CiME---2.01.TMO-Non.f

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%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : REL043-1 : TPTP v6.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n101.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 00:31:31 EDT 2014

% Result   : Timeout 300.06s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : REL043-1 : TPTP v6.0.0. Released v4.0.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n101.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 02:45:33 CDT 2014
% % CPUTime  : 300.06 
% Processing problem /tmp/CiME_39032_n101.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(sk1,converse(sk2)) join sk3 = sk3;
% ";
% 
% let s1 = status F "
% sk3 lr_lex;
% sk2 lr_lex;
% sk1 lr_lex;
% zero lr_lex;
% top lr_lex;
% converse lr_lex;
% one lr_lex;
% meet lr_lex;
% complement lr_lex;
% composition mul;
% join mul;
% ";
% 
% let p1 = precedence F "
% meet > composition > complement > converse > join > one > top > zero > sk1 > sk2 > sk3";
% 
% let s2 = status F "
% sk3 mul;
% sk2 mul;
% sk1 mul;
% zero mul;
% top mul;
% converse mul;
% one mul;
% composition mul;
% meet mul;
% complement mul;
% join mul;
% ";
% 
% let p2 = precedence F "
% meet > composition > complement > converse > join > one = top = zero = sk1 = sk2 = sk3";
% 
% let o_auto = AUTO Axioms;
% 
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 
% let Conjectures = equations F X " composition(complement(sk3),sk2) join complement(sk1) = complement(sk1);"
% ;
% (*
% let Red_Axioms = normalize_equations Defining_rules Axioms;
% 
% let Red_Conjectures =  normalize_equations Defining_rules Conjectures;
% *)
% #time on;
% 
% let res = prove_conj_by_ordered_completion o Axioms Conjectures;
% 
% #time off;
% 
% 
% let status = if res then "unsatisfiable" else "satisfiable";
% #quit;
% Verbose level is now 1
% 
% F : signature = <signature>
% X : variable_set = <variable set>
% 
% Axioms : (F,X) equations = { composition(composition(A,B),C) =
% composition(A,composition(B,C)),
% A =
% complement(complement(A) join complement(B)) join 
% complement(complement(A) join B),
% meet(A,B) =
% complement(complement(A) join complement(B)),
% composition(A,one) = A,
% composition(A join B,C) =
% composition(A,C) join composition(B,C),
% converse(converse(A)) = A,
% converse(A join B) =
% converse(A) join converse(B),
% converse(composition(A,B)) =
% composition(converse(B),converse(A)),
% composition(converse(A),complement(composition(A,B))) join 
% complement(B) = complement(B),
% top = complement(A) join A,
% zero = meet(A,complement(A)),
% sk3 join composition(sk1,converse(sk2)) = sk3 }
% (12 equation(s))
% s1 : F status = <status>
% p1 : F precedence = <precedence>
% s2 : F status = <status>
% p2 : F precedence = <precedence>
% o_auto : F term_ordering = <term ordering>
% o : F term_ordering = <term ordering>
% Conjectures : (F,X) equations = { composition(complement(sk3),sk2) join 
% complement(sk1) = complement(sk1) }
% (1 equation(s))
% time is now on
% 
% Initializing completion ...
% New rule produced : [1] converse(converse(A)) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 12
% Current number of rules: 1
% New rule produced : [2] composition(A,one) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 11
% Current number of rules: 2
% New rule produced : [3] 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] sk3 join composition(sk1,converse(sk2)) -> sk3
% 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.
% 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(sk1,converse(sk2)) -> 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] sk3 join complement(composition(sk1,converse(sk2))) -> sk3 join top
% Current number of equations to process: 44
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [25]
% converse(sk3) join converse(composition(sk1,converse(sk2))) -> converse(sk3)
% 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(sk1,converse(sk2)) -> 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(sk3,A) join composition(composition(sk1,converse(sk2)),A) ->
% composition(sk3,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(sk3) join converse(complement(composition(sk1,converse(sk2)))) ->
% 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(sk3) join complement(converse(composition(sk1,converse(sk2)))) ->
% top
% Current number of equations to process: 142
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [92] converse(top) join complement(converse(A) join B) join B -> top
% Current number of equations to process: 141
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [93]
% converse(composition(C,composition(B,converse(A)))) <->
% composition(composition(A,converse(B)),converse(C))
% Current number of equations to process: 139
% Current number of ordered equations: 3
% Current number of rules: 82
% New rule produced :
% [94]
% converse(composition(composition(C,converse(B)),A)) <->
% composition(converse(A),composition(B,converse(C)))
% Current number of equations to process: 139
% Current number of ordered equations: 2
% Current number of rules: 83
% New rule produced :
% [95]
% composition(converse(A),composition(B,converse(C))) <->
% converse(composition(composition(C,converse(B)),A))
% Current number of equations to process: 139
% Current number of ordered equations: 1
% Current number of rules: 84
% New rule produced :
% [96]
% composition(composition(A,converse(B)),converse(C)) <->
% converse(composition(C,composition(B,converse(A))))
% Current number of equations to process: 139
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [97]
% converse(composition(C,composition(converse(B),A))) <->
% composition(composition(converse(A),B),converse(C))
% Current number of equations to process: 136
% Current number of ordered equations: 3
% Current number of rules: 86
% New rule produced :
% [98]
% converse(composition(composition(converse(C),B),A)) <->
% composition(converse(A),composition(converse(B),C))
% Current number of equations to process: 136
% Current number of ordered equations: 2
% Current number of rules: 87
% New rule produced :
% [99]
% composition(converse(A),composition(converse(B),C)) <->
% converse(composition(composition(converse(C),B),A))
% Current number of equations to process: 136
% Current number of ordered equations: 1
% Current number of rules: 88
% New rule produced :
% [100]
% composition(composition(converse(A),B),converse(C)) <->
% converse(composition(C,composition(converse(B),A)))
% Current number of equations to process: 136
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [101] composition(top,A) join complement(composition(B,A)) -> top
% Current number of equations to process: 153
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [102]
% sk3 join composition(complement(sk1),converse(sk2)) ->
% sk3 join composition(top,converse(sk2))
% Current number of equations to process: 156
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [103]
% composition(composition(A,converse(one)),converse(B)) ->
% composition(A,converse(B))
% Current number of equations to process: 168
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [104]
% converse(composition(composition(C,converse(B)),converse(A))) <->
% composition(A,composition(B,converse(C)))
% Current number of equations to process: 171
% Current number of ordered equations: 1
% Current number of rules: 93
% New rule produced :
% [105]
% composition(A,composition(B,converse(C))) <->
% converse(composition(composition(C,converse(B)),converse(A)))
% Current number of equations to process: 171
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [106]
% converse(composition(composition(converse(C),B),converse(A))) <->
% composition(A,composition(converse(B),C))
% Current number of equations to process: 170
% Current number of ordered equations: 1
% Current number of rules: 95
% New rule produced :
% [107]
% composition(A,composition(converse(B),C)) <->
% converse(composition(composition(converse(C),B),converse(A)))
% Current number of equations to process: 170
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [108]
% converse(composition(converse(C),composition(B,converse(A)))) <->
% composition(composition(A,converse(B)),C)
% Current number of equations to process: 169
% Current number of ordered equations: 1
% Current number of rules: 97
% New rule produced :
% [109]
% composition(composition(A,converse(B)),C) <->
% converse(composition(converse(C),composition(B,converse(A))))
% Current number of equations to process: 169
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [110]
% converse(composition(converse(C),composition(converse(B),A))) <->
% composition(composition(converse(A),B),C)
% Current number of equations to process: 168
% Current number of ordered equations: 1
% Current number of rules: 99
% New rule produced :
% [111]
% composition(composition(converse(A),B),C) <->
% converse(composition(converse(C),composition(converse(B),A)))
% Current number of equations to process: 168
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [112]
% converse(composition(composition(A,B),converse(C))) <->
% composition(composition(C,converse(B)),converse(A))
% Current number of equations to process: 183
% Current number of ordered equations: 1
% Current number of rules: 101
% New rule produced :
% [113]
% composition(composition(C,converse(B)),converse(A)) <->
% converse(composition(composition(A,B),converse(C)))
% Current number of equations to process: 183
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [114]
% converse(composition(composition(A,converse(B)),converse(C))) <->
% composition(composition(C,B),converse(A))
% Current number of equations to process: 182
% Current number of ordered equations: 1
% Current number of rules: 103
% New rule produced :
% [115]
% composition(composition(C,B),converse(A)) <->
% converse(composition(composition(A,converse(B)),converse(C)))
% Current number of equations to process: 182
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [116]
% converse(composition(A,converse(composition(B,C)))) <->
% composition(B,converse(composition(A,converse(C))))
% Current number of equations to process: 198
% Current number of ordered equations: 1
% Current number of rules: 105
% New rule produced :
% [117]
% composition(B,converse(composition(A,converse(C)))) <->
% converse(composition(A,converse(composition(B,C))))
% Current number of equations to process: 198
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [118]
% converse(composition(A,converse(composition(B,converse(C))))) <->
% composition(B,converse(composition(A,C)))
% Current number of equations to process: 197
% Current number of ordered equations: 1
% Current number of rules: 107
% New rule produced :
% [119]
% composition(B,converse(composition(A,C))) <->
% converse(composition(A,converse(composition(B,converse(C)))))
% Current number of equations to process: 197
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [120]
% converse(composition(converse(composition(A,B)),C)) <->
% composition(converse(composition(converse(A),C)),B)
% Current number of equations to process: 212
% Current number of ordered equations: 1
% Current number of rules: 109
% New rule produced :
% [121]
% composition(converse(composition(converse(A),C)),B) <->
% converse(composition(converse(composition(A,B)),C))
% Current number of equations to process: 212
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [122]
% converse(composition(converse(composition(converse(A),B)),C)) <->
% composition(converse(composition(A,C)),B)
% Current number of equations to process: 211
% Current number of ordered equations: 1
% Current number of rules: 111
% New rule produced :
% [123]
% composition(converse(composition(A,C)),B) <->
% converse(composition(converse(composition(converse(A),B)),C))
% Current number of equations to process: 211
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [124]
% converse(composition(converse(A),composition(B,C))) <->
% composition(converse(C),composition(converse(B),A))
% Current number of equations to process: 231
% Current number of ordered equations: 1
% Current number of rules: 113
% New rule produced :
% [125]
% composition(converse(C),composition(converse(B),A)) <->
% converse(composition(converse(A),composition(B,C)))
% Current number of equations to process: 231
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [126]
% converse(composition(converse(A),composition(converse(B),C))) <->
% composition(converse(C),composition(B,A))
% Current number of equations to process: 232
% Current number of ordered equations: 1
% Current number of rules: 115
% New rule produced :
% [127]
% composition(converse(C),composition(B,A)) <->
% converse(composition(converse(A),composition(converse(B),C)))
% Current number of equations to process: 232
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [128]
% composition(A,complement(converse(A))) join complement(one) ->
% complement(one)
% Current number of equations to process: 752
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [129]
% converse(composition(converse(zero),top)) join complement(one) ->
% complement(one)
% Current number of equations to process: 751
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [130]
% complement(one) join complement(composition(converse(A),complement(A))) ->
% top
% Current number of equations to process: 753
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced : [131] zero join one -> one
% Current number of equations to process: 756
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [132]
% zero join composition(A,complement(composition(converse(A),top))) -> zero
% Current number of equations to process: 776
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [133]
% zero join complement(composition(converse(A),complement(composition(A,top))))
% -> top
% Current number of equations to process: 775
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [134] composition(top,A) join composition(B,A) -> composition(top,A)
% Rule [69] composition(zero,A) join composition(top,A) -> composition(top,A)
% collapsed.
% Current number of equations to process: 784
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced : [135] complement(zero) -> top
% Current number of equations to process: 786
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced : [136] zero join zero -> zero
% Current number of equations to process: 793
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced : [137] complement(complement(A join A) join A) -> zero
% Current number of equations to process: 803
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [138] complement(complement(A join A) join A join B) -> zero
% Current number of equations to process: 801
% Current number of ordered equations: 1
% Current number of rules: 126
% New rule produced :
% [139] complement(zero join A) join complement(B) join A -> top
% Current number of equations to process: 801
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced : [140] A join A <-> zero join A
% Current number of equations to process: 806
% Current number of ordered equations: 1
% Current number of rules: 128
% New rule produced : [141] zero join A <-> A join A
% Current number of equations to process: 806
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [142]
% 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: 130
% New rule produced :
% [143]
% 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: 131
% New rule produced :
% [144]
% 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: 132
% New rule produced :
% [145]
% 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: 133
% New rule produced :
% [146]
% 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: 132
% New rule produced :
% [147] 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: 131
% New rule produced :
% [148]
% 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: 132
% New rule produced :
% [149]
% 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: 133
% New rule produced :
% [150]
% 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: 134
% New rule produced :
% [151] converse(top) join complement(converse(A) join converse(B)) -> top
% Current number of equations to process: 916
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [152]
% converse(composition(converse(A),complement(A))) join converse(complement(one))
% -> converse(complement(one))
% Current number of equations to process: 938
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [153] complement(complement(A join B join B) join A join B) -> zero
% Current number of equations to process: 936
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [154]
% complement(composition(A,complement(composition(converse(A),B)))) join 
% complement(B) -> top
% Current number of equations to process: 935
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [155]
% composition(sk3,A) join complement(composition(composition(sk1,converse(sk2)),A))
% -> top
% Current number of equations to process: 934
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [156]
% composition(sk3,A) join composition(sk1,composition(converse(sk2),A)) ->
% composition(sk3,A)
% Current number of equations to process: 933
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [157]
% complement(converse(complement(A join A)) join converse(A)) ->
% zero join complement(converse(top))
% Current number of equations to process: 931
% Current number of ordered equations: 0
% Current number of rules: 141
% Rule [157]
% complement(converse(complement(A join A)) join converse(A)) ->
% zero join complement(converse(top)) is composed into [157]
% complement(
% converse(complement(
% A join A)) join 
% converse(A)) ->
% zero join complement(top)
% Rule [90]
% converse(sk3) join converse(complement(composition(sk1,converse(sk2))))
% -> converse(top) is composed into [90]
% converse(sk3) join converse(complement(
% composition(sk1,
% converse(sk2))))
% -> 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 : [158] converse(top) -> top
% Rule [62] converse(top) join complement(converse(A)) -> top collapsed.
