TSTP Solution File: REL047-1 by CiME---2.01
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%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : REL047-1 : TPTP v6.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n101.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32286.75MB
% OS : Linux 2.6.32-431.11.2.el6.x86_64
% CPULimit : 300s
% DateTime : Tue Jun 10 00:31:35 EDT 2014
% Result : Timeout 300.08s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : REL047-1 : TPTP v6.0.0. Released v4.0.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n101.star.cs.uiowa.edu
% % Model : x86_64 x86_64
% % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory : 32286.75MB
% % OS : Linux 2.6.32-431.11.2.el6.x86_64
% % CPULimit : 300
% % DateTime : Fri Jun 6 03:12:48 CDT 2014
% % CPUTime : 300.08
% Processing problem /tmp/CiME_46966_n101.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " join : AC; sk3,sk2,sk1,zero,top,one : constant; converse : 1; composition : 2; meet : 2; complement : 1;";
% let X = vars "A B C";
% let Axioms = equations F X "
% composition(composition(A,B),C) = composition(A,composition(B,C));
% A = complement(complement(A) join complement(B)) join complement(complement(A) join B);
% meet(A,B) = complement(complement(A) join complement(B));
% composition(A,one) = A;
% composition(A join B,C) = composition(A,C) join composition(B,C);
% converse(converse(A)) = A;
% converse(A join B) = converse(A) join converse(B);
% converse(composition(A,B)) = composition(converse(B),converse(A));
% composition(converse(A),complement(composition(A,B))) join complement(B) = complement(B);
% top = A join complement(A);
% zero = meet(A,complement(A));
% sk1 join sk2 = sk2;
% sk1 join sk3 = sk3;
% ";
%
% let s1 = status F "
% sk3 lr_lex;
% sk2 lr_lex;
% sk1 lr_lex;
% zero lr_lex;
% top lr_lex;
% converse lr_lex;
% one lr_lex;
% meet lr_lex;
% complement lr_lex;
% composition mul;
% join mul;
% ";
%
% let p1 = precedence F "
% meet > composition > complement > converse > join > one > top > zero > sk1 > sk2 > sk3";
%
% let s2 = status F "
% sk3 mul;
% sk2 mul;
% sk1 mul;
% zero mul;
% top mul;
% converse mul;
% one mul;
% composition mul;
% meet mul;
% complement mul;
% join mul;
% ";
%
% let p2 = precedence F "
% meet > composition > complement > converse > join > one = top = zero = sk1 = sk2 = sk3";
%
% let o_auto = AUTO Axioms;
%
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
%
% let Conjectures = equations F X " sk1 join meet(sk2,sk3) = meet(sk2,sk3);"
% ;
% (*
% 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)),
% sk2 join sk1 = sk2,
% sk3 join sk1 = sk3 } (13 equation(s))
% s1 : F status = <status>
% p1 : F precedence = <precedence>
% s2 : F status = <status>
% p2 : F precedence = <precedence>
% o_auto : F term_ordering = <term ordering>
% o : F term_ordering = <term ordering>
% Conjectures : (F,X) equations = { sk1 join meet(sk2,sk3) = meet(sk2,sk3) }
% (1 equation(s))
% time is now on
%
% Initializing completion ...
% New rule produced : [1] converse(converse(A)) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 13
% Current number of rules: 1
% New rule produced : [2] sk2 join sk1 -> sk2
% Current number of equations to process: 0
% Current number of ordered equations: 12
% Current number of rules: 2
% New rule produced : [3] sk3 join sk1 -> sk3
% Current number of equations to process: 0
% Current number of ordered equations: 11
% Current number of rules: 3
% New rule produced : [4] composition(A,one) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 10
% Current number of rules: 4
% New rule produced : [5] complement(A) join A -> top
% Current number of equations to process: 0
% Current number of ordered equations: 9
% Current number of rules: 5
% New rule produced : [6] meet(A,complement(A)) -> zero
% Current number of equations to process: 0
% Current number of ordered equations: 8
% Current number of rules: 6
% New rule produced : [7] converse(A join B) -> converse(A) join converse(B)
% Current number of equations to process: 0
% Current number of ordered equations: 7
% Current number of rules: 7
% New rule produced :
% [8] composition(converse(B),converse(A)) -> converse(composition(A,B))
% Current number of equations to process: 0
% Current number of ordered equations: 6
% Current number of rules: 8
% New rule produced :
% [9] composition(A,composition(B,C)) <-> composition(composition(A,B),C)
% Current number of equations to process: 33
% Current number of ordered equations: 18
% Current number of rules: 9
% New rule produced :
% [10] composition(composition(A,B),C) <-> composition(A,composition(B,C))
% Current number of equations to process: 33
% Current number of ordered equations: 17
% Current number of rules: 10
% New rule produced :
% [11] meet(A,B) -> complement(complement(A) join complement(B))
% Rule [6] meet(A,complement(A)) -> zero collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% sk1 join complement(complement(sk3) join complement(sk2)) = complement(
% complement(sk3) join
% complement(sk2))
%
% Current number of equations to process: 34
% Current number of ordered equations: 16
% Current number of rules: 10
% New rule produced : [12] complement(top) -> zero
% Current number of equations to process: 33
% Current number of ordered equations: 16
% Current number of rules: 11
% New rule produced :
% [13] composition(A join B,C) -> composition(A,C) join composition(B,C)
% Current number of equations to process: 33
% Current number of ordered equations: 15
% Current number of rules: 12
% New rule produced :
% [14]
% composition(converse(A),complement(composition(A,B))) join complement(B) ->
% complement(B)
% Current number of equations to process: 33
% Current number of ordered equations: 14
% Current number of rules: 13
% New rule produced :
% [15]
% complement(complement(A) join complement(B)) join complement(complement(A) join B)
% -> A
% Current number of equations to process: 33
% Current number of ordered equations: 13
% Current number of rules: 14
% New rule produced : [16] sk1 join top -> top
% Current number of equations to process: 33
% Current number of ordered equations: 10
% Current number of rules: 15
% New rule produced : [17] sk2 join complement(sk1) -> sk2 join top
% Current number of equations to process: 33
% Current number of ordered equations: 9
% Current number of rules: 16
% New rule produced : [18] sk3 join complement(sk1) -> sk3 join top
% Current number of equations to process: 33
% Current number of ordered equations: 8
% Current number of rules: 17
% New rule produced : [19] converse(sk2) join converse(sk1) -> converse(sk2)
% Current number of equations to process: 33
% Current number of ordered equations: 7
% Current number of rules: 18
% New rule produced : [20] converse(sk3) join converse(sk1) -> converse(sk3)
% Current number of equations to process: 33
% Current number of ordered equations: 6
% Current number of rules: 19
% New rule produced : [21] top join complement(complement(A)) -> top join A
% Current number of equations to process: 33
% Current number of ordered equations: 5
% Current number of rules: 20
% New rule produced :
% [22] converse(complement(A)) join converse(A) -> converse(top)
% Current number of equations to process: 33
% Current number of ordered equations: 4
% Current number of rules: 21
% New rule produced :
% [23] converse(composition(B,converse(A))) <-> composition(A,converse(B))
% Current number of equations to process: 33
% Current number of ordered equations: 3
% Current number of rules: 22
% New rule produced :
% [24] converse(composition(converse(B),A)) <-> composition(converse(A),B)
% Current number of equations to process: 33
% Current number of ordered equations: 2
% Current number of rules: 23
% New rule produced :
% [25] composition(A,converse(B)) <-> converse(composition(B,converse(A)))
% Current number of equations to process: 33
% Current number of ordered equations: 1
% Current number of rules: 24
% New rule produced :
% [26] composition(converse(A),B) <-> converse(composition(converse(B),A))
% Current number of equations to process: 33
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [27] composition(A,composition(one,B)) -> composition(A,B)
% Current number of equations to process: 35
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced : [28] zero join top -> top
% Current number of equations to process: 41
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [29] composition(sk2,A) join composition(sk1,A) -> composition(sk2,A)
% Current number of equations to process: 58
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [30] composition(sk3,A) join composition(sk1,A) -> composition(sk3,A)
% Current number of equations to process: 57
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [31] sk2 join complement(sk1 join A) join A -> sk2 join top
% Current number of equations to process: 55
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [32] sk3 join complement(sk1 join A) join A -> sk3 join top
% Current number of equations to process: 54
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [33] composition(complement(B),A) join composition(B,A) -> composition(top,A)
% Current number of equations to process: 53
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [34] top join composition(converse(A),complement(composition(A,B))) -> top
% Current number of equations to process: 52
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [35] top join complement(A join B) join B -> top join complement(A)
% Current number of equations to process: 51
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [36]
% composition(A,converse(composition(B,C))) <->
% composition(composition(A,converse(C)),converse(B))
% Current number of equations to process: 50
% Current number of ordered equations: 1
% Current number of rules: 35
% New rule produced :
% [37]
% composition(composition(A,converse(C)),converse(B)) <->
% composition(A,converse(composition(B,C)))
% Current number of equations to process: 50
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [38]
% composition(converse(B),composition(converse(A),C)) <->
% composition(converse(composition(A,B)),C)
% Current number of equations to process: 49
% Current number of ordered equations: 1
% Current number of rules: 37
% New rule produced :
% [39]
% composition(converse(composition(A,B)),C) <->
% composition(converse(B),composition(converse(A),C))
% Current number of equations to process: 49
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [40] top join complement(complement(A join B) join B) -> top join A
% Current number of equations to process: 46
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [41]
% composition(A,composition(composition(B,C),V_3)) <->
% composition(composition(A,B),composition(C,V_3))
% Current number of equations to process: 43
% Current number of ordered equations: 1
% Current number of rules: 40
% New rule produced :
% [42]
% composition(composition(A,B),composition(C,V_3)) <->
% composition(A,composition(composition(B,C),V_3))
% Current number of equations to process: 43
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [43]
% composition(A,composition(composition(B,C),V_3)) <->
% composition(composition(composition(A,B),C),V_3)
% Current number of equations to process: 40
% Current number of ordered equations: 5
% Current number of rules: 42
% New rule produced :
% [44]
% composition(A,composition(B,composition(C,V_3))) <->
% composition(composition(A,composition(B,C)),V_3)
% Current number of equations to process: 40
% Current number of ordered equations: 4
% Current number of rules: 43
% New rule produced :
% [45]
% composition(A,composition(B,composition(C,V_3))) <->
% composition(composition(composition(A,B),C),V_3)
% Current number of equations to process: 40
% Current number of ordered equations: 3
% Current number of rules: 44
% New rule produced :
% [46]
% composition(composition(A,composition(B,C)),V_3) <->
% composition(A,composition(B,composition(C,V_3)))
% Current number of equations to process: 40
% Current number of ordered equations: 2
% Current number of rules: 45
% New rule produced :
% [47]
% composition(composition(composition(A,B),C),V_3) <->
% composition(A,composition(composition(B,C),V_3))
% Current number of equations to process: 40
% Current number of ordered equations: 1
% Current number of rules: 46
% New rule produced :
% [48]
% composition(composition(composition(A,B),C),V_3) <->
% composition(A,composition(B,composition(C,V_3)))
% Current number of equations to process: 40
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [49]
% composition(composition(A,composition(B,C)),V_3) <->
% composition(composition(A,B),composition(C,V_3))
% Current number of equations to process: 39
% Current number of ordered equations: 1
% Current number of rules: 48
% New rule produced :
% [50]
% composition(composition(A,B),composition(C,V_3)) <->
% composition(composition(A,composition(B,C)),V_3)
% Current number of equations to process: 39
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [51]
% composition(converse(A),complement(A)) join complement(one) ->
% complement(one)
% Current number of equations to process: 47
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [52]
% zero join composition(converse(A),complement(composition(A,top))) -> zero
% Current number of equations to process: 52
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [53] zero join complement(complement(A) join complement(A)) -> A
% Current number of equations to process: 80
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [54] top join complement(complement(A) join B) -> top join complement(B)
% Rule [40] top join complement(complement(A join B) join B) -> top join A
% collapsed.
% Current number of equations to process: 79
% Current number of ordered equations: 1
% Current number of rules: 52
% New rule produced : [55] top join A <-> top join complement(B)
% Rule [21] top join complement(complement(A)) -> top join A collapsed.
% Rule
% [34] top join composition(converse(A),complement(composition(A,B))) -> top
% collapsed.
% Rule [35] top join complement(A join B) join B -> top join complement(A)
% collapsed.
% Rule [54] top join complement(complement(A) join B) -> top join complement(B)
% collapsed.
% Current number of equations to process: 80
% Current number of ordered equations: 2
% Current number of rules: 49
% Rule [55] top join A <-> top join complement(B) is composed into [55]
% top join A
% -> top
% New rule produced : [56] top join complement(B) -> top
% Current number of equations to process: 79
% Current number of ordered equations: 1
% Current number of rules: 50
% New rule produced :
% [57] zero join complement(complement(complement(A)) join A) -> complement(A)
% Current number of equations to process: 78
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced : [58] complement(complement(A)) -> A
% Rule
% [57] zero join complement(complement(complement(A)) join A) -> complement(A)
% collapsed.
% Current number of equations to process: 77
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced : [59] zero join complement(A join A) -> complement(A)
% Rule [53] zero join complement(complement(A) join complement(A)) -> A
% collapsed.
% Current number of equations to process: 76
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [60]
% converse(composition(C,A join B)) ->
% converse(composition(C,A)) join converse(composition(C,B))
% Current number of equations to process: 74
% Current number of ordered equations: 1
% Current number of rules: 52
% New rule produced :
% [61]
% composition(converse(A),converse(B) join converse(C)) ->
% converse(composition(B,A)) join converse(composition(C,A))
% Current number of equations to process: 74
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [62]
% composition(A,complement(composition(converse(A),B))) join complement(B) ->
% complement(B)
% Current number of equations to process: 73
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [63]
% converse(complement(A join B)) join converse(A) join converse(B) ->
% converse(top)
% Current number of equations to process: 69
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced : [64] zero join complement(zero join complement(A)) -> A
% Current number of equations to process: 83
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [65]
% 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: 57
% New rule produced :
% [66] 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: 58
% New rule produced : [67] converse(sk1) join converse(top) -> converse(top)
% Current number of equations to process: 92
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [68] converse(sk2) join converse(complement(sk1)) -> converse(top)
% Current number of equations to process: 96
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [69] composition(sk1,A) join composition(top,A) -> composition(top,A)
% Current number of equations to process: 98
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [70] converse(sk3) join converse(complement(sk1)) -> converse(top)
% Current number of equations to process: 104
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [71] zero join complement(complement(sk2) join complement(sk1)) -> sk1
% Current number of equations to process: 106
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced : [72] converse(sk2) join complement(converse(sk1)) -> top
% Current number of equations to process: 113
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [73] zero join complement(complement(sk3) join complement(sk1)) -> sk1
% Current number of equations to process: 115
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced : [74] converse(top) join converse(A) -> converse(top)
% Rule [67] converse(sk1) join converse(top) -> converse(top) collapsed.
% Current number of equations to process: 113
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced : [75] converse(sk3) join complement(converse(sk1)) -> top
% Current number of equations to process: 116
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced : [76] converse(top) join complement(converse(A)) -> top
% Current number of equations to process: 127
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [77] converse(complement(converse(A))) join A -> converse(top)
% Current number of equations to process: 126
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [78]
% composition(sk2,A) join composition(complement(sk1),A) -> composition(top,A)
% Current number of equations to process: 126
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [79]
% composition(sk3,A) join composition(complement(sk1),A) -> composition(top,A)
% Current number of equations to process: 125
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced : [80] composition(converse(one),A) -> A
% Current number of equations to process: 134
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [81]
% converse(composition(converse(A),B)) <->
% composition(converse(composition(one,B)),A)
% Current number of equations to process: 179
% Current number of ordered equations: 1
% Current number of rules: 72
% New rule produced :
% [82]
% composition(converse(composition(one,B)),A) <->
% converse(composition(converse(A),B))
% Current number of equations to process: 179
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [83] composition(zero,A) join composition(top,A) -> composition(top,A)
% Current number of equations to process: 178
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [84] composition(sk2,A) join complement(composition(sk1,A)) -> top
% Current number of equations to process: 177
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [85]
% composition(A,converse(composition(B,converse(one)))) ->
% composition(A,converse(B))
% Current number of equations to process: 179
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [86]
% converse(composition(converse(composition(one,A)),B)) <->
% composition(converse(B),A)
% Current number of equations to process: 178
% Current number of ordered equations: 1
% Current number of rules: 77
% New rule produced :
% [87]
% composition(converse(B),A) <->
% converse(composition(converse(composition(one,A)),B))
% Current number of equations to process: 178
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [88]
% composition(A,composition(composition(one,B),C)) ->
% composition(A,composition(B,C))
% Current number of equations to process: 177
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [89]
% converse(composition(A,composition(B,converse(C)))) <->
% composition(C,converse(composition(A,B)))
% Current number of equations to process: 172
% Current number of ordered equations: 1
% Current number of rules: 80
% New rule produced :
% [90]
% composition(C,converse(composition(A,B))) <->
% converse(composition(A,composition(B,converse(C))))
% Current number of equations to process: 172
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [91]
% converse(composition(composition(converse(A),B),C)) <->
% composition(converse(composition(B,C)),A)
% Current number of equations to process: 171
% Current number of ordered equations: 1
% Current number of rules: 82
% New rule produced :
% [92]
% composition(converse(composition(B,C)),A) <->
% converse(composition(composition(converse(A),B),C))
% Current number of equations to process: 171
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [93]
% composition(A,converse(composition(B,converse(C)))) <->
% composition(composition(A,C),converse(B))
% Current number of equations to process: 170
% Current number of ordered equations: 1
% Current number of rules: 84
% New rule produced :
% [94]
% composition(composition(A,C),converse(B)) <->
% composition(A,converse(composition(B,converse(C))))
% Current number of equations to process: 170
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [95]
% converse(composition(C,converse(composition(A,B)))) <->
% composition(A,composition(B,converse(C)))
% Current number of equations to process: 168
% Current number of ordered equations: 3
% Current number of rules: 86
% New rule produced :
% [96]
% composition(A,composition(B,converse(C))) <->
% converse(composition(C,converse(composition(A,B))))
% Current number of equations to process: 168
% Current number of ordered equations: 2
% Current number of rules: 87
% New rule produced :
% [97]
% composition(B,composition(converse(A),C)) <->
% composition(converse(composition(A,converse(B))),C)
% Current number of equations to process: 168
% Current number of ordered equations: 1
% Current number of rules: 88
% New rule produced :
% [98]
% composition(converse(composition(A,converse(B))),C) <->
% composition(B,composition(converse(A),C))
% Current number of equations to process: 168
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [99]
% converse(composition(converse(composition(B,C)),A)) <->
% composition(composition(converse(A),B),C)
% Current number of equations to process: 166
% Current number of ordered equations: 3
% Current number of rules: 90
% New rule produced :
% [100]
% composition(A,converse(composition(converse(B),C))) <->
% composition(composition(A,converse(C)),B)
% Current number of equations to process: 166
% Current number of ordered equations: 2
% Current number of rules: 91
% New rule produced :
% [101]
% composition(composition(converse(A),B),C) <->
% converse(composition(converse(composition(B,C)),A))
% Current number of equations to process: 166
% Current number of ordered equations: 1
% Current number of rules: 92
% New rule produced :
% [102]
% composition(composition(A,converse(C)),B) <->
% composition(A,converse(composition(converse(B),C)))
% Current number of equations to process: 166
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [103]
% composition(converse(B),composition(A,C)) <->
% composition(converse(composition(converse(A),B)),C)
% Current number of equations to process: 165
% Current number of ordered equations: 1
% Current number of rules: 94
% New rule produced :
% [104]
% composition(converse(composition(converse(A),B)),C) <->
% composition(converse(B),composition(A,C))
% Current number of equations to process: 165
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [105] composition(sk3,A) join complement(composition(sk1,A)) -> top
% Current number of equations to process: 179
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced : [106] sk2 join complement(sk1 join sk1) -> top
% Current number of equations to process: 193
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [107]
% zero join complement(complement(sk2 join A) join complement(sk1)) -> sk1
% Current number of equations to process: 206
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [108]
% zero join complement(complement(sk3 join A) join complement(sk1)) -> sk1
% Current number of equations to process: 205
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [109] converse(sk2) join complement(converse(sk1) join A) join A -> top
% Current number of equations to process: 204
