TSTP Solution File: REL042-1 by CiME---2.01
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%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : REL042-1 : TPTP v6.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n033.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 00:31:30 EDT 2014
% Result : Timeout 300.03s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : REL042-1 : TPTP v6.0.0. Released v4.0.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n033.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 02:37:18 CDT 2014
% % CPUTime : 300.03
% Processing problem /tmp/CiME_49788_n033.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " join : AC; sk1,zero,top,one : constant; converse : 1; composition : 2; meet : 2; complement : 1;";
% let X = vars "A B C";
% let Axioms = equations F X "
% composition(composition(A,B),C) = composition(A,composition(B,C));
% A = complement(complement(A) join complement(B)) join complement(complement(A) join B);
% meet(A,B) = complement(complement(A) join complement(B));
% composition(A,one) = A;
% composition(A join B,C) = composition(A,C) join composition(B,C);
% converse(converse(A)) = A;
% converse(A join B) = converse(A) join converse(B);
% converse(composition(A,B)) = composition(converse(B),converse(A));
% composition(converse(A),complement(composition(A,B))) join complement(B) = complement(B);
% top = A join complement(A);
% zero = meet(A,complement(A));
% meet(composition(sk1,A),composition(sk1,complement(A))) = zero;
% ";
%
% let s1 = status F "
% sk1 lr_lex;
% zero lr_lex;
% top lr_lex;
% converse lr_lex;
% one lr_lex;
% meet lr_lex;
% complement lr_lex;
% composition mul;
% join mul;
% ";
%
% let p1 = precedence F "
% meet > composition > complement > converse > join > one > top > zero > sk1";
%
% let s2 = status F "
% sk1 mul;
% zero mul;
% top mul;
% converse mul;
% one mul;
% composition mul;
% meet mul;
% complement mul;
% join mul;
% ";
%
% let p2 = precedence F "
% meet > composition > complement > converse > join > one = top = zero = sk1";
%
% let o_auto = AUTO Axioms;
%
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
%
% let Conjectures = equations F X " composition(converse(sk1),sk1) join one = one;"
% ;
% (*
% let Red_Axioms = normalize_equations Defining_rules Axioms;
%
% let Red_Conjectures = normalize_equations Defining_rules Conjectures;
% *)
% #time on;
%
% let res = prove_conj_by_ordered_completion o Axioms Conjectures;
%
% #time off;
%
%
% let status = if res then "unsatisfiable" else "satisfiable";
% #quit;
% Verbose level is now 1
%
% F : signature = <signature>
% X : variable_set = <variable set>
%
% Axioms : (F,X) equations = { composition(composition(A,B),C) =
% composition(A,composition(B,C)),
% A =
% complement(complement(A) join complement(B)) join
% complement(complement(A) join B),
% meet(A,B) =
% complement(complement(A) join complement(B)),
% composition(A,one) = A,
% composition(A join B,C) =
% composition(A,C) join composition(B,C),
% converse(converse(A)) = A,
% converse(A join B) =
% converse(A) join converse(B),
% converse(composition(A,B)) =
% composition(converse(B),converse(A)),
% composition(converse(A),complement(composition(A,B))) join
% complement(B) = complement(B),
% top = complement(A) join A,
% zero = meet(A,complement(A)),
% meet(composition(sk1,A),composition(sk1,
% complement(A))) = zero }
% (12 equation(s))
% s1 : F status = <status>
% p1 : F precedence = <precedence>
% s2 : F status = <status>
% p2 : F precedence = <precedence>
% o_auto : F term_ordering = <term ordering>
% o : F term_ordering = <term ordering>
% Conjectures : (F,X) equations = { one join composition(converse(sk1),sk1) =
% one } (1 equation(s))
% time is now on
%
% Initializing completion ...
% New rule produced : [1] converse(converse(A)) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 12
% Current number of rules: 1
% New rule produced : [2] composition(A,one) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 11
% Current number of rules: 2
% New rule produced : [3] complement(A) join A -> top
% Current number of equations to process: 0
% Current number of ordered equations: 10
% Current number of rules: 3
% New rule produced : [4] meet(A,complement(A)) -> zero
% Current number of equations to process: 0
% Current number of ordered equations: 9
% Current number of rules: 4
% New rule produced : [5] converse(A join B) -> converse(A) join converse(B)
% Current number of equations to process: 0
% Current number of ordered equations: 8
% Current number of rules: 5
% New rule produced :
% [6] composition(converse(B),converse(A)) -> converse(composition(A,B))
% Current number of equations to process: 0
% Current number of ordered equations: 7
% Current number of rules: 6
% New rule produced :
% [7] composition(A,composition(B,C)) <-> composition(composition(A,B),C)
% Current number of equations to process: 23
% Current number of ordered equations: 12
% Current number of rules: 7
% New rule produced :
% [8] composition(composition(A,B),C) <-> composition(A,composition(B,C))
% Current number of equations to process: 23
% Current number of ordered equations: 11
% Current number of rules: 8
% New rule produced :
% [9] meet(A,B) -> complement(complement(A) join complement(B))
% Rule [4] meet(A,complement(A)) -> zero collapsed.
% Current number of equations to process: 25
% Current number of ordered equations: 9
% Current number of rules: 8
% New rule produced : [10] complement(top) -> zero
% Current number of equations to process: 23
% Current number of ordered equations: 10
% Current number of rules: 9
% New rule produced :
% [11]
% complement(complement(composition(sk1,complement(A))) join complement(
% composition(sk1,A)))
% -> zero
% Current number of equations to process: 23
% Current number of ordered equations: 9
% Current number of rules: 10
% New rule produced :
% [12] composition(A join B,C) -> composition(A,C) join composition(B,C)
% Current number of equations to process: 23
% Current number of ordered equations: 8
% Current number of rules: 11
% New rule produced :
% [13]
% composition(converse(A),complement(composition(A,B))) join complement(B) ->
% complement(B)
% Current number of equations to process: 23
% Current number of ordered equations: 7
% Current number of rules: 12
% New rule produced :
% [14]
% complement(complement(A) join complement(B)) join complement(complement(A) join B)
% -> A
% Current number of equations to process: 23
% Current number of ordered equations: 6
% Current number of rules: 13
% New rule produced : [15] top join complement(complement(A)) -> top join A
% Current number of equations to process: 23
% Current number of ordered equations: 5
% Current number of rules: 14
% New rule produced :
% [16] converse(complement(A)) join converse(A) -> converse(top)
% Current number of equations to process: 23
% Current number of ordered equations: 4
% Current number of rules: 15
% New rule produced :
% [17] converse(composition(B,converse(A))) <-> composition(A,converse(B))
% Current number of equations to process: 23
% Current number of ordered equations: 3
% Current number of rules: 16
% New rule produced :
% [18] converse(composition(converse(B),A)) <-> composition(converse(A),B)
% Current number of equations to process: 23
% Current number of ordered equations: 2
% Current number of rules: 17
% New rule produced :
% [19] composition(A,converse(B)) <-> converse(composition(B,converse(A)))
% Current number of equations to process: 23
% Current number of ordered equations: 1
% Current number of rules: 18
% New rule produced :
% [20] composition(converse(A),B) <-> converse(composition(converse(B),A))
% Current number of equations to process: 23
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [21] composition(A,composition(one,B)) -> composition(A,B)
% Current number of equations to process: 25
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced : [22] zero join top -> top
% Current number of equations to process: 31
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [23]
% complement(complement(sk1) join complement(composition(sk1,complement(one))))
% -> zero
% Current number of equations to process: 49
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [24] composition(complement(B),A) join composition(B,A) -> composition(top,A)
% Current number of equations to process: 48
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [25] top join composition(converse(A),complement(composition(A,B))) -> top
% Current number of equations to process: 47
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [26] top join complement(A join B) join B -> top join complement(A)
% Current number of equations to process: 46
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [27]
% composition(A,converse(composition(B,C))) <->
% composition(composition(A,converse(C)),converse(B))
% Current number of equations to process: 45
% Current number of ordered equations: 1
% Current number of rules: 26
% New rule produced :
% [28]
% composition(composition(A,converse(C)),converse(B)) <->
% composition(A,converse(composition(B,C)))
% Current number of equations to process: 45
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [29]
% composition(converse(B),composition(converse(A),C)) <->
% composition(converse(composition(A,B)),C)
% Current number of equations to process: 44
% Current number of ordered equations: 1
% Current number of rules: 28
% New rule produced :
% [30]
% composition(converse(composition(A,B)),C) <->
% composition(converse(B),composition(converse(A),C))
% Current number of equations to process: 44
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [31] top join complement(complement(A join B) join B) -> top join A
% Current number of equations to process: 41
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [32]
% composition(A,composition(composition(B,C),V_3)) <->
% composition(composition(A,B),composition(C,V_3))
% Current number of equations to process: 40
% Current number of ordered equations: 1
% Current number of rules: 31
% New rule produced :
% [33]
% composition(composition(A,B),composition(C,V_3)) <->
% composition(A,composition(composition(B,C),V_3))
% Current number of equations to process: 40
% 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(composition(A,B),C),V_3)
% Current number of equations to process: 37
% Current number of ordered equations: 5
% Current number of rules: 33
% New rule produced :
% [35]
% composition(A,composition(B,composition(C,V_3))) <->
% composition(composition(A,composition(B,C)),V_3)
% Current number of equations to process: 37
% Current number of ordered equations: 4
% Current number of rules: 34
% New rule produced :
% [36]
% composition(A,composition(B,composition(C,V_3))) <->
% composition(composition(composition(A,B),C),V_3)
% Current number of equations to process: 37
% Current number of ordered equations: 3
% Current number of rules: 35
% New rule produced :
% [37]
% composition(composition(A,composition(B,C)),V_3) <->
% composition(A,composition(B,composition(C,V_3)))
% Current number of equations to process: 37
% Current number of ordered equations: 2
% Current number of rules: 36
% New rule produced :
% [38]
% composition(composition(composition(A,B),C),V_3) <->
% composition(A,composition(composition(B,C),V_3))
% Current number of equations to process: 37
% Current number of ordered equations: 1
% Current number of rules: 37
% New rule produced :
% [39]
% composition(composition(composition(A,B),C),V_3) <->
% composition(A,composition(B,composition(C,V_3)))
% Current number of equations to process: 37
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [40]
% composition(composition(A,composition(B,C)),V_3) <->
% composition(composition(A,B),composition(C,V_3))
% Current number of equations to process: 36
% Current number of ordered equations: 1
% Current number of rules: 39
% New rule produced :
% [41]
% composition(composition(A,B),composition(C,V_3)) <->
% composition(composition(A,composition(B,C)),V_3)
% Current number of equations to process: 36
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [42]
% complement(complement(composition(sk1,zero)) join complement(composition(sk1,top)))
% -> zero
% Current number of equations to process: 35
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [43]
% composition(converse(A),complement(A)) join complement(one) ->
% complement(one)
% Current number of equations to process: 43
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [44]
% zero join composition(converse(A),complement(composition(A,top))) -> zero
% Current number of equations to process: 48
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [45] zero join complement(complement(A) join complement(A)) -> A
% Current number of equations to process: 78
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [46] top join complement(complement(A) join B) -> top join complement(B)
% Rule [31] top join complement(complement(A join B) join B) -> top join A
% collapsed.
% Current number of equations to process: 77
% Current number of ordered equations: 1
% Current number of rules: 44
% New rule produced : [47] top join A <-> top join complement(B)
% Rule [15] top join complement(complement(A)) -> top join A collapsed.
% Rule
% [25] top join composition(converse(A),complement(composition(A,B))) -> top
% collapsed.
% Rule [26] top join complement(A join B) join B -> top join complement(A)
% collapsed.
% Rule [46] top join complement(complement(A) join B) -> top join complement(B)
% collapsed.
% Current number of equations to process: 78
% Current number of ordered equations: 2
% Current number of rules: 41
% Rule [47] top join A <-> top join complement(B) is composed into [47]
% top join A
% -> top
% New rule produced : [48] top join complement(B) -> top
% Current number of equations to process: 77
% Current number of ordered equations: 1
% Current number of rules: 42
% New rule produced :
% [49] zero join complement(complement(complement(A)) join A) -> complement(A)
% Current number of equations to process: 76
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced : [50] complement(complement(A)) -> A
% Rule
% [49] zero join complement(complement(complement(A)) join A) -> complement(A)
% collapsed.
% Current number of equations to process: 75
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced : [51] zero join complement(A join A) -> complement(A)
% Rule [45] zero join complement(complement(A) join complement(A)) -> A
% collapsed.
% Current number of equations to process: 74
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [52]
% converse(composition(C,A join B)) ->
% converse(composition(C,A)) join converse(composition(C,B))
% Current number of equations to process: 72
% Current number of ordered equations: 1
% Current number of rules: 44
% New rule produced :
% [53]
% composition(converse(A),converse(B) join converse(C)) ->
% converse(composition(B,A)) join converse(composition(C,A))
% Current number of equations to process: 72
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [54]
% composition(A,complement(composition(converse(A),B))) join complement(B) ->
% complement(B)
% Current number of equations to process: 71
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [55]
% 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: 47
% New rule produced : [56] 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: 48
% New rule produced :
% [57]
% complement(complement(A) join B) join B <->
% complement(complement(B) join A) join A
% Current number of equations to process: 88
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [58] complement(zero join complement(A)) join complement(zero join A) -> top
% Current number of equations to process: 86
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced : [59] converse(top) join complement(converse(A)) -> top
% Current number of equations to process: 106
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [60] converse(complement(converse(A))) join A -> converse(top)
% Current number of equations to process: 105
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced : [61] converse(zero) join converse(top) -> converse(top)
% Current number of equations to process: 106
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced : [62] composition(converse(one),A) -> A
% Current number of equations to process: 115
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced : [63] converse(top) join converse(A) -> converse(top)
% Rule [61] converse(zero) join converse(top) -> converse(top) collapsed.
% Current number of equations to process: 150
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [64]
% converse(composition(converse(A),B)) <->
% composition(converse(composition(one,B)),A)
% Current number of equations to process: 153
% Current number of ordered equations: 1
% Current number of rules: 55
% New rule produced :
% [65]
% composition(converse(composition(one,B)),A) <->
% converse(composition(converse(A),B))
% Current number of equations to process: 153
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [66] composition(zero,A) join composition(top,A) -> composition(top,A)
% Current number of equations to process: 152
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [67]
% composition(A,converse(composition(B,converse(one)))) ->
% composition(A,converse(B))
% Current number of equations to process: 152
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [68]
% converse(composition(converse(composition(one,A)),B)) <->
% composition(converse(B),A)
% Current number of equations to process: 151
% Current number of ordered equations: 1
% Current number of rules: 59
% New rule produced :
% [69]
% composition(converse(B),A) <->
% converse(composition(converse(composition(one,A)),B))
% Current number of equations to process: 151
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [70]
% composition(A,composition(composition(one,B),C)) ->
% composition(A,composition(B,C))
% Current number of equations to process: 150
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [71]
% converse(composition(A,composition(B,converse(C)))) <->
% composition(C,converse(composition(A,B)))
% Current number of equations to process: 147
% Current number of ordered equations: 1
% Current number of rules: 62
% New rule produced :
% [72]
% composition(C,converse(composition(A,B))) <->
% converse(composition(A,composition(B,converse(C))))
% Current number of equations to process: 147
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [73]
% converse(composition(composition(converse(A),B),C)) <->
% composition(converse(composition(B,C)),A)
% Current number of equations to process: 146
% Current number of ordered equations: 1
% Current number of rules: 64
% New rule produced :
% [74]
% composition(converse(composition(B,C)),A) <->
% converse(composition(composition(converse(A),B),C))
% Current number of equations to process: 146
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [75]
% composition(A,converse(composition(B,converse(C)))) <->
% composition(composition(A,C),converse(B))
% Current number of equations to process: 145
% Current number of ordered equations: 1
% Current number of rules: 66
% New rule produced :
% [76]
% composition(composition(A,C),converse(B)) <->
% composition(A,converse(composition(B,converse(C))))
% Current number of equations to process: 145
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [77]
% converse(composition(C,converse(composition(A,B)))) <->
% composition(A,composition(B,converse(C)))
% Current number of equations to process: 143
% Current number of ordered equations: 3
% Current number of rules: 68
% New rule produced :
% [78]
% composition(A,composition(B,converse(C))) <->
% converse(composition(C,converse(composition(A,B))))
% Current number of equations to process: 143
% Current number of ordered equations: 2
% Current number of rules: 69
% New rule produced :
% [79]
% composition(B,composition(converse(A),C)) <->
% composition(converse(composition(A,converse(B))),C)
% Current number of equations to process: 143
% Current number of ordered equations: 1
% Current number of rules: 70
% New rule produced :
% [80]
% composition(converse(composition(A,converse(B))),C) <->
% composition(B,composition(converse(A),C))
% Current number of equations to process: 143
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [81]
% converse(composition(converse(composition(B,C)),A)) <->
% composition(composition(converse(A),B),C)
% Current number of equations to process: 141
% Current number of ordered equations: 3
% Current number of rules: 72
% New rule produced :
% [82]
% composition(A,converse(composition(converse(B),C))) <->
% composition(composition(A,converse(C)),B)
% Current number of equations to process: 141
% Current number of ordered equations: 2
% Current number of rules: 73
% New rule produced :
% [83]
% composition(composition(converse(A),B),C) <->
% converse(composition(converse(composition(B,C)),A))
% Current number of equations to process: 141
% Current number of ordered equations: 1
% Current number of rules: 74
% New rule produced :
% [84]
% composition(composition(A,converse(C)),B) <->
% composition(A,converse(composition(converse(B),C)))
% Current number of equations to process: 141
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [85]
% composition(converse(B),composition(A,C)) <->
% composition(converse(composition(converse(A),B)),C)
% Current number of equations to process: 140
% Current number of ordered equations: 1
% Current number of rules: 76
% New rule produced :
% [86]
% composition(converse(composition(converse(A),B)),C) <->
% composition(converse(B),composition(A,C))
% Current number of equations to process: 140
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [87] 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: 78
% New rule produced :
% [88]
% 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: 79
% New rule produced :
% [89]
% 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: 80
% New rule produced :
% [90]
% 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: 81
% New rule produced :
% [91]
% 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: 82
% New rule produced :
% [92]
% 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: 83
% New rule produced :
% [93]
% 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: 84
% New rule produced :
% [94]
% 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: 85
% New rule produced :
% [95]
% 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: 86
% New rule produced :
% [96]
% zero join complement(sk1) join complement(composition(sk1,complement(one)))
% -> top
% Current number of equations to process: 132
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [97] complement(sk1) join complement(composition(sk1,complement(one))) -> top
% Rule
% [23]
% complement(complement(sk1) join complement(composition(sk1,complement(one))))
% -> zero collapsed.
% Rule
% [96]
% zero join complement(sk1) join complement(composition(sk1,complement(one)))
% -> top collapsed.
