TSTP Solution File: REL027-1 by CiME---2.01
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : REL027-1 : TPTP v6.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n063.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 00:31:10 EDT 2014
% Result : Unsatisfiable 207.21s
% Output : Refutation 207.21s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : REL027-1 : TPTP v6.0.0. Released v4.0.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n063.star.cs.uiowa.edu
% % Model : x86_64 x86_64
% % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory : 32286.75MB
% % OS : Linux 2.6.32-431.11.2.el6.x86_64
% % CPULimit : 300
% % DateTime : Thu Jun 5 23:19:18 CDT 2014
% % CPUTime : 207.21
% Processing problem /tmp/CiME_15214_n063.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " join : AC; sk1,zero,top,one : constant; converse : 1; composition : 2; meet : 2; complement : 1;";
% let X = vars "A B C";
% let Axioms = equations F X "
% composition(composition(A,B),C) = composition(A,composition(B,C));
% A = complement(complement(A) join complement(B)) join complement(complement(A) join B);
% meet(A,B) = complement(complement(A) join complement(B));
% composition(A,one) = A;
% composition(A join B,C) = composition(A,C) join composition(B,C);
% converse(converse(A)) = A;
% converse(A join B) = converse(A) join converse(B);
% converse(composition(A,B)) = composition(converse(B),converse(A));
% composition(converse(A),complement(composition(A,B))) join complement(B) = complement(B);
% top = A join complement(A);
% zero = meet(A,complement(A));
% sk1 join one = one;
% ";
%
% let s1 = status F "
% sk1 lr_lex;
% zero lr_lex;
% top lr_lex;
% converse lr_lex;
% one lr_lex;
% meet lr_lex;
% complement lr_lex;
% composition mul;
% join mul;
% ";
%
% let p1 = precedence F "
% meet > composition > complement > converse > join > one > top > zero > sk1";
%
% let s2 = status F "
% sk1 mul;
% zero mul;
% top mul;
% converse mul;
% one mul;
% composition mul;
% meet mul;
% complement mul;
% join mul;
% ";
%
% let p2 = precedence F "
% meet > composition > complement > converse > join > one = top = zero = sk1";
%
% let o_auto = AUTO Axioms;
%
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
%
% let Conjectures = equations F X " meet(complement(composition(sk1,top)),one) = meet(complement(sk1),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)),
% sk1 join one = one } (12 equation(s))
% s1 : F status = <status>
% p1 : F precedence = <precedence>
% s2 : F status = <status>
% p2 : F precedence = <precedence>
% o_auto : F term_ordering = <term ordering>
% o : F term_ordering = <term ordering>
% Conjectures : (F,X) equations = { meet(complement(composition(sk1,top)),one)
% = meet(complement(sk1),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: 12
% Current number of rules: 1
% New rule produced : [2] sk1 join one -> one
% Current number of equations to process: 0
% Current number of ordered equations: 11
% Current number of rules: 2
% New rule produced : [3] composition(A,one) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 10
% Current number of rules: 3
% New rule produced : [4] complement(A) join A -> top
% Current number of equations to process: 0
% Current number of ordered equations: 9
% Current number of rules: 4
% New rule produced : [5] meet(A,complement(A)) -> zero
% Current number of equations to process: 0
% Current number of ordered equations: 8
% Current number of rules: 5
% New rule produced : [6] converse(A join B) -> converse(A) join converse(B)
% Current number of equations to process: 0
% Current number of ordered equations: 7
% Current number of rules: 6
% New rule produced :
% [7] composition(converse(B),converse(A)) -> converse(composition(A,B))
% Current number of equations to process: 0
% Current number of ordered equations: 6
% Current number of rules: 7
% New rule produced :
% [8] composition(A,composition(B,C)) <-> composition(composition(A,B),C)
% Current number of equations to process: 28
% Current number of ordered equations: 15
% Current number of rules: 8
% New rule produced :
% [9] composition(composition(A,B),C) <-> composition(A,composition(B,C))
% Current number of equations to process: 28
% Current number of ordered equations: 14
% Current number of rules: 9
% New rule produced :
% [10] meet(A,B) -> complement(complement(A) join complement(B))
% Rule [5] meet(A,complement(A)) -> zero collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% complement(complement(one) join complement(complement(composition(sk1,top)))) =
% complement(complement(one) join complement(complement(sk1)))
%
% Current number of equations to process: 29
% Current number of ordered equations: 13
% Current number of rules: 9
% New rule produced : [11] complement(top) -> zero
% Current number of equations to process: 28
% Current number of ordered equations: 13
% Current number of rules: 10
% New rule produced :
% [12] composition(A join B,C) -> composition(A,C) join composition(B,C)
% Current number of equations to process: 28
% Current number of ordered equations: 12
% Current number of rules: 11
% New rule produced :
% [13]
% composition(converse(A),complement(composition(A,B))) join complement(B) ->
% complement(B)
% Current number of equations to process: 28
% Current number of ordered equations: 11
% Current number of rules: 12
% New rule produced :
% [14]
% complement(complement(A) join complement(B)) join complement(complement(A) join B)
% -> A
% Current number of equations to process: 28
% Current number of ordered equations: 10
% Current number of rules: 13
% New rule produced : [15] sk1 join top -> top
% Current number of equations to process: 28
% Current number of ordered equations: 8
% Current number of rules: 14
% New rule produced : [16] one join complement(sk1) -> top join one
% Current number of equations to process: 28
% Current number of ordered equations: 7
% Current number of rules: 15
% New rule produced : [17] converse(sk1) join converse(one) -> converse(one)
% Current number of equations to process: 28
% Current number of ordered equations: 6
% Current number of rules: 16
% New rule produced : [18] top join complement(complement(A)) -> top join A
% Current number of equations to process: 28
% 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: 28
% 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: 28
% 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: 28
% 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: 28
% 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: 28
% 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: 30
% 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: 36
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [26] composition(sk1,A) join composition(one,A) -> composition(one,A)
% Current number of equations to process: 51
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [27] one join complement(sk1 join A) join A -> top join one
% Current number of equations to process: 49
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [28] composition(complement(B),A) join composition(B,A) -> composition(top,A)
% Current number of equations to process: 48
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [29] top join composition(converse(A),complement(composition(A,B))) -> top
% Current number of equations to process: 47
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [30] top join complement(A join B) join B -> top join complement(A)
% Current number of equations to process: 46
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [31]
% composition(A,converse(composition(B,C))) <->
% composition(composition(A,converse(C)),converse(B))
% Current number of equations to process: 45
% Current number of ordered equations: 1
% Current number of rules: 30
% New rule produced :
% [32]
% composition(composition(A,converse(C)),converse(B)) <->
% composition(A,converse(composition(B,C)))
% Current number of equations to process: 45
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [33]
% composition(converse(B),composition(converse(A),C)) <->
% composition(converse(composition(A,B)),C)
% Current number of equations to process: 44
% Current number of ordered equations: 1
% Current number of rules: 32
% New rule produced :
% [34]
% composition(converse(composition(A,B)),C) <->
% composition(converse(B),composition(converse(A),C))
% Current number of equations to process: 44
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [35] top join complement(complement(A join B) join B) -> top join A
% Current number of equations to process: 41
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [36]
% composition(A,composition(composition(B,C),V_3)) <->
% composition(composition(A,B),composition(C,V_3))
% Current number of equations to process: 39
% Current number of ordered equations: 1
% Current number of rules: 35
% New rule produced :
% [37]
% composition(composition(A,B),composition(C,V_3)) <->
% composition(A,composition(composition(B,C),V_3))
% Current number of equations to process: 39
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [38]
% composition(A,composition(composition(B,C),V_3)) <->
% composition(composition(composition(A,B),C),V_3)
% Current number of equations to process: 36
% Current number of ordered equations: 5
% Current number of rules: 37
% New rule produced :
% [39]
% composition(A,composition(B,composition(C,V_3))) <->
% composition(composition(A,composition(B,C)),V_3)
% Current number of equations to process: 36
% Current number of ordered equations: 4
% Current number of rules: 38
% New rule produced :
% [40]
% composition(A,composition(B,composition(C,V_3))) <->
% composition(composition(composition(A,B),C),V_3)
% Current number of equations to process: 36
% Current number of ordered equations: 3
% Current number of rules: 39
% New rule produced :
% [41]
% composition(composition(A,composition(B,C)),V_3) <->
% composition(A,composition(B,composition(C,V_3)))
% Current number of equations to process: 36
% Current number of ordered equations: 2
% Current number of rules: 40
% New rule produced :
% [42]
% composition(composition(composition(A,B),C),V_3) <->
% composition(A,composition(composition(B,C),V_3))
% Current number of equations to process: 36
% Current number of ordered equations: 1
% Current number of rules: 41
% New rule produced :
% [43]
% composition(composition(composition(A,B),C),V_3) <->
% composition(A,composition(B,composition(C,V_3)))
% Current number of equations to process: 36
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [44]
% composition(composition(A,composition(B,C)),V_3) <->
% composition(composition(A,B),composition(C,V_3))
% Current number of equations to process: 35
% Current number of ordered equations: 1
% Current number of rules: 43
% New rule produced :
% [45]
% composition(composition(A,B),composition(C,V_3)) <->
% composition(composition(A,composition(B,C)),V_3)
% Current number of equations to process: 35
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [46]
% composition(converse(A),complement(A)) join complement(one) ->
% complement(one)
% Current number of equations to process: 43
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [47]
% zero join composition(converse(A),complement(composition(A,top))) -> zero
% Current number of equations to process: 48
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [48] zero join complement(complement(A) join complement(A)) -> A
% Current number of equations to process: 76
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [49] top join complement(complement(A) join B) -> top join complement(B)
% Rule [35] top join complement(complement(A join B) join B) -> top join A
% collapsed.
% Current number of equations to process: 75
% Current number of ordered equations: 1
% Current number of rules: 47
% New rule produced : [50] top join A <-> top join complement(B)
% Rule [18] top join complement(complement(A)) -> top join A collapsed.
% Rule
% [29] top join composition(converse(A),complement(composition(A,B))) -> top
% collapsed.
% Rule [30] top join complement(A join B) join B -> top join complement(A)
% collapsed.
% Rule [49] top join complement(complement(A) join B) -> top join complement(B)
% collapsed.
% Current number of equations to process: 76
% Current number of ordered equations: 2
% Current number of rules: 44
% Rule [50] top join A <-> top join complement(B) is composed into [50]
% top join A
% -> top
% New rule produced : [51] top join complement(B) -> top
% Current number of equations to process: 75
% Current number of ordered equations: 1
% Current number of rules: 45
% New rule produced :
% [52] zero join complement(complement(complement(A)) join A) -> complement(A)
% Current number of equations to process: 74
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced : [53] complement(complement(A)) -> A
% Rule
% [52] zero join complement(complement(complement(A)) join A) -> complement(A)
% collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% complement(composition(sk1,top) join complement(one)) = complement(sk1 join
% complement(one))
%
% Current number of equations to process: 73
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced : [54] zero join complement(A join A) -> complement(A)
% Rule [48] zero join complement(complement(A) join complement(A)) -> A
% collapsed.
% Current number of equations to process: 72
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [55]
% converse(composition(C,A join B)) ->
% converse(composition(C,A)) join converse(composition(C,B))
% Current number of equations to process: 70
% Current number of ordered equations: 1
% Current number of rules: 47
% New rule produced :
% [56]
% composition(converse(A),converse(B) join converse(C)) ->
% converse(composition(B,A)) join converse(composition(C,A))
% Current number of equations to process: 70
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [57]
% composition(A,complement(composition(converse(A),B))) join complement(B) ->
% complement(B)
% Current number of equations to process: 69
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [58]
% converse(complement(A join B)) join converse(A) join converse(B) ->
% converse(top)
% Current number of equations to process: 65
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced : [59] zero join complement(zero join complement(A)) -> A
% Current number of equations to process: 79
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [60]
% complement(complement(A) join B) join B <->
% complement(complement(B) join A) join A
% Current number of equations to process: 78
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [61] complement(zero join complement(A)) join complement(zero join A) -> top
% Current number of equations to process: 76
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced : [62] converse(sk1) join converse(top) -> converse(top)
% Current number of equations to process: 88
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [63] converse(one) join converse(complement(sk1)) -> converse(top)
% Current number of equations to process: 92
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [64] composition(sk1,A) join composition(top,A) -> composition(top,A)
% Current number of equations to process: 94
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced : [65] converse(one) join complement(converse(sk1)) -> top
% Current number of equations to process: 101
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [66] zero join complement(complement(sk1) join complement(one)) -> sk1
% Current number of equations to process: 103
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced : [67] converse(top) join converse(A) -> converse(top)
% Rule [62] converse(sk1) join converse(top) -> converse(top) collapsed.
% Current number of equations to process: 101
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced : [68] converse(top) join complement(converse(A)) -> top
% Current number of equations to process: 110
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [69] converse(complement(converse(A))) join A -> converse(top)
% Current number of equations to process: 109
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [70]
% composition(one,A) join composition(complement(sk1),A) -> composition(top,A)
% Current number of equations to process: 109
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced : [71] composition(converse(one),A) -> A
% Current number of equations to process: 118
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [72]
% converse(composition(converse(A),B)) <->
% composition(converse(composition(one,B)),A)
% Current number of equations to process: 163
% Current number of ordered equations: 1
% Current number of rules: 63
% New rule produced :
% [73]
% composition(converse(composition(one,B)),A) <->
% converse(composition(converse(A),B))
% Current number of equations to process: 163
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [74] composition(zero,A) join composition(top,A) -> composition(top,A)
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [75] composition(one,A) join complement(composition(sk1,A)) -> top
% Current number of equations to process: 161
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [76]
% composition(A,converse(composition(B,converse(one)))) ->
% composition(A,converse(B))
% Current number of equations to process: 163
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [77]
% converse(composition(converse(composition(one,A)),B)) <->
% composition(converse(B),A)
% Current number of equations to process: 162
% Current number of ordered equations: 1
% Current number of rules: 68
% New rule produced :
% [78]
% composition(converse(B),A) <->
% converse(composition(converse(composition(one,A)),B))
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [79]
% composition(A,composition(composition(one,B),C)) ->
% composition(A,composition(B,C))
% Current number of equations to process: 161
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [80]
% converse(composition(A,composition(B,converse(C)))) <->
% composition(C,converse(composition(A,B)))
% Current number of equations to process: 157
% Current number of ordered equations: 1
% Current number of rules: 71
% New rule produced :
% [81]
% composition(C,converse(composition(A,B))) <->
% converse(composition(A,composition(B,converse(C))))
% Current number of equations to process: 157
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [82]
% converse(composition(composition(converse(A),B),C)) <->
% composition(converse(composition(B,C)),A)
% Current number of equations to process: 156
% Current number of ordered equations: 1
% Current number of rules: 73
% New rule produced :
% [83]
% composition(converse(composition(B,C)),A) <->
% converse(composition(composition(converse(A),B),C))
% Current number of equations to process: 156
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [84]
% composition(A,converse(composition(B,converse(C)))) <->
% composition(composition(A,C),converse(B))
% Current number of equations to process: 155
% Current number of ordered equations: 1
% Current number of rules: 75
% New rule produced :
% [85]
% composition(composition(A,C),converse(B)) <->
% composition(A,converse(composition(B,converse(C))))
% Current number of equations to process: 155
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [86]
% converse(composition(C,converse(composition(A,B)))) <->
% composition(A,composition(B,converse(C)))
% Current number of equations to process: 153
% Current number of ordered equations: 3
% Current number of rules: 77
% New rule produced :
% [87]
% composition(A,composition(B,converse(C))) <->
% converse(composition(C,converse(composition(A,B))))
% Current number of equations to process: 153
% Current number of ordered equations: 2
% Current number of rules: 78
% New rule produced :
% [88]
% composition(B,composition(converse(A),C)) <->
% composition(converse(composition(A,converse(B))),C)
% Current number of equations to process: 153
% Current number of ordered equations: 1
% Current number of rules: 79
% New rule produced :
% [89]
% composition(converse(composition(A,converse(B))),C) <->
% composition(B,composition(converse(A),C))
% Current number of equations to process: 153
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [90]
% converse(composition(converse(composition(B,C)),A)) <->
% composition(composition(converse(A),B),C)
% Current number of equations to process: 151
% Current number of ordered equations: 3
% Current number of rules: 81
% New rule produced :
% [91]
% composition(A,converse(composition(converse(B),C))) <->
% composition(composition(A,converse(C)),B)
% Current number of equations to process: 151
% Current number of ordered equations: 2
% Current number of rules: 82
% New rule produced :
% [92]
% composition(composition(converse(A),B),C) <->
% converse(composition(converse(composition(B,C)),A))
% Current number of equations to process: 151
% Current number of ordered equations: 1
% Current number of rules: 83
% New rule produced :
% [93]
% composition(composition(A,converse(C)),B) <->
% composition(A,converse(composition(converse(B),C)))
% Current number of equations to process: 151
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [94]
% composition(converse(B),composition(A,C)) <->
% composition(converse(composition(converse(A),B)),C)
% Current number of equations to process: 150
% Current number of ordered equations: 1
% Current number of rules: 85
% New rule produced :
% [95]
% composition(converse(composition(converse(A),B)),C) <->
% composition(converse(B),composition(A,C))
% Current number of equations to process: 150
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced : [96] one join complement(sk1 join sk1) -> top
% Current number of equations to process: 157
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [97] zero join complement(complement(one join A) join complement(sk1)) -> sk1
% Current number of equations to process: 171
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [98] converse(one) join complement(converse(sk1) join A) join A -> top
% Current number of equations to process: 170
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced :
% [99] converse(top) join complement(converse(A) join B) join B -> top
% Current number of equations to process: 169
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [100]
% converse(composition(C,composition(B,converse(A)))) <->
% composition(composition(A,converse(B)),converse(C))
% Current number of equations to process: 167
% Current number of ordered equations: 3
% Current number of rules: 91
% New rule produced :
% [101]
% converse(composition(composition(C,converse(B)),A)) <->
% composition(converse(A),composition(B,converse(C)))
% Current number of equations to process: 167
% Current number of ordered equations: 2
% Current number of rules: 92
% New rule produced :
% [102]
% composition(converse(A),composition(B,converse(C))) <->
% converse(composition(composition(C,converse(B)),A))
% Current number of equations to process: 167
% Current number of ordered equations: 1
% Current number of rules: 93
% New rule produced :
% [103]
% composition(composition(A,converse(B)),converse(C)) <->
% converse(composition(C,composition(B,converse(A))))
% Current number of equations to process: 167
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [104]
% converse(composition(C,composition(converse(B),A))) <->
% composition(composition(converse(A),B),converse(C))
% Current number of equations to process: 164
% Current number of ordered equations: 3
% Current number of rules: 95
% New rule produced :
% [105]
% converse(composition(composition(converse(C),B),A)) <->
% composition(converse(A),composition(converse(B),C))
% Current number of equations to process: 164
% Current number of ordered equations: 2
% Current number of rules: 96
% New rule produced :
% [106]
% composition(converse(A),composition(converse(B),C)) <->
% converse(composition(composition(converse(C),B),A))
% Current number of equations to process: 164
% Current number of ordered equations: 1
% Current number of rules: 97
% New rule produced :
% [107]
% composition(composition(converse(A),B),converse(C)) <->
% converse(composition(C,composition(converse(B),A)))
% Current number of equations to process: 164
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced :
% [108] one join complement(sk1 join sk1 join A) join A -> top
% Current number of equations to process: 159
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [109] composition(top,A) join complement(composition(B,A)) -> top
% Current number of equations to process: 213
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [110] one join converse(one) join complement(sk1 join converse(sk1)) -> top
% Current number of equations to process: 218
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [111] one join converse(top) join complement(sk1 join converse(A)) -> top
% Current number of equations to process: 217
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [112] composition(top,A) join composition(one,A) -> composition(top,A)
% Current number of equations to process: 223
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [113]
% composition(composition(A,converse(one)),converse(B)) ->
% composition(A,converse(B))
% Current number of equations to process: 236
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced : [114] composition(converse(sk1),A) join A -> A
% Current number of equations to process: 239
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [115]
% converse(composition(composition(C,converse(B)),converse(A))) <->
% composition(A,composition(B,converse(C)))
% Current number of equations to process: 238
% Current number of ordered equations: 1
% Current number of rules: 106
% New rule produced :
% [116]
% composition(A,composition(B,converse(C))) <->
% converse(composition(composition(C,converse(B)),converse(A)))
% Current number of equations to process: 238
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced :
% [117]
% converse(composition(composition(converse(C),B),converse(A))) <->
% composition(A,composition(converse(B),C))
% Current number of equations to process: 237
% Current number of ordered equations: 1
% Current number of rules: 108
% New rule produced :
% [118]
% composition(A,composition(converse(B),C)) <->
% converse(composition(composition(converse(C),B),converse(A)))
% Current number of equations to process: 237
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced :
% [119]
% converse(composition(converse(C),composition(B,converse(A)))) <->
% composition(composition(A,converse(B)),C)
% Current number of equations to process: 236
% Current number of ordered equations: 1
% Current number of rules: 110
% New rule produced :
% [120]
% composition(composition(A,converse(B)),C) <->
% converse(composition(converse(C),composition(B,converse(A))))
% Current number of equations to process: 236
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [121]
% converse(composition(converse(C),composition(converse(B),A))) <->
% composition(composition(converse(A),B),C)
% Current number of equations to process: 235
% Current number of ordered equations: 1
% Current number of rules: 112
% New rule produced :
% [122]
% composition(composition(converse(A),B),C) <->
% converse(composition(converse(C),composition(converse(B),A)))
% Current number of equations to process: 235
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [123]
% converse(composition(sk1,A)) join converse(composition(one,A)) ->
% converse(composition(one,A))
% Current number of equations to process: 234
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced :
% [124]
% converse(composition(composition(A,B),converse(C))) <->
% composition(composition(C,converse(B)),converse(A))
% Current number of equations to process: 249
% Current number of ordered equations: 1
% Current number of rules: 115
% New rule produced :
% [125]
% composition(composition(C,converse(B)),converse(A)) <->
% converse(composition(composition(A,B),converse(C)))
% Current number of equations to process: 249
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [126]
% converse(composition(composition(A,converse(B)),converse(C))) <->
% composition(composition(C,B),converse(A))
% Current number of equations to process: 248
% Current number of ordered equations: 1
% Current number of rules: 117
% New rule produced :
% [127]
% composition(composition(C,B),converse(A)) <->
% converse(composition(composition(A,converse(B)),converse(C)))
% Current number of equations to process: 248
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [128]
% converse(composition(A,converse(composition(B,C)))) <->
% composition(B,converse(composition(A,converse(C))))
% Current number of equations to process: 264
% Current number of ordered equations: 1
% Current number of rules: 119
% New rule produced :
% [129]
% composition(B,converse(composition(A,converse(C)))) <->
% converse(composition(A,converse(composition(B,C))))
% Current number of equations to process: 264
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [130]
% converse(composition(A,converse(composition(B,converse(C))))) <->
% composition(B,converse(composition(A,C)))
% Current number of equations to process: 263
% Current number of ordered equations: 1
% Current number of rules: 121
% New rule produced :
% [131]
% composition(B,converse(composition(A,C))) <->
% converse(composition(A,converse(composition(B,converse(C)))))
% Current number of equations to process: 263
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [132]
% converse(composition(converse(composition(A,B)),C)) <->
% composition(converse(composition(converse(A),C)),B)
% Current number of equations to process: 278
% Current number of ordered equations: 1
% Current number of rules: 123
% New rule produced :
% [133]
% composition(converse(composition(converse(A),C)),B) <->
% converse(composition(converse(composition(A,B)),C))
% Current number of equations to process: 278
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [134]
% converse(composition(converse(composition(converse(A),B)),C)) <->
% composition(converse(composition(A,C)),B)
% Current number of equations to process: 277
% Current number of ordered equations: 1
% Current number of rules: 125
% New rule produced :
% [135]
% composition(converse(composition(A,C)),B) <->
% converse(composition(converse(composition(converse(A),B)),C))
% Current number of equations to process: 277
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [136]
% converse(composition(converse(A),composition(B,C))) <->
% composition(converse(C),composition(converse(B),A))
% Current number of equations to process: 297
% Current number of ordered equations: 1
% Current number of rules: 127
% New rule produced :
% [137]
% composition(converse(C),composition(converse(B),A)) <->
% converse(composition(converse(A),composition(B,C)))
% Current number of equations to process: 297
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [138]
% converse(composition(converse(A),composition(converse(B),C))) <->
% composition(converse(C),composition(B,A))
% Current number of equations to process: 298
% Current number of ordered equations: 1
% Current number of rules: 129
% New rule produced :
% [139]
% composition(converse(C),composition(B,A)) <->
% converse(composition(converse(A),composition(converse(B),C)))
% Current number of equations to process: 298
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [140]
% composition(A,complement(converse(A))) join complement(one) ->
% complement(one)
% Current number of equations to process: 822
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [141]
% converse(composition(converse(zero),top)) join complement(one) ->
% complement(one)
% Current number of equations to process: 821
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [142]
% complement(one) join complement(composition(converse(A),complement(A))) ->
% top
% Current number of equations to process: 823
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced : [143] zero join one -> one
% Current number of equations to process: 826
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [144]
% zero join composition(A,complement(composition(converse(A),top))) -> zero
% Current number of equations to process: 846
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [145]
% zero join complement(composition(converse(A),complement(composition(A,top))))
% -> top
% Current number of equations to process: 845
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [146] composition(top,A) join composition(B,A) -> composition(top,A)
% Rule [64] composition(sk1,A) join composition(top,A) -> composition(top,A)
% collapsed.
