TSTP Solution File: REL001-1 by CiME---2.01
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%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : REL001-1 : TPTP v6.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n107.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32286.75MB
% OS : Linux 2.6.32-431.11.2.el6.x86_64
% CPULimit : 300s
% DateTime : Tue Jun 10 00:30:45 EDT 2014
% Result : Timeout 300.07s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : REL001-1 : TPTP v6.0.0. Released v4.0.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n107.star.cs.uiowa.edu
% % Model : x86_64 x86_64
% % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory : 32286.75MB
% % OS : Linux 2.6.32-431.11.2.el6.x86_64
% % CPULimit : 300
% % DateTime : Thu Jun 5 15:12:48 CDT 2014
% % CPUTime : 300.07
% Processing problem /tmp/CiME_62476_n107.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));
% ";
%
% 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 " zero join sk1 = sk1;"
% ;
% (*
% let Red_Axioms = normalize_equations Defining_rules Axioms;
%
% let Red_Conjectures = normalize_equations Defining_rules Conjectures;
% *)
% #time on;
%
% let res = prove_conj_by_ordered_completion o Axioms Conjectures;
%
% #time off;
%
%
% let status = if res then "unsatisfiable" else "satisfiable";
% #quit;
% Verbose level is now 1
%
% F : signature = <signature>
% X : variable_set = <variable set>
%
% Axioms : (F,X) equations = { composition(composition(A,B),C) =
% composition(A,composition(B,C)),
% A =
% complement(complement(A) join complement(B)) join
% complement(complement(A) join B),
% meet(A,B) =
% complement(complement(A) join complement(B)),
% composition(A,one) = A,
% composition(A join B,C) =
% composition(A,C) join composition(B,C),
% converse(converse(A)) = A,
% converse(A join B) =
% converse(A) join converse(B),
% converse(composition(A,B)) =
% composition(converse(B),converse(A)),
% composition(converse(A),complement(composition(A,B))) join
% complement(B) = complement(B),
% top = complement(A) join A,
% zero = meet(A,complement(A)) } (11 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 = { sk1 join zero = sk1 } (1 equation(s))
% time is now on
%
% Initializing completion ...
% New rule produced : [1] converse(converse(A)) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 11
% 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: 10
% 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: 9
% 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: 8
% 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: 7
% 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: 6
% 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: 11
% 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: 10
% 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: 24
% 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: 9
% Current number of rules: 9
% New rule produced :
% [11] 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: 10
% New rule produced :
% [12]
% 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: 11
% New rule produced :
% [13]
% 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: 12
% New rule produced : [14] 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: 13
% New rule produced :
% [15] 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: 14
% New rule produced :
% [16] 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: 15
% New rule produced :
% [17] 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: 16
% New rule produced :
% [18] 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: 17
% New rule produced :
% [19] 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: 18
% New rule produced :
% [20] 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: 19
% New rule produced : [21] zero join top -> top
% Current number of equations to process: 31
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [22] composition(complement(B),A) join composition(B,A) -> composition(top,A)
% Current number of equations to process: 43
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [23] top join composition(converse(A),complement(composition(A,B))) -> top
% Current number of equations to process: 42
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [24] top join complement(A join B) join B -> top join complement(A)
% Current number of equations to process: 41
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [25]
% composition(A,converse(composition(B,C))) <->
% composition(composition(A,converse(C)),converse(B))
% Current number of equations to process: 40
% Current number of ordered equations: 1
% Current number of rules: 24
% New rule produced :
% [26]
% composition(composition(A,converse(C)),converse(B)) <->
% composition(A,converse(composition(B,C)))
% Current number of equations to process: 40
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [27]
% composition(converse(B),composition(converse(A),C)) <->
% composition(converse(composition(A,B)),C)
% Current number of equations to process: 39
% Current number of ordered equations: 1
% Current number of rules: 26
% New rule produced :
% [28]
% composition(converse(composition(A,B)),C) <->
% composition(converse(B),composition(converse(A),C))
% Current number of equations to process: 39
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [29] top join complement(complement(A join B) join B) -> top join A
% Current number of equations to process: 36
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [30]
% composition(A,composition(composition(B,C),V_3)) <->
% composition(composition(A,B),composition(C,V_3))
% Current number of equations to process: 35
% Current number of ordered equations: 1
% Current number of rules: 29
% New rule produced :
% [31]
% composition(composition(A,B),composition(C,V_3)) <->
% composition(A,composition(composition(B,C),V_3))
% Current number of equations to process: 35
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [32]
% composition(A,composition(composition(B,C),V_3)) <->
% composition(composition(composition(A,B),C),V_3)
% Current number of equations to process: 32
% Current number of ordered equations: 5
% Current number of rules: 31
% New rule produced :
% [33]
% composition(A,composition(B,composition(C,V_3))) <->
% composition(composition(A,composition(B,C)),V_3)
% Current number of equations to process: 32
% Current number of ordered equations: 4
% Current number of rules: 32
% New rule produced :
% [34]
% composition(A,composition(B,composition(C,V_3))) <->
% composition(composition(composition(A,B),C),V_3)
% Current number of equations to process: 32
% Current number of ordered equations: 3
% Current number of rules: 33
% New rule produced :
% [35]
% composition(composition(A,composition(B,C)),V_3) <->
% composition(A,composition(B,composition(C,V_3)))
% Current number of equations to process: 32
% Current number of ordered equations: 2
% Current number of rules: 34
% New rule produced :
% [36]
% composition(composition(composition(A,B),C),V_3) <->
% composition(A,composition(composition(B,C),V_3))
% Current number of equations to process: 32
% Current number of ordered equations: 1
% Current number of rules: 35
% New rule produced :
% [37]
% composition(composition(composition(A,B),C),V_3) <->
% composition(A,composition(B,composition(C,V_3)))
% Current number of equations to process: 32
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [38]
% composition(composition(A,composition(B,C)),V_3) <->
% composition(composition(A,B),composition(C,V_3))
% Current number of equations to process: 31
% Current number of ordered equations: 1
% Current number of rules: 37
% New rule produced :
% [39]
% composition(composition(A,B),composition(C,V_3)) <->
% composition(composition(A,composition(B,C)),V_3)
% Current number of equations to process: 31
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [40]
% composition(converse(A),complement(A)) join complement(one) ->
% complement(one)
% Current number of equations to process: 39
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [41]
% zero join composition(converse(A),complement(composition(A,top))) -> zero
% Current number of equations to process: 44
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [42] zero join complement(complement(A) join complement(A)) -> A
% Current number of equations to process: 72
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [43] top join complement(complement(A) join B) -> top join complement(B)
% Rule [29] top join complement(complement(A join B) join B) -> top join A
% collapsed.
% Current number of equations to process: 71
% Current number of ordered equations: 1
% Current number of rules: 41
% New rule produced : [44] top join A <-> top join complement(B)
% Rule [14] top join complement(complement(A)) -> top join A collapsed.
% Rule
% [23] top join composition(converse(A),complement(composition(A,B))) -> top
% collapsed.
% Rule [24] top join complement(A join B) join B -> top join complement(A)
% collapsed.
% Rule [43] top join complement(complement(A) join B) -> top join complement(B)
% collapsed.
% Current number of equations to process: 72
% Current number of ordered equations: 2
% Current number of rules: 38
% Rule [44] top join A <-> top join complement(B) is composed into [44]
% top join A
% -> top
% New rule produced : [45] top join complement(B) -> top
% Current number of equations to process: 71
% Current number of ordered equations: 1
% Current number of rules: 39
% New rule produced :
% [46] zero join complement(complement(complement(A)) join A) -> complement(A)
% Current number of equations to process: 70
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced : [47] complement(complement(A)) -> A
% Rule
% [46] zero join complement(complement(complement(A)) join A) -> complement(A)
% collapsed.
% Current number of equations to process: 69
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced : [48] zero join complement(A join A) -> complement(A)
% Rule [42] zero join complement(complement(A) join complement(A)) -> A
% collapsed.
% Current number of equations to process: 68
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [49]
% converse(composition(C,A join B)) ->
% converse(composition(C,A)) join converse(composition(C,B))
% Current number of equations to process: 66
% Current number of ordered equations: 1
% Current number of rules: 41
% New rule produced :
% [50]
% composition(converse(A),converse(B) join converse(C)) ->
% converse(composition(B,A)) join converse(composition(C,A))
% Current number of equations to process: 66
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [51]
% composition(A,complement(composition(converse(A),B))) join complement(B) ->
% complement(B)
% Current number of equations to process: 65
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [52]
% converse(complement(A join B)) join converse(A) join converse(B) ->
% converse(top)
% Current number of equations to process: 61
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced : [53] zero join complement(zero join complement(A)) -> A
% Current number of equations to process: 75
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [54]
% complement(complement(A) join B) join B <->
% complement(complement(B) join A) join A
% Current number of equations to process: 74
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [55] complement(zero join complement(A)) join complement(zero join A) -> top
% Current number of equations to process: 72
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced : [56] converse(top) join complement(converse(A)) -> top
% Current number of equations to process: 92
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [57] converse(complement(converse(A))) join A -> converse(top)
% Current number of equations to process: 91
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced : [58] converse(zero) join converse(top) -> converse(top)
% Current number of equations to process: 92
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced : [59] composition(converse(one),A) -> A
% Current number of equations to process: 101
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced : [60] converse(top) join converse(A) -> converse(top)
% Rule [58] converse(zero) join converse(top) -> converse(top) collapsed.
% Current number of equations to process: 134
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [61]
% converse(composition(converse(A),B)) <->
% composition(converse(composition(one,B)),A)
% Current number of equations to process: 156
% Current number of ordered equations: 1
% Current number of rules: 52
% New rule produced :
% [62]
% composition(converse(composition(one,B)),A) <->
% converse(composition(converse(A),B))
% Current number of equations to process: 156
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [63] composition(zero,A) join composition(top,A) -> composition(top,A)
% Current number of equations to process: 155
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [64] composition(top,A) join complement(composition(B,A)) -> top
% Current number of equations to process: 154
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [65]
% 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: 56
% New rule produced :
% [66]
% 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: 57
% New rule produced :
% [67]
% 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: 58
% New rule produced :
% [68]
% composition(A,composition(composition(one,B),C)) ->
% composition(A,composition(B,C))
% Current number of equations to process: 155
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [69]
% converse(composition(A,composition(B,converse(C)))) <->
% composition(C,converse(composition(A,B)))
% Current number of equations to process: 151
% Current number of ordered equations: 1
% Current number of rules: 60
% New rule produced :
% [70]
% composition(C,converse(composition(A,B))) <->
% converse(composition(A,composition(B,converse(C))))
% Current number of equations to process: 151
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [71]
% converse(composition(composition(converse(A),B),C)) <->
% composition(converse(composition(B,C)),A)
% Current number of equations to process: 150
% Current number of ordered equations: 1
% Current number of rules: 62
% New rule produced :
% [72]
% composition(converse(composition(B,C)),A) <->
% converse(composition(composition(converse(A),B),C))
% Current number of equations to process: 150
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [73]
% composition(A,converse(composition(B,converse(C)))) <->
% composition(composition(A,C),converse(B))
% Current number of equations to process: 149
% Current number of ordered equations: 1
% Current number of rules: 64
% New rule produced :
% [74]
% composition(composition(A,C),converse(B)) <->
% composition(A,converse(composition(B,converse(C))))
% Current number of equations to process: 149
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [75]
% converse(composition(C,converse(composition(A,B)))) <->
% composition(A,composition(B,converse(C)))
% Current number of equations to process: 147
% Current number of ordered equations: 3
% Current number of rules: 66
% New rule produced :
% [76]
% composition(A,composition(B,converse(C))) <->
% converse(composition(C,converse(composition(A,B))))
% Current number of equations to process: 147
% Current number of ordered equations: 2
% Current number of rules: 67
% New rule produced :
% [77]
% composition(B,composition(converse(A),C)) <->
% composition(converse(composition(A,converse(B))),C)
% Current number of equations to process: 147
% Current number of ordered equations: 1
% Current number of rules: 68
% New rule produced :
% [78]
% composition(converse(composition(A,converse(B))),C) <->
% composition(B,composition(converse(A),C))
% Current number of equations to process: 147
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [79]
% converse(composition(converse(composition(B,C)),A)) <->
% composition(composition(converse(A),B),C)
% Current number of equations to process: 145
% Current number of ordered equations: 3
% Current number of rules: 70
% New rule produced :
% [80]
% composition(A,converse(composition(converse(B),C))) <->
% composition(composition(A,converse(C)),B)
% Current number of equations to process: 145
% Current number of ordered equations: 2
% Current number of rules: 71
% New rule produced :
% [81]
% composition(composition(converse(A),B),C) <->
% converse(composition(converse(composition(B,C)),A))
% Current number of equations to process: 145
% Current number of ordered equations: 1
% Current number of rules: 72
% New rule produced :
% [82]
% composition(composition(A,converse(C)),B) <->
% composition(A,converse(composition(converse(B),C)))
% Current number of equations to process: 145
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [83]
% composition(converse(B),composition(A,C)) <->
% composition(converse(composition(converse(A),B)),C)
% Current number of equations to process: 144
% Current number of ordered equations: 1
% Current number of rules: 74
% New rule produced :
% [84]
% composition(converse(composition(converse(A),B)),C) <->
% composition(converse(B),composition(A,C))
% Current number of equations to process: 144
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [85] converse(top) join complement(converse(A) join B) join B -> top
% Current number of equations to process: 145
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [86]
% converse(composition(C,composition(B,converse(A)))) <->
% composition(composition(A,converse(B)),converse(C))
% Current number of equations to process: 143
% Current number of ordered equations: 3
% Current number of rules: 77
% New rule produced :
% [87]
% converse(composition(composition(C,converse(B)),A)) <->
% composition(converse(A),composition(B,converse(C)))
% Current number of equations to process: 143
% Current number of ordered equations: 2
% Current number of rules: 78
% New rule produced :
% [88]
% composition(converse(A),composition(B,converse(C))) <->
% converse(composition(composition(C,converse(B)),A))
% Current number of equations to process: 143
% Current number of ordered equations: 1
% Current number of rules: 79
% New rule produced :
% [89]
% composition(composition(A,converse(B)),converse(C)) <->
% converse(composition(C,composition(B,converse(A))))
% Current number of equations to process: 143
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [90]
% converse(composition(C,composition(converse(B),A))) <->
% composition(composition(converse(A),B),converse(C))
% Current number of equations to process: 140
% Current number of ordered equations: 3
% Current number of rules: 81
% New rule produced :
% [91]
% converse(composition(composition(converse(C),B),A)) <->
% composition(converse(A),composition(converse(B),C))
% Current number of equations to process: 140
% Current number of ordered equations: 2
% Current number of rules: 82
% New rule produced :
% [92]
% composition(converse(A),composition(converse(B),C)) <->
% converse(composition(composition(converse(C),B),A))
% Current number of equations to process: 140
% Current number of ordered equations: 1
% Current number of rules: 83
% New rule produced :
% [93]
% composition(composition(converse(A),B),converse(C)) <->
% converse(composition(C,composition(converse(B),A)))
% Current number of equations to process: 140
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [94]
% composition(composition(A,converse(one)),converse(B)) ->
% composition(A,converse(B))
% Current number of equations to process: 147
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [95]
% converse(composition(composition(C,converse(B)),converse(A))) <->
% composition(A,composition(B,converse(C)))
% Current number of equations to process: 150
% Current number of ordered equations: 1
% Current number of rules: 86
% New rule produced :
% [96]
% composition(A,composition(B,converse(C))) <->
% converse(composition(composition(C,converse(B)),converse(A)))
% Current number of equations to process: 150
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [97]
% converse(composition(composition(converse(C),B),converse(A))) <->
% composition(A,composition(converse(B),C))
% Current number of equations to process: 149
% Current number of ordered equations: 1
% Current number of rules: 88
% New rule produced :
% [98]
% composition(A,composition(converse(B),C)) <->
% converse(composition(composition(converse(C),B),converse(A)))
% Current number of equations to process: 149
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [99]
% converse(composition(converse(C),composition(B,converse(A)))) <->
% composition(composition(A,converse(B)),C)
% Current number of equations to process: 148
% Current number of ordered equations: 1
% Current number of rules: 90
% New rule produced :
% [100]
% composition(composition(A,converse(B)),C) <->
% converse(composition(converse(C),composition(B,converse(A))))
% Current number of equations to process: 148
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [101]
% converse(composition(converse(C),composition(converse(B),A))) <->
% composition(composition(converse(A),B),C)
% Current number of equations to process: 147
% Current number of ordered equations: 1
% Current number of rules: 92
% New rule produced :
% [102]
% composition(composition(converse(A),B),C) <->
% converse(composition(converse(C),composition(converse(B),A)))
% Current number of equations to process: 147
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [103]
% converse(composition(composition(A,B),converse(C))) <->
% composition(composition(C,converse(B)),converse(A))
% Current number of equations to process: 162
% Current number of ordered equations: 1
% Current number of rules: 94
% New rule produced :
% [104]
% composition(composition(C,converse(B)),converse(A)) <->
% converse(composition(composition(A,B),converse(C)))
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [105]
% converse(composition(composition(A,converse(B)),converse(C))) <->
% composition(composition(C,B),converse(A))
% Current number of equations to process: 161
% Current number of ordered equations: 1
% Current number of rules: 96
% New rule produced :
% [106]
% composition(composition(C,B),converse(A)) <->
% converse(composition(composition(A,converse(B)),converse(C)))
% Current number of equations to process: 161
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [107]
% converse(composition(A,converse(composition(B,C)))) <->
% composition(B,converse(composition(A,converse(C))))
% Current number of equations to process: 177
% Current number of ordered equations: 1
% Current number of rules: 98
% New rule produced :
% [108]
% composition(B,converse(composition(A,converse(C)))) <->
% converse(composition(A,converse(composition(B,C))))
% Current number of equations to process: 177
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [109]
% converse(composition(A,converse(composition(B,converse(C))))) <->
% composition(B,converse(composition(A,C)))
% Current number of equations to process: 176
% Current number of ordered equations: 1
% Current number of rules: 100
% New rule produced :
% [110]
% composition(B,converse(composition(A,C))) <->
% converse(composition(A,converse(composition(B,converse(C)))))
% Current number of equations to process: 176
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [111]
% converse(composition(converse(composition(A,B)),C)) <->
% composition(converse(composition(converse(A),C)),B)
% Current number of equations to process: 191
% Current number of ordered equations: 1
% Current number of rules: 102
% New rule produced :
% [112]
% composition(converse(composition(converse(A),C)),B) <->
% converse(composition(converse(composition(A,B)),C))
% Current number of equations to process: 191
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [113]
% converse(composition(converse(composition(converse(A),B)),C)) <->
% composition(converse(composition(A,C)),B)
% Current number of equations to process: 190
% Current number of ordered equations: 1
% Current number of rules: 104
% New rule produced :
% [114]
% composition(converse(composition(A,C)),B) <->
% converse(composition(converse(composition(converse(A),B)),C))
% Current number of equations to process: 190
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [115]
% converse(composition(converse(A),composition(B,C))) <->
% composition(converse(C),composition(converse(B),A))
% Current number of equations to process: 210
% Current number of ordered equations: 1
% Current number of rules: 106
% New rule produced :
% [116]
% composition(converse(C),composition(converse(B),A)) <->
% converse(composition(converse(A),composition(B,C)))
% Current number of equations to process: 210
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [117]
% converse(composition(converse(A),composition(converse(B),C))) <->
% composition(converse(C),composition(B,A))
% Current number of equations to process: 211
% Current number of ordered equations: 1
% Current number of rules: 108
% New rule produced :
% [118]
% composition(converse(C),composition(B,A)) <->
% converse(composition(converse(A),composition(converse(B),C)))
% Current number of equations to process: 211
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [119]
% composition(A,complement(converse(A))) join complement(one) ->
% complement(one)
% Current number of equations to process: 731
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [120]
% converse(composition(converse(zero),top)) join complement(one) ->
% complement(one)
% Current number of equations to process: 730
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [121]
% complement(one) join complement(composition(converse(A),complement(A))) ->
% top
% Current number of equations to process: 732
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced : [122] zero join one -> one
% Current number of equations to process: 735
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [123]
% zero join composition(A,complement(composition(converse(A),top))) -> zero
% Current number of equations to process: 755
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [124]
% zero join complement(composition(converse(A),complement(composition(A,top))))
% -> top
% Current number of equations to process: 754
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [125] composition(top,A) join composition(B,A) -> composition(top,A)
% Rule [63] composition(zero,A) join composition(top,A) -> composition(top,A)
% collapsed.
