%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : REL031-1 : TPTP v6.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n146.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 00:31:16 EDT 2014

% Result   : Timeout 300.05s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : REL031-1 : TPTP v6.0.0. Released v4.0.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n146.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 00:57:23 CDT 2014
% % CPUTime  : 300.05 
% Processing problem /tmp/CiME_20855_n146.star.cs.uiowa.edu
% #verbose 1;
% let F = signature "  join : AC; sk2,sk1,zero,top,one : constant;  converse : 1;  composition : 2;  meet : 2;  complement : 1;";
% let X = vars "A B C";
% let Axioms = equations F X "
% composition(composition(A,B),C) = composition(A,composition(B,C));
% A = complement(complement(A) join complement(B)) join complement(complement(A) join B);
% meet(A,B) = complement(complement(A) join complement(B));
% composition(A,one) = A;
% composition(A join B,C) = composition(A,C) join composition(B,C);
% converse(converse(A)) = A;
% converse(A join B) = converse(A) join converse(B);
% converse(composition(A,B)) = composition(converse(B),converse(A));
% composition(converse(A),complement(composition(A,B))) join complement(B) = complement(B);
% top = A join complement(A);
% zero = meet(A,complement(A));
% composition(converse(sk1),sk1) join one = one;
% composition(converse(sk2),sk2) join one = one;
% ";
% 
% let s1 = status F "
% sk2 lr_lex;
% sk1 lr_lex;
% zero lr_lex;
% top lr_lex;
% converse lr_lex;
% one lr_lex;
% meet lr_lex;
% complement lr_lex;
% composition mul;
% join mul;
% ";
% 
% let p1 = precedence F "
% meet > composition > complement > converse > join > one > top > zero > sk1 > sk2";
% 
% let s2 = status F "
% sk2 mul;
% sk1 mul;
% zero mul;
% top mul;
% converse mul;
% one mul;
% composition mul;
% meet mul;
% complement mul;
% join mul;
% ";
% 
% let p2 = precedence F "
% meet > composition > complement > converse > join > one = top = zero = sk1 = sk2";
% 
% let o_auto = AUTO Axioms;
% 
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 
% let Conjectures = equations F X " composition(converse(composition(sk1,sk2)),composition(sk1,sk2)) join one = one;"
% ;
% (*
% let Red_Axioms = normalize_equations Defining_rules Axioms;
% 
% let Red_Conjectures =  normalize_equations Defining_rules Conjectures;
% *)
% #time on;
% 
% let res = prove_conj_by_ordered_completion o Axioms Conjectures;
% 
% #time off;
% 
% 
% let status = if res then "unsatisfiable" else "satisfiable";
% #quit;
% Verbose level is now 1
% 
% F : signature = <signature>
% X : variable_set = <variable set>
% 
% Axioms : (F,X) equations = { composition(composition(A,B),C) =
% composition(A,composition(B,C)),
% A =
% complement(complement(A) join complement(B)) join 
% complement(complement(A) join B),
% meet(A,B) =
% complement(complement(A) join complement(B)),
% composition(A,one) = A,
% composition(A join B,C) =
% composition(A,C) join composition(B,C),
% converse(converse(A)) = A,
% converse(A join B) =
% converse(A) join converse(B),
% converse(composition(A,B)) =
% composition(converse(B),converse(A)),
% composition(converse(A),complement(composition(A,B))) join 
% complement(B) = complement(B),
% top = complement(A) join A,
% zero = meet(A,complement(A)),
% one join composition(converse(sk1),sk1) = one,
% one join composition(converse(sk2),sk2) = one }
% (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 = { one join composition(converse(composition(sk1,sk2)),
% composition(sk1,sk2)) = one }
% (1 equation(s))
% time is now on
% 
% Initializing completion ...
% New rule produced : [1] converse(converse(A)) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 13
% Current number of rules: 1
% New rule produced : [2] composition(A,one) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 12
% Current number of rules: 2
% New rule produced : [3] complement(A) join A -> top
% Current number of equations to process: 0
% Current number of ordered equations: 11
% Current number of rules: 3
% New rule produced : [4] meet(A,complement(A)) -> zero
% Current number of equations to process: 0
% Current number of ordered equations: 10
% Current number of rules: 4
% New rule produced : [5] one join composition(converse(sk1),sk1) -> one
% Current number of equations to process: 0
% Current number of ordered equations: 9
% Current number of rules: 5
% New rule produced : [6] one join composition(converse(sk2),sk2) -> one
% 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: 39
% Current number of ordered equations: 13
% 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: 39
% Current number of ordered equations: 12
% Current number of rules: 10
% New rule produced :
% [11] meet(A,B) -> complement(complement(A) join complement(B))
% Rule [4] meet(A,complement(A)) -> zero collapsed.
% Current number of equations to process: 40
% Current number of ordered equations: 11
% Current number of rules: 10
% New rule produced : [12] complement(top) -> zero
% Current number of equations to process: 39
% Current number of ordered equations: 11
% 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: 39
% Current number of ordered equations: 10
% 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: 39
% Current number of ordered equations: 9
% 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: 39
% Current number of ordered equations: 8
% Current number of rules: 14
% New rule produced : [16] top join complement(complement(A)) -> top join A
% Current number of equations to process: 39
% Current number of ordered equations: 7
% Current number of rules: 15
% New rule produced : [17] top join composition(converse(sk1),sk1) -> top
% Current number of equations to process: 39
% Current number of ordered equations: 6
% Current number of rules: 16
% New rule produced : [18] top join composition(converse(sk2),sk2) -> top
% Current number of equations to process: 39
% Current number of ordered equations: 5
% Current number of rules: 17
% New rule produced :
% [19] converse(complement(A)) join converse(A) -> converse(top)
% Current number of equations to process: 39
% Current number of ordered equations: 4
% Current number of rules: 18
% New rule produced :
% [20] converse(composition(B,converse(A))) <-> composition(A,converse(B))
% Current number of equations to process: 39
% Current number of ordered equations: 3
% Current number of rules: 19
% New rule produced :
% [21] converse(composition(converse(B),A)) <-> composition(converse(A),B)
% Current number of equations to process: 39
% Current number of ordered equations: 2
% Current number of rules: 20
% New rule produced :
% [22] composition(A,converse(B)) <-> converse(composition(B,converse(A)))
% Current number of equations to process: 39
% Current number of ordered equations: 1
% Current number of rules: 21
% New rule produced :
% [23] composition(converse(A),B) <-> converse(composition(converse(B),A))
% Current number of equations to process: 39
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [24] composition(A,composition(one,B)) -> composition(A,B)
% Current number of equations to process: 41
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced : [25] zero join top -> top
% Current number of equations to process: 47
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [26] one join complement(composition(converse(sk1),sk1)) -> top join one
% Current number of equations to process: 52
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [27] one join complement(composition(converse(sk2),sk2)) -> top join one
% Current number of equations to process: 51
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [28] converse(one) join composition(converse(sk1),sk1) -> converse(one)
% Current number of equations to process: 50
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [29] converse(one) join composition(converse(sk2),sk2) -> converse(one)
% Current number of equations to process: 49
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [30] composition(complement(B),A) join composition(B,A) -> composition(top,A)
% Current number of equations to process: 59
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [31] top join composition(converse(A),complement(composition(A,B))) -> top
% Current number of equations to process: 58
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [32] top join complement(A join B) join B -> top join complement(A)
% Current number of equations to process: 57
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [33]
% composition(A,converse(composition(B,C))) <->
% composition(composition(A,converse(C)),converse(B))
% Current number of equations to process: 56
% Current number of ordered equations: 1
% Current number of rules: 32
% New rule produced :
% [34]
% composition(composition(A,converse(C)),converse(B)) <->
% composition(A,converse(composition(B,C)))
% Current number of equations to process: 56
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [35]
% composition(converse(B),composition(converse(A),C)) <->
% composition(converse(composition(A,B)),C)
% Current number of equations to process: 55
% Current number of ordered equations: 1
% Current number of rules: 34
% New rule produced :
% [36]
% composition(converse(composition(A,B)),C) <->
% composition(converse(B),composition(converse(A),C))
% Current number of equations to process: 55
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [37] top join complement(complement(A join B) join B) -> top join A
% Current number of equations to process: 52
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [38]
% composition(A,composition(composition(B,C),V_3)) <->
% composition(composition(A,B),composition(C,V_3))
% Current number of equations to process: 51
% Current number of ordered equations: 1
% Current number of rules: 37
% New rule produced :
% [39]
% composition(composition(A,B),composition(C,V_3)) <->
% composition(A,composition(composition(B,C),V_3))
% Current number of equations to process: 51
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [40]
% composition(A,composition(composition(B,C),V_3)) <->
% composition(composition(composition(A,B),C),V_3)
% Current number of equations to process: 48
% Current number of ordered equations: 5
% Current number of rules: 39
% New rule produced :
% [41]
% composition(A,composition(B,composition(C,V_3))) <->
% composition(composition(A,composition(B,C)),V_3)
% Current number of equations to process: 48
% Current number of ordered equations: 4
% Current number of rules: 40
% New rule produced :
% [42]
% composition(A,composition(B,composition(C,V_3))) <->
% composition(composition(composition(A,B),C),V_3)
% Current number of equations to process: 48
% Current number of ordered equations: 3
% Current number of rules: 41
% New rule produced :
% [43]
% composition(composition(A,composition(B,C)),V_3) <->
% composition(A,composition(B,composition(C,V_3)))
% Current number of equations to process: 48
% Current number of ordered equations: 2
% Current number of rules: 42
% New rule produced :
% [44]
% composition(composition(composition(A,B),C),V_3) <->
% composition(A,composition(composition(B,C),V_3))
% Current number of equations to process: 48
% Current number of ordered equations: 1
% Current number of rules: 43
% New rule produced :
% [45]
% composition(composition(composition(A,B),C),V_3) <->
% composition(A,composition(B,composition(C,V_3)))
% Current number of equations to process: 48
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [46]
% composition(composition(A,composition(B,C)),V_3) <->
% composition(composition(A,B),composition(C,V_3))
% Current number of equations to process: 47
% Current number of ordered equations: 1
% Current number of rules: 45
% New rule produced :
% [47]
% composition(composition(A,B),composition(C,V_3)) <->
% composition(composition(A,composition(B,C)),V_3)
% Current number of equations to process: 47
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [48]
% composition(converse(A),complement(A)) join complement(one) ->
% complement(one)
% Current number of equations to process: 55
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [49]
% zero join composition(converse(A),complement(composition(A,top))) -> zero
% Current number of equations to process: 60
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [50] zero join complement(complement(A) join complement(A)) -> A
% Current number of equations to process: 88
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [51] top join complement(complement(A) join B) -> top join complement(B)
% Rule [37] top join complement(complement(A join B) join B) -> top join A
% collapsed.
% Current number of equations to process: 87
% Current number of ordered equations: 1
% Current number of rules: 49
% New rule produced : [52] top join A <-> top join complement(B)
% Rule [16] top join complement(complement(A)) -> top join A collapsed.
% Rule [17] top join composition(converse(sk1),sk1) -> top collapsed.
% Rule [18] top join composition(converse(sk2),sk2) -> top collapsed.
% Rule
% [31] top join composition(converse(A),complement(composition(A,B))) -> top
% collapsed.
% Rule [32] top join complement(A join B) join B -> top join complement(A)
% collapsed.
% Rule [51] top join complement(complement(A) join B) -> top join complement(B)
% collapsed.
% Current number of equations to process: 89
% Current number of ordered equations: 2
% Current number of rules: 44
% New rule produced : [53] top join complement(sk2) -> top
% Current number of equations to process: 88
% Current number of ordered equations: 2
% Current number of rules: 45
% Rule [52] top join A <-> top join complement(B) is composed into [52]
% top join A
% -> top
% New rule produced : [54] top join complement(B) -> top
% Rule [53] top join complement(sk2) -> top collapsed.
% Current number of equations to process: 87
% Current number of ordered equations: 1
% Current number of rules: 45
% New rule produced :
% [55] zero join complement(complement(complement(A)) join A) -> complement(A)
% Current number of equations to process: 86
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced : [56] complement(complement(A)) -> A
% Rule
% [55] zero join complement(complement(complement(A)) join A) -> complement(A)
% collapsed.
% Current number of equations to process: 85
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced : [57] zero join complement(A join A) -> complement(A)
% Rule [50] zero join complement(complement(A) join complement(A)) -> A
% collapsed.
% Current number of equations to process: 84
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [58]
% converse(composition(C,A join B)) ->
% converse(composition(C,A)) join converse(composition(C,B))
% Current number of equations to process: 82
% Current number of ordered equations: 1
% Current number of rules: 47
% New rule produced :
% [59]
% composition(converse(A),converse(B) join converse(C)) ->
% converse(composition(B,A)) join converse(composition(C,A))
% Current number of equations to process: 82
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [60]
% composition(A,complement(composition(converse(A),B))) join complement(B) ->
% complement(B)
% Current number of equations to process: 81
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [61]
% composition(one,A) join composition(composition(converse(sk1),sk1),A) ->
% composition(one,A)
% Current number of equations to process: 77
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [62]
% composition(one,A) join composition(composition(converse(sk2),sk2),A) ->
% composition(one,A)
% Current number of equations to process: 76
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [63]
% converse(complement(A join B)) join converse(A) join converse(B) ->
% converse(top)
% Current number of equations to process: 73
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced : [64] zero join complement(zero join complement(A)) -> A
% Current number of equations to process: 87
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [65]
% complement(complement(A) join B) join B <->
% complement(complement(B) join A) join A
% Current number of equations to process: 86
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [66] complement(zero join complement(A)) join complement(zero join A) -> top
% Current number of equations to process: 84
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced : [67] converse(top) join complement(converse(A)) -> top
% Current number of equations to process: 104
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [68] converse(complement(converse(A))) join A -> converse(top)
% Current number of equations to process: 103
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced : [69] converse(zero) join converse(top) -> converse(top)
% Current number of equations to process: 104
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced : [70] composition(converse(one),A) -> A
% Current number of equations to process: 113
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced : [71] converse(top) join converse(A) -> converse(top)
% Rule [69] converse(zero) join converse(top) -> converse(top) collapsed.
% Current number of equations to process: 146
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [72]
% converse(composition(converse(A),B)) <->
% composition(converse(composition(one,B)),A)
% Current number of equations to process: 150
% Current number of ordered equations: 1
% Current number of rules: 60
% New rule produced :
% [73]
% composition(converse(composition(one,B)),A) <->
% converse(composition(converse(A),B))
% Current number of equations to process: 150
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [74] composition(zero,A) join composition(top,A) -> composition(top,A)
% Current number of equations to process: 149
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [75]
% composition(A,converse(composition(B,converse(one)))) ->
% composition(A,converse(B))
% Current number of equations to process: 151
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [76]
% converse(composition(converse(composition(one,A)),B)) <->
% composition(converse(B),A)
% Current number of equations to process: 150
% Current number of ordered equations: 1
% Current number of rules: 64
% New rule produced :
% [77]
% composition(converse(B),A) <->
% converse(composition(converse(composition(one,A)),B))
% Current number of equations to process: 150
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [78]
% composition(A,composition(composition(one,B),C)) ->
% composition(A,composition(B,C))
% Current number of equations to process: 149
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [79]
% converse(composition(A,composition(B,converse(C)))) <->
% composition(C,converse(composition(A,B)))
% Current number of equations to process: 146
% Current number of ordered equations: 1
% Current number of rules: 67
% New rule produced :
% [80]
% composition(C,converse(composition(A,B))) <->
% converse(composition(A,composition(B,converse(C))))
% Current number of equations to process: 146
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [81]
% converse(composition(composition(converse(A),B),C)) <->
% composition(converse(composition(B,C)),A)
% Current number of equations to process: 145
% Current number of ordered equations: 1
% Current number of rules: 69
% New rule produced :
% [82]
% composition(converse(composition(B,C)),A) <->
% converse(composition(composition(converse(A),B),C))
% Current number of equations to process: 145
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [83]
% composition(A,converse(composition(B,converse(C)))) <->
% composition(composition(A,C),converse(B))
% Current number of equations to process: 144
% Current number of ordered equations: 1
% Current number of rules: 71
% New rule produced :
% [84]
% composition(composition(A,C),converse(B)) <->
% composition(A,converse(composition(B,converse(C))))
% Current number of equations to process: 144
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [85]
% converse(composition(C,converse(composition(A,B)))) <->
% composition(A,composition(B,converse(C)))
% Current number of equations to process: 142
% Current number of ordered equations: 3
% Current number of rules: 73
% New rule produced :
% [86]
% composition(A,composition(B,converse(C))) <->
% converse(composition(C,converse(composition(A,B))))
% Current number of equations to process: 142
% Current number of ordered equations: 2
% Current number of rules: 74
% New rule produced :
% [87]
% composition(B,composition(converse(A),C)) <->
% composition(converse(composition(A,converse(B))),C)
% Current number of equations to process: 142
% Current number of ordered equations: 1
% Current number of rules: 75
% New rule produced :
% [88]
% composition(converse(composition(A,converse(B))),C) <->
% composition(B,composition(converse(A),C))
% Current number of equations to process: 142
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [89]
% converse(composition(converse(composition(B,C)),A)) <->
% composition(composition(converse(A),B),C)
% Current number of equations to process: 140
% Current number of ordered equations: 3
% Current number of rules: 77
% New rule produced :
% [90]
% composition(A,converse(composition(converse(B),C))) <->
% composition(composition(A,converse(C)),B)
% Current number of equations to process: 140
% Current number of ordered equations: 2
% Current number of rules: 78
% New rule produced :
% [91]
% composition(composition(converse(A),B),C) <->
% converse(composition(converse(composition(B,C)),A))
% Current number of equations to process: 140
% Current number of ordered equations: 1
% Current number of rules: 79
% New rule produced :
% [92]
% composition(composition(A,converse(C)),B) <->
% composition(A,converse(composition(converse(B),C)))
% Current number of equations to process: 140
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [93]
% composition(converse(B),composition(A,C)) <->
% composition(converse(composition(converse(A),B)),C)
% Current number of equations to process: 139
% Current number of ordered equations: 1
% Current number of rules: 81
% New rule produced :
% [94]
% composition(converse(composition(converse(A),B)),C) <->
% composition(converse(B),composition(A,C))
% Current number of equations to process: 139
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [95]
% converse(one) join converse(complement(composition(converse(sk1),sk1))) ->
% converse(top)
% Current number of equations to process: 138
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [96]
% converse(one) join converse(complement(composition(converse(sk2),sk2))) ->
% converse(top)
% Current number of equations to process: 147
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [97] converse(one) join complement(composition(converse(sk1),sk1)) -> top
% Current number of equations to process: 154
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [98] composition(composition(converse(sk1),sk1),A) join A -> A
% Current number of equations to process: 156
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced :
% [99] converse(top) join complement(converse(A) join B) join B -> top
% Current number of equations to process: 155
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [100]
% converse(composition(C,composition(B,converse(A)))) <->
% composition(composition(A,converse(B)),converse(C))
% Current number of equations to process: 153
% Current number of ordered equations: 3
% Current number of rules: 88
% New rule produced :
% [101]
% converse(composition(composition(C,converse(B)),A)) <->
% composition(converse(A),composition(B,converse(C)))
% Current number of equations to process: 153
% Current number of ordered equations: 2
% Current number of rules: 89
% New rule produced :
% [102]
% composition(converse(A),composition(B,converse(C))) <->
% converse(composition(composition(C,converse(B)),A))
% Current number of equations to process: 153
% Current number of ordered equations: 1
% Current number of rules: 90
% New rule produced :
% [103]
% composition(composition(A,converse(B)),converse(C)) <->
% converse(composition(C,composition(B,converse(A))))
% Current number of equations to process: 153
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [104]
% converse(composition(C,composition(converse(B),A))) <->
% composition(composition(converse(A),B),converse(C))
% Current number of equations to process: 150
% Current number of ordered equations: 3
% Current number of rules: 92
% New rule produced :
% [105]
% converse(composition(composition(converse(C),B),A)) <->
% composition(converse(A),composition(converse(B),C))
% Current number of equations to process: 150
% Current number of ordered equations: 2
% Current number of rules: 93
% New rule produced :
% [106]
% composition(converse(A),composition(converse(B),C)) <->
% converse(composition(composition(converse(C),B),A))
% Current number of equations to process: 150
% Current number of ordered equations: 1
% Current number of rules: 94
% New rule produced :
% [107]
% composition(composition(converse(A),B),converse(C)) <->
% converse(composition(C,composition(converse(B),A)))
% Current number of equations to process: 150
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [108] converse(top) join composition(converse(sk1),sk1) -> converse(top)
% Current number of equations to process: 147
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [109] converse(one) join complement(composition(converse(sk2),sk2)) -> top
% Current number of equations to process: 150
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced :
% [110] composition(composition(converse(sk2),sk2),A) join A -> A
% Current number of equations to process: 152
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [111] converse(top) join composition(converse(sk2),sk2) -> converse(top)
% Current number of equations to process: 152
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [112] composition(top,A) join complement(composition(B,A)) -> top
% Current number of equations to process: 174
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [113]
% one join composition(complement(converse(sk1)),sk1) ->
% one join composition(top,sk1)
% Current number of equations to process: 177
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [114]
% one join composition(complement(converse(sk2)),sk2) ->
% one join composition(top,sk2)
% Current number of equations to process: 176
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [115]
% composition(composition(A,converse(one)),converse(B)) ->
% composition(A,converse(B))
% Current number of equations to process: 192
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [116]
% converse(composition(composition(C,converse(B)),converse(A))) <->
% composition(A,composition(B,converse(C)))
% Current number of equations to process: 195
% Current number of ordered equations: 1
% Current number of rules: 104
% New rule produced :
% [117]
% composition(A,composition(B,converse(C))) <->
% converse(composition(composition(C,converse(B)),converse(A)))
% Current number of equations to process: 195
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [118]
% converse(composition(composition(converse(C),B),converse(A))) <->
% composition(A,composition(converse(B),C))
% Current number of equations to process: 194
% Current number of ordered equations: 1
% Current number of rules: 106