% Rule [74] composition(zero,A) join composition(top,A) -> composition(top,A)
% collapsed.
% Rule [112] composition(top,A) join composition(one,A) -> composition(top,A)
% collapsed.
% Current number of equations to process: 858
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced : [147] complement(zero) -> top
% Current number of equations to process: 858
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [148]
% composition(converse(A),complement(composition(A,complement(B)))) join B -> B
% Current number of equations to process: 859
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [149] complement(complement(A join A) join A) -> zero join zero
% Current number of equations to process: 884
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [150] complement(zero join A) join complement(B) join A -> top
% Current number of equations to process: 885
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [151]
% converse(zero) join converse(complement(A join A)) -> converse(complement(A))
% Current number of equations to process: 884
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced : [152] A join A <-> zero join A
% Current number of equations to process: 889
% Current number of ordered equations: 1
% Current number of rules: 140
% New rule produced : [153] zero join A <-> A join A
% Current number of equations to process: 889
% Current number of ordered equations: 0
% Current number of rules: 141
% Rule [149] complement(complement(A join A) join A) -> zero join zero is composed into
% [149] complement(complement(A join A) join A) -> zero
% New rule produced : [154] zero join zero -> zero
% Current number of equations to process: 901
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [155]
% converse(composition(converse(A),complement(A))) join complement(one) ->
% complement(one)
% Current number of equations to process: 899
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [156]
% complement(A join A) join complement(B) <->
% complement(B join B) join complement(A)
% Current number of equations to process: 898
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [157] complement(complement(A join A) join A join B) -> zero
% Current number of equations to process: 897
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [158] converse(composition(A,sk1)) join converse(A) -> converse(A)
% Current number of equations to process: 922
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [159] composition(A,B join C) -> composition(A,B) join composition(A,C)
% Rule
% [55]
% converse(composition(C,A join B)) ->
% converse(composition(C,A)) join converse(composition(C,B)) collapsed.
% Rule
% [56]
% composition(converse(A),converse(B) join converse(C)) ->
% converse(composition(B,A)) join converse(composition(C,A)) collapsed.
% Current number of equations to process: 924
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [160]
% complement(complement(A) join B) join complement(A join B) -> complement(B)
% Rule
% [14]
% complement(complement(A) join complement(B)) join complement(complement(A) join B)
% -> A collapsed.
% Rule
% [61] complement(zero join complement(A)) join complement(zero join A) -> top
% collapsed.
% Current number of equations to process: 945
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [161]
% composition(A,complement(composition(converse(A),complement(B)))) join B -> B
% Current number of equations to process: 972
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [162] converse(top) join complement(converse(A) join converse(B)) -> top
% Current number of equations to process: 987
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [163]
% composition(converse(B),complement(composition(B,top))) join complement(A) ->
% complement(A)
% Current number of equations to process: 995
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced : [164] zero join converse(top) -> converse(top)
% Current number of equations to process: 1002
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [165]
% converse(composition(converse(A),complement(A))) join converse(complement(one))
% -> converse(complement(one))
% Current number of equations to process: 1010
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [166]
% complement(composition(A,complement(composition(converse(A),B)))) join
% complement(B) -> top
% Current number of equations to process: 1007
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [167]
% complement(converse(complement(A join A)) join converse(A)) ->
% zero join complement(converse(top))
% Current number of equations to process: 1005
% Current number of ordered equations: 0
% Current number of rules: 151
% Rule [167]
% complement(converse(complement(A join A)) join converse(A)) ->
% zero join complement(converse(top)) is composed into [167]
% complement(
% converse(complement(
% A join A)) join
% converse(A)) ->
% zero join complement(top)
% Rule [69] converse(complement(converse(A))) join A -> converse(top) is composed into
% [69] converse(complement(converse(A))) join A -> top
% Rule [63] converse(one) join converse(complement(sk1)) -> converse(top) is composed into
% [63] converse(one) join converse(complement(sk1)) -> top
% Rule [58]
% converse(complement(A join B)) join converse(A) join converse(B) ->
% converse(top) is composed into [58]
% 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 : [168] converse(top) -> top
% Rule [67] converse(top) join converse(A) -> converse(top) collapsed.
% Rule [68] converse(top) join complement(converse(A)) -> top collapsed.
% Rule [99] converse(top) join complement(converse(A) join B) join B -> top
% collapsed.
% Rule
% [111] one join converse(top) join complement(sk1 join converse(A)) -> top
% collapsed.
% Rule [162] converse(top) join complement(converse(A) join converse(B)) -> top
% collapsed.
% Rule [164] zero join converse(top) -> converse(top) collapsed.
% Current number of equations to process: 1006
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced : [169] complement(zero join A) join A join B -> top
% Rule [150] complement(zero join A) join complement(B) join A -> top
% collapsed.
% Current number of equations to process: 1010
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced : [170] zero join complement(zero join A) -> complement(A)
% Rule [59] zero join complement(zero join complement(A)) -> A collapsed.
% Current number of equations to process: 1021
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [171] composition(converse(B),complement(composition(B,top))) join A -> A
% Rule
% [47]
% 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: 1020
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced : [172] complement(zero join A) join A -> top
% Rule [169] complement(zero join A) join A join B -> top collapsed.
% Current number of equations to process: 1020
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [173]
% converse(zero) join converse(complement(zero join complement(A))) ->
% converse(A)
% Current number of equations to process: 1049
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced : [174] zero join A join A -> zero join A
% Current number of equations to process: 1212
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [175]
% complement(zero join complement(A)) join complement(B) ->
% complement(B) join A
% Current number of equations to process: 1210
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [176] complement(complement(one) join A) join complement(sk1) join A -> top
% Current number of equations to process: 1209
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [177] composition(converse(complement(sk1)),A) join A -> composition(top,A)
% Current number of equations to process: 1278
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced : [178] one join converse(complement(converse(sk1))) -> top
% Current number of equations to process: 1288
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [179] composition(complement(converse(sk1)),A) join A -> composition(top,A)
% Current number of equations to process: 1290
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [180] sk1 join sk1 join complement(one) -> sk1 join complement(one)
% Current number of equations to process: 1322
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [181] sk1 join complement(zero join complement(A)) -> sk1 join A
% Current number of equations to process: 1330
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [182] converse(complement(converse(zero))) join complement(A) -> top
% Current number of equations to process: 1343
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [183]
% zero join complement(sk1) join complement(one) -> zero join complement(sk1)
% Current number of equations to process: 1344
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [184] sk1 join converse(complement(converse(zero))) -> top
% Current number of equations to process: 1357
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [185]
% converse(complement(converse(composition(A,B)))) join composition(top,B) ->
% top
% Current number of equations to process: 1384
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [186]
% converse(complement(converse(composition(sk1,A)))) join composition(one,A) ->
% top
% Current number of equations to process: 1383
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [187]
% converse(complement(converse(complement(A join A)))) join complement(A) ->
% top
% Current number of equations to process: 1382
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced : [188] converse(one) -> one
% Rule [17] converse(sk1) join converse(one) -> converse(one) collapsed.
% Rule [63] converse(one) join converse(complement(sk1)) -> top collapsed.
% Rule [65] converse(one) join complement(converse(sk1)) -> top collapsed.
% Rule [71] composition(converse(one),A) -> A collapsed.
% Rule
% [76]
% composition(A,converse(composition(B,converse(one)))) ->
% composition(A,converse(B)) collapsed.
% Rule [98] converse(one) join complement(converse(sk1) join A) join A -> top
% collapsed.
% Rule
% [110] one join converse(one) join complement(sk1 join converse(sk1)) -> top
% collapsed.
% Rule
% [113]
% composition(composition(A,converse(one)),converse(B)) ->
% composition(A,converse(B)) collapsed.
% Current number of equations to process: 1400
% Current number of ordered equations: 0
% Current number of rules: 153
% Rule [78]
% composition(converse(B),A) <->
% converse(composition(converse(composition(one,A)),B)) is composed into
% [78] 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 : [189] composition(one,A) -> A
% Rule [24] composition(A,composition(one,B)) -> composition(A,B) collapsed.
% Rule [26] composition(sk1,A) join composition(one,A) -> composition(one,A)
% collapsed.
% Rule
% [70]
% composition(one,A) join composition(complement(sk1),A) -> composition(top,A)
% collapsed.
% Rule
% [73]
% composition(converse(composition(one,B)),A) <->
% converse(composition(converse(A),B)) collapsed.
% Rule [75] composition(one,A) join complement(composition(sk1,A)) -> top
% collapsed.
% Rule
% [77]
% converse(composition(converse(composition(one,A)),B)) <->
% composition(converse(B),A) collapsed.
% Rule
% [79]
% composition(A,composition(composition(one,B),C)) ->
% composition(A,composition(B,C)) collapsed.
% Rule
% [123]
% converse(composition(sk1,A)) join converse(composition(one,A)) ->
% converse(composition(one,A)) collapsed.
% Rule
% [186]
% converse(complement(converse(composition(sk1,A)))) join composition(one,A) ->
% top collapsed.
% Current number of equations to process: 1404
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced : [190] one join converse(sk1) -> one
% Current number of equations to process: 1403
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced : [191] composition(sk1,A) join A -> A
% Current number of equations to process: 1402
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced : [192] one join converse(complement(sk1)) -> top
% Current number of equations to process: 1401
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced : [193] one join complement(converse(sk1)) -> top
% Current number of equations to process: 1400
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced : [194] complement(composition(sk1,A)) join A -> top
% Current number of equations to process: 1399
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced :
% [195] composition(complement(sk1),A) join A -> composition(top,A)
% Current number of equations to process: 1398
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [196] converse(composition(sk1,A)) join converse(A) -> converse(A)
% Current number of equations to process: 1397
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [197] converse(complement(converse(composition(sk1,A)))) join A -> top
% Current number of equations to process: 1396
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [198] composition(complement(one),A) join A -> composition(top,A)
% Current number of equations to process: 1395
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [199] one join complement(converse(sk1) join A) join A -> top
% Current number of equations to process: 1395
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced : [200] one join complement(sk1 join converse(sk1)) -> top
% Current number of equations to process: 1394
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [201]
% composition(B,converse(composition(converse(C),A))) <->
% composition(converse(composition(A,converse(B))),C)
% Current number of equations to process: 1479
% Current number of ordered equations: 1
% Current number of rules: 157
% New rule produced :
% [202]
% composition(converse(composition(A,converse(B))),C) <->
% composition(B,converse(composition(converse(C),A)))
% Current number of equations to process: 1479
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [203]
% converse(composition(composition(A,converse(B)),C)) <->
% composition(composition(converse(C),B),converse(A))
% Current number of equations to process: 1693
% Current number of ordered equations: 1
% Current number of rules: 159
% New rule produced :
% [204]
% composition(composition(converse(C),B),converse(A)) <->
% converse(composition(composition(A,converse(B)),C))
% Current number of equations to process: 1693
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [205]
% converse(composition(A,composition(converse(B),C))) <->
% composition(converse(C),composition(B,converse(A)))
% Current number of equations to process: 1806
% Current number of ordered equations: 1
% Current number of rules: 161
% New rule produced :
% [206]
% composition(converse(C),composition(B,converse(A))) <->
% converse(composition(A,composition(converse(B),C)))
% Current number of equations to process: 1806
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced : [207] one join converse(complement(sk1 join sk1)) -> top
% Current number of equations to process: 2464
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [208] composition(complement(sk1 join sk1),A) join A -> composition(top,A)
% Current number of equations to process: 2472
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [209]
% converse(zero) join converse(complement(complement(sk1) join complement(one)))
% -> converse(sk1)
% Current number of equations to process: 2482
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [210]
% converse(composition(converse(C),composition(B,converse(A)))) <->
% composition(A,composition(converse(B),C))
% Current number of equations to process: 2480
% Current number of ordered equations: 1
% Current number of rules: 166
% New rule produced :
% [211]
% composition(A,composition(converse(B),C)) <->
% converse(composition(converse(C),composition(B,converse(A))))
% Current number of equations to process: 2480
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [212]
% converse(composition(composition(converse(C),B),converse(A))) <->
% composition(composition(A,converse(B)),C)
% Current number of equations to process: 2479
% Current number of ordered equations: 1
% Current number of rules: 168
% New rule produced :
% [213]
% composition(composition(A,converse(B)),C) <->
% converse(composition(composition(converse(C),B),converse(A)))
% Current number of equations to process: 2479
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [214]
% sk1 join sk1 join complement(one join A) -> sk1 join complement(one join A)
% Current number of equations to process: 2546
% Current number of ordered equations: 1
% Current number of rules: 170
% New rule produced :
% [215]
% zero join complement(one join A) join complement(sk1) ->
% zero join complement(sk1)
% Current number of equations to process: 2546
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced : [216] one join complement(sk1 join sk1 join sk1) -> top
% Current number of equations to process: 3172
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced : [217] one join composition(converse(sk1),sk1) -> one
% Current number of equations to process: 3376
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [218] complement(composition(converse(sk1),A)) join A -> top
% Current number of equations to process: 3375
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [219] converse(composition(converse(sk1),A)) join converse(A) -> converse(A)
% Current number of equations to process: 3377
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [220]
% converse(composition(top,A)) join converse(complement(composition(B,A))) ->
% top
% Current number of equations to process: 3378
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [221]
% composition(top,converse(A)) join complement(converse(composition(A,B))) ->
% top
% Current number of equations to process: 3377
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [222]
% composition(top,A) join complement(composition(B,composition(C,A))) -> top
% Current number of equations to process: 3376
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [223]
% converse(composition(A,top)) join complement(composition(B,converse(A))) ->
% top
% Current number of equations to process: 3375
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [224]
% composition(top,A) join complement(converse(composition(converse(A),B))) ->
% top
% Current number of equations to process: 3374
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced : [225] converse(composition(converse(A),sk1)) join A -> A
% Current number of equations to process: 3375
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced : [226] composition(top,A) join A -> composition(top,A)
% Current number of equations to process: 3384
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [227] composition(converse(sk1),zero) join complement(A) -> complement(A)
% Current number of equations to process: 3389
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [228]
% composition(converse(sk1),complement(A join A)) join complement(A) ->
% complement(A)
% Current number of equations to process: 3387
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced : [229] sk1 join composition(converse(sk1),zero) -> sk1
% Current number of equations to process: 3400
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [230]
% converse(complement(converse(composition(converse(sk1),A)))) join A -> top
% Current number of equations to process: 3400
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [231]
% complement(one) join complement(composition(A,complement(converse(A)))) ->
% top
% Current number of equations to process: 3101
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [232]
% complement(one) join complement(converse(composition(converse(zero),top))) ->
% top
% Current number of equations to process: 3175
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [233]
% converse(complement(one)) join composition(converse(zero),top) ->
% converse(complement(one))
% Current number of equations to process: 3174
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [234] composition(top,zero) join complement(one) -> complement(one)
% Current number of equations to process: 3177
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [235]
% converse(complement(composition(converse(zero),top))) join complement(one) ->
% top
% Current number of equations to process: 3176
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [236] complement(one) join complement(composition(top,zero)) -> top
% Current number of equations to process: 3191
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [237]
% complement(one) join complement(converse(composition(converse(A),complement(A))))
% -> top
% Current number of equations to process: 3198
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced : [238] one join converse(zero) -> one
% Current number of equations to process: 3262
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced : [239] composition(zero,A) join A -> A
% Current number of equations to process: 3264
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced : [240] one join converse(complement(one)) -> top
% Current number of equations to process: 3267
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [241] one join converse(complement(converse(zero))) -> top
% Current number of equations to process: 3278
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced : [242] one join composition(converse(sk1),zero) -> one
% Current number of equations to process: 3281
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [243] one join complement(A join A) -> one join complement(A)
% Rule [96] one join complement(sk1 join sk1) -> top collapsed.