% Current number of equations to process: 139
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [98] composition(top,A) join complement(composition(B,A)) -> top
% Current number of equations to process: 157
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [99]
% zero join complement(composition(sk1,complement(one)) join complement(sk1))
% -> sk1
% Current number of equations to process: 163
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [100]
% composition(composition(A,converse(one)),converse(B)) ->
% composition(A,converse(B))
% Current number of equations to process: 173
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [101]
% converse(composition(composition(C,converse(B)),converse(A))) <->
% composition(A,composition(B,converse(C)))
% Current number of equations to process: 176
% Current number of ordered equations: 1
% Current number of rules: 90
% New rule produced :
% [102]
% composition(A,composition(B,converse(C))) <->
% converse(composition(composition(C,converse(B)),converse(A)))
% Current number of equations to process: 176
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [103]
% converse(composition(composition(converse(C),B),converse(A))) <->
% composition(A,composition(converse(B),C))
% Current number of equations to process: 175
% Current number of ordered equations: 1
% Current number of rules: 92
% New rule produced :
% [104]
% composition(A,composition(converse(B),C)) <->
% converse(composition(composition(converse(C),B),converse(A)))
% Current number of equations to process: 175
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [105]
% converse(composition(converse(C),composition(B,converse(A)))) <->
% composition(composition(A,converse(B)),C)
% Current number of equations to process: 174
% Current number of ordered equations: 1
% Current number of rules: 94
% New rule produced :
% [106]
% composition(composition(A,converse(B)),C) <->
% converse(composition(converse(C),composition(B,converse(A))))
% Current number of equations to process: 174
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [107]
% converse(composition(converse(C),composition(converse(B),A))) <->
% composition(composition(converse(A),B),C)
% Current number of equations to process: 173
% Current number of ordered equations: 1
% Current number of rules: 96
% New rule produced :
% [108]
% composition(composition(converse(A),B),C) <->
% converse(composition(converse(C),composition(converse(B),A)))
% Current number of equations to process: 173
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [109]
% converse(composition(composition(A,B),converse(C))) <->
% composition(composition(C,converse(B)),converse(A))
% Current number of equations to process: 188
% Current number of ordered equations: 1
% Current number of rules: 98
% New rule produced :
% [110]
% composition(composition(C,converse(B)),converse(A)) <->
% converse(composition(composition(A,B),converse(C)))
% Current number of equations to process: 188
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [111]
% converse(composition(composition(A,converse(B)),converse(C))) <->
% composition(composition(C,B),converse(A))
% Current number of equations to process: 187
% Current number of ordered equations: 1
% Current number of rules: 100
% New rule produced :
% [112]
% composition(composition(C,B),converse(A)) <->
% converse(composition(composition(A,converse(B)),converse(C)))
% Current number of equations to process: 187
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [113]
% converse(composition(A,converse(composition(B,C)))) <->
% composition(B,converse(composition(A,converse(C))))
% Current number of equations to process: 203
% Current number of ordered equations: 1
% Current number of rules: 102
% New rule produced :
% [114]
% composition(B,converse(composition(A,converse(C)))) <->
% converse(composition(A,converse(composition(B,C))))
% Current number of equations to process: 203
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [115]
% converse(composition(A,converse(composition(B,converse(C))))) <->
% composition(B,converse(composition(A,C)))
% Current number of equations to process: 202
% Current number of ordered equations: 1
% Current number of rules: 104
% New rule produced :
% [116]
% composition(B,converse(composition(A,C))) <->
% converse(composition(A,converse(composition(B,converse(C)))))
% Current number of equations to process: 202
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [117]
% converse(composition(converse(composition(A,B)),C)) <->
% composition(converse(composition(converse(A),C)),B)
% Current number of equations to process: 217
% Current number of ordered equations: 1
% Current number of rules: 106
% New rule produced :
% [118]
% composition(converse(composition(converse(A),C)),B) <->
% converse(composition(converse(composition(A,B)),C))
% Current number of equations to process: 217
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [119]
% converse(composition(converse(composition(converse(A),B)),C)) <->
% composition(converse(composition(A,C)),B)
% Current number of equations to process: 216
% Current number of ordered equations: 1
% Current number of rules: 108
% New rule produced :
% [120]
% composition(converse(composition(A,C)),B) <->
% converse(composition(converse(composition(converse(A),B)),C))
% Current number of equations to process: 216
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [121]
% converse(composition(converse(A),composition(B,C))) <->
% composition(converse(C),composition(converse(B),A))
% Current number of equations to process: 237
% Current number of ordered equations: 1
% Current number of rules: 110
% New rule produced :
% [122]
% composition(converse(C),composition(converse(B),A)) <->
% converse(composition(converse(A),composition(B,C)))
% Current number of equations to process: 237
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [123]
% converse(composition(converse(A),composition(converse(B),C))) <->
% composition(converse(C),composition(B,A))
% Current number of equations to process: 238
% Current number of ordered equations: 1
% Current number of rules: 112
% New rule produced :
% [124]
% composition(converse(C),composition(B,A)) <->
% converse(composition(converse(A),composition(converse(B),C)))
% Current number of equations to process: 238
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [125]
% complement(composition(sk1,zero)) join complement(composition(sk1,top)) ->
% top
% Rule
% [42]
% complement(complement(composition(sk1,zero)) join complement(composition(sk1,top)))
% -> zero collapsed.
% Current number of equations to process: 758
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [126]
% composition(A,complement(converse(A))) join complement(one) ->
% complement(one)
% Current number of equations to process: 770
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [127]
% converse(composition(converse(zero),top)) join complement(one) ->
% complement(one)
% Current number of equations to process: 769
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [128]
% complement(one) join complement(composition(converse(A),complement(A))) ->
% top
% Current number of equations to process: 771
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced : [129] zero join one -> one
% Current number of equations to process: 774
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [130]
% zero join composition(A,complement(composition(converse(A),top))) -> zero
% Current number of equations to process: 794
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [131]
% zero join complement(composition(converse(A),complement(composition(A,top))))
% -> top
% Current number of equations to process: 793
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [132] composition(top,A) join composition(B,A) -> composition(top,A)
% Rule [66] composition(zero,A) join composition(top,A) -> composition(top,A)
% collapsed.
% Current number of equations to process: 802
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced : [133] complement(zero) -> top
% Current number of equations to process: 804
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [134]
% complement(composition(sk1,complement(A))) join complement(composition(sk1,A))
% -> top
% Rule
% [11]
% complement(complement(composition(sk1,complement(A))) join complement(
% composition(sk1,A)))
% -> zero collapsed.
% Current number of equations to process: 804
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [135] complement(complement(A join A) join A) -> zero join zero
% Current number of equations to process: 827
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [136] complement(zero join A) join complement(B) join A -> top
% Current number of equations to process: 828
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [137]
% converse(zero) join converse(complement(A join A)) -> converse(complement(A))
% Current number of equations to process: 827
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced : [138] A join A <-> zero join A
% Current number of equations to process: 832
% Current number of ordered equations: 1
% Current number of rules: 124
% New rule produced : [139] zero join A <-> A join A
% Current number of equations to process: 832
% Current number of ordered equations: 0
% Current number of rules: 125
% Rule [135] complement(complement(A join A) join A) -> zero join zero is composed into
% [135] complement(complement(A join A) join A) -> zero
% New rule produced : [140] zero join zero -> zero
% Current number of equations to process: 834
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [141]
% converse(composition(converse(A),complement(A))) join complement(one) ->
% complement(one)
% Current number of equations to process: 832
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [142]
% composition(converse(A),complement(composition(A,complement(B)))) join B -> B
% Current number of equations to process: 831
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [143]
% complement(B join B) join complement(A) <->
% complement(A join A) join complement(B)
% Current number of equations to process: 830
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [144] complement(complement(A join A) join A join B) -> zero
% Current number of equations to process: 829
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [145] composition(A,B join C) -> composition(A,B) join composition(A,C)
% Rule
% [52]
% converse(composition(C,A join B)) ->
% converse(composition(C,A)) join converse(composition(C,B)) collapsed.
% Rule
% [53]
% composition(converse(A),converse(B) join converse(C)) ->
% converse(composition(B,A)) join converse(composition(C,A)) collapsed.
% Current number of equations to process: 843
% Current number of ordered equations: 0
% Current number of rules: 129
% 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
% [58] complement(zero join complement(A)) join complement(zero join A) -> top
% collapsed.
% Current number of equations to process: 860
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [147]
% composition(A,complement(composition(converse(A),complement(B)))) join B -> B
% Current number of equations to process: 885
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [148] converse(top) join complement(converse(A) join converse(B)) -> top
% Current number of equations to process: 892
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [149]
% composition(converse(B),complement(composition(B,top))) join complement(A) ->
% complement(A)
% Current number of equations to process: 898
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced : [150] zero join converse(top) -> converse(top)
% Current number of equations to process: 903
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [151]
% converse(composition(converse(A),complement(A))) join converse(complement(one))
% -> converse(complement(one))
% Current number of equations to process: 902
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [152]
% complement(composition(A,complement(composition(converse(A),B)))) join
% complement(B) -> top
% Current number of equations to process: 899
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [153]
% complement(converse(complement(A join A)) join converse(A)) ->
% zero join complement(converse(top))
% Current number of equations to process: 897
% Current number of ordered equations: 0
% Current number of rules: 135
% Rule [153]
% complement(converse(complement(A join A)) join converse(A)) ->
% zero join complement(converse(top)) is composed into [153]
% complement(
% converse(complement(
% A join A)) join
% converse(A)) ->
% zero join complement(top)
% Rule [60] converse(complement(converse(A))) join A -> converse(top) is composed into
% [60] converse(complement(converse(A))) join A -> top
% Rule [55]
% converse(complement(A join B)) join converse(A) join converse(B) ->
% converse(top) is composed into [55]
% converse(complement(A join B)) join
% converse(A) join converse(B) -> top
% Rule [16] converse(complement(A)) join converse(A) -> converse(top) is composed into
% [16] converse(complement(A)) join converse(A) -> top
% New rule produced : [154] converse(top) -> top
% Rule [59] converse(top) join complement(converse(A)) -> top collapsed.
% Rule [63] converse(top) join converse(A) -> converse(top) collapsed.
% Rule [87] converse(top) join complement(converse(A) join B) join B -> top
% collapsed.
% Rule [148] converse(top) join complement(converse(A) join converse(B)) -> top
% collapsed.
% Rule [150] zero join converse(top) -> converse(top) collapsed.
% Current number of equations to process: 898
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced : [155] complement(zero join A) join A join B -> top
% Rule [136] complement(zero join A) join complement(B) join A -> top
% collapsed.
% Current number of equations to process: 900
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced : [156] zero join complement(zero join A) -> complement(A)
% Rule [56] zero join complement(zero join complement(A)) -> A collapsed.
% Current number of equations to process: 909
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced : [157] complement(zero join A) join A -> top
% Rule [155] complement(zero join A) join A join B -> top collapsed.
% Current number of equations to process: 909
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [158] composition(converse(B),complement(composition(B,top))) join A -> A
% Rule
% [44]
% 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: 930
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [159]
% converse(zero) join converse(complement(zero join complement(A))) ->
% converse(A)
% Current number of equations to process: 929
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced : [160] zero join A join A -> zero join A
% Current number of equations to process: 996
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [161]
% complement(zero join complement(A)) join complement(B) ->
% complement(B) join A
% Current number of equations to process: 994
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [162] converse(complement(converse(zero))) join complement(A) -> top
% Current number of equations to process: 1082
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced : [163] converse(one) -> one
% Rule [62] composition(converse(one),A) -> A collapsed.
% Rule
% [67]
% composition(A,converse(composition(B,converse(one)))) ->
% composition(A,converse(B)) collapsed.
% Rule
% [100]
% composition(composition(A,converse(one)),converse(B)) ->
% composition(A,converse(B)) collapsed.
% Current number of equations to process: 1095
% Current number of ordered equations: 0
% Current number of rules: 132
% Rule [69]
% composition(converse(B),A) <->
% converse(composition(converse(composition(one,A)),B)) is composed into
% [69] composition(converse(B),A) <-> converse(composition(converse(A),B))
% Rule [64]
% converse(composition(converse(A),B)) <->
% composition(converse(composition(one,B)),A) is composed into [64]
% converse(
% composition(
% converse(A),B))
% <->
% composition(
% converse(B),A)
% New rule produced : [164] composition(one,A) -> A
% Rule [21] composition(A,composition(one,B)) -> composition(A,B) collapsed.
% Rule
% [65]
% composition(converse(composition(one,B)),A) <->
% converse(composition(converse(A),B)) collapsed.
% Rule
% [68]
% converse(composition(converse(composition(one,A)),B)) <->
% composition(converse(B),A) collapsed.
% Rule
% [70]
% composition(A,composition(composition(one,B),C)) ->
% composition(A,composition(B,C)) collapsed.
% Current number of equations to process: 1094
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [165]
% converse(complement(converse(composition(A,B)))) join composition(top,B) ->
% top
% Current number of equations to process: 1179
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [166]
% converse(complement(converse(complement(A join A)))) join complement(A) ->
% top
% Current number of equations to process: 1178
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [167]
% composition(B,converse(composition(converse(C),A))) <->
% composition(converse(composition(A,converse(B))),C)
% Current number of equations to process: 1177
% Current number of ordered equations: 1
% Current number of rules: 132
% New rule produced :
% [168]
% composition(converse(composition(A,converse(B))),C) <->
% composition(B,converse(composition(converse(C),A)))
% Current number of equations to process: 1177
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [169]
% converse(composition(composition(A,converse(B)),C)) <->
% composition(composition(converse(C),B),converse(A))
% Current number of equations to process: 1389
% Current number of ordered equations: 1
% Current number of rules: 134
% New rule produced :
% [170]
% composition(composition(converse(C),B),converse(A)) <->
% converse(composition(composition(A,converse(B)),C))
% Current number of equations to process: 1389
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [171]
% converse(composition(A,composition(converse(B),C))) <->
% composition(converse(C),composition(B,converse(A)))
% Current number of equations to process: 1502
% Current number of ordered equations: 1
% Current number of rules: 136
% New rule produced :
% [172]
% composition(converse(C),composition(B,converse(A))) <->
% converse(composition(A,composition(converse(B),C)))
% Current number of equations to process: 1502
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [173]
% converse(composition(converse(C),composition(B,converse(A)))) <->
% composition(A,composition(converse(B),C))
% Current number of equations to process: 2199
% Current number of ordered equations: 1
% Current number of rules: 138
% New rule produced :
% [174]
% composition(A,composition(converse(B),C)) <->
% converse(composition(converse(C),composition(B,converse(A))))
% Current number of equations to process: 2199
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [175]
% converse(composition(composition(converse(C),B),converse(A))) <->
% composition(composition(A,converse(B)),C)
% Current number of equations to process: 2198
% Current number of ordered equations: 1
% Current number of rules: 140
% New rule produced :
% [176]
% composition(composition(A,converse(B)),C) <->
% converse(composition(composition(converse(C),B),converse(A)))
% Current number of equations to process: 2198
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [177]
% converse(complement(sk1)) join converse(complement(composition(sk1,complement(one))))
% -> top
% Current number of equations to process: 2933
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [178]
% converse(composition(top,A)) join converse(complement(composition(B,A))) ->
% top
% Current number of equations to process: 2932
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [179]
% composition(top,converse(A)) join complement(converse(composition(A,B))) ->
% top
% Current number of equations to process: 2931
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [180]
% composition(top,A) join complement(composition(B,composition(C,A))) -> top
% Current number of equations to process: 2930
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [181]
% converse(composition(A,top)) join complement(composition(B,converse(A))) ->
% top
% Current number of equations to process: 2929
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [182]
% composition(top,A) join complement(converse(composition(converse(A),B))) ->
% top
% Current number of equations to process: 2928
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [183] sk1 join complement(zero join complement(A)) -> sk1 join A
% Current number of equations to process: 2943
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [184] sk1 join converse(complement(converse(zero))) -> top
% Current number of equations to process: 2946
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [185]
% zero join composition(sk1,complement(one)) join complement(sk1) ->
% zero join complement(sk1)
% Current number of equations to process: 2981
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [186]
% complement(one) join complement(composition(A,complement(converse(A)))) ->
% top
% Current number of equations to process: 1814
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [187]
% complement(one) join complement(converse(composition(converse(zero),top))) ->
% top
% Current number of equations to process: 1884
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [188]
% converse(complement(one)) join composition(converse(zero),top) ->
% converse(complement(one))
% Current number of equations to process: 1883
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [189] composition(top,zero) join complement(one) -> complement(one)
% Current number of equations to process: 1886
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [190]
% converse(complement(composition(converse(zero),top))) join complement(one) ->
% top
% Current number of equations to process: 1885
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [191] complement(one) join complement(composition(top,zero)) -> top
% Current number of equations to process: 1900
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [192]
% complement(one) join complement(converse(composition(converse(A),complement(A))))
% -> top
% Current number of equations to process: 1907
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced : [193] one join converse(zero) -> one
% Current number of equations to process: 1966
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced : [194] composition(zero,A) join A -> A
% Current number of equations to process: 1968
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced : [195] one join converse(complement(one)) -> top
% Current number of equations to process: 1971
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [196] one join converse(complement(converse(zero))) -> top
% Current number of equations to process: 1980
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [197] one join complement(A join A) -> one join complement(A)
% Current number of equations to process: 1980
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [198] one join complement(zero join complement(A)) -> one join A
% Current number of equations to process: 1979
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [199]
% zero join composition(A,complement(converse(composition(top,A)))) -> zero
% Current number of equations to process: 1998
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [200]
% zero join complement(composition(A,complement(composition(converse(A),top))))
% -> top
% Current number of equations to process: 1999
% Current number of ordered equations: 0
% Current number of rules: 165
% Rule [153]
% complement(converse(complement(A join A)) join converse(A)) ->
% zero join complement(top) is composed into [153]
% complement(converse(complement(
% A join A)) join
% converse(A)) ->
% complement(top)
% Rule [138] A join A <-> zero join A is composed into [138] A join A -> A
% New rule produced : [201] zero join A -> A
% Rule [22] zero join top -> top collapsed.
% Rule [51] zero join complement(A join A) -> complement(A) collapsed.
% Rule
% [99]
% zero join complement(composition(sk1,complement(one)) join complement(sk1))
% -> sk1 collapsed.
% Rule [129] zero join one -> one collapsed.
% Rule
% [130]
% zero join composition(A,complement(composition(converse(A),top))) -> zero
% collapsed.
% Rule
% [131]
% zero join complement(composition(converse(A),complement(composition(A,top))))
% -> top collapsed.
% Rule [139] zero join A <-> A join A collapsed.
% Rule [140] zero join zero -> zero collapsed.
% Rule [156] zero join complement(zero join A) -> complement(A) collapsed.
% Rule [157] complement(zero join A) join A -> top collapsed.
% Rule
% [159]
% converse(zero) join converse(complement(zero join complement(A))) ->
% converse(A) collapsed.
% Rule [160] zero join A join A -> zero join A collapsed.
% Rule
% [161]
% complement(zero join complement(A)) join complement(B) ->
% complement(B) join A collapsed.
% Rule [183] sk1 join complement(zero join complement(A)) -> sk1 join A
% collapsed.
% Rule
% [185]
% zero join composition(sk1,complement(one)) join complement(sk1) ->
% zero join complement(sk1) collapsed.
% Rule [198] one join complement(zero join complement(A)) -> one join A
% collapsed.
% Rule
% [199]
% zero join composition(A,complement(converse(composition(top,A)))) -> zero
% collapsed.
% Rule
% [200]
% zero join complement(composition(A,complement(composition(converse(A),top))))
% -> top collapsed.
% Current number of equations to process: 2013
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [202] composition(A,complement(composition(converse(A),top))) -> zero
% Current number of equations to process: 2011
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [203] composition(A,complement(converse(composition(top,A)))) -> zero
% Current number of equations to process: 2010
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced : [204] converse(zero) join converse(A) -> converse(A)
% Rule
% [137]
% converse(zero) join converse(complement(A join A)) -> converse(complement(A))
% collapsed.
% Current number of equations to process: 2009
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [205]
% composition(sk1,complement(one)) join complement(sk1) -> complement(sk1)
% Current number of equations to process: 2008
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [206]
% complement(composition(converse(A),complement(composition(A,top)))) -> top
% Current number of equations to process: 2006
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [207] composition(converse(zero),top) join complement(one) -> complement(one)
% Current number of equations to process: 2104
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [208] complement(one) join complement(composition(converse(zero),top)) -> top
% Current number of equations to process: 2103
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [209]
% composition(top,A) join composition(B,composition(C,A)) -> composition(top,A)
% Current number of equations to process: 2110
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [210]
% converse(composition(converse(A),B)) join composition(top,A) ->
% composition(top,A)
% Current number of equations to process: 2109
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [211]
% converse(composition(top,A)) join converse(composition(B,A)) ->
% converse(composition(top,A))
% Current number of equations to process: 2109
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [212]
% converse(composition(A,B)) join composition(top,converse(A)) ->
% composition(top,converse(A))
% Current number of equations to process: 2108
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [213]
% converse(composition(A,top)) join composition(B,converse(A)) <->
% composition(top,converse(A))
% Current number of equations to process: 2107
% Current number of ordered equations: 1
% Current number of rules: 159
% Rule [213]
% converse(composition(A,top)) join composition(B,converse(A)) <->
% composition(top,converse(A)) is composed into [213]
% converse(composition(A,top)) join
% composition(B,converse(A))
% <->
% converse(composition(A,top)) join
% composition(sk1,converse(A))
% New rule produced :
% [214]
% composition(top,converse(A)) <->
% converse(composition(A,top)) join composition(B,converse(A))
% Rule
% [179]
% composition(top,converse(A)) join complement(converse(composition(A,B))) ->
% top collapsed.
