TSTP Solution File: REL050-3 by CiME---2.01
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : REL050-3 : TPTP v6.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n096.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 00:31:36 EDT 2014
% Result : Timeout 300.03s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : REL050-3 : TPTP v6.0.0. Released v4.0.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n096.star.cs.uiowa.edu
% % Model : x86_64 x86_64
% % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory : 32286.75MB
% % OS : Linux 2.6.32-431.11.2.el6.x86_64
% % CPULimit : 300
% % DateTime : Fri Jun 6 03:31:18 CDT 2014
% % CPUTime : 300.03
% Processing problem /tmp/CiME_21638_n096.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));
% meet(composition(A,B),C) join composition(meet(A,composition(C,converse(B))),meet(B,composition(converse(A),C))) = composition(meet(A,composition(C,converse(B))),meet(B,composition(converse(A),C)));
% meet(composition(A,B),C) join meet(composition(A,meet(B,composition(converse(A),C))),C) = meet(composition(A,meet(B,composition(converse(A),C))),C);
% meet(composition(A,B),C) join meet(composition(meet(A,composition(C,converse(B))),B),C) = meet(composition(meet(A,composition(C,converse(B))),B),C);
% ";
%
% 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 " complement(composition(sk1,top)) = composition(complement(composition(sk1,top)),top);"
% ;
% (*
% let Red_Axioms = normalize_equations Defining_rules Axioms;
%
% let Red_Conjectures = normalize_equations Defining_rules Conjectures;
% *)
% #time on;
%
% let res = prove_conj_by_ordered_completion o Axioms Conjectures;
%
% #time off;
%
%
% let status = if res then "unsatisfiable" else "satisfiable";
% #quit;
% Verbose level is now 1
%
% F : signature = <signature>
% X : variable_set = <variable set>
%
% Axioms : (F,X) equations = { composition(composition(A,B),C) =
% composition(A,composition(B,C)),
% A =
% complement(complement(A) join complement(B)) join
% complement(complement(A) join B),
% meet(A,B) =
% complement(complement(A) join complement(B)),
% composition(A,one) = A,
% composition(A join B,C) =
% composition(A,C) join composition(B,C),
% converse(converse(A)) = A,
% converse(A join B) =
% converse(A) join converse(B),
% converse(composition(A,B)) =
% composition(converse(B),converse(A)),
% composition(converse(A),complement(composition(A,B))) join
% complement(B) = complement(B),
% top = complement(A) join A,
% zero = meet(A,complement(A)),
% composition(meet(A,composition(C,converse(B))),
% meet(B,composition(converse(A),C))) join
% meet(composition(A,B),C) =
% composition(meet(A,composition(C,converse(B))),
% meet(B,composition(converse(A),C))),
% meet(composition(A,meet(B,composition(converse(A),C))),C) join
% meet(composition(A,B),C) =
% meet(composition(A,meet(B,composition(converse(A),C))),C),
% meet(composition(meet(A,composition(C,converse(B))),B),C) join
% meet(composition(A,B),C) =
% meet(composition(meet(A,composition(C,converse(B))),B),C) }
% (14 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 = { complement(composition(sk1,top)) =
% composition(complement(composition(sk1,top)),top) }
% (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: 14
% Current number of rules: 1
% New rule produced : [2] composition(A,one) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 13
% Current number of rules: 2
% New rule produced : [3] complement(A) join A -> top
% Current number of equations to process: 0
% Current number of ordered equations: 12
% Current number of rules: 3
% New rule produced : [4] meet(A,complement(A)) -> zero
% Current number of equations to process: 0
% Current number of ordered equations: 11
% Current number of rules: 4
% New rule produced : [5] converse(A join B) -> converse(A) join converse(B)
% Current number of equations to process: 0
% Current number of ordered equations: 10
% Current number of rules: 5
% New rule produced :
% [6] composition(converse(B),converse(A)) -> converse(composition(A,B))
% Current number of equations to process: 0
% Current number of ordered equations: 9
% Current number of rules: 6
% New rule produced :
% [7] composition(A,composition(B,C)) <-> composition(composition(A,B),C)
% Current number of equations to process: 23
% Current number of ordered equations: 14
% Current number of rules: 7
% New rule produced :
% [8] composition(composition(A,B),C) <-> composition(A,composition(B,C))
% Current number of equations to process: 23
% Current number of ordered equations: 13
% Current number of rules: 8
% New rule produced :
% [9] meet(A,B) -> complement(complement(A) join complement(B))
% Rule [4] meet(A,complement(A)) -> zero collapsed.
% Current number of equations to process: 27
% Current number of ordered equations: 9
% Current number of rules: 8
% New rule produced : [10] complement(top) -> zero
% Current number of equations to process: 23
% Current number of ordered equations: 12
% Current number of rules: 9
% New rule produced :
% [11] composition(A join B,C) -> composition(A,C) join composition(B,C)
% Current number of equations to process: 23
% Current number of ordered equations: 11
% Current number of rules: 10
% New rule produced :
% [12]
% composition(converse(A),complement(composition(A,B))) join complement(B) ->
% complement(B)
% Current number of equations to process: 23
% Current number of ordered equations: 10
% Current number of rules: 11
% New rule produced :
% [13]
% complement(complement(A) join complement(B)) join complement(complement(A) join B)
% -> A
% Current number of equations to process: 23
% Current number of ordered equations: 9
% Current number of rules: 12
% New rule produced :
% [14]
% complement(complement(composition(complement(complement(composition(C,
% converse(B))) join
% complement(A)),B)) join
% complement(C)) join complement(complement(composition(A,B)) join
% complement(C)) ->
% complement(complement(composition(complement(complement(composition(C,
% converse(B))) join
% complement(A)),B)) join
% complement(C))
% Current number of equations to process: 23
% Current number of ordered equations: 8
% Current number of rules: 13
% New rule produced :
% [15]
% complement(complement(composition(A,complement(complement(composition(
% converse(A),C)) join
% complement(B)))) join
% complement(C)) join complement(complement(composition(A,B)) join
% complement(C)) ->
% complement(complement(composition(A,complement(complement(composition(
% converse(A),C)) join
% complement(B)))) join
% complement(C))
% Current number of equations to process: 23
% Current number of ordered equations: 7
% Current number of rules: 14
% New rule produced :
% [16]
% composition(complement(complement(composition(C,converse(B))) join complement(A)),
% complement(complement(composition(converse(A),C)) join complement(B))) join
% complement(complement(composition(A,B)) join complement(C)) ->
% composition(complement(complement(composition(C,converse(B))) join complement(A)),
% complement(complement(composition(converse(A),C)) join complement(B)))
% Current number of equations to process: 23
% Current number of ordered equations: 6
% Current number of rules: 15
% New rule produced : [17] top join complement(complement(A)) -> top join A
% Current number of equations to process: 23
% Current number of ordered equations: 5
% Current number of rules: 16
% New rule produced :
% [18] converse(complement(A)) join converse(A) -> converse(top)
% Current number of equations to process: 23
% Current number of ordered equations: 4
% Current number of rules: 17
% New rule produced :
% [19] converse(composition(B,converse(A))) <-> composition(A,converse(B))
% Current number of equations to process: 23
% Current number of ordered equations: 3
% Current number of rules: 18
% New rule produced :
% [20] converse(composition(converse(B),A)) <-> composition(converse(A),B)
% Current number of equations to process: 23
% Current number of ordered equations: 2
% Current number of rules: 19
% New rule produced :
% [21] composition(A,converse(B)) <-> converse(composition(B,converse(A)))
% Current number of equations to process: 23
% Current number of ordered equations: 1
% Current number of rules: 20
% New rule produced :
% [22] composition(converse(A),B) <-> converse(composition(converse(B),A))
% Current number of equations to process: 23
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [23] composition(A,composition(one,B)) -> composition(A,B)
% Current number of equations to process: 25
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced : [24] zero join top -> top
% Current number of equations to process: 31
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [25] composition(complement(B),A) join composition(B,A) -> composition(top,A)
% Current number of equations to process: 43
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [26] top join composition(converse(A),complement(composition(A,B))) -> top
% Current number of equations to process: 42
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [27] top join complement(A join B) join B -> top join complement(A)
% Current number of equations to process: 41
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [28]
% composition(A,converse(composition(B,C))) <->
% composition(composition(A,converse(C)),converse(B))
% Current number of equations to process: 40
% Current number of ordered equations: 1
% Current number of rules: 27
% New rule produced :
% [29]
% composition(composition(A,converse(C)),converse(B)) <->
% composition(A,converse(composition(B,C)))
% Current number of equations to process: 40
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [30]
% composition(converse(B),composition(converse(A),C)) <->
% composition(converse(composition(A,B)),C)
% Current number of equations to process: 39
% Current number of ordered equations: 1
% Current number of rules: 29
% New rule produced :
% [31]
% composition(converse(composition(A,B)),C) <->
% composition(converse(B),composition(converse(A),C))
% Current number of equations to process: 39
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [32] top join complement(complement(A join B) join B) -> top join A
% Current number of equations to process: 36
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [33]
% composition(A,composition(composition(B,C),V_3)) <->
% composition(composition(A,B),composition(C,V_3))
% Current number of equations to process: 35
% Current number of ordered equations: 1
% Current number of rules: 32
% New rule produced :
% [34]
% composition(composition(A,B),composition(C,V_3)) <->
% composition(A,composition(composition(B,C),V_3))
% Current number of equations to process: 35
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [35]
% composition(A,composition(composition(B,C),V_3)) <->
% composition(composition(composition(A,B),C),V_3)
% Current number of equations to process: 32
% Current number of ordered equations: 5
% Current number of rules: 34
% New rule produced :
% [36]
% composition(A,composition(B,composition(C,V_3))) <->
% composition(composition(A,composition(B,C)),V_3)
% Current number of equations to process: 32
% Current number of ordered equations: 4
% Current number of rules: 35
% New rule produced :
% [37]
% composition(A,composition(B,composition(C,V_3))) <->
% composition(composition(composition(A,B),C),V_3)
% Current number of equations to process: 32
% Current number of ordered equations: 3
% Current number of rules: 36
% New rule produced :
% [38]
% composition(composition(A,composition(B,C)),V_3) <->
% composition(A,composition(B,composition(C,V_3)))
% Current number of equations to process: 32
% Current number of ordered equations: 2
% Current number of rules: 37
% New rule produced :
% [39]
% composition(composition(composition(A,B),C),V_3) <->
% composition(A,composition(composition(B,C),V_3))
% Current number of equations to process: 32
% Current number of ordered equations: 1
% Current number of rules: 38
% New rule produced :
% [40]
% composition(composition(composition(A,B),C),V_3) <->
% composition(A,composition(B,composition(C,V_3)))
% Current number of equations to process: 32
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [41]
% composition(composition(A,composition(B,C)),V_3) <->
% composition(composition(A,B),composition(C,V_3))
% Current number of equations to process: 31
% Current number of ordered equations: 1
% Current number of rules: 40
% New rule produced :
% [42]
% composition(composition(A,B),composition(C,V_3)) <->
% composition(composition(A,composition(B,C)),V_3)
% Current number of equations to process: 31
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [43]
% composition(converse(A),complement(A)) join complement(one) ->
% complement(one)
% Current number of equations to process: 39
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [44]
% zero join composition(converse(A),complement(composition(A,top))) -> zero
% Current number of equations to process: 44
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [45] zero join complement(complement(A) join complement(A)) -> A
% Current number of equations to process: 72
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [46] top join complement(complement(A) join B) -> top join complement(B)
% Rule [32] top join complement(complement(A join B) join B) -> top join A
% collapsed.
% Current number of equations to process: 71
% Current number of ordered equations: 1
% Current number of rules: 44
% New rule produced : [47] top join A <-> top join complement(B)
% Rule [17] top join complement(complement(A)) -> top join A collapsed.
% Rule
% [26] top join composition(converse(A),complement(composition(A,B))) -> top
% collapsed.
% Rule [27] top join complement(A join B) join B -> top join complement(A)
% collapsed.
% Rule [46] top join complement(complement(A) join B) -> top join complement(B)
% collapsed.
% Current number of equations to process: 72
% Current number of ordered equations: 2
% Current number of rules: 41
% Rule [47] top join A <-> top join complement(B) is composed into [47]
% top join A
% -> top
% New rule produced : [48] top join complement(B) -> top
% Current number of equations to process: 71
% Current number of ordered equations: 1
% Current number of rules: 42
% New rule produced :
% [49] zero join complement(complement(complement(A)) join A) -> complement(A)
% Current number of equations to process: 70
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced : [50] complement(complement(A)) -> A
% Rule
% [49] zero join complement(complement(complement(A)) join A) -> complement(A)
% collapsed.
% Current number of equations to process: 69
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced : [51] zero join complement(A join A) -> complement(A)
% Rule [45] zero join complement(complement(A) join complement(A)) -> A
% collapsed.
% Current number of equations to process: 68
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [52]
% converse(composition(C,A join B)) ->
% converse(composition(C,A)) join converse(composition(C,B))
% Current number of equations to process: 66
% Current number of ordered equations: 1
% Current number of rules: 44
% New rule produced :
% [53]
% composition(converse(A),converse(B) join converse(C)) ->
% converse(composition(B,A)) join converse(composition(C,A))
% Current number of equations to process: 66
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [54]
% composition(A,complement(composition(converse(A),B))) join complement(B) ->
% complement(B)
% Current number of equations to process: 65
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [55]
% converse(complement(A join B)) join converse(A) join converse(B) ->
% converse(top)
% Current number of equations to process: 61
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced : [56] zero join complement(zero join complement(A)) -> A
% Current number of equations to process: 75
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [57]
% complement(complement(A) join B) join B <->
% complement(complement(B) join A) join A
% Current number of equations to process: 74
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [58] complement(zero join complement(A)) join complement(zero join A) -> top
% Current number of equations to process: 72
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [59]
% composition(A,composition(B,C) join composition(V_3,C)) <->
% composition(composition(A,B join V_3),C)
% Current number of equations to process: 82
% Current number of ordered equations: 1
% Current number of rules: 51
% New rule produced :
% [60]
% composition(composition(A,B join V_3),C) <->
% composition(A,composition(B,C) join composition(V_3,C))
% Current number of equations to process: 82
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [61]
% composition(converse(B),complement(composition(B,complement(A) join C))) join A
% -> A
% Current number of equations to process: 76
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [62]
% complement(composition(converse(B),complement(composition(B,A)))) join
% complement(A) -> top
% Current number of equations to process: 77
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [63]
% converse(composition(converse(B),complement(composition(B,A)))) join
% converse(complement(A)) -> converse(complement(A))
% Current number of equations to process: 72
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [64] zero join complement(complement(A join B) join complement(B)) -> B
% Current number of equations to process: 70
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [65]
% zero join complement(complement(complement(complement(A) join B) join B) join
% complement(A)) -> A
% Current number of equations to process: 65
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced : [66] zero join B -> B
% Rule [24] zero join top -> top collapsed.
% Rule
% [44]
% zero join composition(converse(A),complement(composition(A,top))) -> zero
% collapsed.
% Rule [51] zero join complement(A join A) -> complement(A) collapsed.
% Rule [56] zero join complement(zero join complement(A)) -> A collapsed.
% Rule
% [58] complement(zero join complement(A)) join complement(zero join A) -> top
% collapsed.
% Rule [64] zero join complement(complement(A join B) join complement(B)) -> B
% collapsed.
% Rule
% [65]
% zero join complement(complement(complement(complement(A) join B) join B) join
% complement(A)) -> A collapsed.
% Current number of equations to process: 68
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced : [67] complement(A join A) -> complement(A)
% Current number of equations to process: 67
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [68] composition(converse(A),complement(composition(A,top))) -> zero
% Current number of equations to process: 66
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [69] complement(complement(A join B) join complement(B)) -> B
% Current number of equations to process: 65
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [70]
% complement(complement(complement(complement(A) join B) join B) join complement(A))
% -> A
% Current number of equations to process: 64
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced :
% [71]
% composition(converse(composition(A,B)),complement(composition(A,composition(B,C)))) join
% complement(C) -> complement(C)
% Current number of equations to process: 62
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [72]
% converse(complement(complement(A) join complement(B))) join converse(
% complement(
% complement(A) join B))
% -> converse(A)
% Current number of equations to process: 60
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [73]
% composition(complement(B join C),A) join composition(B,A) join composition(C,A)
% -> composition(top,A)
% Current number of equations to process: 57
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [74]
% composition(converse(A),complement(composition(composition(A,B),C))) join
% complement(composition(B,C)) -> complement(composition(B,C))
% Current number of equations to process: 51
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [75]
% composition(composition(converse(C),complement(composition(C,A))),B) join
% composition(complement(A),B) -> composition(complement(A),B)
% Current number of equations to process: 50
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [76] complement(complement(complement(A) join B) join C) join A join C -> top
% Current number of equations to process: 49
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [77]
% composition(A,composition(B,C)) join composition(V_3,composition(B,C)) <->
% composition(composition(A,B),C) join composition(composition(V_3,B),C)
% Current number of equations to process: 47
% Current number of ordered equations: 1
% Current number of rules: 62
% New rule produced :
% [78]
% composition(composition(A,B),C) join composition(composition(V_3,B),C) <->
% composition(A,composition(B,C)) join composition(V_3,composition(B,C))
% Current number of equations to process: 47
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [79]
% complement(complement(complement(C) join B) join complement(A)) join C <->
% complement(complement(complement(A) join B) join complement(C)) join A
% Current number of equations to process: 44
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [80]
% complement(composition(converse(B),complement(composition(B,A))) join C) join
% complement(A) join C -> top
% Current number of equations to process: 42
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [81]
% complement(complement(complement(A) join B) join complement(A) join complement(B)) join
% complement(A) -> complement(A) join B
% Current number of equations to process: 41
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [82]
% complement(complement(complement(A) join complement(B)) join complement(A) join B) join
% complement(A) -> complement(A) join complement(B)
% Current number of equations to process: 37
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [83]
% composition(complement(complement(A) join complement(C)),B) join composition(
% complement(
% complement(A) join C),B)
% -> composition(A,B)
% Current number of equations to process: 36
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [84]
% complement(complement(complement(complement(B) join C) join A join C) join
% complement(B)) -> B
% Current number of equations to process: 28
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced :
% [85]
% complement(complement(composition(converse(A),complement(composition(A,B))) join C) join
% complement(B)) join complement(complement(B) join C) -> B
% Current number of equations to process: 22
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [86] complement(complement(composition(A,B)) join complement(C)) join C -> C
% Current number of equations to process: 67
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [87]
% composition(complement(complement(composition(top,converse(A))) join
% complement(B)),A) join composition(B,A) ->
% composition(complement(complement(composition(top,converse(A))) join
% complement(B)),A)
% Current number of equations to process: 69
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [88]
% composition(A,complement(complement(composition(converse(A),top)) join
% complement(B))) join composition(A,B) ->
% composition(A,complement(complement(composition(converse(A),top)) join
% complement(B)))
% Current number of equations to process: 110
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [89]
% complement(complement(complement(complement(A) join complement(B)) join C) join
% complement(complement(A) join B)) join complement(A join C) ->
% complement(A) join B
% Current number of equations to process: 111
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [90]
% complement(complement(complement(complement(A) join B) join C) join complement(
% complement(A) join
% complement(B))) join
% complement(A join C) -> complement(A) join complement(B)
% Current number of equations to process: 110
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [91]
% complement(composition(B,C) join complement(A)) join complement(complement(
% composition(B,
% complement(
% complement(
% composition(
% converse(B),A)) join
% complement(C)))) join
% complement(A))
% -> A
% Current number of equations to process: 104
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced :
% [92]
% complement(complement(composition(A,converse(one))) join complement(A) join
% complement(B)) join complement(complement(A) join complement(B))
% ->
% complement(complement(composition(A,converse(one))) join complement(A) join
% complement(B))
% Current number of equations to process: 103
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced : [93] converse(top) join complement(converse(A)) -> top
% Current number of equations to process: 158
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced :
% [94] converse(complement(converse(A))) join A -> converse(top)
% Current number of equations to process: 157
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced : [95] converse(zero) join converse(top) -> converse(top)
% Current number of equations to process: 158
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [96] converse(top) join complement(converse(A) join B) join B -> top
% Current number of equations to process: 155
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [97]
% composition(converse(complement(B)),A) join composition(converse(B),A) ->
% composition(converse(top),A)
% Current number of equations to process: 153
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [98]
% 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: 83
% New rule produced :
% [99]
% 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: 84
% New rule produced :
% [100]
% converse(composition(C,composition(B,converse(A)))) <->
% composition(composition(A,converse(B)),converse(C))
% Current number of equations to process: 155
% Current number of ordered equations: 3
% Current number of rules: 85
% New rule produced :
% [101]
% converse(composition(composition(C,converse(B)),A)) <->
% composition(converse(A),composition(B,converse(C)))
% Current number of equations to process: 155
% Current number of ordered equations: 2
% Current number of rules: 86
% New rule produced :
% [102]
% composition(converse(A),composition(B,converse(C))) <->
% converse(composition(composition(C,converse(B)),A))
% Current number of equations to process: 155
% Current number of ordered equations: 1
% Current number of rules: 87
% New rule produced :
% [103]
% composition(composition(A,converse(B)),converse(C)) <->
% converse(composition(C,composition(B,converse(A))))
% Current number of equations to process: 155
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [104]
% composition(B,converse(A) join converse(C)) <->
% converse(composition(A,converse(B))) join converse(composition(C,converse(B)))
% Current number of equations to process: 158
% Current number of ordered equations: 1
% Current number of rules: 89
% New rule produced :
% [105]
% converse(composition(A,converse(B))) join converse(composition(C,converse(B)))
% <-> composition(B,converse(A) join converse(C))
% Current number of equations to process: 158
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [106]
% composition(B,converse(A)) join composition(C,converse(A)) <->
% converse(composition(A,converse(B))) join converse(composition(A,converse(C)))
% Current number of equations to process: 157
% Current number of ordered equations: 1
% Current number of rules: 91
% New rule produced :
% [107]
% converse(composition(A,converse(B))) join converse(composition(A,converse(C)))
% <-> composition(B,converse(A)) join composition(C,converse(A))
% Current number of equations to process: 157
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [108]
% composition(composition(A,converse(B)),complement(composition(composition(B,
% converse(A)),C))) join
% complement(C) -> complement(C)
% Current number of equations to process: 156
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced : [109] composition(converse(one),A) -> A
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [110]
% converse(composition(composition(converse(A),B),C)) <->
% composition(converse(composition(B,C)),A)
% Current number of equations to process: 167
% Current number of ordered equations: 1
% Current number of rules: 95
% New rule produced :
% [111]
% composition(converse(composition(B,C)),A) <->
% converse(composition(composition(converse(A),B),C))
% Current number of equations to process: 167
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [112]
% converse(composition(C,composition(converse(B),A))) <->
% composition(composition(converse(A),B),converse(C))
% Current number of equations to process: 165
% Current number of ordered equations: 3
% Current number of rules: 97
% New rule produced :
% [113]
% converse(composition(composition(converse(C),B),A)) <->
% composition(converse(A),composition(converse(B),C))
% Current number of equations to process: 165
% Current number of ordered equations: 2
% Current number of rules: 98
% New rule produced :
% [114]
% composition(converse(A),composition(converse(B),C)) <->
% converse(composition(composition(converse(C),B),A))
% Current number of equations to process: 165
% Current number of ordered equations: 1
% Current number of rules: 99
% New rule produced :
% [115]
% composition(composition(converse(A),B),converse(C)) <->
% converse(composition(C,composition(converse(B),A)))
% Current number of equations to process: 165
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [116]
% converse(complement(composition(A,converse(B)))) join composition(B,converse(A))
% -> converse(top)
% Current number of equations to process: 164
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [117]
% composition(converse(B),A join C) <->
% converse(composition(converse(A),B)) join converse(composition(converse(C),B))
% Current number of equations to process: 167
% Current number of ordered equations: 1
% Current number of rules: 102
% New rule produced :
% [118]
% converse(composition(converse(A),B)) join converse(composition(converse(C),B))
% <-> composition(converse(B),A join C)
% Current number of equations to process: 167
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [119]
% composition(composition(converse(A),B),complement(composition(composition(
% converse(B),A),C))) join
% complement(C) -> complement(C)
% Current number of equations to process: 165
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [120]
% composition(A,converse(composition(B,converse(C)))) <->
% composition(composition(A,C),converse(B))
% Current number of equations to process: 175
% Current number of ordered equations: 1
% Current number of rules: 105
% New rule produced :
% [121]
% composition(composition(A,C),converse(B)) <->
% composition(A,converse(composition(B,converse(C))))
% Current number of equations to process: 175
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [122]
% converse(composition(C,converse(composition(A,B)))) <->
% composition(A,composition(B,converse(C)))
% Current number of equations to process: 173
% Current number of ordered equations: 3
% Current number of rules: 107
% New rule produced :
% [123]
% composition(A,composition(B,converse(C))) <->
% converse(composition(C,converse(composition(A,B))))
% Current number of equations to process: 173
% Current number of ordered equations: 2
% Current number of rules: 108
% New rule produced :
% [124]
% composition(B,composition(converse(A),C)) <->
% composition(converse(composition(A,converse(B))),C)
% Current number of equations to process: 173
% Current number of ordered equations: 1
% Current number of rules: 109
% New rule produced :
% [125]
% composition(converse(composition(A,converse(B))),C) <->
% composition(B,composition(converse(A),C))
% Current number of equations to process: 173
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced :
% [126]
% converse(complement(composition(converse(A),B))) join composition(converse(B),A)
% -> converse(top)
% Current number of equations to process: 172
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [127]
% composition(converse(A),complement(converse(composition(B,converse(A))))) join
% complement(converse(B)) -> complement(converse(B))
% Current number of equations to process: 175
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced :
% [128]
% converse(composition(converse(composition(B,C)),A)) <->
% composition(composition(converse(A),B),C)
% Current number of equations to process: 180
% Current number of ordered equations: 3
% Current number of rules: 113
% New rule produced :
% [129]
% composition(A,converse(composition(converse(B),C))) <->
% composition(composition(A,converse(C)),B)
% Current number of equations to process: 180
% Current number of ordered equations: 2
% Current number of rules: 114
% New rule produced :
% [130]
% composition(composition(converse(A),B),C) <->
% converse(composition(converse(composition(B,C)),A))
% Current number of equations to process: 180
% Current number of ordered equations: 1
% Current number of rules: 115
% New rule produced :
% [131]
% composition(composition(A,converse(C)),B) <->
% composition(A,converse(composition(converse(B),C)))
% Current number of equations to process: 180
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced :
% [132]
% composition(converse(B),composition(A,C)) <->
% composition(converse(composition(converse(A),B)),C)
% Current number of equations to process: 179
% Current number of ordered equations: 1
% Current number of rules: 117
% New rule produced :
% [133]
% composition(converse(composition(converse(A),B)),C) <->
% composition(converse(B),composition(A,C))
% Current number of equations to process: 179
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced :
% [134]
% converse(composition(composition(C,converse(B)),converse(A))) <->
% composition(A,composition(B,converse(C)))
% Current number of equations to process: 178
% Current number of ordered equations: 1
% Current number of rules: 119
% New rule produced :
% [135]
% composition(A,composition(B,converse(C))) <->
% converse(composition(composition(C,converse(B)),converse(A)))
% Current number of equations to process: 178
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced :
% [136]
% converse(composition(composition(converse(C),B),converse(A))) <->
% composition(A,composition(converse(B),C))
% Current number of equations to process: 177
% Current number of ordered equations: 1
% Current number of rules: 121
% New rule produced :
% [137]
% composition(A,composition(converse(B),C)) <->
% converse(composition(composition(converse(C),B),converse(A)))
% Current number of equations to process: 177
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [138]
% converse(composition(converse(B),A)) join converse(composition(converse(B),C))
% <-> composition(converse(A),B) join composition(converse(C),B)
% Current number of equations to process: 180
% Current number of ordered equations: 1
% Current number of rules: 123
% New rule produced :
% [139]
% composition(converse(A),B) join composition(converse(C),B) <->
% converse(composition(converse(B),A)) join converse(composition(converse(B),C))
% Current number of equations to process: 180
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [140]
% composition(A,composition(composition(one,B),C)) ->
% composition(A,composition(B,C))
% Current number of equations to process: 187
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [141]
% converse(composition(converse(C),composition(B,converse(A)))) <->
% composition(composition(A,converse(B)),C)
% Current number of equations to process: 185
% Current number of ordered equations: 1
% Current number of rules: 126
% New rule produced :
% [142]
% composition(composition(A,converse(B)),C) <->
% converse(composition(converse(C),composition(B,converse(A))))
% Current number of equations to process: 185
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [143]
% converse(composition(converse(C),composition(converse(B),A))) <->
% composition(composition(converse(A),B),C)
% Current number of equations to process: 184
% Current number of ordered equations: 1
% Current number of rules: 128
% New rule produced :
% [144]
% composition(composition(converse(A),B),C) <->
% converse(composition(converse(C),composition(converse(B),A)))
% Current number of equations to process: 184
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [145]
% composition(converse(A),complement(composition(A,B))) join complement(
% composition(one,B))
% -> complement(composition(one,B))
% Current number of equations to process: 189
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [146]
% converse(composition(converse(A),B)) <->
% composition(converse(composition(one,B)),A)
% Current number of equations to process: 216
% Current number of ordered equations: 1
% Current number of rules: 131
% New rule produced :
% [147]
% composition(converse(composition(one,B)),A) <->
% converse(composition(converse(A),B))
% Current number of equations to process: 216
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [148] composition(top,A) join complement(composition(B,A)) -> top
% Current number of equations to process: 215
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [149] composition(zero,A) join composition(top,A) -> composition(top,A)
% Current number of equations to process: 214
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [150]
% composition(A,converse(composition(B,converse(one)))) ->
% composition(A,converse(B))
% Current number of equations to process: 213
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [151]
% converse(composition(converse(composition(one,A)),B)) <->
% composition(converse(B),A)
% Current number of equations to process: 212
% Current number of ordered equations: 1
% Current number of rules: 136
% New rule produced :
% [152]
% composition(converse(B),A) <->
% converse(composition(converse(composition(one,A)),B))
% Current number of equations to process: 212
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [153]
% converse(composition(complement(B),A)) join converse(composition(B,A)) ->
% converse(composition(top,A))
% Current number of equations to process: 212
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [154]
% composition(top,A) join complement(composition(B,A) join C) join C -> top
% Current number of equations to process: 211
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced :
% [155]
% converse(composition(A,B)) join composition(complement(converse(B)),converse(A))
% -> composition(top,converse(A))
% Current number of equations to process: 210
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [156]
% composition(complement(composition(A,B)),C) join composition(A,composition(B,C))
% -> composition(top,C)
% Current number of equations to process: 208
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [157]
% composition(composition(complement(A),B),C) join composition(A,composition(B,C))
% <-> composition(top,composition(B,C))
% Current number of equations to process: 205
% Current number of ordered equations: 2
% Current number of rules: 142
% New rule produced :
% [158]
% composition(composition(A,B),C) join composition(complement(A),composition(B,C))
% -> composition(top,composition(B,C))
% Current number of equations to process: 205
% Current number of ordered equations: 1
% Current number of rules: 143
% New rule produced :
% [159]
% composition(top,composition(B,C)) <->
% composition(composition(complement(A),B),C) join composition(A,composition(B,C))
% Current number of equations to process: 205
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [160]
% composition(composition(complement(C),A),B) join composition(composition(C,A),B)
% -> composition(composition(top,A),B)
% Current number of equations to process: 204
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced :
% [161]
% composition(complement(converse(A)),complement(composition(A,B))) join
% complement(B) ->
% composition(top,complement(composition(A,B))) join complement(B)
% Current number of equations to process: 202
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [162]
% composition(composition(A,converse(one)),converse(B)) ->
% composition(A,converse(B))
% Current number of equations to process: 209
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced :
% [163]
% converse(composition(converse(A),B)) join composition(complement(converse(B)),A)
% -> composition(top,A)
% Current number of equations to process: 212
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [164]
% converse(composition(A,converse(complement(B)))) join composition(B,converse(A))
% <-> composition(top,converse(A))
% Current number of equations to process: 210
% Current number of ordered equations: 2
% Current number of rules: 149
% New rule produced :
% [165]
% composition(top,converse(A)) <->
% converse(composition(A,converse(complement(B)))) join composition(B,converse(A))
% Current number of equations to process: 210
% Current number of ordered equations: 1
% Current number of rules: 150
% New rule produced :
% [166]
% converse(composition(A,converse(B))) join composition(complement(B),converse(A))
% -> composition(top,converse(A))
% Current number of equations to process: 210
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [167]
% composition(composition(A,converse(composition(C,V_3))),converse(B)) <->
% composition(A,converse(composition(composition(B,C),V_3)))
% Current number of equations to process: 208
% Current number of ordered equations: 3
% Current number of rules: 152
% New rule produced :
% [168]
% composition(A,converse(composition(composition(B,C),V_3))) <->
% composition(composition(A,converse(composition(C,V_3))),converse(B))
% Current number of equations to process: 208
% Current number of ordered equations: 2
% Current number of rules: 153
% New rule produced :
% [169]
% composition(A,composition(composition(B,converse(C)),converse(V_3))) <->
% composition(composition(A,B),converse(composition(V_3,C)))
% Current number of equations to process: 208
% Current number of ordered equations: 1
% Current number of rules: 154
% New rule produced :
% [170]
% composition(composition(A,B),converse(composition(V_3,C))) <->
% composition(A,composition(composition(B,converse(C)),converse(V_3)))
% Current number of equations to process: 208
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [171]
% composition(composition(composition(A,B),converse(V_3)),converse(C)) <->
% composition(A,composition(B,converse(composition(C,V_3))))
% Current number of equations to process: 205
% Current number of ordered equations: 5
% Current number of rules: 156
% New rule produced :
% [172]
% composition(A,converse(composition(B,composition(C,V_3)))) <->
% composition(composition(A,converse(V_3)),converse(composition(B,C)))
% Current number of equations to process: 205
% Current number of ordered equations: 4
% Current number of rules: 157
% New rule produced :
% [173]
% composition(A,composition(B,converse(composition(C,V_3)))) <->
% composition(composition(composition(A,B),converse(V_3)),converse(C))
% Current number of equations to process: 205
% Current number of ordered equations: 3
% Current number of rules: 158
% New rule produced :
% [174]
% composition(A,composition(converse(composition(C,B)),V_3)) <->
% composition(composition(composition(A,converse(B)),converse(C)),V_3)
% Current number of equations to process: 205
% Current number of ordered equations: 2
% Current number of rules: 159
% New rule produced :
% [175]
% composition(composition(A,converse(V_3)),converse(composition(B,C))) <->
% composition(A,converse(composition(B,composition(C,V_3))))
% Current number of equations to process: 205
% Current number of ordered equations: 1
% Current number of rules: 160
% New rule produced :
% [176]
% composition(composition(composition(A,converse(B)),converse(C)),V_3) <->
% composition(A,composition(converse(composition(C,B)),V_3))
% Current number of equations to process: 205
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [177]
% composition(A,converse(composition(B,C)) join converse(composition(V_3,C)))
% <-> composition(composition(A,converse(C)),converse(B) join converse(V_3))
% Current number of equations to process: 205
% Current number of ordered equations: 1
% Current number of rules: 162
% New rule produced :
% [178]
% composition(composition(A,converse(C)),converse(B) join converse(V_3)) <->
% composition(A,converse(composition(B,C)) join converse(composition(V_3,C)))
% Current number of equations to process: 205
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [179]
% converse(composition(composition(A,B),converse(C))) <->
% composition(composition(C,converse(B)),converse(A))
% Current number of equations to process: 218
% Current number of ordered equations: 1
% Current number of rules: 164
% New rule produced :
% [180]
% composition(composition(C,converse(B)),converse(A)) <->
% converse(composition(composition(A,B),converse(C)))
% Current number of equations to process: 218
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [181]
% converse(composition(composition(A,converse(B)),converse(C))) <->
% composition(composition(C,B),converse(A))
% Current number of equations to process: 217
% Current number of ordered equations: 1
% Current number of rules: 166
% New rule produced :
% [182]
% composition(composition(C,B),converse(A)) <->
% converse(composition(composition(A,converse(B)),converse(C)))
% Current number of equations to process: 217
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [183]
% composition(A,converse(composition(B,C))) <->
% composition(composition(A,converse(composition(one,C))),converse(B))
% Current number of equations to process: 216
% Current number of ordered equations: 1
% Current number of rules: 168
% New rule produced :
% [184]
% composition(composition(A,converse(composition(one,C))),converse(B)) <->
% composition(A,converse(composition(B,C)))
% Current number of equations to process: 216
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [185]
% composition(composition(A,composition(B,converse(V_3))),converse(C)) <->
% composition(A,composition(B,converse(composition(C,V_3))))
% Current number of equations to process: 215
% Current number of ordered equations: 1
% Current number of rules: 170
% New rule produced :
% [186]
% composition(A,composition(B,converse(composition(C,V_3)))) <->
% composition(composition(A,composition(B,converse(V_3))),converse(C))
% Current number of equations to process: 215
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [187]
% composition(composition(A,B),converse(composition(V_3,C))) <->
% composition(composition(A,composition(B,converse(C))),converse(V_3))
% Current number of equations to process: 213
% Current number of ordered equations: 3
% Current number of rules: 172
% New rule produced :
% [188]
% composition(composition(A,converse(C)),composition(converse(B),V_3)) <->
% composition(composition(A,converse(composition(B,C))),V_3)
% Current number of equations to process: 213
% Current number of ordered equations: 2
% Current number of rules: 173
% New rule produced :
% [189]
% composition(composition(A,converse(composition(B,C))),V_3) <->
% composition(composition(A,converse(C)),composition(converse(B),V_3))
% Current number of equations to process: 213
% Current number of ordered equations: 1
% Current number of rules: 174
% New rule produced :
% [190]
% composition(composition(A,composition(B,converse(C))),converse(V_3)) <->
% composition(composition(A,B),converse(composition(V_3,C)))
% Current number of equations to process: 213
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [191]
% composition(A,converse(composition(composition(B,converse(C)),converse(V_3))))
% <-> composition(composition(A,composition(V_3,C)),converse(B))
% Current number of equations to process: 212
% Current number of ordered equations: 1
% Current number of rules: 176
% New rule produced :
% [192]
% composition(composition(A,composition(V_3,C)),converse(B)) <->
% composition(A,converse(composition(composition(B,converse(C)),converse(V_3))))
% Current number of equations to process: 212
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [193]
% composition(A,converse(composition(V_3,B)) join converse(composition(V_3,C)))
% <-> composition(composition(A,converse(B) join converse(C)),converse(V_3))
% Current number of equations to process: 215
% Current number of ordered equations: 1
% Current number of rules: 178
% New rule produced :
% [194]
% composition(composition(A,converse(B) join converse(C)),converse(V_3)) <->
% composition(A,converse(composition(V_3,B)) join converse(composition(V_3,C)))
% Current number of equations to process: 215
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [195]
% converse(composition(A,converse(composition(B,C)))) <->
% composition(B,converse(composition(A,converse(C))))
% Current number of equations to process: 233
% Current number of ordered equations: 1
% Current number of rules: 180
% New rule produced :
% [196]
% composition(B,converse(composition(A,converse(C)))) <->
% converse(composition(A,converse(composition(B,C))))
% Current number of equations to process: 233
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [197]
% converse(composition(A,converse(composition(B,converse(C))))) <->
% composition(B,converse(composition(A,C)))
% Current number of equations to process: 232
% Current number of ordered equations: 1
% Current number of rules: 182
% New rule produced :
% [198]
% composition(B,converse(composition(A,C))) <->
% converse(composition(A,converse(composition(B,converse(C)))))
% Current number of equations to process: 232
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [199]
% composition(A,composition(converse(composition(B,C)),V_3)) <->
% composition(composition(A,converse(C)),composition(converse(B),V_3))
% Current number of equations to process: 230
% Current number of ordered equations: 3
% Current number of rules: 184
% New rule produced :
% [200]
% composition(converse(A),composition(composition(converse(B),C),V_3)) <->
% composition(converse(composition(B,A)),composition(C,V_3))
% Current number of equations to process: 230
% Current number of ordered equations: 2
% Current number of rules: 185
% New rule produced :
% [201]
% composition(composition(A,converse(C)),composition(converse(B),V_3)) <->
% composition(A,composition(converse(composition(B,C)),V_3))
% Current number of equations to process: 230
% Current number of ordered equations: 1
% Current number of rules: 186
% New rule produced :
% [202]
% composition(converse(composition(B,A)),composition(C,V_3)) <->
% composition(converse(A),composition(composition(converse(B),C),V_3))
% Current number of equations to process: 230
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [203]
% composition(converse(B),composition(composition(converse(A),C),V_3)) <->
% composition(composition(converse(composition(A,B)),C),V_3)
% Current number of equations to process: 229
% Current number of ordered equations: 1
% Current number of rules: 188
% New rule produced :
% [204]
% composition(composition(converse(composition(A,B)),C),V_3) <->
% composition(converse(B),composition(composition(converse(A),C),V_3))
% Current number of equations to process: 229
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [205]
% composition(A,converse(composition(V_3,composition(C,converse(B))))) <->
% composition(composition(A,composition(B,converse(C))),converse(V_3))
% Current number of equations to process: 227
% Current number of ordered equations: 3
% Current number of rules: 190
% New rule produced :
% [206]
% composition(A,converse(composition(composition(V_3,converse(C)),B))) <->
% composition(composition(A,converse(B)),composition(C,converse(V_3)))
% Current number of equations to process: 227
% Current number of ordered equations: 2
% Current number of rules: 191
% New rule produced :
% [207]
% composition(composition(A,converse(B)),composition(C,converse(V_3))) <->
% composition(A,converse(composition(composition(V_3,converse(C)),B)))
% Current number of equations to process: 227
% Current number of ordered equations: 1
% Current number of rules: 192
% New rule produced :
% [208]
% composition(composition(A,composition(B,converse(C))),converse(V_3)) <->
% composition(A,converse(composition(V_3,composition(C,converse(B)))))
% Current number of equations to process: 227
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [209]
% composition(composition(A,composition(converse(B),C)),converse(V_3)) <->
% composition(A,converse(composition(V_3,composition(converse(C),B))))
% Current number of equations to process: 225
% Current number of ordered equations: 3
% Current number of rules: 194
% New rule produced :
% [210]
% composition(A,converse(composition(composition(converse(V_3),C),B))) <->
% composition(composition(A,converse(B)),composition(converse(C),V_3))
% Current number of equations to process: 225
% Current number of ordered equations: 2
% Current number of rules: 195
% New rule produced :
% [211]
% composition(A,converse(composition(V_3,composition(converse(C),B)))) <->
% composition(composition(A,composition(converse(B),C)),converse(V_3))
% Current number of equations to process: 225
% Current number of ordered equations: 1
% Current number of rules: 196
% New rule produced :
% [212]
% composition(composition(A,converse(B)),composition(converse(C),V_3)) <->
% composition(A,converse(composition(composition(converse(V_3),C),B)))
% Current number of equations to process: 225
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [213]
% composition(A,converse(composition(B,converse(composition(C,V_3))))) <->
% composition(composition(A,C),converse(composition(B,converse(V_3))))
% Current number of equations to process: 224
% Current number of ordered equations: 1
% Current number of rules: 198
% New rule produced :
% [214]
% composition(composition(A,C),converse(composition(B,converse(V_3)))) <->
% composition(A,converse(composition(B,converse(composition(C,V_3)))))
% Current number of equations to process: 224
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [215]
% composition(composition(A,converse(C)),converse(composition(V_3,B))) <->
% composition(composition(A,converse(composition(B,C))),converse(V_3))
% Current number of equations to process: 223
% Current number of ordered equations: 1
% Current number of rules: 200
% New rule produced :
% [216]
% composition(composition(A,converse(composition(B,C))),converse(V_3)) <->
% composition(composition(A,converse(C)),converse(composition(V_3,B)))
% Current number of equations to process: 223
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [217]
% composition(A,converse(composition(composition(V_3,C),B))) <->
% composition(composition(composition(A,converse(B)),converse(C)),converse(V_3))
% Current number of equations to process: 221
% Current number of ordered equations: 3
% Current number of rules: 202
% New rule produced :
% [218]
% composition(A,converse(composition(V_3,composition(C,B)))) <->
% composition(composition(composition(A,converse(B)),converse(C)),converse(V_3))
% Current number of equations to process: 221
% Current number of ordered equations: 2
% Current number of rules: 203
% New rule produced :
% [219]
% composition(composition(composition(A,converse(B)),converse(C)),converse(V_3))
% <-> composition(A,converse(composition(composition(V_3,C),B)))
% Current number of equations to process: 221
% Current number of ordered equations: 1
% Current number of rules: 204
% New rule produced :
% [220]
% composition(composition(composition(A,converse(B)),converse(C)),converse(V_3))
% <-> composition(A,converse(composition(V_3,composition(C,B))))
% Current number of equations to process: 221
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [221]
% composition(complement(composition(A,converse(B))),converse(C)) join
% composition(A,converse(composition(C,B))) -> composition(top,converse(C))
% Current number of equations to process: 224
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [222]
% converse(composition(converse(composition(A,B)),C)) <->
% composition(converse(composition(converse(A),C)),B)
% Current number of equations to process: 241
% Current number of ordered equations: 1
% Current number of rules: 207
% New rule produced :
% [223]
% composition(converse(composition(converse(A),C)),B) <->
% converse(composition(converse(composition(A,B)),C))
% Current number of equations to process: 241
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [224]
% converse(composition(converse(composition(converse(A),B)),C)) <->
% composition(converse(composition(A,C)),B)
% Current number of equations to process: 240
% Current number of ordered equations: 1
% Current number of rules: 209
% New rule produced :
% [225]
% composition(converse(composition(A,C)),B) <->
% converse(composition(converse(composition(converse(A),B)),C))
% Current number of equations to process: 240
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [226]
% composition(converse(composition(composition(A,B),C)),V_3) <->
% composition(converse(composition(B,C)),composition(converse(A),V_3))
% Current number of equations to process: 237
% Current number of ordered equations: 5
% Current number of rules: 211
% New rule produced :
% [227]
% composition(A,composition(converse(B),composition(converse(C),V_3))) <->
% composition(composition(A,converse(composition(C,B))),V_3)
% Current number of equations to process: 237
% Current number of ordered equations: 4
% Current number of rules: 212
% New rule produced :
% [228]
% composition(converse(B),composition(converse(A),composition(C,V_3))) <->
% composition(composition(converse(composition(A,B)),C),V_3)
% Current number of equations to process: 237
% Current number of ordered equations: 3
% Current number of rules: 213
% New rule produced :
% [229]
% composition(converse(composition(B,C)),composition(converse(A),V_3)) <->
% composition(converse(composition(composition(A,B),C)),V_3)
% Current number of equations to process: 237
% Current number of ordered equations: 2
% Current number of rules: 214
% New rule produced :
% [230]
% composition(composition(converse(composition(A,B)),C),V_3) <->
% composition(converse(B),composition(converse(A),composition(C,V_3)))
% Current number of equations to process: 237
% Current number of ordered equations: 1
% Current number of rules: 215
% New rule produced :
% [231]
% composition(composition(A,converse(composition(C,B))),V_3) <->
% composition(A,composition(converse(B),composition(converse(C),V_3)))
% Current number of equations to process: 237
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [232]
% composition(composition(converse(A),composition(converse(B),C)),V_3) <->
% composition(converse(composition(B,A)),composition(C,V_3))
% Current number of equations to process: 235
% Current number of ordered equations: 3
% Current number of rules: 217
% New rule produced :
% [233]
% composition(converse(composition(A,composition(B,C))),V_3) <->
% composition(converse(C),composition(converse(composition(A,B)),V_3))
% Current number of equations to process: 235
% Current number of ordered equations: 2
% Current number of rules: 218
% New rule produced :
% [234]
% composition(converse(C),composition(converse(composition(A,B)),V_3)) <->
% composition(converse(composition(A,composition(B,C))),V_3)
% Current number of equations to process: 235
% Current number of ordered equations: 1
% Current number of rules: 219
% New rule produced :
% [235]
% composition(converse(composition(B,A)),composition(C,V_3)) <->
% composition(composition(converse(A),composition(converse(B),C)),V_3)
% Current number of equations to process: 235
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [236]
% composition(converse(A),composition(composition(B,converse(C)),V_3)) <->
% composition(converse(composition(composition(C,converse(B)),A)),V_3)
% Current number of equations to process: 233
% Current number of ordered equations: 3
% Current number of rules: 221
% New rule produced :
% [237]
% composition(composition(A,converse(B)),composition(converse(C),V_3)) <->
% composition(converse(composition(C,composition(B,converse(A)))),V_3)
% Current number of equations to process: 233
% Current number of ordered equations: 2
% Current number of rules: 222
% New rule produced :
% [238]
% composition(converse(composition(C,composition(B,converse(A)))),V_3) <->
% composition(composition(A,converse(B)),composition(converse(C),V_3))
% Current number of equations to process: 233
% Current number of ordered equations: 1
% Current number of rules: 223
% New rule produced :
% [239]
% composition(converse(composition(composition(C,converse(B)),A)),V_3) <->
% composition(converse(A),composition(composition(B,converse(C)),V_3))
% Current number of equations to process: 233
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [240]
% composition(converse(composition(C,composition(converse(B),A))),V_3) <->
% composition(composition(converse(A),B),composition(converse(C),V_3))
% Current number of equations to process: 231
% Current number of ordered equations: 3
% Current number of rules: 225
% New rule produced :
% [241]
% composition(converse(composition(composition(converse(C),B),A)),V_3) <->
% composition(converse(A),composition(composition(converse(B),C),V_3))
% Current number of equations to process: 231
% Current number of ordered equations: 2
% Current number of rules: 226
% New rule produced :
% [242]
% composition(converse(A),composition(composition(converse(B),C),V_3)) <->
% composition(converse(composition(composition(converse(C),B),A)),V_3)
% Current number of equations to process: 231
% Current number of ordered equations: 1
% Current number of rules: 227
% New rule produced :
% [243]
% composition(composition(converse(A),B),composition(converse(C),V_3)) <->
% composition(converse(composition(C,composition(converse(B),A))),V_3)
% Current number of equations to process: 231
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced :
% [244]
% composition(A,converse(composition(converse(composition(B,C)),V_3))) <->
% composition(composition(A,converse(composition(converse(B),V_3))),C)
% Current number of equations to process: 230
% Current number of ordered equations: 1
% Current number of rules: 229
% New rule produced :
% [245]
% composition(composition(A,converse(composition(converse(B),V_3))),C) <->
% composition(A,converse(composition(converse(composition(B,C)),V_3)))
% Current number of equations to process: 230
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced :
% [246]
% composition(converse(A),composition(converse(composition(B,C)),V_3)) <->
% composition(converse(composition(C,A)),composition(converse(B),V_3))
% Current number of equations to process: 229
% Current number of ordered equations: 1
% Current number of rules: 231
% New rule produced :
% [247]
% composition(converse(composition(C,A)),composition(converse(B),V_3)) <->
% composition(converse(A),composition(converse(composition(B,C)),V_3))
% Current number of equations to process: 229
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced :
% [248]
% converse(composition(converse(A),composition(B,C))) <->
% composition(converse(C),composition(converse(B),A))
% Current number of equations to process: 254
% Current number of ordered equations: 1
% Current number of rules: 233
% New rule produced :
% [249]
% composition(converse(C),composition(converse(B),A)) <->
% converse(composition(converse(A),composition(B,C)))
% Current number of equations to process: 254
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced :
% [250]
% converse(composition(converse(A),composition(converse(B),C))) <->
% composition(converse(C),composition(B,A))
% Current number of equations to process: 255
% Current number of ordered equations: 1
% Current number of rules: 235
% New rule produced :
% [251]
% composition(converse(C),composition(B,A)) <->
% converse(composition(converse(A),composition(converse(B),C)))
% Current number of equations to process: 255
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [252]
% composition(converse(composition(one,B)),composition(converse(A),C)) <->
% composition(converse(composition(A,B)),C)
% Current number of equations to process: 254
% Current number of ordered equations: 1
% Current number of rules: 237
% New rule produced :
% [253]
% composition(converse(composition(A,B)),C) <->
% composition(converse(composition(one,B)),composition(converse(A),C))
% Current number of equations to process: 254
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced :
% [254]
% composition(B,composition(converse(composition(A,converse(C))),V_3)) <->
% composition(converse(composition(A,converse(composition(B,C)))),V_3)
% Current number of equations to process: 253
% Current number of ordered equations: 1
% Current number of rules: 239
% New rule produced :
% [255]
% composition(converse(composition(A,converse(composition(B,C)))),V_3) <->
% composition(B,composition(converse(composition(A,converse(C))),V_3))
% Current number of equations to process: 253
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [256]
% composition(converse(composition(converse(A),C)),composition(B,V_3)) <->
% composition(converse(composition(converse(composition(A,B)),C)),V_3)
% Current number of equations to process: 252
% Current number of ordered equations: 1
% Current number of rules: 241
% New rule produced :
% [257]
% composition(converse(composition(converse(composition(A,B)),C)),V_3) <->
% composition(converse(composition(converse(A),C)),composition(B,V_3))
% Current number of equations to process: 252
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced :
% [258]
% composition(A,composition(composition(composition(B,C),V_3),V_4)) <->
% composition(composition(A,B),composition(composition(C,V_3),V_4))
% Current number of equations to process: 249
% Current number of ordered equations: 5
% Current number of rules: 243
% New rule produced :
% [259]
% composition(A,composition(composition(composition(B,C),V_3),V_4)) <->
% composition(composition(A,B),composition(C,composition(V_3,V_4)))
% Current number of equations to process: 249
% Current number of ordered equations: 4
% Current number of rules: 244
% New rule produced :
% [260]
% composition(A,composition(composition(B,C),composition(V_3,V_4))) <->
% composition(composition(A,B),composition(composition(C,V_3),V_4))
% Current number of equations to process: 249
% Current number of ordered equations: 3
% Current number of rules: 245
% New rule produced :
% [261]
% composition(composition(A,B),composition(composition(C,V_3),V_4)) <->
% composition(A,composition(composition(composition(B,C),V_3),V_4))
% Current number of equations to process: 249
% Current number of ordered equations: 2
% Current number of rules: 246
% New rule produced :
% [262]
% composition(composition(A,B),composition(composition(C,V_3),V_4)) <->
% composition(A,composition(composition(B,C),composition(V_3,V_4)))
% Current number of equations to process: 249
% Current number of ordered equations: 1
% Current number of rules: 247
% New rule produced :
% [263]
% composition(composition(A,B),composition(C,composition(V_3,V_4))) <->
% composition(A,composition(composition(composition(B,C),V_3),V_4))
% Current number of equations to process: 249
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [264]
% composition(A,composition(composition(composition(B,C),V_3),V_4)) <->
% composition(composition(composition(A,B),composition(C,V_3)),V_4)
% Current number of equations to process: 246
% Current number of ordered equations: 5
% Current number of rules: 249
% New rule produced :
% [265]
% composition(A,composition(B,composition(composition(C,V_3),V_4))) <->
% composition(composition(composition(A,B),C),composition(V_3,V_4))
% Current number of equations to process: 246
% Current number of ordered equations: 4
% Current number of rules: 250
% New rule produced :
% [266]
% composition(A,composition(composition(B,composition(C,V_3)),V_4)) <->
% composition(composition(A,composition(B,C)),composition(V_3,V_4))
% Current number of equations to process: 246
% Current number of ordered equations: 3
% Current number of rules: 251
% New rule produced :
% [267]
% composition(composition(A,composition(B,C)),composition(V_3,V_4)) <->
% composition(A,composition(composition(B,composition(C,V_3)),V_4))
% Current number of equations to process: 246
% Current number of ordered equations: 2
% Current number of rules: 252
% New rule produced :
% [268]
% composition(composition(composition(A,B),C),composition(V_3,V_4)) <->
% composition(A,composition(B,composition(composition(C,V_3),V_4)))
% Current number of equations to process: 246
% Current number of ordered equations: 1
% Current number of rules: 253
% New rule produced :
% [269]
% composition(composition(composition(A,B),composition(C,V_3)),V_4) <->
% composition(A,composition(composition(composition(B,C),V_3),V_4))
% Current number of equations to process: 246
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [270]
% composition(converse(composition(composition(A,converse(B)),converse(C))),V_3)
% <-> composition(composition(C,B),composition(converse(A),V_3))
% Current number of equations to process: 244
% Current number of ordered equations: 3
% Current number of rules: 255
% New rule produced :
% [271]
% composition(A,converse(composition(converse(B),composition(converse(C),V_3))))
% <-> composition(composition(A,converse(V_3)),composition(C,B))
% Current number of equations to process: 244
% Current number of ordered equations: 2
% Current number of rules: 256
% New rule produced :
% [272]
% composition(composition(C,B),composition(converse(A),V_3)) <->
% composition(converse(composition(composition(A,converse(B)),converse(C))),V_3)
% Current number of equations to process: 244
% Current number of ordered equations: 1
% Current number of rules: 257
% New rule produced :
% [273]
% composition(composition(A,converse(V_3)),composition(C,B)) <->
% composition(A,converse(composition(converse(B),composition(converse(C),V_3))))
% Current number of equations to process: 244
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced :
% [274]
% composition(converse(composition(A,composition(B,C))),V_3) <->
% composition(converse(C),composition(converse(B),composition(converse(A),V_3)))
% Current number of equations to process: 242
% Current number of ordered equations: 3
% Current number of rules: 259
% New rule produced :
% [275]
% composition(converse(A),composition(converse(B),composition(converse(C),V_3)))
% <-> composition(converse(composition(composition(C,B),A)),V_3)
% Current number of equations to process: 242
% Current number of ordered equations: 2
% Current number of rules: 260
% New rule produced :
% [276]
% composition(converse(C),composition(converse(B),composition(converse(A),V_3)))
% <-> composition(converse(composition(A,composition(B,C))),V_3)
% Current number of equations to process: 242
% Current number of ordered equations: 1
% Current number of rules: 261
% New rule produced :
% [277]
% composition(converse(composition(composition(C,B),A)),V_3) <->
% composition(converse(A),composition(converse(B),composition(converse(C),V_3)))
% Current number of equations to process: 242
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced :
% [278]
% composition(converse(composition(converse(A),composition(converse(B),C))),V_3)
% <-> composition(converse(C),composition(composition(B,A),V_3))
% Current number of equations to process: 241
% Current number of ordered equations: 1
% Current number of rules: 263
% New rule produced :
% [279]
% composition(converse(C),composition(composition(B,A),V_3)) <->
% composition(converse(composition(converse(A),composition(converse(B),C))),V_3)
% Current number of equations to process: 241
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced :
% [280]
% composition(converse(A),composition(converse(B),C)) join composition(
% complement(converse(
% composition(B,A))),C)
% -> composition(top,C)
% Current number of equations to process: 248
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced :
% [281]
% composition(A,composition(composition(B,C),V_3) join composition(composition(V_4,C),V_3))
% <-> composition(composition(A,B join V_4),composition(C,V_3))
% Current number of equations to process: 247
% Current number of ordered equations: 1
% Current number of rules: 266
% New rule produced :
% [282]
% composition(composition(A,B join V_4),composition(C,V_3)) <->
% composition(A,composition(composition(B,C),V_3) join composition(composition(V_4,C),V_3))
% Current number of equations to process: 247
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [283]
% converse(composition(composition(converse(A),B),composition(C,V_3))) <->
% composition(converse(composition(composition(B,C),V_3)),A)
% Current number of equations to process: 279
% Current number of ordered equations: 1
% Current number of rules: 268
% New rule produced :
% [284]
% composition(converse(composition(composition(B,C),V_3)),A) <->
% converse(composition(composition(converse(A),B),composition(C,V_3)))
% Current number of equations to process: 279
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [285]
% composition(A,converse(composition(B,converse(composition(C,V_3))))) <->
% composition(composition(A,C),composition(V_3,converse(B)))
% Current number of equations to process: 277
% Current number of ordered equations: 3
% Current number of rules: 270
% New rule produced :
% [286]
% composition(A,composition(converse(composition(B,converse(C))),V_3)) <->
% composition(composition(A,C),composition(converse(B),V_3))
% Current number of equations to process: 277
% Current number of ordered equations: 2
% Current number of rules: 271
% New rule produced :
% [287]
% composition(composition(A,C),composition(V_3,converse(B))) <->
% composition(A,converse(composition(B,converse(composition(C,V_3)))))
% Current number of equations to process: 277
% Current number of ordered equations: 1
% Current number of rules: 272
% New rule produced :
% [288]
% composition(composition(A,C),composition(converse(B),V_3)) <->
% composition(A,composition(converse(composition(B,converse(C))),V_3))
% Current number of equations to process: 277
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [289]
% converse(composition(converse(composition(composition(A,B),C)),V_3)) <->
% composition(composition(converse(V_3),A),composition(B,C))
% Current number of equations to process: 275
% Current number of ordered equations: 3
% Current number of rules: 274
% New rule produced :
% [290]
% composition(A,composition(converse(composition(converse(B),C)),V_3)) <->
% composition(composition(A,converse(C)),composition(B,V_3))
% Current number of equations to process: 275
% Current number of ordered equations: 2
% Current number of rules: 275
% New rule produced :
% [291]
% composition(composition(converse(V_3),A),composition(B,C)) <->
% converse(composition(converse(composition(composition(A,B),C)),V_3))
% Current number of equations to process: 275
% Current number of ordered equations: 1
% Current number of rules: 276
% New rule produced :
% [292]
% composition(composition(A,converse(C)),composition(B,V_3)) <->
% composition(A,composition(converse(composition(converse(B),C)),V_3))
% Current number of equations to process: 275
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced :
% [293]
% composition(A,composition(composition(composition(B,C),V_3),V_4)) <->
% composition(composition(composition(A,B),C),composition(V_3,V_4))
% Current number of equations to process: 273
% Current number of ordered equations: 3
% Current number of rules: 278
% New rule produced :
% [294]
% composition(A,composition(B,composition(composition(C,V_3),V_4))) <->
% composition(composition(A,composition(B,C)),composition(V_3,V_4))
% Current number of equations to process: 273
% Current number of ordered equations: 2
% Current number of rules: 279
% New rule produced :
% [295]
% composition(composition(A,composition(B,C)),composition(V_3,V_4)) <->
% composition(A,composition(B,composition(composition(C,V_3),V_4)))
% Current number of equations to process: 273
% Current number of ordered equations: 1
% Current number of rules: 280
% New rule produced :
% [296]
% composition(composition(composition(A,B),C),composition(V_3,V_4)) <->
% composition(A,composition(composition(composition(B,C),V_3),V_4))
% Current number of equations to process: 273
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced :
% [297]
% composition(A,composition(composition(B,composition(C,V_3)),V_4)) <->
% composition(composition(A,B),composition(C,composition(V_3,V_4)))
% Current number of equations to process: 270
% Current number of ordered equations: 5
% Current number of rules: 282
% New rule produced :
% [298]
% composition(composition(A,composition(B,C)),composition(V_3,V_4)) <->
% composition(composition(A,B),composition(composition(C,V_3),V_4))
% Current number of equations to process: 270
% Current number of ordered equations: 4
% Current number of rules: 283
% New rule produced :
% [299]
% composition(composition(A,B),composition(composition(C,V_3),V_4)) <->
% composition(composition(A,composition(B,C)),composition(V_3,V_4))
% Current number of equations to process: 270
% Current number of ordered equations: 3
% Current number of rules: 284
% New rule produced :
% [300]
% composition(composition(A,B),composition(composition(C,V_3),V_4)) <->
% composition(composition(A,composition(composition(B,C),V_3)),V_4)
% Current number of equations to process: 270
% Current number of ordered equations: 2
% Current number of rules: 285
% New rule produced :
% [301]
% composition(composition(A,B),composition(C,composition(V_3,V_4))) <->
% composition(A,composition(composition(B,composition(C,V_3)),V_4))
% Current number of equations to process: 270
% Current number of ordered equations: 1
% Current number of rules: 286
% New rule produced :
% [302]
% composition(composition(A,composition(composition(B,C),V_3)),V_4) <->
% composition(composition(A,B),composition(composition(C,V_3),V_4))
% Current number of equations to process: 270
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [303]
% composition(A,composition(composition(B,C join V_4),V_3)) <->
% composition(composition(A,B),composition(C,V_3) join composition(V_4,V_3))
% Current number of equations to process: 269
% Current number of ordered equations: 1
% Current number of rules: 288
% New rule produced :
% [304]
% composition(composition(A,B),composition(C,V_3) join composition(V_4,V_3))
% <-> composition(A,composition(composition(B,C join V_4),V_3))
% Current number of equations to process: 269
% Current number of ordered equations: 0
% Current number of rules: 289
% New rule produced :
% [305]
% composition(A,composition(composition(composition(B,converse(C)),converse(V_3)),V_4))
% <->
% composition(composition(A,B),composition(converse(composition(V_3,C)),V_4))
% Current number of equations to process: 270
% Current number of ordered equations: 5
% Current number of rules: 290
% New rule produced :
% [306]
% composition(A,composition(composition(composition(B,C),converse(V_3)),
% converse(V_4))) <->
% composition(composition(A,B),composition(C,converse(composition(V_4,V_3))))
% Current number of equations to process: 270
% Current number of ordered equations: 4
% Current number of rules: 291
% New rule produced :
% [307]
% composition(A,converse(composition(composition(B,C),composition(V_3,V_4))))
% <->
% composition(composition(A,converse(composition(composition(C,V_3),V_4))),
% converse(B))
% Current number of equations to process: 270
% Current number of ordered equations: 3
% Current number of rules: 292
% New rule produced :
% [308]
% composition(composition(A,B),composition(converse(composition(V_3,C)),V_4))
% <->
% composition(A,composition(composition(composition(B,converse(C)),converse(V_3)),V_4))
% Current number of equations to process: 270
% Current number of ordered equations: 2
% Current number of rules: 293
% New rule produced :
% [309]
% composition(composition(A,B),composition(C,converse(composition(V_4,V_3))))
% <->
% composition(A,composition(composition(composition(B,C),converse(V_3)),
% converse(V_4)))
% Current number of equations to process: 270
% Current number of ordered equations: 1
% Current number of rules: 294
% New rule produced :
% [310]
% composition(composition(A,converse(composition(composition(C,V_3),V_4))),
% converse(B)) <->
% composition(A,converse(composition(composition(B,C),composition(V_3,V_4))))
% Current number of equations to process: 270
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced :
% [311]
% composition(composition(A,composition(B,converse(V_3))),composition(converse(C),V_4))
% <->
% composition(A,composition(composition(B,converse(composition(C,V_3))),V_4))
% Current number of equations to process: 269
% Current number of ordered equations: 1
% Current number of rules: 296
% New rule produced :
% [312]
% composition(A,composition(composition(B,converse(composition(C,V_3))),V_4))
% <->
% composition(composition(A,composition(B,converse(V_3))),composition(converse(C),V_4))
% Current number of equations to process: 269
% Current number of ordered equations: 0
% Current number of rules: 297
% New rule produced :
% [313]
% composition(A,composition(composition(converse(composition(B,C)),V_3),V_4))
% <->
% composition(composition(A,converse(C)),composition(composition(converse(B),V_3),V_4))
% Current number of equations to process: 267
% Current number of ordered equations: 3
% Current number of rules: 298
% New rule produced :
% [314]
% composition(converse(A),composition(composition(converse(B),C),composition(V_3,V_4)))
% <->
% composition(converse(composition(B,A)),composition(composition(C,V_3),V_4))
% Current number of equations to process: 267
% Current number of ordered equations: 2
% Current number of rules: 299
% New rule produced :
% [315]
% composition(composition(A,converse(C)),composition(composition(converse(B),V_3),V_4))
% <->
% composition(A,composition(composition(converse(composition(B,C)),V_3),V_4))
% Current number of equations to process: 267
% Current number of ordered equations: 1
% Current number of rules: 300
% New rule produced :
% [316]
% composition(converse(composition(B,A)),composition(composition(C,V_3),V_4))
% <->
% composition(converse(A),composition(composition(converse(B),C),composition(V_3,V_4)))
% Current number of equations to process: 267
% Current number of ordered equations: 0
% Current number of rules: 301
% New rule produced :
% [317]
% composition(composition(converse(composition(B,A)),C),composition(V_3,V_4))
% <->
% composition(converse(A),composition(converse(B),composition(composition(C,V_3),V_4)))
% Current number of equations to process: 264
% Current number of ordered equations: 5
% Current number of rules: 302
% New rule produced :
% [318]
% composition(converse(composition(composition(B,C),V_3)),composition(converse(A),V_4))
% <->
% composition(converse(composition(composition(A,B),composition(C,V_3))),V_4)
% Current number of equations to process: 264
% Current number of ordered equations: 4
% Current number of rules: 303
% New rule produced :
% [319]
% composition(A,composition(composition(converse(B),composition(converse(C),V_3)),V_4))
% <->
% composition(composition(A,converse(composition(C,B))),composition(V_3,V_4))
% Current number of equations to process: 264
% Current number of ordered equations: 3
% Current number of rules: 304
% New rule produced :
% [320]
% composition(converse(A),composition(converse(B),composition(composition(C,V_3),V_4)))
% <->
% composition(composition(converse(composition(B,A)),C),composition(V_3,V_4))
% Current number of equations to process: 264
% Current number of ordered equations: 2
% Current number of rules: 305
% New rule produced :
% [321]
% composition(converse(composition(composition(A,B),composition(C,V_3))),V_4)
% <->
% composition(converse(composition(composition(B,C),V_3)),composition(converse(A),V_4))
% Current number of equations to process: 264
% Current number of ordered equations: 1
% Current number of rules: 306
% New rule produced :
% [322]
% composition(composition(A,converse(composition(C,B))),composition(V_3,V_4))
% <->
% composition(A,composition(composition(converse(B),composition(converse(C),V_3)),V_4))
% Current number of equations to process: 264
% Current number of ordered equations: 0
% Current number of rules: 307
% New rule produced :
% [323]
% composition(A,composition(composition(composition(B,C),composition(V_3,V_4)),V_5))
% <->
% composition(composition(A,B),composition(composition(composition(C,V_3),V_4),V_5))
% Current number of equations to process: 262
% Current number of ordered equations: 3
% Current number of rules: 308
% New rule produced :
% [324]
% composition(A,composition(composition(composition(B,C),V_3),composition(V_4,V_5)))
% <->
% composition(composition(A,B),composition(C,composition(composition(V_3,V_4),V_5)))
% Current number of equations to process: 262
% Current number of ordered equations: 2
% Current number of rules: 309
% New rule produced :
% [325]
% composition(composition(A,B),composition(composition(composition(C,V_3),V_4),V_5))
% <->
% composition(A,composition(composition(composition(B,C),composition(V_3,V_4)),V_5))
% Current number of equations to process: 262
% Current number of ordered equations: 1
% Current number of rules: 310
% New rule produced :
% [326]
% composition(composition(A,B),composition(C,composition(composition(V_3,V_4),V_5)))
% <->
% composition(A,composition(composition(composition(B,C),V_3),composition(V_4,V_5)))
% Current number of equations to process: 262
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced :
% [327]
% composition(A,composition(composition(composition(one,B),C),V_3)) <->
% composition(composition(A,B),composition(C,V_3))
% Current number of equations to process: 294
% Current number of ordered equations: 1
% Current number of rules: 312
% New rule produced :
% [328]
% composition(composition(A,B),composition(C,V_3)) <->
% composition(A,composition(composition(composition(one,B),C),V_3))
% Current number of equations to process: 294
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [329]
% composition(A,composition(composition(B,V_3),converse(C))) <->
% composition(composition(A,B),converse(composition(C,converse(V_3))))
% Current number of equations to process: 292
% Current number of ordered equations: 3
% Current number of rules: 314
% New rule produced :
% [330]
% composition(B,composition(composition(converse(A),C),V_3)) <->
% composition(converse(composition(A,converse(B))),composition(C,V_3))
% Current number of equations to process: 292
% Current number of ordered equations: 2
% Current number of rules: 315
% New rule produced :
% [331]
% composition(composition(A,B),converse(composition(C,converse(V_3)))) <->
% composition(A,composition(composition(B,V_3),converse(C)))
% Current number of equations to process: 292
% Current number of ordered equations: 1
% Current number of rules: 316
% New rule produced :
% [332]
% composition(converse(composition(A,converse(B))),composition(C,V_3)) <->
% composition(B,composition(composition(converse(A),C),V_3))
% Current number of equations to process: 292
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced :
% [333]
% composition(A,composition(composition(B,converse(V_3)),C)) <->
% composition(composition(A,B),converse(composition(converse(C),V_3)))
% Current number of equations to process: 290
% Current number of ordered equations: 3
% Current number of rules: 318
% New rule produced :
% [334]
% composition(composition(A,B),converse(composition(converse(C),V_3))) <->
% composition(A,composition(composition(B,converse(V_3)),C))
% Current number of equations to process: 290
% Current number of ordered equations: 2
% Current number of rules: 319
% New rule produced :
% [335]
% composition(converse(B),composition(composition(A,C),V_3)) <->
% composition(converse(composition(converse(A),B)),composition(C,V_3))
% Current number of equations to process: 290