% Rule [66] converse(top) join converse(A) -> converse(top) collapsed.
% Rule [92] converse(top) join complement(converse(A) join B) join B -> top
% collapsed.
% Rule [151] converse(top) join complement(converse(A) join converse(B)) -> top
% collapsed.
% Current number of equations to process: 932
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced : [159] complement(zero join A) join A join B -> top
% Rule [139] complement(zero join A) join complement(B) join A -> top
% collapsed.
% Current number of equations to process: 942
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced : [160] 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: 943
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced : [161] complement(zero join A) join A -> top
% Rule [159] complement(zero join A) join A join B -> top collapsed.
% Current number of equations to process: 943
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [162] composition(converse(B),complement(composition(B,top))) join A -> A
% Rule
% [45]
% zero join composition(converse(A),complement(composition(A,top))) -> zero
% collapsed.
% Rule
% [149]
% composition(converse(B),complement(composition(B,top))) join complement(A) ->
% complement(A) collapsed.
% Current number of equations to process: 942
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [163]
% converse(zero) join converse(complement(zero join complement(A))) ->
% converse(A)
% Current number of equations to process: 941
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced : [164] zero join A join A -> zero join A
% Current number of equations to process: 1058
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [165]
% complement(zero join complement(A)) join complement(B) ->
% complement(B) join A
% Current number of equations to process: 1056
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [166] converse(complement(converse(zero))) join complement(A) -> top
% Current number of equations to process: 1151
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced : [167] converse(one) -> one
% Rule [65] composition(converse(one),A) -> A collapsed.
% Rule
% [70]
% composition(A,converse(composition(B,converse(one)))) ->
% composition(A,converse(B)) collapsed.
% Rule
% [103]
% composition(composition(A,converse(one)),converse(B)) ->
% composition(A,converse(B)) collapsed.
% Current number of equations to process: 1168
% Current number of ordered equations: 0
% Current number of rules: 139
% 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 : [168] composition(one,A) -> A
% Rule [22] composition(A,composition(one,B)) -> composition(A,B) 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.
% Current number of equations to process: 1167
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [169] composition(complement(one),A) join A -> composition(top,A)
% Current number of equations to process: 1166
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [170]
% sk3 join converse(complement(converse(composition(sk1,converse(sk2))))) ->
% top
% Current number of equations to process: 1166
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [171]
% converse(complement(converse(composition(A,B)))) join composition(top,B) ->
% top
% Current number of equations to process: 1250
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [172]
% converse(complement(converse(complement(A join A)))) join complement(A) ->
% top
% Current number of equations to process: 1249
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [173]
% composition(B,converse(composition(converse(C),A))) <->
% composition(converse(composition(A,converse(B))),C)
% Current number of equations to process: 1248
% Current number of ordered equations: 1
% Current number of rules: 141
% New rule produced :
% [174]
% composition(converse(composition(A,converse(B))),C) <->
% composition(B,converse(composition(converse(C),A)))
% Current number of equations to process: 1248
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [175]
% converse(composition(composition(A,converse(B)),C)) <->
% composition(composition(converse(C),B),converse(A))
% Current number of equations to process: 1462
% Current number of ordered equations: 1
% Current number of rules: 143
% New rule produced :
% [176]
% composition(composition(converse(C),B),converse(A)) <->
% converse(composition(composition(A,converse(B)),C))
% Current number of equations to process: 1462
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [177]
% converse(composition(A,composition(converse(B),C))) <->
% composition(converse(C),composition(B,converse(A)))
% Current number of equations to process: 1577
% Current number of ordered equations: 1
% Current number of rules: 145
% New rule produced :
% [178]
% composition(converse(C),composition(B,converse(A))) <->
% converse(composition(A,composition(converse(B),C)))
% Current number of equations to process: 1577
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [179]
% converse(composition(converse(C),composition(B,converse(A)))) <->
% composition(A,composition(converse(B),C))
% Current number of equations to process: 2310
% Current number of ordered equations: 1
% Current number of rules: 147
% New rule produced :
% [180]
% composition(A,composition(converse(B),C)) <->
% converse(composition(converse(C),composition(B,converse(A))))
% Current number of equations to process: 2310
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [181]
% converse(composition(composition(converse(C),B),converse(A))) <->
% composition(composition(A,converse(B)),C)
% Current number of equations to process: 2309
% Current number of ordered equations: 1
% Current number of rules: 149
% New rule produced :
% [182]
% composition(composition(A,converse(B)),C) <->
% converse(composition(composition(converse(C),B),converse(A)))
% Current number of equations to process: 2309
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [183]
% converse(composition(top,A)) join converse(complement(composition(B,A))) ->
% top
% Current number of equations to process: 3025
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [184]
% composition(top,converse(A)) join complement(converse(composition(A,B))) ->
% top
% Current number of equations to process: 3024
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [185]
% composition(top,A) join complement(composition(B,composition(C,A))) -> top
% Current number of equations to process: 3023
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [186]
% converse(composition(A,top)) join complement(composition(B,converse(A))) ->
% top
% Current number of equations to process: 3022
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [187]
% composition(top,A) join complement(converse(composition(converse(A),B))) ->
% top
% Current number of equations to process: 3021
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [188]
% complement(one) join complement(composition(A,complement(converse(A)))) ->
% top
% Current number of equations to process: 1386
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [189]
% complement(one) join complement(converse(composition(converse(zero),top))) ->
% top
% Current number of equations to process: 1462
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [190]
% converse(complement(one)) join composition(converse(zero),top) ->
% converse(complement(one))
% Current number of equations to process: 1461
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [191] composition(top,zero) join complement(one) -> complement(one)
% Current number of equations to process: 1464
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [192]
% converse(complement(composition(converse(zero),top))) join complement(one) ->
% top
% Current number of equations to process: 1463
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [193] complement(one) join complement(composition(top,zero)) -> top
% Current number of equations to process: 1478
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [194]
% complement(one) join complement(converse(composition(converse(A),complement(A))))
% -> top
% Current number of equations to process: 1485
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced : [195] one join converse(zero) -> one
% Current number of equations to process: 1549
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced : [196] composition(zero,A) join A -> A
% Current number of equations to process: 1551
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced : [197] one join converse(complement(one)) -> top
% Current number of equations to process: 1554
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [198] one join converse(complement(converse(zero))) -> top
% Current number of equations to process: 1563
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [199] one join complement(A join A) -> one join complement(A)
% Current number of equations to process: 1565
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [200] one join complement(zero join complement(A)) -> one join A
% Current number of equations to process: 1564
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [201]
% zero join composition(A,complement(converse(composition(top,A)))) -> zero
% Current number of equations to process: 1579
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [202]
% zero join complement(composition(A,complement(composition(converse(A),top))))
% -> top
% Current number of equations to process: 1582
% Current number of ordered equations: 0
% Current number of rules: 170
% Rule [157]
% complement(converse(complement(A join A)) join converse(A)) ->
% zero join complement(top) is composed into [157]
% complement(converse(complement(
% A join A)) join 
% converse(A)) ->
% complement(top)
% Rule [140] A join A <-> zero join A is composed into [140] A join A -> A
% New rule produced : [203] zero join A -> A
% Rule [23] zero join top -> top collapsed.
% Rule [53] zero join complement(A join A) -> complement(A) collapsed.
% Rule [131] zero join one -> one collapsed.
% Rule
% [132]
% zero join composition(A,complement(composition(converse(A),top))) -> zero
% collapsed.
% Rule
% [133]
% zero join complement(composition(converse(A),complement(composition(A,top))))
% -> top collapsed.
% Rule [136] zero join zero -> zero collapsed.
% Rule [141] zero join A <-> A join A collapsed.
% Rule [160] zero join complement(zero join A) -> complement(A) collapsed.
% Rule [161] complement(zero join A) join A -> top collapsed.
% Rule
% [163]
% converse(zero) join converse(complement(zero join complement(A))) ->
% converse(A) collapsed.
% Rule [164] zero join A join A -> zero join A collapsed.
% Rule
% [165]
% complement(zero join complement(A)) join complement(B) ->
% complement(B) join A collapsed.
% Rule [200] one join complement(zero join complement(A)) -> one join A
% collapsed.
% Rule
% [201]
% zero join composition(A,complement(converse(composition(top,A)))) -> zero
% collapsed.
% Rule
% [202]
% zero join complement(composition(A,complement(composition(converse(A),top))))
% -> top collapsed.
% Current number of equations to process: 1594
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [204] composition(A,complement(composition(converse(A),top))) -> zero
% Current number of equations to process: 1592
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [205] composition(A,complement(converse(composition(top,A)))) -> zero
% Current number of equations to process: 1591
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced : [206] converse(zero) join converse(A) -> converse(A)
% Rule
% [142]
% converse(zero) join converse(complement(A join A)) -> converse(complement(A))
% collapsed.
% Current number of equations to process: 1590
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [207]
% complement(composition(converse(A),complement(composition(A,top)))) -> top
% Current number of equations to process: 1589
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [208] composition(converse(zero),top) join complement(one) -> complement(one)
% Current number of equations to process: 1684
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [209] complement(one) join complement(composition(converse(zero),top)) -> top
% Current number of equations to process: 1683
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [210]
% composition(top,A) join composition(B,composition(C,A)) -> composition(top,A)
% Current number of equations to process: 1683
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [211]
% converse(composition(converse(A),B)) join composition(top,A) ->
% composition(top,A)
% Current number of equations to process: 1682
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [212] converse(composition(top,zero)) join complement(one) -> complement(one)
% Current number of equations to process: 1702
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [213]
% converse(composition(A,complement(converse(A)))) join complement(one) ->
% complement(one)
% Current number of equations to process: 1704
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [214]
% converse(complement(one)) join composition(converse(A),complement(A)) ->
% converse(complement(one))
% Current number of equations to process: 1709
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [215]
% converse(complement(composition(converse(A),complement(A)))) join complement(one)
% -> top
% Current number of equations to process: 1708
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [216]
% converse(composition(top,A)) join converse(composition(B,A)) ->
% converse(composition(top,A))
% Current number of equations to process: 1832
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [217]
% converse(composition(A,B)) join composition(top,converse(A)) ->
% composition(top,converse(A))
% Current number of equations to process: 1831
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [218]
% converse(composition(A,top)) join composition(B,converse(A)) <->
% composition(top,converse(A))
% Current number of equations to process: 1830
% Current number of ordered equations: 1
% Current number of rules: 170
% Rule [218]
% converse(composition(A,top)) join composition(B,converse(A)) <->
% composition(top,converse(A)) is composed into [218]
% converse(composition(A,top)) join 
% composition(B,converse(A))
% <->
% converse(composition(A,top)) join 
% composition(sk3,converse(A))
% Rule [102]
% sk3 join composition(complement(sk1),converse(sk2)) ->
% sk3 join composition(top,converse(sk2)) is composed into [102]
% sk3 join 
% composition(
% complement(sk1),
% converse(sk2))
% ->
% sk3 join 
% converse(
% composition(sk2,top)) join 
% composition(sk3,
% converse(sk2))
% New rule produced :
% [219]
% composition(top,converse(A)) <->
% converse(composition(A,top)) join composition(B,converse(A))
% Rule
% [184]
% composition(top,converse(A)) join complement(converse(composition(A,B))) ->
% top collapsed.
% Rule
% [217]
% converse(composition(A,B)) join composition(top,converse(A)) ->
% composition(top,converse(A)) collapsed.
% Current number of equations to process: 1831
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [220] complement(complement(A join B) join complement(B)) -> B
% Current number of equations to process: 1980
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [221] complement(complement(complement(A) join B) join A) -> complement(A)
% Current number of equations to process: 1979
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [222]
% complement(converse(A) join complement(converse(complement(A)))) ->
% complement(converse(A))
% Current number of equations to process: 2028
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [223]
% complement(converse(complement(A)) join complement(converse(A))) ->
% complement(converse(complement(A)))
% Current number of equations to process: 2051
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [224]
% complement(complement(complement(A join B) join B) join A) -> complement(A)
% Current number of equations to process: 2090
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [225]
% complement(complement(sk3) join complement(composition(sk1,converse(sk2))))
% -> composition(sk1,converse(sk2))
% Current number of equations to process: 2089
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced : [226] complement(A join B) join B -> complement(A) join B
% Rule
% [60]
% complement(complement(A) join B) join B <->
% complement(complement(B) join A) join A collapsed.
% Rule [137] complement(complement(A join A) join A) -> zero collapsed.
% Rule [138] complement(complement(A join A) join A join B) -> zero collapsed.
% Rule [153] complement(complement(A join B join B) join A join B) -> zero
% collapsed.
% Rule
% [224]
% complement(complement(complement(A join B) join B) join A) -> complement(A)
% collapsed.
% Current number of equations to process: 2212
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [227]
% complement(complement(converse(complement(converse(A)))) join A) ->
% complement(A)
% Current number of equations to process: 2232
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [228]
% complement(converse(complement(converse(A))) join complement(A)) ->
% complement(converse(complement(converse(A))))
% Current number of equations to process: 2258
% Current number of ordered equations: 1
% Current number of rules: 173
% New rule produced :
% [229]
% converse(complement(converse(complement(A join B)))) join complement(B) ->
% top
% Rule
% [172]
% converse(complement(converse(complement(A join A)))) join complement(A) ->
% top collapsed.
% Current number of equations to process: 2258
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [230] complement(A join B) join complement(A) -> complement(A)
% Rule [220] complement(complement(A join B) join complement(B)) -> B
% collapsed.