% Rule
% [212]
% converse(composition(A,B)) join composition(top,converse(A)) ->
% composition(top,converse(A)) collapsed.
% Current number of equations to process: 2109
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [215] converse(composition(top,zero)) join complement(one) -> complement(one)
% Current number of equations to process: 2141
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [216]
% converse(composition(A,complement(converse(A)))) join complement(one) ->
% complement(one)
% Current number of equations to process: 2150
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [217]
% converse(complement(one)) join composition(converse(A),complement(A)) ->
% converse(complement(one))
% Current number of equations to process: 2155
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [218]
% converse(complement(composition(converse(A),complement(A)))) join complement(one)
% -> top
% Current number of equations to process: 2154
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [219]
% composition(A,top) join composition(A,complement(B)) -> composition(A,top)
% Current number of equations to process: 2378
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [220]
% composition(A,complement(B)) join composition(A,B) -> composition(A,top)
% Current number of equations to process: 2388
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [221] composition(A,top) join composition(A,B) -> composition(A,top)
% Rule
% [219]
% composition(A,top) join composition(A,complement(B)) -> composition(A,top)
% collapsed.
% Current number of equations to process: 2425
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [222] complement(complement(A join B) join complement(B)) -> B
% Current number of equations to process: 2571
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [223] complement(complement(complement(A) join B) join A) -> complement(A)
% Current number of equations to process: 2570
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [224]
% complement(converse(A) join complement(converse(complement(A)))) ->
% complement(converse(A))
% Current number of equations to process: 2607
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [225]
% complement(converse(complement(A)) join complement(converse(A))) ->
% complement(converse(complement(A)))
% Current number of equations to process: 2606
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [226]
% complement(complement(complement(A join B) join B) join A) -> complement(A)
% Current number of equations to process: 2629
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced : [227] complement(A join B) join B -> complement(A) join B
% Rule
% [57]
% complement(complement(A) join B) join B <->
% complement(complement(B) join A) join A collapsed.
% Rule [135] complement(complement(A join A) join A) -> zero collapsed.
% Rule [144] complement(complement(A join A) join A join B) -> zero collapsed.
% Rule
% [226]
% complement(complement(complement(A join B) join B) join A) -> complement(A)
% collapsed.
% Current number of equations to process: 2740
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [228]
% complement(complement(converse(complement(converse(A)))) join A) ->
% complement(A)
% Current number of equations to process: 2760
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [229]
% complement(converse(complement(converse(A))) join complement(A)) ->
% complement(converse(complement(converse(A))))
% Current number of equations to process: 2758
% Current number of ordered equations: 1
% Current number of rules: 168
% New rule produced :
% [230]
% converse(complement(converse(complement(A join B)))) join complement(B) ->
% top
% Rule
% [166]
% converse(complement(converse(complement(A join A)))) join complement(A) ->
% top collapsed.
% Current number of equations to process: 2758
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [231]
% complement(sk1 join complement(composition(sk1,complement(one)))) ->
% composition(sk1,complement(one))
% Current number of equations to process: 2781
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [232]
% complement(composition(sk1,top) join complement(composition(sk1,zero))) ->
% composition(sk1,zero)
% Current number of equations to process: 2843
% Current number of ordered equations: 1
% Current number of rules: 170
% New rule produced :
% [233]
% complement(composition(sk1,zero) join complement(composition(sk1,top))) ->
% composition(sk1,top)
% Current number of equations to process: 2843
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [234] complement(A join B) join complement(A) -> complement(A)
% Rule [222] complement(complement(A join B) join complement(B)) -> B
% collapsed.
% Current number of equations to process: 2862
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [235]
% complement(converse(complement(converse(complement(A)))) join A) ->
% complement(converse(complement(converse(complement(A)))))
% Current number of equations to process: 2995
% Current number of ordered equations: 1
% Current number of rules: 172
% New rule produced :
% [236]
% complement(complement(converse(complement(converse(A))) join B) join A) ->
% complement(A)
% Current number of equations to process: 2995
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [237]
% one join complement(composition(A,complement(converse(A)))) ->
% complement(composition(A,complement(converse(A))))
% Current number of equations to process: 2994
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [238]
% one join complement(converse(composition(converse(zero),top))) ->
% complement(converse(composition(converse(zero),top)))
% Current number of equations to process: 2993
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [239]
% complement(composition(top,A)) join complement(composition(B,A)) ->
% complement(composition(B,A))
% Current number of equations to process: 2992
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [240]
% converse(composition(top,zero)) join converse(complement(one)) ->
% converse(complement(one))
% Current number of equations to process: 3146
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [241] converse(complement(converse(A) join converse(B))) join A join B -> top
% Current number of equations to process: 3158
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [242]
% composition(converse(complement(converse(B))),A) join composition(B,A) ->
% composition(top,A)
% Current number of equations to process: 3157
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [243]
% converse(complement(composition(A,converse(B)))) join composition(B,converse(A))
% -> top
% Current number of equations to process: 3156
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [244]
% converse(complement(composition(converse(A),B))) join composition(converse(B),A)
% -> top
% Current number of equations to process: 3155
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [245]
% converse(complement(converse(composition(converse(A),complement(A))))) join
% complement(one) -> top
% Current number of equations to process: 3153
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [246]
% converse(composition(A,top)) join composition(sk1,converse(A)) join complement(
% converse(
% composition(A,
% converse(B))))
% -> top
% Current number of equations to process: 3151
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [247]
% converse(complement(composition(sk1,zero))) join converse(complement(
% composition(sk1,top)))
% -> top
% Current number of equations to process: 3147
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [248]
% converse(composition(A,complement(converse(A)))) join converse(complement(one))
% -> converse(complement(one))
% Current number of equations to process: 3145
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [249]
% converse(complement(converse(composition(A,complement(converse(A)))))) join
% complement(one) -> top
% Current number of equations to process: 3144
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [250]
% converse(complement(one)) join converse(complement(composition(converse(A),
% complement(A)))) -> top
% Current number of equations to process: 3141
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [251]
% complement(composition(converse(A),complement(composition(A,complement(B))))) join B
% -> top
% Current number of equations to process: 3135
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [252]
% composition(A,converse(complement(B))) join composition(A,converse(B)) ->
% composition(A,top)
% Current number of equations to process: 3134
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [253]
% composition(A,converse(complement(converse(B)))) join composition(A,B) ->
% composition(A,top)
% Current number of equations to process: 3133
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [254]
% complement(converse(A) join complement(converse(complement(A)) join B)) ->
% complement(converse(A))
% Current number of equations to process: 3131
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [255]
% complement(one join complement(composition(converse(A),complement(A)))) ->
% composition(converse(A),complement(A))
% Current number of equations to process: 3127
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [256]
% complement(composition(sk1,complement(A)) join complement(composition(sk1,A)))
% -> composition(sk1,A)
% Current number of equations to process: 3126
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [257]
% complement(composition(A,complement(composition(converse(A),complement(B))))) join B
% -> top
% Current number of equations to process: 3125
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [258]
% composition(A,complement(converse(composition(converse(complement(B)),A)))) join B
% -> B
% Current number of equations to process: 3124
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [259]
% converse(complement(one)) join complement(converse(composition(converse(A),
% complement(A)))) -> top
% Current number of equations to process: 3123
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [260]
% converse(composition(converse(zero),top)) join converse(complement(one)) ->
% converse(complement(one))
% Current number of equations to process: 3165
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [261]
% complement(composition(converse(A),complement(composition(A,B)))) join
% complement(B) -> top
% Current number of equations to process: 3221
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [262] composition(converse(A),top) -> converse(composition(top,A))
% Rule
% [127]
% converse(composition(converse(zero),top)) join complement(one) ->
% complement(one) collapsed.
% Rule
% [187]
% complement(one) join complement(converse(composition(converse(zero),top))) ->
% top collapsed.
% Rule
% [188]
% converse(complement(one)) join composition(converse(zero),top) ->
% converse(complement(one)) collapsed.
% Rule
% [190]
% converse(complement(composition(converse(zero),top))) join complement(one) ->
% top collapsed.
% Rule [202] composition(A,complement(composition(converse(A),top))) -> zero
% collapsed.
% Rule
% [207] composition(converse(zero),top) join complement(one) -> complement(one)
% collapsed.
% Rule
% [208] complement(one) join complement(composition(converse(zero),top)) -> top
% collapsed.
% Rule
% [238]
% one join complement(converse(composition(converse(zero),top))) ->
% complement(converse(composition(converse(zero),top))) collapsed.
% Rule
% [260]
% converse(composition(converse(zero),top)) join converse(complement(one)) ->
% converse(complement(one)) collapsed.
% Current number of equations to process: 3346
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [263] complement(one) join complement(converse(composition(top,zero))) -> top
% Current number of equations to process: 3384
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [264] composition(top,complement(composition(top,top))) join A -> A
% Current number of equations to process: 3383
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [265]
% composition(A,converse(composition(B,top))) <->
% composition(composition(A,top),converse(B))
% Current number of equations to process: 3381
% Current number of ordered equations: 2
% Current number of rules: 193
% New rule produced :
% [266]
% composition(composition(A,converse(B)),top) ->
% composition(A,converse(composition(top,B)))
% Current number of equations to process: 3381
% Current number of ordered equations: 1
% Current number of rules: 194
% New rule produced :
% [267]
% composition(composition(A,top),converse(B)) <->
% composition(A,converse(composition(B,top)))
% Current number of equations to process: 3381
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [268]
% composition(converse(A),composition(top,B)) <->
% composition(converse(composition(top,A)),B)
% Current number of equations to process: 3379
% Current number of ordered equations: 2
% Current number of rules: 196
% New rule produced :
% [269]
% composition(top,composition(converse(A),B)) ->
% composition(converse(composition(A,top)),B)
% Current number of equations to process: 3379
% Current number of ordered equations: 1
% Current number of rules: 197
% New rule produced :
% [270]
% composition(converse(composition(top,A)),B) <->
% composition(converse(A),composition(top,B))
% Current number of equations to process: 3379
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [271]
% converse(complement(converse(composition(top,zero)))) join complement(one) ->
% top
% Current number of equations to process: 3373
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [272] composition(top,complement(composition(top,complement(A)))) join A -> A
% Current number of equations to process: 3372
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [273]
% composition(top,complement(composition(top,A))) join complement(A) ->
% complement(A)
% Current number of equations to process: 3371
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [274]
% converse(composition(composition(B,top),converse(A))) <->
% composition(composition(A,top),converse(B))
% Current number of equations to process: 3367
% Current number of ordered equations: 1
% Current number of rules: 202
% New rule produced :
% [275]
% composition(composition(A,top),converse(B)) <->
% converse(composition(composition(B,top),converse(A)))
% Current number of equations to process: 3367
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [276]
% converse(composition(B,converse(composition(A,top)))) <->
% composition(A,converse(composition(B,top)))
% Current number of equations to process: 3365
% Current number of ordered equations: 1
% Current number of rules: 204
% New rule produced :
% [277]
% composition(A,converse(composition(B,top))) <->
% converse(composition(B,converse(composition(A,top))))
% Current number of equations to process: 3365
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [278]
% converse(composition(converse(composition(top,B)),A)) <->
% composition(converse(composition(top,A)),B)
% Current number of equations to process: 3363
% Current number of ordered equations: 1
% Current number of rules: 206
% New rule produced :
% [279]
% composition(converse(composition(top,A)),B) <->
% converse(composition(converse(composition(top,B)),A))
% Current number of equations to process: 3363
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [280]
% converse(composition(converse(B),composition(top,A))) <->
% composition(converse(A),composition(top,B))
% Current number of equations to process: 3360
% Current number of ordered equations: 1
% Current number of rules: 208
% New rule produced :
% [281]
% composition(converse(A),composition(top,B)) <->
% converse(composition(converse(B),composition(top,A)))
% Current number of equations to process: 3360
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [282]
% converse(complement(one)) join composition(top,zero) ->
% converse(complement(one))
% Current number of equations to process: 3358
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [283]
% converse(composition(sk1,converse(A))) join composition(A,top) ->
% composition(A,top)
% Current number of equations to process: 3357
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [284]
% complement(composition(top,complement(composition(top,A)))) join complement(A)
% -> top
% Current number of equations to process: 3355
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [285]
% converse(complement(converse(composition(converse(A),complement(composition(A,top))))))
% -> top
% Current number of equations to process: 3354
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [286] converse(complement(A)) join complement(converse(zero)) -> top
% Current number of equations to process: 3370
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced : [287] converse(complement(converse(zero))) join A -> top
% Rule [162] converse(complement(converse(zero))) join complement(A) -> top
% collapsed.
% Rule [184] sk1 join converse(complement(converse(zero))) -> top collapsed.
% Rule [196] one join converse(complement(converse(zero))) -> top collapsed.
% Current number of equations to process: 3374
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [288] converse(complement(one)) join complement(one) -> complement(one)
% Current number of equations to process: 3377
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced : [289] composition(top,A) join complement(A) -> top
% Current number of equations to process: 3380
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced : [290] composition(top,A) join A -> composition(top,A)
% Current number of equations to process: 3381
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [291] composition(complement(one),A) join A -> composition(top,A)
% Current number of equations to process: 3380
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [292]
% composition(converse(A),complement(composition(A,top))) <->
% composition(converse(B),complement(composition(B,top)))
% Current number of equations to process: 3381
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [293] one join converse(complement(one join A)) join converse(A) -> top
% Current number of equations to process: 3379
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [294]
% converse(complement(composition(converse(A),B))) join composition(top,A) ->
% top
% Current number of equations to process: 3377
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [295]
% one join complement(composition(top,zero)) ->
% complement(composition(top,zero))
% Current number of equations to process: 3376
% Current number of ordered equations: 0
% Current number of rules: 220
% Rule [213]
% converse(composition(A,top)) join composition(B,converse(A)) <->
% converse(composition(A,top)) join composition(sk1,converse(A)) is composed into
% [213]
% converse(composition(A,top)) join composition(B,converse(A)) ->
% converse(composition(A,top))
% New rule produced :
% [296]
% converse(composition(A,top)) join composition(sk1,converse(A)) ->
% converse(composition(A,top))
% Rule
% [246]
% converse(composition(A,top)) join composition(sk1,converse(A)) join complement(
% converse(
% composition(A,
% converse(B))))
% -> top collapsed.
% Current number of equations to process: 3376
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [297]
% composition(complement(converse(A)),complement(composition(A,top))) ->
% composition(top,complement(composition(A,top)))
% Current number of equations to process: 3375
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced :
% [298]
% converse(composition(top,A)) join complement(converse(composition(B,A))) ->
% top
% Current number of equations to process: 3416
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced :
% [299]
% converse(composition(A,top)) join converse(complement(composition(A,B))) ->
% top
% Current number of equations to process: 3415
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced :
% [300] converse(complement(converse(A))) join composition(top,A) -> top
% Current number of equations to process: 3475
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [301]
% converse(complement(converse(composition(A,B)))) join composition(A,top) ->
% top
% Current number of equations to process: 2084
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced :
% [302]
% converse(complement(composition(A,converse(B)))) join composition(B,top) ->
% top
% Current number of equations to process: 2083
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced :
% [303] converse(composition(top,A)) join converse(complement(A)) -> top
% Current number of equations to process: 2143
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced :
% [304]
% converse(composition(top,top)) join complement(composition(A,top)) -> top
% Current number of equations to process: 2316
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced :
% [305]
% converse(composition(A,top)) join complement(converse(composition(A,B))) ->
% top
% Current number of equations to process: 2357
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced :
% [306] converse(composition(A,top)) join complement(converse(A)) -> top
% Current number of equations to process: 2394
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced :
% [307]
% composition(top,top) join complement(converse(composition(top,A))) -> top
% Current number of equations to process: 2398
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [308] complement(one) join complement(composition(A,zero)) -> top
% Rule [191] complement(one) join complement(composition(top,zero)) -> top
% collapsed.
% Current number of equations to process: 2551
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [309] composition(A,zero) join complement(one) -> complement(one)
% Rule [189] composition(top,zero) join complement(one) -> complement(one)
% collapsed.
% Current number of equations to process: 2552
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [310]
% complement(one) join complement(converse(composition(A,complement(converse(A)))))
% -> top
% Current number of equations to process: 2567
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced :
% [311] complement(one) join complement(converse(complement(one))) -> top
% Current number of equations to process: 2623
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced : [312] one join complement(converse(zero)) -> top
% Current number of equations to process: 2631
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced : [313] composition(converse(zero),A) join A -> A
% Current number of equations to process: 2632
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced : [314] composition(A,converse(zero)) join A -> A
% Current number of equations to process: 2638
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [315]
% complement(one) join complement(converse(zero)) -> complement(converse(zero))
% Current number of equations to process: 2653
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced :
% [316] converse(complement(converse(composition(zero,A)))) join A -> top
% Current number of equations to process: 2654
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced : [317] complement(composition(zero,A)) join A -> top
% Current number of equations to process: 2655
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced :
% [318] converse(composition(zero,A)) join converse(A) -> converse(A)
% Current number of equations to process: 2665
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced : [319] one join composition(zero,converse(zero)) -> one
% Current number of equations to process: 2705
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced : [320] composition(zero,composition(zero,A)) join A -> A
% Current number of equations to process: 2704
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced : [321] complement(converse(complement(one))) -> one
% Rule [311] complement(one) join complement(converse(complement(one))) -> top
% collapsed.
% Current number of equations to process: 2724
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced :
% [322] composition(converse(complement(one)),A) join A -> composition(top,A)
% Current number of equations to process: 2721
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced :
% [323] composition(A,converse(complement(one))) join A -> composition(A,top)
% Current number of equations to process: 2720
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [324]
% complement(converse(complement(one)) join A) ->
% complement(complement(one) join A)
% Current number of equations to process: 2719
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [325] converse(composition(A,converse(zero))) join converse(A) -> converse(A)
% Current number of equations to process: 2718
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [326]
% complement(composition(zero,A)) join complement(A) ->
% complement(composition(zero,A))
% Current number of equations to process: 2717
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [327]
% complement(one join A) join complement(converse(zero)) ->
% complement(converse(zero))
% Current number of equations to process: 2716
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [328]
% complement(composition(zero,complement(A))) join A ->
% complement(composition(zero,complement(A)))
% Current number of equations to process: 2715
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced :
% [329] composition(converse(A),complement(composition(A,top))) -> zero
% Rule
% [158] composition(converse(B),complement(composition(B,top))) join A -> A
% collapsed.
% Rule
% [206]
% complement(composition(converse(A),complement(composition(A,top)))) -> top
% collapsed.
% Rule
% [285]
% converse(complement(converse(composition(converse(A),complement(composition(A,top))))))
% -> top collapsed.
% Rule
% [292]
% composition(converse(A),complement(composition(A,top))) <->
% composition(converse(B),complement(composition(B,top))) collapsed.
% Current number of equations to process: 2715
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced : [330] converse(complement(converse(zero))) -> top
% Rule [287] converse(complement(converse(zero))) join A -> top collapsed.