% Current number of ordered equations: 1
% Current number of rules: 320
% New rule produced :
% [336]
% composition(converse(composition(converse(A),B)),composition(C,V_3)) <->
% composition(converse(B),composition(composition(A,C),V_3))
% Current number of equations to process: 290
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced :
% [337]
% composition(A,composition(B,composition(composition(C,V_3),V_4))) <->
% composition(composition(A,B),composition(C,composition(V_3,V_4)))
% Current number of equations to process: 288
% Current number of ordered equations: 3
% Current number of rules: 322
% New rule produced :
% [338]
% composition(A,composition(composition(B,composition(C,V_3)),V_4)) <->
% composition(composition(composition(A,B),C),composition(V_3,V_4))
% Current number of equations to process: 288
% Current number of ordered equations: 2
% Current number of rules: 323
% New rule produced :
% [339]
% composition(composition(A,B),composition(C,composition(V_3,V_4))) <->
% composition(A,composition(B,composition(composition(C,V_3),V_4)))
% Current number of equations to process: 288
% Current number of ordered equations: 1
% Current number of rules: 324
% New rule produced :
% [340]
% composition(composition(composition(A,B),C),composition(V_3,V_4)) <->
% composition(A,composition(composition(B,composition(C,V_3)),V_4))
% Current number of equations to process: 288
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced :
% [341]
% composition(A,composition(composition(composition(B,C),V_3),V_4)) <->
% composition(composition(composition(composition(A,B),C),V_3),V_4)
% Current number of equations to process: 285
% Current number of ordered equations: 5
% Current number of rules: 326
% New rule produced :
% [342]
% composition(A,composition(B,composition(composition(C,V_3),V_4))) <->
% composition(composition(composition(composition(A,B),C),V_3),V_4)
% Current number of equations to process: 285
% Current number of ordered equations: 4
% Current number of rules: 327
% New rule produced :
% [343]
% composition(A,composition(composition(B,composition(C,V_3)),V_4)) <->
% composition(composition(composition(A,composition(B,C)),V_3),V_4)
% Current number of equations to process: 285
% Current number of ordered equations: 3
% Current number of rules: 328
% New rule produced :
% [344]
% composition(composition(composition(A,composition(B,C)),V_3),V_4) <->
% composition(A,composition(composition(B,composition(C,V_3)),V_4))
% Current number of equations to process: 285
% Current number of ordered equations: 2
% Current number of rules: 329
% New rule produced :
% [345]
% composition(composition(composition(composition(A,B),C),V_3),V_4) <->
% composition(A,composition(composition(composition(B,C),V_3),V_4))
% Current number of equations to process: 285
% Current number of ordered equations: 1
% Current number of rules: 330
% New rule produced :
% [346]
% composition(composition(composition(composition(A,B),C),V_3),V_4) <->
% composition(A,composition(B,composition(composition(C,V_3),V_4)))
% Current number of equations to process: 285
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced :
% [347]
% composition(A,composition(composition(B,C),converse(composition(V_4,V_3))))
% <->
% composition(composition(A,B),composition(composition(C,converse(V_3)),
% converse(V_4)))
% Current number of equations to process: 288
% Current number of ordered equations: 5
% Current number of rules: 332
% New rule produced :
% [348]
% composition(A,converse(composition(B,composition(composition(C,V_3),V_4))))
% <->
% composition(composition(A,converse(composition(V_3,V_4))),converse(composition(B,C)))
% Current number of equations to process: 288
% Current number of ordered equations: 4
% Current number of rules: 333
% New rule produced :
% [349]
% composition(A,composition(composition(converse(composition(C,B)),V_3),V_4))
% <->
% composition(composition(composition(A,converse(B)),converse(C)),composition(V_3,V_4))
% Current number of equations to process: 288
% Current number of ordered equations: 3
% Current number of rules: 334
% New rule produced :
% [350]
% composition(composition(A,B),composition(composition(C,converse(V_3)),
% converse(V_4))) <->
% composition(A,composition(composition(B,C),converse(composition(V_4,V_3))))
% Current number of equations to process: 288
% Current number of ordered equations: 2
% Current number of rules: 335
% New rule produced :
% [351]
% composition(composition(A,converse(composition(V_3,V_4))),converse(composition(B,C)))
% <->
% composition(A,converse(composition(B,composition(composition(C,V_3),V_4))))
% Current number of equations to process: 288
% Current number of ordered equations: 1
% Current number of rules: 336
% New rule produced :
% [352]
% composition(composition(composition(A,converse(B)),converse(C)),composition(V_3,V_4))
% <->
% composition(A,composition(composition(converse(composition(C,B)),V_3),V_4))
% Current number of equations to process: 288
% Current number of ordered equations: 0
% Current number of rules: 337
% New rule produced :
% [353]
% composition(A,composition(composition(B,composition(C,converse(V_4))),
% converse(V_3))) <->
% composition(composition(A,B),composition(C,converse(composition(V_3,V_4))))
% Current number of equations to process: 286
% Current number of ordered equations: 3
% Current number of rules: 338
% New rule produced :
% [354]
% composition(composition(A,B),composition(C,converse(composition(V_3,V_4))))
% <->
% composition(A,composition(composition(B,composition(C,converse(V_4))),
% converse(V_3)))
% Current number of equations to process: 286
% Current number of ordered equations: 2
% Current number of rules: 339
% New rule produced :
% [355]
% composition(composition(A,converse(C)),composition(composition(converse(B),V_3),V_4))
% <->
% composition(composition(A,converse(composition(B,C))),composition(V_3,V_4))
% Current number of equations to process: 286
% Current number of ordered equations: 1
% Current number of rules: 340
% New rule produced :
% [356]
% composition(composition(A,converse(composition(B,C))),composition(V_3,V_4))
% <->
% composition(composition(A,converse(C)),composition(composition(converse(B),V_3),V_4))
% Current number of equations to process: 286
% Current number of ordered equations: 0
% Current number of rules: 341
% New rule produced :
% [357]
% composition(A,composition(composition(B,converse(V_3)),composition(converse(C),V_4)))
% <->
% composition(composition(A,B),composition(converse(composition(C,V_3)),V_4))
% Current number of equations to process: 284
% Current number of ordered equations: 3
% Current number of rules: 342
% New rule produced :
% [358]
% composition(composition(A,B),composition(converse(composition(C,V_3)),V_4))
% <->
% composition(A,composition(composition(B,converse(V_3)),composition(converse(C),V_4)))
% Current number of equations to process: 284
% Current number of ordered equations: 2
% Current number of rules: 343
% New rule produced :
% [359]
% composition(converse(B),composition(composition(composition(converse(A),C),V_3),V_4))
% <->
% composition(composition(converse(composition(A,B)),C),composition(V_3,V_4))
% Current number of equations to process: 284
% Current number of ordered equations: 1
% Current number of rules: 344
% New rule produced :
% [360]
% composition(composition(converse(composition(A,B)),C),composition(V_3,V_4))
% <->
% composition(converse(B),composition(composition(composition(converse(A),C),V_3),V_4))
% Current number of equations to process: 284
% Current number of ordered equations: 0
% Current number of rules: 345
% New rule produced :
% [361]
% composition(composition(converse(A),composition(converse(B),C)),composition(V_3,V_4))
% <->
% composition(converse(composition(B,A)),composition(composition(C,V_3),V_4))
% Current number of equations to process: 281
% Current number of ordered equations: 5
% Current number of rules: 346
% New rule produced :
% [362]
% composition(converse(composition(C,V_3)),composition(converse(composition(A,B)),V_4))
% <->
% composition(converse(composition(A,composition(composition(B,C),V_3))),V_4)
% Current number of equations to process: 281
% Current number of ordered equations: 4
% Current number of rules: 347
% New rule produced :
% [363]
% composition(A,composition(composition(B,converse(composition(V_3,C))),V_4))
% <->
% composition(composition(A,B),composition(converse(C),composition(converse(V_3),V_4)))
% Current number of equations to process: 281
% Current number of ordered equations: 3
% Current number of rules: 348
% New rule produced :
% [364]
% composition(composition(A,B),composition(converse(C),composition(converse(V_3),V_4)))
% <->
% composition(A,composition(composition(B,converse(composition(V_3,C))),V_4))
% Current number of equations to process: 281
% Current number of ordered equations: 2
% Current number of rules: 349
% New rule produced :
% [365]
% composition(converse(composition(B,A)),composition(composition(C,V_3),V_4))
% <->
% composition(composition(converse(A),composition(converse(B),C)),composition(V_3,V_4))
% Current number of equations to process: 281
% Current number of ordered equations: 1
% Current number of rules: 350
% New rule produced :
% [366]
% composition(converse(composition(A,composition(composition(B,C),V_3))),V_4)
% <->
% composition(converse(composition(C,V_3)),composition(converse(composition(A,B)),V_4))
% Current number of equations to process: 281
% Current number of ordered equations: 0
% Current number of rules: 351
% New rule produced :
% [367]
% composition(A,composition(composition(B,C),composition(composition(V_3,V_4),V_5)))
% <->
% composition(composition(A,B),composition(composition(C,V_3),composition(V_4,V_5)))
% Current number of equations to process: 278
% Current number of ordered equations: 5
% Current number of rules: 352
% New rule produced :
% [368]
% composition(A,composition(composition(B,composition(composition(C,V_3),V_4)),V_5))
% <->
% composition(composition(A,composition(B,C)),composition(composition(V_3,V_4),V_5))
% Current number of equations to process: 278
% Current number of ordered equations: 4
% Current number of rules: 353
% New rule produced :
% [369]
% composition(A,composition(composition(composition(composition(B,C),V_3),V_4),V_5))
% <->
% composition(composition(composition(A,B),composition(C,V_3)),composition(V_4,V_5))
% Current number of equations to process: 278
% Current number of ordered equations: 3
% Current number of rules: 354
% New rule produced :
% [370]
% composition(composition(A,composition(B,C)),composition(composition(V_3,V_4),V_5))
% <->
% composition(A,composition(composition(B,composition(composition(C,V_3),V_4)),V_5))
% Current number of equations to process: 278
% Current number of ordered equations: 2
% Current number of rules: 355
% New rule produced :
% [371]
% composition(composition(A,B),composition(composition(C,V_3),composition(V_4,V_5)))
% <->
% composition(A,composition(composition(B,C),composition(composition(V_3,V_4),V_5)))
% Current number of equations to process: 278
% Current number of ordered equations: 1
% Current number of rules: 356
% New rule produced :
% [372]
% composition(composition(composition(A,B),composition(C,V_3)),composition(V_4,V_5))
% <->
% composition(A,composition(composition(composition(composition(B,C),V_3),V_4),V_5))
% Current number of equations to process: 278
% Current number of ordered equations: 0
% Current number of rules: 357
% New rule produced :
% [373]
% composition(A,composition(composition(B,composition(C,V_3)),composition(V_4,V_5)))
% <->
% composition(composition(A,B),composition(C,composition(composition(V_3,V_4),V_5)))
% Current number of equations to process: 276
% Current number of ordered equations: 3
% Current number of rules: 358
% New rule produced :
% [374]
% composition(composition(A,B),composition(composition(composition(C,V_3),V_4),V_5))
% <->
% composition(composition(A,composition(composition(B,C),V_3)),composition(V_4,V_5))
% Current number of equations to process: 276
% Current number of ordered equations: 2
% Current number of rules: 359
% New rule produced :
% [375]
% composition(composition(A,B),composition(C,composition(composition(V_3,V_4),V_5)))
% <->
% composition(A,composition(composition(B,composition(C,V_3)),composition(V_4,V_5)))
% Current number of equations to process: 276
% Current number of ordered equations: 1
% Current number of rules: 360
% New rule produced :
% [376]
% composition(composition(A,composition(composition(B,C),V_3)),composition(V_4,V_5))
% <->
% composition(composition(A,B),composition(composition(composition(C,V_3),V_4),V_5))
% Current number of equations to process: 276
% Current number of ordered equations: 0
% Current number of rules: 361
% New rule produced :
% [377]
% composition(A,composition(composition(B,C),V_3) join composition(composition(V_4,C),V_3))
% <-> composition(composition(composition(A,B join V_4),C),V_3)
% Current number of equations to process: 275
% Current number of ordered equations: 1
% Current number of rules: 362
% New rule produced :
% [378]
% composition(composition(composition(A,B join V_4),C),V_3) <->
% composition(A,composition(composition(B,C),V_3) join composition(composition(V_4,C),V_3))
% Current number of equations to process: 275
% Current number of ordered equations: 0
% Current number of rules: 363
% New rule produced :
% [379]
% converse(composition(composition(composition(converse(A),B),C),V_3)) <->
% composition(converse(composition(composition(B,C),V_3)),A)
% Current number of equations to process: 314
% Current number of ordered equations: 1
% Current number of rules: 364
% New rule produced :
% [380]
% composition(converse(composition(composition(B,C),V_3)),A) <->
% converse(composition(composition(composition(converse(A),B),C),V_3))
% Current number of equations to process: 314
% Current number of ordered equations: 0
% Current number of rules: 365
% New rule produced :
% [381]
% composition(A,converse(composition(B,converse(composition(C,V_3))))) <->
% composition(composition(composition(A,C),V_3),converse(B))
% Current number of equations to process: 312
% Current number of ordered equations: 3
% Current number of rules: 366
% New rule produced :
% [382]
% composition(A,composition(converse(composition(B,converse(C))),V_3)) <->
% composition(composition(composition(A,C),converse(B)),V_3)
% Current number of equations to process: 312
% Current number of ordered equations: 2
% Current number of rules: 367
% New rule produced :
% [383]
% composition(composition(composition(A,C),V_3),converse(B)) <->
% composition(A,converse(composition(B,converse(composition(C,V_3)))))
% Current number of equations to process: 312
% Current number of ordered equations: 1
% Current number of rules: 368
% New rule produced :
% [384]
% composition(composition(composition(A,C),converse(B)),V_3) <->
% composition(A,composition(converse(composition(B,converse(C))),V_3))
% Current number of equations to process: 312
% Current number of ordered equations: 0
% Current number of rules: 369
% New rule produced :
% [385]
% converse(composition(converse(composition(composition(A,B),C)),V_3)) <->
% composition(composition(composition(converse(V_3),A),B),C)
% Current number of equations to process: 310
% Current number of ordered equations: 3
% Current number of rules: 370
% New rule produced :
% [386]
% composition(composition(composition(A,converse(C)),B),V_3) <->
% composition(A,composition(converse(composition(converse(B),C)),V_3))
% Current number of equations to process: 310
% Current number of ordered equations: 2
% Current number of rules: 371
% New rule produced :
% [387]
% composition(A,composition(converse(composition(converse(B),C)),V_3)) <->
% composition(composition(composition(A,converse(C)),B),V_3)
% Current number of equations to process: 310
% Current number of ordered equations: 1
% Current number of rules: 372
% New rule produced :
% [388]
% composition(composition(composition(converse(V_3),A),B),C) <->
% converse(composition(converse(composition(composition(A,B),C)),V_3))
% Current number of equations to process: 310
% Current number of ordered equations: 0
% Current number of rules: 373
% New rule produced :
% [389]
% composition(A,composition(composition(B,composition(C,V_3)),V_4)) <->
% composition(composition(composition(composition(A,B),C),V_3),V_4)
% Current number of equations to process: 309
% Current number of ordered equations: 1
% Current number of rules: 374
% New rule produced :
% [390]
% composition(composition(composition(composition(A,B),C),V_3),V_4) <->
% composition(A,composition(composition(B,composition(C,V_3)),V_4))
% Current number of equations to process: 309
% Current number of ordered equations: 0
% Current number of rules: 375
% New rule produced :
% [391]
% composition(A,composition(B,composition(C,composition(V_3,V_4)))) <->
% composition(composition(composition(A,B),composition(C,V_3)),V_4)
% Current number of equations to process: 306
% Current number of ordered equations: 5
% Current number of rules: 376
% New rule produced :
% [392]
% composition(A,composition(B,composition(C,composition(V_3,V_4)))) <->
% composition(composition(A,composition(composition(B,C),V_3)),V_4)
% Current number of equations to process: 306
% Current number of ordered equations: 4
% Current number of rules: 377
% New rule produced :
% [393]
% composition(A,composition(B,composition(C,composition(V_3,V_4)))) <->
% composition(composition(A,composition(B,composition(C,V_3))),V_4)
% Current number of equations to process: 306
% Current number of ordered equations: 3
% Current number of rules: 378
% New rule produced :
% [394]
% composition(composition(composition(A,B),composition(C,V_3)),V_4) <->
% composition(A,composition(B,composition(C,composition(V_3,V_4))))
% Current number of equations to process: 306
% Current number of ordered equations: 2
% Current number of rules: 379
% New rule produced :
% [395]
% composition(composition(A,composition(composition(B,C),V_3)),V_4) <->
% composition(A,composition(B,composition(C,composition(V_3,V_4))))
% Current number of equations to process: 306
% Current number of ordered equations: 1
% Current number of rules: 380
% New rule produced :
% [396]
% composition(composition(A,composition(B,composition(C,V_3))),V_4) <->
% composition(A,composition(B,composition(C,composition(V_3,V_4))))
% Current number of equations to process: 306
% Current number of ordered equations: 0
% Current number of rules: 381
% New rule produced :
% [397]
% composition(A,composition(B,composition(C,V_3) join composition(V_4,V_3)))
% <-> composition(composition(A,composition(B,C join V_4)),V_3)
% Current number of equations to process: 305
% Current number of ordered equations: 1
% Current number of rules: 382
% New rule produced :
% [398]
% composition(composition(A,composition(B,C join V_4)),V_3) <->
% composition(A,composition(B,composition(C,V_3) join composition(V_4,V_3)))
% Current number of equations to process: 305
% Current number of ordered equations: 0
% Current number of rules: 383
% New rule produced :
% [399]
% composition(composition(composition(A,B),converse(composition(V_3,C))),V_4)
% <->
% composition(A,composition(composition(composition(B,converse(C)),converse(V_3)),V_4))
% Current number of equations to process: 310
% Current number of ordered equations: 5
% Current number of rules: 384
% New rule produced :
% [400]
% composition(A,composition(composition(composition(B,converse(C)),converse(V_3)),V_4))
% <->
% composition(composition(composition(A,B),converse(composition(V_3,C))),V_4)
% Current number of equations to process: 310
% Current number of ordered equations: 4
% Current number of rules: 385
% New rule produced :
% [401]
% composition(A,composition(composition(composition(B,C),converse(V_3)),
% converse(V_4))) <->
% composition(composition(composition(A,B),C),converse(composition(V_4,V_3)))
% Current number of equations to process: 310
% Current number of ordered equations: 3
% Current number of rules: 386
% New rule produced :
% [402]
% composition(A,converse(composition(composition(composition(B,C),V_3),V_4)))
% <->
% composition(composition(A,converse(composition(composition(C,V_3),V_4))),
% converse(B))
% Current number of equations to process: 310
% Current number of ordered equations: 2
% Current number of rules: 387
% New rule produced :
% [403]
% composition(composition(composition(A,B),C),converse(composition(V_4,V_3)))
% <->
% composition(A,composition(composition(composition(B,C),converse(V_3)),
% converse(V_4)))
% Current number of equations to process: 310
% Current number of ordered equations: 1
% Current number of rules: 388
% New rule produced :
% [404]
% composition(composition(A,converse(composition(composition(C,V_3),V_4))),
% converse(B)) <->
% composition(A,converse(composition(composition(composition(B,C),V_3),V_4)))
% Current number of equations to process: 310
% Current number of ordered equations: 0
% Current number of rules: 389
% New rule produced :
% [405]
% composition(A,composition(composition(B,converse(composition(C,V_3))),V_4))
% <->
% composition(composition(composition(A,composition(B,converse(V_3))),converse(C)),V_4)
% Current number of equations to process: 309
% Current number of ordered equations: 1
% Current number of rules: 390
% New rule produced :
% [406]
% composition(composition(composition(A,composition(B,converse(V_3))),converse(C)),V_4)
% <->
% composition(A,composition(composition(B,converse(composition(C,V_3))),V_4))
% Current number of equations to process: 309
% Current number of ordered equations: 0
% Current number of rules: 391
% New rule produced :
% [407]
% composition(A,composition(composition(converse(composition(B,C)),V_3),V_4))
% <->
% composition(composition(composition(A,converse(C)),composition(converse(B),V_3)),V_4)
% Current number of equations to process: 307
% Current number of ordered equations: 3
% Current number of rules: 392
% New rule produced :
% [408]
% composition(converse(A),composition(composition(composition(converse(B),C),V_3),V_4))
% <->
% composition(converse(composition(B,A)),composition(composition(C,V_3),V_4))
% Current number of equations to process: 307
% Current number of ordered equations: 2
% Current number of rules: 393
% New rule produced :
% [409]
% composition(composition(composition(A,converse(C)),composition(converse(B),V_3)),V_4)
% <->
% composition(A,composition(composition(converse(composition(B,C)),V_3),V_4))
% Current number of equations to process: 307
% Current number of ordered equations: 1
% Current number of rules: 394
% New rule produced :
% [410]
% composition(converse(composition(B,A)),composition(composition(C,V_3),V_4))
% <->
% composition(converse(A),composition(composition(composition(converse(B),C),V_3),V_4))
% Current number of equations to process: 307
% Current number of ordered equations: 0
% Current number of rules: 395
% New rule produced :
% [411]
% composition(converse(composition(composition(B,C),V_3)),composition(converse(A),V_4))
% <->
% composition(converse(composition(composition(composition(A,B),C),V_3)),V_4)
% Current number of equations to process: 304
% Current number of ordered equations: 5
% Current number of rules: 396
% New rule produced :
% [412]
% composition(composition(composition(A,converse(composition(C,B))),V_3),V_4)
% <->
% composition(A,composition(composition(converse(B),composition(converse(C),V_3)),V_4))
% Current number of equations to process: 304
% Current number of ordered equations: 4
% Current number of rules: 397
% New rule produced :
% [413]
% composition(A,composition(composition(converse(B),composition(converse(C),V_3)),V_4))
% <->
% composition(composition(composition(A,converse(composition(C,B))),V_3),V_4)
% Current number of equations to process: 304
% Current number of ordered equations: 3
% Current number of rules: 398
% New rule produced :
% [414]
% composition(converse(A),composition(converse(B),composition(composition(C,V_3),V_4)))
% <->
% composition(composition(composition(converse(composition(B,A)),C),V_3),V_4)
% Current number of equations to process: 304
% Current number of ordered equations: 2
% Current number of rules: 399
% New rule produced :
% [415]
% composition(composition(composition(converse(composition(B,A)),C),V_3),V_4)
% <->
% composition(converse(A),composition(converse(B),composition(composition(C,V_3),V_4)))
% Current number of equations to process: 304
% Current number of ordered equations: 1
% Current number of rules: 400
% New rule produced :
% [416]
% composition(converse(composition(composition(composition(A,B),C),V_3)),V_4)
% <->
% composition(converse(composition(composition(B,C),V_3)),composition(converse(A),V_4))
% Current number of equations to process: 304
% Current number of ordered equations: 0
% Current number of rules: 401
% New rule produced :
% [417]
% composition(A,composition(composition(composition(B,C),composition(V_3,V_4)),V_5))
% <->
% composition(composition(composition(A,B),composition(composition(C,V_3),V_4)),V_5)
% Current number of equations to process: 300
% Current number of ordered equations: 7
% Current number of rules: 402
% New rule produced :
% [418]
% composition(A,composition(composition(composition(B,C),V_3),composition(V_4,V_5)))
% <->
% composition(composition(composition(A,B),C),composition(composition(V_3,V_4),V_5))
% Current number of equations to process: 300
% Current number of ordered equations: 6
% Current number of rules: 403
% New rule produced :
% [419]
% composition(A,composition(composition(composition(composition(B,C),V_3),V_4),V_5))
% <->
% composition(composition(A,B),composition(composition(composition(C,V_3),V_4),V_5))
% Current number of equations to process: 300
% Current number of ordered equations: 5
% Current number of rules: 404
% New rule produced :
% [420]
% composition(A,composition(composition(composition(composition(B,C),V_3),V_4),V_5))
% <->
% composition(composition(A,B),composition(C,composition(composition(V_3,V_4),V_5)))
% Current number of equations to process: 300
% Current number of ordered equations: 4
% Current number of rules: 405
% New rule produced :
% [421]
% composition(composition(A,B),composition(composition(composition(C,V_3),V_4),V_5))
% <->
% composition(A,composition(composition(composition(composition(B,C),V_3),V_4),V_5))
% Current number of equations to process: 300
% Current number of ordered equations: 3
% Current number of rules: 406
% New rule produced :
% [422]
% composition(composition(A,B),composition(C,composition(composition(V_3,V_4),V_5)))
% <->
% composition(A,composition(composition(composition(composition(B,C),V_3),V_4),V_5))
% Current number of equations to process: 300
% Current number of ordered equations: 2
% Current number of rules: 407
% New rule produced :
% [423]
% composition(composition(composition(A,B),C),composition(composition(V_3,V_4),V_5))
% <->
% composition(A,composition(composition(composition(B,C),V_3),composition(V_4,V_5)))
% Current number of equations to process: 300
% Current number of ordered equations: 1
% Current number of rules: 408
% New rule produced :
% [424]
% composition(composition(composition(A,B),composition(composition(C,V_3),V_4)),V_5)
% <->
% composition(A,composition(composition(composition(B,C),composition(V_3,V_4)),V_5))
% Current number of equations to process: 300
% Current number of ordered equations: 0
% Current number of rules: 409
% New rule produced :
% [425]
% composition(A,composition(composition(B,C),composition(composition(V_3,V_4),V_5)))
% <->
% composition(composition(A,B),composition(composition(composition(C,V_3),V_4),V_5))
% Current number of equations to process: 297
% Current number of ordered equations: 5
% Current number of rules: 410
% New rule produced :
% [426]
% composition(A,composition(composition(B,composition(composition(C,V_3),V_4)),V_5))
% <->
% composition(composition(composition(A,composition(B,C)),composition(V_3,V_4)),V_5)
% Current number of equations to process: 297
% Current number of ordered equations: 4
% Current number of rules: 411
% New rule produced :
% [427]
% composition(A,composition(composition(composition(composition(B,C),V_3),V_4),V_5))
% <->
% composition(composition(composition(composition(A,B),C),V_3),composition(V_4,V_5))
% Current number of equations to process: 297
% Current number of ordered equations: 3
% Current number of rules: 412
% New rule produced :
% [428]
% composition(composition(A,B),composition(composition(composition(C,V_3),V_4),V_5))
% <->
% composition(A,composition(composition(B,C),composition(composition(V_3,V_4),V_5)))
% Current number of equations to process: 297
% Current number of ordered equations: 2
% Current number of rules: 413
% New rule produced :
% [429]
% composition(composition(composition(composition(A,B),C),V_3),composition(V_4,V_5))
% <->
% composition(A,composition(composition(composition(composition(B,C),V_3),V_4),V_5))
% Current number of equations to process: 297
% Current number of ordered equations: 1
% Current number of rules: 414
% New rule produced :
% [430]
% composition(composition(composition(A,composition(B,C)),composition(V_3,V_4)),V_5)
% <->
% composition(A,composition(composition(B,composition(composition(C,V_3),V_4)),V_5))
% Current number of equations to process: 297
% Current number of ordered equations: 0
% Current number of rules: 415
% New rule produced :
% [431]
% composition(A,composition(composition(composition(composition(B,C),V_3),V_4),V_5))
% <->
% composition(composition(composition(A,B),C),composition(composition(V_3,V_4),V_5))
% Current number of equations to process: 295
% Current number of ordered equations: 3
% Current number of rules: 416
% New rule produced :
% [432]
% composition(A,composition(composition(composition(composition(B,C),V_3),V_4),V_5))
% <->
% composition(composition(composition(A,B),composition(composition(C,V_3),V_4)),V_5)
% Current number of equations to process: 295
% Current number of ordered equations: 2
% Current number of rules: 417
% New rule produced :
% [433]
% composition(composition(composition(A,B),C),composition(composition(V_3,V_4),V_5))
% <->
% composition(A,composition(composition(composition(composition(B,C),V_3),V_4),V_5))
% Current number of equations to process: 295
% Current number of ordered equations: 1
% Current number of rules: 418
% New rule produced :
% [434]
% composition(composition(composition(A,B),composition(composition(C,V_3),V_4)),V_5)
% <->
% composition(A,composition(composition(composition(composition(B,C),V_3),V_4),V_5))
% Current number of equations to process: 295
% Current number of ordered equations: 0
% Current number of rules: 419
% New rule produced :
% [435]
% converse(composition(composition(converse(A),composition(B,C)),V_3)) <->
% composition(converse(composition(B,composition(C,V_3))),A)
% Current number of equations to process: 339
% Current number of ordered equations: 1
% Current number of rules: 420
% New rule produced :
% [436]
% composition(converse(composition(B,composition(C,V_3))),A) <->
% converse(composition(composition(converse(A),composition(B,C)),V_3))
% Current number of equations to process: 339
% Current number of ordered equations: 0
% Current number of rules: 421
% New rule produced :
% [437]
% composition(A,composition(B,converse(composition(C,converse(V_3))))) <->
% composition(composition(A,composition(B,V_3)),converse(C))
% Current number of equations to process: 338
% Current number of ordered equations: 1
% Current number of rules: 422
% New rule produced :
% [438]
% composition(composition(A,composition(B,V_3)),converse(C)) <->
% composition(A,composition(B,converse(composition(C,converse(V_3)))))
% Current number of equations to process: 338
% Current number of ordered equations: 0
% Current number of rules: 423
% New rule produced :
% [439]
% composition(composition(A,composition(converse(V_3),B)),C) <->
% composition(A,converse(composition(converse(composition(B,C)),V_3)))
% Current number of equations to process: 335
% Current number of ordered equations: 5
% Current number of rules: 424
% New rule produced :
% [440]
% converse(composition(converse(composition(A,composition(B,C))),V_3)) <->
% composition(composition(converse(V_3),composition(A,B)),C)
% Current number of equations to process: 335
% Current number of ordered equations: 4
% Current number of rules: 425
% New rule produced :
% [441]
% composition(composition(A,composition(B,converse(V_3))),C) <->
% composition(A,composition(B,converse(composition(converse(C),V_3))))
% Current number of equations to process: 335
% Current number of ordered equations: 3
% Current number of rules: 426
% New rule produced :
% [442]
% composition(A,converse(composition(converse(composition(B,C)),V_3))) <->
% composition(composition(A,composition(converse(V_3),B)),C)
% Current number of equations to process: 335
% Current number of ordered equations: 2
% Current number of rules: 427
% New rule produced :
% [443]
% composition(A,composition(B,converse(composition(converse(C),V_3)))) <->
% composition(composition(A,composition(B,converse(V_3))),C)
% Current number of equations to process: 335
% Current number of ordered equations: 1
% Current number of rules: 428
% New rule produced :
% [444]
% composition(composition(converse(V_3),composition(A,B)),C) <->
% converse(composition(converse(composition(A,composition(B,C))),V_3))
% Current number of equations to process: 335
% Current number of ordered equations: 0
% Current number of rules: 429
% New rule produced :
% [445]
% composition(A,composition(composition(B,C),composition(V_3,V_4))) <->
% composition(composition(A,composition(B,composition(C,V_3))),V_4)
% Current number of equations to process: 333
% Current number of ordered equations: 3
% Current number of rules: 430
% New rule produced :
% [446]
% composition(composition(A,B),composition(C,composition(V_3,V_4))) <->
% composition(composition(A,composition(composition(B,C),V_3)),V_4)
% Current number of equations to process: 333
% Current number of ordered equations: 2
% Current number of rules: 431
% New rule produced :
% [447]
% composition(composition(A,composition(composition(B,C),V_3)),V_4) <->
% composition(composition(A,B),composition(C,composition(V_3,V_4)))
% Current number of equations to process: 333
% Current number of ordered equations: 1
% Current number of rules: 432
% New rule produced :
% [448]
% composition(composition(A,composition(B,composition(C,V_3))),V_4) <->
% composition(A,composition(composition(B,C),composition(V_3,V_4)))
% Current number of equations to process: 333
% Current number of ordered equations: 0
% Current number of rules: 433
% New rule produced :
% [449]
% composition(A,composition(composition(B,C),composition(V_3,V_4))) <->
% composition(composition(composition(A,B),composition(C,V_3)),V_4)
% Current number of equations to process: 331
% Current number of ordered equations: 3
% Current number of rules: 434
% New rule produced :
% [450]
% composition(A,composition(B,composition(composition(C,V_3),V_4))) <->
% composition(composition(A,composition(composition(B,C),V_3)),V_4)
% Current number of equations to process: 331
% Current number of ordered equations: 2
% Current number of rules: 435
% New rule produced :
% [451]
% composition(composition(composition(A,B),composition(C,V_3)),V_4) <->
% composition(A,composition(composition(B,C),composition(V_3,V_4)))
% Current number of equations to process: 331
% Current number of ordered equations: 1
% Current number of rules: 436
% New rule produced :
% [452]
% composition(composition(A,composition(composition(B,C),V_3)),V_4) <->
% composition(A,composition(B,composition(composition(C,V_3),V_4)))
% Current number of equations to process: 331
% Current number of ordered equations: 0
% Current number of rules: 437
% New rule produced :
% [453]
% composition(A,composition(composition(composition(B,C),V_3),V_4)) <->
% composition(composition(A,composition(B,composition(C,V_3))),V_4)
% Current number of equations to process: 329
% Current number of ordered equations: 3
% Current number of rules: 438
% New rule produced :
% [454]
% composition(composition(composition(A,B),C),composition(V_3,V_4)) <->
% composition(composition(A,composition(composition(B,C),V_3)),V_4)
% Current number of equations to process: 329
% Current number of ordered equations: 2
% Current number of rules: 439
% New rule produced :
% [455]
% composition(composition(A,composition(composition(B,C),V_3)),V_4) <->
% composition(composition(composition(A,B),C),composition(V_3,V_4))
% Current number of equations to process: 329
% Current number of ordered equations: 1
% Current number of rules: 440
% New rule produced :
% [456]
% composition(composition(A,composition(B,composition(C,V_3))),V_4) <->
% composition(A,composition(composition(composition(B,C),V_3),V_4))
% Current number of equations to process: 329
% Current number of ordered equations: 0
% Current number of rules: 441
% New rule produced :
% [457]
% composition(A,composition(B,composition(C,composition(V_3,V_4)))) <->
% composition(composition(composition(A,composition(B,C)),V_3),V_4)
% Current number of equations to process: 327
% Current number of ordered equations: 3
% Current number of rules: 442
% New rule produced :
% [458]
% composition(A,composition(B,composition(C,composition(V_3,V_4)))) <->
% composition(composition(composition(composition(A,B),C),V_3),V_4)
% Current number of equations to process: 327
% Current number of ordered equations: 2
% Current number of rules: 443
% New rule produced :
% [459]
% composition(composition(composition(A,composition(B,C)),V_3),V_4) <->
% composition(A,composition(B,composition(C,composition(V_3,V_4))))
% Current number of equations to process: 327
% Current number of ordered equations: 1
% Current number of rules: 444
% New rule produced :
% [460]
% composition(composition(composition(composition(A,B),C),V_3),V_4) <->
% composition(A,composition(B,composition(C,composition(V_3,V_4))))
% Current number of equations to process: 327
% Current number of ordered equations: 0
% Current number of rules: 445
% New rule produced :
% [461]
% composition(A,composition(B,composition(C,V_3) join composition(V_4,V_3)))
% <-> composition(composition(composition(A,B),C join V_4),V_3)
% Current number of equations to process: 326
% Current number of ordered equations: 1
% Current number of rules: 446
% New rule produced :
% [462]
% composition(composition(composition(A,B),C join V_4),V_3) <->
% composition(A,composition(B,composition(C,V_3) join composition(V_4,V_3)))
% Current number of equations to process: 326
% Current number of ordered equations: 0
% Current number of rules: 447
% New rule produced :
% [463]
% composition(A,composition(B,composition(composition(C,converse(V_3)),
% converse(V_4)))) <->
% composition(composition(A,composition(B,C)),converse(composition(V_4,V_3)))
% Current number of equations to process: 332
% Current number of ordered equations: 3
% Current number of rules: 448
% New rule produced :
% [464]
% composition(A,converse(composition(composition(B,composition(C,V_3)),V_4)))
% <->
% composition(composition(A,converse(composition(C,composition(V_3,V_4)))),
% converse(B))
% Current number of equations to process: 332
% Current number of ordered equations: 2
% Current number of rules: 449
% New rule produced :
% [465]
% composition(composition(A,composition(B,C)),converse(composition(V_4,V_3)))
% <->
% composition(A,composition(B,composition(composition(C,converse(V_3)),
% converse(V_4))))
% Current number of equations to process: 332
% Current number of ordered equations: 1
% Current number of rules: 450
% New rule produced :
% [466]
% composition(composition(A,converse(composition(C,composition(V_3,V_4)))),
% converse(B)) <->
% composition(A,converse(composition(composition(B,composition(C,V_3)),V_4)))
% Current number of equations to process: 332
% Current number of ordered equations: 0
% Current number of rules: 451
% New rule produced :
% [467]
% composition(A,composition(B,composition(C,converse(composition(V_3,V_4)))))
% <->
% composition(composition(A,composition(B,composition(C,converse(V_4)))),
% converse(V_3))
% Current number of equations to process: 331
% Current number of ordered equations: 1
% Current number of rules: 452
% New rule produced :
% [468]
% composition(composition(A,composition(B,composition(C,converse(V_4)))),
% converse(V_3)) <->
% composition(A,composition(B,composition(C,converse(composition(V_3,V_4)))))
% Current number of equations to process: 331
% Current number of ordered equations: 0
% Current number of rules: 453
% New rule produced :
% [469]
% composition(composition(A,composition(B,converse(V_3))),composition(converse(C),V_4))
% <->
% composition(A,composition(B,composition(converse(composition(C,V_3)),V_4)))
% Current number of equations to process: 329
% Current number of ordered equations: 3
% Current number of rules: 454
% New rule produced :
% [470]
% composition(A,composition(B,composition(converse(composition(C,V_3)),V_4)))
% <->
% composition(composition(A,composition(B,converse(V_3))),composition(converse(C),V_4))
% Current number of equations to process: 329
% Current number of ordered equations: 2
% Current number of rules: 455
% New rule produced :
% [471]
% composition(converse(A),composition(composition(converse(B),composition(C,V_3)),V_4))
% <->
% composition(converse(composition(B,A)),composition(C,composition(V_3,V_4)))
% Current number of equations to process: 329
% Current number of ordered equations: 1
% Current number of rules: 456
% New rule produced :
% [472]
% composition(converse(composition(B,A)),composition(C,composition(V_3,V_4)))
% <->
% composition(converse(A),composition(composition(converse(B),composition(C,V_3)),V_4))
% Current number of equations to process: 329
% Current number of ordered equations: 0
% Current number of rules: 457
% New rule produced :
% [473]
% composition(converse(composition(B,composition(C,V_3))),composition(converse(A),V_4))
% <->
% composition(converse(composition(composition(A,composition(B,C)),V_3)),V_4)
% Current number of equations to process: 325
% Current number of ordered equations: 7
% Current number of rules: 458
% New rule produced :
% [474]
% composition(composition(A,composition(B,converse(composition(V_3,C)))),V_4)
% <->
% composition(A,composition(B,composition(converse(C),composition(converse(V_3),V_4))))
% Current number of equations to process: 325
% Current number of ordered equations: 6
% Current number of rules: 459
% New rule produced :
% [475]
% composition(composition(A,composition(converse(composition(C,B)),V_3)),V_4)
% <->
% composition(A,composition(converse(B),composition(converse(C),composition(V_3,V_4))))
% Current number of equations to process: 325
% Current number of ordered equations: 5
% Current number of rules: 460
% New rule produced :
% [476]
% composition(A,composition(B,composition(converse(C),composition(converse(V_3),V_4))))
% <->
% composition(composition(A,composition(B,converse(composition(V_3,C)))),V_4)
% Current number of equations to process: 325
% Current number of ordered equations: 4
% Current number of rules: 461
% New rule produced :
% [477]
% composition(A,composition(converse(B),composition(converse(C),composition(V_3,V_4))))
% <->
% composition(composition(A,composition(converse(composition(C,B)),V_3)),V_4)
% Current number of equations to process: 325
% Current number of ordered equations: 3
% Current number of rules: 462
% New rule produced :
% [478]
% composition(converse(A),composition(converse(B),composition(C,composition(V_3,V_4))))
% <->
% composition(composition(converse(composition(B,A)),composition(C,V_3)),V_4)
% Current number of equations to process: 325
% Current number of ordered equations: 2
% Current number of rules: 463
% New rule produced :
% [479]
% composition(composition(converse(composition(B,A)),composition(C,V_3)),V_4)
% <->
% composition(converse(A),composition(converse(B),composition(C,composition(V_3,V_4))))
% Current number of equations to process: 325
% Current number of ordered equations: 1
% Current number of rules: 464
% New rule produced :
% [480]
% composition(converse(composition(composition(A,composition(B,C)),V_3)),V_4)
% <->
% composition(converse(composition(B,composition(C,V_3))),composition(converse(A),V_4))
% Current number of equations to process: 325
% Current number of ordered equations: 0
% Current number of rules: 465
% New rule produced :
% [481]
% composition(A,composition(composition(composition(B,C),composition(V_3,V_4)),V_5))
% <->
% composition(composition(A,B),composition(C,composition(V_3,composition(V_4,V_5))))
% Current number of equations to process: 322
% Current number of ordered equations: 5
% Current number of rules: 466
% New rule produced :
% [482]
% composition(A,composition(composition(composition(B,composition(C,V_3)),V_4),V_5))
% <->
% composition(composition(A,B),composition(composition(C,composition(V_3,V_4)),V_5))
% Current number of equations to process: 322
% Current number of ordered equations: 4
% Current number of rules: 467
% New rule produced :
% [483]
% composition(A,composition(B,composition(composition(C,V_3),composition(V_4,V_5))))
% <->
% composition(composition(A,composition(B,C)),composition(composition(V_3,V_4),V_5))
% Current number of equations to process: 322
% Current number of ordered equations: 3
% Current number of rules: 468
% New rule produced :
% [484]
% composition(composition(A,composition(B,C)),composition(composition(V_3,V_4),V_5))
% <->
% composition(A,composition(B,composition(composition(C,V_3),composition(V_4,V_5))))
% Current number of equations to process: 322
% Current number of ordered equations: 2
% Current number of rules: 469
% New rule produced :
% [485]
% composition(composition(A,B),composition(composition(C,composition(V_3,V_4)),V_5))
% <->
% composition(A,composition(composition(composition(B,composition(C,V_3)),V_4),V_5))
% Current number of equations to process: 322
% Current number of ordered equations: 1
% Current number of rules: 470
% New rule produced :
% [486]
% composition(composition(A,B),composition(C,composition(V_3,composition(V_4,V_5))))
% <->
% composition(A,composition(composition(composition(B,C),composition(V_3,V_4)),V_5))
% Current number of equations to process: 322
% Current number of ordered equations: 0
% Current number of rules: 471
% New rule produced :
% [487]
% composition(A,composition(B,composition(C,composition(composition(V_3,V_4),V_5))))
% <->
% composition(composition(A,composition(B,composition(C,V_3))),composition(V_4,V_5))
% Current number of equations to process: 319
% Current number of ordered equations: 5
% Current number of rules: 472
% New rule produced :
% [488]
% composition(A,composition(composition(B,C),composition(V_3,composition(V_4,V_5))))
% <->
% composition(composition(A,B),composition(composition(C,composition(V_3,V_4)),V_5))
% Current number of equations to process: 319
% Current number of ordered equations: 4
% Current number of rules: 473
% New rule produced :
% [489]
% composition(A,composition(composition(composition(B,composition(C,V_3)),V_4),V_5))
% <->
% composition(composition(composition(A,composition(B,C)),V_3),composition(V_4,V_5))
% Current number of equations to process: 319
% Current number of ordered equations: 3
% Current number of rules: 474
% New rule produced :
% [490]
% composition(composition(A,B),composition(composition(C,composition(V_3,V_4)),V_5))
% <->
% composition(A,composition(composition(B,C),composition(V_3,composition(V_4,V_5))))
% Current number of equations to process: 319
% Current number of ordered equations: 2
% Current number of rules: 475
% New rule produced :
% [491]
% composition(composition(composition(A,composition(B,C)),V_3),composition(V_4,V_5))
% <->
% composition(A,composition(composition(composition(B,composition(C,V_3)),V_4),V_5))
% Current number of equations to process: 319
% Current number of ordered equations: 1
% Current number of rules: 476
% New rule produced :
% [492]
% composition(composition(A,composition(B,composition(C,V_3))),composition(V_4,V_5))
% <->
% composition(A,composition(B,composition(C,composition(composition(V_3,V_4),V_5))))
% Current number of equations to process: 319
% Current number of ordered equations: 0
% Current number of rules: 477
% New rule produced :
% [493]
% composition(A,composition(composition(composition(B,C),composition(V_3,V_4)),V_5))
% <->
% composition(composition(composition(A,B),C),composition(V_3,composition(V_4,V_5)))
% Current number of equations to process: 316
% Current number of ordered equations: 5
% Current number of rules: 478
% New rule produced :
% [494]
% composition(A,composition(B,composition(composition(composition(C,V_3),V_4),V_5)))
% <->
% composition(composition(A,composition(B,C)),composition(composition(V_3,V_4),V_5))
% Current number of equations to process: 316
% Current number of ordered equations: 4
% Current number of rules: 479
% New rule produced :
% [495]
% composition(A,composition(composition(composition(B,composition(C,V_3)),V_4),V_5))
% <->
% composition(composition(composition(A,B),composition(C,composition(V_3,V_4))),V_5)
% Current number of equations to process: 316
% Current number of ordered equations: 3
% Current number of rules: 480
% New rule produced :
% [496]
% composition(composition(A,composition(B,C)),composition(composition(V_3,V_4),V_5))
% <->
% composition(A,composition(B,composition(composition(composition(C,V_3),V_4),V_5)))
% Current number of equations to process: 316
% Current number of ordered equations: 2
% Current number of rules: 481
% New rule produced :
% [497]
% composition(composition(composition(A,B),C),composition(V_3,composition(V_4,V_5)))
% <->
% composition(A,composition(composition(composition(B,C),composition(V_3,V_4)),V_5))
% Current number of equations to process: 316
% Current number of ordered equations: 1
% Current number of rules: 482
% New rule produced :
% [498]
% composition(composition(composition(A,B),composition(C,composition(V_3,V_4))),V_5)
% <->
% composition(A,composition(composition(composition(B,composition(C,V_3)),V_4),V_5))
% Current number of equations to process: 316
% Current number of ordered equations: 0
% Current number of rules: 483
% New rule produced :
% [499]
% composition(A,composition(B,composition(composition(C,composition(V_3,V_4)),V_5)))
% <->
% composition(composition(A,composition(B,C)),composition(V_3,composition(V_4,V_5)))
% Current number of equations to process: 315
% Current number of ordered equations: 1
% Current number of rules: 484
% New rule produced :
% [500]
% composition(composition(A,composition(B,C)),composition(V_3,composition(V_4,V_5)))
% <->
% composition(A,composition(B,composition(composition(C,composition(V_3,V_4)),V_5)))
% Current number of equations to process: 315
% Current number of ordered equations: 0
% Current number of rules: 485
% New rule produced :
% [501]
% composition(A,composition(B,composition(C,V_3)) join composition(V_4,
% composition(C,V_3))) <->
% composition(composition(composition(A,B join V_4),C),V_3)
% Current number of equations to process: 314
% Current number of ordered equations: 1
% Current number of rules: 486
% New rule produced :
% [502]
% composition(composition(composition(A,B join V_4),C),V_3) <->
% composition(A,composition(B,composition(C,V_3)) join composition(V_4,
% composition(C,V_3)))
% Current number of equations to process: 314
% Current number of ordered equations: 0
% Current number of rules: 487
% New rule produced :
% [503]
% converse(composition(composition(composition(converse(A),B),C),V_3)) <->
% composition(converse(composition(B,composition(C,V_3))),A)
% Current number of equations to process: 357
% Current number of ordered equations: 1
% Current number of rules: 488
% New rule produced :
% [504]
% composition(converse(composition(B,composition(C,V_3))),A) <->
% converse(composition(composition(composition(converse(A),B),C),V_3))
% Current number of equations to process: 357
% Current number of ordered equations: 0
% Current number of rules: 489
% New rule produced :
% [505]
% composition(A,composition(B,converse(composition(C,converse(V_3))))) <->
% composition(composition(composition(A,B),V_3),converse(C))
% Current number of equations to process: 356
% Current number of ordered equations: 1
% Current number of rules: 490
% New rule produced :
% [506]
% composition(composition(composition(A,B),V_3),converse(C)) <->
% composition(A,composition(B,converse(composition(C,converse(V_3)))))
% Current number of equations to process: 356
% Current number of ordered equations: 0
% Current number of rules: 491
% New rule produced :
% [507]
% converse(composition(converse(composition(A,composition(B,C))),V_3)) <->
% composition(composition(composition(converse(V_3),A),B),C)
% Current number of equations to process: 353
% Current number of ordered equations: 5
% Current number of rules: 492
% New rule produced :
% [508]
% composition(composition(composition(A,converse(V_3)),B),C) <->
% composition(A,converse(composition(converse(composition(B,C)),V_3)))
% Current number of equations to process: 353
% Current number of ordered equations: 4
% Current number of rules: 493
% New rule produced :
% [509]
% composition(composition(composition(A,B),converse(V_3)),C) <->
% composition(A,composition(B,converse(composition(converse(C),V_3))))
% Current number of equations to process: 353
% Current number of ordered equations: 3
% Current number of rules: 494
% New rule produced :
% [510]
% composition(A,converse(composition(converse(composition(B,C)),V_3))) <->
% composition(composition(composition(A,converse(V_3)),B),C)
% Current number of equations to process: 353
% Current number of ordered equations: 2
% Current number of rules: 495
% New rule produced :
% [511]
% composition(A,composition(B,converse(composition(converse(C),V_3)))) <->
% composition(composition(composition(A,B),converse(V_3)),C)
% Current number of equations to process: 353
% Current number of ordered equations: 1
% Current number of rules: 496
% New rule produced :
% [512]
% composition(composition(composition(converse(V_3),A),B),C) <->
% converse(composition(converse(composition(A,composition(B,C))),V_3))
% Current number of equations to process: 353
% Current number of ordered equations: 0
% Current number of rules: 497
% New rule produced :
% [513]
% composition(composition(A,B),composition(C,composition(V_3,V_4))) <->
% composition(composition(composition(A,composition(B,C)),V_3),V_4)
% Current number of equations to process: 352
% Current number of ordered equations: 1
% Current number of rules: 498
% New rule produced :
% [514]
% composition(composition(composition(A,composition(B,C)),V_3),V_4) <->
% composition(composition(A,B),composition(C,composition(V_3,V_4)))
% Current number of equations to process: 352
% Current number of ordered equations: 0
% Current number of rules: 499
% New rule produced :
% [515]
% composition(A,composition(composition(B,C),composition(V_3,V_4))) <->
% composition(composition(composition(composition(A,B),C),V_3),V_4)
% Current number of equations to process: 350
% Current number of ordered equations: 3
% Current number of rules: 500
% New rule produced :
% [516]
% composition(A,composition(B,composition(composition(C,V_3),V_4))) <->
% composition(composition(composition(A,composition(B,C)),V_3),V_4)
% Current number of equations to process: 350
% Current number of ordered equations: 2
% Current number of rules: 501
% New rule produced :
% [517]
% composition(composition(composition(A,composition(B,C)),V_3),V_4) <->
% composition(A,composition(B,composition(composition(C,V_3),V_4)))
% Current number of equations to process: 350
% Current number of ordered equations: 1
% Current number of rules: 502
% New rule produced :
% [518]
% composition(composition(composition(composition(A,B),C),V_3),V_4) <->
% composition(A,composition(composition(B,C),composition(V_3,V_4)))
% Current number of equations to process: 350
% Current number of ordered equations: 0
% Current number of rules: 503
% New rule produced :
% [519]
% composition(composition(composition(A,B),C),composition(V_3,V_4)) <->
% composition(composition(composition(A,composition(B,C)),V_3),V_4)
% Current number of equations to process: 349
% Current number of ordered equations: 1
% Current number of rules: 504
% New rule produced :
% [520]
% composition(composition(composition(A,composition(B,C)),V_3),V_4) <->
% composition(composition(composition(A,B),C),composition(V_3,V_4))
% Current number of equations to process: 349
% Current number of ordered equations: 0
% Current number of rules: 505
% New rule produced :
% [521]
% composition(composition(A,composition(B,C)),composition(V_3,V_4)) <->
% composition(composition(A,composition(B,composition(C,V_3))),V_4)
% Current number of equations to process: 347
% Current number of ordered equations: 3
% Current number of rules: 506
% New rule produced :
% [522]
% composition(composition(A,B),composition(C,composition(V_3,V_4))) <->
% composition(composition(A,composition(B,composition(C,V_3))),V_4)
% Current number of equations to process: 347
% Current number of ordered equations: 2
% Current number of rules: 507
% New rule produced :
% [523]
% composition(composition(A,composition(B,composition(C,V_3))),V_4) <->
% composition(composition(A,composition(B,C)),composition(V_3,V_4))
% Current number of equations to process: 347
% Current number of ordered equations: 1
% Current number of rules: 508
% New rule produced :
% [524]
% composition(composition(A,composition(B,composition(C,V_3))),V_4) <->
% composition(composition(A,B),composition(C,composition(V_3,V_4)))
% Current number of equations to process: 347
% Current number of ordered equations: 0
% Current number of rules: 509
% New rule produced :
% [525]
% composition(A,composition(B,composition(composition(C,converse(V_3)),
% converse(V_4)))) <->
% composition(composition(composition(A,B),C),converse(composition(V_4,V_3)))
% Current number of equations to process: 351
% Current number of ordered equations: 3
% Current number of rules: 510
% New rule produced :
% [526]
% composition(A,converse(composition(composition(composition(B,C),V_3),V_4)))
% <->
% composition(composition(A,converse(composition(C,composition(V_3,V_4)))),
% converse(B))
% Current number of equations to process: 351
% Current number of ordered equations: 2
% Current number of rules: 511
% New rule produced :
% [527]
% composition(composition(composition(A,B),C),converse(composition(V_4,V_3)))
% <->
% composition(A,composition(B,composition(composition(C,converse(V_3)),
% converse(V_4))))
% Current number of equations to process: 351
% Current number of ordered equations: 1
% Current number of rules: 512
% New rule produced :
% [528]
% composition(composition(A,converse(composition(C,composition(V_3,V_4)))),
% converse(B)) <->
% composition(A,converse(composition(composition(composition(B,C),V_3),V_4)))
% Current number of equations to process: 351
% Current number of ordered equations: 0
% Current number of rules: 513
% New rule produced :
% [529]
% composition(A,composition(B,composition(C,converse(composition(V_3,V_4)))))
% <->
% composition(composition(composition(A,B),composition(C,converse(V_4))),
% converse(V_3))
% Current number of equations to process: 350
% Current number of ordered equations: 1
% Current number of rules: 514
% New rule produced :
% [530]
% composition(composition(composition(A,B),composition(C,converse(V_4))),
% converse(V_3)) <->
% composition(A,composition(B,composition(C,converse(composition(V_3,V_4)))))
% Current number of equations to process: 350
% Current number of ordered equations: 0
% Current number of rules: 515
% New rule produced :
% [531]
% composition(composition(composition(A,B),converse(V_3)),composition(converse(C),V_4))
% <->
% composition(A,composition(B,composition(converse(composition(C,V_3)),V_4)))
% Current number of equations to process: 348
% Current number of ordered equations: 3
% Current number of rules: 516
% New rule produced :
% [532]
% composition(A,composition(B,composition(converse(composition(C,V_3)),V_4)))
% <->
% composition(composition(composition(A,B),converse(V_3)),composition(converse(C),V_4))
% Current number of equations to process: 348
% Current number of ordered equations: 2
% Current number of rules: 517
% New rule produced :
% [533]
% composition(converse(A),composition(composition(composition(converse(B),C),V_3),V_4))
% <->
% composition(converse(composition(B,A)),composition(C,composition(V_3,V_4)))
% Current number of equations to process: 348
% Current number of ordered equations: 1
% Current number of rules: 518
% New rule produced :
% [534]
% composition(converse(composition(B,A)),composition(C,composition(V_3,V_4)))
% <->
% composition(converse(A),composition(composition(composition(converse(B),C),V_3),V_4))
% Current number of equations to process: 348
% Current number of ordered equations: 0
% Current number of rules: 519
% New rule produced :
% [535]
% composition(composition(composition(A,B),converse(composition(V_3,C))),V_4)
% <->
% composition(A,composition(B,composition(converse(C),composition(converse(V_3),V_4))))
% Current number of equations to process: 344
% Current number of ordered equations: 7
% Current number of rules: 520
% New rule produced :
% [536]
% composition(converse(composition(B,composition(C,V_3))),composition(converse(A),V_4))
% <->
% composition(converse(composition(composition(composition(A,B),C),V_3)),V_4)
% Current number of equations to process: 344
% Current number of ordered equations: 6
% Current number of rules: 521
% New rule produced :
% [537]
% composition(composition(composition(A,converse(composition(C,B))),V_3),V_4)
% <->
% composition(A,composition(converse(B),composition(converse(C),composition(V_3,V_4))))
% Current number of equations to process: 344
% Current number of ordered equations: 5
% Current number of rules: 522
% New rule produced :
% [538]
% composition(A,composition(B,composition(converse(C),composition(converse(V_3),V_4))))
% <->
% composition(composition(composition(A,B),converse(composition(V_3,C))),V_4)
% Current number of equations to process: 344
% Current number of ordered equations: 4
% Current number of rules: 523
% New rule produced :
% [539]
% composition(A,composition(converse(B),composition(converse(C),composition(V_3,V_4))))
% <->
% composition(composition(composition(A,converse(composition(C,B))),V_3),V_4)
% Current number of equations to process: 344
% Current number of ordered equations: 3
% Current number of rules: 524
% New rule produced :
% [540]
% composition(converse(A),composition(converse(B),composition(C,composition(V_3,V_4))))
% <->
% composition(composition(composition(converse(composition(B,A)),C),V_3),V_4)
% Current number of equations to process: 344
% Current number of ordered equations: 2
% Current number of rules: 525
% New rule produced :
% [541]
% composition(composition(composition(converse(composition(B,A)),C),V_3),V_4)
% <->
% composition(converse(A),composition(converse(B),composition(C,composition(V_3,V_4))))
% Current number of equations to process: 344
% Current number of ordered equations: 1
% Current number of rules: 526
% New rule produced :
% [542]
% composition(converse(composition(composition(composition(A,B),C),V_3)),V_4)
% <->
% composition(converse(composition(B,composition(C,V_3))),composition(converse(A),V_4))
% Current number of equations to process: 344
% Current number of ordered equations: 0
% Current number of rules: 527
% New rule produced :
% [543]
% composition(A,composition(composition(composition(composition(B,C),V_3),V_4),V_5))
% <->
% composition(composition(A,B),composition(composition(C,composition(V_3,V_4)),V_5))
% Current number of equations to process: 341
% Current number of ordered equations: 5
% Current number of rules: 528
% New rule produced :
% [544]
% composition(A,composition(composition(composition(composition(B,C),V_3),V_4),V_5))
% <->
% composition(composition(A,B),composition(C,composition(V_3,composition(V_4,V_5))))
% Current number of equations to process: 341
% Current number of ordered equations: 4
% Current number of rules: 529
% New rule produced :
% [545]
% composition(A,composition(B,composition(composition(C,V_3),composition(V_4,V_5))))
% <->
% composition(composition(composition(A,B),C),composition(composition(V_3,V_4),V_5))
% Current number of equations to process: 341
% Current number of ordered equations: 3
% Current number of rules: 530
% New rule produced :
% [546]
% composition(composition(A,B),composition(composition(C,composition(V_3,V_4)),V_5))
% <->
% composition(A,composition(composition(composition(composition(B,C),V_3),V_4),V_5))
% Current number of equations to process: 341
% Current number of ordered equations: 2
% Current number of rules: 531
% New rule produced :
% [547]
% composition(composition(A,B),composition(C,composition(V_3,composition(V_4,V_5))))
% <->
% composition(A,composition(composition(composition(composition(B,C),V_3),V_4),V_5))
% Current number of equations to process: 341
% Current number of ordered equations: 1
% Current number of rules: 532
% New rule produced :
% [548]
% composition(composition(composition(A,B),C),composition(composition(V_3,V_4),V_5))
% <->
% composition(A,composition(B,composition(composition(C,V_3),composition(V_4,V_5))))
% Current number of equations to process: 341
% Current number of ordered equations: 0
% Current number of rules: 533
% New rule produced :
% [549]
% composition(A,composition(B,composition(C,composition(composition(V_3,V_4),V_5))))
% <->
% composition(composition(composition(A,B),composition(C,V_3)),composition(V_4,V_5))
% Current number of equations to process: 338
% Current number of ordered equations: 5
% Current number of rules: 534
% New rule produced :
% [550]
% composition(A,composition(composition(B,C),composition(V_3,composition(V_4,V_5))))
% <->
% composition(composition(A,B),composition(composition(composition(C,V_3),V_4),V_5))
% Current number of equations to process: 338
% Current number of ordered equations: 4
% Current number of rules: 535
% New rule produced :
% [551]
% composition(A,composition(composition(composition(B,composition(C,V_3)),V_4),V_5))
% <->
% composition(composition(composition(composition(A,B),C),V_3),composition(V_4,V_5))
% Current number of equations to process: 338
% Current number of ordered equations: 3
% Current number of rules: 536
% New rule produced :
% [552]
% composition(composition(A,B),composition(composition(composition(C,V_3),V_4),V_5))
% <->
% composition(A,composition(composition(B,C),composition(V_3,composition(V_4,V_5))))
% Current number of equations to process: 338
% Current number of ordered equations: 2
% Current number of rules: 537
% New rule produced :
% [553]
% composition(composition(composition(A,B),composition(C,V_3)),composition(V_4,V_5))
% <->
% composition(A,composition(B,composition(C,composition(composition(V_3,V_4),V_5))))
% Current number of equations to process: 338
% Current number of ordered equations: 1
% Current number of rules: 538
% New rule produced :
% [554]
% composition(composition(composition(composition(A,B),C),V_3),composition(V_4,V_5))
% <->
% composition(A,composition(composition(composition(B,composition(C,V_3)),V_4),V_5))
% Current number of equations to process: 338
% Current number of ordered equations: 0
% Current number of rules: 539
% New rule produced :
% [555]
% composition(A,composition(B,composition(composition(composition(C,V_3),V_4),V_5)))
% <->
% composition(composition(composition(A,B),C),composition(composition(V_3,V_4),V_5))
% Current number of equations to process: 335
% Current number of ordered equations: 5
% Current number of rules: 540
% New rule produced :
% [556]
% composition(A,composition(composition(composition(composition(B,C),V_3),V_4),V_5))
% <->
% composition(composition(composition(A,B),C),composition(V_3,composition(V_4,V_5)))
% Current number of equations to process: 335
% Current number of ordered equations: 4
% Current number of rules: 541
% New rule produced :
% [557]
% composition(A,composition(composition(composition(composition(B,C),V_3),V_4),V_5))
% <->
% composition(composition(composition(A,B),composition(C,composition(V_3,V_4))),V_5)
% Current number of equations to process: 335
% Current number of ordered equations: 3
% Current number of rules: 542
% New rule produced :
% [558]
% composition(composition(composition(A,B),C),composition(composition(V_3,V_4),V_5))
% <->
% composition(A,composition(B,composition(composition(composition(C,V_3),V_4),V_5)))
% Current number of equations to process: 335
% Current number of ordered equations: 2
% Current number of rules: 543
% New rule produced :
% [559]
% composition(composition(composition(A,B),C),composition(V_3,composition(V_4,V_5)))
% <->
% composition(A,composition(composition(composition(composition(B,C),V_3),V_4),V_5))
% Current number of equations to process: 335
% Current number of ordered equations: 1
% Current number of rules: 544
% New rule produced :
% [560]
% composition(composition(composition(A,B),composition(C,composition(V_3,V_4))),V_5)
% <->
% composition(A,composition(composition(composition(composition(B,C),V_3),V_4),V_5))
% Current number of equations to process: 335
% Current number of ordered equations: 0
% Current number of rules: 545
% New rule produced :
% [561]
% composition(A,composition(B,composition(composition(composition(C,V_3),V_4),V_5)))
% <->
% composition(composition(A,composition(B,C)),composition(V_3,composition(V_4,V_5)))
% Current number of equations to process: 333
% Current number of ordered equations: 3
% Current number of rules: 546
% New rule produced :
% [562]
% composition(A,composition(B,composition(composition(C,composition(V_3,V_4)),V_5)))
% <->
% composition(composition(composition(A,B),C),composition(V_3,composition(V_4,V_5)))
% Current number of equations to process: 333
% Current number of ordered equations: 2
% Current number of rules: 547
% New rule produced :
% [563]
% composition(composition(A,composition(B,C)),composition(V_3,composition(V_4,V_5)))
% <->
% composition(A,composition(B,composition(composition(composition(C,V_3),V_4),V_5)))
% Current number of equations to process: 333
% Current number of ordered equations: 1
% Current number of rules: 548
% New rule produced :
% [564]
% composition(composition(composition(A,B),C),composition(V_3,composition(V_4,V_5)))
% <->
% composition(A,composition(B,composition(composition(C,composition(V_3,V_4)),V_5)))
% Current number of equations to process: 333
% Current number of ordered equations: 0
% Current number of rules: 549
% New rule produced :
% [565]
% composition(A,composition(B,composition(composition(composition(C,V_3),V_4),V_5)))
% <->
% composition(composition(composition(A,B),C),composition(V_3,composition(V_4,V_5)))
% Current number of equations to process: 332
% Current number of ordered equations: 1
% Current number of rules: 550
% New rule produced :
% [566]
% composition(composition(composition(A,B),C),composition(V_3,composition(V_4,V_5)))
% <->
% composition(A,composition(B,composition(composition(composition(C,V_3),V_4),V_5)))
% Current number of equations to process: 332
% Current number of ordered equations: 0
% Current number of rules: 551
% New rule produced :
% [567]
% converse(composition(A,composition(B,composition(C,converse(V_3))))) <->
% composition(V_3,converse(composition(A,composition(B,C))))
% Current number of equations to process: 375
% Current number of ordered equations: 1
% Current number of rules: 552
% New rule produced :
% [568]
% composition(V_3,converse(composition(A,composition(B,C)))) <->
% converse(composition(A,composition(B,composition(C,converse(V_3)))))
% Current number of equations to process: 375
% Current number of ordered equations: 0
% Current number of rules: 553
% New rule produced :
% [569]
% converse(composition(A,converse(composition(B,composition(C,V_3))))) <->
% composition(B,composition(C,composition(V_3,converse(A))))
% Current number of equations to process: 373
% Current number of ordered equations: 3
% Current number of rules: 554
% New rule produced :
% [570]
% composition(composition(A,converse(composition(B,converse(C)))),V_3) <->
% composition(A,composition(C,composition(converse(B),V_3)))
% Current number of equations to process: 373
% Current number of ordered equations: 2
% Current number of rules: 555
% New rule produced :
% [571]
% composition(A,composition(C,composition(converse(B),V_3))) <->
% composition(composition(A,converse(composition(B,converse(C)))),V_3)
% Current number of equations to process: 373
% Current number of ordered equations: 1
% Current number of rules: 556
% New rule produced :
% [572]
% composition(B,composition(C,composition(V_3,converse(A)))) <->
% converse(composition(A,converse(composition(B,composition(C,V_3)))))
% Current number of equations to process: 373
% Current number of ordered equations: 0
% Current number of rules: 557
% New rule produced :
% [573]
% composition(composition(A,converse(composition(converse(B),C))),V_3) <->
% composition(A,composition(converse(C),composition(B,V_3)))
% Current number of equations to process: 371
% Current number of ordered equations: 3
% Current number of rules: 558
% New rule produced :
% [574]
% composition(A,composition(converse(C),composition(B,V_3))) <->
% composition(composition(A,converse(composition(converse(B),C))),V_3)
% Current number of equations to process: 371
% Current number of ordered equations: 2
% Current number of rules: 559
% New rule produced :
% [575]
% composition(converse(C),composition(A,composition(B,V_3))) <->
% composition(converse(composition(converse(composition(A,B)),C)),V_3)
% Current number of equations to process: 371
% Current number of ordered equations: 1
% Current number of rules: 560
% New rule produced :
% [576]
% composition(converse(composition(converse(composition(A,B)),C)),V_3) <->
% composition(converse(C),composition(A,composition(B,V_3)))
% Current number of equations to process: 371
% Current number of ordered equations: 0
% Current number of rules: 561
% New rule produced :
% [577]
% composition(A,composition(B,composition(C,composition(V_3,V_4)))) <->
% composition(composition(A,B),composition(composition(C,V_3),V_4))
% Current number of equations to process: 370
% Current number of ordered equations: 1
% Current number of rules: 562
% New rule produced :
% [578]
% composition(composition(A,B),composition(composition(C,V_3),V_4)) <->
% composition(A,composition(B,composition(C,composition(V_3,V_4))))
% Current number of equations to process: 370
% Current number of ordered equations: 0
% Current number of rules: 563
% New rule produced :
% [579]
% composition(composition(A,B),composition(composition(C,V_3),V_4)) <->
% composition(composition(composition(A,composition(B,C)),V_3),V_4)
% Current number of equations to process: 369
% Current number of ordered equations: 1
% Current number of rules: 564
% New rule produced :
% [580]
% composition(composition(composition(A,composition(B,C)),V_3),V_4) <->
% composition(composition(A,B),composition(composition(C,V_3),V_4))
% Current number of equations to process: 369
% Current number of ordered equations: 0
% Current number of rules: 565
% New rule produced :
% [581]
% composition(composition(A,composition(composition(B,converse(C)),converse(V_3))),V_4)
% <->
% composition(A,composition(B,composition(converse(composition(V_3,C)),V_4)))
% Current number of equations to process: 374
% Current number of ordered equations: 5
% Current number of rules: 566
% New rule produced :
% [582]
% composition(A,composition(B,composition(converse(composition(V_3,C)),V_4)))
% <->
% composition(composition(A,composition(composition(B,converse(C)),converse(V_3))),V_4)
% Current number of equations to process: 374
% Current number of ordered equations: 4
% Current number of rules: 567
% New rule produced :
% [583]
% composition(A,composition(B,composition(C,converse(composition(V_4,V_3)))))
% <->
% composition(composition(composition(A,composition(B,C)),converse(V_3)),
% converse(V_4))
% Current number of equations to process: 374
% Current number of ordered equations: 3
% Current number of rules: 568
% New rule produced :
% [584]
% composition(A,converse(composition(B,composition(C,composition(V_3,V_4)))))
% <->
% composition(composition(A,converse(V_4)),converse(composition(B,composition(C,V_3))))
% Current number of equations to process: 374
% Current number of ordered equations: 2
% Current number of rules: 569
% New rule produced :
% [585]
% composition(composition(A,converse(V_4)),converse(composition(B,composition(C,V_3))))
% <->
% composition(A,converse(composition(B,composition(C,composition(V_3,V_4)))))
% Current number of equations to process: 374
% Current number of ordered equations: 1
% Current number of rules: 570
% New rule produced :
% [586]
% composition(composition(composition(A,composition(B,C)),converse(V_3)),
% converse(V_4)) <->
% composition(A,composition(B,composition(C,converse(composition(V_4,V_3)))))
% Current number of equations to process: 374
% Current number of ordered equations: 0
% Current number of rules: 571
% New rule produced :
% [587]
% composition(composition(A,composition(B,converse(composition(C,V_3)))),V_4)
% <->
% composition(A,composition(composition(B,converse(V_3)),composition(converse(C),V_4)))
% Current number of equations to process: 372
% Current number of ordered equations: 3
% Current number of rules: 572
% New rule produced :
% [588]
% composition(A,composition(composition(B,converse(V_3)),composition(converse(C),V_4)))
% <->
% composition(composition(A,composition(B,converse(composition(C,V_3)))),V_4)
% Current number of equations to process: 372
% Current number of ordered equations: 2
% Current number of rules: 573
% New rule produced :
% [589]
% composition(composition(A,composition(B,C)),converse(composition(V_4,V_3)))
% <->
% composition(composition(A,composition(B,composition(C,converse(V_3)))),
% converse(V_4))
% Current number of equations to process: 372
% Current number of ordered equations: 1
% Current number of rules: 574
% New rule produced :
% [590]
% composition(composition(A,composition(B,composition(C,converse(V_3)))),
% converse(V_4)) <->
% composition(composition(A,composition(B,C)),converse(composition(V_4,V_3)))
% Current number of equations to process: 372
% Current number of ordered equations: 0
% Current number of rules: 575
% New rule produced :
% [591]
% composition(A,composition(converse(C),composition(composition(converse(B),V_3),V_4)))
% <->
% composition(composition(A,composition(converse(composition(B,C)),V_3)),V_4)
% Current number of equations to process: 371
% Current number of ordered equations: 1
% Current number of rules: 576
% New rule produced :
% [592]
% composition(composition(A,composition(converse(composition(B,C)),V_3)),V_4)
% <->
% composition(A,composition(converse(C),composition(composition(converse(B),V_3),V_4)))
% Current number of equations to process: 371
% Current number of ordered equations: 0
% Current number of rules: 577
% New rule produced :
% [593]
% composition(composition(A,composition(converse(B),composition(converse(C),V_3))),V_4)
% <->
% composition(A,composition(converse(composition(C,B)),composition(V_3,V_4)))
% Current number of equations to process: 368
% Current number of ordered equations: 5
% Current number of rules: 578
% New rule produced :
% [594]
% composition(A,composition(converse(composition(C,B)),composition(V_3,V_4)))
% <->
% composition(composition(A,composition(converse(B),composition(converse(C),V_3))),V_4)
% Current number of equations to process: 368
% Current number of ordered equations: 4
% Current number of rules: 579
% New rule produced :
% [595]
% composition(converse(V_3),composition(converse(composition(A,composition(B,C))),V_4))
% <->
% composition(converse(composition(A,composition(B,composition(C,V_3)))),V_4)
% Current number of equations to process: 368
% Current number of ordered equations: 3
% Current number of rules: 580
% New rule produced :
% [596]
% composition(composition(converse(A),composition(converse(B),composition(C,V_3))),V_4)
% <->
% composition(converse(composition(B,A)),composition(C,composition(V_3,V_4)))
% Current number of equations to process: 368
% Current number of ordered equations: 2
% Current number of rules: 581
% New rule produced :
% [597]
% composition(converse(composition(B,A)),composition(C,composition(V_3,V_4)))
% <->
% composition(composition(converse(A),composition(converse(B),composition(C,V_3))),V_4)
% Current number of equations to process: 368
% Current number of ordered equations: 1
% Current number of rules: 582
% New rule produced :
% [598]
% composition(converse(composition(A,composition(B,composition(C,V_3)))),V_4)
% <->
% composition(converse(V_3),composition(converse(composition(A,composition(B,C))),V_4))
% Current number of equations to process: 368
% Current number of ordered equations: 0
% Current number of rules: 583
% New rule produced :
% [599]
% composition(A,composition(B,composition(C,composition(composition(V_3,V_4),V_5))))
% <->
% composition(composition(composition(A,composition(B,C)),V_3),composition(V_4,V_5))
% Current number of equations to process: 365
% Current number of ordered equations: 5
% Current number of rules: 584
% New rule produced :
% [600]
% composition(A,composition(B,composition(composition(composition(C,V_3),V_4),V_5)))
% <->
% composition(composition(A,composition(composition(B,C),composition(V_3,V_4))),V_5)
% Current number of equations to process: 365
% Current number of ordered equations: 4
% Current number of rules: 585
% New rule produced :
% [601]
% composition(A,composition(composition(B,composition(C,composition(V_3,V_4))),V_5))
% <->
% composition(composition(A,composition(B,composition(C,V_3))),composition(V_4,V_5))
% Current number of equations to process: 365
% Current number of ordered equations: 3
% Current number of rules: 586
% New rule produced :
% [602]
% composition(composition(composition(A,composition(B,C)),V_3),composition(V_4,V_5))
% <->
% composition(A,composition(B,composition(C,composition(composition(V_3,V_4),V_5))))
% Current number of equations to process: 365
% Current number of ordered equations: 2
% Current number of rules: 587
% New rule produced :
% [603]
% composition(composition(A,composition(B,composition(C,V_3))),composition(V_4,V_5))
% <->
% composition(A,composition(composition(B,composition(C,composition(V_3,V_4))),V_5))
% Current number of equations to process: 365
% Current number of ordered equations: 1
% Current number of rules: 588
% New rule produced :
% [604]
% composition(composition(A,composition(composition(B,C),composition(V_3,V_4))),V_5)
% <->
% composition(A,composition(B,composition(composition(composition(C,V_3),V_4),V_5)))
% Current number of equations to process: 365
% Current number of ordered equations: 0
% Current number of rules: 589
% New rule produced :
% [605]
% composition(A,composition(composition(B,C),composition(composition(V_3,V_4),V_5)))
% <->
% composition(composition(A,composition(B,composition(composition(C,V_3),V_4))),V_5)
% Current number of equations to process: 362
% Current number of ordered equations: 5
% Current number of rules: 590
% New rule produced :
% [606]
% composition(A,composition(composition(B,composition(C,composition(V_3,V_4))),V_5))
% <->
% composition(composition(A,B),composition(C,composition(V_3,composition(V_4,V_5))))
% Current number of equations to process: 362
% Current number of ordered equations: 4
% Current number of rules: 591
% New rule produced :
% [607]
% composition(composition(A,composition(B,C)),composition(composition(V_3,V_4),V_5))
% <->
% composition(composition(A,composition(B,composition(C,V_3))),composition(V_4,V_5))
% Current number of equations to process: 362
% Current number of ordered equations: 3
% Current number of rules: 592
% New rule produced :
% [608]
% composition(composition(A,B),composition(C,composition(V_3,composition(V_4,V_5))))
% <->
% composition(A,composition(composition(B,composition(C,composition(V_3,V_4))),V_5))
% Current number of equations to process: 362
% Current number of ordered equations: 2
% Current number of rules: 593
% New rule produced :
% [609]
% composition(composition(A,composition(B,composition(C,V_3))),composition(V_4,V_5))
% <->
% composition(composition(A,composition(B,C)),composition(composition(V_3,V_4),V_5))
% Current number of equations to process: 362
% Current number of ordered equations: 1
% Current number of rules: 594
% New rule produced :
% [610]
% composition(composition(A,composition(B,composition(composition(C,V_3),V_4))),V_5)
% <->
% composition(A,composition(composition(B,C),composition(composition(V_3,V_4),V_5)))
% Current number of equations to process: 362
% Current number of ordered equations: 0
% Current number of rules: 595
% New rule produced :
% [611]
% composition(A,composition(B,composition(C,composition(composition(V_3,V_4),V_5))))
% <->
% composition(composition(composition(composition(A,composition(B,C)),V_3),V_4),V_5)
% Current number of equations to process: 359
% Current number of ordered equations: 5
% Current number of rules: 596
% New rule produced :
% [612]
% composition(A,composition(B,composition(composition(composition(C,V_3),V_4),V_5)))
% <->
% composition(composition(A,composition(composition(composition(B,C),V_3),V_4)),V_5)
% Current number of equations to process: 359
% Current number of ordered equations: 4
% Current number of rules: 597
% New rule produced :
% [613]
% composition(A,composition(composition(B,composition(C,composition(V_3,V_4))),V_5))
% <->
% composition(composition(composition(A,composition(B,composition(C,V_3))),V_4),V_5)
% Current number of equations to process: 359
% Current number of ordered equations: 3
% Current number of rules: 598
% New rule produced :
% [614]
% composition(composition(A,composition(composition(composition(B,C),V_3),V_4)),V_5)
% <->
% composition(A,composition(B,composition(composition(composition(C,V_3),V_4),V_5)))
% Current number of equations to process: 359
% Current number of ordered equations: 2
% Current number of rules: 599
% New rule produced :
% [615]
% composition(composition(composition(composition(A,composition(B,C)),V_3),V_4),V_5)
% <->
% composition(A,composition(B,composition(C,composition(composition(V_3,V_4),V_5))))
% Current number of equations to process: 359
% Current number of ordered equations: 1
% Current number of rules: 600
% New rule produced :
% [616]
% composition(composition(composition(A,composition(B,composition(C,V_3))),V_4),V_5)
% <->
% composition(A,composition(composition(B,composition(C,composition(V_3,V_4))),V_5))
% Current number of equations to process: 359
% Current number of ordered equations: 0
% Current number of rules: 601
% New rule produced :
% [617]
% composition(A,composition(B,composition(composition(C,composition(V_3,V_4)),V_5)))
% <->
% composition(composition(A,composition(composition(B,composition(C,V_3)),V_4)),V_5)
% Current number of equations to process: 355
% Current number of ordered equations: 7
% Current number of rules: 602
% New rule produced :
% [618]
% composition(A,composition(B,composition(C,composition(V_3,composition(V_4,V_5)))))
% <->
% composition(composition(composition(A,composition(B,C)),composition(V_3,V_4)),V_5)
% Current number of equations to process: 355
% Current number of ordered equations: 6
% Current number of rules: 603
% New rule produced :
% [619]
% composition(A,composition(B,composition(C,composition(V_3,composition(V_4,V_5)))))
% <->
% composition(composition(A,composition(composition(B,composition(C,V_3)),V_4)),V_5)
% Current number of equations to process: 355
% Current number of ordered equations: 5
% Current number of rules: 604
% New rule produced :
% [620]
% composition(A,composition(B,composition(C,composition(V_3,composition(V_4,V_5)))))
% <->
% composition(composition(A,composition(B,composition(C,composition(V_3,V_4)))),V_5)
% Current number of equations to process: 355
% Current number of ordered equations: 4
% Current number of rules: 605
% New rule produced :