% Current number of equations to process: 2338
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [231] composition(A,top) join composition(A,B) -> composition(A,top)
% Current number of equations to process: 2418
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [232]
% composition(A,complement(B)) join composition(A,B) -> composition(A,top)
% Current number of equations to process: 2422
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [233]
% complement(converse(complement(converse(complement(A)))) join A) ->
% complement(converse(complement(converse(complement(A)))))
% Current number of equations to process: 2633
% Current number of ordered equations: 1
% Current number of rules: 176
% New rule produced :
% [234]
% complement(complement(converse(complement(converse(A))) join B) join A) ->
% complement(A)
% Current number of equations to process: 2633
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [235]
% one join complement(composition(A,complement(converse(A)))) ->
% complement(composition(A,complement(converse(A))))
% Current number of equations to process: 2632
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [236]
% one join complement(converse(composition(converse(zero),top))) ->
% complement(converse(composition(converse(zero),top)))
% Current number of equations to process: 2631
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [237]
% complement(composition(top,A)) join complement(composition(B,A)) ->
% complement(composition(B,A))
% Current number of equations to process: 2630
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [238]
% converse(composition(A,top)) join complement(converse(composition(A,B))) ->
% top
% Current number of equations to process: 2789
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [239]
% converse(composition(A,top)) join converse(A) -> converse(composition(A,top))
% Current number of equations to process: 2792
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [240] converse(composition(converse(A),top)) -> composition(top,A)
% Rule
% [129]
% converse(composition(converse(zero),top)) join complement(one) ->
% complement(one) collapsed.
% Rule
% [189]
% complement(one) join complement(converse(composition(converse(zero),top))) ->
% top collapsed.
% Rule
% [236]
% one join complement(converse(composition(converse(zero),top))) ->
% complement(converse(composition(converse(zero),top))) collapsed.
% Current number of equations to process: 2809
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [241]
% one join complement(composition(top,zero)) ->
% complement(composition(top,zero))
% Current number of equations to process: 2808
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [242]
% converse(composition(A,top)) join converse(complement(composition(A,B))) ->
% top
% Current number of equations to process: 2812
% Current number of ordered equations: 0
% Current number of rules: 182
% Rule [219]
% composition(top,converse(A)) <->
% converse(composition(A,top)) join composition(B,converse(A)) is composed into 
% [219] composition(top,converse(A)) -> converse(composition(A,top))
% Rule [102]
% sk3 join composition(complement(sk1),converse(sk2)) ->
% sk3 join converse(composition(sk2,top)) join composition(sk3,converse(sk2)) is composed into 
% [102]
% sk3 join composition(complement(sk1),converse(sk2)) ->
% sk3 join converse(composition(sk2,top))
% New rule produced :
% [243]
% converse(composition(A,top)) join composition(B,converse(A)) ->
% converse(composition(A,top))
% Rule
% [218]
% 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: 2831
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [244]
% converse(composition(top,zero)) join converse(complement(one)) ->
% converse(complement(one))
% Current number of equations to process: 2897
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [245] converse(complement(converse(A) join converse(B))) join A join B -> top
% Current number of equations to process: 2902
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [246]
% composition(converse(complement(converse(B))),A) join composition(B,A) ->
% composition(top,A)
% Current number of equations to process: 2901
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [247]
% converse(complement(composition(A,converse(B)))) join composition(B,converse(A))
% -> top
% Current number of equations to process: 2900
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [248]
% converse(complement(composition(converse(A),B))) join composition(converse(B),A)
% -> top
% Current number of equations to process: 2899
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [249]
% converse(complement(converse(composition(converse(A),complement(A))))) join 
% complement(one) -> top
% Current number of equations to process: 2898
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [250]
% converse(composition(A,complement(converse(A)))) join converse(complement(one))
% -> converse(complement(one))
% Current number of equations to process: 2891
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [251]
% converse(complement(converse(composition(A,complement(converse(A)))))) join 
% complement(one) -> top
% Current number of equations to process: 2890
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [252]
% converse(complement(one)) join converse(complement(composition(converse(A),
% complement(A)))) -> top
% Current number of equations to process: 2887
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [253]
% complement(composition(converse(A),complement(composition(A,complement(B))))) join B
% -> top
% Current number of equations to process: 2882
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [254]
% complement(converse(A) join complement(converse(complement(A)) join B)) ->
% complement(converse(A))
% Current number of equations to process: 2880
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [255]
% complement(one join complement(composition(converse(A),complement(A)))) ->
% composition(converse(A),complement(A))
% Current number of equations to process: 2876
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [256]
% composition(A,sk3) join composition(A,composition(sk1,converse(sk2))) ->
% composition(A,sk3)
% Current number of equations to process: 2875
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [257]
% composition(A,converse(complement(B))) join composition(A,converse(B)) ->
% composition(A,top)
% Current number of equations to process: 2874
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [258]
% composition(A,converse(complement(converse(B)))) join composition(A,B) ->
% composition(A,top)
% Current number of equations to process: 2873
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [259]
% complement(composition(A,complement(composition(converse(A),complement(B))))) join B
% -> top
% Current number of equations to process: 2872
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [260]
% composition(A,complement(converse(composition(converse(complement(B)),A)))) join B
% -> B
% Current number of equations to process: 2871
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [261]
% converse(complement(one)) join complement(converse(composition(converse(A),
% complement(A)))) -> top
% Current number of equations to process: 2869
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [262]
% converse(complement(one)) join composition(top,zero) ->
% converse(complement(one))
% Current number of equations to process: 2915
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [263]
% complement(composition(converse(A),complement(composition(A,B)))) join 
% complement(B) -> top
% Current number of equations to process: 2972
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [264]
% composition(sk3,A) join complement(composition(sk1,composition(converse(sk2),A)))
% -> top
% Current number of equations to process: 3090
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [265] composition(converse(A),top) -> converse(composition(top,A))
% Rule
% [190]
% converse(complement(one)) join composition(converse(zero),top) ->
% converse(complement(one)) collapsed.
% Rule
% [192]
% converse(complement(composition(converse(zero),top))) join complement(one) ->
% top collapsed.
% Rule [204] composition(A,complement(composition(converse(A),top))) -> zero
% collapsed.
% Rule
% [208] composition(converse(zero),top) join complement(one) -> complement(one)
% collapsed.
% Rule
% [209] complement(one) join complement(composition(converse(zero),top)) -> top
% collapsed.
% Rule [240] converse(composition(converse(A),top)) -> composition(top,A)
% collapsed.
% Current number of equations to process: 3193
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [266] complement(one) join complement(converse(composition(top,zero))) -> top
% Current number of equations to process: 3219
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [267]
% composition(A,converse(composition(B,top))) <->
% composition(composition(A,top),converse(B))
% Current number of equations to process: 3217
% Current number of ordered equations: 2
% Current number of rules: 200
% New rule produced :
% [268]
% composition(composition(A,converse(B)),top) ->
% composition(A,converse(composition(top,B)))
% Current number of equations to process: 3217
% Current number of ordered equations: 1
% Current number of rules: 201
% New rule produced :
% [269]
% composition(composition(A,top),converse(B)) <->
% composition(A,converse(composition(B,top)))
% Current number of equations to process: 3217
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [270]
% composition(converse(A),composition(top,B)) <->
% composition(converse(composition(top,A)),B)
% Current number of equations to process: 3215
% Current number of ordered equations: 2
% Current number of rules: 203
% New rule produced :
% [271]
% composition(top,composition(converse(A),B)) ->
% composition(converse(composition(A,top)),B)
% Current number of equations to process: 3215
% Current number of ordered equations: 1
% Current number of rules: 204
% New rule produced :
% [272]
% composition(converse(composition(top,A)),B) <->
% composition(converse(A),composition(top,B))
% Current number of equations to process: 3215
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [273]
% converse(complement(converse(composition(top,zero)))) join complement(one) ->
% top
% Current number of equations to process: 3209
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [274] composition(top,complement(composition(top,complement(A)))) join A -> A
% Current number of equations to process: 3208
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [275]
% composition(top,complement(composition(top,A))) join complement(A) ->
% complement(A)
% Current number of equations to process: 3207
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [276]
% converse(composition(composition(B,top),converse(A))) <->
% composition(composition(A,top),converse(B))
% Current number of equations to process: 3202
% Current number of ordered equations: 1
% Current number of rules: 209
% New rule produced :
% [277]
% composition(composition(A,top),converse(B)) <->
% converse(composition(composition(B,top),converse(A)))
% Current number of equations to process: 3202
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [278]
% converse(composition(B,converse(composition(A,top)))) <->
% composition(A,converse(composition(B,top)))
% Current number of equations to process: 3200
% Current number of ordered equations: 1
% Current number of rules: 211
% New rule produced :
% [279]
% composition(A,converse(composition(B,top))) <->
% converse(composition(B,converse(composition(A,top))))
% Current number of equations to process: 3200
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [280]
% converse(composition(converse(composition(top,B)),A)) <->
% composition(converse(composition(top,A)),B)
% Current number of equations to process: 3198
% Current number of ordered equations: 1
% Current number of rules: 213
% New rule produced :
% [281]
% composition(converse(composition(top,A)),B) <->
% converse(composition(converse(composition(top,B)),A))
% Current number of equations to process: 3198
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [282]
% converse(composition(converse(B),composition(top,A))) <->
% composition(converse(A),composition(top,B))
% Current number of equations to process: 3195
% Current number of ordered equations: 1
% Current number of rules: 215
% New rule produced :
% [283]
% composition(converse(A),composition(top,B)) <->
% converse(composition(converse(B),composition(top,A)))
% Current number of equations to process: 3195
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [284]
% complement(composition(top,complement(composition(top,A)))) join complement(A)
% -> top
% Current number of equations to process: 3192
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [285] composition(top,complement(composition(top,top))) join A -> A
% Current number of equations to process: 3208
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced : [286] converse(complement(converse(zero))) -> top
% Rule [166] converse(complement(converse(zero))) join complement(A) -> top
% collapsed.
% Rule [198] one join converse(complement(converse(zero))) -> top collapsed.
% Current number of equations to process: 3213
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [287] converse(complement(one)) join complement(one) -> complement(one)
% Current number of equations to process: 3215
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [288] converse(complement(A)) join complement(converse(zero)) -> top
% Current number of equations to process: 3214
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced : [289] composition(top,A) join complement(A) -> top
% Current number of equations to process: 3215
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced : [290] composition(top,A) join A -> composition(top,A)
% Current number of equations to process: 3216
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced : [291] composition(top,top) -> top
% Rule [285] composition(top,complement(composition(top,top))) join A -> A
% collapsed.
% Current number of equations to process: 3227
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced : [292] composition(top,zero) join A -> A
% Rule [191] composition(top,zero) join complement(one) -> complement(one)
% collapsed.
% Rule
% [262]
% converse(complement(one)) join composition(top,zero) ->
% converse(complement(one)) collapsed.
% Current number of equations to process: 3225
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [293] converse(complement(converse(A))) join composition(top,A) -> top
% Current number of equations to process: 3223
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced : [294] composition(top,complement(A)) join A -> top
% Current number of equations to process: 3227
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced :
% [295] converse(composition(A,top)) join converse(complement(A)) -> top
% Current number of equations to process: 3252
% Current number of ordered equations: 1
% Current number of rules: 223
% New rule produced :
% [296] converse(composition(complement(A),top)) join converse(A) -> top
% Current number of equations to process: 3252
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [297]
% composition(sk1,converse(sk2)) join composition(top,sk3) ->
% composition(top,sk3)
% Current number of equations to process: 3259
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced :
% [298]
% sk3 join composition(top,complement(composition(sk1,converse(sk2)))) -> top
% Current number of equations to process: 3257
% Current number of ordered equations: 1
% Current number of rules: 226
% New rule produced :
% [299]
% composition(top,sk3) join complement(composition(sk1,converse(sk2))) -> top
% Current number of equations to process: 3257
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced :
% [300]
% composition(top,composition(complement(one),A)) join A -> composition(top,A)
% Current number of equations to process: 3347
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced :
% [301]
% converse(composition(complement(one),A)) join converse(A) ->
% converse(composition(top,A))
% Current number of equations to process: 3346
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced :
% [302]
% converse(complement(converse(composition(converse(A),complement(composition(A,top))))))
% -> top
% Current number of equations to process: 3345
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced :
% [303]
% composition(converse(A),complement(composition(A,top))) <->
% composition(converse(B),complement(composition(B,top)))
% Current number of equations to process: 3344
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [304] one join converse(complement(one join A)) join converse(A) -> top
% Current number of equations to process: 3342
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced :
% [305]
% composition(top,complement(composition(A,B))) join composition(top,B) -> top
% Current number of equations to process: 3337
% Current number of ordered equations: 1
% Current number of rules: 233
% New rule produced :
% [306]
% composition(top,composition(top,A)) join complement(composition(B,A)) -> top
% Current number of equations to process: 3337
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced :
% [307]
% composition(top,composition(top,A)) join composition(B,A) ->
% composition(top,A)
% Current number of equations to process: 3336
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced :
% [308]
% converse(complement(composition(converse(A),B))) join composition(top,A) ->
% top
% Current number of equations to process: 3361
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [309]
% composition(complement(converse(A)),complement(composition(A,top))) ->
% composition(top,complement(composition(A,top)))
% Current number of equations to process: 3360
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced :
% [310]
% converse(composition(A,converse(complement(one)))) join converse(A) ->
% converse(composition(A,top))
% Current number of equations to process: 3359
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced :
% [311]
% converse(composition(top,A)) join complement(converse(composition(B,A))) ->
% top
% Current number of equations to process: 3396
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced :
% [312]
% converse(complement(converse(composition(A,B)))) join composition(A,top) ->
% top
% Current number of equations to process: 1676
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [313]
% converse(complement(composition(A,converse(B)))) join composition(B,top) ->
% top
% Current number of equations to process: 1675
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced :
% [314] converse(composition(top,A)) join converse(complement(A)) -> top
% Current number of equations to process: 1737
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced :
% [315] converse(composition(A,top)) join complement(converse(A)) -> top
% Current number of equations to process: 1979
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced : [316] composition(top,zero) -> zero
% Rule [193] complement(one) join complement(composition(top,zero)) -> top
% collapsed.
% Rule
% [212] converse(composition(top,zero)) join complement(one) -> complement(one)
% collapsed.
% Rule
% [241]
% one join complement(composition(top,zero)) ->
% complement(composition(top,zero)) collapsed.
% Rule
% [244]
% converse(composition(top,zero)) join converse(complement(one)) ->
% converse(complement(one)) collapsed.
% Rule
% [266] complement(one) join complement(converse(composition(top,zero))) -> top
% collapsed.
% Rule
% [273]
% converse(complement(converse(composition(top,zero)))) join complement(one) ->
% top collapsed.
