of rules: 396
% New rule produced :
% [586] composition(zero,complement(converse(composition(top,A)))) -> zero
% Current number of equations to process: 3582
% Current number of ordered equations: 0
% Current number of rules: 397
% New rule produced :
% [587] composition(zero,A) join composition(B,top) -> composition(B,top)
% Rule
% [430]
% composition(zero,composition(A,B)) join composition(A,top) ->
% composition(A,top) collapsed.
% Rule [447] composition(zero,A) join composition(A,top) -> composition(A,top)
% collapsed.
% Current number of equations to process: 3600
% Current number of ordered equations: 0
% Current number of rules: 396
% New rule produced : [588] composition(zero,sk1) join A -> A
% Rule [583] one join composition(zero,sk1) -> one collapsed.
% Current number of equations to process: 3658
% Current number of ordered equations: 0
% Current number of rules: 396
% Rule [393]
% composition(converse(complement(composition(B,top))),composition(B,A))
% -> converse(zero) is composed into [393]
% composition(converse(complement(
% composition(B,top))),
% composition(B,A)) -> zero
% New rule produced : [589] converse(zero) -> zero
% Rule [335] composition(A,converse(zero)) join A -> A collapsed.
% Rule
% [348] converse(composition(A,converse(zero))) join converse(A) -> converse(A)
% collapsed.
% Rule [360] converse(zero) join A -> A collapsed.
% Rule [387] complement(converse(zero)) -> top collapsed.
% Rule
% [464]
% converse(complement(composition(A,converse(zero)))) join converse(A) -> top
% collapsed.
% Rule [543] composition(zero,converse(zero)) -> zero collapsed.
% Rule [544] complement(composition(A,converse(zero))) join A -> top collapsed.
% Rule [547] composition(composition(zero,A),converse(zero)) join A -> A
% collapsed.
% Rule
% [557]
% converse(complement(converse(composition(A,converse(zero))))) join A -> top
% collapsed.
% Rule
% [558]
% composition(top,A) join composition(A,converse(zero)) -> composition(top,A)
% collapsed.
% Rule
% [559]
% composition(top,complement(composition(A,converse(zero)))) join A -> top
% collapsed.
% Rule
% [562]
% converse(A) join complement(converse(composition(A,converse(zero)))) -> top
% collapsed.
% Rule
% [569]
% composition(complement(A),converse(zero)) join A ->
% converse(composition(zero,top)) join A collapsed.
% Rule
% [578]
% composition(composition(A,converse(zero)),complement(one)) ->
% composition(A,converse(zero)) collapsed.
% Rule [579] composition(converse(zero),A) -> converse(zero) collapsed.
% Current number of equations to process: 3676
% Current number of ordered equations: 0
% Current number of rules: 382
% Rule [390]
% composition(converse(B),composition(complement(composition(B,top)),A))
% -> composition(zero,A) is composed into [390]
% composition(converse(B),
% composition(complement(composition(B,top)),A))
% -> zero
% Rule [367]
% composition(B,composition(complement(converse(composition(top,B))),A))
% -> composition(zero,A) is composed into [367]
% composition(B,composition(
% complement(
% converse(composition(top,B))),A))
% -> zero
% New rule produced : [590] composition(zero,A) -> zero
% Rule [205] composition(zero,A) join A -> A collapsed.
% Rule [337] complement(composition(zero,A)) join A -> top collapsed.
% Rule [338] converse(complement(converse(composition(zero,A)))) join A -> top
% collapsed.
% Rule [339] converse(composition(zero,A)) join converse(A) -> converse(A)
% collapsed.
% Rule [341] composition(zero,composition(zero,A)) join A -> A collapsed.
% Rule
% [349]
% complement(composition(zero,A)) join complement(A) ->
% complement(composition(zero,A)) collapsed.
% Rule
% [352]
% complement(composition(zero,complement(A))) join A ->
% complement(composition(zero,complement(A))) collapsed.
% Rule [356] composition(zero,B) join composition(A,B) -> composition(A,B)
% collapsed.
% Rule
% [362]
% composition(zero,complement(A join B)) join complement(B) -> complement(B)
% collapsed.
% Rule
% [363]
% composition(composition(converse(sk1),sk1),composition(zero,A)) join A -> A
% collapsed.
% Rule
% [364]
% composition(composition(zero,A),B) join composition(A,B) -> composition(A,B)
% collapsed.
% Rule
% [365]
% composition(A,composition(zero,B)) join composition(A,B) -> composition(A,B)
% collapsed.
% Rule
% [368]
% complement(A join B) join complement(composition(zero,A)) ->
% complement(composition(zero,A)) collapsed.
% Rule
% [403] complement(composition(zero,A) join B) join A -> complement(B) join A
% collapsed.
% Rule
% [413]
% converse(complement(converse(complement(A)))) join complement(composition(zero,A))
% -> top collapsed.
% Rule
% [421] composition(zero,complement(A)) join A -> composition(zero,top) join A
% collapsed.
% Rule
% [422]
% composition(zero,top) join complement(A) <->
% composition(zero,A) join complement(A) collapsed.