% [621]
% composition(composition(composition(A,composition(B,C)),composition(V_3,V_4)),V_5)
% <->
% composition(A,composition(B,composition(C,composition(V_3,composition(V_4,V_5)))))
% Current number of equations to process: 355
% Current number of ordered equations: 3
% Current number of rules: 606
% New rule produced :
% [622]
% composition(composition(A,composition(composition(B,composition(C,V_3)),V_4)),V_5)
% <->
% composition(A,composition(B,composition(composition(C,composition(V_3,V_4)),V_5)))
% Current number of equations to process: 355
% Current number of ordered equations: 2
% Current number of rules: 607
% New rule produced :
% [623]
% composition(composition(A,composition(composition(B,composition(C,V_3)),V_4)),V_5)
% <->
% composition(A,composition(B,composition(C,composition(V_3,composition(V_4,V_5)))))
% Current number of equations to process: 355
% Current number of ordered equations: 1
% Current number of rules: 608
% New rule produced :
% [624]
% composition(composition(A,composition(B,composition(C,composition(V_3,V_4)))),V_5)
% <->
% composition(A,composition(B,composition(C,composition(V_3,composition(V_4,V_5)))))
% Current number of equations to process: 355
% Current number of ordered equations: 0
% Current number of rules: 609
% New rule produced :
% [625]
% composition(A,composition(B,composition(composition(C,composition(V_3,V_4)),V_5)))
% <->
% composition(composition(A,composition(composition(composition(B,C),V_3),V_4)),V_5)
% Current number of equations to process: 351
% Current number of ordered equations: 7
% Current number of rules: 610
% New rule produced :
% [626]
% composition(A,composition(B,composition(C,composition(V_3,composition(V_4,V_5)))))
% <->
% composition(composition(composition(A,B),composition(C,composition(V_3,V_4))),V_5)
% Current number of equations to process: 351
% Current number of ordered equations: 6
% Current number of rules: 611
% New rule produced :
% [627]
% composition(A,composition(B,composition(C,composition(V_3,composition(V_4,V_5)))))
% <->
% composition(composition(composition(composition(A,composition(B,C)),V_3),V_4),V_5)
% Current number of equations to process: 351
% Current number of ordered equations: 5
% Current number of rules: 612
% New rule produced :
% [628]
% composition(A,composition(B,composition(C,composition(V_3,composition(V_4,V_5)))))
% <->
% composition(composition(composition(A,composition(B,composition(C,V_3))),V_4),V_5)
% Current number of equations to process: 351
% Current number of ordered equations: 4
% Current number of rules: 613
% New rule produced :
% [629]
% composition(composition(A,composition(composition(composition(B,C),V_3),V_4)),V_5)
% <->
% composition(A,composition(B,composition(composition(C,composition(V_3,V_4)),V_5)))
% Current number of equations to process: 351
% Current number of ordered equations: 3
% Current number of rules: 614
% New rule produced :
% [630]
% composition(composition(composition(A,B),composition(C,composition(V_3,V_4))),V_5)
% <->
% composition(A,composition(B,composition(C,composition(V_3,composition(V_4,V_5)))))
% Current number of equations to process: 351
% Current number of ordered equations: 2
% Current number of rules: 615
% New rule produced :
% [631]
% composition(composition(composition(composition(A,composition(B,C)),V_3),V_4),V_5)
% <->
% composition(A,composition(B,composition(C,composition(V_3,composition(V_4,V_5)))))
% Current number of equations to process: 351
% Current number of ordered equations: 1
% Current number of rules: 616
% New rule produced :
% [632]
% composition(composition(composition(A,composition(B,composition(C,V_3))),V_4),V_5)
% <->
% composition(A,composition(B,composition(C,composition(V_3,composition(V_4,V_5)))))
% Current number of equations to process: 351
% Current number of ordered equations: 0
% Current number of rules: 617
% New rule produced :
% [633]
% composition(A,composition(composition(B,composition(C,V_3)),composition(V_4,V_5)))
% <->
% composition(composition(A,composition(B,composition(C,composition(V_3,V_4)))),V_5)
% Current number of equations to process: 349
% Current number of ordered equations: 3
% Current number of rules: 618
% New rule produced :
% [634]
% composition(composition(A,composition(B,C)),composition(V_3,composition(V_4,V_5)))
% <->
% composition(composition(A,composition(B,composition(C,composition(V_3,V_4)))),V_5)
% Current number of equations to process: 349
% Current number of ordered equations: 2
% Current number of rules: 619
% New rule produced :
% [635]
% composition(composition(A,composition(B,composition(C,composition(V_3,V_4)))),V_5)
% <->
% composition(A,composition(composition(B,composition(C,V_3)),composition(V_4,V_5)))
% Current number of equations to process: 349
% Current number of ordered equations: 1
% Current number of rules: 620
% New rule produced :
% [636]
% composition(composition(A,composition(B,composition(C,composition(V_3,V_4)))),V_5)
% <->
% composition(composition(A,composition(B,C)),composition(V_3,composition(V_4,V_5)))
% Current number of equations to process: 349
% Current number of ordered equations: 0
% Current number of rules: 621
% New rule produced :
% [637]
% composition(complement(composition(A,composition(B,C))),V_3) join composition(A,
% composition(B,
% composition(C,V_3)))
% -> composition(top,V_3)
% Current number of equations to process: 348
% Current number of ordered equations: 0
% Current number of rules: 622
% New rule produced :
% [638]
% composition(A,composition(composition(composition(one,B),C),V_3)) <->
% composition(composition(composition(A,B),C),V_3)
% Current number of equations to process: 398
% Current number of ordered equations: 1
% Current number of rules: 623
% New rule produced :
% [639]
% composition(composition(composition(A,B),C),V_3) <->
% composition(A,composition(composition(composition(one,B),C),V_3))
% Current number of equations to process: 398
% Current number of ordered equations: 0
% Current number of rules: 624
% New rule produced :
% [640]
% converse(composition(A,composition(composition(B,C),converse(V_3)))) <->
% composition(V_3,converse(composition(composition(A,B),C)))
% Current number of equations to process: 397
% Current number of ordered equations: 1
% Current number of rules: 625
% New rule produced :
% [641]
% composition(V_3,converse(composition(composition(A,B),C))) <->
% converse(composition(A,composition(composition(B,C),converse(V_3))))
% Current number of equations to process: 397
% Current number of ordered equations: 0
% Current number of rules: 626
% New rule produced :
% [642]
% converse(composition(A,converse(composition(composition(B,C),V_3)))) <->
% composition(B,composition(composition(C,V_3),converse(A)))
% Current number of equations to process: 394
% Current number of ordered equations: 5
% Current number of rules: 627
% New rule produced :
% [643]
% composition(B,composition(composition(converse(A),C),V_3)) <->
% composition(composition(converse(composition(A,converse(B))),C),V_3)
% Current number of equations to process: 394
% Current number of ordered equations: 4
% Current number of rules: 628
% New rule produced :
% [644]
% composition(B,composition(composition(C,V_3),converse(A))) <->
% converse(composition(A,converse(composition(composition(B,C),V_3))))
% Current number of equations to process: 394
% Current number of ordered equations: 3
% Current number of rules: 629
% New rule produced :
% [645]
% composition(B,composition(composition(C,converse(A)),V_3)) <->
% composition(converse(composition(A,converse(composition(B,C)))),V_3)
% Current number of equations to process: 394
% Current number of ordered equations: 2
% Current number of rules: 630
% New rule produced :
% [646]
% composition(converse(composition(A,converse(composition(B,C)))),V_3) <->
% composition(B,composition(composition(C,converse(A)),V_3))
% Current number of equations to process: 394
% Current number of ordered equations: 1
% Current number of rules: 631
% New rule produced :
% [647]
% composition(composition(converse(composition(A,converse(B))),C),V_3) <->
% composition(B,composition(composition(converse(A),C),V_3))
% Current number of equations to process: 394
% Current number of ordered equations: 0
% Current number of rules: 632
% New rule produced :
% [648]
% composition(composition(converse(composition(converse(A),B)),C),V_3) <->
% composition(converse(B),composition(composition(A,C),V_3))
% Current number of equations to process: 393
% Current number of ordered equations: 1
% Current number of rules: 633
% New rule produced :
% [649]
% composition(converse(B),composition(composition(A,C),V_3)) <->
% composition(composition(converse(composition(converse(A),B)),C),V_3)
% Current number of equations to process: 393
% Current number of ordered equations: 0
% Current number of rules: 634
% New rule produced :
% [650]
% composition(A,composition(composition(B,composition(C,V_3)),V_4)) <->
% composition(composition(A,composition(composition(B,C),V_3)),V_4)
% Current number of equations to process: 392
% Current number of ordered equations: 1
% Current number of rules: 635
% New rule produced :
% [651]
% composition(composition(A,composition(composition(B,C),V_3)),V_4) <->
% composition(A,composition(composition(B,composition(C,V_3)),V_4))
% Current number of equations to process: 392
% Current number of ordered equations: 0
% Current number of rules: 636
% New rule produced :
% [652]
% composition(composition(composition(A,B),C),composition(V_3,V_4)) <->
% composition(composition(A,composition(B,composition(C,V_3))),V_4)
% Current number of equations to process: 391
% Current number of ordered equations: 1
% Current number of rules: 637
% New rule produced :
% [653]
% composition(composition(A,composition(B,composition(C,V_3))),V_4) <->
% composition(composition(composition(A,B),C),composition(V_3,V_4))
% Current number of equations to process: 391
% Current number of ordered equations: 0
% Current number of rules: 638
% New rule produced :
% [654]
% composition(composition(composition(composition(A,B),converse(C)),converse(V_3)),V_4)
% <->
% composition(A,composition(composition(B,converse(composition(V_3,C))),V_4))
% Current number of equations to process: 395
% Current number of ordered equations: 7
% Current number of rules: 639
% New rule produced :
% [655]
% composition(composition(composition(composition(A,converse(B)),converse(C)),V_3),V_4)
% <->
% composition(A,composition(composition(converse(composition(C,B)),V_3),V_4))
% Current number of equations to process: 395
% Current number of ordered equations: 6
% Current number of rules: 640
% New rule produced :
% [656]
% composition(A,composition(composition(B,converse(composition(V_3,C))),V_4))
% <->
% composition(composition(composition(composition(A,B),converse(C)),converse(V_3)),V_4)
% Current number of equations to process: 395
% Current number of ordered equations: 5
% Current number of rules: 641
% New rule produced :
% [657]
% composition(A,composition(composition(B,C),converse(composition(V_4,V_3))))
% <->
% composition(composition(composition(composition(A,B),C),converse(V_3)),
% converse(V_4))
% Current number of equations to process: 395
% Current number of ordered equations: 4
% Current number of rules: 642
% New rule produced :
% [658]
% composition(A,converse(composition(B,composition(composition(C,V_3),V_4))))
% <->
% composition(composition(A,converse(V_4)),converse(composition(composition(B,C),V_3)))
% Current number of equations to process: 395
% Current number of ordered equations: 3
% Current number of rules: 643
% New rule produced :
% [659]
% composition(A,composition(composition(converse(composition(C,B)),V_3),V_4))
% <->
% composition(composition(composition(composition(A,converse(B)),converse(C)),V_3),V_4)
% Current number of equations to process: 395
% Current number of ordered equations: 2
% Current number of rules: 644
% New rule produced :
% [660]
% composition(composition(A,converse(V_4)),converse(composition(composition(B,C),V_3)))
% <->
% composition(A,converse(composition(B,composition(composition(C,V_3),V_4))))
% Current number of equations to process: 395
% Current number of ordered equations: 1
% Current number of rules: 645
% New rule produced :
% [661]
% composition(composition(composition(composition(A,B),C),converse(V_3)),
% converse(V_4)) <->
% composition(A,composition(composition(B,C),converse(composition(V_4,V_3))))
% Current number of equations to process: 395
% Current number of ordered equations: 0
% Current number of rules: 646
% New rule produced :
% [662]
% composition(composition(composition(A,B),C),converse(composition(V_4,V_3)))
% <->
% composition(composition(A,composition(composition(B,C),converse(V_3))),
% converse(V_4))
% Current number of equations to process: 393
% Current number of ordered equations: 3
% Current number of rules: 647
% New rule produced :
% [663]
% composition(composition(composition(A,converse(composition(B,C))),V_3),V_4)
% <->
% composition(composition(A,converse(C)),composition(composition(converse(B),V_3),V_4))
% Current number of equations to process: 393
% Current number of ordered equations: 2
% Current number of rules: 648
% New rule produced :
% [664]
% composition(composition(A,converse(C)),composition(composition(converse(B),V_3),V_4))
% <->
% composition(composition(composition(A,converse(composition(B,C))),V_3),V_4)
% Current number of equations to process: 393
% Current number of ordered equations: 1
% Current number of rules: 649
% New rule produced :
% [665]
% composition(composition(A,composition(composition(B,C),converse(V_3))),
% converse(V_4)) <->
% composition(composition(composition(A,B),C),converse(composition(V_4,V_3)))
% Current number of equations to process: 393
% Current number of ordered equations: 0
% Current number of rules: 650
% New rule produced :
% [666]
% composition(converse(B),composition(composition(composition(converse(A),C),V_3),V_4))
% <->
% composition(composition(composition(converse(composition(A,B)),C),V_3),V_4)
% Current number of equations to process: 392
% Current number of ordered equations: 1
% Current number of rules: 651
% New rule produced :
% [667]
% composition(composition(composition(converse(composition(A,B)),C),V_3),V_4)
% <->
% composition(converse(B),composition(composition(composition(converse(A),C),V_3),V_4))
% Current number of equations to process: 392
% Current number of ordered equations: 0
% Current number of rules: 652
% New rule produced :
% [668]
% composition(converse(V_3),composition(converse(composition(composition(A,B),C)),V_4))
% <->
% composition(converse(composition(A,composition(composition(B,C),V_3))),V_4)
% Current number of equations to process: 390
% Current number of ordered equations: 3
% Current number of rules: 653
% New rule produced :
% [669]
% composition(composition(composition(converse(A),composition(converse(B),C)),V_3),V_4)
% <->
% composition(converse(composition(B,A)),composition(composition(C,V_3),V_4))
% Current number of equations to process: 390
% Current number of ordered equations: 2
% Current number of rules: 654
% New rule produced :
% [670]
% composition(converse(composition(B,A)),composition(composition(C,V_3),V_4))
% <->
% composition(composition(composition(converse(A),composition(converse(B),C)),V_3),V_4)
% Current number of equations to process: 390
% Current number of ordered equations: 1
% Current number of rules: 655
% New rule produced :
% [671]
% composition(converse(composition(A,composition(composition(B,C),V_3))),V_4)
% <->
% composition(converse(V_3),composition(converse(composition(composition(A,B),C)),V_4))
% Current number of equations to process: 390
% Current number of ordered equations: 0
% Current number of rules: 656
% New rule produced :
% [672]
% composition(A,composition(composition(B,C),composition(composition(V_3,V_4),V_5)))
% <->
% composition(composition(composition(composition(A,B),C),V_3),composition(V_4,V_5))
% Current number of equations to process: 386
% Current number of ordered equations: 7
% Current number of rules: 657
% New rule produced :
% [673]
% composition(A,composition(composition(B,composition(composition(C,V_3),V_4)),V_5))
% <->
% composition(composition(A,composition(composition(B,C),V_3)),composition(V_4,V_5))
% Current number of equations to process: 386
% Current number of ordered equations: 6
% Current number of rules: 658
% New rule produced :
% [674]
% composition(A,composition(composition(B,composition(composition(C,V_3),V_4)),V_5))
% <->
% composition(composition(composition(composition(A,B),C),composition(V_3,V_4)),V_5)
% Current number of equations to process: 386
% Current number of ordered equations: 5
% Current number of rules: 659
% New rule produced :
% [675]
% composition(A,composition(composition(composition(composition(B,C),V_3),V_4),V_5))
% <->
% composition(composition(composition(composition(A,B),composition(C,V_3)),V_4),V_5)
% Current number of equations to process: 386
% Current number of ordered equations: 4
% Current number of rules: 660
% New rule produced :
% [676]
% composition(composition(A,composition(composition(B,C),V_3)),composition(V_4,V_5))
% <->
% composition(A,composition(composition(B,composition(composition(C,V_3),V_4)),V_5))
% Current number of equations to process: 386
% Current number of ordered equations: 3
% Current number of rules: 661
% New rule produced :
% [677]
% composition(composition(composition(composition(A,B),C),V_3),composition(V_4,V_5))
% <->
% composition(A,composition(composition(B,C),composition(composition(V_3,V_4),V_5)))
% Current number of equations to process: 386
% Current number of ordered equations: 2
% Current number of rules: 662
% New rule produced :
% [678]
% composition(composition(composition(composition(A,B),C),composition(V_3,V_4)),V_5)
% <->
% composition(A,composition(composition(B,composition(composition(C,V_3),V_4)),V_5))
% Current number of equations to process: 386
% Current number of ordered equations: 1
% Current number of rules: 663
% New rule produced :
% [679]
% composition(composition(composition(composition(A,B),composition(C,V_3)),V_4),V_5)
% <->
% composition(A,composition(composition(composition(composition(B,C),V_3),V_4),V_5))
% Current number of equations to process: 386
% Current number of ordered equations: 0
% Current number of rules: 664
% New rule produced :
% [680]
% composition(A,composition(composition(B,composition(composition(C,V_3),V_4)),V_5))
% <->
% composition(composition(A,B),composition(C,composition(composition(V_3,V_4),V_5)))
% Current number of equations to process: 383
% Current number of ordered equations: 5
% Current number of rules: 665
% New rule produced :
% [681]
% composition(composition(A,B),composition(composition(composition(C,V_3),V_4),V_5))
% <->
% composition(composition(composition(A,composition(composition(B,C),V_3)),V_4),V_5)
% Current number of equations to process: 383
% Current number of ordered equations: 4
% Current number of rules: 666
% New rule produced :
% [682]
% composition(composition(A,B),composition(C,composition(composition(V_3,V_4),V_5)))
% <->
% composition(A,composition(composition(B,composition(composition(C,V_3),V_4)),V_5))
% Current number of equations to process: 383
% Current number of ordered equations: 3
% Current number of rules: 667
% New rule produced :
% [683]
% composition(composition(composition(A,B),C),composition(composition(V_3,V_4),V_5))
% <->
% composition(composition(A,composition(composition(B,C),V_3)),composition(V_4,V_5))
% Current number of equations to process: 383
% Current number of ordered equations: 2
% Current number of rules: 668
% New rule produced :
% [684]
% composition(composition(A,composition(composition(B,C),V_3)),composition(V_4,V_5))
% <->
% composition(composition(composition(A,B),C),composition(composition(V_3,V_4),V_5))
% Current number of equations to process: 383
% Current number of ordered equations: 1
% Current number of rules: 669
% New rule produced :
% [685]
% composition(composition(composition(A,composition(composition(B,C),V_3)),V_4),V_5)
% <->
% composition(composition(A,B),composition(composition(composition(C,V_3),V_4),V_5))
% Current number of equations to process: 383
% Current number of ordered equations: 0
% Current number of rules: 670
% New rule produced :
% [686]
% composition(A,composition(composition(B,C),composition(composition(V_3,V_4),V_5)))
% <->
% composition(composition(composition(composition(composition(A,B),C),V_3),V_4),V_5)
% Current number of equations to process: 379
% Current number of ordered equations: 7
% Current number of rules: 671
% New rule produced :
% [687]
% composition(A,composition(composition(B,composition(composition(C,V_3),V_4)),V_5))
% <->
% composition(composition(composition(A,composition(composition(B,C),V_3)),V_4),V_5)
% Current number of equations to process: 379
% Current number of ordered equations: 6
% Current number of rules: 672
% New rule produced :
% [688]
% composition(A,composition(composition(B,composition(composition(C,V_3),V_4)),V_5))
% <->
% composition(composition(composition(composition(composition(A,B),C),V_3),V_4),V_5)
% Current number of equations to process: 379
% Current number of ordered equations: 5
% Current number of rules: 673
% New rule produced :
% [689]
% composition(A,composition(composition(composition(composition(B,C),V_3),V_4),V_5))
% <->
% composition(composition(composition(composition(composition(A,B),C),V_3),V_4),V_5)
% Current number of equations to process: 379
% Current number of ordered equations: 4
% Current number of rules: 674
% New rule produced :
% [690]
% composition(composition(composition(A,composition(composition(B,C),V_3)),V_4),V_5)
% <->
% composition(A,composition(composition(B,composition(composition(C,V_3),V_4)),V_5))
% Current number of equations to process: 379
% Current number of ordered equations: 3
% Current number of rules: 675
% New rule produced :
% [691]
% composition(composition(composition(composition(composition(A,B),C),V_3),V_4),V_5)
% <->
% composition(A,composition(composition(B,C),composition(composition(V_3,V_4),V_5)))
% Current number of equations to process: 379
% Current number of ordered equations: 2
% Current number of rules: 676
% New rule produced :
% [692]
% composition(composition(composition(composition(composition(A,B),C),V_3),V_4),V_5)
% <->
% composition(A,composition(composition(B,composition(composition(C,V_3),V_4)),V_5))
% Current number of equations to process: 379
% Current number of ordered equations: 1
% Current number of rules: 677
% New rule produced :
% [693]
% composition(composition(composition(composition(composition(A,B),C),V_3),V_4),V_5)
% <->
% composition(A,composition(composition(composition(composition(B,C),V_3),V_4),V_5))
% Current number of equations to process: 379
% Current number of ordered equations: 0
% Current number of rules: 678
% New rule produced :
% [694]
% composition(A,composition(B,composition(C,composition(composition(V_3,V_4),V_5))))
% <->
% composition(composition(A,composition(B,composition(composition(C,V_3),V_4))),V_5)
% Current number of equations to process: 374
% Current number of ordered equations: 9
% Current number of rules: 679
% New rule produced :
% [695]
% composition(A,composition(composition(B,C),composition(V_3,composition(V_4,V_5))))
% <->
% composition(composition(composition(composition(A,B),C),composition(V_3,V_4)),V_5)
% Current number of equations to process: 374
% Current number of ordered equations: 8
% Current number of rules: 680
% New rule produced :
% [696]
% composition(A,composition(composition(composition(B,composition(C,V_3)),V_4),V_5))
% <->
% composition(composition(composition(composition(A,composition(B,C)),V_3),V_4),V_5)
% Current number of equations to process: 374
% Current number of ordered equations: 7
% Current number of rules: 681
% New rule produced :
% [697]
% composition(A,composition(B,composition(composition(C,V_3),composition(V_4,V_5))))
% <->
% composition(composition(A,composition(composition(composition(B,C),V_3),V_4)),V_5)
% Current number of equations to process: 374
% Current number of ordered equations: 6
% Current number of rules: 682
% New rule produced :
% [698]
% composition(A,composition(composition(B,composition(C,composition(V_3,V_4))),V_5))
% <->
% composition(composition(composition(composition(A,B),composition(C,V_3)),V_4),V_5)
% Current number of equations to process: 374
% Current number of ordered equations: 5
% Current number of rules: 683
% New rule produced :
% [699]
% composition(composition(A,composition(composition(composition(B,C),V_3),V_4)),V_5)
% <->
% composition(A,composition(B,composition(composition(C,V_3),composition(V_4,V_5))))
% Current number of equations to process: 374
% Current number of ordered equations: 4
% Current number of rules: 684
% New rule produced :
% [700]
% composition(composition(composition(composition(A,composition(B,C)),V_3),V_4),V_5)
% <->
% composition(A,composition(composition(composition(B,composition(C,V_3)),V_4),V_5))
% Current number of equations to process: 374
% Current number of ordered equations: 3
% Current number of rules: 685
% New rule produced :
% [701]
% composition(composition(A,composition(B,composition(composition(C,V_3),V_4))),V_5)
% <->
% composition(A,composition(B,composition(C,composition(composition(V_3,V_4),V_5))))
% Current number of equations to process: 374
% Current number of ordered equations: 2
% Current number of rules: 686
% New rule produced :
% [702]
% composition(composition(composition(composition(A,B),C),composition(V_3,V_4)),V_5)
% <->
% composition(A,composition(composition(B,C),composition(V_3,composition(V_4,V_5))))
% Current number of equations to process: 374
% Current number of ordered equations: 1
% Current number of rules: 687
% New rule produced :
% [703]
% composition(composition(composition(composition(A,B),composition(C,V_3)),V_4),V_5)
% <->
% composition(A,composition(composition(B,composition(C,composition(V_3,V_4))),V_5))
% Current number of equations to process: 374
% Current number of ordered equations: 0
% Current number of rules: 688
% New rule produced :
% [704]
% composition(A,composition(B,composition(C,composition(composition(V_3,V_4),V_5))))
% <->
% composition(composition(composition(A,B),composition(composition(C,V_3),V_4)),V_5)
% Current number of equations to process: 369
% Current number of ordered equations: 9
% Current number of rules: 689
% New rule produced :
% [705]
% composition(A,composition(composition(B,C),composition(V_3,composition(V_4,V_5))))
% <->
% composition(composition(composition(composition(composition(A,B),C),V_3),V_4),V_5)
% Current number of equations to process: 369
% Current number of ordered equations: 8
% Current number of rules: 690
% New rule produced :
% [706]
% composition(A,composition(composition(composition(B,composition(C,V_3)),V_4),V_5))
% <->
% composition(composition(composition(composition(composition(A,B),C),V_3),V_4),V_5)
% Current number of equations to process: 369
% Current number of ordered equations: 7
% Current number of rules: 691
% New rule produced :
% [707]
% composition(A,composition(B,composition(composition(C,V_3),composition(V_4,V_5))))
% <->
% composition(composition(composition(A,composition(composition(B,C),V_3)),V_4),V_5)
% Current number of equations to process: 369
% Current number of ordered equations: 6
% Current number of rules: 692
% New rule produced :
% [708]
% composition(A,composition(composition(B,composition(C,composition(V_3,V_4))),V_5))
% <->
% composition(composition(composition(composition(composition(A,B),C),V_3),V_4),V_5)
% Current number of equations to process: 369
% Current number of ordered equations: 5
% Current number of rules: 693
% New rule produced :
% [709]
% composition(composition(composition(A,B),composition(composition(C,V_3),V_4)),V_5)
% <->
% composition(A,composition(B,composition(C,composition(composition(V_3,V_4),V_5))))
% Current number of equations to process: 369
% Current number of ordered equations: 4
% Current number of rules: 694
% New rule produced :
% [710]
% composition(composition(composition(A,composition(composition(B,C),V_3)),V_4),V_5)
% <->
% composition(A,composition(B,composition(composition(C,V_3),composition(V_4,V_5))))
% Current number of equations to process: 369
% Current number of ordered equations: 3
% Current number of rules: 695
% New rule produced :
% [711]
% composition(composition(composition(composition(composition(A,B),C),V_3),V_4),V_5)
% <->
% composition(A,composition(composition(B,C),composition(V_3,composition(V_4,V_5))))
% Current number of equations to process: 369
% Current number of ordered equations: 2
% Current number of rules: 696
% New rule produced :
% [712]
% composition(composition(composition(composition(composition(A,B),C),V_3),V_4),V_5)
% <->
% composition(A,composition(composition(composition(B,composition(C,V_3)),V_4),V_5))
% Current number of equations to process: 369
% Current number of ordered equations: 1
% Current number of rules: 697
% New rule produced :
% [713]
% composition(composition(composition(composition(composition(A,B),C),V_3),V_4),V_5)
% <->
% composition(A,composition(composition(B,composition(C,composition(V_3,V_4))),V_5))
% Current number of equations to process: 369
% Current number of ordered equations: 0
% Current number of rules: 698
% New rule produced :
% [714]
% composition(A,composition(composition(composition(B,C),V_3),composition(V_4,V_5)))
% <->
% composition(composition(A,composition(B,composition(composition(C,V_3),V_4))),V_5)
% Current number of equations to process: 366
% Current number of ordered equations: 5
% Current number of rules: 699
% New rule produced :
% [715]
% composition(composition(A,composition(B,C)),composition(composition(V_3,V_4),V_5))
% <->
% composition(composition(composition(A,composition(B,composition(C,V_3))),V_4),V_5)
% Current number of equations to process: 366
% Current number of ordered equations: 4
% Current number of rules: 700
% New rule produced :
% [716]
% composition(composition(composition(A,B),C),composition(V_3,composition(V_4,V_5)))
% <->
% composition(composition(A,composition(composition(B,C),composition(V_3,V_4))),V_5)
% Current number of equations to process: 366
% Current number of ordered equations: 3
% Current number of rules: 701
% New rule produced :
% [717]
% composition(composition(A,composition(composition(B,C),composition(V_3,V_4))),V_5)
% <->
% composition(composition(composition(A,B),C),composition(V_3,composition(V_4,V_5)))
% Current number of equations to process: 366
% Current number of ordered equations: 2
% Current number of rules: 702
% New rule produced :
% [718]
% composition(composition(A,composition(B,composition(composition(C,V_3),V_4))),V_5)
% <->
% composition(A,composition(composition(composition(B,C),V_3),composition(V_4,V_5)))
% Current number of equations to process: 366
% Current number of ordered equations: 1
% Current number of rules: 703
% New rule produced :
% [719]
% composition(composition(composition(A,composition(B,composition(C,V_3))),V_4),V_5)
% <->
% composition(composition(A,composition(B,C)),composition(composition(V_3,V_4),V_5))
% Current number of equations to process: 366
% Current number of ordered equations: 0
% Current number of rules: 704
% New rule produced :
% [720]
% composition(composition(composition(A,B),C),composition(composition(V_3,V_4),V_5))
% <->
% composition(composition(composition(A,composition(composition(B,C),V_3)),V_4),V_5)
% Current number of equations to process: 365
% Current number of ordered equations: 1
% Current number of rules: 705
% New rule produced :
% [721]
% composition(composition(composition(A,composition(composition(B,C),V_3)),V_4),V_5)
% <->
% composition(composition(composition(A,B),C),composition(composition(V_3,V_4),V_5))
% Current number of equations to process: 365
% Current number of ordered equations: 0
% Current number of rules: 706
% New rule produced :
% [722]
% composition(complement(composition(composition(A,B),C)),V_3) join composition(A,
% composition(
% composition(B,C),V_3))
% -> composition(top,V_3)
% Current number of equations to process: 364
% Current number of ordered equations: 0
% Current number of rules: 707
% New rule produced :
% [723]
% converse(composition(A,composition(B,composition(C,converse(V_3))))) <->
% composition(V_3,converse(composition(composition(A,B),C)))
% Current number of equations to process: 415
% Current number of ordered equations: 1
% Current number of rules: 708
% New rule produced :
% [724]
% composition(V_3,converse(composition(composition(A,B),C))) <->
% converse(composition(A,composition(B,composition(C,converse(V_3)))))
% Current number of equations to process: 415
% Current number of ordered equations: 0
% Current number of rules: 709
% New rule produced :
% [725]
% converse(composition(A,converse(composition(composition(B,C),V_3)))) <->
% composition(B,composition(C,composition(V_3,converse(A))))
% Current number of equations to process: 412
% Current number of ordered equations: 5
% Current number of rules: 710
% New rule produced :
% [726]
% composition(B,composition(C,composition(V_3,converse(A)))) <->
% converse(composition(A,converse(composition(composition(B,C),V_3))))
% Current number of equations to process: 412
% Current number of ordered equations: 4
% Current number of rules: 711
% New rule produced :
% [727]
% composition(B,composition(converse(A),composition(C,V_3))) <->
% composition(composition(converse(composition(A,converse(B))),C),V_3)
% Current number of equations to process: 412
% Current number of ordered equations: 3
% Current number of rules: 712
% New rule produced :
% [728]
% composition(B,composition(C,composition(converse(A),V_3))) <->
% composition(converse(composition(A,converse(composition(B,C)))),V_3)
% Current number of equations to process: 412
% Current number of ordered equations: 2
% Current number of rules: 713
% New rule produced :
% [729]
% composition(converse(composition(A,converse(composition(B,C)))),V_3) <->
% composition(B,composition(C,composition(converse(A),V_3)))
% Current number of equations to process: 412
% Current number of ordered equations: 1
% Current number of rules: 714
% New rule produced :
% [730]
% composition(composition(converse(composition(A,converse(B))),C),V_3) <->
% composition(B,composition(converse(A),composition(C,V_3)))
% Current number of equations to process: 412
% Current number of ordered equations: 0
% Current number of rules: 715
% New rule produced :
% [731]
% composition(composition(converse(composition(converse(A),B)),C),V_3) <->
% composition(converse(B),composition(A,composition(C,V_3)))
% Current number of equations to process: 411
% Current number of ordered equations: 1
% Current number of rules: 716
% New rule produced :
% [732]
% composition(converse(B),composition(A,composition(C,V_3))) <->
% composition(composition(converse(composition(converse(A),B)),C),V_3)
% Current number of equations to process: 411
% Current number of ordered equations: 0
% Current number of rules: 717
% New rule produced :
% [733]
% composition(composition(A,composition(B,C)),composition(V_3,V_4)) <->
% composition(composition(composition(A,B),composition(C,V_3)),V_4)
% Current number of equations to process: 410
% Current number of ordered equations: 1
% Current number of rules: 718
% New rule produced :
% [734]
% composition(composition(composition(A,B),composition(C,V_3)),V_4) <->
% composition(composition(A,composition(B,C)),composition(V_3,V_4))
% Current number of equations to process: 410
% Current number of ordered equations: 0
% Current number of rules: 719
% New rule produced :
% [735]
% composition(composition(A,B join V_3),composition(C,V_4)) <->
% composition(composition(A,composition(B,C) join composition(V_3,C)),V_4)
% Current number of equations to process: 409
% Current number of ordered equations: 1
% Current number of rules: 720
% New rule produced :
% [736]
% composition(composition(A,composition(B,C) join composition(V_3,C)),V_4) <->
% composition(composition(A,B join V_3),composition(C,V_4))
% Current number of equations to process: 409
% Current number of ordered equations: 0
% Current number of rules: 721
% New rule produced :
% [737]
% composition(composition(composition(composition(A,B),converse(C)),converse(V_3)),V_4)
% <->
% composition(A,composition(B,composition(converse(composition(V_3,C)),V_4)))
% Current number of equations to process: 411
% Current number of ordered equations: 7
% Current number of rules: 722
% New rule produced :
% [738]
% composition(composition(composition(composition(A,converse(B)),converse(C)),V_3),V_4)
% <->
% composition(A,composition(converse(composition(C,B)),composition(V_3,V_4)))
% Current number of equations to process: 411
% Current number of ordered equations: 6
% Current number of rules: 723
% New rule produced :
% [739]
% composition(A,composition(B,composition(converse(composition(V_3,C)),V_4)))
% <->
% composition(composition(composition(composition(A,B),converse(C)),converse(V_3)),V_4)
% Current number of equations to process: 411
% Current number of ordered equations: 5
% Current number of rules: 724
% New rule produced :
% [740]
% composition(A,composition(B,composition(C,converse(composition(V_4,V_3)))))
% <->
% composition(composition(composition(composition(A,B),C),converse(V_3)),
% converse(V_4))
% Current number of equations to process: 411
% Current number of ordered equations: 4
% Current number of rules: 725
% New rule produced :
% [741]
% composition(A,composition(converse(composition(C,B)),composition(V_3,V_4)))
% <->
% composition(composition(composition(composition(A,converse(B)),converse(C)),V_3),V_4)
% Current number of equations to process: 411
% Current number of ordered equations: 3
% Current number of rules: 726
% New rule produced :
% [742]
% composition(A,converse(composition(B,composition(C,composition(V_3,V_4)))))
% <->
% composition(composition(A,converse(V_4)),converse(composition(composition(B,C),V_3)))
% Current number of equations to process: 411
% Current number of ordered equations: 2
% Current number of rules: 727
% New rule produced :
% [743]
% composition(composition(A,converse(V_4)),converse(composition(composition(B,C),V_3)))
% <->
% composition(A,converse(composition(B,composition(C,composition(V_3,V_4)))))
% Current number of equations to process: 411
% Current number of ordered equations: 1
% Current number of rules: 728
% New rule produced :
% [744]
% composition(composition(composition(composition(A,B),C),converse(V_3)),
% converse(V_4)) <->
% composition(A,composition(B,composition(C,converse(composition(V_4,V_3)))))
% Current number of equations to process: 411
% Current number of ordered equations: 0
% Current number of rules: 729
% New rule produced :
% [745]
% composition(composition(composition(A,B),C),converse(composition(V_4,V_3)))
% <->
% composition(composition(A,composition(B,composition(C,converse(V_3)))),
% converse(V_4))
% Current number of equations to process: 409
% Current number of ordered equations: 3
% Current number of rules: 730
% New rule produced :
% [746]
% composition(composition(composition(A,converse(composition(B,C))),V_3),V_4)
% <->
% composition(composition(A,converse(C)),composition(converse(B),composition(V_3,V_4)))
% Current number of equations to process: 409
% Current number of ordered equations: 2
% Current number of rules: 731
% New rule produced :
% [747]
% composition(composition(A,converse(C)),composition(converse(B),composition(V_3,V_4)))
% <->
% composition(composition(composition(A,converse(composition(B,C))),V_3),V_4)
% Current number of equations to process: 409
% Current number of ordered equations: 1
% Current number of rules: 732
% New rule produced :
% [748]
% composition(composition(A,composition(B,composition(C,converse(V_3)))),
% converse(V_4)) <->
% composition(composition(composition(A,B),C),converse(composition(V_4,V_3)))
% Current number of equations to process: 409
% Current number of ordered equations: 0
% Current number of rules: 733
% New rule produced :
% [749]
% composition(converse(B),composition(composition(converse(A),C),composition(V_3,V_4)))
% <->
% composition(composition(composition(converse(composition(A,B)),C),V_3),V_4)
% Current number of equations to process: 408
% Current number of ordered equations: 1
% Current number of rules: 734
% New rule produced :
% [750]
% composition(composition(composition(converse(composition(A,B)),C),V_3),V_4)
% <->
% composition(converse(B),composition(composition(converse(A),C),composition(V_3,V_4)))
% Current number of equations to process: 408
% Current number of ordered equations: 0
% Current number of rules: 735
% New rule produced :
% [751]
% composition(converse(V_3),composition(converse(composition(composition(A,B),C)),V_4))
% <->
% composition(converse(composition(A,composition(B,composition(C,V_3)))),V_4)
% Current number of equations to process: 406
% Current number of ordered equations: 3
% Current number of rules: 736
% New rule produced :
% [752]
% composition(composition(composition(converse(A),composition(converse(B),C)),V_3),V_4)
% <->
% composition(converse(composition(B,A)),composition(C,composition(V_3,V_4)))
% Current number of equations to process: 406
% Current number of ordered equations: 2
% Current number of rules: 737
% New rule produced :
% [753]
% composition(converse(composition(B,A)),composition(C,composition(V_3,V_4)))
% <->
% composition(composition(composition(converse(A),composition(converse(B),C)),V_3),V_4)
% Current number of equations to process: 406
% Current number of ordered equations: 1
% Current number of rules: 738
% New rule produced :
% [754]
% composition(converse(composition(A,composition(B,composition(C,V_3)))),V_4)
% <->
% composition(converse(V_3),composition(converse(composition(composition(A,B),C)),V_4))
% Current number of equations to process: 406
% Current number of ordered equations: 0
% Current number of rules: 739
% New rule produced :
% [755]
% composition(A,composition(composition(composition(B,C),V_3),composition(V_4,V_5)))
% <->
% composition(composition(composition(composition(A,B),composition(C,V_3)),V_4),V_5)
% Current number of equations to process: 402
% Current number of ordered equations: 7
% Current number of rules: 740
% New rule produced :
% [756]
% composition(A,composition(B,composition(C,composition(composition(V_3,V_4),V_5))))
% <->
% composition(composition(composition(composition(A,B),C),V_3),composition(V_4,V_5))
% Current number of equations to process: 402
% Current number of ordered equations: 6
% Current number of rules: 741
% New rule produced :
% [757]
% composition(A,composition(B,composition(composition(composition(C,V_3),V_4),V_5)))
% <->
% composition(composition(composition(composition(A,B),C),composition(V_3,V_4)),V_5)
% Current number of equations to process: 402
% Current number of ordered equations: 5
% Current number of rules: 742
% New rule produced :
% [758]
% composition(A,composition(composition(B,composition(C,composition(V_3,V_4))),V_5))
% <->
% composition(composition(A,composition(composition(B,C),V_3)),composition(V_4,V_5))
% Current number of equations to process: 402
% Current number of ordered equations: 4
% Current number of rules: 743
% New rule produced :
% [759]
% composition(composition(A,composition(composition(B,C),V_3)),composition(V_4,V_5))
% <->
% composition(A,composition(composition(B,composition(C,composition(V_3,V_4))),V_5))
% Current number of equations to process: 402
% Current number of ordered equations: 3
% Current number of rules: 744
% New rule produced :
% [760]
% composition(composition(composition(composition(A,B),C),V_3),composition(V_4,V_5))
% <->
% composition(A,composition(B,composition(C,composition(composition(V_3,V_4),V_5))))
% Current number of equations to process: 402
% Current number of ordered equations: 2
% Current number of rules: 745
% New rule produced :
% [761]
% composition(composition(composition(composition(A,B),C),composition(V_3,V_4)),V_5)
% <->
% composition(A,composition(B,composition(composition(composition(C,V_3),V_4),V_5)))
% Current number of equations to process: 402
% Current number of ordered equations: 1
% Current number of rules: 746
% New rule produced :
% [762]
% composition(composition(composition(composition(A,B),composition(C,V_3)),V_4),V_5)
% <->
% composition(A,composition(composition(composition(B,C),V_3),composition(V_4,V_5)))
% Current number of equations to process: 402
% Current number of ordered equations: 0
% Current number of rules: 747
% New rule produced :
% [763]
% composition(A,composition(composition(B,composition(composition(C,V_3),V_4)),V_5))
% <->
% composition(composition(A,B),composition(C,composition(V_3,composition(V_4,V_5))))
% Current number of equations to process: 399
% Current number of ordered equations: 5
% Current number of rules: 748
% New rule produced :
% [764]
% composition(composition(A,B),composition(composition(C,V_3),composition(V_4,V_5)))
% <->
% composition(composition(composition(A,composition(composition(B,C),V_3)),V_4),V_5)
% Current number of equations to process: 399
% Current number of ordered equations: 4
% Current number of rules: 749
% New rule produced :
% [765]
% composition(composition(A,B),composition(C,composition(V_3,composition(V_4,V_5))))
% <->
% composition(A,composition(composition(B,composition(composition(C,V_3),V_4)),V_5))
% Current number of equations to process: 399
% Current number of ordered equations: 3
% Current number of rules: 750
% New rule produced :
% [766]
% composition(composition(composition(A,B),C),composition(composition(V_3,V_4),V_5))
% <->
% composition(composition(A,composition(B,composition(C,V_3))),composition(V_4,V_5))
% Current number of equations to process: 399
% Current number of ordered equations: 2
% Current number of rules: 751
% New rule produced :
% [767]
% composition(composition(A,composition(B,composition(C,V_3))),composition(V_4,V_5))
% <->
% composition(composition(composition(A,B),C),composition(composition(V_3,V_4),V_5))
% Current number of equations to process: 399
% Current number of ordered equations: 1
% Current number of rules: 752
% New rule produced :
% [768]
% composition(composition(composition(A,composition(composition(B,C),V_3)),V_4),V_5)
% <->
% composition(composition(A,B),composition(composition(C,V_3),composition(V_4,V_5)))
% Current number of equations to process: 399
% Current number of ordered equations: 0
% Current number of rules: 753
% New rule produced :
% [769]
% composition(A,composition(composition(composition(B,C),V_3),composition(V_4,V_5)))
% <->
% composition(composition(composition(composition(composition(A,B),C),V_3),V_4),V_5)
% Current number of equations to process: 395
% Current number of ordered equations: 7
% Current number of rules: 754
% New rule produced :
% [770]
% composition(A,composition(B,composition(C,composition(composition(V_3,V_4),V_5))))
% <->
% composition(composition(composition(composition(composition(A,B),C),V_3),V_4),V_5)
% Current number of equations to process: 395
% Current number of ordered equations: 6
% Current number of rules: 755
% New rule produced :
% [771]
% composition(A,composition(B,composition(composition(composition(C,V_3),V_4),V_5)))
% <->
% composition(composition(composition(composition(composition(A,B),C),V_3),V_4),V_5)
% Current number of equations to process: 395
% Current number of ordered equations: 5
% Current number of rules: 756
% New rule produced :
% [772]
% composition(A,composition(composition(B,composition(C,composition(V_3,V_4))),V_5))
% <->
% composition(composition(composition(A,composition(composition(B,C),V_3)),V_4),V_5)
% Current number of equations to process: 395
% Current number of ordered equations: 4
% Current number of rules: 757
% New rule produced :
% [773]
% composition(composition(composition(A,composition(composition(B,C),V_3)),V_4),V_5)
% <->
% composition(A,composition(composition(B,composition(C,composition(V_3,V_4))),V_5))
% Current number of equations to process: 395
% Current number of ordered equations: 3
% Current number of rules: 758
% New rule produced :
% [774]
% composition(composition(composition(composition(composition(A,B),C),V_3),V_4),V_5)
% <->
% composition(A,composition(composition(composition(B,C),V_3),composition(V_4,V_5)))
% Current number of equations to process: 395
% Current number of ordered equations: 2
% Current number of rules: 759
% New rule produced :
% [775]
% composition(composition(composition(composition(composition(A,B),C),V_3),V_4),V_5)
% <->
% composition(A,composition(B,composition(C,composition(composition(V_3,V_4),V_5))))
% Current number of equations to process: 395
% Current number of ordered equations: 1
% Current number of rules: 760
% New rule produced :
% [776]
% composition(composition(composition(composition(composition(A,B),C),V_3),V_4),V_5)
% <->
% composition(A,composition(B,composition(composition(composition(C,V_3),V_4),V_5)))
% Current number of equations to process: 395
% Current number of ordered equations: 0
% Current number of rules: 761
% New rule produced :
% [777]
% composition(A,composition(B,composition(composition(C,composition(V_3,V_4)),V_5)))
% <->
% composition(composition(composition(composition(A,B),composition(C,V_3)),V_4),V_5)
% Current number of equations to process: 390
% Current number of ordered equations: 9
% Current number of rules: 762
% New rule produced :
% [778]
% composition(A,composition(composition(B,composition(C,V_3)),composition(V_4,V_5)))
% <->
% composition(composition(composition(composition(A,composition(B,C)),V_3),V_4),V_5)
% Current number of equations to process: 390
% Current number of ordered equations: 8
% Current number of rules: 763
% New rule produced :
% [779]
% composition(A,composition(B,composition(C,composition(V_3,composition(V_4,V_5)))))
% <->
% composition(composition(A,composition(composition(composition(B,C),V_3),V_4)),V_5)
% Current number of equations to process: 390
% Current number of ordered equations: 7
% Current number of rules: 764
% New rule produced :
% [780]
% composition(A,composition(B,composition(C,composition(V_3,composition(V_4,V_5)))))
% <->
% composition(composition(A,composition(B,composition(composition(C,V_3),V_4))),V_5)
% Current number of equations to process: 390
% Current number of ordered equations: 6
% Current number of rules: 765
% New rule produced :
% [781]
% composition(A,composition(B,composition(C,composition(V_3,composition(V_4,V_5)))))
% <->
% composition(composition(composition(composition(A,B),C),composition(V_3,V_4)),V_5)
% Current number of equations to process: 390
% Current number of ordered equations: 5
% Current number of rules: 766
% New rule produced :
% [782]
% composition(composition(A,composition(composition(composition(B,C),V_3),V_4)),V_5)
% <->
% composition(A,composition(B,composition(C,composition(V_3,composition(V_4,V_5)))))
% Current number of equations to process: 390
% Current number of ordered equations: 4
% Current number of rules: 767
% New rule produced :
% [783]
% composition(composition(composition(composition(A,composition(B,C)),V_3),V_4),V_5)
% <->
% composition(A,composition(composition(B,composition(C,V_3)),composition(V_4,V_5)))
% Current number of equations to process: 390
% Current number of ordered equations: 3
% Current number of rules: 768
% New rule produced :
% [784]
% composition(composition(A,composition(B,composition(composition(C,V_3),V_4))),V_5)
% <->
% composition(A,composition(B,composition(C,composition(V_3,composition(V_4,V_5)))))
% Current number of equations to process: 390
% Current number of ordered equations: 2
% Current number of rules: 769
% New rule produced :
% [785]
% composition(composition(composition(composition(A,B),C),composition(V_3,V_4)),V_5)
% <->
% composition(A,composition(B,composition(C,composition(V_3,composition(V_4,V_5)))))
% Current number of equations to process: 390
% Current number of ordered equations: 1
% Current number of rules: 770
% New rule produced :
% [786]
% composition(composition(composition(composition(A,B),composition(C,V_3)),V_4),V_5)
% <->
% composition(A,composition(B,composition(composition(C,composition(V_3,V_4)),V_5)))
% Current number of equations to process: 390
% Current number of ordered equations: 0
% Current number of rules: 771
% New rule produced :
% [787]
% composition(A,composition(B,composition(composition(C,composition(V_3,V_4)),V_5)))
% <->
% composition(composition(composition(composition(composition(A,B),C),V_3),V_4),V_5)
% Current number of equations to process: 385
% Current number of ordered equations: 9
% Current number of rules: 772
% New rule produced :
% [788]
% composition(A,composition(composition(B,composition(C,V_3)),composition(V_4,V_5)))
% <->
% composition(composition(composition(composition(composition(A,B),C),V_3),V_4),V_5)
% Current number of equations to process: 385
% Current number of ordered equations: 8
% Current number of rules: 773
% New rule produced :
% [789]
% composition(A,composition(B,composition(C,composition(V_3,composition(V_4,V_5)))))
% <->
% composition(composition(composition(A,B),composition(composition(C,V_3),V_4)),V_5)
% Current number of equations to process: 385
% Current number of ordered equations: 7
% Current number of rules: 774
% New rule produced :
% [790]
% composition(A,composition(B,composition(C,composition(V_3,composition(V_4,V_5)))))
% <->
% composition(composition(composition(A,composition(composition(B,C),V_3)),V_4),V_5)
% Current number of equations to process: 385
% Current number of ordered equations: 6
% Current number of rules: 775
% New rule produced :
% [791]
% composition(A,composition(B,composition(C,composition(V_3,composition(V_4,V_5)))))
% <->
% composition(composition(composition(composition(composition(A,B),C),V_3),V_4),V_5)
% Current number of equations to process: 385
% Current number of ordered equations: 5
% Current number of rules: 776
% New rule produced :
% [792]
% composition(composition(composition(A,B),composition(composition(C,V_3),V_4)),V_5)
% <->
% composition(A,composition(B,composition(C,composition(V_3,composition(V_4,V_5)))))
% Current number of equations to process: 385
% Current number of ordered equations: 4
% Current number of rules: 777
% New rule produced :
% [793]
% composition(composition(composition(A,composition(composition(B,C),V_3)),V_4),V_5)
% <->
% composition(A,composition(B,composition(C,composition(V_3,composition(V_4,V_5)))))
% Current number of equations to process: 385
% Current number of ordered equations: 3
% Current number of rules: 778
% New rule produced :
% [794]
% composition(composition(composition(composition(composition(A,B),C),V_3),V_4),V_5)
% <->
% composition(A,composition(B,composition(composition(C,composition(V_3,V_4)),V_5)))
% Current number of equations to process: 385
% Current number of ordered equations: 2
% Current number of rules: 779
% New rule produced :
% [795]
% composition(composition(composition(composition(composition(A,B),C),V_3),V_4),V_5)
% <->
% composition(A,composition(composition(B,composition(C,V_3)),composition(V_4,V_5)))
% Current number of equations to process: 385
% Current number of ordered equations: 1
% Current number of rules: 780
% New rule produced :
% [796]
% composition(composition(composition(composition(composition(A,B),C),V_3),V_4),V_5)
% <->
% composition(A,composition(B,composition(C,composition(V_3,composition(V_4,V_5)))))
% Current number of equations to process: 385
% Current number of ordered equations: 0
% Current number of rules: 781
% New rule produced :
% [797]
% composition(A,composition(composition(composition(B,C),V_3),composition(V_4,V_5)))
% <->
% composition(composition(A,composition(B,composition(C,composition(V_3,V_4)))),V_5)
% Current number of equations to process: 382
% Current number of ordered equations: 5
% Current number of rules: 782
% New rule produced :
% [798]
% composition(composition(A,composition(B,C)),composition(V_3,composition(V_4,V_5)))
% <->
% composition(composition(composition(A,composition(B,composition(C,V_3))),V_4),V_5)
% Current number of equations to process: 382
% Current number of ordered equations: 4
% Current number of rules: 783
% New rule produced :
% [799]
% composition(composition(composition(A,B),C),composition(V_3,composition(V_4,V_5)))
% <->
% composition(composition(A,composition(B,composition(C,composition(V_3,V_4)))),V_5)
% Current number of equations to process: 382
% Current number of ordered equations: 3
% Current number of rules: 784
% New rule produced :
% [800]
% composition(composition(composition(A,composition(B,composition(C,V_3))),V_4),V_5)
% <->
% composition(composition(A,composition(B,C)),composition(V_3,composition(V_4,V_5)))
% Current number of equations to process: 382
% Current number of ordered equations: 2
% Current number of rules: 785
% New rule produced :
% [801]
% composition(composition(A,composition(B,composition(C,composition(V_3,V_4)))),V_5)
% <->
% composition(A,composition(composition(composition(B,C),V_3),composition(V_4,V_5)))
% Current number of equations to process: 382
% Current number of ordered equations: 1
% Current number of rules: 786
% New rule produced :
% [802]
% composition(composition(A,composition(B,composition(C,composition(V_3,V_4)))),V_5)
% <->
% composition(composition(composition(A,B),C),composition(V_3,composition(V_4,V_5)))
% Current number of equations to process: 382
% Current number of ordered equations: 0
% Current number of rules: 787
% New rule produced :
% [803]
% composition(composition(composition(A,B),C),composition(composition(V_3,V_4),V_5))
% <->
% composition(composition(composition(A,composition(B,composition(C,V_3))),V_4),V_5)
% Current number of equations to process: 380
% Current number of ordered equations: 3
% Current number of rules: 788
% New rule produced :
% [804]
% composition(composition(composition(A,B),C),composition(V_3,composition(V_4,V_5)))
% <->
% composition(composition(composition(A,composition(composition(B,C),V_3)),V_4),V_5)
% Current number of equations to process: 380
% Current number of ordered equations: 2
% Current number of rules: 789
% New rule produced :
% [805]
% composition(composition(composition(A,composition(composition(B,C),V_3)),V_4),V_5)
% <->
% composition(composition(composition(A,B),C),composition(V_3,composition(V_4,V_5)))
% Current number of equations to process: 380
% Current number of ordered equations: 1
% Current number of rules: 790
% New rule produced :
% [806]
% composition(composition(composition(A,composition(B,composition(C,V_3))),V_4),V_5)
% <->
% composition(composition(composition(A,B),C),composition(composition(V_3,V_4),V_5))
% Current number of equations to process: 380
% Current number of ordered equations: 0
% Current number of rules: 791
% New rule produced :
% [807]
% composition(composition(composition(A,B),C),composition(V_3,composition(V_4,V_5)))
% <->
% composition(composition(composition(A,composition(B,composition(C,V_3))),V_4),V_5)
% Current number of equations to process: 379
% Current number of ordered equations: 1
% Current number of rules: 792
% New rule produced :
% [808]
% composition(composition(composition(A,composition(B,composition(C,V_3))),V_4),V_5)
% <->
% composition(composition(composition(A,B),C),composition(V_3,composition(V_4,V_5)))
% Current number of equations to process: 379
% Current number of ordered equations: 0
% Current number of rules: 793
% New rule produced :
% [809]
% composition(complement(composition(composition(A,B),C)),V_3) join composition(A,
% composition(B,
% composition(C,V_3)))
% -> composition(top,V_3)
% Current number of equations to process: 378
% Current number of ordered equations: 0
% Current number of rules: 794
% New rule produced :
% [810]
% converse(composition(composition(A,B),composition(C,converse(V_3)))) <->
% composition(V_3,converse(composition(A,composition(B,C))))
% Current number of equations to process: 430
% Current number of ordered equations: 1
% Current number of rules: 795
% New rule produced :
% [811]
% composition(V_3,converse(composition(A,composition(B,C)))) <->
% converse(composition(composition(A,B),composition(C,converse(V_3))))
% Current number of equations to process: 430
% Current number of ordered equations: 0
% Current number of rules: 796
% New rule produced :
% [812]
% converse(composition(A,converse(composition(B,composition(C,V_3))))) <->
% composition(composition(B,C),composition(V_3,converse(A)))
% Current number of equations to process: 428
% Current number of ordered equations: 3
% Current number of rules: 797
% New rule produced :
% [813]
% composition(composition(A,converse(composition(B,converse(C)))),V_3) <->
% composition(composition(A,C),composition(converse(B),V_3))
% Current number of equations to process: 428
% Current number of ordered equations: 2
% Current number of rules: 798
% New rule produced :
% [814]
% composition(composition(B,C),composition(V_3,converse(A))) <->
% converse(composition(A,converse(composition(B,composition(C,V_3)))))
% Current number of equations to process: 428
% Current number of ordered equations: 1
% Current number of rules: 799
% New rule produced :
% [815]
% composition(composition(A,C),composition(converse(B),V_3)) <->
% composition(composition(A,converse(composition(B,converse(C)))),V_3)
% Current number of equations to process: 428
% Current number of ordered equations: 0
% Current number of rules: 800
% New rule produced :
% [816]
% composition(composition(A,converse(composition(converse(B),C))),V_3) <->
% composition(composition(A,converse(C)),composition(B,V_3))
% Current number of equations to process: 426
% Current number of ordered equations: 3
% Current number of rules: 801
% New rule produced :
% [817]
% composition(composition(converse(C),A),composition(B,V_3)) <->
% composition(converse(composition(converse(composition(A,B)),C)),V_3)
% Current number of equations to process: 426
% Current number of ordered equations: 2
% Current number of rules: 802
% New rule produced :
% [818]
% composition(composition(A,converse(C)),composition(B,V_3)) <->
% composition(composition(A,converse(composition(converse(B),C))),V_3)
% Current number of equations to process: 426
% Current number of ordered equations: 1
% Current number of rules: 803
% New rule produced :
% [819]
% composition(converse(composition(converse(composition(A,B)),C)),V_3) <->
% composition(composition(converse(C),A),composition(B,V_3))
% Current number of equations to process: 426
% Current number of ordered equations: 0
% Current number of rules: 804
% New rule produced :
% [820]
% composition(composition(A,composition(B,C)),composition(V_3,V_4)) <->
% composition(composition(composition(composition(A,B),C),V_3),V_4)
% Current number of equations to process: 425
% Current number of ordered equations: 1
% Current number of rules: 805
% New rule produced :
% [821]
% composition(composition(composition(composition(A,B),C),V_3),V_4) <->
% composition(composition(A,composition(B,C)),composition(V_3,V_4))
% Current number of equations to process: 425
% Current number of ordered equations: 0
% Current number of rules: 806
% New rule produced :
% [822]
% composition(composition(A,B),composition(C,V_3) join composition(V_4,V_3))
% <-> composition(composition(A,composition(B,C join V_4)),V_3)
% Current number of equations to process: 424
% Current number of ordered equations: 1
% Current number of rules: 807
% New rule produced :
% [823]
% composition(composition(A,composition(B,C join V_4)),V_3) <->
% composition(composition(A,B),composition(C,V_3) join composition(V_4,V_3))
% Current number of equations to process: 424
% Current number of ordered equations: 0
% Current number of rules: 808
% New rule produced :
% [824]
% composition(composition(A,composition(composition(B,converse(C)),converse(V_3))),V_4)
% <->
% composition(composition(A,B),composition(converse(composition(V_3,C)),V_4))
% Current number of equations to process: 425
% Current number of ordered equations: 5
% Current number of rules: 809
% New rule produced :
% [825]
% composition(A,converse(composition(composition(B,C),composition(V_3,V_4))))
% <->
% composition(composition(A,converse(V_4)),converse(composition(B,composition(C,V_3))))
% Current number of equations to process: 425
% Current number of ordered equations: 4
% Current number of rules: 810
% New rule produced :
% [826]
% composition(composition(A,B),composition(converse(composition(V_3,C)),V_4))
% <->
% composition(composition(A,composition(composition(B,converse(C)),converse(V_3))),V_4)
% Current number of equations to process: 425
% Current number of ordered equations: 3
% Current number of rules: 811
% New rule produced :
% [827]
% composition(composition(A,B),composition(C,converse(composition(V_4,V_3))))
% <->
% composition(composition(composition(A,composition(B,C)),converse(V_3)),
% converse(V_4))
% Current number of equations to process: 425
% Current number of ordered equations: 2
% Current number of rules: 812
% New rule produced :
% [828]
% composition(composition(A,converse(V_4)),converse(composition(B,composition(C,V_3))))
% <->
% composition(A,converse(composition(composition(B,C),composition(V_3,V_4))))
% Current number of equations to process: 425
% Current number of ordered equations: 1
% Current number of rules: 813
% New rule produced :
% [829]
% composition(composition(composition(A,composition(B,C)),converse(V_3)),
% converse(V_4)) <->
% composition(composition(A,B),composition(C,converse(composition(V_4,V_3))))
% Current number of equations to process: 425
% Current number of ordered equations: 0
% Current number of rules: 814
% New rule produced :
% [830]
% composition(composition(A,composition(B,converse(V_3))),composition(converse(C),V_4))
% <->
% composition(composition(A,composition(B,converse(composition(C,V_3)))),V_4)
% Current number of equations to process: 423
% Current number of ordered equations: 3
% Current number of rules: 815
% New rule produced :
% [831]
% composition(composition(A,composition(B,converse(composition(C,V_3)))),V_4)
% <->
% composition(composition(A,composition(B,converse(V_3))),composition(converse(C),V_4))
% Current number of equations to process: 423
% Current number of ordered equations: 2
% Current number of rules: 816
% New rule produced :
% [832]
% composition(composition(A,composition(B,C)),converse(composition(V_4,V_3)))
% <->
% composition(composition(composition(A,B),composition(C,converse(V_3))),
% converse(V_4))
% Current number of equations to process: 423
% Current number of ordered equations: 1
% Current number of rules: 817
% New rule produced :
% [833]
% composition(composition(composition(A,B),composition(C,converse(V_3))),
% converse(V_4)) <->
% composition(composition(A,composition(B,C)),converse(composition(V_4,V_3)))
% Current number of equations to process: 423
% Current number of ordered equations: 0
% Current number of rules: 818
% New rule produced :
% [834]
% composition(composition(A,composition(converse(composition(B,C)),V_3)),V_4)
% <->
% composition(composition(A,converse(C)),composition(composition(converse(B),V_3),V_4))
% Current number of equations to process: 422
% Current number of ordered equations: 1
% Current number of rules: 819
% New rule produced :
% [835]
% composition(composition(A,converse(C)),composition(composition(converse(B),V_3),V_4))
% <->
% composition(composition(A,composition(converse(composition(B,C)),V_3)),V_4)
% Current number of equations to process: 422
% Current number of ordered equations: 0
% Current number of rules: 820
% New rule produced :
% [836]
% composition(composition(converse(composition(B,A)),C),composition(V_3,V_4))
% <->
% composition(composition(converse(A),composition(converse(B),composition(C,V_3))),V_4)
% Current number of equations to process: 419
% Current number of ordered equations: 5
% Current number of rules: 821
% New rule produced :
% [837]
% composition(composition(A,composition(converse(B),composition(converse(C),V_3))),V_4)
% <->
% composition(composition(A,converse(composition(C,B))),composition(V_3,V_4))
% Current number of equations to process: 419
% Current number of ordered equations: 4
% Current number of rules: 822
% New rule produced :
% [838]
% composition(converse(V_3),composition(converse(composition(A,composition(B,C))),V_4))
% <->
% composition(converse(composition(composition(A,B),composition(C,V_3))),V_4)
% Current number of equations to process: 419
% Current number of ordered equations: 3
% Current number of rules: 823
% New rule produced :
% [839]
% composition(composition(converse(A),composition(converse(B),composition(C,V_3))),V_4)
% <->
% composition(composition(converse(composition(B,A)),C),composition(V_3,V_4))
% Current number of equations to process: 419
% Current number of ordered equations: 2
% Current number of rules: 824
% New rule produced :
% [840]
% composition(converse(composition(composition(A,B),composition(C,V_3))),V_4)
% <->
% composition(converse(V_3),composition(converse(composition(A,composition(B,C))),V_4))
% Current number of equations to process: 419
% Current number of ordered equations: 1
% Current number of rules: 825
% New rule produced :
% [841]
% composition(composition(A,converse(composition(C,B))),composition(V_3,V_4))
% <->
% composition(composition(A,composition(converse(B),composition(converse(C),V_3))),V_4)
% Current number of equations to process: 419
% Current number of ordered equations: 0
% Current number of rules: 826
% New rule produced :
% [842]
% composition(A,composition(composition(composition(B,C),composition(V_3,V_4)),V_5))
% <->
% composition(composition(A,composition(B,composition(C,V_3))),composition(V_4,V_5))
% Current number of equations to process: 416
% Current number of ordered equations: 5
% Current number of rules: 827
% New rule produced :
% [843]
% composition(composition(A,B),composition(composition(composition(C,V_3),V_4),V_5))
% <->
% composition(composition(A,composition(composition(B,C),composition(V_3,V_4))),V_5)
% Current number of equations to process: 416
% Current number of ordered equations: 4
% Current number of rules: 828
% New rule produced :
% [844]
% composition(composition(A,B),composition(C,composition(composition(V_3,V_4),V_5)))
% <->
% composition(composition(composition(A,composition(B,C)),V_3),composition(V_4,V_5))
% Current number of equations to process: 416
% Current number of ordered equations: 3
% Current number of rules: 829
% New rule produced :
% [845]
% composition(composition(composition(A,composition(B,C)),V_3),composition(V_4,V_5))
% <->
% composition(composition(A,B),composition(C,composition(composition(V_3,V_4),V_5)))
% Current number of equations to process: 416
% Current number of ordered equations: 2
% Current number of rules: 830
% New rule produced :
% [846]
% composition(composition(A,composition(B,composition(C,V_3))),composition(V_4,V_5))
% <->
% composition(A,composition(composition(composition(B,C),composition(V_3,V_4)),V_5))
% Current number of equations to process: 416
% Current number of ordered equations: 1
% Current number of rules: 831
% New rule produced :
% [847]
% composition(composition(A,composition(composition(B,C),composition(V_3,V_4))),V_5)
% <->
% composition(composition(A,B),composition(composition(composition(C,V_3),V_4),V_5))
% Current number of equations to process: 416
% Current number of ordered equations: 0
% Current number of rules: 832
% New rule produced :
% [848]
% composition(A,composition(composition(B,composition(C,composition(V_3,V_4))),V_5))
% <->
% composition(composition(A,B),composition(composition(C,V_3),composition(V_4,V_5)))
% Current number of equations to process: 413
% Current number of ordered equations: 5
% Current number of rules: 833
% New rule produced :
% [849]
% composition(composition(A,composition(B,C)),composition(composition(V_3,V_4),V_5))
% <->
% composition(composition(composition(A,B),composition(C,V_3)),composition(V_4,V_5))
% Current number of equations to process: 413
% Current number of ordered equations: 4
% Current number of rules: 834
% New rule produced :
% [850]
% composition(composition(A,composition(B,C)),composition(composition(V_3,V_4),V_5))
% <->
% composition(composition(A,composition(B,composition(composition(C,V_3),V_4))),V_5)
% Current number of equations to process: 413
% Current number of ordered equations: 3
% Current number of rules: 835
% New rule produced :
% [851]
% composition(composition(A,B),composition(composition(C,V_3),composition(V_4,V_5)))
% <->
% composition(A,composition(composition(B,composition(C,composition(V_3,V_4))),V_5))
% Current number of equations to process: 413
% Current number of ordered equations: 2
% Current number of rules: 836
% New rule produced :
% [852]
% composition(composition(composition(A,B),composition(C,V_3)),composition(V_4,V_5))
% <->
% composition(composition(A,composition(B,C)),composition(composition(V_3,V_4),V_5))
% Current number of equations to process: 413
% Current number of ordered equations: 1
% Current number of rules: 837
% New rule produced :
% [853]
% composition(composition(A,composition(B,composition(composition(C,V_3),V_4))),V_5)
% <->
% composition(composition(A,composition(B,C)),composition(composition(V_3,V_4),V_5))
% Current number of equations to process: 413
% Current number of ordered equations: 0
% Current number of rules: 838
% New rule produced :
% [854]
% composition(A,composition(composition(composition(B,C),composition(V_3,V_4)),V_5))
% <->
% composition(composition(composition(A,composition(B,composition(C,V_3))),V_4),V_5)
% Current number of equations to process: 410
% Current number of ordered equations: 5
% Current number of rules: 839
% New rule produced :
% [855]
% composition(composition(A,B),composition(composition(composition(C,V_3),V_4),V_5))
% <->
% composition(composition(A,composition(composition(composition(B,C),V_3),V_4)),V_5)
% Current number of equations to process: 410
% Current number of ordered equations: 4
% Current number of rules: 840
% New rule produced :
% [856]
% composition(composition(A,B),composition(C,composition(composition(V_3,V_4),V_5)))
% <->
% composition(composition(composition(composition(A,composition(B,C)),V_3),V_4),V_5)
% Current number of equations to process: 410
% Current number of ordered equations: 3
% Current number of rules: 841
% New rule produced :
% [857]
% composition(composition(A,composition(composition(composition(B,C),V_3),V_4)),V_5)
% <->
% composition(composition(A,B),composition(composition(composition(C,V_3),V_4),V_5))
% Current number of equations to process: 410
% Current number of ordered equations: 2
% Current number of rules: 842
% New rule produced :
% [858]
% composition(composition(composition(composition(A,composition(B,C)),V_3),V_4),V_5)
% <->
% composition(composition(A,B),composition(C,composition(composition(V_3,V_4),V_5)))
% Current number of equations to process: 410
% Current number of ordered equations: 1
% Current number of rules: 843
% New rule produced :
% [859]
% composition(composition(composition(A,composition(B,composition(C,V_3))),V_4),V_5)
% <->
% composition(A,composition(composition(composition(B,C),composition(V_3,V_4)),V_5))
% Current number of equations to process: 410
% Current number of ordered equations: 0
% Current number of rules: 844
% New rule produced :
% [860]
% composition(A,composition(composition(B,C),composition(V_3,composition(V_4,V_5))))
% <->
% composition(composition(A,composition(composition(B,composition(C,V_3)),V_4)),V_5)
% Current number of equations to process: 406
% Current number of ordered equations: 7
% Current number of rules: 845
% New rule produced :
% [861]
% composition(A,composition(B,composition(composition(C,V_3),composition(V_4,V_5))))
% <->
% composition(composition(A,composition(B,composition(C,composition(V_3,V_4)))),V_5)
% Current number of equations to process: 406
% Current number of ordered equations: 6
% Current number of rules: 846
% New rule produced :
% [862]
% composition(composition(A,B),composition(composition(C,composition(V_3,V_4)),V_5))
% <->
% composition(composition(A,composition(composition(B,composition(C,V_3)),V_4)),V_5)
% Current number of equations to process: 406
% Current number of ordered equations: 5
% Current number of rules: 847
% New rule produced :
% [863]
% composition(composition(A,B),composition(C,composition(V_3,composition(V_4,V_5))))
% <->
% composition(composition(composition(A,composition(B,C)),composition(V_3,V_4)),V_5)
% Current number of equations to process: 406
% Current number of ordered equations: 4
% Current number of rules: 848
% New rule produced :
% [864]
% composition(composition(composition(A,composition(B,C)),composition(V_3,V_4)),V_5)
% <->
% composition(composition(A,B),composition(C,composition(V_3,composition(V_4,V_5))))
% Current number of equations to process: 406
% Current number of ordered equations: 3
% Current number of rules: 849
% New rule produced :
% [865]
% composition(composition(A,composition(composition(B,composition(C,V_3)),V_4)),V_5)
% <->
% composition(A,composition(composition(B,C),composition(V_3,composition(V_4,V_5))))
% Current number of equations to process: 406
% Current number of ordered equations: 2
% Current number of rules: 850
% New rule produced :
% [866]
% composition(composition(A,composition(composition(B,composition(C,V_3)),V_4)),V_5)
% <->
% composition(composition(A,B),composition(composition(C,composition(V_3,V_4)),V_5))
% Current number of equations to process: 406
% Current number of ordered equations: 1
% Current number of rules: 851
% New rule produced :
% [867]
% composition(composition(A,composition(B,composition(C,composition(V_3,V_4)))),V_5)
% <->
% composition(A,composition(B,composition(composition(C,V_3),composition(V_4,V_5))))
% Current number of equations to process: 406
% Current number of ordered equations: 0
% Current number of rules: 852
% New rule produced :
% [868]
% composition(A,composition(composition(B,C),composition(V_3,composition(V_4,V_5))))
% <->
% composition(composition(composition(A,composition(B,composition(C,V_3))),V_4),V_5)
% Current number of equations to process: 402
% Current number of ordered equations: 7
% Current number of rules: 853
% New rule produced :
% [869]
% composition(A,composition(B,composition(composition(C,V_3),composition(V_4,V_5))))
% <->
% composition(composition(composition(A,B),composition(C,composition(V_3,V_4))),V_5)
% Current number of equations to process: 402
% Current number of ordered equations: 6
% Current number of rules: 854
% New rule produced :
% [870]
% composition(composition(A,B),composition(composition(C,composition(V_3,V_4)),V_5))
% <->
% composition(composition(A,composition(composition(composition(B,C),V_3),V_4)),V_5)
% Current number of equations to process: 402
% Current number of ordered equations: 5
% Current number of rules: 855
% New rule produced :
% [871]
% composition(composition(A,B),composition(C,composition(V_3,composition(V_4,V_5))))
% <->
% composition(composition(composition(composition(A,composition(B,C)),V_3),V_4),V_5)
% Current number of equations to process: 402
% Current number of ordered equations: 4
% Current number of rules: 856
% New rule produced :
% [872]
% composition(composition(A,composition(composition(composition(B,C),V_3),V_4)),V_5)
% <->
% composition(composition(A,B),composition(composition(C,composition(V_3,V_4)),V_5))
% Current number of equations to process: 402
% Current number of ordered equations: 3
% Current number of rules: 857
% New rule produced :
% [873]
% composition(composition(composition(A,B),composition(C,composition(V_3,V_4))),V_5)
% <->
% composition(A,composition(B,composition(composition(C,V_3),composition(V_4,V_5))))
% Current number of equations to process: 402
% Current number of ordered equations: 2
% Current number of rules: 858
% New rule produced :
% [874]
% composition(composition(composition(composition(A,composition(B,C)),V_3),V_4),V_5)
% <->
% composition(composition(A,B),composition(C,composition(V_3,composition(V_4,V_5))))
% Current number of equations to process: 402
% Current number of ordered equations: 1
% Current number of rules: 859
% New rule produced :
% [875]
% composition(composition(composition(A,composition(B,composition(C,V_3))),V_4),V_5)
% <->
% composition(A,composition(composition(B,C),composition(V_3,composition(V_4,V_5))))
% Current number of equations to process: 402
% Current number of ordered equations: 0
% Current number of rules: 860
% New rule produced :
% [876]
% composition(A,composition(composition(B,composition(C,V_3)),composition(V_4,V_5)))
% <->
% composition(composition(A,composition(composition(B,C),composition(V_3,V_4))),V_5)
% Current number of equations to process: 398
% Current number of ordered equations: 7
% Current number of rules: 861
% New rule produced :
% [877]
% composition(composition(A,composition(B,C)),composition(V_3,composition(V_4,V_5)))
% <->
% composition(composition(composition(A,B),composition(C,composition(V_3,V_4))),V_5)
% Current number of equations to process: 398
% Current number of ordered equations: 6
% Current number of rules: 862
% New rule produced :
% [878]
% composition(composition(composition(A,composition(B,C)),V_3),composition(V_4,V_5))
% <->
% composition(composition(A,composition(B,composition(C,composition(V_3,V_4)))),V_5)
% Current number of equations to process: 398
% Current number of ordered equations: 5
% Current number of rules: 863
% New rule produced :
% [879]
% composition(composition(A,composition(B,composition(C,V_3))),composition(V_4,V_5))
% <->
% composition(composition(A,composition(B,composition(C,composition(V_3,V_4)))),V_5)
% Current number of equations to process: 398
% Current number of ordered equations: 4
% Current number of rules: 864
% New rule produced :
% [880]
% composition(composition(composition(A,B),composition(C,composition(V_3,V_4))),V_5)
% <->
% composition(composition(A,composition(B,C)),composition(V_3,composition(V_4,V_5)))
% Current number of equations to process: 398
% Current number of ordered equations: 3
% Current number of rules: 865
% New rule produced :
% [881]
% composition(composition(A,composition(composition(B,C),composition(V_3,V_4))),V_5)
% <->
% composition(A,composition(composition(B,composition(C,V_3)),composition(V_4,V_5)))
% Current number of equations to process: 398
% Current number of ordered equations: 2
% Current number of rules: 866
% New rule produced :
% [882]
% composition(composition(A,composition(B,composition(C,composition(V_3,V_4)))),V_5)
% <->
% composition(composition(composition(A,composition(B,C)),V_3),composition(V_4,V_5))
% Current number of equations to process: 398
% Current number of ordered equations: 1
% Current number of rules: 867
% New rule produced :
% [883]
% composition(composition(A,composition(B,composition(C,composition(V_3,V_4)))),V_5)
% <->
% composition(composition(A,composition(B,composition(C,V_3))),composition(V_4,V_5))
% Current number of equations to process: 398
% Current number of ordered equations: 0
% Current number of rules: 868
% New rule produced :
% [884]
% composition(composition(A,composition(B,C)),composition(composition(V_3,V_4),V_5))
% <->
% composition(composition(composition(composition(A,B),composition(C,V_3)),V_4),V_5)
% Current number of equations to process: 395
% Current number of ordered equations: 5
% Current number of rules: 869
% New rule produced :
% [885]
% composition(composition(A,composition(composition(B,C),V_3)),composition(V_4,V_5))
% <->
% composition(composition(A,composition(B,composition(composition(C,V_3),V_4))),V_5)
% Current number of equations to process: 395
% Current number of ordered equations: 4
% Current number of rules: 870
% New rule produced :
% [886]
% composition(composition(composition(composition(A,B),C),V_3),composition(V_4,V_5))
% <->
% composition(composition(A,composition(composition(B,C),composition(V_3,V_4))),V_5)
% Current number of equations to process: 395
% Current number of ordered equations: 3
% Current number of rules: 871
% New rule produced :
% [887]
% composition(composition(A,composition(composition(B,C),composition(V_3,V_4))),V_5)
% <->
% composition(composition(composition(composition(A,B),C),V_3),composition(V_4,V_5))
% Current number of equations to process: 395
% Current number of ordered equations: 2
% Current number of rules: 872
% New rule produced :
% [888]
% composition(composition(A,composition(B,composition(composition(C,V_3),V_4))),V_5)
% <->
% composition(composition(A,composition(composition(B,C),V_3)),composition(V_4,V_5))
% Current number of equations to process: 395
% Current number of ordered equations: 1
% Current number of rules: 873
% New rule produced :
% [889]
% composition(composition(composition(composition(A,B),composition(C,V_3)),V_4),V_5)
% <->
% composition(composition(A,composition(B,C)),composition(composition(V_3,V_4),V_5))
% Current number of equations to process: 395
% Current number of ordered equations: 0
% Current number of rules: 874
% New rule produced :
% [890]
% composition(composition(A,composition(B,C)),composition(V_3,composition(V_4,V_5)))
% <->
% composition(composition(composition(composition(A,B),composition(C,V_3)),V_4),V_5)
% Current number of equations to process: 392
% Current number of ordered equations: 5
% Current number of rules: 875
% New rule produced :
% [891]
% composition(composition(A,composition(composition(B,C),V_3)),composition(V_4,V_5))
% <->
% composition(composition(A,composition(B,composition(C,composition(V_3,V_4)))),V_5)
% Current number of equations to process: 392
% Current number of ordered equations: 4
% Current number of rules: 876
% New rule produced :
% [892]
% composition(composition(composition(composition(A,B),C),V_3),composition(V_4,V_5))
% <->
% composition(composition(A,composition(B,composition(C,composition(V_3,V_4)))),V_5)
% Current number of equations to process: 392
% Current number of ordered equations: 3
% Current number of rules: 877
% New rule produced :
% [893]
% composition(composition(composition(composition(A,B),composition(C,V_3)),V_4),V_5)
% <->
% composition(composition(A,composition(B,C)),composition(V_3,composition(V_4,V_5)))
% Current number of equations to process: 392
% Current number of ordered equations: 2
% Current number of rules: 878
% New rule produced :
% [894]
% composition(composition(A,composition(B,composition(C,composition(V_3,V_4)))),V_5)
% <->
% composition(composition(A,composition(composition(B,C),V_3)),composition(V_4,V_5))
% Current number of equations to process: 392
% Current number of ordered equations: 1
% Current number of rules: 879
% New rule produced :
% [895]
% composition(composition(A,composition(B,composition(C,composition(V_3,V_4)))),V_5)
% <->
% composition(composition(composition(composition(A,B),C),V_3),composition(V_4,V_5))
% Current number of equations to process: 392
% Current number of ordered equations: 0
% Current number of rules: 880
% New rule produced :
% [896]
% composition(composition(composition(A,composition(B,C)),V_3),composition(V_4,V_5))
% <->
% composition(composition(composition(A,B),composition(C,composition(V_3,V_4))),V_5)
% Current number of equations to process: 390
% Current number of ordered equations: 3
% Current number of rules: 881
% New rule produced :
% [897]
% composition(composition(A,composition(B,composition(C,V_3))),composition(V_4,V_5))
% <->
% composition(composition(A,composition(composition(B,C),composition(V_3,V_4))),V_5)
% Current number of equations to process: 390
% Current number of ordered equations: 2
% Current number of rules: 882
% New rule produced :
% [898]
% composition(composition(composition(A,B),composition(C,composition(V_3,V_4))),V_5)
% <->
% composition(composition(composition(A,composition(B,C)),V_3),composition(V_4,V_5))
% Current number of equations to process: 390
% Current number of ordered equations: 1
% Current number of rules: 883
% New rule produced :
% [899]
% composition(composition(A,composition(composition(B,C),composition(V_3,V_4))),V_5)
% <->
% composition(composition(A,composition(B,composition(C,V_3))),composition(V_4,V_5))
% Current number of equations to process: 390
% Current number of ordered equations: 0
% Current number of rules: 884