% Rule [292] composition(top,zero) join A -> A collapsed.
% Current number of equations to process: 2156
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced :
% [317] converse(zero) join complement(one) -> complement(one)
% Current number of equations to process: 2155
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced :
% [318] complement(one) join complement(converse(zero)) -> top
% Current number of equations to process: 2154
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced :
% [319]
% complement(one) join complement(converse(composition(A,complement(converse(A)))))
% -> top
% Current number of equations to process: 2170
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [320] complement(one) join complement(converse(complement(one))) -> top
% Current number of equations to process: 2228
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced : [321] one join complement(converse(zero)) -> top
% Current number of equations to process: 2242
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced : [322] composition(converse(zero),A) join A -> A
% Current number of equations to process: 2243
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced : [323] complement(converse(zero)) -> top
% Rule [286] converse(complement(converse(zero))) -> top collapsed.
% Rule [288] converse(complement(A)) join complement(converse(zero)) -> top
% collapsed.
% Rule [318] complement(one) join complement(converse(zero)) -> top collapsed.
% Rule [321] one join complement(converse(zero)) -> top collapsed.
% Current number of equations to process: 2258
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced : [324] complement(converse(zero) join A) -> complement(A)
% Current number of equations to process: 2256
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced : [325] composition(A,converse(zero)) join A -> A
% Current number of equations to process: 2258
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced :
% [326] converse(complement(converse(composition(zero,A)))) join A -> top
% Current number of equations to process: 2261
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced : [327] complement(composition(zero,A)) join A -> top
% Current number of equations to process: 2262
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [328] converse(composition(zero,A)) join converse(A) -> converse(A)
% Current number of equations to process: 2272
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced : [329] one join composition(zero,converse(zero)) -> one
% Current number of equations to process: 2314
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced : [330] composition(zero,composition(zero,A)) join A -> A
% Current number of equations to process: 2313
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced : [331] complement(converse(complement(one))) -> one
% Rule [320] complement(one) join complement(converse(complement(one))) -> top
% collapsed.
% Current number of equations to process: 2330
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [332] one join converse(composition(complement(one),top)) -> top
% Current number of equations to process: 2332
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [333] composition(converse(complement(one)),A) join A -> composition(top,A)
% Current number of equations to process: 2331
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced :
% [334]
% complement(converse(complement(one)) join A) ->
% complement(complement(one) join A)
% Current number of equations to process: 2330
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [335] composition(A,converse(complement(one))) join A -> composition(A,top)
% Current number of equations to process: 2329
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced :
% [336] converse(composition(A,converse(zero))) join converse(A) -> converse(A)
% Current number of equations to process: 2327
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [337]
% complement(composition(zero,A)) join complement(A) ->
% complement(composition(zero,A))
% Current number of equations to process: 2326
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced :
% [338]
% complement(composition(zero,complement(A))) join A ->
% complement(composition(zero,complement(A)))
% Current number of equations to process: 2324
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [339] composition(converse(A),complement(composition(A,top))) -> zero
% Rule
% [162] composition(converse(B),complement(composition(B,top))) join A -> A
% collapsed.
% Rule
% [207]
% complement(composition(converse(A),complement(composition(A,top)))) -> top
% collapsed.
% Rule
% [302]
% converse(complement(converse(composition(converse(A),complement(composition(A,top))))))
% -> top collapsed.
% Rule
% [303]
% composition(converse(A),complement(composition(A,top))) <->
% composition(converse(B),complement(composition(B,top))) collapsed.
% Current number of equations to process: 2322
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced : [340] composition(complement(one),zero) -> zero
% Current number of equations to process: 2325
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced : [341] composition(zero,zero) -> zero
% Current number of equations to process: 2325
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced :
% [342] composition(zero,B) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 2323
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [343] composition(A,zero) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 2322
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [344]
% converse(composition(converse(B),A)) <->
% converse(zero) join composition(converse(A),B)
% Current number of equations to process: 2364
% Current number of ordered equations: 1
% Current number of rules: 256
% New rule produced :
% [345]
% converse(zero) join composition(converse(A),B) <->
% converse(composition(converse(B),A))
% Current number of equations to process: 2364
% Current number of ordered equations: 0
% Current number of rules: 257
% Rule [344]
% converse(composition(converse(B),A)) <->
% converse(zero) join composition(converse(A),B) is composed into 
% [344] converse(composition(converse(B),A)) <-> composition(converse(A),B)
% New rule produced : [346] converse(zero) join A -> A
% Rule [195] one join converse(zero) -> one collapsed.
% Rule [206] converse(zero) join converse(A) -> converse(A) collapsed.
% Rule [317] converse(zero) join complement(one) -> complement(one) collapsed.
% Rule [324] complement(converse(zero) join A) -> complement(A) collapsed.
% Rule
% [345]
% converse(zero) join composition(converse(A),B) <->
% converse(composition(converse(B),A)) collapsed.
% Current number of equations to process: 2365
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced :
% [347]
% one join composition(complement(one),converse(zero)) ->
% one join converse(composition(zero,top))
% Current number of equations to process: 2363
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [348]
% composition(zero,complement(A join B)) join complement(B) -> complement(B)
% Current number of equations to process: 2362
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [349]
% composition(composition(zero,A),B) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 2359
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [350]
% composition(A,composition(zero,B)) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 2358
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced :
% [351]
% composition(composition(A,B),complement(converse(composition(top,B)))) ->
% composition(A,zero)
% Current number of equations to process: 2356
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced :
% [352]
% composition(B,composition(complement(converse(composition(top,B))),A)) ->
% composition(zero,A)
% Current number of equations to process: 2355
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [353]
% composition(composition(sk1,converse(sk2)),complement(converse(composition(top,sk3))))
% -> zero
% Current number of equations to process: 2354
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced :
% [354]
% complement(A join B) join complement(composition(zero,A)) ->
% complement(composition(zero,A))
% Current number of equations to process: 2362
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced :
% [355]
% composition(top,complement(converse(composition(top,complement(one))))) ->
% complement(converse(composition(top,complement(one))))
% Current number of equations to process: 2358
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced :
% [356] composition(top,composition(top,A)) -> composition(top,A)
% Rule
% [306]
% composition(top,composition(top,A)) join complement(composition(B,A)) -> top
% collapsed.
% Rule
% [307]
% composition(top,composition(top,A)) join composition(B,A) ->
% composition(top,A) collapsed.
% Current number of equations to process: 2497
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced :
% [357]
% converse(complement(one)) join composition(A,complement(converse(A))) ->
% converse(complement(one))
% Current number of equations to process: 2617
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced :
% [358]
% converse(complement(composition(A,complement(converse(A))))) join complement(one)
% -> top
% Current number of equations to process: 2616
% Current number of ordered equations: 0
% Current number of rules: 263
% New rule produced :
% [359]
% converse(composition(top,A)) join composition(converse(A),B) ->
% converse(composition(top,A))
% Current number of equations to process: 2692
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced :
% [360]
% converse(complement(one)) join complement(composition(converse(A),complement(A)))
% -> top
% Current number of equations to process: 2695
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced : [361] converse(complement(one)) -> complement(one)
% Rule
% [152]
% converse(composition(converse(A),complement(A))) join converse(complement(one))
% -> converse(complement(one)) collapsed.
% Rule [197] one join converse(complement(one)) -> top collapsed.
% Rule
% [214]
% converse(complement(one)) join composition(converse(A),complement(A)) ->
% converse(complement(one)) collapsed.
% Rule
% [250]
% converse(composition(A,complement(converse(A)))) join converse(complement(one))
% -> converse(complement(one)) collapsed.
% Rule
% [252]
% converse(complement(one)) join converse(complement(composition(converse(A),
% complement(A)))) -> top
% collapsed.
% Rule
% [261]
% converse(complement(one)) join complement(converse(composition(converse(A),
% complement(A)))) -> top
% collapsed.
% Rule [287] converse(complement(one)) join complement(one) -> complement(one)
% collapsed.
% Rule
% [310]
% converse(composition(A,converse(complement(one)))) join converse(A) ->
% converse(composition(A,top)) collapsed.
% Rule [331] complement(converse(complement(one))) -> one collapsed.
% Rule
% [333] composition(converse(complement(one)),A) join A -> composition(top,A)
% collapsed.
% Rule
% [334]
% complement(converse(complement(one)) join A) ->
% complement(complement(one) join A) collapsed.
% Rule
% [335] composition(A,converse(complement(one))) join A -> composition(A,top)
% collapsed.
% Rule
% [357]
% converse(complement(one)) join composition(A,complement(converse(A))) ->
% converse(complement(one)) collapsed.
% Rule
% [360]
% converse(complement(one)) join complement(composition(converse(A),complement(A)))
% -> top collapsed.
% Current number of equations to process: 2766
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [362] composition(A,complement(one)) join A -> composition(A,top)
% Current number of equations to process: 2764
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced :
% [363]
% converse(composition(A,complement(one))) join converse(A) ->
% converse(composition(A,top))
% Current number of equations to process: 2763
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [364]
% one join complement(composition(converse(A),complement(A))) ->
% complement(composition(converse(A),complement(A)))
% Rule
% [255]
% complement(one join complement(composition(converse(A),complement(A)))) ->
% composition(converse(A),complement(A)) collapsed.
% Current number of equations to process: 2764
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [365]
% converse(composition(A,converse(B))) join composition(B,top) ->
% composition(B,top)
% Current number of equations to process: 2869
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [366]
% converse(composition(top,A)) join converse(A) -> converse(composition(top,A))
% Current number of equations to process: 2940
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced : [367] complement(complement(A) join B) join A -> A
% Rule
% [221] complement(complement(complement(A) join B) join A) -> complement(A)
% collapsed.
% Current number of equations to process: 2970
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [368] converse(A) join complement(converse(complement(A))) -> converse(A)
% Rule
% [222]
% complement(converse(A) join complement(converse(complement(A)))) ->
% complement(converse(A)) collapsed.
% Current number of equations to process: 2970
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [369]
% converse(complement(A)) join complement(converse(A)) ->
% converse(complement(A))
% Rule
% [223]
% complement(converse(complement(A)) join complement(converse(A))) ->
% complement(converse(complement(A))) collapsed.
% Current number of equations to process: 2970
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [370]
% complement(sk3) join complement(composition(sk1,converse(sk2))) ->
% complement(composition(sk1,converse(sk2)))
% Rule
% [225]
% complement(complement(sk3) join complement(composition(sk1,converse(sk2))))
% -> composition(sk1,converse(sk2)) collapsed.
% Current number of equations to process: 2970
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [371] complement(converse(complement(converse(A)))) join A -> A
% Rule
% [227]
% complement(complement(converse(complement(converse(A)))) join A) ->
% complement(A) collapsed.
% Current number of equations to process: 3058
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [372]
% converse(complement(converse(A))) join complement(A) ->
% converse(complement(converse(A)))
% Rule
% [228]
% complement(converse(complement(converse(A))) join complement(A)) ->
% complement(converse(complement(converse(A)))) collapsed.
% Current number of equations to process: 3062
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [373] complement(converse(complement(converse(A))) join B) join A -> A
% Rule
% [234]
% complement(complement(converse(complement(converse(A))) join B) join A) ->
% complement(A) collapsed.
% Current number of equations to process: 3111
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [374]
% converse(A) join complement(converse(complement(A)) join B) -> converse(A)
% Rule
% [254]
% complement(converse(A) join complement(converse(complement(A)) join B)) ->
% complement(converse(A)) collapsed.
% Current number of equations to process: 3359
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [375]
% complement(composition(complement(one),A)) join A ->
% complement(composition(top,A)) join A
% Current number of equations to process: 3358
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced :
% [376] complement(composition(zero,B) join A) join B -> complement(A) join B
% Current number of equations to process: 3356
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced :
% [377]
% converse(complement(A)) join complement(converse(A) join B) ->
% converse(complement(A))
% Current number of equations to process: 3369
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [378]
% sk3 join complement(complement(composition(sk1,converse(sk2))) join A) -> sk3
% Current number of equations to process: 3368
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced :
% [379]
% sk3 join complement(converse(complement(converse(composition(sk1,converse(sk2))))))
% -> sk3
% Current number of equations to process: 3367
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced :
% [380]
% converse(complement(converse(complement(complement(A) join B)))) join A ->
% top
% Current number of equations to process: 3384
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced :
% [381]
% converse(complement(converse(A))) join complement(A join B) ->
% converse(complement(converse(A)))
% Current number of equations to process: 3383
% Current number of ordered equations: 0
% Current number of rules: 263
% New rule produced :
% [382]
% sk3 join complement(composition(sk1,converse(sk2)) join A) ->
% sk3 join complement(A)
% Current number of equations to process: 3382
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced :
% [383]
% 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
% [157]
% complement(converse(complement(A join A)) join converse(A)) ->
% complement(top) collapsed.
% Rule [304] one join converse(complement(one join A)) join converse(A) -> top
% collapsed.