% Rule
% [423]
% composition(zero,A) join complement(A) <->
% composition(zero,top) join complement(A) collapsed.
% Rule [426] composition(zero,composition(converse(sk1),sk1)) -> zero
% collapsed.
% Rule
% [435]
% composition(composition(zero,A),composition(converse(sk1),sk1)) join A -> A
% collapsed.
% Rule
% [448]
% composition(zero,complement(composition(converse(sk1),sk1))) ->
% composition(zero,top) collapsed.
% Rule [484] composition(top,complement(composition(zero,A))) join A -> top
% collapsed.
% Rule
% [510]
% converse(composition(top,A)) join composition(zero,converse(A)) ->
% converse(composition(top,A)) collapsed.
% Rule [545] converse(composition(zero,converse(A))) join A -> A collapsed.
% Rule
% [546] converse(composition(zero,top)) join complement(one) -> complement(one)
% collapsed.
% Rule [548] converse(complement(composition(zero,converse(A)))) join A -> top
% collapsed.
% Rule [549] converse(complement(composition(zero,A))) join converse(A) -> top
% collapsed.
% Rule [550] complement(composition(zero,composition(zero,A))) join A -> top
% collapsed.
% Rule [551] composition(A,top) join complement(composition(zero,A)) -> top
% collapsed.
% Rule [552] composition(complement(composition(zero,A)),top) join A -> top
% collapsed.
% Rule [563] complement(complement(composition(zero,A)) join B) join A -> A
% collapsed.
% Rule [565] converse(A) join complement(converse(composition(zero,A))) -> top
% collapsed.
% Rule
% [566]
% complement(converse(complement(converse(composition(zero,A))))) join A -> A
% collapsed.
% Rule [567] complement(converse(composition(zero,converse(A)))) join A -> top
% collapsed.
% Rule
% [571]
% converse(composition(zero,composition(zero,A))) join converse(A) ->
% converse(A) collapsed.
% Rule
% [573] composition(complement(one),composition(zero,A)) -> composition(zero,A)
% collapsed.
% Rule [576] composition(zero,complement(composition(A,top))) -> zero
% collapsed.
% Rule
% [581] composition(zero,complement(A)) join complement(one) -> complement(one)
% collapsed.
% Rule [582] composition(A,B) join complement(composition(zero,B)) -> top
% collapsed.
% Rule
% [584] composition(zero,complement(composition(A,complement(B)))) join B -> B
% collapsed.
% Rule [585] composition(zero,composition(sk1,A)) join A -> A collapsed.
% Rule [586] composition(zero,complement(converse(composition(top,A)))) -> zero
% collapsed.
% Rule [587] composition(zero,A) join composition(B,top) -> composition(B,top)
% collapsed.
% Rule [588] composition(zero,sk1) join A -> A collapsed.
% Current number of equations to process: 3675
% Current number of ordered equations: 0
% Current number of rules: 339
% New rule produced :
% [591]
% composition(converse(composition(complement(one),top)),A) join A ->
% composition(top,A)
% Current number of equations to process: 3636
% Current number of ordered equations: 0
% Current number of rules: 340
% New rule produced :
% [592]
% composition(A,converse(composition(complement(one),top))) join A ->
% composition(A,top)
% Current number of equations to process: 3635
% Current number of ordered equations: 0
% Current number of rules: 341
% New rule produced :
% [593]
% one join complement(converse(composition(complement(one),top)) join A) -> one
% Current number of equations to process: 3633
% Current number of ordered equations: 1
% Current number of rules: 342
% New rule produced :
% [594]
% converse(composition(complement(one),top)) join complement(one) ->
% converse(composition(complement(one),top))
% Current number of equations to process: 3633
% Current number of ordered equations: 0
% Current number of rules: 343
% New rule produced :
% [595]
% composition(composition(A,B),converse(composition(top,B))) ->
% composition(composition(A,B),top)
% Current number of equations to process: 3671
% Current number of ordered equations: 0
% Current number of rules: 344
% New rule produced :
% [596]
% converse(composition(top,A)) join complement(converse(complement(A))) ->
% converse(composition(top,A))
% Current number of equations to process: 3726
% Current number of ordered equations: 0
% Current number of rules: 345
% New rule produced :
% [597]
% composition(converse(composition(top,A)),composition(top,B)) ->
% composition(converse(composition(top,A)),B)
% Current number of equations to process: 3898
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced :
% [598]
% composition(converse(A),complement(one)) ->
% converse(composition(complement(one),A))
% Current number of equations to process: 4046
% Current number of ordered equations: 0
% Current number of rules: 347
% New rule produced :
% [599]
% converse(composition(complement(one),top)) ->
% composition(top,complement(one))
% Rule [344] one join converse(composition(complement(one),top)) -> top
% collapsed.
% Rule
% [568] one join complement(converse(composition(complement(one),top))) -> one
% collapsed.
% Rule
% [591]
% composition(converse(composition(complement(one),top)),A) join A ->
% composition(top,A) collapsed.
% Rule
% [592]
% composition(A,converse(composition(complement(one),top))) join A ->
% composition(A,top) collapsed.