% New rule produced :
% [900]
% composition(composition(A,B),composition(C,V_3)) join composition(complement(
% composition(A,
% composition(B,C))),V_3)
% -> composition(top,V_3)
% Current number of equations to process: 389
% Current number of ordered equations: 0
% Current number of rules: 885
% New rule produced :
% [901]
% composition(A,complement(converse(A))) join complement(one) ->
% complement(one)
% Current number of equations to process: 449
% Current number of ordered equations: 0
% Current number of rules: 886
% New rule produced :
% [902]
% converse(composition(converse(zero),top)) join complement(one) ->
% complement(one)
% Current number of equations to process: 448
% Current number of ordered equations: 0
% Current number of rules: 887
% New rule produced :
% [903]
% complement(one) join complement(composition(converse(A),complement(A))) ->
% top
% Current number of equations to process: 450
% Current number of ordered equations: 0
% Current number of rules: 888
% New rule produced :
% [904]
% converse(composition(converse(A),complement(A))) join converse(complement(one))
% -> converse(complement(one))
% Current number of equations to process: 450
% Current number of ordered equations: 0
% Current number of rules: 889
% New rule produced :
% [905]
% composition(composition(A,B),converse(composition(C,converse(V_3)))) <->
% composition(composition(A,composition(B,V_3)),converse(C))
% Current number of equations to process: 446
% Current number of ordered equations: 3
% Current number of rules: 890
% New rule produced :
% [906]
% composition(converse(composition(A,converse(B))),composition(C,V_3)) <->
% composition(composition(B,composition(converse(A),C)),V_3)
% Current number of equations to process: 446
% Current number of ordered equations: 2
% Current number of rules: 891
% New rule produced :
% [907]
% composition(composition(A,composition(B,V_3)),converse(C)) <->
% composition(composition(A,B),converse(composition(C,converse(V_3))))
% Current number of equations to process: 446
% Current number of ordered equations: 1
% Current number of rules: 892
% New rule produced :
% [908]
% composition(composition(B,composition(converse(A),C)),V_3) <->
% composition(converse(composition(A,converse(B))),composition(C,V_3))
% Current number of equations to process: 446
% Current number of ordered equations: 0
% Current number of rules: 893
% New rule produced :
% [909]
% composition(composition(A,composition(B,converse(V_3))),C) <->
% composition(composition(A,B),converse(composition(converse(C),V_3)))
% Current number of equations to process: 444
% Current number of ordered equations: 3
% Current number of rules: 894
% New rule produced :
% [910]
% composition(composition(A,B),converse(composition(converse(C),V_3))) <->
% composition(composition(A,composition(B,converse(V_3))),C)
% Current number of equations to process: 444
% Current number of ordered equations: 2
% Current number of rules: 895
% New rule produced :
% [911]
% composition(converse(composition(converse(A),B)),composition(C,V_3)) <->
% composition(composition(converse(B),composition(A,C)),V_3)
% Current number of equations to process: 444
% Current number of ordered equations: 1
% Current number of rules: 896
% New rule produced :
% [912]
% composition(composition(converse(B),composition(A,C)),V_3) <->
% composition(converse(composition(converse(A),B)),composition(C,V_3))
% Current number of equations to process: 444
% Current number of ordered equations: 0
% Current number of rules: 897
% New rule produced :
% [913]
% complement(composition(converse(A),complement(A)) join B) join complement(one) join B
% -> top
% Current number of equations to process: 443
% Current number of ordered equations: 0
% Current number of rules: 898
% New rule produced :
% [914]
% composition(composition(converse(B),complement(B)),A) join composition(
% complement(one),A)
% -> composition(complement(one),A)
% Current number of equations to process: 442
% Current number of ordered equations: 0
% Current number of rules: 899
% New rule produced :
% [915]
% composition(composition(A,composition(converse(composition(C,B)),V_3)),V_4)
% <->
% composition(composition(composition(A,converse(B)),converse(C)),composition(V_3,V_4))
% Current number of equations to process: 438
% Current number of ordered equations: 5
% Current number of rules: 900
% New rule produced :
% [916]
% composition(A,converse(composition(composition(B,composition(C,V_3)),V_4)))
% <->
% composition(composition(A,converse(composition(V_3,V_4))),converse(composition(B,C)))
% Current number of equations to process: 438
% Current number of ordered equations: 4
% Current number of rules: 901
% New rule produced :
% [917]
% composition(composition(A,composition(B,C)),converse(composition(V_4,V_3)))
% <->
% composition(composition(A,B),composition(composition(C,converse(V_3)),
% converse(V_4)))
% Current number of equations to process: 438
% Current number of ordered equations: 3
% Current number of rules: 902
% New rule produced :
% [918]
% composition(composition(A,B),composition(composition(C,converse(V_3)),
% converse(V_4))) <->
% composition(composition(A,composition(B,C)),converse(composition(V_4,V_3)))
% Current number of equations to process: 438
% Current number of ordered equations: 2
% Current number of rules: 903
% New rule produced :
% [919]
% composition(composition(A,converse(composition(V_3,V_4))),converse(composition(B,C)))
% <->
% composition(A,converse(composition(composition(B,composition(C,V_3)),V_4)))
% Current number of equations to process: 438
% Current number of ordered equations: 1
% Current number of rules: 904
% New rule produced :
% [920]
% composition(composition(composition(A,converse(B)),converse(C)),composition(V_3,V_4))
% <->
% composition(composition(A,composition(converse(composition(C,B)),V_3)),V_4)
% Current number of equations to process: 438
% Current number of ordered equations: 0
% Current number of rules: 905
% New rule produced :
% [921]
% composition(composition(A,B),composition(C,converse(composition(V_3,V_4))))
% <->
% composition(composition(A,composition(B,composition(C,converse(V_4)))),
% converse(V_3))
% Current number of equations to process: 436
% Current number of ordered equations: 3
% Current number of rules: 906
% New rule produced :
% [922]
% composition(composition(composition(A,converse(C)),composition(converse(B),V_3)),V_4)
% <->
% composition(composition(A,converse(composition(B,C))),composition(V_3,V_4))
% Current number of equations to process: 436
% Current number of ordered equations: 2
% Current number of rules: 907
% New rule produced :
% [923]
% composition(composition(A,converse(composition(B,C))),composition(V_3,V_4))
% <->
% composition(composition(composition(A,converse(C)),composition(converse(B),V_3)),V_4)
% Current number of equations to process: 436
% Current number of ordered equations: 1
% Current number of rules: 908
% New rule produced :
% [924]
% composition(composition(A,composition(B,composition(C,converse(V_4)))),
% converse(V_3)) <->
% composition(composition(A,B),composition(C,converse(composition(V_3,V_4))))
% Current number of equations to process: 436
% Current number of ordered equations: 0
% Current number of rules: 909
% New rule produced :
% [925]
% composition(composition(A,composition(B,converse(V_3))),composition(converse(C),V_4))
% <->
% composition(composition(A,B),composition(converse(composition(C,V_3)),V_4))
% Current number of equations to process: 434
% Current number of ordered equations: 3
% Current number of rules: 910
% New rule produced :
% [926]
% composition(composition(A,B),composition(converse(composition(C,V_3)),V_4))
% <->
% composition(composition(A,composition(B,converse(V_3))),composition(converse(C),V_4))
% Current number of equations to process: 434
% Current number of ordered equations: 2
% Current number of rules: 911
% New rule produced :
% [927]
% composition(composition(converse(composition(A,B)),C),composition(V_3,V_4))
% <->
% composition(composition(converse(B),composition(composition(converse(A),C),V_3)),V_4)
% Current number of equations to process: 434
% Current number of ordered equations: 1
% Current number of rules: 912
% New rule produced :
% [928]
% composition(composition(converse(B),composition(composition(converse(A),C),V_3)),V_4)
% <->
% composition(composition(converse(composition(A,B)),C),composition(V_3,V_4))
% Current number of equations to process: 434
% Current number of ordered equations: 0
% Current number of rules: 913
% New rule produced :
% [929]
% composition(composition(converse(A),composition(converse(B),C)),composition(V_3,V_4))
% <->
% composition(composition(converse(composition(B,A)),composition(C,V_3)),V_4)
% Current number of equations to process: 431
% Current number of ordered equations: 5
% Current number of rules: 914
% New rule produced :
% [930]
% composition(converse(composition(C,V_3)),composition(converse(composition(A,B)),V_4))
% <->
% composition(converse(composition(composition(A,composition(B,C)),V_3)),V_4)
% Current number of equations to process: 431
% Current number of ordered equations: 4
% Current number of rules: 915
% New rule produced :
% [931]
% composition(composition(A,composition(B,converse(composition(V_3,C)))),V_4)
% <->
% composition(composition(A,B),composition(converse(C),composition(converse(V_3),V_4)))
% Current number of equations to process: 431
% Current number of ordered equations: 3
% Current number of rules: 916
% New rule produced :
% [932]
% composition(composition(A,B),composition(converse(C),composition(converse(V_3),V_4)))
% <->
% composition(composition(A,composition(B,converse(composition(V_3,C)))),V_4)
% Current number of equations to process: 431
% Current number of ordered equations: 2
% Current number of rules: 917
% New rule produced :
% [933]
% composition(composition(converse(composition(B,A)),composition(C,V_3)),V_4)
% <->
% composition(composition(converse(A),composition(converse(B),C)),composition(V_3,V_4))
% Current number of equations to process: 431
% Current number of ordered equations: 1
% Current number of rules: 918
% New rule produced :
% [934]
% composition(converse(composition(composition(A,composition(B,C)),V_3)),V_4)
% <->
% composition(converse(composition(C,V_3)),composition(converse(composition(A,B)),V_4))
% Current number of equations to process: 431
% Current number of ordered equations: 0
% Current number of rules: 919
% New rule produced :
% [935]
% composition(A,composition(composition(composition(B,composition(C,V_3)),V_4),V_5))
% <->
% composition(composition(A,composition(B,C)),composition(composition(V_3,V_4),V_5))
% Current number of equations to process: 427
% Current number of ordered equations: 5
% Current number of rules: 920
% New rule produced :
% [936]
% composition(composition(A,composition(B,C)),composition(composition(V_3,V_4),V_5))
% <->
% composition(A,composition(composition(composition(B,composition(C,V_3)),V_4),V_5))
% Current number of equations to process: 427
% Current number of ordered equations: 4
% Current number of rules: 921
% New rule produced :
% [937]
% composition(composition(A,composition(B,C)),composition(composition(V_3,V_4),V_5))
% <->
% composition(composition(A,B),composition(composition(C,V_3),composition(V_4,V_5)))
% Current number of equations to process: 427
% Current number of ordered equations: 3
% Current number of rules: 922
% New rule produced :
% [938]
% composition(composition(A,B),composition(composition(C,V_3),composition(V_4,V_5)))
% <->
% composition(composition(A,composition(B,C)),composition(composition(V_3,V_4),V_5))
% Current number of equations to process: 427
% Current number of ordered equations: 2
% Current number of rules: 923
% New rule produced :
% [939]
% composition(composition(composition(A,B),composition(C,V_3)),composition(V_4,V_5))
% <->
% composition(composition(A,composition(composition(composition(B,C),V_3),V_4)),V_5)
% Current number of equations to process: 427
% Current number of ordered equations: 1
% Current number of rules: 924
% New rule produced :
% [940]
% composition(composition(A,composition(composition(composition(B,C),V_3),V_4)),V_5)
% <->
% composition(composition(composition(A,B),composition(C,V_3)),composition(V_4,V_5))
% Current number of equations to process: 427
% Current number of ordered equations: 0
% Current number of rules: 925
% New rule produced :
% [941]
% composition(A,composition(composition(B,composition(C,V_3)),composition(V_4,V_5)))
% <->
% composition(composition(A,B),composition(composition(C,composition(V_3,V_4)),V_5))
% Current number of equations to process: 423
% Current number of ordered equations: 7
% Current number of rules: 926
% New rule produced :
% [942]
% composition(composition(A,B),composition(composition(composition(C,V_3),V_4),V_5))
% <->
% composition(composition(composition(A,composition(B,C)),V_3),composition(V_4,V_5))
% Current number of equations to process: 423
% Current number of ordered equations: 6
% Current number of rules: 927
% New rule produced :
% [943]
% composition(composition(A,B),composition(C,composition(composition(V_3,V_4),V_5)))
% <->
% composition(composition(A,composition(B,composition(C,V_3))),composition(V_4,V_5))
% Current number of equations to process: 423
% Current number of ordered equations: 5
% Current number of rules: 928
% New rule produced :
% [944]
% composition(composition(A,B),composition(composition(C,composition(V_3,V_4)),V_5))
% <->
% composition(A,composition(composition(B,composition(C,V_3)),composition(V_4,V_5)))
% Current number of equations to process: 423
% Current number of ordered equations: 4
% Current number of rules: 929
% New rule produced :
% [945]
% composition(composition(A,composition(composition(B,C),V_3)),composition(V_4,V_5))
% <->
% composition(composition(composition(A,B),composition(composition(C,V_3),V_4)),V_5)
% Current number of equations to process: 423
% Current number of ordered equations: 3
% Current number of rules: 930
% New rule produced :
% [946]
% composition(composition(composition(A,composition(B,C)),V_3),composition(V_4,V_5))
% <->
% composition(composition(A,B),composition(composition(composition(C,V_3),V_4),V_5))
% Current number of equations to process: 423
% Current number of ordered equations: 2
% Current number of rules: 931
% New rule produced :
% [947]
% composition(composition(A,composition(B,composition(C,V_3))),composition(V_4,V_5))
% <->
% composition(composition(A,B),composition(C,composition(composition(V_3,V_4),V_5)))
% Current number of equations to process: 423
% Current number of ordered equations: 1
% Current number of rules: 932
% New rule produced :
% [948]
% composition(composition(composition(A,B),composition(composition(C,V_3),V_4)),V_5)
% <->
% composition(composition(A,composition(composition(B,C),V_3)),composition(V_4,V_5))
% Current number of equations to process: 423
% Current number of ordered equations: 0
% Current number of rules: 933
% New rule produced :
% [949]
% composition(A,composition(composition(composition(B,composition(C,V_3)),V_4),V_5))
% <->
% composition(composition(composition(A,composition(B,C)),composition(V_3,V_4)),V_5)
% Current number of equations to process: 420
% Current number of ordered equations: 5
% Current number of rules: 934
% New rule produced :
% [950]
% composition(composition(A,composition(B,C)),composition(composition(V_3,V_4),V_5))
% <->
% composition(composition(A,B),composition(composition(composition(C,V_3),V_4),V_5))
% Current number of equations to process: 420
% Current number of ordered equations: 4
% Current number of rules: 935
% New rule produced :
% [951]
% composition(composition(A,B),composition(composition(composition(C,V_3),V_4),V_5))
% <->
% composition(composition(A,composition(B,C)),composition(composition(V_3,V_4),V_5))
% Current number of equations to process: 420
% Current number of ordered equations: 3
% Current number of rules: 936
% New rule produced :
% [952]
% composition(composition(composition(composition(A,B),C),V_3),composition(V_4,V_5))
% <->
% composition(composition(A,composition(composition(composition(B,C),V_3),V_4)),V_5)
% Current number of equations to process: 420
% Current number of ordered equations: 2
% Current number of rules: 937
% New rule produced :
% [953]
% composition(composition(A,composition(composition(composition(B,C),V_3),V_4)),V_5)
% <->
% composition(composition(composition(composition(A,B),C),V_3),composition(V_4,V_5))
% Current number of equations to process: 420
% Current number of ordered equations: 1
% Current number of rules: 938
% New rule produced :
% [954]
% composition(composition(composition(A,composition(B,C)),composition(V_3,V_4)),V_5)
% <->
% composition(A,composition(composition(composition(B,composition(C,V_3)),V_4),V_5))
% Current number of equations to process: 420
% Current number of ordered equations: 0
% Current number of rules: 939
% New rule produced :
% [955]
% composition(A,composition(B,composition(composition(C,composition(V_3,V_4)),V_5)))
% <->
% composition(composition(A,composition(B,composition(C,V_3))),composition(V_4,V_5))
% Current number of equations to process: 417
% Current number of ordered equations: 5
% Current number of rules: 940
% New rule produced :
% [956]
% composition(composition(A,composition(B,C)),composition(V_3,composition(V_4,V_5)))
% <->
% composition(composition(A,B),composition(composition(C,composition(V_3,V_4)),V_5))
% Current number of equations to process: 417
% Current number of ordered equations: 4
% Current number of rules: 941
% New rule produced :
% [957]
% composition(composition(A,B),composition(composition(C,composition(V_3,V_4)),V_5))
% <->
% composition(composition(A,composition(B,C)),composition(V_3,composition(V_4,V_5)))
% Current number of equations to process: 417
% Current number of ordered equations: 3
% Current number of rules: 942
% New rule produced :
% [958]
% composition(composition(composition(A,composition(B,C)),V_3),composition(V_4,V_5))
% <->
% composition(composition(A,composition(composition(B,composition(C,V_3)),V_4)),V_5)
% Current number of equations to process: 417
% Current number of ordered equations: 2
% Current number of rules: 943
% New rule produced :
% [959]
% composition(composition(A,composition(B,composition(C,V_3))),composition(V_4,V_5))
% <->
% composition(A,composition(B,composition(composition(C,composition(V_3,V_4)),V_5)))
% Current number of equations to process: 417
% Current number of ordered equations: 1
% Current number of rules: 944
% New rule produced :
% [960]
% composition(composition(A,composition(composition(B,composition(C,V_3)),V_4)),V_5)
% <->
% composition(composition(composition(A,composition(B,C)),V_3),composition(V_4,V_5))
% Current number of equations to process: 417
% Current number of ordered equations: 0
% Current number of rules: 945
% New rule produced :
% [961]
% composition(A,composition(B,composition(composition(C,composition(V_3,V_4)),V_5)))
% <->
% composition(composition(composition(A,B),composition(C,V_3)),composition(V_4,V_5))
% Current number of equations to process: 414
% Current number of ordered equations: 5
% Current number of rules: 946
% New rule produced :
% [962]
% composition(composition(A,composition(B,C)),composition(V_3,composition(V_4,V_5)))
% <->
% composition(composition(A,B),composition(composition(composition(C,V_3),V_4),V_5))
% Current number of equations to process: 414
% Current number of ordered equations: 4
% Current number of rules: 947
% New rule produced :
% [963]
% composition(composition(A,B),composition(composition(composition(C,V_3),V_4),V_5))
% <->
% composition(composition(A,composition(B,C)),composition(V_3,composition(V_4,V_5)))
% Current number of equations to process: 414
% Current number of ordered equations: 3
% Current number of rules: 948
% New rule produced :
% [964]
% composition(composition(composition(A,B),composition(C,V_3)),composition(V_4,V_5))
% <->
% composition(A,composition(B,composition(composition(C,composition(V_3,V_4)),V_5)))
% Current number of equations to process: 414
% Current number of ordered equations: 2
% Current number of rules: 949
% New rule produced :
% [965]
% composition(composition(composition(composition(A,B),C),V_3),composition(V_4,V_5))
% <->
% composition(composition(A,composition(composition(B,composition(C,V_3)),V_4)),V_5)
% Current number of equations to process: 414
% Current number of ordered equations: 1
% Current number of rules: 950
% New rule produced :
% [966]
% composition(composition(A,composition(composition(B,composition(C,V_3)),V_4)),V_5)
% <->
% composition(composition(composition(composition(A,B),C),V_3),composition(V_4,V_5))
% Current number of equations to process: 414
% Current number of ordered equations: 0
% Current number of rules: 951
% New rule produced :
% [967]
% composition(A,composition(composition(B,C),composition(composition(V_3,V_4),V_5)))
% <->
% composition(composition(A,composition(composition(B,composition(C,V_3)),V_4)),V_5)
% Current number of equations to process: 411
% Current number of ordered equations: 5
% Current number of rules: 952
% New rule produced :
% [968]
% composition(composition(A,B),composition(C,composition(V_3,composition(V_4,V_5))))
% <->
% composition(composition(A,composition(B,composition(C,composition(V_3,V_4)))),V_5)
% Current number of equations to process: 411
% Current number of ordered equations: 4
% Current number of rules: 953
% New rule produced :
% [969]
% composition(composition(A,composition(B,composition(C,V_3))),composition(V_4,V_5))
% <->
% composition(composition(composition(A,composition(B,C)),composition(V_3,V_4)),V_5)
% Current number of equations to process: 411
% Current number of ordered equations: 3
% Current number of rules: 954
% New rule produced :
% [970]
% composition(composition(composition(A,composition(B,C)),composition(V_3,V_4)),V_5)
% <->
% composition(composition(A,composition(B,composition(C,V_3))),composition(V_4,V_5))
% Current number of equations to process: 411
% Current number of ordered equations: 2
% Current number of rules: 955
% New rule produced :
% [971]
% composition(composition(A,composition(composition(B,composition(C,V_3)),V_4)),V_5)
% <->
% composition(A,composition(composition(B,C),composition(composition(V_3,V_4),V_5)))
% Current number of equations to process: 411
% Current number of ordered equations: 1
% Current number of rules: 956
% New rule produced :
% [972]
% composition(composition(A,composition(B,composition(C,composition(V_3,V_4)))),V_5)
% <->
% composition(composition(A,B),composition(C,composition(V_3,composition(V_4,V_5))))
% Current number of equations to process: 411
% Current number of ordered equations: 0
% Current number of rules: 957
% New rule produced :
% [973]
% composition(composition(A,B),composition(composition(composition(C,V_3),V_4),V_5))
% <->
% composition(composition(composition(composition(A,composition(B,C)),V_3),V_4),V_5)
% Current number of equations to process: 408
% Current number of ordered equations: 5
% Current number of rules: 958
% New rule produced :
% [974]
% composition(composition(A,B),composition(C,composition(composition(V_3,V_4),V_5)))
% <->
% composition(composition(A,composition(B,composition(composition(C,V_3),V_4))),V_5)
% Current number of equations to process: 408
% Current number of ordered equations: 4
% Current number of rules: 959
% New rule produced :
% [975]
% composition(composition(A,composition(composition(B,C),V_3)),composition(V_4,V_5))
% <->
% composition(composition(composition(composition(A,B),C),composition(V_3,V_4)),V_5)
% Current number of equations to process: 408
% Current number of ordered equations: 3
% Current number of rules: 960
% New rule produced :
% [976]
% composition(composition(composition(composition(A,composition(B,C)),V_3),V_4),V_5)
% <->
% composition(composition(A,B),composition(composition(composition(C,V_3),V_4),V_5))
% Current number of equations to process: 408
% Current number of ordered equations: 2
% Current number of rules: 961
% New rule produced :
% [977]
% composition(composition(A,composition(B,composition(composition(C,V_3),V_4))),V_5)
% <->
% composition(composition(A,B),composition(C,composition(composition(V_3,V_4),V_5)))
% Current number of equations to process: 408
% Current number of ordered equations: 1
% Current number of rules: 962
% New rule produced :
% [978]
% composition(composition(composition(composition(A,B),C),composition(V_3,V_4)),V_5)
% <->
% composition(composition(A,composition(composition(B,C),V_3)),composition(V_4,V_5))
% Current number of equations to process: 408
% Current number of ordered equations: 0
% Current number of rules: 963
% New rule produced :
% [979]
% composition(composition(A,B),composition(composition(C,V_3),composition(V_4,V_5)))
% <->
% composition(composition(composition(composition(A,composition(B,C)),V_3),V_4),V_5)
% Current number of equations to process: 405
% Current number of ordered equations: 5
% Current number of rules: 964
% New rule produced :
% [980]
% composition(composition(A,B),composition(C,composition(V_3,composition(V_4,V_5))))
% <->
% composition(composition(A,composition(B,composition(composition(C,V_3),V_4))),V_5)
% Current number of equations to process: 405
% Current number of ordered equations: 4
% Current number of rules: 965
% New rule produced :
% [981]
% composition(composition(A,composition(B,composition(C,V_3))),composition(V_4,V_5))
% <->
% composition(composition(composition(composition(A,B),C),composition(V_3,V_4)),V_5)
% Current number of equations to process: 405
% Current number of ordered equations: 3
% Current number of rules: 966
% New rule produced :
% [982]
% composition(composition(composition(composition(A,composition(B,C)),V_3),V_4),V_5)
% <->
% composition(composition(A,B),composition(composition(C,V_3),composition(V_4,V_5)))
% Current number of equations to process: 405
% Current number of ordered equations: 2
% Current number of rules: 967
% New rule produced :
% [983]
% composition(composition(A,composition(B,composition(composition(C,V_3),V_4))),V_5)
% <->
% composition(composition(A,B),composition(C,composition(V_3,composition(V_4,V_5))))
% Current number of equations to process: 405
% Current number of ordered equations: 1
% Current number of rules: 968
% New rule produced :
% [984]
% composition(composition(composition(composition(A,B),C),composition(V_3,V_4)),V_5)
% <->
% composition(composition(A,composition(B,composition(C,V_3))),composition(V_4,V_5))
% Current number of equations to process: 405
% Current number of ordered equations: 0
% Current number of rules: 969
% New rule produced :
% [985]
% composition(composition(A,composition(B,C)),composition(composition(V_3,V_4),V_5))
% <->
% composition(composition(A,composition(composition(B,composition(C,V_3)),V_4)),V_5)
% Current number of equations to process: 402
% Current number of ordered equations: 5
% Current number of rules: 970
% New rule produced :
% [986]
% composition(composition(A,B),composition(composition(C,V_3),composition(V_4,V_5)))
% <->
% composition(composition(A,composition(B,composition(C,composition(V_3,V_4)))),V_5)
% Current number of equations to process: 402
% Current number of ordered equations: 4
% Current number of rules: 971
% New rule produced :
% [987]
% composition(composition(composition(A,B),composition(C,V_3)),composition(V_4,V_5))
% <->
% composition(composition(composition(A,composition(B,C)),composition(V_3,V_4)),V_5)
% Current number of equations to process: 402
% Current number of ordered equations: 3
% Current number of rules: 972
% New rule produced :
% [988]
% composition(composition(composition(A,composition(B,C)),composition(V_3,V_4)),V_5)
% <->
% composition(composition(composition(A,B),composition(C,V_3)),composition(V_4,V_5))
% Current number of equations to process: 402
% Current number of ordered equations: 2
% Current number of rules: 973
% New rule produced :
% [989]
% composition(composition(A,composition(composition(B,composition(C,V_3)),V_4)),V_5)
% <->
% composition(composition(A,composition(B,C)),composition(composition(V_3,V_4),V_5))
% Current number of equations to process: 402
% Current number of ordered equations: 1
% Current number of rules: 974
% New rule produced :
% [990]
% composition(composition(A,composition(B,composition(C,composition(V_3,V_4)))),V_5)
% <->
% composition(composition(A,B),composition(composition(C,V_3),composition(V_4,V_5)))
% Current number of equations to process: 402
% Current number of ordered equations: 0
% Current number of rules: 975
% New rule produced :
% [991]
% composition(composition(A,B),composition(composition(C,composition(V_3,V_4)),V_5))
% <->
% composition(composition(A,composition(B,composition(C,V_3))),composition(V_4,V_5))
% Current number of equations to process: 400
% Current number of ordered equations: 3
% Current number of rules: 976
% New rule produced :
% [992]
% composition(composition(composition(A,composition(B,C)),V_3),composition(V_4,V_5))
% <->
% composition(composition(composition(A,B),composition(composition(C,V_3),V_4)),V_5)
% Current number of equations to process: 400
% Current number of ordered equations: 2
% Current number of rules: 977
% New rule produced :
% [993]
% composition(composition(A,composition(B,composition(C,V_3))),composition(V_4,V_5))
% <->
% composition(composition(A,B),composition(composition(C,composition(V_3,V_4)),V_5))
% Current number of equations to process: 400
% Current number of ordered equations: 1
% Current number of rules: 978
% New rule produced :
% [994]
% composition(composition(composition(A,B),composition(composition(C,V_3),V_4)),V_5)
% <->
% composition(composition(composition(A,composition(B,C)),V_3),composition(V_4,V_5))
% Current number of equations to process: 400
% Current number of ordered equations: 0
% Current number of rules: 979
% New rule produced :
% [995]
% composition(complement(converse(A)),complement(A)) join complement(one) ->
% composition(top,complement(A)) join complement(one)
% Current number of equations to process: 405
% Current number of ordered equations: 0
% Current number of rules: 980
% New rule produced :
% [996]
% composition(composition(A,converse(B)),complement(composition(B,converse(A)))) join
% complement(one) -> complement(one)
% Current number of equations to process: 404
% Current number of ordered equations: 0
% Current number of rules: 981
% New rule produced :
% [997]
% composition(composition(converse(A),B),complement(composition(converse(B),A))) join
% complement(one) -> complement(one)
% Current number of equations to process: 403
% Current number of ordered equations: 0
% Current number of rules: 982
% New rule produced : [998] converse(top) join converse(A) -> converse(top)
% Rule [95] converse(zero) join converse(top) -> converse(top) collapsed.
% Current number of equations to process: 404
% Current number of ordered equations: 0
% Current number of rules: 982
% New rule produced :
% [999] composition(top,A) join composition(B,A) -> composition(top,A)
% Rule [149] composition(zero,A) join composition(top,A) -> composition(top,A)
% collapsed.
% Current number of equations to process: 405
% Current number of ordered equations: 0
% Current number of rules: 982
% New rule produced : [1000] complement(zero) -> top
% Current number of equations to process: 406
% Current number of ordered equations: 0
% Current number of rules: 983
% New rule produced :
% [1001]
% composition(converse(A),complement(composition(A,complement(B)))) join B -> B
% Current number of equations to process: 407
% Current number of ordered equations: 0
% Current number of rules: 984
% New rule produced :
% [1002]
% complement(complement(A) join B) join complement(A join B) -> complement(B)
% Rule
% [13]
% complement(complement(A) join complement(B)) join complement(complement(A) join B)
% -> A collapsed.
% Current number of equations to process: 408
% Current number of ordered equations: 0
% Current number of rules: 984
% New rule produced :
% [1003]
% converse(composition(converse(A),complement(A))) join complement(one) ->
% complement(one)
% Current number of equations to process: 424
% Current number of ordered equations: 0
% Current number of rules: 985
% Rule [118]
% converse(composition(converse(A),B)) join converse(composition(converse(C),B))
% <-> composition(converse(B),A join C) is composed into [118]
% converse(
% composition(
% converse(A),B)) join
% converse(
% composition(
% converse(C),B))
% <->
% composition(
% converse(B),A) join
% composition(
% converse(B),C)
% Rule [105]
% converse(composition(A,converse(B))) join converse(composition(C,
% converse(B))) <->
% composition(B,converse(A) join converse(C)) is composed into [105]
% converse(
% composition(A,
% converse(B))) join
% converse(
% composition(C,
% converse(B)))
% <->
% composition(B,
% converse(A)) join
% composition(B,
% converse(C))
% New rule produced :
% [1004] composition(A,B join C) -> composition(A,B) join composition(A,C)
% Rule
% [52]
% converse(composition(C,A join B)) ->
% converse(composition(C,A)) join converse(composition(C,B)) collapsed.
% Rule
% [53]
% composition(converse(A),converse(B) join converse(C)) ->
% converse(composition(B,A)) join converse(composition(C,A)) collapsed.
% Rule
% [59]
% composition(A,composition(B,C) join composition(V_3,C)) <->
% composition(composition(A,B join V_3),C) collapsed.
% Rule
% [60]
% composition(composition(A,B join V_3),C) <->
% composition(A,composition(B,C) join composition(V_3,C)) collapsed.
% Rule
% [61]
% composition(converse(B),complement(composition(B,complement(A) join C))) join A
% -> A collapsed.
% Rule
% [104]
% composition(B,converse(A) join converse(C)) <->
% converse(composition(A,converse(B))) join converse(composition(C,converse(B)))
% collapsed.
% Rule
% [117]
% composition(converse(B),A join C) <->
% converse(composition(converse(A),B)) join converse(composition(converse(C),B))
% collapsed.
% Rule
% [177]
% composition(A,converse(composition(B,C)) join converse(composition(V_3,C)))
% <-> composition(composition(A,converse(C)),converse(B) join converse(V_3))
% collapsed.
% Rule
% [178]
% composition(composition(A,converse(C)),converse(B) join converse(V_3)) <->
% composition(A,converse(composition(B,C)) join converse(composition(V_3,C)))
% collapsed.
% Rule
% [193]
% composition(A,converse(composition(V_3,B)) join converse(composition(V_3,C)))
% <-> composition(composition(A,converse(B) join converse(C)),converse(V_3))
% collapsed.
% Rule
% [194]
% composition(composition(A,converse(B) join converse(C)),converse(V_3)) <->
% composition(A,converse(composition(V_3,B)) join converse(composition(V_3,C)))
% collapsed.
% Rule
% [281]
% composition(A,composition(composition(B,C),V_3) join composition(composition(V_4,C),V_3))
% <-> composition(composition(A,B join V_4),composition(C,V_3)) collapsed.
% Rule
% [282]
% composition(composition(A,B join V_4),composition(C,V_3)) <->
% composition(A,composition(composition(B,C),V_3) join composition(composition(V_4,C),V_3))
% collapsed.
% Rule
% [303]
% composition(A,composition(composition(B,C join V_4),V_3)) <->
% composition(composition(A,B),composition(C,V_3) join composition(V_4,V_3))
% collapsed.
% Rule
% [304]
% composition(composition(A,B),composition(C,V_3) join composition(V_4,V_3))
% <-> composition(A,composition(composition(B,C join V_4),V_3)) collapsed.
% Rule
% [377]
% composition(A,composition(composition(B,C),V_3) join composition(composition(V_4,C),V_3))
% <-> composition(composition(composition(A,B join V_4),C),V_3) collapsed.
% Rule
% [378]
% composition(composition(composition(A,B join V_4),C),V_3) <->
% composition(A,composition(composition(B,C),V_3) join composition(composition(V_4,C),V_3))
% collapsed.
% Rule
% [397]
% composition(A,composition(B,composition(C,V_3) join composition(V_4,V_3)))
% <-> composition(composition(A,composition(B,C join V_4)),V_3) collapsed.
% Rule
% [398]
% composition(composition(A,composition(B,C join V_4)),V_3) <->
% composition(A,composition(B,composition(C,V_3) join composition(V_4,V_3)))
% collapsed.
% Rule
% [461]
% composition(A,composition(B,composition(C,V_3) join composition(V_4,V_3)))
% <-> composition(composition(composition(A,B),C join V_4),V_3) collapsed.
% Rule
% [462]
% composition(composition(composition(A,B),C join V_4),V_3) <->
% composition(A,composition(B,composition(C,V_3) join composition(V_4,V_3)))
% collapsed.
% Rule
% [501]
% composition(A,composition(B,composition(C,V_3)) join composition(V_4,
% composition(C,V_3))) <->
% composition(composition(composition(A,B join V_4),C),V_3) collapsed.
% Rule
% [502]
% composition(composition(composition(A,B join V_4),C),V_3) <->
% composition(A,composition(B,composition(C,V_3)) join composition(V_4,
% composition(C,V_3)))
% collapsed.
% Rule
% [735]
% composition(composition(A,B join V_3),composition(C,V_4)) <->
% composition(composition(A,composition(B,C) join composition(V_3,C)),V_4)
% collapsed.
% Rule
% [736]
% composition(composition(A,composition(B,C) join composition(V_3,C)),V_4) <->
% composition(composition(A,B join V_3),composition(C,V_4)) collapsed.
% Rule
% [822]
% composition(composition(A,B),composition(C,V_3) join composition(V_4,V_3))
% <-> composition(composition(A,composition(B,C join V_4)),V_3) collapsed.
% Rule
% [823]
% composition(composition(A,composition(B,C join V_4)),V_3) <->
% composition(composition(A,B),composition(C,V_3) join composition(V_4,V_3))
% collapsed.
% Current number of equations to process: 443
% Current number of ordered equations: 0
% Current number of rules: 959
% New rule produced :
% [1005] composition(A,complement(composition(converse(A),top))) -> zero
% Current number of equations to process: 459
% Current number of ordered equations: 0
% Current number of rules: 960
% New rule produced :
% [1006]
% complement(composition(A,complement(composition(converse(A),B)))) join
% complement(B) -> top
% Current number of equations to process: 460
% Current number of ordered equations: 0
% Current number of rules: 961
% New rule produced :
% [1007]
% converse(composition(A,top)) join converse(composition(A,complement(B))) ->
% converse(composition(A,top))
% Current number of equations to process: 459
% Current number of ordered equations: 0
% Current number of rules: 962
% New rule produced :
% [1008]
% converse(composition(A,complement(B))) join converse(composition(A,B)) ->
% converse(composition(A,top))
% Current number of equations to process: 458
% Current number of ordered equations: 0
% Current number of rules: 963
% New rule produced :
% [1009]
% composition(A,complement(converse(composition(B,A)))) join complement(
% converse(B)) ->
% complement(converse(B))
% Rule
% [127]
% composition(converse(A),complement(converse(composition(B,converse(A))))) join
% complement(converse(B)) -> complement(converse(B)) collapsed.
% Current number of equations to process: 457
% Current number of ordered equations: 0
% Current number of rules: 963
% New rule produced :
% [1010]
% converse(composition(B,complement(composition(converse(B),A)))) join
% converse(complement(A)) -> converse(complement(A))
% Current number of equations to process: 454
% Current number of ordered equations: 0
% Current number of rules: 964
% New rule produced :
% [1011]
% composition(converse(B),complement(composition(B,complement(A)) join
% composition(B,C))) join A -> A
% Current number of equations to process: 453
% Current number of ordered equations: 0
% Current number of rules: 965
% New rule produced :
% [1012]
% composition(A,composition(B,C)) join composition(A,composition(V_3,C)) <->
% composition(composition(A,B),C) join composition(composition(A,V_3),C)
% Current number of equations to process: 452
% Current number of ordered equations: 1
% Current number of rules: 966
% New rule produced :
% [1013]
% composition(composition(A,B),C) join composition(composition(A,V_3),C) <->
% composition(A,composition(B,C)) join composition(A,composition(V_3,C))
% Current number of equations to process: 452
% Current number of ordered equations: 0
% Current number of rules: 967
% New rule produced :
% [1014]
% complement(composition(A,complement(composition(converse(A),B))) join C) join
% complement(B) join C -> top
% Current number of equations to process: 449
% Current number of ordered equations: 0
% Current number of rules: 968
% New rule produced :
% [1015]
% composition(composition(A,B),complement(composition(converse(B),composition(
% converse(A),C)))) join
% complement(C) -> complement(C)
% Current number of equations to process: 447
% Current number of ordered equations: 0
% Current number of rules: 969
% New rule produced :
% [1016]
% composition(A,complement(composition(composition(converse(A),B),C))) join
% complement(composition(B,C)) -> complement(composition(B,C))
% Current number of equations to process: 446
% Current number of ordered equations: 0
% Current number of rules: 970
% New rule produced :
% [1017]
% composition(composition(C,complement(composition(converse(C),A))),B) join
% composition(complement(A),B) -> composition(complement(A),B)
% Current number of equations to process: 445
% Current number of ordered equations: 0
% Current number of rules: 971
% New rule produced :
% [1018]
% converse(composition(A,top)) join converse(composition(A,C)) ->
% converse(composition(A,top))
% Rule
% [1007]
% converse(composition(A,top)) join converse(composition(A,complement(B))) ->
% converse(composition(A,top)) collapsed.
% Current number of equations to process: 444
% Current number of ordered equations: 0
% Current number of rules: 971
% New rule produced :
% [1019]
% converse(composition(composition(A,B),C)) join converse(composition(composition(A,B),V_3))
% <->
% converse(composition(A,composition(B,C))) join converse(composition(A,
% composition(B,V_3)))
% Current number of equations to process: 440
% Current number of ordered equations: 1
% Current number of rules: 972
% New rule produced :
% [1020]
% converse(composition(A,composition(B,C))) join converse(composition(A,
% composition(B,V_3)))
% <->
% converse(composition(composition(A,B),C)) join converse(composition(composition(A,B),V_3))
% Current number of equations to process: 440
% Current number of ordered equations: 0
% Current number of rules: 973
% New rule produced :
% [1021]
% composition(converse(composition(A,B)),C) join composition(complement(
% converse(B)),
% composition(converse(A),C)) ->
% composition(top,composition(converse(A),C))
% Current number of equations to process: 437
% Current number of ordered equations: 0
% Current number of rules: 974
% New rule produced :
% [1022]
% composition(A,complement(composition(converse(A),complement(B)))) join B -> B
% Current number of equations to process: 457
% Current number of ordered equations: 0
% Current number of rules: 975
% New rule produced :
% [1023] converse(top) join complement(converse(A) join converse(B)) -> top
% Current number of equations to process: 464
% Current number of ordered equations: 0
% Current number of rules: 976
% New rule produced :
% [1024]
% composition(A,complement(converse(composition(converse(B),A)))) join
% complement(B) -> complement(B)
% Current number of equations to process: 469
% Current number of ordered equations: 0
% Current number of rules: 977
% New rule produced :
% [1025]
% converse(complement(converse(A) join B)) join converse(B) join A ->
% converse(top)
% Current number of equations to process: 468
% Current number of ordered equations: 0
% Current number of rules: 978
% New rule produced :
% [1026]
% converse(top) join complement(converse(A) join converse(B) join C) join C ->
% top
% Current number of equations to process: 465
% Current number of ordered equations: 0
% Current number of rules: 979
% New rule produced :
% [1027]
% composition(A,complement(composition(converse(A),B))) join complement(
% composition(one,B))
% -> complement(composition(one,B))
% Current number of equations to process: 464
% Current number of ordered equations: 0
% Current number of rules: 980
% New rule produced :
% [1028]
% composition(complement(A),complement(composition(converse(A),B))) join
% complement(B) ->
% composition(top,complement(composition(converse(A),B))) join complement(B)
% Current number of equations to process: 459
% Current number of ordered equations: 0
% Current number of rules: 981
% New rule produced :
% [1029]
% composition(A,complement(composition(converse(complement(A)),B))) join
% complement(B) <->
% composition(top,complement(composition(converse(complement(A)),B))) join
% complement(B)
% Current number of equations to process: 458
% Current number of ordered equations: 1
% Current number of rules: 982
% New rule produced :
% [1030]
% composition(top,complement(composition(converse(complement(A)),B))) join
% complement(B) <->
% composition(A,complement(composition(converse(complement(A)),B))) join
% complement(B)
% Current number of equations to process: 458
% Current number of ordered equations: 0
% Current number of rules: 983
% New rule produced :
% [1031]
% converse(complement(A join B join C)) join converse(A) join converse(B) join
% converse(C) -> converse(top)
% Current number of equations to process: 455
% Current number of ordered equations: 0
% Current number of rules: 984
% New rule produced :
% [1032]
% composition(A,complement(composition(converse(composition(B,A)),C))) join
% complement(composition(converse(B),C)) ->
% complement(composition(converse(B),C))
% Current number of equations to process: 454
% Current number of ordered equations: 0
% Current number of rules: 985
% New rule produced :
% [1033]
% composition(converse(composition(A,converse(B))),complement(composition(A,
% converse(
% composition(C,B))))) join
% complement(converse(C)) -> complement(converse(C))
% Current number of equations to process: 452
% Current number of ordered equations: 0
% Current number of rules: 986
% New rule produced :
% [1034]
% composition(complement(composition(A,B)),composition(C,V_3)) join composition(A,
% composition(
% composition(B,C),V_3))
% -> composition(top,composition(C,V_3))
% Current number of equations to process: 451
% Current number of ordered equations: 0
% Current number of rules: 987
% New rule produced :
% [1035]
% composition(composition(A,composition(B,C)),V_3) join composition(composition(A,
% composition(V_4,C)),V_3)
% <->
% composition(A,composition(B,composition(C,V_3))) join composition(A,composition(V_4,
% composition(C,V_3)))
% Current number of equations to process: 450
% Current number of ordered equations: 1
% Current number of rules: 988
% New rule produced :
% [1036]
% composition(A,composition(B,composition(C,V_3))) join composition(A,composition(V_4,
% composition(C,V_3)))
% <->
% composition(composition(A,composition(B,C)),V_3) join composition(composition(A,
% composition(V_4,C)),V_3)
% Current number of equations to process: 450
% Current number of ordered equations: 0
% Current number of rules: 989
% New rule produced :
% [1037]
% composition(composition(A,composition(B,C)),V_4) join composition(composition(A,
% composition(V_3,C)),V_4)
% <->
% composition(composition(A,B),composition(C,V_4)) join composition(composition(A,V_3),
% composition(C,V_4))
% Current number of equations to process: 448
% Current number of ordered equations: 1
% Current number of rules: 990
% New rule produced :
% [1038]
% composition(composition(A,B),composition(C,V_4)) join composition(composition(A,V_3),
% composition(C,V_4)) <->
% composition(composition(A,composition(B,C)),V_4) join composition(composition(A,
% composition(V_3,C)),V_4)
% Current number of equations to process: 448
% Current number of ordered equations: 0
% Current number of rules: 991
% New rule produced :
% [1039]
% composition(composition(A,composition(B,C)),V_3) join composition(complement(
% composition(A,B)),
% composition(C,V_3)) ->
% composition(top,composition(C,V_3))
% Current number of equations to process: 447
% Current number of ordered equations: 0
% Current number of rules: 992
% New rule produced :
% [1040]
% complement(complement(composition(converse(A),complement(A)) join B) join
% complement(one)) join complement(complement(one) join B) -> one
% Current number of equations to process: 446
% Current number of ordered equations: 0
% Current number of rules: 993
% Rule [1031]
% converse(complement(A join B join C)) join converse(A) join converse(B) join
% converse(C) -> converse(top) is composed into [1031]
% converse(complement(
% A join B join C)) join
% converse(A) join converse(B) join
% converse(C) -> top
% Rule [1025]
% converse(complement(converse(A) join B)) join converse(B) join A ->
% converse(top) is composed into [1025]
% converse(complement(converse(A) join B)) join
% converse(B) join A -> top
% Rule [126]
% converse(complement(composition(converse(A),B))) join composition(
% converse(B),A) ->
% converse(top) is composed into [126]
% converse(complement(composition(converse(A),B))) join
% composition(converse(B),A) -> top
% Rule [116]
% converse(complement(composition(A,converse(B)))) join composition(B,
% converse(A)) ->
% converse(top) is composed into [116]
% converse(complement(composition(A,
% converse(B)))) join
% composition(B,converse(A)) -> top
% Rule [97]
% composition(converse(complement(B)),A) join composition(converse(B),A)
% -> composition(converse(top),A) is composed into [97]
% composition(converse(
% complement(B)),A) join
% composition(converse(B),A)
% -> composition(top,A)
% Rule [94] converse(complement(converse(A))) join A -> converse(top) is composed into
% [94] converse(complement(converse(A))) join A -> top
% Rule [55]
% converse(complement(A join B)) join converse(A) join converse(B) ->
% converse(top) is composed into [55]
% converse(complement(A join B)) join
% converse(A) join converse(B) -> top
% Rule [18] converse(complement(A)) join converse(A) -> converse(top) is composed into
% [18] converse(complement(A)) join converse(A) -> top
% New rule produced : [1041] converse(top) -> top
% Rule [93] converse(top) join complement(converse(A)) -> top collapsed.
% Rule [96] converse(top) join complement(converse(A) join B) join B -> top
% collapsed.
% Rule [998] converse(top) join converse(A) -> converse(top) collapsed.
% Rule
% [1023] converse(top) join complement(converse(A) join converse(B)) -> top
% collapsed.
% Rule
% [1026]
% converse(top) join complement(converse(A) join converse(B) join C) join C ->
% top collapsed.
% Current number of equations to process: 450
% Current number of ordered equations: 0
% Current number of rules: 989
% New rule produced :
% [1042]
% complement(complement(A join B) join C) join complement(A) join C -> top
% Current number of equations to process: 486
% Current number of ordered equations: 0
% Current number of rules: 990
% New rule produced :
% [1043]
% converse(complement(complement(A) join B)) join converse(B) <->
% converse(complement(complement(B) join A)) join converse(A)
% Current number of equations to process: 485
% Current number of ordered equations: 0
% Current number of rules: 991
% New rule produced :
% [1044]
% complement(complement(A) join B) join complement(A join C) join B join C ->
% top
% Current number of equations to process: 482
% Current number of ordered equations: 1
% Current number of rules: 992
% New rule produced :
% [1045]
% complement(complement(complement(A join B) join B) join C) join A join C ->
% top
% Current number of equations to process: 482
% Current number of ordered equations: 0
% Current number of rules: 993
% New rule produced :
% [1046]
% complement(complement(complement(A join B) join B join C) join V_3) join A join V_3
% -> top
% Current number of equations to process: 525
% Current number of ordered equations: 2
% Current number of rules: 994
% New rule produced :
% [1047]
% complement(complement(complement(A) join B) join B) join complement(complement(B) join A) join A
% -> top
% Current number of equations to process: 525
% Current number of ordered equations: 1
% Current number of rules: 995
% New rule produced :
% [1048]
% complement(complement(A join B) join C) join complement(B join V_3) join C join V_3
% -> top
% Current number of equations to process: 525
% Current number of ordered equations: 0
% Current number of rules: 996
% New rule produced :
% [1049]
% composition(complement(complement(B) join A),C) join composition(A,C) <->
% composition(complement(complement(A) join B),C) join composition(B,C)
% Current number of equations to process: 524
% Current number of ordered equations: 0
% Current number of rules: 997
% New rule produced :
% [1050]
% converse(complement(composition(A,converse(B)) join C)) join converse(C) join
% composition(B,converse(A)) -> top
% Current number of equations to process: 523
% Current number of ordered equations: 0
% Current number of rules: 998
% New rule produced :
% [1051]
% converse(complement(composition(converse(A),B) join C)) join converse(C) join
% composition(converse(B),A) -> top
% Current number of equations to process: 522
% Current number of ordered equations: 0
% Current number of rules: 999
% New rule produced :
% [1052]
% complement(complement(A) join complement(B)) join complement(A) ->
% complement(A join B) join B
% Rule
% [82]
% complement(complement(complement(A) join complement(B)) join complement(A) join B) join
% complement(A) -> complement(A) join complement(B) collapsed.
% Current number of equations to process: 640
% Current number of ordered equations: 0
% Current number of rules: 999
% New rule produced :
% [1053]
% complement(complement(complement(A) join B) join B) join A ->
% complement(B) join A
% Rule
% [1047]
% complement(complement(complement(A) join B) join B) join complement(complement(B) join A) join A
% -> top collapsed.
% Current number of equations to process: 639
% Current number of ordered equations: 0
% Current number of rules: 999
% New rule produced :
% [1054]
% converse(A) join complement(complement(converse(complement(A))) join B) join B
% -> top
% Current number of equations to process: 637
% Current number of ordered equations: 1
% Current number of rules: 1000
% New rule produced :
% [1055]
% converse(complement(A)) join complement(complement(converse(A)) join B) join B
% -> top
% Current number of equations to process: 637
% Current number of ordered equations: 0
% Current number of rules: 1001
% New rule produced :
% [1056]
% converse(complement(composition(converse(A),complement(composition(A,B))))) join
% converse(complement(B)) -> top
% Current number of equations to process: 636
% Current number of ordered equations: 0
% Current number of rules: 1002
% New rule produced :
% [1057]
% complement(complement(A join B) join B join B) join complement(A) ->
% complement(A) join complement(B)
% Current number of equations to process: 635
% Current number of ordered equations: 0
% Current number of rules: 1003
% New rule produced :
% [1058]
% converse(A) join complement(complement(converse(complement(A)) join B) join C) join C
% -> top
% Current number of equations to process: 631
% Current number of ordered equations: 1
% Current number of rules: 1004
% New rule produced :
% [1059]
% converse(complement(A)) join complement(complement(converse(A) join B) join C) join C
% -> top
% Current number of equations to process: 631
% Current number of ordered equations: 0
% Current number of rules: 1005
% New rule produced :
% [1060]
% complement(complement(A join B) join B) join complement(complement(A) join
% complement(B)) -> A
% Current number of equations to process: 630
% Current number of ordered equations: 0
% Current number of rules: 1006
% New rule produced :
% [1061]
% complement(composition(converse(A),complement(composition(composition(A,B),C)))) join
% complement(composition(B,C)) -> top
% Current number of equations to process: 627
% Current number of ordered equations: 0
% Current number of rules: 1007
% New rule produced :
% [1062]
% complement(composition(converse(composition(A,B)),complement(composition(A,
% composition(B,C))))) join
% complement(C) -> top
% Current number of equations to process: 626
% Current number of ordered equations: 0
% Current number of rules: 1008
% New rule produced :
% [1063]
% composition(converse(B),complement(B)) join complement(one join A) join A ->
% complement(one join A) join A
% Current number of equations to process: 623
% Current number of ordered equations: 0
% Current number of rules: 1009
% New rule produced :
% [1064]
% complement(composition(composition(A,B),complement(composition(converse(B),
% composition(converse(A),C))))) join
% complement(C) -> top
% Current number of equations to process: 622
% Current number of ordered equations: 0
% Current number of rules: 1010
% New rule produced :
% [1065]
% composition(complement(composition(converse(B),complement(composition(B,C)))),A) join
% composition(complement(C),A) -> composition(top,A)
% Current number of equations to process: 620
% Current number of ordered equations: 0
% Current number of rules: 1011
% New rule produced :
% [1066]
% converse(A) join complement(complement(converse(complement(A join B)) join
% converse(B)) join C) join C -> top
% Current number of equations to process: 618
% Current number of ordered equations: 3
% Current number of rules: 1012
% New rule produced :
% [1067]
% converse(A) join converse(B) join complement(complement(converse(complement(
% A join B))) join C) join C
% -> top
% Current number of equations to process: 618
% Current number of ordered equations: 2
% Current number of rules: 1013
% New rule produced :
% [1068]
% converse(complement(A join B)) join complement(complement(converse(A) join
% converse(B)) join C) join C
% -> top
% Current number of equations to process: 618
% Current number of ordered equations: 1
% Current number of rules: 1014
% New rule produced :
% [1069]
% converse(complement(A join B)) join converse(B) join complement(complement(
% converse(A)) join C) join C
% -> top
% Current number of equations to process: 618
% Current number of ordered equations: 0
% Current number of rules: 1015
% New rule produced :
% [1070]
% composition(converse(C),complement(composition(C,B))) join complement(
% A join B) join A
% -> complement(A join B) join A
% Current number of equations to process: 610
% Current number of ordered equations: 0
% Current number of rules: 1016
% New rule produced :
% [1071]
% composition(C,complement(composition(converse(C),B))) join complement(
% A join B) join A
% -> complement(A join B) join A
% Current number of equations to process: 609
% Current number of ordered equations: 0
% Current number of rules: 1017
% New rule produced :
% [1072]
% composition(composition(A,converse(B)),converse(V_3)) join composition(
% composition(A,
% converse(C)),
% converse(V_3)) <->
% composition(A,converse(composition(V_3,B))) join composition(A,converse(
% composition(V_3,C)))
% Current number of equations to process: 605
% Current number of ordered equations: 1
% Current number of rules: 1018
% New rule produced :
% [1073]
% composition(A,converse(composition(V_3,B))) join composition(A,converse(
% composition(V_3,C)))
% <->
% composition(composition(A,converse(B)),converse(V_3)) join composition(
% composition(A,
% converse(C)),
% converse(V_3))
% Current number of equations to process: 605
% Current number of ordered equations: 0
% Current number of rules: 1019
% New rule produced :
% [1074]
% composition(converse(A),composition(converse(B),C)) join composition(
% converse(A),
% composition(
% converse(V_3),C))
% <->
% composition(converse(composition(B,A)),C) join composition(converse(composition(V_3,A)),C)
% Current number of equations to process: 604
% Current number of ordered equations: 1
% Current number of rules: 1020
% New rule produced :
% [1075]
% composition(converse(composition(B,A)),C) join composition(converse(composition(V_3,A)),C)
% <->
% composition(converse(A),composition(converse(B),C)) join composition(
% converse(A),
% composition(
% converse(V_3),C))
% Current number of equations to process: 604
% Current number of ordered equations: 0
% Current number of rules: 1021
% New rule produced :
% [1076]
% composition(converse(composition(A,composition(B,C))),complement(composition(A,
% composition(B,
% composition(C,V_3))))) join
% complement(V_3) -> complement(V_3)
% Current number of equations to process: 602
% Current number of ordered equations: 0
% Current number of rules: 1022
% New rule produced :
% [1077]
% composition(converse(composition(composition(A,B),C)),complement(composition(A,
% composition(
% composition(B,C),V_3)))) join
% complement(V_3) -> complement(V_3)
% Current number of equations to process: 601
% Current number of ordered equations: 0
% Current number of rules: 1023
% New rule produced :
% [1078]
% composition(converse(composition(composition(A,B),C)),complement(composition(A,
% composition(B,
% composition(C,V_3))))) join
% complement(V_3) -> complement(V_3)
% Current number of equations to process: 600
% Current number of ordered equations: 0
% Current number of rules: 1024
% New rule produced :
% [1079]
% composition(converse(composition(A,composition(B,C))),complement(composition(
% composition(A,B),
% composition(C,V_3)))) join
% complement(V_3) -> complement(V_3)
% Current number of equations to process: 599
% Current number of ordered equations: 0
% Current number of rules: 1025
% New rule produced :
% [1080]
% composition(converse(A),complement(A join B)) join composition(converse(B),
% complement(A join B)) join
% complement(one) -> complement(one)
% Current number of equations to process: 598
% Current number of ordered equations: 0
% Current number of rules: 1026
% New rule produced :
% [1081]
% converse(composition(A,complement(B join C))) join converse(composition(A,B)) join
% converse(composition(A,C)) -> converse(composition(A,top))
% Current number of equations to process: 596
% Current number of ordered equations: 0
% Current number of rules: 1027
% New rule produced :
% [1082]
% composition(composition(A,composition(B,C)),complement(composition(converse(
% composition(
% composition(A,B),C)),V_3))) join
% complement(V_3) -> complement(V_3)
% Current number of equations to process: 592
% Current number of ordered equations: 0
% Current number of rules: 1028
% New rule produced :
% [1083]
% composition(converse(complement(B join C)),A) join composition(converse(B),A) join
% composition(converse(C),A) -> composition(top,A)
% Current number of equations to process: 591
% Current number of ordered equations: 0
% Current number of rules: 1029
% New rule produced :
% [1084]
% complement(composition(converse(A),complement(composition(A,complement(B))))) join B
% -> top
% Current number of equations to process: 624
% Current number of ordered equations: 0
% Current number of rules: 1030
% New rule produced :
% [1085] converse(zero) join converse(zero) -> converse(zero)
% Current number of equations to process: 649
% Current number of ordered equations: 0
% Current number of rules: 1031
% New rule produced :
% [1086]
% complement(composition(one,A)) join complement(composition(converse(B),
% complement(composition(B,A))))
% -> top
% Current number of equations to process: 650
% Current number of ordered equations: 0
% Current number of rules: 1032
% New rule produced :
% [1087]
% converse(complement(A)) join complement(converse(composition(converse(B),
% complement(composition(B,A)))))
% -> top
% Current number of equations to process: 648
% Current number of ordered equations: 0
% Current number of rules: 1033
% New rule produced :
% [1088]
% complement(converse(A)) join complement(composition(converse(B),complement(
% converse(
% composition(A,
% converse(B))))))
% -> top
% Current number of equations to process: 647
% Current number of ordered equations: 0
% Current number of rules: 1034
% New rule produced :
% [1089]
% complement(A join B) join complement(composition(converse(C),complement(
% composition(C,A)))) join B
% -> top
% Current number of equations to process: 645
% Current number of ordered equations: 0
% Current number of rules: 1035
% New rule produced :
% [1090]
% complement(composition(converse(A),complement(composition(A,B))) join B) join B
% -> complement(composition(converse(A),complement(composition(A,B))))
% Current number of equations to process: 643
% Current number of ordered equations: 0
% Current number of rules: 1036
% New rule produced :
% [1091]
% complement(composition(composition(A,converse(B)),complement(composition(
% composition(B,
% converse(A)),C)))) join
% complement(C) -> top
% Current number of equations to process: 642
% Current number of ordered equations: 0
% Current number of rules: 1037
% New rule produced :
% [1092]
% complement(composition(composition(converse(A),B),complement(composition(
% composition(
% converse(B),A),C)))) join
% complement(C) -> top
% Current number of equations to process: 641
% Current number of ordered equations: 0
% Current number of rules: 1038
% New rule produced :
% [1093]
% converse(complement(A)) join complement(converse(composition(converse(B),
% complement(composition(B,A)))) join C) join C
% -> top
% Current number of equations to process: 638
% Current number of ordered equations: 0
% Current number of rules: 1039
% New rule produced :
% [1094]
% converse(composition(converse(composition(A,B)),complement(composition(A,
% composition(B,C))))) join
% converse(complement(C)) -> converse(complement(C))
% Current number of equations to process: 637
% Current number of ordered equations: 0
% Current number of rules: 1040
% New rule produced :
% [1095]
% complement(converse(composition(A,B))) join complement(composition(converse(C),
% complement(composition(
% composition(C,
% converse(B)),
% converse(A)))))
% -> top
% Current number of equations to process: 634
% Current number of ordered equations: 0
% Current number of rules: 1041
% New rule produced :
% [1096]
% complement(converse(A)) join complement(composition(converse(composition(B,
% converse(C))),
% complement(composition(B,converse(
% composition(A,C))))))
% -> top
% Current number of equations to process: 633
% Current number of ordered equations: 0
% Current number of rules: 1042
% New rule produced :
% [1097]
% converse(composition(composition(A,B),complement(composition(converse(B),
% composition(converse(A),C))))) join
% converse(complement(C)) -> converse(complement(C))
% Current number of equations to process: 632
% Current number of ordered equations: 0
% Current number of rules: 1043
% New rule produced :
% [1098]
% converse(composition(converse(A),complement(composition(composition(A,B),C)))) join
% converse(complement(composition(B,C))) ->
% converse(complement(composition(B,C)))
% Current number of equations to process: 631
% Current number of ordered equations: 0
% Current number of rules: 1044
% New rule produced :
% [1099]
% composition(converse(composition(converse(C),complement(composition(C,A)))),B) join
% composition(converse(complement(A)),B) ->
% composition(converse(complement(A)),B)
% Current number of equations to process: 630
% Current number of ordered equations: 0
% Current number of rules: 1045
% New rule produced :
% [1100]
% composition(converse(B),complement(composition(B,A))) join complement(
% composition(
% converse(B),
% complement(
% composition(B,A))) join A)
% -> complement(A)
% Current number of equations to process: 628
% Current number of ordered equations: 0
% Current number of rules: 1046
% New rule produced :
% [1101]
% converse(composition(converse(A),complement(composition(A,complement(B))))) join
% converse(B) -> converse(B)
% Current number of equations to process: 671
% Current number of ordered equations: 0
% Current number of rules: 1047
% New rule produced : [1102] converse(zero) join converse(A) -> converse(A)
% Rule [1085] converse(zero) join converse(zero) -> converse(zero) collapsed.
% Current number of equations to process: 671
% Current number of ordered equations: 0
% Current number of rules: 1047
% New rule produced :
% [1103] composition(zero,B) join composition(A,B) -> composition(A,B)
% Current number of equations to process: 671
% Current number of ordered equations: 0
% Current number of rules: 1048
% New rule produced :
% [1104]
% converse(composition(converse(A),complement(composition(A,B)))) join
% converse(complement(composition(one,B))) ->
% converse(complement(composition(one,B)))
% Current number of equations to process: 669
% Current number of ordered equations: 0
% Current number of rules: 1049
% New rule produced :
% [1105]
% converse(composition(converse(A),complement(converse(composition(B,converse(A)))))) join
% converse(complement(converse(B))) -> converse(complement(converse(B)))
% Current number of equations to process: 668
% Current number of ordered equations: 0
% Current number of rules: 1050
% New rule produced :
% [1106]
% converse(composition(composition(A,converse(B)),complement(composition(
% composition(B,
% converse(A)),C)))) join
% converse(complement(C)) -> converse(complement(C))
% Current number of equations to process: 667
% Current number of ordered equations: 0
% Current number of rules: 1051
% New rule produced :
% [1107]
% converse(composition(composition(converse(A),B),complement(composition(
% composition(
% converse(B),A),C)))) join
% converse(complement(C)) -> converse(complement(C))
% Current number of equations to process: 666
% Current number of ordered equations: 0
% Current number of rules: 1052
% New rule produced :
% [1108]
% converse(complement(composition(converse(A),complement(composition(A,B))) join C)) join
% converse(complement(B)) join converse(C) -> top
% Current number of equations to process: 665
% Current number of ordered equations: 0
% Current number of rules: 1053
% New rule produced :
% [1109]
% composition(converse(A),complement(composition(composition(A,converse(B)),
% converse(C)))) join complement(converse(
% composition(C,B)))
% -> complement(converse(composition(C,B)))
% Current number of equations to process: 664
% Current number of ordered equations: 0
% Current number of rules: 1054
% New rule produced :
% [1110]
% composition(composition(A,B),composition(C,V_3)) join composition(complement(A),
% composition(composition(B,C),V_3))
% -> composition(composition(top,B),composition(C,V_3))
% Current number of equations to process: 661
% Current number of ordered equations: 1
% Current number of rules: 1055
% New rule produced :
% [1111]
% composition(composition(complement(A),B),composition(C,V_3)) join composition(A,
% composition(
% composition(B,C),V_3))
% -> composition(composition(top,B),composition(C,V_3))
% Current number of equations to process: 661
% Current number of ordered equations: 0
% Current number of rules: 1056
% New rule produced :
% [1112]
% composition(composition(composition(A,B),C),V_3) join composition(complement(A),
% composition(composition(B,C),V_3))
% -> composition(composition(top,B),composition(C,V_3))
% Current number of equations to process: 659
% Current number of ordered equations: 1
% Current number of rules: 1057
% New rule produced :
% [1113]
% composition(composition(composition(complement(A),B),C),V_3) join composition(A,
% composition(
% composition(B,C),V_3))
% -> composition(composition(top,B),composition(C,V_3))
% Current number of equations to process: 659
% Current number of ordered equations: 0
% Current number of rules: 1058
% New rule produced :
% [1114]
% composition(composition(A,composition(B,C)),V_3) join composition(complement(A),
% composition(B,composition(C,V_3)))
% -> composition(composition(top,B),composition(C,V_3))
% Current number of equations to process: 657
% Current number of ordered equations: 1
% Current number of rules: 1059
% New rule produced :
% [1115]
% composition(composition(complement(A),composition(B,C)),V_3) join composition(A,
% composition(B,
% composition(C,V_3)))
% -> composition(composition(top,B),composition(C,V_3))
% Current number of equations to process: 657
% Current number of ordered equations: 0
% Current number of rules: 1060
% New rule produced :
% [1116]
% composition(composition(composition(A,B),C),V_3) join composition(complement(A),
% composition(B,composition(C,V_3)))
% -> composition(composition(top,B),composition(C,V_3))
% Current number of equations to process: 655
% Current number of ordered equations: 1
% Current number of rules: 1061
% New rule produced :
% [1117]
% composition(composition(composition(complement(A),B),C),V_3) join composition(A,
% composition(B,
% composition(C,V_3)))
% -> composition(composition(top,B),composition(C,V_3))
% Current number of equations to process: 655
% Current number of ordered equations: 0
% Current number of rules: 1062
% New rule produced :
% [1118]
% converse(complement(complement(A join B) join C)) join converse(C) <->
% converse(complement(complement(C) join A join B)) join converse(A) join
% converse(B)
% Current number of equations to process: 653
% Current number of ordered equations: 1
% Current number of rules: 1063
% New rule produced :
% [1119]
% converse(complement(complement(C) join A join B)) join converse(A) join
% converse(B) <->
% converse(complement(complement(A join B) join C)) join converse(C)
% Current number of equations to process: 653
% Current number of ordered equations: 0
% Current number of rules: 1064
% New rule produced :
% [1120]
% composition(complement(B),A) join complement(complement(composition(B,A)) join C) join C
% <-> composition(top,A) join complement(composition(B,A) join complement(C))
% Current number of equations to process: 652
% Current number of ordered equations: 1
% Current number of rules: 1065
% New rule produced :
% [1121]
% composition(top,A) join complement(composition(B,A) join complement(C)) <->
% composition(complement(B),A) join complement(complement(composition(B,A)) join C) join C
% Current number of equations to process: 652
% Current number of ordered equations: 0
% Current number of rules: 1066
% New rule produced :
% [1122]
% converse(A) join complement(complement(converse(complement(A join B)) join
% converse(B) join C) join V_3) join V_3
% -> top
% Current number of equations to process: 642
% Current number of ordered equations: 4
% Current number of rules: 1067
% New rule produced :
% [1123]
% converse(A) join converse(B) join complement(complement(converse(complement(
% A join B)) join C) join V_3) join V_3
% -> top
% Current number of equations to process: 642
% Current number of ordered equations: 3
% Current number of rules: 1068
% New rule produced :
% [1124]
% converse(complement(complement(complement(A) join B) join B)) join converse(
% complement(
% complement(B) join A)) join
% converse(A) -> top
% Current number of equations to process: 642
% Current number of ordered equations: 2
% Current number of rules: 1069
% New rule produced :
% [1125]
% converse(complement(A join B)) join complement(complement(converse(A) join
% converse(B) join C) join V_3) join V_3
% -> top
% Current number of equations to process: 642
% Current number of ordered equations: 1
% Current number of rules: 1070
% New rule produced :
% [1126]
% converse(complement(A join B)) join converse(B) join complement(complement(
% converse(A) join C) join V_3) join V_3
% -> top
% Current number of equations to process: 642
% Current number of ordered equations: 0
% Current number of rules: 1071
% New rule produced :
% [1127]
% complement(complement(B) join A) join complement(complement(C) join B) join A
% <->
% complement(complement(A) join B) join complement(complement(B) join C) join C
% Current number of equations to process: 641
% Current number of ordered equations: 0
% Current number of rules: 1072
% New rule produced :
% [1128]
% complement(composition(converse(A),complement(composition(composition(A,B),
% composition(C,V_3))))) join
% complement(composition(composition(B,C),V_3)) -> top
% Current number of equations to process: 639
% Current number of ordered equations: 0
% Current number of rules: 1073
% New rule produced :
% [1129]
% complement(composition(converse(composition(A,B)),complement(composition(A,
% composition(
% composition(B,C),V_3))))) join
% complement(composition(C,V_3)) -> top
% Current number of equations to process: 638
% Current number of ordered equations: 0
% Current number of rules: 1074
% New rule produced :
% [1130]
% complement(composition(converse(A),complement(composition(composition(
% composition(A,B),C),V_3)))) join
% complement(composition(composition(B,C),V_3)) -> top
% Current number of equations to process: 637
% Current number of ordered equations: 0
% Current number of rules: 1075
% New rule produced :
% [1131]
% complement(composition(converse(A),complement(composition(composition(A,
% composition(B,C)),V_3)))) join
% complement(composition(B,composition(C,V_3))) -> top
% Current number of equations to process: 636
% Current number of ordered equations: 0
% Current number of rules: 1076
% New rule produced :
% [1132]
% complement(composition(converse(A),complement(composition(composition(
% composition(A,B),C),V_3)))) join
% complement(composition(B,composition(C,V_3))) -> top
% Current number of equations to process: 635
% Current number of ordered equations: 0
% Current number of rules: 1077
% New rule produced :
% [1133]
% complement(composition(converse(composition(A,composition(B,C))),complement(
% composition(A,
% composition(B,
% composition(C,V_3)))))) join
% complement(V_3) -> top
% Current number of equations to process: 634
% Current number of ordered equations: 0
% Current number of rules: 1078
% New rule produced :
% [1134]
% complement(composition(converse(composition(composition(A,B),C)),complement(
% composition(A,
% composition(
% composition(B,C),V_3))))) join
% complement(V_3) -> top
% Current number of equations to process: 633
% Current number of ordered equations: 0
% Current number of rules: 1079
% New rule produced :
% [1135]
% complement(composition(converse(composition(composition(A,B),C)),complement(
% composition(A,
% composition(B,
% composition(C,V_3)))))) join
% complement(V_3) -> top
% Current number of equations to process: 632
% Current number of ordered equations: 0
% Current number of rules: 1080
% New rule produced :
% [1136]
% complement(composition(converse(composition(A,composition(B,C))),complement(
% composition(
% composition(A,B),
% composition(C,V_3))))) join
% complement(V_3) -> top
% Current number of equations to process: 631
% Current number of ordered equations: 0
% Current number of rules: 1081
% New rule produced :
% [1137]
% complement(composition(converse(composition(A,B)),complement(composition(
% composition(A,
% composition(B,C)),V_3)))) join
% complement(composition(C,V_3)) -> top
% Current number of equations to process: 630
% Current number of ordered equations: 0
% Current number of rules: 1082
% New rule produced :
% [1138]
% complement(complement(complement(composition(converse(A),complement(composition(A,B)))) join C) join V_3) join
% complement(B) join V_3 -> top
% Current number of equations to process: 628
% Current number of ordered equations: 1
% Current number of rules: 1083
% New rule produced :
% [1139]
% complement(complement(complement(A) join B) join C) join complement(composition(
% converse(V_3),
% complement(
% composition(V_3,A)))) join C
% -> top
% Current number of equations to process: 628
% Current number of ordered equations: 0
% Current number of rules: 1084
% New rule produced : [1140] A join A -> A
% Rule [67] complement(A join A) -> complement(A) collapsed.
% Rule
% [1057]
% complement(complement(A join B) join B join B) join complement(A) ->
% complement(A) join complement(B) collapsed.
% Current number of equations to process: 635
% Current number of ordered equations: 0
% Current number of rules: 1083
% New rule produced :
% [1141]
% composition(composition(A,converse(B)),complement(composition(B,top))) ->
% composition(A,zero)
% Current number of equations to process: 642
% Current number of ordered equations: 0
% Current number of rules: 1084
% New rule produced :
% [1142]
% composition(converse(B),composition(complement(composition(B,top)),A)) ->
% composition(zero,A)
% Current number of equations to process: 641
% Current number of ordered equations: 0
% Current number of rules: 1085
% New rule produced :
% [1143]
% composition(complement(converse(A)),complement(composition(A,top))) ->
% composition(top,complement(composition(A,top)))
% Current number of equations to process: 640
% Current number of ordered equations: 0
% Current number of rules: 1086
% New rule produced :
% [1144]
% composition(converse(complement(composition(B,top))),composition(B,A)) ->
% composition(converse(zero),A)
% Current number of equations to process: 639
% Current number of ordered equations: 0
% Current number of rules: 1087
% New rule produced :
% [1145]
% composition(converse(composition(A,B)),complement(composition(A,composition(B,top))))
% -> zero
% Current number of equations to process: 638
% Current number of ordered equations: 0
% Current number of rules: 1088
% New rule produced :
% [1146]
% complement(complement(A join B) join B) join complement(A) ->
% complement(A) join complement(B)
% Current number of equations to process: 637
% Current number of ordered equations: 0
% Current number of rules: 1089
% New rule produced :
% [1147]
% composition(composition(A,B),complement(composition(converse(B),composition(
% converse(A),top))))
% -> zero
% Current number of equations to process: 636
% Current number of ordered equations: 0
% Current number of rules: 1090
% New rule produced :
% [1148] complement(A join B) join complement(A) -> complement(A)
% Rule [69] complement(complement(A join B) join complement(B)) -> B collapsed.
% Rule
% [81]
% complement(complement(complement(A) join B) join complement(A) join complement(B)) join
% complement(A) -> complement(A) join B collapsed.
% Rule
% [92]
% complement(complement(composition(A,converse(one))) join complement(A) join
% complement(B)) join complement(complement(A) join complement(B))
% ->
% complement(complement(composition(A,converse(one))) join complement(A) join
% complement(B)) collapsed.
% Current number of equations to process: 660
% Current number of ordered equations: 0
% Current number of rules: 1088
% New rule produced :
% [1149] complement(complement(complement(A) join B) join A) -> complement(A)
% Current number of equations to process: 659
% Current number of ordered equations: 0
% Current number of rules: 1089
% Rule [1121]
% composition(top,A) join complement(composition(B,A) join complement(C))
% <->
% composition(complement(B),A) join complement(complement(composition(B,A)) join C) join C is composed into
% [1121]
% composition(top,A) join complement(composition(B,A) join complement(C)) <->
% composition(complement(B),A) join complement(complement(composition(B,A))) join C
% New rule produced :
% [1150] complement(A join B) join B -> complement(A) join B
% Rule
% [57]
% complement(complement(A) join B) join B <->
% complement(complement(B) join A) join A collapsed.
% Rule
% [70]
% complement(complement(complement(complement(A) join B) join B) join complement(A))
% -> A collapsed.
% Rule
% [76] complement(complement(complement(A) join B) join C) join A join C -> top
% collapsed.
% Rule
% [80]
% complement(composition(converse(B),complement(composition(B,A))) join C) join
% complement(A) join C -> top collapsed.
% Rule
% [84]
% complement(complement(complement(complement(B) join C) join A join C) join
% complement(B)) -> B collapsed.
% Rule
% [154]
% composition(top,A) join complement(composition(B,A) join C) join C -> top
% collapsed.
% Rule
% [913]
% complement(composition(converse(A),complement(A)) join B) join complement(one) join B
% -> top collapsed.
% Rule
% [1014]
% complement(composition(A,complement(composition(converse(A),B))) join C) join
% complement(B) join C -> top collapsed.
% Rule
% [1042]
% complement(complement(A join B) join C) join complement(A) join C -> top
% collapsed.
% Rule
% [1044]
% complement(complement(A) join B) join complement(A join C) join B join C ->
% top collapsed.
% Rule
% [1045]
% complement(complement(complement(A join B) join B) join C) join A join C ->
% top collapsed.
% Rule
% [1046]
% complement(complement(complement(A join B) join B join C) join V_3) join A join V_3
% -> top collapsed.
% Rule
% [1048]
% complement(complement(A join B) join C) join complement(B join V_3) join C join V_3
% -> top collapsed.
% Rule
% [1052]
% complement(complement(A) join complement(B)) join complement(A) ->
% complement(A join B) join B collapsed.
% Rule
% [1053]
% complement(complement(complement(A) join B) join B) join A ->
% complement(B) join A collapsed.
% Rule
% [1054]
% converse(A) join complement(complement(converse(complement(A))) join B) join B
% -> top collapsed.
% Rule
% [1055]
% converse(complement(A)) join complement(complement(converse(A)) join B) join B
% -> top collapsed.
% Rule
% [1058]
% converse(A) join complement(complement(converse(complement(A)) join B) join C) join C
% -> top collapsed.
% Rule
% [1059]
% converse(complement(A)) join complement(complement(converse(A) join B) join C) join C
% -> top collapsed.
% Rule
% [1060]
% complement(complement(A join B) join B) join complement(complement(A) join
% complement(B)) -> A
% collapsed.
% Rule
% [1063]
% composition(converse(B),complement(B)) join complement(one join A) join A ->
% complement(one join A) join A collapsed.
% Rule
% [1066]
% converse(A) join complement(complement(converse(complement(A join B)) join
% converse(B)) join C) join C -> top
% collapsed.
% Rule
% [1067]
% converse(A) join converse(B) join complement(complement(converse(complement(
% A join B))) join C) join C
% -> top collapsed.
% Rule
% [1068]
% converse(complement(A join B)) join complement(complement(converse(A) join
% converse(B)) join C) join C
% -> top collapsed.
% Rule
% [1069]
% converse(complement(A join B)) join converse(B) join complement(complement(
% converse(A)) join C) join C
% -> top collapsed.
% Rule
% [1070]
% composition(converse(C),complement(composition(C,B))) join complement(
% A join B) join A
% -> complement(A join B) join A collapsed.
% Rule
% [1071]
% composition(C,complement(composition(converse(C),B))) join complement(
% A join B) join A
% -> complement(A join B) join A collapsed.
% Rule
% [1089]
% complement(A join B) join complement(composition(converse(C),complement(
% composition(C,A)))) join B
% -> top collapsed.
% Rule
% [1090]
% complement(composition(converse(A),complement(composition(A,B))) join B) join B
% -> complement(composition(converse(A),complement(composition(A,B))))
% collapsed.
% Rule
% [1093]
% converse(complement(A)) join complement(converse(composition(converse(B),
% complement(composition(B,A)))) join C) join C
% -> top collapsed.
% Rule
% [1100]
% composition(converse(B),complement(composition(B,A))) join complement(
% composition(
% converse(B),
% complement(
% composition(B,A))) join A)
% -> complement(A) collapsed.
% Rule
% [1120]
% composition(complement(B),A) join complement(complement(composition(B,A)) join C) join C
% <-> composition(top,A) join complement(composition(B,A) join complement(C))
% collapsed.
% Rule
% [1122]
% converse(A) join complement(complement(converse(complement(A join B)) join
% converse(B) join C) join V_3) join V_3
% -> top collapsed.
% Rule
% [1123]
% converse(A) join converse(B) join complement(complement(converse(complement(
% A join B)) join C) join V_3) join V_3
% -> top collapsed.
% Rule
% [1124]
% converse(complement(complement(complement(A) join B) join B)) join converse(
% complement(
% complement(B) join A)) join
% converse(A) -> top collapsed.
% Rule
% [1125]
% converse(complement(A join B)) join complement(complement(converse(A) join
% converse(B) join C) join V_3) join V_3
% -> top collapsed.
% Rule
% [1126]
% converse(complement(A join B)) join converse(B) join complement(complement(
% converse(A) join C) join V_3) join V_3
% -> top collapsed.
% Rule
% [1127]
% complement(complement(B) join A) join complement(complement(C) join B) join A
% <->
% complement(complement(A) join B) join complement(complement(B) join C) join C
% collapsed.