% Current number of equations to process: 3381
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced :
% [384]
% converse(complement(A)) join complement(converse(complement(A join B))) ->
% top
% Current number of equations to process: 3433
% Current number of ordered equations: 0
% Current number of rules: 263
% New rule produced :
% [385]
% converse(complement(converse(complement(composition(top,A))))) join complement(A)
% -> top
% Current number of equations to process: 3532
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced :
% [386]
% converse(complement(converse(complement(A)))) join complement(composition(zero,A))
% -> top
% Current number of equations to process: 3561
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced :
% [387] complement(composition(top,A)) join complement(A) -> complement(A)
% Current number of equations to process: 3771
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced :
% [388] composition(A,top) join complement(composition(A,B)) -> top
% Current number of equations to process: 3830
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced : [389] composition(A,top) join A -> composition(A,top)
% Current number of equations to process: 3833
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced :
% [390]
% composition(top,composition(complement(one),top)) ->
% composition(complement(one),top)
% Current number of equations to process: 3935
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [391]
% complement(composition(top,A) join B) join complement(A) -> complement(A)
% Current number of equations to process: 3965
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [392]
% sk3 join composition(sk1,complement(converse(sk2))) ->
% sk3 join composition(sk1,top)
% Current number of equations to process: 4018
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced :
% [393]
% composition(A,converse(A)) join complement(one) ->
% composition(A,top) join complement(one)
% Current number of equations to process: 4151
% Current number of ordered equations: 0
% Current number of rules: 272
% New rule produced :
% [394] composition(zero,complement(A)) join A -> composition(zero,top) join A
% Current number of equations to process: 4209
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [395]
% composition(zero,A) join complement(A) <->
% composition(zero,top) join complement(A)
% Current number of equations to process: 4208
% Current number of ordered equations: 1
% Current number of rules: 274
% New rule produced :
% [396]
% composition(zero,top) join complement(A) <->
% composition(zero,A) join complement(A)
% Current number of equations to process: 4208
% Current number of ordered equations: 0
% Current number of rules: 275
% New rule produced :
% [397]
% converse(complement(A join B)) join converse(complement(A)) ->
% converse(complement(A))
% Current number of equations to process: 4258
% Current number of ordered equations: 0
% Current number of rules: 276
% New rule produced :
% [398]
% composition(composition(A,B),C) join composition(A,top) -> composition(A,top)
% Current number of equations to process: 4256
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced :
% [399]
% composition(zero,composition(A,B)) join composition(A,top) ->
% composition(A,top)
% Current number of equations to process: 4255
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced :
% [400]
% composition(converse(A),A) join complement(one) ->
% converse(composition(top,A)) join complement(one)
% Current number of equations to process: 4254
% Current number of ordered equations: 0
% Current number of rules: 279
% New rule produced :
% [401]
% converse(composition(A,top)) join composition(top,complement(converse(A))) ->
% top
% Current number of equations to process: 4252
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced :
% [402]
% converse(complement(converse(complement(A)))) join A ->
% converse(complement(converse(complement(A))))
% Rule
% [233]
% complement(converse(complement(converse(complement(A)))) join A) ->
% complement(converse(complement(converse(complement(A))))) collapsed.
% Current number of equations to process: 4252
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced :
% [403]
% converse(sk3) join complement(converse(complement(composition(sk1,converse(sk2)))))
% -> converse(sk3)
% Current number of equations to process: 4273
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced :
% [404]
% composition(top,A) join complement(A join B) ->
% composition(top,A) join complement(B)
% Current number of equations to process: 4272
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced :
% [405]
% composition(top,complement(A)) join complement(A join B) ->
% composition(top,complement(A))
% Current number of equations to process: 4270
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced :
% [406]
% complement(composition(A,top)) join complement(composition(A,B)) ->
% complement(composition(A,B))
% Current number of equations to process: 4269
% Current number of ordered equations: 0
% Current number of rules: 284
% New rule produced :
% [407]
% composition(top,A) join composition(complement(one),top) ->
% composition(complement(one),top) join A
% Current number of equations to process: 4267
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced :
% [408] converse(composition(complement(converse(A)),top)) join A -> top
% Current number of equations to process: 4615
% Current number of ordered equations: 0
% Current number of rules: 286
% New rule produced :
% [409]
% complement(converse(composition(A,top))) join complement(converse(A)) ->
% complement(converse(A))
% Current number of equations to process: 4690
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [410] one join converse(complement(one join converse(A))) join A -> top
% Current number of equations to process: 2326
% Current number of ordered equations: 0
% Current number of rules: 288
% New rule produced :
% [411]
% converse(complement(composition(A,converse(zero)))) join converse(A) -> top
% Current number of equations to process: 2893
% Current number of ordered equations: 0
% Current number of rules: 289
% New rule produced :
% [412]
% complement(composition(top,complement(composition(top,complement(A))))) join A
% -> top
% Current number of equations to process: 3565
% Current number of ordered equations: 0
% Current number of rules: 290
% New rule produced :
% [413]
% converse(composition(complement(A),top)) join converse(composition(A,top)) ->
% top
% Current number of equations to process: 3772
% Current number of ordered equations: 0
% Current number of rules: 291
% New rule produced :
% [414]
% converse(composition(complement(converse(A)),top)) join composition(top,A) ->
% top
% Current number of equations to process: 4037
% Current number of ordered equations: 0
% Current number of rules: 292
% New rule produced :
% [415]
% converse(composition(composition(A,top),top)) -> converse(composition(A,top))
% Current number of equations to process: 1574
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced :
% [416] composition(composition(A,top),top) -> composition(A,top)
% Rule
% [415]
% converse(composition(composition(A,top),top)) -> converse(composition(A,top))
% collapsed.
% Current number of equations to process: 1733
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced :
% [417] composition(B,complement(composition(top,complement(A)))) join A -> A
% Rule
% [274] composition(top,complement(composition(top,complement(A)))) join A -> A
% collapsed.
% Current number of equations to process: 2243
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced :
% [418]
% converse(composition(top,A)) join composition(complement(converse(A)),top) ->
% top
% Current number of equations to process: 2260
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced :
% [419]
% complement(composition(A,complement(composition(top,complement(B))))) join B
% -> top
% Rule
% [412]
% complement(composition(top,complement(composition(top,complement(A))))) join A
% -> top collapsed.
% Current number of equations to process: 2259
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced :
% [420]
% composition(B,complement(composition(top,A))) join complement(A) ->
% complement(A)
% Rule
% [275]
% composition(top,complement(composition(top,A))) join complement(A) ->
% complement(A) collapsed.
% Current number of equations to process: 2264
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced :
% [421]
% complement(composition(A,complement(composition(top,B)))) join complement(B)
% -> top
% Rule
% [284]
% complement(composition(top,complement(composition(top,A)))) join complement(A)
% -> top collapsed.
% Current number of equations to process: 2297
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced :
% [422]
% composition(composition(A,top),composition(top,B)) ->
% composition(A,composition(top,B))
% Current number of equations to process: 3595
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced :
% [423] converse(composition(top,A)) join complement(converse(A)) -> top
% Current number of equations to process: 3602
% Current number of ordered equations: 0
% Current number of rules: 296
% New rule produced :
% [424] converse(composition(top,complement(A))) join converse(A) -> top
% Current number of equations to process: 3698
% Current number of ordered equations: 0
% Current number of rules: 297
% New rule produced :
% [425] composition(top,complement(composition(zero,A))) join A -> top
% Current number of equations to process: 3781
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [426] complement(composition(top,complement(A))) join A -> A
% Current number of equations to process: 3808
% Current number of ordered equations: 0
% Current number of rules: 299
% New rule produced :
% [427] complement(composition(top,complement(A)) join B) join A -> A
% Current number of equations to process: 3859
% Current number of ordered equations: 0
% Current number of rules: 300
% New rule produced : [428] composition(A,top) join complement(A) -> top
% Current number of equations to process: 3861
% Current number of ordered equations: 0
% Current number of rules: 301
% New rule produced : [429] composition(complement(A),top) join A -> top
% Current number of equations to process: 3918
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced :
% [430]
% converse(A) join complement(converse(composition(complement(A),top))) ->
% converse(A)
% Current number of equations to process: 4020
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced :
% [431]
% composition(composition(top,complement(one)),A) join A -> composition(top,A)
% Current number of equations to process: 4188
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced :
% [432] converse(composition(top,complement(converse(A)))) join A -> top
% Current number of equations to process: 4328
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced :
% [433]
% converse(composition(complement(one),converse(A))) join A ->
% composition(A,top)
% Current number of equations to process: 4333
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced :
% [434]
% composition(composition(top,A),B) join complement(composition(A,B)) -> top
% Current number of equations to process: 4345
% Current number of ordered equations: 0
% Current number of rules: 307
% New rule produced :
% [435]
% composition(top,A) join complement(complement(A) join B) ->
% composition(top,A)
% Current number of equations to process: 4344
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [436]
% composition(top,A) join complement(converse(complement(converse(A)))) ->
% composition(top,A)
% Current number of equations to process: 4343
% Current number of ordered equations: 0
% Current number of rules: 309
% New rule produced :
% [437]
% composition(top,complement(composition(A,B))) join composition(A,top) -> top
% Current number of equations to process: 4339
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced :
% [438]
% converse(complement(A)) join complement(converse(composition(A,top))) ->
% converse(complement(A))
% Current number of equations to process: 4338
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced :
% [439]
% sk3 join complement(composition(top,complement(composition(sk1,converse(sk2)))))
% -> sk3
% Current number of equations to process: 4337
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [440]
% complement(converse(composition(top,A))) join complement(converse(A)) ->
% complement(converse(A))
% Current number of equations to process: 4453
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [441]
% converse(composition(top,complement(converse(A)))) join composition(top,A) ->
% top
% Current number of equations to process: 4508
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [442]
% converse(composition(top,A)) join composition(top,complement(converse(A))) ->
% top
% Current number of equations to process: 4507
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced :
% [443]
% converse(composition(top,composition(A,top))) join converse(complement(A)) ->
% top
% Current number of equations to process: 4505
% Current number of ordered equations: 1
% Current number of rules: 316
% New rule produced :
% [444]
% converse(composition(top,complement(A))) join converse(composition(A,top)) ->
% top
% Current number of equations to process: 4505
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced :
% [445]
% converse(composition(top,A)) join converse(composition(complement(A),top)) ->
% top
% Current number of equations to process: 4503
% Current number of ordered equations: 1
% Current number of rules: 318
% New rule produced :
% [446]
% converse(composition(top,composition(complement(A),top))) join converse(A) ->
% top
% Current number of equations to process: 4503
% Current number of ordered equations: 0
% Current number of rules: 319
% New rule produced :
% [447]
% converse(composition(top,A)) join complement(composition(converse(A),B)) ->
% top
% Current number of equations to process: 4656
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [448]
% converse(complement(converse(A))) join complement(composition(top,A)) ->
% converse(complement(converse(A)))
% Current number of equations to process: 4744
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced :
% [449]
% converse(composition(A,top)) join complement(converse(complement(A))) ->
% converse(composition(A,top))
% Current number of equations to process: 4742
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced :
% [450]
% converse(composition(top,A)) join composition(zero,converse(A)) ->
% converse(composition(top,A))
% Current number of equations to process: 4741
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced :
% [451]
% composition(A,top) join complement(converse(composition(B,converse(A)))) ->
% top
% Current number of equations to process: 4763
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [452] converse(complement(converse(A))) join composition(A,top) -> top
% Current number of equations to process: 4879
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced : [453] converse(composition(converse(zero),A)) -> zero
% Current number of equations to process: 859
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced : [454] converse(complement(composition(A,zero))) -> top
% Current number of equations to process: 860
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced :
% [455] converse(complement(converse(composition(A,zero)))) -> top
% Current number of equations to process: 861
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [456] composition(composition(A,top),zero) -> composition(A,zero)
% Current number of equations to process: 862
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [457] composition(top,composition(zero,A)) -> composition(zero,A)
% Current number of equations to process: 861
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced : [458] composition(converse(zero),A) -> converse(zero)
% Rule [322] composition(converse(zero),A) join A -> A collapsed.
% Rule [453] converse(composition(converse(zero),A)) -> zero collapsed.
% Current number of equations to process: 863
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced : [459] composition(converse(A),zero) -> zero
% Current number of equations to process: 863
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced : [460] complement(composition(A,zero)) -> top
% Rule [454] converse(complement(composition(A,zero))) -> top collapsed.
% Current number of equations to process: 864
% Current number of ordered equations: 0
% Current number of rules: 330
% Rule [351]
% composition(composition(A,B),complement(converse(composition(top,B))))
% -> composition(A,zero) is composed into [351]
% composition(composition(A,B),
% complement(converse(composition(top,B))))
% -> zero
% New rule produced : [461] composition(A,zero) -> zero
% Rule [316] composition(top,zero) -> zero collapsed.
% Rule [340] composition(complement(one),zero) -> zero collapsed.
% Rule [341] composition(zero,zero) -> zero collapsed.
% Rule [343] composition(A,zero) join composition(A,B) -> composition(A,B)
% collapsed.
% Rule [455] converse(complement(converse(composition(A,zero)))) -> top
% collapsed.
% Rule [456] composition(composition(A,top),zero) -> composition(A,zero)
% collapsed.
% Rule [459] composition(converse(A),zero) -> zero collapsed.
% Rule [460] complement(composition(A,zero)) -> top collapsed.
% Current number of equations to process: 864
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced :
% [462]
% composition(composition(A,top),composition(zero,B)) ->
% composition(A,composition(zero,B))
% Current number of equations to process: 858
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [463] composition(A,composition(zero,B)) -> composition(zero,B)
% Rule [330] composition(zero,composition(zero,A)) join A -> A collapsed.
% Rule
% [350]
% composition(A,composition(zero,B)) join composition(A,B) -> composition(A,B)
% collapsed.
% Rule [457] composition(top,composition(zero,A)) -> composition(zero,A)
% collapsed.
% Rule
% [462]
% composition(composition(A,top),composition(zero,B)) ->
% composition(A,composition(zero,B)) collapsed.
% Current number of equations to process: 857
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced :
% [464]
% converse(composition(composition(top,A),top)) join converse(complement(A)) ->
% top
% Current number of equations to process: 856
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced :
% [465]
% converse(complement(A)) join complement(converse(composition(top,A))) ->
% converse(complement(A))
% Current number of equations to process: 855
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced :
% [466]
% converse(composition(top,complement(A))) join converse(composition(top,A)) ->
% top
% Current number of equations to process: 854
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [467]
% converse(composition(top,composition(A,top))) join complement(converse(A)) ->
% top
% Current number of equations to process: 853
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced : [468] converse(zero) -> zero
% Rule [323] complement(converse(zero)) -> top collapsed.
% Rule [325] composition(A,converse(zero)) join A -> A collapsed.
% Rule [329] one join composition(zero,converse(zero)) -> one collapsed.
% Rule
% [336] converse(composition(A,converse(zero))) join converse(A) -> converse(A)
% collapsed.
% Rule [346] converse(zero) join A -> A collapsed.
% Rule
% [347]
% one join composition(complement(one),converse(zero)) ->
% one join converse(composition(zero,top)) collapsed.
% Rule
% [411]
% converse(complement(composition(A,converse(zero)))) join converse(A) -> top
% collapsed.
