TSTP Solution File: REL019-1 by CiME---2.01
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%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : REL019-1 : TPTP v6.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n152.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32286.75MB
% OS : Linux 2.6.32-431.11.2.el6.x86_64
% CPULimit : 300s
% DateTime : Tue Jun 10 00:31:00 EDT 2014
% Result : Timeout 300.04s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : REL019-1 : TPTP v6.0.0. Released v4.0.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n152.star.cs.uiowa.edu
% % Model : x86_64 x86_64
% % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory : 32286.75MB
% % OS : Linux 2.6.32-431.11.2.el6.x86_64
% % CPULimit : 300
% % DateTime : Thu Jun 5 18:57:13 CDT 2014
% % CPUTime : 300.04
% Processing problem /tmp/CiME_10557_n152.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " join : AC; sk2,sk1,zero,top,one : constant; converse : 1; composition : 2; meet : 2; complement : 1;";
% let X = vars "A B C";
% let Axioms = equations F X "
% composition(composition(A,B),C) = composition(A,composition(B,C));
% A = complement(complement(A) join complement(B)) join complement(complement(A) join B);
% meet(A,B) = complement(complement(A) join complement(B));
% composition(A,one) = A;
% composition(A join B,C) = composition(A,C) join composition(B,C);
% converse(converse(A)) = A;
% converse(A join B) = converse(A) join converse(B);
% converse(composition(A,B)) = composition(converse(B),converse(A));
% composition(converse(A),complement(composition(A,B))) join complement(B) = complement(B);
% top = A join complement(A);
% zero = meet(A,complement(A));
% composition(sk1,top) = sk1;
% composition(sk2,top) = sk2;
% ";
%
% let s1 = status F "
% sk2 lr_lex;
% sk1 lr_lex;
% zero lr_lex;
% top lr_lex;
% converse lr_lex;
% one lr_lex;
% meet lr_lex;
% complement lr_lex;
% composition mul;
% join mul;
% ";
%
% let p1 = precedence F "
% meet > composition > complement > converse > join > one > top > zero > sk1 > sk2";
%
% let s2 = status F "
% sk2 mul;
% sk1 mul;
% zero mul;
% top mul;
% converse mul;
% one mul;
% composition mul;
% meet mul;
% complement mul;
% join mul;
% ";
%
% let p2 = precedence F "
% meet > composition > complement > converse > join > one = top = zero = sk1 = sk2";
%
% let o_auto = AUTO Axioms;
%
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
%
% let Conjectures = equations F X " composition(meet(sk1,sk2),top) = meet(sk1,sk2);"
% ;
% (*
% let Red_Axioms = normalize_equations Defining_rules Axioms;
%
% let Red_Conjectures = normalize_equations Defining_rules Conjectures;
% *)
% #time on;
%
% let res = prove_conj_by_ordered_completion o Axioms Conjectures;
%
% #time off;
%
%
% let status = if res then "unsatisfiable" else "satisfiable";
% #quit;
% Verbose level is now 1
%
% F : signature = <signature>
% X : variable_set = <variable set>
%
% Axioms : (F,X) equations = { composition(composition(A,B),C) =
% composition(A,composition(B,C)),
% A =
% complement(complement(A) join complement(B)) join
% complement(complement(A) join B),
% meet(A,B) =
% complement(complement(A) join complement(B)),
% composition(A,one) = A,
% composition(A join B,C) =
% composition(A,C) join composition(B,C),
% converse(converse(A)) = A,
% converse(A join B) =
% converse(A) join converse(B),
% converse(composition(A,B)) =
% composition(converse(B),converse(A)),
% composition(converse(A),complement(composition(A,B))) join
% complement(B) = complement(B),
% top = complement(A) join A,
% zero = meet(A,complement(A)),
% composition(sk1,top) = sk1,
% composition(sk2,top) = sk2 } (13 equation(s))
% s1 : F status = <status>
% p1 : F precedence = <precedence>
% s2 : F status = <status>
% p2 : F precedence = <precedence>
% o_auto : F term_ordering = <term ordering>
% o : F term_ordering = <term ordering>
% Conjectures : (F,X) equations = { composition(meet(sk1,sk2),top) =
% meet(sk1,sk2) } (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: 13
% 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: 12
% Current number of rules: 2
% New rule produced : [3] composition(sk1,top) -> sk1
% Current number of equations to process: 0
% Current number of ordered equations: 11
% Current number of rules: 3
% New rule produced : [4] composition(sk2,top) -> sk2
% Current number of equations to process: 0
% Current number of ordered equations: 10
% Current number of rules: 4
% New rule produced : [5] complement(A) join A -> top
% Current number of equations to process: 0
% Current number of ordered equations: 9
% Current number of rules: 5
% New rule produced : [6] meet(A,complement(A)) -> zero
% Current number of equations to process: 0
% Current number of ordered equations: 8
% Current number of rules: 6
% New rule produced : [7] 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: 7
% New rule produced :
% [8] 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: 8
% New rule produced :
% [9] 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: 9
% New rule produced :
% [10] 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: 10
% New rule produced :
% [11] meet(A,B) -> complement(complement(A) join complement(B))
% Rule [6] meet(A,complement(A)) -> zero collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% composition(complement(complement(sk2) join complement(sk1)),top) = complement(
% complement(sk2) join
% complement(sk1))
%
% Current number of equations to process: 24
% Current number of ordered equations: 9
% Current number of rules: 10
% New rule produced : [12] complement(top) -> zero
% Current number of equations to process: 23
% Current number of ordered equations: 9
% Current number of rules: 11
% New rule produced :
% [13] 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: 12
% New rule produced :
% [14]
% 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: 13
% New rule produced :
% [15]
% 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: 14
% New rule produced : [16] top join complement(complement(A)) -> top join A
% Current number of equations to process: 25
% Current number of ordered equations: 5
% Current number of rules: 15
% New rule produced :
% [17] composition(composition(A,sk1),top) -> composition(A,sk1)
% Current number of equations to process: 24
% Current number of ordered equations: 5
% Current number of rules: 16
% New rule produced :
% [18] composition(composition(A,sk2),top) -> composition(A,sk2)
% Current number of equations to process: 23
% Current number of ordered equations: 5
% Current number of rules: 17
% New rule produced :
% [19] 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: 18
% New rule produced :
% [20] 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: 19
% New rule produced :
% [21] 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: 20
% New rule produced :
% [22] 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: 21
% New rule produced :
% [23] 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: 22
% New rule produced :
% [24] composition(A,composition(one,B)) -> composition(A,B)
% Current number of equations to process: 27
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [25] composition(sk1,composition(top,A)) -> composition(sk1,A)
% Current number of equations to process: 26
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [26] composition(sk2,composition(top,A)) -> composition(sk2,A)
% Current number of equations to process: 25
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced : [27] zero join top -> top
% Current number of equations to process: 31
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [28] 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: 27
% New rule produced :
% [29] 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: 28
% New rule produced :
% [30] 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: 29
% New rule produced :
% [31]
% 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: 30
% New rule produced :
% [32]
% 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: 31
% New rule produced :
% [33]
% 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: 32
% New rule produced :
% [34]
% 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: 33
% New rule produced :
% [35] 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: 34
% New rule produced :
% [36]
% 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: 35
% New rule produced :
% [37]
% 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: 36
% New rule produced :
% [38]
% 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: 37
% New rule produced :
% [39]
% 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: 38
% New rule produced :
% [40]
% 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: 39
% New rule produced :
% [41]
% 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: 40
% New rule produced :
% [42]
% 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: 41
% New rule produced :
% [43]
% 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: 42
% New rule produced :
% [44]
% 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: 43
% New rule produced :
% [45]
% 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: 44
% New rule produced :
% [46] zero join composition(converse(sk1),complement(sk1)) -> zero
% Current number of equations to process: 38
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [47] zero join composition(converse(sk2),complement(sk2)) -> zero
% Current number of equations to process: 37
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [48]
% composition(converse(A),complement(A)) join complement(one) ->
% complement(one)
% Current number of equations to process: 41
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [49]
% zero join composition(converse(A),complement(composition(A,top))) -> zero
% Current number of equations to process: 46
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [50] zero join complement(complement(A) join complement(A)) -> A
% Current number of equations to process: 74
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [51] top join complement(complement(A) join B) -> top join complement(B)
% Rule [35] top join complement(complement(A join B) join B) -> top join A
% collapsed.
% Current number of equations to process: 73
% Current number of ordered equations: 1
% Current number of rules: 49
% New rule produced : [52] top join A <-> top join complement(B)
% Rule [16] top join complement(complement(A)) -> top join A collapsed.
% Rule
% [29] top join composition(converse(A),complement(composition(A,B))) -> top
% collapsed.
% Rule [30] top join complement(A join B) join B -> top join complement(A)
% collapsed.
% Rule [51] top join complement(complement(A) join B) -> top join complement(B)
% collapsed.
% Current number of equations to process: 74
% Current number of ordered equations: 2
% Current number of rules: 46
% Rule [52] top join A <-> top join complement(B) is composed into [52]
% top join A
% -> top
% New rule produced : [53] top join complement(B) -> top
% Current number of equations to process: 73
% Current number of ordered equations: 1
% Current number of rules: 47
% New rule produced :
% [54] zero join complement(complement(complement(A)) join A) -> complement(A)
% Current number of equations to process: 72
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced : [55] complement(complement(A)) -> A
% Rule
% [54] 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: 48
% New rule produced : [56] zero join complement(A join A) -> complement(A)
% Rule [50] 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: 48
% New rule produced :
% [57]
% 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: 49
% New rule produced :
% [58]
% 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: 50
% New rule produced :
% [59]
% 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: 51
% New rule produced :
% [60]
% 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: 52
% New rule produced : [61] 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: 53
% New rule produced :
% [62]
% 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: 54
% New rule produced :
% [63] 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: 55
% New rule produced : [64] converse(top) join complement(converse(A)) -> top
% Current number of equations to process: 94
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [65] converse(complement(converse(A))) join A -> converse(top)
% Current number of equations to process: 93
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced : [66] converse(zero) join converse(top) -> converse(top)
% Current number of equations to process: 94
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [67]
% composition(composition(A,sk1),composition(top,B)) ->
% composition(composition(A,sk1),B)
% Current number of equations to process: 93
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [68]
% composition(composition(A,sk2),composition(top,B)) ->
% composition(composition(A,sk2),B)
% Current number of equations to process: 92
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced : [69] composition(converse(one),A) -> A
% Current number of equations to process: 101
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [70]
% converse(composition(converse(A),B)) <->
% composition(converse(composition(one,B)),A)
% Current number of equations to process: 133
% Current number of ordered equations: 1
% Current number of rules: 62
% New rule produced :
% [71]
% composition(converse(composition(one,B)),A) <->
% converse(composition(converse(A),B))
% Current number of equations to process: 133
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [72]
% composition(A,converse(composition(B,converse(one)))) ->
% composition(A,converse(B))
% Current number of equations to process: 134
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [73]
% converse(composition(converse(composition(one,A)),B)) <->
% composition(converse(B),A)
% Current number of equations to process: 133
% Current number of ordered equations: 1
% Current number of rules: 65
% New rule produced :
% [74]
% composition(converse(B),A) <->
% converse(composition(converse(composition(one,A)),B))
% Current number of equations to process: 133
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced : [75] converse(top) join converse(A) -> converse(top)
% Rule [66] converse(zero) join converse(top) -> converse(top) collapsed.
% Current number of equations to process: 135
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [76] sk1 join composition(complement(sk1),top) -> composition(top,top)
% Current number of equations to process: 148
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [77] sk2 join composition(complement(sk2),top) -> composition(top,top)
% Current number of equations to process: 147
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [78] composition(zero,A) join composition(top,A) -> composition(top,A)
% Current number of equations to process: 159
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [79] composition(top,A) join complement(composition(B,A)) -> top
% Current number of equations to process: 158
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [80]
% composition(A,composition(composition(one,B),C)) ->
% composition(A,composition(B,C))
% Current number of equations to process: 161
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [81]
% converse(composition(A,composition(B,converse(C)))) <->
% composition(C,converse(composition(A,B)))
% Current number of equations to process: 157
% Current number of ordered equations: 1
% Current number of rules: 72
% New rule produced :
% [82]
% composition(C,converse(composition(A,B))) <->
% converse(composition(A,composition(B,converse(C))))
% Current number of equations to process: 157
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [83]
% converse(composition(composition(converse(A),B),C)) <->
% composition(converse(composition(B,C)),A)
% Current number of equations to process: 156
% Current number of ordered equations: 1
% Current number of rules: 74
% New rule produced :
% [84]
% composition(converse(composition(B,C)),A) <->
% converse(composition(composition(converse(A),B),C))
% Current number of equations to process: 156
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [85]
% composition(A,converse(composition(B,converse(C)))) <->
% composition(composition(A,C),converse(B))
% Current number of equations to process: 155
% Current number of ordered equations: 1
% Current number of rules: 76
% New rule produced :
% [86]
% composition(composition(A,C),converse(B)) <->
% composition(A,converse(composition(B,converse(C))))
% Current number of equations to process: 155
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [87]
% converse(composition(C,converse(composition(A,B)))) <->
% composition(A,composition(B,converse(C)))
% Current number of equations to process: 153
% Current number of ordered equations: 3
% Current number of rules: 78
% New rule produced :
% [88]
% composition(A,composition(B,converse(C))) <->
% converse(composition(C,converse(composition(A,B))))
% Current number of equations to process: 153
% Current number of ordered equations: 2
% Current number of rules: 79
% New rule produced :
% [89]
% composition(B,composition(converse(A),C)) <->
% composition(converse(composition(A,converse(B))),C)
% Current number of equations to process: 153
% Current number of ordered equations: 1
% Current number of rules: 80
% New rule produced :
% [90]
% composition(converse(composition(A,converse(B))),C) <->
% composition(B,composition(converse(A),C))
% Current number of equations to process: 153
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [91]
% converse(composition(converse(composition(B,C)),A)) <->
% composition(composition(converse(A),B),C)
% Current number of equations to process: 151
% Current number of ordered equations: 3
% Current number of rules: 82
% New rule produced :
% [92]
% composition(A,converse(composition(converse(B),C))) <->
% composition(composition(A,converse(C)),B)
% Current number of equations to process: 151
% Current number of ordered equations: 2
% Current number of rules: 83
% New rule produced :
% [93]
% composition(composition(converse(A),B),C) <->
% converse(composition(converse(composition(B,C)),A))
% Current number of equations to process: 151
% Current number of ordered equations: 1
% Current number of rules: 84
% New rule produced :
% [94]
% composition(composition(A,converse(C)),B) <->
% composition(A,converse(composition(converse(B),C)))
% Current number of equations to process: 151
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [95]
% composition(converse(B),composition(A,C)) <->
% composition(converse(composition(converse(A),B)),C)
% Current number of equations to process: 150
% Current number of ordered equations: 1
% Current number of rules: 86
% New rule produced :
% [96]
% composition(converse(composition(converse(A),B)),C) <->
% composition(converse(B),composition(A,C))
% Current number of equations to process: 150
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [97] converse(top) join complement(converse(A) join B) join B -> top
% Current number of equations to process: 151
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [98]
% converse(composition(C,composition(B,converse(A)))) <->
% composition(composition(A,converse(B)),converse(C))
% Current number of equations to process: 149
% Current number of ordered equations: 3
% Current number of rules: 89
% New rule produced :
% [99]
% converse(composition(composition(C,converse(B)),A)) <->
% composition(converse(A),composition(B,converse(C)))
% Current number of equations to process: 149
% Current number of ordered equations: 2
% Current number of rules: 90
% New rule produced :
% [100]
% composition(converse(A),composition(B,converse(C))) <->
% converse(composition(composition(C,converse(B)),A))
% Current number of equations to process: 149
% Current number of ordered equations: 1
% Current number of rules: 91
% New rule produced :
% [101]
% composition(composition(A,converse(B)),converse(C)) <->
% converse(composition(C,composition(B,converse(A))))
% Current number of equations to process: 149
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [102]
% converse(composition(C,composition(converse(B),A))) <->
% composition(composition(converse(A),B),converse(C))
% Current number of equations to process: 146
% Current number of ordered equations: 3
% Current number of rules: 93
% New rule produced :
% [103]
% converse(composition(composition(converse(C),B),A)) <->
% composition(converse(A),composition(converse(B),C))
% Current number of equations to process: 146
% Current number of ordered equations: 2
% Current number of rules: 94
% New rule produced :
% [104]
% composition(converse(A),composition(converse(B),C)) <->
% converse(composition(composition(converse(C),B),A))
% Current number of equations to process: 146
% Current number of ordered equations: 1
% Current number of rules: 95
% New rule produced :
% [105]
% composition(composition(converse(A),B),converse(C)) <->
% converse(composition(C,composition(converse(B),A)))
% Current number of equations to process: 146
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [106]
% composition(composition(A,converse(one)),converse(B)) ->
% composition(A,converse(B))
% Current number of equations to process: 159
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [107]
% converse(composition(composition(C,converse(B)),converse(A))) <->
% composition(A,composition(B,converse(C)))
% Current number of equations to process: 162
% Current number of ordered equations: 1
% Current number of rules: 98
% New rule produced :
% [108]
% composition(A,composition(B,converse(C))) <->
% converse(composition(composition(C,converse(B)),converse(A)))
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [109]
% converse(composition(composition(converse(C),B),converse(A))) <->
% composition(A,composition(converse(B),C))
% Current number of equations to process: 161
% Current number of ordered equations: 1
% Current number of rules: 100
% New rule produced :
% [110]
% composition(A,composition(converse(B),C)) <->
% converse(composition(composition(converse(C),B),converse(A)))
% Current number of equations to process: 161
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [111]
% converse(composition(converse(C),composition(B,converse(A)))) <->
% composition(composition(A,converse(B)),C)
% Current number of equations to process: 160
% Current number of ordered equations: 1
% Current number of rules: 102
% New rule produced :
% [112]
% composition(composition(A,converse(B)),C) <->
% converse(composition(converse(C),composition(B,converse(A))))
% Current number of equations to process: 160
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [113]
% converse(composition(converse(C),composition(converse(B),A))) <->
% composition(composition(converse(A),B),C)
% Current number of equations to process: 159
% Current number of ordered equations: 1
% Current number of rules: 104
% New rule produced :
% [114]
% composition(composition(converse(A),B),C) <->
% converse(composition(converse(C),composition(converse(B),A)))
% Current number of equations to process: 159
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [115]
% converse(composition(composition(A,B),converse(C))) <->
% composition(composition(C,converse(B)),converse(A))
% Current number of equations to process: 176
% Current number of ordered equations: 1
% Current number of rules: 106
% New rule produced :
% [116]
% composition(composition(C,converse(B)),converse(A)) <->
% converse(composition(composition(A,B),converse(C)))
% Current number of equations to process: 176
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [117]
% converse(composition(composition(A,converse(B)),converse(C))) <->
% composition(composition(C,B),converse(A))
% Current number of equations to process: 175
% Current number of ordered equations: 1
% Current number of rules: 108
% New rule produced :
% [118]
% composition(composition(C,B),converse(A)) <->
% converse(composition(composition(A,converse(B)),converse(C)))
% Current number of equations to process: 175
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [119]
% converse(composition(A,converse(composition(B,C)))) <->
% composition(B,converse(composition(A,converse(C))))
% Current number of equations to process: 191
% Current number of ordered equations: 1
% Current number of rules: 110
% New rule produced :
% [120]
% composition(B,converse(composition(A,converse(C)))) <->
% converse(composition(A,converse(composition(B,C))))
% Current number of equations to process: 191
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [121]
% converse(composition(A,converse(composition(B,converse(C))))) <->
% composition(B,converse(composition(A,C)))
% Current number of equations to process: 190
% Current number of ordered equations: 1
% Current number of rules: 112
% New rule produced :
% [122]
% composition(B,converse(composition(A,C))) <->
% converse(composition(A,converse(composition(B,converse(C)))))
% Current number of equations to process: 190
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [123]
% converse(composition(converse(composition(A,B)),C)) <->
% composition(converse(composition(converse(A),C)),B)
% Current number of equations to process: 205
% Current number of ordered equations: 1
% Current number of rules: 114
% New rule produced :
% [124]
% composition(converse(composition(converse(A),C)),B) <->
% converse(composition(converse(composition(A,B)),C))
% Current number of equations to process: 205
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [125]
% converse(composition(converse(composition(converse(A),B)),C)) <->
% composition(converse(composition(A,C)),B)
% Current number of equations to process: 204
% Current number of ordered equations: 1
% Current number of rules: 116
% New rule produced :
% [126]
% composition(converse(composition(A,C)),B) <->
% converse(composition(converse(composition(converse(A),B)),C))
% Current number of equations to process: 204
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [127]
% converse(composition(converse(A),composition(B,C))) <->
% composition(converse(C),composition(converse(B),A))
% Current number of equations to process: 226
% Current number of ordered equations: 1
% Current number of rules: 118
% New rule produced :
% [128]
% composition(converse(C),composition(converse(B),A)) <->
% converse(composition(converse(A),composition(B,C)))
% Current number of equations to process: 226
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [129]
% converse(composition(converse(A),composition(converse(B),C))) <->
% composition(converse(C),composition(B,A))
% Current number of equations to process: 227
% Current number of ordered equations: 1
% Current number of rules: 120
% New rule produced :
% [130]
% composition(converse(C),composition(B,A)) <->
% converse(composition(converse(A),composition(converse(B),C)))
% Current number of equations to process: 227
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [131] zero join complement(composition(converse(sk1),complement(sk1))) -> top
% Current number of equations to process: 761
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [132] zero join complement(composition(converse(sk2),complement(sk2))) -> top
% Current number of equations to process: 772
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [133]
% composition(A,complement(converse(A))) join complement(one) ->
% complement(one)
% Current number of equations to process: 786
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [134]
% converse(composition(converse(zero),top)) join complement(one) ->
% complement(one)
% Current number of equations to process: 785
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [135]
% complement(one) join complement(composition(converse(A),complement(A))) ->
% top
% Current number of equations to process: 787
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [136]
% converse(zero) join converse(composition(converse(sk1),complement(sk1))) ->
% converse(zero)
% Current number of equations to process: 786
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [137]
% converse(zero) join converse(composition(converse(sk2),complement(sk2))) ->
% converse(zero)
% Current number of equations to process: 785
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced : [138] zero join one -> one
% Current number of equations to process: 786
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [139]
% zero join composition(A,complement(composition(converse(A),top))) -> zero
% Current number of equations to process: 806
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [140]
% zero join complement(composition(converse(A),complement(composition(A,top))))
% -> top
% Current number of equations to process: 805
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [141] composition(top,A) join composition(B,A) -> composition(top,A)
% Rule [78] composition(zero,A) join composition(top,A) -> composition(top,A)
% collapsed.
% Current number of equations to process: 818
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [142]
% zero join composition(complement(converse(sk1)),complement(sk1)) ->
% zero join composition(top,complement(sk1))
% Current number of equations to process: 817
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [143]
% zero join composition(complement(converse(sk2)),complement(sk2)) ->
% zero join composition(top,complement(sk2))
% Current number of equations to process: 816
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced : [144] complement(zero) -> top
% Current number of equations to process: 818
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [145] complement(complement(A join A) join A) -> zero join zero
% Current number of equations to process: 837
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [146] complement(zero join A) join complement(B) join A -> top
% Current number of equations to process: 836
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced : [147] A join A <-> zero join A
% Current number of equations to process: 841
% Current number of ordered equations: 1
% Current number of rules: 137
% New rule produced : [148] zero join A <-> A join A
% Current number of equations to process: 841
% Current number of ordered equations: 0
% Current number of rules: 138
% Rule [145] complement(complement(A join A) join A) -> zero join zero is composed into
% [145] complement(complement(A join A) join A) -> zero
% New rule produced : [149] zero join zero -> zero
% Current number of equations to process: 853
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [150]
% composition(converse(sk1),complement(sk1)) join complement(A) ->
% complement(A)
% Current number of equations to process: 851
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [151]
% composition(converse(sk2),complement(sk2)) join complement(A) ->
% complement(A)
% Current number of equations to process: 850
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [152]
% converse(zero) join converse(complement(A join A)) -> converse(complement(A))
% Current number of equations to process: 849
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [153]
% converse(composition(converse(A),complement(A))) join complement(one) ->
% complement(one)
% Current number of equations to process: 848
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [154]
% composition(converse(A),complement(composition(A,complement(B)))) join B -> B
% Current number of equations to process: 847
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [155]
% complement(B join B) join complement(A) <->
% complement(A join A) join complement(B)
% Current number of equations to process: 846
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [156] complement(complement(A join A) join A join B) -> zero
% Current number of equations to process: 845
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [157]
% complement(complement(A) join B) join complement(A join B) -> complement(B)
% Rule
% [15]
% complement(complement(A) join complement(B)) join complement(complement(A) join B)
% -> A collapsed.
% Rule
% [63] complement(zero join complement(A)) join complement(zero join A) -> top
% collapsed.
% Current number of equations to process: 858
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [158] composition(A,B join C) -> composition(A,B) join composition(A,C)
% Rule
% [57]
% converse(composition(C,A join B)) ->
% converse(composition(C,A)) join converse(composition(C,B)) collapsed.
% Rule
% [58]
% composition(converse(A),converse(B) join converse(C)) ->
% converse(composition(B,A)) join converse(composition(C,A)) collapsed.