% Rule
% [1138]
% complement(complement(complement(composition(converse(A),complement(composition(A,B)))) join C) join V_3) join
% complement(B) join V_3 -> top collapsed.
% Rule
% [1139]
% complement(complement(complement(A) join B) join C) join complement(composition(
% converse(V_3),
% complement(
% composition(V_3,A)))) join C
% -> top collapsed.
% Rule
% [1146]
% complement(complement(A join B) join B) join complement(A) ->
% complement(A) join complement(B) collapsed.
% Current number of equations to process: 661
% Current number of ordered equations: 0
% Current number of rules: 1049
% New rule produced :
% [1151]
% composition(converse(composition(B,A)),complement(composition(B,top))) ->
% composition(converse(A),zero)
% Current number of equations to process: 660
% Current number of ordered equations: 0
% Current number of rules: 1050
% New rule produced :
% [1152]
% composition(composition(A,converse(B)),complement(composition(composition(B,
% converse(A)),top)))
% -> zero
% Current number of equations to process: 659
% Current number of ordered equations: 0
% Current number of rules: 1051
% New rule produced :
% [1153]
% composition(composition(A,converse(C)),composition(complement(composition(C,top)),B))
% -> composition(A,composition(zero,B))
% Current number of equations to process: 679
% Current number of ordered equations: 0
% Current number of rules: 1052
% New rule produced :
% [1154]
% complement(composition(converse(A),complement(composition(A,B)))) join B ->
% complement(composition(converse(A),complement(composition(A,B))))
% Current number of equations to process: 677
% Current number of ordered equations: 0
% Current number of rules: 1053
% New rule produced :
% [1155]
% composition(converse(composition(A,B)),complement(composition(A,composition(B,
% complement(C))))) join C
% -> C
% Current number of equations to process: 675
% Current number of ordered equations: 0
% Current number of rules: 1054
% New rule produced :
% [1156]
% complement(complement(composition(A,converse(one))) join complement(A) join
% complement(B)) -> complement(complement(A) join complement(B))
% Current number of equations to process: 674
% Current number of ordered equations: 0
% Current number of rules: 1055
% New rule produced :
% [1157]
% composition(converse(composition(A,composition(B,C))),complement(composition(A,
% composition(B,
% composition(C,top)))))
% -> zero
% Current number of equations to process: 673
% Current number of ordered equations: 0
% Current number of rules: 1056
% New rule produced :
% [1158]
% composition(converse(composition(A,composition(B,C))),complement(composition(
% composition(A,B),
% composition(C,top))))
% -> zero
% Current number of equations to process: 672
% Current number of ordered equations: 0
% Current number of rules: 1057
% New rule produced :
% [1159]
% composition(top,A) join complement(composition(B,A) join complement(C)) ->
% composition(top,A) join C
% Rule
% [1121]
% composition(top,A) join complement(composition(B,A) join complement(C)) <->
% composition(complement(B),A) join complement(complement(composition(B,A))) join C
% collapsed.
% Current number of equations to process: 670
% Current number of ordered equations: 0
% Current number of rules: 1057
% New rule produced :
% [1160]
% converse(complement(complement(B) join A)) join converse(complement(A join B)) join
% converse(A) -> top
% Current number of equations to process: 669
% Current number of ordered equations: 0
% Current number of rules: 1058
% New rule produced :
% [1161]
% composition(converse(composition(A,B)),complement(composition(A,composition(B,C)))) join
% complement(composition(one,C)) -> complement(composition(one,C))
% Current number of equations to process: 665
% Current number of ordered equations: 0
% Current number of rules: 1059
% New rule produced :
% [1162]
% composition(converse(composition(A,B)),complement(composition(A,composition(
% composition(B,C),V_3)))) join
% complement(composition(C,V_3)) -> complement(composition(C,V_3))
% Current number of equations to process: 660
% Current number of ordered equations: 0
% Current number of rules: 1060
% New rule produced :
% [1163]
% composition(converse(composition(A,B)),complement(composition(composition(A,
% composition(B,C)),V_3))) join
% complement(composition(C,V_3)) -> complement(composition(C,V_3))
% Current number of equations to process: 659
% Current number of ordered equations: 0
% Current number of rules: 1061
% New rule produced :
% [1164]
% converse(composition(converse(composition(B,A)),C)) join converse(composition(
% converse(
% composition(B,A)),V_3))
% <->
% converse(composition(converse(A),composition(converse(B),C))) join converse(
% composition(
% converse(A),
% composition(
% converse(B),V_3)))
% Current number of equations to process: 657
% Current number of ordered equations: 1
% Current number of rules: 1062
% New rule produced :
% [1165]
% converse(composition(converse(A),composition(converse(B),C))) join converse(
% composition(
% converse(A),
% composition(
% converse(B),V_3)))
% <->
% converse(composition(converse(composition(B,A)),C)) join converse(composition(
% converse(
% composition(B,A)),V_3))
% Current number of equations to process: 657
% Current number of ordered equations: 0
% Current number of rules: 1063
% New rule produced :
% [1166]
% complement(composition(converse(A),complement(A)) join complement(B)) join
% complement(one) -> complement(one) join B
% Current number of equations to process: 652
% Current number of ordered equations: 0
% Current number of rules: 1064
% New rule produced :
% [1167]
% composition(composition(converse(composition(C,V_3)),complement(composition(C,
% composition(V_3,A)))),B) join
% composition(complement(A),B) -> composition(complement(A),B)
% Current number of equations to process: 648
% Current number of ordered equations: 0
% Current number of rules: 1065
% New rule produced :
% [1168]
% converse(A) join complement(converse(complement(complement(A) join B))) ->
% top
% Current number of equations to process: 733
% Current number of ordered equations: 0
% Current number of rules: 1066
% New rule produced :
% [1169]
% converse(complement(complement(A) join B)) join converse(complement(A join B))
% -> converse(complement(B))
% Rule
% [72]
% converse(complement(complement(A) join complement(B))) join converse(
% complement(
% complement(A) join B))
% -> converse(A) collapsed.
% Rule
% [1160]
% converse(complement(complement(B) join A)) join converse(complement(A join B)) join
% converse(A) -> top collapsed.
% Current number of equations to process: 735
% Current number of ordered equations: 0
% Current number of rules: 1065
% New rule produced :
% [1170]
% composition(top,A) join complement(composition(B,A) join composition(C,A)) ->
% top
% Current number of equations to process: 744
% Current number of ordered equations: 0
% Current number of rules: 1066
% New rule produced :
% [1171]
% composition(composition(A,converse(B)),complement(composition(B,composition(
% converse(A),C)))) join
% complement(C) -> complement(C)
% Current number of equations to process: 760
% Current number of ordered equations: 0
% Current number of rules: 1067
% New rule produced :
% [1172]
% composition(composition(converse(A),B),complement(composition(converse(B),
% composition(A,C)))) join
% complement(C) -> complement(C)
% Current number of equations to process: 759
% Current number of ordered equations: 0
% Current number of rules: 1068
% New rule produced :
% [1173]
% composition(converse(composition(A,converse(B))),complement(composition(A,
% converse(
% composition(
% converse(C),B))))) join
% complement(C) -> complement(C)
% Current number of equations to process: 753
% Current number of ordered equations: 1
% Current number of rules: 1069
% New rule produced :
% [1174]
% composition(converse(composition(converse(A),B)),complement(converse(
% composition(
% converse(
% composition(B,C)),A)))) join
% complement(C) -> complement(C)
% Current number of equations to process: 753
% Current number of ordered equations: 0
% Current number of rules: 1070
% New rule produced :
% [1175]
% composition(converse(composition(A,B)),complement(composition(A,converse(
% composition(C,
% converse(B)))))) join
% complement(converse(C)) -> complement(converse(C))
% Current number of equations to process: 752
% Current number of ordered equations: 0
% Current number of rules: 1071
% New rule produced :
% [1176]
% composition(converse(composition(A,composition(B,C))),complement(composition(
% composition(
% composition(A,B),C),V_3))) join
% complement(V_3) -> complement(V_3)
% Current number of equations to process: 747
% Current number of ordered equations: 0
% Current number of rules: 1072
% New rule produced :
% [1177]
% composition(converse(composition(composition(A,B),C)),complement(composition(
% composition(A,
% composition(B,C)),V_3))) join
% complement(V_3) -> complement(V_3)
% Current number of equations to process: 746
% Current number of ordered equations: 0
% Current number of rules: 1073
% New rule produced :
% [1178]
% converse(composition(complement(B join C),A)) join converse(composition(B,A)) join
% converse(composition(C,A)) -> converse(composition(top,A))
% Current number of equations to process: 745
% Current number of ordered equations: 0
% Current number of rules: 1074
% New rule produced :
% [1179]
% composition(complement(converse(A) join B),complement(A)) join composition(B,
% complement(A)) join
% complement(one) -> composition(top,complement(A)) join complement(one)
% Current number of equations to process: 744
% Current number of ordered equations: 0
% Current number of rules: 1075
% New rule produced :
% [1180]
% composition(complement(composition(A,B) join C),V_3) join composition(A,
% composition(B,V_3)) join
% composition(C,V_3) -> composition(top,V_3)
% Current number of equations to process: 743
% Current number of ordered equations: 0
% Current number of rules: 1076
% New rule produced :
% [1181]
% composition(converse(complement(complement(A) join complement(C))),B) join
% composition(converse(complement(complement(A) join C)),B) ->
% composition(converse(A),B)
% Current number of equations to process: 742
% Current number of ordered equations: 0
% Current number of rules: 1077
% New rule produced :
% [1182]
% converse(composition(A,B)) join composition(complement(converse(B) join C),
% converse(A)) join composition(C,converse(A))
% -> composition(top,converse(A))
% Current number of equations to process: 741
% Current number of ordered equations: 0
% Current number of rules: 1078
% New rule produced :
% [1183]
% converse(composition(converse(A),B)) join composition(complement(converse(B) join C),A) join
% composition(C,A) -> composition(top,A)
% Current number of equations to process: 821
% Current number of ordered equations: 0
% Current number of rules: 1079
% New rule produced :
% [1184]
% composition(converse(A),complement(composition(composition(A,B),C))) join
% complement(composition(composition(one,B),C)) ->
% complement(composition(composition(one,B),C))
% Current number of equations to process: 820
% Current number of ordered equations: 0
% Current number of rules: 1080
% New rule produced :
% [1185]
% composition(top,converse(A)) <->
% converse(composition(A,converse(complement(B join C)))) join composition(B,
% converse(A)) join
% composition(C,converse(A))
% Current number of equations to process: 818
% Current number of ordered equations: 2
% Current number of rules: 1081
% New rule produced :
% [1186]
% converse(composition(A,converse(complement(B join C)))) join composition(B,
% converse(A)) join
% composition(C,converse(A)) <-> composition(top,converse(A))
% Current number of equations to process: 818
% Current number of ordered equations: 1
% Current number of rules: 1082
% New rule produced :
% [1187]
% converse(composition(A,converse(B))) join composition(complement(B join C),
% converse(A)) join composition(C,
% converse(A)) ->
% composition(top,converse(A))
% Current number of equations to process: 818
% Current number of ordered equations: 0
% Current number of rules: 1083
% New rule produced :
% [1188]
% composition(complement(converse(A) join B),complement(composition(A,top))) join
% composition(B,complement(composition(A,top))) ->
% composition(top,complement(composition(A,top)))
% Current number of equations to process: 817
% Current number of ordered equations: 0
% Current number of rules: 1084
% New rule produced :
% [1189]
% composition(composition(A,B),composition(C,V_3)) join composition(composition(A,V_4),
% composition(C,V_3)) <->
% composition(A,composition(composition(B,C),V_3)) join composition(A,composition(
% composition(V_4,C),V_3))
% Current number of equations to process: 815
% Current number of ordered equations: 1
% Current number of rules: 1085
% New rule produced :
% [1190]
% composition(A,composition(composition(B,C),V_3)) join composition(A,composition(
% composition(V_4,C),V_3))
% <->
% composition(composition(A,B),composition(C,V_3)) join composition(composition(A,V_4),
% composition(C,V_3))
% Current number of equations to process: 815
% Current number of ordered equations: 0
% Current number of rules: 1086
% New rule produced :
% [1191]
% composition(composition(A,B),composition(C,V_3)) join composition(composition(A,B),
% composition(V_4,V_3))
% <->
% composition(A,composition(composition(B,C),V_3)) join composition(A,composition(
% composition(B,V_4),V_3))
% Current number of equations to process: 814
% Current number of ordered equations: 1
% Current number of rules: 1087
% New rule produced :
% [1192]
% composition(A,composition(composition(B,C),V_3)) join composition(A,composition(
% composition(B,V_4),V_3))
% <->
% composition(composition(A,B),composition(C,V_3)) join composition(composition(A,B),
% composition(V_4,V_3))
% Current number of equations to process: 814
% Current number of ordered equations: 0
% Current number of rules: 1088
% New rule produced :
% [1193]
% composition(A,composition(composition(B,C),V_3)) join composition(A,composition(
% composition(V_4,C),V_3))
% <->
% composition(composition(composition(A,B),C),V_3) join composition(composition(
% composition(A,V_4),C),V_3)
% Current number of equations to process: 813
% Current number of ordered equations: 1
% Current number of rules: 1089
% New rule produced :
% [1194]
% composition(composition(composition(A,B),C),V_3) join composition(composition(
% composition(A,V_4),C),V_3)
% <->
% composition(A,composition(composition(B,C),V_3)) join composition(A,composition(
% composition(V_4,C),V_3))
% Current number of equations to process: 813
% Current number of ordered equations: 0
% Current number of rules: 1090
% New rule produced :
% [1195]
% composition(A,composition(B,composition(C,V_3))) join composition(A,composition(V_4,
% composition(C,V_3)))
% <->
% composition(composition(composition(A,B),C),V_3) join composition(composition(
% composition(A,V_4),C),V_3)
% Current number of equations to process: 812
% Current number of ordered equations: 1
% Current number of rules: 1091
% New rule produced :
% [1196]
% composition(composition(composition(A,B),C),V_3) join composition(composition(
% composition(A,V_4),C),V_3)
% <->
% composition(A,composition(B,composition(C,V_3))) join composition(A,composition(V_4,
% composition(C,V_3)))
% Current number of equations to process: 812
% Current number of ordered equations: 0
% Current number of rules: 1092
% New rule produced :
% [1197]
% composition(complement(converse(composition(A,B))),complement(composition(A,
% composition(B,C)))) join
% complement(C) ->
% composition(top,complement(composition(A,composition(B,C)))) join complement(C)
% Current number of equations to process: 798
% Current number of ordered equations: 0
% Current number of rules: 1093
% New rule produced :
% [1198]
% composition(composition(converse(A),complement(composition(A,complement(B)))),C) join
% composition(B,C) -> composition(B,C)
% Current number of equations to process: 903
% Current number of ordered equations: 0
% Current number of rules: 1094
% New rule produced :
% [1199]
% composition(complement(A),B) join complement(composition(composition(
% converse(C),
% complement(composition(C,A))),B))
% -> top
% Current number of equations to process: 902
% Current number of ordered equations: 0
% Current number of rules: 1095
% New rule produced :
% [1200]
% composition(converse(A),composition(complement(composition(A,B)),C)) join
% composition(complement(B),C) -> composition(complement(B),C)
% Current number of equations to process: 901
% Current number of ordered equations: 0
% Current number of rules: 1096
% New rule produced :
% [1201]
% composition(converse(composition(one,A)),complement(composition(composition(A,B),C))) join
% complement(composition(B,C)) -> complement(composition(B,C))
% Current number of equations to process: 899
% Current number of ordered equations: 0
% Current number of rules: 1097
% New rule produced :
% [1202]
% converse(composition(composition(converse(C),complement(composition(C,A))),B)) join
% converse(composition(complement(A),B)) ->
% converse(composition(complement(A),B))
% Current number of equations to process: 897
% Current number of ordered equations: 0
% Current number of rules: 1098
% New rule produced :
% [1203]
% composition(composition(converse(A),complement(composition(A,B))),C) join
% composition(complement(composition(one,B)),C) ->
% composition(complement(composition(one,B)),C)
% Current number of equations to process: 896
% Current number of ordered equations: 0
% Current number of rules: 1099
% New rule produced :
% [1204]
% composition(converse(A),complement(converse(composition(B,converse(composition(A,C)))))) join
% complement(composition(C,converse(B))) ->
% complement(composition(C,converse(B)))
% Current number of equations to process: 893
% Current number of ordered equations: 1
% Current number of rules: 1100
% New rule produced :
% [1205]
% composition(converse(A),complement(composition(composition(A,B),converse(C)))) join
% complement(converse(composition(C,converse(B)))) ->
% complement(composition(B,converse(C)))
% Current number of equations to process: 893
% Current number of ordered equations: 0
% Current number of rules: 1101
% New rule produced :
% [1206]
% composition(converse(A),complement(composition(composition(A,converse(B)),C))) join
% complement(converse(composition(converse(C),B))) ->
% complement(composition(converse(B),C))
% Current number of equations to process: 892
% Current number of ordered equations: 0
% Current number of rules: 1102
% New rule produced :
% [1207]
% composition(top,composition(A,B)) join composition(composition(C,A),B) ->
% composition(top,composition(A,B))
% Current number of equations to process: 987
% Current number of ordered equations: 0
% Current number of rules: 1103
% New rule produced :
% [1208]
% composition(composition(converse(A),complement(composition(A,B))),complement(
% composition(
% converse(
% complement(B)),C))) join
% complement(C) -> complement(C)
% Current number of equations to process: 985
% Current number of ordered equations: 0
% Current number of rules: 1104
% New rule produced :
% [1209]
% composition(composition(A,B),C) join composition(composition(V_3,B),C) join
% complement(composition(V_3,composition(B,C))) -> top
% Current number of equations to process: 984
% Current number of ordered equations: 0
% Current number of rules: 1105
% New rule produced :
% [1210]
% converse(composition(A,converse(complement(B)))) join composition(composition(
% converse(C),
% complement(
% composition(C,B))),
% converse(A)) ->
% composition(complement(B),converse(A))
% Current number of equations to process: 981
% Current number of ordered equations: 2
% Current number of rules: 1106
% New rule produced :
% [1211]
% composition(composition(converse(A),complement(converse(composition(B,
% converse(A))))),C) join
% composition(complement(converse(B)),C) ->
% composition(complement(converse(B)),C)
% Current number of equations to process: 981
% Current number of ordered equations: 1
% Current number of rules: 1107
% New rule produced :
% [1212]
% converse(composition(A,converse(composition(converse(B),complement(composition(B,C)))))) join
% composition(complement(C),converse(A)) ->
% composition(complement(C),converse(A))
% Current number of equations to process: 981
% Current number of ordered equations: 0
% Current number of rules: 1108
% New rule produced :
% [1213]
% converse(composition(composition(A,B),C)) join converse(composition(composition(V_3,B),C))
% <->
% converse(composition(A,composition(B,C))) join converse(composition(V_3,
% composition(B,C)))
% Current number of equations to process: 980
% Current number of ordered equations: 1
% Current number of rules: 1109
% New rule produced :
% [1214]
% converse(composition(A,composition(B,C))) join converse(composition(V_3,
% composition(B,C)))
% <->
% converse(composition(composition(A,B),C)) join converse(composition(composition(V_3,B),C))
% Current number of equations to process: 980
% Current number of ordered equations: 0
% Current number of rules: 1110
% New rule produced :
% [1215]
% composition(A,composition(B,composition(C,V_3))) join composition(V_4,
% composition(C,V_3)) <->
% composition(composition(composition(A,B),C),V_3) join composition(composition(V_4,C),V_3)
% Current number of equations to process: 979
% Current number of ordered equations: 1
% Current number of rules: 1111
% New rule produced :
% [1216]
% composition(composition(composition(A,B),C),V_3) join composition(composition(V_4,C),V_3)
% <->
% composition(A,composition(B,composition(C,V_3))) join composition(V_4,
% composition(C,V_3))
% Current number of equations to process: 979
% Current number of ordered equations: 0
% Current number of rules: 1112
% New rule produced :
% [1217]
% composition(top,composition(A,B)) <->
% composition(composition(complement(C),A),B) join composition(composition(V_3,A),B) join
% composition(C,composition(A,B))
% Current number of equations to process: 978
% Current number of ordered equations: 1
% Current number of rules: 1113
% New rule produced :
% [1218]
% composition(composition(complement(C),A),B) join composition(composition(V_3,A),B) join
% composition(C,composition(A,B)) <-> composition(top,composition(A,B))
% Current number of equations to process: 978
% Current number of ordered equations: 0
% Current number of rules: 1114
% New rule produced :
% [1219]
% composition(top,A) join composition(B,composition(C,A)) -> composition(top,A)
% Current number of equations to process: 1086
% Current number of ordered equations: 0
% Current number of rules: 1115
% New rule produced :
% [1220]
% composition(A,composition(B,C)) join composition(V_3,composition(B,C)) join
% complement(composition(composition(V_3,B),C)) -> top
% Current number of equations to process: 1103
% Current number of ordered equations: 0
% Current number of rules: 1116
% New rule produced :
% [1221]
% converse(composition(converse(composition(A,B)),C)) join composition(V_3,
% composition(A,B))
% <->
% composition(composition(converse(C),A),B) join composition(composition(V_3,A),B)
% Current number of equations to process: 1102
% Current number of ordered equations: 1
% Current number of rules: 1117
% New rule produced :
% [1222]
% composition(composition(converse(C),A),B) join composition(composition(V_3,A),B)
% <->
% converse(composition(converse(composition(A,B)),C)) join composition(V_3,
% composition(A,B))
% Current number of equations to process: 1102
% Current number of ordered equations: 0
% Current number of rules: 1118
% New rule produced :
% [1223]
% composition(A,composition(composition(B,C),V_3)) join composition(V_4,
% composition(C,V_3)) <->
% composition(composition(composition(A,B),C),V_3) join composition(composition(V_4,C),V_3)
% Current number of equations to process: 1101
% Current number of ordered equations: 1
% Current number of rules: 1119
% New rule produced :
% [1224]
% composition(composition(composition(A,B),C),V_3) join composition(composition(V_4,C),V_3)
% <->
% composition(A,composition(composition(B,C),V_3)) join composition(V_4,
% composition(C,V_3))
% Current number of equations to process: 1101
% Current number of ordered equations: 0
% Current number of rules: 1120
% New rule produced :
% [1225]
% composition(composition(A,composition(B,C)),V_3) join composition(V_4,
% composition(C,V_3)) <->
% composition(composition(composition(A,B),C),V_3) join composition(composition(V_4,C),V_3)
% Current number of equations to process: 1100
% Current number of ordered equations: 1
% Current number of rules: 1121
% New rule produced :
% [1226]
% composition(composition(composition(A,B),C),V_3) join composition(composition(V_4,C),V_3)
% <->
% composition(composition(A,composition(B,C)),V_3) join composition(V_4,
% composition(C,V_3))
% Current number of equations to process: 1100
% Current number of ordered equations: 0
% Current number of rules: 1122
% New rule produced :
% [1227]
% composition(composition(A,B),composition(C,V_3)) join composition(V_4,
% composition(C,V_3)) <->
% composition(composition(A,composition(B,C)),V_3) join composition(composition(V_4,C),V_3)
% Current number of equations to process: 1099
% Current number of ordered equations: 1
% Current number of rules: 1123
% New rule produced :
% [1228]
% composition(composition(A,composition(B,C)),V_3) join composition(composition(V_4,C),V_3)
% <->
% composition(composition(A,B),composition(C,V_3)) join composition(V_4,
% composition(C,V_3))
% Current number of equations to process: 1099
% Current number of ordered equations: 0
% Current number of rules: 1124
% New rule produced :
% [1229]
% composition(A,converse(composition(B,converse(C)))) join composition(V_3,
% composition(C,
% converse(B))) <->
% composition(composition(A,C),converse(B)) join composition(composition(V_3,C),
% converse(B))
% Current number of equations to process: 1097
% Current number of ordered equations: 3
% Current number of rules: 1125
% New rule produced :
% [1230]
% composition(composition(A,B),converse(C)) join composition(composition(V_3,B),
% converse(C)) <->
% composition(A,composition(B,converse(C))) join composition(V_3,converse(
% composition(C,
% converse(B))))
% Current number of equations to process: 1097
% Current number of ordered equations: 2
% Current number of rules: 1126
% New rule produced :
% [1231]
% composition(A,composition(B,converse(C))) join composition(V_3,converse(
% composition(C,
% converse(B))))
% <->
% composition(composition(A,B),converse(C)) join composition(composition(V_3,B),
% converse(C))
% Current number of equations to process: 1097
% Current number of ordered equations: 1
% Current number of rules: 1127
% New rule produced :
% [1232]
% composition(composition(A,C),converse(B)) join composition(composition(V_3,C),
% converse(B)) <->
% composition(A,converse(composition(B,converse(C)))) join composition(V_3,
% composition(C,
% converse(B)))
% Current number of equations to process: 1097
% Current number of ordered equations: 0
% Current number of rules: 1128
% New rule produced :
% [1233]
% composition(composition(A,converse(C)),B) join composition(composition(V_3,
% converse(C)),B)
% <->
% composition(A,converse(composition(converse(B),C))) join composition(V_3,
% composition(
% converse(C),B))
% Current number of equations to process: 1095
% Current number of ordered equations: 3
% Current number of rules: 1129
% New rule produced :
% [1234]
% composition(A,converse(composition(converse(B),C))) join composition(V_3,
% composition(
% converse(C),B)) <->
% composition(composition(A,converse(C)),B) join composition(composition(V_3,
% converse(C)),B)
% Current number of equations to process: 1095
% Current number of ordered equations: 2
% Current number of rules: 1130
% New rule produced :
% [1235]
% composition(A,composition(converse(B),C)) join composition(V_3,converse(
% composition(
% converse(C),B)))
% <->
% composition(composition(A,converse(B)),C) join composition(composition(V_3,
% converse(B)),C)
% Current number of equations to process: 1095
% Current number of ordered equations: 1
% Current number of rules: 1131
% New rule produced :
% [1236]
% composition(composition(A,converse(B)),C) join composition(composition(V_3,
% converse(B)),C)
% <->
% composition(A,composition(converse(B),C)) join composition(V_3,converse(
% composition(
% converse(C),B)))
% Current number of equations to process: 1095
% Current number of ordered equations: 0
% Current number of rules: 1132
% New rule produced :
% [1237]
% composition(converse(B),composition(converse(A),C)) join composition(V_3,
% composition(
% converse(A),C)) <->
% composition(converse(composition(A,B)),C) join composition(composition(V_3,
% converse(A)),C)
% Current number of equations to process: 1093
% Current number of ordered equations: 1
% Current number of rules: 1133
% New rule produced :
% [1238]
% composition(converse(composition(A,B)),C) join composition(composition(V_3,
% converse(A)),C)
% <->
% composition(converse(B),composition(converse(A),C)) join composition(V_3,
% composition(
% converse(A),C))
% Current number of equations to process: 1093
% Current number of ordered equations: 0
% Current number of rules: 1134
% New rule produced :
% [1239]
% composition(zero,C) join composition(A,composition(complement(composition(B,top)),C))
% <-> composition(composition(A,complement(composition(B,top))),C)
% Current number of equations to process: 1154
% Current number of ordered equations: 1
% Current number of rules: 1135
% New rule produced :
% [1240]
% composition(composition(A,complement(composition(B,top))),C) <->
% composition(zero,C) join composition(A,composition(complement(composition(B,top)),C))
% Current number of equations to process: 1154
% Current number of ordered equations: 0
% Current number of rules: 1136
% New rule produced :
% [1241]
% complement(complement(complement(A) join B) join C) join A <->
% complement(complement(B join C) join complement(A)) join complement(C)
% Current number of equations to process: 1218
% Current number of ordered equations: 2
% Current number of rules: 1137
% New rule produced :
% [1242]
% complement(complement(A join B) join complement(C)) join complement(A) <->
% complement(complement(complement(C) join B) join A) join C
% Current number of equations to process: 1218
% Current number of ordered equations: 0
% Current number of rules: 1138
% New rule produced :
% [1243]
% complement(complement(complement(A) join B) join complement(complement(C) join V_3)) join A join C
% -> top
% Current number of equations to process: 1216
% Current number of ordered equations: 1
% Current number of rules: 1139
% New rule produced :
% [1244]
% complement(complement(complement(A) join B) join complement(C join V_3)) join
% complement(C) join A -> top
% Current number of equations to process: 1216
% Current number of ordered equations: 0
% Current number of rules: 1140
% New rule produced :
% [1245]
% complement(complement(composition(converse(C),complement(composition(C,A))) join
% complement(B)) join complement(A)) join B -> A join B
% Current number of equations to process: 1213
% Current number of ordered equations: 0
% Current number of rules: 1141
% New rule produced :
% [1246]
% composition(converse(B),composition(A,C)) join composition(V_3,composition(A,C))
% <->
% composition(converse(composition(converse(A),B)),C) join composition(
% composition(V_3,A),C)
% Current number of equations to process: 1244
% Current number of ordered equations: 1
% Current number of rules: 1142
% New rule produced :
% [1247]
% composition(converse(composition(converse(A),B)),C) join composition(
% composition(V_3,A),C)
% <->
% composition(converse(B),composition(A,C)) join composition(V_3,composition(A,C))
% Current number of equations to process: 1244
% Current number of ordered equations: 0
% Current number of rules: 1143
% New rule produced :
% [1248]
% composition(composition(A,B),C) join composition(V_3,composition(composition(V_4,B),C))
% <->
% composition(composition(V_3,V_4),composition(B,C)) join composition(A,
% composition(B,C))
% Current number of equations to process: 1240
% Current number of ordered equations: 1
% Current number of rules: 1144
% New rule produced :
% [1249]
% composition(composition(V_3,V_4),composition(B,C)) join composition(A,
% composition(B,C)) <->
% composition(composition(A,B),C) join composition(V_3,composition(composition(V_4,B),C))
% Current number of equations to process: 1240
% Current number of ordered equations: 0
% Current number of rules: 1145
% New rule produced :
% [1250]
% composition(composition(A,B),C) join composition(V_3,composition(V_4,
% composition(B,C))) <->
% composition(composition(V_3,V_4),composition(B,C)) join composition(A,
% composition(B,C))
% Current number of equations to process: 1239
% Current number of ordered equations: 1
% Current number of rules: 1146
% New rule produced :
% [1251]
% composition(composition(V_3,V_4),composition(B,C)) join composition(A,
% composition(B,C)) <->
% composition(composition(A,B),C) join composition(V_3,composition(V_4,
% composition(B,C)))
% Current number of equations to process: 1239
% Current number of ordered equations: 0
% Current number of rules: 1147
% New rule produced :
% [1252]
% converse(complement(complement(complement(C) join B) join complement(A))) join
% converse(C) <->
% converse(complement(complement(complement(A) join B) join complement(C))) join
% converse(A)
% Current number of equations to process: 1238
% Current number of ordered equations: 0
% Current number of rules: 1148
% New rule produced :
% [1253]
% converse(composition(A,converse(composition(B,C)))) join composition(
% composition(V_3,C),
% converse(A)) <->
% composition(B,composition(C,converse(A))) join composition(V_3,composition(C,
% converse(A)))
% Current number of equations to process: 1236
% Current number of ordered equations: 3
% Current number of rules: 1149
% New rule produced :
% [1254]
% composition(B,composition(converse(A),C)) join composition(V_3,composition(
% converse(A),C))
% <->
% composition(converse(composition(A,converse(B))),C) join composition(
% composition(V_3,
% converse(A)),C)
% Current number of equations to process: 1236
% Current number of ordered equations: 2
% Current number of rules: 1150
% New rule produced :
% [1255]
% composition(B,composition(C,converse(A))) join composition(V_3,composition(C,
% converse(A)))
% <->
% converse(composition(A,converse(composition(B,C)))) join composition(
% composition(V_3,C),
% converse(A))
% Current number of equations to process: 1236
% Current number of ordered equations: 1
% Current number of rules: 1151
% New rule produced :
% [1256]
% composition(converse(composition(A,converse(B))),C) join composition(
% composition(V_3,
% converse(A)),C) <->
% composition(B,composition(converse(A),C)) join composition(V_3,composition(
% converse(A),C))
% Current number of equations to process: 1236
% Current number of ordered equations: 0
% Current number of rules: 1152
% New rule produced :
% [1257]
% composition(A,B) join complement(composition(complement(complement(A) join C),B))
% -> top
% Current number of equations to process: 1450
% Current number of ordered equations: 0
% Current number of rules: 1153
% New rule produced :
% [1258]
% composition(complement(complement(A) join B),C) join composition(complement(
% A join B),C)
% -> composition(complement(B),C)
% Rule
% [83]
% composition(complement(complement(A) join complement(C)),B) join composition(
% complement(
% complement(A) join C),B)
% -> composition(A,B) collapsed.
% Current number of equations to process: 1458
% Current number of ordered equations: 0
% Current number of rules: 1153
% New rule produced :
% [1259]
% converse(complement(A)) join complement(complement(complement(B) join C) join
% complement(converse(A))) join B ->
% top
% Current number of equations to process: 1484
% Current number of ordered equations: 1
% Current number of rules: 1154
% New rule produced :
% [1260]
% converse(A) join complement(complement(complement(B) join C) join complement(
% converse(
% complement(A)))) join B
% -> top
% Current number of equations to process: 1484
% Current number of ordered equations: 0
% Current number of rules: 1155
% New rule produced :
% [1261]
% converse(complement(A)) join complement(complement(converse(A) join B) join
% complement(complement(C) join V_3)) join C
% -> top
% Current number of equations to process: 1480
% Current number of ordered equations: 1
% Current number of rules: 1156
% New rule produced :
% [1262]
% converse(A) join complement(complement(converse(complement(A)) join B) join
% complement(complement(C) join V_3)) join C -> top
% Current number of equations to process: 1480
% Current number of ordered equations: 0
% Current number of rules: 1157
% New rule produced :
% [1263]
% complement(complement(composition(C,complement(composition(converse(C),A))) join
% complement(B)) join complement(A)) join B -> A join B
% Current number of equations to process: 1479
% Current number of ordered equations: 0
% Current number of rules: 1158
% New rule produced :
% [1264]
% one join complement(complement(composition(converse(A),complement(A)) join
% composition(converse(B),complement(B))) join
% complement(one)) -> one
% Current number of equations to process: 1478
% Current number of ordered equations: 0
% Current number of rules: 1159
% New rule produced :
% [1265]
% complement(complement(complement(composition(converse(C),complement(composition(C,B)))) join
% complement(A)) join complement(B)) join A -> A join B
% Current number of equations to process: 1476
% Current number of ordered equations: 0
% Current number of rules: 1160
% New rule produced :
% [1266]
% complement(complement(complement(complement(A) join B) join C) join complement(
% A join V_3)) join
% complement(A) join B -> top
% Current number of equations to process: 1475
% Current number of ordered equations: 0
% Current number of rules: 1161
% New rule produced :
% [1267]
% converse(composition(complement(complement(A) join complement(C)),B)) join
% converse(composition(complement(complement(A) join C),B)) ->
% converse(composition(A,B))
% Current number of equations to process: 1474
% Current number of ordered equations: 0
% Current number of rules: 1162
% New rule produced :
% [1268]
% complement(complement(composition(converse(A),complement(composition(A,
% complement(B)))) join C) join B) join
% complement(B join C) -> complement(B)
% Current number of equations to process: 1473
% Current number of ordered equations: 0
% Current number of rules: 1163
% New rule produced :
% [1269]
% complement(complement(composition(A,complement(composition(converse(A),B))) join C) join
% complement(B)) join complement(complement(B) join C) -> B
% Current number of equations to process: 1470
% Current number of ordered equations: 0
% Current number of rules: 1164
% New rule produced :
% [1270]
% composition(converse(A),complement(composition(composition(A,B),composition(C,V_3)))) join
% complement(composition(composition(B,C),V_3)) ->
% complement(composition(composition(B,C),V_3))
% Current number of equations to process: 1495
% Current number of ordered equations: 0
% Current number of rules: 1165
% New rule produced :
% [1271]
% composition(converse(A),complement(composition(composition(composition(A,B),C),V_3))) join
% complement(composition(composition(B,C),V_3)) ->
% complement(composition(composition(B,C),V_3))
% Current number of equations to process: 1494
% Current number of ordered equations: 0
% Current number of rules: 1166
% New rule produced :
% [1272]
% composition(converse(A),complement(composition(composition(A,composition(B,C)),V_3))) join
% complement(composition(B,composition(C,V_3))) ->
% complement(composition(B,composition(C,V_3)))
% Current number of equations to process: 1493
% Current number of ordered equations: 0
% Current number of rules: 1167
% New rule produced :
% [1273]
% composition(converse(A),complement(composition(composition(composition(A,B),C),V_3))) join
% complement(composition(B,composition(C,V_3))) ->
% complement(composition(B,composition(C,V_3)))
% Current number of equations to process: 1492
% Current number of ordered equations: 0
% Current number of rules: 1168
% New rule produced :
% [1274]
% composition(A,complement(composition(composition(converse(A),B),composition(C,V_3)))) join
% complement(composition(composition(B,C),V_3)) ->
% complement(composition(composition(B,C),V_3))
% Current number of equations to process: 1491
% Current number of ordered equations: 0
% Current number of rules: 1169
% New rule produced :
% [1275]
% composition(A,complement(composition(composition(composition(converse(A),B),C),V_3))) join
% complement(composition(composition(B,C),V_3)) ->
% complement(composition(composition(B,C),V_3))
% Current number of equations to process: 1490
% Current number of ordered equations: 0
% Current number of rules: 1170
% New rule produced :
% [1276]
% composition(A,complement(composition(composition(converse(A),composition(B,C)),V_3))) join
% complement(composition(B,composition(C,V_3))) ->
% complement(composition(B,composition(C,V_3)))
% Current number of equations to process: 1489
% Current number of ordered equations: 0
% Current number of rules: 1171
% New rule produced :
% [1277]
% composition(A,complement(composition(composition(composition(converse(A),B),C),V_3))) join
% complement(composition(B,composition(C,V_3))) ->
% complement(composition(B,composition(C,V_3)))
% Current number of equations to process: 1488
% Current number of ordered equations: 0
% Current number of rules: 1172
% New rule produced :
% [1278]
% converse(composition(converse(composition(A,converse(B))),complement(
% composition(A,
% converse(composition(C,B)))))) join
% converse(complement(converse(C))) -> converse(complement(converse(C)))
% Current number of equations to process: 1487
% Current number of ordered equations: 0
% Current number of rules: 1173
% New rule produced :
% [1279]
% converse(complement(complement(composition(converse(A),complement(A)) join B) join
% complement(one))) join converse(complement(complement(one) join B))
% -> converse(one)
% Current number of equations to process: 1482
% Current number of ordered equations: 0
% Current number of rules: 1174
% New rule produced :
% [1280]
% composition(composition(A,B),complement(composition(composition(converse(B),
% composition(converse(A),C)),V_3))) join
% complement(composition(C,V_3)) -> complement(composition(C,V_3))
% Current number of equations to process: 1481
% Current number of ordered equations: 0
% Current number of rules: 1175
% New rule produced :
% [1281]
% composition(composition(converse(V_3),complement(composition(composition(V_3,A),B))),C) join
% composition(complement(composition(A,B)),C) ->
% composition(complement(composition(A,B)),C)
% Current number of equations to process: 1476
% Current number of ordered equations: 0
% Current number of rules: 1176
% New rule produced :
% [1282]
% composition(composition(A,converse(B)),complement(composition(composition(
% composition(B,
% converse(A)),C),V_3))) join
% complement(composition(C,V_3)) -> complement(composition(C,V_3))
% Current number of equations to process: 1475
% Current number of ordered equations: 0
% Current number of rules: 1177
% New rule produced :
% [1283]
% composition(composition(converse(A),B),complement(composition(composition(
% composition(
% converse(B),A),C),V_3))) join
% complement(composition(C,V_3)) -> complement(composition(C,V_3))
% Current number of equations to process: 1474
% Current number of ordered equations: 0
% Current number of rules: 1178
% New rule produced :
% [1284]
% composition(converse(A),complement(composition(A,composition(composition(B,C),V_3)))) join
% complement(composition(B,composition(C,V_3))) ->
% complement(composition(B,composition(C,V_3)))
% Current number of equations to process: 1472
% Current number of ordered equations: 0
% Current number of rules: 1179
% New rule produced :
% [1285]
% composition(converse(A),complement(composition(A,composition(B,composition(C,V_3))))) join
% complement(composition(composition(B,C),V_3)) ->
% complement(composition(composition(B,C),V_3))
% Current number of equations to process: 1471
% Current number of ordered equations: 0
% Current number of rules: 1180
% New rule produced :
% [1286]
% composition(composition(composition(A,B),complement(composition(converse(B),
% composition(converse(A),C)))),V_3) join
% composition(complement(C),V_3) -> composition(complement(C),V_3)
% Current number of equations to process: 1468
% Current number of ordered equations: 0
% Current number of rules: 1181
% New rule produced :
% [1287]
% composition(composition(composition(converse(A),complement(composition(A,B))),C),V_3) join
% composition(complement(B),composition(C,V_3)) ->
% composition(complement(B),composition(C,V_3))
% Current number of equations to process: 1465
% Current number of ordered equations: 1
% Current number of rules: 1182
% New rule produced :
% [1288]
% composition(composition(converse(A),complement(composition(A,B))),composition(C,V_3)) join
% composition(composition(complement(B),C),V_3) ->
% composition(complement(B),composition(C,V_3))
% Current number of equations to process: 1465
% Current number of ordered equations: 0
% Current number of rules: 1183
% New rule produced :
% [1289]
% composition(composition(composition(converse(V_3),complement(composition(V_3,A))),B),C) join
% composition(composition(complement(A),B),C) ->
% composition(composition(complement(A),B),C)
% Current number of equations to process: 1464
% Current number of ordered equations: 0
% Current number of rules: 1184
% New rule produced :
% [1290]
% composition(composition(composition(A,converse(B)),complement(composition(
% composition(B,
% converse(A)),C))),V_3) join
% composition(complement(C),V_3) -> composition(complement(C),V_3)
% Current number of equations to process: 1463
% Current number of ordered equations: 0
% Current number of rules: 1185
% New rule produced :
% [1291]
% composition(composition(composition(converse(A),B),complement(composition(
% composition(
% converse(B),A),C))),V_3) join
% composition(complement(C),V_3) -> composition(complement(C),V_3)
% Current number of equations to process: 1462
% Current number of ordered equations: 0
% Current number of rules: 1186
% New rule produced :
% [1292]
% composition(composition(converse(A),composition(complement(composition(A,B)),C)),V_3) join
% composition(complement(B),composition(C,V_3)) ->
% composition(complement(B),composition(C,V_3))
% Current number of equations to process: 1461
% Current number of ordered equations: 0
% Current number of rules: 1187
% New rule produced :
% [1293]
% complement(complement(complement(A) join complement(C)) join complement(B)) join A join C
% <->
% complement(complement(complement(A) join complement(B)) join complement(C)) join A join B
% Current number of equations to process: 1458
% Current number of ordered equations: 0
% Current number of rules: 1188
% New rule produced :
% [1294]
% composition(composition(A,converse(C)),converse(B)) join composition(
% composition(V_3,
% converse(C)),
% converse(B)) <->
% composition(A,converse(composition(B,C))) join composition(V_3,converse(
% composition(B,C)))
% Current number of equations to process: 1456
% Current number of ordered equations: 3
% Current number of rules: 1189
% New rule produced :
% [1295]
% composition(composition(A,converse(C)),converse(B)) join composition(
% composition(A,
% converse(C)),
% converse(V_3)) <->
% composition(A,converse(composition(B,C))) join composition(A,converse(
% composition(V_3,C)))
% Current number of equations to process: 1456
% Current number of ordered equations: 2
% Current number of rules: 1190
% New rule produced :
% [1296]
% composition(A,converse(composition(B,C))) join composition(V_3,converse(
% composition(B,C)))
% <->
% composition(composition(A,converse(C)),converse(B)) join composition(
% composition(V_3,
% converse(C)),
% converse(B))
% Current number of equations to process: 1456
% Current number of ordered equations: 1
% Current number of rules: 1191
% New rule produced :
% [1297]
% composition(A,converse(composition(B,C))) join composition(A,converse(
% composition(V_3,C)))
% <->
% composition(composition(A,converse(C)),converse(B)) join composition(
% composition(A,
% converse(C)),
% converse(V_3))
% Current number of equations to process: 1456
% Current number of ordered equations: 0
% Current number of rules: 1192
% New rule produced :
% [1298]
% composition(converse(A),composition(converse(B),C)) join composition(
% converse(V_3),
% composition(
% converse(B),C)) <->
% composition(converse(composition(B,A)),C) join composition(converse(composition(B,V_3)),C)
% Current number of equations to process: 1453
% Current number of ordered equations: 1
% Current number of rules: 1193
% New rule produced :
% [1299]
% composition(converse(composition(B,A)),C) join composition(converse(composition(B,V_3)),C)
% <->
% composition(converse(A),composition(converse(B),C)) join composition(
% converse(V_3),
% composition(
% converse(B),C))
% Current number of equations to process: 1453
% Current number of ordered equations: 0
% Current number of rules: 1194
% New rule produced :
% [1300]
% composition(composition(A,composition(B,C)),V_3) join composition(composition(A,
% composition(B,V_4)),V_3)
% <->
% composition(A,composition(B,composition(C,V_3))) join composition(A,composition(B,
% composition(V_4,V_3)))
% Current number of equations to process: 1451
% Current number of ordered equations: 1
% Current number of rules: 1195
% New rule produced :
% [1301]
% composition(A,composition(B,composition(C,V_3))) join composition(A,composition(B,
% composition(V_4,V_3)))
% <->
% composition(composition(A,composition(B,C)),V_3) join composition(composition(A,
% composition(B,V_4)),V_3)
% Current number of equations to process: 1451
% Current number of ordered equations: 0
% Current number of rules: 1196
% New rule produced :
% [1302]
% composition(A,composition(B,composition(C,V_3))) join composition(A,composition(B,
% composition(V_4,V_3)))
% <->
% composition(composition(composition(A,B),C),V_3) join composition(composition(
% composition(A,B),V_4),V_3)
% Current number of equations to process: 1450
% Current number of ordered equations: 1
% Current number of rules: 1197
% New rule produced :
% [1303]
% composition(composition(composition(A,B),C),V_3) join composition(composition(
% composition(A,B),V_4),V_3)
% <->
% composition(A,composition(B,composition(C,V_3))) join composition(A,composition(B,
% composition(V_4,V_3)))
% Current number of equations to process: 1450
% Current number of ordered equations: 0
% Current number of rules: 1198
% New rule produced :
% [1304]
% composition(composition(A,B),composition(C,V_3)) join composition(composition(A,B),
% composition(V_4,V_3))
% <->
% composition(composition(A,composition(B,C)),V_3) join composition(composition(A,
% composition(B,V_4)),V_3)
% Current number of equations to process: 1449
% Current number of ordered equations: 1
% Current number of rules: 1199
% New rule produced :
% [1305]
% composition(composition(A,composition(B,C)),V_3) join composition(composition(A,
% composition(B,V_4)),V_3)
% <->
% composition(composition(A,B),composition(C,V_3)) join composition(composition(A,B),
% composition(V_4,V_3))
% Current number of equations to process: 1449
% Current number of ordered equations: 0
% Current number of rules: 1200
% New rule produced :
% [1306]
% converse(composition(converse(composition(A,composition(B,C))),complement(
% composition(A,
% composition(B,
% composition(C,V_3)))))) join
% converse(complement(V_3)) -> converse(complement(V_3))
% Current number of equations to process: 1422
% Current number of ordered equations: 0
% Current number of rules: 1201
% New rule produced :
% [1307]
% converse(composition(converse(composition(composition(A,B),C)),complement(
% composition(A,
% composition(
% composition(B,C),V_3))))) join
% converse(complement(V_3)) -> converse(complement(V_3))
% Current number of equations to process: 1421
% Current number of ordered equations: 0
% Current number of rules: 1202
% New rule produced :
% [1308]
% converse(composition(converse(composition(composition(A,B),C)),complement(
% composition(A,
% composition(B,
% composition(C,V_3)))))) join
% converse(complement(V_3)) -> converse(complement(V_3))
% Current number of equations to process: 1420
% Current number of ordered equations: 0
% Current number of rules: 1203
% New rule produced :
% [1309]
% converse(composition(converse(composition(A,composition(B,C))),complement(
% composition(
% composition(A,B),
% composition(C,V_3))))) join
% converse(complement(V_3)) -> converse(complement(V_3))
% Current number of equations to process: 1419
% Current number of ordered equations: 0
% Current number of rules: 1204
% New rule produced :
% [1310]
% composition(complement(A join B join C),V_3) join composition(A,V_3) join
% composition(B,V_3) join composition(C,V_3) -> composition(top,V_3)
% Current number of equations to process: 1416
% Current number of ordered equations: 0
% Current number of rules: 1205
% New rule produced :
% [1311]
% composition(complement(converse(A)),complement(composition(composition(A,B),C))) join
% complement(composition(B,C)) ->
% composition(top,complement(composition(composition(A,B),C))) join complement(
% composition(B,C))
% Current number of equations to process: 1414
% Current number of ordered equations: 0
% Current number of rules: 1206
% New rule produced :
% [1312]
% converse(A) join converse(B) join complement(complement(complement(C) join V_3) join
% complement(converse(complement(
% A join B)))) join C
% -> top
% Current number of equations to process: 1407
% Current number of ordered equations: 3
% Current number of rules: 1207
% New rule produced :
% [1313]
% converse(complement(A join B)) join complement(complement(converse(A) join
% converse(B)) join
% complement(complement(C) join V_3)) join C
% -> top
% Current number of equations to process: 1407
% Current number of ordered equations: 2
% Current number of rules: 1208
% New rule produced :
% [1314]
% converse(complement(A join B)) join converse(B) join complement(complement(
% complement(C) join V_3) join
% complement(
% converse(A))) join C
% -> top
% Current number of equations to process: 1407
% Current number of ordered equations: 1
% Current number of rules: 1209
% New rule produced :
% [1315]
% converse(A) join complement(complement(converse(complement(A join B)) join
% converse(B)) join complement(complement(C) join V_3)) join C
% -> top
% Current number of equations to process: 1407
% Current number of ordered equations: 0
% Current number of rules: 1210
% New rule produced :
% [1316]
% complement(complement(complement(composition(converse(C),complement(composition(C,B)))) join
% complement(A) join V_3) join complement(B)) join A ->
% A join B
% Current number of equations to process: 1406
% Current number of ordered equations: 0
% Current number of rules: 1211
% New rule produced :
% [1317]
% converse(composition(converse(A),complement(composition(composition(A,
% converse(B)),
% converse(C))))) join converse(
% complement(
% converse(
% composition(C,B))))
% -> converse(complement(converse(composition(C,B))))
% Current number of equations to process: 1393
% Current number of ordered equations: 0
% Current number of rules: 1212
% New rule produced :
% [1318]
% composition(converse(composition(converse(A),composition(converse(B),C))),
% complement(composition(converse(composition(B,A)),composition(C,V_3)))) join
% complement(V_3) -> complement(V_3)
% Current number of equations to process: 1389
% Current number of ordered equations: 2
% Current number of rules: 1213
% New rule produced :
% [1319]
% composition(converse(composition(A,converse(composition(B,C)))),complement(
% composition(A,
% composition(
% converse(C),
% composition(
% converse(B),V_3))))) join
% complement(V_3) -> complement(V_3)
% Current number of equations to process: 1389
% Current number of ordered equations: 1
% Current number of rules: 1214
% New rule produced :
% [1320]
% composition(converse(composition(converse(composition(A,B)),C)),complement(
% composition(
% converse(B),
% composition(
% converse(A),
% composition(C,V_3))))) join
% complement(V_3) -> complement(V_3)
% Current number of equations to process: 1389
% Current number of ordered equations: 0
% Current number of rules: 1215
% New rule produced :
% [1321]
% composition(converse(composition(composition(A,converse(B)),converse(C))),
% complement(composition(A,composition(converse(composition(C,B)),V_3)))) join
% complement(V_3) -> complement(V_3)
% Current number of equations to process: 1388
% Current number of ordered equations: 0
% Current number of rules: 1216
% New rule produced :
% [1322]
% composition(converse(composition(A,converse(composition(B,C)))),complement(
% composition(
% composition(A,
% converse(C)),
% composition(
% converse(B),V_3)))) join
% complement(V_3) -> complement(V_3)
% Current number of equations to process: 1387
% Current number of ordered equations: 0
% Current number of rules: 1217
% New rule produced :
% [1323]
% composition(converse(composition(converse(composition(A,B)),C)),complement(
% composition(
% converse(B),
% composition(
% composition(
% converse(A),C),V_3)))) join
% complement(V_3) -> complement(V_3)
% Current number of equations to process: 1386
% Current number of ordered equations: 0
% Current number of rules: 1218
% New rule produced :
% [1324]
% composition(composition(converse(composition(B,A)),C),V_3) join composition(
% composition(V_4,C),V_3)
% <->
% composition(converse(A),composition(converse(B),composition(C,V_3))) join
% composition(V_4,composition(C,V_3))
% Current number of equations to process: 1381
% Current number of ordered equations: 1
% Current number of rules: 1219
% New rule produced :
% [1325]
% composition(converse(A),composition(converse(B),composition(C,V_3))) join
% composition(V_4,composition(C,V_3)) <->
% composition(composition(converse(composition(B,A)),C),V_3) join composition(
% composition(V_4,C),V_3)
% Current number of equations to process: 1381
% Current number of ordered equations: 0
% Current number of rules: 1220
% New rule produced :
% [1326]
% composition(converse(composition(B,A)),composition(C,V_3)) join composition(V_4,
% composition(C,V_3))
% <->
% composition(composition(converse(A),composition(converse(B),C)),V_3) join
% composition(composition(V_4,C),V_3)
% Current number of equations to process: 1379
% Current number of ordered equations: 1
% Current number of rules: 1221
% New rule produced :
% [1327]
% composition(composition(converse(A),composition(converse(B),C)),V_3) join
% composition(composition(V_4,C),V_3) <->
% composition(converse(composition(B,A)),composition(C,V_3)) join composition(V_4,
% composition(C,V_3))
% Current number of equations to process: 1379
% Current number of ordered equations: 0
% Current number of rules: 1222
% New rule produced :
% [1328]
% composition(composition(A,B),composition(C,V_3)) join composition(composition(V_4,B),
% composition(C,V_3)) <->
% composition(A,composition(composition(B,C),V_3)) join composition(V_4,
% composition(composition(B,C),V_3))
% Current number of equations to process: 1376
% Current number of ordered equations: 1
% Current number of rules: 1223
% New rule produced :
% [1329]
% composition(A,composition(composition(B,C),V_3)) join composition(V_4,
% composition(composition(B,C),V_3))
% <->
% composition(composition(A,B),composition(C,V_3)) join composition(composition(V_4,B),
% composition(C,V_3))
% Current number of equations to process: 1376
% Current number of ordered equations: 0
% Current number of rules: 1224
% New rule produced :
% [1330]
% composition(A,composition(composition(B,C),V_3)) join composition(V_4,
% composition(composition(B,C),V_3))
% <->
% composition(composition(composition(A,B),C),V_3) join composition(composition(
% composition(V_4,B),C),V_3)
% Current number of equations to process: 1372
% Current number of ordered equations: 1
% Current number of rules: 1225
% New rule produced :
% [1331]
% composition(composition(composition(A,B),C),V_3) join composition(composition(
% composition(V_4,B),C),V_3)
% <->
% composition(A,composition(composition(B,C),V_3)) join composition(V_4,
% composition(composition(B,C),V_3))
% Current number of equations to process: 1372
% Current number of ordered equations: 0
% Current number of rules: 1226
% New rule produced :
% [1332]
% composition(composition(A,composition(B,C)),V_3) join composition(composition(V_4,
% composition(B,C)),V_3)
% <->
% composition(A,composition(B,composition(C,V_3))) join composition(V_4,
% composition(B,composition(C,V_3)))
% Current number of equations to process: 1369
% Current number of ordered equations: 1
% Current number of rules: 1227
% New rule produced :
% [1333]
% composition(A,composition(B,composition(C,V_3))) join composition(V_4,
% composition(B,composition(C,V_3)))
% <->
% composition(composition(A,composition(B,C)),V_3) join composition(composition(V_4,
% composition(B,C)),V_3)
% Current number of equations to process: 1369
% Current number of ordered equations: 0
% Current number of rules: 1228
% New rule produced :
% [1334]
% composition(A,composition(B,composition(C,V_3))) join composition(V_4,
% composition(B,composition(C,V_3)))
% <->
% composition(composition(composition(A,B),C),V_3) join composition(composition(
% composition(V_4,B),C),V_3)
% Current number of equations to process: 1366
% Current number of ordered equations: 1
% Current number of rules: 1229
% New rule produced :
% [1335]
% composition(composition(composition(A,B),C),V_3) join composition(composition(
% composition(V_4,B),C),V_3)
% <->
% composition(A,composition(B,composition(C,V_3))) join composition(V_4,
% composition(B,composition(C,V_3)))
% Current number of equations to process: 1366
% Current number of ordered equations: 0
% Current number of rules: 1230
% New rule produced :
% [1336]
% composition(composition(A,B),composition(C,V_3)) join composition(composition(V_4,B),
% composition(C,V_3)) <->
% composition(composition(A,composition(B,C)),V_3) join composition(composition(V_4,
% composition(B,C)),V_3)
% Current number of equations to process: 1360
% Current number of ordered equations: 1
% Current number of rules: 1231
% New rule produced :
% [1337]
% composition(composition(A,composition(B,C)),V_3) join composition(composition(V_4,
% composition(B,C)),V_3)
% <->
% composition(composition(A,B),composition(C,V_3)) join composition(composition(V_4,B),
% composition(C,V_3))
% Current number of equations to process: 1360
% Current number of ordered equations: 0
% Current number of rules: 1232
% New rule produced :
% [1338]
% complement(complement(complement(A) join B) join complement(C)) join A join B
% -> A join B join C
% Current number of equations to process: 1349
% Current number of ordered equations: 0
% Current number of rules: 1233
% New rule produced :
% [1339]
% converse(composition(converse(composition(A,B)),complement(composition(A,
% composition(
% composition(B,C),V_3))))) join
% converse(complement(composition(C,V_3))) ->
% converse(complement(composition(C,V_3)))
% Current number of equations to process: 1348
% Current number of ordered equations: 0
% Current number of rules: 1234
% New rule produced :
% [1340]
% converse(composition(converse(composition(A,B)),complement(composition(
% composition(A,
% composition(B,C)),V_3)))) join
% converse(complement(composition(C,V_3))) ->
% converse(complement(composition(C,V_3)))
% Current number of equations to process: 1347
% Current number of ordered equations: 0
% Current number of rules: 1235
% New rule produced :
% [1341]
% composition(converse(composition(A,composition(B,converse(C)))),complement(
% composition(A,
% composition(B,
% converse(
% composition(V_3,C)))))) join
% complement(converse(V_3)) -> complement(converse(V_3))
% Current number of equations to process: 1346
% Current number of ordered equations: 0
% Current number of rules: 1236
% New rule produced :
% [1342]
% composition(converse(A),composition(converse(B),C)) join composition(
% complement(converse(
% composition(B,A)) join V_3),C) join
% composition(V_3,C) -> composition(top,C)
% Current number of equations to process: 1344
% Current number of ordered equations: 0
% Current number of rules: 1237
% New rule produced :
% [1343]
% composition(top,composition(C,V_3)) <->
% composition(composition(complement(A join B),C),V_3) join composition(A,
% composition(C,V_3)) join
% composition(B,composition(C,V_3))
% Current number of equations to process: 1342
% Current number of ordered equations: 2
% Current number of rules: 1238
% New rule produced :
% [1344]
% composition(composition(A,B),C) join composition(complement(A join V_3),
% composition(B,C)) join composition(V_3,
% composition(B,C))
% -> composition(top,composition(B,C))
% Current number of equations to process: 1342
% Current number of ordered equations: 1
% Current number of rules: 1239
% New rule produced :
% [1345]
% composition(composition(complement(A join B),C),V_3) join composition(A,
% composition(C,V_3)) join
% composition(B,composition(C,V_3)) <-> composition(top,composition(C,V_3))
% Current number of equations to process: 1342
% Current number of ordered equations: 0
% Current number of rules: 1240
% New rule produced :
% [1346]
% composition(composition(complement(C join V_3),A),B) join composition(
% composition(C,A),B) join
% composition(composition(V_3,A),B) -> composition(composition(top,A),B)
% Current number of equations to process: 1340
% Current number of ordered equations: 0
% Current number of rules: 1241
% New rule produced :
% [1347]
% composition(complement(composition(converse(B),complement(composition(B,C))) join V_3),A) join
% composition(complement(C),A) join composition(V_3,A) -> composition(top,A)
% Current number of equations to process: 1333
% Current number of ordered equations: 0
% Current number of rules: 1242
% New rule produced :
% [1348]
% composition(composition(A,B),composition(C,V_3)) join composition(composition(V_4,B),
% composition(C,V_3)) <->
% composition(A,composition(composition(B,C),V_3)) join composition(V_4,
% composition(B,composition(C,V_3)))
% Current number of equations to process: 1331
% Current number of ordered equations: 3
% Current number of rules: 1243
% New rule produced :
% [1349]
% composition(composition(A,B),composition(C,V_3)) join composition(composition(V_4,B),
% composition(C,V_3)) <->
% composition(A,composition(B,composition(C,V_3))) join composition(V_4,
% composition(composition(B,C),V_3))
% Current number of equations to process: 1331
% Current number of ordered equations: 2
% Current number of rules: 1244
% New rule produced :
% [1350]
% composition(A,composition(composition(B,C),V_3)) join composition(V_4,
% composition(B,composition(C,V_3)))
% <->
% composition(composition(A,B),composition(C,V_3)) join composition(composition(V_4,B),
% composition(C,V_3))
% Current number of equations to process: 1331
% Current number of ordered equations: 1
% Current number of rules: 1245
% New rule produced :
% [1351]
% composition(A,composition(B,composition(C,V_3))) join composition(V_4,
% composition(composition(B,C),V_3))
% <->
% composition(composition(A,B),composition(C,V_3)) join composition(composition(V_4,B),
% composition(C,V_3))
% Current number of equations to process: 1331
% Current number of ordered equations: 0
% Current number of rules: 1246
% New rule produced :
% [1352]
% composition(A,composition(composition(B,C),V_3)) join composition(V_4,
% composition(B,composition(C,V_3)))
% <->
% composition(composition(A,composition(B,C)),V_3) join composition(composition(V_4,
% composition(B,C)),V_3)
% Current number of equations to process: 1328
% Current number of ordered equations: 3
% Current number of rules: 1247
% New rule produced :
% [1353]
% composition(composition(A,composition(B,C)),V_3) join composition(composition(V_4,
% composition(B,C)),V_3)
% <->
% composition(A,composition(composition(B,C),V_3)) join composition(V_4,
% composition(B,composition(C,V_3)))
% Current number of equations to process: 1328
% Current number of ordered equations: 2
% Current number of rules: 1248
% New rule produced :
% [1354]
% composition(composition(A,composition(B,C)),V_3) join composition(composition(V_4,
% composition(B,C)),V_3)
% <->
% composition(A,composition(B,composition(C,V_3))) join composition(V_4,
% composition(composition(B,C),V_3))
% Current number of equations to process: 1328
% Current number of ordered equations: 1
% Current number of rules: 1249
% New rule produced :
% [1355]
% composition(A,composition(B,composition(C,V_3))) join composition(V_4,
% composition(composition(B,C),V_3))
% <->
% composition(composition(A,composition(B,C)),V_3) join composition(composition(V_4,
% composition(B,C)),V_3)
% Current number of equations to process: 1328
% Current number of ordered equations: 0
% Current number of rules: 1250
% New rule produced :
% [1356]
% composition(composition(A,composition(B,C)),V_3) join composition(composition(V_4,
% composition(B,C)),V_3)
% <->
% composition(composition(composition(A,B),C),V_3) join composition(composition(
% composition(V_4,B),C),V_3)
% Current number of equations to process: 1327
% Current number of ordered equations: 1
% Current number of rules: 1251
% New rule produced :
% [1357]
% composition(composition(composition(A,B),C),V_3) join composition(composition(
% composition(V_4,B),C),V_3)
% <->
% composition(composition(A,composition(B,C)),V_3) join composition(composition(V_4,
% composition(B,C)),V_3)
% Current number of equations to process: 1327
% Current number of ordered equations: 0
% Current number of rules: 1252
% New rule produced :
% [1358]
% composition(composition(A,B),composition(C,V_3)) join composition(V_4,
% composition(composition(B,C),V_3))
% <->
% composition(composition(A,composition(B,C)),V_3) join composition(composition(V_4,
% composition(B,C)),V_3)
% Current number of equations to process: 1326
% Current number of ordered equations: 1
% Current number of rules: 1253
% New rule produced :
% [1359]
% composition(composition(A,composition(B,C)),V_3) join composition(composition(V_4,
% composition(B,C)),V_3)
% <->
% composition(composition(A,B),composition(C,V_3)) join composition(V_4,
% composition(composition(B,C),V_3))
% Current number of equations to process: 1326
% Current number of ordered equations: 0
% Current number of rules: 1254
% New rule produced :
% [1360]
% composition(composition(A,composition(B,C)),V_3) join composition(composition(V_4,
% composition(B,C)),V_3)
% <->
% composition(composition(composition(A,B),C),V_3) join composition(V_4,
% composition(composition(B,C),V_3))
% Current number of equations to process: 1324
% Current number of ordered equations: 1
% Current number of rules: 1255
% New rule produced :
% [1361]
% composition(composition(composition(A,B),C),V_3) join composition(V_4,
% composition(composition(B,C),V_3))
% <->
% composition(composition(A,composition(B,C)),V_3) join composition(composition(V_4,
% composition(B,C)),V_3)
% Current number of equations to process: 1324
% Current number of ordered equations: 0
% Current number of rules: 1256
% New rule produced :
% [1362]
% composition(composition(A,B),composition(C,V_3)) join composition(composition(V_4,B),
% composition(C,V_3)) <->
% composition(composition(A,composition(B,C)),V_3) join composition(V_4,
% composition(B,composition(C,V_3)))
% Current number of equations to process: 1323
% Current number of ordered equations: 1
% Current number of rules: 1257
% New rule produced :
% [1363]
% composition(composition(A,composition(B,C)),V_3) join composition(V_4,
% composition(B,composition(C,V_3)))
% <->
% composition(composition(A,B),composition(C,V_3)) join composition(composition(V_4,B),
% composition(C,V_3))
% Current number of equations to process: 1323
% Current number of ordered equations: 0
% Current number of rules: 1258
% New rule produced :
% [1364]
% composition(composition(A,B),composition(C,V_3)) join composition(composition(V_4,B),
% composition(C,V_3)) <->
% composition(composition(composition(A,B),C),V_3) join composition(V_4,
% composition(B,composition(C,V_3)))
% Current number of equations to process: 1322
% Current number of ordered equations: 1
% Current number of rules: 1259
% New rule produced :
% [1365]
% composition(composition(composition(A,B),C),V_3) join composition(V_4,
% composition(B,composition(C,V_3)))
% <->
% composition(composition(A,B),composition(C,V_3)) join composition(composition(V_4,B),
% composition(C,V_3))
% Current number of equations to process: 1322
% Current number of ordered equations: 0
% Current number of rules: 1260
% New rule produced :
% [1366]
% composition(composition(composition(A,composition(B,C)),V_3),V_4) join
% composition(composition(V_5,V_3),V_4) <->
% composition(A,composition(B,composition(C,composition(V_3,V_4)))) join
% composition(V_5,composition(V_3,V_4))
% Current number of equations to process: 1321
% Current number of ordered equations: 1
% Current number of rules: 1261
% New rule produced :
% [1367]
% composition(A,composition(B,composition(C,composition(V_3,V_4)))) join
% composition(V_5,composition(V_3,V_4)) <->
% composition(composition(composition(A,composition(B,C)),V_3),V_4) join
% composition(composition(V_5,V_3),V_4)
% Current number of equations to process: 1321
% Current number of ordered equations: 0
% Current number of rules: 1262
% New rule produced :
% [1368]
% composition(A,composition(composition(B,C),composition(V_3,V_4))) join
% composition(V_5,composition(V_3,V_4)) <->
% composition(composition(composition(composition(A,B),C),V_3),V_4) join
% composition(composition(V_5,V_3),V_4)
% Current number of equations to process: 1320
% Current number of ordered equations: 1
% Current number of rules: 1263
% New rule produced :
% [1369]
% composition(composition(composition(composition(A,B),C),V_3),V_4) join
% composition(composition(V_5,V_3),V_4) <->
% composition(A,composition(composition(B,C),composition(V_3,V_4))) join
% composition(V_5,composition(V_3,V_4))
% Current number of equations to process: 1320
% Current number of ordered equations: 0
% Current number of rules: 1264
% New rule produced :
% [1370]
% composition(composition(composition(composition(A,B),C),V_3),V_4) join
% composition(composition(V_5,V_3),V_4) <->
% composition(A,composition(B,composition(C,composition(V_3,V_4)))) join
% composition(V_5,composition(V_3,V_4))
% Current number of equations to process: 1319
% Current number of ordered equations: 1
% Current number of rules: 1265
% New rule produced :
% [1371]
% composition(A,composition(B,composition(C,composition(V_3,V_4)))) join
% composition(V_5,composition(V_3,V_4)) <->
% composition(composition(composition(composition(A,B),C),V_3),V_4) join
% composition(composition(V_5,V_3),V_4)
% Current number of equations to process: 1319
% Current number of ordered equations: 0
% Current number of rules: 1266
% New rule produced :
% [1372]
% composition(composition(A,B),composition(C,composition(V_3,V_4))) join
% composition(V_5,composition(V_3,V_4)) <->
% composition(composition(composition(A,composition(B,C)),V_3),V_4) join
% composition(composition(V_5,V_3),V_4)
% Current number of equations to process: 1318
% Current number of ordered equations: 1
% Current number of rules: 1267
% New rule produced :
% [1373]
% composition(composition(composition(A,composition(B,C)),V_3),V_4) join
% composition(composition(V_5,V_3),V_4) <->
% composition(composition(A,B),composition(C,composition(V_3,V_4))) join
% composition(V_5,composition(V_3,V_4))
% Current number of equations to process: 1318
% Current number of ordered equations: 0
% Current number of rules: 1268
% New rule produced :
% [1374]
% composition(top,composition(A,B)) <->
% composition(composition(complement(C join V_3),A),B) join composition(
% composition(C,A),B) join
% composition(V_3,composition(A,B))
% Current number of equations to process: 1314
% Current number of ordered equations: 3
% Current number of rules: 1269
% New rule produced :
% [1375]
% composition(composition(C,A),B) join composition(composition(V_3,A),B) join
% composition(complement(C join V_3),composition(A,B)) ->
% composition(top,composition(A,B))
% Current number of equations to process: 1314
% Current number of ordered equations: 2
% Current number of rules: 1270
% New rule produced :
% [1376]
% composition(composition(complement(C join V_3),A),B) join composition(
% composition(C,A),B) join
% composition(V_3,composition(A,B)) <-> composition(top,composition(A,B))
% Current number of equations to process: 1314
% Current number of ordered equations: 0
% Current number of rules: 1271
% New rule produced :
% [1377]
% composition(A,composition(composition(B,C),V_3)) join composition(V_4,
% composition(composition(B,C),V_3))
% <->
% composition(composition(composition(A,B),C),V_3) join composition(composition(V_4,
% composition(B,C)),V_3)
% Current number of equations to process: 1312
% Current number of ordered equations: 3
% Current number of rules: 1272
% New rule produced :
% [1378]
% composition(A,composition(B,composition(C,V_3))) join composition(V_4,
% composition(B,composition(C,V_3)))
% <->
% composition(composition(composition(A,B),C),V_3) join composition(composition(V_4,B),
% composition(C,V_3))
% Current number of equations to process: 1312
% Current number of ordered equations: 2
% Current number of rules: 1273
% New rule produced :
% [1379]
% composition(composition(composition(A,B),C),V_3) join composition(composition(V_4,B),
% composition(C,V_3)) <->
% composition(A,composition(B,composition(C,V_3))) join composition(V_4,
% composition(B,composition(C,V_3)))
% Current number of equations to process: 1312
% Current number of ordered equations: 1
% Current number of rules: 1274
% New rule produced :
% [1380]
% composition(composition(composition(A,B),C),V_3) join composition(composition(V_4,
% composition(B,C)),V_3)
% <->
% composition(A,composition(composition(B,C),V_3)) join composition(V_4,
% composition(composition(B,C),V_3))
% Current number of equations to process: 1312
% Current number of ordered equations: 0
% Current number of rules: 1275
% New rule produced :
% [1381]
% composition(composition(A,B),composition(C,V_3)) join composition(V_4,
% composition(composition(B,C),V_3))
% <->
% composition(A,composition(B,composition(C,V_3))) join composition(V_4,
% composition(B,composition(C,V_3)))
% Current number of equations to process: 1309
% Current number of ordered equations: 1
% Current number of rules: 1276
% New rule produced :
% [1382]
% composition(A,composition(B,composition(C,V_3))) join composition(V_4,
% composition(B,composition(C,V_3)))
% <->
% composition(composition(A,B),composition(C,V_3)) join composition(V_4,
% composition(composition(B,C),V_3))
% Current number of equations to process: 1309
% Current number of ordered equations: 0
% Current number of rules: 1277
% New rule produced :
% [1383]
% composition(A,composition(composition(B,C),V_3)) join composition(V_4,
% composition(composition(B,C),V_3))
% <->
% composition(composition(A,composition(B,C)),V_3) join composition(V_4,
% composition(B,composition(C,V_3)))
% Current number of equations to process: 1307
% Current number of ordered equations: 3
% Current number of rules: 1278
% New rule produced :
% [1384]
% composition(composition(A,composition(B,C)),V_3) join composition(V_4,
% composition(B,composition(C,V_3)))
% <->
% composition(A,composition(composition(B,C),V_3)) join composition(V_4,
% composition(composition(B,C),V_3))
% Current number of equations to process: 1307
% Current number of ordered equations: 2
% Current number of rules: 1279
% New rule produced :
% [1385]
% composition(composition(A,composition(B,C)),composition(V_3,V_4)) join
% composition(V_5,composition(V_3,V_4)) <->
% composition(composition(A,composition(B,composition(C,V_3))),V_4) join
% composition(composition(V_5,V_3),V_4)
% Current number of equations to process: 1307
% Current number of ordered equations: 1
% Current number of rules: 1280
% New rule produced :
% [1386]
% composition(composition(A,composition(B,composition(C,V_3))),V_4) join
% composition(composition(V_5,V_3),V_4) <->
% composition(composition(A,composition(B,C)),composition(V_3,V_4)) join
% composition(V_5,composition(V_3,V_4))
% Current number of equations to process: 1307
% Current number of ordered equations: 0
% Current number of rules: 1281
% New rule produced :
% [1387]
% composition(composition(A,composition(composition(B,C),V_3)),V_4) join
% composition(composition(V_5,V_3),V_4) <->
% composition(composition(composition(A,B),C),composition(V_3,V_4)) join
% composition(V_5,composition(V_3,V_4))
% Current number of equations to process: 1305
% Current number of ordered equations: 1
% Current number of rules: 1282
% New rule produced :
% [1388]
% composition(composition(composition(A,B),C),composition(V_3,V_4)) join
% composition(V_5,composition(V_3,V_4)) <->
% composition(composition(A,composition(composition(B,C),V_3)),V_4) join
% composition(composition(V_5,V_3),V_4)
% Current number of equations to process: 1305
% Current number of ordered equations: 0
% Current number of rules: 1283
% New rule produced :
% [1389]
% composition(composition(A,composition(B,composition(C,V_3))),V_4) join
% composition(composition(V_5,V_3),V_4) <->
% composition(composition(composition(A,B),C),composition(V_3,V_4)) join
% composition(V_5,composition(V_3,V_4))
% Current number of equations to process: 1303
% Current number of ordered equations: 1
% Current number of rules: 1284
% New rule produced :
% [1390]
% composition(composition(composition(A,B),C),composition(V_3,V_4)) join
% composition(V_5,composition(V_3,V_4)) <->
% composition(composition(A,composition(B,composition(C,V_3))),V_4) join
% composition(composition(V_5,V_3),V_4)
% Current number of equations to process: 1303
% Current number of ordered equations: 0
% Current number of rules: 1285
% New rule produced :
% [1391]
% composition(composition(A,B),composition(C,V_3)) join composition(composition(V_4,
% composition(B,C)),V_3)
% <->
% composition(A,composition(composition(B,C),V_3)) join composition(V_4,
% composition(composition(B,C),V_3))
% Current number of equations to process: 1301
% Current number of ordered equations: 3
% Current number of rules: 1286
% New rule produced :
% [1392]
% composition(A,composition(composition(B,C),V_3)) join composition(V_4,
% composition(composition(B,C),V_3))
% <->
% composition(composition(A,B),composition(C,V_3)) join composition(composition(V_4,
% composition(B,C)),V_3)
% Current number of equations to process: 1301
% Current number of ordered equations: 2
% Current number of rules: 1287
% New rule produced :
% [1393]
% composition(composition(A,composition(B,C)),composition(V_3,V_4)) join
% composition(V_5,composition(V_3,V_4)) <->
% composition(composition(composition(A,B),composition(C,V_3)),V_4) join
% composition(composition(V_5,V_3),V_4)
% Current number of equations to process: 1301
% Current number of ordered equations: 1
% Current number of rules: 1288
% New rule produced :
% [1394]
% composition(composition(composition(A,B),composition(C,V_3)),V_4) join
% composition(composition(V_5,V_3),V_4) <->
% composition(composition(A,composition(B,C)),composition(V_3,V_4)) join
% composition(V_5,composition(V_3,V_4))
% Current number of equations to process: 1301
% Current number of ordered equations: 0
% Current number of rules: 1289
% New rule produced :
% [1395]
% composition(composition(A,composition(B,C)),V_3) join composition(composition(V_4,B),
% composition(C,V_3)) <->
% composition(A,composition(B,composition(C,V_3))) join composition(V_4,
% composition(B,composition(C,V_3)))
% Current number of equations to process: 1300
% Current number of ordered equations: 1
% Current number of rules: 1290
% New rule produced :
% [1396]
% composition(A,composition(B,composition(C,V_3))) join composition(V_4,
% composition(B,composition(C,V_3)))
% <->
% composition(composition(A,composition(B,C)),V_3) join composition(composition(V_4,B),
% composition(C,V_3))
% Current number of equations to process: 1300
% Current number of ordered equations: 0
% Current number of rules: 1291
% New rule produced :
% [1397]
% complement(complement(composition(converse(C),complement(C)) join complement(B) join A) join
% complement(one)) join B ->
% one join complement(complement(complement(one) join A) join complement(B))
% Current number of equations to process: 1298
% Current number of ordered equations: 0
% Current number of rules: 1292
% New rule produced :
% [1398]
% composition(complement(complement(complement(C) join B) join complement(A)),V_3) join
% composition(C,V_3) <->
% composition(complement(complement(complement(A) join B) join complement(C)),V_3) join
% composition(A,V_3)
% Current number of equations to process: 1297
% Current number of ordered equations: 0
% Current number of rules: 1293
% New rule produced :
% [1399]
% complement(complement(complement(B) join complement(C)) join complement(
% composition(
% converse(A),
% complement(
% composition(A,B))))) join C
% -> composition(converse(A),complement(composition(A,B))) join C
% Current number of equations to process: 1295
% Current number of ordered equations: 0
% Current number of rules: 1294
% New rule produced :
% [1400]
% complement(complement(composition(converse(composition(C,V_3)),complement(
% composition(C,
% composition(V_3,A)))) join
% complement(B)) join complement(A)) join B -> A join B
% Current number of equations to process: 1294
% Current number of ordered equations: 0
% Current number of rules: 1295
% New rule produced :
% [1401]
% composition(composition(complement(complement(A) join complement(B)),C),V_3) join
% composition(complement(complement(A) join B),composition(C,V_3)) ->
% composition(A,composition(C,V_3))
% Current number of equations to process: 1292
% Current number of ordered equations: 1
% Current number of rules: 1296
% New rule produced :
% [1402]
% composition(composition(complement(complement(A) join B),C),V_3) join
% composition(complement(complement(A) join complement(B)),composition(C,V_3))
% -> composition(A,composition(C,V_3))
% Current number of equations to process: 1292
% Current number of ordered equations: 0
% Current number of rules: 1297
% New rule produced :
% [1403]
% composition(composition(complement(complement(A) join complement(V_3)),B),C) join
% composition(composition(complement(complement(A) join V_3),B),C) ->
% composition(composition(A,B),C)
% Current number of equations to process: 1291
% Current number of ordered equations: 0
% Current number of rules: 1298
% New rule produced :
% [1404]
% complement(complement(composition(converse(A),complement(composition(A,B))) join
% composition(converse(C),complement(composition(C,B)))) join
% complement(B)) join B -> B
% Current number of equations to process: 1290
% Current number of ordered equations: 0
% Current number of rules: 1299
% New rule produced :
% [1405]
% complement(composition(converse(C),complement(composition(C,A))) join
% complement(B)) join complement(A) -> complement(A) join B
% Rule
% [1245]
% complement(complement(composition(converse(C),complement(composition(C,A))) join
% complement(B)) join complement(A)) join B -> A join B
% collapsed.