% Current number of equations to process: 763
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced : [126] complement(zero) -> top
% Current number of equations to process: 765
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [127] complement(complement(A join A) join A) -> zero join zero
% Current number of equations to process: 784
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [128] complement(zero join A) join complement(B) join A -> top
% Current number of equations to process: 783
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced : [129] A join A <-> zero join A
% Current number of equations to process: 788
% Current number of ordered equations: 1
% Current number of rules: 119
% New rule produced : [130] zero join A <-> A join A
% The conjecture has been reduced.
% Conjecture is now:
% sk1 join sk1 = sk1
%
% Current number of equations to process: 788
% Current number of ordered equations: 0
% Current number of rules: 120
% Rule [127] complement(complement(A join A) join A) -> zero join zero is composed into
% [127] complement(complement(A join A) join A) -> zero
% New rule produced : [131] zero join zero -> zero
% Current number of equations to process: 796
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [132]
% converse(zero) join converse(complement(A join A)) -> converse(complement(A))
% Current number of equations to process: 794
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [133]
% converse(composition(converse(A),complement(A))) join complement(one) ->
% complement(one)
% Current number of equations to process: 793
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [134]
% composition(converse(A),complement(composition(A,complement(B)))) join B -> B
% Current number of equations to process: 792
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [135]
% complement(B join B) join complement(A) <->
% complement(A join A) join complement(B)
% Current number of equations to process: 791
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [136] complement(complement(A join A) join A join B) -> zero
% Current number of equations to process: 790
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [137]
% complement(complement(A) join B) join complement(A join B) -> complement(B)
% Rule
% [13]
% complement(complement(A) join complement(B)) join complement(complement(A) join B)
% -> A collapsed.
% Rule
% [55] complement(zero join complement(A)) join complement(zero join A) -> top
% collapsed.
% Current number of equations to process: 803
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [138] composition(A,B join C) -> composition(A,B) join composition(A,C)
% Rule
% [49]
% converse(composition(C,A join B)) ->
% converse(composition(C,A)) join converse(composition(C,B)) collapsed.
% Rule
% [50]
% composition(converse(A),converse(B) join converse(C)) ->
% converse(composition(B,A)) join converse(composition(C,A)) collapsed.
% Current number of equations to process: 811
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [139]
% composition(A,complement(composition(converse(A),complement(B)))) join B -> B
% Current number of equations to process: 854
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [140] converse(top) join complement(converse(A) join converse(B)) -> top
% Current number of equations to process: 863
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [141]
% composition(converse(B),complement(composition(B,top))) join complement(A) ->
% complement(A)
% Current number of equations to process: 875
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [142]
% converse(composition(converse(A),complement(A))) join converse(complement(one))
% -> converse(complement(one))
% Current number of equations to process: 878
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [143]
% complement(composition(A,complement(composition(converse(A),B)))) join
% complement(B) -> top
% Current number of equations to process: 875
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [144]
% complement(converse(complement(A join A)) join converse(A)) ->
% zero join complement(converse(top))
% Current number of equations to process: 873
% Current number of ordered equations: 0
% Current number of rules: 130
% Rule [144]
% complement(converse(complement(A join A)) join converse(A)) ->
% zero join complement(converse(top)) is composed into [144]
% complement(
% converse(complement(
% A join A)) join
% converse(A)) ->
% zero join complement(top)
% Rule [57] converse(complement(converse(A))) join A -> converse(top) is composed into
% [57] converse(complement(converse(A))) join A -> top
% Rule [52]
% converse(complement(A join B)) join converse(A) join converse(B) ->
% converse(top) is composed into [52]
% converse(complement(A join B)) join
% converse(A) join converse(B) -> top
% Rule [15] converse(complement(A)) join converse(A) -> converse(top) is composed into
% [15] converse(complement(A)) join converse(A) -> top
% New rule produced : [145] converse(top) -> top
% Rule [56] converse(top) join complement(converse(A)) -> top collapsed.
% Rule [60] converse(top) join converse(A) -> converse(top) collapsed.
% Rule [85] converse(top) join complement(converse(A) join B) join B -> top
% collapsed.
% Rule [140] converse(top) join complement(converse(A) join converse(B)) -> top
% collapsed.
% Current number of equations to process: 874
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced : [146] complement(zero join A) join A join B -> top
% Rule [128] complement(zero join A) join complement(B) join A -> top
% collapsed.
% Current number of equations to process: 878
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced : [147] zero join complement(zero join A) -> complement(A)
% Rule [53] zero join complement(zero join complement(A)) -> A collapsed.
% Current number of equations to process: 885
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [148] composition(converse(B),complement(composition(B,top))) join A -> A
% Rule
% [41]
% zero join composition(converse(A),complement(composition(A,top))) -> zero
% collapsed.
% Rule
% [141]
% composition(converse(B),complement(composition(B,top))) join complement(A) ->
% complement(A) collapsed.
% Current number of equations to process: 884
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced : [149] complement(zero join A) join A -> top
% Rule [146] complement(zero join A) join A join B -> top collapsed.
% Current number of equations to process: 884
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [150]
% converse(zero) join converse(complement(zero join complement(A))) ->
% converse(A)
% Current number of equations to process: 913
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced : [151] zero join A join A -> zero join A
% Current number of equations to process: 972
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [152]
% complement(zero join complement(A)) join complement(B) ->
% complement(B) join A
% Current number of equations to process: 970
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [153] converse(complement(converse(zero))) join complement(A) -> top
% Current number of equations to process: 1056
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced : [154] converse(one) -> one
% Rule [59] composition(converse(one),A) -> A collapsed.
% Rule
% [65]
% composition(A,converse(composition(B,converse(one)))) ->
% composition(A,converse(B)) collapsed.
% Rule
% [94]
% composition(composition(A,converse(one)),converse(B)) ->
% composition(A,converse(B)) collapsed.
% Current number of equations to process: 1071
% Current number of ordered equations: 0
% Current number of rules: 128
% Rule [67]
% composition(converse(B),A) <->
% converse(composition(converse(composition(one,A)),B)) is composed into
% [67] composition(converse(B),A) <-> converse(composition(converse(A),B))
% Rule [61]
% converse(composition(converse(A),B)) <->
% composition(converse(composition(one,B)),A) is composed into [61]
% converse(
% composition(
% converse(A),B))
% <->
% composition(
% converse(B),A)
% New rule produced : [155] composition(one,A) -> A
% Rule [20] composition(A,composition(one,B)) -> composition(A,B) collapsed.
% Rule
% [62]
% composition(converse(composition(one,B)),A) <->
% converse(composition(converse(A),B)) collapsed.
% Rule
% [66]
% converse(composition(converse(composition(one,A)),B)) <->
% composition(converse(B),A) collapsed.
% Rule
% [68]
% composition(A,composition(composition(one,B),C)) ->
% composition(A,composition(B,C)) collapsed.
% Current number of equations to process: 1070
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [156] composition(complement(one),A) join A -> composition(top,A)
% Current number of equations to process: 1069
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [157]
% converse(complement(converse(composition(A,B)))) join composition(top,B) ->
% top
% Current number of equations to process: 1213
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [158]
% converse(complement(converse(complement(A join A)))) join complement(A) ->
% top
% Current number of equations to process: 1212
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [159]
% converse(composition(top,A)) join converse(complement(composition(B,A))) ->
% top
% Current number of equations to process: 1211
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [160]
% composition(top,converse(A)) join complement(converse(composition(A,B))) ->
% top
% Current number of equations to process: 1210
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [161]
% composition(top,A) join complement(composition(B,composition(C,A))) -> top
% Current number of equations to process: 1209
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [162]
% converse(composition(A,top)) join complement(composition(B,converse(A))) ->
% top
% Current number of equations to process: 1208
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [163]
% composition(top,A) join complement(converse(composition(converse(A),B))) ->
% top
% Current number of equations to process: 1207
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [164]
% composition(B,converse(composition(converse(C),A))) <->
% composition(converse(composition(A,converse(B))),C)
% Current number of equations to process: 1206
% Current number of ordered equations: 1
% Current number of rules: 134
% New rule produced :
% [165]
% composition(converse(composition(A,converse(B))),C) <->
% composition(B,converse(composition(converse(C),A)))
% Current number of equations to process: 1206
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [166]
% converse(composition(composition(A,converse(B)),C)) <->
% composition(composition(converse(C),B),converse(A))
% Current number of equations to process: 1422
% Current number of ordered equations: 1
% Current number of rules: 136
% New rule produced :
% [167]
% composition(composition(converse(C),B),converse(A)) <->
% converse(composition(composition(A,converse(B)),C))
% Current number of equations to process: 1422
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [168]
% converse(composition(A,composition(converse(B),C))) <->
% composition(converse(C),composition(B,converse(A)))
% Current number of equations to process: 1537
% Current number of ordered equations: 1
% Current number of rules: 138
% New rule produced :
% [169]
% composition(converse(C),composition(B,converse(A))) <->
% converse(composition(A,composition(converse(B),C)))
% Current number of equations to process: 1537
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [170]
% converse(composition(converse(C),composition(B,converse(A)))) <->
% composition(A,composition(converse(B),C))
% Current number of equations to process: 2241
% Current number of ordered equations: 1
% Current number of rules: 140
% New rule produced :
% [171]
% composition(A,composition(converse(B),C)) <->
% converse(composition(converse(C),composition(B,converse(A))))
% Current number of equations to process: 2241
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [172]
% converse(composition(composition(converse(C),B),converse(A))) <->
% composition(composition(A,converse(B)),C)
% Current number of equations to process: 2240
% Current number of ordered equations: 1
% Current number of rules: 142
% New rule produced :
% [173]
% composition(composition(A,converse(B)),C) <->
% converse(composition(composition(converse(C),B),converse(A)))
% Current number of equations to process: 2240
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [174]
% complement(one) join complement(composition(A,complement(converse(A)))) ->
% top
% Current number of equations to process: 1690
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [175]
% complement(one) join complement(converse(composition(converse(zero),top))) ->
% top
% Current number of equations to process: 1764
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [176]
% converse(complement(one)) join composition(converse(zero),top) ->
% converse(complement(one))
% Current number of equations to process: 1763
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [177] composition(top,zero) join complement(one) -> complement(one)
% Current number of equations to process: 1766
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [178]
% converse(complement(composition(converse(zero),top))) join complement(one) ->
% top
% Current number of equations to process: 1765
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [179] complement(one) join complement(composition(top,zero)) -> top
% Current number of equations to process: 1780
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [180]
% complement(one) join complement(converse(composition(converse(A),complement(A))))
% -> top
% Current number of equations to process: 1787
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced : [181] one join converse(zero) -> one
% Current number of equations to process: 1847
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced : [182] composition(zero,A) join A -> A
% Current number of equations to process: 1849
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced : [183] one join converse(complement(one)) -> top
% Current number of equations to process: 1852
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [184] one join converse(complement(converse(zero))) -> top
% Current number of equations to process: 1861
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [185] one join complement(A join A) -> one join complement(A)
% Current number of equations to process: 1859
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [186] one join complement(zero join complement(A)) -> one join A
% Current number of equations to process: 1858
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [187]
% zero join composition(A,complement(converse(composition(top,A)))) -> zero
% Current number of equations to process: 1877
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [188]
% zero join complement(composition(A,complement(composition(converse(A),top))))
% -> top
% Current number of equations to process: 1878
% Current number of ordered equations: 0
% Current number of rules: 158
% Rule [144]
% complement(converse(complement(A join A)) join converse(A)) ->
% zero join complement(top) is composed into [144]
% complement(converse(complement(
% A join A)) join
% converse(A)) ->
% complement(top)
% Rule [129] A join A <-> zero join A is composed into [129] A join A -> A
% New rule produced : [189] zero join A -> A
% Rule [21] zero join top -> top collapsed.
% Rule [48] zero join complement(A join A) -> complement(A) collapsed.
% Rule [122] zero join one -> one collapsed.
% Rule
% [123]
% zero join composition(A,complement(composition(converse(A),top))) -> zero
% collapsed.
% Rule
% [124]
% zero join complement(composition(converse(A),complement(composition(A,top))))
% -> top collapsed.
% Rule [130] zero join A <-> A join A collapsed.
% Rule [131] zero join zero -> zero collapsed.
% Rule [147] zero join complement(zero join A) -> complement(A) collapsed.
% Rule [149] complement(zero join A) join A -> top collapsed.
% Rule
% [150]
% converse(zero) join converse(complement(zero join complement(A))) ->
% converse(A) collapsed.
% Rule [151] zero join A join A -> zero join A collapsed.
% Rule
% [152]
% complement(zero join complement(A)) join complement(B) ->
% complement(B) join A collapsed.
% Rule [186] one join complement(zero join complement(A)) -> one join A
% collapsed.
% Rule
% [187]
% zero join composition(A,complement(converse(composition(top,A)))) -> zero
% collapsed.
% Rule
% [188]
% zero join complement(composition(A,complement(composition(converse(A),top))))
% -> top collapsed.
% Current number of equations to process: 1890
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [190] composition(A,complement(composition(converse(A),top))) -> zero
% Current number of equations to process: 1890
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [191] composition(A,complement(converse(composition(top,A)))) -> zero
% Current number of equations to process: 1889
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced : [192] converse(zero) join converse(A) -> converse(A)
% Rule
% [132]
% converse(zero) join converse(complement(A join A)) -> converse(complement(A))
% collapsed.
% Current number of equations to process: 1888
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [193]
% complement(composition(converse(A),complement(composition(A,top)))) -> top
% Current number of equations to process: 1887
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [194] composition(converse(zero),top) join complement(one) -> complement(one)
% Current number of equations to process: 1983
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [195] complement(one) join complement(composition(converse(zero),top)) -> top
% Current number of equations to process: 1982
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [196] converse(composition(top,zero)) join complement(one) -> complement(one)
% Current number of equations to process: 2003
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [197]
% converse(composition(A,complement(converse(A)))) join complement(one) ->
% complement(one)
% Current number of equations to process: 2005
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [198]
% composition(top,A) join composition(B,composition(C,A)) -> composition(top,A)
% Current number of equations to process: 2010
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [199]
% converse(composition(converse(A),B)) join composition(top,A) ->
% composition(top,A)
% Current number of equations to process: 2009
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [200]
% converse(complement(one)) join composition(converse(A),complement(A)) ->
% converse(complement(one))
% Current number of equations to process: 2007
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [201]
% converse(complement(composition(converse(A),complement(A)))) join complement(one)
% -> top
% Current number of equations to process: 2006
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [202]
% converse(composition(top,A)) join converse(composition(B,A)) ->
% converse(composition(top,A))
% Current number of equations to process: 2115
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [203]
% converse(composition(A,B)) join composition(top,converse(A)) ->
% composition(top,converse(A))
% Current number of equations to process: 2114
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [204]
% converse(composition(A,top)) join composition(B,converse(A)) <->
% composition(top,converse(A))
% Current number of equations to process: 2113
% Current number of ordered equations: 1
% Current number of rules: 158
% Rule [204]
% converse(composition(A,top)) join composition(B,converse(A)) <->
% composition(top,converse(A)) is composed into [204]
% converse(composition(A,top)) join
% composition(B,converse(A))
% <->
% converse(composition(A,top)) join
% composition(sk1,converse(A))
% New rule produced :
% [205]
% composition(top,converse(A)) <->
% converse(composition(A,top)) join composition(B,converse(A))
% Rule
% [160]
% composition(top,converse(A)) join complement(converse(composition(A,B))) ->
% top collapsed.
% Rule
% [203]
% converse(composition(A,B)) join composition(top,converse(A)) ->
% composition(top,converse(A)) collapsed.
% Current number of equations to process: 2115
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [206] complement(complement(A join B) join complement(B)) -> B
% Current number of equations to process: 2258
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [207] complement(complement(complement(A) join B) join A) -> complement(A)
% Current number of equations to process: 2257
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [208]
% complement(converse(A) join complement(converse(complement(A)))) ->
% complement(converse(A))
% Current number of equations to process: 2294
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [209]
% complement(converse(complement(A)) join complement(converse(A))) ->
% complement(converse(complement(A)))
% Current number of equations to process: 2293
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [210]
% complement(complement(complement(A join B) join B) join A) -> complement(A)
% Current number of equations to process: 2332
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced : [211] complement(A join B) join B -> complement(A) join B
% Rule
% [54]
% complement(complement(A) join B) join B <->
% complement(complement(B) join A) join A collapsed.
