TSTP Solution File: REL006-1 by CiME---2.01
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%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : REL006-1 : TPTP v6.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n040.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32286.75MB
% OS : Linux 2.6.32-431.11.2.el6.x86_64
% CPULimit : 300s
% DateTime : Tue Jun 10 00:30:49 EDT 2014
% Result : Unsatisfiable 122.36s
% Output : Refutation 122.36s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : REL006-1 : TPTP v6.0.0. Released v4.0.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n040.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 16:14:33 CDT 2014
% % CPUTime : 122.36
% Processing problem /tmp/CiME_26179_n040.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));
% meet(converse(sk1),sk2) = zero;
% ";
%
% 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 " meet(sk1,converse(sk2)) = zero;"
% ;
% (*
% let Red_Axioms = normalize_equations Defining_rules Axioms;
%
% let Red_Conjectures = normalize_equations Defining_rules Conjectures;
% *)
% #time on;
%
% let res = prove_conj_by_ordered_completion o Axioms Conjectures;
%
% #time off;
%
%
% let status = if res then "unsatisfiable" else "satisfiable";
% #quit;
% Verbose level is now 1
%
% F : signature = <signature>
% X : variable_set = <variable set>
%
% Axioms : (F,X) equations = { composition(composition(A,B),C) =
% composition(A,composition(B,C)),
% A =
% complement(complement(A) join complement(B)) join
% complement(complement(A) join B),
% meet(A,B) =
% complement(complement(A) join complement(B)),
% composition(A,one) = A,
% composition(A join B,C) =
% composition(A,C) join composition(B,C),
% converse(converse(A)) = A,
% converse(A join B) =
% converse(A) join converse(B),
% converse(composition(A,B)) =
% composition(converse(B),converse(A)),
% composition(converse(A),complement(composition(A,B))) join
% complement(B) = complement(B),
% top = complement(A) join A,
% zero = meet(A,complement(A)),
% meet(converse(sk1),sk2) = zero }
% (12 equation(s))
% s1 : F status = <status>
% p1 : F precedence = <precedence>
% s2 : F status = <status>
% p2 : F precedence = <precedence>
% o_auto : F term_ordering = <term ordering>
% o : F term_ordering = <term ordering>
% Conjectures : (F,X) equations = { meet(sk1,converse(sk2)) = zero }
% (1 equation(s))
% time is now on
%
% Initializing completion ...
% New rule produced : [1] converse(converse(A)) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 12
% Current number of rules: 1
% New rule produced : [2] composition(A,one) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 11
% Current number of rules: 2
% New rule produced : [3] complement(A) join A -> top
% Current number of equations to process: 0
% Current number of ordered equations: 10
% Current number of rules: 3
% New rule produced : [4] meet(A,complement(A)) -> zero
% Current number of equations to process: 0
% Current number of ordered equations: 9
% Current number of rules: 4
% New rule produced : [5] meet(converse(sk1),sk2) -> zero
% Current number of equations to process: 0
% Current number of ordered equations: 8
% Current number of rules: 5
% New rule produced : [6] converse(A join B) -> converse(A) join converse(B)
% Current number of equations to process: 0
% Current number of ordered equations: 7
% Current number of rules: 6
% New rule produced :
% [7] composition(converse(B),converse(A)) -> converse(composition(A,B))
% Current number of equations to process: 0
% Current number of ordered equations: 6
% Current number of rules: 7
% New rule produced :
% [8] composition(A,composition(B,C)) <-> composition(composition(A,B),C)
% Current number of equations to process: 23
% Current number of ordered equations: 11
% Current number of rules: 8
% New rule produced :
% [9] composition(composition(A,B),C) <-> composition(A,composition(B,C))
% Current number of equations to process: 23
% Current number of ordered equations: 10
% Current number of rules: 9
% New rule produced :
% [10] meet(A,B) -> complement(complement(A) join complement(B))
% Rule [4] meet(A,complement(A)) -> zero collapsed.
% Rule [5] meet(converse(sk1),sk2) -> zero collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% complement(complement(sk1) join complement(converse(sk2))) = zero
%
% Current number of equations to process: 25
% Current number of ordered equations: 9
% Current number of rules: 8
% New rule produced : [11] complement(top) -> zero
% Current number of equations to process: 23
% Current number of ordered equations: 10
% Current number of rules: 9
% New rule produced :
% [12] complement(complement(sk2) join complement(converse(sk1))) -> zero
% Current number of equations to process: 23
% Current number of ordered equations: 9
% Current number of rules: 10
% 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: 11
% 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: 12
% 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: 13
% New rule produced : [16] top join complement(complement(A)) -> top join A
% Current number of equations to process: 23
% Current number of ordered equations: 5
% Current number of rules: 14
% New rule produced :
% [17] converse(complement(A)) join converse(A) -> converse(top)
% Current number of equations to process: 23
% Current number of ordered equations: 4
% Current number of rules: 15
% New rule produced :
% [18] converse(composition(B,converse(A))) <-> composition(A,converse(B))
% Current number of equations to process: 23
% Current number of ordered equations: 3
% Current number of rules: 16
% New rule produced :
% [19] converse(composition(converse(B),A)) <-> composition(converse(A),B)
% Current number of equations to process: 23
% Current number of ordered equations: 2
% Current number of rules: 17
% New rule produced :
% [20] composition(A,converse(B)) <-> converse(composition(B,converse(A)))
% Current number of equations to process: 23
% Current number of ordered equations: 1
% Current number of rules: 18
% New rule produced :
% [21] composition(converse(A),B) <-> converse(composition(converse(B),A))
% Current number of equations to process: 23
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [22] composition(A,composition(one,B)) -> composition(A,B)
% Current number of equations to process: 25
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced : [23] zero join top -> top
% Current number of equations to process: 31
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [24] zero join complement(sk2) join complement(converse(sk1)) -> top
% Current number of equations to process: 38
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [25] composition(complement(B),A) join composition(B,A) -> composition(top,A)
% Current number of equations to process: 44
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [26] top join composition(converse(A),complement(composition(A,B))) -> top
% Current number of equations to process: 43
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [27] top join complement(A join B) join B -> top join complement(A)
% Current number of equations to process: 42
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [28]
% composition(A,converse(composition(B,C))) <->
% composition(composition(A,converse(C)),converse(B))
% Current number of equations to process: 41
% Current number of ordered equations: 1
% Current number of rules: 26
% New rule produced :
% [29]
% composition(composition(A,converse(C)),converse(B)) <->
% composition(A,converse(composition(B,C)))
% Current number of equations to process: 41
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [30]
% composition(converse(B),composition(converse(A),C)) <->
% composition(converse(composition(A,B)),C)
% Current number of equations to process: 40
% Current number of ordered equations: 1
% Current number of rules: 28
% New rule produced :
% [31]
% composition(converse(composition(A,B)),C) <->
% composition(converse(B),composition(converse(A),C))
% Current number of equations to process: 40
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [32] top join complement(complement(A join B) join B) -> top join A
% Current number of equations to process: 37
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [33]
% composition(A,composition(composition(B,C),V_3)) <->
% composition(composition(A,B),composition(C,V_3))
% Current number of equations to process: 36
% Current number of ordered equations: 1
% Current number of rules: 31
% New rule produced :
% [34]
% composition(composition(A,B),composition(C,V_3)) <->
% composition(A,composition(composition(B,C),V_3))
% Current number of equations to process: 36
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [35]
% composition(A,composition(composition(B,C),V_3)) <->
% composition(composition(composition(A,B),C),V_3)
% Current number of equations to process: 33
% Current number of ordered equations: 5
% Current number of rules: 33
% New rule produced :
% [36]
% composition(A,composition(B,composition(C,V_3))) <->
% composition(composition(A,composition(B,C)),V_3)
% Current number of equations to process: 33
% Current number of ordered equations: 4
% Current number of rules: 34
% New rule produced :
% [37]
% composition(A,composition(B,composition(C,V_3))) <->
% composition(composition(composition(A,B),C),V_3)
% Current number of equations to process: 33
% Current number of ordered equations: 3
% Current number of rules: 35
% New rule produced :
% [38]
% composition(composition(A,composition(B,C)),V_3) <->
% composition(A,composition(B,composition(C,V_3)))
% Current number of equations to process: 33
% Current number of ordered equations: 2
% Current number of rules: 36
% New rule produced :
% [39]
% composition(composition(composition(A,B),C),V_3) <->
% composition(A,composition(composition(B,C),V_3))
% Current number of equations to process: 33
% Current number of ordered equations: 1
% Current number of rules: 37
% New rule produced :
% [40]
% composition(composition(composition(A,B),C),V_3) <->
% composition(A,composition(B,composition(C,V_3)))
% Current number of equations to process: 33
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [41]
% composition(composition(A,composition(B,C)),V_3) <->
% composition(composition(A,B),composition(C,V_3))
% Current number of equations to process: 32
% Current number of ordered equations: 1
% Current number of rules: 39
% New rule produced :
% [42]
% composition(composition(A,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: 0
% Current number of rules: 40
% New rule produced :
% [43]
% composition(converse(A),complement(A)) join complement(one) ->
% complement(one)
% Current number of equations to process: 40
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [44]
% zero join composition(converse(A),complement(composition(A,top))) -> zero
% Current number of equations to process: 47
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [45] zero join complement(complement(A) join complement(A)) -> A
% Current number of equations to process: 75
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [46] top join complement(complement(A) join B) -> top join complement(B)
% Rule [32] top join complement(complement(A join B) join B) -> top join A
% collapsed.
% Current number of equations to process: 74
% Current number of ordered equations: 1
% Current number of rules: 43
% New rule produced : [47] top join A <-> top join complement(B)
% Rule [16] top join complement(complement(A)) -> top join A collapsed.
% Rule
% [26] top join composition(converse(A),complement(composition(A,B))) -> top
% collapsed.
% Rule [27] top join complement(A join B) join B -> top join complement(A)
% collapsed.
% Rule [46] top join complement(complement(A) join B) -> top join complement(B)
% collapsed.
% Current number of equations to process: 75
% Current number of ordered equations: 2
% Current number of rules: 40
% Rule [47] top join A <-> top join complement(B) is composed into [47]
% top join A
% -> top
% New rule produced : [48] top join complement(B) -> top
% Current number of equations to process: 74
% Current number of ordered equations: 1
% Current number of rules: 41
% New rule produced :
% [49] zero join complement(complement(complement(A)) join A) -> complement(A)
% Current number of equations to process: 73
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced : [50] complement(complement(A)) -> A
% Rule
% [49] zero join complement(complement(complement(A)) join A) -> complement(A)
% collapsed.
% Current number of equations to process: 72
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced : [51] zero join complement(A join A) -> complement(A)
% Rule [45] zero join complement(complement(A) join complement(A)) -> A
% collapsed.
% Current number of equations to process: 71
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [52]
% converse(composition(C,A join B)) ->
% converse(composition(C,A)) join converse(composition(C,B))
% Current number of equations to process: 69
% Current number of ordered equations: 1
% Current number of rules: 43
% New rule produced :
% [53]
% composition(converse(A),converse(B) join converse(C)) ->
% converse(composition(B,A)) join converse(composition(C,A))
% Current number of equations to process: 69
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [54]
% composition(A,complement(composition(converse(A),B))) join complement(B) ->
% complement(B)
% Current number of equations to process: 68
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [55]
% converse(complement(A join B)) join converse(A) join converse(B) ->
% converse(top)
% Current number of equations to process: 63
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced : [56] zero join complement(zero join complement(A)) -> A
% Current number of equations to process: 77
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [57] zero join complement(converse(sk1) join complement(sk2)) -> sk2
% Current number of equations to process: 84
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [58]
% zero join complement(sk2 join complement(converse(sk1))) -> converse(sk1)
% Current number of equations to process: 83
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [59]
% complement(complement(A) join B) join B <->
% complement(complement(B) join A) join A
% Current number of equations to process: 82
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [60] complement(zero join complement(A)) join complement(zero join A) -> top
% Current number of equations to process: 80
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced : [61] converse(top) join complement(converse(A)) -> top
% Current number of equations to process: 99
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [62] converse(complement(converse(A))) join A -> converse(top)
% Current number of equations to process: 98
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced : [63] converse(zero) join converse(top) -> converse(top)
% Current number of equations to process: 99
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced : [64] composition(converse(one),A) -> A
% Current number of equations to process: 108
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced : [65] converse(top) join converse(A) -> converse(top)
% Rule [63] converse(zero) join converse(top) -> converse(top) collapsed.
% Current number of equations to process: 141
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [66]
% converse(composition(converse(A),B)) <->
% composition(converse(composition(one,B)),A)
% Current number of equations to process: 145
% Current number of ordered equations: 1
% Current number of rules: 56
% New rule produced :
% [67]
% composition(converse(composition(one,B)),A) <->
% converse(composition(converse(A),B))
% Current number of equations to process: 145
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [68] composition(zero,A) join composition(top,A) -> composition(top,A)
% Current number of equations to process: 144
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [69]
% composition(A,converse(composition(B,converse(one)))) ->
% composition(A,converse(B))
% Current number of equations to process: 146
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [70]
% converse(composition(converse(composition(one,A)),B)) <->
% composition(converse(B),A)
% Current number of equations to process: 145
% Current number of ordered equations: 1
% Current number of rules: 60
% New rule produced :
% [71]
% composition(converse(B),A) <->
% converse(composition(converse(composition(one,A)),B))
% Current number of equations to process: 145
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [72]
% composition(A,composition(composition(one,B),C)) ->
% composition(A,composition(B,C))
% Current number of equations to process: 144
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [73]
% converse(composition(A,composition(B,converse(C)))) <->
% composition(C,converse(composition(A,B)))
% Current number of equations to process: 141
% Current number of ordered equations: 1
% Current number of rules: 63
% New rule produced :
% [74]
% composition(C,converse(composition(A,B))) <->
% converse(composition(A,composition(B,converse(C))))
% Current number of equations to process: 141
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [75]
% converse(composition(composition(converse(A),B),C)) <->
% composition(converse(composition(B,C)),A)
% Current number of equations to process: 140
% Current number of ordered equations: 1
% Current number of rules: 65
% New rule produced :
% [76]
% composition(converse(composition(B,C)),A) <->
% converse(composition(composition(converse(A),B),C))
% Current number of equations to process: 140
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [77]
% composition(A,converse(composition(B,converse(C)))) <->
% composition(composition(A,C),converse(B))
% Current number of equations to process: 139
% Current number of ordered equations: 1
% Current number of rules: 67
% New rule produced :
% [78]
% composition(composition(A,C),converse(B)) <->
% composition(A,converse(composition(B,converse(C))))
% Current number of equations to process: 139
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [79]
% converse(composition(C,converse(composition(A,B)))) <->
% composition(A,composition(B,converse(C)))
% Current number of equations to process: 137
% Current number of ordered equations: 3
% Current number of rules: 69
% New rule produced :
% [80]
% composition(A,composition(B,converse(C))) <->
% converse(composition(C,converse(composition(A,B))))
% Current number of equations to process: 137
% Current number of ordered equations: 2
% Current number of rules: 70
% New rule produced :
% [81]
% composition(B,composition(converse(A),C)) <->
% composition(converse(composition(A,converse(B))),C)
% Current number of equations to process: 137
% Current number of ordered equations: 1
% Current number of rules: 71
% New rule produced :
% [82]
% composition(converse(composition(A,converse(B))),C) <->
% composition(B,composition(converse(A),C))
% Current number of equations to process: 137
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [83]
% converse(composition(converse(composition(B,C)),A)) <->
% composition(composition(converse(A),B),C)
% Current number of equations to process: 135
% Current number of ordered equations: 3
% Current number of rules: 73
% New rule produced :
% [84]
% composition(A,converse(composition(converse(B),C))) <->
% composition(composition(A,converse(C)),B)
% Current number of equations to process: 135
% Current number of ordered equations: 2
% Current number of rules: 74
% New rule produced :
% [85]
% composition(composition(converse(A),B),C) <->
% converse(composition(converse(composition(B,C)),A))
% Current number of equations to process: 135
% Current number of ordered equations: 1
% Current number of rules: 75
% New rule produced :
% [86]
% composition(composition(A,converse(C)),B) <->
% composition(A,converse(composition(converse(B),C)))
% Current number of equations to process: 135
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [87]
% composition(converse(B),composition(A,C)) <->
% composition(converse(composition(converse(A),B)),C)
% Current number of equations to process: 134
% Current number of ordered equations: 1
% Current number of rules: 77
% New rule produced :
% [88]
% composition(converse(composition(converse(A),B)),C) <->
% composition(converse(B),composition(A,C))
% Current number of equations to process: 134
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [89] composition(top,A) join complement(composition(B,A)) -> top
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [90] converse(top) join complement(converse(A) join B) join B -> top
% Current number of equations to process: 167
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [91]
% converse(composition(C,composition(B,converse(A)))) <->
% composition(composition(A,converse(B)),converse(C))
% Current number of equations to process: 165
% Current number of ordered equations: 3
% Current number of rules: 81
% New rule produced :
% [92]
% converse(composition(composition(C,converse(B)),A)) <->
% composition(converse(A),composition(B,converse(C)))
% Current number of equations to process: 165
% Current number of ordered equations: 2
% Current number of rules: 82
% New rule produced :
% [93]
% composition(converse(A),composition(B,converse(C))) <->
% converse(composition(composition(C,converse(B)),A))
% Current number of equations to process: 165
% Current number of ordered equations: 1
% Current number of rules: 83
% New rule produced :
% [94]
% composition(composition(A,converse(B)),converse(C)) <->
% converse(composition(C,composition(B,converse(A))))
% Current number of equations to process: 165
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [95]
% converse(composition(C,composition(converse(B),A))) <->
% composition(composition(converse(A),B),converse(C))
% Current number of equations to process: 162
% Current number of ordered equations: 3
% Current number of rules: 85
% New rule produced :
% [96]
% converse(composition(composition(converse(C),B),A)) <->
% composition(converse(A),composition(converse(B),C))
% Current number of equations to process: 162
% Current number of ordered equations: 2
% Current number of rules: 86
% New rule produced :
% [97]
% composition(converse(A),composition(converse(B),C)) <->
% converse(composition(composition(converse(C),B),A))
% Current number of equations to process: 162
% Current number of ordered equations: 1
% Current number of rules: 87
% New rule produced :
% [98]
% composition(composition(converse(A),B),converse(C)) <->
% converse(composition(C,composition(converse(B),A)))
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [99]
% composition(composition(A,converse(one)),converse(B)) ->
% composition(A,converse(B))
% Current number of equations to process: 169
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [100]
% converse(composition(composition(C,converse(B)),converse(A))) <->
% composition(A,composition(B,converse(C)))
% Current number of equations to process: 172
% Current number of ordered equations: 1
% Current number of rules: 90
% New rule produced :
% [101]
% composition(A,composition(B,converse(C))) <->
% converse(composition(composition(C,converse(B)),converse(A)))
% Current number of equations to process: 172
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [102]
% converse(composition(composition(converse(C),B),converse(A))) <->
% composition(A,composition(converse(B),C))
% Current number of equations to process: 171
% Current number of ordered equations: 1
% Current number of rules: 92
% New rule produced :
% [103]
% composition(A,composition(converse(B),C)) <->
% converse(composition(composition(converse(C),B),converse(A)))
% Current number of equations to process: 171