% Rule [458] composition(converse(zero),A) -> converse(zero) collapsed.
% Current number of equations to process: 958
% Current number of ordered equations: 0
% Current number of rules: 318
% Rule [352]
% composition(B,composition(complement(converse(composition(top,B))),A))
% -> composition(zero,A) is composed into [352]
% composition(B,composition(
% complement(
% converse(composition(top,B))),A))
% -> zero
% New rule produced : [469] composition(zero,A) -> zero
% Rule [196] composition(zero,A) join A -> A collapsed.
% Rule [326] converse(complement(converse(composition(zero,A)))) join A -> top
% collapsed.
% Rule [327] complement(composition(zero,A)) join A -> top collapsed.
% Rule [328] converse(composition(zero,A)) join converse(A) -> converse(A)
% collapsed.
% Rule
% [337]
% complement(composition(zero,A)) join complement(A) ->
% complement(composition(zero,A)) collapsed.
% Rule
% [338]
% complement(composition(zero,complement(A))) join A ->
% complement(composition(zero,complement(A))) collapsed.
% Rule [342] composition(zero,B) join composition(A,B) -> composition(A,B)
% collapsed.
% Rule
% [348]
% composition(zero,complement(A join B)) join complement(B) -> complement(B)
% collapsed.
% Rule
% [349]
% composition(composition(zero,A),B) join composition(A,B) -> composition(A,B)
% collapsed.
% Rule
% [354]
% complement(A join B) join complement(composition(zero,A)) ->
% complement(composition(zero,A)) collapsed.
% Rule
% [376] complement(composition(zero,B) join A) join B -> complement(A) join B
% collapsed.
% Rule
% [386]
% converse(complement(converse(complement(A)))) join complement(composition(zero,A))
% -> top collapsed.
% Rule
% [394] composition(zero,complement(A)) join A -> composition(zero,top) join A
% collapsed.
% Rule
% [395]
% composition(zero,A) join complement(A) <->
% composition(zero,top) join complement(A) collapsed.
% Rule
% [396]
% composition(zero,top) join complement(A) <->
% composition(zero,A) join complement(A) collapsed.
% Rule
% [399]
% composition(zero,composition(A,B)) join composition(A,top) ->
% composition(A,top) collapsed.
% Rule [425] composition(top,complement(composition(zero,A))) join A -> top
% collapsed.
% Rule
% [450]
% converse(composition(top,A)) join composition(zero,converse(A)) ->
% converse(composition(top,A)) collapsed.
% Rule [463] composition(A,composition(zero,B)) -> composition(zero,B)
% collapsed.
% Current number of equations to process: 957
% Current number of ordered equations: 0
% Current number of rules: 300
% New rule produced :
% [470] one join complement(converse(composition(complement(one),top))) -> one
% Current number of equations to process: 988
% Current number of ordered equations: 0
% Current number of rules: 301
% New rule produced :
% [471]
% composition(converse(A),composition(A,top)) -> converse(composition(top,A))
% Current number of equations to process: 1027
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced :
% [472]
% composition(converse(complement(composition(A,top))),composition(A,B)) ->
% zero
% Current number of equations to process: 1030
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced :
% [473]
% composition(composition(A,converse(B)),complement(composition(B,top))) ->
% zero
% Current number of equations to process: 1029
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced :
% [474]
% composition(converse(A),composition(complement(composition(A,top)),B)) ->
% zero
% Current number of equations to process: 1028
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced :
% [475]
% composition(converse(composition(A,B)),complement(composition(A,top))) ->
% zero
% Current number of equations to process: 1027
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced :
% [476] composition(complement(composition(complement(A),top)),top) join A -> A
% Current number of equations to process: 1021
% Current number of ordered equations: 0
% Current number of rules: 307
% New rule produced :
% [477]
% composition(converse(composition(complement(one),top)),A) join A ->
% composition(top,A)
% Current number of equations to process: 1172
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [478]
% composition(A,converse(composition(complement(one),top))) join A ->
% composition(A,top)
% Current number of equations to process: 1171
% Current number of ordered equations: 0
% Current number of rules: 309
% New rule produced :
% [479]
% one join complement(converse(composition(complement(one),top)) join A) -> one
% Current number of equations to process: 1169
% Current number of ordered equations: 1
% Current number of rules: 310
% New rule produced :
% [480]
% converse(composition(complement(one),top)) join complement(one) ->
% converse(composition(complement(one),top))
% Current number of equations to process: 1169
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced :
% [481]
% composition(composition(A,B),converse(composition(top,B))) ->
% composition(composition(A,B),top)
% Current number of equations to process: 1222
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [482]
% composition(composition(A,top),complement(composition(composition(top,A),top)))
% -> zero
% Current number of equations to process: 1275
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [483]
% converse(composition(top,A)) join complement(converse(complement(A))) ->
% converse(composition(top,A))
% Current number of equations to process: 1324
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [484]
% composition(converse(composition(top,A)),composition(top,B)) ->
% composition(converse(composition(top,A)),B)
% Current number of equations to process: 1535
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced :
% [485]
% converse(composition(complement(one),top)) ->
% composition(top,complement(one))
% Rule [332] one join converse(composition(complement(one),top)) -> top
% collapsed.
% Rule
% [470] one join complement(converse(composition(complement(one),top))) -> one
% collapsed.
% Rule
% [477]
% composition(converse(composition(complement(one),top)),A) join A ->
% composition(top,A) collapsed.
% Rule
% [478]
% composition(A,converse(composition(complement(one),top))) join A ->
% composition(A,top) collapsed.
% Rule
% [479]
% one join complement(converse(composition(complement(one),top)) join A) -> one
% collapsed.
% Rule
% [480]
% converse(composition(complement(one),top)) join complement(one) ->
% converse(composition(complement(one),top)) collapsed.
% Current number of equations to process: 1636
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced :
% [486]
% converse(composition(top,complement(one))) ->
% composition(complement(one),top)
% Rule
% [355]
% composition(top,complement(converse(composition(top,complement(one))))) ->
% complement(converse(composition(top,complement(one)))) collapsed.
% Current number of equations to process: 1636
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced :
% [487]
% composition(converse(A),complement(one)) ->
% converse(composition(complement(one),A))
% Current number of equations to process: 1648
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced :
% [488]
% composition(complement(one),converse(A)) ->
% converse(composition(A,complement(one)))
% Rule
% [433]
% converse(composition(complement(one),converse(A))) join A ->
% composition(A,top) collapsed.
% Current number of equations to process: 1647
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced :
% [489]
% composition(complement(one),complement(composition(complement(one),top))) ->
% zero
% Current number of equations to process: 1695
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [490]
% composition(composition(top,complement(one)),top) ->
% composition(top,complement(one))
% Current number of equations to process: 1807
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [491] composition(top,complement(one)) <-> composition(complement(one),top)
% Current number of equations to process: 1865
% Current number of ordered equations: 1
% Current number of rules: 314
% New rule produced :
% [492] composition(complement(one),top) <-> composition(top,complement(one))
% Current number of equations to process: 1865
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced :
% [493] complement(composition(A,top)) join complement(A) -> complement(A)
% Current number of equations to process: 1935
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced :
% [494] composition(top,A) join composition(complement(A),top) -> top
% Current number of equations to process: 2033
% Current number of ordered equations: 1
% Current number of rules: 317
% New rule produced :
% [495] composition(composition(top,A),top) join complement(A) -> top
% Current number of equations to process: 2033
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced :
% [496] composition(top,complement(A)) join composition(A,top) -> top
% Current number of equations to process: 2031
% Current number of ordered equations: 1
% Current number of rules: 319
% New rule produced :
% [497] composition(composition(top,complement(A)),top) join A -> top
% Current number of equations to process: 2031
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [498]
% composition(top,complement(composition(complement(one),top))) ->
% complement(composition(complement(one),top))
% Current number of equations to process: 2042
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced :
% [499]
% composition(A,composition(top,complement(one))) join A -> composition(A,top)
% Current number of equations to process: 2041
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced :
% [500]
% composition(composition(A,complement(one)),top) join A -> composition(A,top)
% Current number of equations to process: 2039
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced :
% [501]
% composition(sk3,top) join composition(sk1,converse(sk2)) ->
% composition(sk3,top)
% Current number of equations to process: 2038
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [502]
% sk3 join composition(complement(composition(sk1,converse(sk2))),top) -> top
% Current number of equations to process: 2036
% Current number of ordered equations: 1
% Current number of rules: 325
% New rule produced :
% [503]
% composition(sk3,top) join complement(composition(sk1,converse(sk2))) -> top
% Current number of equations to process: 2036
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [504]
% composition(composition(top,A),top) join A ->
% composition(composition(top,A),top)
% Current number of equations to process: 2035
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced :
% [505]
% complement(composition(A,complement(one))) join A ->
% complement(composition(A,top)) join A
% Current number of equations to process: 2036
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [506]
% complement(composition(A,top) join B) join complement(A) -> complement(A)
% Current number of equations to process: 2035
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [507]
% composition(A,converse(composition(complement(one),B))) <->
% composition(composition(A,converse(B)),complement(one))
% Current number of equations to process: 2041
% Current number of ordered equations: 3
% Current number of rules: 330
% New rule produced :
% [508]
% composition(A,converse(composition(B,complement(one)))) <->
% composition(composition(A,complement(one)),converse(B))
% Current number of equations to process: 2041
% Current number of ordered equations: 2
% Current number of rules: 331
% New rule produced :
% [509]
% composition(composition(A,converse(B)),complement(one)) <->
% composition(A,converse(composition(complement(one),B)))
% Current number of equations to process: 2041
% Current number of ordered equations: 1
% Current number of rules: 332
% New rule produced :
% [510]
% composition(composition(A,complement(one)),converse(B)) <->
% composition(A,converse(composition(B,complement(one))))
% Current number of equations to process: 2041
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [511]
% composition(converse(A),composition(complement(one),B)) <->
% composition(converse(composition(complement(one),A)),B)
% Current number of equations to process: 2039
% Current number of ordered equations: 3
% Current number of rules: 334
% New rule produced :
% [512]
% composition(complement(one),composition(converse(A),B)) <->
% composition(converse(composition(A,complement(one))),B)
% Current number of equations to process: 2039
% Current number of ordered equations: 2
% Current number of rules: 335
% New rule produced :
% [513]
% composition(converse(composition(A,complement(one))),B) <->
% composition(complement(one),composition(converse(A),B))
% Current number of equations to process: 2039
% Current number of ordered equations: 1
% Current number of rules: 336
% New rule produced :
% [514]
% composition(converse(composition(complement(one),A)),B) <->
% composition(converse(A),composition(complement(one),B))
% Current number of equations to process: 2039
% Current number of ordered equations: 0
% Current number of rules: 337
% New rule produced :
% [515]
% one join composition(A,complement(converse(composition(complement(one),A))))
% -> one
% Current number of equations to process: 2034
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced :
% [516]
% converse(composition(composition(A,top),complement(one))) <->
% composition(composition(complement(one),top),converse(A))
% Current number of equations to process: 2033
% Current number of ordered equations: 1
% Current number of rules: 339
% New rule produced :
% [517]
% composition(composition(complement(one),top),converse(A)) <->
% converse(composition(composition(A,top),complement(one)))
% Current number of equations to process: 2033
% Current number of ordered equations: 0
% Current number of rules: 340
% New rule produced :
% [518]
% converse(composition(complement(one),composition(top,A))) <->
% composition(converse(A),composition(top,complement(one)))
% Current number of equations to process: 2032
% Current number of ordered equations: 1
% Current number of rules: 341
% New rule produced :
% [519]
% composition(converse(A),composition(top,complement(one))) <->
% converse(composition(complement(one),composition(top,A)))
% Current number of equations to process: 2032
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced :
% [520]
% composition(top,A) join composition(complement(composition(B,A)),top) -> top
% Current number of equations to process: 2030
% Current number of ordered equations: 1
% Current number of rules: 343
% New rule produced :
% [521]
% composition(composition(top,A),top) join complement(composition(B,A)) -> top
% Current number of equations to process: 2030
% Current number of ordered equations: 0
% Current number of rules: 344
% New rule produced :
% [522]
% converse(complement(converse(complement(composition(A,top))))) join complement(A)
% -> top
% Current number of equations to process: 2029
% Current number of ordered equations: 0
% Current number of rules: 345
% New rule produced :
% [523]
% converse(complement(converse(A))) join composition(composition(top,A),top) ->
% top
% Current number of equations to process: 2026
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced :
% [524]
% converse(composition(A,top)) join composition(complement(converse(A)),top) ->
% top
% Current number of equations to process: 2023
% Current number of ordered equations: 0
% Current number of rules: 347
% New rule produced :
% [525]
% converse(composition(composition(complement(one),top),converse(A))) <->
% composition(composition(A,top),complement(one))
% Current number of equations to process: 2222
% Current number of ordered equations: 1
% Current number of rules: 348
% New rule produced :
% [526]
% composition(composition(A,top),complement(one)) <->
% converse(composition(composition(complement(one),top),converse(A)))
% Current number of equations to process: 2222
% Current number of ordered equations: 0
% Current number of rules: 349
% New rule produced :
% [527]
% converse(composition(converse(A),composition(top,complement(one)))) <->
% composition(complement(one),composition(top,A))
% Current number of equations to process: 2221
% Current number of ordered equations: 1
% Current number of rules: 350
% New rule produced :
% [528]
% composition(complement(one),composition(top,A)) <->
% converse(composition(converse(A),composition(top,complement(one))))
% Current number of equations to process: 2221
% Current number of ordered equations: 0
% Current number of rules: 351
% New rule produced :
% [529]
% composition(top,complement(one)) join composition(A,top) ->
% composition(top,complement(one)) join A
% Current number of equations to process: 2219
% Current number of ordered equations: 0
% Current number of rules: 352
% New rule produced :
% [530]
% composition(A,top) join complement(A join B) ->
% composition(A,top) join complement(B)
% Current number of equations to process: 2218
% Current number of ordered equations: 0
% Current number of rules: 353
% New rule produced :
% [531]
% composition(complement(A),top) join complement(A join B) ->
% composition(complement(A),top)
% Current number of equations to process: 2216
% Current number of ordered equations: 0
% Current number of rules: 354
% New rule produced :
% [532]
% converse(composition(complement(one),complement(one))) join complement(one)
% -> composition(top,complement(one))
% Current number of equations to process: 2215
% Current number of ordered equations: 0
% Current number of rules: 355
% New rule produced :
% [533] complement(composition(complement(A),top)) join A -> A
% Current number of equations to process: 2923
% Current number of ordered equations: 0
% Current number of rules: 356
% New rule produced :
% [534] complement(composition(complement(A),top) join B) join A -> A
% Current number of equations to process: 2944
% Current number of ordered equations: 0
% Current number of rules: 357
% New rule produced : [535] converse(complement(converse(complement(A)))) -> A
% Rule
% [229]
% converse(complement(converse(complement(A join B)))) join complement(B) ->
% top collapsed.