% Current number of equations to process: 1401
% Current number of ordered equations: 0
% Current number of rules: 1299
% New rule produced :
% [1406] complement(complement(A) join complement(B)) join B -> B
% Rule
% [86] complement(complement(composition(A,B)) join complement(C)) join C -> C
% collapsed.
% Rule
% [1264]
% one join complement(complement(composition(converse(A),complement(A)) join
% composition(converse(B),complement(B))) join
% complement(one)) -> one collapsed.
% Rule
% [1404]
% complement(complement(composition(converse(A),complement(composition(A,B))) join
% composition(converse(C),complement(composition(C,B)))) join
% complement(B)) join B -> B collapsed.
% Current number of equations to process: 1425
% Current number of ordered equations: 0
% Current number of rules: 1297
% New rule produced :
% [1407]
% complement(complement(converse(composition(one,top))) join complement(A)) ->
% A
% Current number of equations to process: 1437
% Current number of ordered equations: 0
% Current number of rules: 1298
% New rule produced :
% [1408] composition(composition(top,converse(A)),A) -> composition(top,A)
% Current number of equations to process: 1446
% Current number of ordered equations: 0
% Current number of rules: 1299
% New rule produced :
% [1409]
% composition(top,A) join complement(complement(composition(B,C)) join
% complement(composition(V_3,A))) ->
% composition(top,A)
% Current number of equations to process: 1449
% Current number of ordered equations: 0
% Current number of rules: 1300
% New rule produced :
% [1410]
% complement(complement(composition(converse(A),complement(A))) join complement(
% composition(B,C))) join
% complement(one) -> complement(one)
% Current number of equations to process: 1448
% Current number of ordered equations: 0
% Current number of rules: 1301
% New rule produced :
% [1411]
% composition(complement(complement(composition(top,converse(A))) join
% complement(B)),A) join complement(composition(B,A)) ->
% top
% Current number of equations to process: 1446
% Current number of ordered equations: 0
% Current number of rules: 1302
% New rule produced :
% [1412]
% composition(complement(complement(composition(top,converse(A))) join
% complement(B)),A) join composition(complement(B),A) ->
% composition(top,A)
% Current number of equations to process: 1445
% Current number of ordered equations: 0
% Current number of rules: 1303
% New rule produced :
% [1413]
% composition(complement(complement(composition(top,converse(A))) join B),A) join
% composition(complement(B),A) ->
% composition(complement(complement(composition(top,converse(A))) join B),A)
% Current number of equations to process: 1440
% Current number of ordered equations: 0
% Current number of rules: 1304
% New rule produced :
% [1414]
% composition(top,A) join complement(complement(composition(B,A) join C) join
% complement(composition(V_3,V_4))) join C
% -> composition(top,A) join C
% Current number of equations to process: 1439
% Current number of ordered equations: 0
% Current number of rules: 1305
% New rule produced :
% [1415]
% complement(complement(composition(converse(A),complement(A)) join B) join
% complement(composition(C,V_3))) join complement(one) join B ->
% complement(one) join B
% Current number of equations to process: 1437
% Current number of ordered equations: 0
% Current number of rules: 1306
% New rule produced :
% [1416]
% composition(complement(complement(composition(top,A)) join complement(B)),
% converse(A)) join composition(B,converse(A)) ->
% composition(complement(complement(composition(top,A)) join complement(B)),
% converse(A))
% Current number of equations to process: 1434
% Current number of ordered equations: 0
% Current number of rules: 1307
% New rule produced :
% [1417]
% composition(composition(converse(A),complement(composition(A,composition(top,
% converse(B))))),B)
% -> composition(zero,B)
% Current number of equations to process: 1450
% Current number of ordered equations: 0
% Current number of rules: 1308
% New rule produced :
% [1418]
% composition(A,top) join composition(A,composition(converse(A),top)) ->
% composition(A,composition(converse(A),top))
% Current number of equations to process: 1489
% Current number of ordered equations: 0
% Current number of rules: 1309
% New rule produced :
% [1419]
% composition(A,complement(complement(composition(converse(A),top)) join
% complement(B))) join complement(composition(A,B)) ->
% top
% Current number of equations to process: 1490
% Current number of ordered equations: 0
% Current number of rules: 1310
% New rule produced :
% [1420]
% composition(A,complement(complement(one) join complement(composition(
% converse(A),top)))) join A
% ->
% composition(A,complement(complement(one) join complement(composition(
% converse(A),top))))
% Current number of equations to process: 1488
% Current number of ordered equations: 0
% Current number of rules: 1311
% New rule produced :
% [1421]
% composition(A,complement(complement(composition(converse(A),top)) join B)) join
% composition(A,complement(B)) ->
% composition(A,complement(complement(composition(converse(A),top)) join B))
% Current number of equations to process: 1487
% Current number of ordered equations: 0
% Current number of rules: 1312
% New rule produced :
% [1422]
% composition(complement(complement(composition(top,converse(A))) join
% complement(B)),A) ->
% composition(complement(complement(converse(composition(A,top))) join
% complement(B)),A) join composition(B,A)
% Rule
% [87]
% composition(complement(complement(composition(top,converse(A))) join
% complement(B)),A) join composition(B,A) ->
% composition(complement(complement(composition(top,converse(A))) join
% complement(B)),A) collapsed.
% Rule
% [1411]
% composition(complement(complement(composition(top,converse(A))) join
% complement(B)),A) join complement(composition(B,A)) ->
% top collapsed.
% Rule
% [1412]
% composition(complement(complement(composition(top,converse(A))) join
% complement(B)),A) join composition(complement(B),A) ->
% composition(top,A) collapsed.
% Current number of equations to process: 1486
% Current number of ordered equations: 0
% Current number of rules: 1310
% New rule produced :
% [1423]
% composition(top,complement(complement(composition(converse(A),top)) join
% complement(B))) join composition(A,B) ->
% composition(top,complement(complement(composition(converse(A),top)) join
% complement(B)))
% Current number of equations to process: 1485
% Current number of ordered equations: 0
% Current number of rules: 1311
% New rule produced :
% [1424]
% composition(converse(A),complement(complement(composition(A,top)) join
% complement(B))) join composition(converse(A),B)
% ->
% composition(converse(A),complement(complement(composition(A,top)) join
% complement(B)))
% Current number of equations to process: 1484
% Current number of ordered equations: 0
% Current number of rules: 1312
% New rule produced :
% [1425]
% composition(A,complement(complement(composition(converse(A),top)) join
% complement(B))) ->
% composition(A,complement(complement(converse(composition(top,A))) join
% complement(B))) join composition(A,B)
% Rule
% [88]
% composition(A,complement(complement(composition(converse(A),top)) join
% complement(B))) join composition(A,B) ->
% composition(A,complement(complement(composition(converse(A),top)) join
% complement(B))) collapsed.
% Rule
% [1419]
% composition(A,complement(complement(composition(converse(A),top)) join
% complement(B))) join complement(composition(A,B)) ->
% top collapsed.
% Rule
% [1420]
% composition(A,complement(complement(one) join complement(composition(
% converse(A),top)))) join A
% ->
% composition(A,complement(complement(one) join complement(composition(
% converse(A),top))))
% collapsed.
% Current number of equations to process: 1574
% Current number of ordered equations: 0
% Current number of rules: 1310
% New rule produced :
% [1426]
% complement(complement(complement(complement(A) join B) join C) join complement(
% A join B)) join
% complement(complement(B) join C) -> A join B
% Current number of equations to process: 1573
% Current number of ordered equations: 0
% Current number of rules: 1311
% New rule produced :
% [1427]
% complement(composition(A,complement(composition(converse(A),B))) join
% complement(C)) join complement(B) -> complement(B) join C
% Rule
% [1263]
% complement(complement(composition(C,complement(composition(converse(C),A))) join
% complement(B)) join complement(A)) join B -> A join B
% collapsed.
% Current number of equations to process: 1621
% Current number of ordered equations: 0
% Current number of rules: 1311
% New rule produced :
% [1428]
% composition(converse(composition(composition(A,B),composition(C,V_3))),
% complement(composition(A,composition(composition(composition(B,C),V_3),V_4)))) join
% complement(V_4) -> complement(V_4)
% Current number of equations to process: 1619
% Current number of ordered equations: 0
% Current number of rules: 1312
% New rule produced :
% [1429]
% composition(converse(composition(A,composition(composition(B,C),V_3))),
% complement(composition(composition(A,B),composition(composition(C,V_3),V_4)))) join
% complement(V_4) -> complement(V_4)
% Current number of equations to process: 1618
% Current number of ordered equations: 0
% Current number of rules: 1313
% New rule produced :
% [1430]
% composition(converse(composition(composition(composition(A,B),C),V_3)),
% complement(composition(A,composition(composition(composition(B,C),V_3),V_4)))) join
% complement(V_4) -> complement(V_4)
% Current number of equations to process: 1617
% Current number of ordered equations: 0
% Current number of rules: 1314
% New rule produced :
% [1431]
% composition(converse(composition(composition(A,composition(B,C)),V_3)),
% complement(composition(A,composition(composition(B,composition(C,V_3)),V_4)))) join
% complement(V_4) -> complement(V_4)
% Current number of equations to process: 1616
% Current number of ordered equations: 0
% Current number of rules: 1315
% New rule produced :
% [1432]
% composition(converse(composition(composition(composition(A,B),C),V_3)),
% complement(composition(A,composition(composition(B,composition(C,V_3)),V_4)))) join
% complement(V_4) -> complement(V_4)
% Current number of equations to process: 1615
% Current number of ordered equations: 0
% Current number of rules: 1316
% New rule produced :
% [1433]
% composition(converse(composition(A,composition(B,composition(C,V_3)))),
% complement(composition(composition(A,composition(B,C)),composition(V_3,V_4)))) join
% complement(V_4) -> complement(V_4)
% Current number of equations to process: 1612
% Current number of ordered equations: 2
% Current number of rules: 1317
% New rule produced :
% [1434]
% composition(converse(composition(A,composition(B,composition(C,V_3)))),
% complement(composition(A,composition(B,composition(C,composition(V_3,V_4)))))) join
% complement(V_4) -> complement(V_4)
% Current number of equations to process: 1612
% Current number of ordered equations: 1
% Current number of rules: 1318
% New rule produced :
% [1435]
% composition(converse(composition(composition(A,composition(B,C)),V_3)),
% complement(composition(A,composition(B,composition(C,composition(V_3,V_4)))))) join
% complement(V_4) -> complement(V_4)
% Current number of equations to process: 1612
% Current number of ordered equations: 0
% Current number of rules: 1319
% New rule produced :
% [1436]
% composition(converse(composition(A,composition(composition(B,C),V_3))),
% complement(composition(composition(composition(A,B),C),composition(V_3,V_4)))) join
% complement(V_4) -> complement(V_4)
% Current number of equations to process: 1609
% Current number of ordered equations: 2
% Current number of rules: 1320
% New rule produced :
% [1437]
% composition(converse(composition(A,composition(composition(B,C),V_3))),
% complement(composition(A,composition(B,composition(composition(C,V_3),V_4))))) join
% complement(V_4) -> complement(V_4)
% Current number of equations to process: 1609
% Current number of ordered equations: 1
% Current number of rules: 1321
% New rule produced :
% [1438]
% composition(converse(composition(composition(composition(A,B),C),V_3)),
% complement(composition(A,composition(composition(B,C),composition(V_3,V_4))))) join
% complement(V_4) -> complement(V_4)
% Current number of equations to process: 1609
% Current number of ordered equations: 0
% Current number of rules: 1322
% New rule produced :
% [1439]
% composition(converse(composition(A,composition(B,composition(C,V_3)))),
% complement(composition(composition(composition(A,B),C),composition(V_3,V_4)))) join
% complement(V_4) -> complement(V_4)
% Current number of equations to process: 1606
% Current number of ordered equations: 2
% Current number of rules: 1323
% New rule produced :
% [1440]
% composition(converse(composition(A,composition(composition(B,C),V_3))),
% complement(composition(A,composition(B,composition(C,composition(V_3,V_4)))))) join
% complement(V_4) -> complement(V_4)
% Current number of equations to process: 1606
% Current number of ordered equations: 1
% Current number of rules: 1324
% New rule produced :
% [1441]
% composition(converse(composition(composition(composition(A,B),C),V_3)),
% complement(composition(A,composition(B,composition(C,composition(V_3,V_4)))))) join
% complement(V_4) -> complement(V_4)
% Current number of equations to process: 1606
% Current number of ordered equations: 0
% Current number of rules: 1325
% New rule produced :
% [1442]
% composition(converse(composition(composition(A,B),composition(C,V_3))),
% complement(composition(composition(A,composition(B,C)),composition(V_3,V_4)))) join
% complement(V_4) -> complement(V_4)
% Current number of equations to process: 1603
% Current number of ordered equations: 2
% Current number of rules: 1326
% New rule produced :
% [1443]
% composition(converse(composition(A,composition(B,composition(C,V_3)))),
% complement(composition(A,composition(composition(B,C),composition(V_3,V_4))))) join
% complement(V_4) -> complement(V_4)
% Current number of equations to process: 1603
% Current number of ordered equations: 1
% Current number of rules: 1327
% New rule produced :
% [1444]
% composition(converse(composition(composition(A,composition(B,C)),V_3)),
% complement(composition(composition(A,B),composition(C,composition(V_3,V_4))))) join
% complement(V_4) -> complement(V_4)
% Current number of equations to process: 1603
% Current number of ordered equations: 0
% Current number of rules: 1328
% New rule produced :
% [1445]
% composition(converse(composition(composition(A,composition(B,C)),V_3)),
% complement(composition(composition(A,B),composition(composition(C,V_3),V_4)))) join
% complement(V_4) -> complement(V_4)
% Current number of equations to process: 1602
% Current number of ordered equations: 0
% Current number of rules: 1329
% New rule produced :
% [1446]
% converse(complement(complement(composition(converse(A),complement(composition(A,B))) join C) join
% complement(B))) join converse(complement(complement(B) join C))
% -> converse(B)
% Current number of equations to process: 1601
% Current number of ordered equations: 0
% Current number of rules: 1330
% New rule produced :
% [1447]
% composition(composition(complement(A),converse(B)),converse(C)) join
% composition(A,converse(composition(C,B))) ->
% converse(composition(composition(C,B),converse(sk1))) join converse(composition(
% composition(C,B),
% converse(
% complement(sk1))))
% Current number of equations to process: 1588
% Current number of ordered equations: 1
% Current number of rules: 1331
% New rule produced :
% [1448]
% composition(composition(A,converse(B)),converse(C)) join composition(
% complement(A),
% converse(composition(C,B)))
% ->
% converse(composition(composition(C,B),converse(sk1))) join converse(composition(
% composition(C,B),
% converse(
% complement(sk1))))
% Current number of equations to process: 1588
% Current number of ordered equations: 0
% Current number of rules: 1332
% New rule produced :
% [1449]
% composition(complement(complement(A join B) join C),V_3) join composition(C,V_3)
% <->
% composition(complement(complement(C) join A join B),V_3) join composition(A,V_3) join
% composition(B,V_3)
% Current number of equations to process: 1587
% Current number of ordered equations: 1
% Current number of rules: 1333
% New rule produced :
% [1450]
% composition(complement(complement(C) join A join B),V_3) join composition(A,V_3) join
% composition(B,V_3) <->
% composition(complement(complement(A join B) join C),V_3) join composition(C,V_3)
% Current number of equations to process: 1587
% Current number of ordered equations: 0
% Current number of rules: 1334
% New rule produced :
% [1451]
% converse(composition(converse(A),complement(composition(composition(A,B),
% composition(C,V_3))))) join
% converse(complement(composition(composition(B,C),V_3))) ->
% converse(complement(composition(composition(B,C),V_3)))
% Current number of equations to process: 1585
% Current number of ordered equations: 0
% Current number of rules: 1335
% New rule produced :
% [1452]
% converse(composition(converse(A),complement(composition(composition(composition(A,B),C),V_3)))) join
% converse(complement(composition(composition(B,C),V_3))) ->
% converse(complement(composition(composition(B,C),V_3)))
% Current number of equations to process: 1584
% Current number of ordered equations: 0
% Current number of rules: 1336
% New rule produced :
% [1453]
% converse(composition(converse(A),complement(composition(composition(A,
% composition(B,C)),V_3)))) join
% converse(complement(composition(B,composition(C,V_3)))) ->
% converse(complement(composition(B,composition(C,V_3))))
% Current number of equations to process: 1583
% Current number of ordered equations: 0
% Current number of rules: 1337
% New rule produced :
% [1454]
% converse(composition(converse(A),complement(composition(composition(composition(A,B),C),V_3)))) join
% converse(complement(composition(B,composition(C,V_3)))) ->
% converse(complement(composition(B,composition(C,V_3))))
% Current number of equations to process: 1582
% Current number of ordered equations: 0
% Current number of rules: 1338
% New rule produced :
% [1455]
% composition(converse(A),complement(composition(A,top) join composition(B,top))) join
% composition(converse(B),complement(composition(A,top) join composition(B,top)))
% -> zero
% Current number of equations to process: 1580
% Current number of ordered equations: 0
% Current number of rules: 1339
% New rule produced :
% [1456]
% complement(complement(complement(complement(A) join B) join C) join complement(
% A join B join C))
% -> complement(complement(A) join B) join C
% Current number of equations to process: 1578
% Current number of ordered equations: 0
% Current number of rules: 1340
% New rule produced :
% [1457]
% composition(converse(composition(A,B)),complement(composition(A,composition(
% composition(B,
% converse(C)),
% converse(V_3))))) join
% complement(converse(composition(V_3,C))) ->
% complement(converse(composition(V_3,C)))
% Current number of equations to process: 1576
% Current number of ordered equations: 0
% Current number of rules: 1341
% New rule produced :
% [1458]
% composition(converse(composition(A,converse(B))),complement(composition(A,
% composition(
% converse(
% composition(C,B)),V_3)))) join
% complement(composition(converse(C),V_3)) ->
% complement(composition(converse(C),V_3))
% Current number of equations to process: 1575
% Current number of ordered equations: 0
% Current number of rules: 1342
% New rule produced :
% [1459]
% composition(complement(composition(A,composition(B,C)) join V_3),V_4) join
% composition(A,composition(B,composition(C,V_4))) join composition(V_3,V_4) ->
% composition(top,V_4)
% Current number of equations to process: 1572
% Current number of ordered equations: 0
% Current number of rules: 1343
% New rule produced :
% [1460]
% composition(complement(composition(composition(A,B),C) join V_3),V_4) join
% composition(A,composition(composition(B,C),V_4)) join composition(V_3,V_4) ->
% composition(top,V_4)
% Current number of equations to process: 1571
% Current number of ordered equations: 0
% Current number of rules: 1344
% New rule produced :
% [1461]
% composition(complement(composition(composition(A,B),C) join V_3),V_4) join
% composition(A,composition(B,composition(C,V_4))) join composition(V_3,V_4) ->
% composition(top,V_4)
% Current number of equations to process: 1570
% Current number of ordered equations: 0
% Current number of rules: 1345
% New rule produced :
% [1462]
% composition(composition(A,B),composition(C,V_3)) join composition(complement(
% composition(A,
% composition(B,C)) join V_4),V_3) join
% composition(V_4,V_3) -> composition(top,V_3)
% Current number of equations to process: 1569
% Current number of ordered equations: 0
% Current number of rules: 1346
% New rule produced :
% [1463]
% composition(converse(composition(A,converse(B))),complement(composition(
% composition(A,
% converse(
% composition(C,B))),V_3))) join
% complement(composition(converse(C),V_3)) ->
% complement(composition(converse(C),V_3))
% Current number of equations to process: 1568
% Current number of ordered equations: 0
% Current number of rules: 1347
% New rule produced :
% [1464]
% composition(composition(converse(composition(A,converse(B))),complement(
% composition(A,
% converse(
% composition(C,B))))),V_3) join
% composition(complement(converse(C)),V_3) ->
% composition(complement(converse(C)),V_3)
% Current number of equations to process: 1567
% Current number of ordered equations: 0
% Current number of rules: 1348
% New rule produced :
% [1465]
% composition(composition(A,converse(C)),composition(converse(B),V_3)) join
% composition(V_4,composition(converse(B),V_3)) <->
% composition(composition(A,converse(composition(B,C))),V_3) join composition(
% composition(V_4,
% converse(B)),V_3)
% Current number of equations to process: 1558
% Current number of ordered equations: 1
% Current number of rules: 1349
% New rule produced :
% [1466]
% composition(composition(A,converse(composition(B,C))),V_3) join composition(
% composition(V_4,
% converse(B)),V_3)
% <->
% composition(composition(A,converse(C)),composition(converse(B),V_3)) join
% composition(V_4,composition(converse(B),V_3))
% Current number of equations to process: 1558
% Current number of ordered equations: 0
% Current number of rules: 1350
% New rule produced :
% [1467]
% composition(complement(composition(B,C) join composition(V_3,C)),A) join
% composition(B,composition(C,A)) join composition(V_3,composition(C,A)) ->
% composition(top,A)
% Current number of equations to process: 1557
% Current number of ordered equations: 0
% Current number of rules: 1351
% New rule produced :
% [1468]
% complement(complement(complement(A) join B) join complement(complement(A) join C)) join
% complement(complement(complement(A) join B) join C) join A -> top
% Current number of equations to process: 1556
% Current number of ordered equations: 0
% Current number of rules: 1352
% New rule produced :
% [1469]
% converse(A) join converse(B) join complement(complement(converse(complement(
% A join B)) join C) join
% complement(complement(V_3) join V_4)) join V_3
% -> top
% Current number of equations to process: 1548
% Current number of ordered equations: 3
% Current number of rules: 1353
% New rule produced :
% [1470]
% converse(complement(A join B)) join complement(complement(converse(A) join
% converse(B) join C) join
% complement(complement(V_3) join V_4)) join V_3
% -> top
% Current number of equations to process: 1548
% Current number of ordered equations: 2
% Current number of rules: 1354
% New rule produced :
% [1471]
% converse(complement(A join B)) join converse(B) join complement(complement(
% converse(A) join C) join
% complement(
% complement(V_3) join V_4)) join V_3
% -> top
% Current number of equations to process: 1548
% Current number of ordered equations: 1
% Current number of rules: 1355
% New rule produced :
% [1472]
% converse(A) join complement(complement(converse(complement(A join B)) join
% converse(B) join C) join complement(
% complement(V_3) join V_4)) join V_3
% -> top
% Current number of equations to process: 1548
% Current number of ordered equations: 0
% Current number of rules: 1356
% New rule produced :
% [1473]
% complement(complement(complement(composition(converse(A),complement(composition(A,B)))) join C) join
% complement(complement(V_3) join V_4)) join complement(B) join V_3
% -> top
% Current number of equations to process: 1546
% Current number of ordered equations: 1
% Current number of rules: 1357
% New rule produced :
% [1474]
% complement(complement(complement(A) join B) join complement(complement(C) join V_3)) join
% complement(composition(converse(V_4),complement(composition(V_4,A)))) join C
% -> top
% Current number of equations to process: 1546
% Current number of ordered equations: 0
% Current number of rules: 1358
% New rule produced :
% [1475]
% complement(complement(composition(converse(V_3),complement(composition(
% composition(V_3,A),B))) join
% complement(C)) join complement(composition(A,B))) join C
% -> composition(A,B) join C
% Current number of equations to process: 1545
% Current number of ordered equations: 0
% Current number of rules: 1359
% New rule produced :
% [1476]
% composition(complement(complement(composition(converse(A),complement(A)) join B) join
% complement(one)),C) join composition(complement(
% complement(one) join B),C)
% -> composition(one,C)
% Current number of equations to process: 1544
% Current number of ordered equations: 0
% Current number of rules: 1360
% New rule produced :
% [1477]
% complement(complement(composition(converse(A),complement(composition(A,B))) join
% complement(composition(converse(C),complement(composition(C,B)))) join V_3) join
% complement(B)) -> B
% Current number of equations to process: 1542
% Current number of ordered equations: 0
% Current number of rules: 1361
% New rule produced :
% [1478]
% composition(converse(composition(A,composition(B,C))),complement(composition(A,
% composition(B,
% composition(
% composition(C,V_3),V_4))))) join
% complement(composition(V_3,V_4)) -> complement(composition(V_3,V_4))
% Current number of equations to process: 1519
% Current number of ordered equations: 0
% Current number of rules: 1362
% New rule produced :
% [1479]
% composition(converse(composition(A,composition(B,C))),complement(composition(A,
% composition(
% composition(B,
% composition(C,V_3)),V_4)))) join
% complement(composition(V_3,V_4)) -> complement(composition(V_3,V_4))
% Current number of equations to process: 1518
% Current number of ordered equations: 0
% Current number of rules: 1363
% New rule produced :
% [1480]
% composition(complement(composition(A,converse(B)) join C),converse(V_3)) join
% composition(A,converse(composition(V_3,B))) join composition(C,converse(V_3))
% -> composition(top,converse(V_3))
% Current number of equations to process: 1516
% Current number of ordered equations: 0
% Current number of rules: 1364
% New rule produced :
% [1481]
% composition(converse(composition(A,composition(B,C))),complement(composition(
% composition(A,
% composition(B,
% composition(C,V_3))),V_4))) join
% complement(composition(V_3,V_4)) -> complement(composition(V_3,V_4))
% Current number of equations to process: 1506
% Current number of ordered equations: 0
% Current number of rules: 1365
% New rule produced :
% [1482]
% composition(converse(composition(composition(A,B),C)),complement(composition(
% composition(A,
% composition(
% composition(B,C),V_3)),V_4))) join
% complement(composition(V_3,V_4)) -> complement(composition(V_3,V_4))
% Current number of equations to process: 1505
% Current number of ordered equations: 0
% Current number of rules: 1366
% New rule produced :
% [1483]
% composition(converse(composition(composition(A,B),C)),complement(composition(
% composition(A,
% composition(B,
% composition(C,V_3))),V_4))) join
% complement(composition(V_3,V_4)) -> complement(composition(V_3,V_4))
% Current number of equations to process: 1504
% Current number of ordered equations: 0
% Current number of rules: 1367
% New rule produced :
% [1484]
% composition(converse(composition(A,composition(B,C))),complement(composition(
% composition(
% composition(A,B),
% composition(C,V_3)),V_4))) join
% complement(composition(V_3,V_4)) -> complement(composition(V_3,V_4))
% Current number of equations to process: 1502
% Current number of ordered equations: 0
% Current number of rules: 1368
% New rule produced :
% [1485]
% composition(composition(converse(composition(A,composition(B,C))),complement(
% composition(A,
% composition(B,
% composition(C,V_3))))),V_4) join
% composition(complement(V_3),V_4) -> composition(complement(V_3),V_4)
% Current number of equations to process: 1494
% Current number of ordered equations: 0
% Current number of rules: 1369
% New rule produced :
% [1486]
% composition(composition(converse(composition(composition(A,B),C)),complement(
% composition(A,
% composition(
% composition(B,C),V_3)))),V_4) join
% composition(complement(V_3),V_4) -> composition(complement(V_3),V_4)
% Current number of equations to process: 1493
% Current number of ordered equations: 0
% Current number of rules: 1370
% New rule produced :
% [1487]
% composition(composition(converse(composition(composition(A,B),C)),complement(
% composition(A,
% composition(B,
% composition(C,V_3))))),V_4) join
% composition(complement(V_3),V_4) -> composition(complement(V_3),V_4)
% Current number of equations to process: 1492
% Current number of ordered equations: 0
% Current number of rules: 1371
% New rule produced :
% [1488]
% composition(composition(converse(composition(A,composition(B,C))),complement(
% composition(
% composition(A,B),
% composition(C,V_3)))),V_4) join
% composition(complement(V_3),V_4) -> composition(complement(V_3),V_4)
% Current number of equations to process: 1491
% Current number of ordered equations: 0
% Current number of rules: 1372
% New rule produced :
% [1489]
% complement(complement(complement(A) join complement(V_3) join C) join
% complement(B)) join A join V_3 <->
% complement(complement(complement(A) join complement(B) join C) join complement(V_3)) join A join B
% Current number of equations to process: 1485
% Current number of ordered equations: 0
% Current number of rules: 1373
% New rule produced :
% [1490]
% converse(composition(converse(A),B)) join composition(converse(B),A) join
% composition(complement(complement(converse(composition(A,top))) join
% complement(converse(B))),A) ->
% composition(converse(B),A) join composition(complement(complement(converse(
% composition(A,top))) join
% complement(converse(B))),A)
% Current number of equations to process: 1482
% Current number of ordered equations: 0
% Current number of rules: 1374
% New rule produced :
% [1491]
% converse(composition(A,converse(B))) join composition(B,converse(A)) join
% composition(B,complement(complement(converse(composition(top,B))) join
% complement(converse(A)))) ->
% composition(B,converse(A)) join composition(B,complement(complement(converse(
% composition(top,B))) join
% complement(converse(A))))
% Current number of equations to process: 1481
% Current number of ordered equations: 0
% Current number of rules: 1375
% New rule produced :
% [1492]
% complement(complement(complement(complement(A join B) join complement(C)) join
% complement(B)) join complement(complement(A join B) join C))
% -> complement(A join B) join C
% Current number of equations to process: 1480
% Current number of ordered equations: 0
% Current number of rules: 1376
% New rule produced :
% [1493]
% complement(complement(composition(complement(complement(composition(A,
% converse(B))) join
% complement(C)),B)) join
% complement(A)) join complement(composition(C,B)) ->
% complement(composition(C,B)) join A
% Current number of equations to process: 1478
% Current number of ordered equations: 1
% Current number of rules: 1377
% New rule produced :
% [1494]
% complement(complement(composition(complement(complement(composition(A,
% converse(B))) join
% complement(C)),B)) join
% complement(composition(C,B))) join complement(A) ->
% composition(C,B) join complement(A)
% Current number of equations to process: 1478
% Current number of ordered equations: 0
% Current number of rules: 1378
% New rule produced :
% [1495]
% complement(complement(composition(A,complement(complement(composition(
% converse(A),B)) join
% complement(C)))) join
% complement(B)) join complement(composition(A,C)) ->
% complement(composition(A,C)) join B
% Current number of equations to process: 1476
% Current number of ordered equations: 1
% Current number of rules: 1379
% New rule produced :
% [1496]
% complement(complement(composition(A,complement(complement(composition(
% converse(A),B)) join
% complement(C)))) join
% complement(composition(A,C))) join complement(B) ->
% composition(A,C) join complement(B)
% Current number of equations to process: 1476
% Current number of ordered equations: 0
% Current number of rules: 1380
% New rule produced :
% [1497]
% complement(complement(A join B) join complement(C)) join complement(A) join V_3
% -> complement(A) join C join V_3
% Rule
% [1244]
% complement(complement(complement(A) join B) join complement(C join V_3)) join
% complement(C) join A -> top collapsed.
% Rule
% [1266]
% complement(complement(complement(complement(A) join B) join C) join complement(
% A join V_3)) join
% complement(A) join B -> top collapsed.
% Current number of equations to process: 1813
% Current number of ordered equations: 0
% Current number of rules: 1379
% New rule produced :
% [1498]
% complement(complement(complement(complement(A) join complement(B)) join
% complement(C)) join complement(complement(A) join B)) join C
% -> complement(A) join B join C
% Current number of equations to process: 1843
% Current number of ordered equations: 0
% Current number of rules: 1380
% New rule produced :
% [1499]
% complement(complement(converse(complement(A)) join complement(complement(
% converse(A)) join
% complement(B))) join
% complement(complement(converse(A)) join B)) ->
% complement(converse(A)) join B
% Current number of equations to process: 1842
% Current number of ordered equations: 0
% Current number of rules: 1381
% New rule produced :
% [1500] complement(complement(A) join B) join A join C -> A join C
% Current number of equations to process: 1887
% Current number of ordered equations: 0
% Current number of rules: 1382
% New rule produced :
% [1501]
% complement(complement(complement(A) join complement(C)) join B) join
% complement(A) join C -> complement(A) join complement(B) join C
% Current number of equations to process: 1943
% Current number of ordered equations: 0
% Current number of rules: 1383
% New rule produced :
% [1502]
% complement(complement(complement(A join B) join C) join complement(complement(B) join A)) join
% complement(complement(A) join C) -> complement(B) join A
% Current number of equations to process: 1941
% Current number of ordered equations: 0
% Current number of rules: 1384
% New rule produced :
% [1503]
% complement(complement(one) join A) join complement(composition(converse(B),
% complement(B))) join
% complement(C) join V_3 ->
% complement(composition(converse(B),complement(B))) join complement(C) join V_3
% Current number of equations to process: 1972
% Current number of ordered equations: 0
% Current number of rules: 1385
% New rule produced :
% [1504]
% complement(complement(complement(A) join complement(B)) join complement(
% complement(A) join C)) join
% complement(complement(A) join B join C) -> complement(A) join complement(B)
% Current number of equations to process: 1971
% Current number of ordered equations: 0
% Current number of rules: 1386
% New rule produced :
% [1505]
% complement(complement(converse(A) join complement(complement(converse(
% complement(A))) join
% complement(B))) join
% complement(complement(converse(complement(A))) join B)) ->
% complement(converse(complement(A))) join B
% Current number of equations to process: 1970
% Current number of ordered equations: 0
% Current number of rules: 1387
% New rule produced :
% [1506]
% complement(complement(complement(complement(A) join complement(B)) join
% complement(C) join V_3) join complement(complement(A) join B)) join C
% -> complement(A) join B join C
% Current number of equations to process: 1969
% Current number of ordered equations: 0
% Current number of rules: 1388
% New rule produced :
% [1507]
% complement(complement(complement(complement(A) join complement(B)) join C) join
% complement(A)) join complement(complement(A) join B join C) -> A
% Current number of equations to process: 2330
% Current number of ordered equations: 0
% Current number of rules: 1389
% New rule produced :
% [1508]
% complement(complement(complement(complement(A) join B) join complement(C)) join
% complement(complement(A) join complement(B))) join C ->
% complement(A) join complement(B) join C
% Current number of equations to process: 2329
% Current number of ordered equations: 0
% Current number of rules: 1390
% New rule produced :
% [1509]
% complement(complement(converse(complement(A)) join complement(complement(
% converse(A)) join B)) join
% complement(complement(converse(A)) join complement(B))) ->
% complement(converse(A)) join complement(B)
% Current number of equations to process: 2328
% Current number of ordered equations: 0
% Current number of rules: 1391
% New rule produced :
% [1510]
% complement(complement(complement(A) join B) join C) join complement(A) join
% complement(B) -> complement(A) join complement(B) join complement(C)
% Current number of equations to process: 2381
% Current number of ordered equations: 0
% Current number of rules: 1392
% New rule produced :
% [1511]
% complement(composition(A,top) join complement(B)) join complement(complement(
% composition(A,
% composition(
% converse(A),B))) join
% complement(B))
% -> B
% Current number of equations to process: 2461
% Current number of ordered equations: 0
% Current number of rules: 1393
% New rule produced :
% [1512]
% complement(complement(composition(A,complement(complement(composition(
% converse(A),
% composition(A,B))) join
% complement(B)))) join
% complement(composition(A,B))) -> composition(A,B)
% Current number of equations to process: 2460
% Current number of ordered equations: 0
% Current number of rules: 1394
% New rule produced :
% [1513]
% complement(composition(A,B) join complement(one)) join complement(complement(one) join
% complement(
% composition(A,
% complement(
% complement(
% converse(A)) join
% complement(B)))))
% -> one
% Current number of equations to process: 2458
% Current number of ordered equations: 1
% Current number of rules: 1395
% New rule produced :
% [1514]
% complement(complement(composition(A,complement(complement(one) join complement(
% composition(
% converse(A),B))))) join
% complement(B)) join complement(complement(B) join A) -> B
% Current number of equations to process: 2458
% Current number of ordered equations: 0
% Current number of rules: 1396
% New rule produced :
% [1515]
% complement(composition(A,B) join C) join complement(complement(composition(A,
% complement(
% complement(
% composition(
% converse(A),
% complement(C))) join
% complement(B)))) join C)
% -> complement(C)
% Current number of equations to process: 2458
% Current number of ordered equations: 0
% Current number of rules: 1397
% New rule produced :
% [1516]
% composition(complement(converse(A) join B),complement(composition(A,C))) join
% composition(B,complement(composition(A,C))) join complement(C) ->
% composition(top,complement(composition(A,C))) join complement(C)
% Current number of equations to process: 2445
% Current number of ordered equations: 0
% Current number of rules: 1398
% New rule produced :
% [1517]
% composition(converse(A),complement(composition(composition(A,converse(
% composition(B,C))),V_3))) join
% complement(composition(converse(C),composition(converse(B),V_3))) ->
% complement(composition(converse(composition(B,C)),V_3))
% Current number of equations to process: 2443
% Current number of ordered equations: 0
% Current number of rules: 1399
% New rule produced :
% [1518]
% composition(converse(A),complement(composition(composition(composition(A,
% converse(B)),
% converse(C)),V_3))) join
% complement(composition(converse(composition(C,B)),V_3)) ->
% complement(composition(converse(composition(C,B)),V_3))
% Current number of equations to process: 2440
% Current number of ordered equations: 2
% Current number of rules: 1400
% New rule produced :
% [1519]
% composition(converse(A),complement(composition(composition(composition(A,B),
% converse(C)),converse(V_3)))) join
% complement(composition(B,converse(composition(V_3,C)))) ->
% complement(composition(B,converse(composition(V_3,C))))
% Current number of equations to process: 2440
% Current number of ordered equations: 1
% Current number of rules: 1401
% New rule produced :
% [1520]
% composition(converse(A),complement(composition(composition(A,B),converse(
% composition(C,V_3))))) join
% complement(composition(composition(B,converse(V_3)),converse(C))) ->
% complement(composition(B,converse(composition(C,V_3))))
% Current number of equations to process: 2440
% Current number of ordered equations: 0
% Current number of rules: 1402
% New rule produced :
% [1521]
% composition(composition(converse(A),complement(composition(composition(A,
% converse(B)),
% converse(C)))),V_3) join
% composition(complement(converse(composition(C,B))),V_3) ->
% composition(complement(converse(composition(C,B))),V_3)
% Current number of equations to process: 2437
% Current number of ordered equations: 2
% Current number of rules: 1403
% New rule produced :
% [1522]
% composition(composition(composition(converse(A),complement(composition(A,B))),
% converse(C)),converse(V_3)) join composition(complement(B),
% converse(composition(V_3,C))) ->
% composition(complement(B),converse(composition(V_3,C)))
% Current number of equations to process: 2437
% Current number of ordered equations: 1
% Current number of rules: 1404
% New rule produced :
% [1523]
% composition(composition(converse(A),complement(composition(A,B))),converse(
% composition(C,V_3))) join
% composition(composition(complement(B),converse(V_3)),converse(C)) ->
% composition(complement(B),converse(composition(C,V_3)))
% Current number of equations to process: 2437
% Current number of ordered equations: 0
% Current number of rules: 1405
% New rule produced :
% [1524]
% composition(composition(A,B),C) join composition(composition(V_3,B),C) join
% complement(composition(A,composition(B,C)) join composition(V_3,composition(B,C)))
% -> top
% Current number of equations to process: 2436
% Current number of ordered equations: 0
% Current number of rules: 1406
% New rule produced :
% [1525]
% composition(A,composition(B,C)) join composition(V_3,composition(B,C)) join
% complement(composition(composition(A,B),C) join composition(composition(V_3,B),C))
% -> top
% Current number of equations to process: 2434
% Current number of ordered equations: 0
% Current number of rules: 1407
% New rule produced :
% [1526]
% complement(complement(complement(complement(A) join B) join complement(C)) join A) join
% complement(complement(complement(C) join B) join complement(A)) join C -> top
% Current number of equations to process: 2433
% Current number of ordered equations: 0
% Current number of rules: 1408
% New rule produced :
% [1527]
% complement(complement(composition(converse(V_3),complement(composition(V_3,A))) join
% complement(C) join B) join complement(A)) join C ->
% complement(complement(complement(A) join B) join complement(C)) join A
% Current number of equations to process: 2432
% Current number of ordered equations: 0
% Current number of rules: 1409
% New rule produced :
% [1528]
% complement(complement(composition(V_3,complement(composition(converse(V_3),A))) join
% complement(C) join B) join complement(A)) join C ->
% complement(complement(complement(A) join B) join complement(C)) join A
% Current number of equations to process: 2431
% Current number of ordered equations: 0
% Current number of rules: 1410
% New rule produced :
% [1529]
% complement(complement(complement(B) join complement(C) join V_3) join
% complement(composition(converse(A),complement(composition(A,B))))) join C
% -> composition(converse(A),complement(composition(A,B))) join C
% Current number of equations to process: 2429
% Current number of ordered equations: 0
% Current number of rules: 1411
% New rule produced :
% [1530]
% complement(complement(composition(converse(A),complement(A)) join composition(
% converse(B),
% complement(B)) join C) join
% complement(one)) join complement(complement(one) join C) -> one
% Current number of equations to process: 2427
% Current number of ordered equations: 0
% Current number of rules: 1412
% New rule produced :
% [1531]
% complement(complement(composition(converse(composition(A,B)),complement(
% composition(A,
% composition(B,C)))) join V_3) join
% complement(C)) join complement(complement(C) join V_3) -> C
% Current number of equations to process: 2426
% Current number of ordered equations: 0
% Current number of rules: 1413
% New rule produced :
% [1532]
% complement(complement(converse(complement(A)) join complement(complement(
% converse(A)) join
% complement(B)) join C) join
% complement(complement(converse(A)) join B)) ->
% complement(converse(A)) join B
% Current number of equations to process: 2420
% Current number of ordered equations: 0
% Current number of rules: 1414
% New rule produced :
% [1533]
% complement(complement(complement(complement(A join B) join C) join complement(B)) join
% complement(complement(A join B) join complement(C))) ->
% complement(A join B) join complement(C)
% Current number of equations to process: 2419
% Current number of ordered equations: 0
% Current number of rules: 1415
% New rule produced :
% [1534]
% complement(complement(converse(A) join complement(complement(converse(
% complement(A))) join B)) join
% complement(complement(converse(complement(A))) join complement(B)))
% -> complement(converse(complement(A))) join complement(B)
% Current number of equations to process: 2418
% Current number of ordered equations: 0
% Current number of rules: 1416
% New rule produced :
% [1535]
% complement(complement(complement(complement(A) join B) join complement(C) join V_3) join
% complement(complement(A) join complement(B))) join C ->
% complement(A) join complement(B) join C
% Current number of equations to process: 2416
% Current number of ordered equations: 0
% Current number of rules: 1417
% New rule produced :
% [1536]
% complement(composition(A,complement(B)) join complement(C)) join complement(
% complement(
% composition(A,
% complement(
% complement(
% composition(
% converse(A),C)) join B))) join
% complement(C))
% -> C
% Current number of equations to process: 2415
% Current number of ordered equations: 0
% Current number of rules: 1418
% New rule produced :
% [1537]
% converse(complement(converse(composition(A,B)))) join composition(top,B) ->
% top
% Current number of equations to process: 2534
% Current number of ordered equations: 0
% Current number of rules: 1419
% New rule produced :
% [1538]
% converse(complement(converse(composition(converse(A),complement(A))))) join
% complement(one) -> top
% Current number of equations to process: 2533
% Current number of ordered equations: 0
% Current number of rules: 1420
% New rule produced :
% [1539]
% converse(complement(converse(A) join converse(B))) join A join B -> top
% Current number of equations to process: 2531
% Current number of ordered equations: 0
% Current number of rules: 1421
% New rule produced :
% [1540]
% composition(converse(complement(converse(B))),A) join composition(B,A) ->
% composition(top,A)
% Current number of equations to process: 2530
% Current number of ordered equations: 0
% Current number of rules: 1422
% New rule produced :
% [1541]
% converse(complement(converse(composition(converse(A),complement(composition(A,B)))))) join
% complement(B) -> top
% Current number of equations to process: 2525
% Current number of ordered equations: 0
% Current number of rules: 1423
% New rule produced : [1542] converse(complement(converse(zero))) -> top
% Current number of equations to process: 2532
% Current number of ordered equations: 0
% Current number of rules: 1424
% New rule produced :
% [1543]
% converse(complement(converse(composition(A,complement(composition(converse(A),B)))))) join
% complement(B) -> top
% Current number of equations to process: 2554
% Current number of ordered equations: 0
% Current number of rules: 1425
% New rule produced :
% [1544]
% converse(complement(converse(complement(complement(A) join B)))) join A ->
% top
% Current number of equations to process: 2561
% Current number of ordered equations: 0
% Current number of rules: 1426
% New rule produced :
% [1545]
% converse(complement(converse(complement(A join B)))) join complement(A) join C
% -> top
% Current number of equations to process: 2577
% Current number of ordered equations: 0
% Current number of rules: 1427
% Rule [1480]
% composition(complement(composition(A,converse(B)) join C),converse(V_3)) join
% composition(A,converse(composition(V_3,B))) join composition(C,converse(V_3))
% -> composition(top,converse(V_3)) is composed into [1480]
% composition(complement(
% composition(A,
% converse(B)) join C),
% converse(V_3)) join
% composition(A,
% converse(composition(V_3,B))) join
% composition(C,
% converse(V_3)) ->
% converse(composition(V_3,top))
% Rule [1187]
% converse(composition(A,converse(B))) join composition(complement(
% B join C),
% converse(A)) join composition(C,
% converse(A))
% -> composition(top,converse(A)) is composed into [1187]
% converse(composition(A,
% converse(B))) join
% composition(complement(
% B join C),
% converse(A)) join
% composition(C,converse(A))
% ->
% converse(composition(A,top))
% Rule [1186]
% converse(composition(A,converse(complement(B join C)))) join composition(B,
% converse(A)) join
% composition(C,converse(A)) <-> composition(top,converse(A)) is composed into
% [1186]
% converse(composition(A,converse(complement(B join C)))) join composition(B,
% converse(A)) join
% composition(C,converse(A)) -> converse(composition(A,top))
% Rule [1182]
% converse(composition(A,B)) join composition(complement(converse(B) join C),
% converse(A)) join composition(C,
% converse(A)) ->
% composition(top,converse(A)) is composed into [1182]
% converse(composition(A,B)) join
% composition(complement(
% converse(B) join C),
% converse(A)) join
% composition(C,converse(A))
% ->
% converse(composition(A,top))
% Rule [221]
% composition(complement(composition(A,converse(B))),converse(C)) join
% composition(A,converse(composition(C,B))) ->
% composition(top,converse(C)) is composed into [221]
% composition(complement(
% composition(A,
% converse(B))),
% converse(C)) join
% composition(A,converse(
% composition(C,B)))
% ->
% converse(composition(C,top))
% Rule [166]
% converse(composition(A,converse(B))) join composition(complement(B),
% converse(A)) ->
% composition(top,converse(A)) is composed into [166]
% converse(composition(A,
% converse(B))) join
% composition(complement(B),
% converse(A)) ->
% converse(composition(A,top))
% Rule [164]
% converse(composition(A,converse(complement(B)))) join composition(B,
% converse(A)) <->
% composition(top,converse(A)) is composed into [164]
% converse(composition(A,
% converse(
% complement(B)))) join
% composition(B,converse(A))
% ->
% converse(composition(A,top))
% Rule [155]
% converse(composition(A,B)) join composition(complement(converse(B)),
% converse(A)) ->
% composition(top,converse(A)) is composed into [155]
% converse(composition(A,B)) join
% composition(complement(
% converse(B)),
% converse(A)) ->
% converse(composition(A,top))
% New rule produced :
% [1546] composition(top,converse(A)) -> converse(composition(A,top))
% Rule
% [165]
% composition(top,converse(A)) <->
% converse(composition(A,converse(complement(B)))) join composition(B,converse(A))
% collapsed.
% Rule
% [1185]
% composition(top,converse(A)) <->
% converse(composition(A,converse(complement(B join C)))) join composition(B,
% converse(A)) join
% composition(C,converse(A)) collapsed.
% Rule [1408] composition(composition(top,converse(A)),A) -> composition(top,A)
% collapsed.
% Rule
% [1413]
% composition(complement(complement(composition(top,converse(A))) join B),A) join
% composition(complement(B),A) ->
% composition(complement(complement(composition(top,converse(A))) join B),A)
% collapsed.
% Rule
% [1417]
% composition(composition(converse(A),complement(composition(A,composition(top,
% converse(B))))),B)
% -> composition(zero,B) collapsed.
% Rule
% [1422]
% composition(complement(complement(composition(top,converse(A))) join
% complement(B)),A) ->
% composition(complement(complement(converse(composition(A,top))) join
% complement(B)),A) join composition(B,A) collapsed.
% Current number of equations to process: 2607
% Current number of ordered equations: 0
% Current number of rules: 1422
% New rule produced :
% [1547]
% converse(composition(converse(A),composition(A,top))) -> composition(top,A)
% Current number of equations to process: 2606
% Current number of ordered equations: 0
% Current number of rules: 1423
% New rule produced :
% [1548]
% composition(converse(complement(A)),complement(A)) join complement(one) ->
% composition(top,complement(A)) join complement(one)
% Current number of equations to process: 2615
% Current number of ordered equations: 0
% Current number of rules: 1424
% New rule produced :
% [1549]
% composition(composition(converse(A),complement(composition(A,converse(
% composition(B,top))))),B)
% -> composition(zero,B)
% Current number of equations to process: 2614
% Current number of ordered equations: 0
% Current number of rules: 1425
% New rule produced :
% [1550]
% converse(composition(converse(complement(B)),A)) join converse(composition(
% converse(B),A))
% -> converse(composition(top,A))
% Current number of equations to process: 2613
% Current number of ordered equations: 0
% Current number of rules: 1426
% New rule produced :
% [1551]
% composition(converse(complement(A)),complement(composition(A,B))) join
% complement(B) ->
% composition(top,complement(composition(A,B))) join complement(B)
% Current number of equations to process: 2611
% Current number of ordered equations: 0
% Current number of rules: 1427
% New rule produced :
% [1552]
% composition(converse(A),complement(composition(complement(A),B))) join
% complement(B) ->
% composition(top,complement(composition(complement(A),B))) join complement(B)
% Current number of equations to process: 2610
% Current number of ordered equations: 0
% Current number of rules: 1428
% New rule produced :
% [1553]
% complement(complement(converse(complement(converse(complement(B)))) join
% complement(A)) join complement(B)) join A -> A join B
% Current number of equations to process: 2607
% Current number of ordered equations: 2
% Current number of rules: 1429
% New rule produced :
% [1554]
% converse(complement(converse(A))) join complement(complement(complement(B) join C) join
% complement(A)) join B ->
% top
% Current number of equations to process: 2607
% Current number of ordered equations: 1
% Current number of rules: 1430
% New rule produced :
% [1555]
% complement(complement(complement(A) join B) join complement(converse(
% complement(
% converse(C))))) join A join C
% -> top
% Current number of equations to process: 2607
% Current number of ordered equations: 0
% Current number of rules: 1431
% New rule produced :
% [1556]
% composition(converse(complement(composition(A,B))),C) join composition(
% converse(B),
% composition(
% converse(A),C)) ->
% composition(top,C)
% Current number of equations to process: 2606
% Current number of ordered equations: 0
% Current number of rules: 1432
% New rule produced :
% [1557]
% composition(converse(complement(A)),composition(B,C)) join composition(
% composition(
% converse(A),B),C)
% -> composition(top,composition(B,C))
% Current number of equations to process: 2604
% Current number of ordered equations: 1
% Current number of rules: 1433
% New rule produced :
% [1558]
% composition(converse(A),composition(B,C)) join composition(composition(
% converse(complement(A)),B),C)
% -> composition(top,composition(B,C))
% Current number of equations to process: 2604
% Current number of ordered equations: 0
% Current number of rules: 1434
% New rule produced :
% [1559]
% composition(composition(converse(complement(C)),A),B) join composition(
% composition(
% converse(C),A),B)
% -> composition(composition(top,A),B)
% Current number of equations to process: 2603
% Current number of ordered equations: 0
% Current number of rules: 1435
% New rule produced :
% [1560]
% converse(complement(converse(composition(converse(composition(A,B)),complement(
% composition(A,
% composition(B,C))))))) join
% complement(C) -> top
% Current number of equations to process: 2602
% Current number of ordered equations: 0
% Current number of rules: 1436
% New rule produced :
% [1561]
% converse(complement(converse(composition(converse(A),complement(composition(
% composition(A,B),C)))))) join
% complement(composition(B,C)) -> top
% Current number of equations to process: 2601
% Current number of ordered equations: 0
% Current number of rules: 1437
% New rule produced :
% [1562]
% converse(complement(converse(composition(composition(converse(A),complement(
% composition(A,B))),C)))) join
% composition(complement(B),C) -> top
% Current number of equations to process: 2600
% Current number of ordered equations: 0
% Current number of rules: 1438
% New rule produced :
% [1563]
% converse(complement(converse(A))) join complement(complement(complement(B) join C) join
% complement(A join V_3)) join B
% -> top
% Current number of equations to process: 2595
% Current number of ordered equations: 2
% Current number of rules: 1439
% New rule produced :
% [1564]
% complement(complement(converse(complement(converse(complement(B)))) join
% complement(A) join C) join complement(B)) join A ->
% A join B
% Current number of equations to process: 2595
% Current number of ordered equations: 1
% Current number of rules: 1440
% New rule produced :
% [1565]
% complement(complement(converse(complement(converse(A))) join B) join
% complement(complement(C) join V_3)) join A join C -> top
% Current number of equations to process: 2595
% Current number of ordered equations: 0
% Current number of rules: 1441
% New rule produced :
% [1566]
% complement(complement(converse(complement(converse(complement(A)))) join
% composition(converse(B),complement(composition(B,A)))) join
% complement(A)) -> A
% Current number of equations to process: 2594
% Current number of ordered equations: 0
% Current number of rules: 1442
% New rule produced :
% [1567]
% converse(composition(converse(A),B)) join composition(converse(complement(B)),A)
% -> composition(top,A)
% Current number of equations to process: 2618
% Current number of ordered equations: 1
% Current number of rules: 1443
% New rule produced :
% [1568]
% converse(composition(converse(A),complement(B))) join composition(converse(B),A)
% -> composition(top,A)
% Current number of equations to process: 2618
% Current number of ordered equations: 0
% Current number of rules: 1444
% New rule produced :
% [1569]
% composition(converse(complement(A)),complement(composition(A,top))) ->
% composition(top,complement(composition(A,top)))
% Current number of equations to process: 2621
% Current number of ordered equations: 0
% Current number of rules: 1445
% New rule produced :
% [1570]
% composition(converse(A),complement(composition(complement(A),top))) ->
% composition(top,complement(composition(complement(A),top)))
% Current number of equations to process: 2620
% Current number of ordered equations: 0
% Current number of rules: 1446
% New rule produced :
% [1571]
% composition(converse(complement(composition(A,converse(B)))),C) join
% composition(composition(B,converse(A)),C) -> composition(top,C)
% Current number of equations to process: 2629
% Current number of ordered equations: 0
% Current number of rules: 1447
% New rule produced :
% [1572]
% composition(converse(complement(composition(converse(A),B))),C) join
% composition(composition(converse(B),A),C) -> composition(top,C)
% Current number of equations to process: 2628
% Current number of ordered equations: 0
% Current number of rules: 1448
% New rule produced :
% [1573]
% composition(converse(composition(A,B)),C) join composition(converse(complement(B)),
% composition(converse(A),C)) ->
% composition(top,composition(converse(A),C))
% Current number of equations to process: 2658
% Current number of ordered equations: 1
% Current number of rules: 1449
% New rule produced :
% [1574]
% composition(converse(composition(A,complement(B))),C) join composition(
% converse(B),
% composition(
% converse(A),C)) ->
% composition(top,composition(converse(A),C))
% Current number of equations to process: 2658
% Current number of ordered equations: 0
% Current number of rules: 1450
% New rule produced :
% [1575]
% converse(composition(A,converse(composition(composition(B,C),V_3)))) <->
% composition(B,converse(composition(A,converse(composition(C,V_3)))))
% Current number of equations to process: 2669
% Current number of ordered equations: 1
% Current number of rules: 1451
% New rule produced :
% [1576]
% composition(B,converse(composition(A,converse(composition(C,V_3))))) <->
% converse(composition(A,converse(composition(composition(B,C),V_3))))
% Current number of equations to process: 2669
% Current number of ordered equations: 0
% Current number of rules: 1452
% New rule produced :
% [1577]
% converse(composition(V_3,composition(B,composition(C,converse(A))))) <->
% composition(composition(A,converse(composition(B,C))),converse(V_3))
% Current number of equations to process: 2667
% Current number of ordered equations: 3
% Current number of rules: 1453
% New rule produced :
% [1578]
% converse(composition(composition(C,composition(V_3,converse(B))),A)) <->
% composition(converse(A),composition(B,converse(composition(C,V_3))))
% Current number of equations to process: 2667
% Current number of ordered equations: 2
% Current number of rules: 1454
% New rule produced :
% [1579]
% composition(converse(A),composition(B,converse(composition(C,V_3)))) <->
% converse(composition(composition(C,composition(V_3,converse(B))),A))
% Current number of equations to process: 2667
% Current number of ordered equations: 1
% Current number of rules: 1455
% New rule produced :
% [1580]
% composition(composition(A,converse(composition(B,C))),converse(V_3)) <->
% converse(composition(V_3,composition(B,composition(C,converse(A)))))
% Current number of equations to process: 2667
% Current number of ordered equations: 0
% Current number of rules: 1456
% New rule produced :
% [1581]
% composition(composition(A,converse(composition(B,C))),V_3) <->
% composition(converse(composition(C,converse(A))),composition(converse(B),V_3))
% Current number of equations to process: 2666
% Current number of ordered equations: 1
% Current number of rules: 1457
% New rule produced :
% [1582]
% composition(converse(composition(C,converse(A))),composition(converse(B),V_3))
% <-> composition(composition(A,converse(composition(B,C))),V_3)
% Current number of equations to process: 2666
% Current number of ordered equations: 0
% Current number of rules: 1458
% New rule produced :
% [1583]
% converse(composition(converse(A),composition(converse(B),composition(C,
% converse(V_3)))))
% <-> composition(V_3,converse(composition(converse(composition(B,A)),C)))
% Current number of equations to process: 2669
% Current number of ordered equations: 1
% Current number of rules: 1459
% New rule produced :
% [1584]
% composition(V_3,converse(composition(converse(composition(B,A)),C))) <->
% converse(composition(converse(A),composition(converse(B),composition(C,
% converse(V_3)))))
% Current number of equations to process: 2669
% Current number of ordered equations: 0
% Current number of rules: 1460
% New rule produced :
% [1585]
% composition(B,converse(composition(converse(C),A))) <->
% composition(converse(composition(A,converse(B))),C)
% Current number of equations to process: 2700
% Current number of ordered equations: 1
% Current number of rules: 1461
% New rule produced :
% [1586]
% composition(converse(composition(A,converse(B))),C) <->
% composition(B,converse(composition(converse(C),A)))
% Current number of equations to process: 2700
% Current number of ordered equations: 0
% Current number of rules: 1462
% New rule produced :
% [1587]
% converse(composition(composition(composition(A,B),C),converse(V_3))) <->
% composition(V_3,converse(composition(A,composition(B,C))))
% Current number of equations to process: 2711
% Current number of ordered equations: 1
% Current number of rules: 1463
% New rule produced :
% [1588]
% composition(V_3,converse(composition(A,composition(B,C)))) <->
% converse(composition(composition(composition(A,B),C),converse(V_3)))
% Current number of equations to process: 2711
% Current number of ordered equations: 0
% Current number of rules: 1464
% New rule produced :
% [1589]
% converse(composition(composition(A,composition(B,C)),converse(V_3))) <->
% composition(V_3,converse(composition(composition(A,B),C)))
% Current number of equations to process: 2710
% Current number of ordered equations: 1
% Current number of rules: 1465
% New rule produced :
% [1590]
% composition(V_3,converse(composition(composition(A,B),C))) <->
% converse(composition(composition(A,composition(B,C)),converse(V_3)))
% Current number of equations to process: 2710
% Current number of ordered equations: 0
% Current number of rules: 1466
% New rule produced :
% [1591]
% converse(composition(A,composition(B,converse(composition(C,V_3))))) <->
% composition(composition(C,composition(V_3,converse(B))),converse(A))
% Current number of equations to process: 2708
% Current number of ordered equations: 3
% Current number of rules: 1467
% New rule produced :
% [1592]
% converse(composition(A,composition(B,composition(C,converse(V_3))))) <->
% composition(composition(V_3,converse(C)),converse(composition(A,B)))
% Current number of equations to process: 2708
% Current number of ordered equations: 2
% Current number of rules: 1468
% New rule produced :
% [1593]
% composition(composition(C,composition(V_3,converse(B))),converse(A)) <->
% converse(composition(A,composition(B,converse(composition(C,V_3)))))
% Current number of equations to process: 2708
% Current number of ordered equations: 1
% Current number of rules: 1469
% New rule produced :
% [1594]
% composition(composition(V_3,converse(C)),converse(composition(A,B))) <->
% converse(composition(A,composition(B,composition(C,converse(V_3)))))
% Current number of equations to process: 2708
% Current number of ordered equations: 0
% Current number of rules: 1470
% New rule produced :
% [1595]
% converse(composition(composition(A,converse(composition(B,C))),V_3)) <->
% composition(converse(V_3),composition(B,composition(C,converse(A))))
% Current number of equations to process: 2706
% Current number of ordered equations: 3
% Current number of rules: 1471
% New rule produced :
% [1596]
% converse(composition(A,composition(B,composition(converse(C),V_3)))) <->
% composition(composition(converse(V_3),C),converse(composition(A,B)))
% Current number of equations to process: 2706
% Current number of ordered equations: 2
% Current number of rules: 1472
% New rule produced :
% [1597]
% composition(converse(V_3),composition(B,composition(C,converse(A)))) <->
% converse(composition(composition(A,converse(composition(B,C))),V_3))
% Current number of equations to process: 2706
% Current number of ordered equations: 1
% Current number of rules: 1473
% New rule produced :
% [1598]
% composition(composition(converse(V_3),C),converse(composition(A,B))) <->
% converse(composition(A,composition(B,composition(converse(C),V_3))))
% Current number of equations to process: 2706
% Current number of ordered equations: 0
% Current number of rules: 1474
% New rule produced :
% [1599]
% converse(composition(A,composition(B,converse(composition(C,V_3))))) <->
% composition(C,converse(composition(A,composition(B,converse(V_3)))))
% Current number of equations to process: 2705
% Current number of ordered equations: 1
% Current number of rules: 1475
% New rule produced :
% [1600]
% composition(C,converse(composition(A,composition(B,converse(V_3))))) <->
% converse(composition(A,composition(B,converse(composition(C,V_3)))))
% Current number of equations to process: 2705
% Current number of ordered equations: 0
% Current number of rules: 1476
% New rule produced :
% [1601]
% converse(composition(composition(C,composition(V_3,converse(B))),converse(A)))
% <-> composition(A,composition(B,converse(composition(C,V_3))))
% Current number of equations to process: 2704
% Current number of ordered equations: 1
% Current number of rules: 1477
% New rule produced :
% [1602]
% composition(A,composition(B,converse(composition(C,V_3)))) <->
% converse(composition(composition(C,composition(V_3,converse(B))),converse(A)))
% Current number of equations to process: 2704
% Current number of ordered equations: 0
% Current number of rules: 1478
% New rule produced :
% [1603]
% converse(composition(converse(V_3),composition(B,composition(C,converse(A)))))
% <-> composition(composition(A,converse(composition(B,C))),V_3)
% Current number of equations to process: 2703
% Current number of ordered equations: 1
% Current number of rules: 1479
% New rule produced :
% [1604]
% composition(composition(A,converse(composition(B,C))),V_3) <->
% converse(composition(converse(V_3),composition(B,composition(C,converse(A)))))
% Current number of equations to process: 2703
% Current number of ordered equations: 0
% Current number of rules: 1480
% New rule produced :
% [1605]
% converse(composition(A,composition(composition(B,converse(C)),converse(V_3))))
% <-> composition(composition(V_3,C),converse(composition(A,B)))
% Current number of equations to process: 2701
% Current number of ordered equations: 3
% Current number of rules: 1481
% New rule produced :
% [1606]
% composition(composition(A,converse(composition(V_3,converse(B)))),converse(C))
% <-> composition(A,composition(B,converse(composition(C,V_3))))
% Current number of equations to process: 2701
% Current number of ordered equations: 2
% Current number of rules: 1482
% New rule produced :
% [1607]
% composition(A,composition(B,converse(composition(C,V_3)))) <->
% composition(composition(A,converse(composition(V_3,converse(B)))),converse(C))
% Current number of equations to process: 2701
% Current number of ordered equations: 1
% Current number of rules: 1483
% New rule produced :
% [1608]
% composition(composition(V_3,C),converse(composition(A,B))) <->
% converse(composition(A,composition(composition(B,converse(C)),converse(V_3))))
% Current number of equations to process: 2701
% Current number of ordered equations: 0
% Current number of rules: 1484
% New rule produced :
% [1609]
% converse(complement(composition(A,composition(B,converse(C))))) join
% composition(C,converse(composition(A,B))) -> top
% Current number of equations to process: 2702
% Current number of ordered equations: 0
% Current number of rules: 1485
% New rule produced :
% [1610]
% converse(composition(A,composition(B,composition(C,composition(V_3,converse(V_4))))))
% <->
% composition(V_4,converse(composition(A,composition(B,composition(C,V_3)))))
% Current number of equations to process: 2700
% Current number of ordered equations: 3
% Current number of rules: 1486
% New rule produced :
% [1611]
% converse(composition(A,composition(B,composition(C,composition(V_3,converse(V_4))))))
% <->
% composition(V_4,converse(composition(composition(A,composition(B,C)),V_3)))
% Current number of equations to process: 2700
% Current number of ordered equations: 2
% Current number of rules: 1487
% New rule produced :
% [1612]
% composition(V_4,converse(composition(A,composition(B,composition(C,V_3)))))
% <->
% converse(composition(A,composition(B,composition(C,composition(V_3,converse(V_4))))))
% Current number of equations to process: 2700
% Current number of ordered equations: 1
% Current number of rules: 1488
% New rule produced :
% [1613]
% composition(V_4,converse(composition(composition(A,composition(B,C)),V_3)))
% <->
% converse(composition(A,composition(B,composition(C,composition(V_3,converse(V_4))))))
% Current number of equations to process: 2700
% Current number of ordered equations: 0
% Current number of rules: 1489
% New rule produced :
% [1614]
% converse(composition(A,composition(B,composition(composition(C,V_3),converse(V_4)))))
% <->
% composition(V_4,converse(composition(A,composition(composition(B,C),V_3))))
% Current number of equations to process: 2698
% Current number of ordered equations: 3
% Current number of rules: 1490
% New rule produced :
% [1615]
% converse(composition(A,composition(composition(B,C),composition(V_3,converse(V_4)))))
% <->
% composition(V_4,converse(composition(composition(composition(A,B),C),V_3)))
% Current number of equations to process: 2698
% Current number of ordered equations: 2
% Current number of rules: 1491
% New rule produced :
% [1616]
% composition(V_4,converse(composition(composition(composition(A,B),C),V_3)))
% <->
% converse(composition(A,composition(composition(B,C),composition(V_3,converse(V_4)))))
% Current number of equations to process: 2698
% Current number of ordered equations: 1
% Current number of rules: 1492
% New rule produced :
% [1617]
% composition(V_4,converse(composition(A,composition(composition(B,C),V_3))))
% <->
% converse(composition(A,composition(B,composition(composition(C,V_3),converse(V_4)))))
% Current number of equations to process: 2698
% Current number of ordered equations: 0
% Current number of rules: 1493
% New rule produced :
% [1618]
% converse(composition(A,composition(B,composition(C,composition(V_3,converse(V_4))))))
% <->
% composition(V_4,converse(composition(composition(composition(A,B),C),V_3)))
% Current number of equations to process: 2696
% Current number of ordered equations: 3
% Current number of rules: 1494
% New rule produced :
% [1619]
% converse(composition(A,composition(B,composition(C,composition(V_3,converse(V_4))))))
% <->
% composition(V_4,converse(composition(A,composition(composition(B,C),V_3))))
% Current number of equations to process: 2696
% Current number of ordered equations: 2
% Current number of rules: 1495
% New rule produced :
% [1620]
% composition(V_4,converse(composition(composition(composition(A,B),C),V_3)))
% <->
% converse(composition(A,composition(B,composition(C,composition(V_3,converse(V_4))))))
% Current number of equations to process: 2696
% Current number of ordered equations: 1
% Current number of rules: 1496
% New rule produced :
% [1621]
% composition(V_4,converse(composition(A,composition(composition(B,C),V_3))))
% <->
% converse(composition(A,composition(B,composition(C,composition(V_3,converse(V_4))))))
% Current number of equations to process: 2696
% Current number of ordered equations: 0
% Current number of rules: 1497
% New rule produced :
% [1622]
% converse(composition(composition(A,B),composition(C,composition(V_3,converse(V_4)))))
% <->
% composition(V_4,converse(composition(composition(A,composition(B,C)),V_3)))
% Current number of equations to process: 2694
% Current number of ordered equations: 3
% Current number of rules: 1498
% New rule produced :
% [1623]
% converse(composition(A,composition(composition(B,C),composition(V_3,converse(V_4)))))
% <->
% composition(V_4,converse(composition(A,composition(B,composition(C,V_3)))))
% Current number of equations to process: 2694
% Current number of ordered equations: 2
% Current number of rules: 1499
% New rule produced :
% [1624]
% composition(V_4,converse(composition(A,composition(B,composition(C,V_3)))))
% <->
% converse(composition(A,composition(composition(B,C),composition(V_3,converse(V_4)))))
% Current number of equations to process: 2694
% Current number of ordered equations: 1
% Current number of rules: 1500
% New rule produced :
% [1625]
% composition(V_4,converse(composition(composition(A,composition(B,C)),V_3)))
% <->
% converse(composition(composition(A,B),composition(C,composition(V_3,converse(V_4)))))
% Current number of equations to process: 2694
% Current number of ordered equations: 0
% Current number of rules: 1501
% New rule produced :
% [1626]
% composition(composition(A,composition(B,converse(composition(C,V_3)))),
% converse(V_4)) <->
% composition(A,converse(composition(V_4,composition(C,composition(V_3,
% converse(B))))))
% Current number of equations to process: 2692
% Current number of ordered equations: 3
% Current number of rules: 1502
% New rule produced :
% [1627]
% composition(A,converse(composition(V_4,composition(C,composition(V_3,
% converse(B)))))) <->
% composition(composition(A,composition(B,converse(composition(C,V_3)))),
% converse(V_4))
% Current number of equations to process: 2692
% Current number of ordered equations: 2
% Current number of rules: 1503
% New rule produced :
% [1628]
% composition(A,converse(composition(composition(V_3,composition(V_4,converse(C))),B)))
% <->
% composition(composition(A,converse(B)),composition(C,converse(composition(V_3,V_4))))
% Current number of equations to process: 2692
% Current number of ordered equations: 1
% Current number of rules: 1504
% New rule produced :
% [1629]
% composition(composition(A,converse(B)),composition(C,converse(composition(V_3,V_4))))
% <->
% composition(A,converse(composition(composition(V_3,composition(V_4,converse(C))),B)))
% Current number of equations to process: 2692
% Current number of ordered equations: 0
% Current number of rules: 1505
% New rule produced :
% [1630]
% composition(converse(A),composition(composition(B,converse(composition(C,V_3))),V_4))
% <->
% composition(converse(composition(composition(C,composition(V_3,converse(B))),A)),V_4)
% Current number of equations to process: 2690
% Current number of ordered equations: 3
% Current number of rules: 1506
% New rule produced :
% [1631]
% composition(composition(A,converse(composition(B,C))),composition(converse(V_3),V_4))
% <->
% composition(converse(composition(V_3,composition(B,composition(C,converse(A))))),V_4)
% Current number of equations to process: 2690
% Current number of ordered equations: 2
% Current number of rules: 1507
% New rule produced :
% [1632]
% composition(converse(composition(V_3,composition(B,composition(C,converse(A))))),V_4)
% <->
% composition(composition(A,converse(composition(B,C))),composition(converse(V_3),V_4))
% Current number of equations to process: 2690
% Current number of ordered equations: 1
% Current number of rules: 1508
% New rule produced :
% [1633]
% composition(converse(composition(composition(C,composition(V_3,converse(B))),A)),V_4)
% <->
% composition(converse(A),composition(composition(B,converse(composition(C,V_3))),V_4))
% Current number of equations to process: 2690
% Current number of ordered equations: 0
% Current number of rules: 1509
% New rule produced :
% [1634]
% composition(A,converse(composition(B,composition(C,converse(V_3))))) <->
% composition(composition(A,V_3),converse(composition(B,C)))
% Current number of equations to process: 2708
% Current number of ordered equations: 1
% Current number of rules: 1510
% New rule produced :
% [1635]
% composition(composition(A,V_3),converse(composition(B,C))) <->
% composition(A,converse(composition(B,composition(C,converse(V_3)))))
% Current number of equations to process: 2708
% Current number of ordered equations: 0
% Current number of rules: 1511
% New rule produced :
% [1636]
% converse(composition(C,composition(V_3,converse(composition(A,B))))) <->
% composition(A,composition(B,converse(composition(C,V_3))))
% Current number of equations to process: 2706
% Current number of ordered equations: 3
% Current number of rules: 1512
% New rule produced :
% [1637]
% composition(A,composition(B,converse(composition(C,V_3)))) <->
% converse(composition(C,composition(V_3,converse(composition(A,B)))))
% Current number of equations to process: 2706
% Current number of ordered equations: 2
% Current number of rules: 1513
% New rule produced :
% [1638]
% composition(C,composition(converse(composition(A,B)),V_3)) <->
% composition(converse(composition(A,composition(B,converse(C)))),V_3)
% Current number of equations to process: 2706
% Current number of ordered equations: 1
% Current number of rules: 1514
% New rule produced :
% [1639]
% composition(converse(composition(A,composition(B,converse(C)))),V_3) <->
% composition(C,composition(converse(composition(A,B)),V_3))
% Current number of equations to process: 2706
% Current number of ordered equations: 0
% Current number of rules: 1515
% New rule produced :
% [1640]
% converse(composition(converse(composition(C,B)),composition(V_3,converse(A))))
% <->
% composition(A,converse(composition(converse(B),composition(converse(C),V_3))))
% Current number of equations to process: 2705
% Current number of ordered equations: 1
% Current number of rules: 1516
% New rule produced :
% [1641]
% composition(A,converse(composition(converse(B),composition(converse(C),V_3))))
% <->
% converse(composition(converse(composition(C,B)),composition(V_3,converse(A))))
% Current number of equations to process: 2705
% Current number of ordered equations: 0
% Current number of rules: 1517
% New rule produced :
% [1642]
% converse(complement(composition(A,converse(composition(B,C))))) join
% composition(B,composition(C,converse(A))) -> top
% Current number of equations to process: 2708
% Current number of ordered equations: 0
% Current number of rules: 1518
% New rule produced :
% [1643]
% converse(composition(A,composition(B,composition(C,converse(composition(V_3,V_4))))))
% <->
% composition(composition(V_3,composition(V_4,converse(C))),converse(composition(A,B)))
% Current number of equations to process: 2707
% Current number of ordered equations: 1
% Current number of rules: 1519
% New rule produced :
% [1644]
% composition(composition(V_3,composition(V_4,converse(C))),converse(composition(A,B)))
% <->
% converse(composition(A,composition(B,composition(C,converse(composition(V_3,V_4))))))
% Current number of equations to process: 2707
% Current number of ordered equations: 0
% Current number of rules: 1520
% New rule produced :
% [1645]
% converse(composition(converse(C),composition(B,converse(A)))) <->
% composition(A,composition(converse(B),C))
% Current number of equations to process: 2741
% Current number of ordered equations: 1
% Current number of rules: 1521
% New rule produced :
% [1646]
% composition(A,composition(converse(B),C)) <->
% converse(composition(converse(C),composition(B,converse(A))))
% Current number of equations to process: 2741
% Current number of ordered equations: 0
% Current number of rules: 1522
% New rule produced :
% [1647]
% converse(composition(B,composition(C,converse(composition(A,converse(V_3))))))
% <-> composition(A,converse(composition(composition(B,C),V_3)))
% Current number of equations to process: 2772
% Current number of ordered equations: 1
% Current number of rules: 1523
% New rule produced :
% [1648]
% composition(A,converse(composition(composition(B,C),V_3))) <->
% converse(composition(B,composition(C,converse(composition(A,converse(V_3))))))
% Current number of equations to process: 2772
% Current number of ordered equations: 0
% Current number of rules: 1524
% New rule produced :
% [1649]
% converse(composition(B,converse(composition(A,composition(V_3,C))))) <->
% composition(A,converse(composition(composition(B,converse(C)),converse(V_3))))
% Current number of equations to process: 2771
% Current number of ordered equations: 1
% Current number of rules: 1525
% New rule produced :
% [1650]
% composition(A,converse(composition(composition(B,converse(C)),converse(V_3))))
% <-> converse(composition(B,converse(composition(A,composition(V_3,C)))))
% Current number of equations to process: 2771
% Current number of ordered equations: 0
% Current number of rules: 1526
% New rule produced :
% [1651]
% converse(composition(composition(B,converse(V_3)),converse(composition(A,C))))
% <-> composition(A,converse(composition(B,converse(composition(C,V_3)))))
% Current number of equations to process: 2770
% Current number of ordered equations: 1
% Current number of rules: 1527
% New rule produced :
% [1652]
% composition(A,converse(composition(B,converse(composition(C,V_3))))) <->
% converse(composition(composition(B,converse(V_3)),converse(composition(A,C))))
% Current number of equations to process: 2770
% Current number of ordered equations: 0
% Current number of rules: 1528
% New rule produced :
% [1653]
% converse(composition(converse(C),composition(composition(converse(B),V_3),
% converse(A)))) <->
% composition(A,converse(composition(converse(composition(B,C)),V_3)))
% Current number of equations to process: 2771
% Current number of ordered equations: 1
% Current number of rules: 1529
% New rule produced :
% [1654]
% composition(A,converse(composition(converse(composition(B,C)),V_3))) <->
% converse(composition(converse(C),composition(composition(converse(B),V_3),
% converse(A))))
% Current number of equations to process: 2771
% Current number of ordered equations: 0
% Current number of rules: 1530
% New rule produced :
% [1655]
% converse(composition(B,composition(composition(composition(C,V_3),V_4),
% converse(A)))) <->
% composition(A,converse(composition(composition(B,C),composition(V_3,V_4))))
% Current number of equations to process: 2768
% Current number of ordered equations: 5
% Current number of rules: 1531
% New rule produced :
% [1656]
% composition(A,converse(composition(composition(B,C),composition(V_3,V_4))))
% <->
% converse(composition(B,composition(composition(composition(C,V_3),V_4),
% converse(A))))
% Current number of equations to process: 2768
% Current number of ordered equations: 4
% Current number of rules: 1532
% New rule produced :
% [1657]
% composition(A,composition(converse(composition(B,composition(C,converse(V_3)))),V_4))
% <->
% composition(composition(A,V_3),composition(converse(composition(B,C)),V_4))
% Current number of equations to process: 2768
% Current number of ordered equations: 3
% Current number of rules: 1533
% New rule produced :
% [1658]
% composition(A,converse(composition(B,composition(C,converse(composition(V_3,V_4))))))
% <->
% composition(composition(A,V_3),composition(V_4,converse(composition(B,C))))