% Rule [127] complement(complement(A join A) join A) -> zero collapsed.
% Rule [136] complement(complement(A join A) join A join B) -> zero collapsed.
% Rule
% [210]
% complement(complement(complement(A join B) join B) join A) -> complement(A)
% collapsed.
% Current number of equations to process: 2443
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [212]
% complement(complement(converse(complement(converse(A)))) join A) ->
% complement(A)
% Current number of equations to process: 2463
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [213]
% complement(converse(complement(converse(A))) join complement(A)) ->
% complement(converse(complement(converse(A))))
% Current number of equations to process: 2473
% Current number of ordered equations: 1
% Current number of rules: 161
% New rule produced :
% [214]
% converse(complement(converse(complement(A join B)))) join complement(B) ->
% top
% Rule
% [158]
% converse(complement(converse(complement(A join A)))) join complement(A) ->
% top collapsed.
% Current number of equations to process: 2473
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [215] complement(A join B) join complement(A) -> complement(A)
% Rule [206] complement(complement(A join B) join complement(B)) -> B
% collapsed.
% Current number of equations to process: 2524
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [216]
% composition(A,top) join composition(A,complement(B)) -> composition(A,top)
% Current number of equations to process: 2607
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [217]
% composition(A,complement(B)) join composition(A,B) -> composition(A,top)
% Current number of equations to process: 2606
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [218] composition(A,top) join composition(A,B) -> composition(A,top)
% Rule
% [216]
% composition(A,top) join composition(A,complement(B)) -> composition(A,top)
% collapsed.
% Current number of equations to process: 2647
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [219]
% complement(converse(complement(converse(complement(A)))) join A) ->
% complement(converse(complement(converse(complement(A)))))
% Current number of equations to process: 2783
% Current number of ordered equations: 1
% Current number of rules: 164
% New rule produced :
% [220]
% complement(complement(converse(complement(converse(A))) join B) join A) ->
% complement(A)
% Current number of equations to process: 2783
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [221]
% one join complement(composition(A,complement(converse(A)))) ->
% complement(composition(A,complement(converse(A))))
% Current number of equations to process: 2782
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [222]
% one join complement(converse(composition(converse(zero),top))) ->
% complement(converse(composition(converse(zero),top)))
% Current number of equations to process: 2781
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [223]
% complement(composition(top,A)) join complement(composition(B,A)) ->
% complement(composition(B,A))
% Current number of equations to process: 2780
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [224]
% converse(composition(top,zero)) join converse(complement(one)) ->
% converse(complement(one))
% Current number of equations to process: 2933
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [225] converse(complement(converse(A) join converse(B))) join A join B -> top
% Current number of equations to process: 2940
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [226]
% composition(converse(complement(converse(B))),A) join composition(B,A) ->
% composition(top,A)
% Current number of equations to process: 2939
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [227]
% converse(complement(composition(A,converse(B)))) join composition(B,converse(A))
% -> top
% Current number of equations to process: 2938
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [228]
% converse(complement(composition(converse(A),B))) join composition(converse(B),A)
% -> top
% Current number of equations to process: 2937
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [229]
% converse(complement(converse(composition(converse(A),complement(A))))) join
% complement(one) -> top
% Current number of equations to process: 2936
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [230]
% converse(composition(A,top)) join composition(sk1,converse(A)) join complement(
% converse(
% composition(A,
% converse(B))))
% -> top
% Current number of equations to process: 2933
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [231]
% converse(composition(A,complement(converse(A)))) join converse(complement(one))
% -> converse(complement(one))
% Current number of equations to process: 2931
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [232]
% converse(complement(converse(composition(A,complement(converse(A)))))) join
% complement(one) -> top
% Current number of equations to process: 2930
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [233]
% converse(complement(one)) join converse(complement(composition(converse(A),
% complement(A)))) -> top
% Current number of equations to process: 2927
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [234]
% complement(composition(converse(A),complement(composition(A,complement(B))))) join B
% -> top
% Current number of equations to process: 2922
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [235]
% complement(converse(A) join complement(converse(complement(A)) join B)) ->
% complement(converse(A))
% Current number of equations to process: 2920
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [236]
% complement(one join complement(composition(converse(A),complement(A)))) ->
% composition(converse(A),complement(A))
% Current number of equations to process: 2916
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [237]
% composition(A,converse(complement(B))) join composition(A,converse(B)) ->
% composition(A,top)
% Current number of equations to process: 2915
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [238]
% composition(A,converse(complement(converse(B)))) join composition(A,B) ->
% composition(A,top)
% Current number of equations to process: 2914
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [239]
% complement(composition(A,complement(composition(converse(A),complement(B))))) join B
% -> top
% Current number of equations to process: 2913
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [240]
% composition(A,complement(converse(composition(converse(complement(B)),A)))) join B
% -> B
% Current number of equations to process: 2912
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [241]
% converse(complement(one)) join complement(converse(composition(converse(A),
% complement(A)))) -> top
% Current number of equations to process: 2911
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [242]
% converse(composition(converse(zero),top)) join converse(complement(one)) ->
% converse(complement(one))
% Current number of equations to process: 2953
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [243]
% complement(composition(converse(A),complement(composition(A,B)))) join
% complement(B) -> top
% Current number of equations to process: 3009
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [244] composition(converse(A),top) -> converse(composition(top,A))
% Rule
% [120]
% converse(composition(converse(zero),top)) join complement(one) ->
% complement(one) collapsed.
% Rule
% [175]
% complement(one) join complement(converse(composition(converse(zero),top))) ->
% top collapsed.
% Rule
% [176]
% converse(complement(one)) join composition(converse(zero),top) ->
% converse(complement(one)) collapsed.
% Rule
% [178]
% converse(complement(composition(converse(zero),top))) join complement(one) ->
% top collapsed.
% Rule [190] composition(A,complement(composition(converse(A),top))) -> zero
% collapsed.
% Rule
% [194] composition(converse(zero),top) join complement(one) -> complement(one)
% collapsed.
% Rule
% [195] complement(one) join complement(composition(converse(zero),top)) -> top
% collapsed.
% Rule
% [222]
% one join complement(converse(composition(converse(zero),top))) ->
% complement(converse(composition(converse(zero),top))) collapsed.
% Rule
% [242]
% converse(composition(converse(zero),top)) join converse(complement(one)) ->
% converse(complement(one)) collapsed.
% Current number of equations to process: 3127
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [245] complement(one) join complement(converse(composition(top,zero))) -> top
% Current number of equations to process: 3166
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [246]
% composition(A,converse(composition(B,top))) <->
% composition(composition(A,top),converse(B))
% Current number of equations to process: 3164
% Current number of ordered equations: 2
% Current number of rules: 182
% New rule produced :
% [247]
% composition(composition(A,converse(B)),top) ->
% composition(A,converse(composition(top,B)))
% Current number of equations to process: 3164
% Current number of ordered equations: 1
% Current number of rules: 183
% New rule produced :
% [248]
% composition(composition(A,top),converse(B)) <->
% composition(A,converse(composition(B,top)))
% Current number of equations to process: 3164
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [249]
% composition(converse(A),composition(top,B)) <->
% composition(converse(composition(top,A)),B)
% Current number of equations to process: 3162
% Current number of ordered equations: 2
% Current number of rules: 185
% New rule produced :
% [250]
% composition(top,composition(converse(A),B)) ->
% composition(converse(composition(A,top)),B)
% Current number of equations to process: 3162
% Current number of ordered equations: 1
% Current number of rules: 186
% New rule produced :
% [251]
% composition(converse(composition(top,A)),B) <->
% composition(converse(A),composition(top,B))
% Current number of equations to process: 3162
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [252]
% converse(complement(converse(composition(top,zero)))) join complement(one) ->
% top
% Current number of equations to process: 3156
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [253] composition(top,complement(composition(top,complement(A)))) join A -> A
% Current number of equations to process: 3155
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [254]
% composition(top,complement(composition(top,A))) join complement(A) ->
% complement(A)
% Current number of equations to process: 3154
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [255]
% converse(composition(composition(B,top),converse(A))) <->
% composition(composition(A,top),converse(B))
% Current number of equations to process: 3149
% Current number of ordered equations: 1
% Current number of rules: 191
% New rule produced :
% [256]
% composition(composition(A,top),converse(B)) <->
% converse(composition(composition(B,top),converse(A)))
% Current number of equations to process: 3149
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [257]
% converse(composition(B,converse(composition(A,top)))) <->
% composition(A,converse(composition(B,top)))
% Current number of equations to process: 3147
% Current number of ordered equations: 1
% Current number of rules: 193
% New rule produced :
% [258]
% composition(A,converse(composition(B,top))) <->
% converse(composition(B,converse(composition(A,top))))
% Current number of equations to process: 3147
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [259]
% converse(composition(converse(composition(top,B)),A)) <->
% composition(converse(composition(top,A)),B)
% Current number of equations to process: 3145
% Current number of ordered equations: 1
% Current number of rules: 195
% New rule produced :
% [260]
% composition(converse(composition(top,A)),B) <->
% converse(composition(converse(composition(top,B)),A))
% Current number of equations to process: 3145
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [261]
% converse(composition(converse(B),composition(top,A))) <->
% composition(converse(A),composition(top,B))
% Current number of equations to process: 3142
% Current number of ordered equations: 1
% Current number of rules: 197
% New rule produced :
% [262]
% composition(converse(A),composition(top,B)) <->
% converse(composition(converse(B),composition(top,A)))
% Current number of equations to process: 3142
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [263]
% converse(complement(one)) join composition(top,zero) ->
% converse(complement(one))
% Current number of equations to process: 3140
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [264]
% converse(composition(sk1,converse(A))) join composition(A,top) ->
% composition(A,top)
% Current number of equations to process: 3139
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [265]
% complement(composition(top,complement(composition(top,A)))) join complement(A)
% -> top
% Current number of equations to process: 3137
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [266]
% converse(complement(converse(composition(converse(A),complement(composition(A,top))))))
% -> top
% Current number of equations to process: 3136
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [267] composition(top,complement(composition(top,top))) join A -> A
% Current number of equations to process: 3149
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [268] converse(complement(A)) join complement(converse(zero)) -> top
% Current number of equations to process: 3152
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced : [269] converse(complement(converse(zero))) join A -> top
% Rule [153] converse(complement(converse(zero))) join complement(A) -> top
% collapsed.
% Rule [184] one join converse(complement(converse(zero))) -> top collapsed.
% Current number of equations to process: 3156
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [270] converse(complement(one)) join complement(one) -> complement(one)
% Current number of equations to process: 3159
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced : [271] composition(top,A) join complement(A) -> top
% Current number of equations to process: 3160
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced : [272] composition(top,A) join A -> composition(top,A)
% Current number of equations to process: 3161
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [273] converse(complement(converse(A))) join composition(top,A) -> top
% Current number of equations to process: 3160
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced : [274] composition(top,top) join complement(A) -> top
% Current number of equations to process: 3165
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced : [275] composition(top,complement(A)) join A -> top
% Current number of equations to process: 3167
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [276] converse(composition(complement(A),top)) join converse(A) -> top
% Current number of equations to process: 3185
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced : [277] composition(top,top) -> top
% Rule [267] composition(top,complement(composition(top,top))) join A -> A
% collapsed.
% Rule [274] composition(top,top) join complement(A) -> top collapsed.
% Current number of equations to process: 3194
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced : [278] composition(top,zero) join A -> A
% Rule [177] composition(top,zero) join complement(one) -> complement(one)
% collapsed.
% Rule
% [263]
% converse(complement(one)) join composition(top,zero) ->
% converse(complement(one)) collapsed.
% Current number of equations to process: 3192
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [279]
% composition(top,composition(complement(one),A)) join A -> composition(top,A)
% Current number of equations to process: 3267
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [280]
% converse(composition(complement(one),A)) join converse(A) ->
% converse(composition(top,A))
% Current number of equations to process: 3266
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [281]
% composition(converse(A),complement(composition(A,top))) <->
% composition(converse(B),complement(composition(B,top)))
% Current number of equations to process: 3271
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [282] one join converse(complement(one join A)) join converse(A) -> top
% Current number of equations to process: 3269
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [283]
% composition(top,composition(top,A)) join complement(composition(B,A)) -> top
% Current number of equations to process: 3266
% Current number of ordered equations: 1
% Current number of rules: 213
% New rule produced :
% [284]
% composition(top,complement(composition(A,B))) join composition(top,B) -> top
% Current number of equations to process: 3266
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [285]
% converse(complement(composition(converse(A),B))) join composition(top,A) ->
% top
% Current number of equations to process: 3264
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [286]
% one join complement(composition(top,zero)) ->
% complement(composition(top,zero))
% Current number of equations to process: 3263
% Current number of ordered equations: 0
% Current number of rules: 216
% Rule [204]
% converse(composition(A,top)) join composition(B,converse(A)) <->
% converse(composition(A,top)) join composition(sk1,converse(A)) is composed into
% [204]
% converse(composition(A,top)) join composition(B,converse(A)) ->
% converse(composition(A,top))
% New rule produced :
% [287]
% converse(composition(A,top)) join composition(sk1,converse(A)) ->
% converse(composition(A,top))
% Rule
% [230]
% converse(composition(A,top)) join composition(sk1,converse(A)) join complement(
% converse(
% composition(A,
% converse(B))))
% -> top collapsed.
% Current number of equations to process: 3263
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [288]
% composition(complement(converse(A)),complement(composition(A,top))) ->
% composition(top,complement(composition(A,top)))
% Current number of equations to process: 3262
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [289]
% converse(composition(top,A)) join complement(converse(composition(B,A))) ->
% top
% Current number of equations to process: 3303
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [290]
% converse(composition(A,top)) join converse(complement(composition(A,B))) ->
% top
% Current number of equations to process: 3302
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [291]
% converse(complement(converse(composition(A,B)))) join composition(A,top) ->
% top
% Current number of equations to process: 3407
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [292]
% converse(complement(composition(A,converse(B)))) join composition(B,top) ->
% top
% Current number of equations to process: 3406
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced :
% [293] converse(composition(top,A)) join converse(complement(A)) -> top
% Current number of equations to process: 3466
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced :
% [294]
% converse(composition(A,top)) join complement(converse(composition(A,B))) ->
% top
% Current number of equations to process: 3628
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced :
% [295] converse(composition(A,top)) join complement(converse(A)) -> top
% Current number of equations to process: 3696
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [296]
% converse(complement(one)) join converse(complement(composition(top,zero))) ->
% top
% Current number of equations to process: 2861
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced :
% [297]
% composition(top,complement(composition(top,zero))) join complement(one) ->
% top
% Current number of equations to process: 2859
% Current number of ordered equations: 1
% Current number of rules: 226
% New rule produced :
% [298]
% composition(top,complement(one)) join complement(composition(top,zero)) ->
% top
% Current number of equations to process: 2859
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced :
% [299]
% complement(one) join complement(converse(composition(A,complement(converse(A)))))
% -> top
% Current number of equations to process: 2876
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced :
% [300] complement(one) join complement(converse(complement(one))) -> top
% Current number of equations to process: 2932
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced : [301] one join complement(converse(zero)) -> top
% Current number of equations to process: 2944
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced : [302] composition(converse(zero),A) join A -> A
% Current number of equations to process: 2945
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced : [303] composition(A,converse(zero)) join A -> A
% Current number of equations to process: 2963
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced :
% [304]
% complement(one) join complement(converse(zero)) -> complement(converse(zero))
% Current number of equations to process: 2966
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced :
% [305] converse(complement(converse(composition(zero,A)))) join A -> top
% Current number of equations to process: 2969
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced : [306] complement(composition(zero,A)) join A -> top
% Current number of equations to process: 2970
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced :
% [307] converse(composition(zero,A)) join converse(A) -> converse(A)
% Current number of equations to process: 2980
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced : [308] one join composition(zero,converse(zero)) -> one
% Current number of equations to process: 3022
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced : [309] composition(zero,composition(zero,A)) join A -> A
% Current number of equations to process: 3021
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced : [310] complement(converse(complement(one))) -> one
% Rule [300] complement(one) join complement(converse(complement(one))) -> top
% collapsed.
% Current number of equations to process: 3038
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced :
% [311] one join converse(composition(complement(one),top)) -> top
% Current number of equations to process: 3040
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced :
% [312] composition(converse(complement(one)),A) join A -> composition(top,A)
% Current number of equations to process: 3039
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [313]
% complement(converse(complement(one)) join A) ->
% complement(complement(one) join A)
% Current number of equations to process: 3038
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced :
% [314] composition(A,converse(complement(one))) join A -> composition(A,top)
% Current number of equations to process: 3037
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced :
% [315] converse(composition(A,converse(zero))) join converse(A) -> converse(A)
% Current number of equations to process: 3036
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced :
% [316]
% complement(composition(zero,A)) join complement(A) ->
% complement(composition(zero,A))
% Current number of equations to process: 3035
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [317]
% complement(one join A) join complement(converse(zero)) ->
% complement(converse(zero))
% Current number of equations to process: 3034
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [318]
% complement(composition(zero,complement(A))) join A ->
% complement(composition(zero,complement(A)))
% Current number of equations to process: 3033
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced : [319] converse(complement(converse(zero))) -> top
% Rule [269] converse(complement(converse(zero))) join A -> top collapsed.
% Current number of equations to process: 3032
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [320] composition(converse(A),complement(composition(A,top))) -> zero
% Rule
% [148] composition(converse(B),complement(composition(B,top))) join A -> A
% collapsed.
% Rule
% [193]
% complement(composition(converse(A),complement(composition(A,top)))) -> top
% collapsed.
% Rule
% [266]
% converse(complement(converse(composition(converse(A),complement(composition(A,top))))))
% -> top collapsed.
% Rule
% [281]
% composition(converse(A),complement(composition(A,top))) <->
% composition(converse(B),complement(composition(B,top))) collapsed.
% Current number of equations to process: 3031
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced :
% [321] composition(complement(one),zero) -> composition(top,zero)
% Current number of equations to process: 3034
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced : [322] composition(zero,zero) -> zero
% Current number of equations to process: 3034
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [323] composition(zero,B) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 3032
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [324] composition(A,zero) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 3031
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced : [325] converse(A) join complement(converse(zero)) -> top
% Rule [268] converse(complement(A)) join complement(converse(zero)) -> top
% collapsed.