% Current number of equations to process: 3279
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [244] one join complement(zero join complement(A)) -> one join A
% Current number of equations to process: 3278
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [245] one join complement(complement(sk1) join complement(one)) -> one
% Current number of equations to process: 3277
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [246]
% zero join composition(A,complement(converse(composition(top,A)))) -> zero
% Current number of equations to process: 3299
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [247] one join complement(complement(one join A) join complement(sk1)) -> one
% Current number of equations to process: 3300
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [248]
% zero join complement(composition(A,complement(composition(converse(A),top))))
% -> top
% Current number of equations to process: 3299
% Current number of ordered equations: 0
% Current number of rules: 203
% Rule [167]
% complement(converse(complement(A join A)) join converse(A)) ->
% zero join complement(top) is composed into [167]
% complement(converse(complement(
% A join A)) join
% converse(A)) ->
% complement(top)
% Rule [152] A join A <-> zero join A is composed into [152] A join A -> A
% New rule produced : [249] zero join A -> A
% Rule [25] zero join top -> top collapsed.
% Rule [54] zero join complement(A join A) -> complement(A) collapsed.
% Rule [66] zero join complement(complement(sk1) join complement(one)) -> sk1
% collapsed.
% Rule
% [97] zero join complement(complement(one join A) join complement(sk1)) -> sk1
% collapsed.
% Rule [143] zero join one -> one collapsed.
% Rule
% [144]
% zero join composition(A,complement(composition(converse(A),top))) -> zero
% collapsed.
% Rule
% [145]
% zero join complement(composition(converse(A),complement(composition(A,top))))
% -> top collapsed.
% Rule [153] zero join A <-> A join A collapsed.
% Rule [154] zero join zero -> zero collapsed.
% Rule [170] zero join complement(zero join A) -> complement(A) collapsed.
% Rule [172] complement(zero join A) join A -> top collapsed.
% Rule
% [173]
% converse(zero) join converse(complement(zero join complement(A))) ->
% converse(A) collapsed.
% Rule [174] zero join A join A -> zero join A collapsed.
% Rule
% [175]
% complement(zero join complement(A)) join complement(B) ->
% complement(B) join A collapsed.
% Rule [181] sk1 join complement(zero join complement(A)) -> sk1 join A
% collapsed.
% Rule
% [183]
% zero join complement(sk1) join complement(one) -> zero join complement(sk1)
% collapsed.
% Rule
% [215]
% zero join complement(one join A) join complement(sk1) ->
% zero join complement(sk1) collapsed.
% Rule [244] one join complement(zero join complement(A)) -> one join A
% collapsed.
% Rule
% [246]
% zero join composition(A,complement(converse(composition(top,A)))) -> zero
% collapsed.
% Rule
% [248]
% zero join complement(composition(A,complement(composition(converse(A),top))))
% -> top collapsed.
% Current number of equations to process: 3315
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [250] complement(sk1) join complement(one) -> complement(sk1)
% Rule
% [209]
% converse(zero) join converse(complement(complement(sk1) join complement(one)))
% -> converse(sk1) collapsed.
% Rule [245] one join complement(complement(sk1) join complement(one)) -> one
% collapsed.
% Current number of equations to process: 3315
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [251] composition(A,complement(composition(converse(A),top))) -> zero
% Current number of equations to process: 3314
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [252] composition(A,complement(converse(composition(top,A)))) -> zero
% Current number of equations to process: 3313
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced : [253] converse(zero) join converse(A) -> converse(A)
% Rule
% [151]
% converse(zero) join converse(complement(A join A)) -> converse(complement(A))
% collapsed.
% Current number of equations to process: 3312
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [254] complement(one join A) join complement(sk1) -> complement(sk1)
% Rule
% [247] one join complement(complement(one join A) join complement(sk1)) -> one
% collapsed.
% Current number of equations to process: 3310
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [255]
% complement(composition(converse(A),complement(composition(A,top)))) -> top
% Current number of equations to process: 3308
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [256] composition(converse(zero),top) join complement(one) -> complement(one)
% Current number of equations to process: 3415
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [257] complement(one) join complement(composition(converse(zero),top)) -> top
% Current number of equations to process: 3414
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [258]
% composition(top,A) join composition(B,composition(C,A)) -> composition(top,A)
% Current number of equations to process: 3437
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [259]
% converse(composition(converse(A),B)) join composition(top,A) ->
% composition(top,A)
% Current number of equations to process: 3436
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [260]
% one join composition(converse(A),complement(composition(A,complement(sk1))))
% -> one
% Current number of equations to process: 3434
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [261]
% converse(composition(top,A)) join converse(composition(B,A)) ->
% converse(composition(top,A))
% Current number of equations to process: 3489
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [262]
% converse(composition(A,B)) join composition(top,converse(A)) ->
% composition(top,converse(A))
% Current number of equations to process: 3488
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [263]
% composition(top,converse(A)) <->
% converse(composition(A,top)) join composition(B,converse(A))
% Rule
% [221]
% composition(top,converse(A)) join complement(converse(composition(A,B))) ->
% top collapsed.
% Rule
% [262]
% converse(composition(A,B)) join composition(top,converse(A)) ->
% composition(top,converse(A)) collapsed.
% Current number of equations to process: 3490
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [264]
% converse(composition(A,top)) join composition(B,converse(A)) <->
% converse(composition(A,top)) join composition(sk1,converse(A))
% Current number of equations to process: 3489
% Current number of ordered equations: 1
% Current number of rules: 193
% New rule produced :
% [265]
% converse(composition(A,top)) join composition(sk1,converse(A)) <->
% converse(composition(A,top)) join composition(B,converse(A))
% Current number of equations to process: 3489
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [266] composition(converse(A),complement(composition(A,top))) -> zero
% Rule
% [171] composition(converse(B),complement(composition(B,top))) join A -> A
% collapsed.
% Rule
% [255]
% complement(composition(converse(A),complement(composition(A,top)))) -> top
% collapsed.
% Current number of equations to process: 3587
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [267] converse(composition(top,zero)) join complement(one) -> complement(one)
% Current number of equations to process: 3624
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [268]
% converse(composition(A,complement(converse(A)))) join complement(one) ->
% complement(one)
% Current number of equations to process: 3626
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [269]
% converse(complement(one)) join composition(converse(A),complement(A)) ->
% converse(complement(one))
% Current number of equations to process: 3631
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [270]
% converse(complement(composition(converse(A),complement(A)))) join complement(one)
% -> top
% Current number of equations to process: 3630
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [271] converse(A) join complement(converse(composition(A,sk1))) -> top
% Current number of equations to process: 3693
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced : [272] composition(A,sk1) join A -> A
% Current number of equations to process: 3697
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [273] converse(complement(composition(A,sk1))) join converse(A) -> top
% Current number of equations to process: 3705
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [274]
% composition(A,top) join composition(A,complement(B)) -> composition(A,top)
% Current number of equations to process: 3736
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [275]
% composition(A,complement(B)) join composition(A,B) -> composition(A,top)
% Current number of equations to process: 3745
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [276]
% converse(composition(composition(A,sk1),sk1)) join converse(A) -> converse(A)
% Current number of equations to process: 3743
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [277] composition(A,complement(sk1)) join A -> composition(A,top)
% Current number of equations to process: 3752
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [278] composition(A,sk1) join composition(A,top) -> composition(A,top)
% Current number of equations to process: 3756
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [279] composition(A,top) join composition(A,B) -> composition(A,top)
% Rule
% [274]
% composition(A,top) join composition(A,complement(B)) -> composition(A,top)
% collapsed.
% Rule [278] composition(A,sk1) join composition(A,top) -> composition(A,top)
% collapsed.
% Current number of equations to process: 3789
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [280] complement(complement(A join B) join complement(B)) -> B
% Current number of equations to process: 3912
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [281] complement(complement(complement(A) join B) join A) -> complement(A)
% Current number of equations to process: 3911
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [282]
% complement(sk1 join complement(one)) join complement(one) -> complement(sk1)
% Current number of equations to process: 3941
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [283]
% complement(one join complement(complement(sk1) join A)) -> complement(one)
% Current number of equations to process: 3963
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [284]
% complement(converse(A) join complement(converse(complement(A)))) ->
% complement(converse(A))
% Current number of equations to process: 3962
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [285]
% complement(converse(complement(A)) join complement(converse(A))) ->
% complement(converse(complement(A)))
% Current number of equations to process: 3961
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [286]
% complement(complement(complement(A join B) join B) join A) -> complement(A)
% Current number of equations to process: 4092
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [287]
% complement(one join complement(complement(sk1 join A) join A)) ->
% complement(one)
% Current number of equations to process: 4090
% Current number of ordered equations: 1
% Current number of rules: 212
% New rule produced :
% [288]
% complement(complement(one join complement(sk1 join A)) join A) ->
% complement(A)
% Current number of equations to process: 4090
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced : [289] complement(A join B) join B -> complement(A) join B
% Rule [27] one join complement(sk1 join A) join A -> top join one collapsed.
% Rule
% [60]
% complement(complement(A) join B) join B <->
% complement(complement(B) join A) join A collapsed.
% Rule [108] one join complement(sk1 join sk1 join A) join A -> top collapsed.
% Rule [149] complement(complement(A join A) join A) -> zero collapsed.
% Rule [157] complement(complement(A join A) join A join B) -> zero collapsed.
% Rule
% [176] complement(complement(one) join A) join complement(sk1) join A -> top
% collapsed.
% Rule [199] one join complement(converse(sk1) join A) join A -> top collapsed.
% Rule
% [282]
% complement(sk1 join complement(one)) join complement(one) -> complement(sk1)
% collapsed.
% Rule
% [286]
% complement(complement(complement(A join B) join B) join A) -> complement(A)
% collapsed.
% Rule
% [287]
% complement(one join complement(complement(sk1 join A) join A)) ->
% complement(one) collapsed.
% Current number of equations to process: 4201
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [290]
% complement(complement(converse(complement(converse(A)))) join A) ->
% complement(A)
% Current number of equations to process: 4221
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [291]
% complement(converse(complement(converse(A))) join complement(A)) ->
% complement(converse(complement(converse(A))))
% Current number of equations to process: 4219
% Current number of ordered equations: 1
% Current number of rules: 206
% New rule produced :
% [292]
% converse(complement(converse(complement(A join B)))) join complement(B) ->
% top
% Rule
% [187]
% converse(complement(converse(complement(A join A)))) join complement(A) ->
% top collapsed.
% Current number of equations to process: 4219
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [293]
% complement(composition(converse(sk1),A)) join complement(A) ->
% complement(composition(converse(sk1),A))
% Current number of equations to process: 4248
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [294] complement(A join B) join complement(A) -> complement(A)
% Rule [280] complement(complement(A join B) join complement(B)) -> B
% collapsed.
% Current number of equations to process: 4339
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [295]
% one join composition(A,complement(composition(converse(A),complement(sk1))))
% -> one
% Current number of equations to process: 4452
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [296]
% complement(converse(complement(converse(complement(A)))) join A) ->
% complement(converse(complement(converse(complement(A)))))
% Current number of equations to process: 4453
% Current number of ordered equations: 1
% Current number of rules: 209
% New rule produced :
% [297]
% complement(complement(converse(complement(converse(A))) join B) join A) ->
% complement(A)
% Current number of equations to process: 4453
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [298]
% composition(converse(sk1),complement(A join B)) join complement(A) ->
% complement(A)
% Rule
% [228]
% composition(converse(sk1),complement(A join A)) join complement(A) ->
% complement(A) collapsed.
% Current number of equations to process: 4451
% Current number of ordered equations: 1
% Current number of rules: 210
% New rule produced :
% [299]
% complement(composition(converse(sk1),complement(A))) join A ->
% complement(composition(converse(sk1),complement(A)))
% Current number of equations to process: 4451
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [300]
% one join complement(composition(A,complement(converse(A)))) ->
% complement(composition(A,complement(converse(A))))
% Current number of equations to process: 4450
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [301]
% one join complement(converse(composition(converse(zero),top))) ->
% complement(converse(composition(converse(zero),top)))
% Current number of equations to process: 4449
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [302]
% complement(composition(top,A)) join complement(composition(B,A)) ->
% complement(composition(B,A))
% Current number of equations to process: 4448
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [303]
% converse(composition(top,zero)) join converse(complement(one)) ->
% converse(complement(one))
% Current number of equations to process: 4606
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [304] converse(complement(converse(A) join converse(B))) join A join B -> top
% Current number of equations to process: 4612
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [305]
% composition(converse(complement(converse(B))),A) join composition(B,A) ->
% composition(top,A)
% Current number of equations to process: 4611
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [306]
% converse(complement(composition(A,converse(B)))) join composition(B,converse(A))
% -> top
% Current number of equations to process: 4610
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [307]
% converse(complement(composition(converse(A),B))) join composition(converse(B),A)
% -> top
% Current number of equations to process: 4609
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [308]
% converse(complement(converse(composition(converse(A),complement(A))))) join
% complement(one) -> top
% Current number of equations to process: 4608
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [309]
% converse(composition(A,top)) join composition(sk1,converse(A)) join complement(
% converse(
% composition(A,
% converse(B))))
% -> top
% Current number of equations to process: 4604
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced :
% [310]
% composition(composition(converse(sk1),A),B) join composition(A,B) ->
% composition(A,B)
% Current number of equations to process: 4600
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced :
% [311]
% one join complement(sk1 join composition(converse(sk1),A)) join A -> top
% Current number of equations to process: 4599
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced :
% [312]
% converse(composition(A,complement(converse(A)))) join converse(complement(one))
% -> converse(complement(one))
% Current number of equations to process: 4594
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [313]
% converse(complement(converse(composition(A,complement(converse(A)))))) join
% complement(one) -> top
% Current number of equations to process: 4593
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced :
% [314]
% converse(complement(one)) join converse(complement(composition(converse(A),
% complement(A)))) -> top
% Current number of equations to process: 4590
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced :
% [315]
% complement(composition(converse(A),complement(composition(A,complement(B))))) join B
% -> top
% Current number of equations to process: 4583
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced :
% [316]
% composition(A,converse(complement(B))) join composition(A,converse(B)) ->
% composition(A,top)
% Current number of equations to process: 4581
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced :
% [317]
% composition(A,converse(complement(converse(B)))) join composition(A,B) ->
% composition(A,top)
% Current number of equations to process: 4580
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced :
% [318]
% composition(A,composition(converse(sk1),B)) join composition(A,B) ->
% composition(A,B)
% Current number of equations to process: 4579
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced :
% [319]
% complement(converse(A) join complement(converse(complement(A)) join B)) ->
% complement(converse(A))
% Current number of equations to process: 4577
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [320]
% complement(complement(sk1 join A) join complement(one join A)) -> sk1 join A
% Current number of equations to process: 4576
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced :
% [321]
% complement(one join complement(composition(converse(A),complement(A)))) ->
% composition(converse(A),complement(A))
% Current number of equations to process: 4572
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced :
% [322]
% complement(converse(composition(A,sk1))) join complement(converse(A)) ->
% complement(converse(composition(A,sk1)))
% Current number of equations to process: 4571
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced :
% [323]
% complement(composition(A,complement(composition(converse(A),complement(B))))) join B
% -> top
% Current number of equations to process: 4570
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced :
% [324]
% composition(A,complement(converse(composition(converse(complement(B)),A)))) join B
% -> B
% Current number of equations to process: 4569
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [325]
% converse(complement(one)) join complement(converse(composition(converse(A),
% complement(A)))) -> top
% Current number of equations to process: 4568
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced :
% [326]
% converse(composition(converse(zero),top)) join converse(complement(one)) ->
% converse(complement(one))
% Current number of equations to process: 4612
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced :
% [327]
% complement(composition(converse(A),complement(composition(A,B)))) join
% complement(B) -> top
% Current number of equations to process: 4670
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced :
% [328] composition(converse(A),top) -> converse(composition(top,A))
% Rule
% [141]
% converse(composition(converse(zero),top)) join complement(one) ->
% complement(one) collapsed.
% Rule
% [232]
% complement(one) join complement(converse(composition(converse(zero),top))) ->
% top collapsed.
% Rule
% [233]
% converse(complement(one)) join composition(converse(zero),top) ->
% converse(complement(one)) collapsed.
% Rule
% [235]
% converse(complement(composition(converse(zero),top))) join complement(one) ->
% top collapsed.
% Rule [251] composition(A,complement(composition(converse(A),top))) -> zero
% collapsed.
% Rule
% [256] composition(converse(zero),top) join complement(one) -> complement(one)
% collapsed.
% Rule
% [257] complement(one) join complement(composition(converse(zero),top)) -> top
% collapsed.
% Rule
% [301]
% one join complement(converse(composition(converse(zero),top))) ->
% complement(converse(composition(converse(zero),top))) collapsed.
% Rule
% [326]
% converse(composition(converse(zero),top)) join converse(complement(one)) ->
% converse(complement(one)) collapsed.
% Current number of equations to process: 4787
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [329] complement(one) join complement(converse(composition(top,zero))) -> top
% Current number of equations to process: 4824
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced :
% [330]
% composition(A,converse(composition(B,top))) <->
% composition(composition(A,top),converse(B))
% Current number of equations to process: 4822
% Current number of ordered equations: 2
% Current number of rules: 233
% New rule produced :
% [331]
% composition(composition(A,converse(B)),top) ->
% composition(A,converse(composition(top,B)))
% Current number of equations to process: 4822
% Current number of ordered equations: 1
% Current number of rules: 234
% New rule produced :
% [332]
% composition(composition(A,top),converse(B)) <->
% composition(A,converse(composition(B,top)))
% Current number of equations to process: 4822
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced :
% [333]
% composition(converse(A),composition(top,B)) <->
% composition(converse(composition(top,A)),B)
% Current number of equations to process: 4820
% Current number of ordered equations: 2
% Current number of rules: 236
% New rule produced :
% [334]
% composition(top,composition(converse(A),B)) ->
% composition(converse(composition(A,top)),B)
% Current number of equations to process: 4820
% Current number of ordered equations: 1
% Current number of rules: 237
% New rule produced :
% [335]
% composition(converse(composition(top,A)),B) <->
% composition(converse(A),composition(top,B))
% Current number of equations to process: 4820
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced :
% [336]
% converse(complement(converse(composition(top,zero)))) join complement(one) ->
% top
% Current number of equations to process: 4814
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced :
% [337] composition(top,complement(composition(top,complement(A)))) join A -> A
% Current number of equations to process: 4813
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [338]
% composition(top,complement(composition(top,A))) join complement(A) ->
% complement(A)
% Current number of equations to process: 4812
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced :
% [339]
% converse(composition(composition(B,top),converse(A))) <->
% composition(composition(A,top),converse(B))
% Current number of equations to process: 4807
% Current number of ordered equations: 1
% Current number of rules: 242
% New rule produced :
% [340]
% composition(composition(A,top),converse(B)) <->
% converse(composition(composition(B,top),converse(A)))
% Current number of equations to process: 4807
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced :
% [341]
% converse(composition(B,converse(composition(A,top)))) <->
% composition(A,converse(composition(B,top)))
% Current number of equations to process: 4805
% Current number of ordered equations: 1
% Current number of rules: 244
% New rule produced :
% [342]
% composition(A,converse(composition(B,top))) <->
% converse(composition(B,converse(composition(A,top))))
% Current number of equations to process: 4805
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [343]
% converse(composition(converse(composition(top,B)),A)) <->
% composition(converse(composition(top,A)),B)
% Current number of equations to process: 4803
% Current number of ordered equations: 1
% Current number of rules: 246
% New rule produced :
% [344]
% composition(converse(composition(top,A)),B) <->
% converse(composition(converse(composition(top,B)),A))
% Current number of equations to process: 4803
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced :
% [345]
% converse(composition(converse(B),composition(top,A))) <->
% composition(converse(A),composition(top,B))
% Current number of equations to process: 4800
% Current number of ordered equations: 1
% Current number of rules: 248
% New rule produced :
% [346]
% composition(converse(A),composition(top,B)) <->
% converse(composition(converse(B),composition(top,A)))
% Current number of equations to process: 4800
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced : [347] composition(top,A) join complement(A) -> top
% Current number of equations to process: 4807
% Current number of ordered equations: 1
% Current number of rules: 250
% New rule produced : [348] composition(top,complement(A)) join A -> top
% Current number of equations to process: 4807
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced : [349] one join composition(top,complement(sk1)) -> top
% Current number of equations to process: 4820
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [350]
% converse(composition(converse(A),complement(sk1))) join A ->
% composition(top,A)
% Current number of equations to process: 4828
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced :
% [351] converse(complement(converse(A))) join composition(top,A) -> top
% Current number of equations to process: 4831
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [352]
% complement(one join complement(converse(complement(converse(sk1))))) ->
% complement(one)
% Current number of equations to process: 4933
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [353]
% composition(converse(complement(converse(sk1))),A) join A ->
% composition(top,A)
% Current number of equations to process: 4932
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [354]
% composition(A,converse(complement(converse(sk1)))) join A ->
% composition(A,top)
% Current number of equations to process: 4931
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced : [355] composition(top,top) join complement(A) -> top
% Current number of equations to process: 4938
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced : [356] sk1 join composition(top,top) -> top
% Current number of equations to process: 4954
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [357] converse(composition(complement(A),top)) join converse(A) -> top
% Current number of equations to process: 4958
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced : [358] composition(top,top) -> top
% Rule [355] composition(top,top) join complement(A) -> top collapsed.