% Current number of equations to process: 866
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [159]
% composition(A,complement(composition(converse(A),complement(B)))) join B -> B
% Current number of equations to process: 909
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [160] converse(top) join complement(converse(A) join converse(B)) -> top
% Current number of equations to process: 918
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [161]
% composition(converse(B),complement(composition(B,top))) join complement(A) ->
% complement(A)
% Current number of equations to process: 930
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced : [162] zero join converse(top) -> converse(top)
% Current number of equations to process: 935
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [163]
% composition(complement(composition(A,sk1)),top) join composition(A,sk1) ->
% composition(top,top)
% Current number of equations to process: 934
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [164]
% composition(complement(composition(A,sk2)),top) join composition(A,sk2) ->
% composition(top,top)
% Current number of equations to process: 933
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [165]
% converse(composition(converse(A),complement(A))) join converse(complement(one))
% -> converse(complement(one))
% Current number of equations to process: 931
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [166]
% zero join composition(converse(composition(A,sk1)),complement(composition(A,sk1)))
% -> zero
% Current number of equations to process: 930
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [167]
% zero join composition(converse(composition(A,sk2)),complement(composition(A,sk2)))
% -> zero
% Current number of equations to process: 929
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [168]
% complement(composition(A,complement(composition(converse(A),B)))) join
% complement(B) -> top
% Current number of equations to process: 926
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [169]
% complement(converse(complement(A join A)) join converse(A)) ->
% zero join complement(converse(top))
% Current number of equations to process: 924
% Current number of ordered equations: 0
% Current number of rules: 155
% Rule [169]
% complement(converse(complement(A join A)) join converse(A)) ->
% zero join complement(converse(top)) is composed into [169]
% complement(
% converse(complement(
% A join A)) join
% converse(A)) ->
% zero join complement(top)
% Rule [65] converse(complement(converse(A))) join A -> converse(top) is composed into
% [65] converse(complement(converse(A))) join A -> top
% Rule [60]
% converse(complement(A join B)) join converse(A) join converse(B) ->
% converse(top) is composed into [60]
% converse(complement(A join B)) join
% converse(A) join converse(B) -> top
% Rule [19] converse(complement(A)) join converse(A) -> converse(top) is composed into
% [19] converse(complement(A)) join converse(A) -> top
% New rule produced : [170] converse(top) -> top
% Rule [64] converse(top) join complement(converse(A)) -> top collapsed.
% Rule [75] converse(top) join converse(A) -> converse(top) collapsed.
% Rule [97] converse(top) join complement(converse(A) join B) join B -> top
% collapsed.
% Rule [160] converse(top) join complement(converse(A) join converse(B)) -> top
% collapsed.
% Rule [162] zero join converse(top) -> converse(top) collapsed.
% Current number of equations to process: 925
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced : [171] complement(zero join A) join A join B -> top
% Rule [146] complement(zero join A) join complement(B) join A -> top
% collapsed.
% Current number of equations to process: 929
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [172] composition(converse(sk1),complement(sk1)) join A -> A
% Rule [46] zero join composition(converse(sk1),complement(sk1)) -> zero
% collapsed.
% Rule
% [150]
% composition(converse(sk1),complement(sk1)) join complement(A) ->
% complement(A) collapsed.
% Current number of equations to process: 938
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [173] composition(converse(sk2),complement(sk2)) join A -> A
% Rule [47] zero join composition(converse(sk2),complement(sk2)) -> zero
% collapsed.
% Rule
% [151]
% composition(converse(sk2),complement(sk2)) join complement(A) ->
% complement(A) collapsed.
% Current number of equations to process: 937
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced : [174] zero join complement(zero join A) -> complement(A)
% Rule [61] zero join complement(zero join complement(A)) -> A collapsed.
% Current number of equations to process: 938
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced : [175] complement(zero join A) join A -> top
% Rule [171] complement(zero join A) join A join B -> top collapsed.
% Current number of equations to process: 938
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [176] composition(converse(B),complement(composition(B,top))) join A -> A
% Rule
% [49]
% zero join composition(converse(A),complement(composition(A,top))) -> zero
% collapsed.
% Rule
% [161]
% composition(converse(B),complement(composition(B,top))) join complement(A) ->
% complement(A) collapsed.
% Current number of equations to process: 959
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [177]
% converse(zero) join converse(complement(zero join complement(A))) ->
% converse(A)
% Current number of equations to process: 966
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced : [178] zero join A join A -> zero join A
% Current number of equations to process: 1023
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [179]
% complement(zero join complement(A)) join complement(B) ->
% complement(B) join A
% Current number of equations to process: 1021
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [180] converse(complement(converse(zero))) join complement(A) -> top
% Current number of equations to process: 1109
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [181]
% converse(complement(converse(composition(A,B)))) join composition(top,B) ->
% top
% Current number of equations to process: 1147
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [182]
% converse(complement(converse(complement(A join A)))) join complement(A) ->
% top
% Current number of equations to process: 1146
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced : [183] converse(one) -> one
% Rule [69] composition(converse(one),A) -> A collapsed.
% Rule
% [72]
% composition(A,converse(composition(B,converse(one)))) ->
% composition(A,converse(B)) collapsed.
% Rule
% [106]
% composition(composition(A,converse(one)),converse(B)) ->
% composition(A,converse(B)) collapsed.
% Current number of equations to process: 1177
% Current number of ordered equations: 0
% Current number of rules: 152
% Rule [74]
% composition(converse(B),A) <->
% converse(composition(converse(composition(one,A)),B)) is composed into
% [74] composition(converse(B),A) <-> converse(composition(converse(A),B))
% Rule [70]
% converse(composition(converse(A),B)) <->
% composition(converse(composition(one,B)),A) is composed into [70]
% converse(
% composition(
% converse(A),B))
% <->
% composition(
% converse(B),A)
% New rule produced : [184] composition(one,A) -> A
% Rule [24] composition(A,composition(one,B)) -> composition(A,B) collapsed.
% Rule
% [71]
% composition(converse(composition(one,B)),A) <->
% converse(composition(converse(A),B)) collapsed.
% Rule
% [73]
% converse(composition(converse(composition(one,A)),B)) <->
% composition(converse(B),A) collapsed.
% Rule
% [80]
% composition(A,composition(composition(one,B),C)) ->
% composition(A,composition(B,C)) collapsed.
% Current number of equations to process: 1176
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [185] composition(complement(one),A) join A -> composition(top,A)
% Current number of equations to process: 1175
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced : [186] composition(top,top) join complement(sk1) -> top
% Current number of equations to process: 1225
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [187] converse(complement(converse(sk1))) join composition(top,top) -> top
% Current number of equations to process: 1241
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced : [188] composition(top,top) join complement(sk2) -> top
% Current number of equations to process: 1246
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [189] converse(complement(converse(sk2))) join composition(top,top) -> top
% Current number of equations to process: 1262
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [190] composition(top,top) join complement(composition(A,sk1)) -> top
% Current number of equations to process: 1293
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [191] composition(top,top) join complement(composition(A,sk2)) -> top
% Current number of equations to process: 1292
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [192]
% converse(sk1) join converse(composition(complement(sk1),top)) ->
% converse(composition(top,top))
% Current number of equations to process: 1311
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [193]
% converse(sk2) join converse(composition(complement(sk2),top)) ->
% converse(composition(top,top))
% Current number of equations to process: 1310
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [194] composition(top,top) join complement(sk1 join A) join A -> top
% Current number of equations to process: 1373
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [195] composition(top,top) join complement(sk2 join A) join A -> top
% Current number of equations to process: 1371
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [196]
% converse(composition(top,A)) join converse(complement(composition(B,A))) ->
% top
% Current number of equations to process: 1369
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [197]
% composition(top,converse(A)) join complement(converse(composition(A,B))) ->
% top
% Current number of equations to process: 1368
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [198]
% composition(top,A) join complement(composition(B,composition(C,A))) -> top
% Current number of equations to process: 1367
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [199]
% converse(composition(A,top)) join complement(composition(B,converse(A))) ->
% top
% Current number of equations to process: 1364
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [200]
% composition(top,A) join complement(converse(composition(converse(A),B))) ->
% top
% Current number of equations to process: 1363
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [201]
% composition(top,composition(top,A)) join complement(composition(sk1,A)) ->
% top
% Current number of equations to process: 1362
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [202]
% composition(top,composition(top,A)) join complement(composition(sk2,A)) ->
% top
% Current number of equations to process: 1361
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [203]
% composition(B,converse(composition(converse(C),A))) <->
% composition(converse(composition(A,converse(B))),C)
% Current number of equations to process: 1359
% Current number of ordered equations: 1
% Current number of rules: 168
% New rule produced :
% [204]
% composition(converse(composition(A,converse(B))),C) <->
% composition(B,converse(composition(converse(C),A)))
% Current number of equations to process: 1359
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [205]
% converse(composition(composition(A,converse(B)),C)) <->
% composition(composition(converse(C),B),converse(A))
% Current number of equations to process: 1579
% Current number of ordered equations: 1
% Current number of rules: 170
% New rule produced :
% [206]
% composition(composition(converse(C),B),converse(A)) <->
% converse(composition(composition(A,converse(B)),C))
% Current number of equations to process: 1579
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [207]
% converse(composition(composition(A,top),converse(sk1))) ->
% composition(sk1,converse(A))
% Current number of equations to process: 1597
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [208]
% converse(composition(composition(A,top),converse(sk2))) ->
% composition(sk2,converse(A))
% Current number of equations to process: 1596
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [209]
% converse(composition(A,composition(converse(B),C))) <->
% composition(converse(C),composition(B,converse(A)))
% Current number of equations to process: 1698
% Current number of ordered equations: 1
% Current number of rules: 174
% New rule produced :
% [210]
% composition(converse(C),composition(B,converse(A))) <->
% converse(composition(A,composition(converse(B),C)))
% Current number of equations to process: 1698
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [211]
% composition(composition(A,sk1),converse(composition(B,top))) ->
% composition(composition(A,sk1),converse(B))
% Current number of equations to process: 2419
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [212]
% composition(composition(A,sk2),converse(composition(B,top))) ->
% composition(composition(A,sk2),converse(B))
% Current number of equations to process: 2418
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [213]
% converse(composition(converse(C),composition(B,converse(A)))) <->
% composition(A,composition(converse(B),C))
% Current number of equations to process: 2417
% Current number of ordered equations: 1
% Current number of rules: 178
% New rule produced :
% [214]
% composition(A,composition(converse(B),C)) <->
% converse(composition(converse(C),composition(B,converse(A))))
% Current number of equations to process: 2417
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [215]
% converse(composition(composition(converse(C),B),converse(A))) <->
% composition(composition(A,converse(B)),C)
% Current number of equations to process: 2416
% Current number of ordered equations: 1
% Current number of rules: 180
% New rule produced :
% [216]
% composition(composition(A,converse(B)),C) <->
% converse(composition(composition(converse(C),B),converse(A)))
% Current number of equations to process: 2416
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [217]
% converse(composition(top,composition(converse(sk1),A))) ->
% composition(converse(A),sk1)
% Current number of equations to process: 3784
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [218]
% converse(composition(top,composition(converse(sk2),A))) ->
% composition(converse(A),sk2)
% Current number of equations to process: 3783
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [219]
% composition(composition(A,top),converse(sk1)) ->
% converse(composition(sk1,converse(A)))
% Rule
% [207]
% converse(composition(composition(A,top),converse(sk1))) ->
% composition(sk1,converse(A)) collapsed.
% Current number of equations to process: 3875
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [220]
% composition(composition(A,top),converse(sk2)) ->
% converse(composition(sk2,converse(A)))
% Rule
% [208]
% converse(composition(composition(A,top),converse(sk2))) ->
% composition(sk2,converse(A)) collapsed.
% Current number of equations to process: 3874
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [221]
% composition(top,composition(converse(sk1),A)) ->
% converse(composition(converse(A),sk1))
% Rule
% [217]
% converse(composition(top,composition(converse(sk1),A))) ->
% composition(converse(A),sk1) collapsed.
% Current number of equations to process: 2292
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [222]
% composition(top,composition(converse(sk2),A)) ->
% converse(composition(converse(A),sk2))
% Rule
% [218]
% converse(composition(top,composition(converse(sk2),A))) ->
% composition(converse(A),sk2) collapsed.
% Current number of equations to process: 2291
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [223]
% complement(composition(converse(sk1),complement(sk1))) join complement(A) ->
% top
% Current number of equations to process: 2856
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [224]
% complement(composition(converse(sk2),complement(sk2))) join complement(A) ->
% top
% Current number of equations to process: 2865
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [225]
% complement(one) join complement(composition(A,complement(converse(A)))) ->
% top
% Current number of equations to process: 2878
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [226]
% complement(one) join complement(converse(composition(converse(zero),top))) ->
% top
% Current number of equations to process: 2950
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [227]
% converse(complement(one)) join composition(converse(zero),top) ->
% converse(complement(one))
% Current number of equations to process: 2949
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [228] composition(top,zero) join complement(one) -> complement(one)
% Current number of equations to process: 2952
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [229]
% converse(complement(composition(converse(zero),top))) join complement(one) ->
% top
% Current number of equations to process: 2951
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [230] complement(one) join complement(composition(top,zero)) -> top
% Current number of equations to process: 2966
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [231]
% converse(zero) join converse(complement(composition(converse(sk1),complement(sk1))))
% -> top
% Current number of equations to process: 2973
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [232]
% converse(zero) join converse(complement(composition(converse(sk2),complement(sk2))))
% -> top
% Current number of equations to process: 2972
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [233]
% complement(one) join complement(converse(composition(converse(A),complement(A))))
% -> top
% Current number of equations to process: 2971
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [234]
% converse(zero) join complement(converse(composition(converse(sk1),complement(sk1))))
% -> top
% Current number of equations to process: 3035
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [235]
% converse(zero) join complement(converse(composition(converse(sk2),complement(sk2))))
% -> top
% Current number of equations to process: 3049
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced : [236] one join converse(zero) -> one
% Current number of equations to process: 3059
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced : [237] composition(zero,A) join A -> A
% Current number of equations to process: 3061
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced : [238] one join converse(complement(one)) -> top
% Current number of equations to process: 3064
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [239] one join converse(complement(converse(zero))) -> top
% Current number of equations to process: 3073
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [240] one join complement(A join A) -> one join complement(A)
% Current number of equations to process: 3075
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [241] one join complement(zero join complement(A)) -> one join A
% Current number of equations to process: 3074
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [242] one join complement(composition(converse(sk1),complement(sk1))) -> top
% Current number of equations to process: 3072
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [243] one join complement(composition(converse(sk2),complement(sk2))) -> top
% Current number of equations to process: 3071
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [244]
% zero join composition(A,complement(converse(composition(top,A)))) -> zero
% Current number of equations to process: 3091
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [245]
% zero join complement(composition(A,complement(composition(converse(A),top))))
% -> top
% Current number of equations to process: 3090
% Current number of ordered equations: 0
% Current number of rules: 206
% Rule [169]
% complement(converse(complement(A join A)) join converse(A)) ->
% zero join complement(top) is composed into [169]
% complement(converse(complement(
% A join A)) join
% converse(A)) ->
% complement(top)
% Rule [147] A join A <-> zero join A is composed into [147] A join A -> A
% New rule produced : [246] zero join A -> A
% Rule [27] zero join top -> top collapsed.
% Rule [56] zero join complement(A join A) -> complement(A) collapsed.
% Rule
% [131] zero join complement(composition(converse(sk1),complement(sk1))) -> top
% collapsed.
% Rule
% [132] zero join complement(composition(converse(sk2),complement(sk2))) -> top
% collapsed.
% Rule [138] zero join one -> one collapsed.
% Rule
% [139]
% zero join composition(A,complement(composition(converse(A),top))) -> zero
% collapsed.
% Rule
% [140]
% zero join complement(composition(converse(A),complement(composition(A,top))))
% -> top collapsed.
% Rule
% [142]
% zero join composition(complement(converse(sk1)),complement(sk1)) ->
% zero join composition(top,complement(sk1)) collapsed.
% Rule
% [143]
% zero join composition(complement(converse(sk2)),complement(sk2)) ->
% zero join composition(top,complement(sk2)) collapsed.
% Rule [148] zero join A <-> A join A collapsed.
% Rule [149] zero join zero -> zero collapsed.
% Rule
% [166]
% zero join composition(converse(composition(A,sk1)),complement(composition(A,sk1)))
% -> zero collapsed.
% Rule
% [167]
% zero join composition(converse(composition(A,sk2)),complement(composition(A,sk2)))
% -> zero collapsed.
% Rule [174] zero join complement(zero join A) -> complement(A) collapsed.
% Rule [175] complement(zero join A) join A -> top collapsed.
% Rule
% [177]
% converse(zero) join converse(complement(zero join complement(A))) ->
% converse(A) collapsed.
% Rule [178] zero join A join A -> zero join A collapsed.
% Rule
% [179]
% complement(zero join complement(A)) join complement(B) ->
% complement(B) join A collapsed.
% Rule [241] one join complement(zero join complement(A)) -> one join A
% collapsed.
% Rule
% [244]
% zero join composition(A,complement(converse(composition(top,A)))) -> zero
% collapsed.
% Rule
% [245]
% zero join complement(composition(A,complement(composition(converse(A),top))))
% -> top collapsed.
% Current number of equations to process: 3108
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [247] complement(composition(converse(sk1),complement(sk1))) -> top
% Rule
% [223]
% complement(composition(converse(sk1),complement(sk1))) join complement(A) ->
% top collapsed.
% Rule
% [231]
% converse(zero) join converse(complement(composition(converse(sk1),complement(sk1))))
% -> top collapsed.
% Rule
% [242] one join complement(composition(converse(sk1),complement(sk1))) -> top
% collapsed.
% Current number of equations to process: 3109
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [248] complement(composition(converse(sk2),complement(sk2))) -> top
% Rule
% [224]
% complement(composition(converse(sk2),complement(sk2))) join complement(A) ->
% top collapsed.
% Rule
% [232]
% converse(zero) join converse(complement(composition(converse(sk2),complement(sk2))))
% -> top collapsed.
% Rule
% [243] one join complement(composition(converse(sk2),complement(sk2))) -> top
% collapsed.
% Current number of equations to process: 3108
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [249] composition(A,complement(composition(converse(A),top))) -> zero
% Current number of equations to process: 3106
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [250] composition(A,complement(converse(composition(top,A)))) -> zero
% Current number of equations to process: 3105
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [251]
% composition(complement(converse(sk1)),complement(sk1)) ->
% composition(top,complement(sk1))
% Current number of equations to process: 3104
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [252]
% composition(complement(converse(sk2)),complement(sk2)) ->
% composition(top,complement(sk2))
% Current number of equations to process: 3103
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced : [253] converse(zero) join converse(A) -> converse(A)
% Rule
% [136]
% converse(zero) join converse(composition(converse(sk1),complement(sk1))) ->
% converse(zero) collapsed.
% Rule
% [137]
% converse(zero) join converse(composition(converse(sk2),complement(sk2))) ->
% converse(zero) collapsed.
% Rule
% [152]
% converse(zero) join converse(complement(A join A)) -> converse(complement(A))
% collapsed.
% Current number of equations to process: 3104
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [254] converse(composition(converse(sk1),complement(sk1))) -> converse(zero)
% Rule
% [234]
% converse(zero) join complement(converse(composition(converse(sk1),complement(sk1))))
% -> top collapsed.
% Current number of equations to process: 3103
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [255] converse(composition(converse(sk2),complement(sk2))) -> converse(zero)
% Rule
% [235]
% converse(zero) join complement(converse(composition(converse(sk2),complement(sk2))))
% -> top collapsed.
% Current number of equations to process: 3102
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [256]
% complement(composition(converse(A),complement(composition(A,top)))) -> top
% Current number of equations to process: 3101
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [257] sk1 join composition(top,top) -> composition(top,top)
% Current number of equations to process: 3105
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [258] sk2 join composition(top,top) -> composition(top,top)
% Current number of equations to process: 3104
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [259]
% composition(converse(composition(A,sk1)),complement(composition(A,sk1))) ->
% zero
% Current number of equations to process: 3117
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [260]
% composition(converse(composition(A,sk2)),complement(composition(A,sk2))) ->
% zero
% Current number of equations to process: 3116
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [261] composition(top,top) join composition(A,sk1) -> composition(top,top)
% Current number of equations to process: 3127
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [262] composition(top,top) join composition(A,sk2) -> composition(top,top)
% Current number of equations to process: 3126
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [263] composition(converse(zero),top) join complement(one) -> complement(one)
% Current number of equations to process: 3206
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [264] complement(one) join complement(composition(converse(zero),top)) -> top
% Current number of equations to process: 3205
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [265] converse(composition(top,zero)) join complement(one) -> complement(one)
% Current number of equations to process: 3226
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [266]
% converse(composition(A,complement(converse(A)))) join complement(one) ->
% complement(one)
% Current number of equations to process: 3228
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [267]
% composition(top,A) join composition(B,composition(C,A)) -> composition(top,A)
% Current number of equations to process: 3233
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [268]
% converse(composition(converse(A),B)) join composition(top,A) ->
% composition(top,A)
% Current number of equations to process: 3232
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [269]
% converse(complement(one)) join composition(converse(A),complement(A)) ->
% converse(complement(one))
% Current number of equations to process: 3230
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [270]
% converse(complement(composition(converse(A),complement(A)))) join complement(one)
% -> top
% Current number of equations to process: 3229
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [271]
% converse(composition(top,A)) join converse(composition(B,A)) ->
% converse(composition(top,A))
% Current number of equations to process: 3338
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [272]
% converse(composition(A,B)) join composition(top,converse(A)) ->
% composition(top,converse(A))
% Current number of equations to process: 3337
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [273]
% converse(composition(A,top)) join composition(B,converse(A)) <->
% composition(top,converse(A))
% Current number of equations to process: 3336
% Current number of ordered equations: 1
% Current number of rules: 202
% Rule [273]
% converse(composition(A,top)) join composition(B,converse(A)) <->
% composition(top,converse(A)) is composed into [273]
% converse(composition(A,top)) join
% composition(B,converse(A))
% <->
% converse(composition(A,top)) join
% composition(sk2,converse(A))
% New rule produced :
% [274]
% composition(top,converse(A)) <->
% converse(composition(A,top)) join composition(B,converse(A))
% Rule
% [197]
% composition(top,converse(A)) join complement(converse(composition(A,B))) ->
% top collapsed.
% Rule
% [272]
% converse(composition(A,B)) join composition(top,converse(A)) ->
% composition(top,converse(A)) collapsed.
% Current number of equations to process: 3338
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [275] complement(complement(A join B) join complement(B)) -> B
% Current number of equations to process: 3501
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [276] complement(complement(complement(A) join B) join A) -> complement(A)
% Current number of equations to process: 3500
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [277]
% complement(converse(A) join complement(converse(complement(A)))) ->
% complement(converse(A))
% Current number of equations to process: 3537
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [278]
% complement(converse(complement(A)) join complement(converse(A))) ->
% complement(converse(complement(A)))
% Current number of equations to process: 3536
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [279]
% complement(complement(complement(A join B) join B) join A) -> complement(A)
% Current number of equations to process: 3575
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced : [280] complement(A join B) join B -> complement(A) join B
% Rule
% [62]
% complement(complement(A) join B) join B <->
% complement(complement(B) join A) join A collapsed.
% Rule [145] complement(complement(A join A) join A) -> zero collapsed.
% Rule [156] complement(complement(A join A) join A join B) -> zero collapsed.
% Rule [194] composition(top,top) join complement(sk1 join A) join A -> top
% collapsed.
% Rule [195] composition(top,top) join complement(sk2 join A) join A -> top
% collapsed.
% Rule
% [279]
% complement(complement(complement(A join B) join B) join A) -> complement(A)
% collapsed.
% Current number of equations to process: 3686
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [281]
% complement(complement(converse(complement(converse(A)))) join A) ->
% complement(A)
% Current number of equations to process: 3706
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [282]
% complement(converse(complement(converse(A))) join complement(A)) ->
% complement(converse(complement(converse(A))))
% Current number of equations to process: 3748
% Current number of ordered equations: 1
% Current number of rules: 203
% New rule produced :
% [283]
% converse(complement(converse(complement(A join B)))) join complement(B) ->
% top
% Rule
% [182]
% converse(complement(converse(complement(A join A)))) join complement(A) ->
% top collapsed.
% Current number of equations to process: 3748
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [284] complement(A join B) join complement(A) -> complement(A)
% Rule [275] complement(complement(A join B) join complement(B)) -> B
% collapsed.
% Current number of equations to process: 3800
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [285]
% composition(A,top) join composition(A,complement(B)) -> composition(A,top)
% Current number of equations to process: 3883
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [286]
% composition(A,complement(B)) join composition(A,B) -> composition(A,top)
% Current number of equations to process: 3882
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [287] composition(A,top) join composition(A,B) -> composition(A,top)
% Rule
% [285]
% composition(A,top) join composition(A,complement(B)) -> composition(A,top)
% collapsed.