% Rule
% [380]
% converse(complement(converse(complement(complement(A) join B)))) join A ->
% top collapsed.
% Rule
% [385]
% converse(complement(converse(complement(composition(top,A))))) join complement(A)
% -> top collapsed.
% Rule
% [402]
% converse(complement(converse(complement(A)))) join A ->
% converse(complement(converse(complement(A)))) collapsed.
% Rule
% [522]
% converse(complement(converse(complement(composition(A,top))))) join complement(A)
% -> top collapsed.
% Current number of equations to process: 2966
% Current number of ordered equations: 0
% Current number of rules: 353
% New rule produced : [536] converse(complement(converse(A))) -> complement(A)
% Rule [63] converse(complement(converse(A))) join A -> top collapsed.
% Rule
% [170]
% sk3 join converse(complement(converse(composition(sk1,converse(sk2))))) ->
% top collapsed.
% Rule
% [171]
% converse(complement(converse(composition(A,B)))) join composition(top,B) ->
% top collapsed.
% Rule
% [246]
% composition(converse(complement(converse(B))),A) join composition(B,A) ->
% composition(top,A) collapsed.
% Rule
% [249]
% converse(complement(converse(composition(converse(A),complement(A))))) join 
% complement(one) -> top collapsed.
% Rule
% [251]
% converse(complement(converse(composition(A,complement(converse(A)))))) join 
% complement(one) -> top collapsed.
% Rule
% [258]
% composition(A,converse(complement(converse(B)))) join composition(A,B) ->
% composition(A,top) collapsed.
% Rule [293] converse(complement(converse(A))) join composition(top,A) -> top
% collapsed.
% Rule
% [312]
% converse(complement(converse(composition(A,B)))) join composition(A,top) ->
% top collapsed.
% Rule [371] complement(converse(complement(converse(A)))) join A -> A
% collapsed.
% Rule
% [372]
% converse(complement(converse(A))) join complement(A) ->
% converse(complement(converse(A))) collapsed.
% Rule [373] complement(converse(complement(converse(A))) join B) join A -> A
% collapsed.
% Rule
% [379]
% sk3 join complement(converse(complement(converse(composition(sk1,converse(sk2))))))
% -> sk3 collapsed.
% Rule
% [381]
% converse(complement(converse(A))) join complement(A join B) ->
% converse(complement(converse(A))) collapsed.
% Rule
% [436]
% composition(top,A) join complement(converse(complement(converse(A)))) ->
% composition(top,A) collapsed.
% Rule
% [448]
% converse(complement(converse(A))) join complement(composition(top,A)) ->
% converse(complement(converse(A))) collapsed.
% Rule [452] converse(complement(converse(A))) join composition(A,top) -> top
% collapsed.
% Rule
% [523]
% converse(complement(converse(A))) join composition(composition(top,A),top) ->
% top collapsed.
% Rule [535] converse(complement(converse(complement(A)))) -> A collapsed.
% Current number of equations to process: 3087
% Current number of ordered equations: 0
% Current number of rules: 335
% New rule produced :
% [537]
% converse(complement(complement(A) join B)) join converse(A) -> converse(A)
% Current number of equations to process: 3186
% Current number of ordered equations: 0
% Current number of rules: 336
% New rule produced :
% [538]
% composition(A,top) join complement(complement(A) join B) ->
% composition(A,top)
% Current number of equations to process: 3183
% Current number of ordered equations: 0
% Current number of rules: 337
% New rule produced :
% [539] converse(complement(converse(complement(A)) join B)) join A -> A
% Current number of equations to process: 3268
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced :
% [540]
% converse(A) join complement(converse(composition(top,complement(A)))) ->
% converse(A)
% Current number of equations to process: 3373
% Current number of ordered equations: 0
% Current number of rules: 339
% New rule produced :
% [541]
% converse(complement(converse(A) join B)) join complement(A) -> complement(A)
% Current number of equations to process: 3579
% Current number of ordered equations: 0
% Current number of rules: 340
% New rule produced :
% [542]
% sk3 join complement(composition(complement(composition(sk1,converse(sk2))),top))
% -> sk3
% Current number of equations to process: 3756
% Current number of ordered equations: 0
% Current number of rules: 341
% New rule produced :
% [543]
% sk3 join complement(composition(sk1,complement(converse(sk2)))) ->
% sk3 join complement(composition(sk1,top))
% Current number of equations to process: 3845
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced :
% [544]
% converse(complement(converse(A) join B)) join A ->
% converse(complement(B)) join A
% Rule
% [245] converse(complement(converse(A) join converse(B))) join A join B -> top
% collapsed.
% Rule [410] one join converse(complement(one join converse(A))) join A -> top
% collapsed.
% Current number of equations to process: 4189
% Current number of ordered equations: 0
% Current number of rules: 341
% New rule produced :
% [545]
% one join converse(complement(one join A)) -> one join converse(complement(A))
% Current number of equations to process: 4297
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced :
% [546]
% converse(complement(composition(top,complement(A)))) join converse(A) ->
% converse(A)
% Current number of equations to process: 4452
% Current number of ordered equations: 0
% Current number of rules: 343
% New rule produced :
% [547]
% converse(complement(composition(top,A))) join converse(complement(A)) ->
% converse(complement(A))
% Current number of equations to process: 4485
% Current number of ordered equations: 0
% Current number of rules: 344
% New rule produced :
% [548]
% one join complement(converse(complement(complement(one) join A))) -> top
% Current number of equations to process: 4639
% Current number of ordered equations: 0
% Current number of rules: 345
% New rule produced :
% [549]
% converse(A) join complement(converse(complement(complement(A) join B))) ->
% top
% Current number of equations to process: 4716
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced :
% [550]
% complement(sk3) join complement(converse(complement(converse(sk3) join A)))
% -> top
% Current number of equations to process: 4742
% Current number of ordered equations: 0
% Current number of rules: 347
% New rule produced :
% [551]
% converse(complement(A)) join complement(converse(complement(composition(top,A))))
% -> top
% Current number of equations to process: 4813
% Current number of ordered equations: 0
% Current number of rules: 348
% New rule produced :
% [552]
% complement(one) join complement(converse(complement(one join A))) -> top
% Current number of equations to process: 4943
% Current number of ordered equations: 0
% Current number of rules: 349
% New rule produced :
% [553]
% converse(complement(A)) join complement(converse(complement(composition(A,top))))
% -> top
% Current number of equations to process: 4956
% Current number of ordered equations: 0
% Current number of rules: 350
% New rule produced :
% [554]
% complement(converse(complement(converse(A) join B))) join complement(A) ->
% top
% Rule
% [550]
% complement(sk3) join complement(converse(complement(converse(sk3) join A)))
% -> top collapsed.
% Current number of equations to process: 987
% Current number of ordered equations: 0
% Current number of rules: 350
% New rule produced :
% [555]
% complement(converse(complement(converse(complement(A)) join B))) join A ->
% top
% Current number of equations to process: 986
% Current number of ordered equations: 0
% Current number of rules: 351
% New rule produced :
% [556]
% composition(top,composition(A,top)) join A ->
% composition(top,composition(A,top))
% Current number of equations to process: 1382
% Current number of ordered equations: 0
% Current number of rules: 352
% New rule produced :
% [557]
% composition(A,top) join complement(composition(composition(A,B),C)) -> top
% Current number of equations to process: 1441
% Current number of ordered equations: 0
% Current number of rules: 353
% New rule produced :
% [558]
% composition(top,composition(A,top)) join complement(composition(A,B)) -> top
% Current number of equations to process: 1440
% Current number of ordered equations: 0
% Current number of rules: 354
% New rule produced :
% [559]
% composition(complement(composition(A,B)),top) join composition(A,top) -> top
% Current number of equations to process: 1439
% Current number of ordered equations: 0
% Current number of rules: 355
% New rule produced :
% [560]
% composition(composition(complement(one),top),complement(composition(top,
% complement(one)))) ->
% zero
% Current number of equations to process: 1438
% Current number of ordered equations: 0
% Current number of rules: 356
% Rule [526]
% composition(composition(A,top),complement(one)) <->
% converse(composition(composition(complement(one),top),converse(A))) is composed into 
% [526]
% composition(composition(A,top),complement(one)) <->
% converse(converse(composition(A,composition(top,complement(one)))))
% Rule [516]
% converse(composition(composition(A,top),complement(one))) <->
% composition(composition(complement(one),top),converse(A)) is composed into 
% [516]
% converse(composition(composition(A,top),complement(one))) <->
% converse(composition(A,composition(top,complement(one))))
% New rule produced :
% [561]
% composition(composition(complement(one),top),converse(A)) ->
% converse(composition(A,composition(top,complement(one))))
% Rule
% [517]
% composition(composition(complement(one),top),converse(A)) <->
% converse(composition(composition(A,top),complement(one))) collapsed.
% Rule
% [525]
% converse(composition(composition(complement(one),top),converse(A))) <->
% composition(composition(A,top),complement(one)) collapsed.
% Current number of equations to process: 1437
% Current number of ordered equations: 0
% Current number of rules: 355
% New rule produced :
% [562]
% complement(composition(composition(top,A),top)) join complement(A) ->
% complement(A)
% Current number of equations to process: 1506
% Current number of ordered equations: 0
% Current number of rules: 356
% New rule produced :
% [563]
% converse(composition(A,top)) join complement(one) ->
% composition(A,top) join complement(one)
% Current number of equations to process: 1649
% Current number of ordered equations: 0
% Current number of rules: 357
% New rule produced :
% [564] one join converse(complement(complement(one) join A)) -> one
% Current number of equations to process: 1843
% Current number of ordered equations: 0
% Current number of rules: 358
% New rule produced :
% [565]
% converse(complement(one join A)) join complement(one) -> complement(one)
% Current number of equations to process: 2169
% Current number of ordered equations: 0
% Current number of rules: 359
% New rule produced :
% [566]
% converse(complement(composition(A,top))) join converse(complement(A)) ->
% converse(complement(A))
% Current number of equations to process: 2184
% Current number of ordered equations: 0
% Current number of rules: 360
% Rule [400]
% composition(converse(A),A) join complement(one) ->
% converse(composition(top,A)) join complement(one) is composed into 
% [400]
% composition(converse(A),A) join complement(one) ->
% composition(top,A) join complement(one)
% New rule produced :
% [567]
% converse(composition(top,A)) join complement(one) ->
% composition(top,A) join complement(one)
% Current number of equations to process: 2554
% Current number of ordered equations: 0
% Current number of rules: 361
% New rule produced :
% [568]
% converse(composition(top,complement(converse(A)))) join composition(A,top) ->
% top
% Current number of equations to process: 2735
% Current number of ordered equations: 0
% Current number of rules: 362
% New rule produced :
% [569]
% composition(top,complement(A)) join complement(composition(top,A)) ->
% composition(top,complement(A))
% Current number of equations to process: 2774
% Current number of ordered equations: 0
% Current number of rules: 363
% New rule produced :
% [570]
% composition(complement(A),top) join complement(composition(top,A)) ->
% composition(complement(A),top)
% Current number of equations to process: 2773
% Current number of ordered equations: 0
% Current number of rules: 364
% New rule produced :
% [571]
% composition(composition(top,complement(one)),composition(top,A)) ->
% composition(composition(top,complement(one)),A)
% Current number of equations to process: 2772
% Current number of ordered equations: 0
% Current number of rules: 365
% New rule produced :
% [572]
% composition(composition(A,top),composition(complement(one),top)) ->
% composition(A,composition(complement(one),top))
% Current number of equations to process: 2771
% Current number of ordered equations: 0
% Current number of rules: 366
% New rule produced :
% [573]
% composition(top,A) join complement(composition(top,complement(A))) ->
% composition(top,A)
% Current number of equations to process: 3405
% Current number of ordered equations: 0
% Current number of rules: 367
% New rule produced :
% [574] composition(top,composition(A,top)) join complement(A) -> top
% Current number of equations to process: 3498
% Current number of ordered equations: 0
% Current number of rules: 368
% New rule produced :
% [575]
% composition(top,complement(A)) join complement(composition(A,top)) ->
% composition(top,complement(A))
% Current number of equations to process: 4119
% Current number of ordered equations: 0
% Current number of rules: 369
% New rule produced :
% [576]
% complement(converse(composition(complement(converse(A)),top))) join A -> A
% Current number of equations to process: 4444
% Current number of ordered equations: 0
% Current number of rules: 370
% New rule produced :
% [577]
% converse(composition(top,composition(complement(converse(A)),top))) join A ->
% top
% Current number of equations to process: 4633
% Current number of ordered equations: 0
% Current number of rules: 371
% New rule produced :
% [578]
% converse(composition(complement(converse(A)),top)) join composition(A,top) ->
% top
% Current number of equations to process: 4632
% Current number of ordered equations: 0
% Current number of rules: 372
% New rule produced :
% [579]
% composition(A,composition(top,complement(B))) join B ->
% composition(A,top) join B
% Current number of equations to process: 2277
% Current number of ordered equations: 0
% Current number of rules: 373
% New rule produced :
% [580]
% complement(composition(A,complement(composition(top,composition(A,top))))) ->
% top
% Current number of equations to process: 3081
% Current number of ordered equations: 0
% Current number of rules: 374
% New rule produced :
% [581] complement(composition(composition(top,complement(A)),top)) join A -> A
% Current number of equations to process: 4058
% Current number of ordered equations: 0
% Current number of rules: 375
% New rule produced :
% [582] composition(top,composition(complement(A),top)) join A -> top
% Current number of equations to process: 4429
% Current number of ordered equations: 0
% Current number of rules: 376
% New rule produced :
% [583]
% converse(complement(composition(complement(A),top))) join converse(A) ->
% converse(A)
% Current number of equations to process: 4602
% Current number of ordered equations: 0
% Current number of rules: 377
% New rule produced :
% [584]
% converse(composition(composition(top,A),top)) join complement(converse(A)) ->
% top
% Current number of equations to process: 4601
% Current number of ordered equations: 0