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [104]
% converse(composition(converse(C),composition(B,converse(A)))) <->
% composition(composition(A,converse(B)),C)
% Current number of equations to process: 170
% Current number of ordered equations: 1
% Current number of rules: 94
% New rule produced :
% [105]
% composition(composition(A,converse(B)),C) <->
% converse(composition(converse(C),composition(B,converse(A))))
% Current number of equations to process: 170
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [106]
% converse(composition(converse(C),composition(converse(B),A))) <->
% composition(composition(converse(A),B),C)
% Current number of equations to process: 169
% Current number of ordered equations: 1
% Current number of rules: 96
% New rule produced :
% [107]
% composition(composition(converse(A),B),C) <->
% converse(composition(converse(C),composition(converse(B),A)))
% Current number of equations to process: 169
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [108]
% converse(composition(composition(A,B),converse(C))) <->
% composition(composition(C,converse(B)),converse(A))
% Current number of equations to process: 184
% Current number of ordered equations: 1
% Current number of rules: 98
% New rule produced :
% [109]
% composition(composition(C,converse(B)),converse(A)) <->
% converse(composition(composition(A,B),converse(C)))
% Current number of equations to process: 184
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [110]
% converse(composition(composition(A,converse(B)),converse(C))) <->
% composition(composition(C,B),converse(A))
% Current number of equations to process: 183
% Current number of ordered equations: 1
% Current number of rules: 100
% New rule produced :
% [111]
% composition(composition(C,B),converse(A)) <->
% converse(composition(composition(A,converse(B)),converse(C)))
% Current number of equations to process: 183
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [112]
% converse(composition(A,converse(composition(B,C)))) <->
% composition(B,converse(composition(A,converse(C))))
% Current number of equations to process: 199
% Current number of ordered equations: 1
% Current number of rules: 102
% New rule produced :
% [113]
% composition(B,converse(composition(A,converse(C)))) <->
% converse(composition(A,converse(composition(B,C))))
% Current number of equations to process: 199
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [114]
% converse(composition(A,converse(composition(B,converse(C))))) <->
% composition(B,converse(composition(A,C)))
% Current number of equations to process: 198
% Current number of ordered equations: 1
% Current number of rules: 104
% New rule produced :
% [115]
% composition(B,converse(composition(A,C))) <->
% converse(composition(A,converse(composition(B,converse(C)))))
% Current number of equations to process: 198
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [116]
% converse(composition(converse(composition(A,B)),C)) <->
% composition(converse(composition(converse(A),C)),B)
% Current number of equations to process: 213
% Current number of ordered equations: 1
% Current number of rules: 106
% New rule produced :
% [117]
% composition(converse(composition(converse(A),C)),B) <->
% converse(composition(converse(composition(A,B)),C))
% Current number of equations to process: 213
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [118]
% converse(composition(converse(composition(converse(A),B)),C)) <->
% composition(converse(composition(A,C)),B)
% Current number of equations to process: 212
% Current number of ordered equations: 1
% Current number of rules: 108
% New rule produced :
% [119]
% composition(converse(composition(A,C)),B) <->
% converse(composition(converse(composition(converse(A),B)),C))
% Current number of equations to process: 212
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [120]
% converse(composition(converse(A),composition(B,C))) <->
% composition(converse(C),composition(converse(B),A))
% Current number of equations to process: 232
% Current number of ordered equations: 1
% Current number of rules: 110
% New rule produced :
% [121]
% composition(converse(C),composition(converse(B),A)) <->
% converse(composition(converse(A),composition(B,C)))
% Current number of equations to process: 232
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [122]
% converse(composition(converse(A),composition(converse(B),C))) <->
% composition(converse(C),composition(B,A))
% Current number of equations to process: 233
% Current number of ordered equations: 1
% Current number of rules: 112
% New rule produced :
% [123]
% composition(converse(C),composition(B,A)) <->
% converse(composition(converse(A),composition(converse(B),C)))
% Current number of equations to process: 233
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [124]
% composition(A,complement(converse(A))) join complement(one) ->
% complement(one)
% Current number of equations to process: 754
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [125]
% converse(composition(converse(zero),top)) join complement(one) ->
% complement(one)
% Current number of equations to process: 753
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [126]
% complement(one) join complement(composition(converse(A),complement(A))) ->
% top
% Current number of equations to process: 755
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced : [127] zero join one -> one
% Current number of equations to process: 758
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [128]
% zero join composition(A,complement(composition(converse(A),top))) -> zero
% Current number of equations to process: 778
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [129]
% zero join complement(composition(converse(A),complement(composition(A,top))))
% -> top
% Current number of equations to process: 777
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [130] composition(top,A) join composition(B,A) -> composition(top,A)
% Rule [68] composition(zero,A) join composition(top,A) -> composition(top,A)
% collapsed.
% Current number of equations to process: 786
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced : [131] complement(zero) -> top
% Current number of equations to process: 788
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [132] complement(sk2) join complement(converse(sk1)) -> top
% Rule [12] complement(complement(sk2) join complement(converse(sk1))) -> zero
% collapsed.
% Rule [24] zero join complement(sk2) join complement(converse(sk1)) -> top
% collapsed.
% Current number of equations to process: 788
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [133] complement(complement(A join A) join A) -> zero join zero
% Current number of equations to process: 813
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [134] complement(zero join A) join complement(B) join A -> top
% Current number of equations to process: 814
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [135]
% converse(zero) join converse(complement(A join A)) -> converse(complement(A))
% Current number of equations to process: 813
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced : [136] A join A <-> zero join A
% Current number of equations to process: 818
% Current number of ordered equations: 1
% Current number of rules: 123
% New rule produced : [137] zero join A <-> A join A
% Current number of equations to process: 818
% Current number of ordered equations: 0
% Current number of rules: 124
% Rule [133] complement(complement(A join A) join A) -> zero join zero is composed into
% [133] complement(complement(A join A) join A) -> zero
% New rule produced : [138] zero join zero -> zero
% Current number of equations to process: 818
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [139]
% converse(composition(converse(A),complement(A))) join complement(one) ->
% complement(one)
% Current number of equations to process: 816
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [140]
% composition(converse(A),complement(composition(A,complement(B)))) join B -> B
% Current number of equations to process: 815
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [141]
% complement(B join B) join complement(A) <->
% complement(A join A) join complement(B)
% Current number of equations to process: 814
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [142] complement(complement(A join A) join A join B) -> zero
% Current number of equations to process: 813
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [143] composition(A,B join C) -> composition(A,B) join composition(A,C)
% Rule
% [52]
% converse(composition(C,A join B)) ->
% converse(composition(C,A)) join converse(composition(C,B)) collapsed.
% Rule
% [53]
% composition(converse(A),converse(B) join converse(C)) ->
% converse(composition(B,A)) join converse(composition(C,A)) collapsed.
% Current number of equations to process: 832
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [144]
% 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
% [60] complement(zero join complement(A)) join complement(zero join A) -> top
% collapsed.
% Current number of equations to process: 849
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [145]
% composition(A,complement(composition(converse(A),complement(B)))) join B -> B
% Current number of equations to process: 876
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [146] converse(top) join complement(converse(A) join converse(B)) -> top
% Current number of equations to process: 885
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [147]
% composition(converse(B),complement(composition(B,top))) join complement(A) ->
% complement(A)
% Current number of equations to process: 891
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced : [148] zero join converse(top) -> converse(top)
% Current number of equations to process: 896
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [149]
% converse(composition(converse(A),complement(A))) join converse(complement(one))
% -> converse(complement(one))
% Current number of equations to process: 897
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [150]
% complement(composition(A,complement(composition(converse(A),B)))) join
% complement(B) -> top
% Current number of equations to process: 894
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [151]
% complement(converse(complement(A join A)) join converse(A)) ->
% zero join complement(converse(top))
% Current number of equations to process: 892
% Current number of ordered equations: 0
% Current number of rules: 134
% Rule [151]
% complement(converse(complement(A join A)) join converse(A)) ->
% zero join complement(converse(top)) is composed into [151]
% complement(
% converse(complement(
% A join A)) join
% converse(A)) ->
% zero join complement(top)
% Rule [62] converse(complement(converse(A))) join A -> converse(top) is composed into
% [62] converse(complement(converse(A))) join A -> top
% Rule [55]
% converse(complement(A join B)) join converse(A) join converse(B) ->
% converse(top) is composed into [55]
% converse(complement(A join B)) join
% converse(A) join converse(B) -> top
% Rule [17] converse(complement(A)) join converse(A) -> converse(top) is composed into
% [17] converse(complement(A)) join converse(A) -> top
% New rule produced : [152] converse(top) -> top
% Rule [61] converse(top) join complement(converse(A)) -> top collapsed.
% Rule [65] converse(top) join converse(A) -> converse(top) collapsed.
% Rule [90] converse(top) join complement(converse(A) join B) join B -> top
% collapsed.
% Rule [146] converse(top) join complement(converse(A) join converse(B)) -> top
% collapsed.
% Rule [148] zero join converse(top) -> converse(top) collapsed.
% Current number of equations to process: 893
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced : [153] complement(zero join A) join A join B -> top
% Rule [134] complement(zero join A) join complement(B) join A -> top
% collapsed.
% Current number of equations to process: 897
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced : [154] zero join complement(zero join A) -> complement(A)
% Rule [56] zero join complement(zero join complement(A)) -> A collapsed.
% Current number of equations to process: 904
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [155] composition(converse(B),complement(composition(B,top))) join A -> A
% Rule
% [44]
% zero join composition(converse(A),complement(composition(A,top))) -> zero
% collapsed.
% Rule
% [147]
% composition(converse(B),complement(composition(B,top))) join complement(A) ->
% complement(A) collapsed.
% Current number of equations to process: 913
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [156]
% converse(zero) join converse(complement(zero join complement(A))) ->
% converse(A)
% Current number of equations to process: 913
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced : [157] complement(zero join A) join A -> top
% Rule [153] complement(zero join A) join A join B -> top collapsed.
% Current number of equations to process: 926
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [158]
% converse(zero) join converse(complement(sk2 join complement(converse(sk1))))
% -> sk1
% Current number of equations to process: 958
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced : [159] zero join A join A -> zero join A
% Current number of equations to process: 1015
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [160]
% complement(zero join complement(A)) join complement(B) ->
% complement(B) join A
% Current number of equations to process: 1013
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [161]
% converse(zero) join converse(complement(converse(sk1) join complement(sk2)))
% -> converse(sk2)
% Current number of equations to process: 1020
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [162] sk2 join complement(zero join complement(A)) -> sk2 join A
% Current number of equations to process: 1049
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [163]
% zero join converse(sk1) join complement(sk2) -> zero join complement(sk2)
% Current number of equations to process: 1048
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [164]
% sk2 join sk2 join complement(converse(sk1)) ->
% zero join complement(converse(sk1))
% Current number of equations to process: 1059
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [165]
% converse(sk1) join complement(zero join complement(A)) ->
% converse(sk1) join A
% Current number of equations to process: 1058
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [166] converse(complement(converse(zero))) join complement(A) -> top
% Current number of equations to process: 1119
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [167] sk2 join converse(complement(converse(zero))) -> top
% Current number of equations to process: 1124
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [168] converse(sk1) join converse(complement(converse(zero))) -> top
% Current number of equations to process: 1127
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced : [169] converse(one) -> one
% Rule [64] composition(converse(one),A) -> A collapsed.
% Rule
% [69]
% composition(A,converse(composition(B,converse(one)))) ->
% composition(A,converse(B)) collapsed.
% Rule
% [99]
% composition(composition(A,converse(one)),converse(B)) ->
% composition(A,converse(B)) collapsed.
% Current number of equations to process: 1137
% Current number of ordered equations: 0
% Current number of rules: 139
% Rule [71]
% composition(converse(B),A) <->
% converse(composition(converse(composition(one,A)),B)) is composed into
% [71] composition(converse(B),A) <-> converse(composition(converse(A),B))
% Rule [66]
% converse(composition(converse(A),B)) <->
% composition(converse(composition(one,B)),A) is composed into [66]
% converse(
% composition(
% converse(A),B))
% <->
% composition(
% converse(B),A)
% New rule produced : [170] composition(one,A) -> A
% Rule [22] composition(A,composition(one,B)) -> composition(A,B) collapsed.
% Rule
% [67]
% composition(converse(composition(one,B)),A) <->
% converse(composition(converse(A),B)) collapsed.
% Rule
% [70]
% converse(composition(converse(composition(one,A)),B)) <->
% composition(converse(B),A) collapsed.
% Rule
% [72]
% composition(A,composition(composition(one,B),C)) ->
% composition(A,composition(B,C)) collapsed.
% Current number of equations to process: 1136
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [171]
% converse(complement(converse(composition(A,B)))) join composition(top,B) ->
% top
% Current number of equations to process: 1220
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [172]
% converse(complement(converse(complement(A join A)))) join complement(A) ->
% top
% Current number of equations to process: 1219
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [173]
% composition(B,converse(composition(converse(C),A))) <->
% composition(converse(composition(A,converse(B))),C)
% Current number of equations to process: 1218
% Current number of ordered equations: 1
% Current number of rules: 139
% New rule produced :
% [174]
% composition(converse(composition(A,converse(B))),C) <->
% composition(B,converse(composition(converse(C),A)))
% Current number of equations to process: 1218
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [175]
% converse(composition(composition(A,converse(B)),C)) <->
% composition(composition(converse(C),B),converse(A))
% Current number of equations to process: 1431
% Current number of ordered equations: 1
% Current number of rules: 141
% New rule produced :
% [176]
% composition(composition(converse(C),B),converse(A)) <->
% converse(composition(composition(A,converse(B)),C))
% Current number of equations to process: 1431
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [177]
% converse(composition(A,composition(converse(B),C))) <->
% composition(converse(C),composition(B,converse(A)))
% Current number of equations to process: 1544
% Current number of ordered equations: 1
% Current number of rules: 143
% New rule produced :
% [178]
% composition(converse(C),composition(B,converse(A))) <->
% converse(composition(A,composition(converse(B),C)))
% Current number of equations to process: 1544
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [179]
% converse(composition(top,A)) join converse(complement(composition(B,A))) ->
% top
% Current number of equations to process: 2286
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [180]
% composition(top,converse(A)) join complement(converse(composition(A,B))) ->
% top
% Current number of equations to process: 2285
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [181]
% composition(top,A) join complement(composition(B,composition(C,A))) -> top
% Current number of equations to process: 2284
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [182]
% converse(composition(A,top)) join complement(composition(B,converse(A))) ->
% top
% Current number of equations to process: 2283
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [183]
% composition(top,A) join complement(converse(composition(converse(A),B))) ->
% top
% Current number of equations to process: 2282
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [184]
% converse(composition(converse(C),composition(B,converse(A)))) <->
% composition(A,composition(converse(B),C))
% Current number of equations to process: 2314
% Current number of ordered equations: 1
% Current number of rules: 150
% New rule produced :
% [185]
% composition(A,composition(converse(B),C)) <->
% converse(composition(converse(C),composition(B,converse(A))))
% Current number of equations to process: 2314
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [186]
% converse(composition(composition(converse(C),B),converse(A))) <->
% composition(composition(A,converse(B)),C)
% Current number of equations to process: 2313
% Current number of ordered equations: 1
% Current number of rules: 152
% New rule produced :
% [187]
% composition(composition(A,converse(B)),C) <->
% converse(composition(composition(converse(C),B),converse(A)))
% Current number of equations to process: 2313
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [188]
% complement(one) join complement(composition(A,complement(converse(A)))) ->
% top
% Current number of equations to process: 2054
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [189]
% complement(one) join complement(converse(composition(converse(zero),top))) ->
% top
% Current number of equations to process: 2128
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [190]
% converse(complement(one)) join composition(converse(zero),top) ->
% converse(complement(one))
% Current number of equations to process: 2127
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [191] composition(top,zero) join complement(one) -> complement(one)
% Current number of equations to process: 2130
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [192]
% converse(complement(composition(converse(zero),top))) join complement(one) ->
% top
% Current number of equations to process: 2129
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [193] complement(one) join complement(composition(top,zero)) -> top
% Current number of equations to process: 2144
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [194]
% complement(one) join complement(converse(composition(converse(A),complement(A))))
% -> top
% Current number of equations to process: 2151
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced : [195] one join converse(zero) -> one
% Current number of equations to process: 2215
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced : [196] composition(zero,A) join A -> A
% Current number of equations to process: 2217
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced : [197] one join converse(complement(one)) -> top
% Current number of equations to process: 2220
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [198] one join converse(complement(converse(zero))) -> top
% Current number of equations to process: 2233
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [199] one join complement(A join A) -> one join complement(A)
% Current number of equations to process: 2231
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [200] one join complement(zero join complement(A)) -> one join A
% Current number of equations to process: 2230
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [201] one join complement(converse(sk1) join complement(sk2)) -> sk2 join one
% Current number of equations to process: 2227
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [202]
% one join complement(sk2 join complement(converse(sk1))) ->
% one join converse(sk1)
% Current number of equations to process: 2240
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [203]
% zero join composition(A,complement(converse(composition(top,A)))) -> zero
% Current number of equations to process: 2247
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [204]
% zero join complement(composition(A,complement(composition(converse(A),top))))
% -> top
% Current number of equations to process: 2248
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [205] sk2 join composition(A,complement(composition(converse(A),top))) -> sk2
% Current number of equations to process: 2251
% Current number of ordered equations: 0
% Current number of rules: 171
% Rule [164]
% sk2 join sk2 join complement(converse(sk1)) ->
% zero join complement(converse(sk1)) is composed into [164]
% sk2 join sk2 join
% complement(
% converse(sk1)) ->
% complement(
% converse(sk1))
% Rule [151]
% complement(converse(complement(A join A)) join converse(A)) ->
% zero join complement(top) is composed into [151]
% complement(converse(complement(
% A join A)) join
% converse(A)) ->
% complement(top)
% Rule [136] A join A <-> zero join A is composed into [136] A join A -> A
% New rule produced : [206] zero join A -> A
% Rule [23] zero join top -> top collapsed.