% Current number of equations to process: 3923
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [288]
% complement(converse(complement(converse(complement(A)))) join A) ->
% complement(converse(complement(converse(complement(A)))))
% Current number of equations to process: 4065
% Current number of ordered equations: 1
% Current number of rules: 206
% New rule produced :
% [289]
% complement(complement(converse(complement(converse(A))) join B) join A) ->
% complement(A)
% Current number of equations to process: 4065
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [290]
% one join complement(composition(A,complement(converse(A)))) ->
% complement(composition(A,complement(converse(A))))
% Current number of equations to process: 4064
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [291]
% one join complement(converse(composition(converse(zero),top))) ->
% complement(converse(composition(converse(zero),top)))
% Current number of equations to process: 4063
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [292]
% complement(composition(top,A)) join complement(composition(B,A)) ->
% complement(composition(B,A))
% Current number of equations to process: 4062
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [293] converse(complement(converse(A) join converse(B))) join A join B -> top
% Current number of equations to process: 4250
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [294]
% composition(converse(complement(converse(B))),A) join composition(B,A) ->
% composition(top,A)
% Current number of equations to process: 4249
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [295]
% converse(complement(composition(A,converse(B)))) join composition(B,converse(A))
% -> top
% Current number of equations to process: 4248
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [296]
% converse(complement(composition(converse(A),B))) join composition(converse(B),A)
% -> top
% Current number of equations to process: 4247
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [297]
% converse(complement(converse(composition(converse(A),complement(A))))) join
% complement(one) -> top
% Current number of equations to process: 4246
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [298]
% converse(composition(A,top)) join composition(sk2,converse(A)) join complement(
% converse(
% composition(A,
% converse(B))))
% -> top
% Current number of equations to process: 4243
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [299]
% composition(composition(B,top),converse(composition(A,sk1))) ->
% converse(composition(composition(A,sk1),converse(B)))
% Current number of equations to process: 4242
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [300]
% composition(composition(B,top),converse(composition(A,sk2))) ->
% converse(composition(composition(A,sk2),converse(B)))
% Current number of equations to process: 4241
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [301]
% converse(composition(A,complement(converse(A)))) join converse(complement(one))
% -> converse(complement(one))
% Current number of equations to process: 4235
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [302]
% converse(complement(converse(composition(A,complement(converse(A)))))) join
% complement(one) -> top
% Current number of equations to process: 4234
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [303]
% converse(complement(one)) join converse(complement(composition(converse(A),
% complement(A)))) -> top
% Current number of equations to process: 4231
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced :
% [304]
% composition(sk1,A) join composition(top,composition(top,A)) ->
% composition(top,composition(top,A))
% Current number of equations to process: 4226
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced :
% [305]
% composition(sk2,A) join composition(top,composition(top,A)) ->
% composition(top,composition(top,A))
% Current number of equations to process: 4225
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced :
% [306]
% complement(composition(converse(A),complement(composition(A,complement(B))))) join B
% -> top
% Current number of equations to process: 4222
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [307]
% complement(converse(A) join complement(converse(complement(A)) join B)) ->
% complement(converse(A))
% Current number of equations to process: 4220
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced :
% [308]
% complement(one join complement(composition(converse(A),complement(A)))) ->
% composition(converse(A),complement(A))
% Current number of equations to process: 4216
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced :
% [309]
% composition(A,converse(complement(B))) join composition(A,converse(B)) ->
% composition(A,top)
% Current number of equations to process: 4215
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced :
% [310]
% composition(A,converse(complement(converse(B)))) join composition(A,B) ->
% composition(A,top)
% Current number of equations to process: 4214
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced :
% [311]
% complement(composition(A,complement(composition(converse(A),complement(B))))) join B
% -> top
% Current number of equations to process: 4213
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced :
% [312]
% composition(A,complement(converse(composition(converse(complement(B)),A)))) join B
% -> B
% Current number of equations to process: 4212
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced :
% [313]
% composition(top,sk1) join composition(complement(composition(A,sk1)),top) ->
% composition(top,top)
% Current number of equations to process: 4211
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [314]
% converse(complement(converse(composition(A,sk1)))) join composition(top,top)
% -> top
% Current number of equations to process: 4215
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced :
% [315]
% composition(top,sk2) join composition(complement(composition(A,sk2)),top) ->
% composition(top,top)
% Current number of equations to process: 4287
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced :
% [316]
% converse(complement(converse(composition(A,sk2)))) join composition(top,top)
% -> top
% Current number of equations to process: 4291
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced :
% [317]
% converse(composition(top,zero)) join converse(complement(one)) ->
% converse(complement(one))
% Current number of equations to process: 4339
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced :
% [318]
% converse(complement(one)) join complement(converse(composition(converse(A),
% complement(A)))) -> top
% Current number of equations to process: 4345
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [319]
% converse(composition(converse(zero),top)) join converse(complement(one)) ->
% converse(complement(one))
% Current number of equations to process: 4389
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced :
% [320]
% complement(composition(converse(A),complement(composition(A,B)))) join
% complement(B) -> top
% Current number of equations to process: 4445
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced :
% [321] composition(converse(A),top) -> converse(composition(top,A))
% Rule
% [134]
% converse(composition(converse(zero),top)) join complement(one) ->
% complement(one) collapsed.
% Rule
% [226]
% complement(one) join complement(converse(composition(converse(zero),top))) ->
% top collapsed.
% Rule
% [227]
% converse(complement(one)) join composition(converse(zero),top) ->
% converse(complement(one)) collapsed.
% Rule
% [229]
% converse(complement(composition(converse(zero),top))) join complement(one) ->
% top collapsed.
% Rule [249] composition(A,complement(composition(converse(A),top))) -> zero
% collapsed.
% Rule
% [263] composition(converse(zero),top) join complement(one) -> complement(one)
% collapsed.
% Rule
% [264] complement(one) join complement(composition(converse(zero),top)) -> top
% collapsed.
% Rule
% [291]
% one join complement(converse(composition(converse(zero),top))) ->
% complement(converse(composition(converse(zero),top))) collapsed.
% Rule
% [319]
% converse(composition(converse(zero),top)) join converse(complement(one)) ->
% converse(complement(one)) collapsed.
% Current number of equations to process: 4562
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced :
% [322] complement(one) join complement(converse(composition(top,zero))) -> top
% Current number of equations to process: 4600
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [323]
% composition(A,converse(composition(B,top))) <->
% composition(composition(A,top),converse(B))
% Current number of equations to process: 4598
% Current number of ordered equations: 2
% Current number of rules: 232
% New rule produced :
% [324]
% composition(composition(A,converse(B)),top) ->
% composition(A,converse(composition(top,B)))
% Current number of equations to process: 4598
% Current number of ordered equations: 1
% Current number of rules: 233
% New rule produced :
% [325]
% composition(composition(A,top),converse(B)) <->
% composition(A,converse(composition(B,top)))
% Current number of equations to process: 4598
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced :
% [326]
% composition(converse(A),composition(top,B)) <->
% composition(converse(composition(top,A)),B)
% Current number of equations to process: 4596
% Current number of ordered equations: 2
% Current number of rules: 235
% New rule produced :
% [327]
% composition(top,composition(converse(A),B)) ->
% composition(converse(composition(A,top)),B)
% Rule
% [221]
% composition(top,composition(converse(sk1),A)) ->
% converse(composition(converse(A),sk1)) collapsed.
% Rule
% [222]
% composition(top,composition(converse(sk2),A)) ->
% converse(composition(converse(A),sk2)) collapsed.
% Current number of equations to process: 4596
% Current number of ordered equations: 1
% Current number of rules: 234
% New rule produced :
% [328]
% composition(converse(composition(top,A)),B) <->
% composition(converse(A),composition(top,B))
% Current number of equations to process: 4596
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced :
% [329]
% converse(complement(converse(composition(top,zero)))) join complement(one) ->
% top
% Current number of equations to process: 4591
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [330] composition(top,complement(composition(top,complement(A)))) join A -> A
% Current number of equations to process: 4590
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced :
% [331]
% composition(converse(sk1),complement(sk1)) ->
% composition(converse(sk2),complement(sk2))
% Rule [172] composition(converse(sk1),complement(sk1)) join A -> A collapsed.
% Rule [247] complement(composition(converse(sk1),complement(sk1))) -> top
% collapsed.
% Rule
% [254] converse(composition(converse(sk1),complement(sk1))) -> converse(zero)
% collapsed.
% Current number of equations to process: 4593
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced :
% [332]
% composition(top,complement(composition(top,A))) join complement(A) ->
% complement(A)
% Current number of equations to process: 4592
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [333]
% converse(composition(composition(B,top),converse(A))) <->
% composition(composition(A,top),converse(B))
% Current number of equations to process: 4587
% Current number of ordered equations: 1
% Current number of rules: 237
% New rule produced :
% [334]
% composition(composition(A,top),converse(B)) <->
% converse(composition(composition(B,top),converse(A)))
% Current number of equations to process: 4587
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced :
% [335]
% converse(composition(B,converse(composition(A,top)))) <->
% composition(A,converse(composition(B,top)))
% Current number of equations to process: 4585
% Current number of ordered equations: 1
% Current number of rules: 239
% New rule produced :
% [336]
% composition(A,converse(composition(B,top))) <->
% converse(composition(B,converse(composition(A,top))))
% Current number of equations to process: 4585
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [337]
% converse(composition(converse(composition(top,B)),A)) <->
% composition(converse(composition(top,A)),B)
% Current number of equations to process: 4583
% Current number of ordered equations: 1
% Current number of rules: 241
% New rule produced :
% [338]
% composition(converse(composition(top,A)),B) <->
% converse(composition(converse(composition(top,B)),A))
% Current number of equations to process: 4583
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced :
% [339]
% converse(composition(converse(B),composition(top,A))) <->
% composition(converse(A),composition(top,B))
% Current number of equations to process: 4580
% Current number of ordered equations: 1
% Current number of rules: 243
% New rule produced :
% [340]
% composition(converse(A),composition(top,B)) <->
% converse(composition(converse(B),composition(top,A)))
% Current number of equations to process: 4580
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [341]
% converse(complement(one)) join composition(top,zero) ->
% converse(complement(one))
% Current number of equations to process: 4578
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [342]
% converse(composition(sk2,converse(A))) join composition(A,top) ->
% composition(A,top)
% Current number of equations to process: 4577
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [343]
% complement(composition(top,complement(composition(top,A)))) join complement(A)
% -> top
% Current number of equations to process: 4575
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [344] composition(top,complement(composition(top,top))) join A -> A
% Current number of equations to process: 4591
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [345]
% composition(converse(A),complement(composition(A,top))) ->
% composition(converse(sk2),complement(sk2))
% Rule
% [176] composition(converse(B),complement(composition(B,top))) join A -> A
% collapsed.
% Rule
% [256]
% complement(composition(converse(A),complement(composition(A,top)))) -> top
% collapsed.
% Current number of equations to process: 4591
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced : [346] converse(complement(converse(zero))) -> top
% Rule [180] converse(complement(converse(zero))) join complement(A) -> top
% collapsed.
% Rule [239] one join converse(complement(converse(zero))) -> top collapsed.
% Current number of equations to process: 4595
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [347] converse(complement(A)) join complement(converse(zero)) -> top
% Current number of equations to process: 4593
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [348]
% one join complement(composition(top,zero)) ->
% complement(composition(top,zero))
% Current number of equations to process: 4589
% Current number of ordered equations: 0
% Current number of rules: 248
% Rule [273]
% converse(composition(A,top)) join composition(B,converse(A)) <->
% converse(composition(A,top)) join composition(sk2,converse(A)) is composed into
% [273]
% converse(composition(A,top)) join composition(B,converse(A)) ->
% converse(composition(A,top))
% New rule produced :
% [349]
% converse(composition(A,top)) join composition(sk2,converse(A)) ->
% converse(composition(A,top))
% Rule
% [298]
% converse(composition(A,top)) join composition(sk2,converse(A)) join complement(
% converse(
% composition(A,
% converse(B))))
% -> top collapsed.
% Current number of equations to process: 4589
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [350]
% composition(complement(converse(A)),complement(composition(A,top))) ->
% composition(top,complement(composition(A,top)))
% Current number of equations to process: 4588
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced :
% [351]
% converse(composition(top,A)) join complement(converse(composition(B,A))) ->
% top
% Current number of equations to process: 4636
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [352]
% converse(composition(A,top)) join converse(complement(composition(A,B))) ->
% top
% Current number of equations to process: 4635
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced :
% [353]
% converse(complement(composition(converse(A),B))) join composition(top,A) ->
% top
% Current number of equations to process: 4634
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [354] converse(complement(one)) join complement(one) -> complement(one)
% Current number of equations to process: 4702
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced : [355] composition(top,A) join complement(A) -> top
% Current number of equations to process: 4703
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced : [356] composition(top,A) join A -> composition(top,A)
% Current number of equations to process: 4704
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [357] converse(complement(converse(A))) join composition(top,A) -> top
% Current number of equations to process: 4704
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [358]
% sk2 join composition(top,composition(complement(sk2),top)) ->
% composition(top,top)
% Current number of equations to process: 4705
% Current number of ordered equations: 1
% Current number of rules: 257
% New rule produced :
% [359]
% composition(top,sk2) join composition(complement(sk2),top) ->
% composition(top,top)
% Current number of equations to process: 4705
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced : [360] composition(top,top) join complement(A) -> top
% Rule [186] composition(top,top) join complement(sk1) -> top collapsed.
% Rule [188] composition(top,top) join complement(sk2) -> top collapsed.
% Rule [190] composition(top,top) join complement(composition(A,sk1)) -> top
% collapsed.
% Rule [191] composition(top,top) join complement(composition(A,sk2)) -> top
% collapsed.
% Current number of equations to process: 4709
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced : [361] composition(top,complement(A)) join A -> top
% Current number of equations to process: 4713
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [362] converse(composition(A,top)) join converse(complement(A)) -> top
% Current number of equations to process: 4731
% Current number of ordered equations: 0
% Current number of rules: 257
% Rule [359]
% composition(top,sk2) join composition(complement(sk2),top) ->
% composition(top,top) is composed into [359]
% composition(top,sk2) join
% composition(complement(sk2),top)
% -> top
% Rule [358]
% sk2 join composition(top,composition(complement(sk2),top)) ->
% composition(top,top) is composed into [358]
% sk2 join composition(top,composition(
% complement(sk2),top))
% -> top
% Rule [315]
% composition(top,sk2) join composition(complement(composition(A,sk2)),top)
% -> composition(top,top) is composed into [315]
% composition(top,sk2) join
% composition(complement(
% composition(A,sk2)),top)
% -> top
% Rule [313]
% composition(top,sk1) join composition(complement(composition(A,sk1)),top)
% -> composition(top,top) is composed into [313]
% composition(top,sk1) join
% composition(complement(
% composition(A,sk1)),top)
% -> top
% Rule [193]
% converse(sk2) join converse(composition(complement(sk2),top)) ->
% converse(composition(top,top)) is composed into [193]
% converse(sk2) join
% converse(composition(
% complement(sk2),top))
% -> converse(top)
% Rule [192]
% converse(sk1) join converse(composition(complement(sk1),top)) ->
% converse(composition(top,top)) is composed into [192]
% converse(sk1) join
% converse(composition(
% complement(sk1),top))
% -> converse(top)
% Rule [164]
% composition(complement(composition(A,sk2)),top) join composition(A,sk2)
% -> composition(top,top) is composed into [164]
% composition(complement(
% composition(A,sk2)),top) join
% composition(A,sk2) -> top
% Rule [163]
% composition(complement(composition(A,sk1)),top) join composition(A,sk1)
% -> composition(top,top) is composed into [163]
% composition(complement(
% composition(A,sk1)),top) join
% composition(A,sk1) -> top
% Rule [77] sk2 join composition(complement(sk2),top) -> composition(top,top) is composed into
% [77] sk2 join composition(complement(sk2),top) -> top
% Rule [76] sk1 join composition(complement(sk1),top) -> composition(top,top) is composed into
% [76] sk1 join composition(complement(sk1),top) -> top
% New rule produced : [363] composition(top,top) -> top
% Rule
% [187] converse(complement(converse(sk1))) join composition(top,top) -> top
% collapsed.
% Rule
% [189] converse(complement(converse(sk2))) join composition(top,top) -> top
% collapsed.
% Rule [257] sk1 join composition(top,top) -> composition(top,top) collapsed.
% Rule [258] sk2 join composition(top,top) -> composition(top,top) collapsed.
% Rule
% [261] composition(top,top) join composition(A,sk1) -> composition(top,top)
% collapsed.
% Rule
% [262] composition(top,top) join composition(A,sk2) -> composition(top,top)
% collapsed.
% Rule
% [314]
% converse(complement(converse(composition(A,sk1)))) join composition(top,top)
% -> top collapsed.
% Rule
% [316]
% converse(complement(converse(composition(A,sk2)))) join composition(top,top)
% -> top collapsed.
% Rule [344] composition(top,complement(composition(top,top))) join A -> A
% collapsed.
% Rule [360] composition(top,top) join complement(A) -> top collapsed.
% Current number of equations to process: 4740
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced : [364] composition(top,zero) join A -> A
% Rule [228] composition(top,zero) join complement(one) -> complement(one)
% collapsed.
% Rule
% [341]
% converse(complement(one)) join composition(top,zero) ->
% converse(complement(one)) collapsed.
% Current number of equations to process: 4738
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [365] sk1 join composition(top,composition(complement(sk1),top)) -> top
% Current number of equations to process: 4743
% Current number of ordered equations: 1
% Current number of rules: 248
% New rule produced :
% [366] composition(top,sk1) join composition(complement(sk1),top) -> top
% Current number of equations to process: 4743
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced :
% [367]
% composition(complement(one),composition(converse(sk2),complement(sk2))) ->
% zero
% Current number of equations to process: 4823
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [368]
% composition(top,composition(complement(one),A)) join A -> composition(top,A)
% Current number of equations to process: 4826
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced :
% [369]
% converse(composition(complement(one),A)) join converse(A) ->
% converse(composition(top,A))
% Current number of equations to process: 4825
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [370] one join converse(complement(one join A)) join converse(A) -> top
% Current number of equations to process: 4824
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced :
% [371]
% composition(top,complement(composition(A,B))) join composition(top,B) -> top
% Current number of equations to process: 4821
% Current number of ordered equations: 1
% Current number of rules: 254
% New rule produced :
% [372]
% composition(top,composition(top,A)) join complement(composition(B,A)) -> top
% Rule
% [201]
% composition(top,composition(top,A)) join complement(composition(sk1,A)) ->
% top collapsed.
% Rule
% [202]
% composition(top,composition(top,A)) join complement(composition(sk2,A)) ->
% top collapsed.
% Current number of equations to process: 4821
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced :
% [373]
% converse(composition(A,converse(complement(one)))) join converse(A) ->
% converse(composition(A,top))
% Current number of equations to process: 4866
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [374]
% converse(complement(converse(composition(A,B)))) join composition(A,top) ->
% top
% Current number of equations to process: 4911
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [375]
% converse(complement(composition(A,converse(B)))) join composition(B,top) ->
% top
% Current number of equations to process: 4910
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [376] converse(composition(top,A)) join converse(complement(A)) -> top
% Current number of equations to process: 4972
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced :
% [377]
% converse(composition(A,top)) join complement(converse(composition(A,B))) ->
% top
% Current number of equations to process: 1404
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced :
% [378] converse(sk1) join complement(composition(A,converse(sk1))) -> top
% Current number of equations to process: 1409
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [379] converse(sk2) join complement(composition(A,converse(sk2))) -> top
% Current number of equations to process: 1408
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced :
% [380] converse(composition(A,top)) join complement(converse(A)) -> top
% Current number of equations to process: 1476
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced :
% [381]
% converse(sk1) join converse(composition(sk1,converse(sk2))) -> converse(sk1)
% Current number of equations to process: 3373
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced :
% [382]
% sk1 join converse(complement(converse(composition(sk1,converse(A))))) -> top
% Current number of equations to process: 3376
% Current number of ordered equations: 0
% Current number of rules: 263
% New rule produced :
% [383] converse(sk2) join composition(sk2,converse(sk2)) -> converse(sk2)
% Current number of equations to process: 3407
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced :
% [384]
% sk2 join converse(complement(converse(composition(sk2,converse(A))))) -> top
% Current number of equations to process: 3410
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced :
% [385]
% converse(complement(one)) join converse(complement(composition(top,zero))) ->
% top
% Current number of equations to process: 3511
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced :
% [386]
% composition(top,complement(one)) join complement(composition(top,zero)) ->
% top
% Current number of equations to process: 3509
% Current number of ordered equations: 1
% Current number of rules: 267
% New rule produced :
% [387]
% composition(top,complement(composition(top,zero))) join complement(one) ->
% top
% Current number of equations to process: 3509
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced :
% [388]
% complement(one) join complement(converse(composition(A,complement(converse(A)))))
% -> top
% Current number of equations to process: 3526
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [389] complement(one) join complement(converse(complement(one))) -> top
% Current number of equations to process: 3582
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced : [390] one join complement(converse(zero)) -> top
% Current number of equations to process: 3594
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced : [391] composition(converse(zero),A) join A -> A
% Current number of equations to process: 3595
% Current number of ordered equations: 0
% Current number of rules: 272
% New rule produced : [392] composition(A,converse(zero)) join A -> A
% Current number of equations to process: 3613
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [393]
% complement(one) join complement(converse(zero)) -> complement(converse(zero))
% Current number of equations to process: 3616
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced :
% [394] converse(complement(converse(composition(zero,A)))) join A -> top
% Current number of equations to process: 3619
% Current number of ordered equations: 0
% Current number of rules: 275
% New rule produced : [395] complement(composition(zero,A)) join A -> top
% Current number of equations to process: 3620
% Current number of ordered equations: 0
% Current number of rules: 276
% New rule produced :
% [396] converse(composition(zero,A)) join converse(A) -> converse(A)
% Current number of equations to process: 3630
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced : [397] one join composition(zero,converse(zero)) -> one
% Current number of equations to process: 3676
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced : [398] composition(zero,composition(zero,A)) join A -> A
% Current number of equations to process: 3675
% Current number of ordered equations: 0
% Current number of rules: 279
% New rule produced :
% [399] sk1 join composition(complement(composition(zero,sk1)),top) -> top
% Current number of equations to process: 3673
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced :
% [400] sk2 join composition(complement(composition(zero,sk2)),top) -> top
% Current number of equations to process: 3672
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced : [401] complement(converse(complement(one))) -> one
% Rule [389] complement(one) join complement(converse(complement(one))) -> top
% collapsed.
% Current number of equations to process: 3690
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced :
% [402] composition(converse(complement(one)),A) join A -> composition(top,A)
% Current number of equations to process: 3692
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced :
% [403]
% complement(converse(complement(one)) join A) ->
% complement(complement(one) join A)
% Current number of equations to process: 3691
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced :
% [404] composition(A,converse(complement(one))) join A -> composition(A,top)
% Current number of equations to process: 3690
% Current number of ordered equations: 0
% Current number of rules: 284
% New rule produced :
% [405] converse(composition(A,converse(zero))) join converse(A) -> converse(A)
% Current number of equations to process: 3689
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced :
% [406]
% complement(composition(zero,A)) join complement(A) ->
% complement(composition(zero,A))
% Current number of equations to process: 3688
% Current number of ordered equations: 0
% Current number of rules: 286
% New rule produced :
% [407]
% complement(one join A) join complement(converse(zero)) ->
% complement(converse(zero))
% Current number of equations to process: 3687
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [408]
% complement(composition(zero,complement(A))) join A ->
% complement(composition(zero,complement(A)))
% Current number of equations to process: 3686
% Current number of ordered equations: 0
% Current number of rules: 288
% Rule [345]
% composition(converse(A),complement(composition(A,top))) ->
% composition(converse(sk2),complement(sk2)) is composed into [345]
% composition(
% converse(A),
% complement(
% composition(A,top)))
% -> zero
% Rule [331]
% composition(converse(sk1),complement(sk1)) ->
% composition(converse(sk2),complement(sk2)) is composed into [331]
% composition(
% converse(sk1),
% complement(sk1))
% -> zero
% New rule produced : [409] composition(converse(sk2),complement(sk2)) -> zero
% Rule [173] composition(converse(sk2),complement(sk2)) join A -> A collapsed.
% Rule [248] complement(composition(converse(sk2),complement(sk2))) -> top
% collapsed.
% Rule
% [255] converse(composition(converse(sk2),complement(sk2))) -> converse(zero)
% collapsed.
% Rule
% [367]
% composition(complement(one),composition(converse(sk2),complement(sk2))) ->
% zero collapsed.
% Current number of equations to process: 3688
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced : [410] composition(complement(one),zero) -> zero
% Current number of equations to process: 3687
% Current number of ordered equations: 0
% Current number of rules: 286
% New rule produced : [411] composition(zero,zero) -> zero
% Current number of equations to process: 3688
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [412] composition(zero,B) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 3686
% Current number of ordered equations: 0
% Current number of rules: 288
% New rule produced :
% [413] composition(A,zero) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 3685
% Current number of ordered equations: 0
% Current number of rules: 289
% New rule produced :
% [414]
% converse(composition(converse(B),A)) <->
% converse(zero) join composition(converse(A),B)
% Current number of equations to process: 3761
% Current number of ordered equations: 1
% Current number of rules: 290
% New rule produced :
% [415]
% converse(zero) join composition(converse(A),B) <->
% converse(composition(converse(B),A))
% Current number of equations to process: 3761
% Current number of ordered equations: 0
% Current number of rules: 291
% New rule produced : [416] converse(A) join complement(converse(zero)) -> top
% Rule [347] converse(complement(A)) join complement(converse(zero)) -> top
% collapsed.
% Current number of equations to process: 3762
% Current number of ordered equations: 0
% Current number of rules: 291
% Rule [414]
% converse(composition(converse(B),A)) <->
% converse(zero) join composition(converse(A),B) is composed into
% [414] converse(composition(converse(B),A)) <-> composition(converse(A),B)
% New rule produced : [417] converse(zero) join A -> A
% Rule [236] one join converse(zero) -> one collapsed.
% Rule [253] converse(zero) join converse(A) -> converse(A) collapsed.
% Rule
% [415]
% converse(zero) join composition(converse(A),B) <->
% converse(composition(converse(B),A)) collapsed.
% Current number of equations to process: 3762
% Current number of ordered equations: 0
% Current number of rules: 289
% New rule produced : [418] complement(converse(zero)) -> top
% Rule [346] converse(complement(converse(zero))) -> top collapsed.
% Rule [390] one join complement(converse(zero)) -> top collapsed.
% Rule
% [393]
% complement(one) join complement(converse(zero)) -> complement(converse(zero))
% collapsed.
% Rule
% [407]
% complement(one join A) join complement(converse(zero)) ->
% complement(converse(zero)) collapsed.
% Rule [416] converse(A) join complement(converse(zero)) -> top collapsed.
% Current number of equations to process: 3762
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced :
% [419]
% composition(zero,complement(A join B)) join complement(B) -> complement(B)
% Current number of equations to process: 3760
% Current number of ordered equations: 0
% Current number of rules: 286
% New rule produced :
% [420]
% composition(composition(zero,A),B) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 3763
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [421]
% composition(A,composition(zero,B)) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 3762
% Current number of ordered equations: 0
% Current number of rules: 288
% New rule produced :
% [422]
% composition(composition(A,B),complement(converse(composition(top,B)))) ->
% composition(A,zero)
% Current number of equations to process: 3758
% Current number of ordered equations: 0
% Current number of rules: 289
% New rule produced :
% [423]
% composition(B,composition(complement(converse(composition(top,B))),A)) ->
% composition(zero,A)
% Current number of equations to process: 3757
% Current number of ordered equations: 0
% Current number of rules: 290
% New rule produced :
% [424]
% composition(composition(converse(sk1),A),complement(composition(converse(A),sk1)))
% -> zero
% Current number of equations to process: 3756
% Current number of ordered equations: 0
% Current number of rules: 291
% New rule produced :
% [425]
% composition(composition(converse(sk2),A),complement(composition(converse(A),sk2)))
% -> zero
% Current number of equations to process: 3797
% Current number of ordered equations: 0
% Current number of rules: 292
% New rule produced :
% [426] converse(complement(composition(top,zero))) join complement(one) -> top
% Current number of equations to process: 3836
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced :
% [427]
% one join complement(converse(composition(top,zero))) ->
% complement(converse(composition(top,zero)))
% Current number of equations to process: 3858
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced :
% [428] converse(complement(composition(A,zero))) join complement(one) -> top
% Rule
% [426] converse(complement(composition(top,zero))) join complement(one) -> top
% collapsed.