% Current number of equations to process: 2714
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced : [331] composition(zero,zero) -> zero
% Current number of equations to process: 2717
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [332] composition(zero,B) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 2717
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [333] composition(A,zero) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 2716
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced :
% [334]
% complement(composition(A,complement(converse(composition(top,top))))) -> top
% Current number of equations to process: 2715
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [335] composition(A,complement(converse(composition(top,top)))) -> zero
% Rule
% [334]
% complement(composition(A,complement(converse(composition(top,top))))) -> top
% collapsed.
% Current number of equations to process: 2748
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced : [336] complement(composition(A,zero)) -> top
% Rule
% [125]
% complement(composition(sk1,zero)) join complement(composition(sk1,top)) ->
% top collapsed.
% Rule
% [232]
% complement(composition(sk1,top) join complement(composition(sk1,zero))) ->
% composition(sk1,zero) collapsed.
% Rule
% [247]
% converse(complement(composition(sk1,zero))) join converse(complement(
% composition(sk1,top)))
% -> top collapsed.
% Rule
% [295]
% one join complement(composition(top,zero)) ->
% complement(composition(top,zero)) collapsed.
% Rule [308] complement(one) join complement(composition(A,zero)) -> top
% collapsed.
% Current number of equations to process: 2753
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced : [337] composition(sk1,zero) -> zero
% Rule
% [233]
% complement(composition(sk1,zero) join complement(composition(sk1,top))) ->
% composition(sk1,top) collapsed.
% Current number of equations to process: 2751
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [338]
% composition(complement(converse(composition(top,top))),complement(converse(zero)))
% -> zero
% Current number of equations to process: 2754
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [339]
% converse(composition(converse(B),A)) <->
% converse(zero) join composition(converse(A),B)
% Current number of equations to process: 2753
% Current number of ordered equations: 1
% Current number of rules: 248
% New rule produced :
% [340]
% converse(zero) join composition(converse(A),B) <->
% converse(composition(converse(B),A))
% Current number of equations to process: 2753
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced : [341] converse(A) join complement(converse(zero)) -> top
% Rule [286] converse(complement(A)) join complement(converse(zero)) -> top
% collapsed.
% Current number of equations to process: 2754
% Current number of ordered equations: 0
% Current number of rules: 249
% Rule [339]
% converse(composition(converse(B),A)) <->
% converse(zero) join composition(converse(A),B) is composed into
% [339] converse(composition(converse(B),A)) <-> composition(converse(A),B)
% New rule produced : [342] converse(zero) join A -> A
% Rule [193] one join converse(zero) -> one collapsed.
% Rule [204] converse(zero) join converse(A) -> converse(A) collapsed.
% Rule
% [340]
% converse(zero) join composition(converse(A),B) <->
% converse(composition(converse(B),A)) collapsed.
% Current number of equations to process: 2754
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [343]
% sk1 join complement(composition(sk1,complement(one))) ->
% complement(composition(sk1,complement(one)))
% Rule
% [231]
% complement(sk1 join complement(composition(sk1,complement(one)))) ->
% composition(sk1,complement(one)) collapsed.
% Current number of equations to process: 2785
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [344]
% composition(zero,complement(A join B)) join complement(B) -> complement(B)
% Current number of equations to process: 2784
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [345]
% composition(composition(zero,A),B) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 2790
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced :
% [346]
% composition(A,composition(zero,B)) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 2789
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [347]
% composition(composition(A,B),complement(converse(composition(top,B)))) ->
% composition(A,zero)
% Current number of equations to process: 2786
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced :
% [348]
% composition(B,composition(complement(converse(composition(top,B))),A)) ->
% composition(zero,A)
% Current number of equations to process: 2785
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [349]
% complement(converse(composition(converse(complement(converse(composition(top,top)))),A)))
% -> top
% Current number of equations to process: 2784
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced :
% [350]
% converse(complement(converse(composition(sk1,complement(one))))) join
% complement(sk1) -> top
% Current number of equations to process: 2783
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [351]
% converse(composition(sk1,complement(one))) join converse(complement(sk1)) ->
% converse(complement(sk1))
% Current number of equations to process: 2782
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [352]
% complement(A join B) join complement(composition(zero,A)) ->
% complement(composition(zero,A))
% Current number of equations to process: 2780
% Current number of ordered equations: 0
% Current number of rules: 256
% Rule [347]
% composition(composition(A,B),complement(converse(composition(top,B))))
% -> composition(A,zero) is composed into [347]
% composition(composition(A,B),
% complement(converse(composition(top,B))))
% -> zero
% New rule produced : [353] composition(A,zero) -> zero
% Rule
% [215] converse(composition(top,zero)) join complement(one) -> complement(one)
% collapsed.
% Rule
% [240]
% converse(composition(top,zero)) join converse(complement(one)) ->
% converse(complement(one)) collapsed.
% Rule
% [263] complement(one) join complement(converse(composition(top,zero))) -> top
% collapsed.
% Rule
% [271]
% converse(complement(converse(composition(top,zero)))) join complement(one) ->
% top collapsed.
% Rule
% [282]
% converse(complement(one)) join composition(top,zero) ->
% converse(complement(one)) collapsed.
% Rule [309] composition(A,zero) join complement(one) -> complement(one)
% collapsed.
% Rule [331] composition(zero,zero) -> zero collapsed.
% Rule [333] composition(A,zero) join composition(A,B) -> composition(A,B)
% collapsed.
% Rule [336] complement(composition(A,zero)) -> top collapsed.
% Rule [337] composition(sk1,zero) -> zero collapsed.
% Current number of equations to process: 2942
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced : [354] complement(converse(zero)) -> top
% Rule [312] one join complement(converse(zero)) -> top collapsed.
% Rule
% [315]
% complement(one) join complement(converse(zero)) -> complement(converse(zero))
% collapsed.
% Rule
% [327]
% complement(one join A) join complement(converse(zero)) ->
% complement(converse(zero)) collapsed.
% Rule [330] converse(complement(converse(zero))) -> top collapsed.
% Rule
% [338]
% composition(complement(converse(composition(top,top))),complement(converse(zero)))
% -> zero collapsed.
% Rule [341] converse(A) join complement(converse(zero)) -> top collapsed.
% Current number of equations to process: 2941
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced :
% [355] composition(complement(converse(composition(top,top))),top) -> zero
% Current number of equations to process: 2940
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced :
% [356]
% converse(composition(top,A)) join composition(top,top) ->
% composition(top,top)
% Current number of equations to process: 2944
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [357]
% converse(composition(converse(complement(converse(composition(top,top)))),A))
% -> zero
% Rule
% [349]
% complement(converse(composition(converse(complement(converse(composition(top,top)))),A)))
% -> top collapsed.
% Current number of equations to process: 3019
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [358]
% converse(composition(A,top)) join converse(composition(A,B)) ->
% converse(composition(A,top))
% Current number of equations to process: 3022
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [359]
% converse(composition(top,A)) join composition(converse(A),B) ->
% converse(composition(top,A))
% Current number of equations to process: 3021
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [360]
% converse(composition(A,converse(B))) join composition(B,top) ->
% composition(B,top)
% Rule
% [283]
% converse(composition(sk1,converse(A))) join composition(A,top) ->
% composition(A,top) collapsed.
% Current number of equations to process: 3040
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [361]
% converse(composition(top,A)) join converse(A) -> converse(composition(top,A))
% Current number of equations to process: 3114
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [362]
% converse(composition(top,top)) join complement(composition(A,converse(B))) ->
% top
% Current number of equations to process: 3124
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [363]
% converse(composition(top,top)) join composition(A,top) ->
% converse(composition(top,top))
% Current number of equations to process: 3125
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced :
% [364]
% converse(composition(A,top)) join converse(A) -> converse(composition(A,top))
% Current number of equations to process: 3204
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [365] converse(composition(top,top)) -> composition(top,top)
% Rule
% [304]
% converse(composition(top,top)) join complement(composition(A,top)) -> top
% collapsed.
% Rule [335] composition(A,complement(converse(composition(top,top)))) -> zero
% collapsed.
% Rule
% [355] composition(complement(converse(composition(top,top))),top) -> zero
% collapsed.
% Rule
% [357]
% converse(composition(converse(complement(converse(composition(top,top)))),A))
% -> zero collapsed.
% Rule
% [362]
% converse(composition(top,top)) join complement(composition(A,converse(B))) ->
% top collapsed.
% Rule
% [363]
% converse(composition(top,top)) join composition(A,top) ->
% converse(composition(top,top)) collapsed.
% Current number of equations to process: 3216
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [366] composition(A,complement(composition(top,top))) -> zero
% Rule [264] composition(top,complement(composition(top,top))) join A -> A
% collapsed.
% Current number of equations to process: 3215
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [367] composition(complement(composition(top,top)),top) -> zero
% Current number of equations to process: 3214
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [368]
% converse(composition(converse(complement(composition(top,top))),A)) -> zero
% Current number of equations to process: 3213
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [369] composition(top,top) join complement(composition(A,converse(B))) -> top
% Current number of equations to process: 3212
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [370]
% composition(top,top) join composition(A,converse(B)) -> composition(top,top)
% Current number of equations to process: 3212
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced :
% [371]
% converse(complement(one)) join composition(A,complement(converse(A))) ->
% converse(complement(one))
% Current number of equations to process: 3339
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [372]
% converse(complement(composition(A,complement(converse(A))))) join complement(one)
% -> top
% Current number of equations to process: 3338
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced :
% [373]
% converse(complement(one)) join complement(composition(converse(A),complement(A)))
% -> top
% Current number of equations to process: 3354
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced : [374] converse(complement(one)) -> complement(one)
% Rule
% [151]
% converse(composition(converse(A),complement(A))) join converse(complement(one))
% -> converse(complement(one)) collapsed.
% Rule [195] one join converse(complement(one)) -> top collapsed.
% Rule
% [217]
% converse(complement(one)) join composition(converse(A),complement(A)) ->
% converse(complement(one)) collapsed.
% Rule
% [248]
% converse(composition(A,complement(converse(A)))) join converse(complement(one))
% -> converse(complement(one)) collapsed.
% Rule
% [250]
% converse(complement(one)) join converse(complement(composition(converse(A),
% complement(A)))) -> top
% collapsed.
% Rule
% [259]
% converse(complement(one)) join complement(converse(composition(converse(A),
% complement(A)))) -> top
% collapsed.
% Rule [288] converse(complement(one)) join complement(one) -> complement(one)
% collapsed.
% Rule [321] complement(converse(complement(one))) -> one collapsed.
% Rule
% [322] composition(converse(complement(one)),A) join A -> composition(top,A)
% collapsed.
% Rule
% [323] composition(A,converse(complement(one))) join A -> composition(A,top)
% collapsed.
% Rule
% [324]
% complement(converse(complement(one)) join A) ->
% complement(complement(one) join A) collapsed.
% Rule
% [371]
% converse(complement(one)) join composition(A,complement(converse(A))) ->
% converse(complement(one)) collapsed.
% Rule
% [373]
% converse(complement(one)) join complement(composition(converse(A),complement(A)))
% -> top collapsed.
% Current number of equations to process: 3430
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [375] composition(A,complement(one)) join A -> composition(A,top)
% Current number of equations to process: 3428
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced :
% [376]
% 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: 3429
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced :
% [377] composition(top,top) join complement(composition(A,B)) -> top
% Rule
% [369] composition(top,top) join complement(composition(A,converse(B))) -> top
% collapsed.
% Current number of equations to process: 3512
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced :
% [378]
% composition(top,top) join complement(converse(composition(converse(A),B))) ->
% top
% Current number of equations to process: 3518
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced :
% [379]
% composition(converse(A),A) join complement(one) ->
% converse(composition(top,A)) join complement(one)
% Current number of equations to process: 3516
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced :
% [380] composition(A,top) join complement(composition(A,B)) -> top
% Current number of equations to process: 3529
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [381] composition(top,top) join composition(A,B) -> composition(top,top)
% Rule
% [370]
% composition(top,top) join composition(A,converse(B)) -> composition(top,top)
% collapsed.
% Current number of equations to process: 3670
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [382]
% composition(A,converse(A)) join complement(one) ->
% composition(A,top) join complement(one)
% Current number of equations to process: 3683
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [383] composition(zero,complement(A)) join A -> composition(zero,top) join A
% Current number of equations to process: 3734
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [384]
% composition(zero,A) join complement(A) <->
% composition(zero,top) join complement(A)
% Current number of equations to process: 3733
% Current number of ordered equations: 1
% Current number of rules: 247
% New rule produced :
% [385]
% composition(zero,top) join complement(A) <->
% composition(zero,A) join complement(A)
% Current number of equations to process: 3733
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced : [386] composition(top,top) -> top
% Rule
% [307]
% composition(top,top) join complement(converse(composition(top,A))) -> top
% collapsed.
% Rule
% [356]
% converse(composition(top,A)) join composition(top,top) ->
% composition(top,top) collapsed.
% Rule [365] converse(composition(top,top)) -> composition(top,top) collapsed.
% Rule [366] composition(A,complement(composition(top,top))) -> zero collapsed.
% Rule [367] composition(complement(composition(top,top)),top) -> zero
% collapsed.
% Rule
% [368]
% converse(composition(converse(complement(composition(top,top))),A)) -> zero
% collapsed.
% Rule [377] composition(top,top) join complement(composition(A,B)) -> top
% collapsed.
% Rule
% [378]
% composition(top,top) join complement(converse(composition(converse(A),B))) ->
% top collapsed.
% Rule [381] composition(top,top) join composition(A,B) -> composition(top,top)
% collapsed.
% Current number of equations to process: 3746
% Current number of ordered equations: 0
% Current number of rules: 240
% Rule [384]
% composition(zero,A) join complement(A) <->
% composition(zero,top) join complement(A) is composed into [384]
% composition(zero,A) join
% complement(A)
% ->
% zero join
% complement(A)
% Rule [383]
% composition(zero,complement(A)) join A -> composition(zero,top) join A is composed into
% [383] composition(zero,complement(A)) join A -> zero join A
% New rule produced : [387] composition(zero,top) -> zero
% Rule
% [385]
% composition(zero,top) join complement(A) <->
% composition(zero,A) join complement(A) collapsed.
% Current number of equations to process: 3745
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced : [388] converse(composition(converse(zero),A)) -> zero
% Current number of equations to process: 3743
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced : [389] composition(A,top) join A -> composition(A,top)
% Current number of equations to process: 3752
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced : [390] complement(complement(A) join B) join A -> A
% Rule
% [223] complement(complement(complement(A) join B) join A) -> complement(A)
% collapsed.
% Current number of equations to process: 3852
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced :
% [391]
% composition(composition(A,B),C) join composition(A,top) -> composition(A,top)
% Current number of equations to process: 3847
% Current number of ordered equations: 1
% Current number of rules: 243
% New rule produced :
% [392]
% composition(zero,composition(A,B)) join composition(A,top) ->
% composition(A,top)
% Current number of equations to process: 3847
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [393] converse(A) join complement(converse(complement(A))) -> converse(A)
% Rule
% [224]
% complement(converse(A) join complement(converse(complement(A)))) ->
% complement(converse(A)) collapsed.
% Current number of equations to process: 3848
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [394]
% converse(complement(A)) join complement(converse(A)) ->
% converse(complement(A))
% Rule
% [225]
% complement(converse(complement(A)) join complement(converse(A))) ->
% complement(converse(complement(A))) collapsed.
% Current number of equations to process: 3849
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [395] complement(converse(complement(converse(A)))) join A -> A
% Rule
% [228]
% complement(complement(converse(complement(converse(A)))) join A) ->
% complement(A) collapsed.
% Current number of equations to process: 3908
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [396]
% converse(complement(converse(A))) join complement(A) ->
% converse(complement(converse(A)))
% Rule
% [229]
% complement(converse(complement(converse(A))) join complement(A)) ->
% complement(converse(complement(converse(A)))) collapsed.
% Current number of equations to process: 3907
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [397] complement(converse(complement(converse(A))) join B) join A -> A
% Rule
% [236]
% complement(complement(converse(complement(converse(A))) join B) join A) ->
% complement(A) collapsed.
% Current number of equations to process: 3906
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [398]
% 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: 4201
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [399] complement(composition(zero,B) join A) join B -> complement(A) join B
% Current number of equations to process: 4199
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [400]
% converse(complement(A)) join complement(converse(A) join B) ->
% converse(complement(A))
% Current number of equations to process: 4212
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [401]
% complement(composition(A,top)) join complement(composition(A,B)) ->
% complement(composition(A,B))
% Current number of equations to process: 4211
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [402]
% composition(sk1,complement(A)) join complement(composition(sk1,A)) ->
% complement(composition(sk1,A))
% Rule
% [256]
% complement(composition(sk1,complement(A)) join complement(composition(sk1,A)))
% -> composition(sk1,A) collapsed.
% Current number of equations to process: 4210
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [403]
% converse(complement(converse(A))) join complement(A join B) ->
% converse(complement(converse(A)))
% Current number of equations to process: 4209
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [404]
% converse(complement(A join B)) join converse(B) ->
% converse(complement(A)) join converse(B)
% Rule
% [55] converse(complement(A join B)) join converse(A) join converse(B) -> top
% collapsed.
% Rule
% [153]
% complement(converse(complement(A join A)) join converse(A)) ->
% complement(top) collapsed.
% Rule [293] one join converse(complement(one join A)) join converse(A) -> top
% collapsed.
% Current number of equations to process: 4208
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [405]
% one join converse(complement(converse(complement(complement(one) join A))))
% -> top
% Current number of equations to process: 4231
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [406]
% converse(complement(converse(complement(complement(A) join B)))) join A ->
% top
% Rule
% [405]
% one join converse(complement(converse(complement(complement(one) join A))))
% -> top collapsed.
% Current number of equations to process: 4247
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [407]
% converse(complement(A)) join complement(converse(complement(A join B))) ->
% top
% Current number of equations to process: 4246
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [408]
% converse(complement(converse(complement(A)))) join complement(composition(zero,A))
% -> top
% Current number of equations to process: 4344
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced :
% [409]
% converse(complement(converse(sk1))) join complement(composition(sk1,complement(one)))
% -> top
% Current number of equations to process: 4343
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [410]
% converse(complement(A join B)) join converse(complement(A)) ->
% converse(complement(A))
% Current number of equations to process: 4602
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced :
% [411]
% converse(complement(converse(complement(A)))) join A ->
% converse(complement(converse(complement(A))))
% Rule
% [235]
% complement(converse(complement(converse(complement(A)))) join A) ->
% complement(converse(complement(converse(complement(A))))) collapsed.
% Current number of equations to process: 4602
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced :
% [412] complement(composition(top,A)) join complement(A) -> complement(A)
% Current number of equations to process: 4821
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [413] one join converse(complement(one join converse(A))) join A -> top
% Current number of equations to process: 4989
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced :
% [414]
% converse(complement(composition(A,converse(zero)))) join converse(A) -> top
% Current number of equations to process: 3313
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [415]
% complement(composition(top,complement(composition(top,complement(A))))) join A
% -> top
% Current number of equations to process: 3932
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [416]
% converse(composition(composition(A,top),top)) -> converse(composition(A,top))
% Current number of equations to process: 1361
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [417] composition(composition(A,top),top) -> composition(A,top)
% Rule
% [416]
% converse(composition(composition(A,top),top)) -> converse(composition(A,top))
% collapsed.
% Current number of equations to process: 1410
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [418] composition(top,composition(top,A)) -> composition(top,A)
% Current number of equations to process: 1635
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced :
% [419] composition(B,complement(composition(top,complement(A)))) join A -> A
% Rule
% [272] composition(top,complement(composition(top,complement(A)))) join A -> A
% collapsed.
% Current number of equations to process: 1920
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced :
% [420]
% composition(B,complement(composition(top,A))) join complement(A) ->
% complement(A)
% Rule
% [273]
% composition(top,complement(composition(top,A))) join complement(A) ->
% complement(A) collapsed.