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [110] converse(sk3) join complement(converse(sk1) join A) join A -> top
% Current number of equations to process: 203
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [111] converse(top) join complement(converse(A) join B) join B -> top
% Current number of equations to process: 202
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [112]
% converse(composition(C,composition(B,converse(A)))) <->
% composition(composition(A,converse(B)),converse(C))
% Current number of equations to process: 200
% Current number of ordered equations: 3
% Current number of rules: 103
% New rule produced :
% [113]
% converse(composition(composition(C,converse(B)),A)) <->
% composition(converse(A),composition(B,converse(C)))
% Current number of equations to process: 200
% Current number of ordered equations: 2
% Current number of rules: 104
% New rule produced :
% [114]
% composition(converse(A),composition(B,converse(C))) <->
% converse(composition(composition(C,converse(B)),A))
% Current number of equations to process: 200
% Current number of ordered equations: 1
% Current number of rules: 105
% New rule produced :
% [115]
% composition(composition(A,converse(B)),converse(C)) <->
% converse(composition(C,composition(B,converse(A))))
% Current number of equations to process: 200
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [116]
% converse(composition(C,composition(converse(B),A))) <->
% composition(composition(converse(A),B),converse(C))
% Current number of equations to process: 197
% Current number of ordered equations: 3
% Current number of rules: 107
% New rule produced :
% [117]
% converse(composition(composition(converse(C),B),A)) <->
% composition(converse(A),composition(converse(B),C))
% Current number of equations to process: 197
% Current number of ordered equations: 2
% Current number of rules: 108
% New rule produced :
% [118]
% composition(converse(A),composition(converse(B),C)) <->
% converse(composition(composition(converse(C),B),A))
% Current number of equations to process: 197
% Current number of ordered equations: 1
% Current number of rules: 109
% New rule produced :
% [119]
% composition(composition(converse(A),B),converse(C)) <->
% converse(composition(C,composition(converse(B),A)))
% Current number of equations to process: 197
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [120] sk2 join complement(sk1 join sk1 join A) join A -> top
% Current number of equations to process: 191
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced : [121] sk3 join complement(sk1 join sk1) -> top
% Current number of equations to process: 237
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [122] sk2 join converse(sk2) join complement(sk1 join converse(sk1)) -> top
% Current number of equations to process: 251
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [123] sk2 join converse(sk3) join complement(sk1 join converse(sk1)) -> top
% Current number of equations to process: 250
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [124] sk2 join converse(top) join complement(sk1 join converse(A)) -> top
% Current number of equations to process: 249
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [125] sk3 join complement(sk1 join sk1 join A) join A -> top
% Current number of equations to process: 248
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [126] composition(top,A) join complement(composition(B,A)) -> top
% Current number of equations to process: 310
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [127] sk3 join converse(sk2) join complement(sk1 join converse(sk1)) -> top
% Current number of equations to process: 315
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [128] sk3 join converse(sk3) join complement(sk1 join converse(sk1)) -> top
% Current number of equations to process: 314
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [129] sk3 join converse(top) join complement(sk1 join converse(A)) -> top
% Current number of equations to process: 313
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [130] composition(sk2,A) join composition(top,A) -> composition(top,A)
% Current number of equations to process: 319
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [131] composition(sk3,A) join composition(top,A) -> composition(top,A)
% Current number of equations to process: 320
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [132]
% composition(composition(A,converse(one)),converse(B)) ->
% composition(A,converse(B))
% Current number of equations to process: 341
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [133]
% composition(converse(sk2),A) join composition(converse(sk1),A) ->
% composition(converse(sk2),A)
% Current number of equations to process: 344
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [134]
% composition(converse(sk3),A) join composition(converse(sk1),A) ->
% composition(converse(sk3),A)
% Current number of equations to process: 343
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [135]
% converse(composition(composition(C,converse(B)),converse(A))) <->
% composition(A,composition(B,converse(C)))
% Current number of equations to process: 342
% Current number of ordered equations: 1
% Current number of rules: 126
% New rule produced :
% [136]
% composition(A,composition(B,converse(C))) <->
% converse(composition(composition(C,converse(B)),converse(A)))
% Current number of equations to process: 342
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [137]
% converse(composition(composition(converse(C),B),converse(A))) <->
% composition(A,composition(converse(B),C))
% Current number of equations to process: 341
% Current number of ordered equations: 1
% Current number of rules: 128
% New rule produced :
% [138]
% composition(A,composition(converse(B),C)) <->
% converse(composition(composition(converse(C),B),converse(A)))
% Current number of equations to process: 341
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [139]
% converse(composition(converse(C),composition(B,converse(A)))) <->
% composition(composition(A,converse(B)),C)
% Current number of equations to process: 340
% Current number of ordered equations: 1
% Current number of rules: 130
% New rule produced :
% [140]
% composition(composition(A,converse(B)),C) <->
% converse(composition(converse(C),composition(B,converse(A))))
% Current number of equations to process: 340
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [141]
% converse(composition(converse(C),composition(converse(B),A))) <->
% composition(composition(converse(A),B),C)
% Current number of equations to process: 339
% Current number of ordered equations: 1
% Current number of rules: 132
% New rule produced :
% [142]
% composition(composition(converse(A),B),C) <->
% converse(composition(converse(C),composition(converse(B),A)))
% Current number of equations to process: 339
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [143]
% converse(composition(sk2,A)) join converse(composition(sk1,A)) ->
% converse(composition(sk2,A))
% Current number of equations to process: 338
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [144]
% converse(composition(sk3,A)) join converse(composition(sk1,A)) ->
% converse(composition(sk3,A))
% Current number of equations to process: 337
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [145]
% converse(composition(composition(A,B),converse(C))) <->
% composition(composition(C,converse(B)),converse(A))
% Current number of equations to process: 352
% Current number of ordered equations: 1
% Current number of rules: 136
% New rule produced :
% [146]
% composition(composition(C,converse(B)),converse(A)) <->
% converse(composition(composition(A,B),converse(C)))
% Current number of equations to process: 352
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [147]
% converse(composition(composition(A,converse(B)),converse(C))) <->
% composition(composition(C,B),converse(A))
% Current number of equations to process: 351
% Current number of ordered equations: 1
% Current number of rules: 138
% New rule produced :
% [148]
% composition(composition(C,B),converse(A)) <->
% converse(composition(composition(A,converse(B)),converse(C)))
% Current number of equations to process: 351
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [149]
% converse(composition(A,converse(composition(B,C)))) <->
% composition(B,converse(composition(A,converse(C))))
% Current number of equations to process: 367
% Current number of ordered equations: 1
% Current number of rules: 140
% New rule produced :
% [150]
% composition(B,converse(composition(A,converse(C)))) <->
% converse(composition(A,converse(composition(B,C))))
% Current number of equations to process: 367
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [151]
% converse(composition(A,converse(composition(B,converse(C))))) <->
% composition(B,converse(composition(A,C)))
% Current number of equations to process: 366
% Current number of ordered equations: 1
% Current number of rules: 142
% New rule produced :
% [152]
% composition(B,converse(composition(A,C))) <->
% converse(composition(A,converse(composition(B,converse(C)))))
% Current number of equations to process: 366
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [153]
% converse(composition(converse(composition(A,B)),C)) <->
% composition(converse(composition(converse(A),C)),B)
% Current number of equations to process: 381
% Current number of ordered equations: 1
% Current number of rules: 144
% New rule produced :
% [154]
% composition(converse(composition(converse(A),C)),B) <->
% converse(composition(converse(composition(A,B)),C))
% Current number of equations to process: 381
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [155]
% converse(composition(converse(composition(converse(A),B)),C)) <->
% composition(converse(composition(A,C)),B)
% Current number of equations to process: 380
% Current number of ordered equations: 1
% Current number of rules: 146
% New rule produced :
% [156]
% composition(converse(composition(A,C)),B) <->
% converse(composition(converse(composition(converse(A),B)),C))
% Current number of equations to process: 380
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [157]
% converse(composition(converse(A),composition(B,C))) <->
% composition(converse(C),composition(converse(B),A))
% Current number of equations to process: 400
% Current number of ordered equations: 1
% Current number of rules: 148
% New rule produced :
% [158]
% composition(converse(C),composition(converse(B),A)) <->
% converse(composition(converse(A),composition(B,C)))
% Current number of equations to process: 400
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [159]
% converse(composition(converse(A),composition(converse(B),C))) <->
% composition(converse(C),composition(B,A))
% Current number of equations to process: 401
% Current number of ordered equations: 1
% Current number of rules: 150
% New rule produced :
% [160]
% composition(converse(C),composition(B,A)) <->
% converse(composition(converse(A),composition(converse(B),C)))
% Current number of equations to process: 401
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [161]
% composition(A,complement(converse(A))) join complement(one) ->
% complement(one)
% Current number of equations to process: 926
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [162]
% converse(composition(converse(zero),top)) join complement(one) ->
% complement(one)
% Current number of equations to process: 925
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [163]
% complement(one) join complement(composition(converse(A),complement(A))) ->
% top
% Current number of equations to process: 927
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced : [164] zero join one -> one
% Current number of equations to process: 930
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [165]
% zero join composition(A,complement(composition(converse(A),top))) -> zero
% Current number of equations to process: 958
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [166]
% zero join complement(composition(converse(A),complement(composition(A,top))))
% -> top
% Current number of equations to process: 957
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [167] composition(top,A) join composition(B,A) -> composition(top,A)
% Rule [69] composition(sk1,A) join composition(top,A) -> composition(top,A)
% collapsed.
% Rule [83] composition(zero,A) join composition(top,A) -> composition(top,A)
% collapsed.
% Rule [130] composition(sk2,A) join composition(top,A) -> composition(top,A)
% collapsed.
% Rule [131] composition(sk3,A) join composition(top,A) -> composition(top,A)
% collapsed.
% Current number of equations to process: 974
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced : [168] complement(zero) -> top
% Current number of equations to process: 974
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [169]
% composition(converse(A),complement(composition(A,complement(B)))) join B -> B
% Current number of equations to process: 975
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [170] complement(complement(A join A) join A) -> zero join zero
% Current number of equations to process: 1000
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [171] complement(zero join A) join complement(B) join A -> top
% Current number of equations to process: 1001
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [172]
% converse(zero) join converse(complement(A join A)) -> converse(complement(A))
% Current number of equations to process: 1000
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced : [173] A join A <-> zero join A
% Current number of equations to process: 1005
% Current number of ordered equations: 1
% Current number of rules: 160
% New rule produced : [174] zero join A <-> A join A
% Current number of equations to process: 1005
% Current number of ordered equations: 0
% Current number of rules: 161
% Rule [170] complement(complement(A join A) join A) -> zero join zero is composed into
% [170] complement(complement(A join A) join A) -> zero
% New rule produced : [175] zero join zero -> zero
% Current number of equations to process: 1029
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [176]
% converse(composition(converse(A),complement(A))) join complement(one) ->
% complement(one)
% Current number of equations to process: 1027
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [177]
% complement(A join A) join complement(B) <->
% complement(B join B) join complement(A)
% Current number of equations to process: 1026
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [178] complement(complement(A join A) join A join B) -> zero
% Current number of equations to process: 1025
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [179] composition(A,B join C) -> composition(A,B) join composition(A,C)
% Rule
% [60]
% converse(composition(C,A join B)) ->
% converse(composition(C,A)) join converse(composition(C,B)) collapsed.
% Rule
% [61]
% composition(converse(A),converse(B) join converse(C)) ->
% converse(composition(B,A)) join converse(composition(C,A)) collapsed.
% Current number of equations to process: 1056
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [180]
% 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
% [66] complement(zero join complement(A)) join complement(zero join A) -> top
% collapsed.
% Current number of equations to process: 1077
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [181]
% composition(A,complement(composition(converse(A),complement(B)))) join B -> B
% Current number of equations to process: 1110
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [182] converse(top) join complement(converse(A) join converse(B)) -> top
% Current number of equations to process: 1125
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [183]
% composition(converse(B),complement(composition(B,top))) join complement(A) ->
% complement(A)
% Current number of equations to process: 1135
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [184]
% converse(composition(A,sk2)) join converse(composition(A,sk1)) ->
% converse(composition(A,sk2))
% Current number of equations to process: 1134
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [185]
% converse(composition(A,sk3)) join converse(composition(A,sk1)) ->
% converse(composition(A,sk3))
% Current number of equations to process: 1133
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [186]
% composition(sk1,complement(composition(converse(sk2),A))) join complement(A)
% -> complement(A)
% Current number of equations to process: 1132
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [187]
% composition(sk1,complement(composition(converse(sk3),A))) join complement(A)
% -> complement(A)
% Current number of equations to process: 1131
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [188]
% converse(composition(converse(A),complement(A))) join converse(complement(one))
% -> converse(complement(one))
% Current number of equations to process: 1157
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [189]
% complement(composition(A,complement(composition(converse(A),B)))) join
% complement(B) -> top
% Current number of equations to process: 1154
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [190]
% complement(converse(complement(A join A)) join converse(A)) ->
% zero join complement(converse(top))
% Current number of equations to process: 1152
% Current number of ordered equations: 0
% Current number of rules: 173
% Rule [190]
% complement(converse(complement(A join A)) join converse(A)) ->
% zero join complement(converse(top)) is composed into [190]
% complement(
% converse(complement(
% A join A)) join
% converse(A)) ->
% zero join complement(top)
% Rule [77] converse(complement(converse(A))) join A -> converse(top) is composed into
% [77] converse(complement(converse(A))) join A -> top
% Rule [70] converse(sk3) join converse(complement(sk1)) -> converse(top) is composed into
% [70] converse(sk3) join converse(complement(sk1)) -> top
% Rule [68] converse(sk2) join converse(complement(sk1)) -> converse(top) is composed into
% [68] converse(sk2) join converse(complement(sk1)) -> top
% Rule [63]
% converse(complement(A join B)) join converse(A) join converse(B) ->
% converse(top) is composed into [63]
% converse(complement(A join B)) join
% converse(A) join converse(B) -> top
% Rule [22] converse(complement(A)) join converse(A) -> converse(top) is composed into
% [22] converse(complement(A)) join converse(A) -> top
% New rule produced : [191] converse(top) -> top
% Rule [74] converse(top) join converse(A) -> converse(top) collapsed.
% Rule [76] converse(top) join complement(converse(A)) -> top collapsed.
% Rule [111] converse(top) join complement(converse(A) join B) join B -> top
% collapsed.
% Rule
% [124] sk2 join converse(top) join complement(sk1 join converse(A)) -> top
% collapsed.
% Rule
% [129] sk3 join converse(top) join complement(sk1 join converse(A)) -> top
% collapsed.
% Rule [182] converse(top) join complement(converse(A) join converse(B)) -> top
% collapsed.
% Current number of equations to process: 1153
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced : [192] complement(zero join A) join A join B -> top
% Rule [171] complement(zero join A) join complement(B) join A -> top
% collapsed.
% Current number of equations to process: 1157
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced : [193] zero join complement(zero join A) -> complement(A)
% Rule [64] zero join complement(zero join complement(A)) -> A collapsed.
% Current number of equations to process: 1172
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [194] composition(converse(B),complement(composition(B,top))) join A -> A
% Rule
% [52]
% zero join composition(converse(A),complement(composition(A,top))) -> zero
% collapsed.
% Rule
% [183]
% composition(converse(B),complement(composition(B,top))) join complement(A) ->
% complement(A) collapsed.
% Current number of equations to process: 1171
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced : [195] complement(zero join A) join A -> top
% Rule [192] complement(zero join A) join A join B -> top collapsed.
% Current number of equations to process: 1171
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [196]
% converse(zero) join converse(complement(zero join complement(A))) ->
% converse(A)
% Current number of equations to process: 1200
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [197] sk1 join complement(sk1 join complement(sk2)) -> sk2 join sk2
% Current number of equations to process: 1265
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [198] sk1 join complement(sk1 join complement(sk3)) -> sk3 join sk3
% Current number of equations to process: 1264
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced : [199] zero join A join A -> zero join A
% Current number of equations to process: 1473
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [200]
% complement(zero join complement(A)) join complement(B) ->
% complement(B) join A
% Current number of equations to process: 1471
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [201] complement(complement(sk2) join A) join complement(sk1) join A -> top
% Current number of equations to process: 1470
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [202] complement(complement(sk3) join A) join complement(sk1) join A -> top
% Current number of equations to process: 1469
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [203] sk1 join sk1 join complement(sk2) -> sk1 join complement(sk2)
% Current number of equations to process: 1588
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced : [204] sk2 join converse(complement(converse(sk1))) -> top
% Current number of equations to process: 1590
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [205] sk1 join complement(zero join complement(A)) -> sk1 join A
% Current number of equations to process: 1592
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [206]
% zero join complement(sk2) join complement(sk1) -> zero join complement(sk1)
% Current number of equations to process: 1591
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [207] sk1 join sk1 join complement(sk3) -> sk1 join complement(sk3)
% Current number of equations to process: 1629
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced : [208] sk3 join converse(complement(converse(sk1))) -> top
% Current number of equations to process: 1633
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [209]
% zero join complement(sk3) join complement(sk1) -> zero join complement(sk1)
% Current number of equations to process: 1635
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [210] converse(complement(converse(zero))) join complement(A) -> top
% Current number of equations to process: 1669
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [211] sk1 join converse(complement(converse(zero))) -> top
% Current number of equations to process: 1684
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [212]
% converse(complement(converse(composition(A,B)))) join composition(top,B) ->
% top
% Current number of equations to process: 1722
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [213]
% converse(complement(converse(composition(sk1,A)))) join composition(sk2,A) ->
% top
% Current number of equations to process: 1721
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [214]
% converse(complement(converse(composition(sk1,A)))) join composition(sk3,A) ->
% top
% Current number of equations to process: 1720
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [215]
% converse(complement(converse(complement(A join A)))) join complement(A) ->
% top
% Current number of equations to process: 1719
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced : [216] converse(one) -> one
% Rule [80] composition(converse(one),A) -> A collapsed.
% Rule
% [85]
% composition(A,converse(composition(B,converse(one)))) ->
% composition(A,converse(B)) collapsed.
% Rule
% [132]
% composition(composition(A,converse(one)),converse(B)) ->
% composition(A,converse(B)) collapsed.
% Current number of equations to process: 1781
% Current number of ordered equations: 0
% Current number of rules: 185
% Rule [87]
% composition(converse(B),A) <->
% converse(composition(converse(composition(one,A)),B)) is composed into
% [87] composition(converse(B),A) <-> converse(composition(converse(A),B))
% Rule [81]
% converse(composition(converse(A),B)) <->
% composition(converse(composition(one,B)),A) is composed into [81]
% converse(
% composition(
% converse(A),B))
% <->
% composition(
% converse(B),A)
% New rule produced : [217] composition(one,A) -> A
% Rule [27] composition(A,composition(one,B)) -> composition(A,B) collapsed.
% Rule
% [82]
% composition(converse(composition(one,B)),A) <->
% converse(composition(converse(A),B)) collapsed.
% Rule
% [86]
% converse(composition(converse(composition(one,A)),B)) <->
% composition(converse(B),A) collapsed.
% Rule
% [88]
% composition(A,composition(composition(one,B),C)) ->
% composition(A,composition(B,C)) collapsed.