% New rule produced :
% [119]
% composition(A,composition(converse(B),C)) <->
% converse(composition(composition(converse(C),B),converse(A)))
% Current number of equations to process: 194
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [120]
% converse(composition(converse(C),composition(B,converse(A)))) <->
% composition(composition(A,converse(B)),C)
% Current number of equations to process: 193
% Current number of ordered equations: 1
% Current number of rules: 108
% New rule produced :
% [121]
% composition(composition(A,converse(B)),C) <->
% converse(composition(converse(C),composition(B,converse(A))))
% Current number of equations to process: 193
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [122]
% converse(composition(converse(C),composition(converse(B),A))) <->
% composition(composition(converse(A),B),C)
% Current number of equations to process: 192
% Current number of ordered equations: 1
% Current number of rules: 110
% New rule produced :
% [123]
% composition(composition(converse(A),B),C) <->
% converse(composition(converse(C),composition(converse(B),A)))
% Current number of equations to process: 192
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [124]
% converse(one) join composition(complement(converse(sk1)),sk1) ->
% converse(one) join composition(top,sk1)
% Current number of equations to process: 189
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [125]
% converse(one) join composition(complement(converse(sk2)),sk2) ->
% converse(one) join composition(top,sk2)
% Current number of equations to process: 188
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [126]
% converse(composition(composition(A,B),converse(C))) <->
% composition(composition(C,converse(B)),converse(A))
% Current number of equations to process: 203
% Current number of ordered equations: 1
% Current number of rules: 114
% New rule produced :
% [127]
% composition(composition(C,converse(B)),converse(A)) <->
% converse(composition(composition(A,B),converse(C)))
% Current number of equations to process: 203
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced :
% [128]
% converse(composition(composition(A,converse(B)),converse(C))) <->
% composition(composition(C,B),converse(A))
% Current number of equations to process: 202
% Current number of ordered equations: 1
% Current number of rules: 116
% New rule produced :
% [129]
% composition(composition(C,B),converse(A)) <->
% converse(composition(composition(A,converse(B)),converse(C)))
% Current number of equations to process: 202
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [130]
% converse(composition(A,converse(composition(B,C)))) <->
% composition(B,converse(composition(A,converse(C))))
% Current number of equations to process: 218
% Current number of ordered equations: 1
% Current number of rules: 118
% New rule produced :
% [131]
% composition(B,converse(composition(A,converse(C)))) <->
% converse(composition(A,converse(composition(B,C))))
% Current number of equations to process: 218
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [132]
% converse(composition(A,converse(composition(B,converse(C))))) <->
% composition(B,converse(composition(A,C)))
% Current number of equations to process: 217
% Current number of ordered equations: 1
% Current number of rules: 120
% New rule produced :
% [133]
% composition(B,converse(composition(A,C))) <->
% converse(composition(A,converse(composition(B,converse(C)))))
% Current number of equations to process: 217
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [134]
% converse(composition(converse(composition(A,B)),C)) <->
% composition(converse(composition(converse(A),C)),B)
% Current number of equations to process: 232
% Current number of ordered equations: 1
% Current number of rules: 122
% New rule produced :
% [135]
% composition(converse(composition(converse(A),C)),B) <->
% converse(composition(converse(composition(A,B)),C))
% Current number of equations to process: 232
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [136]
% converse(composition(converse(composition(converse(A),B)),C)) <->
% composition(converse(composition(A,C)),B)
% Current number of equations to process: 231
% Current number of ordered equations: 1
% Current number of rules: 124
% New rule produced :
% [137]
% composition(converse(composition(A,C)),B) <->
% converse(composition(converse(composition(converse(A),B)),C))
% Current number of equations to process: 231
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [138]
% converse(composition(converse(A),composition(B,C))) <->
% composition(converse(C),composition(converse(B),A))
% Current number of equations to process: 251
% Current number of ordered equations: 1
% Current number of rules: 126
% New rule produced :
% [139]
% composition(converse(C),composition(converse(B),A)) <->
% converse(composition(converse(A),composition(B,C)))
% Current number of equations to process: 251
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [140]
% converse(composition(converse(A),composition(converse(B),C))) <->
% composition(converse(C),composition(B,A))
% Current number of equations to process: 252
% Current number of ordered equations: 1
% Current number of rules: 128
% New rule produced :
% [141]
% composition(converse(C),composition(B,A)) <->
% converse(composition(converse(A),composition(converse(B),C)))
% Current number of equations to process: 252
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [142]
% composition(A,complement(converse(A))) join complement(one) ->
% complement(one)
% Current number of equations to process: 771
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [143]
% converse(composition(converse(zero),top)) join complement(one) ->
% complement(one)
% Current number of equations to process: 770
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [144]
% complement(one) join complement(composition(converse(A),complement(A))) ->
% top
% Current number of equations to process: 772
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced : [145] zero join one -> one
% Current number of equations to process: 775
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [146]
% zero join composition(A,complement(composition(converse(A),top))) -> zero
% Current number of equations to process: 795
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [147]
% zero join complement(composition(converse(A),complement(composition(A,top))))
% -> top
% Current number of equations to process: 794
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [148] composition(top,A) join composition(B,A) -> composition(top,A)
% Rule [74] composition(zero,A) join composition(top,A) -> composition(top,A)
% collapsed.
% Current number of equations to process: 803
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced : [149] complement(zero) -> top
% Current number of equations to process: 805
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced : [150] zero join zero -> zero
% Current number of equations to process: 812
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced : [151] complement(complement(A join A) join A) -> zero
% Current number of equations to process: 822
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [152] complement(complement(A join A) join A join B) -> zero
% Current number of equations to process: 820
% Current number of ordered equations: 1
% Current number of rules: 139
% New rule produced :
% [153] complement(zero join A) join complement(B) join A -> top
% Current number of equations to process: 820
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced : [154] A join A <-> zero join A
% Current number of equations to process: 825
% Current number of ordered equations: 1
% Current number of rules: 141
% New rule produced : [155] zero join A <-> A join A
% Current number of equations to process: 825
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [156]
% converse(zero) join converse(complement(A join A)) -> converse(complement(A))
% Current number of equations to process: 833
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [157]
% converse(composition(converse(A),complement(A))) join complement(one) ->
% complement(one)
% Current number of equations to process: 832
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [158]
% composition(converse(A),complement(composition(A,complement(B)))) join B -> B
% Current number of equations to process: 831
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [159]
% complement(B join B) join complement(A) <->
% complement(A join A) join complement(B)
% Current number of equations to process: 830
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [160]
% 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: 839
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [161] composition(A,B join C) -> composition(A,B) join composition(A,C)
% Rule
% [58]
% converse(composition(C,A join B)) ->
% converse(composition(C,A)) join converse(composition(C,B)) collapsed.
% Rule
% [59]
% composition(converse(A),converse(B) join converse(C)) ->
% converse(composition(B,A)) join converse(composition(C,A)) collapsed.
% Current number of equations to process: 856
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [162]
% composition(A,complement(composition(converse(A),complement(B)))) join B -> B
% Current number of equations to process: 899
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [163]
% composition(converse(B),complement(composition(B,top))) join complement(A) ->
% complement(A)
% Current number of equations to process: 916
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [164]
% converse(composition(A,top)) join converse(composition(A,B)) ->
% converse(composition(A,top))
% Current number of equations to process: 915
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [165]
% converse(composition(A,composition(converse(sk1),sk1))) join converse(A) ->
% converse(A)
% Current number of equations to process: 914
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [166]
% converse(composition(A,composition(converse(sk2),sk2))) join converse(A) ->
% converse(A)
% Current number of equations to process: 913
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [167] converse(top) join complement(converse(A) join converse(B)) -> top
% Current number of equations to process: 958
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [168]
% converse(composition(converse(A),complement(A))) join converse(complement(one))
% -> converse(complement(one))
% Current number of equations to process: 979
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [169] complement(complement(A join B join B) join A join B) -> zero
% Current number of equations to process: 977
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [170]
% complement(composition(A,complement(composition(converse(A),B)))) join 
% complement(B) -> top
% Current number of equations to process: 976
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [171]
% composition(one,A) join complement(composition(composition(converse(sk1),sk1),A))
% -> top
% Current number of equations to process: 975
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [172]
% composition(one,A) join composition(converse(sk1),composition(sk1,A)) ->
% composition(one,A)
% Current number of equations to process: 974
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [173]
% composition(one,A) join complement(composition(composition(converse(sk2),sk2),A))
% -> top
% Current number of equations to process: 973
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [174]
% composition(one,A) join composition(converse(sk2),composition(sk2,A)) ->
% composition(one,A)
% Current number of equations to process: 972
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [175]
% complement(converse(complement(A join A)) join converse(A)) ->
% zero join complement(converse(top))
% Current number of equations to process: 970
% Current number of ordered equations: 0
% Current number of rules: 158
% Rule [175]
% complement(converse(complement(A join A)) join converse(A)) ->
% zero join complement(converse(top)) is composed into [175]
% complement(
% converse(complement(
% A join A)) join 
% converse(A)) ->
% zero join complement(top)
% Rule [96]
% converse(one) join converse(complement(composition(converse(sk2),sk2)))
% -> converse(top) is composed into [96]
% converse(one) join converse(complement(
% composition(
% converse(sk2),sk2)))
% -> top
% Rule [95]
% converse(one) join converse(complement(composition(converse(sk1),sk1)))
% -> converse(top) is composed into [95]
% converse(one) join converse(complement(
% composition(
% converse(sk1),sk1)))
% -> top
% Rule [68] converse(complement(converse(A))) join A -> converse(top) is composed into 
% [68] converse(complement(converse(A))) join A -> 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 [19] converse(complement(A)) join converse(A) -> converse(top) is composed into 
% [19] converse(complement(A)) join converse(A) -> top
% New rule produced : [176] converse(top) -> top
% Rule [67] converse(top) join complement(converse(A)) -> top collapsed.
% Rule [71] converse(top) join converse(A) -> converse(top) collapsed.
% Rule [99] converse(top) join complement(converse(A) join B) join B -> top
% collapsed.
% Rule [108] converse(top) join composition(converse(sk1),sk1) -> converse(top)
% collapsed.
% Rule [111] converse(top) join composition(converse(sk2),sk2) -> converse(top)
% collapsed.
% Rule [167] converse(top) join complement(converse(A) join converse(B)) -> top
% collapsed.
% Current number of equations to process: 971
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced : [177] complement(zero join A) join A join B -> top
% Rule [153] complement(zero join A) join complement(B) join A -> top
% collapsed.
% Current number of equations to process: 981
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced : [178] 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: 982
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced : [179] complement(zero join A) join A -> top
% Rule [177] complement(zero join A) join A join B -> top collapsed.
% Current number of equations to process: 982
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [180] composition(converse(B),complement(composition(B,top))) join A -> A
% Rule
% [49]
% zero join composition(converse(A),complement(composition(A,top))) -> zero
% collapsed.
% Rule
% [163]
% composition(converse(B),complement(composition(B,top))) join complement(A) ->
% complement(A) collapsed.
% Current number of equations to process: 981
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [181]
% converse(zero) join converse(complement(zero join complement(A))) ->
% converse(A)
% Current number of equations to process: 980
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced : [182] zero join A join A -> zero join A
% Current number of equations to process: 1125
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [183]
% complement(zero join complement(A)) join complement(B) ->
% complement(B) join A
% Current number of equations to process: 1123
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [184] converse(complement(converse(zero))) join complement(A) -> top
% Current number of equations to process: 1225
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced : [185] converse(one) -> one
% Rule [28] converse(one) join composition(converse(sk1),sk1) -> converse(one)
% collapsed.
% Rule [29] converse(one) join composition(converse(sk2),sk2) -> converse(one)
% collapsed.
% Rule [70] composition(converse(one),A) -> A collapsed.
% Rule
% [75]
% composition(A,converse(composition(B,converse(one)))) ->
% composition(A,converse(B)) collapsed.
% Rule
% [95]
% converse(one) join converse(complement(composition(converse(sk1),sk1))) ->
% top collapsed.
% Rule
% [96]
% converse(one) join converse(complement(composition(converse(sk2),sk2))) ->
% top collapsed.
% Rule
% [97] converse(one) join complement(composition(converse(sk1),sk1)) -> top
% collapsed.
% Rule
% [109] converse(one) join complement(composition(converse(sk2),sk2)) -> top
% collapsed.
% Rule
% [115]
% composition(composition(A,converse(one)),converse(B)) ->
% composition(A,converse(B)) collapsed.
% Rule
% [124]
% converse(one) join composition(complement(converse(sk1)),sk1) ->
% converse(one) join composition(top,sk1) collapsed.
% Rule
% [125]
% converse(one) join composition(complement(converse(sk2)),sk2) ->
% converse(one) join composition(top,sk2) collapsed.
% Current number of equations to process: 1246
% Current number of ordered equations: 0
% Current number of rules: 146
% Rule [77]
% composition(converse(B),A) <->
% converse(composition(converse(composition(one,A)),B)) is composed into 
% [77] composition(converse(B),A) <-> converse(composition(converse(A),B))
% Rule [72]
% converse(composition(converse(A),B)) <->
% composition(converse(composition(one,B)),A) is composed into [72]
% converse(
% composition(
% converse(A),B))
% <->
% composition(
% converse(B),A)
% New rule produced : [186] composition(one,A) -> A
% Rule [24] composition(A,composition(one,B)) -> composition(A,B) collapsed.
% Rule
% [61]
% composition(one,A) join composition(composition(converse(sk1),sk1),A) ->
% composition(one,A) collapsed.
% Rule
% [62]
% composition(one,A) join composition(composition(converse(sk2),sk2),A) ->
% composition(one,A) collapsed.
% Rule
% [73]
% composition(converse(composition(one,B)),A) <->
% converse(composition(converse(A),B)) collapsed.
% Rule
% [76]
% converse(composition(converse(composition(one,A)),B)) <->
% composition(converse(B),A) collapsed.
% Rule
% [78]
% composition(A,composition(composition(one,B),C)) ->
% composition(A,composition(B,C)) collapsed.
% Rule
% [171]
% composition(one,A) join complement(composition(composition(converse(sk1),sk1),A))
% -> top collapsed.
% Rule
% [172]
% composition(one,A) join composition(converse(sk1),composition(sk1,A)) ->
% composition(one,A) collapsed.
% Rule
% [173]
% composition(one,A) join complement(composition(composition(converse(sk2),sk2),A))
% -> top collapsed.
% Rule
% [174]
% composition(one,A) join composition(converse(sk2),composition(sk2,A)) ->
% composition(one,A) collapsed.
% Current number of equations to process: 1249
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [187] one join converse(complement(composition(converse(sk1),sk1))) -> top
% Current number of equations to process: 1248
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [188] one join converse(complement(composition(converse(sk2),sk2))) -> top
% Current number of equations to process: 1247
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [189] composition(converse(sk1),composition(sk1,A)) join A -> A
% Current number of equations to process: 1246
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [190] composition(converse(sk2),composition(sk2,A)) join A -> A
% Current number of equations to process: 1245
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [191] composition(complement(one),A) join A -> composition(top,A)
% Current number of equations to process: 1244
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [192] complement(composition(composition(converse(sk1),sk1),A)) join A -> top
% Current number of equations to process: 1244
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [193] complement(composition(composition(converse(sk2),sk2),A)) join A -> top
% Current number of equations to process: 1243
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [194]
% converse(complement(converse(composition(A,B)))) join composition(top,B) ->
% top
% Current number of equations to process: 1326
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [195]
% converse(complement(converse(complement(A join A)))) join complement(A) ->
% top
% Current number of equations to process: 1325
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [196]
% composition(B,converse(composition(converse(C),A))) <->
% composition(converse(composition(A,converse(B))),C)
% Current number of equations to process: 1324
% Current number of ordered equations: 1
% Current number of rules: 147
% New rule produced :
% [197]
% composition(converse(composition(A,converse(B))),C) <->
% composition(B,converse(composition(converse(C),A)))
% Current number of equations to process: 1324
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [198]
% converse(composition(composition(A,converse(B)),C)) <->
% composition(composition(converse(C),B),converse(A))
% Current number of equations to process: 1536
% Current number of ordered equations: 1
% Current number of rules: 149
% New rule produced :
% [199]
% composition(composition(converse(C),B),converse(A)) <->
% converse(composition(composition(A,converse(B)),C))
% Current number of equations to process: 1536
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [200]
% converse(composition(A,composition(converse(B),C))) <->
% composition(converse(C),composition(B,converse(A)))
% Current number of equations to process: 1649
% Current number of ordered equations: 1
% Current number of rules: 151
% New rule produced :
% [201]
% composition(converse(C),composition(B,converse(A))) <->
% converse(composition(A,composition(converse(B),C)))
% Current number of equations to process: 1649
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [202]
% converse(composition(converse(C),composition(B,converse(A)))) <->
% composition(A,composition(converse(B),C))
% Current number of equations to process: 2408
% Current number of ordered equations: 1
% Current number of rules: 153
% New rule produced :
% [203]
% composition(A,composition(converse(B),C)) <->
% converse(composition(converse(C),composition(B,converse(A))))
% Current number of equations to process: 2408
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [204]
% converse(composition(composition(converse(C),B),converse(A))) <->
% composition(composition(A,converse(B)),C)
% Current number of equations to process: 2407
% Current number of ordered equations: 1
% Current number of rules: 155
% New rule produced :
% [205]
% composition(composition(A,converse(B)),C) <->
% converse(composition(composition(converse(C),B),converse(A)))
% Current number of equations to process: 2407
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [206]
% converse(composition(composition(converse(sk1),sk1),A)) join converse(A) ->
% converse(A)
% Current number of equations to process: 2404
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [207]
% converse(composition(composition(A,converse(sk1)),sk1)) join converse(A) ->
% converse(A)
% Current number of equations to process: 2403
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [208]
% converse(composition(top,A)) join converse(complement(composition(B,A))) ->
% top
% Current number of equations to process: 3183
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [209]
% composition(top,converse(A)) join complement(converse(composition(A,B))) ->
% top
% Current number of equations to process: 3182
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [210]
% composition(top,A) join complement(composition(B,composition(C,A))) -> top
% Current number of equations to process: 3181
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [211]
% converse(composition(A,top)) join complement(composition(B,converse(A))) ->
% top
% Current number of equations to process: 3180
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [212]
% composition(top,A) join complement(converse(composition(converse(A),B))) ->
% top
% Current number of equations to process: 3179
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [213]
% converse(composition(composition(converse(sk2),sk2),A)) join converse(A) ->
% converse(A)
% Current number of equations to process: 3251
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [214]
% converse(composition(composition(A,converse(sk2)),sk2)) join converse(A) ->
% converse(A)
% Current number of equations to process: 3250
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [215]
% one join converse(composition(complement(converse(sk1)),sk1)) ->
% one join converse(composition(top,sk1))
% Current number of equations to process: 3249
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [216]
% one join converse(composition(complement(converse(sk2)),sk2)) ->
% one join converse(composition(top,sk2))
% Current number of equations to process: 3248
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [217]
% complement(one) join complement(composition(A,complement(converse(A)))) ->
% top
% Current number of equations to process: 3266
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [218]
% complement(one) join complement(converse(composition(converse(zero),top))) ->
% top
% Current number of equations to process: 3342
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [219]
% converse(complement(one)) join composition(converse(zero),top) ->
% converse(complement(one))
% Current number of equations to process: 3341
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [220] composition(top,zero) join complement(one) -> complement(one)
% Current number of equations to process: 3344
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [221]
% converse(complement(composition(converse(zero),top))) join complement(one) ->
% top
% Current number of equations to process: 3343
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [222] complement(one) join complement(composition(top,zero)) -> top
% Current number of equations to process: 3358
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [223]
% complement(one) join complement(converse(composition(converse(A),complement(A))))
% -> top
% Current number of equations to process: 3365
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced : [224] one join converse(zero) -> one
% Current number of equations to process: 3427
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced : [225] composition(zero,A) join A -> A
% Current number of equations to process: 3429
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced : [226] one join converse(complement(one)) -> top
% Current number of equations to process: 3432
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [227] one join converse(complement(converse(zero))) -> top
% Current number of equations to process: 3441
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [228] one join complement(A join A) -> one join complement(A)
% Current number of equations to process: 3443
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [229] one join complement(zero join complement(A)) -> one join A
% Current number of equations to process: 3442
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [230]
% zero join composition(A,complement(converse(composition(top,A)))) -> zero
% Current number of equations to process: 3457
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [231]
% zero join complement(composition(A,complement(composition(converse(A),top))))
% -> top
% Current number of equations to process: 3458
% Current number of ordered equations: 0
% Current number of rules: 182
% Rule [175]
% complement(converse(complement(A join A)) join converse(A)) ->
% zero join complement(top) is composed into [175]
% complement(converse(complement(
% A join A)) join 
% converse(A)) ->
% complement(top)
% Rule [154] A join A <-> zero join A is composed into [154] A join A -> A
% New rule produced : [232] zero join A -> A
% Rule [25] zero join top -> top collapsed.