% Rule [51] zero join complement(A join A) -> complement(A) collapsed.
% Rule [57] zero join complement(converse(sk1) join complement(sk2)) -> sk2
% collapsed.
% Rule
% [58]
% zero join complement(sk2 join complement(converse(sk1))) -> converse(sk1)
% collapsed.
% Rule [127] zero join one -> one collapsed.
% Rule
% [128]
% zero join composition(A,complement(composition(converse(A),top))) -> zero
% collapsed.
% Rule
% [129]
% zero join complement(composition(converse(A),complement(composition(A,top))))
% -> top collapsed.
% Rule [137] zero join A <-> A join A collapsed.
% Rule [138] zero join zero -> zero collapsed.
% Rule [154] zero join complement(zero join A) -> complement(A) collapsed.
% Rule
% [156]
% converse(zero) join converse(complement(zero join complement(A))) ->
% converse(A) collapsed.
% Rule [157] complement(zero join A) join A -> top collapsed.
% Rule [159] zero join A join A -> zero join A collapsed.
% Rule
% [160]
% complement(zero join complement(A)) join complement(B) ->
% complement(B) join A collapsed.
% Rule [162] sk2 join complement(zero join complement(A)) -> sk2 join A
% collapsed.
% Rule
% [163]
% zero join converse(sk1) join complement(sk2) -> zero join complement(sk2)
% collapsed.
% Rule
% [165]
% converse(sk1) join complement(zero join complement(A)) ->
% converse(sk1) join A collapsed.
% Rule [200] one join complement(zero join complement(A)) -> one join A
% collapsed.
% Rule
% [203]
% zero join composition(A,complement(converse(composition(top,A)))) -> zero
% collapsed.
% Rule
% [204]
% zero join complement(composition(A,complement(composition(converse(A),top))))
% -> top collapsed.
% Current number of equations to process: 2266
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [207] converse(sk1) join complement(sk2) -> complement(sk2)
% Rule
% [161]
% converse(zero) join converse(complement(converse(sk1) join complement(sk2)))
% -> converse(sk2) collapsed.
% Rule
% [201] one join complement(converse(sk1) join complement(sk2)) -> sk2 join one
% collapsed.
% Current number of equations to process: 2266
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [208] complement(sk2 join complement(converse(sk1))) -> converse(sk1)
% Rule
% [158]
% converse(zero) join converse(complement(sk2 join complement(converse(sk1))))
% -> sk1 collapsed.
% Rule
% [202]
% one join complement(sk2 join complement(converse(sk1))) ->
% one join converse(sk1) collapsed.
% Current number of equations to process: 2264
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced : [209] sk1 join converse(zero) -> sk1
% Current number of equations to process: 2263
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [210] composition(A,complement(composition(converse(A),top))) -> zero
% Rule
% [205] sk2 join composition(A,complement(composition(converse(A),top))) -> sk2
% collapsed.
% Current number of equations to process: 2262
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [211] composition(A,complement(converse(composition(top,A)))) -> zero
% Current number of equations to process: 2261
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced : [212] converse(zero) join converse(A) -> converse(A)
% Rule
% [135]
% converse(zero) join converse(complement(A join A)) -> converse(complement(A))
% collapsed.
% Current number of equations to process: 2260
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [213]
% complement(composition(converse(A),complement(composition(A,top)))) -> top
% Current number of equations to process: 2258
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [214] composition(converse(zero),top) join complement(one) -> complement(one)
% Current number of equations to process: 2356
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [215] complement(one) join complement(composition(converse(zero),top)) -> top
% Current number of equations to process: 2361
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [216]
% converse(complement(sk2)) join converse(complement(converse(sk1))) -> top
% Current number of equations to process: 2360
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [217]
% sk2 join complement(sk2 join converse(sk1)) -> complement(converse(sk1))
% Current number of equations to process: 2371
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [218]
% converse(sk1) join complement(sk2 join converse(sk1)) -> complement(sk2)
% Current number of equations to process: 2370
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [219] converse(composition(top,zero)) join complement(one) -> complement(one)
% Current number of equations to process: 2386
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [220]
% converse(composition(A,complement(converse(A)))) join complement(one) ->
% complement(one)
% Current number of equations to process: 2393
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [221]
% composition(top,A) join composition(B,composition(C,A)) -> composition(top,A)
% Current number of equations to process: 2398
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [222]
% converse(composition(converse(A),B)) join composition(top,A) ->
% composition(top,A)
% Current number of equations to process: 2397
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [223] complement(converse(sk1) join A) join complement(sk2) join A -> top
% Current number of equations to process: 2394
% Current number of ordered equations: 1
% Current number of rules: 163
% New rule produced :
% [224] complement(sk2 join A) join complement(converse(sk1)) join A -> top
% Current number of equations to process: 2394
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [225]
% converse(complement(one)) join composition(converse(A),complement(A)) ->
% converse(complement(one))
% Current number of equations to process: 2393
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [226]
% converse(complement(composition(converse(A),complement(A)))) join complement(one)
% -> top
% Current number of equations to process: 2392
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [227]
% converse(composition(top,A)) join converse(composition(B,A)) ->
% converse(composition(top,A))
% Current number of equations to process: 2504
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [228]
% converse(composition(A,B)) join composition(top,converse(A)) ->
% composition(top,converse(A))
% Current number of equations to process: 2503
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [229]
% converse(composition(A,top)) join composition(B,converse(A)) <->
% composition(top,converse(A))
% Current number of equations to process: 2502
% Current number of ordered equations: 1
% Current number of rules: 169
% Rule [229]
% converse(composition(A,top)) join composition(B,converse(A)) <->
% composition(top,converse(A)) is composed into [229]
% converse(composition(A,top)) join
% composition(B,converse(A))
% <->
% converse(composition(A,top)) join
% composition(sk2,converse(A))
% New rule produced :
% [230]
% composition(top,converse(A)) <->
% converse(composition(A,top)) join composition(B,converse(A))
% Rule
% [180]
% composition(top,converse(A)) join complement(converse(composition(A,B))) ->
% top collapsed.
% Rule
% [228]
% converse(composition(A,B)) join composition(top,converse(A)) ->
% composition(top,converse(A)) collapsed.
% Current number of equations to process: 2504
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [231] composition(converse(A),complement(composition(A,top))) -> zero
% Rule
% [155] composition(converse(B),complement(composition(B,top))) join A -> A
% collapsed.
% Rule
% [213]
% complement(composition(converse(A),complement(composition(A,top)))) -> top
% collapsed.
% Current number of equations to process: 2597
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [232]
% composition(A,top) join composition(A,complement(B)) -> composition(A,top)
% Current number of equations to process: 2621
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [233]
% composition(A,complement(B)) join composition(A,B) -> composition(A,top)
% Current number of equations to process: 2633
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [234] composition(A,top) join composition(A,B) -> composition(A,top)
% Rule
% [232]
% composition(A,top) join composition(A,complement(B)) -> composition(A,top)
% collapsed.
% Current number of equations to process: 2667
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [235] complement(complement(A join B) join complement(B)) -> B
% Current number of equations to process: 2805
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [236] complement(complement(complement(A) join B) join A) -> complement(A)
% Current number of equations to process: 2804
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [237]
% complement(converse(A) join complement(converse(complement(A)))) ->
% complement(converse(A))
% Current number of equations to process: 2841
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [238]
% complement(converse(complement(A)) join complement(converse(A))) ->
% complement(converse(complement(A)))
% Current number of equations to process: 2840
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [239]
% complement(complement(complement(A join B) join B) join A) -> complement(A)
% Current number of equations to process: 2863
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced : [240] complement(A join B) join B -> complement(A) join B
% Rule
% [59]
% complement(complement(A) join B) join B <->
% complement(complement(B) join A) join A collapsed.
% Rule [133] complement(complement(A join A) join A) -> zero collapsed.
% Rule [142] complement(complement(A join A) join A join B) -> zero collapsed.
% Rule
% [217]
% sk2 join complement(sk2 join converse(sk1)) -> complement(converse(sk1))
% collapsed.
% Rule
% [218]
% converse(sk1) join complement(sk2 join converse(sk1)) -> complement(sk2)
% collapsed.
% Rule
% [223] complement(converse(sk1) join A) join complement(sk2) join A -> top
% collapsed.
% Rule
% [224] complement(sk2 join A) join complement(converse(sk1)) join A -> top
% collapsed.
% Rule
% [239]
% complement(complement(complement(A join B) join B) join A) -> complement(A)
% collapsed.
% Current number of equations to process: 2975
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [241] sk2 join complement(converse(sk1)) -> complement(converse(sk1))
% Rule
% [164]
% sk2 join sk2 join complement(converse(sk1)) -> complement(converse(sk1))
% collapsed.
% Rule [208] complement(sk2 join complement(converse(sk1))) -> converse(sk1)
% collapsed.
% Current number of equations to process: 2974
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [242]
% complement(complement(converse(complement(converse(A)))) join A) ->
% complement(A)
% Current number of equations to process: 2994
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [243]
% complement(converse(complement(converse(A))) join complement(A)) ->
% complement(converse(complement(converse(A))))
% Current number of equations to process: 3004
% Current number of ordered equations: 1
% Current number of rules: 168
% New rule produced :
% [244]
% converse(complement(converse(complement(A join B)))) join complement(B) ->
% top
% Rule
% [172]
% converse(complement(converse(complement(A join A)))) join complement(A) ->
% top collapsed.
% Current number of equations to process: 3004
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [245] complement(A join B) join complement(A) -> complement(A)
% Rule [235] complement(complement(A join B) join complement(B)) -> B
% collapsed.
% Current number of equations to process: 3063
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [246]
% complement(complement(complement(converse(sk1)) join A) join complement(sk2))
% -> sk2
% Current number of equations to process: 3073
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [247]
% complement(converse(complement(converse(complement(A)))) join A) ->
% complement(converse(complement(converse(complement(A)))))
% Current number of equations to process: 3197
% Current number of ordered equations: 1
% Current number of rules: 170
% New rule produced :
% [248]
% complement(complement(converse(complement(converse(A))) join B) join A) ->
% complement(A)
% Current number of equations to process: 3197
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [249]
% one join complement(composition(A,complement(converse(A)))) ->
% complement(composition(A,complement(converse(A))))
% Current number of equations to process: 3196
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [250]
% one join complement(converse(composition(converse(zero),top))) ->
% complement(converse(composition(converse(zero),top)))
% Current number of equations to process: 3195
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [251]
% complement(composition(top,A)) join complement(composition(B,A)) ->
% complement(composition(B,A))
% Current number of equations to process: 3194
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [252]
% complement(complement(complement(sk2) join A) join complement(converse(sk1)))
% -> converse(sk1)
% Current number of equations to process: 3193
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [253]
% converse(composition(top,zero)) join converse(complement(one)) ->
% converse(complement(one))
% Current number of equations to process: 3342
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [254] converse(complement(converse(A) join converse(B))) join A join B -> top
% Current number of equations to process: 3353
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [255]
% composition(converse(complement(converse(B))),A) join composition(B,A) ->
% composition(top,A)
% Current number of equations to process: 3352
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [256]
% converse(complement(composition(A,converse(B)))) join composition(B,converse(A))
% -> top
% Current number of equations to process: 3351
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [257]
% converse(complement(composition(converse(A),B))) join composition(converse(B),A)
% -> top
% Current number of equations to process: 3350
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [258]
% converse(complement(converse(composition(converse(A),complement(A))))) join
% complement(one) -> top
% Current number of equations to process: 3348
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [259]
% converse(composition(A,top)) join composition(sk2,converse(A)) join complement(
% converse(
% composition(A,
% converse(B))))
% -> top
% Current number of equations to process: 3345
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [260]
% converse(composition(A,complement(converse(A)))) join converse(complement(one))
% -> converse(complement(one))
% Current number of equations to process: 3341
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [261]
% converse(complement(converse(composition(A,complement(converse(A)))))) join
% complement(one) -> top
% Current number of equations to process: 3340
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [262]
% converse(complement(one)) join converse(complement(composition(converse(A),
% complement(A)))) -> top
% Current number of equations to process: 3337
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [263]
% composition(complement(sk2),A) join composition(complement(converse(sk1)),A)
% -> composition(top,A)
% Current number of equations to process: 3331
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [264]
% complement(composition(converse(A),complement(composition(A,complement(B))))) join B
% -> top
% Current number of equations to process: 3329
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [265]
% composition(A,converse(complement(B))) join composition(A,converse(B)) ->
% composition(A,top)
% Current number of equations to process: 3328
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [266]
% composition(A,converse(complement(converse(B)))) join composition(A,B) ->
% composition(A,top)
% Current number of equations to process: 3327
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [267]
% composition(A,complement(sk2)) join composition(A,complement(converse(sk1)))
% -> composition(A,top)
% Current number of equations to process: 3326
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [268]
% complement(converse(A) join complement(converse(complement(A)) join B)) ->
% complement(converse(A))
% Current number of equations to process: 3324
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [269]
% complement(one join complement(composition(converse(A),complement(A)))) ->
% composition(converse(A),complement(A))
% Current number of equations to process: 3320
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [270]
% complement(composition(A,complement(composition(converse(A),complement(B))))) join B
% -> top
% Current number of equations to process: 3319
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [271]
% composition(A,complement(converse(composition(converse(complement(B)),A)))) join B
% -> B
% Current number of equations to process: 3318
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [272]
% converse(complement(one)) join complement(converse(composition(converse(A),
% complement(A)))) -> top
% Current number of equations to process: 3317
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [273]
% converse(composition(converse(zero),top)) join converse(complement(one)) ->
% converse(complement(one))
% Current number of equations to process: 3363
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [274]
% complement(composition(converse(A),complement(composition(A,B)))) join
% complement(B) -> top
% Current number of equations to process: 3421
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [275] composition(converse(A),top) -> converse(composition(top,A))
% Rule
% [125]
% converse(composition(converse(zero),top)) join complement(one) ->
% complement(one) collapsed.
% Rule
% [189]
% complement(one) join complement(converse(composition(converse(zero),top))) ->
% top collapsed.
% Rule
% [190]
% converse(complement(one)) join composition(converse(zero),top) ->
% converse(complement(one)) collapsed.
% Rule
% [192]
% converse(complement(composition(converse(zero),top))) join complement(one) ->
% top collapsed.
% Rule [210] composition(A,complement(composition(converse(A),top))) -> zero
% collapsed.
% Rule
% [214] composition(converse(zero),top) join complement(one) -> complement(one)
% collapsed.
% Rule
% [215] complement(one) join complement(composition(converse(zero),top)) -> top
% collapsed.
% Rule
% [250]
% one join complement(converse(composition(converse(zero),top))) ->
% complement(converse(composition(converse(zero),top))) collapsed.
% Rule
% [273]
% converse(composition(converse(zero),top)) join converse(complement(one)) ->
% converse(complement(one)) collapsed.
% Current number of equations to process: 3539
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [276] complement(one) join complement(converse(composition(top,zero))) -> top
% Current number of equations to process: 3576
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [277]
% composition(A,converse(composition(B,top))) <->
% composition(composition(A,top),converse(B))
% Current number of equations to process: 3574
% Current number of ordered equations: 2
% Current number of rules: 191
% New rule produced :
% [278]
% composition(composition(A,converse(B)),top) ->
% composition(A,converse(composition(top,B)))
% Current number of equations to process: 3574
% Current number of ordered equations: 1
% Current number of rules: 192
% New rule produced :
% [279]
% composition(composition(A,top),converse(B)) <->
% composition(A,converse(composition(B,top)))
% Current number of equations to process: 3574
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [280]
% composition(converse(A),composition(top,B)) <->
% composition(converse(composition(top,A)),B)
% Current number of equations to process: 3572
% Current number of ordered equations: 2
% Current number of rules: 194
% New rule produced :
% [281]
% composition(top,composition(converse(A),B)) ->
% composition(converse(composition(A,top)),B)
% Current number of equations to process: 3572
% Current number of ordered equations: 1
% Current number of rules: 195
% New rule produced :
% [282]
% composition(converse(composition(top,A)),B) <->
% composition(converse(A),composition(top,B))
% Current number of equations to process: 3572
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [283]
% converse(complement(converse(composition(top,zero)))) join complement(one) ->
% top
% Current number of equations to process: 3566
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [284] composition(top,complement(composition(top,complement(A)))) join A -> A
% Current number of equations to process: 3565
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced : [285] converse(complement(converse(zero))) -> top
% Rule [166] converse(complement(converse(zero))) join complement(A) -> top
% collapsed.