% Current number of equations to process: 1780
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [218] composition(complement(one),A) join A -> composition(top,A)
% Current number of equations to process: 1779
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [219]
% converse(composition(sk2,A)) join converse(complement(composition(sk1,A))) ->
% top
% Current number of equations to process: 1897
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [220]
% composition(B,converse(composition(converse(C),A))) <->
% composition(converse(composition(A,converse(B))),C)
% Current number of equations to process: 1896
% Current number of ordered equations: 1
% Current number of rules: 185
% New rule produced :
% [221]
% composition(converse(composition(A,converse(B))),C) <->
% composition(B,converse(composition(converse(C),A)))
% Current number of equations to process: 1896
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [222]
% converse(composition(composition(A,converse(B)),C)) <->
% composition(composition(converse(C),B),converse(A))
% Current number of equations to process: 2110
% Current number of ordered equations: 1
% Current number of rules: 187
% New rule produced :
% [223]
% composition(composition(converse(C),B),converse(A)) <->
% converse(composition(composition(A,converse(B)),C))
% Current number of equations to process: 2110
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [224]
% converse(composition(A,composition(converse(B),C))) <->
% composition(converse(C),composition(B,converse(A)))
% Current number of equations to process: 2223
% Current number of ordered equations: 1
% Current number of rules: 189
% New rule produced :
% [225]
% composition(converse(C),composition(B,converse(A))) <->
% converse(composition(A,composition(converse(B),C)))
% Current number of equations to process: 2223
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [226] converse(sk2) join converse(complement(sk1 join sk1)) -> top
% Current number of equations to process: 2937
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [227]
% converse(composition(sk3,A)) join converse(complement(composition(sk1,A))) ->
% top
% Current number of equations to process: 2952
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [228]
% converse(zero) join converse(complement(complement(sk2) join complement(sk1)))
% -> converse(sk1)
% Current number of equations to process: 2959
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [229]
% converse(zero) join converse(complement(complement(sk3) join complement(sk1)))
% -> converse(sk1)
% Current number of equations to process: 2957
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [230]
% converse(composition(converse(C),composition(B,converse(A)))) <->
% composition(A,composition(converse(B),C))
% Current number of equations to process: 2955
% Current number of ordered equations: 1
% Current number of rules: 195
% New rule produced :
% [231]
% composition(A,composition(converse(B),C)) <->
% converse(composition(converse(C),composition(B,converse(A))))
% Current number of equations to process: 2955
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [232]
% converse(composition(composition(converse(C),B),converse(A))) <->
% composition(composition(A,converse(B)),C)
% Current number of equations to process: 2954
% Current number of ordered equations: 1
% Current number of rules: 197
% New rule produced :
% [233]
% composition(composition(A,converse(B)),C) <->
% converse(composition(composition(converse(C),B),converse(A)))
% Current number of equations to process: 2954
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [234]
% sk1 join sk1 join complement(sk2 join A) -> sk1 join complement(sk2 join A)
% Current number of equations to process: 2996
% Current number of ordered equations: 1
% Current number of rules: 199
% New rule produced :
% [235]
% zero join complement(sk2 join A) join complement(sk1) ->
% zero join complement(sk1)
% Current number of equations to process: 2996
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [236]
% sk1 join sk1 join complement(sk3 join A) -> sk1 join complement(sk3 join A)
% Current number of equations to process: 3092
% Current number of ordered equations: 1
% Current number of rules: 201
% New rule produced :
% [237]
% zero join complement(sk3 join A) join complement(sk1) ->
% zero join complement(sk1)
% Current number of equations to process: 3092
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [238] sk1 join converse(sk2) join complement(zero join converse(sk1)) -> top
% Current number of equations to process: 3222
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [239] sk1 join converse(sk3) join complement(zero join converse(sk1)) -> top
% Current number of equations to process: 3396
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced : [240] sk2 join complement(sk1 join sk1 join sk1) -> top
% Current number of equations to process: 4062
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [241] converse(sk3) join converse(complement(sk1 join sk1)) -> top
% Current number of equations to process: 4247
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced : [242] sk3 join complement(sk1 join sk1 join sk1) -> top
% Current number of equations to process: 4326
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [243]
% converse(composition(top,A)) join converse(complement(composition(B,A))) ->
% top
% Current number of equations to process: 4601
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [244]
% composition(top,converse(A)) join complement(converse(composition(A,B))) ->
% top
% Current number of equations to process: 4600
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [245]
% composition(top,A) join complement(composition(B,composition(C,A))) -> top
% Current number of equations to process: 4599
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [246]
% converse(composition(A,top)) join complement(composition(B,converse(A))) ->
% top
% Current number of equations to process: 4598
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [247]
% composition(top,A) join complement(converse(composition(converse(A),B))) ->
% top
% Current number of equations to process: 4597
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [248]
% composition(converse(sk2),A) join complement(composition(converse(sk1),A)) ->
% top
% Current number of equations to process: 4672
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [249]
% composition(converse(sk1),complement(sk2)) join complement(one) ->
% complement(one)
% Current number of equations to process: 4693
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [250]
% composition(converse(sk1),complement(composition(sk2,A))) join complement(A)
% -> complement(A)
% Current number of equations to process: 4692
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [251]
% composition(converse(sk3),A) join complement(composition(converse(sk1),A)) ->
% top
% Current number of equations to process: 4747
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [252]
% composition(converse(sk1),complement(sk3)) join complement(one) ->
% complement(one)
% Current number of equations to process: 4768
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [253]
% composition(converse(sk1),complement(composition(sk3,A))) join complement(A)
% -> complement(A)
% Current number of equations to process: 4767
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [254]
% converse(composition(sk2,A)) join complement(converse(composition(sk1,A))) ->
% top
% Current number of equations to process: 2377
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [255]
% converse(composition(sk3,A)) join complement(converse(composition(sk1,A))) ->
% top
% Current number of equations to process: 2437
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [256]
% complement(one) join complement(composition(A,complement(converse(A)))) ->
% top
% Current number of equations to process: 4554
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced :
% [257]
% composition(sk1,complement(converse(sk2))) join complement(one) ->
% complement(one)
% Current number of equations to process: 4561
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced :
% [258]
% composition(sk1,complement(converse(sk3))) join complement(one) ->
% complement(one)
% Current number of equations to process: 4560
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced :
% [259]
% complement(one) join complement(composition(sk1,complement(converse(sk2))))
% -> top
% Current number of equations to process: 4610
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [260]
% complement(one) join complement(composition(sk1,complement(converse(sk3))))
% -> top
% Current number of equations to process: 4609
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced :
% [261]
% complement(one) join complement(converse(composition(converse(zero),top))) ->
% top
% Current number of equations to process: 4666
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced :
% [262]
% converse(complement(one)) join composition(converse(zero),top) ->
% converse(complement(one))
% Current number of equations to process: 4665
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced :
% [263] composition(top,zero) join complement(one) -> complement(one)
% Current number of equations to process: 4668
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced :
% [264]
% converse(complement(composition(converse(zero),top))) join complement(one) ->
% top
% Current number of equations to process: 4675
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced :
% [265] complement(one) join complement(composition(top,zero)) -> top
% Current number of equations to process: 4706
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced :
% [266]
% complement(one) join complement(converse(composition(converse(A),complement(A))))
% -> top
% Current number of equations to process: 4713
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced : [267] one join converse(zero) -> one
% Current number of equations to process: 4773
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced : [268] composition(zero,A) join A -> A
% Current number of equations to process: 4775
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced : [269] one join converse(complement(one)) -> top
% Current number of equations to process: 4778
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced :
% [270] one join converse(complement(converse(zero))) -> top
% Current number of equations to process: 4791
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced :
% [271] one join complement(A join A) -> one join complement(A)
% Current number of equations to process: 4801
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [272] one join complement(zero join complement(A)) -> one join A
% Current number of equations to process: 4800
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced :
% [273]
% one join complement(complement(sk2) join complement(sk1)) -> sk1 join one
% Current number of equations to process: 4797
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced :
% [274]
% one join complement(complement(sk3) join complement(sk1)) -> sk1 join one
% Current number of equations to process: 4796
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced :
% [275]
% zero join composition(A,complement(converse(composition(top,A)))) -> zero
% Current number of equations to process: 4829
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [276]
% zero join composition(sk1,complement(composition(converse(sk2),top))) -> zero
% Current number of equations to process: 4828
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced :
% [277]
% zero join composition(sk1,complement(composition(converse(sk3),top))) -> zero
% Current number of equations to process: 4827
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced :
% [278] one join converse(sk2) join complement(zero join converse(sk1)) -> top
% Current number of equations to process: 4828
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced :
% [279] one join converse(sk3) join complement(zero join converse(sk1)) -> top
% Current number of equations to process: 4827
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [280]
% zero join complement(composition(A,complement(composition(converse(A),top))))
% -> top
% Current number of equations to process: 4826
% Current number of ordered equations: 0
% Current number of rules: 245
% Rule [190]
% complement(converse(complement(A join A)) join converse(A)) ->
% zero join complement(top) is composed into [190]
% complement(converse(complement(
% A join A)) join
% converse(A)) ->
% complement(top)
% Rule [173] A join A <-> zero join A is composed into [173] A join A -> A
% New rule produced : [281] zero join A -> A
% Rule [28] zero join top -> top collapsed.
% Rule [59] zero join complement(A join A) -> complement(A) collapsed.
% Rule [71] zero join complement(complement(sk2) join complement(sk1)) -> sk1
% collapsed.
% Rule [73] zero join complement(complement(sk3) join complement(sk1)) -> sk1
% collapsed.
% Rule
% [107]
% zero join complement(complement(sk2 join A) join complement(sk1)) -> sk1
% collapsed.
% Rule
% [108]
% zero join complement(complement(sk3 join A) join complement(sk1)) -> sk1
% collapsed.
% Rule [164] zero join one -> one collapsed.
% Rule
% [165]
% zero join composition(A,complement(composition(converse(A),top))) -> zero
% collapsed.
% Rule
% [166]
% zero join complement(composition(converse(A),complement(composition(A,top))))
% -> top collapsed.
% Rule [174] zero join A <-> A join A collapsed.
% Rule [175] zero join zero -> zero collapsed.
% Rule [193] zero join complement(zero join A) -> complement(A) collapsed.
% Rule [195] complement(zero join A) join A -> top collapsed.
% Rule
% [196]
% converse(zero) join converse(complement(zero join complement(A))) ->
% converse(A) collapsed.
% Rule [199] zero join A join A -> zero join A collapsed.
% Rule
% [200]
% complement(zero join complement(A)) join complement(B) ->
% complement(B) join A collapsed.
% Rule [205] sk1 join complement(zero join complement(A)) -> sk1 join A
% collapsed.
% Rule
% [206]
% zero join complement(sk2) join complement(sk1) -> zero join complement(sk1)
% collapsed.
% Rule
% [209]
% zero join complement(sk3) join complement(sk1) -> zero join complement(sk1)
% collapsed.
% Rule
% [235]
% zero join complement(sk2 join A) join complement(sk1) ->
% zero join complement(sk1) collapsed.
% Rule
% [237]
% zero join complement(sk3 join A) join complement(sk1) ->
% zero join complement(sk1) collapsed.
% Rule
% [238] sk1 join converse(sk2) join complement(zero join converse(sk1)) -> top
% collapsed.
% Rule
% [239] sk1 join converse(sk3) join complement(zero join converse(sk1)) -> top
% collapsed.
% Rule [272] one join complement(zero join complement(A)) -> one join A
% collapsed.
% Rule
% [275]
% zero join composition(A,complement(converse(composition(top,A)))) -> zero
% collapsed.
% Rule
% [276]
% zero join composition(sk1,complement(composition(converse(sk2),top))) -> zero
% collapsed.
% Rule
% [277]
% zero join composition(sk1,complement(composition(converse(sk3),top))) -> zero
% collapsed.
% Rule
% [278] one join converse(sk2) join complement(zero join converse(sk1)) -> top
% collapsed.
% Rule
% [279] one join converse(sk3) join complement(zero join converse(sk1)) -> top
% collapsed.
% Rule
% [280]
% zero join complement(composition(A,complement(composition(converse(A),top))))
% -> top collapsed.
% Current number of equations to process: 4848
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [282] complement(sk2) join complement(sk1) -> complement(sk1)
% Rule
% [228]
% converse(zero) join converse(complement(complement(sk2) join complement(sk1)))
% -> converse(sk1) collapsed.
% Rule
% [273]
% one join complement(complement(sk2) join complement(sk1)) -> sk1 join one
% collapsed.
% Current number of equations to process: 4848
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [283] complement(sk3) join complement(sk1) -> complement(sk1)
% Rule
% [229]
% converse(zero) join converse(complement(complement(sk3) join complement(sk1)))
% -> converse(sk1) collapsed.
% Rule
% [274]
% one join complement(complement(sk3) join complement(sk1)) -> sk1 join one
% collapsed.
% Current number of equations to process: 4847
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [284] composition(A,complement(composition(converse(A),top))) -> zero
% Current number of equations to process: 4845
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [285] composition(A,complement(converse(composition(top,A)))) -> zero
% Current number of equations to process: 4844
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [286] composition(sk1,complement(composition(converse(sk2),top))) -> zero
% Current number of equations to process: 4843
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [287] composition(sk1,complement(composition(converse(sk3),top))) -> zero
% Current number of equations to process: 4842
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced : [288] converse(zero) join converse(A) -> converse(A)
% Rule
% [172]
% converse(zero) join converse(complement(A join A)) -> converse(complement(A))
% collapsed.
% Current number of equations to process: 4841
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [289] complement(sk2 join A) join complement(sk1) -> complement(sk1)
% Current number of equations to process: 4839
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [290] complement(sk3 join A) join complement(sk1) -> complement(sk1)
% Current number of equations to process: 4838
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [291]
% complement(composition(converse(A),complement(composition(A,top)))) -> top
% Current number of equations to process: 4835
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced :
% [292] composition(converse(zero),top) join complement(one) -> complement(one)
% Current number of equations to process: 4955
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced :
% [293] complement(one) join complement(composition(converse(zero),top)) -> top
% Current number of equations to process: 4954
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced :
% [294]
% composition(top,A) join composition(B,composition(C,A)) -> composition(top,A)
% Current number of equations to process: 4981
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [295]
% converse(composition(converse(A),B)) join composition(top,A) ->
% composition(top,A)
% Current number of equations to process: 4980
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced :
% [296]
% sk2 join composition(converse(A),complement(composition(A,complement(sk1))))
% -> sk2
% Current number of equations to process: 4978
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced :
% [297]
% sk3 join composition(converse(A),complement(composition(A,complement(sk1))))
% -> sk3
% Current number of equations to process: 4977
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced :
% [298]
% converse(composition(top,A)) join converse(composition(B,A)) ->
% converse(composition(top,A))
% Current number of equations to process: 3172
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced :
% [299]
% converse(composition(A,B)) join composition(top,converse(A)) ->
% composition(top,converse(A))
% Current number of equations to process: 3171
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced :
% [300]
% composition(top,converse(A)) <->
% converse(composition(A,top)) join composition(B,converse(A))
% Rule
% [244]
% composition(top,converse(A)) join complement(converse(composition(A,B))) ->
% top collapsed.
% Rule
% [299]
% converse(composition(A,B)) join composition(top,converse(A)) ->
% composition(top,converse(A)) collapsed.
% Current number of equations to process: 3173
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced :
% [301]
% converse(composition(A,top)) join composition(B,converse(A)) <->
% converse(composition(A,top)) join composition(sk3,converse(A))
% Current number of equations to process: 3172
% Current number of ordered equations: 1
% Current number of rules: 229
% New rule produced :
% [302]
% converse(composition(A,top)) join composition(sk3,converse(A)) <->
% converse(composition(A,top)) join composition(B,converse(A))
% Current number of equations to process: 3172
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced :
% [303]
% composition(converse(sk1),complement(composition(sk2,complement(A)))) join A
% -> A
% Current number of equations to process: 3286
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [304]
% composition(converse(sk1),complement(composition(sk3,complement(A)))) join A
% -> A
% Current number of equations to process: 3291
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced :
% [305] converse(composition(top,zero)) join complement(one) -> complement(one)
% Current number of equations to process: 3376
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced :
% [306]
% converse(composition(A,complement(converse(A)))) join complement(one) ->
% complement(one)
% Current number of equations to process: 3378
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced :
% [307]
% converse(complement(one)) join composition(converse(A),complement(A)) ->
% converse(complement(one))
% Current number of equations to process: 3391
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced :
% [308]
% converse(complement(composition(converse(A),complement(A)))) join complement(one)
% -> top
% Current number of equations to process: 3390
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [309]
% composition(A,top) join composition(A,complement(B)) -> composition(A,top)
% Current number of equations to process: 3458
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced :
% [310] composition(A,sk2) join composition(A,sk1) -> composition(A,sk2)
% Current number of equations to process: 3473
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced :
% [311] composition(A,sk3) join composition(A,sk1) -> composition(A,sk3)
% Current number of equations to process: 3472
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced :
% [312]
% composition(A,complement(B)) join composition(A,B) -> composition(A,top)
% Current number of equations to process: 3471
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [313] composition(A,sk1) join composition(A,top) -> composition(A,top)
% Current number of equations to process: 3494
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced :
% [314]
% composition(A,sk2) join composition(A,complement(sk1)) -> composition(A,top)
% Current number of equations to process: 3514
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced :
% [315]
% composition(A,sk3) join composition(A,complement(sk1)) -> composition(A,top)
% Current number of equations to process: 3513
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced :
% [316] composition(A,top) join composition(A,B) -> composition(A,top)
% Rule
% [309]
% composition(A,top) join composition(A,complement(B)) -> composition(A,top)
% collapsed.
% Rule [313] composition(A,sk1) join composition(A,top) -> composition(A,top)
% collapsed.
% Current number of equations to process: 3537
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced :
% [317]
% complement(converse(sk2) join complement(converse(complement(sk1)))) ->
% complement(converse(sk2))
% Current number of equations to process: 3701
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced :
% [318]
% complement(converse(complement(sk1)) join complement(converse(sk2))) ->
% complement(converse(complement(sk1)))
% Current number of equations to process: 3700
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [319] complement(complement(A join B) join complement(B)) -> B
% Current number of equations to process: 3731
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [320] complement(complement(complement(A) join B) join A) -> complement(A)
% Current number of equations to process: 3730
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [321]
% complement(sk1 join complement(sk2)) join complement(sk2) -> complement(sk1)
% Current number of equations to process: 3784
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [322]
% complement(sk1 join complement(sk3)) join complement(sk3) -> complement(sk1)
% Current number of equations to process: 3783
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [323]
% complement(sk2 join complement(complement(sk1) join A)) -> complement(sk2)
% Current number of equations to process: 3821
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced :
% [324]
% complement(sk3 join complement(complement(sk1) join A)) -> complement(sk3)
% Current number of equations to process: 3820
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [325]
% complement(converse(A) join complement(converse(complement(A)))) ->
% complement(converse(A))
% Current number of equations to process: 3819
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced :
% [326]
% complement(converse(complement(A)) join complement(converse(A))) ->
% complement(converse(complement(A)))
% Current number of equations to process: 3842
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [327]
% composition(A,converse(sk2)) join composition(A,converse(sk1)) ->
% composition(A,converse(sk2))
% Current number of equations to process: 4065
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced :
% [328]
% composition(A,converse(sk3)) join composition(A,converse(sk1)) ->
% composition(A,converse(sk3))
% Current number of equations to process: 4064
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [329]
% complement(complement(complement(A join B) join B) join A) -> complement(A)
% Current number of equations to process: 4063
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [330]
% complement(sk2 join complement(complement(sk1 join A) join A)) ->
% complement(sk2)
% Current number of equations to process: 4061
% Current number of ordered equations: 1
% Current number of rules: 256
% New rule produced :
% [331]
% complement(complement(sk2 join complement(sk1 join A)) join A) ->
% complement(A)
% Current number of equations to process: 4061
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced :
% [332]
% complement(sk3 join complement(complement(sk1 join A) join A)) ->
% complement(sk3)
% Current number of equations to process: 4059
% Current number of ordered equations: 1
% Current number of rules: 258
% New rule produced :
% [333]
% complement(complement(sk3 join complement(sk1 join A)) join A) ->
% complement(A)
% Current number of equations to process: 4059
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced : [334] complement(A join B) join B -> complement(A) join B
% Rule [31] sk2 join complement(sk1 join A) join A -> sk2 join top collapsed.
% Rule [32] sk3 join complement(sk1 join A) join A -> sk3 join top collapsed.
% Rule
% [65]
% complement(complement(A) join B) join B <->
% complement(complement(B) join A) join A collapsed.
% Rule [109] converse(sk2) join complement(converse(sk1) join A) join A -> top
% collapsed.
% Rule [110] converse(sk3) join complement(converse(sk1) join A) join A -> top
% collapsed.
% Rule [120] sk2 join complement(sk1 join sk1 join A) join A -> top collapsed.
% Rule [125] sk3 join complement(sk1 join sk1 join A) join A -> top collapsed.
% Rule [170] complement(complement(A join A) join A) -> zero collapsed.
% Rule [178] complement(complement(A join A) join A join B) -> zero collapsed.
% Rule [197] sk1 join complement(sk1 join complement(sk2)) -> sk2 join sk2
% collapsed.
% Rule [198] sk1 join complement(sk1 join complement(sk3)) -> sk3 join sk3
% collapsed.
% Rule
% [201] complement(complement(sk2) join A) join complement(sk1) join A -> top
% collapsed.
% Rule
% [202] complement(complement(sk3) join A) join complement(sk1) join A -> top
% collapsed.
% Rule
% [321]
% complement(sk1 join complement(sk2)) join complement(sk2) -> complement(sk1)
% collapsed.
% Rule
% [322]
% complement(sk1 join complement(sk3)) join complement(sk3) -> complement(sk1)
% collapsed.
% Rule
% [329]
% complement(complement(complement(A join B) join B) join A) -> complement(A)
% collapsed.
% Rule
% [330]
% complement(sk2 join complement(complement(sk1 join A) join A)) ->
% complement(sk2) collapsed.
% Rule
% [332]
% complement(sk3 join complement(complement(sk1 join A) join A)) ->
% complement(sk3) collapsed.
% Current number of equations to process: 4170
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced :
% [335]
% complement(complement(converse(sk2)) join complement(converse(sk1))) ->
% converse(sk1)
% Current number of equations to process: 4230
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced :
% [336]
% complement(complement(converse(sk3)) join complement(converse(sk1))) ->
% converse(sk1)
% Current number of equations to process: 4229
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [337]
% complement(complement(converse(complement(converse(A)))) join A) ->
% complement(A)
% Current number of equations to process: 4228
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [338]
% complement(converse(sk3) join complement(converse(complement(sk1)))) ->
% complement(converse(sk3))
% Current number of equations to process: 4227
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [339]
% complement(converse(complement(sk1)) join complement(converse(sk3))) ->
% complement(converse(complement(sk1)))
% Current number of equations to process: 4226
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [340]
% complement(converse(complement(converse(A))) join complement(A)) ->
% complement(converse(complement(converse(A))))
% Current number of equations to process: 4280
% Current number of ordered equations: 1
% Current number of rules: 248
% New rule produced :
% [341]
% converse(complement(converse(complement(A join B)))) join complement(B) ->
% top
% Rule
% [215]
% converse(complement(converse(complement(A join A)))) join complement(A) ->
% top collapsed.
% Current number of equations to process: 4280
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [342] complement(A join B) join complement(A) -> complement(A)
% Rule [319] complement(complement(A join B) join complement(B)) -> B
% collapsed.