% Rule [57] zero join complement(A join A) -> complement(A) collapsed.
% Rule [145] zero join one -> one collapsed.
% Rule
% [146]
% zero join composition(A,complement(composition(converse(A),top))) -> zero
% collapsed.
% Rule
% [147]
% zero join complement(composition(converse(A),complement(composition(A,top))))
% -> top collapsed.
% Rule [150] zero join zero -> zero collapsed.
% Rule [155] zero join A <-> A join A collapsed.
% Rule [178] zero join complement(zero join A) -> complement(A) collapsed.
% Rule [179] complement(zero join A) join A -> top collapsed.
% Rule
% [181]
% converse(zero) join converse(complement(zero join complement(A))) ->
% converse(A) collapsed.
% Rule [182] zero join A join A -> zero join A collapsed.
% Rule
% [183]
% complement(zero join complement(A)) join complement(B) ->
% complement(B) join A collapsed.
% Rule [229] one join complement(zero join complement(A)) -> one join A
% collapsed.
% Rule
% [230]
% zero join composition(A,complement(converse(composition(top,A)))) -> zero
% collapsed.
% Rule
% [231]
% zero join complement(composition(A,complement(composition(converse(A),top))))
% -> top collapsed.
% Current number of equations to process: 3470
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [233] composition(A,complement(composition(converse(A),top))) -> zero
% Current number of equations to process: 3468
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [234] composition(A,complement(converse(composition(top,A)))) -> zero
% Current number of equations to process: 3467
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced : [235] converse(zero) join converse(A) -> converse(A)
% Rule
% [156]
% converse(zero) join converse(complement(A join A)) -> converse(complement(A))
% collapsed.
% Current number of equations to process: 3466
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [236]
% complement(composition(converse(A),complement(composition(A,top)))) -> top
% Current number of equations to process: 3465
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [237] composition(converse(zero),top) join complement(one) -> complement(one)
% Current number of equations to process: 3567
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [238] complement(one) join complement(composition(converse(zero),top)) -> top
% Current number of equations to process: 3566
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [239]
% composition(top,A) join composition(B,composition(C,A)) -> composition(top,A)
% Current number of equations to process: 3566
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [240]
% converse(composition(converse(A),B)) join composition(top,A) ->
% composition(top,A)
% Current number of equations to process: 3565
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [241] converse(composition(top,zero)) join complement(one) -> complement(one)
% Current number of equations to process: 3585
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [242]
% converse(composition(A,complement(converse(A)))) join complement(one) ->
% complement(one)
% Current number of equations to process: 3587
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [243]
% converse(complement(one)) join composition(converse(A),complement(A)) ->
% converse(complement(one))
% Current number of equations to process: 3592
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [244]
% converse(complement(composition(converse(A),complement(A)))) join complement(one)
% -> top
% Current number of equations to process: 3591
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [245]
% converse(composition(top,A)) join converse(composition(B,A)) ->
% converse(composition(top,A))
% Current number of equations to process: 3711
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [246]
% converse(composition(A,B)) join composition(top,converse(A)) ->
% composition(top,converse(A))
% Current number of equations to process: 3710
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [247]
% converse(composition(A,top)) join composition(B,converse(A)) <->
% composition(top,converse(A))
% Current number of equations to process: 3709
% Current number of ordered equations: 1
% Current number of rules: 182
% Rule [247]
% converse(composition(A,top)) join composition(B,converse(A)) <->
% composition(top,converse(A)) is composed into [247]
% converse(composition(A,top)) join 
% composition(B,converse(A))
% <->
% converse(composition(A,top)) join 
% composition(sk2,converse(A))
% New rule produced :
% [248]
% composition(top,converse(A)) <->
% converse(composition(A,top)) join composition(B,converse(A))
% Rule
% [209]
% composition(top,converse(A)) join complement(converse(composition(A,B))) ->
% top collapsed.
% Rule
% [246]
% converse(composition(A,B)) join composition(top,converse(A)) ->
% composition(top,converse(A)) collapsed.
% Current number of equations to process: 3710
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [249] composition(converse(A),complement(composition(A,top))) -> zero
% Rule
% [180] composition(converse(B),complement(composition(B,top))) join A -> A
% collapsed.
% Rule
% [236]
% complement(composition(converse(A),complement(composition(A,top)))) -> top
% collapsed.
% Current number of equations to process: 3820
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [250] complement(complement(A join B) join complement(B)) -> B
% Current number of equations to process: 3873
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [251] complement(complement(complement(A) join B) join A) -> complement(A)
% Current number of equations to process: 3872
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [252]
% complement(converse(A) join complement(converse(complement(A)))) ->
% complement(converse(A))
% Current number of equations to process: 3933
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [253]
% complement(converse(complement(A)) join complement(converse(A))) ->
% complement(converse(complement(A)))
% Current number of equations to process: 3956
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [254]
% complement(complement(complement(A join B) join B) join A) -> complement(A)
% Current number of equations to process: 3995
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [255]
% complement(complement(one) join complement(composition(converse(sk1),sk1)))
% -> composition(converse(sk1),sk1)
% Current number of equations to process: 3994
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [256]
% complement(complement(one) join complement(composition(converse(sk2),sk2)))
% -> composition(converse(sk2),sk2)
% Current number of equations to process: 3993
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced : [257] complement(A join B) join B -> complement(A) join B
% Rule
% [65]
% complement(complement(A) join B) join B <->
% complement(complement(B) join A) join A collapsed.
% Rule [151] complement(complement(A join A) join A) -> zero collapsed.
% Rule [152] complement(complement(A join A) join A join B) -> zero collapsed.
% Rule [169] complement(complement(A join B join B) join A join B) -> zero
% collapsed.
% Rule
% [254]
% complement(complement(complement(A join B) join B) join A) -> complement(A)
% collapsed.
% Current number of equations to process: 4104
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [258]
% complement(complement(converse(complement(converse(A)))) join A) ->
% complement(A)
% Current number of equations to process: 4124
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [259]
% complement(converse(complement(converse(A))) join complement(A)) ->
% complement(converse(complement(converse(A))))
% Current number of equations to process: 4140
% Current number of ordered equations: 1
% Current number of rules: 185
% New rule produced :
% [260]
% converse(complement(converse(complement(A join B)))) join complement(B) ->
% top
% Rule
% [195]
% converse(complement(converse(complement(A join A)))) join complement(A) ->
% top collapsed.
% Current number of equations to process: 4140
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [261] complement(A join B) join complement(A) -> complement(A)
% Rule [250] complement(complement(A join B) join complement(B)) -> B
% collapsed.
% Current number of equations to process: 4253
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [262] composition(A,top) join composition(A,B) -> composition(A,top)
% Current number of equations to process: 4333
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [263]
% composition(A,complement(B)) join composition(A,B) -> composition(A,top)
% Current number of equations to process: 4337
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [264] composition(A,composition(converse(sk1),sk1)) join A -> A
% Current number of equations to process: 4349
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [265] composition(A,composition(converse(sk2),sk2)) join A -> A
% Current number of equations to process: 4348
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [266]
% composition(A,complement(composition(converse(sk1),sk1))) join A ->
% composition(A,top)
% Current number of equations to process: 4389
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [267]
% composition(A,complement(composition(converse(sk2),sk2))) join A ->
% composition(A,top)
% Current number of equations to process: 4388
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [268]
% complement(converse(complement(converse(complement(A)))) join A) ->
% complement(converse(complement(converse(complement(A)))))
% Current number of equations to process: 4539
% Current number of ordered equations: 1
% Current number of rules: 192
% New rule produced :
% [269]
% complement(complement(converse(complement(converse(A))) join B) join A) ->
% complement(A)
% Current number of equations to process: 4539
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [270]
% one join complement(composition(A,complement(converse(A)))) ->
% complement(composition(A,complement(converse(A))))
% Current number of equations to process: 4538
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [271]
% one join complement(converse(composition(converse(zero),top))) ->
% complement(converse(composition(converse(zero),top)))
% Current number of equations to process: 4537
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [272]
% complement(composition(top,A)) join complement(composition(B,A)) ->
% complement(composition(B,A))
% Current number of equations to process: 4536
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [273]
% converse(composition(A,top)) join complement(converse(composition(A,B))) ->
% top
% Current number of equations to process: 4701
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [274]
% converse(composition(A,top)) join converse(A) -> converse(composition(A,top))
% Current number of equations to process: 4704
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [275] converse(composition(converse(A),top)) -> composition(top,A)
% Rule
% [143]
% converse(composition(converse(zero),top)) join complement(one) ->
% complement(one) collapsed.
% Rule
% [218]
% complement(one) join complement(converse(composition(converse(zero),top))) ->
% top collapsed.
% Rule
% [271]
% one join complement(converse(composition(converse(zero),top))) ->
% complement(converse(composition(converse(zero),top))) collapsed.
% Current number of equations to process: 4721
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [276]
% one join complement(composition(top,zero)) ->
% complement(composition(top,zero))
% Current number of equations to process: 4720
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [277]
% converse(composition(A,top)) join converse(complement(composition(A,B))) ->
% top
% Current number of equations to process: 4724
% Current number of ordered equations: 0
% Current number of rules: 198
% Rule [248]
% composition(top,converse(A)) <->
% converse(composition(A,top)) join composition(B,converse(A)) is composed into 
% [248] composition(top,converse(A)) -> converse(composition(A,top))
% New rule produced :
% [278]
% converse(composition(A,top)) join composition(B,converse(A)) ->
% converse(composition(A,top))
% Rule
% [247]
% converse(composition(A,top)) join composition(B,converse(A)) <->
% converse(composition(A,top)) join composition(sk2,converse(A)) collapsed.
% Current number of equations to process: 4743
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [279]
% converse(composition(top,zero)) join converse(complement(one)) ->
% converse(complement(one))
% Current number of equations to process: 1269
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [280] converse(complement(converse(A) join converse(B))) join A join B -> top
% Current number of equations to process: 1274
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [281]
% composition(converse(complement(converse(B))),A) join composition(B,A) ->
% composition(top,A)
% Current number of equations to process: 1273
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [282]
% converse(complement(composition(A,converse(B)))) join composition(B,converse(A))
% -> top
% Current number of equations to process: 1272
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [283]
% converse(complement(composition(converse(A),B))) join composition(converse(B),A)
% -> top
% Current number of equations to process: 1271
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [284]
% converse(complement(converse(composition(converse(A),complement(A))))) join 
% complement(one) -> top
% Current number of equations to process: 1270
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [285]
% one join composition(composition(converse(sk1),sk1),composition(converse(sk1),sk1))
% -> one
% Current number of equations to process: 1267
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [286]
% one join composition(composition(converse(sk1),sk1),composition(converse(sk2),sk2))
% -> one
% Current number of equations to process: 1266
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [287]
% composition(complement(composition(converse(sk1),sk1)),A) join A ->
% composition(top,A) join A
% Current number of equations to process: 1265
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [288]
% converse(complement(converse(composition(composition(converse(sk1),sk1),A)))) join A
% -> top
% Current number of equations to process: 1264
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [289]
% one join composition(composition(converse(sk2),sk2),composition(converse(sk1),sk1))
% -> one
% Current number of equations to process: 1263
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [290]
% one join composition(composition(converse(sk2),sk2),composition(converse(sk2),sk2))
% -> one
% Current number of equations to process: 1262
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [291]
% composition(complement(composition(converse(sk2),sk2)),A) join A ->
% composition(top,A) join A
% Current number of equations to process: 1261
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [292]
% converse(complement(converse(composition(composition(converse(sk2),sk2),A)))) join A
% -> top
% Current number of equations to process: 1260
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [293]
% converse(composition(A,complement(converse(A)))) join converse(complement(one))
% -> converse(complement(one))
% Current number of equations to process: 1255
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [294]
% converse(complement(converse(composition(A,complement(converse(A)))))) join 
% complement(one) -> top
% Current number of equations to process: 1254
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [295]
% converse(complement(one)) join converse(complement(composition(converse(A),
% complement(A)))) -> top
% Current number of equations to process: 1251
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [296]
% complement(composition(converse(A),complement(composition(A,complement(B))))) join B
% -> top
% Current number of equations to process: 1246
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [297]
% complement(converse(A) join complement(converse(complement(A)) join B)) ->
% complement(converse(A))
% Current number of equations to process: 1244
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [298]
% complement(one join complement(composition(converse(A),complement(A)))) ->
% composition(converse(A),complement(A))
% Current number of equations to process: 1240
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [299]
% composition(A,converse(complement(B))) join composition(A,converse(B)) ->
% composition(A,top)
% Current number of equations to process: 1239
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [300]
% composition(A,converse(complement(converse(B)))) join composition(A,B) ->
% composition(A,top)
% Current number of equations to process: 1238
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [301]
% complement(composition(A,complement(composition(converse(A),complement(B))))) join B
% -> top
% Current number of equations to process: 1237
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced :
% [302]
% composition(A,complement(converse(composition(converse(complement(B)),A)))) join B
% -> B
% Current number of equations to process: 1236
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced :
% [303]
% converse(A) join complement(converse(composition(A,composition(converse(sk1),sk1))))
% -> top
% Current number of equations to process: 1234
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced :
% [304]
% converse(complement(composition(A,composition(converse(sk1),sk1)))) join 
% converse(A) -> top
% Current number of equations to process: 1233
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [305]
% converse(A) join complement(converse(composition(A,composition(converse(sk2),sk2))))
% -> top
% Current number of equations to process: 1232
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced :
% [306]
% converse(complement(composition(A,composition(converse(sk2),sk2)))) join 
% converse(A) -> top
% Current number of equations to process: 1231
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced :
% [307]
% converse(complement(one)) join complement(converse(composition(converse(A),
% complement(A)))) -> top
% Current number of equations to process: 1230
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced :
% [308]
% converse(complement(one)) join composition(top,zero) ->
% converse(complement(one))
% Current number of equations to process: 1273
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced :
% [309]
% complement(composition(converse(A),complement(composition(A,B)))) join 
% complement(B) -> top
% Current number of equations to process: 1332
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced :
% [310] composition(converse(A),top) -> converse(composition(top,A))
% Rule
% [219]
% converse(complement(one)) join composition(converse(zero),top) ->
% converse(complement(one)) collapsed.
% Rule
% [221]
% converse(complement(composition(converse(zero),top))) join complement(one) ->
% top collapsed.
% Rule [233] composition(A,complement(composition(converse(A),top))) -> zero
% collapsed.
% Rule
% [237] composition(converse(zero),top) join complement(one) -> complement(one)
% collapsed.
% Rule
% [238] complement(one) join complement(composition(converse(zero),top)) -> top
% collapsed.
% Rule [275] converse(composition(converse(A),top)) -> composition(top,A)
% collapsed.
% Current number of equations to process: 1446
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [311] complement(one) join complement(converse(composition(top,zero))) -> top
% Current number of equations to process: 1471
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced :
% [312]
% composition(A,converse(composition(B,top))) <->
% composition(composition(A,top),converse(B))
% Current number of equations to process: 1469
% Current number of ordered equations: 2
% Current number of rules: 226
% New rule produced :
% [313]
% composition(composition(A,converse(B)),top) ->
% composition(A,converse(composition(top,B)))
% Current number of equations to process: 1469
% Current number of ordered equations: 1
% Current number of rules: 227
% New rule produced :
% [314]
% composition(composition(A,top),converse(B)) <->
% composition(A,converse(composition(B,top)))
% Current number of equations to process: 1469
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced :
% [315]
% composition(converse(A),composition(top,B)) <->
% composition(converse(composition(top,A)),B)
% Current number of equations to process: 1467
% Current number of ordered equations: 2
% Current number of rules: 229
% New rule produced :
% [316]
% composition(top,composition(converse(A),B)) ->
% composition(converse(composition(A,top)),B)
% Current number of equations to process: 1467
% Current number of ordered equations: 1
% Current number of rules: 230
% New rule produced :
% [317]
% composition(converse(composition(top,A)),B) <->
% composition(converse(A),composition(top,B))
% Current number of equations to process: 1467
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced : [318] converse(complement(converse(zero))) -> top
% Rule [184] converse(complement(converse(zero))) join complement(A) -> top
% collapsed.
% Rule [227] one join converse(complement(converse(zero))) -> top collapsed.