% Current number of equations to process: 3861
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced :
% [429]
% converse(complement(one)) join composition(A,complement(converse(A))) ->
% converse(complement(one))
% Current number of equations to process: 3941
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced :
% [430]
% converse(complement(composition(A,complement(converse(A))))) join complement(one)
% -> top
% Current number of equations to process: 3940
% Current number of ordered equations: 0
% Current number of rules: 296
% New rule produced :
% [431]
% complement(A join B) join complement(composition(zero,A)) ->
% complement(composition(zero,A))
% Current number of equations to process: 3966
% Current number of ordered equations: 0
% Current number of rules: 297
% New rule produced :
% [432]
% composition(top,complement(converse(composition(top,complement(one))))) ->
% complement(converse(composition(top,complement(one))))
% Current number of equations to process: 3962
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [433]
% composition(composition(A,complement(converse(sk1))),complement(sk1)) ->
% composition(A,composition(top,complement(sk1)))
% Current number of equations to process: 3961
% Current number of ordered equations: 0
% Current number of rules: 299
% New rule produced :
% [434]
% composition(complement(converse(sk1)),composition(complement(sk1),A)) <->
% composition(composition(top,complement(sk1)),A)
% Current number of equations to process: 3960
% Current number of ordered equations: 1
% Current number of rules: 300
% New rule produced :
% [435]
% composition(composition(top,complement(sk1)),A) <->
% composition(complement(converse(sk1)),composition(complement(sk1),A))
% Current number of equations to process: 3960
% Current number of ordered equations: 0
% Current number of rules: 301
% New rule produced :
% [436]
% composition(composition(A,complement(converse(sk2))),complement(sk2)) ->
% composition(A,composition(top,complement(sk2)))
% Current number of equations to process: 3959
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced :
% [437]
% composition(complement(converse(sk2)),composition(complement(sk2),A)) <->
% composition(composition(top,complement(sk2)),A)
% Current number of equations to process: 3958
% Current number of ordered equations: 1
% Current number of rules: 303
% New rule produced :
% [438]
% composition(composition(top,complement(sk2)),A) <->
% composition(complement(converse(sk2)),composition(complement(sk2),A))
% Current number of equations to process: 3958
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced :
% [439]
% converse(composition(top,zero)) join composition(top,complement(one)) ->
% composition(top,complement(one))
% Current number of equations to process: 3957
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced :
% [440] composition(top,composition(top,A)) -> composition(top,A)
% Rule
% [304]
% composition(sk1,A) join composition(top,composition(top,A)) ->
% composition(top,composition(top,A)) collapsed.
% Rule
% [305]
% composition(sk2,A) join composition(top,composition(top,A)) ->
% composition(top,composition(top,A)) collapsed.
% Rule
% [372]
% composition(top,composition(top,A)) join complement(composition(B,A)) -> top
% collapsed.
% Current number of equations to process: 4107
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced :
% [441]
% converse(sk1) join composition(A,converse(composition(sk1,converse(B)))) ->
% converse(sk1)
% Current number of equations to process: 4138
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced :
% [442]
% converse(sk2) join composition(A,converse(composition(sk2,converse(B)))) ->
% converse(sk2)
% Current number of equations to process: 4137
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced :
% [443]
% converse(composition(A,top)) join converse(composition(A,B)) ->
% converse(composition(A,top))
% Current number of equations to process: 4211
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced :
% [444]
% converse(composition(top,A)) join composition(converse(A),B) ->
% converse(composition(top,A))
% Current number of equations to process: 4210
% Current number of ordered equations: 0
% Current number of rules: 307
% New rule produced :
% [445]
% converse(complement(one)) join complement(composition(converse(A),complement(A)))
% -> top
% Current number of equations to process: 4213
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced : [446] converse(complement(one)) -> complement(one)
% Rule
% [165]
% converse(composition(converse(A),complement(A))) join converse(complement(one))
% -> converse(complement(one)) collapsed.
% Rule [238] one join converse(complement(one)) -> top collapsed.
% Rule
% [269]
% converse(complement(one)) join composition(converse(A),complement(A)) ->
% converse(complement(one)) collapsed.
% Rule
% [301]
% converse(composition(A,complement(converse(A)))) join converse(complement(one))
% -> converse(complement(one)) collapsed.
% Rule
% [303]
% converse(complement(one)) join converse(complement(composition(converse(A),
% complement(A)))) -> top
% collapsed.
% Rule
% [317]
% converse(composition(top,zero)) join converse(complement(one)) ->
% converse(complement(one)) collapsed.
% Rule
% [318]
% converse(complement(one)) join complement(converse(composition(converse(A),
% complement(A)))) -> top
% collapsed.
% Rule [354] converse(complement(one)) join complement(one) -> complement(one)
% collapsed.
% Rule
% [373]
% converse(composition(A,converse(complement(one)))) join converse(A) ->
% converse(composition(A,top)) collapsed.
% Rule
% [385]
% converse(complement(one)) join converse(complement(composition(top,zero))) ->
% top collapsed.
% Rule [401] complement(converse(complement(one))) -> one collapsed.
% Rule
% [402] composition(converse(complement(one)),A) join A -> composition(top,A)
% collapsed.
% Rule
% [403]
% complement(converse(complement(one)) join A) ->
% complement(complement(one) join A) collapsed.
% Rule
% [404] composition(A,converse(complement(one))) join A -> composition(A,top)
% collapsed.
% Rule
% [429]
% converse(complement(one)) join composition(A,complement(converse(A))) ->
% converse(complement(one)) collapsed.
% Rule
% [445]
% converse(complement(one)) join complement(composition(converse(A),complement(A)))
% -> top collapsed.
% Current number of equations to process: 4288
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced :
% [447] composition(A,complement(one)) join A -> composition(A,top)
% Current number of equations to process: 4286
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced :
% [448]
% converse(composition(A,complement(one))) join converse(A) ->
% converse(composition(A,top))
% Current number of equations to process: 4285
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced :
% [449]
% one join complement(composition(converse(A),complement(A))) ->
% complement(composition(converse(A),complement(A)))
% Rule
% [308]
% complement(one join complement(composition(converse(A),complement(A)))) ->
% composition(converse(A),complement(A)) collapsed.
% Current number of equations to process: 4286
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced :
% [450]
% converse(composition(A,converse(B))) join composition(B,top) ->
% composition(B,top)
% Rule
% [342]
% converse(composition(sk2,converse(A))) join composition(A,top) ->
% composition(A,top) collapsed.
% Current number of equations to process: 4389
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced :
% [451]
% converse(composition(top,A)) join converse(A) -> converse(composition(top,A))
% Current number of equations to process: 4462
% Current number of ordered equations: 0
% Current number of rules: 296
% New rule produced : [452] sk1 join composition(sk1,converse(A)) -> sk1
% Current number of equations to process: 4472
% Current number of ordered equations: 0
% Current number of rules: 297
% New rule produced : [453] sk2 join composition(sk2,converse(A)) -> sk2
% Current number of equations to process: 4472
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [454] converse(composition(A,zero)) join complement(one) -> complement(one)
% Rule
% [265] converse(composition(top,zero)) join complement(one) -> complement(one)
% collapsed.
% Current number of equations to process: 4472
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [455] converse(sk1) join composition(A,converse(sk1)) -> converse(sk1)
% Current number of equations to process: 4486
% Current number of ordered equations: 0
% Current number of rules: 299
% New rule produced :
% [456] converse(sk2) join composition(A,converse(sk2)) -> converse(sk2)
% Rule [383] converse(sk2) join composition(sk2,converse(sk2)) -> converse(sk2)
% collapsed.
% Current number of equations to process: 4485
% Current number of ordered equations: 0
% Current number of rules: 299
% New rule produced :
% [457]
% converse(composition(A,top)) join converse(A) -> converse(composition(A,top))
% Current number of equations to process: 4554
% Current number of ordered equations: 0
% Current number of rules: 300
% New rule produced : [458] complement(complement(A) join B) join A -> A
% Rule
% [276] complement(complement(complement(A) join B) join A) -> complement(A)
% collapsed.
% Current number of equations to process: 4605
% Current number of ordered equations: 0
% Current number of rules: 300
% New rule produced :
% [459] converse(A) join complement(converse(complement(A))) -> converse(A)
% Rule
% [277]
% complement(converse(A) join complement(converse(complement(A)))) ->
% complement(converse(A)) collapsed.
% Current number of equations to process: 4606
% Current number of ordered equations: 0
% Current number of rules: 300
% New rule produced :
% [460]
% converse(complement(A)) join complement(converse(A)) ->
% converse(complement(A))
% Rule
% [278]
% complement(converse(complement(A)) join complement(converse(A))) ->
% complement(converse(complement(A))) collapsed.
% Current number of equations to process: 4607
% Current number of ordered equations: 0
% Current number of rules: 300
% New rule produced :
% [461] sk2 join complement(composition(complement(sk2),top)) -> sk2
% Current number of equations to process: 4660
% Current number of ordered equations: 0
% Current number of rules: 301
% New rule produced :
% [462]
% composition(complement(sk2),top) join complement(sk2) ->
% composition(complement(sk2),top)
% Current number of equations to process: 4659
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced :
% [463] sk2 join complement(composition(complement(sk2),top) join A) -> sk2
% Current number of equations to process: 4658
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced :
% [464] complement(converse(complement(converse(A)))) join A -> A
% Rule
% [281]
% complement(complement(converse(complement(converse(A)))) join A) ->
% complement(A) collapsed.
% Current number of equations to process: 4701
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced :
% [465]
% converse(complement(converse(A))) join complement(A) ->
% converse(complement(converse(A)))
% Rule
% [282]
% complement(converse(complement(converse(A))) join complement(A)) ->
% complement(converse(complement(converse(A)))) collapsed.
% Current number of equations to process: 4700
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced :
% [466] sk1 join complement(composition(complement(sk1),top)) -> sk1
% Current number of equations to process: 4771
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced :
% [467]
% composition(complement(sk1),top) join complement(sk1) ->
% composition(complement(sk1),top)
% Current number of equations to process: 4770
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced :
% [468] complement(converse(complement(converse(A))) join B) join A -> A
% Rule
% [289]
% complement(complement(converse(complement(converse(A))) join B) join A) ->
% complement(A) collapsed.
% Current number of equations to process: 4831
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced :
% [469] sk1 join complement(composition(complement(sk1),top) join A) -> sk1
% Current number of equations to process: 4830
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced :
% [470]
% converse(A) join complement(converse(complement(A)) join B) -> converse(A)
% Rule
% [307]
% complement(converse(A) join complement(converse(complement(A)) join B)) ->
% complement(converse(A)) collapsed.
% Current number of equations to process: 4994
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced :
% [471]
% complement(composition(complement(one),A)) join A ->
% complement(composition(top,A)) join A
% Current number of equations to process: 4993
% Current number of ordered equations: 0
% Current number of rules: 307
% New rule produced :
% [472]
% converse(sk1) join complement(converse(composition(complement(sk1),top))) ->
% converse(sk1)
% Current number of equations to process: 4992
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [473]
% converse(sk2) join complement(converse(composition(complement(sk2),top))) ->
% converse(sk2)
% Current number of equations to process: 4991
% Current number of ordered equations: 0
% Current number of rules: 309
% New rule produced :
% [474] complement(composition(zero,B) join A) join B -> complement(A) join B
% Current number of equations to process: 4989
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced :
% [475]
% converse(complement(A)) join complement(converse(A) join B) ->
% converse(complement(A))
% Current number of equations to process: 4985
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced :
% [476]
% converse(complement(converse(complement(complement(A) join B)))) join A ->
% top
% Current number of equations to process: 992
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [477]
% composition(complement(sk2),top) join complement(sk2 join A) ->
% composition(complement(sk2),top)
% Current number of equations to process: 1015
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [478]
% converse(complement(converse(A))) join complement(A join B) ->
% converse(complement(converse(A)))
% Current number of equations to process: 1014
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [479]
% converse(complement(A join B)) join converse(B) ->
% converse(complement(A)) join converse(B)
% Rule
% [60] converse(complement(A join B)) join converse(A) join converse(B) -> top
% collapsed.
% Rule
% [169]
% complement(converse(complement(A join A)) join converse(A)) ->
% complement(top) collapsed.
% Rule [370] one join converse(complement(one join A)) join converse(A) -> top
% collapsed.
% Current number of equations to process: 1013
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [480]
% converse(complement(A)) join complement(converse(complement(A join B))) ->
% top
% Current number of equations to process: 1019
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [481]
% converse(complement(converse(complement(composition(top,A))))) join complement(A)
% -> top
% Current number of equations to process: 1100
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [482]
% converse(complement(converse(complement(A)))) join complement(composition(zero,A))
% -> top
% Current number of equations to process: 1129
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced :
% [483] complement(composition(top,A)) join complement(A) -> complement(A)
% Current number of equations to process: 1295
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced :
% [484]
% complement(composition(top,A) join B) join complement(A) -> complement(A)
% Current number of equations to process: 1352
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced :
% [485] composition(A,top) join complement(composition(A,B)) -> top
% Current number of equations to process: 1403
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced : [486] sk1 join composition(sk1,zero) -> sk1
% Current number of equations to process: 1412
% Current number of ordered equations: 0
% Current number of rules: 319
% New rule produced : [487] sk2 join composition(sk2,zero) -> sk2
% Current number of equations to process: 1413
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [488]
% composition(A,converse(A)) join complement(one) ->
% composition(A,top) join complement(one)
% Current number of equations to process: 1542
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced :
% [489] composition(zero,complement(A)) join A -> composition(zero,top) join A
% Current number of equations to process: 1600
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced :
% [490]
% composition(zero,A) join complement(A) <->
% composition(zero,top) join complement(A)
% Current number of equations to process: 1603
% Current number of ordered equations: 1
% Current number of rules: 323
% New rule produced :
% [491]
% composition(zero,top) join complement(A) <->
% composition(zero,A) join complement(A)
% Current number of equations to process: 1603
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced : [492] sk2 join composition(sk2,A) -> sk2
% Rule [453] sk2 join composition(sk2,converse(A)) -> sk2 collapsed.
% Rule [487] sk2 join composition(sk2,zero) -> sk2 collapsed.
% Current number of equations to process: 1678
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced : [493] sk1 join composition(sk1,A) -> sk1
% Rule [452] sk1 join composition(sk1,converse(A)) -> sk1 collapsed.
% Rule [486] sk1 join composition(sk1,zero) -> sk1 collapsed.
% Current number of equations to process: 1686
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced : [494] composition(A,top) join A -> composition(A,top)
% Rule
% [462]
% composition(complement(sk2),top) join complement(sk2) ->
% composition(complement(sk2),top) collapsed.
% Rule
% [467]
% composition(complement(sk1),top) join complement(sk1) ->
% composition(complement(sk1),top) collapsed.
% Current number of equations to process: 1685
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced :
% [495]
% composition(top,composition(complement(one),top)) ->
% composition(complement(one),top)
% Current number of equations to process: 1779
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced :
% [496]
% converse(complement(A join B)) join converse(complement(A)) ->
% converse(complement(A))
% Current number of equations to process: 1811
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced :
% [497]
% converse(composition(A,top)) join composition(top,complement(converse(A))) ->
% top
% Current number of equations to process: 1810
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [498]
% composition(sk2,complement(composition(top,A))) join composition(sk2,A) ->
% sk2
% Current number of equations to process: 1808
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced :
% [499]
% composition(converse(A),A) join complement(one) ->
% converse(composition(top,A)) join complement(one)
% Current number of equations to process: 1807
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [500]
% composition(sk1,complement(composition(top,A))) join composition(sk1,A) ->
% sk1
% Current number of equations to process: 1806
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced :
% [501]
% composition(complement(composition(A,sk1)),top) join composition(A,top) ->
% top
% Current number of equations to process: 1805
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [502]
% composition(complement(composition(A,sk2)),top) join composition(A,top) ->
% top
% Current number of equations to process: 1804
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [503]
% composition(zero,composition(A,B)) join composition(A,top) ->
% composition(A,top)
% Current number of equations to process: 1803
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [504]
% composition(composition(A,sk2),B) join composition(A,sk2) ->
% composition(A,sk2)
% Current number of equations to process: 1802
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced :
% [505]
% composition(composition(A,B),C) join composition(A,top) -> composition(A,top)
% Current number of equations to process: 1801
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced :
% [506]
% composition(composition(A,sk1),B) join composition(A,sk1) ->
% composition(A,sk1)
% Current number of equations to process: 1800
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [507]
% converse(complement(converse(complement(A)))) join A ->
% converse(complement(converse(complement(A))))
% Rule
% [288]
% complement(converse(complement(converse(complement(A)))) join A) ->
% complement(converse(complement(converse(complement(A))))) collapsed.
% Current number of equations to process: 1797
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [508]
% composition(complement(sk1),top) join complement(sk1 join A) ->
% composition(complement(sk1),top)
% Current number of equations to process: 1873
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced :
% [509]
% composition(top,A) join complement(A join B) ->
% composition(top,A) join complement(B)
% Current number of equations to process: 1872
% Current number of ordered equations: 0
% Current number of rules: 335
% New rule produced :
% [510]
% complement(complement(composition(top,zero)) join A) join complement(one) ->
% complement(one)
% Current number of equations to process: 1871
% Current number of ordered equations: 0
% Current number of rules: 336
% New rule produced :
% [511]
% composition(top,complement(A)) join complement(A join B) ->
% composition(top,complement(A))
% Current number of equations to process: 1869
% Current number of ordered equations: 0
% Current number of rules: 337
% New rule produced :
% [512]
% composition(converse(composition(A,sk1)),composition(A,sk1)) ->
% converse(composition(top,composition(A,sk1)))
% Current number of equations to process: 1868
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced :
% [513]
% composition(converse(composition(A,sk2)),composition(A,sk2)) ->
% converse(composition(top,composition(A,sk2)))
% Current number of equations to process: 1867
% Current number of ordered equations: 0
% Current number of rules: 339
% New rule produced :
% [514]
% complement(composition(A,top)) join complement(composition(A,B)) ->
% complement(composition(A,B))
% Current number of equations to process: 1866
% Current number of ordered equations: 0
% Current number of rules: 340
% New rule produced :
% [515]
% composition(top,A) join composition(complement(one),top) ->
% composition(complement(one),top) join A
% Current number of equations to process: 1864
% Current number of ordered equations: 0
% Current number of rules: 341
% New rule produced :
% [516] complement(one) join complement(composition(A,zero)) -> top
% Rule [230] complement(one) join complement(composition(top,zero)) -> top
% collapsed.
% Current number of equations to process: 1998
% Current number of ordered equations: 0
% Current number of rules: 341
% New rule produced :
% [517] one join converse(complement(one join converse(A))) join A -> top
% Current number of equations to process: 2158
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced :
% [518]
% converse(complement(composition(A,converse(zero)))) join converse(A) -> top
% Current number of equations to process: 2728
% Current number of ordered equations: 0
% Current number of rules: 343
% New rule produced :
% [519]
% complement(composition(top,complement(composition(top,complement(A))))) join A
% -> top
% Current number of equations to process: 3472
% Current number of ordered equations: 0
% Current number of rules: 344
% New rule produced :
% [520]
% converse(composition(complement(A),top)) join converse(composition(A,top)) ->
% top
% Current number of equations to process: 3575
% Current number of ordered equations: 0
% Current number of rules: 345
% New rule produced :
% [521]
% converse(composition(complement(converse(A)),top)) join composition(top,A) ->
% top
% Current number of equations to process: 3858
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced :
% [522] sk1 join converse(composition(zero,converse(sk1))) -> sk1
% Current number of equations to process: 3905
% Current number of ordered equations: 0
% Current number of rules: 347
% New rule produced :
% [523] sk2 join converse(composition(zero,converse(sk2))) -> sk2
% Current number of equations to process: 3904
% Current number of ordered equations: 0
% Current number of rules: 348
% New rule produced :
% [524]
% converse(composition(composition(A,top),top)) -> converse(composition(A,top))
% Current number of equations to process: 2629
% Current number of ordered equations: 0
% Current number of rules: 349
% New rule produced :
% [525] composition(composition(A,top),top) -> composition(A,top)
% Rule
% [524]
% converse(composition(composition(A,top),top)) -> converse(composition(A,top))
% collapsed.
% Current number of equations to process: 2772
% Current number of ordered equations: 0
% Current number of rules: 349
% New rule produced : [526] composition(top,zero) -> zero
% Rule
% [322] complement(one) join complement(converse(composition(top,zero))) -> top
% collapsed.
% Rule
% [329]
% converse(complement(converse(composition(top,zero)))) join complement(one) ->
% top collapsed.
% Rule
% [348]
% one join complement(composition(top,zero)) ->
% complement(composition(top,zero)) collapsed.
% Rule [364] composition(top,zero) join A -> A collapsed.
% Rule
% [386]
% composition(top,complement(one)) join complement(composition(top,zero)) ->
% top collapsed.
% Rule
% [387]
% composition(top,complement(composition(top,zero))) join complement(one) ->
% top collapsed.
% Rule
% [427]
% one join complement(converse(composition(top,zero))) ->
% complement(converse(composition(top,zero))) collapsed.
% Rule
% [439]
% converse(composition(top,zero)) join composition(top,complement(one)) ->
% composition(top,complement(one)) collapsed.
% Rule
% [510]
% complement(complement(composition(top,zero)) join A) join complement(one) ->
% complement(one) collapsed.
% Current number of equations to process: 3088
% Current number of ordered equations: 0
% Current number of rules: 341
% New rule produced :
% [527] composition(B,complement(composition(top,complement(A)))) join A -> A
% Rule
% [330] composition(top,complement(composition(top,complement(A)))) join A -> A
% collapsed.
% Current number of equations to process: 3243
% Current number of ordered equations: 0
% Current number of rules: 341
% New rule produced :
% [528]
% composition(converse(complement(sk1)),composition(sk1,A)) ->
% composition(converse(zero),A)
% Current number of equations to process: 3245
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced :
% [529]
% composition(composition(A,converse(sk1)),complement(sk1)) ->
% composition(A,zero)
% Current number of equations to process: 3246
% Current number of ordered equations: 0
% Current number of rules: 343
% New rule produced :
% [530]
% composition(converse(sk1),composition(complement(sk1),A)) ->
% composition(zero,A)
% Current number of equations to process: 3245
% Current number of ordered equations: 0
% Current number of rules: 344
% New rule produced :
% [531] composition(converse(sk1),sk1) -> converse(composition(top,sk1))
% Current number of equations to process: 3252
% Current number of ordered equations: 0
% Current number of rules: 345
% New rule produced :
% [532]
% composition(top,complement(sk1)) join complement(composition(A,zero)) -> top
% Current number of equations to process: 3250
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced :
% [533]
% composition(top,complement(sk1)) join composition(A,zero) ->
% composition(top,complement(sk1))
% Current number of equations to process: 3248
% Current number of ordered equations: 0
% Current number of rules: 347
% New rule produced :
% [534]
% composition(B,complement(composition(top,A))) join complement(A) ->
% complement(A)
% Rule
% [332]
% composition(top,complement(composition(top,A))) join complement(A) ->
% complement(A) collapsed.
% Current number of equations to process: 3255
% Current number of ordered equations: 0
% Current number of rules: 347
% New rule produced :
% [535]
% converse(composition(top,A)) join composition(complement(converse(A)),top) ->
% top
% Current number of equations to process: 3382
% Current number of ordered equations: 0
% Current number of rules: 348
% New rule produced :
% [536]
% complement(composition(A,complement(composition(top,B)))) join complement(B)
% -> top
% Rule
% [343]
% complement(composition(top,complement(composition(top,A)))) join complement(A)
% -> top collapsed.
% Current number of equations to process: 4449
% Current number of ordered equations: 0
% Current number of rules: 348
% New rule produced :
% [537]
% composition(converse(A),composition(A,top)) -> converse(composition(top,A))
% Current number of equations to process: 4484
% Current number of ordered equations: 0
% Current number of rules: 349
% New rule produced :
% [538] composition(complement(composition(complement(A),top)),top) join A -> A
% Current number of equations to process: 4487
% Current number of ordered equations: 0
% Current number of rules: 350
% New rule produced :
% [539]
% composition(converse(composition(A,top)),complement(composition(A,top))) ->
% zero
% Current number of equations to process: 4488
% Current number of ordered equations: 0
% Current number of rules: 351
% New rule produced :
% [540]
% composition(composition(A,converse(B)),complement(composition(B,top))) ->
% composition(A,zero)
% Current number of equations to process: 4487
% Current number of ordered equations: 0
% Current number of rules: 352
% New rule produced :
% [541]
% composition(converse(B),composition(complement(composition(B,top)),A)) ->
% composition(zero,A)
% Current number of equations to process: 4486
% Current number of ordered equations: 0
% Current number of rules: 353
% New rule produced :
% [542]
% composition(converse(complement(composition(B,top))),composition(B,A)) ->
% composition(converse(zero),A)
% Current number of equations to process: 4485
% Current number of ordered equations: 0
% Current number of rules: 354
% New rule produced :
% [543]
% composition(converse(composition(B,A)),complement(composition(B,top))) ->
% composition(converse(A),zero)
% Rule
% [539]
% composition(converse(composition(A,top)),complement(composition(A,top))) ->
% zero collapsed.
% Current number of equations to process: 4484
% Current number of ordered equations: 0
% Current number of rules: 354
% New rule produced :
% [544]
% composition(A,top) join complement(converse(composition(B,converse(A)))) ->
% top
% Current number of equations to process: 4591
% Current number of ordered equations: 0
% Current number of rules: 355
% New rule produced :
% [545]
% converse(composition(top,A)) join complement(composition(converse(A),B)) ->
% top
% Current number of equations to process: 4602
% Current number of ordered equations: 0
% Current number of rules: 356
% New rule produced :
% [546] converse(composition(top,A)) join complement(converse(A)) -> top
% Current number of equations to process: 4677
% Current number of ordered equations: 0
% Current number of rules: 357
% New rule produced :
% [547] converse(sk2) join converse(complement(composition(sk2,A))) -> top
% Current number of equations to process: 4720
% Current number of ordered equations: 0
% Current number of rules: 358
% New rule produced :
% [548] converse(sk1) join converse(complement(composition(sk1,A))) -> top
% Current number of equations to process: 4721
% Current number of ordered equations: 0
% Current number of rules: 359
% New rule produced :
% [549] sk2 join composition(composition(top,complement(sk2)),top) -> top
% Current number of equations to process: 790
% Current number of ordered equations: 0
% Current number of rules: 360
% New rule produced :
% [550]
% sk2 join complement(composition(top,composition(complement(sk2),top))) -> sk2
% Current number of equations to process: 825
% Current number of ordered equations: 0
% Current number of rules: 361
% New rule produced :
% [551] converse(composition(top,complement(A))) join converse(A) -> top
% Current number of equations to process: 907
% Current number of ordered equations: 0
% Current number of rules: 362
% New rule produced :
% [552] composition(top,complement(composition(zero,A))) join A -> top
% Current number of equations to process: 976
% Current number of ordered equations: 0
% Current number of rules: 363
% New rule produced :
% [553] complement(composition(top,complement(A))) join A -> A
% Current number of equations to process: 1007
% Current number of ordered equations: 0
% Current number of rules: 364
% New rule produced :
% [554] complement(composition(top,complement(A)) join B) join A -> A
% Current number of equations to process: 1054
% Current number of ordered equations: 0
% Current number of rules: 365
% New rule produced :
% [555] converse(composition(complement(A),top)) join converse(A) -> top
% Rule
% [192]
% converse(sk1) join converse(composition(complement(sk1),top)) ->
% converse(top) collapsed.