% Current number of equations to process: 1947
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced :
% [421]
% converse(composition(top,A)) join composition(complement(converse(A)),top) ->
% top
% Current number of equations to process: 2071
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced :
% [422]
% complement(composition(A,complement(composition(top,complement(B))))) join B
% -> top
% Rule
% [415]
% complement(composition(top,complement(composition(top,complement(A))))) join A
% -> top collapsed.
% Current number of equations to process: 2070
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced :
% [423]
% 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: 2069
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced : [424] composition(top,complement(A)) join A -> top
% Current number of equations to process: 3094
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [425]
% composition(top,composition(complement(one),top)) ->
% composition(complement(one),top)
% Current number of equations to process: 3284
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced :
% [426] converse(composition(A,top)) join converse(complement(A)) -> top
% Current number of equations to process: 3329
% Current number of ordered equations: 1
% Current number of rules: 261
% New rule produced :
% [427] converse(composition(complement(A),top)) join converse(A) -> top
% Current number of equations to process: 3329
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced :
% [428]
% composition(top,composition(complement(one),A)) join A -> composition(top,A)
% Current number of equations to process: 3540
% Current number of ordered equations: 0
% Current number of rules: 263
% New rule produced :
% [429]
% complement(composition(top,A) join B) join complement(A) -> complement(A)
% Current number of equations to process: 3539
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced :
% [430]
% converse(composition(complement(one),A)) join converse(A) ->
% converse(composition(top,A))
% Current number of equations to process: 3538
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced :
% [431]
% converse(composition(A,complement(one))) join converse(A) ->
% converse(composition(A,top))
% Current number of equations to process: 3537
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced :
% [432]
% complement(composition(complement(one),A)) join A ->
% complement(composition(top,A)) join A
% Current number of equations to process: 3536
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [433]
% composition(composition(top,A),B) join complement(composition(A,B)) -> top
% Current number of equations to process: 3534
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced :
% [434]
% composition(top,A) join complement(complement(A) join B) ->
% composition(top,A)
% Current number of equations to process: 3532
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [435]
% composition(top,complement(composition(A,B))) join composition(top,B) -> top
% Current number of equations to process: 3531
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [436]
% composition(top,complement(sk1)) join complement(composition(sk1,complement(one)))
% -> top
% Current number of equations to process: 3529
% Current number of ordered equations: 1
% Current number of rules: 271
% New rule produced :
% [437]
% converse(complement(converse(complement(composition(top,A))))) join complement(A)
% -> top
% Current number of equations to process: 3528
% Current number of ordered equations: 1
% Current number of rules: 272
% New rule produced :
% [438]
% composition(top,complement(composition(sk1,complement(one)))) join complement(sk1)
% -> top
% Current number of equations to process: 3524
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [439]
% converse(composition(top,A)) join complement(composition(converse(A),B)) ->
% top
% Current number of equations to process: 3553
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced :
% [440]
% composition(sk1,complement(one)) join composition(top,complement(sk1)) ->
% composition(top,complement(sk1))
% Current number of equations to process: 3647
% Current number of ordered equations: 0
% Current number of rules: 275
% New rule produced :
% [441]
% composition(top,A) join complement(A join B) ->
% composition(top,A) join complement(B)
% Current number of equations to process: 3646
% Current number of ordered equations: 0
% Current number of rules: 276
% New rule produced :
% [442]
% composition(top,complement(A)) join complement(A join B) ->
% composition(top,complement(A))
% Current number of equations to process: 3645
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced :
% [443]
% composition(top,A) join composition(complement(one),top) ->
% composition(complement(one),top) join A
% Current number of equations to process: 3643
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced :
% [444]
% composition(top,complement(converse(composition(top,complement(one))))) ->
% complement(converse(composition(top,complement(one))))
% Current number of equations to process: 3642
% Current number of ordered equations: 0
% Current number of rules: 279
% New rule produced :
% [445]
% composition(A,top) join complement(converse(composition(B,converse(A)))) ->
% top
% Current number of equations to process: 3740
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced :
% [446] converse(composition(top,A)) join complement(converse(A)) -> top
% Current number of equations to process: 3797
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced :
% [447]
% composition(top,A) join complement(converse(complement(converse(A)))) ->
% composition(top,A)
% Current number of equations to process: 4007
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced :
% [448] converse(complement(converse(A))) join composition(A,top) -> top
% Current number of equations to process: 4014
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced :
% [449] converse(composition(top,complement(A))) join converse(A) -> top
% Current number of equations to process: 4246
% Current number of ordered equations: 0
% Current number of rules: 284
% New rule produced :
% [450]
% converse(complement(A)) join complement(converse(composition(top,A))) ->
% converse(complement(A))
% Current number of equations to process: 4294
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced :
% [451]
% converse(composition(top,A)) join converse(composition(complement(A),top)) ->
% top
% Current number of equations to process: 4293
% Current number of ordered equations: 0
% Current number of rules: 286
% New rule produced :
% [452]
% complement(converse(composition(A,top))) join complement(converse(A)) ->
% complement(converse(A))
% Current number of equations to process: 4458
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [453]
% converse(composition(A,top)) join composition(top,complement(converse(A))) ->
% top
% Current number of equations to process: 4457
% Current number of ordered equations: 0
% Current number of rules: 288
% New rule produced :
% [454] complement(composition(converse(zero),A)) join A -> top
% Current number of equations to process: 4566
% Current number of ordered equations: 0
% Current number of rules: 289
% New rule produced :
% [455] composition(converse(zero),composition(zero,A)) join A -> A
% Current number of equations to process: 4605
% Current number of ordered equations: 1
% Current number of rules: 290
% New rule produced :
% [456] composition(zero,composition(converse(zero),A)) join A -> A
% Current number of equations to process: 4605
% Current number of ordered equations: 0
% Current number of rules: 291
% New rule produced :
% [457] composition(converse(zero),complement(A)) join A -> A
% Current number of equations to process: 4617
% Current number of ordered equations: 0
% Current number of rules: 292
% New rule produced :
% [458] composition(converse(zero),A) join complement(A) -> complement(A)
% Current number of equations to process: 4616
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced : [459] composition(zero,converse(zero)) -> zero
% Rule [319] one join composition(zero,converse(zero)) -> one collapsed.
% Current number of equations to process: 4656
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced :
% [460] complement(composition(A,converse(zero))) join A -> top
% Current number of equations to process: 4676
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced : [461] converse(composition(zero,converse(A))) join A -> A
% Current number of equations to process: 4684
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced :
% [462] composition(composition(zero,A),converse(zero)) join A -> A
% Current number of equations to process: 4738
% Current number of ordered equations: 0
% Current number of rules: 296
% New rule produced :
% [463] converse(complement(composition(zero,converse(A)))) join A -> top
% Current number of equations to process: 4766
% Current number of ordered equations: 0
% Current number of rules: 297
% New rule produced :
% [464]
% converse(composition(zero,converse(sk1))) join complement(one) ->
% complement(one)
% Current number of equations to process: 4790
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [465] composition(converse(zero),A) join composition(B,A) -> composition(B,A)
% Current number of equations to process: 4788
% Current number of ordered equations: 0
% Current number of rules: 299
% New rule produced :
% [466] composition(complement(one),composition(converse(zero),A)) join A -> A
% Current number of equations to process: 4787
% Current number of ordered equations: 0
% Current number of rules: 300
% New rule produced :
% [467]
% converse(complement(converse(composition(A,converse(zero))))) join A -> top
% Current number of equations to process: 4786
% Current number of ordered equations: 0
% Current number of rules: 301
% New rule produced :
% [468]
% composition(top,A) join composition(A,converse(zero)) -> composition(top,A)
% Current number of equations to process: 4784
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced :
% [469] composition(composition(converse(zero),A),converse(zero)) join A -> A
% Current number of equations to process: 4782
% Current number of ordered equations: 1
% Current number of rules: 303
% New rule produced :
% [470] composition(converse(zero),composition(A,converse(zero))) join A -> A
% Current number of equations to process: 4782
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced :
% [471] converse(A) join complement(converse(composition(zero,A))) -> top
% Current number of equations to process: 4790
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced :
% [472]
% complement(converse(complement(converse(composition(zero,A))))) join A -> A
% Current number of equations to process: 4853
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced :
% [473] complement(converse(composition(zero,converse(A)))) join A -> top
% Current number of equations to process: 4856
% Current number of ordered equations: 0
% Current number of rules: 307
% New rule produced :
% [474] converse(complement(composition(zero,A))) join converse(A) -> top
% Current number of equations to process: 4877
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [475] complement(composition(zero,composition(zero,A))) join A -> top
% Current number of equations to process: 4895
% Current number of ordered equations: 0
% Current number of rules: 309
% New rule produced :
% [476] composition(top,complement(composition(zero,A))) join A -> top
% Current number of equations to process: 4910
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced :
% [477]
% converse(A) join complement(converse(composition(A,converse(zero)))) -> top
% Current number of equations to process: 4949
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced :
% [478] complement(complement(composition(zero,A)) join B) join A -> A
% Current number of equations to process: 4948
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [479]
% complement(composition(zero,composition(converse(zero),A))) join A -> top
% Current number of equations to process: 4947
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [480] composition(zero,complement(composition(zero,A))) join A -> A
% Current number of equations to process: 655
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [481]
% converse(composition(zero,composition(zero,A))) join converse(A) ->
% converse(A)
% Current number of equations to process: 736
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced : [482] composition(converse(zero),A) -> converse(zero)
% Rule [313] composition(converse(zero),A) join A -> A collapsed.
% Rule [388] converse(composition(converse(zero),A)) -> zero collapsed.
% Rule [454] complement(composition(converse(zero),A)) join A -> top collapsed.
% Rule [455] composition(converse(zero),composition(zero,A)) join A -> A
% collapsed.
% Rule [456] composition(zero,composition(converse(zero),A)) join A -> A
% collapsed.
% Rule [457] composition(converse(zero),complement(A)) join A -> A collapsed.
% Rule [458] composition(converse(zero),A) join complement(A) -> complement(A)
% collapsed.
% Rule
% [465] composition(converse(zero),A) join composition(B,A) -> composition(B,A)
% collapsed.
% Rule
% [466] composition(complement(one),composition(converse(zero),A)) join A -> A
% collapsed.
% Rule
% [469] composition(composition(converse(zero),A),converse(zero)) join A -> A
% collapsed.
% Rule
% [470] composition(converse(zero),composition(A,converse(zero))) join A -> A
% collapsed.
% Rule
% [479]
% complement(composition(zero,composition(converse(zero),A))) join A -> top
% collapsed.
% Current number of equations to process: 1528
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced :
% [483] composition(complement(one),converse(zero)) join A -> A
% Current number of equations to process: 1527
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced :
% [484]
% composition(converse(A),composition(A,top)) -> converse(composition(top,A))
% Current number of equations to process: 1533
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced :
% [485] composition(zero,A) join composition(B,top) -> composition(B,top)
% Rule
% [392]
% composition(zero,composition(A,B)) join composition(A,top) ->
% composition(A,top) collapsed.
% Current number of equations to process: 1539
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced :
% [486]
% composition(composition(A,converse(B)),complement(composition(B,top))) ->
% zero
% Current number of equations to process: 1538
% Current number of ordered equations: 0
% Current number of rules: 307
% New rule produced :
% [487]
% composition(converse(composition(A,B)),complement(composition(A,top))) ->
% zero
% Current number of equations to process: 1537
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [488] composition(complement(composition(complement(A),top)),top) join A -> A
% Current number of equations to process: 1536
% Current number of ordered equations: 0
% Current number of rules: 309
% New rule produced :
% [489] composition(zero,complement(A)) join complement(one) -> complement(one)
% Current number of equations to process: 1550
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced :
% [490] composition(A,B) join complement(composition(zero,B)) -> top
% Current number of equations to process: 1557
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced :
% [491] composition(zero,complement(composition(A,complement(B)))) join B -> B
% Current number of equations to process: 1645
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [492] composition(zero,complement(converse(composition(top,A)))) -> zero
% Current number of equations to process: 1670
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [493]
% composition(zero,complement(one)) join complement(sk1) -> complement(sk1)
% Current number of equations to process: 1671
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [494]
% composition(zero,complement(B)) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 1691
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced :
% [495] composition(zero,complement(composition(A,top))) -> zero
% Current number of equations to process: 1743
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced :
% [496]
% composition(converse(complement(composition(A,top))),composition(A,B)) ->
% converse(zero)
% Current number of equations to process: 1747
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced :
% [497]
% composition(zero,complement(composition(A,B))) join complement(B) ->
% complement(B)
% Current number of equations to process: 1746
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced :
% [498]
% composition(zero,B) join composition(A,complement(B)) ->
% composition(A,complement(B))
% Current number of equations to process: 1745
% Current number of ordered equations: 0
% Current number of rules: 319
% Rule [496]
% composition(converse(complement(composition(A,top))),composition(A,B))
% -> converse(zero) is composed into [496]
% composition(converse(complement(
% composition(A,top))),
% composition(A,B)) -> zero
% New rule produced : [499] converse(zero) -> zero
% Rule [314] composition(A,converse(zero)) join A -> A collapsed.
% Rule
% [325] converse(composition(A,converse(zero))) join converse(A) -> converse(A)
% collapsed.
% Rule [342] converse(zero) join A -> A collapsed.
% Rule [354] complement(converse(zero)) -> top collapsed.
% Rule
% [414]
% converse(complement(composition(A,converse(zero)))) join converse(A) -> top
% collapsed.
% Rule [459] composition(zero,converse(zero)) -> zero collapsed.
% Rule [460] complement(composition(A,converse(zero))) join A -> top collapsed.
% Rule [462] composition(composition(zero,A),converse(zero)) join A -> A
% collapsed.
% Rule
% [467]
% converse(complement(converse(composition(A,converse(zero))))) join A -> top
% collapsed.
% Rule
% [468]
% composition(top,A) join composition(A,converse(zero)) -> composition(top,A)
% collapsed.
% Rule
% [477]
% converse(A) join complement(converse(composition(A,converse(zero)))) -> top
% collapsed.
% Rule [482] composition(converse(zero),A) -> converse(zero) collapsed.
% Rule [483] composition(complement(one),converse(zero)) join A -> A collapsed.
% Current number of equations to process: 1899
% Current number of ordered equations: 0
% Current number of rules: 307
% Rule [348]
% composition(B,composition(complement(converse(composition(top,B))),A))
% -> composition(zero,A) is composed into [348]
% composition(B,composition(
% complement(
% converse(composition(top,B))),A))
% -> zero
% New rule produced : [500] composition(zero,A) -> zero
% Rule [194] composition(zero,A) join A -> A collapsed.
% Rule [316] converse(complement(converse(composition(zero,A)))) join A -> top
% collapsed.
% Rule [317] complement(composition(zero,A)) join A -> top collapsed.
% Rule [318] converse(composition(zero,A)) join converse(A) -> converse(A)
% collapsed.
% Rule [320] composition(zero,composition(zero,A)) join A -> A collapsed.
% Rule
% [326]
% complement(composition(zero,A)) join complement(A) ->
% complement(composition(zero,A)) collapsed.
% Rule
% [328]
% complement(composition(zero,complement(A))) join A ->
% complement(composition(zero,complement(A))) collapsed.
% Rule [332] composition(zero,B) join composition(A,B) -> composition(A,B)
% collapsed.
% Rule
% [344]
% composition(zero,complement(A join B)) join complement(B) -> complement(B)
% collapsed.
% Rule
% [345]
% composition(composition(zero,A),B) join composition(A,B) -> composition(A,B)
% collapsed.
% Rule
% [346]
% composition(A,composition(zero,B)) join composition(A,B) -> composition(A,B)
% collapsed.
% Rule
% [352]
% complement(A join B) join complement(composition(zero,A)) ->
% complement(composition(zero,A)) collapsed.
% Rule [383] composition(zero,complement(A)) join A -> zero join A collapsed.
% Rule [384] composition(zero,A) join complement(A) -> zero join complement(A)
% collapsed.
% Rule [387] composition(zero,top) -> zero collapsed.
% Rule
% [399] complement(composition(zero,B) join A) join B -> complement(A) join B
% collapsed.
% Rule
% [408]
% converse(complement(converse(complement(A)))) join complement(composition(zero,A))
% -> top collapsed.
% Rule [461] converse(composition(zero,converse(A))) join A -> A collapsed.
% Rule [463] converse(complement(composition(zero,converse(A)))) join A -> top
% collapsed.
% Rule
% [464]
% converse(composition(zero,converse(sk1))) join complement(one) ->
% complement(one) collapsed.
% Rule [471] converse(A) join complement(converse(composition(zero,A))) -> top
% collapsed.
% Rule
% [472]
% complement(converse(complement(converse(composition(zero,A))))) join A -> A
% collapsed.
% Rule [473] complement(converse(composition(zero,converse(A)))) join A -> top
% collapsed.
% Rule [474] converse(complement(composition(zero,A))) join converse(A) -> top
% collapsed.
% Rule [475] complement(composition(zero,composition(zero,A))) join A -> top
% collapsed.
% Rule [476] composition(top,complement(composition(zero,A))) join A -> top
% collapsed.
% Rule [478] complement(complement(composition(zero,A)) join B) join A -> A
% collapsed.
% Rule [480] composition(zero,complement(composition(zero,A))) join A -> A
% collapsed.
% Rule
% [481]
% converse(composition(zero,composition(zero,A))) join converse(A) ->
% converse(A) collapsed.
% Rule [485] composition(zero,A) join composition(B,top) -> composition(B,top)
% collapsed.
% Rule
% [489] composition(zero,complement(A)) join complement(one) -> complement(one)
% collapsed.
% Rule [490] composition(A,B) join complement(composition(zero,B)) -> top
% collapsed.
% Rule
% [491] composition(zero,complement(composition(A,complement(B)))) join B -> B
% collapsed.
% Rule [492] composition(zero,complement(converse(composition(top,A)))) -> zero
% collapsed.
% Rule
% [493]
% composition(zero,complement(one)) join complement(sk1) -> complement(sk1)
% collapsed.
% Rule
% [494]
% composition(zero,complement(B)) join composition(A,B) -> composition(A,B)
% collapsed.
% Rule [495] composition(zero,complement(composition(A,top))) -> zero
% collapsed.
% Rule
% [497]
% composition(zero,complement(composition(A,B))) join complement(B) ->
% complement(B) collapsed.
% Rule
% [498]
% composition(zero,B) join composition(A,complement(B)) ->
% composition(A,complement(B)) collapsed.
% Current number of equations to process: 1898
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [501]
% composition(sk1,complement(one)) join complement(composition(sk1,top)) ->
% complement(sk1)
% Current number of equations to process: 1926
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [502]
% composition(converse(B),composition(complement(composition(B,top)),A)) ->
% zero
% Current number of equations to process: 1930
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced :
% [503]
% composition(composition(A,B),converse(composition(top,B))) ->
% composition(composition(A,B),top)
% Current number of equations to process: 1986
% Current number of ordered equations: 0
% Current number of rules: 272
% New rule produced :
% [504]
% composition(composition(A,top),complement(composition(composition(top,A),top)))
% -> zero
% Current number of equations to process: 2034
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [505]
% converse(complement(sk1)) join complement(converse(composition(sk1,complement(one))))
% -> top
% Current number of equations to process: 2039
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced :
% [506]
% converse(complement(converse(A))) join complement(composition(top,A)) ->
% converse(complement(converse(A)))
% Current number of equations to process: 2127
% Current number of ordered equations: 0
% Current number of rules: 275
% New rule produced :
% [507]
% converse(composition(top,A)) join complement(converse(complement(A))) ->
% converse(composition(top,A))
% Current number of equations to process: 2126
% Current number of ordered equations: 0
% Current number of rules: 276
% New rule produced :
% [508] converse(composition(top,complement(converse(A)))) join A -> top
% Current number of equations to process: 2465
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced :
% [509] converse(composition(complement(converse(A)),top)) join A -> top
% Current number of equations to process: 2594
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced :
% [510]
% complement(converse(composition(top,A))) join complement(converse(A)) ->
% complement(converse(A))
% Current number of equations to process: 2701
% Current number of ordered equations: 0
% Current number of rules: 279
% New rule produced :
% [511]
% converse(composition(top,complement(converse(A)))) join composition(top,A) ->
% top
% Current number of equations to process: 2700
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced :
% [512]
% converse(composition(top,complement(A))) join converse(composition(top,A)) ->
% top
% Current number of equations to process: 2699
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced :
% [513]
% converse(composition(top,composition(A,top))) join complement(converse(A)) ->
% top
% Current number of equations to process: 2698
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced :
% [514]
% converse(composition(complement(converse(A)),top)) join composition(top,A) ->
% top
% Current number of equations to process: 2696
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced :
% [515]
% converse(composition(composition(top,A),top)) join converse(complement(A)) ->
% top
% Current number of equations to process: 2695
% Current number of ordered equations: 0
% Current number of rules: 284
% New rule produced :
% [516]
% converse(composition(top,complement(one))) ->
% composition(complement(one),top)
% Rule
% [444]
% composition(top,complement(converse(composition(top,complement(one))))) ->
% complement(converse(composition(top,complement(one)))) collapsed.