% Current number of equations to process: 4607
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [343]
% sk2 join composition(A,complement(composition(converse(A),complement(sk1))))
% -> sk2
% Current number of equations to process: 4730
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced :
% [344]
% sk3 join composition(A,complement(composition(converse(A),complement(sk1))))
% -> sk3
% Current number of equations to process: 4729
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [345]
% composition(sk1,complement(composition(converse(sk2),complement(A)))) join A
% -> A
% Current number of equations to process: 4728
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced :
% [346]
% composition(sk1,complement(composition(converse(sk3),complement(A)))) join A
% -> A
% Current number of equations to process: 4727
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [347]
% complement(complement(converse(sk2) join A) join complement(converse(sk1)))
% -> converse(sk1)
% Current number of equations to process: 4729
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced :
% [348]
% complement(complement(converse(sk3) join A) join complement(converse(sk1)))
% -> converse(sk1)
% Current number of equations to process: 4728
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [349]
% complement(converse(complement(converse(complement(A)))) join A) ->
% complement(converse(complement(converse(complement(A)))))
% Current number of equations to process: 4726
% Current number of ordered equations: 1
% Current number of rules: 255
% New rule produced :
% [350]
% complement(complement(converse(complement(converse(A))) join B) join A) ->
% complement(A)
% Current number of equations to process: 4726
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [351]
% one join complement(composition(A,complement(converse(A)))) ->
% complement(composition(A,complement(converse(A))))
% Current number of equations to process: 4725
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced :
% [352]
% one join complement(converse(composition(converse(zero),top))) ->
% complement(converse(composition(converse(zero),top)))
% Current number of equations to process: 4724
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced :
% [353]
% complement(composition(top,A)) join complement(composition(B,A)) ->
% complement(composition(B,A))
% Current number of equations to process: 4723
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [354]
% converse(composition(A,sk2)) join complement(converse(composition(A,sk1))) ->
% top
% Current number of equations to process: 4919
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced :
% [355]
% converse(composition(A,sk2)) join converse(complement(composition(A,sk1))) ->
% top
% Current number of equations to process: 4931
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced :
% [356]
% converse(composition(A,sk3)) join complement(converse(composition(A,sk1))) ->
% top
% Current number of equations to process: 4981
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced :
% [357]
% converse(composition(A,sk3)) join converse(complement(composition(A,sk1))) ->
% top
% Current number of equations to process: 4995
% Current number of ordered equations: 0
% Current number of rules: 263
% New rule produced :
% [358]
% converse(composition(sk2,sk2)) join converse(composition(sk1,sk1)) ->
% converse(composition(sk2,sk2))
% Current number of equations to process: 837
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced :
% [359]
% converse(composition(sk3,sk2)) join converse(composition(sk1,sk1)) ->
% converse(composition(sk3,sk2))
% Current number of equations to process: 836
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced :
% [360]
% converse(composition(sk2,sk3)) join converse(composition(sk1,sk1)) ->
% converse(composition(sk2,sk3))
% Current number of equations to process: 898
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced :
% [361]
% converse(composition(sk3,sk3)) join converse(composition(sk1,sk1)) ->
% converse(composition(sk3,sk3))
% Current number of equations to process: 897
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [362]
% converse(composition(top,zero)) join converse(complement(one)) ->
% converse(complement(one))
% Current number of equations to process: 998
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced :
% [363]
% composition(converse(sk2),A) join composition(converse(complement(sk1)),A) ->
% composition(top,A)
% Current number of equations to process: 1004
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [364]
% composition(converse(sk3),A) join composition(converse(complement(sk1)),A) ->
% composition(top,A)
% Current number of equations to process: 1003
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [365]
% composition(converse(sk2),A) join composition(complement(converse(sk1)),A) ->
% composition(top,A)
% Current number of equations to process: 1000
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced :
% [366]
% composition(converse(sk3),A) join composition(complement(converse(sk1)),A) ->
% composition(top,A)
% Current number of equations to process: 998
% Current number of ordered equations: 0
% Current number of rules: 272
% New rule produced :
% [367] converse(complement(converse(A) join converse(B))) join A join B -> top
% Current number of equations to process: 996
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [368]
% composition(converse(complement(converse(B))),A) join composition(B,A) ->
% composition(top,A)
% Current number of equations to process: 995
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced :
% [369]
% converse(complement(composition(A,converse(B)))) join composition(B,converse(A))
% -> top
% Current number of equations to process: 994
% Current number of ordered equations: 0
% Current number of rules: 275
% New rule produced :
% [370]
% converse(complement(composition(converse(A),B))) join composition(converse(B),A)
% -> top
% Current number of equations to process: 993
% Current number of ordered equations: 0
% Current number of rules: 276
% New rule produced :
% [371]
% converse(complement(converse(composition(converse(A),complement(A))))) join
% complement(one) -> top
% Current number of equations to process: 992
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced :
% [372]
% composition(sk2,converse(A)) join complement(converse(composition(A,converse(sk1))))
% -> top
% Current number of equations to process: 986
% Current number of ordered equations: 1
% Current number of rules: 278
% New rule produced :
% [373]
% converse(composition(A,converse(sk2))) join complement(composition(sk1,
% converse(A))) -> top
% Current number of equations to process: 986
% Current number of ordered equations: 0
% Current number of rules: 279
% New rule produced :
% [374]
% complement(composition(sk1,complement(composition(converse(sk2),A)))) join
% complement(A) -> top
% Current number of equations to process: 985
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced :
% [375]
% composition(sk3,converse(A)) join complement(converse(composition(A,converse(sk1))))
% -> top
% Current number of equations to process: 983
% Current number of ordered equations: 1
% Current number of rules: 281
% New rule produced :
% [376]
% converse(composition(A,converse(sk3))) join complement(composition(sk1,
% converse(A))) -> top
% Current number of equations to process: 983
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced :
% [377]
% complement(composition(sk1,complement(composition(converse(sk3),A)))) join
% complement(A) -> top
% Current number of equations to process: 982
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced :
% [378]
% sk2 join converse(complement(converse(sk1) join A)) join converse(A) -> top
% Current number of equations to process: 979
% Current number of ordered equations: 0
% Current number of rules: 284
% New rule produced :
% [379]
% sk3 join converse(complement(converse(sk1) join A)) join converse(A) -> top
% Current number of equations to process: 977
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced :
% [380]
% sk2 join converse(sk2) join converse(complement(sk1 join converse(sk1))) ->
% top
% Current number of equations to process: 973
% Current number of ordered equations: 0
% Current number of rules: 286
% New rule produced :
% [381]
% sk3 join converse(sk2) join converse(complement(sk1 join converse(sk1))) ->
% top
% Current number of equations to process: 972
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [382]
% converse(composition(A,top)) join composition(sk3,converse(A)) join complement(
% converse(
% composition(A,
% converse(B))))
% -> top
% Current number of equations to process: 971
% Current number of ordered equations: 0
% Current number of rules: 288
% New rule produced :
% [383]
% sk2 join converse(sk3) join converse(complement(sk1 join converse(sk1))) ->
% top
% Current number of equations to process: 968
% Current number of ordered equations: 0
% Current number of rules: 289
% New rule produced :
% [384]
% sk3 join converse(sk3) join converse(complement(sk1 join converse(sk1))) ->
% top
% Current number of equations to process: 967
% Current number of ordered equations: 0
% Current number of rules: 290
% New rule produced :
% [385]
% converse(composition(A,complement(converse(A)))) join converse(complement(one))
% -> converse(complement(one))
% Current number of equations to process: 963
% Current number of ordered equations: 0
% Current number of rules: 291
% New rule produced :
% [386]
% converse(complement(converse(composition(A,complement(converse(A)))))) join
% complement(one) -> top
% Current number of equations to process: 962
% Current number of ordered equations: 0
% Current number of rules: 292
% New rule produced :
% [387]
% converse(complement(one)) join converse(complement(composition(converse(A),
% complement(A)))) -> top
% Current number of equations to process: 957
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced :
% [388]
% complement(composition(converse(A),complement(composition(A,complement(B))))) join B
% -> top
% Current number of equations to process: 950
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced :
% [389]
% composition(A,converse(sk2)) join composition(A,converse(complement(sk1))) ->
% composition(A,top)
% Current number of equations to process: 949
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced :
% [390]
% composition(A,converse(complement(B))) join composition(A,converse(B)) ->
% composition(A,top)
% Current number of equations to process: 948
% Current number of ordered equations: 0
% Current number of rules: 296
% New rule produced :
% [391]
% composition(A,converse(sk3)) join composition(A,converse(complement(sk1))) ->
% composition(A,top)
% Current number of equations to process: 947
% Current number of ordered equations: 0
% Current number of rules: 297
% New rule produced :
% [392]
% composition(A,converse(sk2)) join composition(A,complement(converse(sk1))) ->
% composition(A,top)
% Current number of equations to process: 946
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [393]
% composition(A,converse(sk3)) join composition(A,complement(converse(sk1))) ->
% composition(A,top)
% Current number of equations to process: 945
% Current number of ordered equations: 0
% Current number of rules: 299
% New rule produced :
% [394]
% composition(A,converse(complement(converse(B)))) join composition(A,B) ->
% composition(A,top)
% Current number of equations to process: 944
% Current number of ordered equations: 0
% Current number of rules: 300
% New rule produced :
% [395]
% complement(converse(sk2) join complement(converse(complement(sk1)) join A))
% -> complement(converse(sk2))
% Current number of equations to process: 943
% Current number of ordered equations: 0
% Current number of rules: 301
% New rule produced :
% [396]
% complement(converse(A) join complement(converse(complement(A)) join B)) ->
% complement(converse(A))
% Current number of equations to process: 941
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced :
% [397]
% complement(complement(sk2 join A) join complement(sk1 join A)) -> sk1 join A
% Current number of equations to process: 940
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced :
% [398]
% complement(complement(sk3 join A) join complement(sk1 join A)) -> sk1 join A
% Current number of equations to process: 939
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced :
% [399]
% complement(converse(sk3) join complement(converse(complement(sk1)) join A))
% -> complement(converse(sk3))
% Current number of equations to process: 937
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced :
% [400]
% complement(converse(sk2) join complement(complement(converse(sk1)) join A))
% -> complement(converse(sk2))
% Current number of equations to process: 936
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced :
% [401]
% complement(converse(sk3) join complement(complement(converse(sk1)) join A))
% -> complement(converse(sk3))
% Current number of equations to process: 935
% Current number of ordered equations: 0
% Current number of rules: 307
% New rule produced :
% [402]
% complement(complement(composition(sk2,A)) join complement(composition(sk1,A)))
% -> composition(sk1,A)
% Current number of equations to process: 933
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [403]
% complement(complement(composition(sk3,A)) join complement(composition(sk1,A)))
% -> composition(sk1,A)
% Current number of equations to process: 932
% Current number of ordered equations: 0
% Current number of rules: 309
% New rule produced :
% [404]
% complement(one join complement(composition(converse(A),complement(A)))) ->
% composition(converse(A),complement(A))
% Current number of equations to process: 930
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced :
% [405]
% complement(composition(A,complement(composition(converse(A),complement(B))))) join B
% -> top
% Current number of equations to process: 929
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced :
% [406]
% composition(A,complement(converse(composition(converse(complement(B)),A)))) join B
% -> B
% Current number of equations to process: 928
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [407]
% complement(composition(sk1,complement(composition(converse(sk2),complement(A))))) join A
% -> top
% Current number of equations to process: 927
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [408]
% complement(composition(sk1,complement(composition(converse(sk3),complement(A))))) join A
% -> top
% Current number of equations to process: 925
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [409]
% converse(complement(one)) join complement(converse(composition(converse(A),
% complement(A)))) -> top
% Current number of equations to process: 922
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced :
% [410]
% converse(composition(converse(zero),top)) join converse(complement(one)) ->
% converse(complement(one))
% Current number of equations to process: 964
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced :
% [411]
% complement(composition(converse(A),complement(composition(A,B)))) join
% complement(B) -> top
% Current number of equations to process: 1020
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced :
% [412] composition(converse(A),top) -> converse(composition(top,A))
% Rule
% [162]
% converse(composition(converse(zero),top)) join complement(one) ->
% complement(one) collapsed.
% Rule
% [261]
% complement(one) join complement(converse(composition(converse(zero),top))) ->
% top collapsed.
% Rule
% [262]
% converse(complement(one)) join composition(converse(zero),top) ->
% converse(complement(one)) collapsed.
% Rule
% [264]
% converse(complement(composition(converse(zero),top))) join complement(one) ->
% top collapsed.
% Rule [284] composition(A,complement(composition(converse(A),top))) -> zero
% collapsed.
% Rule
% [286] composition(sk1,complement(composition(converse(sk2),top))) -> zero
% collapsed.
% Rule
% [287] composition(sk1,complement(composition(converse(sk3),top))) -> zero
% collapsed.
% Rule
% [292] composition(converse(zero),top) join complement(one) -> complement(one)
% collapsed.
% Rule
% [293] complement(one) join complement(composition(converse(zero),top)) -> top
% collapsed.
% Rule
% [352]
% one join complement(converse(composition(converse(zero),top))) ->
% complement(converse(composition(converse(zero),top))) collapsed.
% Rule
% [410]
% converse(composition(converse(zero),top)) join converse(complement(one)) ->
% converse(complement(one)) collapsed.
% Current number of equations to process: 1144
% Current number of ordered equations: 0
% Current number of rules: 307
% New rule produced :
% [413] composition(sk1,complement(converse(composition(top,sk2)))) -> zero
% Current number of equations to process: 1180
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [414] composition(sk1,complement(converse(composition(top,sk3)))) -> zero
% Current number of equations to process: 1179
% Current number of ordered equations: 0
% Current number of rules: 309
% New rule produced :
% [415] complement(one) join complement(converse(composition(top,zero))) -> top
% Current number of equations to process: 1178
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced :
% [416]
% composition(composition(A,converse(B)),top) ->
% composition(A,converse(composition(top,B)))
% Current number of equations to process: 1177
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced :
% [417]
% composition(converse(A),composition(top,B)) <->
% composition(converse(composition(top,A)),B)
% Current number of equations to process: 1175
% Current number of ordered equations: 3
% Current number of rules: 312
% New rule produced :
% [418]
% composition(converse(composition(top,A)),B) <->
% composition(converse(A),composition(top,B))
% Current number of equations to process: 1175
% Current number of ordered equations: 2
% Current number of rules: 313
% New rule produced :
% [419]
% composition(A,converse(composition(B,top))) <->
% composition(composition(A,top),converse(B))
% Current number of equations to process: 1175
% Current number of ordered equations: 1
% Current number of rules: 314
% New rule produced :
% [420]
% composition(composition(A,top),converse(B)) <->
% composition(A,converse(composition(B,top)))
% Current number of equations to process: 1175
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced :
% [421]
% composition(top,composition(converse(A),B)) ->
% composition(converse(composition(A,top)),B)
% Current number of equations to process: 1174
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced :
% [422]
% converse(complement(converse(composition(top,zero)))) join complement(one) ->
% top
% Current number of equations to process: 1170
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced :
% [423] composition(top,complement(composition(top,complement(A)))) join A -> A
% Current number of equations to process: 1169
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced :
% [424]
% composition(top,complement(composition(top,A))) join complement(A) ->
% complement(A)
% Current number of equations to process: 1168
% Current number of ordered equations: 0
% Current number of rules: 319
% New rule produced :
% [425]
% converse(composition(composition(B,top),converse(A))) <->
% composition(composition(A,top),converse(B))
% Current number of equations to process: 1163
% Current number of ordered equations: 1
% Current number of rules: 320
% New rule produced :
% [426]
% composition(composition(A,top),converse(B)) <->
% converse(composition(composition(B,top),converse(A)))
% Current number of equations to process: 1163
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced :
% [427]
% converse(composition(B,converse(composition(A,top)))) <->
% composition(A,converse(composition(B,top)))
% Current number of equations to process: 1161
% Current number of ordered equations: 1
% Current number of rules: 322
% New rule produced :
% [428]
% composition(A,converse(composition(B,top))) <->
% converse(composition(B,converse(composition(A,top))))
% Current number of equations to process: 1161
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced :
% [429]
% converse(composition(converse(composition(top,B)),A)) <->
% composition(converse(composition(top,A)),B)
% Current number of equations to process: 1159
% Current number of ordered equations: 1
% Current number of rules: 324
% New rule produced :
% [430]
% composition(converse(composition(top,A)),B) <->
% converse(composition(converse(composition(top,B)),A))
% Current number of equations to process: 1159
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced :
% [431]
% converse(composition(converse(B),composition(top,A))) <->
% composition(converse(A),composition(top,B))
% Current number of equations to process: 1156
% Current number of ordered equations: 1
% Current number of rules: 326
% New rule produced :
% [432]
% composition(converse(A),composition(top,B)) <->
% converse(composition(converse(B),composition(top,A)))
% Current number of equations to process: 1156
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced :
% [433]
% converse(complement(one)) join composition(top,zero) ->
% converse(complement(one))
% Current number of equations to process: 1154
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [434]
% converse(composition(sk3,converse(A))) join composition(A,top) ->
% composition(A,top)
% Current number of equations to process: 1153
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [435]
% complement(composition(top,complement(composition(top,A)))) join complement(A)
% -> top
% Current number of equations to process: 1151
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [436] composition(converse(sk1),complement(composition(sk2,top))) join A -> A
% Current number of equations to process: 1166
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced :
% [437] composition(converse(sk1),complement(composition(sk3,top))) join A -> A
% Current number of equations to process: 1167
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced :
% [438] composition(top,complement(composition(top,top))) join A -> A
% Current number of equations to process: 1168
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [439]
% complement(sk2 join complement(converse(complement(converse(sk1))))) ->
% complement(sk2)
% Current number of equations to process: 1192
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced :
% [440]
% complement(sk3 join complement(converse(complement(converse(sk1))))) ->
% complement(sk3)
% Current number of equations to process: 1215
% Current number of ordered equations: 0
% Current number of rules: 335
% New rule produced : [441] converse(complement(converse(zero))) -> top
% Rule [210] converse(complement(converse(zero))) join complement(A) -> top
% collapsed.
% Rule [211] sk1 join converse(complement(converse(zero))) -> top collapsed.
% Rule [270] one join converse(complement(converse(zero))) -> top collapsed.
% Current number of equations to process: 1219
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [442] converse(complement(A)) join complement(converse(zero)) -> top
% Current number of equations to process: 1217
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced :
% [443]
% converse(complement(converse(composition(converse(A),complement(composition(A,top))))))
% -> top
% Current number of equations to process: 1216
% Current number of ordered equations: 0
% Current number of rules: 335
% New rule produced :
% [444]
% composition(converse(sk1),complement(composition(sk2,top))) ->
% composition(converse(sk2),complement(composition(sk2,top)))
% Rule
% [436] composition(converse(sk1),complement(composition(sk2,top))) join A -> A
% collapsed.
% Current number of equations to process: 1215
% Current number of ordered equations: 0
% Current number of rules: 335
% New rule produced :
% [445]
% composition(converse(sk1),complement(composition(sk3,top))) ->
% composition(converse(sk3),complement(composition(sk3,top)))
% Rule
% [437] composition(converse(sk1),complement(composition(sk3,top))) join A -> A
% collapsed.
% Current number of equations to process: 1214
% Current number of ordered equations: 0
% Current number of rules: 335
% Rule [444]
% composition(converse(sk1),complement(composition(sk2,top))) ->
% composition(converse(sk2),complement(composition(sk2,top))) is composed into
% [444]
% composition(converse(sk1),complement(composition(sk2,top))) ->
% composition(converse(sk3),complement(composition(sk3,top)))
% New rule produced :
% [446]
% composition(converse(A),complement(composition(A,top))) <->
% composition(converse(B),complement(composition(B,top)))
% Current number of equations to process: 1213
% Current number of ordered equations: 0
% Current number of rules: 336
% New rule produced :
% [447]
% complement(converse(complement(converse(sk1))) join complement(sk2)) ->
% complement(converse(complement(converse(sk1))))
% Current number of equations to process: 1212
% Current number of ordered equations: 0
% Current number of rules: 337
% New rule produced :
% [448]
% complement(converse(complement(converse(sk1))) join complement(sk3)) ->
% complement(converse(complement(converse(sk1))))
% Current number of equations to process: 1211
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced :
% [449]
% one join complement(composition(top,zero)) ->
% complement(composition(top,zero))
% Current number of equations to process: 1209
% Current number of ordered equations: 0
% Current number of rules: 339
% Rule [301]
% converse(composition(A,top)) join composition(B,converse(A)) <->
% converse(composition(A,top)) join composition(sk3,converse(A)) is composed into
% [301]
% converse(composition(A,top)) join composition(B,converse(A)) ->
% converse(composition(A,top))
% New rule produced :
% [450]
% converse(composition(A,top)) join composition(sk3,converse(A)) ->
% converse(composition(A,top))
% Rule
% [302]
% converse(composition(A,top)) join composition(sk3,converse(A)) <->
% converse(composition(A,top)) join composition(B,converse(A)) collapsed.
% Rule
% [382]
% converse(composition(A,top)) join composition(sk3,converse(A)) join complement(
% converse(
% composition(A,
% converse(B))))
% -> top collapsed.