% Current number of equations to process: 2768
% Current number of ordered equations: 2
% Current number of rules: 1534
% New rule produced :
% [1659]
% composition(composition(A,V_3),composition(V_4,converse(composition(B,C))))
% <->
% composition(A,converse(composition(B,composition(C,converse(composition(V_3,V_4))))))
% Current number of equations to process: 2768
% Current number of ordered equations: 1
% Current number of rules: 1535
% New rule produced :
% [1660]
% composition(composition(A,V_3),composition(converse(composition(B,C)),V_4))
% <->
% composition(A,composition(converse(composition(B,composition(C,converse(V_3)))),V_4))
% Current number of equations to process: 2768
% Current number of ordered equations: 0
% Current number of rules: 1536
% New rule produced :
% [1661]
% converse(composition(composition(B,C),composition(composition(V_3,V_4),
% converse(A)))) <->
% composition(A,converse(composition(B,composition(composition(C,V_3),V_4))))
% Current number of equations to process: 2765
% Current number of ordered equations: 5
% Current number of rules: 1537
% New rule produced :
% [1662]
% composition(A,converse(composition(B,composition(composition(C,V_3),V_4))))
% <->
% converse(composition(composition(B,C),composition(composition(V_3,V_4),
% converse(A))))
% Current number of equations to process: 2765
% Current number of ordered equations: 4
% Current number of rules: 1538
% New rule produced :
% [1663]
% composition(A,composition(composition(B,V_4),converse(composition(C,V_3))))
% <->
% composition(composition(A,B),converse(composition(C,composition(V_3,converse(V_4)))))
% Current number of equations to process: 2765
% Current number of ordered equations: 3
% Current number of rules: 1539
% New rule produced :
% [1664]
% composition(composition(A,B),converse(composition(C,composition(V_3,converse(V_4)))))
% <->
% composition(A,composition(composition(B,V_4),converse(composition(C,V_3))))
% Current number of equations to process: 2765
% Current number of ordered equations: 2
% Current number of rules: 1540
% New rule produced :
% [1665]
% composition(C,composition(composition(converse(composition(A,B)),V_3),V_4))
% <->
% composition(converse(composition(A,composition(B,converse(C)))),composition(V_3,V_4))
% Current number of equations to process: 2765
% Current number of ordered equations: 1
% Current number of rules: 1541
% New rule produced :
% [1666]
% composition(converse(composition(A,composition(B,converse(C)))),composition(V_3,V_4))
% <->
% composition(C,composition(composition(converse(composition(A,B)),V_3),V_4))
% Current number of equations to process: 2765
% Current number of ordered equations: 0
% Current number of rules: 1542
% New rule produced :
% [1667]
% converse(composition(B,composition(composition(composition(C,V_3),V_4),
% converse(A)))) <->
% composition(A,converse(composition(composition(composition(B,C),V_3),V_4)))
% Current number of equations to process: 2762
% Current number of ordered equations: 5
% Current number of rules: 1543
% New rule produced :
% [1668]
% composition(composition(composition(A,V_3),V_4),converse(composition(B,C)))
% <->
% composition(A,converse(composition(B,composition(C,converse(composition(V_3,V_4))))))
% Current number of equations to process: 2762
% Current number of ordered equations: 4
% Current number of rules: 1544
% New rule produced :
% [1669]
% composition(composition(composition(A,V_3),converse(composition(B,C))),V_4)
% <->
% composition(A,composition(converse(composition(B,composition(C,converse(V_3)))),V_4))
% Current number of equations to process: 2762
% Current number of ordered equations: 3
% Current number of rules: 1545
% New rule produced :
% [1670]
% composition(A,converse(composition(composition(composition(B,C),V_3),V_4)))
% <->
% converse(composition(B,composition(composition(composition(C,V_3),V_4),
% converse(A))))
% Current number of equations to process: 2762
% Current number of ordered equations: 2
% Current number of rules: 1546
% New rule produced :
% [1671]
% composition(A,composition(converse(composition(B,composition(C,converse(V_3)))),V_4))
% <->
% composition(composition(composition(A,V_3),converse(composition(B,C))),V_4)
% Current number of equations to process: 2762
% Current number of ordered equations: 1
% Current number of rules: 1547
% New rule produced :
% [1672]
% composition(A,converse(composition(B,composition(C,converse(composition(V_3,V_4))))))
% <->
% composition(composition(composition(A,V_3),V_4),converse(composition(B,C)))
% Current number of equations to process: 2762
% Current number of ordered equations: 0
% Current number of rules: 1548
% New rule produced :
% [1673]
% converse(composition(B,composition(composition(C,composition(V_3,V_4)),
% converse(A)))) <->
% composition(A,converse(composition(composition(B,composition(C,V_3)),V_4)))
% Current number of equations to process: 2760
% Current number of ordered equations: 3
% Current number of rules: 1549
% New rule produced :
% [1674]
% composition(composition(A,composition(B,V_4)),converse(composition(C,V_3)))
% <->
% composition(A,composition(B,converse(composition(C,composition(V_3,converse(V_4))))))
% Current number of equations to process: 2760
% Current number of ordered equations: 2
% Current number of rules: 1550
% New rule produced :
% [1675]
% composition(A,converse(composition(composition(B,composition(C,V_3)),V_4)))
% <->
% converse(composition(B,composition(composition(C,composition(V_3,V_4)),
% converse(A))))
% Current number of equations to process: 2760
% Current number of ordered equations: 1
% Current number of rules: 1551
% New rule produced :
% [1676]
% composition(A,composition(B,converse(composition(C,composition(V_3,converse(V_4))))))
% <->
% composition(composition(A,composition(B,V_4)),converse(composition(C,V_3)))
% Current number of equations to process: 2760
% Current number of ordered equations: 0
% Current number of rules: 1552
% New rule produced :
% [1677]
% converse(composition(B,composition(composition(C,composition(V_3,V_4)),
% converse(A)))) <->
% composition(A,converse(composition(composition(composition(B,C),V_3),V_4)))
% Current number of equations to process: 2758
% Current number of ordered equations: 3
% Current number of rules: 1553
% New rule produced :
% [1678]
% composition(composition(composition(A,B),V_4),converse(composition(C,V_3)))
% <->
% composition(A,composition(B,converse(composition(C,composition(V_3,converse(V_4))))))
% Current number of equations to process: 2758
% Current number of ordered equations: 2
% Current number of rules: 1554
% New rule produced :
% [1679]
% composition(A,converse(composition(composition(composition(B,C),V_3),V_4)))
% <->
% converse(composition(B,composition(composition(C,composition(V_3,V_4)),
% converse(A))))
% Current number of equations to process: 2758
% Current number of ordered equations: 1
% Current number of rules: 1555
% New rule produced :
% [1680]
% composition(A,composition(B,converse(composition(C,composition(V_3,converse(V_4))))))
% <->
% composition(composition(composition(A,B),V_4),converse(composition(C,V_3)))
% Current number of equations to process: 2758
% Current number of ordered equations: 0
% Current number of rules: 1556
% New rule produced :
% [1681]
% converse(composition(composition(B,composition(C,V_3)),composition(V_4,
% converse(A)))) <->
% composition(A,converse(composition(B,composition(C,composition(V_3,V_4)))))
% Current number of equations to process: 2755
% Current number of ordered equations: 5
% Current number of rules: 1557
% New rule produced :
% [1682]
% converse(composition(V_3,composition(V_4,converse(composition(A,composition(B,C))))))
% <->
% composition(A,composition(B,composition(C,converse(composition(V_3,V_4)))))
% Current number of equations to process: 2755
% Current number of ordered equations: 4
% Current number of rules: 1558
% New rule produced :
% [1683]
% composition(composition(A,converse(composition(B,composition(C,converse(V_3))))),V_4)
% <->
% composition(A,composition(V_3,composition(converse(composition(B,C)),V_4)))
% Current number of equations to process: 2755
% Current number of ordered equations: 3
% Current number of rules: 1559
% New rule produced :
% [1684]
% composition(A,converse(composition(B,composition(C,composition(V_3,V_4)))))
% <->
% converse(composition(composition(B,composition(C,V_3)),composition(V_4,
% converse(A))))
% Current number of equations to process: 2755
% Current number of ordered equations: 2
% Current number of rules: 1560
% New rule produced :
% [1685]
% composition(A,composition(B,composition(C,converse(composition(V_3,V_4)))))
% <->
% converse(composition(V_3,composition(V_4,converse(composition(A,composition(B,C))))))
% Current number of equations to process: 2755
% Current number of ordered equations: 1
% Current number of rules: 1561
% New rule produced :
% [1686]
% composition(A,composition(V_3,composition(converse(composition(B,C)),V_4)))
% <->
% composition(composition(A,converse(composition(B,composition(C,converse(V_3))))),V_4)
% Current number of equations to process: 2755
% Current number of ordered equations: 0
% Current number of rules: 1562
% New rule produced :
% [1687]
% converse(composition(composition(composition(B,C),V_3),composition(V_4,
% converse(A)))) <->
% composition(A,converse(composition(B,composition(composition(C,V_3),V_4))))
% Current number of equations to process: 2751
% Current number of ordered equations: 7
% Current number of rules: 1563
% New rule produced :
% [1688]
% converse(composition(V_3,composition(V_4,converse(composition(composition(A,B),C)))))
% <->
% composition(A,composition(composition(B,C),converse(composition(V_3,V_4))))
% Current number of equations to process: 2751
% Current number of ordered equations: 6
% Current number of rules: 1564
% New rule produced :
% [1689]
% composition(A,converse(composition(B,composition(composition(C,V_3),V_4))))
% <->
% converse(composition(composition(composition(B,C),V_3),composition(V_4,
% converse(A))))
% Current number of equations to process: 2751
% Current number of ordered equations: 5
% Current number of rules: 1565
% New rule produced :
% [1690]
% composition(A,composition(composition(B,C),converse(composition(V_3,V_4))))
% <->
% converse(composition(V_3,composition(V_4,converse(composition(composition(A,B),C)))))
% Current number of equations to process: 2751
% Current number of ordered equations: 4
% Current number of rules: 1566
% New rule produced :
% [1691]
% composition(C,composition(composition(converse(composition(A,B)),V_3),V_4))
% <->
% composition(composition(converse(composition(A,composition(B,converse(C)))),V_3),V_4)
% Current number of equations to process: 2751
% Current number of ordered equations: 3
% Current number of rules: 1567
% New rule produced :
% [1692]
% composition(C,composition(composition(V_3,converse(composition(A,B))),V_4))
% <->
% composition(converse(composition(A,composition(B,converse(composition(C,V_3))))),V_4)
% Current number of equations to process: 2751
% Current number of ordered equations: 2
% Current number of rules: 1568
% New rule produced :
% [1693]
% composition(composition(converse(composition(A,composition(B,converse(C)))),V_3),V_4)
% <->
% composition(C,composition(composition(converse(composition(A,B)),V_3),V_4))
% Current number of equations to process: 2751
% Current number of ordered equations: 1
% Current number of rules: 1569
% New rule produced :
% [1694]
% composition(converse(composition(A,composition(B,converse(composition(C,V_3))))),V_4)
% <->
% composition(C,composition(composition(V_3,converse(composition(A,B))),V_4))
% Current number of equations to process: 2751
% Current number of ordered equations: 0
% Current number of rules: 1570
% New rule produced :
% [1695]
% converse(composition(composition(composition(B,C),V_3),composition(V_4,
% converse(A)))) <->
% composition(A,converse(composition(B,composition(C,composition(V_3,V_4)))))
% Current number of equations to process: 2747
% Current number of ordered equations: 7
% Current number of rules: 1571
% New rule produced :
% [1696]
% converse(composition(V_3,composition(V_4,converse(composition(composition(A,B),C)))))
% <->
% composition(A,composition(B,composition(C,converse(composition(V_3,V_4)))))
% Current number of equations to process: 2747
% Current number of ordered equations: 6
% Current number of rules: 1572
% New rule produced :
% [1697]
% composition(A,converse(composition(B,composition(C,composition(V_3,V_4)))))
% <->
% converse(composition(composition(composition(B,C),V_3),composition(V_4,
% converse(A))))
% Current number of equations to process: 2747
% Current number of ordered equations: 5
% Current number of rules: 1573
% New rule produced :
% [1698]
% composition(A,composition(B,composition(C,converse(composition(V_3,V_4)))))
% <->
% converse(composition(V_3,composition(V_4,converse(composition(composition(A,B),C)))))
% Current number of equations to process: 2747
% Current number of ordered equations: 4
% Current number of rules: 1574
% New rule produced :
% [1699]
% composition(C,composition(converse(composition(A,B)),composition(V_3,V_4)))
% <->
% composition(composition(converse(composition(A,composition(B,converse(C)))),V_3),V_4)
% Current number of equations to process: 2747
% Current number of ordered equations: 3
% Current number of rules: 1575
% New rule produced :
% [1700]
% composition(C,composition(V_3,composition(converse(composition(A,B)),V_4)))
% <->
% composition(converse(composition(A,composition(B,converse(composition(C,V_3))))),V_4)
% Current number of equations to process: 2747
% Current number of ordered equations: 2
% Current number of rules: 1576
% New rule produced :
% [1701]
% composition(composition(converse(composition(A,composition(B,converse(C)))),V_3),V_4)
% <->
% composition(C,composition(converse(composition(A,B)),composition(V_3,V_4)))
% Current number of equations to process: 2747
% Current number of ordered equations: 1
% Current number of rules: 1577
% New rule produced :
% [1702]
% composition(converse(composition(A,composition(B,converse(composition(C,V_3))))),V_4)
% <->
% composition(C,composition(V_3,composition(converse(composition(A,B)),V_4)))
% Current number of equations to process: 2747
% Current number of ordered equations: 0
% Current number of rules: 1578
% New rule produced :
% [1703]
% converse(composition(composition(B,composition(C,V_3)),composition(V_4,
% converse(A)))) <->
% composition(A,converse(composition(composition(B,C),composition(V_3,V_4))))
% Current number of equations to process: 2744
% Current number of ordered equations: 5
% Current number of rules: 1579
% New rule produced :
% [1704]
% converse(composition(V_3,composition(V_4,converse(composition(A,composition(B,C))))))
% <->
% composition(composition(A,B),composition(C,converse(composition(V_3,V_4))))
% Current number of equations to process: 2744
% Current number of ordered equations: 4
% Current number of rules: 1580
% New rule produced :
% [1705]
% composition(composition(A,converse(composition(B,composition(C,converse(V_3))))),V_4)
% <->
% composition(composition(A,V_3),composition(converse(composition(B,C)),V_4))
% Current number of equations to process: 2744
% Current number of ordered equations: 3
% Current number of rules: 1581
% New rule produced :
% [1706]
% composition(A,converse(composition(composition(B,C),composition(V_3,V_4))))
% <->
% converse(composition(composition(B,composition(C,V_3)),composition(V_4,
% converse(A))))
% Current number of equations to process: 2744
% Current number of ordered equations: 2
% Current number of rules: 1582
% New rule produced :
% [1707]
% composition(composition(A,B),composition(C,converse(composition(V_3,V_4))))
% <->
% converse(composition(V_3,composition(V_4,converse(composition(A,composition(B,C))))))
% Current number of equations to process: 2744
% Current number of ordered equations: 1
% Current number of rules: 1583
% New rule produced :
% [1708]
% composition(composition(A,V_3),composition(converse(composition(B,C)),V_4))
% <->
% composition(composition(A,converse(composition(B,composition(C,converse(V_3))))),V_4)
% Current number of equations to process: 2744
% Current number of ordered equations: 0
% Current number of rules: 1584
% New rule produced :
% [1709]
% converse(composition(composition(B,C),composition(composition(V_3,V_4),
% converse(A)))) <->
% composition(A,converse(composition(composition(B,composition(C,V_3)),V_4)))
% Current number of equations to process: 2741
% Current number of ordered equations: 5
% Current number of rules: 1585
% New rule produced :
% [1710]
% composition(composition(A,composition(B,V_4)),converse(composition(C,V_3)))
% <->
% composition(composition(A,B),converse(composition(C,composition(V_3,converse(V_4)))))
% Current number of equations to process: 2741
% Current number of ordered equations: 4
% Current number of rules: 1586
% New rule produced :
% [1711]
% composition(A,converse(composition(composition(B,composition(C,V_3)),V_4)))
% <->
% converse(composition(composition(B,C),composition(composition(V_3,V_4),
% converse(A))))
% Current number of equations to process: 2741
% Current number of ordered equations: 3
% Current number of rules: 1587
% New rule produced :
% [1712]
% composition(composition(A,B),converse(composition(C,composition(V_3,converse(V_4)))))
% <->
% composition(composition(A,composition(B,V_4)),converse(composition(C,V_3)))
% Current number of equations to process: 2741
% Current number of ordered equations: 2
% Current number of rules: 1588
% New rule produced :
% [1713]
% composition(composition(C,composition(converse(composition(A,B)),V_3)),V_4)
% <->
% composition(converse(composition(A,composition(B,converse(C)))),composition(V_3,V_4))
% Current number of equations to process: 2741
% Current number of ordered equations: 1
% Current number of rules: 1589
% New rule produced :
% [1714]
% composition(converse(composition(A,composition(B,converse(C)))),composition(V_3,V_4))
% <->
% composition(composition(C,composition(converse(composition(A,B)),V_3)),V_4)
% Current number of equations to process: 2741
% Current number of ordered equations: 0
% Current number of rules: 1590
% New rule produced :
% [1715]
% converse(composition(A,converse(composition(composition(B,C),V_3)))) <->
% composition(composition(B,composition(C,V_3)),converse(A))
% Current number of equations to process: 2756
% Current number of ordered equations: 1
% Current number of rules: 1591
% New rule produced :
% [1716]
% composition(composition(B,composition(C,V_3)),converse(A)) <->
% converse(composition(A,converse(composition(composition(B,C),V_3))))
% Current number of equations to process: 2756
% Current number of ordered equations: 0
% Current number of rules: 1592
% New rule produced :
% [1717]
% converse(composition(C,composition(composition(V_3,converse(B)),converse(A))))
% <-> composition(A,composition(B,converse(composition(C,V_3))))
% Current number of equations to process: 2754
% Current number of ordered equations: 3
% Current number of rules: 1593
% New rule produced :
% [1718]
% converse(composition(A,converse(composition(B,composition(C,converse(V_3))))))
% <-> composition(composition(B,C),converse(composition(A,V_3)))
% Current number of equations to process: 2754
% Current number of ordered equations: 2
% Current number of rules: 1594
% New rule produced :
% [1719]
% composition(A,composition(B,converse(composition(C,V_3)))) <->
% converse(composition(C,composition(composition(V_3,converse(B)),converse(A))))
% Current number of equations to process: 2754
% Current number of ordered equations: 1
% Current number of rules: 1595
% New rule produced :
% [1720]
% composition(composition(B,C),converse(composition(A,V_3))) <->
% converse(composition(A,converse(composition(B,composition(C,converse(V_3))))))
% Current number of equations to process: 2754
% Current number of ordered equations: 0
% Current number of rules: 1596
% New rule produced :
% [1721]
% composition(converse(composition(B,converse(A))),composition(converse(C),V_3))
% <-> composition(composition(composition(A,converse(B)),converse(C)),V_3)
% Current number of equations to process: 2753
% Current number of ordered equations: 1
% Current number of rules: 1597
% New rule produced :
% [1722]
% composition(composition(composition(A,converse(B)),converse(C)),V_3) <->
% composition(converse(composition(B,converse(A))),composition(converse(C),V_3))
% Current number of equations to process: 2753
% Current number of ordered equations: 0
% Current number of rules: 1598
% New rule produced :
% [1723]
% converse(composition(V_3,composition(C,composition(B,converse(A))))) <->
% composition(composition(composition(A,converse(B)),converse(C)),converse(V_3))
% Current number of equations to process: 2751
% Current number of ordered equations: 3
% Current number of rules: 1599
% New rule produced :
% [1724]
% converse(composition(composition(V_3,composition(C,converse(B))),A)) <->
% composition(converse(A),composition(composition(B,converse(C)),converse(V_3)))
% Current number of equations to process: 2751
% Current number of ordered equations: 2
% Current number of rules: 1600
% New rule produced :
% [1725]
% composition(converse(A),composition(composition(B,converse(C)),converse(V_3)))
% <-> converse(composition(composition(V_3,composition(C,converse(B))),A))
% Current number of equations to process: 2751
% Current number of ordered equations: 1
% Current number of rules: 1601
% New rule produced :
% [1726]
% composition(composition(composition(A,converse(B)),converse(C)),converse(V_3))
% <-> converse(composition(V_3,composition(C,composition(B,converse(A)))))
% Current number of equations to process: 2751
% Current number of ordered equations: 0
% Current number of rules: 1602
% New rule produced :
% [1727]
% converse(composition(converse(A),composition(converse(B),composition(C,
% converse(V_3)))))
% <-> composition(composition(V_3,converse(C)),composition(B,A))
% Current number of equations to process: 2750
% Current number of ordered equations: 1
% Current number of rules: 1603
% New rule produced :
% [1728]
% composition(composition(V_3,converse(C)),composition(B,A)) <->
% converse(composition(converse(A),composition(converse(B),composition(C,
% converse(V_3)))))
% Current number of equations to process: 2750
% Current number of ordered equations: 0
% Current number of rules: 1604
% New rule produced :
% [1729]
% converse(composition(composition(A,B),composition(C,converse(V_3)))) <->
% composition(composition(V_3,converse(composition(B,C))),converse(A))
% Current number of equations to process: 2797
% Current number of ordered equations: 1
% Current number of rules: 1605
% New rule produced :
% [1730]
% composition(composition(V_3,converse(composition(B,C))),converse(A)) <->
% converse(composition(composition(A,B),composition(C,converse(V_3))))
% Current number of equations to process: 2797
% Current number of ordered equations: 0
% Current number of rules: 1606
% New rule produced :
% [1731]
% converse(composition(A,composition(composition(B,C),converse(V_3)))) <->
% composition(composition(V_3,converse(C)),converse(composition(A,B)))
% Current number of equations to process: 2796
% Current number of ordered equations: 1
% Current number of rules: 1607
% New rule produced :
% [1732]
% composition(composition(V_3,converse(C)),converse(composition(A,B))) <->
% converse(composition(A,composition(composition(B,C),converse(V_3))))
% Current number of equations to process: 2796
% Current number of ordered equations: 0
% Current number of rules: 1608
% New rule produced :
% [1733]
% converse(composition(composition(composition(A,B),C),converse(V_3))) <->
% composition(composition(V_3,converse(composition(B,C))),converse(A))
% Current number of equations to process: 2795
% Current number of ordered equations: 1
% Current number of rules: 1609
% New rule produced :
% [1734]
% composition(composition(V_3,converse(composition(B,C))),converse(A)) <->
% converse(composition(composition(composition(A,B),C),converse(V_3)))
% Current number of equations to process: 2795
% Current number of ordered equations: 0
% Current number of rules: 1610
% New rule produced :
% [1735]
% converse(composition(composition(A,composition(B,C)),converse(V_3))) <->
% composition(composition(V_3,converse(C)),converse(composition(A,B)))
% Current number of equations to process: 2794
% Current number of ordered equations: 1
% Current number of rules: 1611
% New rule produced :
% [1736]
% composition(composition(V_3,converse(C)),converse(composition(A,B))) <->
% converse(composition(composition(A,composition(B,C)),converse(V_3)))
% Current number of equations to process: 2794
% Current number of ordered equations: 0
% Current number of rules: 1612
% New rule produced :
% [1737]
% converse(composition(A,composition(composition(B,converse(C)),converse(V_3))))
% <-> composition(composition(V_3,composition(C,converse(B))),converse(A))
% Current number of equations to process: 2793
% Current number of ordered equations: 1
% Current number of rules: 1613
% New rule produced :
% [1738]
% composition(composition(V_3,composition(C,converse(B))),converse(A)) <->
% converse(composition(A,composition(composition(B,converse(C)),converse(V_3))))
% Current number of equations to process: 2793
% Current number of ordered equations: 0
% Current number of rules: 1614
% New rule produced :
% [1739]
% converse(composition(composition(composition(A,converse(B)),converse(C)),V_3))
% <-> composition(converse(V_3),composition(C,composition(B,converse(A))))
% Current number of equations to process: 2791
% Current number of ordered equations: 3
% Current number of rules: 1615
% New rule produced :
% [1740]
% converse(composition(A,composition(B,composition(converse(C),V_3)))) <->
% composition(composition(composition(converse(V_3),C),converse(B)),converse(A))
% Current number of equations to process: 2791
% Current number of ordered equations: 2
% Current number of rules: 1616
% New rule produced :
% [1741]
% composition(converse(V_3),composition(C,composition(B,converse(A)))) <->
% converse(composition(composition(composition(A,converse(B)),converse(C)),V_3))
% Current number of equations to process: 2791
% Current number of ordered equations: 1
% Current number of rules: 1617
% New rule produced :
% [1742]
% composition(composition(composition(converse(V_3),C),converse(B)),converse(A))
% <-> converse(composition(A,composition(B,composition(converse(C),V_3))))
% Current number of equations to process: 2791
% Current number of ordered equations: 0
% Current number of rules: 1618
% New rule produced :
% [1743]
% converse(composition(composition(V_3,composition(C,converse(B))),converse(A)))
% <-> composition(A,composition(composition(B,converse(C)),converse(V_3)))
% Current number of equations to process: 2790
% Current number of ordered equations: 1
% Current number of rules: 1619
% New rule produced :
% [1744]
% composition(A,composition(composition(B,converse(C)),converse(V_3))) <->
% converse(composition(composition(V_3,composition(C,converse(B))),converse(A)))
% Current number of equations to process: 2790
% Current number of ordered equations: 0
% Current number of rules: 1620
% New rule produced :
% [1745]
% converse(composition(converse(V_3),composition(C,composition(B,converse(A)))))
% <-> composition(composition(composition(A,converse(B)),converse(C)),V_3)
% Current number of equations to process: 2789
% Current number of ordered equations: 1
% Current number of rules: 1621
% New rule produced :
% [1746]
% composition(composition(composition(A,converse(B)),converse(C)),V_3) <->
% converse(composition(converse(V_3),composition(C,composition(B,converse(A)))))
% Current number of equations to process: 2789
% Current number of ordered equations: 0
% Current number of rules: 1622
% New rule produced :
% [1747]
% converse(composition(A,composition(composition(B,converse(C)),converse(V_3))))
% <-> composition(composition(composition(V_3,C),converse(B)),converse(A))
% Current number of equations to process: 2787
% Current number of ordered equations: 3
% Current number of rules: 1623
% New rule produced :
% [1748]
% composition(A,composition(composition(B,converse(C)),converse(V_3))) <->
% composition(composition(A,converse(composition(C,converse(B)))),converse(V_3))
% Current number of equations to process: 2787
% Current number of ordered equations: 2
% Current number of rules: 1624
% New rule produced :
% [1749]
% composition(composition(composition(V_3,C),converse(B)),converse(A)) <->
% converse(composition(A,composition(composition(B,converse(C)),converse(V_3))))
% Current number of equations to process: 2787
% Current number of ordered equations: 1
% Current number of rules: 1625
% New rule produced :
% [1750]
% composition(composition(A,converse(composition(C,converse(B)))),converse(V_3))
% <-> composition(A,composition(composition(B,converse(C)),converse(V_3)))
% Current number of equations to process: 2787
% Current number of ordered equations: 0
% Current number of rules: 1626
% New rule produced :
% [1751]
% converse(composition(A,composition(B,converse(composition(C,V_3))))) <->
% composition(composition(C,converse(composition(B,converse(V_3)))),converse(A))
% Current number of equations to process: 2786
% Current number of ordered equations: 1
% Current number of rules: 1627
% New rule produced :
% [1752]
% composition(composition(C,converse(composition(B,converse(V_3)))),converse(A))
% <-> converse(composition(A,composition(B,converse(composition(C,V_3)))))
% Current number of equations to process: 2786
% Current number of ordered equations: 0
% Current number of rules: 1628
% New rule produced :
% [1753]
% converse(complement(composition(A,composition(B,converse(C))))) join
% composition(composition(C,converse(B)),converse(A)) -> top
% Current number of equations to process: 2787
% Current number of ordered equations: 0
% Current number of rules: 1629
% New rule produced :
% [1754]
% converse(composition(A,composition(B,composition(C,composition(V_3,converse(V_4))))))
% <->
% composition(composition(V_4,converse(V_3)),converse(composition(A,composition(B,C))))
% Current number of equations to process: 2785
% Current number of ordered equations: 3
% Current number of rules: 1630
% New rule produced :
% [1755]
% converse(composition(A,composition(B,composition(C,composition(V_3,converse(V_4))))))
% <->
% composition(composition(V_4,converse(composition(B,composition(C,V_3)))),
% converse(A))
% Current number of equations to process: 2785
% Current number of ordered equations: 2
% Current number of rules: 1631
% New rule produced :
% [1756]
% composition(composition(V_4,converse(V_3)),converse(composition(A,composition(B,C))))
% <->
% converse(composition(A,composition(B,composition(C,composition(V_3,converse(V_4))))))
% Current number of equations to process: 2785
% Current number of ordered equations: 1
% Current number of rules: 1632
% New rule produced :
% [1757]
% composition(composition(V_4,converse(composition(B,composition(C,V_3)))),
% converse(A)) <->
% converse(composition(A,composition(B,composition(C,composition(V_3,converse(V_4))))))
% Current number of equations to process: 2785
% Current number of ordered equations: 0
% Current number of rules: 1633
% New rule produced :
% [1758]
% converse(composition(A,composition(B,composition(composition(C,V_3),converse(V_4)))))
% <->
% composition(composition(V_4,converse(composition(composition(B,C),V_3))),
% converse(A))
% Current number of equations to process: 2783
% Current number of ordered equations: 3
% Current number of rules: 1634
% New rule produced :
% [1759]
% converse(composition(A,composition(composition(B,C),composition(V_3,converse(V_4)))))
% <->
% composition(composition(V_4,converse(V_3)),converse(composition(composition(A,B),C)))
% Current number of equations to process: 2783
% Current number of ordered equations: 2
% Current number of rules: 1635
% New rule produced :
% [1760]
% composition(composition(V_4,converse(V_3)),converse(composition(composition(A,B),C)))
% <->
% converse(composition(A,composition(composition(B,C),composition(V_3,converse(V_4)))))
% Current number of equations to process: 2783
% Current number of ordered equations: 1
% Current number of rules: 1636
% New rule produced :
% [1761]
% composition(composition(V_4,converse(composition(composition(B,C),V_3))),
% converse(A)) <->
% converse(composition(A,composition(B,composition(composition(C,V_3),converse(V_4)))))
% Current number of equations to process: 2783
% Current number of ordered equations: 0
% Current number of rules: 1637
% New rule produced :
% [1762]
% converse(composition(A,composition(B,composition(C,composition(V_3,converse(V_4))))))
% <->
% composition(composition(V_4,converse(V_3)),converse(composition(composition(A,B),C)))
% Current number of equations to process: 2781
% Current number of ordered equations: 3
% Current number of rules: 1638
% New rule produced :
% [1763]
% converse(composition(A,composition(B,composition(C,composition(V_3,converse(V_4))))))
% <->
% composition(composition(V_4,converse(composition(composition(B,C),V_3))),
% converse(A))
% Current number of equations to process: 2781
% Current number of ordered equations: 2
% Current number of rules: 1639
% New rule produced :
% [1764]
% composition(composition(V_4,converse(V_3)),converse(composition(composition(A,B),C)))
% <->
% converse(composition(A,composition(B,composition(C,composition(V_3,converse(V_4))))))
% Current number of equations to process: 2781
% Current number of ordered equations: 1
% Current number of rules: 1640
% New rule produced :
% [1765]
% composition(composition(V_4,converse(composition(composition(B,C),V_3))),
% converse(A)) <->
% converse(composition(A,composition(B,composition(C,composition(V_3,converse(V_4))))))
% Current number of equations to process: 2781
% Current number of ordered equations: 0
% Current number of rules: 1641
% New rule produced :
% [1766]
% converse(composition(composition(A,B),composition(C,composition(V_3,converse(V_4)))))
% <->
% composition(composition(V_4,converse(V_3)),converse(composition(A,composition(B,C))))
% Current number of equations to process: 2779
% Current number of ordered equations: 3
% Current number of rules: 1642
% New rule produced :
% [1767]
% converse(composition(A,composition(composition(B,C),composition(V_3,converse(V_4)))))
% <->
% composition(composition(V_4,converse(composition(B,composition(C,V_3)))),
% converse(A))
% Current number of equations to process: 2779
% Current number of ordered equations: 2
% Current number of rules: 1643
% New rule produced :
% [1768]
% composition(composition(V_4,converse(V_3)),converse(composition(A,composition(B,C))))
% <->
% converse(composition(composition(A,B),composition(C,composition(V_3,converse(V_4)))))
% Current number of equations to process: 2779
% Current number of ordered equations: 1
% Current number of rules: 1644
% New rule produced :
% [1769]
% composition(composition(V_4,converse(composition(B,composition(C,V_3)))),
% converse(A)) <->
% converse(composition(A,composition(composition(B,C),composition(V_3,converse(V_4)))))
% Current number of equations to process: 2779
% Current number of ordered equations: 0
% Current number of rules: 1645
% New rule produced :
% [1770]
% converse(composition(A,composition(converse(B),C))) <->
% composition(converse(C),composition(B,converse(A)))
% Current number of equations to process: 2800
% Current number of ordered equations: 1
% Current number of rules: 1646
% New rule produced :
% [1771]
% composition(converse(C),composition(B,converse(A))) <->
% converse(composition(A,composition(converse(B),C)))
% Current number of equations to process: 2800
% Current number of ordered equations: 0
% Current number of rules: 1647
% New rule produced :
% [1772]
% converse(composition(composition(A,converse(B)),C)) <->
% composition(converse(composition(one,C)),composition(B,converse(A)))
% Current number of equations to process: 2801
% Current number of ordered equations: 1
% Current number of rules: 1648
% New rule produced :
% [1773]
% composition(converse(composition(one,C)),composition(B,converse(A))) <->
% converse(composition(composition(A,converse(B)),C))
% Current number of equations to process: 2801
% Current number of ordered equations: 0
% Current number of rules: 1649
% New rule produced :
% [1774]
% converse(composition(converse(composition(composition(A,B),C)),V_3)) <->
% composition(converse(V_3),composition(A,composition(B,C)))
% Current number of equations to process: 2800
% Current number of ordered equations: 1
% Current number of rules: 1650
% New rule produced :
% [1775]
% composition(converse(V_3),composition(A,composition(B,C))) <->
% converse(composition(converse(composition(composition(A,B),C)),V_3))
% Current number of equations to process: 2800
% Current number of ordered equations: 0
% Current number of rules: 1651
% New rule produced :
% [1776]
% converse(composition(composition(composition(A,converse(B)),C),V_3)) <->
% composition(converse(composition(C,V_3)),composition(B,converse(A)))
% Current number of equations to process: 2799
% Current number of ordered equations: 1
% Current number of rules: 1652
% New rule produced :
% [1777]
% composition(converse(composition(C,V_3)),composition(B,converse(A))) <->
% converse(composition(composition(composition(A,converse(B)),C),V_3))
% Current number of equations to process: 2799
% Current number of ordered equations: 0
% Current number of rules: 1653
% New rule produced :
% [1778]
% converse(composition(V_3,composition(composition(C,converse(B)),converse(A))))
% <-> composition(A,composition(composition(B,converse(C)),converse(V_3)))
% Current number of equations to process: 2797
% Current number of ordered equations: 3
% Current number of rules: 1654
% New rule produced :
% [1779]
% converse(composition(A,converse(composition(B,composition(C,converse(V_3))))))
% <-> composition(composition(composition(B,C),converse(V_3)),converse(A))
% Current number of equations to process: 2797
% Current number of ordered equations: 2
% Current number of rules: 1655
% New rule produced :
% [1780]
% composition(A,composition(composition(B,converse(C)),converse(V_3))) <->
% converse(composition(V_3,composition(composition(C,converse(B)),converse(A))))
% Current number of equations to process: 2797
% Current number of ordered equations: 1
% Current number of rules: 1656
% New rule produced :
% [1781]
% composition(composition(composition(B,C),converse(V_3)),converse(A)) <->
% converse(composition(A,converse(composition(B,composition(C,converse(V_3))))))
% Current number of equations to process: 2797
% Current number of ordered equations: 0
% Current number of rules: 1657
% New rule produced :
% [1782]
% composition(converse(A),composition(converse(composition(C,converse(B))),V_3))
% <-> composition(composition(converse(A),composition(B,converse(C))),V_3)
% Current number of equations to process: 2796
% Current number of ordered equations: 1
% Current number of rules: 1658
% New rule produced :
% [1783]
% composition(composition(converse(A),composition(B,converse(C))),V_3) <->
% composition(converse(A),composition(converse(composition(C,converse(B))),V_3))
% Current number of equations to process: 2796
% Current number of ordered equations: 0
% Current number of rules: 1659
% New rule produced :
% [1784]
% converse(composition(composition(composition(V_3,converse(C)),B),A)) <->
% composition(converse(A),composition(converse(B),composition(C,converse(V_3))))
% Current number of equations to process: 2794
% Current number of ordered equations: 3
% Current number of rules: 1660
% New rule produced :
% [1785]
% converse(composition(V_3,composition(composition(C,converse(B)),A))) <->
% composition(composition(converse(A),composition(B,converse(C))),converse(V_3))
% Current number of equations to process: 2794
% Current number of ordered equations: 2
% Current number of rules: 1661
% New rule produced :
% [1786]
% composition(converse(A),composition(converse(B),composition(C,converse(V_3))))
% <-> converse(composition(composition(composition(V_3,converse(C)),B),A))
% Current number of equations to process: 2794
% Current number of ordered equations: 1
% Current number of rules: 1662
% New rule produced :
% [1787]
% composition(composition(converse(A),composition(B,converse(C))),converse(V_3))
% <-> converse(composition(V_3,composition(composition(C,converse(B)),A)))
% Current number of equations to process: 2794
% Current number of ordered equations: 0
% Current number of rules: 1663
% New rule produced :
% [1788]
% converse(complement(composition(composition(A,converse(B)),converse(C)))) join
% composition(C,composition(B,converse(A))) -> top
% Current number of equations to process: 2797
% Current number of ordered equations: 0
% Current number of rules: 1664
% New rule produced :
% [1789]
% composition(composition(A,composition(composition(B,converse(C)),converse(V_3))),
% converse(V_4)) <->
% composition(A,converse(composition(V_4,composition(V_3,composition(C,
% converse(B))))))
% Current number of equations to process: 2795
% Current number of ordered equations: 3
% Current number of rules: 1665
% New rule produced :
% [1790]
% composition(A,converse(composition(V_4,composition(V_3,composition(C,
% converse(B)))))) <->
% composition(composition(A,composition(composition(B,converse(C)),converse(V_3))),
% converse(V_4))
% Current number of equations to process: 2795
% Current number of ordered equations: 2
% Current number of rules: 1666
% New rule produced :
% [1791]
% composition(A,converse(composition(composition(V_4,composition(V_3,converse(C))),B)))
% <->
% composition(composition(A,converse(B)),composition(composition(C,converse(V_3)),
% converse(V_4)))
% Current number of equations to process: 2795
% Current number of ordered equations: 1
% Current number of rules: 1667
% New rule produced :
% [1792]
% composition(composition(A,converse(B)),composition(composition(C,converse(V_3)),
% converse(V_4))) <->
% composition(A,converse(composition(composition(V_4,composition(V_3,converse(C))),B)))
% Current number of equations to process: 2795
% Current number of ordered equations: 0
% Current number of rules: 1668
% New rule produced :
% [1793]
% composition(converse(A),composition(composition(composition(B,converse(C)),
% converse(V_3)),V_4)) <->
% composition(converse(composition(composition(V_3,composition(C,converse(B))),A)),V_4)
% Current number of equations to process: 2793
% Current number of ordered equations: 3
% Current number of rules: 1669
% New rule produced :
% [1794]
% composition(converse(composition(composition(V_3,composition(C,converse(B))),A)),V_4)
% <->
% composition(converse(A),composition(composition(composition(B,converse(C)),
% converse(V_3)),V_4))
% Current number of equations to process: 2793
% Current number of ordered equations: 2
% Current number of rules: 1670
% New rule produced :
% [1795]
% composition(converse(composition(V_3,composition(C,composition(B,converse(A))))),V_4)
% <->
% composition(composition(composition(A,converse(B)),converse(C)),composition(
% converse(V_3),V_4))
% Current number of equations to process: 2793
% Current number of ordered equations: 1
% Current number of rules: 1671
% New rule produced :
% [1796]
% composition(composition(composition(A,converse(B)),converse(C)),composition(
% converse(V_3),V_4))
% <->
% composition(converse(composition(V_3,composition(C,composition(B,converse(A))))),V_4)
% Current number of equations to process: 2793
% Current number of ordered equations: 0
% Current number of rules: 1672
% New rule produced :
% [1797]
% converse(composition(A,composition(B,composition(composition(C,converse(V_3)),
% converse(V_4))))) <->
% composition(composition(V_4,composition(V_3,converse(C))),converse(composition(A,B)))
% Current number of equations to process: 2791
% Current number of ordered equations: 3
% Current number of rules: 1673
% New rule produced :
% [1798]
% converse(composition(A,composition(B,composition(C,converse(composition(V_3,V_4))))))
% <->
% composition(composition(composition(V_3,composition(V_4,converse(C))),
% converse(B)),converse(A))
% Current number of equations to process: 2791
% Current number of ordered equations: 2
% Current number of rules: 1674
% New rule produced :
% [1799]
% composition(composition(composition(V_3,composition(V_4,converse(C))),
% converse(B)),converse(A)) <->
% converse(composition(A,composition(B,composition(C,converse(composition(V_3,V_4))))))
% Current number of equations to process: 2791
% Current number of ordered equations: 1
% Current number of rules: 1675
% New rule produced :
% [1800]
% composition(composition(V_4,composition(V_3,converse(C))),converse(composition(A,B)))
% <->
% converse(composition(A,composition(B,composition(composition(C,converse(V_3)),
% converse(V_4)))))
% Current number of equations to process: 2791
% Current number of ordered equations: 0
% Current number of rules: 1676
% New rule produced :
% [1801]
% converse(composition(A,composition(composition(converse(B),C),V_3))) <->
% composition(converse(composition(C,V_3)),composition(B,converse(A)))
% Current number of equations to process: 2835
% Current number of ordered equations: 1
% Current number of rules: 1677
% New rule produced :
% [1802]
% composition(converse(composition(C,V_3)),composition(B,converse(A))) <->
% converse(composition(A,composition(composition(converse(B),C),V_3)))
% Current number of equations to process: 2835
% Current number of ordered equations: 0
% Current number of rules: 1678
% New rule produced :
% [1803]
% converse(composition(A,composition(composition(B,converse(C)),V_3))) <->
% composition(converse(V_3),composition(C,converse(composition(A,B))))
% Current number of equations to process: 2834
% Current number of ordered equations: 1
% Current number of rules: 1679
% New rule produced :
% [1804]
% composition(converse(V_3),composition(C,converse(composition(A,B)))) <->
% converse(composition(A,composition(composition(B,converse(C)),V_3)))
% Current number of equations to process: 2834
% Current number of ordered equations: 0
% Current number of rules: 1680
% New rule produced :
% [1805]
% converse(composition(A,composition(B,composition(converse(C),V_3)))) <->
% composition(converse(V_3),composition(C,converse(composition(A,B))))
% Current number of equations to process: 2833
% Current number of ordered equations: 1
% Current number of rules: 1681
% New rule produced :
% [1806]
% composition(converse(V_3),composition(C,converse(composition(A,B)))) <->
% converse(composition(A,composition(B,composition(converse(C),V_3))))
% Current number of equations to process: 2833
% Current number of ordered equations: 0
% Current number of rules: 1682
% New rule produced :
% [1807]
% converse(composition(composition(A,composition(converse(B),C)),V_3)) <->
% composition(converse(composition(C,V_3)),composition(B,converse(A)))
% Current number of equations to process: 2832
% Current number of ordered equations: 1
% Current number of rules: 1683
% New rule produced :
% [1808]
% composition(converse(composition(C,V_3)),composition(B,converse(A))) <->
% converse(composition(composition(A,composition(converse(B),C)),V_3))
% Current number of equations to process: 2832
% Current number of ordered equations: 0
% Current number of rules: 1684
% New rule produced :
% [1809]
% converse(composition(A,composition(converse(B),composition(C,converse(V_3)))))
% <-> composition(composition(composition(V_3,converse(C)),B),converse(A))
% Current number of equations to process: 2831
% Current number of ordered equations: 1
% Current number of rules: 1685
% New rule produced :
% [1810]
% composition(composition(composition(V_3,converse(C)),B),converse(A)) <->
% converse(composition(A,composition(converse(B),composition(C,converse(V_3)))))
% Current number of equations to process: 2831
% Current number of ordered equations: 0
% Current number of rules: 1686
% New rule produced :
% [1811]
% converse(composition(composition(converse(A),composition(B,converse(C))),V_3))
% <-> composition(converse(V_3),composition(composition(C,converse(B)),A))
% Current number of equations to process: 2829
% Current number of ordered equations: 3
% Current number of rules: 1687
% New rule produced :
% [1812]
% converse(composition(composition(A,composition(converse(B),C)),V_3)) <->
% composition(converse(V_3),composition(composition(converse(C),B),converse(A)))
% Current number of equations to process: 2829
% Current number of ordered equations: 2
% Current number of rules: 1688
% New rule produced :
% [1813]
% composition(converse(V_3),composition(composition(C,converse(B)),A)) <->
% converse(composition(composition(converse(A),composition(B,converse(C))),V_3))
% Current number of equations to process: 2829
% Current number of ordered equations: 1
% Current number of rules: 1689
% New rule produced :
% [1814]
% composition(converse(V_3),composition(composition(converse(C),B),converse(A)))
% <-> converse(composition(composition(A,composition(converse(B),C)),V_3))
% Current number of equations to process: 2829
% Current number of ordered equations: 0
% Current number of rules: 1690
% New rule produced :
% [1815]
% converse(composition(composition(composition(V_3,converse(C)),B),converse(A)))
% <-> composition(A,composition(converse(B),composition(C,converse(V_3))))
% Current number of equations to process: 2828
% Current number of ordered equations: 1
% Current number of rules: 1691
% New rule produced :
% [1816]
% composition(A,composition(converse(B),composition(C,converse(V_3)))) <->
% converse(composition(composition(composition(V_3,converse(C)),B),converse(A)))
% Current number of equations to process: 2828
% Current number of ordered equations: 0
% Current number of rules: 1692
% New rule produced :
% [1817]
% converse(composition(converse(V_3),composition(composition(C,converse(B)),A)))
% <-> composition(composition(converse(A),composition(B,converse(C))),V_3)
% Current number of equations to process: 2827
% Current number of ordered equations: 1
% Current number of rules: 1693
% New rule produced :
% [1818]
% composition(composition(converse(A),composition(B,converse(C))),V_3) <->
% converse(composition(converse(V_3),composition(composition(C,converse(B)),A)))
% Current number of equations to process: 2827
% Current number of ordered equations: 0
% Current number of rules: 1694
% New rule produced :
% [1819]
% converse(composition(composition(composition(A,converse(B)),converse(C)),V_3))
% <-> composition(converse(V_3),composition(composition(C,B),converse(A)))
% Current number of equations to process: 2825
% Current number of ordered equations: 3
% Current number of rules: 1695
% New rule produced :
% [1820]
% composition(A,composition(converse(B),composition(C,converse(V_3)))) <->
% composition(composition(A,converse(B)),converse(composition(V_3,converse(C))))
% Current number of equations to process: 2825
% Current number of ordered equations: 2
% Current number of rules: 1696
% New rule produced :
% [1821]
% composition(converse(V_3),composition(composition(C,B),converse(A))) <->
% converse(composition(composition(composition(A,converse(B)),converse(C)),V_3))
% Current number of equations to process: 2825
% Current number of ordered equations: 1
% Current number of rules: 1697
% New rule produced :
% [1822]
% composition(composition(A,converse(B)),converse(composition(V_3,converse(C))))
% <-> composition(A,composition(converse(B),composition(C,converse(V_3))))
% Current number of equations to process: 2825
% Current number of ordered equations: 0
% Current number of rules: 1698
% New rule produced :
% [1823]
% converse(composition(composition(A,converse(composition(B,C))),V_3)) <->
% composition(converse(V_3),composition(B,converse(composition(A,converse(C)))))
% Current number of equations to process: 2824
% Current number of ordered equations: 1
% Current number of rules: 1699
% New rule produced :
% [1824]
% composition(converse(V_3),composition(B,converse(composition(A,converse(C)))))
% <-> converse(composition(composition(A,converse(composition(B,C))),V_3))
% Current number of equations to process: 2824
% Current number of ordered equations: 0
% Current number of rules: 1700
% New rule produced :
% [1825]
% converse(composition(composition(composition(A,converse(B)),converse(C)),
% converse(V_3))) <->
% composition(composition(V_3,C),composition(B,converse(A)))
% Current number of equations to process: 2823
% Current number of ordered equations: 1
% Current number of rules: 1701
% New rule produced :
% [1826]
% composition(composition(V_3,C),composition(B,converse(A))) <->
% converse(composition(composition(composition(A,converse(B)),converse(C)),
% converse(V_3)))
% Current number of equations to process: 2823
% Current number of ordered equations: 0
% Current number of rules: 1702
% New rule produced :
% [1827]
% converse(complement(composition(composition(A,converse(B)),C))) join
% composition(converse(C),composition(B,converse(A))) -> top
% Current number of equations to process: 2824
% Current number of ordered equations: 0
% Current number of rules: 1703
% New rule produced :
% [1828]
% converse(composition(composition(composition(A,converse(B)),C),composition(V_3,V_4)))
% <->
% composition(converse(composition(composition(C,V_3),V_4)),composition(B,
% converse(A)))
% Current number of equations to process: 2823
% Current number of ordered equations: 1
% Current number of rules: 1704
% New rule produced :
% [1829]
% composition(converse(composition(composition(C,V_3),V_4)),composition(B,
% converse(A))) <->
% converse(composition(composition(composition(A,converse(B)),C),composition(V_3,V_4)))
% Current number of equations to process: 2823
% Current number of ordered equations: 0
% Current number of rules: 1705
% New rule produced :
% [1830]
% converse(composition(composition(composition(composition(A,converse(B)),C),V_3),V_4))
% <->
% composition(converse(composition(composition(C,V_3),V_4)),composition(B,
% converse(A)))
% Current number of equations to process: 2822
% Current number of ordered equations: 1
% Current number of rules: 1706
% New rule produced :
% [1831]
% composition(converse(composition(composition(C,V_3),V_4)),composition(B,
% converse(A))) <->
% converse(composition(composition(composition(composition(A,converse(B)),C),V_3),V_4))
% Current number of equations to process: 2822
% Current number of ordered equations: 0
% Current number of rules: 1707
% New rule produced :
% [1832]
% converse(composition(composition(composition(A,converse(B)),composition(C,V_3)),V_4))
% <->
% composition(converse(composition(C,composition(V_3,V_4))),composition(B,
% converse(A)))
% Current number of equations to process: 2821
% Current number of ordered equations: 1
% Current number of rules: 1708
% New rule produced :
% [1833]
% composition(converse(composition(C,composition(V_3,V_4))),composition(B,
% converse(A))) <->
% converse(composition(composition(composition(A,converse(B)),composition(C,V_3)),V_4))
% Current number of equations to process: 2821
% Current number of ordered equations: 0
% Current number of rules: 1709
% New rule produced :
% [1834]
% converse(composition(composition(composition(composition(A,converse(B)),C),V_3),V_4))
% <->
% composition(converse(composition(C,composition(V_3,V_4))),composition(B,
% converse(A)))
% Current number of equations to process: 2820
% Current number of ordered equations: 1
% Current number of rules: 1710
% New rule produced :
% [1835]
% composition(converse(composition(C,composition(V_3,V_4))),composition(B,
% converse(A))) <->
% converse(composition(composition(composition(composition(A,converse(B)),C),V_3),V_4))
% Current number of equations to process: 2820
% Current number of ordered equations: 0
% Current number of rules: 1711
% New rule produced :
% [1836]
% converse(composition(composition(A,composition(B,composition(C,converse(V_3)))),V_4))
% <->
% composition(converse(V_4),composition(V_3,converse(composition(A,composition(B,C)))))
% Current number of equations to process: 2819
% Current number of ordered equations: 1
% Current number of rules: 1712
% New rule produced :
% [1837]
% composition(converse(V_4),composition(V_3,converse(composition(A,composition(B,C)))))
% <->
% converse(composition(composition(A,composition(B,composition(C,converse(V_3)))),V_4))
% Current number of equations to process: 2819
% Current number of ordered equations: 0
% Current number of rules: 1713
% New rule produced :
% [1838]
% converse(composition(composition(A,composition(composition(B,C),converse(V_3))),V_4))
% <->
% composition(converse(V_4),composition(V_3,converse(composition(composition(A,B),C))))
% Current number of equations to process: 2818
% Current number of ordered equations: 1
% Current number of rules: 1714
% New rule produced :
% [1839]
% composition(converse(V_4),composition(V_3,converse(composition(composition(A,B),C))))
% <->
% converse(composition(composition(A,composition(composition(B,C),converse(V_3))),V_4))
% Current number of equations to process: 2818
% Current number of ordered equations: 0
% Current number of rules: 1715
% New rule produced :
% [1840]
% converse(composition(composition(A,composition(B,composition(C,converse(V_3)))),V_4))
% <->
% composition(converse(V_4),composition(V_3,converse(composition(composition(A,B),C))))
% Current number of equations to process: 2817
% Current number of ordered equations: 1
% Current number of rules: 1716
% New rule produced :
% [1841]
% composition(converse(V_4),composition(V_3,converse(composition(composition(A,B),C))))
% <->
% converse(composition(composition(A,composition(B,composition(C,converse(V_3)))),V_4))
% Current number of equations to process: 2817
% Current number of ordered equations: 0
% Current number of rules: 1717
% New rule produced :
% [1842]
% converse(composition(composition(composition(A,B),composition(C,converse(V_3))),V_4))
% <->
% composition(converse(V_4),composition(V_3,converse(composition(A,composition(B,C)))))
% Current number of equations to process: 2816
% Current number of ordered equations: 1
% Current number of rules: 1718
% New rule produced :
% [1843]
% composition(converse(V_4),composition(V_3,converse(composition(A,composition(B,C)))))
% <->
% converse(composition(composition(composition(A,B),composition(C,converse(V_3))),V_4))
% Current number of equations to process: 2816
% Current number of ordered equations: 0
% Current number of rules: 1719
% New rule produced :
% [1844]
% converse(composition(composition(A,converse(one)),B)) ->
% converse(composition(A,B))
% Current number of equations to process: 2834
% Current number of ordered equations: 0
% Current number of rules: 1720
% New rule produced :
% [1845]
% converse(composition(composition(C,converse(B)),A)) <->
% composition(composition(converse(A),B),converse(C))
% Current number of equations to process: 2839
% Current number of ordered equations: 1
% Current number of rules: 1721
% New rule produced :
% [1846]
% composition(composition(converse(A),B),converse(C)) <->
% converse(composition(composition(C,converse(B)),A))
% Current number of equations to process: 2839
% Current number of ordered equations: 0
% Current number of rules: 1722
% New rule produced :
% [1847]
% composition(A,composition(B,converse(composition(C,converse(V_3))))) <->
% composition(composition(A,B),composition(V_3,converse(C)))
% Current number of equations to process: 2838
% Current number of ordered equations: 1
% Current number of rules: 1723
% New rule produced :
% [1848]
% composition(composition(A,B),composition(V_3,converse(C))) <->
% composition(A,composition(B,converse(composition(C,converse(V_3)))))
% Current number of equations to process: 2838
% Current number of ordered equations: 0
% Current number of rules: 1724
% New rule produced :
% [1849]
% composition(composition(composition(A,converse(B)),C),V_3) <->
% composition(converse(composition(B,converse(A))),composition(C,V_3))
% Rule
% [1722]
% composition(composition(composition(A,converse(B)),converse(C)),V_3) <->
% composition(converse(composition(B,converse(A))),composition(converse(C),V_3))
% collapsed.
% Current number of equations to process: 2837
% Current number of ordered equations: 1
% Current number of rules: 1724
% New rule produced :
% [1850]
% composition(converse(composition(B,converse(A))),composition(C,V_3)) <->
% composition(composition(composition(A,converse(B)),C),V_3)
% Rule
% [1721]
% composition(converse(composition(B,converse(A))),composition(converse(C),V_3))
% <-> composition(composition(composition(A,converse(B)),converse(C)),V_3)
% collapsed.
% Current number of equations to process: 2837
% Current number of ordered equations: 0
% Current number of rules: 1724
% New rule produced :
% [1851]
% composition(A,converse(composition(composition(B,converse(C)),V_3))) <->
% composition(converse(composition(V_3,converse(A))),composition(C,converse(B)))
% Current number of equations to process: 2836
% Current number of ordered equations: 1
% Current number of rules: 1725
% New rule produced :
% [1852]
% composition(converse(composition(V_3,converse(A))),composition(C,converse(B)))
% <-> composition(A,converse(composition(composition(B,converse(C)),V_3)))
% Current number of equations to process: 2836
% Current number of ordered equations: 0
% Current number of rules: 1726
% New rule produced :
% [1853]
% converse(composition(composition(V_3,converse(C)),composition(B,converse(A))))
% <-> composition(A,composition(converse(B),composition(C,converse(V_3))))
% Current number of equations to process: 2834
% Current number of ordered equations: 3
% Current number of rules: 1727
% New rule produced :
% [1854]
% converse(composition(converse(composition(A,composition(B,converse(C)))),V_3))
% <-> composition(converse(V_3),composition(composition(A,B),converse(C)))
% Current number of equations to process: 2834
% Current number of ordered equations: 2
% Current number of rules: 1728
% New rule produced :
% [1855]
% composition(A,composition(converse(B),composition(C,converse(V_3)))) <->
% converse(composition(composition(V_3,converse(C)),composition(B,converse(A))))
% Current number of equations to process: 2834
% Current number of ordered equations: 1
% Current number of rules: 1729
% New rule produced :
% [1856]
% composition(converse(V_3),composition(composition(A,B),converse(C))) <->
% converse(composition(converse(composition(A,composition(B,converse(C)))),V_3))
% Current number of equations to process: 2834
% Current number of ordered equations: 0
% Current number of rules: 1730
% New rule produced :
% [1857]
% converse(composition(composition(V_3,converse(C)),composition(B,A))) <->
% composition(converse(A),composition(converse(B),composition(C,converse(V_3))))
% Current number of equations to process: 2833
% Current number of ordered equations: 1
% Current number of rules: 1731
% New rule produced :
% [1858]
% composition(converse(A),composition(converse(B),composition(C,converse(V_3))))
% <-> converse(composition(composition(V_3,converse(C)),composition(B,A)))
% Current number of equations to process: 2833
% Current number of ordered equations: 0
% Current number of rules: 1732
% New rule produced :
% [1859]
% composition(composition(A,converse(B)),converse(composition(C,converse(V_3))))
% <->
% composition(converse(composition(B,converse(A))),composition(V_3,converse(C)))
% Current number of equations to process: 2832
% Current number of ordered equations: 1
% Current number of rules: 1733
% New rule produced :
% [1860]
% composition(converse(composition(B,converse(A))),composition(V_3,converse(C)))
% <->
% composition(composition(A,converse(B)),converse(composition(C,converse(V_3))))
% Current number of equations to process: 2832
% Current number of ordered equations: 0
% Current number of rules: 1734
% New rule produced :
% [1861]
% converse(complement(composition(converse(A),composition(B,converse(C))))) join
% composition(composition(C,converse(B)),A) -> top
% Current number of equations to process: 2835
% Current number of ordered equations: 0
% Current number of rules: 1735
% New rule produced :
% [1862]
% composition(A,converse(composition(V_4,composition(composition(V_3,converse(C)),B))))
% <->
% composition(composition(A,composition(converse(B),composition(C,converse(V_3)))),
% converse(V_4))
% Current number of equations to process: 2833
% Current number of ordered equations: 3
% Current number of rules: 1736
% New rule produced :
% [1863]
% composition(A,converse(composition(composition(composition(V_4,converse(V_3)),C),B)))
% <->
% composition(composition(A,converse(B)),composition(converse(C),composition(V_3,
% converse(V_4))))
% Current number of equations to process: 2833
% Current number of ordered equations: 2
% Current number of rules: 1737
% New rule produced :
% [1864]
% composition(composition(A,converse(B)),composition(converse(C),composition(V_3,
% converse(V_4))))
% <->
% composition(A,converse(composition(composition(composition(V_4,converse(V_3)),C),B)))
% Current number of equations to process: 2833
% Current number of ordered equations: 1
% Current number of rules: 1738
% New rule produced :
% [1865]
% composition(composition(A,composition(converse(B),composition(C,converse(V_3)))),
% converse(V_4)) <->
% composition(A,converse(composition(V_4,composition(composition(V_3,converse(C)),B))))
% Current number of equations to process: 2833
% Current number of ordered equations: 0
% Current number of rules: 1739
% New rule produced :
% [1866]
% composition(converse(A),composition(composition(converse(B),composition(C,
% converse(V_3))),V_4))
% <->
% composition(converse(composition(composition(composition(V_3,converse(C)),B),A)),V_4)
% Current number of equations to process: 2831
% Current number of ordered equations: 3
% Current number of rules: 1740
% New rule produced :
% [1867]
% composition(converse(composition(V_3,composition(composition(C,converse(B)),A))),V_4)
% <->
% composition(composition(converse(A),composition(B,converse(C))),composition(
% converse(V_3),V_4))
% Current number of equations to process: 2831
% Current number of ordered equations: 2
% Current number of rules: 1741
% New rule produced :
% [1868]
% composition(converse(composition(composition(composition(V_3,converse(C)),B),A)),V_4)
% <->
% composition(converse(A),composition(composition(converse(B),composition(C,
% converse(V_3))),V_4))
% Current number of equations to process: 2831
% Current number of ordered equations: 1
% Current number of rules: 1742
% New rule produced :
% [1869]
% composition(composition(converse(A),composition(B,converse(C))),composition(
% converse(V_3),V_4))
% <->
% composition(converse(composition(V_3,composition(composition(C,converse(B)),A))),V_4)
% Current number of equations to process: 2831
% Current number of ordered equations: 0
% Current number of rules: 1743
% New rule produced :
% [1870]
% converse(composition(composition(A,composition(B,converse(composition(C,V_3)))),V_4))
% <->
% composition(converse(V_4),composition(composition(C,composition(V_3,converse(B))),
% converse(A)))
% Current number of equations to process: 2829
% Current number of ordered equations: 3
% Current number of rules: 1744
% New rule produced :
% [1871]
% converse(composition(A,composition(B,composition(converse(C),composition(V_3,
% converse(V_4))))))
% <->
% composition(composition(composition(V_4,converse(V_3)),C),converse(composition(A,B)))
% Current number of equations to process: 2829
% Current number of ordered equations: 2
% Current number of rules: 1745
% New rule produced :
% [1872]
% composition(converse(V_4),composition(composition(C,composition(V_3,converse(B))),
% converse(A))) <->
% converse(composition(composition(A,composition(B,converse(composition(C,V_3)))),V_4))
% Current number of equations to process: 2829
% Current number of ordered equations: 1
% Current number of rules: 1746
% New rule produced :
% [1873]
% composition(composition(composition(V_4,converse(V_3)),C),converse(composition(A,B)))
% <->
% converse(composition(A,composition(B,composition(converse(C),composition(V_3,
% converse(V_4))))))
% Current number of equations to process: 2829
% Current number of ordered equations: 0
% Current number of rules: 1747
% New rule produced :
% [1874]
% composition(A,composition(composition(B,converse(C)),V_3)) <->
% composition(composition(A,converse(composition(C,converse(B)))),V_3)
% Rule
% [1748]
% composition(A,composition(composition(B,converse(C)),converse(V_3))) <->
% composition(composition(A,converse(composition(C,converse(B)))),converse(V_3))
% collapsed.
% Current number of equations to process: 2868
% Current number of ordered equations: 1
% Current number of rules: 1747
% New rule produced :
% [1875]
% composition(composition(A,converse(composition(C,converse(B)))),V_3) <->
% composition(A,composition(composition(B,converse(C)),V_3))
% Rule
% [1750]
% composition(composition(A,converse(composition(C,converse(B)))),converse(V_3))
% <-> composition(A,composition(composition(B,converse(C)),converse(V_3)))
% collapsed.
% Current number of equations to process: 2868
% Current number of ordered equations: 0
% Current number of rules: 1747
% New rule produced :
% [1876]
% converse(composition(composition(V_3,converse(composition(B,C))),A)) <->
% composition(composition(converse(A),B),composition(C,converse(V_3)))
% Current number of equations to process: 2877
% Current number of ordered equations: 1
% Current number of rules: 1748
% New rule produced :
% [1877]
% composition(composition(converse(A),B),composition(C,converse(V_3))) <->
% converse(composition(composition(V_3,converse(composition(B,C))),A))
% Current number of equations to process: 2877
% Current number of ordered equations: 0
% Current number of rules: 1749
% New rule produced :
% [1878]
% converse(composition(composition(V_3,converse(composition(B,C))),A)) <->
% composition(composition(composition(converse(A),B),C),converse(V_3))
% Current number of equations to process: 2876
% Current number of ordered equations: 1
% Current number of rules: 1750
% New rule produced :
% [1879]
% composition(composition(composition(converse(A),B),C),converse(V_3)) <->
% converse(composition(composition(V_3,converse(composition(B,C))),A))
% Current number of equations to process: 2876
% Current number of ordered equations: 0
% Current number of rules: 1751
% New rule produced :
% [1880]
% composition(A,converse(composition(composition(B,converse(C)),V_3))) <->
% composition(composition(A,composition(converse(V_3),C)),converse(B))
% Current number of equations to process: 2875
% Current number of ordered equations: 1
% Current number of rules: 1752
% New rule produced :
% [1881]
% composition(composition(A,composition(converse(V_3),C)),converse(B)) <->
% composition(A,converse(composition(composition(B,converse(C)),V_3)))
% Current number of equations to process: 2875
% Current number of ordered equations: 0
% Current number of rules: 1753
% New rule produced :
% [1882]
% composition(A,converse(composition(composition(B,converse(C)),V_3))) <->
% composition(composition(composition(A,converse(V_3)),C),converse(B))
% Current number of equations to process: 2874
% Current number of ordered equations: 1
% Current number of rules: 1754
% New rule produced :
% [1883]
% composition(composition(composition(A,converse(V_3)),C),converse(B)) <->
% composition(A,converse(composition(composition(B,converse(C)),V_3)))
% Current number of equations to process: 2874
% Current number of ordered equations: 0
% Current number of rules: 1755
% New rule produced :
% [1884]
% composition(converse(composition(composition(A,converse(B)),C)),V_3) <->
% composition(converse(C),composition(B,composition(converse(A),V_3)))
% Current number of equations to process: 2873
% Current number of ordered equations: 1
% Current number of rules: 1756
% New rule produced :
% [1885]
% composition(converse(C),composition(B,composition(converse(A),V_3))) <->
% composition(converse(composition(composition(A,converse(B)),C)),V_3)
% Current number of equations to process: 2873
% Current number of ordered equations: 0
% Current number of rules: 1757
% New rule produced :
% [1886]
% composition(converse(composition(composition(A,converse(B)),C)),V_3) <->
% composition(composition(converse(C),B),composition(converse(A),V_3))
% Current number of equations to process: 2872
% Current number of ordered equations: 1
% Current number of rules: 1758
% New rule produced :
% [1887]
% composition(composition(converse(C),B),composition(converse(A),V_3)) <->
% composition(converse(composition(composition(A,converse(B)),C)),V_3)
% Current number of equations to process: 2872
% Current number of ordered equations: 0
% Current number of rules: 1759
% New rule produced :
% [1888]
% converse(composition(composition(V_3,converse(C)),composition(B,converse(A))))
% <-> composition(composition(A,converse(B)),composition(C,converse(V_3)))
% Current number of equations to process: 2871
% Current number of ordered equations: 1
% Current number of rules: 1760
% New rule produced :
% [1889]
% composition(composition(A,converse(B)),composition(C,converse(V_3))) <->
% converse(composition(composition(V_3,converse(C)),composition(B,converse(A))))
% Current number of equations to process: 2871
% Current number of ordered equations: 0
% Current number of rules: 1761
% New rule produced :
% [1890]
% converse(composition(composition(composition(converse(V_3),C),converse(B)),A))
% <-> composition(converse(A),composition(B,composition(converse(C),V_3)))
% Current number of equations to process: 2869
% Current number of ordered equations: 3
% Current number of rules: 1762
% New rule produced :
% [1891]
% converse(composition(composition(V_3,converse(C)),composition(converse(B),A)))
% <-> composition(composition(converse(A),B),composition(C,converse(V_3)))
% Current number of equations to process: 2869
% Current number of ordered equations: 2
% Current number of rules: 1763
% New rule produced :
% [1892]
% composition(converse(A),composition(B,composition(converse(C),V_3))) <->
% converse(composition(composition(composition(converse(V_3),C),converse(B)),A))
% Current number of equations to process: 2869
% Current number of ordered equations: 1
% Current number of rules: 1764
% New rule produced :
% [1893]
% composition(composition(converse(A),B),composition(C,converse(V_3))) <->
% converse(composition(composition(V_3,converse(C)),composition(converse(B),A)))
% Current number of equations to process: 2869
% Current number of ordered equations: 0
% Current number of rules: 1765
% New rule produced :
% [1894]
% converse(composition(composition(composition(V_3,C),converse(B)),A)) <->
% composition(converse(A),composition(composition(B,converse(C)),converse(V_3)))
% Current number of equations to process: 2868
% Current number of ordered equations: 1
% Current number of rules: 1766
% New rule produced :
% [1895]
% composition(converse(A),composition(composition(B,converse(C)),converse(V_3)))
% <-> converse(composition(composition(composition(V_3,C),converse(B)),A))
% Current number of equations to process: 2868
% Current number of ordered equations: 0
% Current number of rules: 1767
% New rule produced :
% [1896]
% converse(composition(composition(C,converse(composition(B,converse(V_3)))),A))
% <-> composition(converse(A),composition(B,converse(composition(C,V_3))))
% Current number of equations to process: 2867
% Current number of ordered equations: 1
% Current number of rules: 1768
% New rule produced :
% [1897]
% composition(converse(A),composition(B,converse(composition(C,V_3)))) <->
% converse(composition(composition(C,converse(composition(B,converse(V_3)))),A))
% Current number of equations to process: 2867
% Current number of ordered equations: 0
% Current number of rules: 1769
% New rule produced :
% [1898]
% composition(A,composition(converse(composition(composition(B,converse(C)),V_3)),V_4))
% <->
% composition(composition(A,converse(V_3)),composition(composition(C,converse(B)),V_4))
% Current number of equations to process: 2866
% Current number of ordered equations: 1
% Current number of rules: 1770
% New rule produced :
% [1899]
% composition(composition(A,converse(V_3)),composition(composition(C,converse(B)),V_4))
% <->
% composition(A,composition(converse(composition(composition(B,converse(C)),V_3)),V_4))
% Current number of equations to process: 2866
% Current number of ordered equations: 0
% Current number of rules: 1771
% New rule produced :
% [1900]
% composition(converse(composition(composition(A,converse(B)),C)),composition(V_3,V_4))
% <->
% composition(converse(C),composition(composition(composition(B,converse(A)),V_3),V_4))
% Current number of equations to process: 2864
% Current number of ordered equations: 3
% Current number of rules: 1772
% New rule produced :
% [1901]
% composition(A,composition(composition(B,converse(V_4)),composition(V_3,
% converse(C)))) <->
% composition(composition(A,B),converse(composition(composition(C,converse(V_3)),V_4)))
% Current number of equations to process: 2864
% Current number of ordered equations: 2
% Current number of rules: 1773
% New rule produced :
% [1902]
% composition(composition(A,B),converse(composition(composition(C,converse(V_3)),V_4)))
% <->
% composition(A,composition(composition(B,converse(V_4)),composition(V_3,
% converse(C))))
% Current number of equations to process: 2864
% Current number of ordered equations: 1
% Current number of rules: 1774
% New rule produced :
% [1903]
% composition(converse(C),composition(composition(composition(B,converse(A)),V_3),V_4))
% <->
% composition(converse(composition(composition(A,converse(B)),C)),composition(V_3,V_4))
% Current number of equations to process: 2864
% Current number of ordered equations: 0
% Current number of rules: 1775
% New rule produced :
% [1904]
% composition(A,composition(converse(composition(composition(B,converse(C)),V_3)),V_4))
% <->
% composition(composition(composition(A,converse(V_3)),composition(C,converse(B))),V_4)
% Current number of equations to process: 2863
% Current number of ordered equations: 1
% Current number of rules: 1776
% New rule produced :
% [1905]
% composition(composition(composition(A,converse(V_3)),composition(C,converse(B))),V_4)
% <->
% composition(A,composition(converse(composition(composition(B,converse(C)),V_3)),V_4))
% Current number of equations to process: 2863
% Current number of ordered equations: 0
% Current number of rules: 1777
% New rule produced :
% [1906]
% composition(A,composition(B,converse(composition(composition(C,converse(V_3)),V_4))))
% <->
% composition(composition(A,composition(B,converse(V_4))),composition(V_3,
% converse(C)))
% Current number of equations to process: 2862
% Current number of ordered equations: 1
% Current number of rules: 1778
% New rule produced :
% [1907]
% composition(composition(A,composition(B,converse(V_4))),composition(V_3,
% converse(C))) <->
% composition(A,composition(B,converse(composition(composition(C,converse(V_3)),V_4))))
% Current number of equations to process: 2862
% Current number of ordered equations: 0
% Current number of rules: 1779
% New rule produced :
% [1908]
% composition(A,composition(B,converse(composition(composition(C,converse(V_3)),V_4))))
% <->
% composition(composition(composition(A,B),converse(V_4)),composition(V_3,
% converse(C)))
% Current number of equations to process: 2861
% Current number of ordered equations: 1
% Current number of rules: 1780
% New rule produced :
% [1909]
% composition(composition(composition(A,B),converse(V_4)),composition(V_3,
% converse(C))) <->
% composition(A,composition(B,converse(composition(composition(C,converse(V_3)),V_4))))
% Current number of equations to process: 2861
% Current number of ordered equations: 0
% Current number of rules: 1781
% New rule produced :
% [1910]
% converse(composition(composition(V_4,converse(composition(B,composition(C,V_3)))),A))
% <->
% composition(converse(A),composition(B,composition(C,composition(V_3,converse(V_4)))))
% Current number of equations to process: 2859
% Current number of ordered equations: 3
% Current number of rules: 1782
% New rule produced :
% [1911]
% composition(A,composition(converse(V_3),composition(composition(C,converse(B)),V_4)))
% <->
% composition(composition(A,converse(composition(composition(B,converse(C)),V_3))),V_4)
% Current number of equations to process: 2859
% Current number of ordered equations: 2
% Current number of rules: 1783
% New rule produced :
% [1912]
% composition(converse(A),composition(B,composition(C,composition(V_3,converse(V_4)))))
% <->
% converse(composition(composition(V_4,converse(composition(B,composition(C,V_3)))),A))
% Current number of equations to process: 2859
% Current number of ordered equations: 1
% Current number of rules: 1784
% New rule produced :
% [1913]
% composition(composition(A,converse(composition(composition(B,converse(C)),V_3))),V_4)
% <->
% composition(A,composition(converse(V_3),composition(composition(C,converse(B)),V_4)))
% Current number of equations to process: 2859
% Current number of ordered equations: 0
% Current number of rules: 1785
% New rule produced :
% [1914]
% converse(composition(composition(V_4,converse(composition(composition(B,C),V_3))),A))
% <->
% composition(converse(A),composition(B,composition(composition(C,V_3),
% converse(V_4))))
% Current number of equations to process: 2857
% Current number of ordered equations: 3
% Current number of rules: 1786
% New rule produced :
% [1915]
% composition(converse(A),composition(B,composition(composition(C,V_3),
% converse(V_4)))) <->
% converse(composition(composition(V_4,converse(composition(composition(B,C),V_3))),A))
% Current number of equations to process: 2857
% Current number of ordered equations: 2
% Current number of rules: 1787
% New rule produced :
% [1916]
% composition(converse(C),composition(composition(composition(B,converse(A)),V_3),V_4))
% <->
% composition(composition(converse(composition(composition(A,converse(B)),C)),V_3),V_4)
% Current number of equations to process: 2857
% Current number of ordered equations: 1
% Current number of rules: 1788
% New rule produced :
% [1917]
% composition(composition(converse(composition(composition(A,converse(B)),C)),V_3),V_4)
% <->
% composition(converse(C),composition(composition(composition(B,converse(A)),V_3),V_4))
% Current number of equations to process: 2857
% Current number of ordered equations: 0
% Current number of rules: 1789
% New rule produced :
% [1918]
% converse(composition(composition(V_4,converse(composition(composition(B,C),V_3))),A))
% <->
% composition(converse(A),composition(B,composition(C,composition(V_3,converse(V_4)))))
% Current number of equations to process: 2855
% Current number of ordered equations: 3
% Current number of rules: 1790
% New rule produced :
% [1919]
% composition(converse(A),composition(B,composition(C,composition(V_3,converse(V_4)))))
% <->
% converse(composition(composition(V_4,converse(composition(composition(B,C),V_3))),A))
% Current number of equations to process: 2855
% Current number of ordered equations: 2
% Current number of rules: 1791
% New rule produced :
% [1920]
% composition(converse(C),composition(composition(B,converse(A)),composition(V_3,V_4)))
% <->
% composition(composition(converse(composition(composition(A,converse(B)),C)),V_3),V_4)
% Current number of equations to process: 2855
% Current number of ordered equations: 1
% Current number of rules: 1792
% New rule produced :
% [1921]
% composition(composition(converse(composition(composition(A,converse(B)),C)),V_3),V_4)
% <->
% composition(converse(C),composition(composition(B,converse(A)),composition(V_3,V_4)))
% Current number of equations to process: 2855
% Current number of ordered equations: 0
% Current number of rules: 1793
% New rule produced :
% [1922]
% converse(composition(composition(V_4,converse(composition(B,composition(C,V_3)))),A))
% <->
% composition(converse(A),composition(composition(B,C),composition(V_3,
% converse(V_4))))
% Current number of equations to process: 2853
% Current number of ordered equations: 3
% Current number of rules: 1794
% New rule produced :
% [1923]
% composition(converse(A),composition(composition(B,C),composition(V_3,
% converse(V_4)))) <->
% converse(composition(composition(V_4,converse(composition(B,composition(C,V_3)))),A))
% Current number of equations to process: 2853
% Current number of ordered equations: 2
% Current number of rules: 1795
% New rule produced :
% [1924]
% composition(composition(A,converse(V_3)),composition(composition(C,converse(B)),V_4))
% <->
% composition(composition(A,converse(composition(composition(B,converse(C)),V_3))),V_4)
% Current number of equations to process: 2853
% Current number of ordered equations: 1
% Current number of rules: 1796
% New rule produced :
% [1925]
% composition(composition(A,converse(composition(composition(B,converse(C)),V_3))),V_4)
% <->
% composition(composition(A,converse(V_3)),composition(composition(C,converse(B)),V_4))
% Current number of equations to process: 2853
% Current number of ordered equations: 0
% Current number of rules: 1797
% New rule produced :
% [1926]
% composition(converse(composition(composition(A,converse(B)),C)),composition(V_3,V_4))
% <->
% composition(composition(converse(C),composition(composition(B,converse(A)),V_3)),V_4)
% Current number of equations to process: 2851
% Current number of ordered equations: 3
% Current number of rules: 1798
% New rule produced :
% [1927]
% composition(composition(A,B),converse(composition(composition(C,converse(V_3)),V_4)))
% <->
% composition(composition(A,composition(B,converse(V_4))),composition(V_3,
% converse(C)))
% Current number of equations to process: 2851
% Current number of ordered equations: 2
% Current number of rules: 1799
% New rule produced :
% [1928]
% composition(composition(A,composition(B,converse(V_4))),composition(V_3,
% converse(C))) <->
% composition(composition(A,B),converse(composition(composition(C,converse(V_3)),V_4)))
% Current number of equations to process: 2851
% Current number of ordered equations: 1
% Current number of rules: 1800
% New rule produced :
% [1929]
% composition(composition(converse(C),composition(composition(B,converse(A)),V_3)),V_4)
% <->
% composition(converse(composition(composition(A,converse(B)),C)),composition(V_3,V_4))
% Current number of equations to process: 2851
% Current number of ordered equations: 0
% Current number of rules: 1801
% New rule produced :
% [1930]
% composition(A,composition(converse(composition(C,converse(B))),V_3)) <->
% composition(composition(A,composition(B,converse(C))),V_3)
% Rule
% [1782]
% composition(converse(A),composition(converse(composition(C,converse(B))),V_3))
% <-> composition(composition(converse(A),composition(B,converse(C))),V_3)
% collapsed.