% Rule
% [193]
% converse(sk2) join converse(composition(complement(sk2),top)) ->
% converse(top) collapsed.
% Current number of equations to process: 1059
% Current number of ordered equations: 0
% Current number of rules: 364
% New rule produced : [556] composition(A,top) join complement(A) -> top
% Current number of equations to process: 1061
% Current number of ordered equations: 0
% Current number of rules: 365
% New rule produced :
% [557]
% composition(composition(A,top),composition(top,B)) ->
% composition(A,composition(top,B))
% Current number of equations to process: 1109
% Current number of ordered equations: 0
% Current number of rules: 366
% New rule produced :
% [558] sk1 join composition(composition(top,complement(sk1)),top) -> top
% Current number of equations to process: 1114
% Current number of ordered equations: 0
% Current number of rules: 367
% New rule produced :
% [559]
% sk1 join complement(composition(top,composition(complement(sk1),top))) -> sk1
% Current number of equations to process: 1147
% Current number of ordered equations: 0
% Current number of rules: 368
% New rule produced :
% [560]
% composition(composition(top,complement(one)),A) join A -> composition(top,A)
% Current number of equations to process: 1209
% Current number of ordered equations: 0
% Current number of rules: 369
% New rule produced :
% [561]
% composition(composition(top,A),B) join complement(composition(A,B)) -> top
% Current number of equations to process: 1325
% Current number of ordered equations: 0
% Current number of rules: 370
% New rule produced :
% [562]
% composition(top,A) join complement(complement(A) join B) ->
% composition(top,A)
% Current number of equations to process: 1324
% Current number of ordered equations: 0
% Current number of rules: 371
% New rule produced :
% [563]
% composition(top,A) join complement(converse(complement(converse(A)))) ->
% composition(top,A)
% Current number of equations to process: 1323
% Current number of ordered equations: 0
% Current number of rules: 372
% New rule produced :
% [564]
% converse(sk2) join converse(composition(top,composition(complement(sk2),top)))
% -> top
% Current number of equations to process: 1322
% Current number of ordered equations: 0
% Current number of rules: 373
% New rule produced :
% [565]
% composition(top,sk2) join composition(top,composition(complement(sk2),top))
% -> top
% Current number of equations to process: 1320
% Current number of ordered equations: 0
% Current number of rules: 374
% New rule produced :
% [566]
% converse(composition(top,sk2)) join converse(composition(complement(sk2),top))
% -> top
% Current number of equations to process: 1319
% Current number of ordered equations: 0
% Current number of rules: 375
% New rule produced :
% [567]
% composition(top,sk2) join complement(composition(complement(sk2),top)) ->
% composition(top,sk2)
% Current number of equations to process: 1317
% Current number of ordered equations: 0
% Current number of rules: 376
% New rule produced :
% [568]
% composition(top,complement(composition(A,B))) join composition(A,top) -> top
% Current number of equations to process: 1312
% Current number of ordered equations: 0
% Current number of rules: 377
% New rule produced :
% [569]
% converse(complement(A)) join complement(converse(composition(A,top))) ->
% converse(complement(A))
% Current number of equations to process: 1310
% Current number of ordered equations: 0
% Current number of rules: 378
% New rule produced :
% [570]
% composition(top,sk1) join composition(top,composition(complement(sk1),top))
% -> top
% Current number of equations to process: 1309
% Current number of ordered equations: 0
% Current number of rules: 379
% New rule produced :
% [571]
% converse(sk1) join converse(composition(top,composition(complement(sk1),top)))
% -> top
% Current number of equations to process: 1308
% Current number of ordered equations: 0
% Current number of rules: 380
% New rule produced :
% [572]
% converse(composition(top,sk1)) join converse(composition(complement(sk1),top))
% -> top
% Current number of equations to process: 1305
% Current number of ordered equations: 0
% Current number of rules: 381
% New rule produced :
% [573]
% composition(top,sk1) join complement(composition(complement(sk1),top)) ->
% composition(top,sk1)
% Current number of equations to process: 1304
% Current number of ordered equations: 0
% Current number of rules: 382
% New rule produced :
% [574] converse(composition(top,complement(converse(A)))) join A -> top
% Current number of equations to process: 1320
% Current number of ordered equations: 0
% Current number of rules: 383
% New rule produced :
% [575]
% converse(composition(complement(one),converse(A))) join A ->
% composition(A,top)
% Current number of equations to process: 1323
% Current number of ordered equations: 0
% Current number of rules: 384
% New rule produced :
% [576]
% complement(converse(composition(top,A))) join complement(converse(A)) ->
% complement(converse(A))
% Current number of equations to process: 1429
% Current number of ordered equations: 0
% Current number of rules: 385
% New rule produced :
% [577]
% converse(composition(top,complement(converse(A)))) join composition(top,A) ->
% top
% Current number of equations to process: 1484
% Current number of ordered equations: 0
% Current number of rules: 386
% New rule produced :
% [578]
% converse(composition(top,A)) join composition(top,complement(converse(A))) ->
% top
% Current number of equations to process: 1483
% Current number of ordered equations: 0
% Current number of rules: 387
% New rule produced :
% [579]
% converse(composition(top,complement(A))) join converse(composition(A,top)) ->
% top
% Current number of equations to process: 1481
% Current number of ordered equations: 1
% Current number of rules: 388
% New rule produced :
% [580]
% converse(composition(top,composition(A,top))) join converse(complement(A)) ->
% top
% Current number of equations to process: 1481
% Current number of ordered equations: 0
% Current number of rules: 389
% New rule produced :
% [581] sk2 join converse(complement(converse(composition(sk2,A)))) -> top
% Rule
% [384]
% sk2 join converse(complement(converse(composition(sk2,converse(A))))) -> top
% collapsed.
% Current number of equations to process: 1623
% Current number of ordered equations: 0
% Current number of rules: 389
% New rule produced :
% [582] converse(complement(converse(A))) join composition(A,top) -> top
% Current number of equations to process: 1627
% Current number of ordered equations: 0
% Current number of rules: 390
% New rule produced :
% [583] sk1 join converse(complement(converse(composition(sk1,A)))) -> top
% Rule
% [382]
% sk1 join converse(complement(converse(composition(sk1,converse(A))))) -> top
% collapsed.
% Current number of equations to process: 1626
% Current number of ordered equations: 0
% Current number of rules: 390
% New rule produced :
% [584] sk1 join converse(complement(composition(A,converse(sk1)))) -> top
% Current number of equations to process: 1780
% Current number of ordered equations: 0
% Current number of rules: 391
% New rule produced :
% [585] sk2 join converse(complement(composition(A,converse(sk2)))) -> top
% Current number of equations to process: 1779
% Current number of ordered equations: 0
% Current number of rules: 392
% New rule produced :
% [586]
% converse(composition(top,A)) join converse(composition(complement(A),top)) ->
% top
% Rule
% [566]
% converse(composition(top,sk2)) join converse(composition(complement(sk2),top))
% -> top collapsed.
% Rule
% [572]
% converse(composition(top,sk1)) join converse(composition(complement(sk1),top))
% -> top collapsed.
% Current number of equations to process: 1921
% Current number of ordered equations: 0
% Current number of rules: 391
% New rule produced :
% [587]
% converse(complement(A)) join complement(converse(composition(top,A))) ->
% converse(complement(A))
% Current number of equations to process: 1920
% Current number of ordered equations: 0
% Current number of rules: 392
% New rule produced :
% [588]
% converse(composition(top,complement(A))) join converse(composition(top,A)) ->
% top
% Current number of equations to process: 1919
% Current number of ordered equations: 0
% Current number of rules: 393
% New rule produced :
% [589] converse(sk2) join complement(converse(composition(sk2,A))) -> top
% Current number of equations to process: 1934
% Current number of ordered equations: 0
% Current number of rules: 394
% New rule produced :
% [590] converse(sk1) join complement(converse(composition(sk1,A))) -> top
% Current number of equations to process: 1934
% Current number of ordered equations: 0
% Current number of rules: 395
% New rule produced :
% [591]
% converse(sk1) join composition(top,complement(composition(A,converse(sk1))))
% -> top
% Current number of equations to process: 2270
% Current number of ordered equations: 0
% Current number of rules: 396
% New rule produced :
% [592]
% converse(sk1) join complement(composition(A,composition(B,converse(sk1)))) ->
% top
% Current number of equations to process: 2269
% Current number of ordered equations: 0
% Current number of rules: 397
% New rule produced :
% [593]
% converse(sk1) join complement(composition(A,converse(composition(sk1,B)))) ->
% top
% Current number of equations to process: 2268
% Current number of ordered equations: 0
% Current number of rules: 398
% New rule produced :
% [594]
% converse(composition(top,sk1)) join complement(composition(A,converse(sk1)))
% -> top
% Current number of equations to process: 2266
% Current number of ordered equations: 0
% Current number of rules: 399
% New rule produced :
% [595]
% converse(sk2) join composition(top,complement(composition(A,converse(sk2))))
% -> top
% Current number of equations to process: 2265
% Current number of ordered equations: 0
% Current number of rules: 400
% New rule produced :
% [596]
% converse(sk2) join complement(composition(A,composition(B,converse(sk2)))) ->
% top
% Current number of equations to process: 2264
% Current number of ordered equations: 0
% Current number of rules: 401
% New rule produced :
% [597]
% converse(sk2) join complement(composition(A,converse(composition(sk2,B)))) ->
% top
% Current number of equations to process: 2263
% Current number of ordered equations: 0
% Current number of rules: 402
% New rule produced :
% [598]
% converse(composition(top,sk2)) join complement(composition(A,converse(sk2)))
% -> top
% Current number of equations to process: 2261
% Current number of ordered equations: 0
% Current number of rules: 403
% New rule produced :
% [599]
% complement(converse(composition(A,top))) join complement(converse(A)) ->
% complement(converse(A))
% Current number of equations to process: 2260
% Current number of ordered equations: 0
% Current number of rules: 404
% New rule produced :
% [600]
% converse(composition(top,composition(A,top))) join complement(converse(A)) ->
% top
% Current number of equations to process: 2259
% Current number of ordered equations: 0
% Current number of rules: 405
% New rule produced : [601] composition(converse(zero),zero) -> zero
% Current number of equations to process: 2358
% Current number of ordered equations: 0
% Current number of rules: 406
% New rule produced : [602] converse(composition(converse(A),zero)) join A -> A
% Current number of equations to process: 2366
% Current number of ordered equations: 0
% Current number of rules: 407
% New rule produced :
% [603] complement(composition(converse(zero),A)) join A -> top
% Current number of equations to process: 2369
% Current number of ordered equations: 0
% Current number of rules: 408
% New rule produced :
% [604] converse(composition(A,zero)) join converse(A) -> converse(A)
% Current number of equations to process: 2377
% Current number of ordered equations: 0
% Current number of rules: 409
% New rule produced :
% [605] composition(converse(zero),composition(zero,A)) join A -> A
% Current number of equations to process: 2418
% Current number of ordered equations: 1
% Current number of rules: 410
% New rule produced :
% [606] composition(zero,composition(converse(zero),A)) join A -> A
% Current number of equations to process: 2418
% Current number of ordered equations: 0
% Current number of rules: 411
% New rule produced :
% [607] composition(converse(zero),complement(A)) join A -> A
% Current number of equations to process: 2446
% Current number of ordered equations: 0
% Current number of rules: 412
% New rule produced :
% [608] composition(converse(zero),A) join complement(A) -> complement(A)
% Current number of equations to process: 2445
% Current number of ordered equations: 0
% Current number of rules: 413
% New rule produced :
% [609] converse(complement(composition(converse(A),zero))) join A -> top
% Current number of equations to process: 2452
% Current number of ordered equations: 0
% Current number of rules: 414
% New rule produced : [610] composition(zero,converse(zero)) -> zero
% Rule [397] one join composition(zero,converse(zero)) -> one collapsed.
% Current number of equations to process: 2474
% Current number of ordered equations: 0
% Current number of rules: 414
% New rule produced :
% [611] converse(composition(zero,top)) join complement(one) -> complement(one)
% Current number of equations to process: 2481
% Current number of ordered equations: 0
% Current number of rules: 415
% New rule produced :
% [612] complement(composition(A,converse(zero))) join A -> top
% Current number of equations to process: 2503
% Current number of ordered equations: 0
% Current number of rules: 416
% New rule produced : [613] converse(composition(zero,converse(A))) join A -> A
% Rule [522] sk1 join converse(composition(zero,converse(sk1))) -> sk1
% collapsed.
% Rule [523] sk2 join converse(composition(zero,converse(sk2))) -> sk2
% collapsed.
% Current number of equations to process: 2511
% Current number of ordered equations: 0
% Current number of rules: 415
% New rule produced :
% [614] composition(composition(zero,A),converse(zero)) join A -> A
% Current number of equations to process: 2557
% Current number of ordered equations: 0
% Current number of rules: 416
% New rule produced :
% [615] converse(complement(composition(zero,converse(A)))) join A -> top
% Current number of equations to process: 2585
% Current number of ordered equations: 0
% Current number of rules: 417
% New rule produced :
% [616] converse(composition(converse(zero),A)) join converse(A) -> converse(A)
% Current number of equations to process: 2609
% Current number of ordered equations: 0
% Current number of rules: 418
% New rule produced :
% [617]
% converse(complement(converse(composition(converse(zero),A)))) join A -> top
% Current number of equations to process: 2608
% Current number of ordered equations: 0
% Current number of rules: 419
% New rule produced :
% [618]
% composition(top,complement(composition(converse(zero),A))) join A -> top
% Current number of equations to process: 2606
% Current number of ordered equations: 0
% Current number of rules: 420
% New rule produced :
% [619]
% composition(top,A) join composition(A,converse(zero)) -> composition(top,A)
% Current number of equations to process: 2605
% Current number of ordered equations: 0
% Current number of rules: 421
% New rule produced :
% [620]
% converse(complement(converse(composition(A,converse(zero))))) join A -> top
% Current number of equations to process: 2604
% Current number of ordered equations: 0
% Current number of rules: 422
% New rule produced :
% [621]
% composition(top,complement(composition(A,converse(zero)))) join A -> top
% Current number of equations to process: 2601
% Current number of ordered equations: 0
% Current number of rules: 423
% New rule produced :
% [622] composition(composition(converse(zero),A),converse(zero)) join A -> A
% Current number of equations to process: 2598
% Current number of ordered equations: 1
% Current number of rules: 424
% New rule produced :
% [623] composition(converse(zero),composition(A,converse(zero))) join A -> A
% Current number of equations to process: 2598
% Current number of ordered equations: 0
% Current number of rules: 425
% New rule produced :
% [624] converse(A) join complement(converse(composition(zero,A))) -> top
% Current number of equations to process: 2608
% Current number of ordered equations: 0
% Current number of rules: 426
% New rule produced :
% [625]
% complement(converse(complement(converse(composition(zero,A))))) join A -> A
% Current number of equations to process: 2669
% Current number of ordered equations: 0
% Current number of rules: 427
% New rule produced :
% [626] complement(converse(composition(zero,converse(A)))) join A -> top
% Current number of equations to process: 2672
% Current number of ordered equations: 0
% Current number of rules: 428
% New rule produced :
% [627] converse(complement(composition(zero,A))) join converse(A) -> top
% Current number of equations to process: 2693
% Current number of ordered equations: 0
% Current number of rules: 429
% New rule produced :
% [628] complement(composition(zero,composition(zero,A))) join A -> top
% Current number of equations to process: 2711
% Current number of ordered equations: 0
% Current number of rules: 430
% New rule produced :
% [629]
% converse(A) join complement(converse(composition(A,converse(zero)))) -> top
% Current number of equations to process: 2727
% Current number of ordered equations: 0
% Current number of rules: 431
% New rule produced :
% [630] complement(complement(composition(zero,A)) join B) join A -> A
% Current number of equations to process: 2726
% Current number of ordered equations: 0
% Current number of rules: 432
% New rule produced :
% [631]
% complement(composition(zero,composition(converse(zero),A))) join A -> top
% Current number of equations to process: 2725
% Current number of ordered equations: 0
% Current number of rules: 433
% New rule produced :
% [632]
% sk1 join complement(composition(complement(composition(zero,sk1)),top)) ->
% sk1
% Current number of equations to process: 2915
% Current number of ordered equations: 0
% Current number of rules: 434
% New rule produced :
% [633]
% sk2 join complement(composition(complement(composition(zero,sk2)),top)) ->
% sk2
% Current number of equations to process: 2955
% Current number of ordered equations: 0
% Current number of rules: 435
% New rule produced :
% [634]
% composition(complement(A),converse(zero)) join A ->
% converse(composition(zero,top)) join A
% Current number of equations to process: 2956
% Current number of ordered equations: 0
% Current number of rules: 436
% New rule produced :
% [635]
% converse(composition(zero,composition(zero,A))) join converse(A) ->
% converse(A)
% Current number of equations to process: 2955
% Current number of ordered equations: 0
% Current number of rules: 437
% New rule produced :
% [636] composition(converse(sk2),sk2) -> converse(composition(top,sk2))
% Current number of equations to process: 3957
% Current number of ordered equations: 0
% Current number of rules: 438
% New rule produced :
% [637] composition(composition(A,complement(one)),zero) -> composition(A,zero)
% Current number of equations to process: 3967
% Current number of ordered equations: 0
% Current number of rules: 439
% New rule produced :
% [638] composition(complement(one),composition(zero,A)) -> composition(zero,A)
% Current number of equations to process: 3966
% Current number of ordered equations: 0
% Current number of rules: 440
% New rule produced : [639] complement(composition(A,zero)) -> top
% Rule
% [428] converse(complement(composition(A,zero))) join complement(one) -> top
% collapsed.
% Rule [516] complement(one) join complement(composition(A,zero)) -> top
% collapsed.
% Rule
% [532]
% composition(top,complement(sk1)) join complement(composition(A,zero)) -> top
% collapsed.
% Rule [609] converse(complement(composition(converse(A),zero))) join A -> top
% collapsed.
% Current number of equations to process: 3975
% Current number of ordered equations: 0
% Current number of rules: 437
% Rule [543]
% composition(converse(composition(B,A)),complement(composition(B,top)))
% -> composition(converse(A),zero) is composed into [543]
% composition(converse(
% composition(B,A)),
% complement(composition(B,top)))
% -> zero
% Rule [540]
% composition(composition(A,converse(B)),complement(composition(B,top)))
% -> composition(A,zero) is composed into [540]
% composition(composition(A,
% converse(B)),
% complement(composition(B,top)))
% -> zero
% Rule [529]
% composition(composition(A,converse(sk1)),complement(sk1)) ->
% composition(A,zero) is composed into [529]
% composition(composition(A,converse(sk1)),
% complement(sk1)) -> zero
% Rule [422]
% composition(composition(A,B),complement(converse(composition(top,B))))
% -> composition(A,zero) is composed into [422]
% composition(composition(A,B),
% complement(converse(composition(top,B))))
% -> zero
% New rule produced : [640] composition(A,zero) -> zero
% Rule [410] composition(complement(one),zero) -> zero collapsed.
% Rule [411] composition(zero,zero) -> zero collapsed.
% Rule [413] composition(A,zero) join composition(A,B) -> composition(A,B)
% collapsed.
% Rule
% [454] converse(composition(A,zero)) join complement(one) -> complement(one)
% collapsed.
% Rule [526] composition(top,zero) -> zero collapsed.
% Rule
% [533]
% composition(top,complement(sk1)) join composition(A,zero) ->
% composition(top,complement(sk1)) collapsed.
% Rule [601] composition(converse(zero),zero) -> zero collapsed.
% Rule [602] converse(composition(converse(A),zero)) join A -> A collapsed.
% Rule [604] converse(composition(A,zero)) join converse(A) -> converse(A)
% collapsed.
% Rule
% [637] composition(composition(A,complement(one)),zero) -> composition(A,zero)
% collapsed.
% Rule [639] complement(composition(A,zero)) -> top collapsed.
% Current number of equations to process: 3975
% Current number of ordered equations: 0
% Current number of rules: 427
% New rule produced :
% [641] composition(composition(A,converse(sk2)),complement(sk2)) -> zero
% Current number of equations to process: 3973
% Current number of ordered equations: 0
% Current number of rules: 428
% New rule produced :
% [642]
% composition(converse(sk2),composition(complement(sk2),A)) ->
% composition(zero,A)
% Current number of equations to process: 3972
% Current number of ordered equations: 0
% Current number of rules: 429
% New rule produced :
% [643]
% composition(converse(complement(sk2)),composition(sk2,A)) ->
% composition(converse(zero),A)
% Current number of equations to process: 3971
% Current number of ordered equations: 0
% Current number of rules: 430
% New rule produced :
% [644]
% composition(converse(zero),composition(complement(one),A)) ->
% composition(converse(zero),A)
% Current number of equations to process: 3969
% Current number of ordered equations: 0
% Current number of rules: 431
% New rule produced :
% [645]
% composition(composition(A,converse(zero)),complement(one)) ->
% composition(A,converse(zero))
% Current number of equations to process: 3968
% Current number of ordered equations: 0
% Current number of rules: 432
% Rule [643]
% composition(converse(complement(sk2)),composition(sk2,A)) ->
% composition(converse(zero),A) is composed into [643]
% composition(converse(
% complement(sk2)),
% composition(sk2,A)) ->
% converse(zero)
% Rule [542]
% composition(converse(complement(composition(B,top))),composition(B,A))
% -> composition(converse(zero),A) is composed into [542]
% composition(converse(
% complement(
% composition(B,top))),
% composition(B,A)) ->
% converse(zero)
% Rule [528]
% composition(converse(complement(sk1)),composition(sk1,A)) ->
% composition(converse(zero),A) is composed into [528]
% composition(converse(
% complement(sk1)),
% composition(sk1,A)) ->
% converse(zero)
% New rule produced : [646] composition(converse(zero),A) -> converse(zero)
% Rule [391] composition(converse(zero),A) join A -> A collapsed.
% Rule [603] complement(composition(converse(zero),A)) join A -> top collapsed.
% Rule [605] composition(converse(zero),composition(zero,A)) join A -> A
% collapsed.
% Rule [606] composition(zero,composition(converse(zero),A)) join A -> A
% collapsed.
% Rule [607] composition(converse(zero),complement(A)) join A -> A collapsed.
% Rule [608] composition(converse(zero),A) join complement(A) -> complement(A)
% collapsed.
% Rule
% [616] converse(composition(converse(zero),A)) join converse(A) -> converse(A)
% collapsed.
% Rule
% [617]
% converse(complement(converse(composition(converse(zero),A)))) join A -> top
% collapsed.
% Rule
% [618]
% composition(top,complement(composition(converse(zero),A))) join A -> top
% collapsed.
% Rule
% [622] composition(composition(converse(zero),A),converse(zero)) join A -> A
% collapsed.
% Rule
% [623] composition(converse(zero),composition(A,converse(zero))) join A -> A
% collapsed.
% Rule
% [631]
% complement(composition(zero,composition(converse(zero),A))) join A -> top
% collapsed.
% Rule
% [644]
% composition(converse(zero),composition(complement(one),A)) ->
% composition(converse(zero),A) collapsed.
% Current number of equations to process: 3966
% Current number of ordered equations: 0
% Current number of rules: 420
% New rule produced :
% [647] composition(zero,complement(composition(A,sk2))) -> zero
% Current number of equations to process: 3972
% Current number of ordered equations: 0
% Current number of rules: 421
% New rule produced :
% [648]
% composition(zero,complement(converse(A))) join complement(one) ->
% complement(one)
% Current number of equations to process: 3988
% Current number of ordered equations: 0
% Current number of rules: 422
% New rule produced :
% [649] composition(zero,complement(A)) join complement(one) -> complement(one)
% Rule
% [648]
% composition(zero,complement(converse(A))) join complement(one) ->
% complement(one) collapsed.
% Current number of equations to process: 3989
% Current number of ordered equations: 0
% Current number of rules: 422
% New rule produced :
% [650] composition(A,B) join complement(composition(zero,B)) -> top
% Current number of equations to process: 3996
% Current number of ordered equations: 0
% Current number of rules: 423
% New rule produced : [651] sk1 join composition(zero,top) -> sk1
% Current number of equations to process: 4003
% Current number of ordered equations: 0
% Current number of rules: 424
% New rule produced : [652] sk2 join composition(zero,top) -> sk2
% Current number of equations to process: 4004
% Current number of ordered equations: 0
% Current number of rules: 425
% New rule produced :
% [653] composition(zero,top) join composition(A,sk1) -> composition(A,sk1)
% Current number of equations to process: 4025
% Current number of ordered equations: 0
% Current number of rules: 426
% New rule produced :
% [654] composition(zero,top) join composition(A,sk2) -> composition(A,sk2)
% Current number of equations to process: 4024
% Current number of ordered equations: 0
% Current number of rules: 427
% New rule produced :
% [655] composition(zero,complement(composition(A,complement(B)))) join B -> B
% Current number of equations to process: 4089
% Current number of ordered equations: 0
% Current number of rules: 428
% New rule produced :
% [656] composition(zero,complement(converse(composition(top,A)))) -> zero
% Current number of equations to process: 4119
% Current number of ordered equations: 0
% Current number of rules: 429
% New rule produced :
% [657] composition(zero,complement(composition(A,sk1))) -> zero
% Current number of equations to process: 4120
% Current number of ordered equations: 0
% Current number of rules: 430
% New rule produced :
% [658] composition(zero,A) join composition(B,top) -> composition(B,top)
% Rule
% [503]
% composition(zero,composition(A,B)) join composition(A,top) ->
% composition(A,top) collapsed.