% Current number of equations to process: 1209
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced :
% [451]
% composition(complement(converse(A)),complement(composition(A,top))) ->
% composition(top,complement(composition(A,top)))
% Current number of equations to process: 1208
% Current number of ordered equations: 0
% Current number of rules: 339
% New rule produced :
% [452]
% complement(sk2 join complement(converse(complement(converse(sk1))) join A))
% -> complement(sk2)
% Current number of equations to process: 1207
% Current number of ordered equations: 0
% Current number of rules: 340
% New rule produced :
% [453]
% complement(sk3 join complement(converse(complement(converse(sk1))) join A))
% -> complement(sk3)
% Current number of equations to process: 1206
% Current number of ordered equations: 0
% Current number of rules: 341
% New rule produced :
% [454]
% converse(composition(top,A)) join complement(converse(composition(B,A))) ->
% top
% Current number of equations to process: 1250
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced :
% [455]
% converse(composition(A,top)) join converse(complement(composition(A,B))) ->
% top
% Current number of equations to process: 1249
% Current number of ordered equations: 0
% Current number of rules: 343
% New rule produced :
% [456]
% converse(complement(composition(converse(A),B))) join composition(top,A) ->
% top
% Current number of equations to process: 1248
% Current number of ordered equations: 0
% Current number of rules: 344
% New rule produced :
% [457] converse(complement(one)) join complement(one) -> complement(one)
% Current number of equations to process: 1408
% Current number of ordered equations: 0
% Current number of rules: 345
% New rule produced : [458] composition(top,A) join complement(A) -> top
% Current number of equations to process: 1409
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced : [459] composition(top,A) join A -> composition(top,A)
% Current number of equations to process: 1410
% Current number of ordered equations: 0
% Current number of rules: 347
% New rule produced :
% [460] converse(complement(converse(A))) join composition(top,A) -> top
% Current number of equations to process: 1414
% Current number of ordered equations: 0
% Current number of rules: 348
% New rule produced :
% [461] converse(sk3) join composition(top,complement(converse(sk1))) -> top
% Current number of equations to process: 1424
% Current number of ordered equations: 1
% Current number of rules: 349
% New rule produced :
% [462] converse(composition(sk3,top)) join complement(converse(sk1)) -> top
% Current number of equations to process: 1424
% Current number of ordered equations: 0
% Current number of rules: 350
% New rule produced : [463] composition(top,complement(A)) join A -> top
% Current number of equations to process: 1431
% Current number of ordered equations: 0
% Current number of rules: 351
% New rule produced :
% [464] composition(top,top) join complement(A) -> composition(top,top)
% Current number of equations to process: 1430
% Current number of ordered equations: 0
% Current number of rules: 352
% New rule produced :
% [465]
% converse(sk1) join converse(composition(sk3,top)) ->
% converse(composition(sk3,top))
% Current number of equations to process: 1433
% Current number of ordered equations: 0
% Current number of rules: 353
% New rule produced :
% [466] sk1 join composition(top,sk2) -> composition(top,sk2)
% Current number of equations to process: 1443
% Current number of ordered equations: 0
% Current number of rules: 354
% New rule produced :
% [467] sk1 join composition(top,sk3) -> composition(top,sk3)
% Current number of equations to process: 1442
% Current number of ordered equations: 0
% Current number of rules: 355
% New rule produced :
% [468]
% sk2 join composition(complement(one),sk1) -> sk2 join composition(top,sk1)
% Current number of equations to process: 1446
% Current number of ordered equations: 0
% Current number of rules: 356
% New rule produced :
% [469]
% sk3 join composition(complement(one),sk1) -> sk3 join composition(top,sk1)
% Current number of equations to process: 1445
% Current number of ordered equations: 0
% Current number of rules: 357
% New rule produced :
% [470] sk1 join composition(top,top) -> composition(top,top)
% Current number of equations to process: 1449
% Current number of ordered equations: 0
% Current number of rules: 358
% New rule produced : [471] sk2 join composition(top,complement(sk1)) -> top
% Current number of equations to process: 1451
% Current number of ordered equations: 1
% Current number of rules: 359
% New rule produced : [472] composition(top,sk2) join complement(sk1) -> top
% Current number of equations to process: 1451
% Current number of ordered equations: 0
% Current number of rules: 360
% New rule produced : [473] sk3 join composition(top,complement(sk1)) -> top
% Current number of equations to process: 1453
% Current number of ordered equations: 1
% Current number of rules: 361
% New rule produced : [474] composition(top,sk3) join complement(sk1) -> top
% Current number of equations to process: 1453
% Current number of ordered equations: 0
% Current number of rules: 362
% New rule produced :
% [475] converse(composition(A,top)) join converse(complement(A)) -> top
% Current number of equations to process: 1466
% Current number of ordered equations: 0
% Current number of rules: 363
% New rule produced : [476] composition(top,top) -> top
% Rule [438] composition(top,complement(composition(top,top))) join A -> A
% collapsed.
% Rule [464] composition(top,top) join complement(A) -> composition(top,top)
% collapsed.
% Rule [470] sk1 join composition(top,top) -> composition(top,top) collapsed.
% Current number of equations to process: 1477
% Current number of ordered equations: 0
% Current number of rules: 361
% New rule produced : [477] composition(top,zero) join A -> A
% Rule [263] composition(top,zero) join complement(one) -> complement(one)
% collapsed.
% Rule
% [433]
% converse(complement(one)) join composition(top,zero) ->
% converse(complement(one)) collapsed.
% Current number of equations to process: 1475
% Current number of ordered equations: 0
% Current number of rules: 360
% New rule produced :
% [478] converse(composition(sk3,top)) join converse(complement(sk1)) -> top
% Current number of equations to process: 1480
% Current number of ordered equations: 0
% Current number of rules: 361
% New rule produced :
% [479] converse(sk2) join composition(top,complement(converse(sk1))) -> top
% Current number of equations to process: 1479
% Current number of ordered equations: 0
% Current number of rules: 362
% New rule produced :
% [480] converse(complement(converse(sk1))) join composition(top,sk2) -> top
% Current number of equations to process: 1601
% Current number of ordered equations: 0
% Current number of rules: 363
% New rule produced :
% [481] converse(complement(converse(sk1))) join composition(top,sk3) -> top
% Current number of equations to process: 1600
% Current number of ordered equations: 0
% Current number of rules: 364
% New rule produced :
% [482]
% composition(top,composition(complement(one),A)) join A -> composition(top,A)
% Current number of equations to process: 1607
% Current number of ordered equations: 0
% Current number of rules: 365
% New rule produced :
% [483]
% converse(composition(complement(one),A)) join converse(A) ->
% converse(composition(top,A))
% Current number of equations to process: 1606
% Current number of ordered equations: 0
% Current number of rules: 366
% New rule produced :
% [484] one join converse(complement(one join A)) join converse(A) -> top
% Current number of equations to process: 1605
% Current number of ordered equations: 0
% Current number of rules: 367
% New rule produced :
% [485]
% composition(top,composition(sk2,A)) join complement(composition(sk1,A)) ->
% top
% Current number of equations to process: 1602
% Current number of ordered equations: 1
% Current number of rules: 368
% New rule produced :
% [486]
% composition(sk2,A) join composition(top,complement(composition(sk1,A))) ->
% top
% Current number of equations to process: 1602
% Current number of ordered equations: 0
% Current number of rules: 369
% New rule produced :
% [487]
% composition(top,composition(sk3,A)) join complement(composition(sk1,A)) ->
% top
% Current number of equations to process: 1594
% Current number of ordered equations: 1
% Current number of rules: 370
% New rule produced :
% [488]
% composition(sk3,A) join composition(top,complement(composition(sk1,A))) ->
% top
% Current number of equations to process: 1594
% Current number of ordered equations: 0
% Current number of rules: 371
% New rule produced :
% [489]
% composition(top,complement(composition(A,B))) join composition(top,B) -> top
% Current number of equations to process: 1592
% Current number of ordered equations: 1
% Current number of rules: 372
% New rule produced :
% [490]
% composition(top,composition(top,A)) join complement(composition(B,A)) -> top
% Current number of equations to process: 1592
% Current number of ordered equations: 0
% Current number of rules: 373
% New rule produced :
% [491]
% converse(composition(A,converse(complement(one)))) join converse(A) ->
% converse(composition(A,top))
% Current number of equations to process: 1589
% Current number of ordered equations: 0
% Current number of rules: 374
% New rule produced :
% [492]
% converse(composition(sk2,sk2)) join converse(complement(composition(sk1,sk1)))
% -> top
% Current number of equations to process: 1632
% Current number of ordered equations: 0
% Current number of rules: 375
% New rule produced :
% [493]
% converse(composition(sk2,sk3)) join converse(complement(composition(sk1,sk1)))
% -> top
% Current number of equations to process: 1633
% Current number of ordered equations: 0
% Current number of rules: 376
% New rule produced :
% [494]
% converse(composition(sk3,sk2)) join converse(complement(composition(sk1,sk1)))
% -> top
% Current number of equations to process: 2616
% Current number of ordered equations: 0
% Current number of rules: 377
% New rule produced :
% [495]
% converse(composition(sk3,sk3)) join converse(complement(composition(sk1,sk1)))
% -> top
% Current number of equations to process: 2617
% Current number of ordered equations: 0
% Current number of rules: 378
% New rule produced :
% [496]
% converse(complement(converse(composition(A,B)))) join composition(A,top) ->
% top
% Current number of equations to process: 3431
% Current number of ordered equations: 0
% Current number of rules: 379
% New rule produced :
% [497]
% converse(complement(composition(A,converse(B)))) join composition(B,top) ->
% top
% Current number of equations to process: 3430
% Current number of ordered equations: 0
% Current number of rules: 380
% New rule produced :
% [498]
% converse(composition(top,sk2)) join converse(complement(composition(A,sk1)))
% -> top
% Current number of equations to process: 3492
% Current number of ordered equations: 0
% Current number of rules: 381
% New rule produced :
% [499]
% converse(composition(top,sk3)) join converse(complement(composition(A,sk1)))
% -> top
% Current number of equations to process: 3493
% Current number of ordered equations: 0
% Current number of rules: 382
% New rule produced :
% [500] converse(composition(top,A)) join converse(complement(A)) -> top
% Current number of equations to process: 3494
% Current number of ordered equations: 0
% Current number of rules: 383
% New rule produced :
% [501]
% converse(composition(A,top)) join complement(converse(composition(A,B))) ->
% top
% Current number of equations to process: 3670
% Current number of ordered equations: 0
% Current number of rules: 384
% New rule produced :
% [502]
% converse(composition(sk2,top)) join complement(composition(A,converse(sk1)))
% -> top
% Current number of equations to process: 3715
% Current number of ordered equations: 0
% Current number of rules: 385
% New rule produced :
% [503]
% converse(composition(sk3,top)) join complement(composition(A,converse(sk1)))
% -> top
% Current number of equations to process: 3718
% Current number of ordered equations: 0
% Current number of rules: 386
% New rule produced :
% [504] converse(composition(A,top)) join complement(converse(A)) -> top
% Current number of equations to process: 3740
% Current number of ordered equations: 0
% Current number of rules: 387
% New rule produced :
% [505]
% complement(one) join complement(composition(converse(sk1),complement(sk2)))
% -> top
% Current number of equations to process: 3825
% Current number of ordered equations: 0
% Current number of rules: 388
% New rule produced :
% [506]
% one join complement(composition(converse(sk1),complement(sk2))) ->
% complement(composition(converse(sk1),complement(sk2)))
% Current number of equations to process: 3927
% Current number of ordered equations: 0
% Current number of rules: 389
% New rule produced :
% [507]
% complement(one) join complement(composition(converse(sk1),complement(sk3)))
% -> top
% Current number of equations to process: 3983
% Current number of ordered equations: 0
% Current number of rules: 390
% New rule produced :
% [508]
% one join complement(composition(converse(sk1),complement(sk3))) ->
% complement(composition(converse(sk1),complement(sk3)))
% Current number of equations to process: 4084
% Current number of ordered equations: 0
% Current number of rules: 391
% New rule produced :
% [509]
% converse(composition(sk2,sk2)) join complement(converse(composition(sk1,sk1)))
% -> top
% Current number of equations to process: 4176
% Current number of ordered equations: 0
% Current number of rules: 392
% New rule produced :
% [510]
% converse(composition(sk2,sk3)) join complement(converse(composition(sk1,sk1)))
% -> top
% Current number of equations to process: 4177
% Current number of ordered equations: 0
% Current number of rules: 393
% New rule produced :
% [511]
% converse(composition(sk3,sk2)) join complement(converse(composition(sk1,sk1)))
% -> top
% Current number of equations to process: 4224
% Current number of ordered equations: 0
% Current number of rules: 394
% New rule produced :
% [512]
% converse(composition(sk3,sk3)) join complement(converse(composition(sk1,sk1)))
% -> top
% Current number of equations to process: 4225
% Current number of ordered equations: 0
% Current number of rules: 395
% New rule produced :
% [513]
% converse(complement(one)) join converse(complement(composition(top,zero))) ->
% top
% Current number of equations to process: 4460
% Current number of ordered equations: 0
% Current number of rules: 396
% New rule produced :
% [514]
% composition(top,complement(one)) join complement(composition(top,zero)) ->
% top
% Current number of equations to process: 4458
% Current number of ordered equations: 1
% Current number of rules: 397
% New rule produced :
% [515]
% composition(top,complement(composition(top,zero))) join complement(one) ->
% top
% Current number of equations to process: 4458
% Current number of ordered equations: 0
% Current number of rules: 398
% New rule produced :
% [516]
% one join complement(composition(sk1,complement(converse(sk2)))) ->
% complement(composition(sk1,complement(converse(sk2))))
% Current number of equations to process: 4459
% Current number of ordered equations: 0
% Current number of rules: 399
% New rule produced :
% [517]
% one join complement(composition(sk1,complement(converse(sk3)))) ->
% complement(composition(sk1,complement(converse(sk3))))
% Current number of equations to process: 4458
% Current number of ordered equations: 0
% Current number of rules: 400
% New rule produced :
% [518]
% complement(one) join complement(converse(composition(A,complement(converse(A)))))
% -> top
% Current number of equations to process: 4473
% Current number of ordered equations: 0
% Current number of rules: 401
% New rule produced :
% [519] complement(one) join complement(converse(complement(one))) -> top
% Current number of equations to process: 4529
% Current number of ordered equations: 0
% Current number of rules: 402
% New rule produced : [520] one join complement(converse(zero)) -> top
% Current number of equations to process: 4541
% Current number of ordered equations: 0
% Current number of rules: 403
% New rule produced : [521] composition(converse(zero),A) join A -> A
% Current number of equations to process: 4542
% Current number of ordered equations: 0
% Current number of rules: 404
% New rule produced : [522] composition(A,converse(zero)) join A -> A
% Current number of equations to process: 4548
% Current number of ordered equations: 0
% Current number of rules: 405
% New rule produced :
% [523]
% complement(one) join complement(converse(zero)) -> complement(converse(zero))
% Current number of equations to process: 4563
% Current number of ordered equations: 0
% Current number of rules: 406
% New rule produced : [524] complement(composition(zero,A)) join A -> top
% Current number of equations to process: 4566
% Current number of ordered equations: 0
% Current number of rules: 407
% New rule produced :
% [525] converse(sk3) join composition(zero,converse(sk1)) -> converse(sk3)
% Current number of equations to process: 4567
% Current number of ordered equations: 0
% Current number of rules: 408
% New rule produced : [526] sk2 join composition(zero,sk1) -> sk2
% Current number of equations to process: 4569
% Current number of ordered equations: 0
% Current number of rules: 409
% New rule produced : [527] sk3 join composition(zero,sk1) -> sk3
% Current number of equations to process: 4568
% Current number of ordered equations: 0
% Current number of rules: 410
% New rule produced :
% [528] converse(composition(zero,A)) join converse(A) -> converse(A)
% Current number of equations to process: 4584
% Current number of ordered equations: 0
% Current number of rules: 411
% New rule produced :
% [529] converse(sk2) join composition(zero,converse(sk1)) -> converse(sk2)
% Current number of equations to process: 4583
% Current number of ordered equations: 0
% Current number of rules: 412
% New rule produced : [530] one join composition(zero,converse(zero)) -> one
% Current number of equations to process: 4631
% Current number of ordered equations: 0
% Current number of rules: 413
% New rule produced : [531] composition(zero,composition(zero,A)) join A -> A
% Current number of equations to process: 4630
% Current number of ordered equations: 0
% Current number of rules: 414
% New rule produced :
% [532] converse(complement(converse(composition(zero,A)))) join A -> top
% Current number of equations to process: 4627
% Current number of ordered equations: 0
% Current number of rules: 415
% New rule produced : [533] complement(converse(complement(one))) -> one
% Rule [519] complement(one) join complement(converse(complement(one))) -> top
% collapsed.
% Current number of equations to process: 4648
% Current number of ordered equations: 0
% Current number of rules: 415
% New rule produced :
% [534] composition(converse(complement(one)),A) join A -> composition(top,A)
% Current number of equations to process: 4647
% Current number of ordered equations: 0
% Current number of rules: 416
% New rule produced :
% [535] composition(A,converse(complement(one))) join A -> composition(A,top)
% Current number of equations to process: 4646
% Current number of ordered equations: 0
% Current number of rules: 417
% New rule produced :
% [536]
% complement(converse(complement(one)) join A) ->
% complement(complement(one) join A)
% Current number of equations to process: 4645
% Current number of ordered equations: 0
% Current number of rules: 418
% New rule produced :
% [537] converse(composition(A,converse(zero))) join converse(A) -> converse(A)
% Current number of equations to process: 4644
% Current number of ordered equations: 0
% Current number of rules: 419
% New rule produced :
% [538]
% complement(composition(zero,A)) join complement(A) ->
% complement(composition(zero,A))
% Current number of equations to process: 4643
% Current number of ordered equations: 0
% Current number of rules: 420
% New rule produced :
% [539]
% complement(one join A) join complement(converse(zero)) ->
% complement(converse(zero))
% Current number of equations to process: 4642
% Current number of ordered equations: 0
% Current number of rules: 421
% New rule produced :
% [540]
% complement(composition(zero,complement(A))) join A ->
% complement(composition(zero,complement(A)))
% Current number of equations to process: 4641
% Current number of ordered equations: 0
% Current number of rules: 422
% Rule [445]
% composition(converse(sk1),complement(composition(sk3,top))) ->
% composition(converse(sk3),complement(composition(sk3,top))) is composed into
% [445] composition(converse(sk1),complement(composition(sk3,top))) -> zero
% Rule [444]
% composition(converse(sk1),complement(composition(sk2,top))) ->
% composition(converse(sk3),complement(composition(sk3,top))) is composed into
% [444] composition(converse(sk1),complement(composition(sk2,top))) -> zero
% New rule produced :
% [541] composition(converse(A),complement(composition(A,top))) -> zero
% Rule
% [194] composition(converse(B),complement(composition(B,top))) join A -> A
% collapsed.
% Rule
% [291]
% complement(composition(converse(A),complement(composition(A,top)))) -> top
% collapsed.
% Rule
% [443]
% converse(complement(converse(composition(converse(A),complement(composition(A,top))))))
% -> top collapsed.
% Rule
% [446]
% composition(converse(A),complement(composition(A,top))) <->
% composition(converse(B),complement(composition(B,top))) collapsed.
% Current number of equations to process: 4640
% Current number of ordered equations: 0
% Current number of rules: 419
% New rule produced :
% [542] composition(complement(one),zero) -> composition(top,zero)
% Current number of equations to process: 4643
% Current number of ordered equations: 0
% Current number of rules: 420
% New rule produced : [543] composition(zero,zero) -> zero
% Current number of equations to process: 4643
% Current number of ordered equations: 0
% Current number of rules: 421
% New rule produced :
% [544] composition(zero,B) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 4641
% Current number of ordered equations: 0
% Current number of rules: 422
% New rule produced :
% [545] composition(A,zero) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 4640
% Current number of ordered equations: 0
% Current number of rules: 423
% New rule produced : [546] sk2 join complement(complement(sk1) join A) -> sk2
% Rule
% [323]
% complement(sk2 join complement(complement(sk1) join A)) -> complement(sk2)
% collapsed.
% Current number of equations to process: 4666
% Current number of ordered equations: 0
% Current number of rules: 423
% New rule produced :
% [547]
% converse(complement(sk2)) join converse(complement(sk1)) ->
% converse(complement(sk1))
% Current number of equations to process: 4671
% Current number of ordered equations: 0
% Current number of rules: 424
% New rule produced :
% [548]
% converse(complement(converse(complement(sk2)))) join complement(sk1) -> top
% Current number of equations to process: 4670
% Current number of ordered equations: 0
% Current number of rules: 425
% New rule produced :
% [549]
% composition(zero,complement(sk2)) join complement(sk1) -> complement(sk1)
% Current number of equations to process: 4681
% Current number of ordered equations: 0
% Current number of rules: 426
% New rule produced : [550] sk3 join complement(complement(sk1) join A) -> sk3
% Rule
% [324]
% complement(sk3 join complement(complement(sk1) join A)) -> complement(sk3)
% collapsed.
% Current number of equations to process: 4707
% Current number of ordered equations: 0
% Current number of rules: 426
% New rule produced :
% [551]
% converse(complement(sk3)) join converse(complement(sk1)) ->
% converse(complement(sk1))
% Current number of equations to process: 4710
% Current number of ordered equations: 0
% Current number of rules: 427
% New rule produced :
% [552]
% converse(complement(converse(complement(sk3)))) join complement(sk1) -> top
% Current number of equations to process: 4709
% Current number of ordered equations: 0
% Current number of rules: 428
% New rule produced :
% [553]
% composition(zero,complement(sk3)) join complement(sk1) -> complement(sk1)
% Current number of equations to process: 4720
% Current number of ordered equations: 0
% Current number of rules: 429
% New rule produced :
% [554]
% composition(top,complement(sk1)) join complement(sk2) ->
% composition(top,complement(sk1))
% Current number of equations to process: 4719
% Current number of ordered equations: 0
% Current number of rules: 430
% New rule produced :
% [555]
% composition(top,complement(sk1)) join complement(sk3) ->
% composition(top,complement(sk1))
% Current number of equations to process: 4718
% Current number of ordered equations: 0
% Current number of rules: 431
% New rule produced :
% [556]
% converse(composition(converse(B),A)) <->
% converse(zero) join composition(converse(A),B)
% Current number of equations to process: 4768
% Current number of ordered equations: 1
% Current number of rules: 432
% New rule produced :
% [557]
% converse(zero) join composition(converse(A),B) <->
% converse(composition(converse(B),A))
% Current number of equations to process: 4768
% Current number of ordered equations: 0
% Current number of rules: 433
% New rule produced : [558] converse(A) join complement(converse(zero)) -> top
% Rule [442] converse(complement(A)) join complement(converse(zero)) -> top
% collapsed.
% Current number of equations to process: 4769
% Current number of ordered equations: 0
% Current number of rules: 433
% Rule [556]
% converse(composition(converse(B),A)) <->
% converse(zero) join composition(converse(A),B) is composed into
% [556] converse(composition(converse(B),A)) <-> composition(converse(A),B)
% New rule produced : [559] converse(zero) join A -> A
% Rule [267] one join converse(zero) -> one collapsed.
% Rule [288] converse(zero) join converse(A) -> converse(A) collapsed.
% Rule
% [557]
% converse(zero) join composition(converse(A),B) <->
% converse(composition(converse(B),A)) collapsed.