% Rule [167] sk2 join converse(complement(converse(zero))) -> top collapsed.
% Rule [168] converse(sk1) join converse(complement(converse(zero))) -> top
% collapsed.
% Rule [198] one join converse(complement(converse(zero))) -> top collapsed.
% Current number of equations to process: 3566
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced : [286] composition(top,A) join complement(A) -> top
% Current number of equations to process: 3570
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [287] converse(complement(one)) join complement(one) -> complement(one)
% Current number of equations to process: 3569
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced : [288] composition(top,A) join A -> composition(top,A)
% Current number of equations to process: 3572
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [289] composition(complement(one),A) join A -> composition(top,A)
% Current number of equations to process: 3571
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [290]
% composition(top,complement(composition(top,A))) join complement(A) ->
% complement(A)
% Current number of equations to process: 3568
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [291]
% converse(composition(composition(B,top),converse(A))) <->
% composition(composition(A,top),converse(B))
% Current number of equations to process: 3563
% Current number of ordered equations: 1
% Current number of rules: 201
% New rule produced :
% [292]
% composition(composition(A,top),converse(B)) <->
% converse(composition(composition(B,top),converse(A)))
% Current number of equations to process: 3563
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [293]
% converse(composition(B,converse(composition(A,top)))) <->
% composition(A,converse(composition(B,top)))
% Current number of equations to process: 3561
% Current number of ordered equations: 1
% Current number of rules: 203
% New rule produced :
% [294]
% composition(A,converse(composition(B,top))) <->
% converse(composition(B,converse(composition(A,top))))
% Current number of equations to process: 3561
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [295]
% converse(composition(converse(composition(top,B)),A)) <->
% composition(converse(composition(top,A)),B)
% Current number of equations to process: 3559
% Current number of ordered equations: 1
% Current number of rules: 205
% New rule produced :
% [296]
% composition(converse(composition(top,A)),B) <->
% converse(composition(converse(composition(top,B)),A))
% Current number of equations to process: 3559
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [297]
% converse(composition(converse(B),composition(top,A))) <->
% composition(converse(A),composition(top,B))
% Current number of equations to process: 3556
% Current number of ordered equations: 1
% Current number of rules: 207
% New rule produced :
% [298]
% composition(converse(A),composition(top,B)) <->
% converse(composition(converse(B),composition(top,A)))
% Current number of equations to process: 3556
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [299]
% converse(complement(one)) join composition(top,zero) ->
% converse(complement(one))
% Current number of equations to process: 3557
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [300]
% converse(composition(sk2,converse(A))) join composition(A,top) ->
% composition(A,top)
% Current number of equations to process: 3556
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [301]
% complement(composition(top,complement(composition(top,A)))) join complement(A)
% -> top
% Current number of equations to process: 3554
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [302] one join converse(complement(one join A)) join converse(A) -> top
% Current number of equations to process: 3553
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [303]
% converse(complement(composition(converse(A),B))) join composition(top,A) ->
% top
% Current number of equations to process: 3551
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [304]
% one join complement(composition(top,zero)) ->
% complement(composition(top,zero))
% Current number of equations to process: 3550
% Current number of ordered equations: 0
% Current number of rules: 214
% Rule [229]
% converse(composition(A,top)) join composition(B,converse(A)) <->
% converse(composition(A,top)) join composition(sk2,converse(A)) is composed into
% [229]
% converse(composition(A,top)) join composition(B,converse(A)) ->
% converse(composition(A,top))
% New rule produced :
% [305]
% converse(composition(A,top)) join composition(sk2,converse(A)) ->
% converse(composition(A,top))
% Rule
% [259]
% converse(composition(A,top)) join composition(sk2,converse(A)) join complement(
% converse(
% composition(A,
% converse(B))))
% -> top collapsed.
% Current number of equations to process: 3550
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [306]
% converse(composition(top,A)) join complement(converse(composition(B,A))) ->
% top
% Current number of equations to process: 3591
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [307]
% converse(composition(A,top)) join converse(complement(composition(A,B))) ->
% top
% Current number of equations to process: 3590
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [308] converse(complement(converse(A))) join composition(top,A) -> top
% Current number of equations to process: 3652
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [309]
% converse(complement(converse(composition(A,B)))) join composition(A,top) ->
% top
% Current number of equations to process: 4620
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [310]
% converse(complement(composition(A,converse(B)))) join composition(B,top) ->
% top
% Current number of equations to process: 4619
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [311] converse(composition(top,A)) join converse(complement(A)) -> top
% Current number of equations to process: 4681
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [312]
% converse(composition(top,top)) join complement(composition(A,top)) -> top
% Current number of equations to process: 4842
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced :
% [313]
% converse(composition(A,top)) join complement(converse(composition(A,B))) ->
% top
% Current number of equations to process: 4843
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced :
% [314] converse(composition(A,top)) join complement(converse(A)) -> top
% Current number of equations to process: 4913
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced :
% [315]
% composition(top,top) join complement(converse(composition(top,A))) -> top
% Current number of equations to process: 4916
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [316] complement(one) join complement(composition(A,zero)) -> top
% Rule [193] complement(one) join complement(composition(top,zero)) -> top
% collapsed.
% Current number of equations to process: 1452
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [317] composition(A,zero) join complement(one) -> complement(one)
% Rule [191] composition(top,zero) join complement(one) -> complement(one)
% collapsed.
% Current number of equations to process: 1456
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [318]
% complement(one) join complement(converse(composition(A,complement(converse(A)))))
% -> top
% Current number of equations to process: 1471
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced :
% [319] complement(one) join complement(converse(complement(one))) -> top
% Current number of equations to process: 1531
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced : [320] one join complement(converse(zero)) -> top
% Current number of equations to process: 1540
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced : [321] composition(converse(zero),A) join A -> A
% Current number of equations to process: 1541
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced : [322] composition(A,converse(zero)) join A -> A
% Current number of equations to process: 1547
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced :
% [323]
% complement(one) join complement(converse(zero)) -> complement(converse(zero))
% Current number of equations to process: 1562
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced :
% [324] converse(complement(converse(composition(zero,A)))) join A -> top
% Current number of equations to process: 1563
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced : [325] complement(composition(zero,A)) join A -> top
% Current number of equations to process: 1564
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced :
% [326] converse(composition(zero,A)) join converse(A) -> converse(A)
% Current number of equations to process: 1574
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced : [327] one join composition(zero,converse(zero)) -> one
% Current number of equations to process: 1614
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced : [328] composition(zero,composition(zero,A)) join A -> A
% Current number of equations to process: 1613
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced : [329] complement(converse(complement(one))) -> one
% Rule [319] complement(one) join complement(converse(complement(one))) -> top
% collapsed.
% Current number of equations to process: 1633
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced :
% [330] composition(converse(complement(one)),A) join A -> composition(top,A)
% Current number of equations to process: 1630
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [331] composition(A,converse(complement(one))) join A -> composition(A,top)
% Current number of equations to process: 1629
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced :
% [332]
% complement(converse(complement(one)) join A) ->
% complement(complement(one) join A)
% Current number of equations to process: 1628
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced :
% [333] converse(composition(A,converse(zero))) join converse(A) -> converse(A)
% Current number of equations to process: 1627
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced :
% [334]
% complement(composition(zero,A)) join complement(A) ->
% complement(composition(zero,A))
% Current number of equations to process: 1626
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [335]
% complement(one join A) join complement(converse(zero)) ->
% complement(converse(zero))
% Current number of equations to process: 1625
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced :
% [336]
% complement(composition(zero,complement(A))) join A ->
% complement(composition(zero,complement(A)))
% Current number of equations to process: 1624
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced : [337] composition(zero,zero) -> zero
% Current number of equations to process: 1626
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced :
% [338] composition(zero,B) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 1624
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [339] composition(A,zero) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 1623
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [340] sk1 join converse(complement(sk2)) -> converse(complement(sk2))
% Current number of equations to process: 1627
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [341] converse(complement(sk1)) join complement(sk2) -> top
% Current number of equations to process: 1631
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [342] composition(zero,converse(sk1)) join complement(sk2) -> complement(sk2)
% Current number of equations to process: 1652
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced : [343] sk1 join complement(converse(zero)) -> top
% Current number of equations to process: 1653
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced :
% [344]
% complement(sk1) join complement(converse(zero)) -> complement(converse(zero))
% Current number of equations to process: 1673
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced : [345] sk1 join composition(zero,converse(zero)) -> sk1
% Current number of equations to process: 1678
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced :
% [346]
% complement(composition(A,complement(converse(composition(top,top))))) -> top
% Current number of equations to process: 1679
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [347]
% composition(sk1,A) join composition(converse(zero),A) -> composition(sk1,A)
% Current number of equations to process: 1683
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced :
% [348]
% composition(A,sk1) join composition(A,converse(zero)) -> composition(A,sk1)
% Current number of equations to process: 1682
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [349]
% complement(sk1 join A) join complement(converse(zero)) ->
% complement(converse(zero))
% Current number of equations to process: 1681
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [350] composition(A,complement(converse(composition(top,top)))) -> zero
% Rule
% [346]
% complement(composition(A,complement(converse(composition(top,top))))) -> top
% collapsed.
% Current number of equations to process: 1708
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced : [351] complement(composition(A,zero)) -> top
% Rule
% [304]
% one join complement(composition(top,zero)) ->
% complement(composition(top,zero)) collapsed.
% Rule [316] complement(one) join complement(composition(A,zero)) -> top
% collapsed.
% Current number of equations to process: 1712
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced : [352] converse(A) join complement(converse(zero)) -> top
% Current number of equations to process: 1718
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [353]
% composition(complement(converse(composition(top,top))),complement(converse(zero)))
% -> zero
% Current number of equations to process: 1715
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [354]
% converse(composition(converse(B),A)) <->
% converse(zero) join composition(converse(A),B)
% Current number of equations to process: 1714
% Current number of ordered equations: 1
% Current number of rules: 257
% New rule produced :
% [355]
% converse(zero) join composition(converse(A),B) <->
% converse(composition(converse(B),A))
% Current number of equations to process: 1714
% Current number of ordered equations: 0
% Current number of rules: 258
% Rule [354]
% converse(composition(converse(B),A)) <->
% converse(zero) join composition(converse(A),B) is composed into
% [354] converse(composition(converse(B),A)) <-> composition(converse(A),B)
% New rule produced : [356] converse(zero) join A -> A
% Rule [195] one join converse(zero) -> one collapsed.
% Rule [209] sk1 join converse(zero) -> sk1 collapsed.
% Rule [212] converse(zero) join converse(A) -> converse(A) collapsed.
% Rule
% [355]
% converse(zero) join composition(converse(A),B) <->
% converse(composition(converse(B),A)) collapsed.
% Current number of equations to process: 1715
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [357]
% composition(zero,complement(A join B)) join complement(B) -> complement(B)
% Current number of equations to process: 1713
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [358]
% one join complement(converse(composition(top,zero))) ->
% complement(converse(composition(top,zero)))
% Current number of equations to process: 1761
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced :
% [359]
% composition(composition(zero,A),B) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 1760
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced :
% [360]
% composition(A,composition(zero,B)) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 1759
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [361]
% complement(complement(sk2) join A) join complement(converse(sk1)) ->
% complement(converse(sk1))
% Rule
% [252]
% complement(complement(complement(sk2) join A) join complement(converse(sk1)))
% -> converse(sk1) collapsed.
% Current number of equations to process: 1757
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [362]
% composition(composition(A,B),complement(converse(composition(top,B)))) ->
% composition(A,zero)
% Current number of equations to process: 1754
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced :
% [363]
% composition(B,composition(complement(converse(composition(top,B))),A)) ->
% composition(zero,A)
% Current number of equations to process: 1753
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced :
% [364]
% complement(converse(composition(converse(complement(converse(composition(top,top)))),A)))
% -> top
% Current number of equations to process: 1752
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced :
% [365]
% converse(complement(one)) join composition(A,complement(converse(A))) ->
% converse(complement(one))
% Current number of equations to process: 1834
% Current number of ordered equations: 0
% Current number of rules: 263
% New rule produced :
% [366]
% converse(complement(composition(A,complement(converse(A))))) join complement(one)
% -> top
% Current number of equations to process: 1833
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced :
% [367]
% complement(A join B) join complement(composition(zero,A)) ->
% complement(composition(zero,A))
% Current number of equations to process: 1853
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced :
% [368]
% composition(converse(sk1),A) join composition(complement(sk2),A) ->
% composition(complement(sk2),A)
% Current number of equations to process: 1848
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced :
% [369]
% composition(A,converse(sk1)) join composition(A,complement(sk2)) ->
% composition(A,complement(sk2))
% Current number of equations to process: 1847
% Current number of ordered equations: 0
% Current number of rules: 267
% Rule [362]
% composition(composition(A,B),complement(converse(composition(top,B))))
% -> composition(A,zero) is composed into [362]
% composition(composition(A,B),
% complement(converse(composition(top,B))))
% -> zero
% New rule produced : [370] composition(A,zero) -> zero
% Rule
% [219] converse(composition(top,zero)) join complement(one) -> complement(one)
% collapsed.
% Rule
% [253]
% converse(composition(top,zero)) join converse(complement(one)) ->
% converse(complement(one)) collapsed.
% Rule
% [276] complement(one) join complement(converse(composition(top,zero))) -> top
% collapsed.
% Rule
% [283]
% converse(complement(converse(composition(top,zero)))) join complement(one) ->
% top collapsed.
% Rule
% [299]
% converse(complement(one)) join composition(top,zero) ->
% converse(complement(one)) collapsed.
% Rule [317] composition(A,zero) join complement(one) -> complement(one)
% collapsed.
% Rule [337] composition(zero,zero) -> zero collapsed.
% Rule [339] composition(A,zero) join composition(A,B) -> composition(A,B)
% collapsed.
% Rule [351] complement(composition(A,zero)) -> top collapsed.
% Rule
% [358]
% one join complement(converse(composition(top,zero))) ->
% complement(converse(composition(top,zero))) collapsed.
% Current number of equations to process: 2007
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced : [371] complement(converse(zero)) -> top
% Rule [285] converse(complement(converse(zero))) -> top collapsed.
% Rule [320] one join complement(converse(zero)) -> top collapsed.
% Rule
% [323]
% complement(one) join complement(converse(zero)) -> complement(converse(zero))
% collapsed.
% Rule
% [335]
% complement(one join A) join complement(converse(zero)) ->
% complement(converse(zero)) collapsed.
% Rule [343] sk1 join complement(converse(zero)) -> top collapsed.
% Rule
% [344]
% complement(sk1) join complement(converse(zero)) -> complement(converse(zero))
% collapsed.
% Rule
% [349]
% complement(sk1 join A) join complement(converse(zero)) ->
% complement(converse(zero)) collapsed.
% Rule [352] converse(A) join complement(converse(zero)) -> top collapsed.
% Rule
% [353]
% composition(complement(converse(composition(top,top))),complement(converse(zero)))
% -> zero collapsed.
% Current number of equations to process: 2006
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [372] composition(complement(converse(composition(top,top))),top) -> zero
% Current number of equations to process: 2005
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced :
% [373]
% converse(composition(top,A)) join composition(top,top) ->
% composition(top,top)
% Current number of equations to process: 2009
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [374]
% converse(composition(converse(complement(converse(composition(top,top)))),A))
% -> zero
% Rule
% [364]
% complement(converse(composition(converse(complement(converse(composition(top,top)))),A)))
% -> top collapsed.
% Current number of equations to process: 2084
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [375]
% converse(complement(one)) join complement(composition(converse(A),complement(A)))
% -> top
% Current number of equations to process: 2092
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced :
% [376]
% converse(composition(A,top)) join converse(composition(A,B)) ->
% converse(composition(A,top))
% Current number of equations to process: 2091
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [377]
% converse(composition(top,A)) join composition(converse(A),B) ->
% converse(composition(top,A))
% Current number of equations to process: 2090
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced : [378] converse(complement(one)) -> complement(one)
% Rule
% [149]
% converse(composition(converse(A),complement(A))) join converse(complement(one))
% -> converse(complement(one)) collapsed.
% Rule [197] one join converse(complement(one)) -> top collapsed.
% Rule
% [225]
% converse(complement(one)) join composition(converse(A),complement(A)) ->
% converse(complement(one)) collapsed.
% Rule
% [260]
% converse(composition(A,complement(converse(A)))) join converse(complement(one))
% -> converse(complement(one)) collapsed.
% Rule
% [262]
% converse(complement(one)) join converse(complement(composition(converse(A),
% complement(A)))) -> top
% collapsed.
% Rule
% [272]
% converse(complement(one)) join complement(converse(composition(converse(A),
% complement(A)))) -> top
% collapsed.
% Rule [287] converse(complement(one)) join complement(one) -> complement(one)
% collapsed.
% Rule [329] complement(converse(complement(one))) -> one collapsed.
% Rule
% [330] composition(converse(complement(one)),A) join A -> composition(top,A)
% collapsed.
% Rule
% [331] composition(A,converse(complement(one))) join A -> composition(A,top)
% collapsed.
% Rule
% [332]
% complement(converse(complement(one)) join A) ->
% complement(complement(one) join A) collapsed.
% Rule
% [365]
% converse(complement(one)) join composition(A,complement(converse(A))) ->
% converse(complement(one)) collapsed.
% Rule
% [375]
% converse(complement(one)) join complement(composition(converse(A),complement(A)))
% -> top collapsed.