% Current number of equations to process: 4143
% Current number of ordered equations: 0
% Current number of rules: 430
% New rule produced : [659] composition(zero,complement(sk1)) -> zero
% Current number of equations to process: 4175
% Current number of ordered equations: 0
% Current number of rules: 431
% New rule produced :
% [660] composition(zero,complement(composition(A,top))) -> zero
% Current number of equations to process: 4181
% Current number of ordered equations: 0
% Current number of rules: 432
% New rule produced : [661] composition(zero,complement(sk2)) -> zero
% Current number of equations to process: 4203
% Current number of ordered equations: 0
% Current number of rules: 433
% New rule produced :
% [662]
% composition(zero,complement(composition(A,B))) join complement(B) ->
% complement(B)
% Current number of equations to process: 4192
% Current number of ordered equations: 0
% Current number of rules: 434
% New rule produced :
% [663]
% converse(composition(top,A)) join composition(zero,top) ->
% converse(composition(top,A))
% Current number of equations to process: 4191
% Current number of ordered equations: 0
% Current number of rules: 435
% Rule [643]
% composition(converse(complement(sk2)),composition(sk2,A)) ->
% converse(zero) is composed into [643]
% composition(converse(complement(sk2)),
% composition(sk2,A)) -> zero
% Rule [542]
% composition(converse(complement(composition(B,top))),composition(B,A))
% -> converse(zero) is composed into [542]
% composition(converse(complement(
% composition(B,top))),
% composition(B,A)) -> zero
% Rule [528]
% composition(converse(complement(sk1)),composition(sk1,A)) ->
% converse(zero) is composed into [528]
% composition(converse(complement(sk1)),
% composition(sk1,A)) -> zero
% New rule produced : [664] converse(zero) -> zero
% Rule [392] composition(A,converse(zero)) join A -> A collapsed.
% Rule
% [405] converse(composition(A,converse(zero))) join converse(A) -> converse(A)
% collapsed.
% Rule [417] converse(zero) join A -> A collapsed.
% Rule [418] complement(converse(zero)) -> top collapsed.
% Rule
% [518]
% converse(complement(composition(A,converse(zero)))) join converse(A) -> top
% collapsed.
% Rule [610] composition(zero,converse(zero)) -> zero collapsed.
% Rule [612] complement(composition(A,converse(zero))) join A -> top collapsed.
% Rule [614] composition(composition(zero,A),converse(zero)) join A -> A
% collapsed.
% Rule
% [619]
% composition(top,A) join composition(A,converse(zero)) -> composition(top,A)
% collapsed.
% Rule
% [620]
% converse(complement(converse(composition(A,converse(zero))))) join A -> top
% collapsed.
% Rule
% [621]
% composition(top,complement(composition(A,converse(zero)))) join A -> top
% collapsed.
% Rule
% [629]
% converse(A) join complement(converse(composition(A,converse(zero)))) -> top
% collapsed.
% Rule
% [634]
% composition(complement(A),converse(zero)) join A ->
% converse(composition(zero,top)) join A collapsed.
% Rule
% [645]
% composition(composition(A,converse(zero)),complement(one)) ->
% composition(A,converse(zero)) collapsed.
% Rule [646] composition(converse(zero),A) -> converse(zero) collapsed.
% Current number of equations to process: 4359
% Current number of ordered equations: 0
% Current number of rules: 421
% Rule [642]
% composition(converse(sk2),composition(complement(sk2),A)) ->
% composition(zero,A) is composed into [642]
% composition(converse(sk2),composition(
% complement(sk2),A))
% -> zero
% Rule [541]
% composition(converse(B),composition(complement(composition(B,top)),A))
% -> composition(zero,A) is composed into [541]
% composition(converse(B),
% composition(complement(composition(B,top)),A))
% -> zero
% Rule [530]
% composition(converse(sk1),composition(complement(sk1),A)) ->
% composition(zero,A) is composed into [530]
% composition(converse(sk1),composition(
% complement(sk1),A))
% -> zero
% Rule [423]
% composition(B,composition(complement(converse(composition(top,B))),A))
% -> composition(zero,A) is composed into [423]
% composition(B,composition(
% complement(
% converse(composition(top,B))),A))
% -> zero
% New rule produced : [665] composition(zero,A) -> zero
% Rule [237] composition(zero,A) join A -> A collapsed.
% Rule [394] converse(complement(converse(composition(zero,A)))) join A -> top
% collapsed.
% Rule [395] complement(composition(zero,A)) join A -> top collapsed.
% Rule [396] converse(composition(zero,A)) join converse(A) -> converse(A)
% collapsed.
% Rule [398] composition(zero,composition(zero,A)) join A -> A collapsed.
% Rule [399] sk1 join composition(complement(composition(zero,sk1)),top) -> top
% collapsed.
% Rule [400] sk2 join composition(complement(composition(zero,sk2)),top) -> top
% collapsed.
% Rule
% [406]
% complement(composition(zero,A)) join complement(A) ->
% complement(composition(zero,A)) collapsed.
% Rule
% [408]
% complement(composition(zero,complement(A))) join A ->
% complement(composition(zero,complement(A))) collapsed.
% Rule [412] composition(zero,B) join composition(A,B) -> composition(A,B)
% collapsed.
% Rule
% [419]
% composition(zero,complement(A join B)) join complement(B) -> complement(B)
% collapsed.
% Rule
% [420]
% composition(composition(zero,A),B) join composition(A,B) -> composition(A,B)
% collapsed.
% Rule
% [421]
% composition(A,composition(zero,B)) join composition(A,B) -> composition(A,B)
% collapsed.
% Rule
% [431]
% complement(A join B) join complement(composition(zero,A)) ->
% complement(composition(zero,A)) collapsed.
% Rule
% [474] complement(composition(zero,B) join A) join B -> complement(A) join B
% collapsed.
% Rule
% [482]
% converse(complement(converse(complement(A)))) join complement(composition(zero,A))
% -> top collapsed.
% Rule
% [489] composition(zero,complement(A)) join A -> composition(zero,top) join A
% collapsed.
% Rule
% [490]
% composition(zero,A) join complement(A) <->
% composition(zero,top) join complement(A) collapsed.
% Rule
% [491]
% composition(zero,top) join complement(A) <->
% composition(zero,A) join complement(A) collapsed.
% Rule [552] composition(top,complement(composition(zero,A))) join A -> top
% collapsed.
% Rule
% [611] converse(composition(zero,top)) join complement(one) -> complement(one)
% collapsed.
% Rule [613] converse(composition(zero,converse(A))) join A -> A collapsed.
% Rule [615] converse(complement(composition(zero,converse(A)))) join A -> top
% collapsed.
% Rule [624] converse(A) join complement(converse(composition(zero,A))) -> top
% collapsed.
% Rule
% [625]
% complement(converse(complement(converse(composition(zero,A))))) join A -> A
% collapsed.
% Rule [626] complement(converse(composition(zero,converse(A)))) join A -> top
% collapsed.
% Rule [627] converse(complement(composition(zero,A))) join converse(A) -> top
% collapsed.
% Rule [628] complement(composition(zero,composition(zero,A))) join A -> top
% collapsed.
% Rule [630] complement(complement(composition(zero,A)) join B) join A -> A
% collapsed.
% Rule
% [632]
% sk1 join complement(composition(complement(composition(zero,sk1)),top)) ->
% sk1 collapsed.
% Rule
% [633]
% sk2 join complement(composition(complement(composition(zero,sk2)),top)) ->
% sk2 collapsed.
% Rule
% [635]
% converse(composition(zero,composition(zero,A))) join converse(A) ->
% converse(A) collapsed.
% Rule
% [638] composition(complement(one),composition(zero,A)) -> composition(zero,A)
% collapsed.
% Rule [647] composition(zero,complement(composition(A,sk2))) -> zero
% collapsed.
% Rule
% [649] composition(zero,complement(A)) join complement(one) -> complement(one)
% collapsed.
% Rule [650] composition(A,B) join complement(composition(zero,B)) -> top
% collapsed.
% Rule [651] sk1 join composition(zero,top) -> sk1 collapsed.
% Rule [652] sk2 join composition(zero,top) -> sk2 collapsed.
% Rule
% [653] composition(zero,top) join composition(A,sk1) -> composition(A,sk1)
% collapsed.
% Rule
% [654] composition(zero,top) join composition(A,sk2) -> composition(A,sk2)
% collapsed.
% Rule
% [655] composition(zero,complement(composition(A,complement(B)))) join B -> B
% collapsed.
% Rule [656] composition(zero,complement(converse(composition(top,A)))) -> zero
% collapsed.
% Rule [657] composition(zero,complement(composition(A,sk1))) -> zero
% collapsed.
% Rule [658] composition(zero,A) join composition(B,top) -> composition(B,top)
% collapsed.
% Rule [659] composition(zero,complement(sk1)) -> zero collapsed.
% Rule [660] composition(zero,complement(composition(A,top))) -> zero
% collapsed.
% Rule [661] composition(zero,complement(sk2)) -> zero collapsed.
% Rule
% [662]
% composition(zero,complement(composition(A,B))) join complement(B) ->
% complement(B) collapsed.
% Rule
% [663]
% converse(composition(top,A)) join composition(zero,top) ->
% converse(composition(top,A)) collapsed.
% Current number of equations to process: 4358
% Current number of ordered equations: 0
% Current number of rules: 373
% New rule produced :
% [666]
% composition(composition(A,B),converse(composition(top,B))) ->
% composition(composition(A,B),top)
% Current number of equations to process: 4350
% Current number of ordered equations: 0
% Current number of rules: 374
% New rule produced :
% [667]
% composition(composition(A,top),complement(composition(composition(top,A),top)))
% -> zero
% Current number of equations to process: 4400
% Current number of ordered equations: 0
% Current number of rules: 375
% New rule produced :
% [668]
% converse(complement(converse(A))) join complement(composition(top,A)) ->
% converse(complement(converse(A)))
% Current number of equations to process: 4577
% Current number of ordered equations: 0
% Current number of rules: 376
% New rule produced :
% [669]
% composition(complement(sk2),top) join complement(composition(top,sk2)) ->
% composition(complement(sk2),top)
% Current number of equations to process: 4575
% Current number of ordered equations: 0
% Current number of rules: 377
% New rule produced :
% [670]
% converse(composition(A,top)) join complement(converse(complement(A))) ->
% converse(composition(A,top))
% Current number of equations to process: 4573
% Current number of ordered equations: 0
% Current number of rules: 378
% New rule produced :
% [671]
% composition(complement(sk1),top) join complement(composition(top,sk1)) ->
% composition(complement(sk1),top)
% Current number of equations to process: 4571
% Current number of ordered equations: 0
% Current number of rules: 379
% New rule produced :
% [672]
% converse(composition(top,A)) join complement(converse(complement(A))) ->
% converse(composition(top,A))
% Current number of equations to process: 4569
% Current number of ordered equations: 0
% Current number of rules: 380
% Rule [435]
% composition(composition(top,complement(sk1)),A) <->
% composition(complement(converse(sk1)),composition(complement(sk1),A)) is composed into
% [435]
% composition(composition(top,complement(sk1)),A) <->
% composition(top,composition(complement(sk1),A))
% New rule produced :
% [673]
% composition(complement(converse(sk1)),composition(complement(sk1),A)) ->
% composition(top,composition(complement(sk1),A))
% Rule
% [434]
% composition(complement(converse(sk1)),composition(complement(sk1),A)) <->
% composition(composition(top,complement(sk1)),A) collapsed.
% Current number of equations to process: 4754
% Current number of ordered equations: 0
% Current number of rules: 380
% Rule [438]
% composition(composition(top,complement(sk2)),A) <->
% composition(complement(converse(sk2)),composition(complement(sk2),A)) is composed into
% [438]
% composition(composition(top,complement(sk2)),A) <->
% composition(top,composition(complement(sk2),A))
% New rule produced :
% [674]
% composition(complement(converse(sk2)),composition(complement(sk2),A)) ->
% composition(top,composition(complement(sk2),A))
% Rule
% [437]
% composition(complement(converse(sk2)),composition(complement(sk2),A)) <->
% composition(composition(top,complement(sk2)),A) collapsed.
% Current number of equations to process: 4974
% Current number of ordered equations: 0
% Current number of rules: 380
% New rule produced :
% [675]
% composition(converse(composition(top,A)),composition(top,B)) ->
% composition(converse(composition(top,A)),B)
% Current number of equations to process: 2484
% Current number of ordered equations: 0
% Current number of rules: 381
% New rule produced :
% [676]
% converse(sk1) join composition(A,converse(composition(sk1,B))) ->
% converse(sk1)
% Rule
% [441]
% converse(sk1) join composition(A,converse(composition(sk1,converse(B)))) ->
% converse(sk1) collapsed.
% Current number of equations to process: 2509
% Current number of ordered equations: 0
% Current number of rules: 381
% New rule produced :
% [677]
% sk1 join converse(composition(A,converse(composition(sk1,converse(B))))) ->
% sk1
% Current number of equations to process: 2508
% Current number of ordered equations: 0
% Current number of rules: 382
% New rule produced :
% [678]
% converse(sk1) join converse(composition(composition(sk1,converse(A)),B)) ->
% converse(sk1)
% Current number of equations to process: 2507
% Current number of ordered equations: 0
% Current number of rules: 383
% New rule produced :
% [679]
% converse(sk2) join composition(A,converse(composition(sk2,B))) ->
% converse(sk2)
% Rule
% [442]
% converse(sk2) join composition(A,converse(composition(sk2,converse(B)))) ->
% converse(sk2) collapsed.
% Current number of equations to process: 2534
% Current number of ordered equations: 0
% Current number of rules: 383
% New rule produced :
% [680]
% sk2 join converse(composition(A,converse(composition(sk2,converse(B))))) ->
% sk2
% Current number of equations to process: 2533
% Current number of ordered equations: 0
% Current number of rules: 384
% New rule produced :
% [681]
% converse(sk2) join converse(composition(composition(sk2,converse(A)),B)) ->
% converse(sk2)
% Current number of equations to process: 2532
% Current number of ordered equations: 0
% Current number of rules: 385
% New rule produced :
% [682] converse(sk2) join converse(composition(sk2,A)) -> converse(sk2)
% Current number of equations to process: 2551
% Current number of ordered equations: 0
% Current number of rules: 386
% New rule produced :
% [683] converse(sk1) join converse(composition(sk1,A)) -> converse(sk1)
% Rule
% [381]
% converse(sk1) join converse(composition(sk1,converse(sk2))) -> converse(sk1)
% collapsed.
% Current number of equations to process: 2556
% Current number of ordered equations: 0
% Current number of rules: 386
% New rule produced :
% [684]
% composition(converse(A),complement(one)) ->
% converse(composition(complement(one),A))
% Current number of equations to process: 2904
% Current number of ordered equations: 0
% Current number of rules: 387
% New rule produced :
% [685]
% composition(complement(one),converse(A)) ->
% converse(composition(A,complement(one)))
% Rule
% [575]
% converse(composition(complement(one),converse(A))) join A ->
% composition(A,top) collapsed.
% Current number of equations to process: 2903
% Current number of ordered equations: 0
% Current number of rules: 387
% New rule produced :
% [686]
% converse(composition(top,complement(one))) ->
% composition(complement(one),top)
% Rule
% [432]
% composition(top,complement(converse(composition(top,complement(one))))) ->
% complement(converse(composition(top,complement(one)))) collapsed.
% Current number of equations to process: 2929
% Current number of ordered equations: 0
% Current number of rules: 387
% New rule produced :
% [687] one join converse(composition(complement(one),top)) -> top
% Current number of equations to process: 2938
% Current number of ordered equations: 0
% Current number of rules: 388
% New rule produced :
% [688]
% composition(complement(one),complement(composition(complement(one),top))) ->
% zero
% Current number of equations to process: 2935
% Current number of ordered equations: 0
% Current number of rules: 389
% New rule produced :
% [689] composition(top,complement(one)) <-> composition(complement(one),top)
% Current number of equations to process: 2956
% Current number of ordered equations: 1
% Current number of rules: 390
% New rule produced :
% [690] composition(complement(one),top) <-> composition(top,complement(one))
% Current number of equations to process: 2956
% Current number of ordered equations: 0
% Current number of rules: 391
% New rule produced :
% [691]
% composition(composition(top,complement(one)),top) ->
% composition(top,complement(one))
% Current number of equations to process: 2978
% Current number of ordered equations: 0
% Current number of rules: 392
% New rule produced : [692] composition(complement(A),top) join A -> top
% Rule [76] sk1 join composition(complement(sk1),top) -> top collapsed.
% Rule [77] sk2 join composition(complement(sk2),top) -> top collapsed.
% Rule
% [163]
% composition(complement(composition(A,sk1)),top) join composition(A,sk1) ->
% top collapsed.
% Rule
% [164]
% composition(complement(composition(A,sk2)),top) join composition(A,sk2) ->
% top collapsed.
% Current number of equations to process: 3003
% Current number of ordered equations: 0
% Current number of rules: 389
% New rule produced :
% [693] complement(composition(A,top)) join complement(A) -> complement(A)
% Current number of equations to process: 3139
% Current number of ordered equations: 0
% Current number of rules: 390
% New rule produced :
% [694] composition(top,A) join composition(complement(A),top) -> top
% Rule [359] composition(top,sk2) join composition(complement(sk2),top) -> top
% collapsed.
% Rule [366] composition(top,sk1) join composition(complement(sk1),top) -> top
% collapsed.
% Current number of equations to process: 3223
% Current number of ordered equations: 1
% Current number of rules: 389
% New rule produced :
% [695] composition(composition(top,A),top) join complement(A) -> top
% Current number of equations to process: 3223
% Current number of ordered equations: 0
% Current number of rules: 390
% New rule produced :
% [696] composition(top,complement(A)) join composition(A,top) -> top
% Current number of equations to process: 3221
% Current number of ordered equations: 1
% Current number of rules: 391
% New rule produced :
% [697] composition(composition(top,complement(A)),top) join A -> top
% Rule [549] sk2 join composition(composition(top,complement(sk2)),top) -> top
% collapsed.
% Rule [558] sk1 join composition(composition(top,complement(sk1)),top) -> top
% collapsed.
% Current number of equations to process: 3221
% Current number of ordered equations: 0
% Current number of rules: 390
% New rule produced :
% [698]
% composition(top,complement(composition(complement(one),top))) ->
% complement(composition(complement(one),top))
% Current number of equations to process: 3240
% Current number of ordered equations: 0
% Current number of rules: 391
% New rule produced :
% [699]
% composition(composition(A,complement(one)),top) join A -> composition(A,top)
% Current number of equations to process: 3238
% Current number of ordered equations: 0
% Current number of rules: 392
% New rule produced :
% [700]
% composition(composition(top,A),top) join A ->
% composition(composition(top,A),top)
% Current number of equations to process: 3237
% Current number of ordered equations: 0
% Current number of rules: 393
% New rule produced :
% [701]
% composition(A,converse(composition(complement(one),top))) <->
% composition(composition(A,top),complement(one))
% Current number of equations to process: 3237
% Current number of ordered equations: 1
% Current number of rules: 394
% New rule produced :
% [702]
% composition(composition(A,top),complement(one)) <->
% composition(A,converse(composition(complement(one),top)))
% Current number of equations to process: 3237
% Current number of ordered equations: 0
% Current number of rules: 395
% New rule produced :
% [703]
% composition(top,composition(complement(one),A)) <->
% composition(converse(composition(complement(one),top)),A)
% Current number of equations to process: 3235
% Current number of ordered equations: 1
% Current number of rules: 396
% New rule produced :
% [704]
% composition(converse(composition(complement(one),top)),A) <->
% composition(top,composition(complement(one),A))
% Current number of equations to process: 3235
% Current number of ordered equations: 0
% Current number of rules: 397
% New rule produced :
% [705]
% complement(composition(A,complement(one))) join A ->
% complement(composition(A,top)) join A
% Current number of equations to process: 3234
% Current number of ordered equations: 0
% Current number of rules: 398
% New rule produced :
% [706]
% complement(composition(A,top) join B) join complement(A) -> complement(A)
% Current number of equations to process: 3233
% Current number of ordered equations: 0
% Current number of rules: 399
% New rule produced :
% [707]
% composition(converse(A),composition(complement(one),B)) <->
% composition(converse(composition(complement(one),A)),B)
% Current number of equations to process: 3232
% Current number of ordered equations: 1
% Current number of rules: 400
% New rule produced :
% [708]
% composition(converse(composition(complement(one),A)),B) <->
% composition(converse(A),composition(complement(one),B))
% Current number of equations to process: 3232
% Current number of ordered equations: 0
% Current number of rules: 401
% New rule produced :
% [709]
% composition(A,converse(composition(complement(one),B))) <->
% composition(composition(A,converse(B)),complement(one))
% Current number of equations to process: 3230
% Current number of ordered equations: 3
% Current number of rules: 402
% New rule produced :
% [710]
% composition(A,converse(composition(B,complement(one)))) <->
% composition(composition(A,complement(one)),converse(B))
% Current number of equations to process: 3230
% Current number of ordered equations: 2
% Current number of rules: 403
% New rule produced :
% [711]
% composition(composition(A,converse(B)),complement(one)) <->
% composition(A,converse(composition(complement(one),B)))
% Current number of equations to process: 3230
% Current number of ordered equations: 1
% Current number of rules: 404
% New rule produced :
% [712]
% composition(composition(A,complement(one)),converse(B)) <->
% composition(A,converse(composition(B,complement(one))))
% Current number of equations to process: 3230
% Current number of ordered equations: 0
% Current number of rules: 405
% New rule produced :
% [713]
% composition(complement(one),composition(converse(A),B)) <->
% composition(converse(composition(A,complement(one))),B)
% Current number of equations to process: 3228
% Current number of ordered equations: 1
% Current number of rules: 406
% New rule produced :
% [714]
% composition(converse(composition(A,complement(one))),B) <->
% composition(complement(one),composition(converse(A),B))
% Current number of equations to process: 3228
% Current number of ordered equations: 0
% Current number of rules: 407
% New rule produced :
% [715]
% one join composition(A,complement(converse(composition(complement(one),A))))
% -> one
% Current number of equations to process: 3224
% Current number of ordered equations: 0
% Current number of rules: 408
% New rule produced :
% [716]
% converse(composition(composition(A,top),complement(one))) <->
% composition(composition(complement(one),top),converse(A))
% Current number of equations to process: 3223
% Current number of ordered equations: 1
% Current number of rules: 409
% New rule produced :
% [717]
% composition(composition(complement(one),top),converse(A)) <->
% converse(composition(composition(A,top),complement(one)))
% Current number of equations to process: 3223
% Current number of ordered equations: 0
% Current number of rules: 410
% New rule produced :
% [718]
% converse(composition(complement(one),composition(top,A))) <->
% composition(converse(A),composition(top,complement(one)))
% Current number of equations to process: 3222
% Current number of ordered equations: 1
% Current number of rules: 411
% New rule produced :
% [719]
% composition(converse(A),composition(top,complement(one))) <->
% converse(composition(complement(one),composition(top,A)))
% Current number of equations to process: 3222
% Current number of ordered equations: 0
% Current number of rules: 412
% New rule produced :
% [720]
% composition(top,A) join composition(complement(composition(B,A)),top) -> top
% Rule
% [313]
% composition(top,sk1) join composition(complement(composition(A,sk1)),top) ->
% top collapsed.
% Rule
% [315]
% composition(top,sk2) join composition(complement(composition(A,sk2)),top) ->
% top collapsed.
% Current number of equations to process: 3220
% Current number of ordered equations: 1
% Current number of rules: 411
% New rule produced :
% [721]
% composition(composition(top,A),top) join complement(composition(B,A)) -> top
% Current number of equations to process: 3220
% Current number of ordered equations: 0
% Current number of rules: 412
% New rule produced :
% [722]
% converse(complement(converse(complement(composition(A,top))))) join complement(A)
% -> top
% Current number of equations to process: 3219
% Current number of ordered equations: 0
% Current number of rules: 413
% New rule produced :
% [723]
% converse(complement(converse(A))) join composition(composition(top,A),top) ->
% top
% Current number of equations to process: 3216
% Current number of ordered equations: 0
% Current number of rules: 414
% New rule produced :
% [724]
% converse(sk1) join composition(complement(composition(A,converse(sk1))),top)
% -> top
% Current number of equations to process: 3213
% Current number of ordered equations: 0
% Current number of rules: 415
% New rule produced :
% [725]
% converse(sk2) join composition(complement(composition(A,converse(sk2))),top)
% -> top
% Current number of equations to process: 3212
% Current number of ordered equations: 0
% Current number of rules: 416
% New rule produced :
% [726]
% converse(composition(A,top)) join composition(complement(converse(A)),top) ->
% top
% Current number of equations to process: 3211
% Current number of ordered equations: 0
% Current number of rules: 417
% New rule produced :
% [727] converse(composition(complement(converse(A)),top)) join A -> top
% Current number of equations to process: 3236
% Current number of ordered equations: 0
% Current number of rules: 418
% New rule produced :
% [728]
% converse(composition(composition(top,A),top)) join converse(complement(A)) ->
% top
% Current number of equations to process: 3410
% Current number of ordered equations: 0
% Current number of rules: 419
% New rule produced :
% [729]
% converse(composition(composition(complement(one),top),converse(A))) <->
% composition(composition(A,top),complement(one))
% Current number of equations to process: 3405
% Current number of ordered equations: 1
% Current number of rules: 420
% New rule produced :
% [730]
% composition(composition(A,top),complement(one)) <->
% converse(composition(composition(complement(one),top),converse(A)))
% Current number of equations to process: 3405
% Current number of ordered equations: 0
% Current number of rules: 421
% New rule produced :
% [731]
% converse(composition(converse(A),composition(top,complement(one)))) <->
% composition(complement(one),composition(top,A))
% Current number of equations to process: 3404
% Current number of ordered equations: 1
% Current number of rules: 422
% New rule produced :
% [732]
% composition(complement(one),composition(top,A)) <->
% converse(composition(converse(A),composition(top,complement(one))))
% Current number of equations to process: 3404
% Current number of ordered equations: 0
% Current number of rules: 423
% New rule produced :
% [733]
% converse(composition(complement(one),complement(one))) join complement(one)
% -> composition(complement(one),top)
% Current number of equations to process: 3403
% Current number of ordered equations: 0
% Current number of rules: 424
% New rule produced :
% [734]
% composition(top,complement(one)) join composition(A,top) ->
% composition(top,complement(one)) join A
% Current number of equations to process: 3401
% Current number of ordered equations: 0
% Current number of rules: 425
% New rule produced :
% [735]
% composition(A,top) join complement(A join B) ->
% composition(A,top) join complement(B)
% Current number of equations to process: 3400
% Current number of ordered equations: 0
% Current number of rules: 426
% New rule produced :
% [736]
% composition(complement(A),top) join complement(A join B) ->
% composition(complement(A),top)
% Rule
% [477]
% composition(complement(sk2),top) join complement(sk2 join A) ->
% composition(complement(sk2),top) collapsed.