% Current number of equations to process: 2805
% Current number of ordered equations: 0
% Current number of rules: 284
% New rule produced :
% [517]
% composition(converse(A),complement(one)) ->
% converse(composition(complement(one),A))
% Current number of equations to process: 2804
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced :
% [518]
% composition(complement(one),converse(A)) ->
% converse(composition(A,complement(one)))
% Current number of equations to process: 2852
% Current number of ordered equations: 0
% Current number of rules: 286
% New rule produced :
% [519] one join converse(composition(complement(one),top)) -> top
% Current number of equations to process: 2890
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [520]
% composition(complement(one),complement(composition(complement(one),top))) ->
% zero
% Current number of equations to process: 2888
% Current number of ordered equations: 0
% Current number of rules: 288
% New rule produced :
% [521] composition(top,complement(one)) <-> composition(complement(one),top)
% Current number of equations to process: 2901
% Current number of ordered equations: 1
% Current number of rules: 289
% New rule produced :
% [522] composition(complement(one),top) <-> composition(top,complement(one))
% Current number of equations to process: 2901
% Current number of ordered equations: 0
% Current number of rules: 290
% New rule produced : [523] composition(sk1,top) join complement(sk1) -> top
% Current number of equations to process: 2915
% Current number of ordered equations: 0
% Current number of rules: 291
% New rule produced : [524] composition(complement(A),top) join A -> top
% Current number of equations to process: 2970
% Current number of ordered equations: 1
% Current number of rules: 292
% New rule produced : [525] composition(A,top) join complement(A) -> top
% Rule [523] composition(sk1,top) join complement(sk1) -> top collapsed.
% Current number of equations to process: 2970
% Current number of ordered equations: 0
% Current number of rules: 292
% New rule produced :
% [526]
% composition(composition(top,complement(one)),top) ->
% composition(top,complement(one))
% Current number of equations to process: 3006
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced :
% [527] complement(composition(A,top)) join complement(A) -> complement(A)
% Current number of equations to process: 3120
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced :
% [528] composition(top,A) join composition(complement(A),top) -> top
% Current number of equations to process: 3178
% Current number of ordered equations: 1
% Current number of rules: 295
% New rule produced :
% [529] composition(composition(top,A),top) join complement(A) -> top
% Current number of equations to process: 3178
% Current number of ordered equations: 0
% Current number of rules: 296
% New rule produced :
% [530]
% composition(top,complement(composition(complement(one),top))) ->
% complement(composition(complement(one),top))
% Current number of equations to process: 3195
% Current number of ordered equations: 0
% Current number of rules: 297
% New rule produced :
% [531]
% composition(composition(A,complement(one)),top) join A -> composition(A,top)
% Current number of equations to process: 3193
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [532]
% composition(composition(top,A),top) join A ->
% composition(composition(top,A),top)
% Current number of equations to process: 3192
% Current number of ordered equations: 0
% Current number of rules: 299
% New rule produced :
% [533]
% composition(A,converse(composition(complement(one),top))) <->
% composition(composition(A,top),complement(one))
% Current number of equations to process: 3191
% Current number of ordered equations: 1
% Current number of rules: 300
% New rule produced :
% [534]
% composition(composition(A,top),complement(one)) <->
% composition(A,converse(composition(complement(one),top)))
% Current number of equations to process: 3191
% Current number of ordered equations: 0
% Current number of rules: 301
% New rule produced :
% [535]
% composition(converse(composition(complement(one),top)),A) <->
% composition(top,composition(complement(one),A))
% Current number of equations to process: 3190
% Current number of ordered equations: 1
% Current number of rules: 302
% New rule produced :
% [536]
% composition(top,composition(complement(one),A)) <->
% composition(converse(composition(complement(one),top)),A)
% Current number of equations to process: 3190
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced :
% [537]
% complement(composition(A,complement(one))) join A ->
% complement(composition(A,top)) join A
% Rule
% [343]
% sk1 join complement(composition(sk1,complement(one))) ->
% complement(composition(sk1,complement(one))) collapsed.
% Current number of equations to process: 3190
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced :
% [538]
% complement(composition(sk1,complement(one))) ->
% sk1 join complement(composition(sk1,top))
% Rule
% [97] complement(sk1) join complement(composition(sk1,complement(one))) -> top
% collapsed.
% Rule
% [177]
% converse(complement(sk1)) join converse(complement(composition(sk1,complement(one))))
% -> top collapsed.
% Rule
% [409]
% converse(complement(converse(sk1))) join complement(composition(sk1,complement(one)))
% -> top collapsed.
% Rule
% [436]
% composition(top,complement(sk1)) join complement(composition(sk1,complement(one)))
% -> top collapsed.
% Rule
% [438]
% composition(top,complement(composition(sk1,complement(one)))) join complement(sk1)
% -> top collapsed.
% Current number of equations to process: 3189
% Current number of ordered equations: 0
% Current number of rules: 299
% New rule produced :
% [539]
% complement(composition(A,top) join B) join complement(A) -> complement(A)
% Current number of equations to process: 3188
% Current number of ordered equations: 0
% Current number of rules: 300
% New rule produced :
% [540]
% composition(A,converse(composition(B,complement(one)))) <->
% composition(composition(A,complement(one)),converse(B))
% Current number of equations to process: 3184
% Current number of ordered equations: 5
% Current number of rules: 301
% New rule produced :
% [541]
% composition(A,converse(composition(complement(one),B))) <->
% composition(composition(A,converse(B)),complement(one))
% Current number of equations to process: 3184
% Current number of ordered equations: 4
% Current number of rules: 302
% New rule produced :
% [542]
% composition(composition(A,converse(B)),complement(one)) <->
% composition(A,converse(composition(complement(one),B)))
% Current number of equations to process: 3184
% Current number of ordered equations: 3
% Current number of rules: 303
% New rule produced :
% [543]
% composition(composition(A,complement(one)),converse(B)) <->
% composition(A,converse(composition(B,complement(one))))
% Current number of equations to process: 3184
% Current number of ordered equations: 2
% Current number of rules: 304
% New rule produced :
% [544]
% composition(converse(A),composition(complement(one),B)) <->
% composition(converse(composition(complement(one),A)),B)
% Current number of equations to process: 3183
% Current number of ordered equations: 3
% Current number of rules: 305
% New rule produced :
% [545]
% composition(complement(one),composition(converse(A),B)) <->
% composition(converse(composition(A,complement(one))),B)
% Current number of equations to process: 3183
% Current number of ordered equations: 2
% Current number of rules: 306
% New rule produced :
% [546]
% composition(converse(composition(complement(one),A)),B) <->
% composition(converse(A),composition(complement(one),B))
% Current number of equations to process: 3183
% Current number of ordered equations: 1
% Current number of rules: 307
% New rule produced :
% [547]
% composition(converse(composition(A,complement(one))),B) <->
% composition(complement(one),composition(converse(A),B))
% Current number of equations to process: 3183
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [548]
% one join composition(A,complement(converse(composition(complement(one),A))))
% -> one
% Current number of equations to process: 3179
% Current number of ordered equations: 0
% Current number of rules: 309
% New rule produced :
% [549]
% converse(composition(composition(A,top),complement(one))) <->
% composition(composition(complement(one),top),converse(A))
% Current number of equations to process: 3178
% Current number of ordered equations: 1
% Current number of rules: 310
% New rule produced :
% [550]
% composition(composition(complement(one),top),converse(A)) <->
% converse(composition(composition(A,top),complement(one)))
% Current number of equations to process: 3178
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced :
% [551]
% converse(composition(complement(one),composition(top,A))) <->
% composition(converse(A),composition(top,complement(one)))
% Current number of equations to process: 3177
% Current number of ordered equations: 1
% Current number of rules: 312
% New rule produced :
% [552]
% composition(converse(A),composition(top,complement(one))) <->
% converse(composition(complement(one),composition(top,A)))
% Current number of equations to process: 3177
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [553]
% converse(composition(complement(one),top)) join complement(one) ->
% converse(composition(complement(one),top))
% Current number of equations to process: 3176
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [554]
% composition(top,A) join composition(complement(composition(B,A)),top) -> top
% Current number of equations to process: 3174
% Current number of ordered equations: 1
% Current number of rules: 315
% New rule produced :
% [555]
% composition(composition(top,A),top) join complement(composition(B,A)) -> top
% Current number of equations to process: 3174
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced :
% [556]
% converse(complement(converse(complement(composition(A,top))))) join complement(A)
% -> top
% Current number of equations to process: 3171
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced :
% [557]
% converse(complement(converse(A))) join composition(composition(top,A),top) ->
% top
% Current number of equations to process: 3168
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced :
% [558]
% converse(composition(A,top)) join composition(complement(converse(A)),top) ->
% top
% Current number of equations to process: 3167
% Current number of ordered equations: 0
% Current number of rules: 319
% New rule produced :
% [559]
% converse(composition(composition(complement(one),top),converse(A))) <->
% composition(composition(A,top),complement(one))
% Current number of equations to process: 3168
% Current number of ordered equations: 1
% Current number of rules: 320
% New rule produced :
% [560]
% composition(composition(A,top),complement(one)) <->
% converse(composition(composition(complement(one),top),converse(A)))
% Current number of equations to process: 3168
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced :
% [561]
% converse(composition(converse(A),composition(top,complement(one)))) <->
% composition(complement(one),composition(top,A))
% Current number of equations to process: 3167
% Current number of ordered equations: 1
% Current number of rules: 322
% New rule produced :
% [562]
% composition(complement(one),composition(top,A)) <->
% converse(composition(converse(A),composition(top,complement(one))))
% Current number of equations to process: 3167
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced :
% [563]
% composition(sk1,complement(one)) join composition(complement(sk1),top) ->
% composition(complement(sk1),top)
% Current number of equations to process: 3166
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [564]
% composition(top,complement(one)) join composition(A,top) ->
% composition(top,complement(one)) join A
% Current number of equations to process: 3164
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced :
% [565]
% composition(A,top) join complement(A join B) ->
% composition(A,top) join complement(B)
% Current number of equations to process: 3163
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [566]
% composition(complement(A),top) join complement(A join B) ->
% composition(complement(A),top)
% Current number of equations to process: 3161
% Current number of ordered equations: 0
% Current number of rules: 327
% Rule [379]
% composition(converse(A),A) join complement(one) ->
% converse(composition(top,A)) join complement(one) is composed into
% [379]
% 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: 3296
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [568]
% composition(top,composition(A,top)) join complement(composition(A,B)) -> top
% Current number of equations to process: 3546
% Current number of ordered equations: 1
% Current number of rules: 329
% New rule produced :
% [569]
% composition(top,complement(composition(A,B))) join composition(A,top) -> top
% Current number of equations to process: 3546
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [570]
% composition(A,top) join complement(composition(composition(A,B),C)) -> top
% Current number of equations to process: 3545
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced :
% [571]
% composition(complement(composition(A,B)),top) join composition(A,top) -> top
% Current number of equations to process: 3542
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced :
% [572]
% converse(composition(A,top)) join complement(one) ->
% composition(A,top) join complement(one)
% Rule
% [553]
% converse(composition(complement(one),top)) join complement(one) ->
% converse(composition(complement(one),top)) collapsed.
% Current number of equations to process: 3562
% Current number of ordered equations: 0
% Current number of rules: 332
% Rule [536]
% composition(top,composition(complement(one),A)) <->
% composition(converse(composition(complement(one),top)),A) is composed into
% [536]
% composition(top,composition(complement(one),A)) <->
% composition(composition(complement(one),top),A)
% Rule [534]
% composition(composition(A,top),complement(one)) <->
% composition(A,converse(composition(complement(one),top))) is composed into
% [534]
% composition(composition(A,top),complement(one)) <->
% composition(A,composition(complement(one),top))
% New rule produced :
% [573]
% converse(composition(complement(one),top)) ->
% composition(complement(one),top)
% Rule [519] one join converse(composition(complement(one),top)) -> top
% collapsed.
% Rule
% [533]
% composition(A,converse(composition(complement(one),top))) <->
% composition(composition(A,top),complement(one)) collapsed.
% Rule
% [535]
% composition(converse(composition(complement(one),top)),A) <->
% composition(top,composition(complement(one),A)) collapsed.
% Current number of equations to process: 3563
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [574] complement(composition(top,complement(A))) join A -> A
% Current number of equations to process: 3890
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced :
% [575] complement(composition(complement(A),top)) join A -> A
% Current number of equations to process: 4179
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced :
% [576]
% composition(composition(A,top),composition(top,B)) ->
% composition(A,composition(top,B))
% Current number of equations to process: 4198
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [577]
% composition(top,composition(A,top)) join A ->
% composition(top,composition(A,top))
% Current number of equations to process: 4196
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced :
% [578] complement(composition(top,complement(A)) join B) join A -> A
% Current number of equations to process: 4195
% Current number of ordered equations: 0
% Current number of rules: 335
% New rule produced :
% [579] complement(composition(complement(A),top) join B) join A -> A
% Current number of equations to process: 4194
% Current number of ordered equations: 0
% Current number of rules: 336
% New rule produced :
% [580]
% converse(complement(complement(A) join B)) join converse(A) -> converse(A)
% Current number of equations to process: 4193
% Current number of ordered equations: 0
% Current number of rules: 337
% New rule produced :
% [581]
% composition(A,top) join complement(complement(A) join B) ->
% composition(A,top)
% Current number of equations to process: 4190
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced : [582] converse(complement(converse(complement(A)))) -> A
% Rule
% [230]
% converse(complement(converse(complement(A join B)))) join complement(B) ->
% top collapsed.
% Rule
% [406]
% converse(complement(converse(complement(complement(A) join B)))) join A ->
% top collapsed.
% Rule
% [411]
% converse(complement(converse(complement(A)))) join A ->
% converse(complement(converse(complement(A)))) collapsed.
% Rule
% [437]
% converse(complement(converse(complement(composition(top,A))))) join complement(A)
% -> top collapsed.
% Rule
% [556]
% converse(complement(converse(complement(composition(A,top))))) join complement(A)
% -> top collapsed.
% Current number of equations to process: 4426
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced : [583] converse(complement(converse(A))) -> complement(A)
% Rule [60] converse(complement(converse(A))) join A -> top collapsed.
% Rule
% [165]
% converse(complement(converse(composition(A,B)))) join composition(top,B) ->
% top collapsed.
% Rule
% [242]
% composition(converse(complement(converse(B))),A) join composition(B,A) ->
% composition(top,A) collapsed.
% Rule
% [245]
% converse(complement(converse(composition(converse(A),complement(A))))) join
% complement(one) -> top collapsed.
% Rule
% [249]
% converse(complement(converse(composition(A,complement(converse(A)))))) join
% complement(one) -> top collapsed.
% Rule
% [253]
% composition(A,converse(complement(converse(B)))) join composition(A,B) ->
% composition(A,top) collapsed.
% Rule [300] converse(complement(converse(A))) join composition(top,A) -> top
% collapsed.
% Rule
% [301]
% converse(complement(converse(composition(A,B)))) join composition(A,top) ->
% top collapsed.
% Rule
% [350]
% converse(complement(converse(composition(sk1,complement(one))))) join
% complement(sk1) -> top collapsed.
% Rule [395] complement(converse(complement(converse(A)))) join A -> A
% collapsed.
% Rule
% [396]
% converse(complement(converse(A))) join complement(A) ->
% converse(complement(converse(A))) collapsed.
% Rule [397] complement(converse(complement(converse(A))) join B) join A -> A
% collapsed.
% Rule
% [403]
% converse(complement(converse(A))) join complement(A join B) ->
% converse(complement(converse(A))) collapsed.
% Rule
% [447]
% composition(top,A) join complement(converse(complement(converse(A)))) ->
% composition(top,A) collapsed.
% Rule [448] converse(complement(converse(A))) join composition(A,top) -> top
% collapsed.
% Rule
% [506]
% converse(complement(converse(A))) join complement(composition(top,A)) ->
% converse(complement(converse(A))) collapsed.
% Rule
% [557]
% converse(complement(converse(A))) join composition(composition(top,A),top) ->
% top collapsed.
% Rule [582] converse(complement(converse(complement(A)))) -> A collapsed.
% Current number of equations to process: 4545
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced :
% [584]
% converse(A) join complement(converse(composition(top,complement(A)))) ->
% converse(A)
% Current number of equations to process: 4649
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced :
% [585]
% converse(A) join complement(converse(composition(complement(A),top))) ->
% converse(A)
% Current number of equations to process: 4648
% Current number of ordered equations: 0
% Current number of rules: 319
% New rule produced :
% [586] converse(complement(converse(complement(A)) join B)) join A -> A
% Current number of equations to process: 4665
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [587]
% converse(complement(A)) join complement(converse(composition(A,top))) ->
% converse(complement(A))
% Current number of equations to process: 4775
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced :
% [588]
% converse(complement(converse(A) join B)) join complement(A) -> complement(A)
% Current number of equations to process: 4803
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced :
% [589]
% converse(composition(A,top)) join complement(converse(complement(A))) ->
% converse(composition(A,top))
% Current number of equations to process: 2763
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced :
% [590]
% converse(complement(converse(A) join B)) join A ->
% converse(complement(B)) join A
% Rule
% [241] converse(complement(converse(A) join converse(B))) join A join B -> top
% collapsed.
% Rule [413] one join converse(complement(one join converse(A))) join A -> top
% collapsed.
% Current number of equations to process: 3205
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced :
% [591]
% one join converse(complement(one join A)) -> one join converse(complement(A))
% Current number of equations to process: 3293
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced :
% [592]
% converse(complement(composition(top,A))) join converse(complement(A)) ->
% converse(complement(A))
% Current number of equations to process: 3410
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [593]
% converse(complement(A)) join complement(converse(complement(composition(top,A))))
% -> top
% Current number of equations to process: 3507
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced :
% [594]
% one join complement(converse(complement(complement(one) join A))) -> top
% Current number of equations to process: 3581
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [595]
% converse(sk1) join complement(converse(complement(complement(sk1) join A)))
% -> top
% Current number of equations to process: 3596
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced :
% [596]
% converse(A) join complement(converse(complement(complement(A) join B))) ->
% top
% Rule
% [595]
% converse(sk1) join complement(converse(complement(complement(sk1) join A)))
% -> top collapsed.