% Current number of equations to process: 4769
% Current number of ordered equations: 0
% Current number of rules: 431
% New rule produced :
% [560]
% complement(sk1) join complement(composition(top,sk2)) -> complement(sk1)
% Current number of equations to process: 4802
% Current number of ordered equations: 0
% Current number of rules: 432
% New rule produced :
% [561]
% complement(sk1) join complement(composition(top,sk3)) -> complement(sk1)
% Current number of equations to process: 4838
% Current number of ordered equations: 0
% Current number of rules: 433
% New rule produced :
% [562]
% composition(zero,complement(A join B)) join complement(B) -> complement(B)
% Current number of equations to process: 4839
% Current number of ordered equations: 0
% Current number of rules: 434
% New rule produced :
% [563]
% complement(composition(top,sk2) join A) join complement(sk1) ->
% complement(sk1)
% Current number of equations to process: 4837
% Current number of ordered equations: 0
% Current number of rules: 435
% New rule produced :
% [564]
% composition(zero,complement(sk2 join A)) join complement(sk1) ->
% complement(sk1)
% Current number of equations to process: 4836
% Current number of ordered equations: 0
% Current number of rules: 436
% New rule produced :
% [565]
% complement(composition(top,sk3) join A) join complement(sk1) ->
% complement(sk1)
% Current number of equations to process: 4835
% Current number of ordered equations: 0
% Current number of rules: 437
% New rule produced :
% [566]
% composition(zero,complement(sk3 join A)) join complement(sk1) ->
% complement(sk1)
% Current number of equations to process: 4834
% Current number of ordered equations: 0
% Current number of rules: 438
% New rule produced :
% [567]
% composition(composition(zero,A),B) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 4832
% Current number of ordered equations: 0
% Current number of rules: 439
% New rule produced :
% [568]
% composition(sk2,A) join composition(zero,composition(sk1,A)) ->
% composition(sk2,A)
% Current number of equations to process: 4831
% Current number of ordered equations: 0
% Current number of rules: 440
% New rule produced :
% [569]
% composition(sk3,A) join composition(zero,composition(sk1,A)) ->
% composition(sk3,A)
% Current number of equations to process: 4830
% Current number of ordered equations: 0
% Current number of rules: 441
% New rule produced :
% [570]
% composition(A,composition(zero,B)) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 4828
% Current number of ordered equations: 0
% Current number of rules: 442
% New rule produced :
% [571]
% composition(composition(A,B),complement(converse(composition(top,B)))) ->
% composition(A,zero)
% Current number of equations to process: 4822
% Current number of ordered equations: 0
% Current number of rules: 443
% New rule produced :
% [572]
% composition(B,composition(complement(converse(composition(top,B))),A)) ->
% composition(zero,A)
% Current number of equations to process: 4821
% Current number of ordered equations: 0
% Current number of rules: 444
% New rule produced :
% [573]
% converse(complement(sk2 join A)) join converse(complement(sk1)) ->
% converse(complement(sk1))
% Current number of equations to process: 4820
% Current number of ordered equations: 0
% Current number of rules: 445
% New rule produced :
% [574]
% converse(complement(converse(complement(sk2 join A)))) join complement(sk1)
% -> top
% Current number of equations to process: 4819
% Current number of ordered equations: 0
% Current number of rules: 446
% New rule produced :
% [575]
% complement(complement(sk2) join A) join complement(sk1) ->
% complement(sk1) join complement(A)
% Current number of equations to process: 4818
% Current number of ordered equations: 0
% Current number of rules: 447
% New rule produced :
% [576]
% converse(complement(sk3 join A)) join converse(complement(sk1)) ->
% converse(complement(sk1))
% Current number of equations to process: 4817
% Current number of ordered equations: 0
% Current number of rules: 448
% New rule produced :
% [577]
% converse(complement(converse(complement(sk3 join A)))) join complement(sk1)
% -> top
% Current number of equations to process: 4816
% Current number of ordered equations: 0
% Current number of rules: 449
% New rule produced :
% [578]
% complement(complement(sk3) join A) join complement(sk1) ->
% complement(sk1) join complement(A)
% Current number of equations to process: 4815
% Current number of ordered equations: 0
% Current number of rules: 450
% New rule produced :
% [579]
% complement(A join B) join complement(composition(zero,A)) ->
% complement(composition(zero,A))
% Current number of equations to process: 4815
% Current number of ordered equations: 0
% Current number of rules: 451
% New rule produced :
% [580]
% composition(converse(A),complement(composition(A,sk2))) join complement(sk1)
% -> complement(sk1)
% Current number of equations to process: 4811
% Current number of ordered equations: 0
% Current number of rules: 452
% New rule produced :
% [581]
% composition(complement(sk2),A) join composition(complement(sk1),A) ->
% composition(complement(sk1),A)
% Current number of equations to process: 4810
% Current number of ordered equations: 0
% Current number of rules: 453
% New rule produced :
% [582]
% composition(A,complement(composition(converse(A),sk2))) join complement(sk1)
% -> complement(sk1)
% Current number of equations to process: 4809
% Current number of ordered equations: 0
% Current number of rules: 454
% New rule produced :
% [583]
% composition(A,complement(sk2)) join composition(A,complement(sk1)) ->
% composition(A,complement(sk1))
% Current number of equations to process: 4808
% Current number of ordered equations: 0
% Current number of rules: 455
% New rule produced :
% [584]
% composition(sk1,complement(composition(converse(sk2),sk2))) join complement(sk1)
% -> complement(sk1)
% Current number of equations to process: 4807
% Current number of ordered equations: 0
% Current number of rules: 456
% New rule produced :
% [585]
% composition(sk1,complement(composition(converse(sk3),sk2))) join complement(sk1)
% -> complement(sk1)
% Current number of equations to process: 4806
% Current number of ordered equations: 0
% Current number of rules: 457
% New rule produced :
% [586]
% composition(converse(sk1),complement(composition(sk2,sk2))) join complement(sk1)
% -> complement(sk1)
% Current number of equations to process: 4805
% Current number of ordered equations: 0
% Current number of rules: 458
% New rule produced :
% [587]
% composition(converse(sk1),complement(composition(sk3,sk2))) join complement(sk1)
% -> complement(sk1)
% Current number of equations to process: 4804
% Current number of ordered equations: 0
% Current number of rules: 459
% New rule produced :
% [588]
% composition(converse(A),complement(composition(A,sk3))) join complement(sk1)
% -> complement(sk1)
% Current number of equations to process: 4802
% Current number of ordered equations: 0
% Current number of rules: 460
% New rule produced :
% [589]
% composition(complement(sk3),A) join composition(complement(sk1),A) ->
% composition(complement(sk1),A)
% Current number of equations to process: 4801
% Current number of ordered equations: 0
% Current number of rules: 461
% New rule produced :
% [590]
% composition(A,complement(composition(converse(A),sk3))) join complement(sk1)
% -> complement(sk1)
% Current number of equations to process: 4800
% Current number of ordered equations: 0
% Current number of rules: 462
% New rule produced :
% [591]
% composition(A,complement(sk3)) join composition(A,complement(sk1)) ->
% composition(A,complement(sk1))
% Current number of equations to process: 4799
% Current number of ordered equations: 0
% Current number of rules: 463
% New rule produced :
% [592]
% composition(sk1,complement(composition(converse(sk3),sk3))) join complement(sk1)
% -> complement(sk1)
% Current number of equations to process: 4798
% Current number of ordered equations: 0
% Current number of rules: 464
% New rule produced :
% [593]
% composition(converse(sk1),complement(composition(sk2,sk3))) join complement(sk1)
% -> complement(sk1)
% Current number of equations to process: 4797
% Current number of ordered equations: 0
% Current number of rules: 465
% New rule produced :
% [594]
% composition(converse(sk1),complement(composition(sk3,sk3))) join complement(sk1)
% -> complement(sk1)
% Current number of equations to process: 4796
% Current number of ordered equations: 0
% Current number of rules: 466
% New rule produced :
% [595]
% composition(top,complement(converse(composition(top,complement(one))))) ->
% complement(converse(composition(top,complement(one))))
% Current number of equations to process: 4794
% Current number of ordered equations: 0
% Current number of rules: 467
% New rule produced :
% [596]
% composition(top,complement(sk1)) join complement(sk2 join A) ->
% composition(top,complement(sk1))
% Current number of equations to process: 4792
% Current number of ordered equations: 0
% Current number of rules: 468
% New rule produced :
% [597]
% composition(top,complement(sk1)) join complement(sk3 join A) ->
% composition(top,complement(sk1))
% Current number of equations to process: 4790
% Current number of ordered equations: 0
% Current number of rules: 469
% New rule produced :
% [598] composition(top,composition(top,A)) -> composition(top,A)
% Rule
% [490]
% composition(top,composition(top,A)) join complement(composition(B,A)) -> top
% collapsed.
% Current number of equations to process: 4940
% Current number of ordered equations: 0
% Current number of rules: 469
% New rule produced :
% [599]
% sk2 join composition(top,complement(composition(top,complement(sk1)))) -> sk2
% Current number of equations to process: 2391
% Current number of ordered equations: 0
% Current number of rules: 470
% New rule produced :
% [600]
% converse(composition(A,top)) join converse(composition(A,B)) ->
% converse(composition(A,top))
% Current number of equations to process: 2394
% Current number of ordered equations: 0
% Current number of rules: 471
% New rule produced :
% [601]
% converse(composition(top,A)) join composition(converse(A),B) ->
% converse(composition(top,A))
% Current number of equations to process: 2393
% Current number of ordered equations: 0
% Current number of rules: 472
% New rule produced :
% [602]
% sk2 join composition(converse(sk1),complement(composition(sk2,complement(sk1))))
% -> sk2
% Current number of equations to process: 2425
% Current number of ordered equations: 0
% Current number of rules: 473
% New rule produced :
% [603]
% sk2 join composition(converse(sk1),complement(composition(sk3,complement(sk1))))
% -> sk2
% Current number of equations to process: 2426
% Current number of ordered equations: 0
% Current number of rules: 474
% New rule produced :
% [604]
% sk3 join composition(top,complement(composition(top,complement(sk1)))) -> sk3
% Current number of equations to process: 2462
% Current number of ordered equations: 0
% Current number of rules: 475
% New rule produced :
% [605]
% sk3 join composition(converse(sk1),complement(composition(sk2,complement(sk1))))
% -> sk3
% Current number of equations to process: 2498
% Current number of ordered equations: 0
% Current number of rules: 476
% New rule produced :
% [606]
% sk3 join composition(converse(sk1),complement(composition(sk3,complement(sk1))))
% -> sk3
% Current number of equations to process: 2499
% Current number of ordered equations: 0
% Current number of rules: 477
% New rule produced :
% [607]
% converse(composition(A,converse(B))) join composition(B,top) ->
% composition(B,top)
% Rule
% [434]
% converse(composition(sk3,converse(A))) join composition(A,top) ->
% composition(A,top) collapsed.
% Current number of equations to process: 2552
% Current number of ordered equations: 0
% Current number of rules: 477
% New rule produced :
% [608]
% converse(composition(top,sk2)) join converse(composition(A,sk1)) ->
% converse(composition(top,sk2))
% Current number of equations to process: 2634
% Current number of ordered equations: 0
% Current number of rules: 478
% New rule produced :
% [609]
% converse(composition(top,sk3)) join converse(composition(A,sk1)) ->
% converse(composition(top,sk3))
% Current number of equations to process: 2633
% Current number of ordered equations: 0
% Current number of rules: 479
% New rule produced :
% [610]
% converse(composition(top,A)) join converse(A) -> converse(composition(top,A))
% Current number of equations to process: 2634
% Current number of ordered equations: 0
% Current number of rules: 480
% New rule produced :
% [611]
% converse(composition(sk2,top)) join composition(A,converse(sk1)) ->
% converse(composition(sk2,top))
% Current number of equations to process: 2765
% Current number of ordered equations: 0
% Current number of rules: 481
% New rule produced :
% [612]
% converse(composition(sk3,top)) join composition(A,converse(sk1)) ->
% converse(composition(sk3,top))
% Current number of equations to process: 2764
% Current number of ordered equations: 0
% Current number of rules: 482
% New rule produced :
% [613]
% converse(composition(A,top)) join converse(A) -> converse(composition(A,top))
% Current number of equations to process: 2767
% Current number of ordered equations: 0
% Current number of rules: 483
% New rule produced :
% [614] converse(complement(composition(A,zero))) join complement(one) -> top
% Current number of equations to process: 3352
% Current number of ordered equations: 0
% Current number of rules: 484
% New rule produced :
% [615]
% one join complement(converse(composition(top,zero))) ->
% complement(converse(composition(top,zero)))
% Current number of equations to process: 3377
% Current number of ordered equations: 0
% Current number of rules: 485
% New rule produced :
% [616] converse(composition(A,zero)) join complement(one) -> complement(one)
% Rule
% [305] converse(composition(top,zero)) join complement(one) -> complement(one)
% collapsed.
% Current number of equations to process: 3380
% Current number of ordered equations: 0
% Current number of rules: 485
% New rule produced :
% [617]
% converse(composition(sk1,complement(converse(sk2)))) join complement(one) ->
% complement(one)
% Current number of equations to process: 3428
% Current number of ordered equations: 0
% Current number of rules: 486
% New rule produced :
% [618]
% converse(composition(sk1,complement(converse(sk3)))) join complement(one) ->
% complement(one)
% Current number of equations to process: 3429
% Current number of ordered equations: 0
% Current number of rules: 487
% New rule produced :
% [619]
% converse(complement(one)) join composition(A,complement(converse(A))) ->
% converse(complement(one))
% Current number of equations to process: 3467
% Current number of ordered equations: 0
% Current number of rules: 488
% New rule produced :
% [620]
% converse(complement(composition(A,complement(converse(A))))) join complement(one)
% -> top
% Current number of equations to process: 3466
% Current number of ordered equations: 0
% Current number of rules: 489
% New rule produced :
% [621]
% converse(complement(composition(sk1,complement(converse(sk2))))) join
% complement(one) -> top
% Current number of equations to process: 3494
% Current number of ordered equations: 0
% Current number of rules: 490
% New rule produced :
% [622]
% converse(complement(composition(sk1,complement(converse(sk3))))) join
% complement(one) -> top
% Current number of equations to process: 3493
% Current number of ordered equations: 0
% Current number of rules: 491
% New rule produced :
% [623]
% complement(one) join complement(converse(composition(sk1,complement(converse(sk2)))))
% -> top
% Current number of equations to process: 3492
% Current number of ordered equations: 0
% Current number of rules: 492
% New rule produced :
% [624]
% complement(one) join complement(converse(composition(sk1,complement(converse(sk3)))))
% -> top
% Current number of equations to process: 3491
% Current number of ordered equations: 0
% Current number of rules: 493
% New rule produced :
% [625]
% converse(composition(top,zero)) join composition(top,complement(one)) ->
% composition(top,complement(one))
% Current number of equations to process: 3492
% Current number of ordered equations: 0
% Current number of rules: 494
% New rule produced :
% [626]
% converse(complement(one)) join complement(composition(converse(A),complement(A)))
% -> top
% Current number of equations to process: 3492
% Current number of ordered equations: 0
% Current number of rules: 495
% New rule produced :
% [627]
% converse(complement(one)) join composition(converse(sk1),complement(sk2)) ->
% converse(complement(one))
% Current number of equations to process: 3522
% Current number of ordered equations: 0
% Current number of rules: 496
% New rule produced :
% [628]
% converse(complement(one)) join composition(converse(sk1),complement(sk3)) ->
% converse(complement(one))
% Current number of equations to process: 3523
% Current number of ordered equations: 0
% Current number of rules: 497
% New rule produced : [629] converse(complement(one)) -> complement(one)
% Rule
% [188]
% converse(composition(converse(A),complement(A))) join converse(complement(one))
% -> converse(complement(one)) collapsed.
% Rule [269] one join converse(complement(one)) -> top collapsed.
% Rule
% [307]
% converse(complement(one)) join composition(converse(A),complement(A)) ->
% converse(complement(one)) collapsed.
% Rule
% [362]
% converse(composition(top,zero)) join converse(complement(one)) ->
% converse(complement(one)) collapsed.
% Rule
% [385]
% converse(composition(A,complement(converse(A)))) join converse(complement(one))
% -> converse(complement(one)) collapsed.
% Rule
% [387]
% converse(complement(one)) join converse(complement(composition(converse(A),
% complement(A)))) -> top
% collapsed.
% Rule
% [409]
% converse(complement(one)) join complement(converse(composition(converse(A),
% complement(A)))) -> top
% collapsed.
% Rule [457] converse(complement(one)) join complement(one) -> complement(one)
% collapsed.
% Rule
% [491]
% converse(composition(A,converse(complement(one)))) join converse(A) ->
% converse(composition(A,top)) collapsed.
% Rule
% [513]
% converse(complement(one)) join converse(complement(composition(top,zero))) ->
% top collapsed.
% Rule [533] complement(converse(complement(one))) -> one collapsed.
% Rule
% [534] composition(converse(complement(one)),A) join A -> composition(top,A)
% collapsed.
% Rule
% [535] composition(A,converse(complement(one))) join A -> composition(A,top)
% collapsed.
% Rule
% [536]
% complement(converse(complement(one)) join A) ->
% complement(complement(one) join A) collapsed.
% Rule
% [619]
% converse(complement(one)) join composition(A,complement(converse(A))) ->
% converse(complement(one)) collapsed.
% Rule
% [626]
% converse(complement(one)) join complement(composition(converse(A),complement(A)))
% -> top collapsed.
% Rule
% [627]
% converse(complement(one)) join composition(converse(sk1),complement(sk2)) ->
% converse(complement(one)) collapsed.
% Rule
% [628]
% converse(complement(one)) join composition(converse(sk1),complement(sk3)) ->
% converse(complement(one)) collapsed.
% Current number of equations to process: 3573
% Current number of ordered equations: 0
% Current number of rules: 480
% New rule produced :
% [630] composition(A,complement(one)) join A -> composition(A,top)
% Current number of equations to process: 3571
% Current number of ordered equations: 0
% Current number of rules: 481
% New rule produced :
% [631]
% converse(composition(A,complement(one))) join converse(A) ->
% converse(composition(A,top))
% Current number of equations to process: 3570
% Current number of ordered equations: 0
% Current number of rules: 482
% New rule produced :
% [632]
% one join complement(composition(converse(A),complement(A))) ->
% complement(composition(converse(A),complement(A)))
% Rule
% [404]
% complement(one join complement(composition(converse(A),complement(A)))) ->
% composition(converse(A),complement(A)) collapsed.
% Current number of equations to process: 3571
% Current number of ordered equations: 0
% Current number of rules: 482
% New rule produced :
% [633] composition(sk2,sk2) join complement(composition(sk1,sk1)) -> top
% Current number of equations to process: 3654
% Current number of ordered equations: 0
% Current number of rules: 483
% New rule produced :
% [634] composition(A,sk2) join complement(composition(A,sk1)) -> top
% Current number of equations to process: 3655
% Current number of ordered equations: 0
% Current number of rules: 484
% New rule produced :
% [635] composition(sk3,sk1) join composition(top,sk2) -> composition(top,sk2)
% Current number of equations to process: 3666
% Current number of ordered equations: 0
% Current number of rules: 485
% New rule produced :
% [636] composition(sk2,sk2) join composition(sk1,sk1) -> composition(sk2,sk2)
% Current number of equations to process: 3672
% Current number of ordered equations: 0
% Current number of rules: 486
% New rule produced :
% [637] composition(sk3,sk2) join composition(sk1,sk1) -> composition(sk3,sk2)
% Current number of equations to process: 3671
% Current number of ordered equations: 0
% Current number of rules: 487
% New rule produced :
% [638] composition(top,sk2) join composition(A,sk1) -> composition(top,sk2)
% Rule
% [635] composition(sk3,sk1) join composition(top,sk2) -> composition(top,sk2)
% collapsed.
% Current number of equations to process: 3678
% Current number of ordered equations: 0
% Current number of rules: 487
% New rule produced :
% [639] composition(sk3,sk2) join complement(composition(sk1,sk1)) -> top
% Current number of equations to process: 3693
% Current number of ordered equations: 0
% Current number of rules: 488
% New rule produced :
% [640] composition(top,sk2) join complement(composition(A,sk1)) -> top
% Current number of equations to process: 3694
% Current number of ordered equations: 0
% Current number of rules: 489
% New rule produced :
% [641] composition(sk2,sk3) join complement(composition(sk1,sk1)) -> top
% Current number of equations to process: 3768
% Current number of ordered equations: 0
% Current number of rules: 490
% New rule produced :
% [642] composition(A,sk3) join complement(composition(A,sk1)) -> top
% Current number of equations to process: 3769
% Current number of ordered equations: 0
% Current number of rules: 491
% New rule produced :
% [643] composition(sk3,sk1) join composition(top,sk3) -> composition(top,sk3)
% Current number of equations to process: 3780
% Current number of ordered equations: 0
% Current number of rules: 492
% New rule produced :
% [644] composition(sk2,sk3) join composition(sk1,sk1) -> composition(sk2,sk3)
% Current number of equations to process: 3786
% Current number of ordered equations: 0
% Current number of rules: 493
% New rule produced :
% [645] composition(sk3,sk3) join composition(sk1,sk1) -> composition(sk3,sk3)
% Current number of equations to process: 3785
% Current number of ordered equations: 0
% Current number of rules: 494
% New rule produced :
% [646] composition(top,sk3) join composition(A,sk1) -> composition(top,sk3)
% Rule
% [643] composition(sk3,sk1) join composition(top,sk3) -> composition(top,sk3)
% collapsed.