% Current number of equations to process: 2166
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced :
% [379] composition(A,complement(one)) join A -> composition(A,top)
% Current number of equations to process: 2164
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [380]
% one join complement(composition(converse(A),complement(A))) ->
% complement(composition(converse(A),complement(A)))
% Rule
% [269]
% complement(one join complement(composition(converse(A),complement(A)))) ->
% composition(converse(A),complement(A)) collapsed.
% Current number of equations to process: 2165
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [381]
% converse(composition(A,converse(B))) join composition(B,top) ->
% composition(B,top)
% Rule
% [300]
% converse(composition(sk2,converse(A))) join composition(A,top) ->
% composition(A,top) collapsed.
% Current number of equations to process: 2262
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [382]
% converse(composition(top,A)) join converse(A) -> converse(composition(top,A))
% Current number of equations to process: 2340
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [383]
% converse(composition(top,top)) join complement(composition(A,converse(B))) ->
% top
% Current number of equations to process: 2348
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [384]
% converse(composition(A,top)) join converse(A) -> converse(composition(A,top))
% Current number of equations to process: 2425
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [385]
% converse(composition(top,top)) join composition(A,top) ->
% converse(composition(top,top))
% Current number of equations to process: 2424
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [386]
% converse(composition(top,top)) join composition(A,converse(B)) ->
% converse(composition(top,top))
% Current number of equations to process: 2432
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced :
% [387] converse(composition(top,top)) -> composition(top,top)
% Rule
% [312]
% converse(composition(top,top)) join complement(composition(A,top)) -> top
% collapsed.
% Rule [350] composition(A,complement(converse(composition(top,top)))) -> zero
% collapsed.
% Rule
% [372] composition(complement(converse(composition(top,top))),top) -> zero
% collapsed.
% Rule
% [374]
% converse(composition(converse(complement(converse(composition(top,top)))),A))
% -> zero collapsed.
% Rule
% [383]
% converse(composition(top,top)) join complement(composition(A,converse(B))) ->
% top collapsed.
% Rule
% [385]
% converse(composition(top,top)) join composition(A,top) ->
% converse(composition(top,top)) collapsed.
% Rule
% [386]
% converse(composition(top,top)) join composition(A,converse(B)) ->
% converse(composition(top,top)) collapsed.
% Current number of equations to process: 2467
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced :
% [388] composition(A,complement(composition(top,top))) -> zero
% Current number of equations to process: 2466
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [389] composition(complement(composition(top,top)),top) -> zero
% Current number of equations to process: 2465
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [390]
% converse(composition(converse(complement(composition(top,top))),A)) -> zero
% Current number of equations to process: 2464
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [391] composition(top,top) join complement(composition(A,converse(B))) -> top
% Current number of equations to process: 2463
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [392]
% composition(top,top) join composition(A,converse(B)) -> composition(top,top)
% Current number of equations to process: 2462
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced : [393] converse(composition(converse(zero),A)) -> zero
% Current number of equations to process: 2502
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced : [394] composition(converse(zero),A) -> converse(zero)
% Rule [321] composition(converse(zero),A) join A -> A collapsed.
% Rule
% [347]
% composition(sk1,A) join composition(converse(zero),A) -> composition(sk1,A)
% collapsed.
% Rule [393] converse(composition(converse(zero),A)) -> zero collapsed.
% Current number of equations to process: 2502
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [395] composition(top,top) join complement(composition(A,B)) -> top
% Rule
% [391] composition(top,top) join complement(composition(A,converse(B))) -> top
% collapsed.
% Current number of equations to process: 2511
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [396]
% composition(composition(A,converse(B)),complement(composition(B,top))) ->
% zero
% Current number of equations to process: 2514
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [397]
% composition(converse(composition(A,B)),complement(composition(A,top))) ->
% zero
% Current number of equations to process: 2513
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced :
% [398]
% composition(converse(complement(composition(A,top))),composition(A,B)) ->
% converse(zero)
% Current number of equations to process: 2513
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [399]
% composition(converse(B),composition(complement(composition(B,top)),A)) ->
% composition(zero,A)
% Current number of equations to process: 2512
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced :
% [400] composition(A,top) join complement(composition(A,B)) -> top
% Current number of equations to process: 2529
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [401] composition(top,top) join composition(A,B) -> composition(top,top)
% Rule
% [392]
% composition(top,top) join composition(A,converse(B)) -> composition(top,top)
% collapsed.
% Current number of equations to process: 2667
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [402]
% composition(A,converse(A)) join complement(one) ->
% composition(A,top) join complement(one)
% Current number of equations to process: 2680
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced :
% [403] composition(zero,complement(A)) join A -> composition(zero,top) join A
% Current number of equations to process: 2735
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [404]
% composition(zero,top) join complement(A) <->
% composition(zero,A) join complement(A)
% Current number of equations to process: 2734
% Current number of ordered equations: 1
% Current number of rules: 255
% New rule produced :
% [405]
% composition(zero,A) join complement(A) <->
% composition(zero,top) join complement(A)
% Current number of equations to process: 2734
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [406]
% composition(converse(A),composition(A,top)) -> converse(composition(top,A))
% Current number of equations to process: 2745
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced : [407] composition(top,top) -> top
% Rule
% [315]
% composition(top,top) join complement(converse(composition(top,A))) -> top
% collapsed.
% Rule
% [373]
% converse(composition(top,A)) join composition(top,top) ->
% composition(top,top) collapsed.
% Rule [387] converse(composition(top,top)) -> composition(top,top) collapsed.
% Rule [388] composition(A,complement(composition(top,top))) -> zero collapsed.
% Rule [389] composition(complement(composition(top,top)),top) -> zero
% collapsed.
% Rule
% [390]
% converse(composition(converse(complement(composition(top,top))),A)) -> zero
% collapsed.
% Rule [395] composition(top,top) join complement(composition(A,B)) -> top
% collapsed.
% Rule [401] composition(top,top) join composition(A,B) -> composition(top,top)
% collapsed.
% Current number of equations to process: 2749
% Current number of ordered equations: 0
% Current number of rules: 250
% Rule [405]
% composition(zero,A) join complement(A) <->
% composition(zero,top) join complement(A) is composed into [405]
% composition(zero,A) join
% complement(A)
% ->
% zero join
% complement(A)
% Rule [403]
% composition(zero,complement(A)) join A -> composition(zero,top) join A is composed into
% [403] composition(zero,complement(A)) join A -> zero join A
% New rule produced : [408] composition(zero,top) -> zero
% Rule
% [404]
% composition(zero,top) join complement(A) <->
% composition(zero,A) join complement(A) collapsed.
% Current number of equations to process: 2748
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced : [409] composition(A,top) join A -> composition(A,top)
% Current number of equations to process: 2752
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced : [410] complement(complement(A) join B) join A -> A
% Rule
% [236] complement(complement(complement(A) join B) join A) -> complement(A)
% collapsed.
% Current number of equations to process: 2855
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced :
% [411]
% composition(converse(A),A) join complement(one) ->
% converse(composition(top,A)) join complement(one)
% Current number of equations to process: 2854
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [412]
% composition(zero,composition(A,B)) join composition(A,top) ->
% composition(A,top)
% Current number of equations to process: 2850
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced :
% [413]
% composition(composition(A,B),C) join composition(A,top) -> composition(A,top)
% Current number of equations to process: 2848
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [414] converse(A) join complement(converse(complement(A))) -> converse(A)
% Rule
% [237]
% complement(converse(A) join complement(converse(complement(A)))) ->
% complement(converse(A)) collapsed.
% Current number of equations to process: 2847
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [415]
% converse(complement(A)) join complement(converse(A)) ->
% converse(complement(A))
% Rule
% [238]
% complement(converse(complement(A)) join complement(converse(A))) ->
% complement(converse(complement(A))) collapsed.
% Current number of equations to process: 2847
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [416] complement(converse(complement(converse(A)))) join A -> A
% Rule
% [242]
% complement(complement(converse(complement(converse(A)))) join A) ->
% complement(A) collapsed.
% Current number of equations to process: 2894
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [417]
% converse(complement(converse(A))) join complement(A) ->
% converse(complement(converse(A)))
% Rule
% [243]
% complement(converse(complement(converse(A))) join complement(A)) ->
% complement(converse(complement(converse(A)))) collapsed.
% Current number of equations to process: 2893
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [418] complement(converse(complement(converse(A))) join B) join A -> A
% Rule
% [248]
% complement(complement(converse(complement(converse(A))) join B) join A) ->
% complement(A) collapsed.
% Current number of equations to process: 2892
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [419]
% converse(complement(converse(sk2))) join complement(converse(sk1)) -> top
% Current number of equations to process: 3189
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [420]
% composition(zero,sk2) join complement(converse(sk1)) ->
% complement(converse(sk1))
% Current number of equations to process: 3213
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [421]
% converse(sk2) join converse(complement(converse(sk1))) ->
% converse(complement(converse(sk1)))
% Current number of equations to process: 3215
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced :
% [422]
% complement(complement(converse(sk1)) join A) join complement(sk2) ->
% complement(sk2)
% Rule
% [246]
% complement(complement(complement(converse(sk1)) join A) join complement(sk2))
% -> sk2 collapsed.
% Current number of equations to process: 3214
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced :
% [423]
% converse(A) join complement(converse(complement(A)) join B) -> converse(A)
% Rule
% [268]
% complement(converse(A) join complement(converse(complement(A)) join B)) ->
% complement(converse(A)) collapsed.
% Current number of equations to process: 3213
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced :
% [424] complement(composition(zero,A) join B) join A -> complement(B) join A
% Current number of equations to process: 3211
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced :
% [425]
% converse(complement(A)) join complement(converse(A) join B) ->
% converse(complement(A))
% Current number of equations to process: 3231
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [426]
% complement(converse(sk1) join A) join complement(sk2) ->
% complement(sk2) join complement(A)
% Current number of equations to process: 3230
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced :
% [427]
% converse(complement(sk2)) join complement(converse(complement(converse(sk1))))
% -> converse(complement(sk2))
% Current number of equations to process: 3229
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced :
% [428]
% sk2 join converse(complement(converse(complement(complement(sk2) join A))))
% -> top
% Current number of equations to process: 3227
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced :
% [429]
% composition(complement(converse(A)),complement(composition(A,top))) ->
% composition(top,complement(composition(A,top)))
% Current number of equations to process: 3226
% Current number of ordered equations: 0
% Current number of rules: 263
% New rule produced :
% [430]
% complement(composition(A,top)) join complement(composition(A,B)) ->
% complement(composition(A,B))
% Current number of equations to process: 3221
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced :
% [431]
% converse(complement(converse(A))) join complement(A join B) ->
% converse(complement(converse(A)))
% Current number of equations to process: 3220
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced :
% [432]
% converse(complement(A join B)) join converse(B) ->
% converse(complement(A)) join converse(B)
% Rule
% [55] converse(complement(A join B)) join converse(A) join converse(B) -> top
% collapsed.
% Rule
% [151]
% complement(converse(complement(A join A)) join converse(A)) ->
% complement(top) collapsed.
% Rule [302] one join converse(complement(one join A)) join converse(A) -> top
% collapsed.
% Current number of equations to process: 3219
% Current number of ordered equations: 0
% Current number of rules: 263
% New rule produced :
% [433]
% one join converse(complement(converse(complement(complement(one) join A))))
% -> top
% Current number of equations to process: 3226
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced :
% [434]
% converse(complement(converse(complement(complement(A) join B)))) join A ->
% top
% Rule
% [428]
% sk2 join converse(complement(converse(complement(complement(sk2) join A))))
% -> top collapsed.
% Rule
% [433]
% one join converse(complement(converse(complement(complement(one) join A))))
% -> top collapsed.
% Current number of equations to process: 3259
% Current number of ordered equations: 0
% Current number of rules: 263
% New rule produced :
% [435]
% converse(complement(A)) join complement(converse(complement(A join B))) ->
% top
% Current number of equations to process: 3258
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced :
% [436]
% converse(complement(converse(complement(A)))) join complement(composition(zero,A))
% -> top
% Current number of equations to process: 3354
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced :
% [437]
% converse(complement(A join B)) join converse(complement(A)) ->
% converse(complement(A))
% Current number of equations to process: 3618
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced :
% [438]
% converse(complement(converse(complement(A)))) join A ->
% converse(complement(converse(complement(A))))
% Rule
% [247]
% complement(converse(complement(converse(complement(A)))) join A) ->
% complement(converse(complement(converse(complement(A))))) collapsed.
% Current number of equations to process: 3618
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced :
% [439]
% converse(complement(converse(sk1))) join complement(converse(complement(sk2)))
% -> converse(complement(converse(sk1)))
% Current number of equations to process: 3696
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [440]
% complement(sk2 join A) join complement(converse(sk1)) ->
% complement(converse(sk1)) join complement(A)
% Current number of equations to process: 3695
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced :
% [441] complement(composition(top,A)) join complement(A) -> complement(A)
% Current number of equations to process: 3832
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [442] one join converse(complement(one join converse(A))) join A -> top
% Current number of equations to process: 4001
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [443]
% composition(converse(complement(A)),complement(composition(A,top))) ->
% composition(top,complement(composition(A,top)))
% Current number of equations to process: 4087
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced :
% [444]
% converse(complement(composition(A,converse(zero)))) join converse(A) -> top
% Current number of equations to process: 4556
% Current number of ordered equations: 0
% Current number of rules: 272
% New rule produced :
% [445]
% complement(composition(top,complement(composition(top,complement(A))))) join A
% -> top
% Current number of equations to process: 2104
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [446]
% converse(composition(complement(converse(complement(composition(A,top)))),A))
% -> converse(composition(top,A))
% Current number of equations to process: 2495
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced :
% [447]
% composition(sk1,complement(sk2)) join complement(one) ->
% composition(sk1,top) join complement(one)
% Current number of equations to process: 2786
% Current number of ordered equations: 0
% Current number of rules: 275
% New rule produced :
% [448]
% composition(zero,complement(converse(sk1))) join complement(sk2) ->
% complement(sk2)
% Current number of equations to process: 2824
% Current number of ordered equations: 0
% Current number of rules: 276
% New rule produced :
% [449]
% composition(zero,complement(sk2)) join complement(converse(sk1)) ->
% complement(converse(sk1))
% Current number of equations to process: 2823
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced :
% [450] composition(complement(composition(complement(A),top)),top) join A -> A
% Current number of equations to process: 3199
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced :
% [451]
% converse(composition(composition(A,top),top)) -> converse(composition(A,top))
% Current number of equations to process: 3841
% Current number of ordered equations: 0
% Current number of rules: 279
% New rule produced :
% [452] composition(composition(A,top),top) -> composition(A,top)
% Rule
% [451]
% converse(composition(composition(A,top),top)) -> converse(composition(A,top))
% collapsed.
% Current number of equations to process: 3883
% Current number of ordered equations: 0
% Current number of rules: 279
% New rule produced :
% [453] composition(top,composition(top,A)) -> composition(top,A)
% Current number of equations to process: 4100
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced :
% [454] composition(B,complement(composition(top,complement(A)))) join A -> A
% Rule
% [284] composition(top,complement(composition(top,complement(A)))) join A -> A
% collapsed.
% Current number of equations to process: 4384
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced : [455] composition(top,complement(A)) join A -> top
% Current number of equations to process: 4385
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced :
% [456] composition(top,complement(sk2)) join complement(converse(sk1)) -> top
% Current number of equations to process: 4434
% Current number of ordered equations: 1
% Current number of rules: 282
% New rule produced :
% [457] composition(top,complement(converse(sk1))) join complement(sk2) -> top
% Current number of equations to process: 4434
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced :
% [458]
% composition(top,composition(complement(one),top)) ->
% composition(complement(one),top)
% Current number of equations to process: 4580
% Current number of ordered equations: 0
% Current number of rules: 284
% New rule produced :
% [459]
% converse(sk1) join composition(top,complement(sk2)) ->
% composition(top,complement(sk2))
% Current number of equations to process: 4595
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced :
% [460] converse(composition(A,top)) join converse(complement(A)) -> top
% Current number of equations to process: 4621
% Current number of ordered equations: 1
% Current number of rules: 286
% New rule produced :
% [461] converse(composition(complement(A),top)) join converse(A) -> top
% Current number of equations to process: 4621
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [462]
% sk2 join composition(top,complement(converse(sk1))) ->
% composition(top,complement(converse(sk1)))
% Current number of equations to process: 4836
% Current number of ordered equations: 0
% Current number of rules: 288
% New rule produced :
% [463]
% composition(top,composition(complement(one),A)) join A -> composition(top,A)
% Current number of equations to process: 4835
% Current number of ordered equations: 0
% Current number of rules: 289
% New rule produced :
% [464]
% complement(composition(top,A) join B) join complement(A) -> complement(A)
% Current number of equations to process: 4834
% Current number of ordered equations: 0
% Current number of rules: 290
% New rule produced :
% [465]
% converse(composition(complement(one),A)) join converse(A) ->
% converse(composition(top,A))
% Current number of equations to process: 4833
% Current number of ordered equations: 0
% Current number of rules: 291
% New rule produced :
% [466]
% converse(composition(A,complement(one))) join converse(A) ->
% converse(composition(A,top))
% Current number of equations to process: 4832
% Current number of ordered equations: 0
% Current number of rules: 292
% New rule produced :
% [467]
% complement(composition(complement(one),A)) join A ->
% complement(composition(top,A)) join A
% Current number of equations to process: 4831
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced :
% [468]
% composition(B,complement(composition(top,A))) join complement(A) ->
% complement(A)
% Rule
% [290]
% composition(top,complement(composition(top,A))) join complement(A) ->
% complement(A) collapsed.