% Current number of equations to process: 1466
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced :
% [319] converse(complement(one)) join complement(one) -> complement(one)
% Current number of equations to process: 1468
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [320] converse(complement(A)) join complement(converse(zero)) -> top
% Current number of equations to process: 1467
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced : [321] composition(top,A) join complement(A) -> top
% Current number of equations to process: 1468
% Current number of ordered equations: 0
% Current number of rules: 233
% Rule [291]
% composition(complement(composition(converse(sk2),sk2)),A) join A ->
% composition(top,A) join A is composed into [291]
% composition(complement(
% composition(
% converse(sk2),sk2)),A) join A
% -> composition(top,A)
% Rule [287]
% composition(complement(composition(converse(sk1),sk1)),A) join A ->
% composition(top,A) join A is composed into [287]
% composition(complement(
% composition(
% converse(sk1),sk1)),A) join A
% -> composition(top,A)
% New rule produced : [322] composition(top,A) join A -> composition(top,A)
% Current number of equations to process: 1469
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced :
% [323]
% converse(complement(converse(composition(top,zero)))) join complement(one) ->
% top
% Current number of equations to process: 1467
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced :
% [324] composition(top,complement(composition(top,complement(A)))) join A -> A
% Current number of equations to process: 1466
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [325]
% composition(top,complement(composition(top,A))) join complement(A) ->
% complement(A)
% Current number of equations to process: 1462
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced :
% [326]
% converse(composition(composition(B,top),converse(A))) <->
% composition(composition(A,top),converse(B))
% Current number of equations to process: 1458
% Current number of ordered equations: 1
% Current number of rules: 238
% New rule produced :
% [327]
% composition(composition(A,top),converse(B)) <->
% converse(composition(composition(B,top),converse(A)))
% Current number of equations to process: 1458
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced :
% [328]
% converse(composition(B,converse(composition(A,top)))) <->
% composition(A,converse(composition(B,top)))
% Current number of equations to process: 1456
% Current number of ordered equations: 1
% Current number of rules: 240
% New rule produced :
% [329]
% composition(A,converse(composition(B,top))) <->
% converse(composition(B,converse(composition(A,top))))
% Current number of equations to process: 1456
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced :
% [330]
% converse(composition(converse(composition(top,B)),A)) <->
% composition(converse(composition(top,A)),B)
% Current number of equations to process: 1454
% Current number of ordered equations: 1
% Current number of rules: 242
% New rule produced :
% [331]
% composition(converse(composition(top,A)),B) <->
% converse(composition(converse(composition(top,B)),A))
% Current number of equations to process: 1454
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced :
% [332]
% converse(composition(converse(B),composition(top,A))) <->
% composition(converse(A),composition(top,B))
% Current number of equations to process: 1451
% Current number of ordered equations: 1
% Current number of rules: 244
% New rule produced :
% [333]
% composition(converse(A),composition(top,B)) <->
% converse(composition(converse(B),composition(top,A)))
% Current number of equations to process: 1451
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [334] complement(composition(converse(sk1),composition(sk1,A))) join A -> top
% Current number of equations to process: 1500
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [335] complement(composition(converse(sk2),composition(sk2,A))) join A -> top
% Current number of equations to process: 1538
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [336] converse(complement(converse(A))) join composition(top,A) -> top
% Current number of equations to process: 1570
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced : [337] composition(top,top) -> top
% Current number of equations to process: 1582
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced : [338] composition(top,complement(A)) join A -> top
% Current number of equations to process: 1585
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [339] converse(composition(A,top)) join converse(complement(A)) -> top
% Current number of equations to process: 1610
% Current number of ordered equations: 1
% Current number of rules: 251
% New rule produced :
% [340] converse(composition(complement(A),top)) join converse(A) -> top
% Current number of equations to process: 1610
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [341]
% one join composition(top,complement(composition(converse(sk1),sk1))) -> top
% Current number of equations to process: 1621
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced :
% [342]
% one join composition(top,complement(composition(converse(sk2),sk2))) -> top
% Current number of equations to process: 1620
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [343]
% composition(top,composition(complement(one),A)) join A -> composition(top,A)
% Current number of equations to process: 1688
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [344]
% converse(composition(complement(one),A)) join converse(A) ->
% converse(composition(top,A))
% Current number of equations to process: 1687
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [345]
% complement(composition(top,complement(composition(top,A)))) join complement(A)
% -> top
% Current number of equations to process: 1689
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced :
% [346] one join converse(complement(one join A)) join converse(A) -> top
% Current number of equations to process: 1687
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced :
% [347]
% composition(top,complement(composition(A,B))) join composition(top,B) -> top
% Current number of equations to process: 1682
% Current number of ordered equations: 1
% Current number of rules: 259
% New rule produced :
% [348]
% composition(top,composition(top,A)) join complement(composition(B,A)) -> top
% Current number of equations to process: 1682
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced :
% [349]
% composition(top,composition(top,A)) join composition(B,A) ->
% composition(top,A)
% Current number of equations to process: 1681
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced :
% [350]
% converse(complement(composition(converse(A),B))) join composition(top,A) ->
% top
% Current number of equations to process: 1824
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced :
% [351]
% complement(one join complement(converse(complement(composition(converse(sk1),sk1)))))
% -> complement(one)
% Current number of equations to process: 1823
% Current number of ordered equations: 0
% Current number of rules: 263
% New rule produced :
% [352]
% complement(one join complement(converse(complement(composition(converse(sk2),sk2)))))
% -> complement(one)
% Current number of equations to process: 1822
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced :
% [353]
% converse(composition(converse(sk1),composition(sk1,A))) join converse(A) ->
% converse(A)
% Current number of equations to process: 1821
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced :
% [354]
% converse(composition(converse(sk2),composition(sk2,A))) join converse(A) ->
% converse(A)
% Current number of equations to process: 1820
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced :
% [355]
% converse(composition(A,converse(complement(one)))) join converse(A) ->
% converse(composition(A,top))
% Current number of equations to process: 1819
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [356]
% converse(composition(top,A)) join complement(converse(composition(B,A))) ->
% top
% Current number of equations to process: 1878
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced :
% [357] composition(composition(A,converse(sk1)),sk1) join A -> A
% Current number of equations to process: 3724
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [358]
% converse(complement(converse(composition(A,B)))) join composition(A,top) ->
% top
% Current number of equations to process: 3825
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [359]
% converse(complement(composition(A,converse(B)))) join composition(B,top) ->
% top
% Current number of equations to process: 3824
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced :
% [360] converse(composition(top,A)) join converse(complement(A)) -> top
% Current number of equations to process: 3864
% Current number of ordered equations: 0
% Current number of rules: 272
% New rule produced :
% [361] converse(composition(A,top)) join complement(converse(A)) -> top
% Current number of equations to process: 4113
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [362] composition(composition(A,converse(sk2)),sk2) join A -> A
% Current number of equations to process: 4337
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced :
% [363] complement(one) join complement(composition(A,zero)) -> top
% Rule [222] complement(one) join complement(composition(top,zero)) -> top
% collapsed.
% Current number of equations to process: 4545
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced :
% [364] composition(A,zero) join complement(one) -> complement(one)
% Rule [220] composition(top,zero) join complement(one) -> complement(one)
% collapsed.
% Current number of equations to process: 4546
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced :
% [365]
% complement(one) join complement(converse(composition(A,complement(converse(A)))))
% -> top
% Current number of equations to process: 4578
% Current number of ordered equations: 0
% Current number of rules: 275
% New rule produced :
% [366] complement(one) join complement(converse(complement(one))) -> top
% Current number of equations to process: 4618
% Current number of ordered equations: 0
% Current number of rules: 276
% New rule produced : [367] one join complement(converse(zero)) -> top
% Current number of equations to process: 4634
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced : [368] composition(converse(zero),A) join A -> A
% Current number of equations to process: 4635
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced : [369] composition(A,converse(zero)) join A -> A
% Current number of equations to process: 4653
% Current number of ordered equations: 0
% Current number of rules: 279
% New rule produced :
% [370]
% complement(one) join complement(converse(zero)) -> complement(converse(zero))
% Current number of equations to process: 4656
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced :
% [371] converse(complement(converse(composition(zero,A)))) join A -> top
% Current number of equations to process: 4665
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced : [372] complement(composition(zero,A)) join A -> top
% Current number of equations to process: 4666
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced :
% [373] converse(composition(zero,A)) join converse(A) -> converse(A)
% Current number of equations to process: 4682
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced : [374] one join composition(zero,converse(zero)) -> one
% Current number of equations to process: 4726
% Current number of ordered equations: 0
% Current number of rules: 284
% New rule produced : [375] composition(zero,composition(zero,A)) join A -> A
% Current number of equations to process: 4725
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced :
% [376] one join composition(zero,composition(converse(sk1),sk1)) -> one
% Current number of equations to process: 4723
% Current number of ordered equations: 0
% Current number of rules: 286
% New rule produced :
% [377] one join composition(zero,composition(converse(sk2),sk2)) -> one
% Current number of equations to process: 4722
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced : [378] complement(converse(complement(one))) -> one
% Rule [366] complement(one) join complement(converse(complement(one))) -> top
% collapsed.
% Current number of equations to process: 4740
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [379] one join converse(composition(complement(one),top)) -> top
% Current number of equations to process: 4742
% Current number of ordered equations: 0
% Current number of rules: 288
% New rule produced :
% [380] composition(converse(complement(one)),A) join A -> composition(top,A)
% Current number of equations to process: 4741
% Current number of ordered equations: 0
% Current number of rules: 289
% New rule produced :
% [381]
% complement(converse(complement(one)) join A) ->
% complement(complement(one) join A)
% Current number of equations to process: 4740
% Current number of ordered equations: 0
% Current number of rules: 290
% New rule produced :
% [382] composition(A,converse(complement(one))) join A -> composition(A,top)
% Current number of equations to process: 4739
% Current number of ordered equations: 0
% Current number of rules: 291
% New rule produced :
% [383] converse(composition(A,converse(zero))) join converse(A) -> converse(A)
% Current number of equations to process: 4738
% Current number of ordered equations: 0
% Current number of rules: 292
% New rule produced :
% [384]
% complement(composition(zero,A)) join complement(A) ->
% complement(composition(zero,A))
% Current number of equations to process: 4737
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced :
% [385]
% one join converse(composition(zero,composition(converse(sk2),sk2))) -> one
% Current number of equations to process: 4736
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced :
% [386]
% complement(one join A) join complement(converse(zero)) ->
% complement(converse(zero))
% Current number of equations to process: 4735
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced :
% [387]
% one join converse(composition(zero,composition(converse(sk1),sk1))) -> one
% Current number of equations to process: 4734
% Current number of ordered equations: 0
% Current number of rules: 296
% New rule produced :
% [388]
% complement(composition(zero,complement(A))) join A ->
% complement(composition(zero,complement(A)))
% Current number of equations to process: 4733
% Current number of ordered equations: 0
% Current number of rules: 297
% New rule produced :
% [389] composition(complement(one),zero) -> composition(top,zero)
% Current number of equations to process: 4738
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [390] composition(converse(sk1),composition(sk1,zero)) -> zero
% Current number of equations to process: 4737
% Current number of ordered equations: 0
% Current number of rules: 299
% New rule produced :
% [391] composition(converse(sk2),composition(sk2,zero)) -> zero
% Current number of equations to process: 4736
% Current number of ordered equations: 0
% Current number of rules: 300
% New rule produced : [392] composition(zero,zero) -> zero
% Current number of equations to process: 4737
% Current number of ordered equations: 0
% Current number of rules: 301
% New rule produced :
% [393] composition(zero,B) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 4735
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced :
% [394] composition(A,zero) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 4734
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced :
% [395]
% converse(composition(zero,composition(converse(sk2),sk2))) -> converse(zero)
% Rule
% [385]
% one join converse(composition(zero,composition(converse(sk2),sk2))) -> one
% collapsed.
% Current number of equations to process: 4774
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced :
% [396]
% converse(composition(converse(B),A)) <->
% converse(zero) join composition(converse(A),B)
% Current number of equations to process: 4775
% Current number of ordered equations: 1
% Current number of rules: 304
% New rule produced :
% [397]
% converse(zero) join composition(converse(A),B) <->
% converse(composition(converse(B),A))
% Current number of equations to process: 4775
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced : [398] converse(A) join complement(converse(zero)) -> top
% Rule [320] converse(complement(A)) join complement(converse(zero)) -> top
% collapsed.
% Current number of equations to process: 4776
% Current number of ordered equations: 0
% Current number of rules: 305
% Rule [396]
% converse(composition(converse(B),A)) <->
% converse(zero) join composition(converse(A),B) is composed into 
% [396] converse(composition(converse(B),A)) <-> composition(converse(A),B)
% New rule produced : [399] converse(zero) join A -> A
% Rule [224] one join converse(zero) -> one collapsed.
% Rule [235] converse(zero) join converse(A) -> converse(A) collapsed.
% Rule
% [397]
% converse(zero) join composition(converse(A),B) <->
% converse(composition(converse(B),A)) collapsed.
% Current number of equations to process: 4776
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced :
% [400]
% one join composition(complement(one),converse(zero)) ->
% one join converse(composition(zero,top))
% Current number of equations to process: 4774
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced :
% [401]
% composition(zero,complement(A join B)) join complement(B) -> complement(B)
% Current number of equations to process: 4773
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced :
% [402]
% composition(composition(converse(sk2),sk2),composition(zero,A)) join A -> A
% Current number of equations to process: 4774
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced :
% [403]
% composition(composition(converse(sk1),sk1),composition(zero,A)) join A -> A
% Current number of equations to process: 4773
% Current number of ordered equations: 0
% Current number of rules: 307
% New rule produced :
% [404]
% composition(composition(zero,A),B) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 4771
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [405]
% composition(A,composition(zero,B)) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 4770
% Current number of ordered equations: 0
% Current number of rules: 309
% New rule produced :
% [406]
% composition(composition(A,B),complement(converse(composition(top,B)))) ->
% composition(A,zero)
% Current number of equations to process: 4768
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced :
% [407]
% composition(B,composition(complement(converse(composition(top,B))),A)) ->
% composition(zero,A)
% Current number of equations to process: 4767
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced :
% [408]
% complement(A join B) join complement(composition(zero,A)) ->
% complement(composition(zero,A))
% Current number of equations to process: 4781
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [409]
% composition(top,complement(converse(composition(top,complement(one))))) ->
% complement(converse(composition(top,complement(one))))
% Current number of equations to process: 4777
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [410] composition(top,composition(top,A)) -> composition(top,A)
% Rule
% [348]
% composition(top,composition(top,A)) join complement(composition(B,A)) -> top
% collapsed.
% Rule
% [349]
% composition(top,composition(top,A)) join composition(B,A) ->
% composition(top,A) collapsed.
% Current number of equations to process: 4912
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [411] converse(complement(composition(top,zero))) join complement(one) -> top
% Current number of equations to process: 1742
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [412]
% one join complement(converse(composition(top,zero))) ->
% complement(converse(composition(top,zero)))
% Current number of equations to process: 1762
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [413] converse(complement(composition(A,zero))) join complement(one) -> top
% Rule
% [411] converse(complement(composition(top,zero))) join complement(one) -> top
% collapsed.
% Current number of equations to process: 1767
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [414]
% converse(complement(one)) join composition(A,complement(converse(A))) ->
% converse(complement(one))
% Current number of equations to process: 1853
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced :
% [415]
% converse(complement(composition(A,complement(converse(A))))) join complement(one)
% -> top
% Current number of equations to process: 1852
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced :
% [416]
% converse(composition(top,A)) join composition(converse(A),B) ->
% converse(composition(top,A))
% Current number of equations to process: 1873
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced :
% [417]
% converse(composition(top,zero)) join composition(top,complement(one)) ->
% composition(top,complement(one))
% Current number of equations to process: 1872
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced :
% [418]
% converse(complement(one)) join complement(composition(converse(A),complement(A)))
% -> top
% Current number of equations to process: 1877
% Current number of ordered equations: 0
% Current number of rules: 319
% New rule produced : [419] converse(complement(one)) -> complement(one)
% Rule
% [168]
% converse(composition(converse(A),complement(A))) join converse(complement(one))
% -> converse(complement(one)) collapsed.
% Rule [226] one join converse(complement(one)) -> top collapsed.
% Rule
% [243]
% converse(complement(one)) join composition(converse(A),complement(A)) ->
% converse(complement(one)) collapsed.
% Rule
% [279]
% converse(composition(top,zero)) join converse(complement(one)) ->
% converse(complement(one)) collapsed.
% Rule
% [293]
% converse(composition(A,complement(converse(A)))) join converse(complement(one))
% -> converse(complement(one)) collapsed.
% Rule
% [295]
% converse(complement(one)) join converse(complement(composition(converse(A),
% complement(A)))) -> top
% collapsed.
% Rule
% [307]
% converse(complement(one)) join complement(converse(composition(converse(A),
% complement(A)))) -> top
% collapsed.
% Rule
% [308]
% converse(complement(one)) join composition(top,zero) ->
% converse(complement(one)) collapsed.
% Rule [319] converse(complement(one)) join complement(one) -> complement(one)
% collapsed.
% Rule
% [355]
% converse(composition(A,converse(complement(one)))) join converse(A) ->
% converse(composition(A,top)) collapsed.
% Rule [378] complement(converse(complement(one))) -> one collapsed.
% Rule
% [380] composition(converse(complement(one)),A) join A -> composition(top,A)
% collapsed.
% Rule
% [381]
% complement(converse(complement(one)) join A) ->
% complement(complement(one) join A) collapsed.
% Rule
% [382] composition(A,converse(complement(one))) join A -> composition(A,top)
% collapsed.
% Rule
% [414]
% converse(complement(one)) join composition(A,complement(converse(A))) ->
% converse(complement(one)) collapsed.
% Rule
% [418]
% converse(complement(one)) join complement(composition(converse(A),complement(A)))
% -> top collapsed.
% Current number of equations to process: 1951
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced :
% [420] composition(A,complement(one)) join A -> composition(A,top)
% Current number of equations to process: 1949
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced :
% [421]
% converse(composition(A,complement(one))) join converse(A) ->
% converse(composition(A,top))
% Current number of equations to process: 1948
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced :
% [422]
% one join complement(composition(converse(A),complement(A))) ->
% complement(composition(converse(A),complement(A)))
% Rule
% [298]
% complement(one join complement(composition(converse(A),complement(A)))) ->
% composition(converse(A),complement(A)) collapsed.
% Current number of equations to process: 1949
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced :
% [423]
% converse(composition(A,converse(B))) join composition(B,top) ->
% composition(B,top)
% Current number of equations to process: 2057
% Current number of ordered equations: 0
% Current number of rules: 307
% New rule produced :
% [424]
% converse(composition(top,A)) join converse(A) -> converse(composition(top,A))
% Current number of equations to process: 2131
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [425] converse(composition(A,zero)) join complement(one) -> complement(one)
% Rule
% [241] converse(composition(top,zero)) join complement(one) -> complement(one)
% collapsed.
% Current number of equations to process: 2145
% Current number of ordered equations: 0
% Current number of rules: 308
% Rule [389] composition(complement(one),zero) -> composition(top,zero) is composed into 
% [389] composition(complement(one),zero) -> zero
% New rule produced : [426] composition(top,zero) -> zero
% Rule
% [276]
% one join complement(composition(top,zero)) ->
% complement(composition(top,zero)) collapsed.
% Rule
% [311] complement(one) join complement(converse(composition(top,zero))) -> top
% collapsed.
% Rule
% [323]
% converse(complement(converse(composition(top,zero)))) join complement(one) ->
% top collapsed.
% Rule
% [412]
% one join complement(converse(composition(top,zero))) ->
% complement(converse(composition(top,zero))) collapsed.
% Rule
% [417]
% converse(composition(top,zero)) join composition(top,complement(one)) ->
% composition(top,complement(one)) collapsed.
% Current number of equations to process: 2167
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced : [427] complement(converse(zero)) -> top
% Rule [318] converse(complement(converse(zero))) -> top collapsed.
% Rule [367] one join complement(converse(zero)) -> top collapsed.
% Rule
% [370]
% complement(one) join complement(converse(zero)) -> complement(converse(zero))
% collapsed.
% Rule
% [386]
% complement(one join A) join complement(converse(zero)) ->
% complement(converse(zero)) collapsed.
% Rule [398] converse(A) join complement(converse(zero)) -> top collapsed.
% Current number of equations to process: 2166
% Current number of ordered equations: 0
% Current number of rules: 300
% New rule produced : [428] complement(complement(A) join B) join A -> A
% Rule
% [251] complement(complement(complement(A) join B) join A) -> complement(A)
% collapsed.
% Current number of equations to process: 2204
% Current number of ordered equations: 0
% Current number of rules: 300
% New rule produced :
% [429] converse(A) join complement(converse(complement(A))) -> converse(A)
% Rule
% [252]
% complement(converse(A) join complement(converse(complement(A)))) ->
% complement(converse(A)) collapsed.
% Current number of equations to process: 2205
% Current number of ordered equations: 0
% Current number of rules: 300
% New rule produced :
% [430]
% converse(complement(A)) join complement(converse(A)) ->
% converse(complement(A))
% Rule
% [253]
% complement(converse(complement(A)) join complement(converse(A))) ->
% complement(converse(complement(A))) collapsed.
% Current number of equations to process: 2206
% Current number of ordered equations: 0
% Current number of rules: 300
% New rule produced :
% [431]
% composition(composition(A,converse(B)),complement(composition(B,top))) ->
% composition(A,zero)
% Current number of equations to process: 2205
% Current number of ordered equations: 0
% Current number of rules: 301
% New rule produced :
% [432]
% composition(converse(B),composition(complement(composition(B,top)),A)) ->
% composition(zero,A)
% Current number of equations to process: 2204
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced :
% [433]
% complement(one) join complement(composition(converse(sk1),sk1)) ->
% complement(composition(converse(sk1),sk1))
% Rule
% [255]
% complement(complement(one) join complement(composition(converse(sk1),sk1)))
% -> composition(converse(sk1),sk1) collapsed.