% Rule
% [593]
% one join complement(converse(composition(complement(one),top)) join A) -> one
% collapsed.
% Rule
% [594]
% converse(composition(complement(one),top)) join complement(one) ->
% converse(composition(complement(one),top)) collapsed.
% Current number of equations to process: 4107
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced :
% [600]
% composition(complement(one),converse(A)) ->
% converse(composition(A,complement(one)))
% Rule
% [503]
% converse(composition(complement(one),converse(A))) join A ->
% composition(A,top) collapsed.
% Current number of equations to process: 4106
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced :
% [601]
% converse(composition(top,complement(one))) ->
% composition(complement(one),top)
% Rule
% [369]
% composition(top,complement(converse(composition(top,complement(one))))) ->
% complement(converse(composition(top,complement(one)))) collapsed.
% Current number of equations to process: 4127
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced :
% [602]
% composition(complement(one),complement(composition(complement(one),top))) ->
% zero
% Current number of equations to process: 4130
% Current number of ordered equations: 0
% Current number of rules: 343
% New rule produced :
% [603]
% composition(composition(top,complement(one)),top) ->
% composition(top,complement(one))
% Current number of equations to process: 4220
% Current number of ordered equations: 0
% Current number of rules: 344
% New rule produced :
% [604]
% composition(top,complement(composition(complement(one),top))) ->
% complement(composition(complement(one),top))
% Current number of equations to process: 4443
% Current number of ordered equations: 0
% Current number of rules: 345
% New rule produced :
% [605]
% composition(A,composition(top,complement(one))) join A -> composition(A,top)
% Current number of equations to process: 4442
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced :
% [606]
% composition(composition(A,complement(one)),top) join A -> composition(A,top)
% Current number of equations to process: 4441
% Current number of ordered equations: 0
% Current number of rules: 347
% New rule produced :
% [607]
% complement(composition(A,complement(one))) join A ->
% complement(composition(A,top)) join A
% Current number of equations to process: 4440
% Current number of ordered equations: 0
% Current number of rules: 348
% New rule produced :
% [608]
% composition(converse(A),composition(complement(one),B)) <->
% composition(converse(composition(complement(one),A)),B)
% Current number of equations to process: 4439
% Current number of ordered equations: 1
% Current number of rules: 349
% New rule produced :
% [609]
% composition(converse(composition(complement(one),A)),B) <->
% composition(converse(A),composition(complement(one),B))
% Current number of equations to process: 4439
% Current number of ordered equations: 0
% Current number of rules: 350
% New rule produced :
% [610]
% composition(A,converse(composition(complement(one),B))) <->
% composition(composition(A,converse(B)),complement(one))
% Current number of equations to process: 4437
% Current number of ordered equations: 3
% Current number of rules: 351
% New rule produced :
% [611]
% composition(A,converse(composition(B,complement(one)))) <->
% composition(composition(A,complement(one)),converse(B))
% Current number of equations to process: 4437
% Current number of ordered equations: 2
% Current number of rules: 352
% New rule produced :
% [612]
% composition(composition(A,converse(B)),complement(one)) <->
% composition(A,converse(composition(complement(one),B)))
% Current number of equations to process: 4437
% Current number of ordered equations: 1
% Current number of rules: 353
% New rule produced :
% [613]
% composition(composition(A,complement(one)),converse(B)) <->
% composition(A,converse(composition(B,complement(one))))
% Current number of equations to process: 4437
% Current number of ordered equations: 0
% Current number of rules: 354
% New rule produced :
% [614]
% composition(complement(one),composition(converse(A),B)) <->
% composition(converse(composition(A,complement(one))),B)
% Current number of equations to process: 4435
% Current number of ordered equations: 1
% Current number of rules: 355
% New rule produced :
% [615]
% composition(converse(composition(A,complement(one))),B) <->
% composition(complement(one),composition(converse(A),B))
% Current number of equations to process: 4435
% Current number of ordered equations: 0
% Current number of rules: 356
% New rule produced :
% [616]
% one join composition(A,complement(converse(composition(complement(one),A))))
% -> one
% Current number of equations to process: 4431
% Current number of ordered equations: 0
% Current number of rules: 357
% New rule produced :
% [617]
% converse(composition(composition(A,top),complement(one))) <->
% composition(composition(complement(one),top),converse(A))
% Current number of equations to process: 4430
% Current number of ordered equations: 1
% Current number of rules: 358
% New rule produced :
% [618]
% composition(composition(complement(one),top),converse(A)) <->
% converse(composition(composition(A,top),complement(one)))
% Current number of equations to process: 4430
% Current number of ordered equations: 0
% Current number of rules: 359
% New rule produced :
% [619]
% converse(composition(complement(one),composition(top,A))) <->
% composition(converse(A),composition(top,complement(one)))
% Current number of equations to process: 4429
% Current number of ordered equations: 1
% Current number of rules: 360
% New rule produced :