% Current number of equations to process: 3792
% Current number of ordered equations: 0
% Current number of rules: 494
% New rule produced :
% [647] composition(sk3,sk3) join complement(composition(sk1,sk1)) -> top
% Current number of equations to process: 3807
% Current number of ordered equations: 0
% Current number of rules: 495
% New rule produced :
% [648] composition(top,sk3) join complement(composition(A,sk1)) -> top
% Current number of equations to process: 3808
% Current number of ordered equations: 0
% Current number of rules: 496
% New rule produced :
% [649] composition(sk2,top) join complement(composition(sk1,A)) -> top
% Current number of equations to process: 3880
% Current number of ordered equations: 0
% Current number of rules: 497
% New rule produced :
% [650]
% converse(complement(converse(composition(A,sk1)))) join composition(A,sk2) ->
% top
% Current number of equations to process: 3876
% Current number of ordered equations: 0
% Current number of rules: 498
% New rule produced :
% [651]
% converse(complement(converse(composition(A,sk1)))) join composition(top,sk2)
% -> top
% Current number of equations to process: 3873
% Current number of ordered equations: 0
% Current number of rules: 499
% New rule produced :
% [652]
% converse(complement(converse(composition(sk1,sk1)))) join composition(sk2,sk2)
% -> top
% Current number of equations to process: 3872
% Current number of ordered equations: 0
% Current number of rules: 500
% New rule produced :
% [653]
% converse(complement(converse(composition(sk1,sk1)))) join composition(sk3,sk2)
% -> top
% Current number of equations to process: 3871
% Current number of ordered equations: 0
% Current number of rules: 501
% New rule produced :
% [654]
% composition(top,sk2) join complement(composition(A,composition(B,sk1))) ->
% top
% Current number of equations to process: 3870
% Current number of ordered equations: 0
% Current number of rules: 502
% New rule produced :
% [655]
% composition(top,sk2) join complement(converse(composition(converse(sk1),A)))
% -> top
% Current number of equations to process: 3869
% Current number of ordered equations: 0
% Current number of rules: 503
% New rule produced :
% [656]
% composition(converse(sk2),sk2) join complement(composition(converse(sk1),sk1))
% -> top
% Current number of equations to process: 3868
% Current number of ordered equations: 0
% Current number of rules: 504
% New rule produced :
% [657]
% composition(converse(sk3),sk2) join complement(composition(converse(sk1),sk1))
% -> top
% Current number of equations to process: 3867
% Current number of ordered equations: 0
% Current number of rules: 505
% New rule produced :
% [658]
% composition(zero,composition(A,sk1)) join composition(A,sk2) ->
% composition(A,sk2)
% Current number of equations to process: 3866
% Current number of ordered equations: 0
% Current number of rules: 506
% New rule produced :
% [659]
% composition(top,sk2) join composition(A,composition(B,sk1)) ->
% composition(top,sk2)
% Current number of equations to process: 3865
% Current number of ordered equations: 0
% Current number of rules: 507
% New rule produced :
% [660]
% converse(composition(converse(sk1),A)) join composition(top,sk2) ->
% composition(top,sk2)
% Current number of equations to process: 3864
% Current number of ordered equations: 0
% Current number of rules: 508
% New rule produced :
% [661]
% converse(complement(converse(composition(A,sk1)))) join composition(A,sk3) ->
% top
% Current number of equations to process: 3861
% Current number of ordered equations: 0
% Current number of rules: 509
% New rule produced :
% [662]
% converse(complement(converse(composition(A,sk1)))) join composition(top,sk3)
% -> top
% Current number of equations to process: 3858
% Current number of ordered equations: 0
% Current number of rules: 510
% New rule produced :
% [663]
% converse(complement(converse(composition(sk1,sk1)))) join composition(sk2,sk3)
% -> top
% Current number of equations to process: 3857
% Current number of ordered equations: 0
% Current number of rules: 511
% New rule produced :
% [664]
% converse(complement(converse(composition(sk1,sk1)))) join composition(sk3,sk3)
% -> top
% Current number of equations to process: 3856
% Current number of ordered equations: 0
% Current number of rules: 512
% New rule produced :
% [665]
% composition(top,sk3) join complement(composition(A,composition(B,sk1))) ->
% top
% Current number of equations to process: 3855
% Current number of ordered equations: 0
% Current number of rules: 513
% New rule produced :
% [666]
% composition(top,sk3) join complement(converse(composition(converse(sk1),A)))
% -> top
% Current number of equations to process: 3854
% Current number of ordered equations: 0
% Current number of rules: 514
% New rule produced :
% [667]
% composition(converse(sk3),sk3) join complement(composition(converse(sk1),sk1))
% -> top
% Current number of equations to process: 3853
% Current number of ordered equations: 0
% Current number of rules: 515
% New rule produced :
% [668]
% composition(zero,composition(A,sk1)) join composition(A,sk3) ->
% composition(A,sk3)
% Current number of equations to process: 3852
% Current number of ordered equations: 0
% Current number of rules: 516
% New rule produced :
% [669]
% composition(top,sk3) join composition(A,composition(B,sk1)) ->
% composition(top,sk3)
% Current number of equations to process: 3851
% Current number of ordered equations: 0
% Current number of rules: 517
% New rule produced :
% [670]
% converse(composition(converse(sk1),A)) join composition(top,sk3) ->
% composition(top,sk3)
% Current number of equations to process: 3850
% Current number of ordered equations: 0
% Current number of rules: 518
% New rule produced :
% [671] composition(A,top) join complement(composition(A,B)) -> top
% Current number of equations to process: 3860
% Current number of ordered equations: 0
% Current number of rules: 519
% New rule produced :
% [672] composition(sk2,top) join composition(sk1,A) -> composition(sk2,top)
% Current number of equations to process: 3892
% Current number of ordered equations: 0
% Current number of rules: 520
% New rule produced :
% [673] composition(sk3,top) join composition(sk1,A) -> composition(sk3,top)
% Current number of equations to process: 3899
% Current number of ordered equations: 0
% Current number of rules: 521
% New rule produced :
% [674] composition(sk3,top) join complement(composition(sk1,A)) -> top
% Current number of equations to process: 3986
% Current number of ordered equations: 0
% Current number of rules: 522
% New rule produced :
% [675]
% composition(A,converse(A)) join complement(one) ->
% composition(A,top) join complement(one)
% Current number of equations to process: 4061
% Current number of ordered equations: 0
% Current number of rules: 523
% New rule produced :
% [676] composition(zero,complement(A)) join A -> composition(zero,top) join A
% Current number of equations to process: 4144
% Current number of ordered equations: 0
% Current number of rules: 524
% New rule produced :
% [677]
% composition(zero,A) join complement(A) <->
% composition(zero,top) join complement(A)
% Current number of equations to process: 4143
% Current number of ordered equations: 1
% Current number of rules: 525
% New rule produced :
% [678]
% composition(zero,top) join complement(A) <->
% composition(zero,A) join complement(A)
% Current number of equations to process: 4143
% Current number of ordered equations: 0
% Current number of rules: 526
% New rule produced :
% [679]
% composition(sk1,converse(sk2)) join complement(one) ->
% composition(sk1,top) join complement(one)
% Current number of equations to process: 4148
% Current number of ordered equations: 0
% Current number of rules: 527
% New rule produced :
% [680]
% composition(sk1,converse(sk3)) join complement(one) ->
% composition(sk1,top) join complement(one)
% Current number of equations to process: 4147
% Current number of ordered equations: 0
% Current number of rules: 528
% New rule produced :
% [681]
% composition(converse(A),A) join complement(one) ->
% converse(composition(top,A)) join complement(one)
% Current number of equations to process: 4170
% Current number of ordered equations: 0
% Current number of rules: 529
% New rule produced :
% [682]
% converse(complement(converse(composition(sk1,A)))) join composition(sk2,top)
% -> top
% Current number of equations to process: 4167
% Current number of ordered equations: 0
% Current number of rules: 530
% New rule produced :
% [683]
% converse(complement(converse(composition(sk1,A)))) join composition(sk3,top)
% -> top
% Current number of equations to process: 4166
% Current number of ordered equations: 0
% Current number of rules: 531
% New rule produced :
% [684]
% converse(composition(top,sk2)) join complement(composition(converse(sk1),A))
% -> top
% Current number of equations to process: 4165
% Current number of ordered equations: 0
% Current number of rules: 532
% New rule produced :
% [685]
% converse(composition(top,sk3)) join complement(composition(converse(sk1),A))
% -> top
% Current number of equations to process: 4164
% Current number of ordered equations: 0
% Current number of rules: 533
% New rule produced :
% [686]
% composition(zero,composition(A,B)) join composition(A,top) ->
% composition(A,top)
% Current number of equations to process: 4163
% Current number of ordered equations: 0
% Current number of rules: 534
% New rule produced :
% [687]
% converse(composition(A,top)) join composition(top,complement(converse(A))) ->
% top
% Current number of equations to process: 4162
% Current number of ordered equations: 0
% Current number of rules: 535
% New rule produced :
% [688]
% sk2 join composition(zero,complement(sk1)) -> sk2 join composition(zero,top)
% Current number of equations to process: 4278
% Current number of ordered equations: 0
% Current number of rules: 536
% New rule produced :
% [689]
% composition(zero,sk1) join complement(sk1) ->
% composition(zero,sk2) join complement(sk1)
% Current number of equations to process: 4277
% Current number of ordered equations: 0
% Current number of rules: 537
% New rule produced :
% [690]
% sk3 join composition(zero,complement(sk1)) -> sk3 join composition(zero,top)
% Current number of equations to process: 4411
% Current number of ordered equations: 0
% Current number of rules: 538
% Rule [689]
% composition(zero,sk1) join complement(sk1) ->
% composition(zero,sk2) join complement(sk1) is composed into [689]
% composition(zero,sk1) join
% complement(sk1)
% ->
% composition(zero,sk3) join
% complement(sk1)
% New rule produced :
% [691]
% composition(zero,sk2) join complement(sk1) ->
% composition(zero,sk3) join complement(sk1)
% Current number of equations to process: 4410
% Current number of ordered equations: 0
% Current number of rules: 539
% New rule produced : [692] composition(A,top) join A -> composition(A,top)
% Current number of equations to process: 4431
% Current number of ordered equations: 0
% Current number of rules: 540
% New rule produced :
% [693]
% composition(top,composition(complement(one),top)) ->
% composition(complement(one),top)
% Current number of equations to process: 4537
% Current number of ordered equations: 0
% Current number of rules: 541
% New rule produced :
% [694]
% converse(sk2) join complement(converse(complement(sk1))) -> converse(sk2)
% Rule
% [317]
% complement(converse(sk2) join complement(converse(complement(sk1)))) ->
% complement(converse(sk2)) collapsed.
% Current number of equations to process: 4555
% Current number of ordered equations: 0
% Current number of rules: 541
% New rule produced :
% [695]
% converse(complement(sk1)) join complement(converse(sk2)) ->
% converse(complement(sk1))
% Rule
% [318]
% complement(converse(complement(sk1)) join complement(converse(sk2))) ->
% complement(converse(complement(sk1))) collapsed.
% Current number of equations to process: 4555
% Current number of ordered equations: 0
% Current number of rules: 541
% New rule produced : [696] complement(complement(A) join B) join A -> A
% Rule
% [320] complement(complement(complement(A) join B) join A) -> complement(A)
% collapsed.
% Current number of equations to process: 4555
% Current number of ordered equations: 0
% Current number of rules: 541
% New rule produced :
% [697] converse(A) join complement(converse(complement(A))) -> converse(A)
% Rule
% [325]
% complement(converse(A) join complement(converse(complement(A)))) ->
% complement(converse(A)) collapsed.
% Current number of equations to process: 4556
% Current number of ordered equations: 0
% Current number of rules: 541
% New rule produced :
% [698]
% converse(complement(A)) join complement(converse(A)) ->
% converse(complement(A))
% Rule
% [326]
% complement(converse(complement(A)) join complement(converse(A))) ->
% complement(converse(complement(A))) collapsed.
% Current number of equations to process: 4557
% Current number of ordered equations: 0
% Current number of rules: 541
% New rule produced :
% [699]
% composition(composition(A,B),C) join composition(A,top) -> composition(A,top)
% Current number of equations to process: 4556
% Current number of ordered equations: 0
% Current number of rules: 542
% New rule produced :
% [700]
% composition(A,converse(sk2)) join complement(composition(A,converse(sk1))) ->
% top
% Current number of equations to process: 4557
% Current number of ordered equations: 0
% Current number of rules: 543
% New rule produced :
% [701]
% composition(converse(sk2),sk2) join composition(converse(sk1),sk1) ->
% composition(converse(sk2),sk2)
% Current number of equations to process: 4556
% Current number of ordered equations: 0
% Current number of rules: 544
% New rule produced :
% [702]
% composition(converse(sk3),sk2) join composition(converse(sk1),sk1) ->
% composition(converse(sk3),sk2)
% Current number of equations to process: 4555
% Current number of ordered equations: 0
% Current number of rules: 545
% New rule produced :
% [703]
% complement(composition(A,sk2)) join complement(composition(A,sk1)) ->
% complement(composition(A,sk1))
% Current number of equations to process: 4554
% Current number of ordered equations: 0
% Current number of rules: 546
% New rule produced :
% [704]
% composition(top,sk1) join composition(complement(one),sk2) ->
% sk1 join composition(complement(one),sk2)
% Current number of equations to process: 4553
% Current number of ordered equations: 0
% Current number of rules: 547
% New rule produced :
% [705]
% composition(converse(sk3),sk3) join composition(converse(sk1),sk1) ->
% composition(converse(sk3),sk3)
% Current number of equations to process: 4552
% Current number of ordered equations: 0
% Current number of rules: 548
% New rule produced :
% [706]
% complement(composition(A,sk3)) join complement(composition(A,sk1)) ->
% complement(composition(A,sk1))
% Current number of equations to process: 4551
% Current number of ordered equations: 0
% Current number of rules: 549
% New rule produced :
% [707]
% composition(top,sk1) join composition(complement(one),sk3) ->
% sk1 join composition(complement(one),sk3)
% Current number of equations to process: 4550
% Current number of ordered equations: 0
% Current number of rules: 550
% New rule produced :
% [708]
% converse(composition(top,sk2)) join composition(converse(sk1),A) ->
% converse(composition(top,sk2))
% Current number of equations to process: 4549
% Current number of ordered equations: 0
% Current number of rules: 551
% New rule produced :
% [709]
% converse(composition(top,sk3)) join composition(converse(sk1),A) ->
% converse(composition(top,sk3))
% Current number of equations to process: 4548
% Current number of ordered equations: 0
% Current number of rules: 552
% New rule produced :
% [710]
% complement(composition(A,top)) join complement(composition(A,B)) ->
% complement(composition(A,B))
% Current number of equations to process: 4547
% Current number of ordered equations: 0
% Current number of rules: 553
% New rule produced :
% [711]
% composition(top,A) join composition(complement(one),top) ->
% composition(complement(one),top) join A
% Current number of equations to process: 4545
% Current number of ordered equations: 0
% Current number of rules: 554
% New rule produced :
% [712]
% composition(sk2,converse(sk2)) join composition(sk1,converse(sk1)) ->
% composition(sk2,converse(sk2))
% Current number of equations to process: 4615
% Current number of ordered equations: 0
% Current number of rules: 555
% New rule produced :
% [713]
% composition(A,converse(sk3)) join complement(composition(A,converse(sk1))) ->
% top
% Current number of equations to process: 4634
% Current number of ordered equations: 0
% Current number of rules: 556
% New rule produced :
% [714]
% composition(sk2,converse(sk3)) join composition(sk1,converse(sk1)) ->
% composition(sk2,converse(sk3))
% Current number of equations to process: 4706
% Current number of ordered equations: 0
% Current number of rules: 557
% New rule produced :
% [715]
% composition(sk3,converse(sk3)) join composition(sk1,converse(sk1)) ->
% composition(sk3,converse(sk3))
% Current number of equations to process: 4705
% Current number of ordered equations: 0
% Current number of rules: 558
% New rule produced :
% [716] complement(sk2 join complement(sk1 join A)) join A -> A
% Rule
% [331]
% complement(complement(sk2 join complement(sk1 join A)) join A) ->
% complement(A) collapsed.
% Current number of equations to process: 4723
% Current number of ordered equations: 0
% Current number of rules: 558
% New rule produced :
% [717] complement(sk3 join complement(sk1 join A)) join A -> A
% Rule
% [333]
% complement(complement(sk3 join complement(sk1 join A)) join A) ->
% complement(A) collapsed.
% Current number of equations to process: 4723
% Current number of ordered equations: 0
% Current number of rules: 558
% New rule produced :
% [718] sk3 join complement(converse(complement(converse(sk1)))) -> sk3
% Rule
% [440]
% complement(sk3 join complement(converse(complement(converse(sk1))))) ->
% complement(sk3) collapsed.
% Current number of equations to process: 4774
% Current number of ordered equations: 0
% Current number of rules: 558
% New rule produced :
% [719] sk2 join complement(converse(complement(converse(sk1)))) -> sk2
% Rule
% [439]
% complement(sk2 join complement(converse(complement(converse(sk1))))) ->
% complement(sk2) collapsed.
% Current number of equations to process: 4773
% Current number of ordered equations: 0
% Current number of rules: 558
% New rule produced :
% [720]
% converse(complement(converse(sk1))) join complement(sk3) ->
% converse(complement(converse(sk1)))
% Rule
% [448]
% complement(converse(complement(converse(sk1))) join complement(sk3)) ->
% complement(converse(complement(converse(sk1)))) collapsed.
% Current number of equations to process: 4772
% Current number of ordered equations: 0
% Current number of rules: 558
% New rule produced :
% [721]
% converse(complement(converse(sk1))) join complement(sk2) ->
% converse(complement(converse(sk1)))
% Rule
% [447]
% complement(converse(complement(converse(sk1))) join complement(sk2)) ->
% complement(converse(complement(converse(sk1)))) collapsed.
% Current number of equations to process: 4771
% Current number of ordered equations: 0
% Current number of rules: 558
% New rule produced :
% [722]
% complement(converse(sk2)) join complement(converse(sk1)) ->
% complement(converse(sk1))
% Rule
% [335]
% complement(complement(converse(sk2)) join complement(converse(sk1))) ->
% converse(sk1) collapsed.
% Current number of equations to process: 4913
% Current number of ordered equations: 0
% Current number of rules: 558
% New rule produced :
% [723]
% complement(converse(sk3)) join complement(converse(sk1)) ->
% complement(converse(sk1))
% Rule
% [336]
% complement(complement(converse(sk3)) join complement(converse(sk1))) ->
% converse(sk1) collapsed.
% Current number of equations to process: 4912
% Current number of ordered equations: 0
% Current number of rules: 558
% New rule produced :
% [724] sk3 join complement(converse(complement(converse(sk1))) join A) -> sk3
% Rule
% [453]
% complement(sk3 join complement(converse(complement(converse(sk1))) join A))
% -> complement(sk3) collapsed.
% Current number of equations to process: 4917
% Current number of ordered equations: 0
% Current number of rules: 558
% New rule produced :
% [725] sk2 join complement(converse(complement(converse(sk1))) join A) -> sk2
% Rule
% [452]
% complement(sk2 join complement(converse(complement(converse(sk1))) join A))
% -> complement(sk2) collapsed.
% Current number of equations to process: 4916
% Current number of ordered equations: 0
% Current number of rules: 558
% New rule produced :
% [726]
% converse(sk3) join complement(converse(complement(sk1))) -> converse(sk3)
% Rule
% [338]
% complement(converse(sk3) join complement(converse(complement(sk1)))) ->
% complement(converse(sk3)) collapsed.
% Current number of equations to process: 720
% Current number of ordered equations: 0
% Current number of rules: 558
% New rule produced :
% [727] sk2 join complement(sk1 join A) -> sk2 join complement(A)
% Rule [106] sk2 join complement(sk1 join sk1) -> top collapsed.
% Rule
% [122] sk2 join converse(sk2) join complement(sk1 join converse(sk1)) -> top
% collapsed.
% Rule
% [123] sk2 join converse(sk3) join complement(sk1 join converse(sk1)) -> top
% collapsed.
% Rule [240] sk2 join complement(sk1 join sk1 join sk1) -> top collapsed.
% Rule [716] complement(sk2 join complement(sk1 join A)) join A -> A collapsed.
% Current number of equations to process: 719
% Current number of ordered equations: 0
% Current number of rules: 554
% New rule produced :
% [728] sk3 join complement(sk1 join A) -> sk3 join complement(A)
% Rule [121] sk3 join complement(sk1 join sk1) -> top collapsed.
% Rule
% [127] sk3 join converse(sk2) join complement(sk1 join converse(sk1)) -> top
% collapsed.
% Rule
% [128] sk3 join converse(sk3) join complement(sk1 join converse(sk1)) -> top
% collapsed.
% Rule [242] sk3 join complement(sk1 join sk1 join sk1) -> top collapsed.
% Rule [717] complement(sk3 join complement(sk1 join A)) join A -> A collapsed.
% Current number of equations to process: 718
% Current number of ordered equations: 0
% Current number of rules: 550
% New rule produced :
% [729]
% converse(complement(sk1)) join complement(converse(sk3)) ->
% converse(complement(sk1))
% Rule
% [339]
% complement(converse(complement(sk1)) join complement(converse(sk3))) ->
% complement(converse(complement(sk1))) collapsed.
% Current number of equations to process: 717
% Current number of ordered equations: 0
% Current number of rules: 550
% New rule produced :
% [730] complement(converse(complement(converse(A)))) join A -> A
% Rule
% [337]
% complement(complement(converse(complement(converse(A)))) join A) ->
% complement(A) collapsed.
% Current number of equations to process: 748
% Current number of ordered equations: 0
% Current number of rules: 550
% New rule produced :
% [731]
% converse(complement(converse(A))) join complement(A) ->
% converse(complement(converse(A)))
% Rule
% [340]
% complement(converse(complement(converse(A))) join complement(A)) ->
% complement(converse(complement(converse(A)))) collapsed.
% Current number of equations to process: 772
% Current number of ordered equations: 0
% Current number of rules: 550
% New rule produced :
% [732] complement(converse(complement(converse(A))) join B) join A -> A
% Rule
% [350]
% complement(complement(converse(complement(converse(A))) join B) join A) ->
% complement(A) collapsed.