% Current number of equations to process: 2206
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced :
% [434]
% complement(one) join complement(composition(converse(sk2),sk2)) ->
% complement(composition(converse(sk2),sk2))
% Rule
% [256]
% complement(complement(one) join complement(composition(converse(sk2),sk2)))
% -> composition(converse(sk2),sk2) collapsed.
% Current number of equations to process: 2208
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced :
% [435] complement(converse(complement(converse(A)))) join A -> A
% Rule
% [258]
% complement(complement(converse(complement(converse(A)))) join A) ->
% complement(A) collapsed.
% Current number of equations to process: 2260
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced :
% [436]
% converse(complement(converse(A))) join complement(A) ->
% converse(complement(converse(A)))
% Rule
% [259]
% complement(converse(complement(converse(A))) join complement(A)) ->
% complement(converse(complement(converse(A)))) collapsed.
% Current number of equations to process: 2259
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced :
% [437] complement(converse(complement(converse(A))) join B) join A -> A
% Rule
% [269]
% complement(complement(converse(complement(converse(A))) join B) join A) ->
% complement(A) collapsed.
% Current number of equations to process: 2263
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced :
% [438]
% one join complement(converse(complement(composition(converse(sk1),sk1)))) ->
% one
% Rule
% [351]
% complement(one join complement(converse(complement(composition(converse(sk1),sk1)))))
% -> complement(one) collapsed.
% Current number of equations to process: 2691
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced :
% [439]
% one join complement(converse(complement(composition(converse(sk2),sk2)))) ->
% one
% Rule
% [352]
% complement(one join complement(converse(complement(composition(converse(sk2),sk2)))))
% -> complement(one) collapsed.
% Current number of equations to process: 2690
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced :
% [440]
% converse(A) join complement(converse(complement(A)) join B) -> converse(A)
% Rule
% [297]
% complement(converse(A) join complement(converse(complement(A)) join B)) ->
% complement(converse(A)) collapsed.
% Current number of equations to process: 2689
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced :
% [441]
% complement(composition(complement(one),A)) join A ->
% complement(composition(top,A)) join A
% Current number of equations to process: 2688
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced :
% [442] complement(composition(zero,A) join B) join A -> complement(B) join A
% Current number of equations to process: 2686
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced :
% [443]
% one join complement(complement(composition(converse(sk2),sk2)) join A) -> one
% Current number of equations to process: 2683
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced :
% [444]
% converse(complement(A)) join complement(converse(A) join B) ->
% converse(complement(A))
% Current number of equations to process: 2682
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced :
% [445]
% one join complement(complement(composition(converse(sk1),sk1)) join A) -> one
% Current number of equations to process: 2681
% Current number of ordered equations: 0
% Current number of rules: 307
% New rule produced :
% [446]
% composition(converse(complement(composition(B,top))),composition(B,A)) ->
% composition(converse(zero),A)
% Current number of equations to process: 2728
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [447]
% composition(complement(converse(A)),complement(composition(A,top))) ->
% composition(top,complement(composition(A,top)))
% Current number of equations to process: 2727
% Current number of ordered equations: 0
% Current number of rules: 309
% New rule produced :
% [448]
% composition(converse(composition(B,A)),complement(composition(B,top))) ->
% composition(converse(A),zero)
% Current number of equations to process: 2725
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced :
% [449]
% converse(complement(converse(A))) join complement(A join B) ->
% converse(complement(converse(A)))
% Current number of equations to process: 2724
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced :
% [450]
% one join complement(composition(complement(converse(sk2)),sk2)) ->
% one join complement(composition(top,sk2))
% Current number of equations to process: 2723
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [451]
% one join complement(composition(converse(sk1),sk1) join A) ->
% one join complement(A)
% Current number of equations to process: 2722
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [452]
% one join complement(composition(converse(sk2),sk2) join A) ->
% one join complement(A)
% Current number of equations to process: 2721
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [453]
% 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
% [175]
% complement(converse(complement(A join A)) join converse(A)) ->
% complement(top) collapsed.
% Rule [346] one join converse(complement(one join A)) join converse(A) -> top
% collapsed.
% Current number of equations to process: 2720
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [454]
% converse(complement(converse(complement(complement(A) join B)))) join A ->
% top
% Current number of equations to process: 2721
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [455]
% converse(complement(A)) join complement(converse(complement(A join B))) ->
% top
% Current number of equations to process: 2785
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [456]
% converse(complement(converse(complement(composition(top,A))))) join complement(A)
% -> top
% Current number of equations to process: 2895
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced :
% [457]
% converse(complement(converse(complement(A)))) join complement(composition(zero,A))
% -> top
% Current number of equations to process: 2972
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced :
% [458] complement(composition(top,A)) join complement(A) -> complement(A)
% Current number of equations to process: 3220
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced :
% [459] composition(A,top) join complement(composition(A,B)) -> top
% Current number of equations to process: 3343
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced : [460] composition(A,top) join A -> composition(A,top)
% Current number of equations to process: 3344
% Current number of ordered equations: 0
% Current number of rules: 319
% New rule produced :
% [461]
% composition(top,composition(complement(one),top)) ->
% composition(complement(one),top)
% Current number of equations to process: 3440
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [462]
% complement(composition(top,A) join B) join complement(A) -> complement(A)
% Current number of equations to process: 3474
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced :
% [463]
% one join composition(converse(sk1),complement(sk1)) ->
% one join converse(composition(top,sk1))
% Current number of equations to process: 3629
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced :
% [464]
% one join composition(converse(sk2),complement(sk2)) ->
% one join converse(composition(top,sk2))
% Current number of equations to process: 3628
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced :
% [465]
% composition(A,converse(A)) join complement(one) ->
% composition(A,top) join complement(one)
% Current number of equations to process: 3671
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [466] composition(zero,complement(A)) join A -> composition(zero,top) join A
% Current number of equations to process: 3733
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced :
% [467]
% composition(zero,top) join complement(A) <->
% composition(zero,A) join complement(A)
% Current number of equations to process: 3732
% Current number of ordered equations: 1
% Current number of rules: 326
% New rule produced :
% [468]
% composition(zero,A) join complement(A) <->
% composition(zero,top) join complement(A)
% Current number of equations to process: 3732
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced :
% [469]
% composition(converse(A),composition(A,top)) -> converse(composition(top,A))
% Current number of equations to process: 3737
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [470] complement(composition(A,composition(converse(sk1),sk1))) join A -> top
% Current number of equations to process: 3820
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [471] composition(zero,composition(converse(sk1),sk1)) -> zero
% Rule [376] one join composition(zero,composition(converse(sk1),sk1)) -> one
% collapsed.
% Rule
% [387]
% one join converse(composition(zero,composition(converse(sk1),sk1))) -> one
% collapsed.
% Current number of equations to process: 3900
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [472] complement(composition(A,composition(converse(sk2),sk2))) join A -> top
% Current number of equations to process: 3963
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [473] composition(zero,composition(converse(sk2),sk2)) -> zero
% Rule [377] one join composition(zero,composition(converse(sk2),sk2)) -> one
% collapsed.
% Rule
% [395]
% converse(composition(zero,composition(converse(sk2),sk2))) -> converse(zero)
% collapsed.
% Current number of equations to process: 4045
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [474]
% composition(converse(sk1),sk1) join complement(one) ->
% composition(top,sk1) join complement(one)
% Current number of equations to process: 4076
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [475]
% composition(converse(sk2),sk2) join complement(one) ->
% composition(top,sk2) join complement(one)
% Current number of equations to process: 4075
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [476]
% converse(complement(A join B)) join converse(complement(A)) ->
% converse(complement(A))
% Current number of equations to process: 4076
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced :
% [477]
% composition(composition(A,B),C) join composition(A,top) -> composition(A,top)
% Current number of equations to process: 4074
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced :
% [478]
% composition(zero,composition(A,B)) join composition(A,top) ->
% composition(A,top)
% Current number of equations to process: 4073
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [479]
% composition(converse(A),A) join complement(one) ->
% converse(composition(top,A)) join complement(one)
% Rule
% [474]
% composition(converse(sk1),sk1) join complement(one) ->
% composition(top,sk1) join complement(one) collapsed.
% Rule
% [475]
% composition(converse(sk2),sk2) join complement(one) ->
% composition(top,sk2) join complement(one) collapsed.
% Current number of equations to process: 4074
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced :
% [480]
% converse(composition(top,sk1)) join complement(one) ->
% composition(top,sk1) join complement(one)
% Current number of equations to process: 4073
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [481]
% converse(composition(top,sk2)) join complement(one) ->
% composition(top,sk2) join complement(one)
% Current number of equations to process: 4072
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced :
% [482]
% converse(composition(A,top)) join composition(top,complement(converse(A))) ->
% top
% Current number of equations to process: 4070
% Current number of ordered equations: 0
% Current number of rules: 335
% New rule produced :
% [483]
% converse(composition(converse(sk1),composition(sk1,converse(A)))) join A -> A
% Current number of equations to process: 4069
% Current number of ordered equations: 0
% Current number of rules: 336
% New rule produced :
% [484]
% composition(composition(zero,A),composition(converse(sk1),sk1)) join A -> A
% Current number of equations to process: 4068
% Current number of ordered equations: 0
% Current number of rules: 337
% New rule produced :
% [485]
% converse(composition(converse(sk2),composition(sk2,converse(A)))) join A -> A
% Current number of equations to process: 4067
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced :
% [486]
% composition(composition(zero,A),composition(converse(sk2),sk2)) join A -> A
% Current number of equations to process: 4066
% Current number of ordered equations: 0
% Current number of rules: 339
% New rule produced :
% [487] converse(complement(converse(A))) join composition(A,top) -> top
% Current number of equations to process: 4104
% Current number of ordered equations: 1
% Current number of rules: 340
% New rule produced :
% [488] converse(composition(top,complement(converse(A)))) join A -> top
% Current number of equations to process: 4104
% Current number of ordered equations: 0
% Current number of rules: 341
% New rule produced :
% [489]
% converse(composition(top,sk1)) join complement(composition(converse(sk1),sk1))
% -> top
% Current number of equations to process: 4103
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced : [490] composition(sk1,top) join complement(sk1) -> top
% Current number of equations to process: 4106
% Current number of ordered equations: 0
% Current number of rules: 343
% New rule produced : [491] composition(A,top) join complement(A) -> top
% Rule [490] composition(sk1,top) join complement(sk1) -> top collapsed.
% Current number of equations to process: 4121
% Current number of ordered equations: 1
% Current number of rules: 343
% New rule produced : [492] composition(complement(A),top) join A -> top
% Current number of equations to process: 4121
% Current number of ordered equations: 0
% Current number of rules: 344
% New rule produced :
% [493]
% one join composition(complement(composition(converse(sk2),sk2)),top) -> top
% Current number of equations to process: 4135
% Current number of ordered equations: 0
% Current number of rules: 345
% New rule produced :
% [494] converse(composition(top,complement(A))) join converse(A) -> top
% Current number of equations to process: 4139
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced :
% [495]
% one join composition(complement(composition(converse(sk1),sk1)),top) -> top
% Current number of equations to process: 4140
% Current number of ordered equations: 0
% Current number of rules: 347
% New rule produced :
% [496]
% composition(composition(top,A),top) join complement(composition(B,A)) -> top
% Current number of equations to process: 4159
% Current number of ordered equations: 1
% Current number of rules: 348
% New rule produced :
% [497]
% composition(top,A) join composition(complement(composition(B,A)),top) -> top
% Current number of equations to process: 4159
% Current number of ordered equations: 0
% Current number of rules: 349
% New rule produced :
% [498]
% one join converse(composition(top,complement(composition(converse(sk1),sk1))))
% -> top
% Current number of equations to process: 4257
% Current number of ordered equations: 0
% Current number of rules: 350
% New rule produced :
% [499]
% one join converse(composition(top,complement(composition(converse(sk2),sk2))))
% -> top
% Current number of equations to process: 4256
% Current number of ordered equations: 0
% Current number of rules: 351
% New rule produced :
% [500] composition(zero,A) join composition(A,top) -> composition(A,top)
% Current number of equations to process: 4286
% Current number of ordered equations: 0
% Current number of rules: 352
% New rule produced :
% [501]
% composition(zero,complement(composition(converse(sk1),sk1))) ->
% composition(zero,top)
% Current number of equations to process: 4287
% Current number of ordered equations: 0
% Current number of rules: 353
% New rule produced :
% [502] complement(composition(A,top)) join complement(A) -> complement(A)
% Current number of equations to process: 4358
% Current number of ordered equations: 0
% Current number of rules: 354
% New rule produced :
% [503]
% complement(composition(A,top) join B) join complement(A) -> complement(A)
% Current number of equations to process: 4367
% Current number of ordered equations: 0
% Current number of rules: 355
% New rule produced :
% [504]
% converse(complement(converse(complement(composition(A,top))))) join complement(A)
% -> top
% Current number of equations to process: 4370
% Current number of ordered equations: 0
% Current number of rules: 356
% New rule produced :
% [505]
% converse(composition(top,sk2)) join complement(composition(converse(sk2),sk2))
% -> top
% Current number of equations to process: 4405
% Current number of ordered equations: 0
% Current number of rules: 357
% New rule produced :
% [506]
% composition(zero,complement(composition(converse(sk2),sk2))) ->
% composition(zero,top)
% Current number of equations to process: 4585
% Current number of ordered equations: 0
% Current number of rules: 358
% New rule produced :
% [507]
% composition(composition(A,top),top) join composition(A,B) ->
% composition(A,top)
% Current number of equations to process: 4661
% Current number of ordered equations: 0
% Current number of rules: 359
% New rule produced :
% [508]
% one join complement(composition(complement(converse(sk1)),sk1)) ->
% one join complement(composition(top,sk1))
% Current number of equations to process: 4660
% Current number of ordered equations: 0
% Current number of rules: 360
% New rule produced :
% [509]
% composition(top,A) join complement(A join B) ->
% composition(top,A) join complement(B)
% Current number of equations to process: 4659
% Current number of ordered equations: 0
% Current number of rules: 361
% New rule produced :
% [510]
% composition(top,complement(A)) join complement(A join B) ->
% composition(top,complement(A))
% Current number of equations to process: 4657
% Current number of ordered equations: 0
% Current number of rules: 362
% New rule produced :
% [511]
% complement(composition(A,top)) join complement(composition(A,B)) ->
% complement(composition(A,B))
% Current number of equations to process: 4656
% Current number of ordered equations: 0
% Current number of rules: 363
% New rule produced :
% [512]
% composition(top,A) join composition(complement(one),top) ->
% composition(complement(one),top) join A
% Current number of equations to process: 4654
% Current number of ordered equations: 0
% Current number of rules: 364
% New rule produced :
% [513]
% composition(A,top) join complement(A join B) ->
% composition(A,top) join complement(B)
% Current number of equations to process: 4650
% Current number of ordered equations: 0
% Current number of rules: 365
% New rule produced :
% [514]
% composition(complement(A),top) join complement(A join B) ->
% composition(complement(A),top)
% Current number of equations to process: 4648
% Current number of ordered equations: 0
% Current number of rules: 366
% New rule produced :
% [515]
% converse(complement(converse(complement(A)))) join A ->
% converse(complement(converse(complement(A))))
% Rule
% [268]
% complement(converse(complement(converse(complement(A)))) join A) ->
% complement(converse(complement(converse(complement(A))))) collapsed.
% Current number of equations to process: 4646
% Current number of ordered equations: 0
% Current number of rules: 366
% New rule produced :
% [516] converse(composition(complement(converse(A)),top)) join A -> top
% Current number of equations to process: 1196
% Current number of ordered equations: 0
% Current number of rules: 367
% New rule produced :
% [517]
% complement(converse(composition(A,top))) join complement(converse(A)) ->
% complement(converse(A))
% Current number of equations to process: 1289
% Current number of ordered equations: 0
% Current number of rules: 368
% New rule produced :
% [518]
% one join converse(composition(complement(composition(converse(sk1),sk1)),top))
% -> top
% Current number of equations to process: 1288
% Current number of ordered equations: 0
% Current number of rules: 369
% New rule produced :
% [519]
% one join converse(composition(complement(composition(converse(sk2),sk2)),top))
% -> top
% Current number of equations to process: 1287
% Current number of ordered equations: 0
% Current number of rules: 370
% New rule produced :
% [520] one join converse(complement(one join converse(A))) join A -> top
% Current number of equations to process: 1707
% Current number of ordered equations: 0
% Current number of rules: 371
% New rule produced :
% [521]
% composition(converse(complement(A)),complement(composition(A,top))) ->
% composition(top,complement(composition(A,top)))
% Current number of equations to process: 1799
% Current number of ordered equations: 0
% Current number of rules: 372
% New rule produced :
% [522]
% converse(complement(composition(A,converse(zero)))) join converse(A) -> top
% Current number of equations to process: 2306
% Current number of ordered equations: 0
% Current number of rules: 373
% New rule produced :
% [523] composition(complement(composition(converse(sk1),sk1)),zero) -> zero
% Current number of equations to process: 2985
% Current number of ordered equations: 0
% Current number of rules: 374
% New rule produced :
% [524]
% composition(top,complement(composition(converse(sk1),sk1))) <->
% composition(complement(composition(converse(sk1),sk1)),top)
% Current number of equations to process: 3077
% Current number of ordered equations: 1
% Current number of rules: 375
% New rule produced :
% [525]
% composition(complement(composition(converse(sk1),sk1)),top) <->
% composition(top,complement(composition(converse(sk1),sk1)))
% Current number of equations to process: 3077
% Current number of ordered equations: 0
% Current number of rules: 376
% New rule produced :
% [526] composition(complement(composition(converse(sk2),sk2)),zero) -> zero
% Current number of equations to process: 3586
% Current number of ordered equations: 0
% Current number of rules: 377
% New rule produced :
% [527]
% composition(top,complement(composition(converse(sk2),sk2))) <->
% composition(complement(composition(converse(sk2),sk2)),top)
% Current number of equations to process: 3684
% Current number of ordered equations: 1
% Current number of rules: 378
% New rule produced :
% [528]
% composition(complement(composition(converse(sk2),sk2)),top) <->
% composition(top,complement(composition(converse(sk2),sk2)))
% Current number of equations to process: 3684
% Current number of ordered equations: 0
% Current number of rules: 379
% New rule produced :
% [529]
% complement(composition(top,complement(composition(top,complement(A))))) join A
% -> top
% Current number of equations to process: 4201
% Current number of ordered equations: 0
% Current number of rules: 380
% New rule produced :
% [530]
% converse(composition(complement(converse(complement(composition(A,top)))),A))
% -> converse(composition(top,A))
% Current number of equations to process: 4686
% Current number of ordered equations: 0
% Current number of rules: 381
% New rule produced :
% [531] composition(complement(composition(complement(A),top)),top) join A -> A
% Current number of equations to process: 3221
% Current number of ordered equations: 0
% Current number of rules: 382
% New rule produced :
% [532]
% converse(composition(composition(A,top),top)) -> converse(composition(A,top))
% Current number of equations to process: 4581
% Current number of ordered equations: 0
% Current number of rules: 383
% New rule produced :
% [533] composition(composition(A,top),top) -> composition(A,top)
% Rule
% [507]
% composition(composition(A,top),top) join composition(A,B) ->
% composition(A,top) collapsed.
% Rule
% [532]
% converse(composition(composition(A,top),top)) -> converse(composition(A,top))
% collapsed.
% Current number of equations to process: 4637
% Current number of ordered equations: 0
% Current number of rules: 382
% New rule produced :
% [534] composition(composition(top,A),top) join complement(A) -> top
% Current number of equations to process: 1732
% Current number of ordered equations: 1
% Current number of rules: 383
% New rule produced :
% [535] composition(top,A) join composition(complement(A),top) -> top
% Current number of equations to process: 1732
% Current number of ordered equations: 0
% Current number of rules: 384
% New rule produced :
% [536]
% composition(composition(top,A),top) join A ->
% composition(composition(top,A),top)
% Current number of equations to process: 1886
% Current number of ordered equations: 0
% Current number of rules: 385
% New rule produced :
% [537] composition(B,complement(composition(top,complement(A)))) join A -> A
% Rule
% [324] composition(top,complement(composition(top,complement(A)))) join A -> A
% collapsed.