% Rule
% [508]
% composition(complement(sk1),top) join complement(sk1 join A) ->
% composition(complement(sk1),top) collapsed.
% Current number of equations to process: 3398
% Current number of ordered equations: 0
% Current number of rules: 425
% New rule produced :
% [737] sk1 join converse(composition(A,converse(sk1))) -> sk1
% Current number of equations to process: 3536
% Current number of ordered equations: 0
% Current number of rules: 426
% New rule produced :
% [738] sk2 join converse(composition(A,converse(sk2))) -> sk2
% Current number of equations to process: 3535
% Current number of ordered equations: 0
% Current number of rules: 427
% New rule produced :
% [739]
% converse(sk1) join composition(A,composition(B,converse(sk1))) ->
% converse(sk1)
% Current number of equations to process: 3921
% Current number of ordered equations: 0
% Current number of rules: 428
% New rule produced :
% [740]
% converse(sk2) join composition(A,composition(B,converse(sk2))) ->
% converse(sk2)
% Current number of equations to process: 3920
% Current number of ordered equations: 0
% Current number of rules: 429
% New rule produced :
% [741] complement(composition(complement(A),top)) join A -> A
% Rule [461] sk2 join complement(composition(complement(sk2),top)) -> sk2
% collapsed.
% Rule [466] sk1 join complement(composition(complement(sk1),top)) -> sk1
% collapsed.
% Current number of equations to process: 4339
% Current number of ordered equations: 0
% Current number of rules: 428
% New rule produced :
% [742] complement(composition(complement(A),top) join B) join A -> A
% Rule
% [463] sk2 join complement(composition(complement(sk2),top) join A) -> sk2
% collapsed.
% Rule
% [469] sk1 join complement(composition(complement(sk1),top) join A) -> sk1
% collapsed.
% Current number of equations to process: 4380
% Current number of ordered equations: 0
% Current number of rules: 427
% New rule produced : [743] converse(complement(converse(complement(A)))) -> A
% Rule
% [283]
% converse(complement(converse(complement(A join B)))) join complement(B) ->
% top collapsed.
% Rule
% [476]
% converse(complement(converse(complement(complement(A) join B)))) join A ->
% top collapsed.
% Rule
% [481]
% converse(complement(converse(complement(composition(top,A))))) join complement(A)
% -> top collapsed.
% Rule
% [507]
% converse(complement(converse(complement(A)))) join A ->
% converse(complement(converse(complement(A)))) collapsed.
% Rule
% [722]
% converse(complement(converse(complement(composition(A,top))))) join complement(A)
% -> top collapsed.
% Current number of equations to process: 4398
% Current number of ordered equations: 0
% Current number of rules: 423
% New rule produced : [744] converse(complement(converse(A))) -> complement(A)
% Rule [65] converse(complement(converse(A))) join A -> top collapsed.
% Rule
% [181]
% converse(complement(converse(composition(A,B)))) join composition(top,B) ->
% top collapsed.
% Rule
% [294]
% composition(converse(complement(converse(B))),A) join composition(B,A) ->
% composition(top,A) collapsed.
% Rule
% [297]
% converse(complement(converse(composition(converse(A),complement(A))))) join
% complement(one) -> top collapsed.
% Rule
% [302]
% converse(complement(converse(composition(A,complement(converse(A)))))) join
% complement(one) -> top collapsed.
% Rule
% [310]
% composition(A,converse(complement(converse(B)))) join composition(A,B) ->
% composition(A,top) collapsed.
% Rule [357] converse(complement(converse(A))) join composition(top,A) -> top
% collapsed.
% Rule
% [374]
% converse(complement(converse(composition(A,B)))) join composition(A,top) ->
% top collapsed.
% Rule [464] complement(converse(complement(converse(A)))) join A -> A
% collapsed.
% Rule
% [465]
% converse(complement(converse(A))) join complement(A) ->
% converse(complement(converse(A))) collapsed.
% Rule [468] complement(converse(complement(converse(A))) join B) join A -> A
% collapsed.
% Rule
% [478]
% converse(complement(converse(A))) join complement(A join B) ->
% converse(complement(converse(A))) collapsed.
% Rule
% [563]
% composition(top,A) join complement(converse(complement(converse(A)))) ->
% composition(top,A) collapsed.
% Rule [581] sk2 join converse(complement(converse(composition(sk2,A)))) -> top
% collapsed.
% Rule [582] converse(complement(converse(A))) join composition(A,top) -> top
% collapsed.
% Rule [583] sk1 join converse(complement(converse(composition(sk1,A)))) -> top
% collapsed.
% Rule
% [668]
% converse(complement(converse(A))) join complement(composition(top,A)) ->
% converse(complement(converse(A))) collapsed.
% Rule
% [723]
% converse(complement(converse(A))) join composition(composition(top,A),top) ->
% top collapsed.
% Rule [743] converse(complement(converse(complement(A)))) -> A collapsed.
% Current number of equations to process: 4522
% Current number of ordered equations: 0
% Current number of rules: 405
% New rule produced : [745] sk2 join complement(composition(sk2,A)) -> top
% Current number of equations to process: 4521
% Current number of ordered equations: 0
% Current number of rules: 406
% New rule produced : [746] sk1 join complement(composition(sk1,A)) -> top
% Current number of equations to process: 4520
% Current number of ordered equations: 0
% Current number of rules: 407
% New rule produced :
% [747]
% converse(complement(complement(A) join B)) join converse(A) -> converse(A)
% Current number of equations to process: 4624
% Current number of ordered equations: 0
% Current number of rules: 408
% New rule produced :
% [748]
% converse(composition(complement(one),top)) join complement(one) ->
% converse(composition(complement(one),top))
% Current number of equations to process: 4620
% Current number of ordered equations: 0
% Current number of rules: 409
% New rule produced :
% [749]
% composition(A,top) join complement(complement(A) join B) ->
% composition(A,top)
% Current number of equations to process: 4618
% Current number of ordered equations: 0
% Current number of rules: 410
% New rule produced :
% [750] converse(complement(converse(complement(A)) join B)) join A -> A
% Current number of equations to process: 4636
% Current number of ordered equations: 0
% Current number of rules: 411
% New rule produced :
% [751]
% converse(A) join complement(converse(composition(top,complement(A)))) ->
% converse(A)
% Current number of equations to process: 4738
% Current number of ordered equations: 0
% Current number of rules: 412
% New rule produced :
% [752]
% converse(A) join complement(converse(composition(complement(A),top))) ->
% converse(A)
% Rule
% [472]
% converse(sk1) join complement(converse(composition(complement(sk1),top))) ->
% converse(sk1) collapsed.
% Rule
% [473]
% converse(sk2) join complement(converse(composition(complement(sk2),top))) ->
% converse(sk2) collapsed.
% Current number of equations to process: 4751
% Current number of ordered equations: 0
% Current number of rules: 411
% New rule produced :
% [753]
% converse(complement(converse(A) join B)) join complement(A) -> complement(A)
% Current number of equations to process: 4931
% Current number of ordered equations: 0
% Current number of rules: 412
% New rule produced :
% [754]
% converse(sk1) join converse(composition(composition(sk1,A),converse(B))) ->
% converse(sk1)
% Current number of equations to process: 1371
% Current number of ordered equations: 0
% Current number of rules: 413
% New rule produced :
% [755]
% converse(sk1) join composition(A,complement(converse(sk1))) ->
% converse(sk1) join composition(A,top)
% Current number of equations to process: 1368
% Current number of ordered equations: 0
% Current number of rules: 414
% New rule produced :
% [756]
% converse(sk1) join composition(A,converse(complement(sk1))) ->
% converse(sk1) join composition(A,top)
% Current number of equations to process: 1367
% Current number of ordered equations: 0
% Current number of rules: 415
% New rule produced :
% [757]
% converse(composition(top,sk1)) join composition(A,converse(sk1)) ->
% converse(composition(top,sk1))
% Current number of equations to process: 1366
% Current number of ordered equations: 0
% Current number of rules: 416
% New rule produced :
% [758]
% converse(sk2) join converse(composition(composition(sk2,A),converse(B))) ->
% converse(sk2)
% Current number of equations to process: 1364
% Current number of ordered equations: 0
% Current number of rules: 417
% New rule produced :
% [759]
% converse(sk2) join composition(A,complement(converse(sk2))) ->
% converse(sk2) join composition(A,top)
% Current number of equations to process: 1363
% Current number of ordered equations: 0
% Current number of rules: 418
% New rule produced :
% [760]
% converse(sk2) join composition(A,converse(complement(sk2))) ->
% converse(sk2) join composition(A,top)
% Current number of equations to process: 1362
% Current number of ordered equations: 0
% Current number of rules: 419
% New rule produced :
% [761]
% converse(composition(top,sk2)) join composition(A,converse(sk2)) ->
% converse(composition(top,sk2))
% Current number of equations to process: 1361
% Current number of ordered equations: 0
% Current number of rules: 420
% New rule produced :
% [762]
% converse(complement(converse(A) join B)) join A ->
% converse(complement(B)) join A
% Rule
% [293] converse(complement(converse(A) join converse(B))) join A join B -> top
% collapsed.
% Rule [517] one join converse(complement(one join converse(A))) join A -> top
% collapsed.
% Current number of equations to process: 1609
% Current number of ordered equations: 0
% Current number of rules: 419
% New rule produced :
% [763]
% one join converse(complement(one join A)) -> one join converse(complement(A))
% Current number of equations to process: 1689
% Current number of ordered equations: 0
% Current number of rules: 420
% New rule produced :
% [764]
% converse(complement(composition(top,complement(A)))) join converse(A) ->
% converse(A)
% Current number of equations to process: 1840
% Current number of ordered equations: 0
% Current number of rules: 421
% New rule produced :
% [765]
% converse(complement(composition(top,A))) join converse(complement(A)) ->
% converse(complement(A))
% Current number of equations to process: 1847
% Current number of ordered equations: 0
% Current number of rules: 422
% New rule produced :
% [766]
% converse(complement(A)) join complement(converse(complement(composition(top,A))))
% -> top
% Current number of equations to process: 2013
% Current number of ordered equations: 0
% Current number of rules: 423
% New rule produced :
% [767]
% one join complement(converse(complement(complement(one) join A))) -> top
% Current number of equations to process: 2020
% Current number of ordered equations: 0
% Current number of rules: 424
% New rule produced :
% [768]
% converse(A) join complement(converse(complement(complement(A) join B))) ->
% top
% Current number of equations to process: 2035
% Current number of ordered equations: 0
% Current number of rules: 425
% New rule produced :
% [769]
% complement(one) join complement(converse(complement(one join A))) -> top
% Current number of equations to process: 2251
% Current number of ordered equations: 0
% Current number of rules: 426
% New rule produced :
% [770]
% converse(complement(A)) join complement(converse(complement(composition(A,top))))
% -> top
% Current number of equations to process: 2264
% Current number of ordered equations: 0
% Current number of rules: 427
% New rule produced :
% [771]
% complement(sk1) join complement(converse(complement(converse(sk1) join A)))
% -> top
% Current number of equations to process: 2351
% Current number of ordered equations: 0
% Current number of rules: 428
% New rule produced :
% [772]
% complement(sk2) join complement(converse(complement(converse(sk2) join A)))
% -> top
% Current number of equations to process: 2350
% Current number of ordered equations: 0
% Current number of rules: 429
% New rule produced :
% [773]
% complement(converse(complement(converse(A) join B))) join complement(A) ->
% top
% Rule
% [771]
% complement(sk1) join complement(converse(complement(converse(sk1) join A)))
% -> top collapsed.
% Rule
% [772]
% complement(sk2) join complement(converse(complement(converse(sk2) join A)))
% -> top collapsed.
% Current number of equations to process: 2349
% Current number of ordered equations: 0
% Current number of rules: 428
% New rule produced :
% [774]
% complement(converse(complement(converse(complement(A)) join B))) join A ->
% top
% Current number of equations to process: 2348
% Current number of ordered equations: 0
% Current number of rules: 429
% New rule produced :
% [775]
% complement(composition(composition(top,A),top)) join complement(A) ->
% complement(A)
% Current number of equations to process: 2489
% Current number of ordered equations: 0
% Current number of rules: 430
% New rule produced :
% [776]
% composition(top,composition(A,top)) join complement(composition(A,B)) -> top
% Current number of equations to process: 2654
% Current number of ordered equations: 0
% Current number of rules: 431
% New rule produced :
% [777]
% composition(A,sk2) join complement(composition(composition(A,sk2),B)) -> top
% Current number of equations to process: 2653
% Current number of ordered equations: 0
% Current number of rules: 432
% New rule produced :
% [778]
% composition(A,top) join complement(composition(composition(A,B),C)) -> top
% Current number of equations to process: 2652
% Current number of ordered equations: 0
% Current number of rules: 433
% New rule produced :
% [779]
% composition(A,sk1) join complement(composition(composition(A,sk1),B)) -> top
% Current number of equations to process: 2651
% Current number of ordered equations: 0
% Current number of rules: 434
% New rule produced :
% [780]
% composition(complement(composition(A,B)),top) join composition(A,top) -> top
% Rule
% [501]
% composition(complement(composition(A,sk1)),top) join composition(A,top) ->
% top collapsed.
% Rule
% [502]
% composition(complement(composition(A,sk2)),top) join composition(A,top) ->
% top collapsed.
% Current number of equations to process: 2648
% Current number of ordered equations: 0
% Current number of rules: 433
% New rule produced :
% [781]
% converse(composition(A,top)) join complement(one) ->
% composition(A,top) join complement(one)
% Rule
% [748]
% converse(composition(complement(one),top)) join complement(one) ->
% converse(composition(complement(one),top)) collapsed.
% Current number of equations to process: 2694
% Current number of ordered equations: 0
% Current number of rules: 433
% Rule [703]
% composition(top,composition(complement(one),A)) <->
% composition(converse(composition(complement(one),top)),A) is composed into
% [703]
% composition(top,composition(complement(one),A)) <->
% composition(composition(complement(one),top),A)
% Rule [702]
% composition(composition(A,top),complement(one)) <->
% composition(A,converse(composition(complement(one),top))) is composed into
% [702]
% composition(composition(A,top),complement(one)) <->
% composition(A,composition(complement(one),top))
% New rule produced :
% [782]
% converse(composition(complement(one),top)) ->
% composition(complement(one),top)
% Rule [687] one join converse(composition(complement(one),top)) -> top
% collapsed.
% Rule
% [701]
% composition(A,converse(composition(complement(one),top))) <->
% composition(composition(A,top),complement(one)) collapsed.
% Rule
% [704]
% composition(converse(composition(complement(one),top)),A) <->
% composition(top,composition(complement(one),A)) collapsed.
% Current number of equations to process: 2695
% Current number of ordered equations: 0
% Current number of rules: 431
% New rule produced :
% [783]
% sk1 join converse(sk1) join complement(one) ->
% converse(sk1) join complement(one)
% Current number of equations to process: 2819
% Current number of ordered equations: 0
% Current number of rules: 432
% New rule produced :
% [784]
% sk2 join converse(sk2) join complement(one) ->
% converse(sk2) join complement(one)
% Current number of equations to process: 2818
% Current number of ordered equations: 0
% Current number of rules: 433
% New rule produced : [785] sk2 join composition(composition(sk2,A),B) -> sk2
% Current number of equations to process: 2849
% Current number of ordered equations: 0
% Current number of rules: 434
% New rule produced : [786] sk1 join composition(composition(sk1,A),B) -> sk1
% Current number of equations to process: 2928
% Current number of ordered equations: 0
% Current number of rules: 435
% New rule produced :
% [787] composition(sk2,A) join composition(top,sk2) -> composition(top,sk2)
% Current number of equations to process: 2984
% Current number of ordered equations: 0
% Current number of rules: 436
% New rule produced :
% [788] sk2 join composition(complement(sk2),A) -> sk2 join composition(top,A)
% Current number of equations to process: 2983
% Current number of ordered equations: 0
% Current number of rules: 437
% New rule produced :
% [789] sk2 join composition(top,complement(composition(sk2,A))) -> top
% Current number of equations to process: 2981
% Current number of ordered equations: 0
% Current number of rules: 438
% New rule produced :
% [790] sk1 join composition(complement(sk1),A) -> sk1 join composition(top,A)
% Current number of equations to process: 2978
% Current number of ordered equations: 1
% Current number of rules: 439
% New rule produced :
% [791] composition(sk1,A) join composition(top,sk1) -> composition(top,sk1)
% Current number of equations to process: 2978
% Current number of ordered equations: 0
% Current number of rules: 440
% New rule produced :
% [792] sk1 join composition(top,complement(composition(sk1,A))) -> top
% Current number of equations to process: 2977
% Current number of ordered equations: 0
% Current number of rules: 441
% New rule produced :
% [793]
% complement(sk2) join complement(composition(sk2,A)) ->
% complement(composition(sk2,A))
% Current number of equations to process: 3148
% Current number of ordered equations: 0
% Current number of rules: 442
% New rule produced :
% [794]
% complement(sk1) join complement(composition(sk1,A)) ->
% complement(composition(sk1,A))
% Current number of equations to process: 3147
% Current number of ordered equations: 0
% Current number of rules: 443
% New rule produced :
% [795] sk2 join composition(converse(composition(A,converse(sk2))),B) -> sk2
% Current number of equations to process: 3146
% Current number of ordered equations: 0
% Current number of rules: 444
% New rule produced :
% [796] sk2 join complement(complement(composition(sk2,A)) join B) -> sk2
% Current number of equations to process: 3145
% Current number of ordered equations: 0
% Current number of rules: 445
% New rule produced :
% [797] sk1 join composition(converse(composition(A,converse(sk1))),B) -> sk1
% Current number of equations to process: 3144
% Current number of ordered equations: 0
% Current number of rules: 446
% New rule produced :
% [798] sk1 join complement(complement(composition(sk1,A)) join B) -> sk1
% Current number of equations to process: 3143
% Current number of ordered equations: 0
% Current number of rules: 447
% New rule produced :
% [799]
% composition(top,composition(A,top)) join A ->
% composition(top,composition(A,top))
% Current number of equations to process: 3142
% Current number of ordered equations: 0
% Current number of rules: 448
% New rule produced :
% [800]
% sk2 join complement(composition(sk2,B) join A) -> sk2 join complement(A)
% Current number of equations to process: 3206
% Current number of ordered equations: 0
% Current number of rules: 449
% New rule produced :
% [801]
% sk1 join complement(composition(sk1,B) join A) -> sk1 join complement(A)
% Current number of equations to process: 3205
% Current number of ordered equations: 0
% Current number of rules: 450
% New rule produced :
% [802]
% composition(sk2,A) join composition(composition(sk2,B),A) ->
% composition(sk2,A)
% Current number of equations to process: 3211
% Current number of ordered equations: 0
% Current number of rules: 451
% New rule produced :
% [803]
% composition(A,sk2) join composition(A,composition(sk2,B)) ->
% composition(A,sk2)
% Current number of equations to process: 3210
% Current number of ordered equations: 0
% Current number of rules: 452
% New rule produced :
% [804]
% sk2 join converse(composition(converse(A),composition(B,converse(sk2)))) ->
% sk2
% Current number of equations to process: 3209
% Current number of ordered equations: 0
% Current number of rules: 453
% New rule produced :
% [805]
% converse(complement(composition(sk2,A))) join complement(converse(complement(sk2)))
% -> top
% Current number of equations to process: 3207
% Current number of ordered equations: 0
% Current number of rules: 454
% New rule produced :
% [806]
% composition(sk1,A) join composition(composition(sk1,B),A) ->
% composition(sk1,A)
% Current number of equations to process: 3205
% Current number of ordered equations: 0
% Current number of rules: 455
% New rule produced :
% [807]
% composition(A,sk1) join composition(A,composition(sk1,B)) ->
% composition(A,sk1)
% Current number of equations to process: 3204
% Current number of ordered equations: 0
% Current number of rules: 456
% New rule produced :
% [808]
% sk1 join converse(composition(converse(A),composition(B,converse(sk1)))) ->
% sk1
% Current number of equations to process: 3203
% Current number of ordered equations: 0
% Current number of rules: 457
% New rule produced :
% [809]
% converse(complement(composition(sk1,A))) join complement(converse(complement(sk1)))
% -> top
% Current number of equations to process: 3201
% Current number of ordered equations: 0
% Current number of rules: 458
% New rule produced :
% [810]
% converse(composition(complement(one),composition(top,A))) <->
% composition(converse(A),composition(complement(one),top))
% Current number of equations to process: 3200
% Current number of ordered equations: 1
% Current number of rules: 459
% New rule produced :
% [811]
% composition(converse(A),composition(complement(one),top)) <->
% converse(composition(complement(one),composition(top,A)))
% Current number of equations to process: 3200
% Current number of ordered equations: 0
% Current number of rules: 460
% New rule produced :
% [812]
% converse(composition(composition(A,complement(one)),top)) <->
% composition(composition(complement(one),top),converse(A))
% Current number of equations to process: 3199
% Current number of ordered equations: 1
% Current number of rules: 461
% New rule produced :
% [813]
% composition(composition(complement(one),top),converse(A)) <->
% converse(composition(composition(A,complement(one)),top))
% Current number of equations to process: 3199
% Current number of ordered equations: 0
% Current number of rules: 462
% New rule produced :
% [814]
% composition(composition(complement(one),top),complement(composition(complement(one),top)))
% -> zero
% Current number of equations to process: 3198
% Current number of ordered equations: 0
% Current number of rules: 463
% New rule produced :
% [815] one join converse(complement(complement(one) join A)) -> one
% Current number of equations to process: 3250
% Current number of ordered equations: 0
% Current number of rules: 464
% New rule produced :
% [816]
% converse(complement(one join A)) join complement(one) -> complement(one)
% Current number of equations to process: 3514
% Current number of ordered equations: 0
% Current number of rules: 465
% New rule produced :
% [817]
% converse(complement(composition(A,top))) join converse(complement(A)) ->
% converse(complement(A))
% Current number of equations to process: 3529
% Current number of ordered equations: 0
% Current number of rules: 466
% New rule produced :
% [818]
% converse(composition(top,complement(converse(A)))) join composition(A,top) ->
% top
% Current number of equations to process: 3684
% Current number of ordered equations: 0
% Current number of rules: 467
% New rule produced :
% [819]
% composition(sk2,complement(composition(top,complement(converse(composition(top,sk2))))))
% -> sk2
% Current number of equations to process: 3813
% Current number of ordered equations: 0
% Current number of rules: 468
% Rule [499]
% composition(converse(A),A) join complement(one) ->
% converse(composition(top,A)) join complement(one) is composed into
% [499]
% composition(converse(A),A) join complement(one) ->
% composition(top,A) join complement(one)
% New rule produced :
% [820]
% converse(composition(top,A)) join complement(one) ->
% composition(top,A) join complement(one)
% Current number of equations to process: 3939
% Current number of ordered equations: 0
% Current number of rules: 469
% New rule produced :
% [821]
% composition(sk1,complement(composition(top,complement(converse(composition(top,sk1))))))
% -> sk1
% Current number of equations to process: 4178
% Current number of ordered equations: 0
% Current number of rules: 470
% New rule produced :
% [822]
% composition(top,sk2) join composition(composition(A,sk2),B) ->
% composition(top,sk2)
% Current number of equations to process: 4293
% Current number of ordered equations: 0
% Current number of rules: 471
% New rule produced :
% [823]
% composition(top,sk1) join composition(composition(A,sk1),B) ->
% composition(top,sk1)
% Current number of equations to process: 4751
% Current number of ordered equations: 0
% Current number of rules: 472
% New rule produced :
% [824]
% converse(composition(composition(top,A),top)) join complement(converse(A)) ->
% top
% Current number of equations to process: 4928
% Current number of ordered equations: 0
% Current number of rules: 473
% New rule produced :
% [825]
% composition(top,complement(A)) join complement(composition(top,A)) ->
% composition(top,complement(A))
% Current number of equations to process: 4927
% Current number of ordered equations: 0
% Current number of rules: 474
% New rule produced :
% [826]
% composition(complement(A),top) join complement(composition(top,A)) ->
% composition(complement(A),top)
% Rule
% [669]
% composition(complement(sk2),top) join complement(composition(top,sk2)) ->
% composition(complement(sk2),top) collapsed.
% Rule
% [671]
% composition(complement(sk1),top) join complement(composition(top,sk1)) ->
% composition(complement(sk1),top) collapsed.