% [620]
% composition(converse(A),composition(top,complement(one))) <->
% converse(composition(complement(one),composition(top,A)))
% Current number of equations to process: 4429
% Current number of ordered equations: 0
% Current number of rules: 361
% New rule produced :
% [621]
% converse(composition(composition(complement(one),top),converse(A))) <->
% composition(composition(A,top),complement(one))
% Current number of equations to process: 4648
% Current number of ordered equations: 1
% Current number of rules: 362
% New rule produced :
% [622]
% composition(composition(A,top),complement(one)) <->
% converse(composition(composition(complement(one),top),converse(A)))
% Current number of equations to process: 4648
% Current number of ordered equations: 0
% Current number of rules: 363
% New rule produced :
% [623]
% converse(composition(converse(A),composition(top,complement(one)))) <->
% composition(complement(one),composition(top,A))
% Current number of equations to process: 4647
% Current number of ordered equations: 1
% Current number of rules: 364
% New rule produced :
% [624]
% composition(complement(one),composition(top,A)) <->
% converse(composition(converse(A),composition(top,complement(one))))
% Current number of equations to process: 4647
% Current number of ordered equations: 0
% Current number of rules: 365
% New rule produced :
% [625]
% composition(top,complement(one)) join composition(A,top) ->
% composition(top,complement(one)) join A
% Current number of equations to process: 4645
% Current number of ordered equations: 0
% Current number of rules: 366
% New rule produced :
% [626]
% converse(composition(complement(one),complement(one))) join complement(one)
% -> composition(top,complement(one))
% Current number of equations to process: 4644
% Current number of ordered equations: 0
% Current number of rules: 367
% New rule produced :
% [627] complement(composition(complement(A),top)) join A -> A
% Current number of equations to process: 806
% Current number of ordered equations: 0
% Current number of rules: 368
% New rule produced :
% [628] complement(composition(complement(A),top) join B) join A -> A
% Current number of equations to process: 949
% Current number of ordered equations: 0
% Current number of rules: 369
% New rule produced :
% [629]
% converse(complement(complement(A) join B)) join converse(A) -> converse(A)
% Current number of equations to process: 948
% Current number of ordered equations: 0
% Current number of rules: 370
% New rule produced :
% [630]
% composition(A,top) join complement(complement(A) join B) ->
% composition(A,top)
% Current number of equations to process: 946
% Current number of ordered equations: 0
% Current number of rules: 371
% New rule produced :
% [631]
% composition(composition(A,complement(one)),complement(composition(complement(one),top)))
% -> zero
% Current number of equations to process: 991
% Current number of ordered equations: 0
% Current number of rules: 372
% New rule produced :
% [632]
% composition(complement(one),composition(complement(composition(complement(one),top)),A))
% -> zero
% Current number of equations to process: 1032
% Current number of ordered equations: 0
% Current number of rules: 373
% New rule produced : [633] converse(complement(converse(complement(A)))) -> A
% Rule
% [239]
% converse(complement(converse(complement(A join B)))) join complement(B) ->
% top collapsed.
% Rule
% [406]
% converse(complement(converse(complement(complement(A) join B)))) join A ->
% top collapsed.
% Rule
% [412]
% converse(complement(converse(complement(composition(top,A))))) join complement(A)
% -> top collapsed.
% Rule
% [451]
% converse(complement(converse(complement(composition(A,top))))) join complement(A)
% -> top collapsed.
% Rule
% [458]
% converse(complement(converse(complement(A)))) join A ->
% converse(complement(converse(complement(A)))) collapsed.
% Current number of equations to process: 1056
% Current number of ordered equations: 0
% Current number of rules: 369
% New rule produced : [634] converse(complement(converse(A))) -> complement(A)
% Rule [63] converse(complement(converse(A))) join A -> top collapsed.
% Rule
% [177]
% converse(complement(converse(composition(A,B)))) join composition(top,B) ->
% top collapsed.
% Rule
% [258]
% composition(converse(complement(converse(B))),A) join composition(B,A) ->
% composition(top,A) collapsed.
% Rule
% [261]
% converse(complement(converse(composition(converse(A),complement(A))))) join 
% complement(one) -> top collapsed.
% Rule
% [264]
% converse(complement(converse(composition(composition(converse(sk1),sk1),A)))) join A
% -> top collapsed.
% Rule
% [266]
% converse(complement(converse(composition(A,complement(converse(A)))))) join 
% complement(one) -> top collapsed.
% Rule
% [272]
% composition(A,converse(complement(converse(B)))) join composition(A,B) ->
% composition(A,top) collapsed.
% Rule [305] converse(complement(converse(A))) join composition(top,A) -> top
% collapsed.
% Rule
% [325]
% converse(complement(converse(composition(A,B)))) join composition(A,top) ->
% top collapsed.
% Rule [397] complement(converse(complement(converse(A)))) join A -> A
% collapsed.
% Rule
% [398]
% converse(complement(converse(A))) join complement(A) ->
% converse(complement(converse(A))) collapsed.
% Rule [399] complement(converse(complement(converse(A))) join B) join A -> A
% collapsed.
% Rule
% [407]
% converse(complement(converse(A))) join complement(A join B) ->
% converse(complement(converse(A))) collapsed.
% Rule [441] converse(complement(converse(A))) join composition(A,top) -> top
% collapsed.