% Current number of equations to process: 1980
% Current number of ordered equations: 0
% Current number of rules: 385
% New rule produced :
% [538]
% converse(composition(top,A)) join composition(complement(converse(A)),top) ->
% top
% Current number of equations to process: 1991
% Current number of ordered equations: 0
% Current number of rules: 386
% New rule produced :
% [539]
% composition(composition(top,A),B) join complement(composition(A,B)) -> top
% Current number of equations to process: 1990
% Current number of ordered equations: 0
% Current number of rules: 387
% New rule produced :
% [540]
% composition(top,A) join complement(complement(A) join B) ->
% composition(top,A)
% Current number of equations to process: 1989
% Current number of ordered equations: 0
% Current number of rules: 388
% New rule produced :
% [541]
% complement(composition(A,complement(composition(top,complement(B))))) join B
% -> top
% Rule
% [529]
% complement(composition(top,complement(composition(top,complement(A))))) join A
% -> top collapsed.
% Current number of equations to process: 1986
% Current number of ordered equations: 0
% Current number of rules: 388
% New rule produced :
% [542]
% composition(B,complement(composition(top,A))) join complement(A) ->
% complement(A)
% Rule
% [325]
% composition(top,complement(composition(top,A))) join complement(A) ->
% complement(A) collapsed.
% Current number of equations to process: 2005
% Current number of ordered equations: 0
% Current number of rules: 388
% New rule produced :
% [543]
% complement(composition(A,complement(composition(top,B)))) join complement(B)
% -> top
% Rule
% [345]
% complement(composition(top,complement(composition(top,A)))) join complement(A)
% -> top collapsed.
% Current number of equations to process: 2026
% Current number of ordered equations: 0
% Current number of rules: 388
% New rule produced :
% [544] converse(composition(top,A)) join complement(converse(A)) -> top
% Current number of equations to process: 3339
% Current number of ordered equations: 0
% Current number of rules: 389
% New rule produced :
% [545] composition(top,complement(composition(zero,A))) join A -> top
% Current number of equations to process: 3562
% Current number of ordered equations: 0
% Current number of rules: 390
% New rule produced :
% [546] complement(composition(top,complement(A))) join A -> A
% Current number of equations to process: 3589
% Current number of ordered equations: 0
% Current number of rules: 391
% New rule produced :
% [547] composition(top,complement(A)) join composition(A,top) -> top
% Current number of equations to process: 3619
% Current number of ordered equations: 1
% Current number of rules: 392
% New rule produced :
% [548] composition(composition(top,complement(A)),top) join A -> top
% Current number of equations to process: 3619
% Current number of ordered equations: 0
% Current number of rules: 393
% New rule produced :
% [549]
% composition(composition(A,top),composition(top,B)) ->
% composition(A,composition(top,B))
% Current number of equations to process: 3682
% Current number of ordered equations: 0
% Current number of rules: 394
% New rule produced :
% [550] complement(composition(top,complement(A)) join B) join A -> A
% Current number of equations to process: 3680
% Current number of ordered equations: 0
% Current number of rules: 395
% New rule produced :
% [551]
% converse(A) join complement(converse(composition(complement(A),top))) ->
% converse(A)
% Current number of equations to process: 3867
% Current number of ordered equations: 0
% Current number of rules: 396
% New rule produced :
% [552]
% composition(composition(top,complement(one)),A) join A -> composition(top,A)
% Current number of equations to process: 3964
% Current number of ordered equations: 0
% Current number of rules: 397
% New rule produced :
% [553]
% converse(composition(complement(converse(A)),top)) join composition(top,A) ->
% top
% Current number of equations to process: 4104
% Current number of ordered equations: 0
% Current number of rules: 398
% New rule produced :
% [554]
% composition(top,A) join complement(converse(complement(converse(A)))) ->
% composition(top,A)
% Current number of equations to process: 4103
% Current number of ordered equations: 0
% Current number of rules: 399
% New rule produced :
% [555]
% converse(complement(converse(A))) join composition(composition(top,A),top) ->
% top
% Current number of equations to process: 4101
% Current number of ordered equations: 1
% Current number of rules: 400
% New rule produced :
% [556]
% converse(composition(top,complement(converse(A)))) join composition(top,A) ->
% top
% Current number of equations to process: 4101
% Current number of ordered equations: 0
% Current number of rules: 401
% New rule produced :
% [557]
% composition(top,complement(composition(A,B))) join composition(A,top) -> top
% Current number of equations to process: 4096
% Current number of ordered equations: 0
% Current number of rules: 402
% New rule produced :
% [558]
% converse(composition(complement(A),top)) join converse(composition(A,top)) ->
% top
% Current number of equations to process: 4092
% Current number of ordered equations: 0
% Current number of rules: 403
% New rule produced :
% [559]
% converse(complement(A)) join complement(converse(composition(A,top))) ->
% converse(complement(A))
% Current number of equations to process: 4091
% Current number of ordered equations: 0
% Current number of rules: 404
% New rule produced :
% [560]
% converse(composition(top,composition(A,top))) join converse(complement(A)) ->
% top
% Current number of equations to process: 4089
% Current number of ordered equations: 1
% Current number of rules: 405
% New rule produced :
% [561]
% converse(composition(top,complement(A))) join converse(composition(A,top)) ->
% top
% Current number of equations to process: 4089
% Current number of ordered equations: 0
% Current number of rules: 406
% New rule produced :
% [562]
% converse(composition(top,A)) join converse(composition(complement(A),top)) ->
% top
% Current number of equations to process: 4087
% Current number of ordered equations: 0
% Current number of rules: 407
% New rule produced :
% [563]
% one join complement(composition(top,complement(composition(converse(sk1),sk1))))
% -> one
% Current number of equations to process: 4085
% Current number of ordered equations: 0
% Current number of rules: 408
% New rule produced :
% [564]
% one join complement(composition(top,complement(composition(converse(sk2),sk2))))
% -> one
% Current number of equations to process: 4084
% Current number of ordered equations: 0
% Current number of rules: 409
% New rule produced :
% [565]
% converse(composition(complement(one),converse(A))) join A ->
% composition(A,top)
% Current number of equations to process: 4087
% Current number of ordered equations: 0
% Current number of rules: 410
% New rule produced :
% [566]
% complement(converse(composition(top,A))) join complement(converse(A)) ->
% complement(converse(A))
% Current number of equations to process: 4228
% Current number of ordered equations: 0
% Current number of rules: 411
% New rule produced :
% [567]
% converse(composition(top,A)) join composition(top,complement(converse(A))) ->
% top
% Current number of equations to process: 4307
% Current number of ordered equations: 0
% Current number of rules: 412
% New rule produced :
% [568]
% converse(composition(top,composition(complement(A),top))) join converse(A) ->
% top
% Current number of equations to process: 4306
% Current number of ordered equations: 0
% Current number of rules: 413
% New rule produced :
% [569]
% converse(composition(top,A)) join complement(composition(converse(A),B)) ->
% top
% Rule
% [489]
% converse(composition(top,sk1)) join complement(composition(converse(sk1),sk1))
% -> top collapsed.
% Rule
% [505]
% converse(composition(top,sk2)) join complement(composition(converse(sk2),sk2))
% -> top collapsed.
% Current number of equations to process: 4498
% Current number of ordered equations: 0
% Current number of rules: 412
% New rule produced :
% [570]
% converse(complement(converse(A))) join complement(composition(top,A)) ->
% converse(complement(converse(A)))
% Current number of equations to process: 4575
% Current number of ordered equations: 0
% Current number of rules: 413
% New rule produced :
% [571]
% converse(composition(A,top)) join complement(converse(complement(A))) ->
% converse(composition(A,top))
% Current number of equations to process: 4573
% Current number of ordered equations: 0
% Current number of rules: 414
% New rule produced :
% [572]
% converse(composition(top,A)) join composition(zero,converse(A)) ->
% converse(composition(top,A))
% Current number of equations to process: 4572
% Current number of ordered equations: 0
% Current number of rules: 415
% New rule produced :
% [573]
% composition(A,top) join complement(converse(composition(B,converse(A)))) ->
% top
% Current number of equations to process: 4807
% Current number of ordered equations: 0
% Current number of rules: 416
% New rule produced :
% [574] complement(composition(composition(A,converse(sk1)),sk1)) join A -> top
% Current number of equations to process: 4888
% Current number of ordered equations: 0
% Current number of rules: 417
% New rule produced :
% [575] complement(composition(composition(A,converse(sk2)),sk2)) join A -> top
% Current number of equations to process: 3040
% Current number of ordered equations: 0
% Current number of rules: 418
% New rule produced :
% [576]
% complement(one join complement(composition(A,zero))) -> composition(A,zero)
% Current number of equations to process: 3165
% Current number of ordered equations: 0
% Current number of rules: 419
% New rule produced :
% [577]
% one join complement(composition(A,zero)) -> complement(composition(A,zero))
% Rule
% [576]
% complement(one join complement(composition(A,zero))) -> composition(A,zero)
% collapsed.
% Current number of equations to process: 3179
% Current number of ordered equations: 0
% Current number of rules: 419
% New rule produced :
% [578]
% converse(composition(converse(zero),A)) join complement(one) ->
% complement(one)
% Current number of equations to process: 3265
% Current number of ordered equations: 0
% Current number of rules: 420
% New rule produced :
% [579]
% composition(A,composition(B,zero)) join complement(one) -> complement(one)
% Current number of equations to process: 3264
% Current number of ordered equations: 0
% Current number of rules: 421
% New rule produced :
% [580]
% complement(one) join complement(converse(composition(converse(zero),A))) ->
% top
% Current number of equations to process: 3288
% Current number of ordered equations: 0
% Current number of rules: 422
% New rule produced :
% [581]
% complement(one) join complement(composition(A,composition(B,zero))) -> top
% Current number of equations to process: 3287
% Current number of ordered equations: 0
% Current number of rules: 423
% New rule produced :
% [582]
% composition(top,complement(one)) join complement(composition(A,zero)) -> top
% Current number of equations to process: 3285
% Current number of ordered equations: 1
% Current number of rules: 424
% New rule produced :
% [583]
% composition(complement(composition(A,zero)),top) join complement(one) -> top
% Current number of equations to process: 3283
% Current number of ordered equations: 2
% Current number of rules: 425
% New rule produced :
% [584]
% composition(complement(one),top) join complement(composition(A,zero)) -> top
% Current number of equations to process: 3283
% Current number of ordered equations: 1
% Current number of rules: 426
% New rule produced :
% [585]
% composition(top,complement(composition(A,zero))) join complement(one) -> top
% Current number of equations to process: 3282
% Current number of ordered equations: 0
% Current number of rules: 427
% New rule produced :
% [586]
% converse(complement(converse(composition(A,zero)))) join complement(one) ->
% top
% Current number of equations to process: 3281
% Current number of ordered equations: 0
% Current number of rules: 428
% New rule produced :
% [587]
% converse(complement(composition(converse(zero),A))) join complement(one) ->
% top
% Current number of equations to process: 3280
% Current number of ordered equations: 0
% Current number of rules: 429
% New rule produced :
% [588]
% composition(top,complement(one)) join composition(A,zero) ->
% composition(complement(one),top)
% Current number of equations to process: 3278
% Current number of ordered equations: 0
% Current number of rules: 430
% New rule produced :
% [589]
% composition(complement(one),top) join composition(A,zero) ->
% composition(complement(one),top)
% Current number of equations to process: 3277
% Current number of ordered equations: 0
% Current number of rules: 431
% New rule produced :
% [590] composition(top,complement(one)) <-> composition(complement(one),top)
% Current number of equations to process: 3276
% Current number of ordered equations: 1
% Current number of rules: 432
% New rule produced :
% [591] composition(complement(one),top) <-> composition(top,complement(one))
% Current number of equations to process: 3276
% Current number of ordered equations: 0
% Current number of rules: 433
% New rule produced :
% [592]
% converse(composition(composition(top,A),top)) join converse(complement(A)) ->
% top
% Current number of equations to process: 3275
% Current number of ordered equations: 0
% Current number of rules: 434
% New rule produced :
% [593]
% converse(complement(A)) join complement(converse(composition(top,A))) ->
% converse(complement(A))
% Current number of equations to process: 3274
% Current number of ordered equations: 0
% Current number of rules: 435
% New rule produced :
% [594]
% converse(composition(top,complement(A))) join converse(composition(top,A)) ->
% top
% Current number of equations to process: 3273
% Current number of ordered equations: 0
% Current number of rules: 436
% New rule produced :
% [595]
% converse(composition(A,top)) join composition(complement(converse(A)),top) ->
% top
% Current number of equations to process: 3270
% Current number of ordered equations: 0
% Current number of rules: 437
% New rule produced :
% [596]
% converse(composition(top,composition(A,top))) join complement(converse(A)) ->
% top
% Current number of equations to process: 3269
% Current number of ordered equations: 0
% Current number of rules: 438
% New rule produced : [597] converse(composition(converse(A),zero)) join A -> A
% Current number of equations to process: 3384
% Current number of ordered equations: 0
% Current number of rules: 439
% New rule produced :
% [598] complement(composition(converse(zero),A)) join A -> top
% Current number of equations to process: 3385
% Current number of ordered equations: 0
% Current number of rules: 440
% New rule produced : [599] composition(converse(zero),zero) -> zero
% Current number of equations to process: 3386
% Current number of ordered equations: 0
% Current number of rules: 441
% New rule produced :
% [600] converse(composition(A,zero)) join converse(A) -> converse(A)
% Current number of equations to process: 3393
% Current number of ordered equations: 0
% Current number of rules: 442
% New rule produced :
% [601] composition(converse(zero),composition(zero,A)) join A -> A
% Current number of equations to process: 3442
% Current number of ordered equations: 1
% Current number of rules: 443
% New rule produced :
% [602] composition(zero,composition(converse(zero),A)) join A -> A
% Current number of equations to process: 3442
% Current number of ordered equations: 0
% Current number of rules: 444
% New rule produced :
% [603] composition(converse(zero),complement(A)) join A -> A
% Current number of equations to process: 3473
% Current number of ordered equations: 0
% Current number of rules: 445
% New rule produced :
% [604] composition(converse(zero),A) join complement(A) -> complement(A)
% Current number of equations to process: 3472
% Current number of ordered equations: 0
% Current number of rules: 446
% New rule produced :
% [605] converse(complement(composition(converse(A),zero))) join A -> top
% Current number of equations to process: 3487
% Current number of ordered equations: 0
% Current number of rules: 447
% New rule produced :
% [606] complement(composition(A,converse(zero))) join A -> top
% Current number of equations to process: 3542
% Current number of ordered equations: 0
% Current number of rules: 448
% New rule produced : [607] composition(zero,converse(zero)) -> zero
% Rule [374] one join composition(zero,converse(zero)) -> one collapsed.
% Current number of equations to process: 3545
% Current number of ordered equations: 0
% Current number of rules: 448
% New rule produced : [608] converse(composition(zero,converse(A))) join A -> A
% Current number of equations to process: 3550
% Current number of ordered equations: 0
% Current number of rules: 449
% New rule produced :
% [609] converse(composition(zero,top)) join complement(one) -> complement(one)
% Current number of equations to process: 3600
% Current number of ordered equations: 0
% Current number of rules: 450
% New rule produced :
% [610] composition(composition(zero,A),converse(zero)) join A -> A
% Current number of equations to process: 3603
% Current number of ordered equations: 0
% Current number of rules: 451
% New rule produced :
% [611] converse(complement(composition(zero,converse(A)))) join A -> top
% Current number of equations to process: 3640
% Current number of ordered equations: 0
% Current number of rules: 452
% New rule produced :
% [612] converse(composition(converse(zero),A)) join converse(A) -> converse(A)
% Current number of equations to process: 3679
% Current number of ordered equations: 0
% Current number of rules: 453
% New rule produced :
% [613]
% converse(complement(converse(composition(converse(zero),A)))) join A -> top
% Current number of equations to process: 3678
% Current number of ordered equations: 0
% Current number of rules: 454
% New rule produced :
% [614]
% composition(converse(zero),A) join composition(A,top) -> composition(A,top)
% Current number of equations to process: 3676
% Current number of ordered equations: 0
% Current number of rules: 455
% New rule produced :
% [615]
% composition(top,complement(composition(converse(zero),A))) join A -> top
% Current number of equations to process: 3675
% Current number of ordered equations: 0
% Current number of rules: 456
% New rule produced :
% [616]
% converse(complement(converse(composition(A,converse(zero))))) join A -> top
% Current number of equations to process: 3674
% Current number of ordered equations: 0
% Current number of rules: 457
% New rule produced :
% [617]
% composition(top,A) join composition(A,converse(zero)) -> composition(top,A)
% Current number of equations to process: 3672
% Current number of ordered equations: 0
% Current number of rules: 458
% New rule produced :
% [618]
% composition(top,complement(composition(A,converse(zero)))) join A -> top
% Current number of equations to process: 3671
% Current number of ordered equations: 0
% Current number of rules: 459
% New rule produced :
% [619] composition(composition(converse(zero),A),converse(zero)) join A -> A
% Current number of equations to process: 3668
% Current number of ordered equations: 1
% Current number of rules: 460
% New rule produced :
% [620] composition(converse(zero),composition(A,converse(zero))) join A -> A
% Current number of equations to process: 3668
% Current number of ordered equations: 0
% Current number of rules: 461
% New rule produced :
% [621] converse(A) join complement(converse(composition(zero,A))) -> top
% Current number of equations to process: 3678
% Current number of ordered equations: 0
% Current number of rules: 462
% New rule produced :
% [622]
% complement(converse(complement(converse(composition(zero,A))))) join A -> A
% Current number of equations to process: 3750
% Current number of ordered equations: 0
% Current number of rules: 463
% New rule produced :
% [623] complement(converse(composition(zero,converse(A)))) join A -> top
% Current number of equations to process: 3753
% Current number of ordered equations: 0
% Current number of rules: 464
% New rule produced :
% [624] converse(complement(composition(zero,A))) join converse(A) -> top
% Current number of equations to process: 3784
% Current number of ordered equations: 0
% Current number of rules: 465
% New rule produced :
% [625] complement(composition(zero,composition(zero,A))) join A -> top
% Current number of equations to process: 3800
% Current number of ordered equations: 0
% Current number of rules: 466
% New rule produced :
% [626] composition(A,top) join complement(composition(zero,A)) -> top
% Current number of equations to process: 3812
% Current number of ordered equations: 1
% Current number of rules: 467
% New rule produced :
% [627] composition(complement(composition(zero,A)),top) join A -> top
% Current number of equations to process: 3812
% Current number of ordered equations: 0
% Current number of rules: 468
% New rule produced :
% [628]
% converse(A) join complement(converse(composition(A,converse(zero)))) -> top
% Current number of equations to process: 3823
% Current number of ordered equations: 0
% Current number of rules: 469
% New rule produced :
% [629] complement(complement(composition(zero,A)) join B) join A -> A
% Current number of equations to process: 3822
% Current number of ordered equations: 0
% Current number of rules: 470
% New rule produced :
% [630]
% complement(composition(zero,composition(converse(zero),A))) join A -> top
% Current number of equations to process: 3821
% Current number of ordered equations: 0
% Current number of rules: 471
% New rule produced :
% [631] one join complement(converse(composition(complement(one),top))) -> one
% Current number of equations to process: 4060
% Current number of ordered equations: 0
% Current number of rules: 472
% New rule produced :
% [632]
% composition(complement(A),converse(zero)) join A ->
% converse(composition(zero,top)) join A
% Rule
% [400]
% one join composition(complement(one),converse(zero)) ->
% one join converse(composition(zero,top)) collapsed.