% Current number of equations to process: 3071
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [326]
% converse(composition(converse(B),A)) <->
% converse(zero) join composition(converse(A),B)
% Current number of equations to process: 3069
% Current number of ordered equations: 1
% Current number of rules: 248
% New rule produced :
% [327]
% converse(zero) join composition(converse(A),B) <->
% converse(composition(converse(B),A))
% Current number of equations to process: 3069
% Current number of ordered equations: 0
% Current number of rules: 249
% Rule [326]
% converse(composition(converse(B),A)) <->
% converse(zero) join composition(converse(A),B) is composed into
% [326] converse(composition(converse(B),A)) <-> composition(converse(A),B)
% New rule produced : [328] converse(zero) join A -> A
% Rule [181] one join converse(zero) -> one collapsed.
% Rule [192] converse(zero) join converse(A) -> converse(A) collapsed.
% Rule
% [327]
% converse(zero) join composition(converse(A),B) <->
% converse(composition(converse(B),A)) collapsed.
% Current number of equations to process: 3070
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [329] converse(complement(composition(top,zero))) join complement(one) -> top
% Current number of equations to process: 3073
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [330]
% one join complement(converse(composition(top,zero))) ->
% complement(converse(composition(top,zero)))
% Current number of equations to process: 3095
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced :
% [331] converse(complement(composition(A,zero))) join complement(one) -> top
% Rule
% [329] converse(complement(composition(top,zero))) join complement(one) -> top
% collapsed.
% Current number of equations to process: 3098
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced :
% [332]
% composition(zero,complement(A join B)) join complement(B) -> complement(B)
% Current number of equations to process: 3097
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [333]
% composition(composition(zero,A),B) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 3095
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced :
% [334]
% composition(A,composition(zero,B)) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 3094
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [335]
% composition(composition(A,B),complement(converse(composition(top,B)))) ->
% composition(A,zero)
% Current number of equations to process: 3092
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced :
% [336]
% composition(B,composition(complement(converse(composition(top,B))),A)) ->
% composition(zero,A)
% Current number of equations to process: 3091
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [337]
% converse(complement(one)) join composition(A,complement(converse(A))) ->
% converse(complement(one))
% Current number of equations to process: 3171
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [338]
% converse(complement(composition(A,complement(converse(A))))) join complement(one)
% -> top
% Current number of equations to process: 3170
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [339]
% complement(A join B) join complement(composition(zero,A)) ->
% complement(composition(zero,A))
% Current number of equations to process: 3199
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced :
% [340]
% composition(top,complement(converse(composition(top,complement(one))))) ->
% complement(converse(composition(top,complement(one))))
% Current number of equations to process: 3195
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced :
% [341]
% converse(composition(top,zero)) join composition(top,complement(one)) ->
% composition(top,complement(one))
% Current number of equations to process: 3194
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [342] composition(top,composition(top,A)) -> composition(top,A)
% Rule
% [283]
% composition(top,composition(top,A)) join complement(composition(B,A)) -> top
% collapsed.
% Current number of equations to process: 3330
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [343]
% converse(complement(one)) join complement(composition(converse(A),complement(A)))
% -> top
% Current number of equations to process: 3438
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced :
% [344]
% converse(composition(A,top)) join converse(composition(A,B)) ->
% converse(composition(A,top))
% Current number of equations to process: 3437
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced :
% [345]
% converse(composition(top,A)) join composition(converse(A),B) ->
% converse(composition(top,A))
% Current number of equations to process: 3436
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced : [346] converse(complement(one)) -> complement(one)
% Rule
% [142]
% converse(composition(converse(A),complement(A))) join converse(complement(one))
% -> converse(complement(one)) collapsed.
% Rule [183] one join converse(complement(one)) -> top collapsed.
% Rule
% [200]
% converse(complement(one)) join composition(converse(A),complement(A)) ->
% converse(complement(one)) collapsed.
% Rule
% [224]
% converse(composition(top,zero)) join converse(complement(one)) ->
% converse(complement(one)) collapsed.
% Rule
% [231]
% converse(composition(A,complement(converse(A)))) join converse(complement(one))
% -> converse(complement(one)) collapsed.
% Rule
% [233]
% converse(complement(one)) join converse(complement(composition(converse(A),
% complement(A)))) -> top
% collapsed.
% Rule
% [241]
% converse(complement(one)) join complement(converse(composition(converse(A),
% complement(A)))) -> top
% collapsed.
% Rule [270] converse(complement(one)) join complement(one) -> complement(one)
% collapsed.
% Rule
% [296]
% converse(complement(one)) join converse(complement(composition(top,zero))) ->
% top collapsed.
% Rule [310] complement(converse(complement(one))) -> one collapsed.
% Rule
% [312] composition(converse(complement(one)),A) join A -> composition(top,A)
% collapsed.
% Rule
% [313]
% complement(converse(complement(one)) join A) ->
% complement(complement(one) join A) collapsed.
% Rule
% [314] composition(A,converse(complement(one))) join A -> composition(A,top)
% collapsed.
% Rule
% [337]
% converse(complement(one)) join composition(A,complement(converse(A))) ->
% converse(complement(one)) collapsed.
% Rule
% [343]
% converse(complement(one)) join complement(composition(converse(A),complement(A)))
% -> top collapsed.
% Current number of equations to process: 3510
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [347] composition(A,complement(one)) join A -> composition(A,top)
% Current number of equations to process: 3508
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced :
% [348]
% one join complement(composition(converse(A),complement(A))) ->
% complement(composition(converse(A),complement(A)))
% Rule
% [236]
% complement(one join complement(composition(converse(A),complement(A)))) ->
% composition(converse(A),complement(A)) collapsed.
% Current number of equations to process: 3509
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced :
% [349]
% converse(composition(A,converse(B))) join composition(B,top) ->
% composition(B,top)
% Rule
% [264]
% converse(composition(sk1,converse(A))) join composition(A,top) ->
% composition(A,top) collapsed.
% Current number of equations to process: 3606
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced :
% [350]
% converse(composition(top,A)) join converse(A) -> converse(composition(top,A))
% Current number of equations to process: 3682
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [351] converse(composition(A,zero)) join complement(one) -> complement(one)
% Rule
% [196] converse(composition(top,zero)) join complement(one) -> complement(one)
% collapsed.
% Current number of equations to process: 3692
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [352]
% converse(composition(A,top)) join converse(A) -> converse(composition(A,top))
% Current number of equations to process: 3768
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced : [353] complement(complement(A) join B) join A -> A
% Rule
% [207] complement(complement(complement(A) join B) join A) -> complement(A)
% collapsed.
% Current number of equations to process: 3819
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced :
% [354] converse(A) join complement(converse(complement(A))) -> converse(A)
% Rule
% [208]
% complement(converse(A) join complement(converse(complement(A)))) ->
% complement(converse(A)) collapsed.
% Current number of equations to process: 3820
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced :
% [355]
% converse(complement(A)) join complement(converse(A)) ->
% converse(complement(A))
% Rule
% [209]
% complement(converse(complement(A)) join complement(converse(A))) ->
% complement(converse(complement(A))) collapsed.
% Current number of equations to process: 3821
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced :
% [356] complement(converse(complement(converse(A)))) join A -> A
% Rule
% [212]
% complement(complement(converse(complement(converse(A)))) join A) ->
% complement(A) collapsed.
% Current number of equations to process: 3891
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced :
% [357]
% converse(complement(converse(A))) join complement(A) ->
% converse(complement(converse(A)))
% Rule
% [213]
% complement(converse(complement(converse(A))) join complement(A)) ->
% complement(converse(complement(converse(A)))) collapsed.
% Current number of equations to process: 3895
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced :
% [358] complement(converse(complement(converse(A))) join B) join A -> A
% Rule
% [220]
% complement(complement(converse(complement(converse(A))) join B) join A) ->
% complement(A) collapsed.
% Current number of equations to process: 4005
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced :
% [359]
% converse(A) join complement(converse(complement(A)) join B) -> converse(A)
% Rule
% [235]
% complement(converse(A) join complement(converse(complement(A)) join B)) ->
% complement(converse(A)) collapsed.
% Current number of equations to process: 4142
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced :
% [360]
% complement(composition(complement(one),A)) join A ->
% complement(composition(top,A)) join A
% Current number of equations to process: 4141
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [361] complement(composition(zero,A) join B) join A -> complement(B) join A
% Current number of equations to process: 4139
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced :
% [362]
% converse(complement(A)) join complement(converse(A) join B) ->
% converse(complement(A))
% Current number of equations to process: 4160
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [363]
% converse(complement(converse(complement(complement(A) join B)))) join A ->
% top
% Current number of equations to process: 4159
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [364]
% converse(complement(converse(A))) join complement(A join B) ->
% converse(complement(converse(A)))
% Current number of equations to process: 4158
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [365]
% converse(complement(A join B)) join converse(B) ->
% converse(complement(A)) join converse(B)
% Rule
% [52] converse(complement(A join B)) join converse(A) join converse(B) -> top
% collapsed.
% Rule
% [144]
% complement(converse(complement(A join A)) join converse(A)) ->
% complement(top) collapsed.
% Rule [282] one join converse(complement(one join A)) join converse(A) -> top
% collapsed.
% Current number of equations to process: 4157
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [366]
% converse(complement(A)) join complement(converse(complement(A join B))) ->
% top
% Current number of equations to process: 4187
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [367]
% converse(complement(converse(complement(composition(top,A))))) join complement(A)
% -> top
% Current number of equations to process: 4270
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [368]
% converse(complement(converse(complement(A)))) join complement(composition(zero,A))
% -> top
% Current number of equations to process: 4299
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced :
% [369] complement(composition(top,A)) join complement(A) -> complement(A)
% Current number of equations to process: 4469
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced :
% [370]
% complement(composition(top,A) join B) join complement(A) -> complement(A)
% Current number of equations to process: 4526
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [371] composition(A,top) join complement(composition(A,B)) -> top
% Current number of equations to process: 4551
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced :
% [372]
% composition(A,converse(A)) join complement(one) ->
% composition(A,top) join complement(one)
% Current number of equations to process: 4701
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced :
% [373] composition(zero,complement(A)) join A -> composition(zero,top) join A
% Current number of equations to process: 4751
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced :
% [374]
% composition(zero,top) join complement(A) <->
% composition(zero,A) join complement(A)
% Current number of equations to process: 4750
% Current number of ordered equations: 1
% Current number of rules: 263
% New rule produced :
% [375]
% composition(zero,A) join complement(A) <->
% composition(zero,top) join complement(A)
% Current number of equations to process: 4750
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced : [376] composition(A,top) join A -> composition(A,top)
% Current number of equations to process: 4817
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced :
% [377]
% composition(top,composition(complement(one),top)) ->
% composition(complement(one),top)
% Current number of equations to process: 4910
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced :
% [378]
% converse(complement(A join B)) join converse(complement(A)) ->
% converse(complement(A))
% Current number of equations to process: 4938
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [379]
% converse(composition(A,top)) join composition(top,complement(converse(A))) ->
% top
% Current number of equations to process: 4937
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced :
% [380]
% composition(converse(A),A) join complement(one) ->
% converse(composition(top,A)) join complement(one)
% Current number of equations to process: 4935
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [381]
% composition(zero,composition(A,B)) join composition(A,top) ->
% composition(A,top)
% Current number of equations to process: 4934
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [382]
% composition(composition(A,B),C) join composition(A,top) -> composition(A,top)
% Current number of equations to process: 4933
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced : [383] complement(converse(zero)) -> top
% Rule [301] one join complement(converse(zero)) -> top collapsed.
% Rule
% [304]
% complement(one) join complement(converse(zero)) -> complement(converse(zero))
% collapsed.
% Rule
% [317]
% complement(one join A) join complement(converse(zero)) ->
% complement(converse(zero)) collapsed.
% Rule [319] converse(complement(converse(zero))) -> top collapsed.
% Rule [325] converse(A) join complement(converse(zero)) -> top collapsed.
% Current number of equations to process: 4933
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [384]
% converse(complement(converse(complement(A)))) join A ->
% converse(complement(converse(complement(A))))
% Rule
% [219]
% complement(converse(complement(converse(complement(A)))) join A) ->
% complement(converse(complement(converse(complement(A))))) collapsed.
% Current number of equations to process: 4933
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [385]
% composition(top,A) join complement(A join B) ->
% composition(top,A) join complement(B)
% Current number of equations to process: 3189
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced :
% [386]
% complement(complement(composition(top,zero)) join A) join complement(one) ->
% complement(one)
% Current number of equations to process: 3188
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [387]
% composition(top,complement(A)) join complement(A join B) ->
% composition(top,complement(A))
% Current number of equations to process: 3186
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [388]
% complement(composition(A,top)) join complement(composition(A,B)) ->
% complement(composition(A,B))
% Current number of equations to process: 3185
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced :
% [389]
% composition(top,A) join composition(complement(one),top) ->
% composition(complement(one),top) join A
% Current number of equations to process: 3183
% Current number of ordered equations: 0
% Current number of rules: 272
% New rule produced :
% [390] complement(one) join complement(composition(A,zero)) -> top
% Rule [179] complement(one) join complement(composition(top,zero)) -> top
% collapsed.
% Current number of equations to process: 3320
% Current number of ordered equations: 0
% Current number of rules: 272
% New rule produced :
% [391] one join converse(complement(one join converse(A))) join A -> top
% Current number of equations to process: 3480
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [392]
% converse(complement(composition(A,converse(zero)))) join converse(A) -> top
% Current number of equations to process: 4042
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced :
% [393]
% complement(composition(top,complement(composition(top,complement(A))))) join A
% -> top
% Current number of equations to process: 4678
% Current number of ordered equations: 0
% Current number of rules: 275
% New rule produced :
% [394]
% converse(composition(complement(A),top)) join converse(composition(A,top)) ->
% top
% Current number of equations to process: 4763
% Current number of ordered equations: 0
% Current number of rules: 276
% New rule produced :
% [395]
% converse(composition(complement(converse(A)),top)) join composition(top,A) ->
% top
% Current number of equations to process: 1702
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced :
% [396]
% converse(composition(composition(A,top),top)) -> converse(composition(A,top))
% Current number of equations to process: 2804
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced :
% [397] composition(composition(A,top),top) -> composition(A,top)
% Rule
% [396]
% converse(composition(composition(A,top),top)) -> converse(composition(A,top))
% collapsed.
% Current number of equations to process: 2944
% Current number of ordered equations: 0
% Current number of rules: 278
% Rule [321] composition(complement(one),zero) -> composition(top,zero) is composed into
% [321] composition(complement(one),zero) -> zero
% New rule produced : [398] composition(top,zero) -> zero
% Rule
% [245] complement(one) join complement(converse(composition(top,zero))) -> top
% collapsed.
% Rule
% [252]
% converse(complement(converse(composition(top,zero)))) join complement(one) ->
% top collapsed.
% Rule [278] composition(top,zero) join A -> A collapsed.
% Rule
% [286]
% one join complement(composition(top,zero)) ->
% complement(composition(top,zero)) collapsed.
% Rule
% [297]
% composition(top,complement(composition(top,zero))) join complement(one) ->
% top collapsed.
% Rule
% [298]
% composition(top,complement(one)) join complement(composition(top,zero)) ->
% top collapsed.
% Rule
% [330]
% one join complement(converse(composition(top,zero))) ->
% complement(converse(composition(top,zero))) collapsed.
% Rule
% [341]
% converse(composition(top,zero)) join composition(top,complement(one)) ->
% composition(top,complement(one)) collapsed.
% Rule
% [386]
% complement(complement(composition(top,zero)) join A) join complement(one) ->
% complement(one) collapsed.
% Current number of equations to process: 3427
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [399] composition(B,complement(composition(top,complement(A)))) join A -> A
% Rule
% [253] composition(top,complement(composition(top,complement(A)))) join A -> A
% collapsed.
% Current number of equations to process: 3469
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [400]
% composition(B,complement(composition(top,A))) join complement(A) ->
% complement(A)
% Rule
% [254]
% composition(top,complement(composition(top,A))) join complement(A) ->
% complement(A) collapsed.
% Current number of equations to process: 3494
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [401]
% converse(composition(top,A)) join composition(complement(converse(A)),top) ->
% top
% Current number of equations to process: 3618
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced :
% [402]
% complement(composition(A,complement(composition(top,complement(B))))) join B
% -> top
% Rule
% [393]
% complement(composition(top,complement(composition(top,complement(A))))) join A
% -> top collapsed.
% Current number of equations to process: 3615
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced :
% [403]
% complement(composition(A,complement(composition(top,B)))) join complement(B)
% -> top
% Rule
% [265]
% complement(composition(top,complement(composition(top,A)))) join complement(A)
% -> top collapsed.