% Rule [356] sk1 join composition(top,top) -> top collapsed.
% Current number of equations to process: 4966
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [359]
% one join composition(complement(converse(sk1)),sk1) ->
% one join composition(top,sk1)
% Current number of equations to process: 4963
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced :
% [360] converse(composition(complement(converse(A)),top)) join A -> top
% Current number of equations to process: 4968
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced :
% [361] one join converse(composition(complement(converse(sk1)),top)) -> top
% Current number of equations to process: 736
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced : [362] converse(complement(converse(zero))) -> top
% Rule [182] converse(complement(converse(zero))) join complement(A) -> top
% collapsed.
% Rule [184] sk1 join converse(complement(converse(zero))) -> top collapsed.
% Rule [241] one join converse(complement(converse(zero))) -> top collapsed.
% Current number of equations to process: 742
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced :
% [363] converse(complement(A)) join complement(converse(zero)) -> top
% Current number of equations to process: 740
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced :
% [364]
% converse(complement(one)) join composition(top,zero) ->
% converse(complement(one))
% Current number of equations to process: 739
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced :
% [365]
% converse(composition(sk1,converse(A))) join composition(A,top) ->
% composition(A,top)
% Current number of equations to process: 738
% Current number of ordered equations: 0
% Current number of rules: 263
% New rule produced :
% [366]
% complement(composition(top,complement(composition(top,A)))) join complement(A)
% -> top
% Current number of equations to process: 736
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced :
% [367]
% composition(top,composition(top,A)) join complement(composition(B,A)) -> top
% Current number of equations to process: 733
% Current number of ordered equations: 1
% Current number of rules: 265
% New rule produced :
% [368]
% composition(top,complement(composition(A,B))) join composition(top,B) -> top
% Current number of equations to process: 733
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced :
% [369]
% composition(top,composition(top,A)) join composition(B,A) ->
% composition(top,A)
% Current number of equations to process: 732
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [370]
% complement(converse(complement(converse(sk1))) join complement(one)) ->
% complement(converse(complement(converse(sk1))))
% Current number of equations to process: 731
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced :
% [371]
% composition(top,composition(complement(converse(sk1)),A)) join A ->
% composition(top,A)
% Current number of equations to process: 724
% Current number of ordered equations: 1
% Current number of rules: 269
% New rule produced :
% [372]
% composition(converse(composition(complement(sk1),top)),A) join A ->
% composition(top,A)
% Current number of equations to process: 724
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [373]
% one join complement(composition(top,zero)) ->
% complement(composition(top,zero))
% Current number of equations to process: 720
% Current number of ordered equations: 0
% Current number of rules: 271
% Rule [264]
% converse(composition(A,top)) join composition(B,converse(A)) <->
% converse(composition(A,top)) join composition(sk1,converse(A)) is composed into
% [264]
% converse(composition(A,top)) join composition(B,converse(A)) ->
% converse(composition(A,top))
% New rule produced :
% [374]
% converse(composition(A,top)) join composition(sk1,converse(A)) ->
% converse(composition(A,top))
% Rule
% [265]
% converse(composition(A,top)) join composition(sk1,converse(A)) <->
% converse(composition(A,top)) join composition(B,converse(A)) collapsed.
% Rule
% [309]
% converse(composition(A,top)) join composition(sk1,converse(A)) join complement(
% converse(
% composition(A,
% converse(B))))
% -> top collapsed.
% Current number of equations to process: 720
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [375]
% converse(composition(converse(complement(sk1)),A)) join converse(A) ->
% converse(composition(top,A))
% Current number of equations to process: 719
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced :
% [376]
% complement(one join complement(converse(complement(converse(sk1))) join A))
% -> complement(one)
% Current number of equations to process: 718
% Current number of ordered equations: 0
% Current number of rules: 272
% New rule produced :
% [377]
% converse(composition(complement(converse(sk1)),A)) join converse(A) ->
% converse(composition(top,A))
% Current number of equations to process: 717
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [378]
% converse(composition(top,A)) join complement(converse(composition(B,A))) ->
% top
% Current number of equations to process: 761
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced :
% [379]
% converse(composition(A,top)) join converse(complement(composition(A,B))) ->
% top
% Current number of equations to process: 760
% Current number of ordered equations: 0
% Current number of rules: 275
% New rule produced :
% [380]
% converse(complement(composition(converse(A),B))) join composition(top,A) ->
% top
% Current number of equations to process: 759
% Current number of ordered equations: 0
% Current number of rules: 276
% New rule produced :
% [381] converse(complement(one)) join complement(one) -> complement(one)
% Current number of equations to process: 825
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced : [382] one join converse(composition(sk1,sk1)) -> one
% Current number of equations to process: 832
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced : [383] composition(A,converse(sk1)) join A -> A
% Current number of equations to process: 834
% Current number of ordered equations: 0
% Current number of rules: 279
% New rule produced :
% [384]
% complement(one) join complement(converse(sk1)) -> complement(converse(sk1))
% Current number of equations to process: 849
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced : [385] one join composition(sk1,sk1) -> one
% Current number of equations to process: 852
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced : [386] one join composition(sk1,converse(sk1)) -> one
% Current number of equations to process: 906
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced : [387] composition(sk1,composition(sk1,A)) join A -> A
% Current number of equations to process: 905
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced :
% [388] composition(sk1,composition(converse(sk1),A)) join A -> A
% Current number of equations to process: 902
% Current number of ordered equations: 1
% Current number of rules: 284
% New rule produced :
% [389] composition(converse(sk1),composition(sk1,A)) join A -> A
% Current number of equations to process: 902
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced :
% [390]
% complement(one join complement(converse(complement(sk1)))) -> complement(one)
% Current number of equations to process: 920
% Current number of ordered equations: 0
% Current number of rules: 286
% New rule produced :
% [391] one join converse(composition(complement(sk1),top)) -> top
% Current number of equations to process: 921
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [392] composition(A,converse(complement(sk1))) join A -> composition(A,top)
% Current number of equations to process: 920
% Current number of ordered equations: 0
% Current number of rules: 288
% New rule produced :
% [393] one join composition(top,complement(converse(sk1))) -> top
% Current number of equations to process: 932
% Current number of ordered equations: 0
% Current number of rules: 289
% New rule produced :
% [394] composition(A,complement(converse(sk1))) join A -> composition(A,top)
% Current number of equations to process: 931
% Current number of ordered equations: 0
% Current number of rules: 290
% New rule produced :
% [395] converse(composition(A,converse(sk1))) join converse(A) -> converse(A)
% Current number of equations to process: 930
% Current number of ordered equations: 0
% Current number of rules: 291
% New rule produced :
% [396]
% complement(composition(sk1,A)) join complement(A) ->
% complement(composition(sk1,A))
% Current number of equations to process: 929
% Current number of ordered equations: 0
% Current number of rules: 292
% New rule produced :
% [397]
% complement(converse(complement(sk1)) join complement(one)) ->
% complement(converse(complement(sk1)))
% Current number of equations to process: 928
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced :
% [398] converse(complement(composition(sk1,A))) join converse(A) -> top
% Current number of equations to process: 929
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced : [399] one join complement(composition(sk1,sk1)) -> top
% Current number of equations to process: 930
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced :
% [400] one join complement(composition(sk1,converse(sk1))) -> top
% Current number of equations to process: 970
% Current number of ordered equations: 0
% Current number of rules: 296
% New rule produced :
% [401] composition(top,complement(composition(sk1,A))) join A -> top
% Current number of equations to process: 969
% Current number of ordered equations: 0
% Current number of rules: 297
% New rule produced :
% [402] complement(composition(sk1,composition(sk1,A))) join A -> top
% Current number of equations to process: 968
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [403]
% complement(one join A) join complement(converse(sk1)) ->
% complement(converse(sk1))
% Current number of equations to process: 966
% Current number of ordered equations: 0
% Current number of rules: 299
% New rule produced :
% [404]
% complement(composition(sk1,complement(A))) join A ->
% complement(composition(sk1,complement(A)))
% Current number of equations to process: 965
% Current number of ordered equations: 0
% Current number of rules: 300
% New rule produced :
% [405]
% converse(A) join complement(converse(composition(A,converse(sk1)))) -> top
% Current number of equations to process: 961
% Current number of ordered equations: 0
% Current number of rules: 301
% New rule produced :
% [406] complement(composition(sk1,composition(converse(sk1),A))) join A -> top
% Current number of equations to process: 960
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced :
% [407]
% one join composition(complement(sk1),sk1) -> one join composition(top,sk1)
% Current number of equations to process: 986
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced :
% [408] converse(composition(A,top)) join converse(complement(A)) -> top
% Current number of equations to process: 985
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced :
% [409]
% composition(top,composition(complement(sk1),A)) join A -> composition(top,A)
% Current number of equations to process: 1070
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced :
% [410] converse(A) join complement(converse(composition(sk1,A))) -> top
% Current number of equations to process: 1075
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced : [411] converse(composition(sk1,converse(A))) join A -> A
% Current number of equations to process: 1076
% Current number of ordered equations: 0
% Current number of rules: 307
% New rule produced :
% [412]
% composition(sk1,complement(A join B)) join complement(B) -> complement(B)
% Current number of equations to process: 1116
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [413]
% complement(one join complement(converse(complement(sk1)) join A)) ->
% complement(one)
% Current number of equations to process: 1115
% Current number of ordered equations: 0
% Current number of rules: 309
% New rule produced :
% [414]
% complement(one join complement(complement(converse(sk1)) join A)) ->
% complement(one)
% Current number of equations to process: 1113
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced :
% [415]
% converse(composition(complement(sk1),A)) join converse(A) ->
% converse(composition(top,A))
% Current number of equations to process: 1111
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced :
% [416]
% one join composition(complement(sk1),converse(sk1)) ->
% one join converse(composition(sk1,top))
% Current number of equations to process: 1110
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [417]
% converse(composition(sk1,composition(A,sk1))) join converse(A) -> converse(A)
% Current number of equations to process: 1108
% Current number of ordered equations: 1
% Current number of rules: 313
% New rule produced :
% [418]
% converse(composition(composition(sk1,A),sk1)) join converse(A) -> converse(A)
% Current number of equations to process: 1108
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [419]
% converse(composition(sk1,composition(sk1,A))) join converse(A) -> converse(A)
% Current number of equations to process: 1107
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced :
% [420] one join converse(complement(converse(composition(sk1,sk1)))) -> top
% Current number of equations to process: 1110
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced :
% [421]
% converse(complement(composition(A,converse(sk1)))) join converse(A) -> top
% Current number of equations to process: 1120
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced :
% [422]
% one join composition(complement(one),sk1) -> one join composition(top,sk1)
% Current number of equations to process: 1178
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced :
% [423] composition(top,sk1) join complement(one) -> sk1 join complement(one)
% Current number of equations to process: 1268
% Current number of ordered equations: 0
% Current number of rules: 319
% New rule produced :
% [424]
% composition(top,composition(complement(one),A)) join A -> composition(top,A)
% Current number of equations to process: 1278
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [425]
% converse(composition(complement(one),A)) join converse(A) ->
% converse(composition(top,A))
% Current number of equations to process: 1277
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced :
% [426]
% one join composition(complement(one),converse(sk1)) ->
% one join converse(composition(sk1,top))
% Current number of equations to process: 1276
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced :
% [427] one join converse(complement(one join A)) join converse(A) -> top
% Current number of equations to process: 1275
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced :
% [428] one join converse(complement(sk1 join A)) join converse(A) -> top
% Current number of equations to process: 1274
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [429]
% composition(composition(sk1,A),B) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 1272
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced :
% [430]
% composition(A,composition(sk1,B)) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 1271
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [431]
% composition(A,B) join complement(composition(composition(sk1,A),B)) -> top
% Current number of equations to process: 1268
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced :
% [432]
% complement(composition(sk1,complement(A join B))) join complement(B) -> top
% Current number of equations to process: 1267
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [433]
% converse(complement(converse(composition(sk1,composition(sk1,A))))) join A ->
% top
% Current number of equations to process: 1260
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [434] one join converse(complement(sk1 join converse(sk1))) -> top
% Current number of equations to process: 1262
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [435] one join composition(top,complement(sk1 join converse(sk1))) -> top
% Current number of equations to process: 1281
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced :
% [436]
% composition(complement(sk1 join converse(sk1)),A) join A ->
% composition(top,A)
% Current number of equations to process: 1280
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced :
% [437]
% composition(A,complement(sk1 join converse(sk1))) join A ->
% composition(A,top)
% Current number of equations to process: 1279
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [438]
% one join composition(complement(converse(sk1)),converse(sk1)) ->
% one join converse(composition(sk1,top))
% Current number of equations to process: 1279
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced :
% [439]
% complement(A join B) join complement(composition(sk1,A)) ->
% complement(composition(sk1,A))
% Current number of equations to process: 1277
% Current number of ordered equations: 0
% Current number of rules: 335
% New rule produced :
% [440]
% complement(converse(complement(sk1)) join complement(one join A)) ->
% complement(converse(complement(sk1)))
% Current number of equations to process: 1274
% Current number of ordered equations: 1
% Current number of rules: 336
% New rule produced :
% [441]
% complement(one join complement(converse(complement(sk1))) join A) ->
% complement(one join A)
% Current number of equations to process: 1274
% Current number of ordered equations: 0
% Current number of rules: 337
% New rule produced :
% [442]
% complement(complement(complement(composition(sk1,A)) join B) join A) ->
% complement(A)
% Current number of equations to process: 1273
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced :
% [443]
% converse(composition(A,converse(complement(sk1)))) join converse(A) ->
% converse(composition(A,top))
% Current number of equations to process: 1272
% Current number of ordered equations: 0
% Current number of rules: 339
% New rule produced :
% [444]
% converse(composition(A,sk1)) join converse(composition(A,top)) ->
% converse(composition(A,top))
% Current number of equations to process: 1271
% Current number of ordered equations: 0
% Current number of rules: 340
% New rule produced :
% [445]
% converse(composition(sk1,A)) join converse(composition(A,top)) ->
% converse(composition(A,top))
% Current number of equations to process: 1270
% Current number of ordered equations: 0
% Current number of rules: 341
% New rule produced :
% [446]
% complement(complement(converse(complement(converse(composition(sk1,A))))) join A)
% -> complement(A)
% Current number of equations to process: 1269
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced :
% [447]
% converse(composition(A,converse(complement(one)))) join converse(A) ->
% converse(composition(A,top))
% Current number of equations to process: 1268
% Current number of ordered equations: 0
% Current number of rules: 343
% New rule produced :
% [448]
% complement(complement(sk1 join converse(sk1)) join complement(one)) ->
% sk1 join converse(sk1)
% Current number of equations to process: 1264
% Current number of ordered equations: 0
% Current number of rules: 344
% New rule produced :
% [449] one join complement(composition(converse(sk1),sk1)) -> top
% Current number of equations to process: 2920
% Current number of ordered equations: 0
% Current number of rules: 345
% New rule produced :
% [450] composition(composition(converse(sk1),sk1),A) join A -> A
% Current number of equations to process: 2922
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced :
% [451] composition(A,composition(converse(sk1),sk1)) join A -> A
% Current number of equations to process: 2928
% Current number of ordered equations: 0
% Current number of rules: 347
% New rule produced :
% [452] one join composition(sk1,composition(converse(sk1),sk1)) -> one
% Current number of equations to process: 2955
% Current number of ordered equations: 0
% Current number of rules: 348
% New rule produced :
% [453] complement(converse(composition(converse(A),sk1))) join A -> top
% Current number of equations to process: 2956
% Current number of ordered equations: 0
% Current number of rules: 349
% New rule produced :
% [454]
% one join complement(composition(sk1,composition(converse(sk1),sk1))) -> top
% Current number of equations to process: 2954
% Current number of ordered equations: 0
% Current number of rules: 350
% New rule produced :
% [455]
% converse(complement(composition(converse(sk1),A))) join converse(A) -> top
% Current number of equations to process: 2999
% Current number of ordered equations: 0
% Current number of rules: 351
% New rule produced :
% [456] composition(top,complement(composition(converse(sk1),A))) join A -> top
% Current number of equations to process: 2998
% Current number of ordered equations: 0
% Current number of rules: 352
% New rule produced :
% [457] complement(composition(converse(sk1),composition(sk1,A))) join A -> top
% Current number of equations to process: 2997
% Current number of ordered equations: 0
% Current number of rules: 353
% New rule produced :
% [458]
% converse(A) join complement(converse(composition(converse(sk1),A))) -> top
% Current number of equations to process: 3001
% Current number of ordered equations: 0
% Current number of rules: 354
% New rule produced :
% [459]
% complement(one) join complement(composition(converse(sk1),sk1)) ->
% complement(composition(converse(sk1),sk1))
% Current number of equations to process: 3052
% Current number of ordered equations: 0
% Current number of rules: 355
% New rule produced :
% [460]
% converse(composition(converse(sk1),composition(A,sk1))) join converse(A) ->
% converse(A)
% Current number of equations to process: 3054
% Current number of ordered equations: 0
% Current number of rules: 356
% New rule produced :
% [461]
% converse(composition(sk1,composition(converse(sk1),A))) join converse(A) ->
% converse(A)
% Current number of equations to process: 3052
% Current number of ordered equations: 1
% Current number of rules: 357
% New rule produced :
% [462]
% converse(composition(converse(sk1),composition(sk1,A))) join converse(A) ->
% converse(A)
% Current number of equations to process: 3052
% Current number of ordered equations: 0
% Current number of rules: 358
% New rule produced :
% [463]
% converse(complement(converse(composition(A,B)))) join composition(A,top) ->
% top
% Current number of equations to process: 3089
% Current number of ordered equations: 0
% Current number of rules: 359
% New rule produced :
% [464]
% converse(complement(composition(A,converse(B)))) join composition(B,top) ->
% top
% Current number of equations to process: 3088
% Current number of ordered equations: 0
% Current number of rules: 360
% New rule produced :
% [465] converse(composition(top,A)) join converse(complement(A)) -> top
% Current number of equations to process: 3148
% Current number of ordered equations: 0
% Current number of rules: 361
% New rule produced :
% [466]
% converse(composition(A,top)) join complement(converse(composition(A,B))) ->
% top
% Current number of equations to process: 3329
% Current number of ordered equations: 0
% Current number of rules: 362
% New rule produced :
% [467] converse(composition(A,top)) join complement(converse(A)) -> top
% Current number of equations to process: 3403
% Current number of ordered equations: 0
% Current number of rules: 363
% New rule produced :
% [468] converse(complement(composition(converse(A),sk1))) join A -> top
% Current number of equations to process: 3484
% Current number of ordered equations: 0
% Current number of rules: 364
% New rule produced :
% [469] complement(composition(top,A)) join complement(A) -> complement(A)
% Current number of equations to process: 3563
% Current number of ordered equations: 0
% Current number of rules: 365
% New rule produced :
% [470] composition(top,composition(top,A)) join A -> composition(top,A)
% Current number of equations to process: 3574
% Current number of ordered equations: 0
% Current number of rules: 366
% New rule produced :
% [471]
% converse(composition(top,A)) join converse(A) -> converse(composition(top,A))
% Current number of equations to process: 3585
% Current number of ordered equations: 0
% Current number of rules: 367
% New rule produced :
% [472]
% converse(composition(A,top)) join converse(A) -> converse(composition(A,top))
% Current number of equations to process: 3584
% Current number of ordered equations: 0
% Current number of rules: 368
% New rule produced :
% [473] converse(composition(sk1,composition(converse(A),sk1))) join A -> A
% Current number of equations to process: 3585
% Current number of ordered equations: 0
% Current number of rules: 369
% New rule produced : [474] complement(composition(converse(sk1),zero)) -> top
% Current number of equations to process: 3589
% Current number of ordered equations: 0
% Current number of rules: 370
% New rule produced : [475] composition(converse(sk1),zero) join A -> A
% Rule
% [227] composition(converse(sk1),zero) join complement(A) -> complement(A)
% collapsed.