% Rule
% [493]
% composition(top,A) join complement(converse(complement(converse(A)))) ->
% composition(top,A) collapsed.
% Rule
% [494]
% converse(complement(converse(A))) join composition(composition(top,A),top) ->
% top collapsed.
% Rule
% [508]
% converse(complement(converse(A))) join complement(composition(top,A)) ->
% converse(complement(converse(A))) collapsed.
% Rule [633] converse(complement(converse(complement(A)))) -> A collapsed.
% Current number of equations to process: 1197
% Current number of ordered equations: 0
% Current number of rules: 352
% New rule produced :
% [635]
% composition(complement(composition(top,A)),composition(converse(A),B)) ->
% zero
% Current number of equations to process: 1313
% Current number of ordered equations: 1
% Current number of rules: 353
% New rule produced :
% [636]
% composition(complement(composition(top,A)),converse(composition(top,A))) ->
% zero
% Current number of equations to process: 1313
% Current number of ordered equations: 0
% Current number of rules: 354
% New rule produced :
% [637]
% composition(composition(A,converse(B)),composition(B,top)) ->
% composition(A,converse(composition(top,B)))
% Current number of equations to process: 1312
% Current number of ordered equations: 0
% Current number of rules: 355
% New rule produced :
% [638]
% composition(composition(A,top),complement(composition(composition(top,A),top)))
% -> zero
% Current number of equations to process: 1425
% Current number of ordered equations: 0
% Current number of rules: 356
% New rule produced :
% [639]
% composition(converse(composition(A,B)),composition(A,top)) ->
% converse(composition(top,composition(A,B)))
% Current number of equations to process: 1491
% Current number of ordered equations: 0
% Current number of rules: 357
% New rule produced :
% [640]
% composition(A,top) join complement(composition(composition(A,B),top)) -> top
% Current number of equations to process: 1492
% Current number of ordered equations: 0
% Current number of rules: 358
% New rule produced :
% [641] converse(complement(converse(complement(A)) join B)) join A -> A
% Current number of equations to process: 1675
% Current number of ordered equations: 0
% Current number of rules: 359
% New rule produced :
% [642]
% converse(A) join complement(converse(composition(top,complement(A)))) ->
% converse(A)
% Current number of equations to process: 1774
% Current number of ordered equations: 0
% Current number of rules: 360
% New rule produced :
% [643]
% one join complement(composition(complement(composition(converse(sk1),sk1)),top))
% -> one
% Current number of equations to process: 2020
% Current number of ordered equations: 0
% Current number of rules: 361
% New rule produced :
% [644]
% converse(complement(converse(A) join B)) join complement(A) -> complement(A)
% Current number of equations to process: 2090
% Current number of ordered equations: 0
% Current number of rules: 362
% New rule produced :
% [645]
% complement(composition(converse(sk1),complement(sk1))) ->
% one join complement(converse(composition(top,sk1)))
% Current number of equations to process: 2427
% Current number of ordered equations: 0
% Current number of rules: 363
% New rule produced :
% [646]
% converse(complement(converse(A) join B)) join A ->
% converse(complement(B)) join A
% Rule
% [257] converse(complement(converse(A) join converse(B))) join A join B -> top
% collapsed.
% Rule [462] one join converse(complement(one join converse(A))) join A -> top
% collapsed.
% Current number of equations to process: 2805
% Current number of ordered equations: 0
% Current number of rules: 362
% New rule produced :
% [647]
% one join converse(complement(one join A)) -> one join converse(complement(A))
% Current number of equations to process: 2895
% Current number of ordered equations: 0
% Current number of rules: 363
% New rule produced :
% [648]
% converse(complement(composition(top,complement(A)))) join converse(A) ->
% converse(A)
% Current number of equations to process: 3094
% Current number of ordered equations: 0
% Current number of rules: 364
% New rule produced :
% [649]
% converse(complement(composition(top,A))) join converse(complement(A)) ->
% converse(complement(A))
% Current number of equations to process: 3111
% Current number of ordered equations: 0
% Current number of rules: 365
% New rule produced :
% [650]
% complement(converse(complement(converse(A) join B))) join complement(A) ->
% top
% Current number of equations to process: 3210
% Current number of ordered equations: 0
% Current number of rules: 366
% New rule produced :
% [651]
% one join complement(converse(complement(complement(one) join A))) -> top
% Current number of equations to process: 3262
% Current number of ordered equations: 0
% Current number of rules: 367
% New rule produced :
% [652]
% converse(complement(A)) join complement(converse(complement(composition(top,A))))
% -> top
% Current number of equations to process: 3279
% Current number of ordered equations: 0
% Current number of rules: 368
% New rule produced :
% [653]
% converse(A) join complement(converse(complement(complement(A) join B))) ->
% top
% Current number of equations to process: 3334
% Current number of ordered equations: 0
% Current number of rules: 369
% New rule produced :
% [654]
% complement(one) join complement(converse(complement(one join A))) -> top
% Current number of equations to process: 3373
% Current number of ordered equations: 0
% Current number of rules: 370
% New rule produced :
% [655]
% converse(complement(A)) join complement(converse(complement(composition(A,top))))
% -> top
% Current number of equations to process: 3526
% Current number of ordered equations: 0
% Current number of rules: 371
% New rule produced :
% [656]
% complement(converse(complement(converse(complement(A)) join B))) join A ->
% top
% Current number of equations to process: 3694
% Current number of ordered equations: 0
% Current number of rules: 372
% New rule produced :
% [657]
% composition(top,composition(A,top)) join A ->
% composition(top,composition(A,top))
% Current number of equations to process: 4136
% Current number of ordered equations: 0
% Current number of rules: 373
% New rule produced :
% [658]
% composition(top,composition(A,top)) join complement(composition(A,B)) -> top
% Current number of equations to process: 4193
% Current number of ordered equations: 0
% Current number of rules: 374
% New rule produced :
% [659]
% composition(A,top) join complement(composition(composition(A,B),C)) -> top
% Rule
% [640]
% composition(A,top) join complement(composition(composition(A,B),top)) -> top
% collapsed.