% Current number of equations to process: 3614
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced :
% [404] converse(composition(A,top)) join converse(complement(A)) -> top
% Current number of equations to process: 4785
% Current number of ordered equations: 0
% Current number of rules: 272
% New rule produced :
% [405] converse(composition(top,A)) join complement(converse(A)) -> top
% Current number of equations to process: 4793
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [406] converse(composition(top,complement(A))) join converse(A) -> top
% Current number of equations to process: 4875
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced :
% [407] composition(top,complement(composition(zero,A))) join A -> top
% Current number of equations to process: 4950
% Current number of ordered equations: 0
% Current number of rules: 275
% New rule produced :
% [408] complement(composition(top,complement(A))) join A -> A
% Current number of equations to process: 4981
% Current number of ordered equations: 0
% Current number of rules: 276
% New rule produced :
% [409] complement(composition(top,complement(A)) join B) join A -> A
% Current number of equations to process: 1112
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced : [410] composition(complement(A),top) join A -> top
% Current number of equations to process: 1120
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced :
% [411] converse(composition(complement(converse(A)),top)) join A -> top
% Current number of equations to process: 1119
% Current number of ordered equations: 0
% Current number of rules: 279
% New rule produced :
% [412]
% composition(composition(A,top),composition(top,B)) ->
% composition(A,composition(top,B))
% Current number of equations to process: 1221
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced :
% [413]
% converse(A) join complement(converse(composition(complement(A),top))) ->
% converse(A)
% Current number of equations to process: 1219
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced :
% [414]
% composition(composition(top,complement(one)),A) join A -> composition(top,A)
% Current number of equations to process: 1240
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced :
% [415] converse(composition(top,complement(converse(A)))) join A -> top
% Current number of equations to process: 1362
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced :
% [416]
% converse(composition(complement(one),converse(A))) join A ->
% composition(A,top)
% Current number of equations to process: 1369
% Current number of ordered equations: 0
% Current number of rules: 284
% New rule produced :
% [417]
% composition(composition(top,A),B) join complement(composition(A,B)) -> top
% Current number of equations to process: 1412
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced :
% [418]
% composition(top,A) join complement(complement(A) join B) ->
% composition(top,A)
% Current number of equations to process: 1411
% Current number of ordered equations: 0
% Current number of rules: 286
% New rule produced :
% [419]
% composition(top,A) join complement(converse(complement(converse(A)))) ->
% composition(top,A)
% Current number of equations to process: 1409
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [420]
% composition(top,complement(composition(A,B))) join composition(A,top) -> top
% Current number of equations to process: 1405
% Current number of ordered equations: 0
% Current number of rules: 288
% New rule produced :
% [421]
% complement(converse(composition(top,A))) join complement(converse(A)) ->
% complement(converse(A))
% Current number of equations to process: 1468
% Current number of ordered equations: 0
% Current number of rules: 289
% New rule produced :
% [422]
% converse(composition(top,complement(converse(A)))) join composition(top,A) ->
% top
% Current number of equations to process: 1519
% Current number of ordered equations: 0
% Current number of rules: 290
% New rule produced :
% [423]
% converse(composition(top,A)) join composition(top,complement(converse(A))) ->
% top
% Current number of equations to process: 1518
% Current number of ordered equations: 0
% Current number of rules: 291
% New rule produced :
% [424]
% converse(composition(top,composition(complement(A),top))) join converse(A) ->
% top
% Current number of equations to process: 1516
% Current number of ordered equations: 1
% Current number of rules: 292
% New rule produced :
% [425]
% converse(composition(top,A)) join converse(composition(complement(A),top)) ->
% top
% Current number of equations to process: 1516
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced :
% [426]
% converse(composition(top,A)) join complement(composition(converse(A),B)) ->
% top
% Current number of equations to process: 1671
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced :
% [427]
% converse(complement(converse(A))) join complement(composition(top,A)) ->
% converse(complement(converse(A)))
% Current number of equations to process: 1767
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced :
% [428]
% converse(composition(top,A)) join composition(zero,converse(A)) ->
% converse(composition(top,A))
% Current number of equations to process: 1765
% Current number of ordered equations: 0
% Current number of rules: 296
% New rule produced :
% [429]
% composition(A,top) join complement(converse(composition(B,converse(A)))) ->
% top
% Current number of equations to process: 1842
% Current number of ordered equations: 0
% Current number of rules: 297
% New rule produced :
% [430] converse(complement(converse(A))) join composition(A,top) -> top
% Current number of equations to process: 2090
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [431]
% converse(complement(A)) join complement(converse(composition(top,A))) ->
% converse(complement(A))
% Current number of equations to process: 2380
% Current number of ordered equations: 0
% Current number of rules: 299
% New rule produced :
% [432]
% converse(composition(top,complement(A))) join converse(composition(top,A)) ->
% top
% Current number of equations to process: 2379
% Current number of ordered equations: 0
% Current number of rules: 300
% New rule produced :
% [433]
% complement(converse(composition(A,top))) join complement(converse(A)) ->
% complement(converse(A))
% Current number of equations to process: 2550
% Current number of ordered equations: 0
% Current number of rules: 301
% New rule produced :
% [434]
% converse(composition(top,composition(A,top))) join complement(converse(A)) ->
% top
% Current number of equations to process: 2549
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced : [435] composition(converse(zero),zero) -> zero
% Current number of equations to process: 2653
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced : [436] converse(composition(converse(A),zero)) join A -> A
% Current number of equations to process: 2657
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced :
% [437] complement(composition(converse(zero),A)) join A -> top
% Current number of equations to process: 2658
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced :
% [438] converse(composition(A,zero)) join converse(A) -> converse(A)
% Current number of equations to process: 2668
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced :
% [439] composition(converse(zero),composition(zero,A)) join A -> A
% Current number of equations to process: 2713
% Current number of ordered equations: 1
% Current number of rules: 307
% New rule produced :
% [440] composition(zero,composition(converse(zero),A)) join A -> A
% Current number of equations to process: 2713
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [441] composition(converse(zero),complement(A)) join A -> A
% Current number of equations to process: 2741
% Current number of ordered equations: 0
% Current number of rules: 309
% New rule produced :
% [442] composition(converse(zero),A) join complement(A) -> complement(A)
% Current number of equations to process: 2740
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced :
% [443] converse(complement(composition(converse(A),zero))) join A -> top
% Current number of equations to process: 2747
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced : [444] composition(zero,converse(zero)) -> zero
% Rule [308] one join composition(zero,converse(zero)) -> one collapsed.
% Current number of equations to process: 2769
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced :
% [445] complement(composition(A,converse(zero))) join A -> top
% Current number of equations to process: 2779
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced : [446] converse(composition(zero,converse(A))) join A -> A
% Current number of equations to process: 2797
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [447] converse(composition(zero,top)) join complement(one) -> complement(one)
% Current number of equations to process: 2848
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [448] composition(composition(zero,A),converse(zero)) join A -> A
% Current number of equations to process: 2851
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced :
% [449] converse(complement(composition(zero,converse(A)))) join A -> top
% Current number of equations to process: 2880
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced :
% [450] converse(composition(converse(zero),A)) join converse(A) -> converse(A)
% Current number of equations to process: 2903
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced :
% [451]
% converse(complement(converse(composition(converse(zero),A)))) join A -> top
% Current number of equations to process: 2901
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced :
% [452]
% composition(top,complement(composition(converse(zero),A))) join A -> top
% Current number of equations to process: 2900
% Current number of ordered equations: 0
% Current number of rules: 319
% New rule produced :
% [453]
% converse(complement(converse(composition(A,converse(zero))))) join A -> top
% Current number of equations to process: 2898
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [454]
% composition(top,A) join composition(A,converse(zero)) -> composition(top,A)
% Current number of equations to process: 2897
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced :
% [455]
% composition(top,complement(composition(A,converse(zero)))) join A -> top
% Current number of equations to process: 2896
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced :
% [456] composition(composition(converse(zero),A),converse(zero)) join A -> A
% Current number of equations to process: 2893
% Current number of ordered equations: 1
% Current number of rules: 323
% New rule produced :
% [457] composition(converse(zero),composition(A,converse(zero))) join A -> A
% Current number of equations to process: 2893
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [458] converse(A) join complement(converse(composition(zero,A))) -> top
% Current number of equations to process: 2901
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced :
% [459]
% complement(converse(complement(converse(composition(zero,A))))) join A -> A
% Current number of equations to process: 2966
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [460] complement(converse(composition(zero,converse(A)))) join A -> top
% Current number of equations to process: 2969
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced :
% [461] converse(complement(composition(zero,A))) join converse(A) -> top
% Current number of equations to process: 2990
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [462] complement(composition(zero,composition(zero,A))) join A -> top
% Current number of equations to process: 3008
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [463]
% converse(A) join complement(converse(composition(A,converse(zero)))) -> top
% Current number of equations to process: 3060
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [464] complement(complement(composition(zero,A)) join B) join A -> A
% Current number of equations to process: 3059
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced :
% [465]
% complement(composition(zero,composition(converse(zero),A))) join A -> top
% Current number of equations to process: 3058
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced :
% [466] one join complement(converse(composition(complement(one),top))) -> one
% Current number of equations to process: 3209
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [467]
% composition(complement(A),converse(zero)) join A ->
% converse(composition(zero,top)) join A
% Current number of equations to process: 3258
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced :
% [468]
% converse(composition(zero,composition(zero,A))) join converse(A) ->
% converse(A)
% Current number of equations to process: 3257
% Current number of ordered equations: 0
% Current number of rules: 335
% New rule produced :
% [469]
% composition(converse(A),composition(A,top)) -> converse(composition(top,A))
% Current number of equations to process: 4107
% Current number of ordered equations: 0
% Current number of rules: 336
% New rule produced :
% [470] composition(composition(A,complement(one)),zero) -> composition(A,zero)
% Current number of equations to process: 4115
% Current number of ordered equations: 0
% Current number of rules: 337
% New rule produced :
% [471] composition(complement(one),composition(zero,A)) -> composition(zero,A)
% Current number of equations to process: 4114
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced : [472] complement(composition(A,zero)) -> top
% Rule
% [331] converse(complement(composition(A,zero))) join complement(one) -> top
% collapsed.
% Rule [390] complement(one) join complement(composition(A,zero)) -> top
% collapsed.
% Rule [443] converse(complement(composition(converse(A),zero))) join A -> top
% collapsed.
% Current number of equations to process: 4127
% Current number of ordered equations: 0
% Current number of rules: 336
% Rule [335]
% composition(composition(A,B),complement(converse(composition(top,B))))
% -> composition(A,zero) is composed into [335]
% composition(composition(A,B),
% complement(converse(composition(top,B))))
% -> zero
% New rule produced : [473] composition(A,zero) -> zero
% Rule [321] composition(complement(one),zero) -> zero collapsed.
% Rule [322] composition(zero,zero) -> zero collapsed.
% Rule [324] composition(A,zero) join composition(A,B) -> composition(A,B)
% collapsed.
% Rule
% [351] converse(composition(A,zero)) join complement(one) -> complement(one)
% collapsed.
% Rule [398] composition(top,zero) -> zero collapsed.
% Rule [435] composition(converse(zero),zero) -> zero collapsed.
% Rule [436] converse(composition(converse(A),zero)) join A -> A collapsed.
% Rule [438] converse(composition(A,zero)) join converse(A) -> converse(A)
% collapsed.
% Rule
% [470] composition(composition(A,complement(one)),zero) -> composition(A,zero)
% collapsed.
% Rule [472] complement(composition(A,zero)) -> top collapsed.
% Current number of equations to process: 4127
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced :
% [474]
% composition(converse(zero),composition(complement(one),A)) ->
% composition(converse(zero),A)
% Current number of equations to process: 4125
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [475]
% composition(composition(A,converse(zero)),complement(one)) ->
% composition(A,converse(zero))
% Current number of equations to process: 4124
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [476] composition(complement(composition(complement(A),top)),top) join A -> A
% Current number of equations to process: 4122
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [477]
% composition(converse(composition(A,top)),complement(composition(A,top))) ->
% zero
% Current number of equations to process: 4121
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced : [478] composition(converse(zero),A) -> converse(zero)
% Rule [302] composition(converse(zero),A) join A -> A collapsed.
% Rule [437] complement(composition(converse(zero),A)) join A -> top collapsed.
% Rule [439] composition(converse(zero),composition(zero,A)) join A -> A
% collapsed.
% Rule [440] composition(zero,composition(converse(zero),A)) join A -> A
% collapsed.
% Rule [441] composition(converse(zero),complement(A)) join A -> A collapsed.
% Rule [442] composition(converse(zero),A) join complement(A) -> complement(A)
% collapsed.
% Rule
% [450] converse(composition(converse(zero),A)) join converse(A) -> converse(A)
% collapsed.
% Rule
% [451]
% converse(complement(converse(composition(converse(zero),A)))) join A -> top
% collapsed.
% Rule
% [452]
% composition(top,complement(composition(converse(zero),A))) join A -> top
% collapsed.
% Rule
% [456] composition(composition(converse(zero),A),converse(zero)) join A -> A
% collapsed.
% Rule
% [457] composition(converse(zero),composition(A,converse(zero))) join A -> A
% collapsed.
% Rule
% [465]
% complement(composition(zero,composition(converse(zero),A))) join A -> top
% collapsed.
% Rule
% [474]
% composition(converse(zero),composition(complement(one),A)) ->
% composition(converse(zero),A) collapsed.
% Current number of equations to process: 4119
% Current number of ordered equations: 0
% Current number of rules: 319
% New rule produced :
% [479]
% composition(zero,complement(converse(A))) join complement(one) ->
% complement(one)
% Current number of equations to process: 4132
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [480] composition(zero,complement(A)) join complement(one) -> complement(one)
% Rule
% [479]
% composition(zero,complement(converse(A))) join complement(one) ->
% complement(one) collapsed.
% Current number of equations to process: 4137
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [481] composition(A,B) join complement(composition(zero,B)) -> top
% Current number of equations to process: 4138
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced :
% [482] composition(zero,complement(composition(A,complement(B)))) join B -> B
% Current number of equations to process: 4227
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced :
% [483] composition(zero,complement(converse(composition(top,A)))) -> zero
% Current number of equations to process: 4257
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced :
% [484] composition(zero,A) join composition(B,top) -> composition(B,top)
% Rule
% [381]
% composition(zero,composition(A,B)) join composition(A,top) ->
% composition(A,top) collapsed.
% Current number of equations to process: 4281
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced :
% [485] composition(zero,complement(composition(A,top))) -> zero
% Current number of equations to process: 4341
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [486]
% composition(zero,complement(composition(A,B))) join complement(B) ->
% complement(B)
% Current number of equations to process: 4335
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced :
% [487]
% converse(composition(top,A)) join composition(zero,top) ->
% converse(composition(top,A))
% Current number of equations to process: 4334
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced : [488] converse(zero) -> zero
% Rule [303] composition(A,converse(zero)) join A -> A collapsed.
% Rule
% [315] converse(composition(A,converse(zero))) join converse(A) -> converse(A)
% collapsed.
% Rule [328] converse(zero) join A -> A collapsed.
% Rule [383] complement(converse(zero)) -> top collapsed.
% Rule
% [392]
% converse(complement(composition(A,converse(zero)))) join converse(A) -> top
% collapsed.
% Rule [444] composition(zero,converse(zero)) -> zero collapsed.
% Rule [445] complement(composition(A,converse(zero))) join A -> top collapsed.
% Rule [448] composition(composition(zero,A),converse(zero)) join A -> A
% collapsed.
% Rule
% [453]
% converse(complement(converse(composition(A,converse(zero))))) join A -> top
% collapsed.
% Rule
% [454]
% composition(top,A) join composition(A,converse(zero)) -> composition(top,A)
% collapsed.
% Rule
% [455]
% composition(top,complement(composition(A,converse(zero)))) join A -> top
% collapsed.
% Rule
% [463]
% converse(A) join complement(converse(composition(A,converse(zero)))) -> top
% collapsed.
% Rule
% [467]
% composition(complement(A),converse(zero)) join A ->
% converse(composition(zero,top)) join A collapsed.
% Rule
% [475]
% composition(composition(A,converse(zero)),complement(one)) ->
% composition(A,converse(zero)) collapsed.
% Rule [478] composition(converse(zero),A) -> converse(zero) collapsed.
% Current number of equations to process: 4499
% Current number of ordered equations: 0
% Current number of rules: 312
% Rule [336]
% composition(B,composition(complement(converse(composition(top,B))),A))
% -> composition(zero,A) is composed into [336]
% composition(B,composition(
% complement(
% converse(composition(top,B))),A))
% -> zero
% New rule produced : [489] composition(zero,A) -> zero
% Rule [182] composition(zero,A) join A -> A collapsed.
% Rule [305] converse(complement(converse(composition(zero,A)))) join A -> top
% collapsed.
% Rule [306] complement(composition(zero,A)) join A -> top collapsed.
% Rule [307] converse(composition(zero,A)) join converse(A) -> converse(A)
% collapsed.
% Rule [309] composition(zero,composition(zero,A)) join A -> A collapsed.
% Rule
% [316]
% complement(composition(zero,A)) join complement(A) ->
% complement(composition(zero,A)) collapsed.
% Rule
% [318]
% complement(composition(zero,complement(A))) join A ->
% complement(composition(zero,complement(A))) collapsed.
% Rule [323] composition(zero,B) join composition(A,B) -> composition(A,B)
% collapsed.
% Rule
% [332]
% composition(zero,complement(A join B)) join complement(B) -> complement(B)
% collapsed.
% Rule
% [333]
% composition(composition(zero,A),B) join composition(A,B) -> composition(A,B)
% collapsed.
% Rule
% [334]
% composition(A,composition(zero,B)) join composition(A,B) -> composition(A,B)
% collapsed.
% Rule
% [339]
% complement(A join B) join complement(composition(zero,A)) ->
% complement(composition(zero,A)) collapsed.
% Rule
% [361] complement(composition(zero,A) join B) join A -> complement(B) join A
% collapsed.
% Rule
% [368]
% converse(complement(converse(complement(A)))) join complement(composition(zero,A))
% -> top collapsed.
% Rule
% [373] composition(zero,complement(A)) join A -> composition(zero,top) join A
% collapsed.
% Rule
% [374]
% composition(zero,top) join complement(A) <->
% composition(zero,A) join complement(A) collapsed.
% Rule
% [375]
% composition(zero,A) join complement(A) <->
% composition(zero,top) join complement(A) collapsed.
% Rule [407] composition(top,complement(composition(zero,A))) join A -> top
% collapsed.
% Rule
% [428]
% converse(composition(top,A)) join composition(zero,converse(A)) ->
% converse(composition(top,A)) collapsed.
% Rule [446] converse(composition(zero,converse(A))) join A -> A collapsed.
% Rule
% [447] converse(composition(zero,top)) join complement(one) -> complement(one)
% collapsed.
% Rule [449] converse(complement(composition(zero,converse(A)))) join A -> top
% collapsed.
% Rule [458] converse(A) join complement(converse(composition(zero,A))) -> top
% collapsed.
% Rule
% [459]
% complement(converse(complement(converse(composition(zero,A))))) join A -> A
% collapsed.
% Rule [460] complement(converse(composition(zero,converse(A)))) join A -> top
% collapsed.
% Rule [461] converse(complement(composition(zero,A))) join converse(A) -> top
% collapsed.
% Rule [462] complement(composition(zero,composition(zero,A))) join A -> top
% collapsed.
% Rule [464] complement(complement(composition(zero,A)) join B) join A -> A
% collapsed.
% Rule
% [468]
% converse(composition(zero,composition(zero,A))) join converse(A) ->
% converse(A) collapsed.
% Rule
% [471] composition(complement(one),composition(zero,A)) -> composition(zero,A)
% collapsed.
% Rule
% [480] composition(zero,complement(A)) join complement(one) -> complement(one)
% collapsed.
% Rule [481] composition(A,B) join complement(composition(zero,B)) -> top
% collapsed.
% Rule
% [482] composition(zero,complement(composition(A,complement(B)))) join B -> B
% collapsed.
% Rule [483] composition(zero,complement(converse(composition(top,A)))) -> zero
% collapsed.