% Current number of equations to process: 4857
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced :
% [469]
% converse(composition(top,A)) join composition(complement(converse(A)),top) ->
% top
% Current number of equations to process: 4979
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced :
% [470]
% complement(composition(A,complement(composition(top,complement(B))))) join B
% -> top
% Rule
% [445]
% complement(composition(top,complement(composition(top,complement(A))))) join A
% -> top collapsed.
% Current number of equations to process: 4978
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced :
% [471]
% composition(composition(top,A),B) join complement(composition(A,B)) -> top
% Current number of equations to process: 4977
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced :
% [472]
% composition(top,A) join complement(complement(A) join B) ->
% composition(top,A)
% Current number of equations to process: 4975
% Current number of ordered equations: 0
% Current number of rules: 296
% New rule produced :
% [473]
% composition(top,complement(composition(A,B))) join composition(top,B) -> top
% Current number of equations to process: 4972
% Current number of ordered equations: 0
% Current number of rules: 297
% New rule produced :
% [474]
% converse(complement(converse(complement(composition(top,A))))) join complement(A)
% -> top
% Current number of equations to process: 4971
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [475]
% converse(composition(complement(sk2),top)) join converse(complement(converse(sk1)))
% -> top
% Current number of equations to process: 4970
% Current number of ordered equations: 0
% Current number of rules: 299
% New rule produced :
% [476]
% complement(composition(A,complement(composition(top,B)))) join complement(B)
% -> top
% Rule
% [301]
% complement(composition(top,complement(composition(top,A)))) join complement(A)
% -> top collapsed.
% Current number of equations to process: 4965
% Current number of ordered equations: 0
% Current number of rules: 299
% New rule produced :
% [477]
% converse(composition(top,A)) join complement(composition(converse(A),B)) ->
% top
% Current number of equations to process: 2203
% Current number of ordered equations: 0
% Current number of rules: 300
% New rule produced :
% [478]
% composition(top,A) join complement(A join B) ->
% composition(top,A) join complement(B)
% Current number of equations to process: 2298
% Current number of ordered equations: 0
% Current number of rules: 301
% New rule produced :
% [479]
% composition(top,complement(A)) join complement(A join B) ->
% composition(top,complement(A))
% Current number of equations to process: 2297
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced :
% [480]
% composition(top,A) join composition(complement(one),top) ->
% composition(complement(one),top) join A
% Current number of equations to process: 2295
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced :
% [481]
% composition(top,complement(converse(composition(top,complement(one))))) ->
% complement(converse(composition(top,complement(one))))
% Current number of equations to process: 2294
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced :
% [482]
% composition(A,top) join complement(converse(composition(B,converse(A)))) ->
% top
% Current number of equations to process: 2359
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced :
% [483] converse(composition(top,A)) join complement(converse(A)) -> top
% Current number of equations to process: 2419
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced :
% [484]
% composition(top,A) join complement(converse(complement(converse(A)))) ->
% composition(top,A)
% Current number of equations to process: 2632
% Current number of ordered equations: 0
% Current number of rules: 307
% New rule produced :
% [485] converse(complement(converse(A))) join composition(A,top) -> top
% Current number of equations to process: 2633
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [486] converse(composition(top,complement(A))) join converse(A) -> top
% Current number of equations to process: 2862
% Current number of ordered equations: 0
% Current number of rules: 309
% New rule produced :
% [487]
% converse(complement(A)) join complement(converse(composition(top,A))) ->
% converse(complement(A))
% Current number of equations to process: 2912
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced :
% [488]
% converse(composition(top,A)) join converse(composition(complement(A),top)) ->
% top
% Current number of equations to process: 2911
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced :
% [489]
% complement(converse(composition(A,top))) join complement(converse(A)) ->
% complement(converse(A))
% Current number of equations to process: 3075
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [490]
% converse(composition(A,top)) join composition(top,complement(converse(A))) ->
% top
% Current number of equations to process: 3074
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [491] complement(composition(A,converse(zero))) join A -> top
% Current number of equations to process: 3186
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced : [492] converse(composition(zero,converse(A))) join A -> A
% Current number of equations to process: 3200
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced : [493] composition(zero,converse(zero)) -> zero
% Rule [327] one join composition(zero,converse(zero)) -> one collapsed.
% Rule [345] sk1 join composition(zero,converse(zero)) -> sk1 collapsed.
% Current number of equations to process: 3252
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [494] composition(composition(zero,A),converse(zero)) join A -> A
% Current number of equations to process: 3250
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced :
% [495] converse(complement(composition(zero,converse(A)))) join A -> top
% Current number of equations to process: 3278
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced :
% [496]
% converse(composition(zero,converse(sk2))) join complement(one) ->
% complement(one)
% Current number of equations to process: 3304
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced :
% [497]
% converse(complement(converse(composition(A,converse(zero))))) join A -> top
% Current number of equations to process: 3303
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced :
% [498]
% composition(top,A) join composition(A,converse(zero)) -> composition(top,A)
% Current number of equations to process: 3301
% Current number of ordered equations: 0
% Current number of rules: 319
% New rule produced :
% [499] converse(A) join complement(converse(composition(zero,A))) -> top
% Current number of equations to process: 3309
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [500]
% complement(converse(complement(converse(composition(zero,A))))) join A -> A
% Current number of equations to process: 3374
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced :
% [501] complement(converse(composition(zero,converse(A)))) join A -> top
% Current number of equations to process: 3377
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced :
% [502] complement(sk2) join complement(composition(zero,converse(sk1))) -> top
% Current number of equations to process: 3390
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced :
% [503] converse(complement(composition(zero,A))) join converse(A) -> top
% Current number of equations to process: 3401
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [504] complement(composition(zero,composition(zero,A))) join A -> top
% Current number of equations to process: 3419
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced :
% [505] complement(converse(sk1)) join complement(composition(zero,sk2)) -> top
% Current number of equations to process: 3430
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [506] composition(top,complement(composition(zero,A))) join A -> top
% Current number of equations to process: 3435
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced :
% [507] converse(composition(zero,sk1)) join complement(sk2) -> complement(sk2)
% Current number of equations to process: 3436
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [508]
% converse(A) join complement(converse(composition(A,converse(zero)))) -> top
% Current number of equations to process: 3471
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [509] complement(complement(composition(zero,A)) join B) join A -> A
% Current number of equations to process: 3470
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [510] composition(zero,complement(composition(zero,A))) join A -> A
% Current number of equations to process: 3545
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced :
% [511]
% converse(composition(zero,composition(zero,A))) join converse(A) ->
% converse(A)
% Current number of equations to process: 3620
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced :
% [512]
% converse(sk1) join complement(composition(zero,sk2)) ->
% complement(composition(zero,sk2))
% Current number of equations to process: 3659
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [513]
% sk2 join complement(composition(zero,converse(sk1))) ->
% complement(composition(zero,converse(sk1)))
% Current number of equations to process: 3706
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced :
% [514] composition(zero,complement(composition(A,top))) -> zero
% Current number of equations to process: 4395
% Current number of ordered equations: 0
% Current number of rules: 335
% New rule produced :
% [515] composition(zero,A) join composition(B,top) -> composition(B,top)
% Rule
% [412]
% composition(zero,composition(A,B)) join composition(A,top) ->
% composition(A,top) collapsed.
% Current number of equations to process: 4394
% Current number of ordered equations: 0
% Current number of rules: 335
% New rule produced :
% [516]
% composition(zero,complement(converse(A))) join complement(one) ->
% complement(one)
% Current number of equations to process: 4406
% Current number of ordered equations: 0
% Current number of rules: 336
% New rule produced :
% [517] composition(zero,complement(A)) join complement(one) -> complement(one)
% Rule
% [516]
% composition(zero,complement(converse(A))) join complement(one) ->
% complement(one) collapsed.
% Current number of equations to process: 4407
% Current number of ordered equations: 0
% Current number of rules: 336
% New rule produced :
% [518] composition(A,B) join complement(composition(zero,B)) -> top
% Current number of equations to process: 4409
% Current number of ordered equations: 0
% Current number of rules: 337
% New rule produced :
% [519] composition(zero,complement(composition(A,complement(B)))) join B -> B
% Current number of equations to process: 4503
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced :
% [520] composition(zero,complement(converse(composition(top,A)))) -> zero
% Current number of equations to process: 4528
% Current number of ordered equations: 0
% Current number of rules: 339
% New rule produced :
% [521]
% composition(zero,complement(B)) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 4547
% Current number of ordered equations: 0
% Current number of rules: 340
% New rule produced :
% [522] converse(complement(sk2)) join complement(sk1) -> top
% Current number of equations to process: 4606
% Current number of ordered equations: 0
% Current number of rules: 341
% New rule produced :
% [523]
% complement(sk1) join complement(converse(complement(sk2))) -> complement(sk1)
% Current number of equations to process: 4626
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced :
% [524]
% converse(complement(sk2)) join composition(zero,sk1) ->
% converse(complement(sk2))
% Current number of equations to process: 4627
% Current number of ordered equations: 0
% Current number of rules: 343
% New rule produced :
% [525] converse(complement(sk2)) join complement(composition(zero,sk1)) -> top
% Current number of equations to process: 4671
% Current number of ordered equations: 0
% Current number of rules: 344
% New rule produced :
% [526]
% complement(sk2 join converse(complement(sk1))) ->
% complement(converse(complement(sk1)))
% Current number of equations to process: 4692
% Current number of ordered equations: 0
% Current number of rules: 345
% New rule produced :
% [527]
% complement(complement(sk2) join complement(converse(complement(sk1)))) -> sk2
% Current number of equations to process: 4691
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced :
% [528] sk2 join converse(complement(sk1)) -> converse(complement(sk1))
% Rule
% [526]
% complement(sk2 join converse(complement(sk1))) ->
% complement(converse(complement(sk1))) collapsed.
% Current number of equations to process: 4702
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced :
% [529]
% complement(sk2) join complement(converse(complement(sk1))) -> complement(sk2)
% Rule
% [527]
% complement(complement(sk2) join complement(converse(complement(sk1)))) -> sk2
% collapsed.
% Current number of equations to process: 4701
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced :
% [530] converse(complement(sk1)) join composition(top,complement(sk2)) -> top
% Current number of equations to process: 4704
% Current number of ordered equations: 1
% Current number of rules: 347
% New rule produced :
% [531] converse(composition(complement(sk1),top)) join complement(sk2) -> top
% Current number of equations to process: 4704
% Current number of ordered equations: 0
% Current number of rules: 348
% New rule produced :
% [532] converse(complement(sk1)) join complement(composition(zero,sk2)) -> top
% Current number of equations to process: 4711
% Current number of ordered equations: 0
% Current number of rules: 349
% New rule produced :
% [533]
% sk1 join converse(composition(complement(sk2),top)) ->
% converse(composition(complement(sk2),top))
% Current number of equations to process: 4739
% Current number of ordered equations: 0
% Current number of rules: 350
% New rule produced :
% [534]
% composition(top,sk1) join composition(A,converse(zero)) ->
% composition(top,sk1)
% Current number of equations to process: 4801
% Current number of ordered equations: 0
% Current number of rules: 351
% New rule produced :
% [535]
% composition(A,sk1) join complement(composition(A,converse(zero))) -> top
% Current number of equations to process: 4800
% Current number of ordered equations: 0
% Current number of rules: 352
% New rule produced :
% [536]
% composition(zero,complement(composition(A,B))) join complement(B) ->
% complement(B)
% Current number of equations to process: 4799
% Current number of ordered equations: 0
% Current number of rules: 353
% New rule produced :
% [537]
% composition(zero,B) join composition(A,complement(B)) ->
% composition(A,complement(B))
% Current number of equations to process: 4798
% Current number of ordered equations: 0
% Current number of rules: 354
% New rule produced :
% [538]
% complement(converse(complement(sk2)) join A) join complement(sk1) ->
% complement(sk1)
% Current number of equations to process: 4797
% Current number of ordered equations: 0
% Current number of rules: 355
% New rule produced :
% [539]
% complement(converse(complement(sk1)) join A) join complement(sk2) ->
% complement(sk2)
% Current number of equations to process: 4796
% Current number of ordered equations: 0
% Current number of rules: 356
% Rule [398]
% composition(converse(complement(composition(A,top))),composition(A,B))
% -> converse(zero) is composed into [398]
% composition(converse(complement(
% composition(A,top))),
% composition(A,B)) -> zero
% New rule produced : [540] converse(zero) -> zero
% Rule [322] composition(A,converse(zero)) join A -> A collapsed.
% Rule
% [333] converse(composition(A,converse(zero))) join converse(A) -> converse(A)
% collapsed.
% Rule
% [348]
% composition(A,sk1) join composition(A,converse(zero)) -> composition(A,sk1)
% collapsed.
% Rule [356] converse(zero) join A -> A collapsed.
% Rule [371] complement(converse(zero)) -> top collapsed.
% Rule [394] composition(converse(zero),A) -> converse(zero) collapsed.
% Rule
% [444]
% converse(complement(composition(A,converse(zero)))) join converse(A) -> top
% collapsed.
% Rule [491] complement(composition(A,converse(zero))) join A -> top collapsed.
% Rule [493] composition(zero,converse(zero)) -> zero collapsed.
% Rule [494] composition(composition(zero,A),converse(zero)) join A -> A
% collapsed.
% Rule
% [497]
% converse(complement(converse(composition(A,converse(zero))))) join A -> top
% collapsed.
% Rule
% [498]
% composition(top,A) join composition(A,converse(zero)) -> composition(top,A)
% collapsed.
% Rule
% [508]
% converse(A) join complement(converse(composition(A,converse(zero)))) -> top
% collapsed.
% Rule
% [534]
% composition(top,sk1) join composition(A,converse(zero)) ->
% composition(top,sk1) collapsed.
% Rule
% [535]
% composition(A,sk1) join complement(composition(A,converse(zero))) -> top
% collapsed.
% Current number of equations to process: 1184
% Current number of ordered equations: 0
% Current number of rules: 342
% Rule [399]
% composition(converse(B),composition(complement(composition(B,top)),A))
% -> composition(zero,A) is composed into [399]
% composition(converse(B),
% composition(complement(composition(B,top)),A))
% -> zero
% Rule [363]
% composition(B,composition(complement(converse(composition(top,B))),A))
% -> composition(zero,A) is composed into [363]
% composition(B,composition(
% complement(
% converse(composition(top,B))),A))
% -> zero
% New rule produced : [541] composition(zero,A) -> zero
% Rule [196] composition(zero,A) join A -> A collapsed.
% Rule [324] converse(complement(converse(composition(zero,A)))) join A -> top
% collapsed.
% Rule [325] complement(composition(zero,A)) join A -> top collapsed.
% Rule [326] converse(composition(zero,A)) join converse(A) -> converse(A)
% collapsed.
% Rule [328] composition(zero,composition(zero,A)) join A -> A collapsed.
% Rule
% [334]
% complement(composition(zero,A)) join complement(A) ->
% complement(composition(zero,A)) collapsed.
% Rule
% [336]
% complement(composition(zero,complement(A))) join A ->
% complement(composition(zero,complement(A))) collapsed.
% Rule [338] composition(zero,B) join composition(A,B) -> composition(A,B)
% collapsed.
% Rule
% [342] composition(zero,converse(sk1)) join complement(sk2) -> complement(sk2)
% collapsed.
% Rule
% [357]
% composition(zero,complement(A join B)) join complement(B) -> complement(B)
% collapsed.
% Rule
% [359]
% composition(composition(zero,A),B) join composition(A,B) -> composition(A,B)
% collapsed.
% Rule
% [360]
% composition(A,composition(zero,B)) join composition(A,B) -> composition(A,B)
% collapsed.
% Rule
% [367]
% complement(A join B) join complement(composition(zero,A)) ->
% complement(composition(zero,A)) collapsed.
% Rule [403] composition(zero,complement(A)) join A -> zero join A collapsed.
% Rule [405] composition(zero,A) join complement(A) -> zero join complement(A)
% collapsed.
% Rule [408] composition(zero,top) -> zero collapsed.
% Rule
% [420]
% composition(zero,sk2) join complement(converse(sk1)) ->
% complement(converse(sk1)) collapsed.
% Rule
% [424] complement(composition(zero,A) join B) join A -> complement(B) join A
% collapsed.
% Rule
% [436]
% converse(complement(converse(complement(A)))) join complement(composition(zero,A))
% -> top collapsed.
% Rule
% [448]
% composition(zero,complement(converse(sk1))) join complement(sk2) ->
% complement(sk2) collapsed.
% Rule
% [449]
% composition(zero,complement(sk2)) join complement(converse(sk1)) ->
% complement(converse(sk1)) collapsed.
% Rule [492] converse(composition(zero,converse(A))) join A -> A collapsed.
% Rule [495] converse(complement(composition(zero,converse(A)))) join A -> top
% collapsed.
% Rule
% [496]
% converse(composition(zero,converse(sk2))) join complement(one) ->
% complement(one) collapsed.
% Rule [499] converse(A) join complement(converse(composition(zero,A))) -> top
% collapsed.
% Rule
% [500]
% complement(converse(complement(converse(composition(zero,A))))) join A -> A
% collapsed.
% Rule [501] complement(converse(composition(zero,converse(A)))) join A -> top
% collapsed.
% Rule
% [502] complement(sk2) join complement(composition(zero,converse(sk1))) -> top
% collapsed.
% Rule [503] converse(complement(composition(zero,A))) join converse(A) -> top
% collapsed.
% Rule [504] complement(composition(zero,composition(zero,A))) join A -> top
% collapsed.
% Rule
% [505] complement(converse(sk1)) join complement(composition(zero,sk2)) -> top
% collapsed.
% Rule [506] composition(top,complement(composition(zero,A))) join A -> top
% collapsed.
% Rule
% [507] converse(composition(zero,sk1)) join complement(sk2) -> complement(sk2)
% collapsed.
% Rule [509] complement(complement(composition(zero,A)) join B) join A -> A
% collapsed.