% Current number of equations to process: 4192
% Current number of ordered equations: 0
% Current number of rules: 374
% New rule produced :
% [660]
% composition(complement(composition(A,B)),top) join composition(A,top) -> top
% Current number of equations to process: 4190
% Current number of ordered equations: 0
% Current number of rules: 375
% New rule produced :
% [661]
% composition(composition(complement(one),top),complement(composition(top,
% complement(one)))) ->
% zero
% Current number of equations to process: 4187
% Current number of ordered equations: 0
% Current number of rules: 376
% Rule [622]
% composition(composition(A,top),complement(one)) <->
% converse(composition(composition(complement(one),top),converse(A))) is composed into 
% [622]
% composition(composition(A,top),complement(one)) <->
% converse(converse(composition(A,composition(top,complement(one)))))
% Rule [617]
% converse(composition(composition(A,top),complement(one))) <->
% composition(composition(complement(one),top),converse(A)) is composed into 
% [617]
% converse(composition(composition(A,top),complement(one))) <->
% converse(composition(A,composition(top,complement(one))))
% New rule produced :
% [662]
% composition(composition(complement(one),top),converse(A)) ->
% converse(composition(A,composition(top,complement(one))))
% Rule
% [618]
% composition(composition(complement(one),top),converse(A)) <->
% converse(composition(composition(A,top),complement(one))) collapsed.
% Rule
% [621]
% converse(composition(composition(complement(one),top),converse(A))) <->
% composition(composition(A,top),complement(one)) collapsed.
% Current number of equations to process: 4186
% Current number of ordered equations: 0
% Current number of rules: 375
% New rule produced :
% [663]
% complement(composition(composition(top,A),top)) join complement(A) ->
% complement(A)
% Current number of equations to process: 4251
% Current number of ordered equations: 0
% Current number of rules: 376
% New rule produced :
% [664]
% one join converse(composition(converse(sk1),complement(sk1))) ->
% one join composition(top,sk1)
% Current number of equations to process: 4336
% Current number of ordered equations: 0
% Current number of rules: 377
% New rule produced :
% [665]
% converse(composition(A,top)) join complement(one) ->
% composition(A,top) join complement(one)
% Current number of equations to process: 4401
% Current number of ordered equations: 0
% Current number of rules: 378
% New rule produced :
% [666]
% converse(composition(composition(top,A),converse(A))) -> composition(A,top)
% Current number of equations to process: 4540
% Current number of ordered equations: 0
% Current number of rules: 379
% New rule produced :
% [667]
% composition(complement(one),composition(complement(one),top)) ->
% composition(complement(one),top)
% Current number of equations to process: 4593
% Current number of ordered equations: 0
% Current number of rules: 380
% New rule produced :
% [668]
% composition(converse(composition(A,top)),composition(top,A)) ->
% composition(top,A)
% Current number of equations to process: 4592
% Current number of ordered equations: 0
% Current number of rules: 381
% New rule produced :
% [669]
% composition(converse(composition(top,A)),composition(A,top)) ->
% converse(composition(top,A))
% Current number of equations to process: 4591
% Current number of ordered equations: 0
% Current number of rules: 382
% New rule produced :
% [670]
% composition(converse(composition(A,top)),composition(A,B)) ->
% composition(composition(top,A),B)
% Current number of equations to process: 4767
% Current number of ordered equations: 0
% Current number of rules: 383
% New rule produced :
% [671]
% composition(composition(A,top),composition(converse(B),B)) ->
% composition(A,composition(top,B))
% Current number of equations to process: 4766
% Current number of ordered equations: 0
% Current number of rules: 384
% New rule produced :
% [672] one join converse(complement(complement(one) join A)) -> one
% Current number of equations to process: 4826
% Current number of ordered equations: 0
% Current number of rules: 385
% New rule produced :
% [673]
% converse(complement(one join A)) join complement(one) -> complement(one)
% Current number of equations to process: 4947
% Current number of ordered equations: 0
% Current number of rules: 386
% New rule produced :
% [674]
% converse(complement(composition(A,top))) join converse(complement(A)) ->
% converse(complement(A))
% Current number of equations to process: 1326
% Current number of ordered equations: 0
% Current number of rules: 387
% Rule [431]
% composition(converse(A),A) join complement(one) ->
% converse(composition(top,A)) join complement(one) is composed into 
% [431]
% composition(converse(A),A) join complement(one) ->
% composition(top,A) join complement(one)
% New rule produced :
% [675]
% converse(composition(top,A)) join complement(one) ->
% composition(top,A) join complement(one)
% Rule
% [432]
% converse(composition(top,sk1)) join complement(one) ->
% composition(top,sk1) join complement(one) collapsed.