% Rule [484] composition(zero,A) join composition(B,top) -> composition(B,top)
% collapsed.
% Rule [485] composition(zero,complement(composition(A,top))) -> zero
% collapsed.
% Rule
% [486]
% composition(zero,complement(composition(A,B))) join complement(B) ->
% complement(B) collapsed.
% Rule
% [487]
% converse(composition(top,A)) join composition(zero,top) ->
% converse(composition(top,A)) collapsed.
% Current number of equations to process: 4498
% Current number of ordered equations: 0
% Current number of rules: 275
% New rule produced :
% [490]
% composition(converse(composition(complement(one),top)),A) join A ->
% composition(top,A)
% Current number of equations to process: 4473
% Current number of ordered equations: 0
% Current number of rules: 276
% New rule produced :
% [491]
% composition(A,converse(composition(complement(one),top))) join A ->
% composition(A,top)
% Current number of equations to process: 4472
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced :
% [492]
% one join complement(converse(composition(complement(one),top)) join A) -> one
% Current number of equations to process: 4470
% Current number of ordered equations: 1
% Current number of rules: 278
% New rule produced :
% [493]
% converse(composition(complement(one),top)) join complement(one) ->
% converse(composition(complement(one),top))
% Current number of equations to process: 4470
% Current number of ordered equations: 0
% Current number of rules: 279
% New rule produced :
% [494]
% composition(composition(A,converse(B)),complement(composition(B,top))) ->
% zero
% Current number of equations to process: 4460
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced :
% [495]
% composition(converse(B),composition(complement(composition(B,top)),A)) ->
% zero
% Current number of equations to process: 4459
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced :
% [496]
% composition(composition(A,B),converse(composition(top,B))) ->
% composition(composition(A,B),top)
% Current number of equations to process: 4508
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced :
% [497]
% composition(composition(A,top),complement(composition(composition(top,A),top)))
% -> zero
% Current number of equations to process: 4558
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced :
% [498]
% converse(composition(top,A)) join complement(converse(complement(A))) ->
% converse(composition(top,A))
% Current number of equations to process: 4694
% Current number of ordered equations: 0
% Current number of rules: 284
% New rule produced :
% [499]
% composition(converse(complement(composition(B,top))),composition(B,A)) ->
% zero
% Current number of equations to process: 4677
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced :
% [500]
% composition(converse(composition(B,A)),complement(composition(B,top))) ->
% zero
% Rule
% [477]
% composition(converse(composition(A,top)),complement(composition(A,top))) ->
% zero collapsed.
% Current number of equations to process: 4676
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced :
% [501]
% composition(converse(composition(top,A)),composition(top,B)) ->
% composition(converse(composition(top,A)),B)
% Current number of equations to process: 4831
% Current number of ordered equations: 0
% Current number of rules: 286
% New rule produced :
% [502]
% composition(converse(A),complement(one)) ->
% converse(composition(complement(one),A))
% Current number of equations to process: 874
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [503]
% composition(complement(one),converse(A)) ->
% converse(composition(A,complement(one)))
% Rule
% [416]
% converse(composition(complement(one),converse(A))) join A ->
% composition(A,top) collapsed.
% Current number of equations to process: 873
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [504]
% converse(composition(top,complement(one))) ->
% composition(complement(one),top)
% Rule
% [340]
% composition(top,complement(converse(composition(top,complement(one))))) ->
% complement(converse(composition(top,complement(one)))) collapsed.
% Current number of equations to process: 905
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [505]
% composition(complement(one),complement(composition(complement(one),top))) ->
% zero
% Current number of equations to process: 911
% Current number of ordered equations: 0
% Current number of rules: 288
% New rule produced : [506] composition(A,top) join complement(A) -> top
% Current number of equations to process: 960
% Current number of ordered equations: 0
% Current number of rules: 289
% New rule produced :
% [507]
% composition(composition(top,complement(one)),top) ->
% composition(top,complement(one))
% Current number of equations to process: 996
% Current number of ordered equations: 0
% Current number of rules: 290
% New rule produced :
% [508] composition(top,complement(one)) <-> composition(complement(one),top)
% Current number of equations to process: 1046
% Current number of ordered equations: 1
% Current number of rules: 291
% New rule produced :
% [509] composition(complement(one),top) <-> composition(top,complement(one))
% Current number of equations to process: 1046
% Current number of ordered equations: 0
% Current number of rules: 292
% New rule produced :
% [510] complement(composition(A,top)) join complement(A) -> complement(A)
% Current number of equations to process: 1124
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced :
% [511] composition(top,A) join composition(complement(A),top) -> top
% Current number of equations to process: 1198
% Current number of ordered equations: 1
% Current number of rules: 294
% New rule produced :
% [512] composition(composition(top,A),top) join complement(A) -> top
% Current number of equations to process: 1198
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced :
% [513] composition(composition(top,complement(A)),top) join A -> top
% Current number of equations to process: 1196
% Current number of ordered equations: 1
% Current number of rules: 296
% New rule produced :
% [514] composition(top,complement(A)) join composition(A,top) -> top
% Current number of equations to process: 1196
% Current number of ordered equations: 0
% Current number of rules: 297
% New rule produced :
% [515]
% composition(top,complement(composition(complement(one),top))) ->
% complement(composition(complement(one),top))
% Current number of equations to process: 1217
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [516]
% composition(composition(A,complement(one)),top) join A -> composition(A,top)
% Current number of equations to process: 1216
% Current number of ordered equations: 0
% Current number of rules: 299
% New rule produced :
% [517]
% composition(composition(top,A),top) join A ->
% composition(composition(top,A),top)
% Current number of equations to process: 1215
% Current number of ordered equations: 0
% Current number of rules: 300
% New rule produced :
% [518]
% composition(A,converse(composition(complement(one),top))) <->
% composition(composition(A,top),complement(one))
% Current number of equations to process: 1213
% Current number of ordered equations: 1
% Current number of rules: 301
% New rule produced :
% [519]
% composition(composition(A,top),complement(one)) <->
% composition(A,converse(composition(complement(one),top)))
% Current number of equations to process: 1213
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced :
% [520]
% composition(top,composition(complement(one),A)) <->
% composition(converse(composition(complement(one),top)),A)
% Current number of equations to process: 1211
% Current number of ordered equations: 1
% Current number of rules: 303
% New rule produced :
% [521]
% composition(converse(composition(complement(one),top)),A) <->
% composition(top,composition(complement(one),A))
% Current number of equations to process: 1211
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced :
% [522]
% converse(composition(A,complement(one))) join converse(A) ->
% converse(composition(A,top))
% Current number of equations to process: 1210
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced :
% [523]
% complement(composition(A,complement(one))) join A ->
% complement(composition(A,top)) join A
% Current number of equations to process: 1209
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced :
% [524]
% complement(composition(A,top) join B) join complement(A) -> complement(A)
% Current number of equations to process: 1208
% Current number of ordered equations: 0
% Current number of rules: 307
% New rule produced :
% [525]
% composition(converse(A),composition(complement(one),B)) <->
% composition(converse(composition(complement(one),A)),B)
% Current number of equations to process: 1207
% Current number of ordered equations: 1
% Current number of rules: 308
% New rule produced :
% [526]
% composition(converse(composition(complement(one),A)),B) <->
% composition(converse(A),composition(complement(one),B))
% Current number of equations to process: 1207
% Current number of ordered equations: 0
% Current number of rules: 309
% New rule produced :
% [527]
% composition(composition(A,complement(one)),converse(B)) <->
% composition(A,converse(composition(B,complement(one))))
% Current number of equations to process: 1205
% Current number of ordered equations: 3
% Current number of rules: 310
% New rule produced :
% [528]
% composition(A,converse(composition(complement(one),B))) <->
% composition(composition(A,converse(B)),complement(one))
% Current number of equations to process: 1205
% Current number of ordered equations: 2
% Current number of rules: 311
% New rule produced :
% [529]
% composition(A,converse(composition(B,complement(one)))) <->
% composition(composition(A,complement(one)),converse(B))
% Current number of equations to process: 1205
% Current number of ordered equations: 1
% Current number of rules: 312
% New rule produced :
% [530]
% composition(composition(A,converse(B)),complement(one)) <->
% composition(A,converse(composition(complement(one),B)))
% Current number of equations to process: 1205
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [531]
% composition(complement(one),composition(converse(A),B)) <->
% composition(converse(composition(A,complement(one))),B)
% Current number of equations to process: 1202
% Current number of ordered equations: 1
% Current number of rules: 314
% New rule produced :
% [532]
% composition(converse(composition(A,complement(one))),B) <->
% composition(complement(one),composition(converse(A),B))
% Current number of equations to process: 1202
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced :
% [533]
% one join composition(A,complement(converse(composition(complement(one),A))))
% -> one
% Current number of equations to process: 1200
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced :
% [534]
% converse(composition(composition(A,top),complement(one))) <->
% composition(composition(complement(one),top),converse(A))
% Current number of equations to process: 1199
% Current number of ordered equations: 1
% Current number of rules: 317
% New rule produced :
% [535]
% composition(composition(complement(one),top),converse(A)) <->
% converse(composition(composition(A,top),complement(one)))
% Current number of equations to process: 1199
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced :
% [536]
% converse(composition(complement(one),composition(top,A))) <->
% composition(converse(A),composition(top,complement(one)))
% Current number of equations to process: 1198
% Current number of ordered equations: 1
% Current number of rules: 319
% New rule produced :
% [537]
% composition(converse(A),composition(top,complement(one))) <->
% converse(composition(complement(one),composition(top,A)))
% Current number of equations to process: 1198
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [538]
% converse(complement(converse(A))) join composition(composition(top,A),top) ->
% top
% Current number of equations to process: 1197
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced :
% [539]
% composition(top,A) join composition(complement(composition(B,A)),top) -> top
% Current number of equations to process: 1195
% Current number of ordered equations: 1
% Current number of rules: 322
% New rule produced :
% [540]
% composition(composition(top,A),top) join complement(composition(B,A)) -> top
% Current number of equations to process: 1195
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced :
% [541]
% converse(complement(converse(complement(composition(A,top))))) join complement(A)
% -> top
% Current number of equations to process: 1194
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [542]
% converse(composition(A,top)) join composition(complement(converse(A)),top) ->
% top
% Current number of equations to process: 1189
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced :
% [543]
% converse(composition(composition(complement(one),top),converse(A))) <->
% composition(composition(A,top),complement(one))
% Current number of equations to process: 1186
% Current number of ordered equations: 1
% Current number of rules: 326
% New rule produced :
% [544]
% composition(composition(A,top),complement(one)) <->
% converse(composition(composition(complement(one),top),converse(A)))
% Current number of equations to process: 1186
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced :
% [545]
% converse(composition(converse(A),composition(top,complement(one)))) <->
% composition(complement(one),composition(top,A))
% Current number of equations to process: 1185
% Current number of ordered equations: 1
% Current number of rules: 328
% New rule produced :
% [546]
% composition(complement(one),composition(top,A)) <->
% converse(composition(converse(A),composition(top,complement(one))))
% Current number of equations to process: 1185
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [547]
% composition(top,complement(one)) join composition(A,top) ->
% composition(top,complement(one)) join A
% Current number of equations to process: 1183
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [548]
% composition(A,top) join complement(A join B) ->
% composition(A,top) join complement(B)
% Current number of equations to process: 1182
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced :
% [549]
% composition(complement(A),top) join complement(A join B) ->
% composition(complement(A),top)
% Current number of equations to process: 1180
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced :
% [550] complement(composition(complement(A),top)) join A -> A
% Current number of equations to process: 1944
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [551] complement(composition(complement(A),top) join B) join A -> A
% Current number of equations to process: 1967
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced : [552] converse(complement(converse(complement(A)))) -> A
% Rule
% [214]
% converse(complement(converse(complement(A join B)))) join complement(B) ->
% top collapsed.
% Rule
% [363]
% converse(complement(converse(complement(complement(A) join B)))) join A ->
% top collapsed.
% Rule
% [367]
% converse(complement(converse(complement(composition(top,A))))) join complement(A)
% -> top collapsed.
% Rule
% [384]
% converse(complement(converse(complement(A)))) join A ->
% converse(complement(converse(complement(A)))) collapsed.
% Rule
% [541]
% converse(complement(converse(complement(composition(A,top))))) join complement(A)
% -> top collapsed.
% Current number of equations to process: 1985
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced : [553] converse(complement(converse(A))) -> complement(A)
% Rule [57] converse(complement(converse(A))) join A -> top collapsed.
% Rule
% [157]
% converse(complement(converse(composition(A,B)))) join composition(top,B) ->
% top collapsed.
% Rule
% [226]
% composition(converse(complement(converse(B))),A) join composition(B,A) ->
% composition(top,A) collapsed.
% Rule
% [229]
% converse(complement(converse(composition(converse(A),complement(A))))) join
% complement(one) -> top collapsed.
% Rule
% [232]
% converse(complement(converse(composition(A,complement(converse(A)))))) join
% complement(one) -> top collapsed.
% Rule
% [238]
% composition(A,converse(complement(converse(B)))) join composition(A,B) ->
% composition(A,top) collapsed.
% Rule [273] converse(complement(converse(A))) join composition(top,A) -> top
% collapsed.
% Rule
% [291]
% converse(complement(converse(composition(A,B)))) join composition(A,top) ->
% top collapsed.
% Rule [356] complement(converse(complement(converse(A)))) join A -> A
% collapsed.
% Rule
% [357]
% converse(complement(converse(A))) join complement(A) ->
% converse(complement(converse(A))) collapsed.
% Rule [358] complement(converse(complement(converse(A))) join B) join A -> A
% collapsed.
% Rule
% [364]
% converse(complement(converse(A))) join complement(A join B) ->
% converse(complement(converse(A))) collapsed.
% Rule
% [419]
% composition(top,A) join complement(converse(complement(converse(A)))) ->
% composition(top,A) collapsed.
% Rule
% [427]
% converse(complement(converse(A))) join complement(composition(top,A)) ->
% converse(complement(converse(A))) collapsed.
% Rule [430] converse(complement(converse(A))) join composition(A,top) -> top
% collapsed.
% Rule
% [538]
% converse(complement(converse(A))) join composition(composition(top,A),top) ->
% top collapsed.
% Rule [552] converse(complement(converse(complement(A)))) -> A collapsed.
% Current number of equations to process: 2108
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [554]
% converse(complement(complement(A) join B)) join converse(A) -> converse(A)
% Current number of equations to process: 2209
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced :
% [555]
% converse(composition(composition(top,A),top)) join converse(complement(A)) ->
% top
% Current number of equations to process: 2214
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced :
% [556]
% composition(A,top) join complement(complement(A) join B) ->
% composition(A,top)
% Current number of equations to process: 2212
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced :
% [557] converse(complement(converse(complement(A)) join B)) join A -> A
% Current number of equations to process: 2221
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced :
% [558]
% converse(A) join complement(converse(composition(top,complement(A)))) ->
% converse(A)
% Current number of equations to process: 2326
% Current number of ordered equations: 0
% Current number of rules: 319
% New rule produced :
% [559]
% converse(complement(converse(A) join B)) join complement(A) -> complement(A)
% Current number of equations to process: 2507
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [560]
% converse(complement(A)) join complement(converse(composition(A,top))) ->
% converse(complement(A))
% Current number of equations to process: 2640
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced :
% [561]
% converse(composition(A,top)) join complement(converse(complement(A))) ->
% converse(composition(A,top))
% Current number of equations to process: 2639
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced :
% [562]
% converse(complement(converse(A) join B)) join A ->
% converse(complement(B)) join A
% Rule
% [225] converse(complement(converse(A) join converse(B))) join A join B -> top
% collapsed.
% Rule [391] one join converse(complement(one join converse(A))) join A -> top
% collapsed.
% Current number of equations to process: 2851
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced :
% [563]
% one join converse(complement(one join A)) -> one join converse(complement(A))
% Current number of equations to process: 2933
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced :
% [564]
% converse(complement(composition(top,complement(A)))) join converse(A) ->
% converse(A)
% Current number of equations to process: 3080
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced :
% [565]
% converse(complement(composition(top,A))) join converse(complement(A)) ->
% converse(complement(A))
% Current number of equations to process: 3093
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [566]
% one join complement(converse(complement(complement(one) join A))) -> top
% Current number of equations to process: 3248
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced :
% [567]
% converse(A) join complement(converse(complement(complement(A) join B))) ->
% top
% Current number of equations to process: 3271
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [568]
% converse(complement(A)) join complement(converse(complement(composition(top,A))))
% -> top
% Current number of equations to process: 3352
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced :
% [569]
% complement(one) join complement(converse(complement(one join A))) -> top
% Current number of equations to process: 3496
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [570]
% converse(complement(A)) join complement(converse(complement(composition(A,top))))
% -> top
% Current number of equations to process: 3495
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [571]
% complement(converse(complement(converse(A) join B))) join complement(A) ->
% top
% Current number of equations to process: 3565
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [572]
% complement(converse(complement(converse(complement(A)) join B))) join A ->
% top
% Current number of equations to process: 3564
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced :
% [573]
% complement(composition(composition(top,A),top)) join complement(A) ->
% complement(A)
% Current number of equations to process: 3706
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced :
% [574]
% composition(A,top) join complement(composition(composition(A,B),C)) -> top
% Current number of equations to process: 3844
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [575]
% composition(top,composition(A,top)) join complement(composition(A,B)) -> top
% Current number of equations to process: 3843
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced :
% [576]
% composition(complement(composition(A,B)),top) join composition(A,top) -> top
% Current number of equations to process: 3842
% Current number of ordered equations: 0
% Current number of rules: 335
% New rule produced :
% [577]
% converse(composition(A,top)) join complement(one) ->
% composition(A,top) join complement(one)
% Rule
% [493]
% converse(composition(complement(one),top)) join complement(one) ->
% converse(composition(complement(one),top)) collapsed.
% Current number of equations to process: 3882
% Current number of ordered equations: 0
% Current number of rules: 335
% Rule [520]
% composition(top,composition(complement(one),A)) <->
% composition(converse(composition(complement(one),top)),A) is composed into
% [520]
% composition(top,composition(complement(one),A)) <->
% composition(composition(complement(one),top),A)
% Rule [519]
% composition(composition(A,top),complement(one)) <->
% composition(A,converse(composition(complement(one),top))) is composed into
% [519]
% composition(composition(A,top),complement(one)) <->
% composition(A,composition(complement(one),top))
% New rule produced :
% [578]
% converse(composition(complement(one),top)) ->
% composition(complement(one),top)
% Rule [311] one join converse(composition(complement(one),top)) -> top
% collapsed.