% Rule [510] composition(zero,complement(composition(zero,A))) join A -> A
% collapsed.
% Rule
% [511]
% converse(composition(zero,composition(zero,A))) join converse(A) ->
% converse(A) collapsed.
% Rule
% [512]
% converse(sk1) join complement(composition(zero,sk2)) ->
% complement(composition(zero,sk2)) collapsed.
% Rule
% [513]
% sk2 join complement(composition(zero,converse(sk1))) ->
% complement(composition(zero,converse(sk1))) collapsed.
% Rule [514] composition(zero,complement(composition(A,top))) -> zero
% collapsed.
% Rule [515] composition(zero,A) join composition(B,top) -> composition(B,top)
% collapsed.
% Rule
% [517] composition(zero,complement(A)) join complement(one) -> complement(one)
% collapsed.
% Rule [518] composition(A,B) join complement(composition(zero,B)) -> top
% collapsed.
% Rule
% [519] composition(zero,complement(composition(A,complement(B)))) join B -> B
% collapsed.
% Rule [520] composition(zero,complement(converse(composition(top,A)))) -> zero
% collapsed.
% Rule
% [521]
% composition(zero,complement(B)) join composition(A,B) -> composition(A,B)
% collapsed.
% Rule
% [524]
% converse(complement(sk2)) join composition(zero,sk1) ->
% converse(complement(sk2)) collapsed.
% Rule
% [525] converse(complement(sk2)) join complement(composition(zero,sk1)) -> top
% collapsed.
% Rule
% [532] converse(complement(sk1)) join complement(composition(zero,sk2)) -> top
% collapsed.
% Rule
% [536]
% composition(zero,complement(composition(A,B))) join complement(B) ->
% complement(B) collapsed.
% Rule
% [537]
% composition(zero,B) join composition(A,complement(B)) ->
% composition(A,complement(B)) collapsed.
% Current number of equations to process: 1183
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced :
% [542]
% converse(complement(converse(complement(converse(complement(sk2)))))) join
% complement(sk1) -> top
% Current number of equations to process: 1147
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced :
% [543]
% converse(complement(sk1)) join complement(complement(sk2) join A) ->
% converse(complement(sk1))
% Current number of equations to process: 1142
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced :
% [544]
% complement(converse(sk1)) join complement(composition(top,complement(sk2)))
% -> complement(converse(sk1))
% Current number of equations to process: 1184
% Current number of ordered equations: 0
% Current number of rules: 296
% New rule produced :
% [545]
% composition(composition(A,B),converse(composition(top,B))) ->
% composition(composition(A,B),top)
% Current number of equations to process: 1246
% Current number of ordered equations: 0
% Current number of rules: 297
% New rule produced :
% [546]
% composition(converse(sk1),complement(converse(composition(top,complement(sk2)))))
% -> zero
% Current number of equations to process: 1407
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [547]
% composition(complement(sk2),A) join complement(composition(converse(sk1),A))
% -> top
% Current number of equations to process: 1420
% Current number of ordered equations: 0
% Current number of rules: 299
% New rule produced :
% [548]
% converse(complement(converse(A))) join complement(composition(top,A)) ->
% converse(complement(converse(A)))
% Current number of equations to process: 1468
% Current number of ordered equations: 0
% Current number of rules: 300
% New rule produced :
% [549]
% converse(composition(top,A)) join complement(converse(complement(A))) ->
% converse(composition(top,A))
% Current number of equations to process: 1467
% Current number of ordered equations: 0
% Current number of rules: 301
% New rule produced :
% [550]
% converse(complement(sk2)) join complement(sk1 join A) ->
% converse(complement(sk2)) join complement(A)
% Current number of equations to process: 1447
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced :
% [551]
% composition(converse(sk1),A) join composition(complement(sk2),top) ->
% composition(complement(sk2),top)
% Current number of equations to process: 1439
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced :
% [552]
% composition(converse(sk1),complement(converse(complement(sk2)))) join
% complement(one) -> complement(one)
% Current number of equations to process: 1438
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced :
% [553]
% composition(A,complement(sk2)) join complement(composition(A,converse(sk1)))
% -> top
% Current number of equations to process: 1510
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced :
% [554]
% converse(composition(top,sk1)) join composition(complement(sk2),top) ->
% composition(complement(sk2),top)
% Current number of equations to process: 1569
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced :
% [555]
% composition(top,complement(sk2)) join composition(A,converse(sk1)) ->
% composition(top,complement(sk2))
% Current number of equations to process: 1568
% Current number of ordered equations: 0
% Current number of rules: 307
% New rule produced :
% [556]
% converse(composition(sk1,top)) join composition(top,complement(sk2)) ->
% composition(top,complement(sk2))
% Current number of equations to process: 1589
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [557]
% converse(composition(top,complement(one))) ->
% composition(complement(one),top)
% Rule
% [481]
% composition(top,complement(converse(composition(top,complement(one))))) ->
% complement(converse(composition(top,complement(one)))) collapsed.
% Current number of equations to process: 1873
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [558]
% composition(converse(A),complement(one)) ->
% converse(composition(complement(one),A))
% Current number of equations to process: 1872
% Current number of ordered equations: 0
% Current number of rules: 309
% New rule produced :
% [559]
% composition(complement(one),converse(A)) ->
% converse(composition(A,complement(one)))
% Current number of equations to process: 1923
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced :
% [560] one join converse(composition(complement(one),top)) -> top
% Current number of equations to process: 1957
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced :
% [561]
% composition(complement(one),complement(composition(complement(one),top))) ->
% zero
% Current number of equations to process: 1955
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [562] composition(top,A) join composition(complement(A),top) -> top
% Current number of equations to process: 1961
% Current number of ordered equations: 1
% Current number of rules: 313
% New rule produced :
% [563] composition(composition(top,A),top) join complement(A) -> top
% Current number of equations to process: 1961
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [564] composition(complement(converse(sk1)),top) join complement(sk2) -> top
% Current number of equations to process: 1997
% Current number of ordered equations: 1
% Current number of rules: 315
% New rule produced :
% [565] composition(complement(sk2),top) join complement(converse(sk1)) -> top
% Current number of equations to process: 1997
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced : [566] composition(complement(A),top) join A -> top
% Current number of equations to process: 2015
% Current number of ordered equations: 1
% Current number of rules: 317
% New rule produced : [567] composition(A,top) join complement(A) -> top
% Current number of equations to process: 2015
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced :
% [568]
% converse(sk1) join composition(complement(sk2),top) ->
% composition(complement(sk2),top)
% Current number of equations to process: 2012
% Current number of ordered equations: 0
% Current number of rules: 319
% New rule produced :
% [569]
% composition(composition(top,complement(one)),top) ->
% composition(top,complement(one))
% Current number of equations to process: 2050
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [570] complement(composition(A,top)) join complement(A) -> complement(A)
% Current number of equations to process: 2174
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced :
% [571] composition(top,complement(one)) <-> composition(complement(one),top)
% Current number of equations to process: 2247
% Current number of ordered equations: 1
% Current number of rules: 322
% New rule produced :
% [572] composition(complement(one),top) <-> composition(top,complement(one))
% Current number of equations to process: 2247
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced :
% [573] converse(complement(sk1)) join composition(complement(sk2),top) -> top
% Current number of equations to process: 2261
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [574]
% composition(top,complement(composition(complement(one),top))) ->
% complement(composition(complement(one),top))
% Current number of equations to process: 2280
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced :
% [575]
% composition(composition(A,complement(one)),top) join A -> composition(A,top)
% Current number of equations to process: 2278
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [576]
% sk2 join composition(complement(converse(sk1)),top) ->
% composition(complement(converse(sk1)),top)
% Current number of equations to process: 2277
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced :
% [577]
% composition(composition(top,A),top) join A ->
% composition(composition(top,A),top)
% Current number of equations to process: 2276
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [578]
% composition(A,converse(composition(complement(one),top))) <->
% composition(composition(A,top),complement(one))
% Current number of equations to process: 2275
% Current number of ordered equations: 1
% Current number of rules: 329
% New rule produced :
% [579]
% composition(composition(A,top),complement(one)) <->
% composition(A,converse(composition(complement(one),top)))
% Current number of equations to process: 2275
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [580]
% composition(top,composition(complement(one),A)) <->
% composition(converse(composition(complement(one),top)),A)
% Current number of equations to process: 2274
% Current number of ordered equations: 1
% Current number of rules: 331
% New rule produced :
% [581]
% composition(converse(composition(complement(one),top)),A) <->
% composition(top,composition(complement(one),A))
% Current number of equations to process: 2274
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced :
% [582]
% complement(composition(A,complement(one))) join A ->
% complement(composition(A,top)) join A
% Current number of equations to process: 2273
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [583]
% complement(composition(A,top) join B) join complement(A) -> complement(A)
% Current number of equations to process: 2272
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced :
% [584]
% composition(A,converse(composition(B,complement(one)))) <->
% composition(composition(A,complement(one)),converse(B))
% Current number of equations to process: 2270
% Current number of ordered equations: 3
% Current number of rules: 335
% New rule produced :
% [585]
% composition(A,converse(composition(complement(one),B))) <->
% composition(composition(A,converse(B)),complement(one))
% Current number of equations to process: 2270
% Current number of ordered equations: 2
% Current number of rules: 336
% New rule produced :
% [586]
% composition(composition(A,converse(B)),complement(one)) <->
% composition(A,converse(composition(complement(one),B)))
% Current number of equations to process: 2270
% Current number of ordered equations: 1
% Current number of rules: 337
% New rule produced :
% [587]
% composition(composition(A,complement(one)),converse(B)) <->
% composition(A,converse(composition(B,complement(one))))
% Current number of equations to process: 2270
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced :
% [588]
% composition(converse(A),composition(complement(one),B)) <->
% composition(converse(composition(complement(one),A)),B)
% Current number of equations to process: 2268
% Current number of ordered equations: 3
% Current number of rules: 339
% New rule produced :
% [589]
% composition(converse(composition(complement(one),A)),B) <->
% composition(converse(A),composition(complement(one),B))
% Current number of equations to process: 2268
% Current number of ordered equations: 2
% Current number of rules: 340
% New rule produced :
% [590]
% composition(converse(composition(A,complement(one))),B) <->
% composition(complement(one),composition(converse(A),B))
% Current number of equations to process: 2268
% Current number of ordered equations: 1
% Current number of rules: 341
% New rule produced :
% [591]
% composition(complement(one),composition(converse(A),B)) <->
% composition(converse(composition(A,complement(one))),B)
% Current number of equations to process: 2268
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced :
% [592]
% one join composition(A,complement(converse(composition(complement(one),A))))
% -> one
% Current number of equations to process: 2263
% Current number of ordered equations: 0
% Current number of rules: 343
% New rule produced :
% [593]
% converse(composition(composition(A,top),complement(one))) <->
% composition(composition(complement(one),top),converse(A))
% Current number of equations to process: 2262
% Current number of ordered equations: 1
% Current number of rules: 344
% New rule produced :
% [594]
% composition(composition(complement(one),top),converse(A)) <->
% converse(composition(composition(A,top),complement(one)))
% Current number of equations to process: 2262
% Current number of ordered equations: 0
% Current number of rules: 345
% New rule produced :
% [595]
% converse(composition(complement(one),composition(top,A))) <->
% composition(converse(A),composition(top,complement(one)))
% Current number of equations to process: 2261
% Current number of ordered equations: 1
% Current number of rules: 346
% New rule produced :
% [596]
% composition(converse(A),composition(top,complement(one))) <->
% converse(composition(complement(one),composition(top,A)))
% Current number of equations to process: 2261
% Current number of ordered equations: 0
% Current number of rules: 347
% New rule produced :
% [597]
% composition(top,A) join composition(complement(composition(B,A)),top) -> top
% Current number of equations to process: 2255
% Current number of ordered equations: 1
% Current number of rules: 348
% New rule produced :
% [598]
% composition(composition(top,A),top) join complement(composition(B,A)) -> top
% Current number of equations to process: 2255
% Current number of ordered equations: 0
% Current number of rules: 349
% New rule produced :
% [599]
% converse(complement(converse(complement(composition(A,top))))) join complement(A)
% -> top
% Current number of equations to process: 2254
% Current number of ordered equations: 0
% Current number of rules: 350
% New rule produced :
% [600]
% converse(complement(converse(A))) join composition(composition(top,A),top) ->
% top
% Current number of equations to process: 2253
% Current number of ordered equations: 0
% Current number of rules: 351
% New rule produced :
% [601]
% converse(composition(A,top)) join composition(complement(converse(A)),top) ->
% top
% Current number of equations to process: 2252
% Current number of ordered equations: 0
% Current number of rules: 352
% New rule produced :
% [602]
% complement(converse(sk1)) join complement(composition(complement(sk2),top))
% -> complement(converse(sk1))
% Current number of equations to process: 2250
% Current number of ordered equations: 0
% Current number of rules: 353
% New rule produced :
% [603]
% converse(composition(composition(complement(one),top),converse(A))) <->
% composition(composition(A,top),complement(one))
% Current number of equations to process: 2249
% Current number of ordered equations: 1
% Current number of rules: 354
% New rule produced :
% [604]
% composition(composition(A,top),complement(one)) <->
% converse(composition(composition(complement(one),top),converse(A)))
% Current number of equations to process: 2249
% Current number of ordered equations: 0
% Current number of rules: 355
% New rule produced :
% [605]
% converse(composition(converse(A),composition(top,complement(one)))) <->
% composition(complement(one),composition(top,A))
% Current number of equations to process: 2248
% Current number of ordered equations: 1
% Current number of rules: 356
% New rule produced :
% [606]
% composition(complement(one),composition(top,A)) <->
% converse(composition(converse(A),composition(top,complement(one))))
% Current number of equations to process: 2248
% Current number of ordered equations: 0
% Current number of rules: 357
% New rule produced :
% [607]
% composition(top,complement(one)) join composition(A,top) ->
% composition(top,complement(one)) join A
% Current number of equations to process: 2246
% Current number of ordered equations: 0
% Current number of rules: 358
% New rule produced :
% [608]
% composition(A,top) join complement(A join B) ->
% composition(A,top) join complement(B)
% Current number of equations to process: 2245
% Current number of ordered equations: 0
% Current number of rules: 359
% New rule produced :
% [609]
% composition(complement(A),top) join complement(A join B) ->
% composition(complement(A),top)
% Current number of equations to process: 2243
% Current number of ordered equations: 0
% Current number of rules: 360
% New rule produced :
% [610] converse(composition(top,complement(converse(A)))) join A -> top
% Current number of equations to process: 2492
% Current number of ordered equations: 0
% Current number of rules: 361
% New rule produced :
% [611] converse(composition(top,complement(sk1))) join complement(sk2) -> top
% Current number of equations to process: 2588
% Current number of ordered equations: 0
% Current number of rules: 362
% New rule produced :
% [612]
% sk1 join converse(composition(top,complement(sk2))) ->
% converse(composition(top,complement(sk2)))
% Current number of equations to process: 2587
% Current number of ordered equations: 0
% Current number of rules: 363
% New rule produced :
% [613] converse(composition(complement(converse(A)),top)) join A -> top
% Current number of equations to process: 2615
% Current number of ordered equations: 0
% Current number of rules: 364
% New rule produced :
% [614]
% converse(composition(top,complement(sk2))) join converse(complement(converse(sk1)))
% -> top
% Current number of equations to process: 2825
% Current number of ordered equations: 1
% Current number of rules: 365
% New rule produced :
% [615]
% converse(composition(top,complement(converse(sk1)))) join converse(complement(sk2))
% -> top
% Current number of equations to process: 2825
% Current number of ordered equations: 0
% Current number of rules: 366
% New rule produced :
% [616]
% complement(converse(composition(top,A))) join complement(converse(A)) ->
% complement(converse(A))
% Current number of equations to process: 2823
% Current number of ordered equations: 0
% Current number of rules: 367
% New rule produced :
% [617]
% converse(composition(top,complement(converse(A)))) join composition(top,A) ->
% top
% Current number of equations to process: 2822
% Current number of ordered equations: 0
% Current number of rules: 368
% New rule produced :
% [618]
% converse(composition(top,complement(A))) join converse(composition(top,A)) ->
% top
% Current number of equations to process: 2821
% Current number of ordered equations: 0
% Current number of rules: 369
% New rule produced :
% [619]
% converse(composition(top,composition(A,top))) join complement(converse(A)) ->
% top
% Current number of equations to process: 2820
% Current number of ordered equations: 0
% Current number of rules: 370
% New rule produced :
% [620]
% converse(composition(complement(converse(sk1)),top)) join converse(complement(sk2))
% -> top
% Current number of equations to process: 2818
% Current number of ordered equations: 0
% Current number of rules: 371
% New rule produced :
% [621]
% converse(composition(complement(converse(A)),top)) join composition(top,A) ->
% top
% Current number of equations to process: 2816
% Current number of ordered equations: 0
% Current number of rules: 372
% New rule produced :
% [622]
% converse(composition(composition(top,A),top)) join converse(complement(A)) ->
% top
% Current number of equations to process: 2815
% Current number of ordered equations: 0
% Current number of rules: 373
% New rule produced :
% [623]
% converse(composition(complement(one),top)) join complement(one) ->
% converse(composition(complement(one),top))
% Current number of equations to process: 2814
% Current number of ordered equations: 0
% Current number of rules: 374
% New rule produced :
% [624]
% composition(composition(A,complement(one)),complement(composition(complement(one),top)))
% -> zero
% Current number of equations to process: 2813
% Current number of ordered equations: 0
% Current number of rules: 375
% New rule produced :
% [625]
% composition(A,top) join complement(composition(composition(A,B),top)) -> top
% Current number of equations to process: 2812
% Current number of ordered equations: 0
% Current number of rules: 376
% New rule produced :
% [626]
% composition(complement(one),composition(complement(composition(complement(one),top)),A))
% -> zero
% Current number of equations to process: 2927
% Current number of ordered equations: 0
% Current number of rules: 377
% New rule produced :
% [627]
% composition(A,top) join complement(composition(composition(A,B),C)) -> top
% Rule
% [625]
% composition(A,top) join complement(composition(composition(A,B),top)) -> top
% collapsed.