% Current number of equations to process: 3619
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced :
% [597]
% sk1 join complement(converse(complement(converse(complement(sk1)) join A)))
% -> top
% Current number of equations to process: 3788
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [598]
% complement(one) join complement(converse(complement(one join A))) -> top
% Current number of equations to process: 3829
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [599]
% converse(complement(A)) join complement(converse(complement(composition(A,top))))
% -> top
% Current number of equations to process: 3891
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [600]
% complement(converse(complement(converse(A) join B))) join complement(A) ->
% top
% Current number of equations to process: 3890
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced :
% [601]
% complement(converse(complement(converse(complement(A)) join B))) join A ->
% top
% Rule
% [597]
% sk1 join complement(converse(complement(converse(complement(sk1)) join A)))
% -> top collapsed.
% Current number of equations to process: 3889
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced :
% [602] one join converse(complement(complement(one) join A)) -> one
% Current number of equations to process: 3991
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced :
% [603]
% converse(complement(one join A)) join complement(one) -> complement(one)
% Current number of equations to process: 4255
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [604]
% converse(complement(composition(A,top))) join converse(complement(A)) ->
% converse(complement(A))
% Current number of equations to process: 4310
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced :
% [605]
% composition(A,composition(top,complement(B))) join B ->
% composition(A,top) join B
% Current number of equations to process: 4931
% Current number of ordered equations: 0
% Current number of rules: 335
% New rule produced :
% [606]
% complement(composition(A,complement(composition(top,composition(A,top))))) ->
% top
% Current number of equations to process: 1764
% Current number of ordered equations: 0
% Current number of rules: 336
% New rule produced :
% [607] composition(top,complement(A)) join composition(A,top) -> top
% Current number of equations to process: 1986
% Current number of ordered equations: 1
% Current number of rules: 337
% New rule produced :
% [608] composition(composition(top,complement(A)),top) join A -> top
% Current number of equations to process: 1986
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced :
% [609]
% converse(complement(composition(top,complement(A)))) join converse(A) ->
% converse(A)
% Current number of equations to process: 2229
% Current number of ordered equations: 0
% Current number of rules: 339
% New rule produced :
% [610]
% composition(composition(top,complement(one)),A) join A -> composition(top,A)
% Current number of equations to process: 2284
% Current number of ordered equations: 0
% Current number of rules: 340
% New rule produced :
% [611]
% converse(composition(top,A)) join composition(top,complement(converse(A))) ->
% top
% Current number of equations to process: 2404
% Current number of ordered equations: 0
% Current number of rules: 341
% New rule produced :
% [612]
% converse(composition(complement(one),composition(top,A))) <->
% composition(converse(A),composition(complement(one),top))
% Current number of equations to process: 2399
% Current number of ordered equations: 1
% Current number of rules: 342
% New rule produced :
% [613]
% composition(converse(A),composition(complement(one),top)) <->
% converse(composition(complement(one),composition(top,A)))
% Current number of equations to process: 2399
% Current number of ordered equations: 0
% Current number of rules: 343
% New rule produced :
% [614]
% composition(composition(complement(one),top),complement(composition(complement(one),top)))
% -> zero
% Current number of equations to process: 2398
% Current number of ordered equations: 0
% Current number of rules: 344
% New rule produced :
% [615]
% converse(composition(composition(A,complement(one)),top)) <->
% composition(composition(complement(one),top),converse(A))
% Current number of equations to process: 2396
% Current number of ordered equations: 1
% Current number of rules: 345
% New rule produced :
% [616]
% composition(composition(complement(one),top),converse(A)) <->
% converse(composition(composition(A,complement(one)),top))
% Current number of equations to process: 2396
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced :
% [617]
% converse(composition(top,composition(A,top))) join converse(complement(A)) ->
% top
% Current number of equations to process: 2393
% Current number of ordered equations: 1
% Current number of rules: 347
% New rule produced :
% [618]
% converse(composition(top,complement(A))) join converse(composition(A,top)) ->
% top
% Current number of equations to process: 2393
% Current number of ordered equations: 0
% Current number of rules: 348
% New rule produced :
% [619]
% converse(composition(complement(A),top)) join converse(composition(A,top)) ->
% top
% Current number of equations to process: 2392
% Current number of ordered equations: 0
% Current number of rules: 349
% New rule produced :
% [620]
% converse(composition(top,composition(complement(A),top))) join converse(A) ->
% top
% Current number of equations to process: 2391
% Current number of ordered equations: 0
% Current number of rules: 350
% New rule produced :
% [621]
% complement(composition(composition(top,A),top)) join complement(A) ->
% complement(A)
% Current number of equations to process: 2452
% Current number of ordered equations: 0
% Current number of rules: 351
% New rule produced :
% [622]
% composition(composition(top,A),top) join complement(composition(A,B)) -> top
% Current number of equations to process: 3184
% Current number of ordered equations: 0
% Current number of rules: 352
% New rule produced :
% [623]
% composition(top,A) join complement(composition(top,complement(A))) ->
% composition(top,A)
% Current number of equations to process: 3363
% Current number of ordered equations: 0
% Current number of rules: 353
% New rule produced :
% [624]
% composition(top,A) join complement(composition(complement(A),top)) ->
% composition(top,A)
% Current number of equations to process: 3430
% Current number of ordered equations: 0
% Current number of rules: 354
% New rule produced :
% [625]
% composition(top,complement(A)) join complement(composition(top,A)) ->
% composition(top,complement(A))
% Current number of equations to process: 3706
% Current number of ordered equations: 0
% Current number of rules: 355
% New rule produced :
% [626]
% composition(complement(A),top) join complement(composition(top,A)) ->
% composition(complement(A),top)
% Current number of equations to process: 3705
% Current number of ordered equations: 0
% Current number of rules: 356
% New rule produced :
% [627]
% composition(composition(A,top),converse(composition(B,top))) ->
% composition(A,converse(composition(B,top)))
% Current number of equations to process: 3704
% Current number of ordered equations: 0
% Current number of rules: 357
% New rule produced :
% [628]
% composition(converse(composition(top,A)),composition(top,B)) ->
% composition(converse(composition(top,A)),B)
% Current number of equations to process: 3700
% Current number of ordered equations: 0
% Current number of rules: 358
% New rule produced :
% [629]
% composition(A,composition(top,B)) join complement(B) ->
% composition(A,top) join complement(B)
% Current number of equations to process: 3698
% Current number of ordered equations: 0
% Current number of rules: 359
% New rule produced :
% [630]
% composition(composition(A,top),composition(complement(one),top)) ->
% composition(A,composition(complement(one),top))
% Current number of equations to process: 3697
% Current number of ordered equations: 0
% Current number of rules: 360
% New rule produced :
% [631]
% composition(composition(top,complement(one)),composition(top,A)) ->
% composition(composition(complement(one),top),A)
% Current number of equations to process: 3696
% Current number of ordered equations: 0
% Current number of rules: 361
% New rule produced :
% [632]
% converse(composition(composition(complement(one),top),converse(A))) <->
% composition(composition(A,complement(one)),top)
% Current number of equations to process: 3693
% Current number of ordered equations: 1
% Current number of rules: 362
% New rule produced :
% [633]
% composition(composition(A,complement(one)),top) <->
% converse(composition(composition(complement(one),top),converse(A)))
% Current number of equations to process: 3693
% Current number of ordered equations: 0
% Current number of rules: 363
% New rule produced :
% [634]
% converse(composition(converse(A),composition(complement(one),top))) <->
% composition(complement(one),composition(top,A))
% Current number of equations to process: 3692
% Current number of ordered equations: 1
% Current number of rules: 364
% New rule produced :
% [635]
% composition(complement(one),composition(top,A)) <->
% converse(composition(converse(A),composition(complement(one),top)))
% Current number of equations to process: 3692
% Current number of ordered equations: 0
% Current number of rules: 365
% New rule produced :
% [636]
% converse(composition(complement(one),complement(one))) join complement(one)
% -> composition(complement(one),top)
% Current number of equations to process: 3691
% Current number of ordered equations: 0
% Current number of rules: 366
% New rule produced :
% [637]
% converse(composition(composition(top,A),top)) join complement(converse(A)) ->
% top
% Current number of equations to process: 3815
% Current number of ordered equations: 0
% Current number of rules: 367
% New rule produced :
% [638] composition(top,composition(A,top)) join complement(A) -> top
% Current number of equations to process: 4310
% Current number of ordered equations: 0
% Current number of rules: 368
% New rule produced :
% [639]
% composition(top,complement(A)) join complement(composition(A,top)) ->
% composition(top,complement(A))
% Current number of equations to process: 1509
% Current number of ordered equations: 0
% Current number of rules: 369
% New rule produced :
% [640]
% converse(composition(composition(top,complement(A)),top)) join converse(A) ->
% top
% Current number of equations to process: 1916
% Current number of ordered equations: 0
% Current number of rules: 370
% New rule produced :
% [641]
% converse(composition(complement(converse(A)),top)) join composition(A,top) ->
% top
% Current number of equations to process: 2016
% Current number of ordered equations: 0
% Current number of rules: 371
% New rule produced :
% [642]
% converse(composition(top,complement(converse(A)))) join composition(A,top) ->
% top
% Current number of equations to process: 2185
% Current number of ordered equations: 0
% Current number of rules: 372
% New rule produced :
% [643]
% converse(composition(composition(top,A),converse(A))) -> composition(A,top)
% Current number of equations to process: 2217
% Current number of ordered equations: 0
% Current number of rules: 373
% New rule produced :
% [644]
% composition(complement(one),composition(complement(one),top)) ->
% composition(complement(one),top)
% Current number of equations to process: 2278
% Current number of ordered equations: 0
% Current number of rules: 374
% New rule produced :
% [645]
% composition(converse(composition(A,top)),composition(top,A)) ->
% composition(top,A)
% Current number of equations to process: 2280
% Current number of ordered equations: 0
% Current number of rules: 375
% New rule produced :
% [646]
% composition(converse(composition(top,A)),composition(A,top)) ->
% converse(composition(top,A))
% Current number of equations to process: 2279
% Current number of ordered equations: 0
% Current number of rules: 376
% New rule produced :
% [647] composition(complement(composition(complement(A),top)),B) join A -> A
% Rule
% [488] composition(complement(composition(complement(A),top)),top) join A -> A
% collapsed.
% Current number of equations to process: 2496
% Current number of ordered equations: 0
% Current number of rules: 376
% New rule produced :
% [648]
% composition(converse(composition(A,top)),composition(A,B)) ->
% composition(composition(top,A),B)
% Current number of equations to process: 2498
% Current number of ordered equations: 0
% Current number of rules: 377
% New rule produced :
% [649]
% composition(composition(A,top),composition(converse(B),B)) ->
% composition(A,composition(top,B))
% Current number of equations to process: 2497
% Current number of ordered equations: 0
% Current number of rules: 378
% New rule produced :
% [650]
% composition(composition(A,complement(one)),complement(composition(complement(one),top)))
% -> zero
% Current number of equations to process: 2494
% Current number of ordered equations: 0
% Current number of rules: 379
% New rule produced :
% [651]
% converse(composition(complement(composition(top,A)),composition(converse(A),B)))
% -> zero
% Current number of equations to process: 2493
% Current number of ordered equations: 0
% Current number of rules: 380
% New rule produced :
% [652]
% complement(composition(complement(composition(complement(A),top)),B)) join A
% -> top
% Current number of equations to process: 2492
% Current number of ordered equations: 0
% Current number of rules: 381
% New rule produced :
% [653]
% composition(complement(composition(top,A)),composition(converse(A),B)) ->
% zero
% Rule
% [651]
% converse(composition(complement(composition(top,A)),composition(converse(A),B)))
% -> zero collapsed.
% Current number of equations to process: 2497
% Current number of ordered equations: 0
% Current number of rules: 381
% New rule produced :
% [654]
% composition(complement(composition(top,A)),converse(composition(top,A))) ->
% zero
% Current number of equations to process: 2510
% Current number of ordered equations: 0
% Current number of rules: 382
% New rule produced :
% [655]
% complement(sk1) join complement(composition(top,composition(sk1,top))) ->
% complement(sk1)
% Current number of equations to process: 2687
% Current number of ordered equations: 0
% Current number of rules: 383
% New rule produced :
% [656]
% composition(complement(one),composition(complement(composition(complement(one),top)),A))
% -> zero
% Current number of equations to process: 2752
% Current number of ordered equations: 0
% Current number of rules: 384
% New rule produced :
% [657]
% converse(composition(top,composition(A,top))) ->
% composition(composition(top,A),top)
% Rule
% [513]
% converse(composition(top,composition(A,top))) join complement(converse(A)) ->
% top collapsed.
% Rule
% [617]
% converse(composition(top,composition(A,top))) join converse(complement(A)) ->
% top collapsed.
% Rule
% [620]
% converse(composition(top,composition(complement(A),top))) join converse(A) ->
% top collapsed.
% Current number of equations to process: 2760
% Current number of ordered equations: 0
% Current number of rules: 382
% New rule produced :
% [658] composition(composition(top,A),top) join complement(converse(A)) -> top
% Current number of equations to process: 2759
% Current number of ordered equations: 0
% Current number of rules: 383
% New rule produced :
% [659] converse(complement(A)) join composition(composition(top,A),top) -> top
% Current number of equations to process: 2758
% Current number of ordered equations: 0
% Current number of rules: 384
% New rule produced :
% [660] converse(A) join composition(composition(top,complement(A)),top) -> top
% Current number of equations to process: 2757
% Current number of ordered equations: 0
% Current number of rules: 385
% New rule produced :
% [661]
% composition(composition(A,top),complement(composition(top,composition(A,top))))
% -> zero
% Current number of equations to process: 2890
% Current number of ordered equations: 0
% Current number of rules: 386
% New rule produced :
% [662]
% composition(composition(A,top),composition(composition(top,A),top)) ->
% composition(A,top)
% Current number of equations to process: 2892
% Current number of ordered equations: 0
% Current number of rules: 387
% New rule produced :
% [663]
% composition(composition(A,converse(B)),composition(B,top)) ->
% composition(A,converse(composition(top,B)))
% Current number of equations to process: 2951
% Current number of ordered equations: 0
% Current number of rules: 388
% New rule produced :
% [664]
% composition(composition(converse(A),A),composition(top,B)) ->
% composition(converse(composition(top,A)),B)
% Current number of equations to process: 2950
% Current number of ordered equations: 0
% Current number of rules: 389
% New rule produced :
% [665]
% composition(converse(composition(A,B)),composition(A,top)) ->
% converse(composition(composition(top,A),B))
% Current number of equations to process: 2949
% Current number of ordered equations: 0
% Current number of rules: 390
% New rule produced :
% [666]
% composition(converse(A),composition(A,composition(top,B))) ->
% composition(converse(composition(top,A)),B)
% Current number of equations to process: 2947
% Current number of ordered equations: 0
% Current number of rules: 391
% New rule produced :
% [667]
% converse(composition(composition(top,A),top)) ->
% composition(composition(top,A),top)
% Rule
% [515]
% converse(composition(composition(top,A),top)) join converse(complement(A)) ->
% top collapsed.
% Rule
% [637]
% converse(composition(composition(top,A),top)) join complement(converse(A)) ->
% top collapsed.
% Rule
% [640]
% converse(composition(composition(top,complement(A)),top)) join converse(A) ->
% top collapsed.
% Current number of equations to process: 2942
% Current number of ordered equations: 0
% Current number of rules: 389
% New rule produced :
% [668]
% composition(top,complement(one)) join complement(composition(sk1,top)) ->
% composition(complement(sk1),top)
% Current number of equations to process: 2938
% Current number of ordered equations: 0
% Current number of rules: 390
% New rule produced :
% [669]
% composition(composition(top,B),converse(composition(A,B))) ->
% converse(composition(composition(A,B),top))
% Current number of equations to process: 2936
% Current number of ordered equations: 0
% Current number of rules: 391
% New rule produced :
% [670]
% complement(converse(composition(top,complement(converse(A))))) join A -> A
% Current number of equations to process: 3040
% Current number of ordered equations: 0
% Current number of rules: 392
% New rule produced :
% [671] composition(composition(top,complement(converse(A))),top) join A -> top
% Current number of equations to process: 3190
% Current number of ordered equations: 0
% Current number of rules: 393
% New rule produced :
% [672]
% complement(converse(composition(complement(converse(A)),top))) join A -> A
% Current number of equations to process: 3237
% Current number of ordered equations: 0
% Current number of rules: 394
% New rule produced :
% [673]
% composition(complement(one),composition(top,complement(one))) ->
% composition(complement(one),top)
% Current number of equations to process: 3689
% Current number of ordered equations: 0
% Current number of rules: 395
% New rule produced :
% [674]
% converse(composition(complement(one),complement(one))) ->
% composition(complement(one),complement(one))
% Rule
% [636]
% converse(composition(complement(one),complement(one))) join complement(one)
% -> composition(complement(one),top) collapsed.
% Current number of equations to process: 3882
% Current number of ordered equations: 0
% Current number of rules: 395
% New rule produced :
% [675]
% composition(composition(complement(one),top),complement(one)) ->
% composition(complement(one),top)
% Current number of equations to process: 3886
% Current number of ordered equations: 0
% Current number of rules: 396
% New rule produced :
% [676]
% composition(complement(one),complement(composition(top,complement(one)))) ->
% zero
% Current number of equations to process: 4029
% Current number of ordered equations: 0
% Current number of rules: 397
% New rule produced :
% [677] composition(top,composition(complement(A),top)) join A -> top
% Current number of equations to process: 4042
% Current number of ordered equations: 0
% Current number of rules: 398
% New rule produced :
% [678]
% composition(A,composition(top,complement(one))) <->
% composition(composition(A,complement(one)),top)
% Current number of equations to process: 4346
% Current number of ordered equations: 1
% Current number of rules: 399
% New rule produced :
% [679]
% composition(composition(A,complement(one)),top) <->
% composition(A,composition(top,complement(one)))
% Current number of equations to process: 4346
% Current number of ordered equations: 0
% Current number of rules: 400
% New rule produced :
% [680]
% composition(complement(one),composition(top,A)) <->
% composition(composition(top,complement(one)),A)
% Current number of equations to process: 4345
% Current number of ordered equations: 1
% Current number of rules: 401
% New rule produced :
% [681]
% composition(composition(top,complement(one)),A) <->
% composition(complement(one),composition(top,A))
% Rule
% [526]
% composition(composition(top,complement(one)),top) ->
% composition(top,complement(one)) collapsed.
% Current number of equations to process: 4345
% Current number of ordered equations: 0
% Current number of rules: 401
% New rule produced :
% [682]
% one join composition(A,complement(composition(complement(one),top))) -> one
% Current number of equations to process: 4341
% Current number of ordered equations: 0
% Current number of rules: 402
% New rule produced :
% [683]
% converse(composition(composition(top,complement(one)),complement(one))) ->
% composition(complement(one),top)
% Current number of equations to process: 4537
% Current number of ordered equations: 0
% Current number of rules: 403
% New rule produced :
% [684]
% converse(complement(composition(complement(A),top))) join converse(A) ->
% converse(A)
% Current number of equations to process: 4536
% Current number of ordered equations: 0
% Current number of rules: 404
% New rule produced :
% [685]
% complement(composition(top,composition(A,top))) join complement(A) ->
% complement(A)
% Rule
% [655]
% complement(sk1) join complement(composition(top,composition(sk1,top))) ->
% complement(sk1) collapsed.
% Current number of equations to process: 4535
% Current number of ordered equations: 0
% Current number of rules: 404
% New rule produced :
% [686]
% composition(top,complement(composition(top,complement(one)))) ->
% complement(composition(complement(one),top))
% Current number of equations to process: 4596
% Current number of ordered equations: 0
% Current number of rules: 405
% New rule produced :
% [687]
% composition(A,composition(complement(one),top)) join A -> composition(A,top)
% Current number of equations to process: 4653
% Current number of ordered equations: 0
% Current number of rules: 406
% New rule produced :
% [688] complement(composition(composition(top,complement(A)),top)) join A -> A
% Current number of equations to process: 4925
% Current number of ordered equations: 0
% Current number of rules: 407
% Rule [562]
% composition(complement(one),composition(top,A)) <->
% converse(composition(converse(A),composition(top,complement(one)))) is composed into
% [562]
% composition(complement(one),composition(top,A)) <->
% converse(converse(composition(composition(complement(one),top),A)))
% Rule [551]
% converse(composition(complement(one),composition(top,A))) <->
% composition(converse(A),composition(top,complement(one))) is composed into
% [551]
% converse(composition(complement(one),composition(top,A))) <->
% converse(composition(composition(complement(one),top),A))
% New rule produced :
% [689]
% composition(converse(A),composition(top,complement(one))) ->
% converse(composition(composition(complement(one),top),A))
% Rule
% [552]
% composition(converse(A),composition(top,complement(one))) <->
% converse(composition(complement(one),composition(top,A))) collapsed.