% Rule
% [466] one join complement(converse(composition(complement(one),top))) -> one
% collapsed.
% Rule
% [490]
% composition(converse(composition(complement(one),top)),A) join A ->
% composition(top,A) collapsed.
% Rule
% [491]
% composition(A,converse(composition(complement(one),top))) join A ->
% composition(A,top) collapsed.
% Rule
% [492]
% one join complement(converse(composition(complement(one),top)) join A) -> one
% collapsed.
% Rule
% [518]
% composition(A,converse(composition(complement(one),top))) <->
% composition(composition(A,top),complement(one)) collapsed.
% Rule
% [521]
% composition(converse(composition(complement(one),top)),A) <->
% composition(top,composition(complement(one),A)) collapsed.
% Current number of equations to process: 3885
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [579]
% composition(composition(complement(one),top),A) join A -> composition(top,A)
% Current number of equations to process: 3882
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [580]
% composition(A,composition(complement(one),top)) join A -> composition(A,top)
% Current number of equations to process: 3881
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced :
% [581]
% composition(top,composition(A,top)) join A ->
% composition(top,composition(A,top))
% Current number of equations to process: 4194
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced :
% [582]
% composition(composition(complement(one),top),complement(composition(complement(one),top)))
% -> zero
% Current number of equations to process: 4251
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [583]
% converse(composition(composition(A,complement(one)),top)) <->
% composition(composition(complement(one),top),converse(A))
% Current number of equations to process: 4250
% Current number of ordered equations: 1
% Current number of rules: 334
% New rule produced :
% [584]
% composition(composition(complement(one),top),converse(A)) <->
% converse(composition(composition(A,complement(one)),top))
% Current number of equations to process: 4250
% Current number of ordered equations: 0
% Current number of rules: 335
% New rule produced :
% [585]
% composition(composition(top,complement(one)),converse(A)) ->
% converse(composition(A,composition(complement(one),top)))
% Current number of equations to process: 4249
% Current number of ordered equations: 0
% Current number of rules: 336
% New rule produced :
% [586]
% converse(composition(complement(one),composition(top,A))) <->
% composition(converse(A),composition(complement(one),top))
% Current number of equations to process: 4247
% Current number of ordered equations: 1
% Current number of rules: 337
% New rule produced :
% [587]
% composition(converse(A),composition(complement(one),top)) <->
% converse(composition(complement(one),composition(top,A)))
% Current number of equations to process: 4247
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced :
% [588] one join converse(complement(complement(one) join A)) -> one
% Current number of equations to process: 4312
% Current number of ordered equations: 0
% Current number of rules: 339
% New rule produced :
% [589]
% converse(complement(one join A)) join complement(one) -> complement(one)
% Current number of equations to process: 4583
% Current number of ordered equations: 0
% Current number of rules: 340
% New rule produced :
% [590]
% converse(complement(composition(A,top))) join converse(complement(A)) ->
% converse(complement(A))
% Current number of equations to process: 4582
% Current number of ordered equations: 0
% Current number of rules: 341
% New rule produced :
% [591]
% converse(composition(top,complement(converse(A)))) join composition(A,top) ->
% top
% Current number of equations to process: 4713
% Current number of ordered equations: 0
% Current number of rules: 342
% Rule [380]
% composition(converse(A),A) join complement(one) ->
% converse(composition(top,A)) join complement(one) is composed into
% [380]
% composition(converse(A),A) join complement(one) ->
% composition(top,A) join complement(one)
% New rule produced :
% [592]
% converse(composition(top,A)) join complement(one) ->
% composition(top,A) join complement(one)
% Current number of equations to process: 4780
% Current number of ordered equations: 0
% Current number of rules: 343
% New rule produced :
% [593]
% composition(top,complement(A)) join complement(composition(top,A)) ->
% composition(top,complement(A))
% Current number of equations to process: 2690
% Current number of ordered equations: 0
% Current number of rules: 344
% New rule produced :
% [594]
% composition(complement(A),top) join complement(composition(top,A)) ->
% composition(complement(A),top)
% Current number of equations to process: 2689
% Current number of ordered equations: 0
% Current number of rules: 345
% New rule produced :
% [595]
% composition(composition(A,top),composition(complement(one),top)) ->
% composition(A,composition(complement(one),top))
% Current number of equations to process: 2688
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced :
% [596]
% composition(composition(top,complement(one)),composition(top,A)) ->
% composition(composition(complement(one),top),A)
% Current number of equations to process: 2687
% Current number of ordered equations: 0
% Current number of rules: 347
% New rule produced :
% [597]
% converse(composition(composition(complement(one),top),converse(A))) <->
% composition(composition(A,complement(one)),top)
% Current number of equations to process: 2683
% Current number of ordered equations: 1
% Current number of rules: 348
% New rule produced :
% [598]
% composition(composition(A,complement(one)),top) <->
% converse(composition(composition(complement(one),top),converse(A)))
% Current number of equations to process: 2683
% Current number of ordered equations: 0
% Current number of rules: 349
% New rule produced :
% [599]
% converse(composition(converse(A),composition(complement(one),top))) <->
% composition(complement(one),composition(top,A))
% Current number of equations to process: 2682
% Current number of ordered equations: 1
% Current number of rules: 350
% New rule produced :
% [600]
% composition(complement(one),composition(top,A)) <->
% converse(composition(converse(A),composition(complement(one),top)))
% Current number of equations to process: 2682
% Current number of ordered equations: 0
% Current number of rules: 351
% New rule produced :
% [601]
% composition(top,A) join complement(composition(top,complement(A))) ->
% composition(top,A)
% Current number of equations to process: 3091
% Current number of ordered equations: 0
% Current number of rules: 352
% New rule produced :
% [602] composition(top,composition(A,top)) join complement(A) -> top
% Current number of equations to process: 3196
% Current number of ordered equations: 0
% Current number of rules: 353
% New rule produced :
% [603]
% composition(top,complement(A)) join complement(composition(A,top)) ->
% composition(top,complement(A))
% Current number of equations to process: 3712
% Current number of ordered equations: 0
% Current number of rules: 354
% New rule produced :
% [604]
% composition(A,composition(top,complement(B))) join B ->
% composition(A,top) join B
% Current number of equations to process: 4703
% Current number of ordered equations: 0
% Current number of rules: 355
% New rule produced :
% [605]
% complement(composition(A,complement(composition(top,composition(A,top))))) ->
% top
% Current number of equations to process: 1938
% Current number of ordered equations: 0
% Current number of rules: 356
% New rule produced :
% [606] complement(composition(composition(top,complement(A)),top)) join A -> A
% Current number of equations to process: 2823
% Current number of ordered equations: 0
% Current number of rules: 357
% New rule produced :
% [607] composition(top,composition(complement(A),top)) join A -> top
% Current number of equations to process: 3117
% Current number of ordered equations: 0
% Current number of rules: 358
% New rule produced :
% [608]
% complement(converse(composition(complement(converse(A)),top))) join A -> A
% Current number of equations to process: 3296
% Current number of ordered equations: 0
% Current number of rules: 359
% New rule produced :
% [609]
% converse(complement(composition(complement(A),top))) join converse(A) ->
% converse(A)
% Current number of equations to process: 3468
% Current number of ordered equations: 0
% Current number of rules: 360
% New rule produced :
% [610]
% converse(composition(top,composition(A,top))) join converse(complement(A)) ->
% top
% Current number of equations to process: 3521
% Current number of ordered equations: 1
% Current number of rules: 361
% New rule produced :
% [611]
% converse(composition(top,complement(A))) join converse(composition(A,top)) ->
% top
% Current number of equations to process: 3521
% Current number of ordered equations: 0
% Current number of rules: 362
% New rule produced :
% [612]
% converse(composition(composition(top,A),top)) join complement(converse(A)) ->
% top
% Current number of equations to process: 3520
% Current number of ordered equations: 0
% Current number of rules: 363
% New rule produced :
% [613]
% converse(composition(composition(top,complement(A)),top)) join converse(A) ->
% top
% Current number of equations to process: 3518
% Current number of ordered equations: 0
% Current number of rules: 364
% New rule produced :
% [614]
% composition(A,top) join complement(composition(top,complement(A))) ->
% composition(A,top)
% Current number of equations to process: 3517
% Current number of ordered equations: 0
% Current number of rules: 365
% New rule produced :
% [615]
% composition(top,A) join complement(composition(complement(A),top)) ->
% composition(top,A)
% Current number of equations to process: 3515
% Current number of ordered equations: 0
% Current number of rules: 366
% New rule produced :
% [616]
% converse(composition(top,composition(complement(converse(A)),top))) join A ->
% top
% Current number of equations to process: 3514
% Current number of ordered equations: 0
% Current number of rules: 367
% New rule produced :
% [617]
% converse(composition(complement(converse(A)),top)) join composition(A,top) ->
% top
% Current number of equations to process: 3513
% Current number of ordered equations: 0
% Current number of rules: 368
% New rule produced :
% [618]
% complement(converse(composition(top,complement(converse(A))))) join A -> A
% Current number of equations to process: 4095
% Current number of ordered equations: 0
% Current number of rules: 369
% New rule produced :
% [619]
% converse(composition(composition(top,complement(converse(A))),top)) join A ->
% top
% Current number of equations to process: 4269
% Current number of ordered equations: 0
% Current number of rules: 370
% New rule produced :
% [620]
% composition(composition(top,A),top) join complement(composition(A,B)) -> top
% Current number of equations to process: 4270
% Current number of ordered equations: 0
% Current number of rules: 371
% New rule produced :
% [621]
% complement(composition(top,composition(A,top))) join complement(A) ->
% complement(A)
% Current number of equations to process: 2087
% Current number of ordered equations: 0
% Current number of rules: 372
% New rule produced :
% [622]
% converse(composition(composition(top,A),converse(A))) -> composition(A,top)
% Current number of equations to process: 2093
% Current number of ordered equations: 0
% Current number of rules: 373
% New rule produced :
% [623]
% composition(complement(one),composition(complement(one),top)) ->
% composition(complement(one),top)
% Current number of equations to process: 2157
% Current number of ordered equations: 0
% Current number of rules: 374
% New rule produced :
% [624]
% composition(converse(composition(A,top)),composition(top,A)) ->
% composition(top,A)
% Current number of equations to process: 2157
% Current number of ordered equations: 0
% Current number of rules: 375
% New rule produced :
% [625]
% composition(converse(composition(top,A)),composition(A,top)) ->
% converse(composition(top,A))
% Current number of equations to process: 2156
% Current number of ordered equations: 0
% Current number of rules: 376
% New rule produced :
% [626] composition(complement(composition(complement(A),top)),B) join A -> A
% Rule
% [476] composition(complement(composition(complement(A),top)),top) join A -> A
% collapsed.
% Current number of equations to process: 2203
% Current number of ordered equations: 0
% Current number of rules: 376
% New rule produced :
% [627]
% composition(converse(composition(A,top)),composition(A,B)) ->
% composition(composition(top,A),B)
% Current number of equations to process: 2203
% Current number of ordered equations: 0
% Current number of rules: 377
% New rule produced :
% [628]
% composition(composition(A,top),composition(converse(B),B)) ->
% composition(A,composition(top,B))
% Current number of equations to process: 2202
% Current number of ordered equations: 0
% Current number of rules: 378
% New rule produced :
% [629]
% complement(composition(complement(composition(complement(A),top)),top)) join A
% -> top
% Current number of equations to process: 2199
% Current number of ordered equations: 0
% Current number of rules: 379
% New rule produced :
% [630]
% composition(composition(A,complement(one)),complement(composition(complement(one),top)))
% -> zero
% Current number of equations to process: 2241
% Current number of ordered equations: 0
% Current number of rules: 380
% New rule produced :
% [631]
% composition(complement(one),composition(complement(composition(complement(one),top)),A))
% -> zero
% Current number of equations to process: 2277
% Current number of ordered equations: 0
% Current number of rules: 381
% New rule produced :
% [632]
% converse(composition(top,composition(A,top))) ->
% composition(composition(top,A),top)
% Rule
% [424]
% converse(composition(top,composition(complement(A),top))) join converse(A) ->
% top collapsed.
% Rule
% [434]
% converse(composition(top,composition(A,top))) join complement(converse(A)) ->
% top collapsed.
% Rule
% [610]
% converse(composition(top,composition(A,top))) join converse(complement(A)) ->
% top collapsed.
% Rule
% [616]
% converse(composition(top,composition(complement(converse(A)),top))) join A ->
% top collapsed.
% Current number of equations to process: 2284
% Current number of ordered equations: 0
% Current number of rules: 378
% New rule produced :
% [633] converse(A) join composition(composition(top,complement(A)),top) -> top
% Current number of equations to process: 2283
% Current number of ordered equations: 0
% Current number of rules: 379
% New rule produced :
% [634] composition(composition(top,A),top) join complement(converse(A)) -> top
% Current number of equations to process: 2282
% Current number of ordered equations: 0
% Current number of rules: 380
% New rule produced :
% [635] converse(complement(A)) join composition(composition(top,A),top) -> top
% Current number of equations to process: 2281
% Current number of ordered equations: 0
% Current number of rules: 381
% New rule produced :
% [636] composition(composition(top,complement(converse(A))),top) join A -> top
% Current number of equations to process: 2280
% Current number of ordered equations: 0
% Current number of rules: 382
% New rule produced :
% [637]
% composition(composition(A,top),complement(composition(top,composition(A,top))))
% -> zero
% Current number of equations to process: 2411
% Current number of ordered equations: 0
% Current number of rules: 383
% New rule produced :
% [638]
% composition(composition(A,top),composition(composition(top,A),top)) ->
% composition(A,top)
% Current number of equations to process: 2413
% Current number of ordered equations: 0
% Current number of rules: 384
% New rule produced :
% [639]
% composition(composition(A,top),converse(composition(B,top))) ->
% composition(A,converse(composition(B,top)))
% Current number of equations to process: 2412
% Current number of ordered equations: 0
% Current number of rules: 385
% New rule produced :
% [640]
% composition(A,composition(top,B)) join complement(B) ->
% composition(A,top) join complement(B)
% Current number of equations to process: 2408
% Current number of ordered equations: 0
% Current number of rules: 386
% New rule produced :
% [641]
% composition(composition(A,converse(B)),composition(B,top)) ->
% composition(A,converse(composition(top,B)))
% Current number of equations to process: 2406
% Current number of ordered equations: 0
% Current number of rules: 387
% New rule produced :
% [642]
% composition(composition(converse(A),A),composition(top,B)) ->
% composition(converse(composition(top,A)),B)
% Current number of equations to process: 2405
% Current number of ordered equations: 0
% Current number of rules: 388
% New rule produced :
% [643]
% composition(converse(composition(A,B)),composition(A,top)) ->
% converse(composition(composition(top,A),B))
% Current number of equations to process: 2404
% Current number of ordered equations: 0
% Current number of rules: 389
% New rule produced :
% [644]
% composition(converse(A),composition(A,composition(top,B))) ->
% composition(converse(composition(top,A)),B)
% Current number of equations to process: 2402
% Current number of ordered equations: 0
% Current number of rules: 390
% New rule produced :
% [645]
% converse(composition(composition(top,A),top)) ->
% composition(composition(top,A),top)
% Rule
% [555]
% converse(composition(composition(top,A),top)) join converse(complement(A)) ->
% top collapsed.
% Rule
% [612]
% converse(composition(composition(top,A),top)) join complement(converse(A)) ->
% top collapsed.
% Rule
% [613]
% converse(composition(composition(top,complement(A)),top)) join converse(A) ->
% top collapsed.
% Rule
% [619]
% converse(composition(composition(top,complement(converse(A))),top)) join A ->
% top collapsed.
% Current number of equations to process: 2396
% Current number of ordered equations: 0
% Current number of rules: 387
% New rule produced :
% [646]
% composition(composition(top,B),converse(composition(A,B))) ->
% converse(composition(composition(A,B),top))
% Current number of equations to process: 2394
% Current number of ordered equations: 0
% Current number of rules: 388
% New rule produced :
% [647]
% composition(complement(composition(top,A)),converse(composition(top,A))) ->
% zero
% Current number of equations to process: 2491
% Current number of ordered equations: 0
% Current number of rules: 389
% New rule produced :
% [648]
% composition(complement(composition(top,A)),composition(converse(A),B)) ->
% zero
% Current number of equations to process: 2492
% Current number of ordered equations: 0
% Current number of rules: 390
% New rule produced :
% [649]
% converse(composition(complement(one),complement(one))) ->
% composition(complement(one),complement(one))
% Current number of equations to process: 2744
% Current number of ordered equations: 0
% Current number of rules: 391
% New rule produced :
% [650]
% composition(complement(one),composition(top,complement(one))) ->
% composition(complement(one),top)
% Current number of equations to process: 2796
% Current number of ordered equations: 0
% Current number of rules: 392
% New rule produced :
% [651]
% composition(composition(complement(one),top),complement(one)) ->
% composition(complement(one),top)
% Current number of equations to process: 2923
% Current number of ordered equations: 0
% Current number of rules: 393
% New rule produced :
% [652]
% composition(composition(top,complement(one)),A) <->
% composition(complement(one),composition(top,A))
% Rule
% [507]
% composition(composition(top,complement(one)),top) ->
% composition(top,complement(one)) collapsed.