% Current number of equations to process: 4073
% Current number of ordered equations: 0
% Current number of rules: 472
% New rule produced :
% [633]
% composition(composition(A,zero),converse(zero)) join complement(one) ->
% complement(one)
% Current number of equations to process: 4072
% Current number of ordered equations: 0
% Current number of rules: 473
% New rule produced :
% [634]
% converse(composition(zero,composition(zero,A))) join converse(A) ->
% converse(A)
% Current number of equations to process: 4071
% Current number of ordered equations: 0
% Current number of rules: 474
% New rule produced :
% [635] composition(composition(A,complement(one)),zero) -> composition(A,zero)
% Current number of equations to process: 1539
% Current number of ordered equations: 0
% Current number of rules: 475
% New rule produced :
% [636] composition(complement(one),composition(zero,A)) -> composition(zero,A)
% Current number of equations to process: 1538
% Current number of ordered equations: 0
% Current number of rules: 476
% New rule produced : [637] complement(composition(A,zero)) -> top
% Rule [363] complement(one) join complement(composition(A,zero)) -> top
% collapsed.
% Rule
% [413] converse(complement(composition(A,zero))) join complement(one) -> top
% collapsed.
% Rule
% [577]
% one join complement(composition(A,zero)) -> complement(composition(A,zero))
% collapsed.
% Rule
% [582]
% composition(top,complement(one)) join complement(composition(A,zero)) -> top
% collapsed.
% Rule
% [583]
% composition(complement(composition(A,zero)),top) join complement(one) -> top
% collapsed.
% Rule
% [584]
% composition(complement(one),top) join complement(composition(A,zero)) -> top
% collapsed.
% Rule
% [585]
% composition(top,complement(composition(A,zero))) join complement(one) -> top
% collapsed.
% Rule [605] converse(complement(composition(converse(A),zero))) join A -> top
% collapsed.
% Current number of equations to process: 1551
% Current number of ordered equations: 0
% Current number of rules: 469
% Rule [448]
% composition(converse(composition(B,A)),complement(composition(B,top)))
% -> composition(converse(A),zero) is composed into [448]
% composition(converse(
% composition(B,A)),
% complement(composition(B,top)))
% -> zero
% Rule [431]
% composition(composition(A,converse(B)),complement(composition(B,top)))
% -> composition(A,zero) is composed into [431]
% composition(composition(A,
% converse(B)),
% complement(composition(B,top)))
% -> zero
% Rule [406]
% composition(composition(A,B),complement(converse(composition(top,B))))
% -> composition(A,zero) is composed into [406]
% composition(composition(A,B),
% complement(converse(composition(top,B))))
% -> zero
% New rule produced : [638] composition(A,zero) -> zero
% Rule [364] composition(A,zero) join complement(one) -> complement(one)
% collapsed.
% Rule [389] composition(complement(one),zero) -> zero collapsed.
% Rule [390] composition(converse(sk1),composition(sk1,zero)) -> zero
% collapsed.
% Rule [391] composition(converse(sk2),composition(sk2,zero)) -> zero
% collapsed.
% Rule [392] composition(zero,zero) -> zero collapsed.
% Rule [394] composition(A,zero) join composition(A,B) -> composition(A,B)
% collapsed.
% Rule
% [425] converse(composition(A,zero)) join complement(one) -> complement(one)
% collapsed.
% Rule [426] composition(top,zero) -> zero collapsed.
% Rule
% [523] composition(complement(composition(converse(sk1),sk1)),zero) -> zero
% collapsed.
% Rule
% [526] composition(complement(composition(converse(sk2),sk2)),zero) -> zero
% collapsed.
% Rule
% [579]
% composition(A,composition(B,zero)) join complement(one) -> complement(one)
% collapsed.
% Rule
% [581]
% complement(one) join complement(composition(A,composition(B,zero))) -> top
% collapsed.
% Rule
% [586]
% converse(complement(converse(composition(A,zero)))) join complement(one) ->
% top collapsed.
% Rule
% [588]
% composition(top,complement(one)) join composition(A,zero) ->
% composition(complement(one),top) collapsed.
% Rule
% [589]
% composition(complement(one),top) join composition(A,zero) ->
% composition(complement(one),top) collapsed.
% Rule [597] converse(composition(converse(A),zero)) join A -> A collapsed.
% Rule [599] composition(converse(zero),zero) -> zero collapsed.
% Rule [600] converse(composition(A,zero)) join converse(A) -> converse(A)
% collapsed.
% Rule
% [633]
% composition(composition(A,zero),converse(zero)) join complement(one) ->
% complement(one) collapsed.
% Rule
% [635] composition(composition(A,complement(one)),zero) -> composition(A,zero)
% collapsed.
% Rule [637] complement(composition(A,zero)) -> top collapsed.
% Current number of equations to process: 1551
% Current number of ordered equations: 0
% Current number of rules: 449
% New rule produced :
% [639] composition(zero,complement(composition(A,top))) -> zero
% Current number of equations to process: 1551
% Current number of ordered equations: 0
% Current number of rules: 450
% New rule produced :
% [640]
% composition(converse(zero),composition(complement(one),A)) ->
% composition(converse(zero),A)
% Current number of equations to process: 1549
% Current number of ordered equations: 0
% Current number of rules: 451
% New rule produced :
% [641]
% composition(composition(A,converse(zero)),complement(one)) ->
% composition(A,converse(zero))
% Current number of equations to process: 1548
% Current number of ordered equations: 0
% Current number of rules: 452
% Rule [446]
% composition(converse(complement(composition(B,top))),composition(B,A))
% -> composition(converse(zero),A) is composed into [446]
% composition(converse(
% complement(
% composition(B,top))),
% composition(B,A)) ->
% converse(zero)
% New rule produced : [642] composition(converse(zero),A) -> converse(zero)
% Rule [368] composition(converse(zero),A) join A -> A collapsed.
% Rule
% [578]
% converse(composition(converse(zero),A)) join complement(one) ->
% complement(one) collapsed.
% Rule
% [580]
% complement(one) join complement(converse(composition(converse(zero),A))) ->
% top collapsed.
% Rule
% [587]
% converse(complement(composition(converse(zero),A))) join complement(one) ->
% top collapsed.
% Rule [598] complement(composition(converse(zero),A)) join A -> top collapsed.
% Rule [601] composition(converse(zero),composition(zero,A)) join A -> A
% collapsed.
% Rule [602] composition(zero,composition(converse(zero),A)) join A -> A
% collapsed.
% Rule [603] composition(converse(zero),complement(A)) join A -> A collapsed.
% Rule [604] composition(converse(zero),A) join complement(A) -> complement(A)
% collapsed.
% Rule
% [612] converse(composition(converse(zero),A)) join converse(A) -> converse(A)
% collapsed.
% Rule
% [613]
% converse(complement(converse(composition(converse(zero),A)))) join A -> top
% collapsed.
% Rule
% [614]
% composition(converse(zero),A) join composition(A,top) -> composition(A,top)
% collapsed.
% Rule
% [615]
% composition(top,complement(composition(converse(zero),A))) join A -> top
% collapsed.
% Rule
% [619] composition(composition(converse(zero),A),converse(zero)) join A -> A
% collapsed.
% Rule
% [620] composition(converse(zero),composition(A,converse(zero))) join A -> A
% collapsed.
% Rule
% [630]
% complement(composition(zero,composition(converse(zero),A))) join A -> top
% collapsed.
% Rule
% [640]
% composition(converse(zero),composition(complement(one),A)) ->
% composition(converse(zero),A) collapsed.
% Current number of equations to process: 1551
% Current number of ordered equations: 0
% Current number of rules: 436
% New rule produced :
% [643]
% composition(zero,complement(converse(A))) join complement(one) ->
% complement(one)
% Current number of equations to process: 1552
% Current number of ordered equations: 0
% Current number of rules: 437
% New rule produced :
% [644] composition(zero,complement(A)) join complement(one) -> complement(one)
% Rule
% [643]
% composition(zero,complement(converse(A))) join complement(one) ->
% complement(one) collapsed.
% Current number of equations to process: 1569
% Current number of ordered equations: 0
% Current number of rules: 437
% New rule produced :
% [645] composition(A,B) join complement(composition(zero,B)) -> top
% Current number of equations to process: 1570
% Current number of ordered equations: 0
% Current number of rules: 438
% New rule produced : [646] one join composition(zero,sk1) -> one
% Current number of equations to process: 1577
% Current number of ordered equations: 0
% Current number of rules: 439
% New rule produced : [647] one join composition(zero,sk2) -> one
% Current number of equations to process: 1578
% Current number of ordered equations: 0
% Current number of rules: 440
% New rule produced :
% [648] composition(zero,complement(composition(A,complement(B)))) join B -> B
% Current number of equations to process: 1657
% Current number of ordered equations: 0
% Current number of rules: 441
% New rule produced : [649] composition(zero,composition(sk1,A)) join A -> A
% Current number of equations to process: 1673
% Current number of ordered equations: 0
% Current number of rules: 442
% New rule produced : [650] composition(zero,composition(sk2,A)) join A -> A
% Current number of equations to process: 1674
% Current number of ordered equations: 0
% Current number of rules: 443
% New rule produced :
% [651] composition(zero,complement(converse(composition(top,A)))) -> zero
% Current number of equations to process: 1693
% Current number of ordered equations: 0
% Current number of rules: 444
% New rule produced :
% [652] composition(zero,A) join composition(B,top) -> composition(B,top)
% Rule
% [478]
% composition(zero,composition(A,B)) join composition(A,top) ->
% composition(A,top) collapsed.
% Rule [500] composition(zero,A) join composition(A,top) -> composition(A,top)
% collapsed.
% Current number of equations to process: 1711
% Current number of ordered equations: 0
% Current number of rules: 443
% New rule produced : [653] composition(zero,sk1) join A -> A
% Rule [646] one join composition(zero,sk1) -> one collapsed.
% Current number of equations to process: 1777
% Current number of ordered equations: 0
% Current number of rules: 443
% New rule produced : [654] composition(zero,sk2) join A -> A
% Rule [647] one join composition(zero,sk2) -> one collapsed.
% Current number of equations to process: 1781
% Current number of ordered equations: 0
% Current number of rules: 443
% New rule produced :
% [655]
% composition(zero,complement(composition(A,B))) join complement(B) ->
% complement(B)
% Current number of equations to process: 1789
% Current number of ordered equations: 0
% Current number of rules: 444
% New rule produced :
% [656]
% converse(composition(top,A)) join composition(zero,top) ->
% converse(composition(top,A))
% Current number of equations to process: 1788
% Current number of ordered equations: 0
% Current number of rules: 445
% Rule [446]
% composition(converse(complement(composition(B,top))),composition(B,A))
% -> converse(zero) is composed into [446]
% composition(converse(complement(
% composition(B,top))),
% composition(B,A)) -> zero
% New rule produced : [657] converse(zero) -> zero
% Rule [369] composition(A,converse(zero)) join A -> A collapsed.
% Rule
% [383] converse(composition(A,converse(zero))) join converse(A) -> converse(A)
% collapsed.
% Rule [399] converse(zero) join A -> A collapsed.
% Rule [427] complement(converse(zero)) -> top collapsed.
% Rule
% [522]
% converse(complement(composition(A,converse(zero)))) join converse(A) -> top
% collapsed.
% Rule [606] complement(composition(A,converse(zero))) join A -> top collapsed.
% Rule [607] composition(zero,converse(zero)) -> zero collapsed.
% Rule [610] composition(composition(zero,A),converse(zero)) join A -> A
% collapsed.
% Rule
% [616]
% converse(complement(converse(composition(A,converse(zero))))) join A -> top
% collapsed.
% Rule
% [617]
% composition(top,A) join composition(A,converse(zero)) -> composition(top,A)
% collapsed.
% Rule
% [618]
% composition(top,complement(composition(A,converse(zero)))) join A -> top
% collapsed.
% Rule
% [628]
% converse(A) join complement(converse(composition(A,converse(zero)))) -> top
% collapsed.
% Rule
% [632]
% composition(complement(A),converse(zero)) join A ->
% converse(composition(zero,top)) join A collapsed.
% Rule
% [641]
% composition(composition(A,converse(zero)),complement(one)) ->
% composition(A,converse(zero)) collapsed.
% Rule [642] composition(converse(zero),A) -> converse(zero) collapsed.
% Current number of equations to process: 1967
% Current number of ordered equations: 0
% Current number of rules: 431
% Rule [432]
% composition(converse(B),composition(complement(composition(B,top)),A))
% -> composition(zero,A) is composed into [432]
% composition(converse(B),
% composition(complement(composition(B,top)),A))
% -> zero
% Rule [407]
% composition(B,composition(complement(converse(composition(top,B))),A))
% -> composition(zero,A) is composed into [407]
% composition(B,composition(
% complement(
% converse(composition(top,B))),A))
% -> zero
% New rule produced : [658] composition(zero,A) -> zero
% Rule [225] composition(zero,A) join A -> A collapsed.
% Rule [371] converse(complement(converse(composition(zero,A)))) join A -> top
% collapsed.
% Rule [372] complement(composition(zero,A)) join A -> top collapsed.
% Rule [373] converse(composition(zero,A)) join converse(A) -> converse(A)
% collapsed.
% Rule [375] composition(zero,composition(zero,A)) join A -> A collapsed.
% Rule
% [384]
% complement(composition(zero,A)) join complement(A) ->
% complement(composition(zero,A)) collapsed.
% Rule
% [388]
% complement(composition(zero,complement(A))) join A ->
% complement(composition(zero,complement(A))) collapsed.
% Rule [393] composition(zero,B) join composition(A,B) -> composition(A,B)
% collapsed.
% Rule
% [401]
% composition(zero,complement(A join B)) join complement(B) -> complement(B)
% collapsed.
% Rule
% [402]
% composition(composition(converse(sk2),sk2),composition(zero,A)) join A -> A
% collapsed.
% Rule
% [403]
% composition(composition(converse(sk1),sk1),composition(zero,A)) join A -> A
% collapsed.
% Rule
% [404]
% composition(composition(zero,A),B) join composition(A,B) -> composition(A,B)
% collapsed.
% Rule
% [405]
% composition(A,composition(zero,B)) join composition(A,B) -> composition(A,B)
% collapsed.
% Rule
% [408]
% complement(A join B) join complement(composition(zero,A)) ->
% complement(composition(zero,A)) collapsed.
% Rule
% [442] complement(composition(zero,A) join B) join A -> complement(B) join A
% collapsed.
% Rule
% [457]
% converse(complement(converse(complement(A)))) join complement(composition(zero,A))
% -> top collapsed.
% Rule
% [466] composition(zero,complement(A)) join A -> composition(zero,top) join A
% collapsed.
% Rule
% [467]
% composition(zero,top) join complement(A) <->
% composition(zero,A) join complement(A) collapsed.
% Rule
% [468]
% composition(zero,A) join complement(A) <->
% composition(zero,top) join complement(A) collapsed.
% Rule [471] composition(zero,composition(converse(sk1),sk1)) -> zero
% collapsed.
% Rule [473] composition(zero,composition(converse(sk2),sk2)) -> zero
% collapsed.
% Rule
% [484]
% composition(composition(zero,A),composition(converse(sk1),sk1)) join A -> A
% collapsed.
% Rule
% [486]
% composition(composition(zero,A),composition(converse(sk2),sk2)) join A -> A
% collapsed.
% Rule
% [501]
% composition(zero,complement(composition(converse(sk1),sk1))) ->
% composition(zero,top) collapsed.
% Rule
% [506]
% composition(zero,complement(composition(converse(sk2),sk2))) ->
% composition(zero,top) collapsed.
% Rule [545] composition(top,complement(composition(zero,A))) join A -> top
% collapsed.
% Rule
% [572]
% converse(composition(top,A)) join composition(zero,converse(A)) ->
% converse(composition(top,A)) collapsed.
% Rule [608] converse(composition(zero,converse(A))) join A -> A collapsed.
% Rule
% [609] converse(composition(zero,top)) join complement(one) -> complement(one)
% collapsed.
% Rule [611] converse(complement(composition(zero,converse(A)))) join A -> top
% collapsed.
% Rule [621] converse(A) join complement(converse(composition(zero,A))) -> top
% collapsed.
% Rule
% [622]
% complement(converse(complement(converse(composition(zero,A))))) join A -> A
% collapsed.
% Rule [623] complement(converse(composition(zero,converse(A)))) join A -> top
% collapsed.
% Rule [624] converse(complement(composition(zero,A))) join converse(A) -> top
% collapsed.
% Rule [625] complement(composition(zero,composition(zero,A))) join A -> top
% collapsed.
% Rule [626] composition(A,top) join complement(composition(zero,A)) -> top
% collapsed.
% Rule [627] composition(complement(composition(zero,A)),top) join A -> top
% collapsed.
% Rule [629] complement(complement(composition(zero,A)) join B) join A -> A
% collapsed.
% Rule
% [634]
% converse(composition(zero,composition(zero,A))) join converse(A) ->
% converse(A) collapsed.
% Rule
% [636] composition(complement(one),composition(zero,A)) -> composition(zero,A)
% collapsed.
% Rule [639] composition(zero,complement(composition(A,top))) -> zero
% collapsed.
% Rule
% [644] composition(zero,complement(A)) join complement(one) -> complement(one)
% collapsed.
% Rule [645] composition(A,B) join complement(composition(zero,B)) -> top
% collapsed.
% Rule
% [648] composition(zero,complement(composition(A,complement(B)))) join B -> B
% collapsed.
% Rule [649] composition(zero,composition(sk1,A)) join A -> A collapsed.
% Rule [650] composition(zero,composition(sk2,A)) join A -> A collapsed.
% Rule [651] composition(zero,complement(converse(composition(top,A)))) -> zero
% collapsed.
% Rule [652] composition(zero,A) join composition(B,top) -> composition(B,top)
% collapsed.
% Rule [653] composition(zero,sk1) join A -> A collapsed.
% Rule [654] composition(zero,sk2) join A -> A collapsed.
% Rule
% [655]
% composition(zero,complement(composition(A,B))) join complement(B) ->
% complement(B) collapsed.
% Rule
% [656]
% converse(composition(top,A)) join composition(zero,top) ->
% converse(composition(top,A)) collapsed.
% Current number of equations to process: 1966
% Current number of ordered equations: 0
% Current number of rules: 380
% New rule produced :
% [659]
% composition(converse(composition(complement(one),top)),A) join A ->
% composition(top,A)
% Current number of equations to process: 1933
% Current number of ordered equations: 0
% Current number of rules: 381
% New rule produced :
% [660]
% composition(A,converse(composition(complement(one),top))) join A ->
% composition(A,top)
% Current number of equations to process: 1932
% Current number of ordered equations: 0
% Current number of rules: 382
% New rule produced :
% [661]
% converse(composition(complement(one),top)) join complement(one) ->
% converse(composition(complement(one),top))
% Current number of equations to process: 1930
% Current number of ordered equations: 1
% Current number of rules: 383
% New rule produced :
% [662]
% one join complement(converse(composition(complement(one),top)) join A) -> one
% Current number of equations to process: 1930
% Current number of ordered equations: 0
% Current number of rules: 384
% New rule produced :
% [663]
% composition(composition(A,B),converse(composition(top,B))) ->
% composition(composition(A,B),top)
% Current number of equations to process: 1970
% Current number of ordered equations: 0
% Current number of rules: 385
% New rule produced :
% [664]
% converse(composition(top,A)) join complement(converse(complement(A))) ->
% converse(composition(top,A))
% Current number of equations to process: 2028
% Current number of ordered equations: 0
% Current number of rules: 386
% New rule produced :
% [665]
% composition(converse(composition(top,A)),composition(top,B)) ->
% composition(converse(composition(top,A)),B)
% Current number of equations to process: 2198
% Current number of ordered equations: 0
% Current number of rules: 387
% New rule produced :
% [666]
% composition(converse(A),complement(one)) ->
% converse(composition(complement(one),A))
% Current number of equations to process: 2360
% Current number of ordered equations: 0
% Current number of rules: 388
% New rule produced :
% [667]
% converse(composition(complement(one),top)) ->
% composition(top,complement(one))
% Rule [379] one join converse(composition(complement(one),top)) -> top
% collapsed.
% Rule
% [631] one join complement(converse(composition(complement(one),top))) -> one
% collapsed.
% Rule
% [659]
% composition(converse(composition(complement(one),top)),A) join A ->
% composition(top,A) collapsed.
% Rule
% [660]
% composition(A,converse(composition(complement(one),top))) join A ->
% composition(A,top) collapsed.
% Rule
% [661]
% converse(composition(complement(one),top)) join complement(one) ->
% converse(composition(complement(one),top)) collapsed.
% Rule
% [662]
% one join complement(converse(composition(complement(one),top)) join A) -> one
% collapsed.