% Rule [229] sk1 join composition(converse(sk1),zero) -> sk1 collapsed.
% Rule [242] one join composition(converse(sk1),zero) -> one collapsed.
% Current number of equations to process: 3596
% Current number of ordered equations: 0
% Current number of rules: 368
% New rule produced :
% [476]
% complement(composition(top,A) join B) join complement(A) -> complement(A)
% Current number of equations to process: 3593
% Current number of ordered equations: 0
% Current number of rules: 369
% New rule produced :
% [477]
% converse(complement(converse(composition(converse(sk1),zero)))) join
% complement(A) -> top
% Current number of equations to process: 3591
% Current number of ordered equations: 0
% Current number of rules: 370
% New rule produced :
% [478]
% converse(composition(converse(sk1),zero)) join converse(complement(A)) ->
% converse(complement(A))
% Current number of equations to process: 3589
% Current number of ordered equations: 0
% Current number of rules: 371
% New rule produced :
% [479] complement(one) join complement(composition(A,zero)) -> top
% Rule [236] complement(one) join complement(composition(top,zero)) -> top
% collapsed.
% Current number of equations to process: 3737
% Current number of ordered equations: 0
% Current number of rules: 371
% New rule produced :
% [480] composition(A,zero) join complement(one) -> complement(one)
% Rule [234] composition(top,zero) join complement(one) -> complement(one)
% collapsed.
% Current number of equations to process: 3738
% Current number of ordered equations: 0
% Current number of rules: 371
% New rule produced :
% [481]
% composition(complement(converse(sk1)),zero) join complement(A) ->
% composition(top,zero) join complement(A)
% Current number of equations to process: 3734
% Current number of ordered equations: 0
% Current number of rules: 372
% New rule produced :
% [482]
% complement(one) join complement(converse(composition(A,complement(converse(A)))))
% -> top
% Current number of equations to process: 3751
% Current number of ordered equations: 0
% Current number of rules: 373
% New rule produced :
% [483] complement(one) join complement(converse(complement(one))) -> top
% Current number of equations to process: 3815
% Current number of ordered equations: 0
% Current number of rules: 374
% New rule produced : [484] one join complement(converse(zero)) -> top
% Current number of equations to process: 3825
% Current number of ordered equations: 0
% Current number of rules: 375
% New rule produced : [485] composition(converse(zero),A) join A -> A
% Current number of equations to process: 3826
% Current number of ordered equations: 0
% Current number of rules: 376
% New rule produced : [486] one join converse(composition(zero,sk1)) -> one
% Current number of equations to process: 3831
% Current number of ordered equations: 0
% Current number of rules: 377
% New rule produced : [487] composition(A,converse(zero)) join A -> A
% Current number of equations to process: 3833
% Current number of ordered equations: 0
% Current number of rules: 378
% New rule produced :
% [488]
% complement(one) join complement(converse(zero)) -> complement(converse(zero))
% Current number of equations to process: 3848
% Current number of ordered equations: 0
% Current number of rules: 379
% New rule produced : [489] one join converse(composition(sk1,zero)) -> one
% Current number of equations to process: 3855
% Current number of ordered equations: 0
% Current number of rules: 380
% New rule produced :
% [490] one join converse(composition(converse(sk1),zero)) -> one
% Current number of equations to process: 3856
% Current number of ordered equations: 0
% Current number of rules: 381
% New rule produced :
% [491] converse(complement(converse(composition(zero,A)))) join A -> top
% Current number of equations to process: 3857
% Current number of ordered equations: 0
% Current number of rules: 382
% New rule produced : [492] complement(composition(zero,A)) join A -> top
% Current number of equations to process: 3858
% Current number of ordered equations: 0
% Current number of rules: 383
% New rule produced : [493] one join composition(zero,sk1) -> one
% Current number of equations to process: 3859
% Current number of ordered equations: 0
% Current number of rules: 384
% New rule produced :
% [494] converse(composition(zero,A)) join converse(A) -> converse(A)
% Current number of equations to process: 3869
% Current number of ordered equations: 0
% Current number of rules: 385
% New rule produced : [495] one join composition(zero,converse(sk1)) -> one
% Current number of equations to process: 3921
% Current number of ordered equations: 0
% Current number of rules: 386
% New rule produced : [496] composition(zero,composition(sk1,A)) join A -> A
% Current number of equations to process: 3923
% Current number of ordered equations: 1
% Current number of rules: 387
% New rule produced : [497] composition(sk1,composition(zero,A)) join A -> A
% Current number of equations to process: 3923
% Current number of ordered equations: 0
% Current number of rules: 388
% New rule produced : [498] one join composition(zero,converse(zero)) -> one
% Current number of equations to process: 3934
% Current number of ordered equations: 0
% Current number of rules: 389
% New rule produced : [499] composition(zero,composition(zero,A)) join A -> A
% Current number of equations to process: 3933
% Current number of ordered equations: 0
% Current number of rules: 390
% New rule produced :
% [500] composition(zero,composition(converse(sk1),A)) join A -> A
% Current number of equations to process: 3929
% Current number of ordered equations: 1
% Current number of rules: 391
% New rule produced :
% [501] composition(converse(sk1),composition(zero,A)) join A -> A
% Current number of equations to process: 3929
% Current number of ordered equations: 0
% Current number of rules: 392
% New rule produced :
% [502] complement(composition(sk1,composition(zero,A))) join A -> top
% Current number of equations to process: 3928
% Current number of ordered equations: 0
% Current number of rules: 393
% New rule produced :
% [503] one join composition(zero,composition(converse(sk1),sk1)) -> one
% Current number of equations to process: 3927
% Current number of ordered equations: 0
% Current number of rules: 394
% New rule produced : [504] complement(converse(complement(one))) -> one
% Rule [483] complement(one) join complement(converse(complement(one))) -> top
% collapsed.
% Current number of equations to process: 3948
% Current number of ordered equations: 0
% Current number of rules: 394
% New rule produced :
% [505] one join converse(composition(complement(one),top)) -> top
% Current number of equations to process: 3947
% Current number of ordered equations: 0
% Current number of rules: 395
% New rule produced :
% [506] composition(converse(complement(one)),A) join A -> composition(top,A)
% Current number of equations to process: 3946
% Current number of ordered equations: 0
% Current number of rules: 396
% New rule produced :
% [507] composition(A,converse(complement(one))) join A -> composition(A,top)
% Current number of equations to process: 3945
% Current number of ordered equations: 0
% Current number of rules: 397
% New rule produced :
% [508]
% complement(converse(complement(one)) join A) ->
% complement(complement(one) join A)
% Current number of equations to process: 3944
% Current number of ordered equations: 0
% Current number of rules: 398
% New rule produced :
% [509] converse(composition(A,converse(zero))) join converse(A) -> converse(A)
% Current number of equations to process: 3943
% Current number of ordered equations: 0
% Current number of rules: 399
% New rule produced :
% [510]
% complement(composition(zero,A)) join complement(A) ->
% complement(composition(zero,A))
% Current number of equations to process: 3942
% Current number of ordered equations: 0
% Current number of rules: 400
% New rule produced :
% [511]
% complement(one join A) join complement(converse(zero)) ->
% complement(converse(zero))
% Current number of equations to process: 3940
% Current number of ordered equations: 0
% Current number of rules: 401
% New rule produced :
% [512]
% complement(composition(zero,complement(A))) join A ->
% complement(composition(zero,complement(A)))
% Current number of equations to process: 3938
% Current number of ordered equations: 0
% Current number of rules: 402
% New rule produced :
% [513]
% complement(composition(converse(sk1),composition(zero,A))) join A -> top
% Current number of equations to process: 3936
% Current number of ordered equations: 0
% Current number of rules: 403
% New rule produced : [514] composition(converse(sk1),zero) -> zero
% Rule [474] complement(composition(converse(sk1),zero)) -> top collapsed.
% Rule [475] composition(converse(sk1),zero) join A -> A collapsed.
% Rule
% [477]
% converse(complement(converse(composition(converse(sk1),zero)))) join
% complement(A) -> top collapsed.
% Rule
% [478]
% converse(composition(converse(sk1),zero)) join converse(complement(A)) ->
% converse(complement(A)) collapsed.
% Rule [490] one join converse(composition(converse(sk1),zero)) -> one
% collapsed.
% Current number of equations to process: 3935
% Current number of ordered equations: 0
% Current number of rules: 399
% New rule produced :
% [515] composition(complement(converse(sk1)),zero) -> composition(top,zero)
% Rule
% [481]
% composition(complement(converse(sk1)),zero) join complement(A) ->
% composition(top,zero) join complement(A) collapsed.
% Current number of equations to process: 3937
% Current number of ordered equations: 0
% Current number of rules: 399
% New rule produced : [516] composition(sk1,zero) -> zero
% Rule [489] one join converse(composition(sk1,zero)) -> one collapsed.
% Current number of equations to process: 3938
% Current number of ordered equations: 0
% Current number of rules: 399
% New rule produced :
% [517] composition(complement(sk1),zero) -> composition(top,zero)
% Current number of equations to process: 3938
% Current number of ordered equations: 0
% Current number of rules: 400
% New rule produced :
% [518] composition(complement(one),zero) -> composition(top,zero)
% Current number of equations to process: 3939
% Current number of ordered equations: 0
% Current number of rules: 401
% New rule produced : [519] composition(zero,zero) -> zero
% Current number of equations to process: 3940
% Current number of ordered equations: 0
% Current number of rules: 402
% New rule produced :
% [520] composition(zero,B) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 3938
% Current number of ordered equations: 0
% Current number of rules: 403
% New rule produced :
% [521] composition(A,zero) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 3937
% Current number of ordered equations: 0
% Current number of rules: 404
% New rule produced : [522] one join complement(complement(sk1) join A) -> one
% Rule
% [283]
% complement(one join complement(complement(sk1) join A)) -> complement(one)
% collapsed.
% Current number of equations to process: 3965
% Current number of ordered equations: 0
% Current number of rules: 404
% New rule produced :
% [523]
% converse(complement(sk1)) join converse(complement(one)) ->
% converse(complement(sk1))
% Current number of equations to process: 3966
% Current number of ordered equations: 0
% Current number of rules: 405
% New rule produced :
% [524]
% composition(sk1,complement(one)) join complement(sk1) -> complement(sk1)
% Current number of equations to process: 3985
% Current number of ordered equations: 0
% Current number of rules: 406
% New rule produced :
% [525]
% composition(zero,complement(one)) join complement(sk1) -> complement(sk1)
% Current number of equations to process: 3994
% Current number of ordered equations: 0
% Current number of rules: 407
% New rule produced :
% [526]
% complement(sk1) join complement(composition(sk1,complement(one))) -> top
% Current number of equations to process: 3993
% Current number of ordered equations: 0
% Current number of rules: 408
% New rule produced :
% [527]
% composition(converse(A),complement(A)) join complement(sk1) ->
% complement(sk1)
% Current number of equations to process: 3992
% Current number of ordered equations: 0
% Current number of rules: 409
% New rule produced :
% [528]
% composition(converse(sk1),complement(one)) join complement(sk1) ->
% complement(sk1)
% Current number of equations to process: 3991
% Current number of ordered equations: 0
% Current number of rules: 410
% New rule produced :
% [529]
% composition(A,complement(converse(A))) join complement(sk1) ->
% complement(sk1)
% Current number of equations to process: 3990
% Current number of ordered equations: 0
% Current number of rules: 411
% New rule produced :
% [530]
% composition(top,complement(sk1)) join complement(one) ->
% composition(top,complement(sk1))
% Current number of equations to process: 3989
% Current number of ordered equations: 0
% Current number of rules: 412
% New rule produced :
% [531] composition(top,complement(sk1)) <-> composition(complement(sk1),top)
% Current number of equations to process: 3988
% Current number of ordered equations: 1
% Current number of rules: 413
% New rule produced :
% [532] composition(complement(sk1),top) <-> composition(top,complement(sk1))
% Current number of equations to process: 3988
% Current number of ordered equations: 0
% Current number of rules: 414
% New rule produced :
% [533]
% complement(sk1) join complement(composition(converse(A),complement(A))) ->
% top
% Current number of equations to process: 3985
% Current number of ordered equations: 0
% Current number of rules: 415
% New rule produced :
% [534]
% complement(sk1) join complement(composition(converse(sk1),complement(one)))
% -> top
% Current number of equations to process: 3984
% Current number of ordered equations: 0
% Current number of rules: 416
% New rule produced :
% [535]
% complement(sk1) join complement(composition(A,complement(converse(A)))) ->
% top
% Current number of equations to process: 3983
% Current number of ordered equations: 0
% Current number of rules: 417
% New rule produced :
% [536]
% converse(composition(converse(B),A)) <->
% converse(zero) join composition(converse(A),B)
% Current number of equations to process: 4025
% Current number of ordered equations: 1
% Current number of rules: 418
% New rule produced :
% [537]
% converse(zero) join composition(converse(A),B) <->
% converse(composition(converse(B),A))
% Current number of equations to process: 4025
% Current number of ordered equations: 0
% Current number of rules: 419
% New rule produced : [538] converse(A) join complement(converse(zero)) -> top
% Rule [363] converse(complement(A)) join complement(converse(zero)) -> top
% collapsed.
% Current number of equations to process: 4026
% Current number of ordered equations: 0
% Current number of rules: 419
% Rule [536]
% converse(composition(converse(B),A)) <->
% converse(zero) join composition(converse(A),B) is composed into
% [536] converse(composition(converse(B),A)) <-> composition(converse(A),B)
% New rule produced : [539] converse(zero) join A -> A
% Rule [238] one join converse(zero) -> one collapsed.
% Rule [253] converse(zero) join converse(A) -> converse(A) collapsed.
% Rule
% [537]
% converse(zero) join composition(converse(A),B) <->
% converse(composition(converse(B),A)) collapsed.
% Current number of equations to process: 4026
% Current number of ordered equations: 0
% Current number of rules: 417
% New rule produced :
% [540]
% composition(zero,complement(A join B)) join complement(B) -> complement(B)
% Current number of equations to process: 4079
% Current number of ordered equations: 0
% Current number of rules: 418
% New rule produced :
% [541]
% converse(composition(converse(A),complement(A))) join complement(sk1) ->
% complement(sk1)
% Current number of equations to process: 4077
% Current number of ordered equations: 0
% Current number of rules: 419
% New rule produced :
% [542]
% composition(sk1,complement(one join A)) join complement(sk1) ->
% complement(sk1)
% Current number of equations to process: 4076
% Current number of ordered equations: 0
% Current number of rules: 420
% New rule produced :
% [543]
% composition(zero,complement(one join A)) join complement(sk1) ->
% complement(sk1)
% Current number of equations to process: 4075
% Current number of ordered equations: 0
% Current number of rules: 421
% New rule produced :
% [544]
% composition(composition(zero,A),B) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 4071
% Current number of ordered equations: 0
% Current number of rules: 422
% New rule produced :
% [545]
% composition(A,composition(zero,B)) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 4070
% Current number of ordered equations: 0
% Current number of rules: 423
% New rule produced :
% [546]
% converse(complement(converse(composition(sk1,composition(zero,A))))) join A
% -> top
% Current number of equations to process: 4066
% Current number of ordered equations: 0
% Current number of rules: 424
% New rule produced :
% [547]
% converse(complement(converse(composition(sk1,complement(one))))) join
% complement(sk1) -> top
% Current number of equations to process: 4062
% Current number of ordered equations: 0
% Current number of rules: 425
% New rule produced :
% [548]
% complement(sk1) join complement(converse(composition(converse(A),complement(A))))
% -> top
% Current number of equations to process: 4061
% Current number of ordered equations: 0
% Current number of rules: 426
% New rule produced :
% [549]
% composition(composition(A,B),complement(converse(composition(top,B)))) ->
% composition(A,zero)
% Current number of equations to process: 4060
% Current number of ordered equations: 0
% Current number of rules: 427
% New rule produced :
% [550]
% composition(B,composition(complement(converse(composition(top,B))),A)) ->
% composition(zero,A)
% Current number of equations to process: 4059
% Current number of ordered equations: 0
% Current number of rules: 428
% New rule produced :
% [551]
% converse(complement(converse(complement(one join A)))) join complement(sk1)
% -> top
% Current number of equations to process: 4058
% Current number of ordered equations: 0
% Current number of rules: 429
% New rule produced :
% [552]
% converse(complement(one join A)) join converse(complement(sk1)) ->
% converse(complement(sk1))
% Current number of equations to process: 4057
% Current number of ordered equations: 0
% Current number of rules: 430
% New rule produced :
% [553]
% complement(complement(one) join A) join complement(sk1) ->
% complement(sk1) join complement(A)
% Current number of equations to process: 4056
% Current number of ordered equations: 0
% Current number of rules: 431
% New rule produced :
% [554]
% complement(sk1) join complement(composition(sk1,complement(one join A))) ->
% top
% Current number of equations to process: 4055
% Current number of ordered equations: 0
% Current number of rules: 432
% New rule produced :
% [555]
% complement(A join B) join complement(composition(zero,A)) ->
% complement(composition(zero,A))
% Current number of equations to process: 4063
% Current number of ordered equations: 0
% Current number of rules: 433
% New rule produced :
% [556]
% composition(complement(sk1),A) join composition(complement(one),A) ->
% composition(complement(sk1),A)
% Current number of equations to process: 4059
% Current number of ordered equations: 0
% Current number of rules: 434
% New rule produced :
% [557]
% composition(A,complement(sk1)) join composition(A,complement(one)) ->
% composition(A,complement(sk1))
% Current number of equations to process: 4058
% Current number of ordered equations: 0
% Current number of rules: 435
% New rule produced :
% [558]
% composition(top,complement(converse(composition(top,complement(sk1))))) ->
% complement(converse(composition(top,complement(sk1))))
% Current number of equations to process: 4055
% Current number of ordered equations: 0
% Current number of rules: 436
% New rule produced :
% [559]
% composition(top,complement(converse(composition(top,complement(one))))) ->
% complement(converse(composition(top,complement(one))))
% Current number of equations to process: 4054
% Current number of ordered equations: 0
% Current number of rules: 437
% New rule produced :
% [560]
% composition(converse(sk1),complement(one join A)) join complement(sk1) ->
% complement(sk1)
% Current number of equations to process: 4053
% Current number of ordered equations: 0
% Current number of rules: 438
% New rule produced :
% [561]
% composition(top,complement(sk1)) join complement(one join A) ->
% composition(top,complement(sk1))
% Current number of equations to process: 4052
% Current number of ordered equations: 0
% Current number of rules: 439
% New rule produced :
% [562] composition(top,composition(top,A)) -> composition(top,A)
% Rule
% [367]
% composition(top,composition(top,A)) join complement(composition(B,A)) -> top
% collapsed.
% Rule
% [369]
% composition(top,composition(top,A)) join composition(B,A) ->
% composition(top,A) collapsed.
% Rule [470] composition(top,composition(top,A)) join A -> composition(top,A)
% collapsed.
% Current number of equations to process: 4191
% Current number of ordered equations: 0
% Current number of rules: 437
% New rule produced :
% [563]
% one join composition(top,complement(composition(top,complement(sk1)))) -> one
% Current number of equations to process: 4294
% Current number of ordered equations: 0
% Current number of rules: 438
% New rule produced :
% [564]
% converse(composition(A,top)) join converse(composition(A,B)) ->
% converse(composition(A,top))
% Rule
% [444]
% converse(composition(A,sk1)) join converse(composition(A,top)) ->
% converse(composition(A,top)) collapsed.
% Current number of equations to process: 4299
% Current number of ordered equations: 0
% Current number of rules: 438
% New rule produced :
% [565]
% converse(composition(top,A)) join composition(converse(A),B) ->
% converse(composition(top,A))
% Current number of equations to process: 4298
% Current number of ordered equations: 0
% Current number of rules: 439
% New rule produced :
% [566]
% converse(composition(A,converse(B))) join composition(B,top) ->
% composition(B,top)
% Rule
% [365]
% converse(composition(sk1,converse(A))) join composition(A,top) ->
% composition(A,top) collapsed.
% Current number of equations to process: 4381
% Current number of ordered equations: 0
% Current number of rules: 439
% Rule [518] composition(complement(one),zero) -> composition(top,zero) is composed into
% [518] composition(complement(one),zero) -> zero
% Rule [517] composition(complement(sk1),zero) -> composition(top,zero) is composed into
% [517] composition(complement(sk1),zero) -> zero
% Rule [515]
% composition(complement(converse(sk1)),zero) -> composition(top,zero) is composed into
% [515] composition(complement(converse(sk1)),zero) -> zero
% New rule produced : [567] composition(top,zero) -> zero
% Rule
% [267] converse(composition(top,zero)) join complement(one) -> complement(one)
% collapsed.