% Rule
% [561]
% converse(composition(converse(A),composition(top,complement(one)))) <->
% composition(complement(one),composition(top,A)) collapsed.
% Current number of equations to process: 1705
% Current number of ordered equations: 0
% Current number of rules: 406
% New rule produced :
% [690]
% composition(composition(complement(one),top),complement(composition(top,
% complement(one)))) ->
% zero
% Current number of equations to process: 1704
% Current number of ordered equations: 0
% Current number of rules: 407
% Rule [635]
% composition(complement(one),composition(top,A)) <->
% converse(composition(converse(A),composition(complement(one),top))) is composed into
% [635]
% composition(complement(one),composition(top,A)) <->
% converse(converse(composition(composition(top,complement(one)),A)))
% Rule [612]
% converse(composition(complement(one),composition(top,A))) <->
% composition(converse(A),composition(complement(one),top)) is composed into
% [612]
% converse(composition(complement(one),composition(top,A))) <->
% converse(composition(composition(top,complement(one)),A))
% New rule produced :
% [691]
% composition(converse(A),composition(complement(one),top)) ->
% converse(composition(composition(top,complement(one)),A))
% Rule
% [613]
% composition(converse(A),composition(complement(one),top)) <->
% converse(composition(complement(one),composition(top,A))) collapsed.
% Rule
% [634]
% converse(composition(converse(A),composition(complement(one),top))) <->
% composition(complement(one),composition(top,A)) collapsed.
% Current number of equations to process: 1701
% Current number of ordered equations: 1
% Current number of rules: 406
% Rule [633]
% composition(composition(A,complement(one)),top) <->
% converse(composition(composition(complement(one),top),converse(A))) is composed into
% [633]
% composition(composition(A,complement(one)),top) <->
% converse(converse(composition(A,composition(top,complement(one)))))
% Rule [615]
% converse(composition(composition(A,complement(one)),top)) <->
% composition(composition(complement(one),top),converse(A)) is composed into
% [615]
% converse(composition(composition(A,complement(one)),top)) <->
% converse(composition(A,composition(top,complement(one))))
% Rule [560]
% composition(composition(A,top),complement(one)) <->
% converse(composition(composition(complement(one),top),converse(A))) is composed into
% [560]
% composition(composition(A,top),complement(one)) <->
% converse(converse(composition(A,composition(top,complement(one)))))
% Rule [549]
% converse(composition(composition(A,top),complement(one))) <->
% composition(composition(complement(one),top),converse(A)) is composed into
% [549]
% converse(composition(composition(A,top),complement(one))) <->
% converse(composition(A,composition(top,complement(one))))
% New rule produced :
% [692]
% composition(composition(complement(one),top),converse(A)) ->
% converse(composition(A,composition(top,complement(one))))
% Rule
% [550]
% composition(composition(complement(one),top),converse(A)) <->
% converse(composition(composition(A,top),complement(one))) collapsed.
% Rule
% [559]
% converse(composition(composition(complement(one),top),converse(A))) <->
% composition(composition(A,top),complement(one)) collapsed.
% Rule
% [616]
% composition(composition(complement(one),top),converse(A)) <->
% converse(composition(composition(A,complement(one)),top)) collapsed.
% Rule
% [632]
% converse(composition(composition(complement(one),top),converse(A))) <->
% composition(composition(A,complement(one)),top) collapsed.
% Current number of equations to process: 1701
% Current number of ordered equations: 0
% Current number of rules: 403
% New rule produced :
% [693]
% composition(composition(top,complement(one)),converse(A)) ->
% converse(composition(A,composition(complement(one),top)))
% Current number of equations to process: 1699
% Current number of ordered equations: 0
% Current number of rules: 404
% New rule produced :
% [694]
% composition(complement(one),top) join complement(composition(A,complement(one)))
% -> top
% Current number of equations to process: 1696
% Current number of ordered equations: 1
% Current number of rules: 405
% New rule produced :
% [695]
% composition(top,complement(one)) join complement(composition(complement(one),top))
% -> top
% Current number of equations to process: 1696
% Current number of ordered equations: 0
% Current number of rules: 406
% New rule produced :
% [696]
% one join complement(composition(A,complement(composition(complement(one),top))))
% -> top
% Current number of equations to process: 1695
% Current number of ordered equations: 0
% Current number of rules: 407
% New rule produced :
% [697]
% composition(top,complement(one)) join complement(composition(complement(one),A))
% -> top
% Rule
% [695]
% composition(top,complement(one)) join complement(composition(complement(one),top))
% -> top collapsed.
% Current number of equations to process: 1691
% Current number of ordered equations: 0
% Current number of rules: 407
% New rule produced :
% [698]
% composition(composition(top,complement(one)),complement(composition(top,
% complement(one)))) ->
% zero
% Current number of equations to process: 1682
% Current number of ordered equations: 0
% Current number of rules: 408
% New rule produced :
% [699]
% composition(A,composition(B,top)) join complement(composition(A,B)) -> top
% Current number of equations to process: 1680
% Current number of ordered equations: 0
% Current number of rules: 409
% New rule produced :
% [700]
% composition(top,composition(complement(A),top)) join composition(top,A) ->
% top
% Current number of equations to process: 1679
% Current number of ordered equations: 0
% Current number of rules: 410
% New rule produced :
% [701]
% composition(composition(top,A),top) join composition(complement(A),top) ->
% top
% Current number of equations to process: 1678
% Current number of ordered equations: 0
% Current number of rules: 411
% New rule produced :
% [702]
% composition(top,complement(A)) join composition(composition(top,A),top) ->
% top
% Current number of equations to process: 1677
% Current number of ordered equations: 0
% Current number of rules: 412
% New rule produced :
% [703]
% converse(A) join composition(composition(top,A),top) ->
% composition(composition(top,A),top)
% Current number of equations to process: 1675
% Current number of ordered equations: 0
% Current number of rules: 413
% New rule produced :
% [704]
% composition(top,A) join composition(composition(top,complement(A)),top) ->
% top
% Current number of equations to process: 1674
% Current number of ordered equations: 0
% Current number of rules: 414
% New rule produced :
% [705]
% composition(composition(top,complement(A)),top) join composition(A,top) ->
% top
% Current number of equations to process: 1671
% Current number of ordered equations: 0
% Current number of rules: 415
% New rule produced :
% [706]
% composition(composition(top,complement(one)),complement(one)) ->
% composition(complement(one),top)
% Rule
% [683]
% converse(composition(composition(top,complement(one)),complement(one))) ->
% composition(complement(one),top) collapsed.
% Current number of equations to process: 1730
% Current number of ordered equations: 0
% Current number of rules: 415
% New rule produced :
% [707]
% composition(composition(complement(one),top),A) join A -> composition(top,A)
% Current number of equations to process: 1838
% Current number of ordered equations: 0
% Current number of rules: 416
% New rule produced :
% [708]
% composition(sk1,complement(one)) ->
% complement(sk1 join complement(composition(sk1,top)))
% Rule
% [205]
% composition(sk1,complement(one)) join complement(sk1) -> complement(sk1)
% collapsed.
% Rule
% [351]
% converse(composition(sk1,complement(one))) join converse(complement(sk1)) ->
% converse(complement(sk1)) collapsed.
% Rule
% [440]
% composition(sk1,complement(one)) join composition(top,complement(sk1)) ->
% composition(top,complement(sk1)) collapsed.
% Rule
% [501]
% composition(sk1,complement(one)) join complement(composition(sk1,top)) ->
% complement(sk1) collapsed.
% Rule
% [505]
% converse(complement(sk1)) join complement(converse(composition(sk1,complement(one))))
% -> top collapsed.
% Rule
% [538]
% complement(composition(sk1,complement(one))) ->
% sk1 join complement(composition(sk1,top)) collapsed.
% Rule
% [563]
% composition(sk1,complement(one)) join composition(complement(sk1),top) ->
% composition(complement(sk1),top) collapsed.
% Current number of equations to process: 2142
% Current number of ordered equations: 0
% Current number of rules: 410
% New rule produced :
% [709]
% composition(top,composition(A,top)) join complement(composition(B,A)) -> top
% Current number of equations to process: 4026
% Current number of ordered equations: 0
% Current number of rules: 411
% New rule produced :
% [710]
% composition(complement(one),top) join composition(A,complement(one)) ->
% composition(complement(one),top)
% Current number of equations to process: 4152
% Current number of ordered equations: 0
% Current number of rules: 412
% New rule produced :
% [711]
% composition(top,complement(one)) join composition(complement(one),A) ->
% composition(complement(one),top)
% Current number of equations to process: 4150
% Current number of ordered equations: 0
% Current number of rules: 413
% New rule produced :
% [712]
% composition(top,complement(one)) join composition(top,A) ->
% composition(complement(one),top) join A
% Current number of equations to process: 4146
% Current number of ordered equations: 0
% Current number of rules: 414
% New rule produced :
% [713]
% composition(complement(A),top) join complement(composition(A,top)) ->
% composition(complement(A),top)
% Current number of equations to process: 4145
% Current number of ordered equations: 0
% Current number of rules: 415
% New rule produced :
% [714]
% composition(complement(one),top) join composition(A,top) ->
% composition(complement(one),top) join A
% Current number of equations to process: 4238
% Current number of ordered equations: 0
% Current number of rules: 416
% New rule produced :
% [715]
% composition(A,top) join complement(composition(top,complement(A))) ->
% composition(A,top)
% Current number of equations to process: 1789
% Current number of ordered equations: 0
% Current number of rules: 417
% New rule produced :
% [716]
% composition(A,top) join complement(composition(complement(A),top)) ->
% composition(A,top)
% Current number of equations to process: 1896
% Current number of ordered equations: 0
% Current number of rules: 418
% New rule produced :
% [717]
% converse(complement(A)) join composition(top,A) join complement(one) -> top
% Current number of equations to process: 2754
% Current number of ordered equations: 0
% Current number of rules: 419
% New rule produced :
% [718]
% composition(top,A) join complement(one) join complement(converse(A)) -> top
% Current number of equations to process: 2753
% Current number of ordered equations: 0
% Current number of rules: 420
% New rule produced :
% [719]
% converse(A) join composition(top,complement(A)) join complement(one) -> top
% Current number of equations to process: 2752
% Current number of ordered equations: 0
% Current number of rules: 421
% New rule produced :
% [720]
% composition(top,complement(converse(A))) join complement(one) join A -> top
% Current number of equations to process: 2751
% Current number of ordered equations: 0
% Current number of rules: 422
% New rule produced :
% [721]
% composition(A,top) join complement(one) join complement(converse(A)) -> top
% Current number of equations to process: 3462
% Current number of ordered equations: 0
% Current number of rules: 423
% New rule produced :
% [722] complement(composition(top,composition(complement(A),top))) join A -> A
% Current number of equations to process: 4796
% Current number of ordered equations: 0
% Current number of rules: 424
% New rule produced :
% [723]
% converse(complement(A)) join composition(A,top) join complement(one) -> top
% Current number of equations to process: 1580
% Current number of ordered equations: 0
% Current number of rules: 425
% New rule produced :
% [724]
% converse(A) join composition(complement(A),top) join complement(one) -> top
% Current number of equations to process: 1579
% Current number of ordered equations: 0
% Current number of rules: 426
% New rule produced :
% [725]
% composition(complement(converse(A)),top) join complement(one) join A -> top
% Current number of equations to process: 1578
% Current number of ordered equations: 0
% Current number of rules: 427
% New rule produced :
% [726]
% composition(top,composition(A,top)) join composition(top,complement(A)) ->
% top
% Current number of equations to process: 1572
% Current number of ordered equations: 0
% Current number of rules: 428
% New rule produced :
% [727]
% composition(top,composition(A,top)) join composition(complement(A),top) ->
% top
% Current number of equations to process: 1571
% Current number of ordered equations: 0
% Current number of rules: 429
% New rule produced :
% [728]
% composition(top,composition(complement(A),top)) join composition(A,top) ->
% top
% Current number of equations to process: 1570
% Current number of ordered equations: 0
% Current number of rules: 430
% New rule produced :
% [729] converse(complement(complement(converse(A)) join B)) join A -> A
% Current number of equations to process: 1596
% Current number of ordered equations: 0
% Current number of rules: 431
% New rule produced :
% [730]
% converse(composition(top,complement(converse(A)))) ->
% composition(complement(A),top)
% Rule [508] converse(composition(top,complement(converse(A)))) join A -> top
% collapsed.
% Rule
% [511]
% converse(composition(top,complement(converse(A)))) join composition(top,A) ->
% top collapsed.
% Rule
% [642]
% converse(composition(top,complement(converse(A)))) join composition(A,top) ->
% top collapsed.
% Rule
% [670]
% complement(converse(composition(top,complement(converse(A))))) join A -> A
% collapsed.
% Current number of equations to process: 1963
% Current number of ordered equations: 0
% Current number of rules: 428
% New rule produced : [731] complement(converse(A)) -> converse(complement(A))
% Rule
% [126]
% composition(A,complement(converse(A))) join complement(one) ->
% complement(one) collapsed.
% Rule
% [182]
% composition(top,A) join complement(converse(composition(converse(A),B))) ->
% top collapsed.
% Rule
% [186]
% complement(one) join complement(composition(A,complement(converse(A)))) ->
% top collapsed.
% Rule
% [192]
% complement(one) join complement(converse(composition(converse(A),complement(A))))
% -> top collapsed.
% Rule [203] composition(A,complement(converse(composition(top,A)))) -> zero
% collapsed.
% Rule
% [216]
% converse(composition(A,complement(converse(A)))) join complement(one) ->
% complement(one) collapsed.
% Rule
% [237]
% one join complement(composition(A,complement(converse(A)))) ->
% complement(composition(A,complement(converse(A)))) collapsed.
% Rule
% [258]
% composition(A,complement(converse(composition(converse(complement(B)),A)))) join B
% -> B collapsed.
% Rule
% [297]
% composition(complement(converse(A)),complement(composition(A,top))) ->
% composition(top,complement(composition(A,top))) collapsed.
% Rule
% [298]
% converse(composition(top,A)) join complement(converse(composition(B,A))) ->
% top collapsed.
% Rule
% [305]
% converse(composition(A,top)) join complement(converse(composition(A,B))) ->
% top collapsed.
% Rule [306] converse(composition(A,top)) join complement(converse(A)) -> top
% collapsed.
% Rule
% [310]
% complement(one) join complement(converse(composition(A,complement(converse(A)))))
% -> top collapsed.
% Rule
% [347]
% composition(composition(A,B),complement(converse(composition(top,B)))) ->
% zero collapsed.
% Rule
% [348]
% composition(B,composition(complement(converse(composition(top,B))),A)) ->
% zero collapsed.
% Rule
% [372]
% converse(complement(composition(A,complement(converse(A))))) join complement(one)
% -> top collapsed.
% Rule
% [393] converse(A) join complement(converse(complement(A))) -> converse(A)
% collapsed.
% Rule
% [394]
% converse(complement(A)) join complement(converse(A)) ->
% converse(complement(A)) collapsed.
% Rule
% [407]
% converse(complement(A)) join complement(converse(complement(A join B))) ->
% top collapsed.
% Rule
% [421]
% converse(composition(top,A)) join composition(complement(converse(A)),top) ->
% top collapsed.
% Rule
% [445]
% composition(A,top) join complement(converse(composition(B,converse(A)))) ->
% top collapsed.
% Rule [446] converse(composition(top,A)) join complement(converse(A)) -> top
% collapsed.
% Rule
% [450]
% converse(complement(A)) join complement(converse(composition(top,A))) ->
% converse(complement(A)) collapsed.
% Rule
% [452]
% complement(converse(composition(A,top))) join complement(converse(A)) ->
% complement(converse(A)) collapsed.
% Rule
% [453]
% converse(composition(A,top)) join composition(top,complement(converse(A))) ->
% top collapsed.
% Rule
% [507]
% converse(composition(top,A)) join complement(converse(complement(A))) ->
% converse(composition(top,A)) collapsed.
% Rule [509] converse(composition(complement(converse(A)),top)) join A -> top
% collapsed.
% Rule
% [510]
% complement(converse(composition(top,A))) join complement(converse(A)) ->
% complement(converse(A)) collapsed.
% Rule
% [514]
% converse(composition(complement(converse(A)),top)) join composition(top,A) ->
% top collapsed.
% Rule
% [548]
% one join composition(A,complement(converse(composition(complement(one),A))))
% -> one collapsed.
% Rule
% [558]
% converse(composition(A,top)) join composition(complement(converse(A)),top) ->
% top collapsed.
% Rule [583] converse(complement(converse(A))) -> complement(A) collapsed.
% Rule
% [584]
% converse(A) join complement(converse(composition(top,complement(A)))) ->
% converse(A) collapsed.
% Rule
% [585]
% converse(A) join complement(converse(composition(complement(A),top))) ->
% converse(A) collapsed.
% Rule
% [587]
% converse(complement(A)) join complement(converse(composition(A,top))) ->
% converse(complement(A)) collapsed.
% Rule
% [589]
% converse(composition(A,top)) join complement(converse(complement(A))) ->
% converse(composition(A,top)) collapsed.
% Rule
% [593]
% converse(complement(A)) join complement(converse(complement(composition(top,A))))
% -> top collapsed.
% Rule
% [594]
% one join complement(converse(complement(complement(one) join A))) -> top
% collapsed.
% Rule
% [596]
% converse(A) join complement(converse(complement(complement(A) join B))) ->
% top collapsed.
% Rule
% [598]
% complement(one) join complement(converse(complement(one join A))) -> top
% collapsed.
% Rule
% [599]
% converse(complement(A)) join complement(converse(complement(composition(A,top))))
% -> top collapsed.
% Rule
% [600]
% complement(converse(complement(converse(A) join B))) join complement(A) ->
% top collapsed.
% Rule
% [601]
% complement(converse(complement(converse(complement(A)) join B))) join A ->
% top collapsed.
% Rule
% [611]
% converse(composition(top,A)) join composition(top,complement(converse(A))) ->
% top collapsed.
% Rule
% [641]
% converse(composition(complement(converse(A)),top)) join composition(A,top) ->
% top collapsed.
% Rule
% [658] composition(composition(top,A),top) join complement(converse(A)) -> top
% collapsed.
% Rule
% [671] composition(composition(top,complement(converse(A))),top) join A -> top
% collapsed.
% Rule
% [672]
% complement(converse(composition(complement(converse(A)),top))) join A -> A
% collapsed.
% Rule
% [718]
% composition(top,A) join complement(one) join complement(converse(A)) -> top
% collapsed.
% Rule
% [720]
% composition(top,complement(converse(A))) join complement(one) join A -> top
% collapsed.
% Rule
% [721]
% composition(A,top) join complement(one) join complement(converse(A)) -> top
% collapsed.
% Rule
% [725]
% composition(complement(converse(A)),top) join complement(one) join A -> top
% collapsed.
% Rule [729] converse(complement(complement(converse(A)) join B)) join A -> A
% collapsed.
% Rule
% [730]
% converse(composition(top,complement(converse(A)))) ->
% composition(complement(A),top) collapsed.
% Current number of equations to process: 2007
% Current number of ordered equations: 0
% Current number of rules: 375
% New rule produced :
% [732]
% converse(composition(complemenCputime limit exceeded (core dumped)
%
% EOF
%------------------------------------------------------------------------------