% Current number of equations to process: 2425
% Current number of ordered equations: 0
% Current number of rules: 383
% New rule produced :
% [668]
% composition(complement(one),converse(A)) ->
% converse(composition(A,complement(one)))
% Rule
% [565]
% converse(composition(complement(one),converse(A))) join A ->
% composition(A,top) collapsed.
% Current number of equations to process: 2424
% Current number of ordered equations: 0
% Current number of rules: 383
% New rule produced :
% [669]
% converse(composition(top,complement(one))) ->
% composition(complement(one),top)
% Rule
% [409]
% composition(top,complement(converse(composition(top,complement(one))))) ->
% complement(converse(composition(top,complement(one)))) collapsed.
% Current number of equations to process: 2449
% Current number of ordered equations: 0
% Current number of rules: 383
% New rule produced :
% [670]
% composition(complement(one),complement(composition(complement(one),top))) ->
% zero
% Current number of equations to process: 2452
% Current number of ordered equations: 0
% Current number of rules: 384
% New rule produced :
% [671]
% composition(composition(top,complement(one)),top) ->
% composition(top,complement(one))
% Current number of equations to process: 2546
% Current number of ordered equations: 0
% Current number of rules: 385
% New rule produced :
% [672]
% composition(top,complement(composition(complement(one),top))) ->
% complement(composition(complement(one),top))
% Current number of equations to process: 2797
% Current number of ordered equations: 0
% Current number of rules: 386
% New rule produced :
% [673]
% composition(A,composition(top,complement(one))) join A -> composition(A,top)
% Current number of equations to process: 2796
% Current number of ordered equations: 0
% Current number of rules: 387
% New rule produced :
% [674]
% composition(composition(A,complement(one)),top) join A -> composition(A,top)
% Current number of equations to process: 2795
% Current number of ordered equations: 0
% Current number of rules: 388
% New rule produced :
% [675]
% complement(composition(A,complement(one))) join A ->
% complement(composition(A,top)) join A
% Current number of equations to process: 2794
% Current number of ordered equations: 0
% Current number of rules: 389
% New rule produced :
% [676]
% composition(converse(A),composition(complement(one),B)) <->
% composition(converse(composition(complement(one),A)),B)
% Current number of equations to process: 2793
% Current number of ordered equations: 1
% Current number of rules: 390
% New rule produced :
% [677]
% composition(converse(composition(complement(one),A)),B) <->
% composition(converse(A),composition(complement(one),B))
% Current number of equations to process: 2793
% Current number of ordered equations: 0
% Current number of rules: 391
% New rule produced :
% [678]
% composition(A,converse(composition(complement(one),B))) <->
% composition(composition(A,converse(B)),complement(one))
% Current number of equations to process: 2791
% Current number of ordered equations: 3
% Current number of rules: 392
% New rule produced :
% [679]
% composition(A,converse(composition(B,complement(one)))) <->
% composition(composition(A,complement(one)),converse(B))
% Current number of equations to process: 2791
% Current number of ordered equations: 2
% Current number of rules: 393
% New rule produced :
% [680]
% composition(composition(A,converse(B)),complement(one)) <->
% composition(A,converse(composition(complement(one),B)))
% Current number of equations to process: 2791
% Current number of ordered equations: 1
% Current number of rules: 394
% New rule produced :
% [681]
% composition(composition(A,complement(one)),converse(B)) <->
% composition(A,converse(composition(B,complement(one))))
% Current number of equations to process: 2791
% Current number of ordered equations: 0
% Current number of rules: 395
% New rule produced :
% [682]
% composition(complement(one),composition(converse(A),B)) <->
% composition(converse(composition(A,complement(one))),B)
% Current number of equations to process: 2789
% Current number of ordered equations: 1
% Current number of rules: 396
% New rule produced :
% [683]
% composition(converse(composition(A,complement(one))),B) <->
% composition(complement(one),composition(converse(A),B))
% Current number of equations to process: 2789
% Current number of ordered equations: 0
% Current number of rules: 397
% New rule produced :
% [684]
% one join composition(A,complement(converse(composition(complement(one),A))))
% -> one
% Current number of equations to process: 2785
% Current number of ordered equations: 0
% Current number of rules: 398
% New rule produced :
% [685]
% converse(composition(composition(A,top),complement(one))) <->
% composition(composition(complement(one),top),converse(A))
% Current number of equations to process: 2784
% Current number of ordered equations: 1
% Current number of rules: 399
% New rule produced :
% [686]
% composition(composition(complement(one),top),converse(A)) <->
% converse(composition(composition(A,top),complement(one)))
% Current number of equations to process: 2784
% Current number of ordered equations: 0
% Current number of rules: 400
% New rule produced :
% [687]
% converse(composition(complement(one),composition(top,A))) <->
% composition(converse(A),composition(top,complement(one)))
% Current number of equations to process: 2783
% Current number of ordered equations: 1
% Current number of rules: 401
% New rule produced :
% [688]
% composition(converse(A),composition(top,complement(one))) <->
% converse(composition(complement(one),composition(top,A)))
% Current number of equations to process: 2783
% Current number of ordered equations: 0
% Current number of rules: 402
% New rule produced :
% [689]
% converse(composition(composition(complement(one),top),converse(A))) <->
% composition(composition(A,top),complement(one))
% Current number of equations to process: 3030
% Current number of ordered equations: 1
% Current number of rules: 403
% New rule produced :
% [690]
% composition(composition(A,top),complement(one)) <->
% converse(composition(composition(complement(one),top),converse(A)))
% Current number of equations to process: 3030
% Current number of ordered equations: 0
% Current number of rules: 404
% New rule produced :
% [691]
% converse(composition(converse(A),composition(top,complement(one)))) <->
% composition(complement(one),composition(top,A))
% Current number of equations to process: 3029
% Current number of ordered equations: 1
% Current number of rules: 405
% New rule produced :
% [692]
% composition(complement(one),composition(top,A)) <->
% converse(composition(converse(A),composition(top,complement(one))))
% Current number of equations to process: 3029
% Current number of ordered equations: 0
% Current number of rules: 406
% New rule produced :
% [693]
% composition(top,complement(one)) join composition(A,top) ->
% composition(top,complement(one)) join A
% Current number of equations to process: 3027
% Current number of ordered equations: 0
% Current number of rules: 407
% New rule produced :
% [694]
% converse(composition(complement(one),complement(one))) join complement(one)
% -> composition(top,complement(one))
% Current number of equations to process: 3026
% Current number of ordered equations: 0
% Current number of rules: 408
% New rule produced :
% [695] complement(composition(complement(A),top)) join A -> A
% Current number of equations to process: 3794
% Current number of ordered equations: 0
% Current number of rules: 409
% New rule produced :
% [696] complement(composition(complement(A),top) join B) join A -> A
% Current number of equations to process: 3974
% Current number of ordered equations: 0
% Current number of rules: 410
% New rule produced : [697] converse(complement(converse(complement(A)))) -> A
% Rule
% [260]
% converse(complement(converse(complement(A join B)))) join complement(B) ->
% top collapsed.
% Rule
% [454]
% converse(complement(converse(complement(complement(A) join B)))) join A ->
% top collapsed.
% Rule
% [456]
% converse(complement(converse(complement(composition(top,A))))) join complement(A)
% -> top collapsed.
% Rule
% [504]
% converse(complement(converse(complement(composition(A,top))))) join complement(A)
% -> top collapsed.
% Rule
% [515]
% converse(complement(converse(complement(A)))) join A ->
% converse(complement(converse(complement(A)))) collapsed.
% Current number of equations to process: 4000
% Current number of ordered equations: 0
% Current number of rules: 406
% New rule produced : [698] converse(complement(converse(A))) -> complement(A)
% Rule [68] converse(complement(converse(A))) join A -> top collapsed.
% Rule
% [194]
% converse(complement(converse(composition(A,B)))) join composition(top,B) ->
% top collapsed.
% Rule
% [281]
% composition(converse(complement(converse(B))),A) join composition(B,A) ->
% composition(top,A) collapsed.
% Rule
% [284]
% converse(complement(converse(composition(converse(A),complement(A))))) join 
% complement(one) -> top collapsed.
% Rule
% [288]
% converse(complement(converse(composition(composition(converse(sk1),sk1),A)))) join A
% -> top collapsed.
% Rule
% [292]
% converse(complement(converse(composition(composition(converse(sk2),sk2),A)))) join A
% -> top collapsed.
% Rule
% [294]
% converse(complement(converse(composition(A,complement(converse(A)))))) join 
% complement(one) -> top collapsed.
% Rule
% [300]
% composition(A,converse(complement(converse(B)))) join composition(A,B) ->
% composition(A,top) collapsed.
% Rule [336] converse(complement(converse(A))) join composition(top,A) -> top
% collapsed.
% Rule
% [358]
% converse(complement(converse(composition(A,B)))) join composition(A,top) ->
% top collapsed.
% Rule [435] complement(converse(complement(converse(A)))) join A -> A
% collapsed.
% Rule
% [436]
% converse(complement(converse(A))) join complement(A) ->
% converse(complement(converse(A))) collapsed.
% Rule [437] complement(converse(complement(converse(A))) join B) join A -> A
% collapsed.
% Rule
% [449]
% converse(complement(converse(A))) join complement(A join B) ->
% converse(complement(converse(A))) collapsed.
% Rule [487] converse(complement(converse(A))) join composition(A,top) -> top
% collapsed.
% Rule
% [554]
% composition(top,A) join complement(converse(complement(converse(A)))) ->
% composition(top,A) collapsed.
% Rule
% [555]
% converse(complement(converse(A))) join composition(composition(top,A),top) ->
% top collapsed.
% Rule
% [570]
% converse(complement(converse(A))) join complement(composition(top,A)) ->
% converse(complement(converse(A))) collapsed.
% Rule [697] converse(complement(converse(complement(A)))) -> A collapsed.
% Current number of equations to process: 4165
% Current number of ordered equations: 0
% Current number of rules: 388
% New rule produced :
% [699]
% converse(complement(complement(A) join B)) join converse(A) -> converse(A)
% Current number of equations to process: 4289
% Current number of ordered equations: 0
% Current number of rules: 389
% New rule produced :
% [700]
% composition(A,top) join complement(complement(A) join B) ->
% composition(A,top)
% Current number of equations to process: 4286
% Current number of ordered equations: 0
% Current number of rules: 390
% New rule produced :
% [701]
% composition(composition(A,complement(one)),complement(composition(complement(one),top)))
% -> zero
% Current number of equations to process: 4326
% Current number of ordered equations: 0
% Current number of rules: 391
% New rule produced :
% [702]
% composition(complement(one),composition(complement(composition(complement(one),top)),A))
% -> zero
% Current number of equations to process: 4364
% Current number of ordered equations: 0
% Current number of rules: 392
% New rule produced :
% [703] converse(complement(converse(complement(A)) join B)) join A -> A
% Current number of equations to process: 4739
% Current number of ordered equations: 0
% Current number of rules: 393
% New rule produced :
% [704]
% converse(A) join complement(converse(composition(top,complement(A)))) ->
% converse(A)
% Current number of equations to process: 4850
% Current number of ordered equations: 0
% Current number of rules: 394
% New rule produced :
% [705]
% one join complement(composition(complement(composition(converse(sk2),sk2)),top))
% -> one
% Current number of equations to process: 764
% Current number of ordered equations: 0
% Current number of rules: 395
% New rule produced :
% [706]
% converse(complement(converse(A) join B)) join complement(A) -> complement(A)
% Current number of equations to process: 838
% Current number of ordered equations: 0
% Current number of rules: 396
% New rule produced :
% [707]
% one join complement(composition(complement(composition(converse(sk1),sk1)),top))
% -> one
% Current number of equations to process: 1078
% Current number of ordered equations: 0
% Current number of rules: 397
% New rule produced :
% [708]
% composition(composition(A,converse(B)),composition(B,top)) ->
% composition(A,converse(composition(top,B)))
% Current number of equations to process: 1105
% Current number of ordered equations: 0
% Current number of rules: 398
% New rule produced :
% [709]
% composition(complement(composition(top,A)),composition(converse(A),B)) ->
% zero
% Current number of equations to process: 1105
% Current number of ordered equations: 1
% Current number of rules: 399
% New rule produced :
% [710]
% composition(complement(composition(top,A)),converse(composition(top,A))) ->
% zero
% Current number of equations to process: 1105
% Current number of ordered equations: 0
% Current number of rules: 400
% New rule produced :
% [711]
% composition(composition(A,top),complement(composition(composition(top,A),top)))
% -> zero
% Current number of equations to process: 1219
% Current number of ordered equations: 0
% Current number of rules: 401
% New rule produced :
% [712]
% composition(converse(composition(A,B)),composition(A,top)) ->
% converse(composition(top,composition(A,B)))
% Current number of equations to process: 1279
% Current number of ordered equations: 0
% Current number of rules: 402
% New rule produced :
% [713]
% composition(A,top) join complement(composition(composition(A,B),top)) -> top
% Current number of equations to process: 1280
% Current number of ordered equations: 0
% Current number of rules: 403
% New rule produced :
% [714]
% complement(composition(converse(sk1),complement(sk1))) ->
% one join complement(converse(composition(top,sk1)))
% Current number of equations to process: 1498
% Current number of ordered equations: 0
% Current number of rules: 404
% New rule produced :
% [715]
% complement(composition(converse(sk2),complement(sk2))) ->
% one join complement(converse(composition(top,sk2)))
% Current number of equations to process: 1688
% Current number of ordered equations: 0
% Current number of rules: 405
% New rule produced :
% [716]
% converse(complement(converse(A) join B)) join A ->
% converse(complement(B)) join A
% Rule
% [280] converse(complement(converse(A) join converse(B))) join A join B -> top
% collapsed.
% Rule [520] one join converse(complement(one join converse(A))) join A -> top
% collapsed.
% Current number of equations to process: 2095
% Current number of ordered equations: 0
% Current number of rules: 404
% New rule produced :
% [717]
% one join converse(complement(one join A)) -> one join converse(complement(A))
% Current number of equations to process: 2197
% Current number of ordered equations: 0
% Current number of rules: 405
% New rule produced :
% [718]
% converse(complement(composition(top,complement(A)))) join converse(A) ->
% converse(A)
% Current number of equations to process: 2450
% Current number of ordered equations: 0
% Current number of rules: 406
% New rule produced :
% [719]
% converse(complement(composition(top,A))) join converse(complement(A)) ->
% converse(complement(A))
% Current number of equations to process: 2471
% Current number of ordered equations: 0
% Current number of rules: 407
% New rule produced :
% [720]
% complement(converse(complement(converse(A) join B))) join complement(A) ->
% top
% Current number of equations to process: 2594
% Current number of ordered equations: 0
% Current number of rules: 408
% New rule produced :
% [721]
% converse(complement(A)) join complement(converse(complement(composition(top,A))))
% -> top
% Current number of equations to process: 2593
% Current number of ordered equations: 0
% Current number of rules: 409
% New rule produced :
% [722]
% one join complement(converse(complement(complement(one) join A))) -> top
% Current number of equations to process: 2631
% Current number of ordered equations: 0
% Current number of rules: 410
% New rule produced :
% [723]
% converse(A) join complement(converse(complement(complement(A) join B))) ->
% top
% Current number of equations to process: 2698
% Current number of ordered equations: 0
% Current number of rules: 411
% New rule produced :
% [724]
% complement(one) join complement(converse(complement(one join A))) -> top
% Current number of equations to process: 2761
% Current number of ordered equations: 0
% Current number of rules: 412
% New rule produced :
% [725]
% converse(complement(A)) join complement(converse(complement(composition(A,top))))
% -> top
% Current number of equations to process: 2976
% Current number of ordered equations: 0
% Current number of rules: 413
% New rule produced :
% [726]
% complement(converse(complement(converse(complement(A)) join B))) join A ->
% top
% Current number of equations to process: 3227
% Current number of ordered equations: 0
% Current number of rules: 414
% New rule produced :
% [727]
% composition(top,composition(A,top)) join A ->
% composition(top,composition(A,top))
% Current number of equations to process: 3673
% Current number of ordered equations: 0
% Current number of rules: 415
% New rule produced :
% [728]
% composition(top,composition(A,top)) join complement(composition(A,B)) -> top
% Current number of equations to process: 3734
% Current number of ordered equations: 0
% Current number of rules: 416
% New rule produced :
% [729]
% composition(A,top) join complement(composition(composition(A,B),C)) -> top
% Rule
% [713]
% composition(A,top) join complement(composition(composition(A,B),top)) -> top
% collapsed.
% Current number of equations to process: 3733
% Current number of ordered equations: 0
% Current number of rules: 416
% New rule produced :
% [730]
% composition(complement(composition(A,B)),top) join composition(A,top) -> top
% Current number of equations to process: 3731
% Current number of ordered equations: 0
% Current number of rules: 417
% New rule produced :
% [731]
% composition(composition(complement(one),top),complement(composition(top,
% complement(one)))) ->
% zero
% Current number of equations to process: 3728
% Current number of ordered equations: 0
% Current number of rules: 418
% New rule produced :
% [732]
% composition(composition(top,complement(one)),converse(A)) ->
% converse(composition(A,composition(top,complement(one))))
% Current number of equations to process: 3727
% Current number of ordered equations: 0
% Current number of rules: 419
% New rule produced :
% [733]
% complement(composition(composition(top,A),top)) join complement(A) ->
% complement(A)
% Current number of equations to process: 3797
% Current number of ordered equations: 0
% Current number of rules: 420
% New rule produced :
% [734]
% one join converse(composition(converse(sk1),complement(sk1))) ->
% one join composition(top,sk1)
% Current number of equations to process: 3896
% Current number of ordered equations: 0
% Current number of rules: 421
% New rule produced :
% [735]
% one join converse(composition(converse(sk2),complement(sk2))) ->
% one join composition(top,sk2)
% Current number of equations to process: 3985
% Current number of ordered equations: 0
% Current number of rules: 422
% New rule produced :
% [736]
% converse(composition(A,top)) join complement(one) ->
% composition(A,top) join complement(one)
% Current number of equations to process: 4058
% Current number of ordered equations: 0
% Current number of rules: 423
% New rule produced :
% [737]
% converse(composition(composition(top,A),converse(A))) -> composition(A,top)
% Current number of equations to process: 4210
% Current number of ordered equations: 0
% Current number of rules: 424
% New rule produced :
% [738]
% composition(complement(one),composition(complement(one),top)) ->
% composition(complement(one),top)
% Current number of equations to process: 4263
% Current number of ordered equations: 0
% Current number of rules: 425
% New rule produced :
% [739]
% composition(converse(composition(A,top)),composition(top,A)) ->
% composition(top,A)
% Current number of equations to process: 4262
% Current number of ordered equations: 0
% Current number of rules: 426
% New rule produced :
% [740]
% composition(converse(composition(top,A)),composition(A,top)) ->
% converse(composition(top,A))
% Current number of equations to process: 4261
% Current number of ordered equations: 0
% Current number of rules: 427
% New rule produced :
% [741]
% composition(converse(composition(A,top)),composition(A,B)) ->
% composition(composition(top,A),B)
% Current number of equations to process: 4661
% Current number of ordered equations: 0
% Current number of rules: 428
% New rule produced :
% [742]
% composition(composition(A,top),composition(converse(B),B)) ->
% composition(A,composition(top,B))
% Current number of equations to process: 4660
% Current number of ordered equations: 0
% Current number of rules: 429
% New rule produced :
% [743] one join converse(complement(complement(one) join A)) -> one
% Current number of equations to process: 4720
% Current number of ordered equations: 0
% Current number of rules: 430
% New rule produced :
% [744]
% converse(complement(one join A)) join complement(one) -> complement(one)
% Current number of equations to process: 4858
% Current number of ordered equations: 0
% Current number of rules: 431
% New rule produced :
% [745]
% converse(complement(composition(A,top))) join converse(complement(A)) ->
% converse(complement(A))
% Current number of equations to process: 1323
% Current number of ordered equations: 0
% Current number of rules: 432
% Rule [479]
% composition(converse(A),A) join complement(one) ->
% converse(composition(top,A)) join complement(one) is composed into 
% [479]
% composition(converse(A),A) join complement(one) ->
% composition(top,A) join complement(one)
% New rule produced :
% [746]Cputime limit exceeded (core dumped)
% 
% EOF
%------------------------------------------------------------------------------