% Rule
% [303]
% converse(composition(top,zero)) join converse(complement(one)) ->
% converse(complement(one)) collapsed.
% Rule
% [329] complement(one) join complement(converse(composition(top,zero))) -> top
% collapsed.
% Rule
% [336]
% converse(complement(converse(composition(top,zero)))) join complement(one) ->
% top collapsed.
% Rule
% [364]
% converse(complement(one)) join composition(top,zero) ->
% converse(complement(one)) collapsed.
% Rule
% [373]
% one join complement(composition(top,zero)) ->
% complement(composition(top,zero)) collapsed.
% Current number of equations to process: 4610
% Current number of ordered equations: 0
% Current number of rules: 434
% New rule produced : [568] complement(converse(zero)) -> top
% Rule [362] converse(complement(converse(zero))) -> top collapsed.
% Rule [484] one join complement(converse(zero)) -> top collapsed.
% Rule
% [488]
% complement(one) join complement(converse(zero)) -> complement(converse(zero))
% collapsed.
% Rule
% [511]
% complement(one join A) join complement(converse(zero)) ->
% complement(converse(zero)) collapsed.
% Rule [538] converse(A) join complement(converse(zero)) -> top collapsed.
% Current number of equations to process: 4609
% Current number of ordered equations: 0
% Current number of rules: 430
% New rule produced :
% [569]
% composition(top,complement(composition(complement(sk1),top))) ->
% complement(composition(complement(sk1),top))
% Current number of equations to process: 4648
% Current number of ordered equations: 0
% Current number of rules: 431
% New rule produced :
% [570]
% composition(composition(A,converse(B)),complement(composition(B,top))) ->
% composition(A,zero)
% Current number of equations to process: 4647
% Current number of ordered equations: 0
% Current number of rules: 432
% New rule produced :
% [571]
% composition(converse(B),composition(complement(composition(B,top)),A)) ->
% composition(zero,A)
% Current number of equations to process: 4646
% Current number of ordered equations: 0
% Current number of rules: 433
% New rule produced :
% [572]
% converse(complement(one)) join composition(A,complement(converse(A))) ->
% converse(complement(one))
% Current number of equations to process: 4732
% Current number of ordered equations: 0
% Current number of rules: 434
% New rule produced :
% [573]
% converse(complement(composition(A,complement(converse(A))))) join complement(one)
% -> top
% Current number of equations to process: 4731
% Current number of ordered equations: 0
% Current number of rules: 435
% New rule produced :
% [574]
% converse(composition(A,complement(converse(A)))) join complement(sk1) ->
% complement(sk1)
% Current number of equations to process: 4742
% Current number of ordered equations: 0
% Current number of rules: 436
% New rule produced :
% [575]
% composition(converse(complement(composition(B,top))),composition(B,A)) ->
% composition(converse(zero),A)
% Current number of equations to process: 4745
% Current number of ordered equations: 0
% Current number of rules: 437
% New rule produced :
% [576]
% composition(complement(converse(A)),complement(composition(A,top))) ->
% composition(top,complement(composition(A,top)))
% Current number of equations to process: 4744
% Current number of ordered equations: 0
% Current number of rules: 438
% New rule produced :
% [577]
% composition(converse(composition(B,A)),complement(composition(B,top))) ->
% composition(converse(A),zero)
% Current number of equations to process: 4743
% Current number of ordered equations: 0
% Current number of rules: 439
% New rule produced :
% [578]
% converse(complement(one)) join complement(composition(converse(A),complement(A)))
% -> top
% Current number of equations to process: 4744
% Current number of ordered equations: 0
% Current number of rules: 440
% New rule produced : [579] converse(complement(one)) -> complement(one)
% Rule
% [165]
% converse(composition(converse(A),complement(A))) join converse(complement(one))
% -> converse(complement(one)) collapsed.
% Rule [240] one join converse(complement(one)) -> top collapsed.
% Rule
% [269]
% converse(complement(one)) join composition(converse(A),complement(A)) ->
% converse(complement(one)) collapsed.
% Rule
% [312]
% converse(composition(A,complement(converse(A)))) join converse(complement(one))
% -> converse(complement(one)) collapsed.
% Rule
% [314]
% converse(complement(one)) join converse(complement(composition(converse(A),
% complement(A)))) -> top
% collapsed.
% Rule
% [325]
% converse(complement(one)) join complement(converse(composition(converse(A),
% complement(A)))) -> top
% collapsed.
% Rule [381] converse(complement(one)) join complement(one) -> complement(one)
% collapsed.
% Rule
% [447]
% converse(composition(A,converse(complement(one)))) join converse(A) ->
% converse(composition(A,top)) collapsed.
% Rule [504] complement(converse(complement(one))) -> one collapsed.
% Rule
% [506] composition(converse(complement(one)),A) join A -> composition(top,A)
% collapsed.
% Rule
% [507] composition(A,converse(complement(one))) join A -> composition(A,top)
% collapsed.
% Rule
% [508]
% complement(converse(complement(one)) join A) ->
% complement(complement(one) join A) collapsed.
% Rule
% [523]
% converse(complement(sk1)) join converse(complement(one)) ->
% converse(complement(sk1)) collapsed.
% Rule
% [572]
% converse(complement(one)) join composition(A,complement(converse(A))) ->
% converse(complement(one)) collapsed.
% Rule
% [578]
% converse(complement(one)) join complement(composition(converse(A),complement(A)))
% -> top collapsed.
% Current number of equations to process: 4828
% Current number of ordered equations: 0
% Current number of rules: 426
% New rule produced :
% [580] composition(A,complement(one)) join A -> composition(A,top)
% Current number of equations to process: 4826
% Current number of ordered equations: 0
% Current number of rules: 427
% New rule produced :
% [581]
% converse(complement(sk1)) join complement(one) -> converse(complement(sk1))
% Rule
% [397]
% complement(converse(complement(sk1)) join complement(one)) ->
% complement(converse(complement(sk1))) collapsed.
% Current number of equations to process: 4825
% Current number of ordered equations: 0
% Current number of rules: 427
% New rule produced :
% [582]
% converse(composition(A,complement(one))) join converse(A) ->
% converse(composition(A,top))
% Current number of equations to process: 4824
% Current number of ordered equations: 0
% Current number of rules: 428
% New rule produced :
% [583]
% one join complement(composition(converse(A),complement(A))) ->
% complement(composition(converse(A),complement(A)))
% Rule
% [321]
% complement(one join complement(composition(converse(A),complement(A)))) ->
% composition(converse(A),complement(A)) collapsed.
% Current number of equations to process: 4825
% Current number of ordered equations: 0
% Current number of rules: 428
% New rule produced :
% [584]
% converse(complement(composition(converse(A),complement(A)))) join complement(sk1)
% -> top
% Current number of equations to process: 4908
% Current number of ordered equations: 0
% Current number of rules: 429
% New rule produced :
% [585] converse(complement(converse(composition(A,sk1)))) join A -> top
% Current number of equations to process: 4918
% Current number of ordered equations: 0
% Current number of rules: 430
% New rule produced :
% [586] one join complement(converse(composition(sk1,sk1))) -> top
% Current number of equations to process: 4949
% Current number of ordered equations: 0
% Current number of rules: 431
% New rule produced : [587] complement(composition(A,sk1)) join A -> top
% Current number of equations to process: 4959
% Current number of ordered equations: 0
% Current number of rules: 432
% New rule produced : [588] composition(sk1,composition(A,sk1)) join A -> A
% Current number of equations to process: 1505
% Current number of ordered equations: 1
% Current number of rules: 433
% New rule produced : [589] composition(composition(sk1,A),sk1) join A -> A
% Current number of equations to process: 1505
% Current number of ordered equations: 0
% Current number of rules: 434
% New rule produced : [590] composition(zero,sk1) -> zero
% Rule [486] one join converse(composition(zero,sk1)) -> one collapsed.
% Rule [493] one join composition(zero,sk1) -> one collapsed.
% Current number of equations to process: 1515
% Current number of ordered equations: 0
% Current number of rules: 433
% New rule produced : [591] composition(zero,composition(A,sk1)) join A -> A
% Current number of equations to process: 1517
% Current number of ordered equations: 0
% Current number of rules: 434
% New rule produced :
% [592]
% composition(complement(one),sk1) join complement(sk1) -> complement(sk1)
% Current number of equations to process: 1516
% Current number of ordered equations: 0
% Current number of rules: 435
% New rule produced : [593] composition(composition(A,sk1),sk1) join A -> A
% Current number of equations to process: 1519
% Current number of ordered equations: 0
% Current number of rules: 436
% New rule produced :
% [594] composition(complement(A),sk1) join A -> composition(top,sk1) join A
% Rule
% [422]
% one join composition(complement(one),sk1) -> one join composition(top,sk1)
% collapsed.
% Current number of equations to process: 1517
% Current number of ordered equations: 0
% Current number of rules: 436
% New rule produced :
% [595] composition(converse(sk1),composition(A,sk1)) join A -> A
% Current number of equations to process: 1516
% Current number of ordered equations: 0
% Current number of rules: 437
% New rule produced :
% [596] composition(top,A) join composition(A,sk1) -> composition(top,A)
% Current number of equations to process: 1515
% Current number of ordered equations: 0
% Current number of rules: 438
% New rule produced :
% [597] complement(composition(sk1,composition(A,sk1))) join A -> top
% Current number of equations to process: 1514
% Current number of ordered equations: 0
% Current number of rules: 439
% New rule produced :
% [598]
% composition(top,sk1) join complement(A) <->
% composition(A,sk1) join complement(A)
% Current number of equations to process: 1512
% Current number of ordered equations: 1
% Current number of rules: 440
% New rule produced :
% [599]
% composition(A,sk1) join complement(A) <->
% composition(top,sk1) join complement(A)
% Current number of equations to process: 1512
% Current number of ordered equations: 0
% Current number of rules: 441
% New rule produced :
% [600]
% complement(composition(A,sk1)) join complement(A) ->
% complement(composition(A,sk1))
% Current number of equations to process: 1511
% Current number of ordered equations: 0
% Current number of rules: 442
% New rule produced :
% [601]
% complement(composition(complement(A),sk1)) join A ->
% complement(composition(complement(A),sk1))
% Current number of equations to process: 1510
% Current number of ordered equations: 0
% Current number of rules: 443
% New rule produced :
% [602]
% composition(top,sk1) join complement(converse(sk1)) ->
% sk1 join complement(converse(sk1))
% Current number of equations to process: 1509
% Current number of ordered equations: 0
% Current number of rules: 444
% New rule produced :
% [603] complement(composition(converse(sk1),composition(A,sk1))) join A -> top
% Current number of equations to process: 1508
% Current number of ordered equations: 0
% Current number of rules: 445
% New rule produced :
% [604]
% composition(complement(A join B),sk1) join complement(B) -> complement(B)
% Current number of equations to process: 1507
% Current number of ordered equations: 0
% Current number of rules: 446
% New rule produced :
% [605]
% composition(complement(one join A),sk1) join complement(sk1) ->
% complement(sk1)
% Current number of equations to process: 1506
% Current number of ordered equations: 0
% Current number of rules: 447
% New rule produced :
% [606] one join converse(complement(composition(sk1,sk1))) -> top
% Current number of equations to process: 1551
% Current number of ordered equations: 0
% Current number of rules: 448
% New rule produced :
% [607]
% converse(A) join complement(converse(composition(composition(A,sk1),sk1))) ->
% top
% Current number of equations to process: 1565
% Current number of ordered equations: 0
% Current number of rules: 449
% New rule produced :
% [608]
% converse(A) join composition(top,complement(converse(composition(A,sk1)))) ->
% top
% Current number of equations to process: 1564
% Current number of ordered equations: 0
% Current number of rules: 450
% New rule produced :
% [609]
% converse(A) join complement(converse(composition(composition(sk1,A),sk1))) ->
% top
% Current number of equations to process: 1563
% Current number of ordered equations: 0
% Current number of rules: 451
% New rule produced :
% [610]
% composition(A,composition(B,sk1)) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 1561
% Current number of ordered equations: 0
% Current number of rules: 452
% New rule produced :
% [611]
% composition(composition(A,sk1),B) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 1560
% Current number of ordered equations: 0
% Current number of rules: 453
% New rule produced :
% [612]
% composition(top,A) join composition(composition(B,A),sk1) ->
% composition(top,A)
% Current number of equations to process: 1559
% Current number of ordered equations: 0
% Current number of rules: 454
% New rule produced :
% [613]
% converse(complement(converse(composition(sk1,composition(A,sk1))))) join A ->
% top
% Current number of equations to process: 1554
% Current number of ordered equations: 0
% Current number of rules: 455
% New rule produced :
% [614]
% converse(complement(composition(composition(A,sk1),sk1))) join converse(A) ->
% top
% Current number of equations to process: 1551
% Current number of ordered equations: 0
% Current number of rules: 456
% New rule produced :
% [615]
% converse(complement(composition(composition(sk1,A),sk1))) join converse(A) ->
% top
% Current number of equations to process: 1550
% Current number of ordered equations: 0
% Current number of rules: 457
% New rule produced :
% [616] composition(A,top) join complement(composition(A,B)) -> top
% Current number of equations to process: 1561
% Current number of ordered equations: 0
% Current number of rules: 458
% New rule produced :
% [617]
% composition(converse(sk1),complement(A)) join A ->
% converse(composition(top,sk1)) join A
% Current number of equations to process: 1669
% Current number of ordered equations: 0
% Current number of rules: 459
% New rule produced :
% [618]
% composition(A,converse(A)) join complement(one) ->
% composition(A,top) join complement(one)
% Current number of equations to process: 1717
% Current number of ordered equations: 0
% Current number of rules: 460
% New rule produced :
% [619] composition(sk1,complement(A)) join A -> composition(sk1,top) join A
% Current number of equations to process: 1774
% Current number of ordered equations: 0
% Current number of rules: 461
% New rule produced :
% [620]
% composition(sk1,top) join complement(A) <->
% composition(sk1,A) join complement(A)
% Current number of equations to process: 1783
% Current number of ordered equations: 1
% Current number of rules: 462
% New rule produced :
% [621]
% composition(sk1,A) join complement(A) <->
% composition(sk1,top) join complement(A)
% Current number of equations to process: 1783
% Current number of ordered equations: 0
% Current number of rules: 463
% New rule produced :
% [622] composition(zero,complement(A)) join A -> composition(zero,top) join A
% Current number of equations to process: 1812
% Current number of ordered equations: 0
% Current number of rules: 464
% New rule produced :
% [623]
% composition(zero,top) join complement(A) <->
% composition(zero,A) join complement(A)
% Current number of equations to process: 1811
% Current number of ordered equations: 1
% Current number of rules: 465
% New rule produced :
% [624]
% composition(zero,A) join complement(A) <->
% composition(zero,top) join complement(A)
% Current number of equations to process: 1811
% Current number of ordered equations: 0
% Current number of rules: 466
% New rule produced :
% [625]
% one join composition(converse(sk1),complement(sk1)) ->
% one join converse(composition(top,sk1))
% Current number of equations to process: 1814
% Current number of ordered equations: 0
% Current number of rules: 467
% New rule produced :
% [626]
% composition(converse(A),composition(A,top)) -> converse(composition(top,A))
% Current number of equations to process: 1819
% Current number of ordered equations: 0
% Current number of rules: 468
% New rule produced : [627] composition(A,top) join A -> composition(A,top)
% Current number of equations to process: 1824
% Current number of ordered equations: 0
% Current number of rules: 469
% New rule produced :
% [628] composition(converse(composition(sk1,sk1)),A) join A -> A
% Current number of equations to process: 1824
% Current number of ordered equations: 0
% Current number of rules: 470
% New rule produced :
% [629]
% composition(converse(A),A) join complement(one) ->
% converse(composition(top,A)) join complement(one)
% Current number of equations to process: 1823
% Current number of ordered equations: 0
% Current number of rules: 471
% New rule produced :
% [630]
% composition(converse(sk1),A) join complement(A) ->
% converse(composition(top,sk1)) join complement(A)
% Current number of equations to process: 1821
% Current number of ordered equations: 0
% Current number of rules: 472
% New rule produced :
% [631]
% composition(sk1,composition(A,B)) join composition(A,top) ->
% composition(A,top)
% Current number of equations to process: 1820
% Current number of ordered equations: 0
% Current number of rules: 473
% New rule produced :
% [632]
% composition(A,top) join complement(composition(sk1,composition(A,B))) -> top
% Current number of equations to process: 1819
% Current number of ordered equations: 0
% Current number of rules: 474
% New rule produced :
% [633]
% composition(zero,composition(A,B)) join composition(A,top) ->
% composition(A,top)
% Current number of equations to process: 1818
% Current number of ordered equations: 0
% Current number of rules: 475
% New rule produced :
% [634]
% converse(composition(A,top)) join composition(top,complement(converse(A))) ->
% top
% Current number of equations to process: 1817
% Current number of ordered equations: 0
% Current number of rules: 476
% New rule produced :
% [635]
% composition(composition(A,B),sk1) join composition(A,top) ->
% composition(A,top)
% Current number of equations to process: 1816
% Current number of ordered equations: 0
% Current number of rules: 477
% New rule produced :
% [636]
% converse(composition(A,composition(sk1,sk1))) join converse(A) -> converse(A)
% Current number of equations to process: 1828
% Current number of ordered equations: 0
% Current number of rules: 478
% New rule produced :
% [637] one join converse(composition(composition(sk1,sk1),sk1)) -> one
% Current number of equations to process: 1854
% Current number of ordered equations: 0
% Current number of rules: 479
% New rule produced :
% [638] converse(complement(converse(A))) join composition(A,top) -> top
% Current number of equations to process: 1855
% Current number of ordered equations: 0
% Current number of rules: 480
% New rule produced : [639] composition(complement(A),top) join A -> top
% Current number of equations to process: 1867
% Current number of ordered equations: 1
% Current number of rules: 481
% New rule produced : [640] composition(A,top) join complement(A) -> top
% Current number of equations to process: 1867
% Current number of ordered equations: 0
% Current number of rules: 482
% New rule produced : [641] one join composition(complement(sk1),top) -> top
% Current number of equations to process: 1870
% Current number of ordered equations: 0
% Current number of rules: 483
% New rule produced :
% [642]
% one join composition(sk1,complement(sk1)) -> one join composition(sk1,top)
% Current number of equations to process: 1890
% Current number of ordered equations: 0
% Current number of rules: 484
% New rule produced :
% [643] converse(composition(top,complement(A))) join converse(A) -> top
% Current number of equations to process: 1889
% Current number of ordered equations: 0
% Current number of rules: 485
% New rule produced :
% [644]
% composition(composition(top,complement(sk1)),top) ->
% composition(top,complement(sk1))
% Current number of equations to process: 1928
% Current number of ordered equations: 0
% Current number of rules: 486
% New rule produced :
% [645] one join converse(composition(top,complement(sk1))) -> top
% Current number of equations to process: 2014
% Current number of ordered equations: 0
% Current number of rules: 487
% New rule produced :
% [646] one join composition(complement(converse(sk1)),top) -> top
% Current number of equations to process: 2013
% Current number of ordered equations: 0
% Current number of rules: 488
% New rule produced :
% [647] composition(sk1,A) join composition(A,top) -> composition(A,top)
% Current number of equations to process: 2022
% Current number of ordered equations: 0
% Current number of rules: 489
% New rule produced :
% [648] composition(A,top) join complement(composition(sk1,A)) -> top
% Current number of equations to process: 2020
% Current number of ordered equations: 1
% Current number of rules: 490
% New rule produced :
% [649] composition(complement(composition(sk1,A)),top) join A -> top
% Current number of equations to process: 2020
% Current number of ordered equations: 0
% Current number of rules: 491
% New rule produced :
% [650]
% composition(complement(one),top) join complement(sk1) ->
% composition(top,complement(sk1))
% Current number of equations to process: 2019
% Current number of ordered equations: 0
% Current number of rules: 492
% New rule produced :
% [651] composition(zero,complement(sk1)) -> composition(zero,top)
% Current number of equations to process: 2058
% Current number of ordered equations: 0
% Current number of rules: 493
% New rule produced :
% [652] composition(zero,A) join composition(A,top) -> composition(A,top)
% Current number of equations to process: 2063
% Current number of ordered equations: 0
% Current number of rules: 494
% New rule produced :
% [653]
% composition(complement(sk1),top) join complement(one) ->
% composition(complement(sk1),top)
% Current number of equations to process: 2067
% Current number of ordered equations: 0
% Current number of rules: 495
% New rule produced :
% [654]
% converse(composition(top,sk1)) join complement(one) ->
% converse(sk1) join complement(one)
% Current number of equations to process: 2092
% Current number of ordered equations: 0
% Current number of rules: 496
% New rule produced :
% [655]
% converse(composition(top,sk1)) join complement(sk1) ->
% converse(sk1) join complement(sk1)
% Current number of equations to process: 2090
% Current number of ordered equations: 1
% Current number of rules: 497
% New rule produced :
% [656]
% composition(converse(sk1),A) join composition(A,top) -> composition(A,top)
% Current number of equations to process: 2090
% Current number of ordered equations: 0
% Current number of rules: 498
% New rule produced :
% [657] one join composition(complement(sk1 join converse(sk1)),top) -> top
% Current number of equations to process: 2087
% Current number of ordered equations: 0
% Current number of rules: 499
% New rule produced :
% [658] composition(complement(composition(converse(sk1),A)),top) join A -> top
% Current number of equations to process: 2085
% Current number of ordered equations: 1
% Current number of rules: 500
% New rule produced :
% [659] composition(A,top) join complement(composition(converse(sk1),A)) -> top
% Current number of equations to process: 2085
% Current number of ordered equations: 0
% Current number of rules: 501
% New rule produced :
% [660]
% composition(composition(top,A),top) join A ->
% composition(composition(top,A),top)
% Current number of equations to process: 2084
% Current number of ordered equations: 0
% Current number of rules: 502
% New rule produced :
% [661]
% converse(composition(A,complement(sk1))) join converse(A) ->
% converse(composition(A,top))
% Current number of equations to process: 2087
% Current number of ordered equations: 0
% Current number of rules: 503
% New rule produced :
% [662]
% composition(top,composition(complement(sk1),top)) ->
% composition(complement(sk1),top)
% Current number of equations to process: 2202
% Current number of ordered equations: 0
% Current number of rules: 504
% New rule produced :
% [663]
% composition(top,composition(complement(one),top)) ->
% composition(complement(one),top)
% Current number of equations to process: 2210
% Current number of ordered equations: 0
% Current number of rules: 505
% New rule produced :
% [664]
% composition(top,composition(complement(converse(sk1)),top)) ->
% composition(complement(converse(sk1)),top)
% Current number of equations to process: 2213
% Current number of ordered equations: 0
% Current number of rules: 506
% New rule produced :
% [665]
% complement(complement(composition(complement(A),top)) join A) ->
% complement(A)
% Current number of equations to process: 2226
% Current number of ordered equations: 0
% Current number of rules: 507
% New rule produced : [666] complement(complement(A) join B) join A -> A
% Rule
% [281] complement(complement(complement(A) join B) join A) -> complement(A)
% collapsed.