% Current number of equations to process: 851
% Current number of ordered equations: 0
% Current number of rules: 550
% New rule produced :
% [733]
% converse(sk2) join complement(complement(converse(sk1)) join A) ->
% converse(sk2)
% Rule
% [400]
% complement(converse(sk2) join complement(complement(converse(sk1)) join A))
% -> complement(converse(sk2)) collapsed.
% Current number of equations to process: 1231
% Current number of ordered equations: 0
% Current number of rules: 550
% New rule produced :
% [734]
% converse(sk3) join complement(complement(converse(sk1)) join A) ->
% converse(sk3)
% Rule
% [401]
% complement(converse(sk3) join complement(complement(converse(sk1)) join A))
% -> complement(converse(sk3)) collapsed.
% Current number of equations to process: 1230
% Current number of ordered equations: 0
% Current number of rules: 550
% New rule produced :
% [735]
% converse(sk2) join complement(converse(complement(sk1)) join A) ->
% converse(sk2)
% Rule
% [395]
% complement(converse(sk2) join complement(converse(complement(sk1)) join A))
% -> complement(converse(sk2)) collapsed.
% Current number of equations to process: 1229
% Current number of ordered equations: 0
% Current number of rules: 550
% New rule produced :
% [736]
% converse(sk3) join complement(converse(complement(sk1)) join A) ->
% converse(sk3)
% Rule
% [399]
% complement(converse(sk3) join complement(converse(complement(sk1)) join A))
% -> complement(converse(sk3)) collapsed.
% Current number of equations to process: 1228
% Current number of ordered equations: 0
% Current number of rules: 550
% New rule produced :
% [737]
% converse(A) join complement(converse(complement(A)) join B) -> converse(A)
% Rule
% [396]
% complement(converse(A) join complement(converse(complement(A)) join B)) ->
% complement(converse(A)) collapsed.
% Current number of equations to process: 1227
% Current number of ordered equations: 0
% Current number of rules: 550
% New rule produced :
% [738]
% complement(composition(complement(one),A)) join A ->
% complement(composition(top,A)) join A
% Current number of equations to process: 1226
% Current number of ordered equations: 0
% Current number of rules: 551
% New rule produced :
% [739] complement(composition(zero,A) join B) join A -> complement(B) join A
% Current number of equations to process: 1224
% Current number of ordered equations: 0
% Current number of rules: 552
% New rule produced :
% [740]
% complement(converse(sk2) join A) join complement(converse(sk1)) ->
% complement(converse(sk1))
% Rule
% [347]
% complement(complement(converse(sk2) join A) join complement(converse(sk1)))
% -> converse(sk1) collapsed.
% Current number of equations to process: 1221
% Current number of ordered equations: 0
% Current number of rules: 552
% New rule produced :
% [741]
% complement(converse(sk3) join A) join complement(converse(sk1)) ->
% complement(converse(sk1))
% Rule
% [348]
% complement(complement(converse(sk3) join A) join complement(converse(sk1)))
% -> converse(sk1) collapsed.
% Current number of equations to process: 1220
% Current number of ordered equations: 0
% Current number of rules: 552
% New rule produced :
% [742]
% converse(complement(sk1)) join complement(converse(sk2) join A) ->
% converse(complement(sk1))
% Current number of equations to process: 1219
% Current number of ordered equations: 0
% Current number of rules: 553
% New rule produced :
% [743]
% converse(sk3) join complement(converse(sk1) join A) ->
% converse(sk3) join complement(A)
% Current number of equations to process: 1218
% Current number of ordered equations: 0
% Current number of rules: 554
% New rule produced :
% [744]
% converse(complement(sk1)) join complement(converse(sk3) join A) ->
% converse(complement(sk1))
% Current number of equations to process: 1217
% Current number of ordered equations: 0
% Current number of rules: 555
% New rule produced :
% [745]
% converse(sk2) join complement(converse(sk1) join A) ->
% converse(sk2) join complement(A)
% Current number of equations to process: 1216
% Current number of ordered equations: 0
% Current number of rules: 556
% New rule produced :
% [746]
% converse(complement(A)) join complement(converse(A) join B) ->
% converse(complement(A))
% Current number of equations to process: 1215
% Current number of ordered equations: 0
% Current number of rules: 557
% New rule produced :
% [747]
% converse(complement(converse(sk1))) join complement(sk3 join A) ->
% converse(complement(converse(sk1)))
% Current number of equations to process: 1260
% Current number of ordered equations: 0
% Current number of rules: 558
% New rule produced :
% [748]
% converse(complement(converse(sk1))) join complement(sk2 join A) ->
% converse(complement(converse(sk1)))
% Current number of equations to process: 1259
% Current number of ordered equations: 0
% Current number of rules: 559
% New rule produced :
% [749]
% complement(composition(sk2,A)) join complement(composition(sk1,A)) ->
% complement(composition(sk1,A))
% Rule
% [402]
% complement(complement(composition(sk2,A)) join complement(composition(sk1,A)))
% -> composition(sk1,A) collapsed.
% Current number of equations to process: 1258
% Current number of ordered equations: 0
% Current number of rules: 559
% New rule produced :
% [750]
% converse(complement(A join B)) join converse(B) ->
% converse(complement(A)) join converse(B)
% Rule
% [63] converse(complement(A join B)) join converse(A) join converse(B) -> top
% collapsed.
% Rule
% [190]
% complement(converse(complement(A join A)) join converse(A)) ->
% complement(top) collapsed.
% Rule
% [378]
% sk2 join converse(complement(converse(sk1) join A)) join converse(A) -> top
% collapsed.
% Rule
% [379]
% sk3 join converse(complement(converse(sk1) join A)) join converse(A) -> top
% collapsed.
% Rule [484] one join converse(complement(one join A)) join converse(A) -> top
% collapsed.
% Current number of equations to process: 1254
% Current number of ordered equations: 0
% Current number of rules: 555
% New rule produced :
% [751]
% one join converse(complement(converse(complement(complement(one) join A))))
% -> top
% Current number of equations to process: 1271
% Current number of ordered equations: 0
% Current number of rules: 556
% New rule produced :
% [752]
% converse(complement(converse(complement(complement(A) join B)))) join A ->
% top
% Rule
% [751]
% one join converse(complement(converse(complement(complement(one) join A))))
% -> top collapsed.
% Current number of equations to process: 1270
% Current number of ordered equations: 0
% Current number of rules: 556
% New rule produced :
% [753]
% converse(complement(converse(complement(converse(sk3))))) join complement(
% converse(sk1))
% -> top
% Current number of equations to process: 1332
% Current number of ordered equations: 0
% Current number of rules: 557
% New rule produced :
% [754]
% converse(complement(A)) join complement(converse(complement(A join B))) ->
% top
% Current number of equations to process: 1331
% Current number of ordered equations: 0
% Current number of rules: 558
% New rule produced :
% [755]
% converse(complement(converse(complement(converse(sk2))))) join complement(
% converse(sk1))
% -> top
% Current number of equations to process: 1330
% Current number of ordered equations: 0
% Current number of rules: 559
% New rule produced :
% [756]
% converse(complement(converse(complement(composition(top,A))))) join complement(A)
% -> top
% Current number of equations to process: 1482
% Current number of ordered equations: 0
% Current number of rules: 560
% New rule produced :
% [757]
% converse(complement(converse(complement(A)))) join complement(composition(zero,A))
% -> top
% Current number of equations to process: 1577
% Current number of ordered equations: 0
% Current number of rules: 561
% New rule produced :
% [758] complement(composition(top,A)) join complement(A) -> complement(A)
% Current number of equations to process: 1981
% Current number of ordered equations: 0
% Current number of rules: 562
% New rule produced :
% [759]
% complement(composition(top,A) join B) join complement(A) -> complement(A)
% Current number of equations to process: 2196
% Current number of ordered equations: 0
% Current number of rules: 563
% New rule produced :
% [760]
% converse(complement(A join B)) join converse(complement(A)) ->
% converse(complement(A))
% Current number of equations to process: 2195
% Current number of ordered equations: 0
% Current number of rules: 564
% New rule produced :
% [761]
% sk2 join composition(sk1,complement(composition(converse(sk3),complement(sk1))))
% -> sk2
% Current number of equations to process: 2220
% Current number of ordered equations: 0
% Current number of rules: 565
% New rule produced :
% [762]
% sk2 join composition(sk1,complement(composition(converse(sk2),complement(sk1))))
% -> sk2
% Current number of equations to process: 2229
% Current number of ordered equations: 0
% Current number of rules: 566
% New rule produced :
% [763]
% sk3 join composition(sk1,complement(composition(converse(sk3),complement(sk1))))
% -> sk3
% Current number of equations to process: 2314
% Current number of ordered equations: 0
% Current number of rules: 567
% New rule produced :
% [764]
% sk3 join composition(sk1,complement(composition(converse(sk2),complement(sk1))))
% -> sk3
% Current number of equations to process: 2323
% Current number of ordered equations: 0
% Current number of rules: 568
% New rule produced :
% [765]
% converse(complement(converse(complement(A)))) join A ->
% converse(complement(converse(complement(A))))
% Rule
% [349]
% complement(converse(complement(converse(complement(A)))) join A) ->
% complement(converse(complement(converse(complement(A))))) collapsed.
% Current number of equations to process: 3207
% Current number of ordered equations: 0
% Current number of rules: 568
% New rule produced :
% [766]
% converse(complement(converse(A))) join complement(A join B) ->
% converse(complement(converse(A)))
% Current number of equations to process: 3287
% Current number of ordered equations: 0
% Current number of rules: 569
% New rule produced :
% [767]
% complement(composition(sk3,A)) join complement(composition(sk1,A)) ->
% complement(composition(sk1,A))
% Rule
% [403]
% complement(complement(composition(sk3,A)) join complement(composition(sk1,A)))
% -> composition(sk1,A) collapsed.
% Current number of equations to process: 3286
% Current number of ordered equations: 0
% Current number of rules: 569
% New rule produced :
% [768]
% composition(top,A) join complement(A join B) ->
% composition(top,A) join complement(B)
% Current number of equations to process: 3285
% Current number of ordered equations: 0
% Current number of rules: 570
% New rule produced :
% [769]
% complement(complement(composition(top,zero)) join A) join complement(one) ->
% complement(one)
% Current number of equations to process: 3284
% Current number of ordered equations: 0
% Current number of rules: 571
% New rule produced :
% [770]
% complement(sk2 join A) join complement(sk1 join A) -> complement(sk1 join A)
% Rule
% [397]
% complement(complement(sk2 join A) join complement(sk1 join A)) -> sk1 join A
% collapsed.
% Current number of equations to process: 3282
% Current number of ordered equations: 0
% Current number of rules: 571
% New rule produced :
% [771]
% complement(sk3 join A) join complement(sk1 join A) -> complement(sk1 join A)
% Rule
% [398]
% complement(complement(sk3 join A) join complement(sk1 join A)) -> sk1 join A
% collapsed.
% Current number of equations to process: 3281
% Current number of ordered equations: 0
% Current number of rules: 571
% New rule produced :
% [772]
% composition(top,complement(A)) join complement(A join B) ->
% composition(top,complement(A))
% Current number of equations to process: 3279
% Current number of ordered equations: 0
% Current number of rules: 572
% New rule produced :
% [773] complement(one) join complement(composition(A,zero)) -> top
% Rule [265] complement(one) join complement(composition(top,zero)) -> top
% collapsed.
% Current number of equations to process: 3456
% Current number of ordered equations: 0
% Current number of rules: 572
% New rule produced :
% [774]
% converse(composition(top,sk2)) join complement(converse(composition(A,sk1)))
% -> top
% Current number of equations to process: 3534
% Current number of ordered equations: 0
% Current number of rules: 573
% New rule produced :
% [775]
% converse(composition(top,sk3)) join complement(converse(composition(A,sk1)))
% -> top
% Current number of equations to process: 3659
% Current number of ordered equations: 0
% Current number of rules: 574
% New rule produced :
% [776] one join converse(complement(one join converse(A))) join A -> top
% Current number of equations to process: 4917
% Current number of ordered equations: 0
% Current number of rules: 575
% New rule produced :
% [777]
% converse(complement(composition(A,converse(zero)))) join converse(A) -> top
% Current number of equations to process: 3723
% Current number of ordered equations: 0
% Current number of rules: 576
% New rule produced :
% [778]
% composition(sk2,top) join complement(converse(composition(A,converse(sk1))))
% -> top
% Current number of equations to process: 4088
% Current number of ordered equations: 0
% Current number of rules: 577
% New rule produced :
% [779]
% composition(sk3,top) join complement(converse(composition(A,converse(sk1))))
% -> top
% Current number of equations to process: 4256
% Current number of ordered equations: 0
% Current number of rules: 578
% New rule produced :
% [780]
% complement(composition(top,complement(composition(top,complement(A))))) join A
% -> top
% Current number of equations to process: 2944
% Current number of ordered equations: 0
% Current number of rules: 579
% New rule produced :
% [781]
% converse(sk2) join composition(zero,complement(converse(sk1))) ->
% converse(sk2) join composition(zero,top)
% Current number of equations to process: 3986
% Current number of ordered equations: 0
% Current number of rules: 580
% New rule produced :
% [782]
% converse(composition(sk2,top)) join composition(top,complement(converse(sk1)))
% -> top
% Current number of equations to process: 3987
% Current number of ordered equations: 0
% Current number of rules: 581
% New rule produced :
% [783]
% converse(sk3) join composition(zero,complement(converse(sk1))) ->
% converse(sk3) join composition(zero,top)
% Current number of equations to process: 4203
% Current number of ordered equations: 0
% Current number of rules: 582
% New rule produced :
% [784]
% converse(composition(sk3,top)) join composition(top,complement(converse(sk1)))
% -> top
% Current number of equations to process: 4204
% Current number of ordered equations: 0
% Current number of rules: 583
% New rule produced :
% [785] composition(composition(A,top),top) -> composition(A,top)
% Current number of equations to process: 3398
% Current number of ordered equations: 0
% Current number of rules: 584
% Rule [542] composition(complement(one),zero) -> composition(top,zero) is composed into
% [542] composition(complement(one),zero) -> zero
% New rule produced : [786] composition(top,zero) -> zero
% Rule
% [415] complement(one) join complement(converse(composition(top,zero))) -> top
% collapsed.
% Rule
% [422]
% converse(complement(converse(composition(top,zero)))) join complement(one) ->
% top collapsed.
% Rule
% [449]
% one join complement(composition(top,zero)) ->
% complement(composition(top,zero)) collapsed.
% Rule [477] composition(top,zero) join A -> A collapsed.
% Rule
% [514]
% composition(top,complement(one)) join complement(composition(top,zero)) ->
% top collapsed.
% Rule
% [515]
% composition(top,complement(composition(top,zero))) join complement(one) ->
% top collapsed.
% Rule
% [615]
% one join complement(converse(composition(top,zero))) ->
% complement(converse(composition(top,zero))) collapsed.
% Rule
% [625]
% converse(composition(top,zero)) join composition(top,complement(one)) ->
% composition(top,complement(one)) collapsed.
% Rule
% [769]
% complement(complement(composition(top,zero)) join A) join complement(one) ->
% complement(one) collapsed.
% Current number of equations to process: 4190
% Current number of ordered equations: 0
% Current number of rules: 576
% New rule produced : [787] complement(converse(zero)) -> top
% Rule [441] converse(complement(converse(zero))) -> top collapsed.
% Rule [520] one join complement(converse(zero)) -> top collapsed.
% Rule
% [523]
% complement(one) join complement(converse(zero)) -> complement(converse(zero))
% collapsed.
% Rule
% [539]
% complement(one join A) join complement(converse(zero)) ->
% complement(converse(zero)) collapsed.
% Rule [558] converse(A) join complement(converse(zero)) -> top collapsed.
% Current number of equations to process: 4189
% Current number of ordered equations: 0
% Current number of rules: 572
% New rule produced :
% [788] composition(B,complement(composition(top,complement(A)))) join A -> A
% Rule
% [423] composition(top,complement(composition(top,complement(A)))) join A -> A
% collapsed.
% Current number of equations to process: 4188
% Current number of ordered equations: 0
% Current number of rules: 572
% New rule produced :
% [789]
% composition(top,complement(composition(top,sk3))) join complement(sk1) ->
% complement(sk1)
% Current number of equations to process: 4189
% Current number of ordered equations: 0
% Current number of rules: 573
% New rule produced :
% [790]
% composition(B,complement(composition(top,A))) join complement(A) ->
% complement(A)
% Rule
% [424]
% composition(top,complement(composition(top,A))) join complement(A) ->
% complement(A) collapsed.
% Current number of equations to process: 4223
% Current number of ordered equations: 0
% Current number of rules: 573
% New rule produced :
% [791]
% converse(composition(top,A)) join composition(complement(converse(A)),top) ->
% top
% Current number of equations to process: 4346
% Current number of ordered equations: 0
% Current number of rules: 574
% New rule produced :
% [792]
% converse(composition(top,sk2)) join composition(complement(converse(sk1)),top)
% -> top
% Current number of equations to process: 4345
% Current number of ordered equations: 0
% Current number of rules: 575
% New rule produced :
% [793]
% converse(composition(top,sk3)) join composition(complement(converse(sk1)),top)
% -> top
% Current number of equations to process: 4344
% Current number of ordered equations: 0
% Current number of rules: 576
% New rule produced :
% [794]
% composition(composition(A,sk1),complement(converse(composition(top,sk2)))) ->
% composition(A,zero)
% Current number of equations to process: 4343
% Current number of ordered equations: 0
% Current number of rules: 577
% New rule produced :
% [795]
% composition(sk1,composition(complement(converse(composition(top,sk2))),A)) ->
% composition(zero,A)
% Current number of equations to process: 4342
% Current number of ordered equations: 0
% Current number of rules: 578
% New rule produced :
% [796]
% composition(composition(A,sk1),complement(converse(composition(top,sk3)))) ->
% composition(A,zero)
% Current number of equations to process: 4341
% Current number of ordered equations: 0
% Current number of rules: 579
% New rule produced :
% [797]
% composition(sk1,composition(complement(converse(composition(top,sk3))),A)) ->
% composition(zero,A)
% Current number of equations to process: 4340
% Current number of ordered equations: 0
% Current number of rules: 580
% New rule produced :
% [798]
% complement(composition(A,complement(composition(top,complement(B))))) join B
% -> top
% Rule
% [780]
% complement(composition(top,complement(composition(top,complement(A))))) join A
% -> top collapsed.
% Current number of equations to process: 4337
% Current number of ordered equations: 0
% Current number of rules: 580
% New rule produced :
% [799]
% complement(composition(A,complement(composition(top,B)))) join complement(B)
% -> top
% Rule
% [435]
% complement(composition(top,complement(composition(top,A)))) join complement(A)
% -> top collapsed.
% Current number of equations to process: 4336
% Current number of ordered equations: 0
% Current number of rules: 580
% New rule produced :
% [800]
% composition(converse(sk1),composition(sk2,top)) ->
% converse(composition(top,sk1))
% Current number of equations to process: 2840
% Current number of ordered equations: 0
% Current number of rules: 581
% New rule produced :
% [801]
% composition(composition(A,converse(sk1)),complement(composition(sk2,top))) ->
% composition(A,zero)
% Current number of equations to process: 2852
% Current number of ordered equations: 0
% Current number of rules: 582
% New rule produced :
% [802]
% composition(converse(sk1),composition(complement(composition(sk2,top)),A)) ->
% composition(zero,A)
% Current number of equations to process: 2851
% Current number of ordered equations: 0
% Current number of rules: 583
% New rule produced :
% [803]
% composition(converse(sk1),composition(sk3,top)) ->
% converse(composition(top,sk1))
% Current number of equations to process: 2864
% Current number of ordered equations: 0
% Current number of rules: 584
% New rule produced :
% [804]
% converse(composition(converse(complement(composition(sk2,top))),composition(sk1,top)))
% -> zero
% Current number of equations to process: 2863
% Current number of ordered equations: 0
% Current number of rules: 585
% New rule produced :
% [805]
% composition(composition(A,converse(sk1)),complement(composition(sk3,top))) ->
% composition(A,zero)
% Current number of equations to process: 2875
% Current number of ordered equations: 0
% Current number of rules: 586
% New rule produced :
% [806]
% composition(converse(sk1),composition(complement(composition(sk3,top)),A)) ->
% composition(zero,A)
% Current number of equations to process: 2874
% Current number of ordered equations: 0
% Current number of rules: 587
% New rule produced :
% [807]
% converse(composition(converse(complement(composition(sk3,top))),composition(sk1,top)))
% -> zero
% Current number of equations to process: 2885
% Current number of ordered equations: 0
% Current number of rules: 588
% New rule produced :
% [808]
% composition(complement(converse(sk1)),complement(composition(sk2,top))) ->
% composition(top,complement(composition(sk2,top)))
% Current number of equations to process: 2915
% Current number of ordered equations: 0
% Current number of rules: 589
% New rule produced :
% [809]
% composition(converse(complement(composition(sk2,top))),composition(sk1,A)) ->
% composition(converse(zero),A)
% Rule
% [804]
% converse(composition(converse(complement(composition(sk2,top))),composition(sk1,top)))
% -> zero collapsed.
% Current number of equations to process: 2914
% Current number of ordered equations: 0
% Current number of rules: 589
% New rule produced :
% [810]
% composition(converse(composition(sk1,A)),complement(composition(sk2,top))) ->
% composition(converse(A),zero)
% Current number of equations to process: 2913
% Current number of ordered equations: 0
% Current number of rules: 590
% New rule produced :
% [811]
% composition(complement(converse(sk1)),complement(composition(sk3,top))) ->
% composition(top,complement(composition(sk3,top)))
% Current number of equations to process: 2910
% Current number of ordered equations: 0
% Current number of rules: 591
% New ruleCputime limit exceeded (core dumped)
%
% EOF
%------------------------------------------------------------------------------