% Current number of equations to process: 2962
% Current number of ordered equations: 0
% Current number of rules: 393
% New rule produced :
% [653]
% composition(complement(one),complement(composition(top,complement(one)))) ->
% zero
% Current number of equations to process: 3050
% Current number of ordered equations: 0
% Current number of rules: 394
% New rule produced :
% [654]
% composition(composition(A,complement(one)),top) <->
% composition(A,composition(top,complement(one)))
% Current number of equations to process: 3047
% Current number of ordered equations: 1
% Current number of rules: 395
% New rule produced :
% [655]
% composition(A,composition(top,complement(one))) <->
% composition(composition(A,complement(one)),top)
% Current number of equations to process: 3047
% Current number of ordered equations: 0
% Current number of rules: 396
% New rule produced :
% [656]
% one join composition(A,complement(composition(complement(one),top))) -> one
% Current number of equations to process: 3043
% Current number of ordered equations: 0
% Current number of rules: 397
% New rule produced :
% [657]
% converse(composition(composition(top,complement(one)),complement(one))) ->
% composition(complement(one),top)
% Current number of equations to process: 3637
% Current number of ordered equations: 0
% Current number of rules: 398
% New rule produced :
% [658]
% composition(top,complement(composition(top,complement(one)))) ->
% complement(composition(complement(one),top))
% Current number of equations to process: 3700
% Current number of ordered equations: 0
% Current number of rules: 399
% New rule produced :
% [659]
% composition(complement(one),top) join complement(composition(A,complement(one)))
% -> top
% Current number of equations to process: 4151
% Current number of ordered equations: 0
% Current number of rules: 400
% New rule produced :
% [660]
% composition(composition(complement(one),top),complement(composition(top,
% complement(one)))) ->
% zero
% Current number of equations to process: 4150
% Current number of ordered equations: 0
% Current number of rules: 401
% Rule [546]
% composition(complement(one),composition(top,A)) <->
% converse(composition(converse(A),composition(top,complement(one)))) is composed into
% [546]
% composition(complement(one),composition(top,A)) <->
% converse(converse(composition(composition(complement(one),top),A)))
% Rule [536]
% converse(composition(complement(one),composition(top,A))) <->
% composition(converse(A),composition(top,complement(one))) is composed into
% [536]
% converse(composition(complement(one),composition(top,A))) <->
% converse(composition(composition(complement(one),top),A))
% New rule produced :
% [661]
% composition(converse(A),composition(top,complement(one))) ->
% converse(composition(composition(complement(one),top),A))
% Rule
% [537]
% composition(converse(A),composition(top,complement(one))) <->
% converse(composition(complement(one),composition(top,A))) collapsed.
% Rule
% [545]
% converse(composition(converse(A),composition(top,complement(one)))) <->
% composition(complement(one),composition(top,A)) collapsed.
% Current number of equations to process: 4149
% Current number of ordered equations: 0
% Current number of rules: 400
% Rule [600]
% composition(complement(one),composition(top,A)) <->
% converse(composition(converse(A),composition(complement(one),top))) is composed into
% [600]
% composition(complement(one),composition(top,A)) <->
% converse(converse(composition(composition(top,complement(one)),A)))
% Rule [586]
% converse(composition(complement(one),composition(top,A))) <->
% composition(converse(A),composition(complement(one),top)) is composed into
% [586]
% converse(composition(complement(one),composition(top,A))) <->
% converse(composition(composition(top,complement(one)),A))
% New rule produced :
% [662]
% composition(converse(A),composition(complement(one),top)) ->
% converse(composition(composition(top,complement(one)),A))
% Rule
% [587]
% composition(converse(A),composition(complement(one),top)) <->
% converse(composition(complement(one),composition(top,A))) collapsed.
% Rule
% [599]
% converse(composition(converse(A),composition(complement(one),top))) <->
% composition(complement(one),composition(top,A)) collapsed.
% Current number of equations to process: 4147
% Current number of ordered equations: 1
% Current number of rules: 399
% Rule [598]
% composition(composition(A,complement(one)),top) <->
% converse(composition(composition(complement(one),top),converse(A))) is composed into
% [598]
% composition(composition(A,complement(one)),top) <->
% converse(converse(composition(A,composition(top,complement(one)))))
% Rule [583]
% converse(composition(composition(A,complement(one)),top)) <->
% composition(composition(complement(one),top),converse(A)) is composed into
% [583]
% converse(composition(composition(A,complement(one)),top)) <->
% converse(composition(A,composition(top,complement(one))))
% Rule [544]
% composition(composition(A,top),complement(one)) <->
% converse(composition(composition(complement(one),top),converse(A))) is composed into
% [544]
% composition(composition(A,top),complement(one)) <->
% converse(converse(composition(A,composition(top,complement(one)))))
% Rule [534]
% converse(composition(composition(A,top),complement(one))) <->
% composition(composition(complement(one),top),converse(A)) is composed into
% [534]
% converse(composition(composition(A,top),complement(one))) <->
% converse(composition(A,composition(top,complement(one))))
% New rule produced :
% [663]
% composition(composition(complement(one),top),converse(A)) ->
% converse(composition(A,composition(top,complement(one))))
% Rule
% [535]
% composition(composition(complement(one),top),converse(A)) <->
% converse(composition(composition(A,top),complement(one))) collapsed.
% Rule
% [543]
% converse(composition(composition(complement(one),top),converse(A))) <->
% composition(composition(A,top),complement(one)) collapsed.
% Rule
% [584]
% composition(composition(complement(one),top),converse(A)) <->
% converse(composition(composition(A,complement(one)),top)) collapsed.
% Rule
% [597]
% converse(composition(composition(complement(one),top),converse(A))) <->
% composition(composition(A,complement(one)),top) collapsed.
% Current number of equations to process: 4147
% Current number of ordered equations: 0
% Current number of rules: 396
% New rule produced :
% [664]
% composition(A,composition(B,top)) join complement(composition(A,B)) -> top
% Current number of equations to process: 4145
% Current number of ordered equations: 0
% Current number of rules: 397
% New rule produced :
% [665]
% composition(top,complement(one)) join complement(composition(complement(one),top))
% -> top
% Current number of equations to process: 4143
% Current number of ordered equations: 0
% Current number of rules: 398
% New rule produced :
% [666]
% one join complement(composition(A,complement(composition(complement(one),top))))
% -> top
% Current number of equations to process: 4142
% Current number of ordered equations: 0
% Current number of rules: 399
% New rule produced :
% [667]
% composition(top,complement(one)) join complement(composition(complement(one),A))
% -> top
% Rule
% [665]
% composition(top,complement(one)) join complement(composition(complement(one),top))
% -> top collapsed.
% Current number of equations to process: 4135
% Current number of ordered equations: 0
% Current number of rules: 399
% New rule produced :
% [668]
% composition(top,composition(complement(A),top)) join composition(top,A) ->
% top
% Current number of equations to process: 4133
% Current number of ordered equations: 0
% Current number of rules: 400
% New rule produced :
% [669]
% composition(composition(top,A),top) join composition(complement(A),top) ->
% top
% Current number of equations to process: 4132
% Current number of ordered equations: 0
% Current number of rules: 401
% New rule produced :
% [670]
% composition(top,complement(A)) join composition(composition(top,A),top) ->
% top
% Current number of equations to process: 4130
% Current number of ordered equations: 0
% Current number of rules: 402
% New rule produced :
% [671]
% converse(A) join composition(composition(top,A),top) ->
% composition(composition(top,A),top)
% Current number of equations to process: 4128
% Current number of ordered equations: 0
% Current number of rules: 403
% New rule produced :
% [672]
% composition(top,A) join composition(composition(top,complement(A)),top) ->
% top
% Current number of equations to process: 4125
% Current number of ordered equations: 0
% Current number of rules: 404
% New rule produced :
% [673]
% composition(composition(top,complement(A)),top) join composition(A,top) ->
% top
% Current number of equations to process: 4124
% Current number of ordered equations: 0
% Current number of rules: 405
% New rule produced :
% [674]
% composition(top,composition(A,top)) join composition(top,complement(A)) ->
% top
% Current number of equations to process: 4122
% Current number of ordered equations: 0
% Current number of rules: 406
% New rule produced :
% [675]
% composition(composition(top,complement(one)),complement(one)) ->
% composition(complement(one),top)
% Rule
% [657]
% converse(composition(composition(top,complement(one)),complement(one))) ->
% composition(complement(one),top) collapsed.
% Current number of equations to process: 4172
% Current number of ordered equations: 0
% Current number of rules: 406
% New rule produced :
% [676]
% composition(top,composition(A,top)) join complement(composition(B,A)) -> top
% Current number of equations to process: 2074
% Current number of ordered equations: 0
% Current number of rules: 407
% New rule produced :
% [677]
% composition(complement(one),top) join composition(A,complement(one)) ->
% composition(complement(one),top)
% Current number of equations to process: 2208
% Current number of ordered equations: 0
% Current number of rules: 408
% New rule produced :
% [678]
% composition(top,complement(one)) join composition(top,A) ->
% composition(complement(one),top) join A
% Current number of equations to process: 2205
% Current number of ordered equations: 0
% Current number of rules: 409
% New rule produced :
% [679]
% composition(top,complement(one)) join composition(complement(one),A) ->
% composition(complement(one),top)
% Current number of equations to process: 2204
% Current number of ordered equations: 0
% Current number of rules: 410
% New rule produced :
% [680]
% composition(complement(A),top) join complement(composition(A,top)) ->
% composition(complement(A),top)
% Current number of equations to process: 2202
% Current number of ordered equations: 0
% Current number of rules: 411
% New rule produced :
% [681]
% composition(complement(one),top) join composition(A,top) ->
% composition(complement(one),top) join A
% Current number of equations to process: 2292
% Current number of ordered equations: 0
% Current number of rules: 412
% New rule produced :
% [682]
% composition(A,top) join complement(composition(complement(A),top)) ->
% composition(A,top)
% Current number of equations to process: 3180
% Current number of ordered equations: 0
% Current number of rules: 413
% New rule produced :
% [683] complement(composition(top,composition(complement(A),top))) join A -> A
% Current number of equations to process: 4486
% Current number of ordered equations: 0
% Current number of rules: 414
% New rule produced :
% [684]
% converse(composition(top,complement(converse(A)))) ->
% composition(complement(A),top)
% Rule [415] converse(composition(top,complement(converse(A)))) join A -> top
% collapsed.
% Rule
% [422]
% converse(composition(top,complement(converse(A)))) join composition(top,A) ->
% top collapsed.
% Rule
% [591]
% converse(composition(top,complement(converse(A)))) join composition(A,top) ->
% top collapsed.
% Rule
% [618]
% complement(converse(composition(top,complement(converse(A))))) join A -> A
% collapsed.
% Current number of equations to process: 2040
% Current number of ordered equations: 0
% Current number of rules: 411
% New rule produced : [685] complement(converse(A)) -> converse(complement(A))
% Rule
% [119]
% composition(A,complement(converse(A))) join complement(one) ->
% complement(one) collapsed.
% Rule
% [163]
% composition(top,A) join complement(converse(composition(converse(A),B))) ->
% top collapsed.
% Rule
% [174]
% complement(one) join complement(composition(A,complement(converse(A)))) ->
% top collapsed.
% Rule
% [180]
% complement(one) join complement(converse(composition(converse(A),complement(A))))
% -> top collapsed.
% Rule [191] composition(A,complement(converse(composition(top,A)))) -> zero
% collapsed.
% Rule
% [197]
% converse(composition(A,complement(converse(A)))) join complement(one) ->
% complement(one) collapsed.
% Rule
% [221]
% one join complement(composition(A,complement(converse(A)))) ->
% complement(composition(A,complement(converse(A)))) collapsed.
% Rule
% [240]
% composition(A,complement(converse(composition(converse(complement(B)),A)))) join B
% -> B collapsed.
% Rule
% [288]
% composition(complement(converse(A)),complement(composition(A,top))) ->
% composition(top,complement(composition(A,top))) collapsed.
% Rule
% [289]
% converse(composition(top,A)) join complement(converse(composition(B,A))) ->
% top collapsed.
% Rule
% [294]
% converse(composition(A,top)) join complement(converse(composition(A,B))) ->
% top collapsed.
% Rule [295] converse(composition(A,top)) join complement(converse(A)) -> top
% collapsed.
% Rule
% [299]
% complement(one) join complement(converse(composition(A,complement(converse(A)))))
% -> top collapsed.
% Rule
% [335]
% composition(composition(A,B),complement(converse(composition(top,B)))) ->
% zero collapsed.
% Rule
% [336]
% composition(B,composition(complement(converse(composition(top,B))),A)) ->
% zero collapsed.
% Rule
% [338]
% converse(complement(composition(A,complement(converse(A))))) join complement(one)
% -> top collapsed.
% Rule
% [354] converse(A) join complement(converse(complement(A))) -> converse(A)
% collapsed.
% Rule
% [355]
% converse(complement(A)) join complement(converse(A)) ->
% converse(complement(A)) collapsed.
% Rule
% [366]
% converse(complement(A)) join complement(converse(complement(A join B))) ->
% top collapsed.
% Rule
% [379]
% converse(composition(A,top)) join composition(top,complement(converse(A))) ->
% top collapsed.
% Rule
% [395]
% converse(composition(complement(converse(A)),top)) join composition(top,A) ->
% top collapsed.
% Rule
% [401]
% converse(composition(top,A)) join composition(complement(converse(A)),top) ->
% top collapsed.
% Rule [405] converse(composition(top,A)) join complement(converse(A)) -> top
% collapsed.
% Rule [411] converse(composition(complement(converse(A)),top)) join A -> top
% collapsed.
% Rule
% [413]
% converse(A) join complement(converse(composition(complement(A),top))) ->
% converse(A) collapsed.
% Rule
% [421]
% complement(converse(composition(top,A))) join complement(converse(A)) ->
% complement(converse(A)) collapsed.
% Rule
% [423]
% converse(composition(top,A)) join composition(top,complement(converse(A))) ->
% top collapsed.
% Rule
% [429]
% composition(A,top) join complement(converse(composition(B,converse(A)))) ->
% top collapsed.
% Rule
% [431]
% converse(complement(A)) join complement(converse(composition(top,A))) ->
% converse(complement(A)) collapsed.
% Rule
% [433]
% complement(converse(composition(A,top))) join complement(converse(A)) ->
% complement(converse(A)) collapsed.
% Rule
% [498]
% converse(composition(top,A)) join complement(converse(complement(A))) ->
% converse(composition(top,A)) collapsed.
% Rule
% [533]
% one join composition(A,complement(converse(composition(complement(one),A))))
% -> one collapsed.
% Rule
% [542]
% converse(composition(A,top)) join composition(complement(converse(A)),top) ->
% top collapsed.
% Rule [553] converse(complement(converse(A))) -> complement(A) collapsed.
% Rule
% [558]
% converse(A) join complement(converse(composition(top,complement(A)))) ->
% converse(A) collapsed.
% Rule
% [560]
% converse(complement(A)) join complement(converse(composition(A,top))) ->
% converse(complement(A)) collapsed.
% Rule
% [561]
% converse(composition(A,top)) join complement(converse(complement(A))) ->
% converse(composition(A,top)) collapsed.
% Rule
% [566]
% one join complement(converse(complement(complement(one) join A))) -> top
% collapsed.
% Rule
% [567]
% converse(A) join complement(converse(complement(complement(A) join B))) ->
% top collapsed.
% Rule
% [568]
% converse(complement(A)) join complement(converse(complement(composition(top,A))))
% -> top collapsed.
% Rule
% [569]
% complement(one) join complement(converse(complement(one join A))) -> top
% collapsed.
% Rule
% [570]
% converse(complement(A)) join complement(converse(complement(composition(A,top))))
% -> top collapsed.
% Rule
% [571]
% complement(converse(complement(converse(A) join B))) join complement(A) ->
% top collapsed.
% Rule
% [572]
% complement(converse(complement(converse(complement(A)) join B))) join A ->
% top collapsed.
% Rule
% [608]
% complement(converse(composition(complement(converse(A)),top))) join A -> A
% collapsed.
% Rule
% [617]
% converse(composition(complement(converse(A)),top)) join composition(A,top) ->
% top collapsed.
% Rule
% [634] composition(composition(top,A),top) join complement(converse(A)) -> top
% collapsed.
% Rule
% [636] composition(composition(top,complement(converse(A))),top) join A -> top
% collapsed.
% Rule
% [684]
% converse(composition(top,complement(converse(A)))) ->
% composition(complement(A),top) collapsed.
% Current number of equations to process: 2083
% Current number of ordered equations: 0
% Current number of rules: 363
% New rule produced :
% [686]
% converse(composition(complement(composition(top,A)),converse(A))) -> zero
% Current number of equations to process: 2082
% Current number of ordered equations: 0
% Current number of rules: 364
% New rule produced :
% [687]
% converse(complement(composition(converse(A),B))) <->
% complement(composition(converse(B),A))
% Current number of equations to process: 2080
% Current number of ordered equations: 1
% Current number of rules: 365
% New rule produced :
% [688]
% complement(composition(converse(B),A)) <->
% converse(complement(composition(converse(A),B)))
% Current number of equations to process: 2080
% Current number of ordered equations: 0
% Current number of rules: 366
% New rule produced :
% [689]
% converse(composition(complement(A),converse(A))) join complement(one) ->
% complement(one)
% Current number of equations to process: 2077
% Current number of ordered equations: 0
% Current number of rules: 367
% New rule produced :
% [690]
% converse(complement(composition(complement(A),converse(A)))) join complement(one)
% -> top
% Current number of equations to process: 2074
% Current number of ordered equations: 0
% Current number of rules: 368
% New rule produced :
% [691]
% composition(composition(A,B),converse(complement(composition(top,B)))) ->
% zero
% Current number of equations to process: 2073
% Current number of ordered equations: 0
% Current number of rules: 369
% New rule produced :
% [692]
% composition(complement(A),converse(A)) join complement(one) ->
% complement(one)
% Current number of equations to process: 2069
% Current number of ordered equations: 0
% Current number of rules: 370
% New rule produced :
% [693]
% complement(one) join complement(composition(complement(A),converse(A))) ->
% top
% Current number of equations to process: 2070
% Current number of ordered equations: 0
% Current number of rules: 371
% New rule produced :
% [694]
% one join converse(composition(complement(composition(complement(one),A)),
% converse(A))) -> one
% Current number of equations to process: 2081
% Current number of ordered equations: 0
% Current number of rules: 372
% New rule produced :
% [695]
% one join converse(complement(composition(complement(A),converse(A)))) ->
% converse(complement(composition(complement(A),converse(A))))
% Current number of equations to process: 2275
% Current number of ordered equations: 0
% Current number of rules: 373
% New rule produced :
% [696]
% composition(converse(complement(A)),complement(composition(A,top))) ->
% composition(top,complement(composition(A,top)))
% Current number of equations to process: 2274
% Current number of ordered equations: 0
% Current number of rules: 374
% New rule produced :
% [697] one join converse(complement(composition(top,complement(one)))) -> one
% Current number of equations to process: 3589
% Current number of ordered equations: 0
% Current number of rules: 375
% New rule produced :
% [698] one join converse(complement(composition(complement(one),top))) -> one
% Current number of equations to process: 3656
% Current number of ordered equations: 0
% Current number of rules: 376
% New rule produced :
% [699]
% one join converse(complement(compCputime limit exceeded (core dumped)
%
% EOF
%------------------------------------------------------------------------------