% Current number of equations to process: 2226
% Current number of ordered equations: 0
% Current number of rules: 507
% New rule produced :
% [667]
% composition(top,A) join composition(complement(composition(B,A)),top) -> top
% Current number of equations to process: 2222
% Current number of ordered equations: 1
% Current number of rules: 508
% New rule produced :
% [668]
% composition(composition(top,A),top) join complement(composition(B,A)) -> top
% Current number of equations to process: 2222
% Current number of ordered equations: 0
% Current number of rules: 509
% New rule produced :
% [669]
% converse(complement(converse(composition(sk1,A)))) join composition(A,top) ->
% top
% Current number of equations to process: 2219
% Current number of ordered equations: 0
% Current number of rules: 510
% New rule produced :
% [670]
% converse(composition(converse(A),sk1)) join composition(A,top) ->
% composition(A,top)
% Current number of equations to process: 2218
% Current number of ordered equations: 0
% Current number of rules: 511
% New rule produced :
% [671]
% converse(A) join composition(complement(converse(composition(A,sk1))),top) ->
% top
% Current number of equations to process: 2216
% Current number of ordered equations: 1
% Current number of rules: 512
% New rule produced :
% [672]
% converse(composition(top,A)) join complement(converse(composition(A,sk1))) ->
% top
% Current number of equations to process: 2216
% Current number of ordered equations: 0
% Current number of rules: 513
% New rule produced :
% [673]
% converse(composition(top,A)) join converse(complement(composition(A,sk1))) ->
% top
% Current number of equations to process: 2215
% Current number of ordered equations: 0
% Current number of rules: 514
% New rule produced :
% [674]
% composition(composition(A,B),C) join composition(A,top) -> composition(A,top)
% Rule
% [635]
% composition(composition(A,B),sk1) join composition(A,top) ->
% composition(A,top) collapsed.
% Current number of equations to process: 2214
% Current number of ordered equations: 0
% Current number of rules: 514
% New rule produced :
% [675] converse(A) join complement(converse(complement(A))) -> converse(A)
% Rule
% [284]
% complement(converse(A) join complement(converse(complement(A)))) ->
% complement(converse(A)) collapsed.
% Current number of equations to process: 2215
% Current number of ordered equations: 0
% Current number of rules: 514
% New rule produced :
% [676]
% converse(complement(A)) join complement(converse(A)) ->
% converse(complement(A))
% Rule
% [285]
% complement(converse(complement(A)) join complement(converse(A))) ->
% complement(converse(complement(A))) collapsed.
% Current number of equations to process: 2216
% Current number of ordered equations: 0
% Current number of rules: 514
% New rule produced :
% [677]
% composition(composition(A,complement(converse(A))),sk1) join complement(one)
% -> complement(one)
% Current number of equations to process: 2218
% Current number of ordered equations: 0
% Current number of rules: 515
% New rule produced :
% [678]
% complement(A join B) join complement(composition(A,sk1)) ->
% complement(composition(A,sk1))
% Current number of equations to process: 2216
% Current number of ordered equations: 0
% Current number of rules: 516
% New rule produced :
% [679]
% composition(top,complement(sk1)) join composition(A,top) ->
% composition(top,complement(sk1)) join A
% Current number of equations to process: 2212
% Current number of ordered equations: 0
% Current number of rules: 517
% New rule produced :
% [680]
% converse(composition(top,A)) join converse(composition(A,sk1)) ->
% converse(composition(top,A))
% Current number of equations to process: 2211
% Current number of ordered equations: 0
% Current number of rules: 518
% New rule produced :
% [681]
% composition(complement(sk1),top) join complement(one join A) ->
% composition(complement(sk1),top)
% Current number of equations to process: 2210
% Current number of ordered equations: 0
% Current number of rules: 519
% New rule produced :
% [682]
% complement(composition(A,top)) join complement(composition(A,B)) ->
% complement(composition(A,B))
% Current number of equations to process: 2209
% Current number of ordered equations: 0
% Current number of rules: 520
% New rule produced :
% [683]
% composition(top,A) join composition(complement(sk1),top) ->
% composition(complement(sk1),top) join A
% Current number of equations to process: 2207
% Current number of ordered equations: 0
% Current number of rules: 521
% New rule produced :
% [684]
% composition(top,A) join composition(complement(one),top) ->
% composition(complement(one),top) join A
% Current number of equations to process: 2205
% Current number of ordered equations: 0
% Current number of rules: 522
% New rule produced :
% [685]
% complement(complement(composition(complement(A),top) join B) join A) ->
% complement(A)
% Current number of equations to process: 2204
% Current number of ordered equations: 0
% Current number of rules: 523
% New rule produced :
% [686] complement(one join complement(sk1 join A)) join A -> A
% Rule
% [288]
% complement(complement(one join complement(sk1 join A)) join A) ->
% complement(A) collapsed.
% Current number of equations to process: 2203
% Current number of ordered equations: 0
% Current number of rules: 523
% New rule produced :
% [687] complement(converse(complement(converse(A)))) join A -> A
% Rule
% [290]
% complement(complement(converse(complement(converse(A)))) join A) ->
% complement(A) collapsed.
% Current number of equations to process: 2314
% Current number of ordered equations: 0
% Current number of rules: 523
% New rule produced :
% [688]
% converse(complement(converse(A))) join complement(A) ->
% converse(complement(converse(A)))
% Rule
% [291]
% complement(converse(complement(converse(A))) join complement(A)) ->
% complement(converse(complement(converse(A)))) collapsed.
% Current number of equations to process: 2313
% Current number of ordered equations: 0
% Current number of rules: 523
% New rule produced :
% [689] one join complement(sk1 join A) -> one join complement(A)
% Rule [200] one join complement(sk1 join converse(sk1)) -> top collapsed.
% Rule [216] one join complement(sk1 join sk1 join sk1) -> top collapsed.
% Rule
% [311]
% one join complement(sk1 join composition(converse(sk1),A)) join A -> top
% collapsed.
% Rule [686] complement(one join complement(sk1 join A)) join A -> A collapsed.
% Current number of equations to process: 2344
% Current number of ordered equations: 0
% Current number of rules: 520
% New rule produced :
% [690] complement(converse(complement(converse(A))) join B) join A -> A
% Rule
% [297]
% complement(complement(converse(complement(converse(A))) join B) join A) ->
% complement(A) collapsed.
% Current number of equations to process: 2414
% Current number of ordered equations: 0
% Current number of rules: 520
% New rule produced :
% [691] one join complement(converse(complement(converse(sk1)))) -> one
% Rule
% [352]
% complement(one join complement(converse(complement(converse(sk1))))) ->
% complement(one) collapsed.
% Current number of equations to process: 2450
% Current number of ordered equations: 0
% Current number of rules: 520
% New rule produced :
% [692]
% converse(complement(converse(sk1))) join complement(one) ->
% converse(complement(converse(sk1)))
% Rule
% [370]
% complement(converse(complement(converse(sk1))) join complement(one)) ->
% complement(converse(complement(converse(sk1)))) collapsed.
% Current number of equations to process: 2465
% Current number of ordered equations: 0
% Current number of rules: 520
% New rule produced :
% [693] one join complement(converse(complement(sk1))) -> one
% Rule
% [390]
% complement(one join complement(converse(complement(sk1)))) -> complement(one)
% collapsed.
% Rule
% [441]
% complement(one join complement(converse(complement(sk1))) join A) ->
% complement(one join A) collapsed.
% Current number of equations to process: 2492
% Current number of ordered equations: 0
% Current number of rules: 519
% New rule produced :
% [694] one join complement(converse(complement(sk1)) join A) -> one
% Rule
% [413]
% complement(one join complement(converse(complement(sk1)) join A)) ->
% complement(one) collapsed.
% Current number of equations to process: 2545
% Current number of ordered equations: 0
% Current number of rules: 519
% New rule produced :
% [695] one join complement(complement(converse(sk1)) join A) -> one
% Rule
% [414]
% complement(one join complement(complement(converse(sk1)) join A)) ->
% complement(one) collapsed.
% Current number of equations to process: 2544
% Current number of ordered equations: 0
% Current number of rules: 519
% New rule produced :
% [696] one join complement(converse(sk1) join A) -> one join complement(A)
% Current number of equations to process: 2543
% Current number of ordered equations: 0
% Current number of rules: 520
% New rule produced :
% [697] one join complement(converse(complement(converse(sk1))) join A) -> one
% Rule
% [376]
% complement(one join complement(converse(complement(converse(sk1))) join A))
% -> complement(one) collapsed.
% Current number of equations to process: 2745
% Current number of ordered equations: 0
% Current number of rules: 520
% New rule produced :
% [698]
% converse(complement(sk1)) join complement(one join A) ->
% converse(complement(sk1))
% Rule
% [440]
% complement(converse(complement(sk1)) join complement(one join A)) ->
% complement(converse(complement(sk1))) collapsed.
% Current number of equations to process: 2743
% Current number of ordered equations: 0
% Current number of rules: 520
% New rule produced :
% [699] complement(complement(composition(sk1,A)) join B) join A -> A
% Rule
% [442]
% complement(complement(complement(composition(sk1,A)) join B) join A) ->
% complement(A) collapsed.
% Current number of equations to process: 2742
% Current number of ordered equations: 0
% Current number of rules: 520
% New rule produced :
% [700]
% complement(converse(complement(converse(composition(sk1,A))))) join A -> A
% Rule
% [446]
% complement(complement(converse(complement(converse(composition(sk1,A))))) join A)
% -> complement(A) collapsed.
% Current number of equations to process: 2741
% Current number of ordered equations: 0
% Current number of rules: 520
% New rule produced :
% [701]
% complement(composition(A,complement(sk1))) join A ->
% complement(composition(A,top)) join A
% Current number of equations to process: 2740
% Current number of ordered equations: 0
% Current number of rules: 521
% New rule produced :
% [702]
% converse(A) join complement(converse(complement(A)) join B) -> converse(A)
% Rule
% [319]
% complement(converse(A) join complement(converse(complement(A)) join B)) ->
% complement(converse(A)) collapsed.
% Current number of equations to process: 2739
% Current number of ordered equations: 0
% Current number of rules: 521
% New rule produced :
% [703] complement(composition(sk1,B) join A) join B -> complement(A) join B
% Current number of equations to process: 2737
% Current number of ordered equations: 0
% Current number of rules: 522
% New rule produced :
% [704]
% complement(composition(complement(sk1),A)) join A ->
% complement(composition(top,A)) join A
% Current number of equations to process: 2736
% Current number of ordered equations: 0
% Current number of rules: 523
% New rule produced :
% [705]
% complement(composition(complement(one),A)) join A ->
% complement(composition(top,A)) join A
% Current number of equations to process: 2735
% Current number of ordered equations: 0
% Current number of rules: 524
% New rule produced :
% [706] complement(composition(zero,A) join B) join A -> complement(B) join A
% Current number of equations to process: 2733
% Current number of ordered equations: 0
% Current number of rules: 525
% New rule produced :
% [707] complement(composition(B,sk1) join A) join B -> complement(A) join B
% Current number of equations to process: 2731
% Current number of ordered equations: 0
% Current number of rules: 526
% New rule produced :
% [708]
% converse(A) join complement(converse(complement(composition(A,sk1)))) ->
% converse(A)
% Current number of equations to process: 2730
% Current number of ordered equations: 0
% Current number of rules: 527
% New rule produced :
% [709]
% converse(complement(A)) join complement(converse(A) join B) ->
% converse(complement(A))
% Current number of equations to process: 2727
% Current number of ordered equations: 0
% Current number of rules: 528
% New rule produced :
% [710] complement(complement(composition(converse(sk1),A)) join B) join A -> A
% Current number of equations to process: 2725
% Current number of ordered equations: 0
% Current number of rules: 529
% New rule produced :
% [711]
% complement(converse(complement(converse(composition(converse(sk1),A))))) join A
% -> A
% Current number of equations to process: 2724
% Current number of ordered equations: 0
% Current number of rules: 530
% New rule produced :
% [712]
% converse(complement(converse(complement(composition(A,top))))) join complement(A)
% -> top
% Current number of equations to process: 2723
% Current number of ordered equations: 0
% Current number of rules: 531
% New rule produced :
% [713]
% converse(complement(converse(complement(composition(top,A))))) join complement(A)
% -> top
% Current number of equations to process: 2756
% Current number of ordered equations: 0
% Current number of rules: 532
% New rule produced :
% [714]
% composition(A,top) join complement(A join B) ->
% composition(A,top) join complement(B)
% Current number of equations to process: 2771
% Current number of ordered equations: 0
% Current number of rules: 533
% New rule produced :
% [715]
% converse(complement(converse(A))) join complement(A join B) ->
% converse(complement(converse(A)))
% Current number of equations to process: 2770
% Current number of ordered equations: 0
% Current number of rules: 534
% New rule produced :
% [716]
% converse(complement(A join B)) join converse(B) ->
% converse(complement(A)) join converse(B)
% Rule
% [58] converse(complement(A join B)) join converse(A) join converse(B) -> top
% collapsed.
% Rule
% [167]
% complement(converse(complement(A join A)) join converse(A)) ->
% complement(top) collapsed.
% Rule [427] one join converse(complement(one join A)) join converse(A) -> top
% collapsed.
% Rule [428] one join converse(complement(sk1 join A)) join converse(A) -> top
% collapsed.
% Current number of equations to process: 2768
% Current number of ordered equations: 0
% Current number of rules: 531
% New rule produced :
% [717]
% converse(complement(converse(complement(complement(A) join B)))) join A ->
% top
% Current number of equations to process: 2769
% Current number of ordered equations: 0
% Current number of rules: 532
% New rule produced :
% [718]
% converse(complement(A)) join complement(converse(complement(A join B))) ->
% top
% Current number of equations to process: 2809
% Current number of ordered equations: 0
% Current number of rules: 533
% New rule produced :
% [719]
% converse(complement(converse(complement(A)))) join complement(composition(sk1,A))
% -> top
% Current number of equations to process: 2939
% Current number of ordered equations: 0
% Current number of rules: 534
% New rule produced :
% [720]
% converse(complement(converse(complement(A)))) join complement(composition(zero,A))
% -> top
% Current number of equations to process: 3008
% Current number of ordered equations: 0
% Current number of rules: 535
% New rule produced :
% [721]
% converse(complement(converse(complement(A)))) join complement(composition(A,sk1))
% -> top
% Current number of equations to process: 3088
% Current number of ordered equations: 0
% Current number of rules: 536
% New rule produced :
% [722] complement(composition(A,top)) join complement(A) -> complement(A)
% Current number of equations to process: 3198
% Current number of ordered equations: 0
% Current number of rules: 537
% New rule produced :
% [723]
% complement(composition(A,top) join B) join complement(A) -> complement(A)
% Current number of equations to process: 3533
% Current number of ordered equations: 0
% Current number of rules: 538
% New rule produced :
% [724]
% converse(complement(A join B)) join converse(complement(A)) ->
% converse(complement(A))
% Current number of equations to process: 3532
% Current number of ordered equations: 0
% Current number of rules: 539
% New rule produced :
% [725]
% converse(complement(converse(complement(A)))) join A ->
% converse(complement(converse(complement(A))))
% Rule
% [296]
% complement(converse(complement(converse(complement(A)))) join A) ->
% complement(converse(complement(converse(complement(A))))) collapsed.
% Current number of equations to process: 3598
% Current number of ordered equations: 0
% Current number of rules: 539
% New rule produced :
% [726]
% one join composition(converse(sk1),complement(complement(one) join A)) -> one
% Current number of equations to process: 3697
% Current number of ordered equations: 0
% Current number of rules: 540
% New rule produced :
% [727] composition(converse(sk1),complement(complement(A) join B)) join A -> A
% Rule
% [726]
% one join composition(converse(sk1),complement(complement(one) join A)) -> one
% collapsed.
% Current number of equations to process: 3724
% Current number of ordered equations: 0
% Current number of rules: 540
% New rule produced :
% [728]
% complement(composition(converse(sk1),A) join B) join A ->
% complement(B) join A
% Current number of equations to process: 3802
% Current number of ordered equations: 0
% Current number of rules: 541
% New rule produced :
% [729]
% composition(top,A) join complement(A join B) ->
% composition(top,A) join complement(B)
% Current number of equations to process: 3800
% Current number of ordered equations: 1
% Current number of rules: 542
% New rule produced :
% [730]
% complement(composition(converse(complement(sk1)),A)) join A ->
% complement(composition(top,A)) join A
% Current number of equations to process: 3800
% Current number of ordered equations: 0
% Current number of rules: 543
% New rule produced :
% [731]
% converse(complement(converse(sk1))) join complement(one join A) ->
% converse(complement(converse(sk1)))
% Current number of equations to process: 3799
% Current number of ordered equations: 0
% Current number of rules: 544
% New rule produced :
% [732]
% complement(composition(complement(converse(sk1)),A)) join A ->
% complement(composition(top,A)) join A
% Current number of equations to process: 3797
% Current number of ordered equations: 0
% Current number of rules: 545
% New rule produced :
% [733]
% one join complement(composition(converse(sk1),sk1) join A) ->
% one join complement(A)
% Current number of equations to process: 3795
% Current number of ordered equations: 0
% Current number of rules: 546
% New rule produced :
% [734]
% composition(complement(A),top) join complement(A join B) ->
% composition(complement(A),top)
% Current number of equations to process: 3792
% Current number of ordered equations: 0
% Current number of rules: 547
% New rule produced :
% [735]
% composition(top,complement(A)) join complement(A join B) ->
% composition(top,complement(A))
% Current number of equations to process: 3791
% Current number of ordered equations: 0
% Current number of rules: 548
% New rule produced :
% [736]
% complement(sk1 join A) join complement(one join A) -> complement(sk1 join A)
% Rule
% [320]
% complement(complement(sk1 join A) join complement(one join A)) -> sk1 join A
% collapsed.