% Current number of equations to process: 3032
% Current number of ordered equations: 0
% Current number of rules: 377
% New rule produced :
% [628]
% composition(top,complement(composition(A,B))) join composition(A,top) -> top
% Current number of equations to process: 3030
% Current number of ordered equations: 1
% Current number of rules: 378
% New rule produced :
% [629]
% composition(top,composition(A,top)) join complement(composition(A,B)) -> top
% Current number of equations to process: 3030
% Current number of ordered equations: 0
% Current number of rules: 379
% New rule produced :
% [630]
% composition(complement(composition(A,B)),top) join composition(A,top) -> top
% Current number of equations to process: 3029
% Current number of ordered equations: 0
% Current number of rules: 380
% New rule produced :
% [631]
% converse(composition(A,top)) join complement(one) ->
% composition(A,top) join complement(one)
% Rule
% [623]
% converse(composition(complement(one),top)) join complement(one) ->
% converse(composition(complement(one),top)) collapsed.
% Current number of equations to process: 3051
% Current number of ordered equations: 0
% Current number of rules: 380
% Rule [580]
% composition(top,composition(complement(one),A)) <->
% composition(converse(composition(complement(one),top)),A) is composed into
% [580]
% composition(top,composition(complement(one),A)) <->
% composition(composition(complement(one),top),A)
% Rule [579]
% composition(composition(A,top),complement(one)) <->
% composition(A,converse(composition(complement(one),top))) is composed into
% [579]
% composition(composition(A,top),complement(one)) <->
% composition(A,composition(complement(one),top))
% New rule produced :
% [632]
% converse(composition(complement(one),top)) ->
% composition(complement(one),top)
% Rule [560] one join converse(composition(complement(one),top)) -> top
% collapsed.
% Rule
% [578]
% composition(A,converse(composition(complement(one),top))) <->
% composition(composition(A,top),complement(one)) collapsed.
% Rule
% [581]
% composition(converse(composition(complement(one),top)),A) <->
% composition(top,composition(complement(one),A)) collapsed.
% Current number of equations to process: 3052
% Current number of ordered equations: 0
% Current number of rules: 378
% New rule produced :
% [633]
% converse(composition(composition(top,A),converse(A))) -> composition(A,top)
% Current number of equations to process: 3194
% Current number of ordered equations: 0
% Current number of rules: 379
% New rule produced :
% [634]
% composition(complement(one),composition(complement(one),top)) ->
% composition(complement(one),top)
% Current number of equations to process: 3259
% Current number of ordered equations: 0
% Current number of rules: 380
% New rule produced :
% [635] complement(composition(top,complement(A))) join A -> A
% Current number of equations to process: 3715
% Current number of ordered equations: 0
% Current number of rules: 381
% New rule produced :
% [636] complement(composition(complement(A),top)) join A -> A
% Current number of equations to process: 3754
% Current number of ordered equations: 0
% Current number of rules: 382
% New rule produced :
% [637]
% composition(converse(composition(A,top)),composition(top,A)) ->
% composition(top,A)
% Current number of equations to process: 3777
% Current number of ordered equations: 0
% Current number of rules: 383
% New rule produced :
% [638]
% composition(composition(A,top),composition(top,B)) ->
% composition(A,composition(top,B))
% Current number of equations to process: 3776
% Current number of ordered equations: 0
% Current number of rules: 384
% New rule produced :
% [639]
% composition(top,composition(A,top)) join A ->
% composition(top,composition(A,top))
% Current number of equations to process: 3774
% Current number of ordered equations: 0
% Current number of rules: 385
% New rule produced :
% [640] complement(composition(top,complement(A)) join B) join A -> A
% Current number of equations to process: 3773
% Current number of ordered equations: 0
% Current number of rules: 386
% New rule produced :
% [641] complement(composition(complement(A),top) join B) join A -> A
% Current number of equations to process: 3772
% Current number of ordered equations: 0
% Current number of rules: 387
% New rule produced :
% [642]
% composition(converse(composition(top,A)),composition(A,top)) ->
% converse(composition(top,A))
% Current number of equations to process: 3773
% Current number of ordered equations: 0
% Current number of rules: 388
% New rule produced :
% [643]
% converse(complement(complement(A) join B)) join converse(A) -> converse(A)
% Current number of equations to process: 3772
% Current number of ordered equations: 0
% Current number of rules: 389
% New rule produced :
% [644]
% composition(converse(composition(A,top)),composition(A,B)) ->
% composition(composition(top,A),B)
% Current number of equations to process: 3773
% Current number of ordered equations: 0
% Current number of rules: 390
% New rule produced :
% [645]
% composition(composition(A,top),composition(converse(B),B)) ->
% composition(A,composition(top,B))
% Current number of equations to process: 3772
% Current number of ordered equations: 0
% Current number of rules: 391
% New rule produced :
% [646]
% converse(complement(sk2)) join complement(complement(sk1) join A) ->
% converse(complement(sk2))
% Current number of equations to process: 3768
% Current number of ordered equations: 0
% Current number of rules: 392
% New rule produced :
% [647]
% composition(A,top) join complement(complement(A) join B) ->
% composition(A,top)
% Current number of equations to process: 3766
% Current number of ordered equations: 0
% Current number of rules: 393
% Rule [411]
% composition(converse(A),A) join complement(one) ->
% converse(composition(top,A)) join complement(one) is composed into
% [411]
% composition(converse(A),A) join complement(one) ->
% composition(top,A) join complement(one)
% New rule produced :
% [648]
% converse(composition(top,A)) join complement(one) ->
% composition(top,A) join complement(one)
% Current number of equations to process: 3782
% Current number of ordered equations: 0
% Current number of rules: 394
% New rule produced :
% [649]
% composition(complement(sk2),sk1) join complement(one) ->
% composition(top,sk1) join complement(one)
% Current number of equations to process: 3923
% Current number of ordered equations: 0
% Current number of rules: 395
% New rule produced : [650] converse(complement(converse(complement(A)))) -> A
% Rule
% [244]
% converse(complement(converse(complement(A join B)))) join complement(B) ->
% top collapsed.
% Rule
% [434]
% converse(complement(converse(complement(complement(A) join B)))) join A ->
% top collapsed.
% Rule
% [438]
% converse(complement(converse(complement(A)))) join A ->
% converse(complement(converse(complement(A)))) collapsed.
% Rule
% [474]
% converse(complement(converse(complement(composition(top,A))))) join complement(A)
% -> top collapsed.
% Rule
% [542]
% converse(complement(converse(complement(converse(complement(sk2)))))) join
% complement(sk1) -> top collapsed.
% Rule
% [599]
% converse(complement(converse(complement(composition(A,top))))) join complement(A)
% -> top collapsed.
% Current number of equations to process: 4163
% Current number of ordered equations: 0
% Current number of rules: 390
% New rule produced : [651] converse(complement(converse(A))) -> complement(A)
% Rule [62] converse(complement(converse(A))) join A -> top collapsed.
% Rule
% [171]
% converse(complement(converse(composition(A,B)))) join composition(top,B) ->
% top collapsed.
% Rule
% [216]
% converse(complement(sk2)) join converse(complement(converse(sk1))) -> top
% collapsed.
% Rule
% [255]
% composition(converse(complement(converse(B))),A) join composition(B,A) ->
% composition(top,A) collapsed.
% Rule
% [258]
% converse(complement(converse(composition(converse(A),complement(A))))) join
% complement(one) -> top collapsed.
% Rule
% [261]
% converse(complement(converse(composition(A,complement(converse(A)))))) join
% complement(one) -> top collapsed.
% Rule
% [266]
% composition(A,converse(complement(converse(B)))) join composition(A,B) ->
% composition(A,top) collapsed.
% Rule [308] converse(complement(converse(A))) join composition(top,A) -> top
% collapsed.
% Rule
% [309]
% converse(complement(converse(composition(A,B)))) join composition(A,top) ->
% top collapsed.
% Rule [416] complement(converse(complement(converse(A)))) join A -> A
% collapsed.
% Rule
% [417]
% converse(complement(converse(A))) join complement(A) ->
% converse(complement(converse(A))) collapsed.
% Rule [418] complement(converse(complement(converse(A))) join B) join A -> A
% collapsed.
% Rule
% [419]
% converse(complement(converse(sk2))) join complement(converse(sk1)) -> top
% collapsed.
% Rule
% [421]
% converse(sk2) join converse(complement(converse(sk1))) ->
% converse(complement(converse(sk1))) collapsed.
% Rule
% [427]
% converse(complement(sk2)) join complement(converse(complement(converse(sk1))))
% -> converse(complement(sk2)) collapsed.
% Rule
% [431]
% converse(complement(converse(A))) join complement(A join B) ->
% converse(complement(converse(A))) collapsed.
% Rule
% [439]
% converse(complement(converse(sk1))) join complement(converse(complement(sk2)))
% -> converse(complement(converse(sk1))) collapsed.
% Rule
% [475]
% converse(composition(complement(sk2),top)) join converse(complement(converse(sk1)))
% -> top collapsed.
% Rule
% [484]
% composition(top,A) join complement(converse(complement(converse(A)))) ->
% composition(top,A) collapsed.
% Rule [485] converse(complement(converse(A))) join composition(A,top) -> top
% collapsed.
% Rule
% [548]
% converse(complement(converse(A))) join complement(composition(top,A)) ->
% converse(complement(converse(A))) collapsed.
% Rule
% [600]
% converse(complement(converse(A))) join composition(composition(top,A),top) ->
% top collapsed.
% Rule
% [614]
% converse(composition(top,complement(sk2))) join converse(complement(converse(sk1)))
% -> top collapsed.
% Rule [650] converse(complement(converse(complement(A)))) -> A collapsed.
% Current number of equations to process: 4285
% Current number of ordered equations: 0
% Current number of rules: 367
% New rule produced :
% [652] converse(sk2) join complement(sk1) -> complement(sk1)
% Current number of equations to process: 4284
% Current number of ordered equations: 0
% Current number of rules: 368
% New rule produced :
% [653] converse(composition(complement(sk2),top)) join complement(sk1) -> top
% Current number of equations to process: 4283
% Current number of ordered equations: 0
% Current number of rules: 369
% New rule produced :
% [654] converse(composition(top,complement(sk2))) join complement(sk1) -> top
% Current number of equations to process: 4282
% Current number of ordered equations: 0
% Current number of rules: 370
% New rule produced :
% [655]
% complement(sk2) join complement(composition(top,complement(converse(sk1))))
% -> complement(sk2)
% Current number of equations to process: 4419
% Current number of ordered equations: 0
% Current number of rules: 371
% New rule produced :
% [656]
% complement(sk2) join complement(composition(complement(converse(sk1)),top))
% -> complement(sk2)
% Current number of equations to process: 4426
% Current number of ordered equations: 0
% Current number of rules: 372
% New rule produced :
% [657]
% converse(A) join complement(converse(composition(complement(A),top))) ->
% converse(A)
% Current number of equations to process: 4441
% Current number of ordered equations: 0
% Current number of rules: 373
% New rule produced :
% [658]
% converse(A) join complement(converse(composition(top,complement(A)))) ->
% converse(A)
% Current number of equations to process: 4440
% Current number of ordered equations: 0
% Current number of rules: 374
% New rule produced :
% [659] converse(complement(converse(complement(A)) join B)) join A -> A
% Current number of equations to process: 4452
% Current number of ordered equations: 0
% Current number of rules: 375
% New rule produced :
% [660]
% converse(complement(A)) join complement(converse(composition(A,top))) ->
% converse(complement(A))
% Current number of equations to process: 4567
% Current number of ordered equations: 0
% Current number of rules: 376
% New rule produced :
% [661]
% converse(complement(converse(A) join B)) join complement(A) -> complement(A)
% Current number of equations to process: 4591
% Current number of ordered equations: 0
% Current number of rules: 377
% New rule produced :
% [662]
% composition(composition(A,converse(B)),composition(B,top)) ->
% composition(A,converse(composition(top,B)))
% Current number of equations to process: 4812
% Current number of ordered equations: 0
% Current number of rules: 378
% New rule produced :
% [663]
% composition(converse(composition(A,B)),composition(A,top)) ->
% converse(composition(top,composition(A,B)))
% Current number of equations to process: 4811
% Current number of ordered equations: 0
% Current number of rules: 379
% New rule produced :
% [664]
% composition(composition(converse(A),A),composition(top,B)) ->
% composition(converse(composition(top,A)),B)
% Current number of equations to process: 4809
% Current number of ordered equations: 0
% Current number of rules: 380
% New rule produced :
% [665]
% composition(converse(A),composition(A,composition(top,B))) ->
% composition(converse(composition(top,A)),B)
% Current number of equations to process: 4807
% Current number of ordered equations: 0
% Current number of rules: 381
% New rule produced :
% [666]
% converse(composition(composition(top,A),top)) ->
% composition(composition(top,A),top)
% Rule
% [622]
% converse(composition(composition(top,A),top)) join converse(complement(A)) ->
% top collapsed.
% Current number of equations to process: 4803
% Current number of ordered equations: 0
% Current number of rules: 381
% New rule produced :
% [667] converse(complement(A)) join composition(composition(top,A),top) -> top
% Current number of equations to process: 4802
% Current number of ordered equations: 0
% Current number of rules: 382
% New rule produced :
% [668]
% converse(composition(A,top)) join complement(converse(complement(A))) ->
% converse(composition(A,top))
% Current number of equations to process: 4801
% Current number of ordered equations: 0
% Current number of rules: 383
% New rule produced :
% [669]
% composition(composition(A,top),complement(composition(composition(top,A),top)))
% -> zero
% Current number of equations to process: 4836
% Current number of ordered equations: 0
% Current number of rules: 384
% New rule produced :
% [670]
% converse(complement(composition(top,A))) join converse(complement(A)) ->
% converse(complement(A))
% Current number of equations to process: 2206
% Current number of ordered equations: 0
% Current number of rules: 385
% New rule produced :
% [671]
% converse(complement(sk1 join A)) join complement(sk2) ->
% converse(complement(A)) join complement(sk2)
% Current number of equations to process: 2293
% Current number of ordered equations: 0
% Current number of rules: 386
% New rule produced :
% [672]
% converse(complement(complement(sk2) join A)) join complement(sk1) ->
% complement(sk1)
% Current number of equations to process: 2346
% Current number of ordered equations: 0
% Current number of rules: 387
% New rule produced :
% [673]
% converse(complement(converse(A) join B)) join A ->
% converse(complement(B)) join A
% Rule
% [254] converse(complement(converse(A) join converse(B))) join A join B -> top
% collapsed.
% Rule [442] one join converse(complement(one join converse(A))) join A -> top
% collapsed.
% Current number of equations to process: 2402
% Current number of ordered equations: 0
% Current number of rules: 386
% New rule produced :
% [674]
% one join converse(complement(one join A)) -> one join converse(complement(A))
% Current number of equations to process: 2484
% Current number of ordered equations: 0
% Current number of rules: 387
% New rule produced :
% [675]
% sk1 join complement(converse(complement(complement(converse(sk1)) join A)))
% -> top
% Current number of equations to process: 2783
% Current number of ordered equations: 0
% Current number of rules: 388
% New rule produced :
% [676]
% one join complement(converse(complement(complement(one) join A))) -> top
% Current number of equations to process: 2838
% Current number of ordered equations: 0
% Current number of rules: 389
% New rule produced :
% [677] complement(sk1) join complement(converse(sk2)) -> top
% The conjecture has been reduced.
% Conjecture is now:
% Trivial
%
% Current number of equations to process: 2847
% Current number of ordered equations: 0
% Current number of rules: 390
% The current conjecture is true and the solution is the identity
% % SZS output start Refutation
%
% The following 16 rules have been used:
% [1]
% converse(converse(A)) -> A; trace = in the starting set
% [3] complement(A) join A -> top; trace = in the starting set
% [6] converse(A join B) -> converse(A) join converse(B); trace = in the starting set
% [10] meet(A,B) -> complement(complement(A) join complement(B)); trace = in the starting set
% [12] complement(complement(sk2) join complement(converse(sk1))) -> zero; trace = in the starting set
% [15] complement(complement(A) join complement(B)) join complement(complement(A) join B)
% -> A; trace = in the starting set
% [17] converse(complement(A)) join converse(A) -> converse(top); trace = Cp of 6 and 3
% [50] complement(complement(A)) -> A; trace = Cp of 15 and 3
% [57] zero join complement(converse(sk1) join complement(sk2)) -> sk2; trace = Cp of 15 and 12
% [59] complement(complement(A) join B) join B <->
% complement(complement(B) join A) join A; trace = Self cp of 15
% [62] converse(complement(converse(A))) join A -> top; trace = Cp of 17 and 1
% [144] complement(complement(A) join B) join complement(A join B) ->
% complement(B); trace = Cp of 50 and 15
% [207] converse(sk1) join complement(sk2) -> complement(sk2); trace = Cp of 59 and 57
% [244] converse(complement(converse(complement(A join B)))) join complement(B)
% -> top; trace = Cp of 144 and 62
% [435] converse(complement(A)) join complement(converse(complement(A join B)))
% -> top; trace = Cp of 244 and 6
% [677] complement(sk1) join complement(converse(sk2)) -> top; trace = Cp of 435 and 207
% % SZS output end Refutation
% All conjectures have been proven
%
% Execution time: 121.110000 sec
% res : bool = true
% time is now off
%
% status : string = "unsatisfiable"
% % SZS status Unsatisfiable
% CiME interrupted
%
% EOF
%------------------------------------------------------------------------------