% Current number of rules: 378
% New rule produced :
% [585]
% converse(composition(composition(top,complement(A)),top)) join converse(A) ->
% top
% Current number of equations to process: 4600
% Current number of ordered equations: 0
% Current number of rules: 379
% New rule produced :
% [586]
% composition(A,top) join complement(composition(top,complement(A))) ->
% composition(A,top)
% Current number of equations to process: 4599
% Current number of ordered equations: 0
% Current number of rules: 380
% New rule produced :
% [587]
% composition(A,composition(B,top)) join complement(composition(A,B)) -> top
% Current number of equations to process: 4598
% Current number of ordered equations: 0
% Current number of rules: 381
% New rule produced :
% [588]
% composition(top,A) join complement(composition(complement(A),top)) ->
% composition(top,A)
% Current number of equations to process: 4596
% Current number of ordered equations: 0
% Current number of rules: 382
% New rule produced :
% [589]
% complement(converse(composition(top,complement(converse(A))))) join A -> A
% Current number of equations to process: 813
% Current number of ordered equations: 0
% Current number of rules: 383
% New rule produced :
% [590]
% converse(composition(composition(top,complement(converse(A))),top)) join A ->
% top
% Current number of equations to process: 1007
% Current number of ordered equations: 0
% Current number of rules: 384
% New rule produced :
% [591]
% composition(composition(top,A),top) join complement(composition(A,B)) -> top
% Current number of equations to process: 1170
% Current number of ordered equations: 0
% Current number of rules: 385
% New rule produced :
% [592]
% composition(composition(A,top),converse(composition(B,top))) ->
% composition(A,converse(composition(B,top)))
% Current number of equations to process: 2319
% Current number of ordered equations: 0
% Current number of rules: 386
% New rule produced :
% [593]
% composition(A,composition(top,B)) join complement(B) ->
% composition(A,top) join complement(B)
% Current number of equations to process: 2315
% Current number of ordered equations: 0
% Current number of rules: 387
% New rule produced :
% [594]
% complement(composition(top,composition(A,top))) join complement(A) ->
% complement(A)
% Current number of equations to process: 2786
% Current number of ordered equations: 0
% Current number of rules: 388
% New rule produced :
% [595]
% converse(composition(composition(top,A),converse(A))) -> composition(A,top)
% Current number of equations to process: 2800
% Current number of ordered equations: 0
% Current number of rules: 389
% New rule produced :
% [596]
% composition(complement(one),composition(complement(one),top)) ->
% composition(complement(one),top)
% Current number of equations to process: 2863
% Current number of ordered equations: 0
% Current number of rules: 390
% New rule produced :
% [597]
% composition(converse(composition(A,top)),composition(top,A)) ->
% composition(top,A)
% Current number of equations to process: 2863
% Current number of ordered equations: 0
% Current number of rules: 391
% New rule produced :
% [598]
% composition(converse(composition(top,A)),composition(A,top)) ->
% converse(composition(top,A))
% Current number of equations to process: 2862
% Current number of ordered equations: 0
% Current number of rules: 392
% New rule produced :
% [599]
% composition(complement(composition(top,A)),composition(converse(A),B)) ->
% zero
% Current number of equations to process: 2865
% Current number of ordered equations: 1
% Current number of rules: 393
% New rule produced :
% [600]
% composition(complement(composition(top,A)),converse(composition(top,A))) ->
% zero
% Current number of equations to process: 2865
% Current number of ordered equations: 0
% Current number of rules: 394
% New rule produced :
% [601]
% composition(complement(composition(A,top)),top) join complement(A) ->
% complement(A)
% Current number of equations to process: 3179
% Current number of ordered equations: 0
% Current number of rules: 395
% New rule produced :
% [602] composition(complement(composition(complement(A),top)),B) join A -> A
% Rule
% [476] composition(complement(composition(complement(A),top)),top) join A -> A
% collapsed.
% Current number of equations to process: 3339
% Current number of ordered equations: 0
% Current number of rules: 395
% New rule produced :
% [603]
% composition(converse(composition(A,top)),composition(A,B)) ->
% composition(composition(top,A),B)
% Current number of equations to process: 3338
% Current number of ordered equations: 0
% Current number of rules: 396
% New rule produced :
% [604]
% composition(composition(A,top),composition(converse(B),B)) ->
% composition(A,composition(top,B))
% Current number of equations to process: 3337
% Current number of ordered equations: 0
% Current number of rules: 397
% New rule produced :
% [605]
% composition(composition(A,complement(one)),complement(composition(complement(one),top)))
% -> zero
% Current number of equations to process: 3334
% Current number of ordered equations: 0
% Current number of rules: 398
% New rule produced :
% [606]
% composition(complement(one),composition(complement(composition(complement(one),top)),A))
% -> zero
% Current number of equations to process: 3333
% Current number of ordered equations: 0
% Current number of rules: 399
% New rule produced :
% [607]
% complement(composition(complement(composition(complement(A),top)),top)) join A
% -> top
% Current number of equations to process: 3332
% Current number of ordered equations: 0
% Current number of rules: 400
% New rule produced :
% [608]
% converse(composition(top,composition(A,top))) ->
% composition(composition(top,A),top)
% Rule
% [443]
% converse(composition(top,composition(A,top))) join converse(complement(A)) ->
% top collapsed.
% Rule
% [446]
% converse(composition(top,composition(complement(A),top))) join converse(A) ->
% top collapsed.
% Rule
% [467]
% converse(composition(top,composition(A,top))) join complement(converse(A)) ->
% top collapsed.
% Rule
% [577]
% converse(composition(top,composition(complement(converse(A)),top))) join A ->
% top collapsed.
% Current number of equations to process: 3341
% Current number of ordered equations: 0
% Current number of rules: 397
% New rule produced :
% [609] converse(complement(A)) join composition(composition(top,A),top) -> top
% Current number of equations to process: 3340
% Current number of ordered equations: 0
% Current number of rules: 398
% New rule produced :
% [610] converse(A) join composition(composition(top,complement(A)),top) -> top
% Current number of equations to process: 3339
% Current number of ordered equations: 0
% Current number of rules: 399
% New rule produced :
% [611] composition(composition(top,A),top) join complement(converse(A)) -> top
% Current number of equations to process: 3338
% Current number of ordered equations: 0
% Current number of rules: 400
% New rule produced :
% [612] composition(composition(top,complement(converse(A))),top) join A -> top
% Current number of equations to process: 3337
% Current number of ordered equations: 0
% Current number of rules: 401
% New rule produced :
% [613]
% composition(complement(one),composition(top,complement(one))) ->
% composition(complement(one),top)
% Current number of equations to process: 3436
% Current number of ordered equations: 0
% Current number of rules: 402
% New rule produced :
% [614]
% composition(composition(A,top),complement(composition(top,composition(A,top))))
% -> zero
% Current number of equations to process: 3465
% Current number of ordered equations: 0
% Current number of rules: 403
% New rule produced :
% [615]
% composition(composition(A,top),composition(composition(top,A),top)) ->
% composition(A,top)
% Current number of equations to process: 3472
% Current number of ordered equations: 0
% Current number of rules: 404
% New rule produced :
% [616]
% composition(composition(A,converse(B)),composition(B,top)) ->
% composition(A,converse(composition(top,B)))
% Current number of equations to process: 3471
% Current number of ordered equations: 0
% Current number of rules: 405
% New rule produced :
% [617]
% composition(composition(converse(A),A),composition(top,B)) ->
% composition(converse(composition(top,A)),B)
% Current number of equations to process: 3470
% Current number of ordered equations: 0
% Current number of rules: 406
% New rule produced :
% [618]
% composition(converse(composition(A,B)),composition(A,top)) ->
% converse(composition(composition(top,A),B))
% Current number of equations to process: 3469
% Current number of ordered equations: 0
% Current number of rules: 407
% New rule produced :
% [619]
% composition(converse(A),composition(A,composition(top,B))) ->
% composition(converse(composition(top,A)),B)
% Current number of equations to process: 3467
% Current number of ordered equations: 0
% Current number of rules: 408
% New rule produced :
% [620]
% converse(composition(composition(top,A),top)) ->
% composition(composition(top,A),top)
% Rule
% [464]
% converse(composition(composition(top,A),top)) join converse(complement(A)) ->
% top collapsed.
% Rule
% [584]
% converse(composition(composition(top,A),top)) join complement(converse(A)) ->
% top collapsed.
% Rule
% [585]
% converse(composition(composition(top,complement(A)),top)) join converse(A) ->
% top collapsed.
% Rule
% [590]
% converse(composition(composition(top,complement(converse(A))),top)) join A ->
% top collapsed.
% Current number of equations to process: 3461
% Current number of ordered equations: 0
% Current number of rules: 405
% New rule produced :
% [621]
% composition(composition(top,B),converse(composition(A,B))) ->
% converse(composition(composition(A,B),top))
% Current number of equations to process: 3457
% Current number of ordered equations: 0
% Current number of rules: 406
% New rule produced :
% [622]
% composition(composition(top,A),composition(converse(A),B)) ->
% composition(converse(composition(A,top)),B)
% Current number of equations to process: 3456
% Current number of ordered equations: 0
% Current number of rules: 407
% New rule produced :
% [623]
% composition(composition(composition(top,A),converse(A)),B) ->
% composition(converse(composition(A,top)),B)
% Current number of equations to process: 3455
% Current number of ordered equations: 0
% Current number of rules: 408
% New rule produced :
% [624]
% converse(composition(complement(one),complement(one))) ->
% composition(complement(one),complement(one))
% Rule
% [532]
% converse(composition(complement(one),complement(one))) join complement(one)
% -> composition(top,complement(one)) collapsed.
% Current number of equations to process: 3917
% Current number of ordered equations: 0
% Current number of rules: 408
% New rule produced :
% [625]
% composition(composition(top,complement(one)),complement(one)) ->
% composition(top,complement(one))
% Current number of equations to process: 3920
% Current number of ordered equations: 0
% Current number of rules: 409
% New rule produced :
% [626]
% composition(composition(complement(one),top),complement(one)) ->
% composition(top,complement(one))
% Current number of equations to process: 3919
% Current number of ordered equations: 0
% Current number of rules: 410
% New rule produced :
% [627]
% composition(complement(one),complement(composition(top,complement(one)))) ->
% zero
% Current number of equations to process: 4103
% Current number of ordered equations: 0
% Current number of rules: 411
% New rule produced :
% [628]
% composition(A,composition(complement(one),top)) <->
% composition(composition(A,top),complement(one))
% Rule
% [390]
% composition(top,composition(complement(one),top)) ->
% composition(complement(one),top) collapsed.
% Current number of equations to process: 4102
% Current number of ordered equations: 1
% Current number of rules: 411
% New rule produced :
% [629]
% composition(composition(A,top),complement(one)) <->
% composition(A,composition(complement(one),top))
% Current number of equations to process: 4102
% Current number of ordered equations: 0
% Current number of rules: 412
% New rule produced :
% [630]
% composition(top,composition(complement(one),A)) <->
% composition(composition(complement(one),top),A)
% Current number of equations to process: 4101
% Current number of ordered equations: 1
% Current number of rules: 413
% New rule produced :
% [631]
% composition(composition(complement(one),top),A) <->
% composition(top,composition(complement(one),A))
% Current number of equations to process: 4101
% Current number of ordered equations: 0
% Current number of rules: 414
% New rule produced :
% [632]
% composition(A,composition(top,complement(one))) <->
% composition(composition(A,complement(one)),top)
% Current number of equations to process: 4100
% Current number of ordered equations: 1
% Current number of rules: 415
% New rule produced :
% [633]
% composition(composition(A,complement(one)),top) <->
% composition(A,composition(top,complement(one)))
% Current number of equations to process: 4100
% Current number of ordered equations: 0
% Current number of rules: 416
% New rule produced :
% [634]
% composition(complement(one),composition(top,A)) <->
% composition(composition(top,complement(one)),A)
% Current number of equations to process: 4099
% Current number of ordered equations: 1
% Current number of rules: 417
% New rule produced :
% [635]
% composition(composition(top,complement(one)),A) <->
% composition(complement(one),composition(top,A))
% Rule
% [490]
% composition(composition(top,complement(one)),top) ->
% composition(top,complement(one)) collapsed.
% Current number of equations to process: 4099
% Current number of ordered equations: 0
% Current number of rules: 417
% New rule produced :
% [636]
% one join composition(A,complement(composition(complement(one),top))) -> one
% Current number of equations to process: 4098
% Current number of ordered equations: 0
% Current number of rules: 418
% New rule produced :
% [637]
% composition(composition(complement(one),top),A) join A -> composition(top,A)
% Current number of equations to process: 4097
% Current number of ordered equations: 0
% Current number of rules: 419
% New rule produced :
% [638]
% composition(top,complement(composition(top,complement(one)))) ->
% complement(composition(complement(one),top))
% Current number of equations to process: 4826
% Current number of ordered equations: 0
% Current number of rules: 420
% New rule produced :
% [639]
% composition(composition(A,top),complement(one)) join A -> composition(A,top)
% Current number of equations to process: 4949
% Current number of ordered equations: 0
% Current number of rules: 421
% New rule produced :
% [640]
% composition(A,composition(complement(one),top)) join A -> composition(A,top)
% Current number of equations to process: 1769
% Current number of ordered equations: 0
% Current number of rules: 422
% New rule produced :
% [641]
% composition(converse(A),composition(complement(one),top)) ->
% converse(composition(composition(top,complement(one)),A))
% Current number of equations to process: 2519
% Current number of ordered equations: 0
% Current number of rules: 423
% Rule [528]
% composition(complement(one),composition(top,A)) <->
% conversCputime limit exceeded (core dumped)
% 
% EOF
%------------------------------------------------------------------------------