% Current number of equations to process: 1865
% Current number of ordered equations: 0
% Current number of rules: 387
% New rule produced :
% [676]
% converse(composition(top,complement(converse(A)))) join composition(A,top) ->
% top
% Current number of equations to process: 2058
% Current number of ordered equations: 0
% Current number of rules: 388
% New rule produced :
% [677] composition(top,composition(A,top)) join complement(A) -> top
% Current number of equations to process: 2208
% Current number of ordered equations: 0
% Current number of rules: 389
% New rule produced :
% [678] composition(top,composition(complement(A),top)) join A -> top
% Current number of equations to process: 2242
% Current number of ordered equations: 0
% Current number of rules: 390
% New rule produced :
% [679]
% converse(complement(composition(complement(A),top))) join converse(A) ->
% converse(A)
% Current number of equations to process: 2542
% Current number of ordered equations: 0
% Current number of rules: 391
% New rule produced :
% [680]
% complement(converse(composition(top,complement(converse(A))))) join A -> A
% Current number of equations to process: 2601
% Current number of ordered equations: 0
% Current number of rules: 392
% New rule produced :
% [681]
% composition(A,composition(B,top)) join complement(composition(A,B)) -> top
% Current number of equations to process: 2890
% Current number of ordered equations: 0
% Current number of rules: 393
% New rule produced :
% [682]
% converse(composition(composition(top,complement(converse(A))),top)) join A ->
% top
% Current number of equations to process: 2888
% Current number of ordered equations: 0
% Current number of rules: 394
% New rule produced :
% [683]
% converse(composition(composition(top,complement(A)),top)) join converse(A) ->
% top
% Current number of equations to process: 2887
% Current number of ordered equations: 0
% Current number of rules: 395
% New rule produced :
% [684]
% composition(top,composition(A,top)) join complement(composition(B,A)) -> top
% Current number of equations to process: 3138
% Current number of ordered equations: 0
% Current number of rules: 396
% New rule produced :
% [685]
% complement(composition(top,composition(A,top))) join complement(A) ->
% complement(A)
% Current number of equations to process: 3338
% Current number of ordered equations: 0
% Current number of rules: 397
% New rule produced :
% [686]
% composition(top,complement(A)) join complement(composition(top,A)) ->
% composition(top,complement(A))
% Current number of equations to process: 3496
% Current number of ordered equations: 0
% Current number of rules: 398
% New rule produced :
% [687]
% composition(complement(A),top) join complement(composition(top,A)) ->
% composition(complement(A),top)
% Current number of equations to process: 3495
% Current number of ordered equations: 0
% Current number of rules: 399
% New rule produced :
% [688]
% composition(composition(top,complement(one)),composition(top,A)) ->
% composition(composition(top,complement(one)),A)
% Current number of equations to process: 3492
% Current number of ordered equations: 0
% Current number of rules: 400
% New rule produced :
% [689]
% composition(composition(A,top),composition(complement(one),top)) ->
% composition(A,composition(complement(one),top))
% Current number of equations to process: 3491
% Current number of ordered equations: 0
% Current number of rules: 401
% New rule produced :
% [690]
% composition(composition(converse(A),A),composition(top,B)) ->
% composition(converse(composition(top,A)),B)
% Current number of equations to process: 3484
% Current number of ordered equations: 0
% Current number of rules: 402
% New rule produced :
% [691]
% composition(converse(A),composition(A,composition(top,B))) ->
% composition(converse(composition(top,A)),B)
% Current number of equations to process: 3483
% Current number of ordered equations: 0
% Current number of rules: 403
% New rule produced :
% [692]
% composition(top,complement(A)) join complement(composition(A,top)) ->
% composition(top,complement(A))
% Current number of equations to process: 3480
% Current number of ordered equations: 0
% Current number of rules: 404
% New rule produced :
% [693]
% composition(complement(A),top) join complement(composition(A,top)) ->
% composition(complement(A),top)
% Current number of equations to process: 3479
% Current number of ordered equations: 0
% Current number of rules: 405
% New rule produced :
% [694]
% composition(top,A) join complement(composition(top,complement(A))) ->
% composition(top,A)
% Current number of equations to process: 3999
% Current number of ordered equations: 0
% Current number of rules: 406
% New rule produced :
% [695]
% composition(top,A) join complement(composition(complement(A),top)) ->
% composition(top,A)
% Current number of equations to process: 4156
% Current number of ordered equations: 0
% Current number of rules: 407
% New rule produced :
% [696]
% composition(A,top) join complement(composition(top,complement(A))) ->
% composition(A,top)
% Current number of equations to process: 3827
% Current number of ordered equations: 0
% Current number of rules: 408
% New rule produced :
% [697]
% composition(A,top) join complement(composition(complement(A),top)) ->
% composition(A,top)
% Current number of equations to process: 3970
% Current number of ordered equations: 0
% Current number of rules: 409
% New rule produced :
% [698]
% complement(converse(composition(complement(converse(A)),top))) join A -> A
% Current number of equations to process: 4735
% Current number of ordered equations: 0
% Current number of rules: 410
% New rule produced :
% [699]
% converse(composition(complement(converse(A)),top)) join composition(A,top) ->
% top
% Current number of equations to process: 4936
% Current number of ordered equations: 0
% Current number of rules: 411
% New rule produced :
% [700]
% converse(composition(top,composition(complement(converse(A)),top))) join A ->
% top
% Current number of equations to process: 4935
% Current number of ordered equations: 0
% Current number of rules: 412
% New rule produced :
% [701]
% converse(composition(composition(top,A),top)) ->
% composition(composition(top,A),top)
% Rule
% [529]
% converse(composition(composition(top,A),top)) join converse(complement(A)) ->
% top collapsed.