% Current number of equations to process: 4926
% Current number of ordered equations: 0
% Current number of rules: 473
% New rule produced :
% [827]
% complement(sk2 join A) join complement(composition(sk2,B)) ->
% complement(composition(sk2,B))
% Current number of equations to process: 4925
% Current number of ordered equations: 0
% Current number of rules: 474
% New rule produced :
% [828]
% complement(sk1 join A) join complement(composition(sk1,B)) ->
% complement(composition(sk1,B))
% Current number of equations to process: 4924
% Current number of ordered equations: 0
% Current number of rules: 475
% New rule produced :
% [829]
% composition(composition(A,top),composition(complement(one),top)) ->
% composition(A,composition(complement(one),top))
% Current number of equations to process: 4922
% Current number of ordered equations: 0
% Current number of rules: 476
% New rule produced :
% [830]
% composition(composition(top,complement(one)),composition(top,A)) ->
% composition(composition(complement(one),top),A)
% Current number of equations to process: 4921
% Current number of ordered equations: 0
% Current number of rules: 477
% New rule produced :
% [831]
% converse(composition(composition(complement(one),top),converse(A))) <->
% composition(composition(A,complement(one)),top)
% Current number of equations to process: 4918
% Current number of ordered equations: 1
% Current number of rules: 478
% New rule produced :
% [832]
% composition(composition(A,complement(one)),top) <->
% converse(composition(composition(complement(one),top),converse(A)))
% Current number of equations to process: 4918
% Current number of ordered equations: 0
% Current number of rules: 479
% New rule produced :
% [833]
% converse(composition(converse(A),composition(complement(one),top))) <->
% composition(complement(one),composition(top,A))
% Current number of equations to process: 4917
% Current number of ordered equations: 1
% Current number of rules: 480
% New rule produced :
% [834]
% composition(complement(one),composition(top,A)) <->
% converse(composition(converse(A),composition(complement(one),top)))
% Current number of equations to process: 4917
% Current number of ordered equations: 0
% Current number of rules: 481
% New rule produced :
% [835]
% composition(top,A) join complement(composition(top,complement(A))) ->
% composition(top,A)
% Current number of equations to process: 2341
% Current number of ordered equations: 0
% Current number of rules: 482
% New rule produced :
% [836] composition(top,sk2) join complement(composition(sk2,A)) -> top
% Current number of equations to process: 2442
% Current number of ordered equations: 0
% Current number of rules: 483
% New rule produced :
% [837] composition(top,sk1) join complement(composition(sk1,A)) -> top
% Current number of equations to process: 2441
% Current number of ordered equations: 0
% Current number of rules: 484
% New rule produced :
% [838] composition(top,composition(A,top)) join complement(A) -> top
% Current number of equations to process: 2448
% Current number of ordered equations: 0
% Current number of rules: 485
% New rule produced :
% [839]
% composition(top,complement(A)) join complement(composition(A,top)) ->
% composition(top,complement(A))
% Current number of equations to process: 3063
% Current number of ordered equations: 0
% Current number of rules: 486
% Rule [512]
% composition(converse(composition(A,sk1)),composition(A,sk1)) ->
% converse(composition(top,composition(A,sk1))) is composed into [512]
% composition(
% converse(
% composition(A,sk1)),
% composition(A,sk1))
% ->
% composition(top,
% composition(A,sk1))
% New rule produced :
% [840]
% converse(composition(top,composition(A,sk1))) ->
% composition(top,composition(A,sk1))
% Current number of equations to process: 3078
% Current number of ordered equations: 0
% Current number of rules: 487
% New rule produced :
% [841]
% converse(composition(converse(sk1),composition(A,top))) ->
% composition(converse(sk1),composition(A,top))
% Current number of equations to process: 3077
% Current number of ordered equations: 0
% Current number of rules: 488
% Rule [531] composition(converse(sk1),sk1) -> converse(composition(top,sk1)) is composed into
% [531] composition(converse(sk1),sk1) -> composition(top,sk1)
% New rule produced :
% [842] converse(composition(top,sk1)) -> composition(top,sk1)
% Rule
% [594]
% converse(composition(top,sk1)) join complement(composition(A,converse(sk1)))
% -> top collapsed.
% Rule
% [757]
% converse(composition(top,sk1)) join composition(A,converse(sk1)) ->
% converse(composition(top,sk1)) collapsed.
% Rule
% [821]
% composition(sk1,complement(composition(top,complement(converse(composition(top,sk1))))))
% -> sk1 collapsed.
% Current number of equations to process: 3120
% Current number of ordered equations: 0
% Current number of rules: 486
% New rule produced :
% [843]
% composition(top,sk1) join complement(composition(A,converse(sk1))) -> top
% Current number of equations to process: 3119
% Current number of ordered equations: 0
% Current number of rules: 487
% New rule produced :
% [844]
% composition(top,sk1) join composition(A,converse(sk1)) ->
% composition(top,sk1)
% Current number of equations to process: 3118
% Current number of ordered equations: 0
% Current number of rules: 488
% New rule produced :
% [845]
% composition(sk1,complement(composition(top,complement(composition(top,sk1)))))
% -> sk1
% Current number of equations to process: 3117
% Current number of ordered equations: 0
% Current number of rules: 489
% Rule [513]
% composition(converse(composition(A,sk2)),composition(A,sk2)) ->
% converse(composition(top,composition(A,sk2))) is composed into [513]
% composition(
% converse(
% composition(A,sk2)),
% composition(A,sk2))
% ->
% composition(top,
% composition(A,sk2))
% New rule produced :
% [846]
% converse(composition(top,composition(A,sk2))) ->
% composition(top,composition(A,sk2))
% Current number of equations to process: 3137
% Current number of ordered equations: 0
% Current number of rules: 490
% New rule produced :
% [847]
% converse(composition(converse(sk2),composition(A,top))) ->
% composition(converse(sk2),composition(A,top))
% Current number of equations to process: 3136
% Current number of ordered equations: 0
% Current number of rules: 491
% Rule [636] composition(converse(sk2),sk2) -> converse(composition(top,sk2)) is composed into
% [636] composition(converse(sk2),sk2) -> composition(top,sk2)
% New rule produced :
% [848] converse(composition(top,sk2)) -> composition(top,sk2)
% Rule
% [598]
% converse(composition(top,sk2)) join complement(composition(A,converse(sk2)))
% -> top collapsed.
% Rule
% [761]
% converse(composition(top,sk2)) join composition(A,converse(sk2)) ->
% converse(composition(top,sk2)) collapsed.
% Rule
% [819]
% composition(sk2,complement(composition(top,complement(converse(composition(top,sk2))))))
% -> sk2 collapsed.
% Current number of equations to process: 3179
% Current number of ordered equations: 0
% Current number of rules: 489
% New rule produced :
% [849]
% composition(top,sk2) join complement(composition(A,converse(sk2))) -> top
% Current number of equations to process: 3178
% Current number of ordered equations: 0
% Current number of rules: 490
% New rule produced :
% [850]
% composition(top,sk2) join composition(A,converse(sk2)) ->
% composition(top,sk2)
% Current number of equations to process: 3177
% Current number of ordered equations: 0
% Current number of rules: 491
% New rule produced :
% [851]
% composition(sk2,complement(composition(top,complement(composition(top,sk2)))))
% -> sk2
% Current number of equations to process: 3176
% Current number of ordered equations: 0
% Current number of rules: 492
% New rule produced :
% [852]
% complement(composition(A,complement(composition(top,complement(B))))) join B
% -> top
% Rule
% [519]
% complement(composition(top,complement(composition(top,complement(A))))) join A
% -> top collapsed.
% Current number of equations to process: 3732
% Current number of ordered equations: 0
% Current number of rules: 492
% New rule produced : [853] composition(sk2,complement(A)) join A -> sk2 join A
% Current number of equations to process: 4354
% Current number of ordered equations: 0
% Current number of rules: 493
% New rule produced : [854] composition(sk1,complement(A)) join A -> sk1 join A
% Current number of equations to process: 4368
% Current number of ordered equations: 0
% Current number of rules: 494
% New rule produced :
% [855]
% composition(converse(composition(sk1,A)),composition(complement(sk1),B)) ->
% zero
% Current number of equations to process: 4439
% Current number of ordered equations: 0
% Current number of rules: 495
% New rule produced :
% [856]
% composition(composition(A,converse(complement(sk1))),composition(sk1,B)) ->
% zero
% Current number of equations to process: 4443
% Current number of ordered equations: 0
% Current number of rules: 496
% New rule produced :
% [857]
% composition(converse(composition(complement(sk1),A)),composition(sk1,B)) ->
% zero
% Current number of equations to process: 4442
% Current number of ordered equations: 0
% Current number of rules: 497
% New rule produced :
% [858]
% composition(composition(A,converse(sk1)),composition(complement(sk1),B)) ->
% zero
% Current number of equations to process: 4462
% Current number of ordered equations: 0
% Current number of rules: 498
% New rule produced :
% [859]
% composition(composition(A,converse(sk1)),sk1) ->
% composition(A,composition(top,sk1))
% Current number of equations to process: 4467
% Current number of ordered equations: 0
% Current number of rules: 499
% New rule produced :
% [860] complement(sk1) join complement(composition(complement(sk1),A)) -> top
% Current number of equations to process: 4468
% Current number of ordered equations: 0
% Current number of rules: 500
% New rule produced :
% [861]
% sk1 join complement(composition(complement(sk1),A)) ->
% complement(composition(complement(sk1),A))
% Current number of equations to process: 4470
% Current number of ordered equations: 0
% Current number of rules: 501
% New rule produced :
% [862]
% composition(converse(sk1),complement(composition(complement(sk1),A))) ->
% composition(top,sk1)
% Current number of equations to process: 4474
% Current number of ordered equations: 0
% Current number of rules: 502
% New rule produced :
% [863]
% composition(converse(sk1),composition(sk1,A)) <->
% composition(composition(top,sk1),A)
% Current number of equations to process: 4492
% Current number of ordered equations: 1
% Current number of rules: 503
% New rule produced :
% [864]
% composition(composition(top,sk1),A) <->
% composition(converse(sk1),composition(sk1,A))
% Current number of equations to process: 4492
% Current number of ordered equations: 0
% Current number of rules: 504
% New rule produced :
% [865]
% composition(composition(top,sk1),complement(composition(top,sk1))) -> zero
% Current number of equations to process: 4494
% Current number of ordered equations: 0
% Current number of rules: 505
% New rule produced :
% [866]
% composition(composition(top,sk1),converse(A)) ->
% converse(composition(A,composition(top,sk1)))
% Current number of equations to process: 4493
% Current number of ordered equations: 0
% Current number of rules: 506
% New rule produced :
% [867]
% composition(converse(A),composition(top,sk1)) ->
% converse(composition(composition(top,sk1),A))
% Current number of equations to process: 4492
% Current number of ordered equations: 0
% Current number of rules: 507
% New rule produced :
% [868]
% converse(complement(composition(top,sk1))) join composition(top,sk1) -> top
% Current number of equations to process: 4490
% Current number of ordered equations: 0
% Current number of rules: 508
% New rule produced :
% [869]
% composition(complement(composition(A,converse(sk1))),complement(sk1)) ->
% composition(top,complement(sk1))
% Current number of equations to process: 4486
% Current number of ordered equations: 0
% Current number of rules: 509
% New rule produced :
% [870]
% composition(A,composition(top,complement(B))) join B ->
% composition(A,top) join B
% Current number of equations to process: 4487
% Current number of ordered equations: 0
% Current number of rules: 510
% New rule produced :
% [871]
% complement(composition(sk1,A)) join complement(composition(complement(sk1),top))
% -> top
% Current number of equations to process: 4484
% Current number of ordered equations: 0
% Current number of rules: 511
% New rule produced :
% [872]
% composition(complement(converse(complement(sk1))),composition(sk1,A)) ->
% composition(top,composition(sk1,A))
% Current number of equations to process: 4482
% Current number of ordered equations: 0
% Current number of rules: 512
% New rule produced :
% [873]
% composition(converse(complement(sk1)),complement(composition(sk1,A))) ->
% converse(composition(top,complement(sk1)))
% Current number of equations to process: 4481
% Current number of ordered equations: 0
% Current number of rules: 513
% New rule produced :
% [874]
% sk1 join complement(converse(composition(composition(top,A),converse(sk1))))
% -> top
% Current number of equations to process: 4480
% Current number of ordered equations: 0
% Current number of rules: 514
% New rule produced :
% [875] composition(sk2,A) join complement(A) -> sk2 join complement(A)
% Current number of equations to process: 4634
% Current number of ordered equations: 0
% Current number of rules: 515
% New rule produced :
% [876] composition(sk1,A) join complement(A) -> sk1 join complement(A)
% Current number of equations to process: 4637
% Current number of ordered equations: 0
% Current number of rules: 516
% New rule produced :
% [877]
% complement(composition(A,complement(composition(top,composition(A,top))))) ->
% top
% Current number of equations to process: 4849
% Current number of ordered equations: 0
% Current number of rules: 517
% New rule produced :
% [878]
% converse(composition(composition(top,A),converse(A))) -> composition(A,top)
% Current number of equations to process: 4852
% Current number of ordered equations: 0
% Current number of rules: 518
% New rule produced :
% [879]
% composition(complement(one),composition(complement(one),top)) ->
% composition(complement(one),top)
% Current number of equations to process: 4915
% Current number of ordered equations: 0
% Current number of rules: 519
% New rule produced :
% [880]
% composition(converse(composition(A,top)),composition(top,A)) ->
% composition(top,A)
% Current number of equations to process: 4919
% Current number of ordered equations: 0
% Current number of rules: 520
% New rule produced :
% [881]
% composition(converse(composition(top,A)),composition(A,top)) ->
% converse(composition(top,A))
% Current number of equations to process: 4922
% Current number of ordered equations: 0
% Current number of rules: 521
% New rule produced :
% [882] composition(complement(composition(complement(A),top)),B) join A -> A
% Rule
% [538] composition(complement(composition(complement(A),top)),top) join A -> A
% collapsed.
% Current number of equations to process: 4945
% Current number of ordered equations: 0
% Current number of rules: 521
% New rule produced :
% [883]
% composition(converse(composition(A,top)),composition(A,B)) ->
% composition(composition(top,A),B)
% Current number of equations to process: 4945
% Current number of ordered equations: 0
% Current number of rules: 522
% New rule produced :
% [884]
% composition(composition(A,top),composition(converse(B),B)) ->
% composition(A,composition(top,B))
% Current number of equations to process: 4944
% Current number of ordered equations: 0
% Current number of rules: 523
% New rule produced :
% [885]
% complement(composition(complement(composition(complement(A),top)),top)) join A
% -> top
% Current number of equations to process: 4941
% Current number of ordered equations: 0
% Current number of rules: 524
% New rule produced :
% [886]
% composition(composition(A,complement(one)),complement(composition(complement(one),top)))
% -> zero
% Current number of equations to process: 4986
% Current number of ordered equations: 0
% Current number of rules: 525
% New rule produced :
% [887]
% composition(complement(one),composition(complement(composition(complement(one),top)),A))
% -> zero
% Current number of equations to process: 350
% Current number of ordered equations: 0
% Current number of rules: 526
% New rule produced :
% [888]
% composition(complement(composition(top,A)),composition(converse(A),B)) ->
% zero
% Current number of equations to process: 351
% Current number of ordered equations: 1
% Current number of rules: 527
% New rule produced :
% [889]
% composition(complement(composition(top,A)),converse(composition(top,A))) ->
% zero
% Current number of equations to process: 351
% Current number of ordered equations: 0
% Current number of rules: 528
% New rule produced :
% [890]
% composition(composition(A,top),converse(composition(B,top))) ->
% composition(A,converse(composition(B,top)))
% Current number of equations to process: 350
% Current number of ordered equations: 0
% Current number of rules: 529
% New rule produced :
% [891]
% composition(complement(sk1),top) join complement(composition(sk1,A)) ->
% complement(composition(sk1,A))
% Current number of equations to process: 346
% Current number of ordered equations: 0
% Current number of rules: 530
% New rule produced :
% [892]
% composition(A,composition(top,B)) join complement(B) ->
% composition(A,top) join complement(B)
% Current number of equations to process: 345
% Current number of ordered equations: 0
% Current number of rules: 531
% New rule produced :
% [893]
% composition(composition(A,converse(B)),composition(B,top)) ->
% composition(A,converse(composition(top,B)))
% Current number of equations to process: 342
% Current number of ordered equations: 0
% Current number of rules: 532
% New rule produced :
% [894]
% composition(composition(converse(A),A),composition(top,B)) ->
% composition(converse(composition(top,A)),B)
% Current number of equations to process: 341
% Current number of ordered equations: 0
% Current number of rules: 533
% New rule produced :
% [895]
% composition(converse(composition(A,B)),composition(A,top)) ->
% converse(composition(composition(top,A),B))
% Current number of equations to process: 340
% Current number of ordered equations: 0
% Current number of rules: 534
% New rule produced :
% [896]
% composition(converse(A),composition(A,composition(top,B))) ->
% composition(converse(composition(top,A)),B)
% Current number of equations to process: 338
% Current number of ordered equations: 0
% Current number of rules: 535
% New rule produced :
% [897]
% converse(composition(composition(top,A),top)) ->
% composition(composition(top,A),top)
% Rule
% [728]
% converse(composition(composition(top,A),top)) join converse(complement(A)) ->
% top collapsed.
% Rule
% [824]
% converse(composition(composition(top,A),top)) join complement(converse(A)) ->
% top collapsed.
% Current number of equations to process: 335
% Current number of ordered equations: 0
% Current number of rules: 534
% New rule produced :
% [898] converse(complement(A)) join composition(composition(top,A),top) -> top
% Current number of equations to process: 334
% Current number of ordered equations: 0
% Current number of rules: 535
% New rule produced :
% [899] composition(composition(top,A),top) join complement(converse(A)) -> top
% Current number of equations to process: 333
% Current number of ordered equations: 0
% Current number of rules: 536
% New rule produced :
% [900]
% converse(composition(top,composition(A,top))) ->
% composition(composition(top,A),top)
% Rule
% [564]
% converse(sk2) join converse(composition(top,composition(complement(sk2),top)))
% -> top collapsed.
% Rule
% [571]
% converse(sk1) join converse(composition(top,composition(complement(sk1),top)))
% -> top collapsed.
% Rule
% [580]
% converse(composition(top,composition(A,top))) join converse(complement(A)) ->
% top collapsed.
% Rule
% [600]
% converse(composition(top,composition(A,top))) join complement(converse(A)) ->
% top collapsed.
% Current number of equations to process: 334
% Current number of ordered equations: 0
% Current number of rules: 533
% New rule produced :
% [901]
% converse(sk2) join composition(composition(top,complement(sk2)),top) -> top
% Current number of equations to process: 333
% Current number of ordered equations: 0
% Current number of rules: 534
% New rule produced :
% [902]
% converse(sk1) join composition(composition(top,complement(sk1)),top) -> top
% Current number of equations to process: 332
% Current number of ordered equations: 0
% Current number of rules: 535
% New rule produced :
% [903] sk1 join complement(converse(composition(A,converse(sk1)))) -> top
% Rule
% [874]
% sk1 join complement(converse(composition(composition(top,A),converse(sk1))))
% -> top collapsed.
% Current number of equations to process: 523
% Current number of ordered equations: 0
% Current number of rules: 535
% New rule produced :
% [904] sk2 join complement(converse(composition(A,converse(sk2)))) -> top
% Current number of equations to process: 522
% Current number of ordered equations: 0
% Current number of rules: 536
% New rule produced :
% [905]
% converse(complement(composition(sk2,A))) join composition(top,sk2) -> top
% Current number of equations to process: 770
% Current number of ordered equations: 0
% Current number of rules: 537
% New rule produced :
% [906]
% converse(complement(composition(sk1,A))) join composition(top,sk1) -> top
% Current number of equations to process: 817
% Current number of ordered equations: 0
% Current number of rules: 538
% New rule produced :
% [907]
% converse(sk2) join complement(converse(complement(composition(sk2,A)))) ->
% converse(sk2)
% Current number of equations to process: 860
% Current number of ordered equations: 0
% Current number of rules: 539
% New rule produced :
% [908]
% converse(sk1) join complement(converse(complement(composition(sk1,A)))) ->
% converse(sk1)
% Current number of equations to process: 859
% Current number of ordered equations: 0
% Current number of rules: 540
% New rule produced :
% [909]
% sk2 join complement(composition(composition(top,complement(sk2)),top)) -> sk2
% Current number of equations to process: 883
% Current number of ordered equations: 0
% Current number of rules: 541
% New rule produced :
% [910] converse(A) join composition(composition(top,complement(A)),top) -> top
% Rule
% [901]
% converse(sk2) join composition(composition(top,complement(sk2)),top) -> top
% collapsed.
% Rule
% [902]
% converse(sk1) join composition(composition(top,complement(sk1)),top) -> top
% collapsed.
% Current number of equations to process: 1045
% Current number of ordered equations: 0
% Current number of rules: 540
% New rule produced :
% [911]
% sk2 join complement(composition(top,complement(composition(sk2,A)))) -> sk2
% Current number of equations to process: 1503
% Current number of ordered equations: 0
% Current number of rules: 541
% New rule produced :
% [912]
% sk1 join complement(composition(top,complement(composition(sk1,A)))) -> sk1
% Current number of equations to process: 1502
% Current number of ordered equations: 0
% Current number of rules: 542
% New rule produced :
% [913] complement(composition(composition(top,complement(A)),top)) join A -> A
% Rule
% [909]
% sk2 join complement(composition(composition(top,complement(sk2)),top)) -> sk2
% collapsed.
% Current number of equations to process: 1770
% Current number of ordered equations: 0
% Current number of rules: 542
% New rule produced :
% [914]
% converse(sk2) join converse(composition(top,complement(composition(sk2,A))))
% -> top
% Current number of equations to process: 2751
% Current number of ordered equations: 0
% Current number of rules: 543
% New rule produced :
% [915]
% converse(sk2) join converse(complement(composition(composition(sk2,A),B))) ->
% top
% Current number of equations to process: 2750
% Current number of ordered equations: 0
% Current number of rules: 544
% New rule produced :
% [916]
% converse(sk2) join converse(composition(complement(composition(sk2,A)),top))
% -> top
% Current number of equations to process: 2749
% Current number of ordered equations: 0
% Current number of rules: 545
% New rule produced :
% [917]
% converse(sk1) join converse(composition(top,complement(composition(sk1,A))))
% -> top
% Current number of equations to process: 2748
% Current number of ordered equations: 0
% Current number of rules: 546
% New rule produced :
% [918]
% converse(sk1) join converse(complement(composition(composition(sk1,A),B))) ->
% top
% Current number of equations to process: 2747
% Current number of ordered equations: 0
% Current number of rules: 547
% New rule produced :
% [919]
% converse(sk1) join converse(composition(complement(composition(sk1,A)),top))
% -> top
% Current number of equations to process: 2746
% Current number of ordered equations: 0
% Current number of rules: 548
% New rule produced :
% [920]
% composition(A,top) join complement(composition(top,complement(A))) ->
% composition(A,top)
% Current number of equations to process: 2745
% Current number of ordered equations: 0
% Current number of rules: 549
% New rule produced :
% [921]
% composition(A,composition(B,top)) join complement(composition(A,B)) -> top
% Current number of equations to process: 2744
% Current number of ordered equations: 0
% Current number of rules: 550
% New rule produced :
% [922]
% composition(composition(top,A),top) join complement(composition(A,B)) -> top
% Current number of equations to process: 2745
% Current number of ordered equations: 0
% Current number of rules: 551
% New rule produced :
% [923]
% composition(top,A) join complement(composition(complement(A),top)) ->
% composition(top,A)
% Rule
% [567]
% composition(top,sk2) join complement(composition(complement(sk2),top)) ->
% composition(top,sk2) collapsed.
% Rule
% [573]
% composition(top,sk1) join complement(composition(complement(sk1),top)) ->
% composition(top,sk1) collapsed.
% Current number of equations to process: 3023
% Current number of ordered equations: 0
% Current number of rules: 550
% New rule produced :
% [924]
% composition(top,sk2) join composition(composition(top,complement(sk2)),top)
% -> top
% Current number of equations to process: 3079
% Current number of ordered equations: 0
% Current number of rules: 551
% New rule produced :
% [925]
% composition(top,sk1) join composition(composition(top,complement(sk1)),top)
% -> top
% Current number of equations to process: 3403
% Current number of ordered equations: 0
% Current number of rules: 552
% New rule produced :
% [926]
% complement(converse(composition(top,complement(converse(A))))) join A -> A
% Current number of equations to process: 3447
% Current number of ordered equations: 0
% Current number of rules: 553
% New rule produced :
% [927] composition(composition(top,complement(converse(A))),top) join A -> top
% Current number of equations to process: 3586
% Current number of ordered equations: 0
% Current number of rules: 554
% New rule produced :
% [928]
% sk2 join converse(composition(top,complement(converse(composition(sk2,A)))))
% -> top
% Current number of equations to process: 3649
% Current number of ordered equations: 0
% Current number of rules: 555
% New rule produced :
% [929]
% sk1 join converse(composition(top,complement(converse(composition(sk1,A)))))
% -> top
% Current number of equations to process: 3648
% Current number of ordered equations: 0
% Current number of rules: 556
% New rule produced :
% [930]
% sk1 join complement(converse(complement(composition(A,converse(sk1))))) ->
% sk1
% Current number of equations to process: 3936
% Current number of ordered equations: 0
% Current number of rules: 557
% New rule produced :
% [931] sk1 join complement(composition(composition(sk1,A),converse(B))) -> top
% Current number of equations to process: 3939
% Current number of ordered equations: 0
% Current number of rules: 558
% New rule produced :
% [932] sk1 join complement(composition(composition(sk1,converse(A)),B)) -> top
% Current number of equations to process: 3940
% Current number of ordered equations: 0
% Current number of rules: 559
% New rule produced :
% [933]
% sk2 join complement(converse(complement(composition(A,converse(sk2))))) ->
% sk2
% Current number of equations to process: 3998
% Current number of ordered equations: 0
% Current number of rules: 560
% New rule produced :
% [934] sk2 join complement(composition(composition(sk2,A),converse(B))) -> top
% Current number of equations to process: 4001
% Current number of ordered equations: 0
% Current number of rules: 561
% New rule produced :
% [935] sk2 join complement(composition(composition(sk2,converse(A)),B)) -> top
% Current number of equations to process: 4002
% Current number of ordered equations: 0
% Current number of rules: 562
% New rule produced :
% [936]
% sk1 join converse(composition(top,complement(composition(A,converse(sk1)))))
% -> top
% Current number of equations to process: 4048
% Current number of ordered equations: 0
% Current number of rules: 563
% New rule produced :
% [937]
% converse(complement(composition(A,converse(sk1)))) join composition(top,sk1)
% -> top
% Current number of equations to process: 4047
% Current number of ordered equations: 0
% Current number of rules: 564
% New rule produced :
% [938]
% sk1 join converse(complement(composition(A,composition(B,converse(sk1))))) ->
% top
% Current number of equations to process: 4046
% Current number of ordered equations: 0
% Current number of rules: 565
% New rule produced :
% [939]
% sk1 join converse(complement(composition(A,converse(composition(sk1,B))))) ->
% top
% Current number of equations to process: 4045
% Current number of ordered equations: 0
% Current number of rules: 566
% New rule produced :
% [940]
% sk1 join complement(composition(converse(composition(A,converse(sk1))),B)) ->
% top
% Current number of equations to process: 4044
% Current number of ordered equations: 0
% Current number of rules: 567
% New rule produced :
% [941]
% sk1 join converse(composition(complement(composition(A,converse(sk1))),top))
% -> top
% Current number Cputime limit exceeded (core dumped)
%
% EOF
%------------------------------------------------------------------------------