% Current number of equations to process: 3790
% Current number of ordered equations: 0
% Current number of rules: 548
% New rule produced :
% [737]
% composition(converse(sk1),complement(composition(A,top))) join complement(A)
% -> complement(A)
% Current number of equations to process: 3788
% Current number of ordered equations: 0
% Current number of rules: 549
% New rule produced :
% [738]
% composition(converse(sk1),complement(composition(top,A))) join complement(A)
% -> complement(A)
% Current number of equations to process: 3787
% Current number of ordered equations: 0
% Current number of rules: 550
% New rule produced :
% [739]
% composition(converse(sk1),complement(one)) join complement(converse(sk1)) ->
% complement(converse(sk1))
% Current number of equations to process: 3846
% Current number of ordered equations: 0
% Current number of rules: 551
% New rule produced :
% [740]
% sk1 join complement(composition(converse(sk1),complement(one))) ->
% complement(composition(converse(sk1),complement(one)))
% Current number of equations to process: 4240
% Current number of ordered equations: 0
% Current number of rules: 552
% New rule produced :
% [741]
% one join complement(composition(converse(sk1),complement(converse(complement(sk1)))))
% -> top
% Current number of equations to process: 4331
% Current number of ordered equations: 1
% Current number of rules: 553
% New rule produced :
% [742]
% converse(complement(sk1)) join complement(composition(converse(sk1),complement(one)))
% -> top
% Current number of equations to process: 4331
% Current number of ordered equations: 0
% Current number of rules: 554
% New rule produced :
% [743]
% complement(converse(sk1)) join complement(composition(converse(sk1),complement(one)))
% -> top
% Current number of equations to process: 4330
% Current number of ordered equations: 0
% Current number of rules: 555
% New rule produced :
% [744]
% sk1 join complement(composition(A,complement(converse(A)))) ->
% complement(composition(A,complement(converse(A))))
% Current number of equations to process: 4696
% Current number of ordered equations: 0
% Current number of rules: 556
% New rule produced :
% [745]
% converse(complement(sk1)) join complement(composition(A,complement(converse(A))))
% -> top
% Current number of equations to process: 4705
% Current number of ordered equations: 0
% Current number of rules: 557
% New rule produced :
% [746]
% complement(converse(sk1)) join complement(composition(A,complement(converse(A))))
% -> top
% Current number of equations to process: 4704
% Current number of ordered equations: 0
% Current number of rules: 558
% New rule produced :
% [747] complement(converse(composition(sk1,converse(A)))) join A -> top
% Current number of equations to process: 1877
% Current number of ordered equations: 0
% Current number of rules: 559
% New rule produced :
% [748] one join converse(complement(one join converse(A))) join A -> top
% Current number of equations to process: 1876
% Current number of ordered equations: 0
% Current number of rules: 560
% New rule produced :
% [749]
% converse(complement(composition(A,converse(zero)))) join converse(A) -> top
% Current number of equations to process: 2521
% Current number of ordered equations: 0
% Current number of rules: 561
% New rule produced :
% [750] one join converse(complement(composition(converse(sk1),sk1))) -> top
% Current number of equations to process: 2779
% Current number of ordered equations: 0
% Current number of rules: 562
% New rule produced :
% [751]
% complement(composition(top,complement(composition(top,complement(A))))) join A
% -> top
% Current number of equations to process: 3483
% Current number of ordered equations: 0
% Current number of rules: 563
% New rule produced :
% [752] composition(complement(composition(complement(A),top)),top) join A -> A
% Current number of equations to process: 2778
% Current number of ordered equations: 0
% Current number of rules: 564
% New rule produced :
% [753]
% converse(composition(composition(A,top),top)) -> converse(composition(A,top))
% Current number of equations to process: 3283
% Current number of ordered equations: 0
% Current number of rules: 565
% New rule produced :
% [754] composition(composition(A,top),top) -> composition(A,top)
% Rule
% [753]
% converse(composition(composition(A,top),top)) -> converse(composition(A,top))
% collapsed.
% Current number of equations to process: 3338
% Current number of ordered equations: 0
% Current number of rules: 565
% New rule produced :
% [755] composition(B,complement(composition(top,complement(A)))) join A -> A
% Rule
% [337] composition(top,complement(composition(top,complement(A)))) join A -> A
% collapsed.
% Current number of equations to process: 3891
% Current number of ordered equations: 0
% Current number of rules: 565
% New rule produced :
% [756]
% composition(B,complement(composition(top,A))) join complement(A) ->
% complement(A)
% Rule
% [338]
% composition(top,complement(composition(top,A))) join complement(A) ->
% complement(A) collapsed.
% Rule
% [738]
% composition(converse(sk1),complement(composition(top,A))) join complement(A)
% -> complement(A) collapsed.
% Current number of equations to process: 3929
% Current number of ordered equations: 0
% Current number of rules: 564
% New rule produced :
% [757]
% converse(composition(top,A)) join composition(complement(converse(A)),top) ->
% top
% Current number of equations to process: 4056
% Current number of ordered equations: 0
% Current number of rules: 565
% New rule produced :
% [758]
% complement(composition(A,complement(composition(top,complement(B))))) join B
% -> top
% Rule
% [751]
% complement(composition(top,complement(composition(top,complement(A))))) join A
% -> top collapsed.
% Current number of equations to process: 4055
% Current number of ordered equations: 0
% Current number of rules: 565
% New rule produced :
% [759]
% complement(composition(A,complement(composition(top,B)))) join complement(B)
% -> top
% Rule
% [366]
% complement(composition(top,complement(composition(top,A)))) join complement(A)
% -> top collapsed.
% Current number of equations to process: 4054
% Current number of ordered equations: 0
% Current number of rules: 565
% New rule produced :
% [760] composition(top,A) join composition(complement(A),top) -> top
% Current number of equations to process: 1403
% Current number of ordered equations: 1
% Current number of rules: 566
% New rule produced :
% [761] composition(composition(top,A),top) join complement(A) -> top
% Current number of equations to process: 1403
% Current number of ordered equations: 0
% Current number of rules: 567
% New rule produced : [762] composition(sk1,sk1) join complement(sk1) -> top
% Current number of equations to process: 1404
% Current number of ordered equations: 0
% Current number of rules: 568
% New rule produced :
% [763] composition(top,complement(A)) join composition(A,top) -> top
% Current number of equations to process: 1440
% Current number of ordered equations: 1
% Current number of rules: 569
% New rule produced :
% [764] composition(composition(top,complement(A)),top) join A -> top
% Current number of equations to process: 1440
% Current number of ordered equations: 0
% Current number of rules: 570
% New rule produced :
% [765] composition(top,complement(composition(zero,A))) join A -> top
% Current number of equations to process: 1594
% Current number of ordered equations: 0
% Current number of rules: 571
% New rule produced :
% [766] complement(composition(top,complement(A))) join A -> A
% Current number of equations to process: 1641
% Current number of ordered equations: 0
% Current number of rules: 572
% New rule produced :
% [767] composition(top,complement(composition(A,sk1))) join A -> top
% Current number of equations to process: 1648
% Current number of ordered equations: 0
% Current number of rules: 573
% New rule produced :
% [768] one join complement(composition(top,complement(sk1))) -> one
% Current number of equations to process: 1731
% Current number of ordered equations: 0
% Current number of rules: 574
% New rule produced :
% [769]
% one join composition(top,complement(composition(converse(sk1),sk1))) -> top
% Current number of equations to process: 1740
% Current number of ordered equations: 0
% Current number of rules: 575
% New rule produced :
% [770] complement(composition(top,complement(A)) join B) join A -> A
% Current number of equations to process: 1739
% Current number of ordered equations: 0
% Current number of rules: 576
% New rule produced :
% [771]
% composition(composition(top,complement(sk1)),A) join A -> composition(top,A)
% Current number of equations to process: 1738
% Current number of ordered equations: 0
% Current number of rules: 577
% New rule produced :
% [772]
% composition(A,composition(top,complement(sk1))) join A -> composition(A,top)
% Current number of equations to process: 1737
% Current number of ordered equations: 0
% Current number of rules: 578
% New rule produced :
% [773] one join complement(composition(top,complement(sk1)) join A) -> one
% Current number of equations to process: 1736
% Current number of ordered equations: 0
% Current number of rules: 579
% New rule produced :
% [774]
% converse(complement(sk1)) join composition(top,sk1) ->
% sk1 join converse(complement(sk1))
% Current number of equations to process: 1793
% Current number of ordered equations: 0
% Current number of rules: 580
% New rule produced :
% [775] converse(composition(converse(zero),complement(sk1))) -> zero
% Current number of equations to process: 1794
% Current number of ordered equations: 0
% Current number of rules: 581
% New rule produced :
% [776] converse(composition(top,A)) join complement(converse(A)) -> top
% Current number of equations to process: 1905
% Current number of ordered equations: 0
% Current number of rules: 582
% New rule produced :
% [777]
% composition(composition(A,complement(sk1)),top) join A -> composition(A,top)
% Current number of equations to process: 2254
% Current number of ordered equations: 0
% Current number of rules: 583
% New rule produced :
% [778]
% composition(composition(A,top),composition(top,B)) ->
% composition(A,composition(top,B))
% Current number of equations to process: 2728
% Current number of ordered equations: 0
% Current number of rules: 584
% New rule produced :
% [779]
% converse(A) join complement(converse(composition(complement(A),top))) ->
% converse(A)
% Current number of equations to process: 2726
% Current number of ordered equations: 0
% Current number of rules: 585
% New rule produced :
% [780]
% complement(converse(composition(complement(converse(A)),top))) join A -> A
% Current number of equations to process: 2998
% Current number of ordered equations: 0
% Current number of rules: 586
% New rule produced :
% [781]
% one join complement(converse(composition(complement(converse(sk1)),top))) ->
% one
% Current number of equations to process: 3081
% Current number of ordered equations: 0
% Current number of rules: 587
% New rule produced :
% [782]
% composition(composition(top,A),B) join complement(composition(A,B)) -> top
% Current number of equations to process: 3088
% Current number of ordered equations: 0
% Current number of rules: 588
% New rule produced :
% [783]
% composition(top,A) join complement(complement(A) join B) ->
% composition(top,A)
% Current number of equations to process: 3087
% Current number of ordered equations: 0
% Current number of rules: 589
% New rule produced :
% [784]
% composition(top,complement(composition(A,B))) join composition(A,top) -> top
% Current number of equations to process: 3084
% Current number of ordered equations: 0
% Current number of rules: 590
% New rule produced :
% [785] one join composition(top,complement(sk1 join A)) join A -> top
% Current number of equations to process: 3083
% Current number of ordered equations: 0
% Current number of rules: 591
% New rule produced :
% [786]
% converse(A) join composition(top,complement(converse(composition(sk1,A)))) ->
% top
% Current number of equations to process: 3082
% Current number of ordered equations: 0
% Current number of rules: 592
% New rule produced :
% [787]
% composition(top,complement(converse(composition(converse(A),sk1)))) join A ->
% top
% Current number of equations to process: 3081
% Current number of ordered equations: 0
% Current number of rules: 593
% New rule produced :
% [788]
% one join converse(composition(converse(sk1),complement(sk1))) ->
% one join composition(top,sk1)
% Current number of equations to process: 3073
% Current number of ordered equations: 0
% Current number of rules: 594
% New rule produced :
% [789]
% converse(complement(converse(A))) join composition(composition(top,A),top) ->
% top
% Current number of equations to process: 3072
% Current number of ordered equations: 0
% Current number of rules: 595
% New rule produced :
% [790]
% converse(composition(complement(converse(A)),top)) join composition(top,A) ->
% top
% Current number of equations to process: 3071
% Current number of ordered equations: 0
% Current number of rules: 596
% New rule produced :
% [791]
% composition(top,A) join complement(converse(complement(converse(A)))) ->
% composition(top,A)
% Current number of equations to process: 3070
% Current number of ordered equations: 0
% Current number of rules: 597
% New rule produced :
% [792]
% converse(composition(converse(A),complement(converse(sk1)))) join A ->
% composition(top,A)
% Current number of equations to process: 3069
% Current number of ordered equations: 0
% Current number of rules: 598
% New rule produced :
% [793]
% converse(composition(complement(converse(sk1)),converse(A))) join A ->
% composition(A,top)
% Current number of equations to process: 3068
% Current number of ordered equations: 0
% Current number of rules: 599
% New rule produced :
% [794]
% converse(composition(top,A)) join converse(composition(complement(A),top)) ->
% top
% Current number of equations to process: 3066
% Current number of ordered equations: 0
% Current number of rules: 600
% New rule produced :
% [795]
% converse(composition(complement(A),top)) join converse(composition(A,top)) ->
% top
% Current number of equations to process: 3065
% Current number of ordered equations: 0
% Current number of rules: 601
% New rule produced :
% [796]
% converse(composition(complement(composition(A,sk1)),top)) join converse(A) ->
% top
% Current number of equations to process: 3064
% Current number of ordered equations: 0
% Current number of rules: 602
% New rule produced :
% [797]
% converse(composition(complement(composition(sk1,A)),top)) join converse(A) ->
% top
% Current number of equations to process: 3062
% Current number of ordered equations: 0
% Current number of rules: 603
% New rule produced :
% [798]
% converse(composition(complement(composition(converse(A),sk1)),top)) join A ->
% top
% Current number of equations to process: 3061
% Current number of ordered equations: 0
% Current number of rules: 604
% New rule produced :
% [799]
% converse(composition(complement(converse(A)),top)) join composition(A,top) ->
% top
% Current number of equations to process: 3060
% Current number of ordered equations: 0
% Current number of rules: 605
% New rule produced :
% [800]
% converse(composition(complement(converse(composition(sk1,A))),top)) join A ->
% top
% Current number of equations to process: 3058
% Current number of ordered equations: 0
% Current number of rules: 606
% New rule produced :
% [801]
% converse(composition(complement(converse(composition(zero,A))),top)) join A
% -> top
% Current number of equations to process: 3056
% Current number of ordered equations: 0
% Current number of rules: 607
% New rule produced :
% [802]
% converse(composition(complement(converse(composition(A,sk1))),top)) join A ->
% top
% Current number of equations to process: 3055
% Current number of ordered equations: 0
% Current number of rules: 608
% New rule produced :
% [803]
% composition(composition(top,complement(converse(sk1))),A) join A ->
% composition(top,A)
% Current number of equations to process: 3243
% Current number of ordered equations: 0
% Current number of rules: 609
% New rule produced :
% [804]
% converse(complement(converse(A))) join complement(composition(top,A)) ->
% converse(complement(converse(A)))
% Current number of equations to process: 3737
% Current number of ordered equations: 0
% Current number of rules: 610
% New rule produced :
% [805]
% converse(composition(A,complement(converse(sk1)))) join converse(A) ->
% converse(composition(A,top))
% Current number of equations to process: 3736
% Current number of ordered equations: 0
% Current number of rules: 611
% New rule produced :
% [806]
% composition(top,complement(composition(complement(converse(sk1)),top))) ->
% complement(composition(complement(converse(sk1)),top))
% Current number of equations to process: 3735
% Current number of ordered equations: 0
% Current number of rules: 612
% New rule produced :
% [807]
% one join converse(composition(complement(converse(sk1)),sk1)) ->
% one join converse(composition(top,sk1))
% Current number of equations to process: 3734
% Current number of ordered equations: 0
% Current number of rules: 613
% New rule produced :
% [808]
% one join complement(composition(complement(converse(sk1)),sk1)) ->
% one join complement(composition(top,sk1))
% Current number of equations to process: 3733
% Current number of ordered equations: 0
% Current number of rules: 614
% New rule produced :
% [809] converse(composition(top,complement(converse(A)))) join A -> top
% Current number of equations to process: 3823
% Current number of ordered equations: 0
% Current number of rules: 615
% New rule produced :
% [810] one join converse(composition(top,complement(converse(sk1)))) -> top
% Current number of equations to process: 3883
% Current number of ordered equations: 0
% Current number of rules: 616
% New rule produced :
% [811]
% converse(composition(top,A)) join complement(composition(sk1,converse(A))) ->
% top
% Current number of equations to process: 3895
% Current number of ordered equations: 0
% Current number of rules: 617
% New rule produced :
% [812]
% converse(composition(top,complement(converse(composition(sk1,A))))) join A ->
% top
% Current number of equations to process: 3894
% Current number of ordered equations: 0
% Current number of rules: 618
% New rule produced :
% [813]
% converse(composition(top,complement(composition(A,sk1)))) join converse(A) ->
% top
% Current number of equations to process: 3937
% Current number of ordered equations: 0
% Current number of rules: 619
% New rule produced :
% [814]
% complement(converse(composition(top,A))) join complement(converse(A)) ->
% complement(converse(A))
% Current number of equations to process: 3970
% Current number of ordered equations: 0
% Current number of rules: 620
% New rule produced :
% [815]
% converse(composition(top,A)) join composition(sk1,converse(A)) ->
% converse(composition(top,A))
% Current number of equations to process: 3993
% Current number of ordered equations: 0
% Current number of rules: 621
% New rule produced :
% [816]
% converse(composition(top,A)) join composition(zero,converse(A)) ->
% converse(composition(top,A))
% Current number of equations to process: 3992
% Current number of ordered equations: 0
% Current number of rules: 622
% New rule produced :
% [817]
% converse(composition(top,A)) join composition(top,complement(converse(A))) ->
% top
% Current number of equations to process: 4041
% Current number of ordered equations: 0
% Current number of rules: 623
% New rule produced :
% [818]
% converse(composition(top,complement(converse(A)))) join composition(top,A) ->
% top
% Current number of equations to process: 4040
% Current number of ordered equations: 0
% Current number of rules: 624
% New rule produced :
% [819]
% converse(composition(top,composition(complement(A),top))) join converse(A) ->
% top
% Current number of equations to process: 4039
% Current number of ordered equations: 0
% Current number of rules: 625
% New rule produced :
% [820]
% converse(composition(top,composition(complement(converse(A)),top))) join A ->
% top
% Current number of equations to process: 4038
% Current number of ordered equations: 0
% Current number of rules: 626
% New rule produced :
% [821]
% converse(composition(top,A)) join complement(composition(converse(A),B)) ->
% top
% Current number of equations to process: 4280
% Current number of ordered equations: 0
% Current number of rules: 627
% New rule produced :
% [822]
% composition(A,top) join complement(converse(composition(B,converse(A)))) ->
% top
% Current number of equations to process: 4314
% Current number of ordered equations: 0
% Current number of rules: 628
% New rule produced :
% [823] composition(A,converse(composition(sk1,sk1))) join A -> A
% Current number of equations to process: 4680
% Current number of ordered equations: 0
% Current number of rules: 629
% New rule produced :
% [824] one join converse(composition(sk1,composition(sk1,sk1))) -> one
% Current number of equations to process: 4693
% Current number of ordered equations: 0
% Current number of rules: 630
% New rule produced :
% [825] composition(sk1,top) join complement(one) -> sk1 join complement(one)
% The conjecture has been reduced.
% Conjecture is now:
% Trivial
%
% Current number of equations to process: 4764
% Current number of ordered equations: 0
% Current number of rules: 631
% The current conjecture is true and the solution is the identity
% % SZS output start Refutation
%
% The following 17 rules have been used:
% [1]
% converse(converse(A)) -> A; trace = in the starting set
% [2] sk1 join one -> one; trace = in the starting set
% [4] complement(A) join A -> top; trace = in the starting set
% [6] converse(A join B) -> converse(A) join converse(B); trace = in the starting set
% [7] composition(converse(B),converse(A)) -> converse(composition(A,B)); trace = in the starting set
% [10] meet(A,B) -> complement(complement(A) join complement(B)); trace = in the starting set
% [14] complement(complement(A) join complement(B)) join complement(complement(A) join B)
% -> A; trace = in the starting set
% [16] one join complement(sk1) -> top join one; trace = Cp of 4 and 2
% [53] complement(complement(A)) -> A; trace = Cp of 14 and 4
% [55] converse(composition(C,A join B)) ->
% converse(composition(C,A)) join converse(composition(C,B)); trace = Cp of 7 and 6
% [60] complement(complement(A) join B) join B <->
% complement(complement(B) join A) join A; trace = Self cp of 14
% [66] zero join complement(complement(sk1) join complement(one)) -> sk1; trace = Cp of 16 and 14
% [159] composition(A,B join C) -> composition(A,B) join composition(A,C); trace = Cp of 55 and 1
% [180] sk1 join sk1 join complement(one) -> sk1 join complement(one); trace = Cp of 66 and 60
% [190] one join converse(sk1) -> one; trace = Cp of 6 and 2
% [383] composition(A,converse(sk1)) join A -> A; trace = Cp of 190 and 159
% [825] composition(sk1,top) join complement(one) -> sk1 join complement(one); trace = Cp of 383 and 180
% % SZS output end Refutation
% All conjectures have been proven
%
% Execution time: 205.890000 sec
% res : bool = true
% time is now off
%
% status : string = "unsatisfiable"
% % SZS status Unsatisfiable
% CiME interrupted
%
% EOF
%------------------------------------------------------------------------------