% Rule
% [682]
% converse(composition(composition(top,complement(converse(A))),top)) join A ->
% top collapsed.
% Rule
% [683]
% converse(composition(composition(top,complement(A)),top)) join converse(A) ->
% top collapsed.
% Current number of equations to process: 1869
% Current number of ordered equations: 0
% Current number of rules: 410
% New rule produced :
% [702] converse(complement(A)) join composition(composition(top,A),top) -> top
% Current number of equations to process: 1868
% Current number of ordered equations: 0
% Current number of rules: 411
% New rule produced :
% [703] composition(composition(top,complement(converse(A))),top) join A -> top
% Current number of equations to process: 1867
% Current number of ordered equations: 0
% Current number of rules: 412
% New rule produced :
% [704] converse(A) join composition(composition(top,complement(A)),top) -> top
% Current number of equations to process: 1866
% Current number of ordered equations: 0
% Current number of rules: 413
% New rule produced :
% [705]
% composition(complement(converse(complement(composition(A,top)))),A) ->
% composition(top,A)
% Rule
% [469]
% converse(composition(complement(converse(complement(composition(A,top)))),A))
% -> converse(composition(top,A)) collapsed.
% Current number of equations to process: 1897
% Current number of ordered equations: 0
% Current number of rules: 413
% New rule produced :
% [706]
% composition(complement(composition(A,top)),top) join complement(A) ->
% complement(A)
% Current number of equations to process: 1990
% Current number of ordered equations: 0
% Current number of rules: 414
% New rule produced :
% [707] composition(complement(composition(complement(A),top)),B) join A -> A
% Rule
% [470] composition(complement(composition(complement(A),top)),top) join A -> A
% collapsed.
% Current number of equations to process: 2166
% Current number of ordered equations: 0
% Current number of rules: 414
% New rule produced :
% [708]
% converse(composition(top,composition(A,top))) ->
% composition(composition(top,A),top)
% Rule
% [499]
% converse(composition(top,composition(A,top))) join converse(complement(A)) ->
% top collapsed.
% Rule
% [506]
% converse(composition(top,composition(complement(A),top))) join converse(A) ->
% top collapsed.
% Rule
% [533]
% converse(composition(top,composition(A,top))) join complement(converse(A)) ->
% top collapsed.
% Rule
% [700]
% converse(composition(top,composition(complement(converse(A)),top))) join A ->
% top collapsed.
% Current number of equations to process: 2203
% Current number of ordered equations: 0
% Current number of rules: 411
% New rule produced :
% [709] composition(composition(top,A),top) join complement(converse(A)) -> top
% Current number of equations to process: 2206
% Current number of ordered equations: 0
% Current number of rules: 412
% New rule produced :
% [710] complement(composition(composition(top,complement(A)),top)) join A -> A
% Current number of equations to process: 2461
% Current number of ordered equations: 0
% Current number of rules: 413
% New rule produced :
% [711]
% complement(composition(complement(composition(complement(A),top)),top)) join A
% -> top
% Current number of equations to process: 3196
% Current number of ordered equations: 0
% Current number of rules: 414
% New rule produced :
% [712]
% composition(top,composition(complement(A),top)) join composition(top,A) ->
% top
% Current number of equations to process: 3195
% Current number of ordered equations: 0
% Current number of rules: 415
% New rule produced :
% [713]
% composition(composition(top,A),top) join composition(complement(A),top) ->
% top
% Current number of equations to process: 3194
% Current number of ordered equations: 0
% Current number of rules: 416
% New rule produced :
% [714]
% composition(top,complement(A)) join composition(composition(top,A),top) ->
% top
% Current number of equations to process: 3191
% Current number of ordered equations: 0
% Current number of rules: 417
% New rule produced :
% [715]
% converse(A) join composition(composition(top,A),top) ->
% composition(composition(top,A),Cputime limit exceeded (core dumped)
% 
% EOF
%------------------------------------------------------------------------------