% Current number of equations to process: 2871
% Current number of ordered equations: 1
% Current number of rules: 1801
% New rule produced :
% [1931]
% composition(composition(A,composition(B,converse(C))),V_3) <->
% composition(A,composition(converse(composition(C,converse(B))),V_3))
% Rule
% [1783]
% composition(composition(converse(A),composition(B,converse(C))),V_3) <->
% composition(converse(A),composition(converse(composition(C,converse(B))),V_3))
% collapsed.
% Current number of equations to process: 2871
% Current number of ordered equations: 0
% Current number of rules: 1801
% New rule produced :
% [1932]
% converse(composition(converse(V_3),composition(composition(C,converse(B)),
% converse(A)))) <->
% composition(A,composition(composition(B,converse(C)),V_3))
% Current number of equations to process: 2870
% Current number of ordered equations: 1
% Current number of rules: 1802
% New rule produced :
% [1933]
% composition(A,composition(composition(B,converse(C)),V_3)) <->
% converse(composition(converse(V_3),composition(composition(C,converse(B)),
% converse(A))))
% Current number of equations to process: 2870
% Current number of ordered equations: 0
% Current number of rules: 1803
% New rule produced :
% [1934]
% converse(composition(composition(V_4,converse(V_3)),composition(B,composition(C,
% converse(A)))))
% <->
% composition(composition(A,converse(composition(B,C))),composition(V_3,
% converse(V_4)))
% Current number of equations to process: 2872
% Current number of ordered equations: 3
% Current number of rules: 1804
% New rule produced :
% [1935]
% converse(composition(composition(composition(V_3,composition(V_4,converse(C))),
% converse(B)),A)) <->
% composition(converse(A),composition(B,composition(C,converse(composition(V_3,V_4)))))
% Current number of equations to process: 2872
% Current number of ordered equations: 2
% Current number of rules: 1805
% New rule produced :
% [1936]
% composition(converse(A),composition(B,composition(C,converse(composition(V_3,V_4)))))
% <->
% converse(composition(composition(composition(V_3,composition(V_4,converse(C))),
% converse(B)),A))
% Current number of equations to process: 2872
% Current number of ordered equations: 1
% Current number of rules: 1806
% New rule produced :
% [1937]
% composition(composition(A,converse(composition(B,C))),composition(V_3,
% converse(V_4))) <->
% converse(composition(composition(V_4,converse(V_3)),composition(B,composition(C,
% converse(A)))))
% Current number of equations to process: 2872
% Current number of ordered equations: 0
% Current number of rules: 1807
% New rule produced :
% [1938]
% composition(A,composition(B,composition(C,converse(V_3)))) <->
% composition(composition(A,B),converse(composition(V_3,converse(C))))
% Rule
% [1820]
% composition(A,composition(converse(B),composition(C,converse(V_3)))) <->
% composition(composition(A,converse(B)),converse(composition(V_3,converse(C))))
% collapsed.
% Current number of equations to process: 2908
% Current number of ordered equations: 1
% Current number of rules: 1807
% New rule produced :
% [1939]
% composition(composition(A,B),converse(composition(V_3,converse(C)))) <->
% composition(A,composition(B,composition(C,converse(V_3))))
% Rule
% [1822]
% composition(composition(A,converse(B)),converse(composition(V_3,converse(C))))
% <-> composition(A,composition(converse(B),composition(C,converse(V_3))))
% collapsed.
% Current number of equations to process: 2908
% Current number of ordered equations: 0
% Current number of rules: 1807
% New rule produced :
% [1940]
% composition(A,converse(composition(B,composition(C,converse(V_3))))) <->
% composition(composition(composition(A,V_3),converse(C)),converse(B))
% Current number of equations to process: 2921
% Current number of ordered equations: 1
% Current number of rules: 1808
% New rule produced :
% [1941]
% composition(composition(composition(A,V_3),converse(C)),converse(B)) <->
% composition(A,converse(composition(B,composition(C,converse(V_3)))))
% Current number of equations to process: 2921
% Current number of ordered equations: 0
% Current number of rules: 1809
% New rule produced :
% [1942]
% converse(composition(V_3,composition(C,converse(composition(A,B))))) <->
% composition(A,composition(composition(B,converse(C)),converse(V_3)))
% Current number of equations to process: 2920
% Current number of ordered equations: 1
% Current number of rules: 1810
% New rule produced :
% [1943]
% composition(A,composition(composition(B,converse(C)),converse(V_3))) <->
% converse(composition(V_3,composition(C,converse(composition(A,B)))))
% Current number of equations to process: 2920
% Current number of ordered equations: 0
% Current number of rules: 1811
% New rule produced :
% [1944]
% composition(C,composition(converse(B),composition(converse(A),V_3))) <->
% composition(converse(composition(A,composition(B,converse(C)))),V_3)
% Current number of equations to process: 2919
% Current number of ordered equations: 1
% Current number of rules: 1812
% New rule produced :
% [1945]
% composition(converse(composition(A,composition(B,converse(C)))),V_3) <->
% composition(C,composition(converse(B),composition(converse(A),V_3)))
% Current number of equations to process: 2919
% Current number of ordered equations: 0
% Current number of rules: 1813
% New rule produced :
% [1946]
% converse(composition(V_3,composition(composition(converse(C),B),converse(A))))
% <-> composition(composition(A,composition(converse(B),C)),converse(V_3))
% Current number of equations to process: 2917
% Current number of ordered equations: 3
% Current number of rules: 1814
% New rule produced :
% [1947]
% converse(composition(composition(converse(V_3),C),composition(B,converse(A))))
% <-> composition(composition(A,converse(B)),composition(converse(C),V_3))
% Current number of equations to process: 2917
% Current number of ordered equations: 2
% Current number of rules: 1815
% New rule produced :
% [1948]
% composition(composition(A,composition(converse(B),C)),converse(V_3)) <->
% converse(composition(V_3,composition(composition(converse(C),B),converse(A))))
% Current number of equations to process: 2917
% Current number of ordered equations: 1
% Current number of rules: 1816
% New rule produced :
% [1949]
% composition(composition(A,converse(B)),composition(converse(C),V_3)) <->
% converse(composition(composition(converse(V_3),C),composition(B,converse(A))))
% Current number of equations to process: 2917
% Current number of ordered equations: 0
% Current number of rules: 1817
% New rule produced :
% [1950]
% converse(composition(composition(V_3,C),composition(B,converse(A)))) <->
% composition(composition(composition(A,converse(B)),converse(C)),converse(V_3))
% Current number of equations to process: 2915
% Current number of ordered equations: 3
% Current number of rules: 1818
% New rule produced :
% [1951]
% converse(composition(V_3,composition(composition(C,B),converse(A)))) <->
% composition(composition(composition(A,converse(B)),converse(C)),converse(V_3))
% Current number of equations to process: 2915
% Current number of ordered equations: 2
% Current number of rules: 1819
% New rule produced :
% [1952]
% composition(composition(composition(A,converse(B)),converse(C)),converse(V_3))
% <-> converse(composition(composition(V_3,C),composition(B,converse(A))))
% Current number of equations to process: 2915
% Current number of ordered equations: 1
% Current number of rules: 1820
% New rule produced :
% [1953]
% composition(composition(composition(A,converse(B)),converse(C)),converse(V_3))
% <-> converse(composition(V_3,composition(composition(C,B),converse(A))))
% Current number of equations to process: 2915
% Current number of ordered equations: 0
% Current number of rules: 1821
% New rule produced :
% [1954]
% converse(composition(V_3,composition(B,converse(composition(A,converse(C))))))
% <-> composition(composition(A,converse(composition(B,C))),converse(V_3))
% Current number of equations to process: 2914
% Current number of ordered equations: 1
% Current number of rules: 1822
% New rule produced :
% [1955]
% composition(composition(A,converse(composition(B,C))),converse(V_3)) <->
% converse(composition(V_3,composition(B,converse(composition(A,converse(C))))))
% Current number of equations to process: 2914
% Current number of ordered equations: 0
% Current number of rules: 1823
% New rule produced :
% [1956]
% composition(A,composition(converse(composition(B,composition(C,converse(V_3)))),V_4))
% <->
% composition(composition(A,composition(V_3,converse(C))),composition(converse(B),V_4))
% Current number of equations to process: 2915
% Current number of ordered equations: 1
% Current number of rules: 1824
% New rule produced :
% [1957]
% composition(composition(A,composition(V_3,converse(C))),composition(converse(B),V_4))
% <->
% composition(A,composition(converse(composition(B,composition(C,converse(V_3)))),V_4))
% Current number of equations to process: 2915
% Current number of ordered equations: 0
% Current number of rules: 1825
% New rule produced :
% [1958]
% composition(A,composition(composition(B,composition(V_4,converse(V_3))),
% converse(C))) <->
% composition(composition(A,B),converse(composition(C,composition(V_3,converse(V_4)))))
% Current number of equations to process: 2913
% Current number of ordered equations: 3
% Current number of rules: 1826
% New rule produced :
% [1959]
% composition(composition(A,B),converse(composition(C,composition(V_3,converse(V_4)))))
% <->
% composition(A,composition(composition(B,composition(V_4,converse(V_3))),
% converse(C)))
% Current number of equations to process: 2913
% Current number of ordered equations: 2
% Current number of rules: 1827
% New rule produced :
% [1960]
% composition(composition(C,converse(B)),composition(composition(converse(A),V_3),V_4))
% <->
% composition(converse(composition(A,composition(B,converse(C)))),composition(V_3,V_4))
% Current number of equations to process: 2913
% Current number of ordered equations: 1
% Current number of rules: 1828
% New rule produced :
% [1961]
% composition(converse(composition(A,composition(B,converse(C)))),composition(V_3,V_4))
% <->
% composition(composition(C,converse(B)),composition(composition(converse(A),V_3),V_4))
% Current number of equations to process: 2913
% Current number of ordered equations: 0
% Current number of rules: 1829
% New rule produced :
% [1962]
% composition(composition(composition(A,composition(V_3,converse(C))),converse(B)),V_4)
% <->
% composition(A,composition(converse(composition(B,composition(C,converse(V_3)))),V_4))
% Current number of equations to process: 2912
% Current number of ordered equations: 1
% Current number of rules: 1830
% New rule produced :
% [1963]
% composition(A,composition(converse(composition(B,composition(C,converse(V_3)))),V_4))
% <->
% composition(composition(composition(A,composition(V_3,converse(C))),converse(B)),V_4)
% Current number of equations to process: 2912
% Current number of ordered equations: 0
% Current number of rules: 1831
% New rule produced :
% [1964]
% composition(A,composition(B,converse(composition(C,composition(V_3,converse(V_4))))))
% <->
% composition(composition(A,composition(B,composition(V_4,converse(V_3)))),
% converse(C))
% Current number of equations to process: 2911
% Current number of ordered equations: 1
% Current number of rules: 1832
% New rule produced :
% [1965]
% composition(composition(A,composition(B,composition(V_4,converse(V_3)))),
% converse(C)) <->
% composition(A,composition(B,converse(composition(C,composition(V_3,converse(V_4))))))
% Current number of equations to process: 2911
% Current number of ordered equations: 0
% Current number of rules: 1833
% New rule produced :
% [1966]
% composition(A,composition(B,converse(composition(C,composition(V_3,converse(V_4))))))
% <->
% composition(composition(composition(A,B),composition(V_4,converse(V_3))),
% converse(C))
% Current number of equations to process: 2910
% Current number of ordered equations: 1
% Current number of rules: 1834
% New rule produced :
% [1967]
% composition(composition(composition(A,B),composition(V_4,converse(V_3))),
% converse(C)) <->
% composition(A,composition(B,converse(composition(C,composition(V_3,converse(V_4))))))
% Current number of equations to process: 2910
% Current number of ordered equations: 0
% Current number of rules: 1835
% New rule produced :
% [1968]
% converse(composition(V_4,composition(V_3,converse(composition(A,composition(B,C))))))
% <->
% composition(composition(A,composition(B,composition(C,converse(V_3)))),
% converse(V_4))
% Current number of equations to process: 2908
% Current number of ordered equations: 3
% Current number of rules: 1836
% New rule produced :
% [1969]
% composition(composition(A,converse(composition(B,composition(C,converse(V_3))))),V_4)
% <->
% composition(A,composition(composition(V_3,converse(C)),composition(converse(B),V_4)))
% Current number of equations to process: 2908
% Current number of ordered equations: 2
% Current number of rules: 1837
% New rule produced :
% [1970]
% composition(A,composition(composition(V_3,converse(C)),composition(converse(B),V_4)))
% <->
% composition(composition(A,converse(composition(B,composition(C,converse(V_3))))),V_4)
% Current number of equations to process: 2908
% Current number of ordered equations: 1
% Current number of rules: 1838
% New rule produced :
% [1971]
% composition(composition(A,composition(B,composition(C,converse(V_3)))),
% converse(V_4)) <->
% converse(composition(V_4,composition(V_3,converse(composition(A,composition(B,C))))))
% Current number of equations to process: 2908
% Current number of ordered equations: 0
% Current number of rules: 1839
% New rule produced :
% [1972]
% converse(composition(V_4,composition(V_3,converse(composition(composition(A,B),C)))))
% <->
% composition(composition(A,composition(composition(B,C),converse(V_3))),
% converse(V_4))
% Current number of equations to process: 2906
% Current number of ordered equations: 3
% Current number of rules: 1840
% New rule produced :
% [1973]
% composition(composition(C,converse(B)),composition(composition(converse(A),V_3),V_4))
% <->
% composition(composition(converse(composition(A,composition(B,converse(C)))),V_3),V_4)
% Current number of equations to process: 2906
% Current number of ordered equations: 2
% Current number of rules: 1841
% New rule produced :
% [1974]
% composition(composition(A,composition(composition(B,C),converse(V_3))),
% converse(V_4)) <->
% converse(composition(V_4,composition(V_3,converse(composition(composition(A,B),C)))))
% Current number of equations to process: 2906
% Current number of ordered equations: 1
% Current number of rules: 1842
% New rule produced :
% [1975]
% composition(composition(converse(composition(A,composition(B,converse(C)))),V_3),V_4)
% <->
% composition(composition(C,converse(B)),composition(composition(converse(A),V_3),V_4))
% Current number of equations to process: 2906
% Current number of ordered equations: 0
% Current number of rules: 1843
% New rule produced :
% [1976]
% converse(composition(V_4,composition(V_3,converse(composition(composition(A,B),C)))))
% <->
% composition(composition(A,composition(B,composition(C,converse(V_3)))),
% converse(V_4))
% Current number of equations to process: 2904
% Current number of ordered equations: 3
% Current number of rules: 1844
% New rule produced :
% [1977]
% composition(composition(C,converse(B)),composition(converse(A),composition(V_3,V_4)))
% <->
% composition(composition(converse(composition(A,composition(B,converse(C)))),V_3),V_4)
% Current number of equations to process: 2904
% Current number of ordered equations: 2
% Current number of rules: 1845
% New rule produced :
% [1978]
% composition(composition(A,composition(B,composition(C,converse(V_3)))),
% converse(V_4)) <->
% converse(composition(V_4,composition(V_3,converse(composition(composition(A,B),C)))))
% Current number of equations to process: 2904
% Current number of ordered equations: 1
% Current number of rules: 1846
% New rule produced :
% [1979]
% composition(composition(converse(composition(A,composition(B,converse(C)))),V_3),V_4)
% <->
% composition(composition(C,converse(B)),composition(converse(A),composition(V_3,V_4)))
% Current number of equations to process: 2904
% Current number of ordered equations: 0
% Current number of rules: 1847
% New rule produced :
% [1980]
% converse(composition(V_4,composition(V_3,converse(composition(A,composition(B,C))))))
% <->
% composition(composition(composition(A,B),composition(C,converse(V_3))),
% converse(V_4))
% Current number of equations to process: 2902
% Current number of ordered equations: 3
% Current number of rules: 1848
% New rule produced :
% [1981]
% composition(composition(A,converse(composition(B,composition(C,converse(V_3))))),V_4)
% <->
% composition(composition(A,composition(V_3,converse(C))),composition(converse(B),V_4))
% Current number of equations to process: 2902
% Current number of ordered equations: 2
% Current number of rules: 1849
% New rule produced :
% [1982]
% composition(composition(composition(A,B),composition(C,converse(V_3))),
% converse(V_4)) <->
% converse(composition(V_4,composition(V_3,converse(composition(A,composition(B,C))))))
% Current number of equations to process: 2902
% Current number of ordered equations: 1
% Current number of rules: 1850
% New rule produced :
% [1983]
% composition(composition(A,composition(V_3,converse(C))),composition(converse(B),V_4))
% <->
% composition(composition(A,converse(composition(B,composition(C,converse(V_3))))),V_4)
% Current number of equations to process: 2902
% Current number of ordered equations: 0
% Current number of rules: 1851
% New rule produced :
% [1984]
% composition(composition(A,B),converse(composition(C,composition(V_3,converse(V_4)))))
% <->
% composition(composition(A,composition(B,composition(V_4,converse(V_3)))),
% converse(C))
% Current number of equations to process: 2900
% Current number of ordered equations: 3
% Current number of rules: 1852
% New rule produced :
% [1985]
% composition(composition(A,composition(B,composition(V_4,converse(V_3)))),
% converse(C)) <->
% composition(composition(A,B),converse(composition(C,composition(V_3,converse(V_4)))))
% Current number of equations to process: 2900
% Current number of ordered equations: 2
% Current number of rules: 1853
% New rule produced :
% [1986]
% composition(composition(composition(C,converse(B)),composition(converse(A),V_3)),V_4)
% <->
% composition(converse(composition(A,composition(B,converse(C)))),composition(V_3,V_4))
% Current number of equations to process: 2900
% Current number of ordered equations: 1
% Current number of rules: 1854
% New rule produced :
% [1987]
% composition(converse(composition(A,composition(B,converse(C)))),composition(V_3,V_4))
% <->
% composition(composition(composition(C,converse(B)),composition(converse(A),V_3)),V_4)
% Current number of equations to process: 2900
% Current number of ordered equations: 0
% Current number of rules: 1855
% New rule produced :
% [1988]
% converse(composition(composition(V_3,converse(C)),converse(composition(A,B))))
% <-> composition(A,composition(B,composition(C,converse(V_3))))
% Current number of equations to process: 2926
% Current number of ordered equations: 1
% Current number of rules: 1856
% New rule produced :
% [1989]
% composition(A,composition(B,composition(C,converse(V_3)))) <->
% converse(composition(composition(V_3,converse(C)),converse(composition(A,B))))
% Current number of equations to process: 2926
% Current number of ordered equations: 0
% Current number of rules: 1857
% New rule produced :
% [1990]
% converse(composition(A,converse(composition(B,composition(C,converse(V_3))))))
% <-> composition(B,converse(composition(A,composition(V_3,converse(C)))))
% Current number of equations to process: 2925
% Current number of ordered equations: 1
% Current number of rules: 1858
% New rule produced :
% [1991]
% composition(B,converse(composition(A,composition(V_3,converse(C))))) <->
% converse(composition(A,converse(composition(B,composition(C,converse(V_3))))))
% Current number of equations to process: 2925
% Current number of ordered equations: 0
% Current number of rules: 1859
% New rule produced :
% [1992]
% converse(composition(A,converse(composition(B,composition(C,converse(V_3))))))
% <->
% composition(composition(B,converse(composition(V_3,converse(C)))),converse(A))
% Current number of equations to process: 2924
% Current number of ordered equations: 1
% Current number of rules: 1860
% New rule produced :
% [1993]
% composition(composition(B,converse(composition(V_3,converse(C)))),converse(A))
% <->
% converse(composition(A,converse(composition(B,composition(C,converse(V_3))))))
% Current number of equations to process: 2924
% Current number of ordered equations: 0
% Current number of rules: 1861
% New rule produced :
% [1994]
% converse(composition(converse(composition(A,composition(B,converse(C)))),V_3))
% <->
% composition(converse(V_3),composition(A,converse(composition(C,converse(B)))))
% Current number of equations to process: 2923
% Current number of ordered equations: 1
% Current number of rules: 1862
% New rule produced :
% [1995]
% composition(converse(V_3),composition(A,converse(composition(C,converse(B)))))
% <->
% converse(composition(converse(composition(A,composition(B,converse(C)))),V_3))
% Current number of equations to process: 2923
% Current number of ordered equations: 0
% Current number of rules: 1863
% New rule produced :
% [1996]
% composition(B,converse(A)) join composition(B,composition(C,V_3)) <->
% converse(composition(A,converse(B))) join composition(composition(B,C),V_3)
% Current number of equations to process: 2922
% Current number of ordered equations: 1
% Current number of rules: 1864
% New rule produced :
% [1997]
% converse(composition(A,converse(B))) join composition(composition(B,C),V_3)
% <-> composition(B,converse(A)) join composition(B,composition(C,V_3))
% Current number of equations to process: 2922
% Current number of ordered equations: 0
% Current number of rules: 1865
% New rule produced :
% [1998]
% composition(A,converse(B)) join composition(A,converse(C)) join complement(
% converse(
% composition(C,
% converse(A))))
% -> top
% Current number of equations to process: 2921
% Current number of ordered equations: 0
% Current number of rules: 1866
% New rule produced :
% [1999]
% converse(composition(V_4,composition(composition(C,composition(V_3,converse(B))),
% converse(A)))) <->
% composition(composition(A,composition(B,converse(composition(C,V_3)))),
% converse(V_4))
% Current number of equations to process: 2919
% Current number of ordered equations: 3
% Current number of rules: 1867
% New rule produced :
% [2000]
% converse(composition(composition(V_3,composition(V_4,converse(C))),composition(B,
% converse(A))))
% <->
% composition(composition(A,converse(B)),composition(C,converse(composition(V_3,V_4))))
% Current number of equations to process: 2919
% Current number of ordered equations: 2
% Current number of rules: 1868
% New rule produced :
% [2001]
% composition(composition(A,composition(B,converse(composition(C,V_3)))),
% converse(V_4)) <->
% converse(composition(V_4,composition(composition(C,composition(V_3,converse(B))),
% converse(A))))
% Current number of equations to process: 2919
% Current number of ordered equations: 1
% Current number of rules: 1869
% New rule produced :
% [2002]
% composition(composition(A,converse(B)),composition(C,converse(composition(V_3,V_4))))
% <->
% converse(composition(composition(V_3,composition(V_4,converse(C))),composition(B,
% converse(A))))
% Current number of equations to process: 2919
% Current number of ordered equations: 0
% Current number of rules: 1870
% New rule produced :
% [2003]
% composition(composition(A,converse(composition(B,C))),complement(composition(B,
% composition(C,
% converse(A))))) join
% complement(one) -> complement(one)
% Current number of equations to process: 2918
% Current number of ordered equations: 0
% Current number of rules: 1871
% New rule produced :
% [2004]
% converse(composition(A,composition(B,converse(complement(C))))) join
% composition(C,converse(composition(A,B))) ->
% converse(composition(composition(A,B),top))
% Current number of equations to process: 2916
% Current number of ordered equations: 1
% Current number of rules: 1872
% New rule produced :
% [2005]
% converse(composition(A,composition(B,converse(C)))) join composition(
% complement(C),
% converse(composition(A,B)))
% -> converse(composition(composition(A,B),top))
% Current number of equations to process: 2916
% Current number of ordered equations: 0
% Current number of rules: 1873
% New rule produced :
% [2006]
% converse(composition(A,composition(B,composition(composition(C,converse(V_3)),
% converse(V_4))))) <->
% composition(composition(composition(V_4,composition(V_3,converse(C))),
% converse(B)),converse(A))
% Current number of equations to process: 2915
% Current number of ordered equations: 1
% Current number of rules: 1874
% New rule produced :
% [2007]
% composition(composition(composition(V_4,composition(V_3,converse(C))),
% converse(B)),converse(A)) <->
% converse(composition(A,composition(B,composition(composition(C,converse(V_3)),
% converse(V_4)))))
% Current number of equations to process: 2915
% Current number of ordered equations: 0
% Current number of rules: 1875
% New rule produced :
% [2008]
% converse(composition(composition(A,composition(composition(B,converse(C)),
% converse(V_3))),V_4)) <->
% composition(converse(V_4),composition(composition(V_3,composition(C,converse(B))),
% converse(A)))
% Current number of equations to process: 2913
% Current number of ordered equations: 3
% Current number of rules: 1876
% New rule produced :
% [2009]
% converse(composition(A,composition(B,composition(converse(C),composition(V_3,
% converse(V_4))))))
% <->
% composition(composition(composition(composition(V_4,converse(V_3)),C),
% converse(B)),converse(A))
% Current number of equations to process: 2913
% Current number of ordered equations: 2
% Current number of rules: 1877
% New rule produced :
% [2010]
% composition(converse(V_4),composition(composition(V_3,composition(C,converse(B))),
% converse(A))) <->
% converse(composition(composition(A,composition(composition(B,converse(C)),
% converse(V_3))),V_4))
% Current number of equations to process: 2913
% Current number of ordered equations: 1
% Current number of rules: 1878
% New rule produced :
% [2011]
% composition(composition(composition(composition(V_4,converse(V_3)),C),
% converse(B)),converse(A)) <->
% converse(composition(A,composition(B,composition(converse(C),composition(V_3,
% converse(V_4))))))
% Current number of equations to process: 2913
% Current number of ordered equations: 0
% Current number of rules: 1879
% New rule produced :
% [2012]
% converse(composition(composition(A,composition(converse(B),composition(C,
% converse(V_3)))),V_4))
% <->
% composition(converse(V_4),composition(composition(composition(V_3,converse(C)),B),
% converse(A)))
% Current number of equations to process: 2912
% Current number of ordered equations: 1
% Current number of rules: 1880
% New rule produced :
% [2013]
% composition(converse(V_4),composition(composition(composition(V_3,converse(C)),B),
% converse(A))) <->
% converse(composition(composition(A,composition(converse(B),composition(C,
% converse(V_3)))),V_4))
% Current number of equations to process: 2912
% Current number of ordered equations: 0
% Current number of rules: 1881
% New rule produced :
% [2014]
% converse(composition(composition(V_4,converse(V_3)),composition(C,composition(B,
% converse(A)))))
% <->
% composition(composition(composition(A,converse(B)),converse(C)),composition(V_3,
% converse(V_4)))
% Current number of equations to process: 2910
% Current number of ordered equations: 3
% Current number of rules: 1882
% New rule produced :
% [2015]
% converse(composition(composition(composition(V_4,composition(V_3,converse(C))),
% converse(B)),A)) <->
% composition(converse(A),composition(B,composition(composition(C,converse(V_3)),
% converse(V_4))))
% Current number of equations to process: 2910
% Current number of ordered equations: 2
% Current number of rules: 1883
% New rule produced :
% [2016]
% composition(converse(A),composition(B,composition(composition(C,converse(V_3)),
% converse(V_4)))) <->
% converse(composition(composition(composition(V_4,composition(V_3,converse(C))),
% converse(B)),A))
% Current number of equations to process: 2910
% Current number of ordered equations: 1
% Current number of rules: 1884
% New rule produced :
% [2017]
% composition(composition(composition(A,converse(B)),converse(C)),composition(V_3,
% converse(V_4)))
% <->
% converse(composition(composition(V_4,converse(V_3)),composition(C,composition(B,
% converse(A)))))
% Current number of equations to process: 2910
% Current number of ordered equations: 0
% Current number of rules: 1885
% New rule produced :
% [2018]
% converse(composition(composition(V_4,converse(V_3)),composition(composition(C,
% converse(B)),A)))
% <->
% composition(composition(converse(A),composition(B,converse(C))),composition(V_3,
% converse(V_4)))
% Current number of equations to process: 2908
% Current number of ordered equations: 3
% Current number of rules: 1886
% New rule produced :
% [2019]
% converse(composition(composition(composition(composition(V_4,converse(V_3)),C),
% converse(B)),A)) <->
% composition(converse(A),composition(B,composition(converse(C),composition(V_3,
% converse(V_4)))))
% Current number of equations to process: 2908
% Current number of ordered equations: 2
% Current number of rules: 1887
% New rule produced :
% [2020]
% composition(converse(A),composition(B,composition(converse(C),composition(V_3,
% converse(V_4)))))
% <->
% converse(composition(composition(composition(composition(V_4,converse(V_3)),C),
% converse(B)),A))
% Current number of equations to process: 2908
% Current number of ordered equations: 1
% Current number of rules: 1888
% New rule produced :
% [2021]
% composition(composition(converse(A),composition(B,converse(C))),composition(V_3,
% converse(V_4)))
% <->
% converse(composition(composition(V_4,converse(V_3)),composition(composition(C,
% converse(B)),A)))
% Current number of equations to process: 2908
% Current number of ordered equations: 0
% Current number of rules: 1889
% New rule produced :
% [2022]
% converse(composition(A,composition(B,converse(C)))) join composition(
% complement(composition(C,
% converse(B))),
% converse(A)) ->
% converse(composition(A,top))
% Current number of equations to process: 2907
% Current number of ordered equations: 0
% Current number of rules: 1890
% New rule produced :
% [2023]
% converse(composition(V_4,composition(composition(V_3,composition(C,converse(B))),
% converse(A)))) <->
% composition(composition(A,composition(composition(B,converse(C)),converse(V_3))),
% converse(V_4))
% Current number of equations to process: 2905
% Current number of ordered equations: 3
% Current number of rules: 1891
% New rule produced :
% [2024]
% converse(composition(composition(V_4,composition(V_3,converse(C))),composition(B,
% converse(A))))
% <->
% composition(composition(A,converse(B)),composition(composition(C,converse(V_3)),
% converse(V_4)))
% Current number of equations to process: 2905
% Current number of ordered equations: 2
% Current number of rules: 1892
% New rule produced :
% [2025]
% composition(composition(A,composition(composition(B,converse(C)),converse(V_3))),
% converse(V_4)) <->
% converse(composition(V_4,composition(composition(V_3,composition(C,converse(B))),
% converse(A))))
% Current number of equations to process: 2905
% Current number of ordered equations: 1
% Current number of rules: 1893
% New rule produced :
% [2026]
% composition(composition(A,converse(B)),composition(composition(C,converse(V_3)),
% converse(V_4))) <->
% converse(composition(composition(V_4,composition(V_3,converse(C))),composition(B,
% converse(A))))
% Current number of equations to process: 2905
% Current number of ordered equations: 0
% Current number of rules: 1894
% New rule produced :
% [2027]
% converse(composition(V_4,composition(composition(composition(V_3,converse(C)),B),
% converse(A)))) <->
% composition(composition(A,composition(converse(B),composition(C,converse(V_3)))),
% converse(V_4))
% Current number of equations to process: 2903
% Current number of ordered equations: 3
% Current number of rules: 1895
% New rule produced :
% [2028]
% converse(composition(composition(composition(V_4,converse(V_3)),C),composition(B,
% converse(A))))
% <->
% composition(composition(A,converse(B)),composition(converse(C),composition(V_3,
% converse(V_4))))
% Current number of equations to process: 2903
% Current number of ordered equations: 2
% Current number of rules: 1896
% New rule produced :
% [2029]
% composition(composition(A,converse(B)),composition(converse(C),composition(V_3,
% converse(V_4))))
% <->
% converse(composition(composition(composition(V_4,converse(V_3)),C),composition(B,
% converse(A))))
% Current number of equations to process: 2903
% Current number of ordered equations: 1
% Current number of rules: 1897
% New rule produced :
% [2030]
% composition(composition(A,composition(converse(B),composition(C,converse(V_3)))),
% converse(V_4)) <->
% converse(composition(V_4,composition(composition(composition(V_3,converse(C)),B),
% converse(A))))
% Current number of equations to process: 2903
% Current number of ordered equations: 0
% Current number of rules: 1898
% New rule produced :
% [2031]
% complement(converse(composition(A,B))) join complement(composition(converse(C),
% complement(converse(
% composition(A,
% composition(B,
% converse(C)))))))
% -> top
% Current number of equations to process: 2902
% Current number of ordered equations: 0
% Current number of rules: 1899
% New rule produced :
% [2032]
% composition(A,complement(converse(composition(composition(B,converse(C)),A)))) join
% complement(composition(C,converse(B))) ->
% complement(composition(C,converse(B)))
% Current number of equations to process: 2897
% Current number of ordered equations: 0
% Current number of rules: 1900
% New rule produced :
% [2033]
% composition(C,converse(composition(A,B))) join composition(C,converse(V_3))
% <->
% converse(composition(A,composition(B,converse(C)))) join converse(composition(V_3,
% converse(C)))
% Current number of equations to process: 2895
% Current number of ordered equations: 1
% Current number of rules: 1901
% New rule produced :
% [2034]
% converse(composition(A,composition(B,converse(C)))) join converse(composition(V_3,
% converse(C)))
% <->
% composition(C,converse(composition(A,B))) join composition(C,converse(V_3))
% Current number of equations to process: 2895
% Current number of ordered equations: 0
% Current number of rules: 1902
% New rule produced :
% [2035]
% composition(composition(composition(A,converse(B)),converse(C)),complement(
% composition(C,
% composition(B,
% converse(A))))) join
% complement(one) -> complement(one)
% Current number of equations to process: 2893
% Current number of ordered equations: 0
% Current number of rules: 1903
% New rule produced :
% [2036]
% composition(composition(converse(A),composition(B,converse(C))),complement(
% composition(
% composition(C,
% converse(B)),A))) join
% complement(one) -> complement(one)
% Current number of equations to process: 2892
% Current number of ordered equations: 0
% Current number of rules: 1904
% New rule produced :
% [2037]
% composition(converse(A),complement(converse(composition(B,composition(C,
% converse(A)))))) join
% complement(converse(composition(B,C))) ->
% complement(converse(composition(B,C)))
% Current number of equations to process: 2879
% Current number of ordered equations: 0
% Current number of rules: 1905
% New rule produced :
% [2038]
% converse(composition(composition(A,converse(B)),C)) join composition(
% complement(converse(C)),
% composition(B,
% converse(A))) ->
% converse(composition(A,converse(composition(top,B))))
% Current number of equations to process: 2878
% Current number of ordered equations: 0
% Current number of rules: 1906
% New rule produced :
% [2039]
% composition(converse(composition(converse(A),B)),complement(converse(
% composition(
% composition(C,
% converse(B)),A)))) join
% complement(converse(C)) -> complement(converse(C))
% Current number of equations to process: 2877
% Current number of ordered equations: 0
% Current number of rules: 1907
% New rule produced :
% [2040]
% converse(composition(composition(A,converse(B)),C)) join composition(
% converse(complement(C)),
% composition(B,
% converse(A))) ->
% converse(composition(A,converse(composition(top,B))))
% Current number of equations to process: 2875
% Current number of ordered equations: 1
% Current number of rules: 1908
% New rule produced :
% [2041]
% converse(composition(composition(A,converse(B)),complement(C))) join
% composition(converse(C),composition(B,converse(A))) ->
% converse(composition(A,converse(composition(top,B))))
% Current number of equations to process: 2875
% Current number of ordered equations: 0
% Current number of rules: 1909
% New rule produced :
% [2042]
% composition(converse(composition(A,converse(B))),complement(converse(
% composition(C,
% composition(B,
% converse(A)))))) join
% complement(converse(C)) -> complement(converse(C))
% Current number of equations to process: 2874
% Current number of ordered equations: 0
% Current number of rules: 1910
% New rule produced :
% [2043]
% complement(converse(A)) join complement(composition(converse(composition(B,
% converse(C))),
% complement(converse(composition(A,
% composition(C,
% converse(B)))))))
% -> top
% Current number of equations to process: 2873
% Current number of ordered equations: 0
% Current number of rules: 1911
% New rule produced :
% [2044]
% composition(B,converse(composition(A,converse(C)))) join composition(B,
% converse(V_3)) <->
% converse(composition(A,converse(composition(B,C)))) join converse(composition(V_3,
% converse(B)))
% Current number of equations to process: 2986
% Current number of ordered equations: 1
% Current number of rules: 1912
% New rule produced :
% [2045]
% converse(composition(A,converse(composition(B,C)))) join converse(composition(V_3,
% converse(B)))
% <->
% composition(B,converse(composition(A,converse(C)))) join composition(B,
% converse(V_3))
% Current number of equations to process: 2986
% Current number of ordered equations: 0
% Current number of rules: 1913
% New rule produced :
% [2046]
% converse(composition(A,top)) join composition(B,converse(A)) ->
% converse(composition(A,top))
% Current number of equations to process: 3015
% Current number of ordered equations: 0
% Current number of rules: 1914
% Rule [1448]
% composition(composition(A,converse(B)),converse(C)) join composition(
% complement(A),
% converse(
% composition(C,B)))
% ->
% converse(composition(composition(C,B),converse(sk1))) join converse(
% composition(
% composition(C,B),
% converse(
% complement(sk1)))) is composed into
% [1448]
% composition(composition(A,converse(B)),converse(C)) join composition(
% complement(A),
% converse(composition(C,B)))
% -> converse(composition(composition(C,B),top))
% Rule [1447]
% composition(composition(complement(A),converse(B)),converse(C)) join
% composition(A,converse(composition(C,B))) ->
% converse(composition(composition(C,B),converse(sk1))) join converse(
% composition(
% composition(C,B),
% converse(
% complement(sk1)))) is composed into
% [1447]
% composition(composition(complement(A),converse(B)),converse(C)) join
% composition(A,converse(composition(C,B))) ->
% converse(composition(composition(C,B),top))
% New rule produced :
% [2047]
% converse(composition(A,converse(complement(B)))) join converse(composition(A,
% converse(B)))
% -> converse(composition(A,top))
% Current number of equations to process: 3027
% Current number of ordered equations: 0
% Current number of rules: 1915
% New rule produced :
% [2048]
% converse(composition(A,converse(B))) join converse(composition(A,converse(C))) join
% complement(composition(C,converse(A))) -> top
% Current number of equations to process: 3024
% Current number of ordered equations: 0
% Current number of rules: 1916
% New rule produced :
% [2049]
% converse(composition(composition(A,B),C)) join composition(V_3,converse(A))
% <->
% converse(composition(A,converse(V_3))) join converse(composition(A,composition(B,C)))
% Current number of equations to process: 3023
% Current number of ordered equations: 1
% Current number of rules: 1917
% New rule produced :
% [2050]
% converse(composition(A,converse(V_3))) join converse(composition(A,composition(B,C)))
% <->
% converse(composition(composition(A,B),C)) join composition(V_3,converse(A))
% Current number of equations to process: 3023
% Current number of ordered equations: 0
% Current number of rules: 1918
% New rule produced :
% [2051]
% composition(B,converse(composition(V_3,converse(C)))) join composition(B,
% converse(A)) <->
% converse(composition(A,converse(B))) join composition(B,composition(C,
% converse(V_3)))
% Current number of equations to process: 3022
% Current number of ordered equations: 1
% Current number of rules: 1919
% New rule produced :
% [2052]
% converse(composition(A,converse(B))) join composition(B,composition(C,
% converse(V_3))) <->
% composition(B,converse(composition(V_3,converse(C)))) join composition(B,
% converse(A))
% Current number of equations to process: 3022
% Current number of ordered equations: 0
% Current number of rules: 1920
% New rule produced :
% [2053]
% composition(A,composition(B,converse(C))) join composition(V_3,converse(C))
% <->
% converse(composition(C,converse(composition(A,B)))) join converse(composition(C,
% converse(V_3)))
% Current number of equations to process: 3021
% Current number of ordered equations: 1
% Current number of rules: 1921
% New rule produced :
% [2054]
% converse(composition(C,converse(composition(A,B)))) join converse(composition(C,
% converse(V_3)))
% <->
% composition(A,composition(B,converse(C))) join composition(V_3,converse(C))
% Current number of equations to process: 3021
% Current number of ordered equations: 0
% Current number of rules: 1922
% New rule produced :
% [2055]
% composition(complement(complement(converse(composition(A,top))) join B),A) join
% composition(complement(B),A) ->
% composition(complement(complement(converse(composition(A,top))) join B),A)
% Current number of equations to process: 3019
% Current number of ordered equations: 0
% Current number of rules: 1923
% New rule produced :
% [2056]
% composition(composition(A,converse(composition(B,C))),complement(composition(
% composition(B,
% composition(C,
% converse(A))),V_3))) join
% complement(V_3) -> complement(V_3)
% Current number of equations to process: 3018
% Current number of ordered equations: 0
% Current number of rules: 1924
% New rule produced :
% [2057]
% composition(composition(A,composition(B,converse(C))),complement(composition(
% composition(C,
% converse(
% composition(A,B))),V_3))) join
% complement(V_3) -> complement(V_3)
% Current number of equations to process: 3017
% Current number of ordered equations: 0
% Current number of rules: 1925
% New rule produced :
% [2058]
% composition(composition(A,converse(composition(B,C))),complement(composition(B,
% composition(
% composition(C,
% converse(A)),V_3)))) join
% complement(V_3) -> complement(V_3)
% Current number of equations to process: 3016
% Current number of ordered equations: 0
% Current number of rules: 1926
% New rule produced :
% [2059]
% composition(composition(A,composition(B,converse(C))),complement(composition(C,
% composition(
% converse(
% composition(A,B)),V_3)))) join
% complement(V_3) -> complement(V_3)
% Current number of equations to process: 3015
% Current number of ordered equations: 0
% Current number of rules: 1927
% New rule produced :
% [2060]
% composition(A,converse(composition(B,C))) join composition(V_3,converse(B))
% <->
% converse(composition(B,converse(composition(A,converse(C))))) join converse(
% composition(B,
% converse(V_3)))
% Current number of equations to process: 3141
% Current number of ordered equations: 1
% Current number of rules: 1928
% New rule produced :
% [2061]
% converse(composition(B,converse(composition(A,converse(C))))) join converse(
% composition(B,
% converse(V_3)))
% <->
% composition(A,converse(composition(B,C))) join composition(V_3,converse(B))
% Current number of equations to process: 3141
% Current number of ordered equations: 0
% Current number of rules: 1929
% New rule produced :
% [2062]
% composition(A,converse(B)) join composition(C,converse(B)) join complement(
% converse(
% composition(B,
% converse(C))))
% -> top
% Current number of equations to process: 3179
% Current number of ordered equations: 0
% Current number of rules: 1930
% New rule produced :
% [2063]
% converse(composition(A,converse(B))) join converse(composition(A,converse(C))) join
% converse(complement(converse(composition(C,converse(A))))) -> top
% Current number of equations to process: 3177
% Current number of ordered equations: 0
% Current number of rules: 1931
% New rule produced :
% [2064]
% converse(composition(A,composition(B,converse(C)))) join composition(V_3,
% converse(A)) <->
% converse(composition(A,converse(composition(C,converse(B))))) join converse(
% composition(A,
% converse(V_3)))
% Current number of equations to process: 3176
% Current number of ordered equations: 1
% Current number of rules: 1932
% New rule produced :
% [2065]
% converse(composition(A,converse(composition(C,converse(B))))) join converse(
% composition(A,
% converse(V_3)))
% <->
% converse(composition(A,composition(B,converse(C)))) join composition(V_3,
% converse(A))
% Current number of equations to process: 3176
% Current number of ordered equations: 0
% Current number of rules: 1933
% New rule produced :
% [2066]
% converse(composition(A,converse(B))) join converse(composition(A,composition(C,
% converse(V_3))))
% <->
% composition(composition(V_3,converse(C)),converse(A)) join composition(B,
% converse(A))
% Current number of equations to process: 3221
% Current number of ordered equations: 1
% Current number of rules: 1934
% New rule produced :
% [2067]
% composition(composition(V_3,converse(C)),converse(A)) join composition(B,
% converse(A)) <->
% converse(composition(A,converse(B))) join converse(composition(A,composition(C,
% converse(V_3))))
% Current number of equations to process: 3221
% Current number of ordered equations: 0
% Current number of rules: 1935
% New rule produced :
% [2068]
% composition(composition(converse(V_3),C),converse(A)) join composition(B,
% converse(A)) <->
% converse(composition(A,converse(B))) join converse(composition(A,composition(
% converse(C),V_3)))
% Current number of equations to process: 3220
% Current number of ordered equations: 1
% Current number of rules: 1936
% New rule produced :
% [2069]
% converse(composition(A,converse(B))) join converse(composition(A,composition(
% converse(C),V_3)))
% <->
% composition(composition(converse(V_3),C),converse(A)) join composition(B,
% converse(A))
% Current number of equations to process: 3220
% Current number of ordered equations: 0
% Current number of rules: 1937
% New rule produced :
% [2070]
% converse(composition(composition(A,converse(B)),converse(C))) join converse(
% composition(A,
% converse(V_3)))
% <->
% composition(composition(C,B),converse(A)) join composition(V_3,converse(A))
% Current number of equations to process: 3275
% Current number of ordered equations: 1
% Current number of rules: 1938
% New rule produced :
% [2071]
% composition(composition(C,B),converse(A)) join composition(V_3,converse(A))
% <->
% converse(composition(composition(A,converse(B)),converse(C))) join converse(
% composition(A,
% converse(V_3)))
% Current number of equations to process: 3275
% Current number of ordered equations: 0
% Current number of rules: 1939
% New rule produced :
% [2072]
% composition(composition(A,converse(B)),complement(composition(composition(B,
% converse(A)),
% complement(C)))) join C ->
% C
% Current number of equations to process: 3306
% Current number of ordered equations: 0
% Current number of rules: 1940
% New rule produced :
% [2073]
% composition(composition(C,V_3),converse(A)) join composition(B,converse(A))
% <->
% converse(composition(A,converse(B))) join composition(C,composition(V_3,
% converse(A)))
% Current number of equations to process: 3305
% Current number of ordered equations: 1
% Current number of rules: 1941
% New rule produced :
% [2074]
% converse(composition(A,converse(B))) join composition(C,composition(V_3,
% converse(A))) <->
% composition(composition(C,V_3),converse(A)) join composition(B,converse(A))
% Current number of equations to process: 3305
% Current number of ordered equations: 0
% Current number of rules: 1942
% New rule produced :
% [2075]
% composition(composition(A,converse(B)),complement(composition(composition(B,
% converse(A)),C))) join
% complement(composition(one,C)) -> complement(composition(one,C))
% Current number of equations to process: 3303
% Current number of ordered equations: 0
% Current number of rules: 1943
% New rule produced :
% [2076]
% composition(complement(complement(converse(composition(A,top))) join
% complement(B)),A) join composition(B,A) ->
% composition(complement(complement(converse(composition(A,top))) join
% complement(B)),A)
% Rule
% [1490]
% converse(composition(converse(A),B)) join composition(converse(B),A) join
% composition(complement(complement(converse(composition(A,top))) join
% complement(converse(B))),A) ->
% composition(converse(B),A) join composition(complement(complement(converse(
% composition(A,top))) join
% complement(converse(B))),A)
% collapsed.
% Current number of equations to process: 3303
% Current number of ordered equations: 0
% Current number of rules: 1943
% New rule produced :
% [2077]
% converse(complement(converse(composition(A,composition(B,C))))) join
% composition(composition(A,B),C) join composition(composition(V_3,B),C) -> top
% Current number of equations to process: 3302
% Current number of ordered equations: 0
% Current number of rules: 1944
% New rule produced :
% [2078]
% converse(complement(converse(composition(composition(A,B),C)))) join
% composition(A,composition(B,C)) join composition(V_3,composition(B,C)) -> top
% Current number of equations to process: 3301
% Current number of ordered equations: 0
% Current number of rules: 1945
% New rule produced :
% [2079]
% complement(complement(converse(complement(converse(complement(A)))) join
% composition(converse(B),complement(composition(B,A))) join C) join
% complement(A)) -> A
% Current number of equations to process: 3298
% Current number of ordered equations: 0
% Current number of rules: 1946
% New rule produced :
% [2080]
% composition(converse(complement(composition(A,B))),complement(composition(A,
% composition(B,C)))) join
% complement(C) ->
% composition(top,complement(composition(A,composition(B,C)))) join complement(C)
% Current number of equations to process: 3297
% Current number of ordered equations: 0
% Current number of rules: 1947
% New rule produced :
% [2081]
% converse(complement(composition(A,composition(B,converse(C))) join V_3)) join
% converse(V_3) join composition(C,converse(composition(A,B))) -> top
% Current number of equations to process: 3296
% Current number of ordered equations: 0
% Current number of rules: 1948
% New rule produced :
% [2082]
% complement(composition(composition(A,converse(composition(B,C))),complement(
% composition(
% composition(B,
% composition(C,
% converse(A))),V_3)))) join
% complement(V_3) -> top
% Current number of equations to process: 3295
% Current number of ordered equations: 0
% Current number of rules: 1949
% New rule produced :
% [2083]
% composition(converse(complement(composition(A,composition(B,converse(C))))),V_3) join
% composition(composition(C,converse(composition(A,B))),V_3) ->
% composition(top,V_3)
% Current number of equations to process: 3294
% Current number of ordered equations: 0
% Current number of rules: 1950
% New rule produced :
% [2084]
% composition(composition(B,C),converse(A)) join composition(composition(B,C),
% converse(V_3)) <->
% converse(composition(A,converse(composition(B,C)))) join composition(B,
% composition(C,
% converse(V_3)))
% Current number of equations to process: 3292
% Current number of ordered equations: 1
% Current number of rules: 1951
% New rule produced :
% [2085]
% converse(composition(A,converse(composition(B,C)))) join composition(B,
% composition(C,
% converse(V_3))) <->
% composition(composition(B,C),converse(A)) join composition(composition(B,C),
% converse(V_3))
% Current number of equations to process: 3292
% Current number of ordered equations: 0
% Current number of rules: 1952
% New rule produced :
% [2086]
% composition(complement(A),converse(B)) <->
% converse(composition(B,converse(composition(converse(C),complement(composition(C,A)))))) join
% converse(composition(B,converse(complement(A))))
% Current number of equations to process: 3290
% Current number of ordered equations: 1
% Current number of rules: 1953
% New rule produced :
% [2087]
% converse(composition(B,converse(composition(converse(C),complement(composition(C,A)))))) join
% converse(composition(B,converse(complement(A)))) <->
% composition(complement(A),converse(B))
% Current number of equations to process: 3290
% Current number of ordered equations: 0
% Current number of rules: 1954
% New rule produced :
% [2088]
% composition(composition(A,converse(B)),complement(composition(B,converse(
% composition(C,A))))) join
% complement(converse(C)) -> complement(converse(C))
% Current number of equations to process: 3356
% Current number of ordered equations: 0
% Current number of rules: 1955
% New rule produced :
% [2089]
% composition(composition(A,converse(B)),complement(converse(composition(C,
% converse(composition(B,
% converse(A))))))) join
% complement(converse(C)) -> complement(converse(C))
% Current number of equations to process: 3371
% Current number of ordered equations: 0
% Current number of rules: 1956
% New rule produced :
% [2090]
% composition(composition(A,converse(composition(B,C))),complement(composition(B,
% composition(C,
% composition(
% converse(A),V_3))))) join
% complement(V_3) -> complement(V_3)
% Current number of equations to process: 3384
% Current number of ordered equations: 0
% Current number of rules: 1957
% Rule [1772]
% converse(composition(composition(A,converse(B)),C)) <->
% composition(converse(composition(one,C)),composition(B,converse(A))) is composed into
% [1772]
% converse(composition(composition(A,converse(B)),C)) <->
% composition(converse(C),composition(B,converse(A)))
% Rule [1476]
% composition(complement(complement(composition(converse(A),complement(A)) join B) join
% complement(one)),C) join composition(complement(
% complement(one) join B),C)
% -> composition(one,C) is composed into [1476]
% composition(complement(complement(
% composition(
% converse(A),
% complement(A)) join B) join
% complement(one)),C) join
% composition(complement(complement(one) join B),C)
% -> C
% Rule [639]
% composition(composition(composition(A,B),C),V_3) <->
% composition(A,composition(composition(composition(one,B),C),V_3)) is composed into
% [639]
% composition(composition(composition(A,B),C),V_3) <->
% composition(A,composition(composition(B,C),V_3))
% Rule [328]
% composition(composition(A,B),composition(C,V_3)) <->
% composition(A,composition(composition(composition(one,B),C),V_3)) is composed into
% [328]
% composition(composition(A,B),composition(C,V_3)) <->
% composition(A,composition(composition(B,C),V_3))
% Rule [253]
% composition(converse(composition(A,B)),C) <->
% composition(converse(composition(one,B)),composition(converse(A),C)) is composed into
% [253]
% composition(converse(composition(A,B)),C) <->
% composition(converse(B),composition(converse(A),C))
% Rule [183]
% composition(A,converse(composition(B,C))) <->
% composition(composition(A,converse(composition(one,C))),converse(B)) is composed into
% [183]
% composition(A,converse(composition(B,C))) <->
% composition(composition(A,converse(C)),converse(B))
% Rule [152]
% composition(converse(B),A) <->
% converse(composition(converse(composition(one,A)),B)) is composed into
% [152] composition(converse(B),A) <-> converse(composition(converse(A),B))
% Rule [146]
% converse(composition(converse(A),B)) <->
% composition(converse(composition(one,B)),A) is composed into [146]
% converse(
% composition(
% converse(A),B))
% <->
% composition(
% converse(B),A)
% New rule produced : [2091] composition(one,A) -> A
% Rule [23] composition(A,composition(one,B)) -> composition(A,B) collapsed.
% Rule
% [140]
% composition(A,composition(composition(one,B),C)) ->
% composition(A,composition(B,C)) collapsed.
% Rule
% [145]
% composition(converse(A),complement(composition(A,B))) join complement(
% composition(one,B))
% -> complement(composition(one,B)) collapsed.
% Rule
% [147]
% composition(converse(composition(one,B)),A) <->
% converse(composition(converse(A),B)) collapsed.
% Rule
% [151]
% converse(composition(converse(composition(one,A)),B)) <->
% composition(converse(B),A) collapsed.
% Rule
% [184]
% composition(composition(A,converse(composition(one,C))),converse(B)) <->
% composition(A,converse(composition(B,C))) collapsed.
% Rule
% [252]
% composition(converse(composition(one,B)),composition(converse(A),C)) <->
% composition(converse(composition(A,B)),C) collapsed.
% Rule
% [327]
% composition(A,composition(composition(composition(one,B),C),V_3)) <->
% composition(composition(A,B),composition(C,V_3)) collapsed.
% Rule
% [638]
% composition(A,composition(composition(composition(one,B),C),V_3)) <->
% composition(composition(composition(A,B),C),V_3) collapsed.
% Rule
% [1027]
% composition(A,complement(composition(converse(A),B))) join complement(
% composition(one,B))
% -> complement(composition(one,B)) collapsed.
% Rule
% [1086]
% complement(composition(one,A)) join complement(composition(converse(B),
% complement(composition(B,A))))
% -> top collapsed.
% Rule
% [1104]
% converse(composition(converse(A),complement(composition(A,B)))) join
% converse(complement(composition(one,B))) ->
% converse(complement(composition(one,B))) collapsed.
% Rule
% [1161]
% composition(converse(composition(A,B)),complement(composition(A,composition(B,C)))) join
% complement(composition(one,C)) -> complement(composition(one,C)) collapsed.
% Rule
% [1184]
% composition(converse(A),complement(composition(composition(A,B),C))) join
% complement(composition(composition(one,B),C)) ->
% complement(composition(composition(one,B),C)) collapsed.
% Rule
% [1201]
% composition(converse(composition(one,A)),complement(composition(composition(A,B),C))) join
% complement(composition(B,C)) -> complement(composition(B,C)) collapsed.
% Rule
% [1203]
% composition(composition(converse(A),complement(composition(A,B))),C) join
% composition(complement(composition(one,B)),C) ->
% composition(complement(composition(one,B)),C) collapsed.
% Rule
% [1407]
% complement(complement(converse(composition(one,top))) join complement(A)) ->
% A collapsed.
% Rule
% [1773]
% composition(converse(composition(one,C)),composition(B,converse(A))) <->
% converse(composition(composition(A,converse(B)),C)) collapsed.
% Rule
% [2075]
% composition(composition(A,converse(B)),complement(composition(composition(B,
% converse(A)),C))) join
% complement(composition(one,C)) -> complement(composition(one,C)) collapsed.
% Current number of equations to process: 3408
% Current number of ordered equations: 0
% Current number of rules: 1939
% Rule [1279]
% converse(complement(complement(composition(converse(A),complement(A)) join B) join
% complement(one))) join converse(complement(complement(one) join B))
% -> converse(one) is composed into [1279]
% converse(complement(complement(
% composition(
% converse(A),
% complement(A)) join B) join
% complement(one))) join
% converse(complement(complement(one) join B))
% -> one
% New rule produced : [2092] converse(one) -> one
% Rule [109] composition(converse(one),A) -> A collapsed.
% Rule
% [150]
% composition(A,converse(composition(B,converse(one)))) ->
% composition(A,converse(B)) collapsed.
% Rule
% [162]
% composition(composition(A,converse(one)),converse(B)) ->
% composition(A,converse(B)) collapsed.
% Rule
% [1156]
% complement(complement(composition(A,converse(one))) join complement(A) join
% complement(B)) -> complement(complement(A) join complement(B))
% collapsed.
% Rule
% [1844]
% converse(composition(composition(A,converse(one)),B)) ->
% converse(composition(A,B)) collapsed.
% Current number of equations to process: 3408
% Current number of ordered equations: 0
% Current number of rules: 1935
% New rule produced :
% [2093] composition(complement(one),A) join A -> composition(top,A)
% Current number of equations to process: 3407
% Current number of ordered equations: 0
% Current number of rules: 1936
% New rule produced :
% [2094]
% converse(composition(V_3,composition(composition(converse(C),A),B))) <->
% composition(composition(converse(composition(A,B)),C),converse(V_3))
% Current number of equations to process: 3413
% Current number of ordered equations: 3
% Current number of rules: 1937
% New rule produced :
% [2095]
% converse(composition(composition(composition(converse(V_3),B),C),A)) <->
% composition(converse(A),composition(converse(composition(B,C)),V_3))
% Current number of equations to process: 3413
% Current number of ordered equations: 2
% Current number of rules: 1938
% New rule produced :
% [2096]
% composition(converse(A),composition(converse(composition(B,C)),V_3)) <->
% converse(composition(composition(composition(converse(V_3),B),C),A))
% Current number of equations to process: 3413
% Current number of ordered equations: 1
% Current number of rules: 1939
% New rule produced :
% [2097]
% composition(composition(converse(composition(A,B)),C),converse(V_3)) <->
% converse(composition(V_3,composition(composition(converse(C),A),B)))
% Current number of equations to process: 3413
% Current number of ordered equations: 0
% Current number of rules: 1940
% New rule produced :
% [2098]
% converse(composition(composition(converse(A),composition(converse(B),C)),V_3))
% <-> composition(converse(composition(C,V_3)),composition(B,A))
% Current number of equations to process: 3411
% Current number of ordered equations: 3
% Current number of rules: 1941
% New rule produced :
% [2099]
% composition(converse(composition(C,V_3)),composition(B,A)) <->
% converse(composition(composition(converse(A),composition(converse(B),C)),V_3))
% Current number of equations to process: 3411
% Current number of ordered equations: 2
% Current number of rules: 1942
% New rule produced :
% [2100]
% composition(converse(B),composition(converse(composition(converse(C),A)),V_3))
% <-> composition(composition(converse(composition(A,B)),C),V_3)
% Current number of equations to process: 3411
% Current number of ordered equations: 1
% Current number of rules: 1943
% New rule produced :
% [2101]
% composition(composition(converse(composition(A,B)),C),V_3) <->
% composition(converse(B),composition(converse(composition(converse(C),A)),V_3))
% Current number of equations to process: 3411
% Current number of ordered equations: 0
% Current number of rules: 1944
% New rule produced :
% [2102]
% converse(composition(converse(A),composition(composition(B,C),V_3))) <->
% composition(converse(composition(B,composition(C,V_3))),A)
% Current number of equations to process: 3456
% Current number of ordered equations: 1
% Current number of rules: 1945
% New rule produced :
% [2103]
% composition(converse(composition(B,composition(C,V_3))),A) <->
% converse(composition(converse(A),composition(composition(B,C),V_3)))
% Current number of equations to process: 3456
% Current number of ordered equations: 0
% Current number of rules: 1946
% New rule produced :
% [2104]
% converse(composition(converse(A),composition(B,composition(C,V_3)))) <->
% composition(converse(composition(composition(B,C),V_3)),A)
% Current number of equations to process: 3455
% Current number of ordered equations: 1
% Current number of rules: 1947
% New rule produced :
% [2105]
% composition(converse(composition(composition(B,C),V_3)),A) <->
% converse(composition(converse(A),composition(B,composition(C,V_3))))
% Current number of equations to process: 3455
% Current number of ordered equations: 0
% Current number of rules: 1948
% New rule produced :
% [2106]
% composition(composition(composition(converse(V_3),B),C),converse(A)) <->
% converse(composition(A,composition(converse(composition(B,C)),V_3)))
% Current number of equations to process: 3454
% Current number of ordered equations: 1
% Current number of rules: 1949
% New rule produced :
% [2107]
% converse(composition(A,composition(converse(composition(B,C)),V_3))) <->
% composition(composition(composition(converse(V_3),B),C),converse(A))
% Current number of equations to process: 3454
% Current number of ordered equations: 0
% Current number of rules: 1950
% New rule produced :
% [2108]
% converse(composition(composition(converse(composition(A,B)),C),V_3)) <->
% composition(converse(V_3),composition(composition(converse(C),A),B))
% Current number of equations to process: 3452
% Current number of ordered equations: 3
% Current number of rules: 1951
% New rule produced :
% [2109]
% converse(composition(composition(composition(converse(A),B),C),V_3)) <->
% composition(converse(composition(C,V_3)),composition(converse(B),A))
% Current number of equations to process: 3452
% Current number of ordered equations: 2
% Current number of rules: 1952
% New rule produced :
% [2110]
% composition(converse(composition(C,V_3)),composition(converse(B),A)) <->
% converse(composition(composition(composition(converse(A),B),C),V_3))
% Current number of equations to process: 3452
% Current number of ordered equations: 1
% Current number of rules: 1953
% New rule produced :
% [2111]
% composition(converse(V_3),composition(composition(converse(C),A),B)) <->
% converse(composition(composition(converse(composition(A,B)),C),V_3))
% Current number of equations to process: 3452
% Current number of ordered equations: 0
% Current number of rules: 1954
% New rule produced :
% [2112]
% converse(composition(composition(converse(composition(A,B)),C),V_3)) <->
% composition(converse(composition(composition(converse(A),C),V_3)),B)
% Current number of equations to process: 3451
% Current number of ordered equations: 1
% Current number of rules: 1955
% New rule produced :
% [2113]
% composition(converse(composition(composition(converse(A),C),V_3)),B) <->
% converse(composition(composition(converse(composition(A,B)),C),V_3))
% Current number of equations to process: 3451
% Current number of ordered equations: 0
% Current number of rules: 1956
% New rule produced :
% [2114]
% converse(composition(composition(composition(converse(V_3),B),C),converse(A)))
% <-> composition(A,composition(converse(composition(B,C)),V_3))
% Current number of equations to process: 3450
% Current number of ordered equations: 1
% Current number of rules: 1957
% New rule produced :
% [2115]
% composition(A,composition(converse(composition(B,C)),V_3)) <->
% converse(composition(composition(composition(converse(V_3),B),C),converse(A)))
% Current number of equations to process: 3450
% Current number of ordered equations: 0
% Current number of rules: 1958
% New rule produced :
% [2116]
% converse(composition(converse(V_3),composition(composition(converse(C),A),B)))
% <-> composition(composition(converse(composition(A,B)),C),V_3)
% Current number of equations to process: 3449
% Current number of ordered equations: 1
% Current number of rules: 1959
% New rule produced :
% [2117]
% composition(composition(converse(composition(A,B)),C),V_3) <->
% converse(composition(converse(V_3),composition(composition(converse(C),A),B)))
% Current number of equations to process: 3449
% Current number of ordered equations: 0
% Current number of rules: 1960
% New rule produced :
% [2118]
% composition(A,composition(converse(composition(B,C)),V_3)) <->
% composition(composition(A,converse(C)),converse(composition(converse(V_3),B)))
% Current number of equations to process: 3448
% Current number of ordered equations: 1
% Current number of rules: 1961
% New rule produced :
% [2119]
% composition(composition(A,converse(C)),converse(composition(converse(V_3),B)))
% <-> composition(A,composition(converse(composition(B,C)),V_3))
% Current number of equations to process: 3448
% Current number of ordered equations: 0
% Current number of rules: 1962
% New rule produced :
% [2120]
% converse(complement(composition(composition(converse(A),B),C))) join
% composition(converse(composition(B,C)),A) -> top
% Current number of equations to process: 3449
% Current number of ordered equations: 0
% Current number of rules: 1963
% New rule produced :
% [2121]
% converse(composition(composition(composition(converse(A),B),converse(C)),
% converse(V_3))) <->
% composition(converse(composition(B,converse(composition(V_3,C)))),A)
% Current number of equations to process: 3448
% Current number of ordered equations: 1
% Current number of rules: 1964
% New rule produced :
% [2122]
% composition(converse(composition(B,converse(composition(V_3,C)))),A) <->
% converse(composition(composition(composition(converse(A),B),converse(C)),
% converse(V_3)))
% Current number of equations to process: 3448
% Current number of ordered equations: 0
% Current number of rules: 1965
% New rule produced :
% [2123]
% converse(composition(composition(composition(converse(A),B),composition(C,V_3)),V_4))
% <->
% composition(converse(composition(composition(composition(B,C),V_3),V_4)),A)
% Current number of equations to process: 3446
% Current number of ordered equations: 3
% Current number of rules: 1966
% New rule produced :
% [2124]
% converse(composition(composition(composition(converse(A),B),C),composition(V_3,V_4)))
% <->
% composition(converse(composition(B,composition(composition(C,V_3),V_4))),A)
% Current number of equations to process: 3446
% Current number of ordered equations: 2
% Current number of rules: 1967
% New rule produced :
% [2125]
% composition(converse(composition(B,composition(composition(C,V_3),V_4))),A)
% <->
% converse(composition(composition(composition(converse(A),B),C),composition(V_3,V_4)))
% Current number of equations to process: 3446
% Current number of ordered equations: 1
% Current number of rules: 1968
% New rule produced :
% [2126]
% composition(converse(composition(composition(composition(B,C),V_3),V_4)),A)
% <->
% converse(composition(composition(composition(converse(A),B),composition(C,V_3)),V_4))
% Current number of equations to process: 3446
% Current number of ordered equations: 0
% Current number of rules: 1969
% New rule produced :
% [2127]
% converse(composition(composition(composition(composition(converse(A),B),C),V_3),V_4))
% <->
% composition(converse(composition(B,composition(composition(C,V_3),V_4))),A)
% Current number of equations to process: 3444
% Current number of ordered equations: 3
% Current number of rules: 1970
% New rule produced :
% [2128]
% converse(composition(composition(composition(composition(converse(A),B),C),V_3),V_4))
% <->
% composition(converse(composition(composition(composition(B,C),V_3),V_4)),A)
% Current number of equations to process: 3444
% Current number of ordered equations: 2
% Current number of rules: 1971
% New rule produced :
% [2129]
% composition(converse(composition(B,composition(composition(C,V_3),V_4))),A)
% <->
% converse(composition(composition(composition(composition(converse(A),B),C),V_3),V_4))
% Current number of equations to process: 3444
% Current number of ordered equations: 1
% Current number of rules: 1972
% New rule produced :
% [2130]
% composition(converse(composition(composition(composition(B,C),V_3),V_4)),A)
% <->
% converse(composition(composition(composition(composition(converse(A),B),C),V_3),V_4))
% Current number of equations to process: 3444
% Current number of ordered equations: 0
% Current number of rules: 1973
% New rule produced :
% [2131]
% converse(composition(composition(composition(converse(A),B),composition(C,V_3)),V_4))
% <->
% composition(converse(composition(B,composition(C,composition(V_3,V_4)))),A)
% Current number of equations to process: 3442
% Current number of ordered equations: 3
% Current number of rules: 1974
% New rule produced :
% [2132]
% converse(composition(composition(composition(converse(A),composition(B,C)),V_3),V_4))
% <->
% composition(converse(composition(composition(B,composition(C,V_3)),V_4)),A)
% Current number of equations to process: 3442
% Current number of ordered equations: 2
% Current number of rules: 1975
% New rule produced :
% [2133]
% composition(converse(composition(composition(B,composition(C,V_3)),V_4)),A)
% <->
% converse(composition(composition(composition(converse(A),composition(B,C)),V_3),V_4))
% Current number of equations to process: 3442
% Current number of ordered equations: 1
% Current number of rules: 1976
% New rule produced :
% [2134]
% composition(converse(composition(B,composition(C,composition(V_3,V_4)))),A)
% <->
% converse(composition(composition(composition(converse(A),B),composition(C,V_3)),V_4))
% Current number of equations to process: 3442
% Current number of ordered equations: 0
% Current number of rules: 1977
% New rule produced :
% [2135]
% converse(composition(composition(composition(composition(converse(A),B),C),V_3),V_4))
% <->
% composition(converse(composition(composition(B,composition(C,V_3)),V_4)),A)
% Current number of equations to process: 3440
% Current number of ordered equations: 3
% Current number of rules: 1978
% New rule produced :
% [2136]
% converse(composition(composition(composition(composition(converse(A),B),C),V_3),V_4))
% <->
% composition(converse(composition(B,composition(C,composition(V_3,V_4)))),A)
% Current number of equations to process: 3440
% Current number of ordered equations: 2
% Current number of rules: 1979
% New rule produced :
% [2137]
% composition(converse(composition(composition(B,composition(C,V_3)),V_4)),A)
% <->
% converse(composition(composition(composition(composition(converse(A),B),C),V_3),V_4))
% Current number of equations to process: 3440
% Current number of ordered equations: 1
% Current number of rules: 1980
% New rule produced :
% [2138]
% composition(converse(composition(B,composition(C,composition(V_3,V_4)))),A)
% <->
% converse(composition(composition(composition(composition(converse(A),B),C),V_3),V_4))
% Current number of equations to process: 3440
% Current number of ordered equations: 0
% Current number of rules: 1981
% New rule produced :
% [2139]
% composition(A,converse(composition(V_4,composition(composition(converse(V_3),B),C))))
% <->
% composition(composition(A,composition(converse(composition(B,C)),V_3)),
% converse(V_4))
% Current number of equations to process: 3438
% Current number of ordered equations: 3
% Current number of rules: 1982
% New rule produced :
% [2140]
% composition(A,converse(composition(composition(composition(converse(V_4),C),V_3),B)))
% <->
% composition(composition(A,converse(B)),composition(converse(composition(C,V_3)),V_4))
% Current number of equations to process: 3438
% Current number of ordered equations: 2
% Current number of rules: 1983
% New rule produced :
% [2141]
% composition(composition(A,composition(converse(composition(B,C)),V_3)),
% converse(V_4)) <->
% composition(A,converse(composition(V_4,composition(composition(converse(V_3),B),C))))
% Current number of equations to process: 3438
% Current number of ordered equations: 1
% Current number of rules: 1984
% New rule produced :
% [2142]
% composition(composition(A,converse(B)),composition(converse(composition(C,V_3)),V_4))
% <->
% composition(A,converse(composition(composition(composition(converse(V_4),C),V_3),B)))
% Current number of equations to process: 3438
% Current number of ordered equations: 0
% Current number of rules: 1985
% New rule produced :
% [2143]
% composition(converse(A),composition(composition(converse(composition(B,C)),V_3),V_4))
% <->
% composition(converse(composition(composition(composition(converse(V_3),B),C),A)),V_4)
% Current number of equations to process: 3436
% Current number of ordered equations: 3
% Current number of rules: 1986
% New rule produced :
% [2144]
% composition(converse(composition(V_3,composition(composition(converse(C),A),B))),V_4)
% <->
% composition(composition(converse(composition(A,B)),C),composition(converse(V_3),V_4))
% Current number of equations to process: 3436
% Current number of ordered equations: 2
% Current number of rules: 1987
% New rule produced :
% [2145]
% composition(converse(composition(composition(composition(converse(V_3),B),C),A)),V_4)
% <->
% composition(converse(A),composition(composition(converse(composition(B,C)),V_3),V_4))
% Current number of equations to process: 3436
% Current number of ordered equations: 1
% Current number of rules: 1988
% New rule produced :
% [2146]
% composition(composition(converse(composition(A,B)),C),composition(converse(V_3),V_4))
% <->
% composition(converse(composition(V_3,composition(composition(converse(C),A),B))),V_4)
% Current number of equations to process: 3436
% Current number of ordered equations: 0
% Current number of rules: 1989
% New rule produced :
% [2147]
% converse(composition(composition(converse(composition(C,V_3)),A),B)) <->
% composition(composition(converse(composition(A,B)),C),V_3)
% Current number of equations to process: 3481
% Current number of ordered equations: 3
% Current number of rules: 1990
% New rule produced :
% [2148]
% composition(composition(A,converse(composition(C,V_3))),B) <->
% composition(A,converse(composition(composition(converse(B),C),V_3)))
% Current number of equations to process: 3481
% Current number of ordered equations: 2
% Current number of rules: 1991
% New rule produced :
% [2149]
% composition(A,converse(composition(composition(converse(B),C),V_3))) <->
% composition(composition(A,converse(composition(C,V_3))),B)
% Current number of equations to process: 3481
% Current number of ordered equations: 1
% Current number of rules: 1992
% New rule produced :
% [2150]
% composition(composition(converse(composition(A,B)),C),V_3) <->
% converse(composition(composition(converse(composition(C,V_3)),A),B))
% Current number of equations to process: 3481
% Current number of ordered equations: 0
% Current number of rules: 1993
% New rule produced :
% [2151]
% composition(converse(composition(composition(converse(A),B),C)),V_3) <->
% composition(converse(composition(B,C)),composition(A,V_3))
% Current number of equations to process: 3480
% Current number of ordered equations: 1
% Current number of rules: 1994
% New rule produced :
% [2152]
% composition(converse(composition(B,C)),composition(A,V_3)) <->
% composition(converse(composition(composition(converse(A),B),C)),V_3)
% Current number of equations to process: 3480
% Current number of ordered equations: 0
% Current number of rules: 1995
% New rule produced :
% [2153]
% composition(converse(composition(C,composition(V_3,converse(A)))),B) <->
% composition(A,converse(composition(composition(converse(B),C),V_3)))
% Current number of equations to process: 3479
% Current number of ordered equations: 1
% Current number of rules: 1996
% New rule produced :
% [2154]
% composition(A,converse(composition(composition(converse(B),C),V_3))) <->
% composition(converse(composition(C,composition(V_3,converse(A)))),B)
% Current number of equations to process: 3479
% Current number of ordered equations: 0
% Current number of rules: 1997
% New rule produced :
% [2155]
% composition(converse(composition(V_3,converse(composition(A,B)))),C) <->
% composition(A,composition(B,converse(composition(converse(C),V_3))))
% Current number of equations to process: 3478
% Current number of ordered equations: 1
% Current number of rules: 1998
% New rule produced :
% [2156]
% composition(A,composition(B,converse(composition(converse(C),V_3)))) <->
% composition(converse(composition(V_3,converse(composition(A,B)))),C)
% Current number of equations to process: 3478
% Current number of ordered equations: 0
% Current number of rules: 1999
% New rule produced :
% [2157]
% converse(composition(composition(converse(V_3),B),composition(C,converse(A))))
% <-> composition(A,composition(converse(composition(B,C)),V_3))
% Current number of equations to process: 3477
% Current number of ordered equations: 1
% Current number of rules: 2000
% New rule produced :
% [2158]
% composition(A,composition(converse(composition(B,C)),V_3)) <->
% converse(composition(composition(converse(V_3),B),composition(C,converse(A))))
% Current number of equations to process: 3477
% Current number of ordered equations: 0
% Current number of rules: 2001
% New rule produced :
% [2159]
% composition(converse(composition(V_3,composition(B,converse(A)))),C) <->
% composition(composition(A,converse(B)),converse(composition(converse(C),V_3)))
% Current number of equations to process: 3476
% Current number of ordered equations: 1
% Current number of rules: 2002
% New rule produced :
% [2160]
% composition(composition(A,converse(B)),converse(composition(converse(C),V_3)))
% <-> composition(converse(composition(V_3,composition(B,converse(A)))),C)
% Current number of equations to process: 3476
% Current number of ordered equations: 0
% Current number of rules: 2003
% New rule produced :
% [2161]
% converse(composition(converse(composition(composition(A,converse(B)),C)),V_3))
% <-> composition(converse(composition(composition(B,converse(A)),V_3)),C)
% Current number of equations to process: 3475
% Current number of ordered equations: 1
% Current number of rules: 2004
% New rule produced :
% [2162]
% composition(converse(composition(composition(B,converse(A)),V_3)),C) <->
% converse(composition(converse(composition(composition(A,converse(B)),C)),V_3))
% Current number of equations to process: 3475
% Current number of ordered equations: 0
% Current number of rules: 2005
% New rule produced :
% [2163]
% converse(composition(converse(composition(composition(B,A),V_3)),C)) <->
% composition(converse(composition(converse(A),composition(converse(B),C))),V_3)
% Current number of equations to process: 3474
% Current number of ordered equations: 1
% Current number of rules: 2006
% New rule produced :
% [2164]
% composition(converse(composition(converse(A),composition(converse(B),C))),V_3)
% <-> converse(composition(converse(composition(composition(B,A),V_3)),C))
% Current number of equations to process: 3474
% Current number of ordered equations: 0
% Current number of rules: 2007
% New rule produced :
% [2165]
% converse(complement(composition(converse(composition(A,B)),C))) join
% composition(composition(converse(C),A),B) -> top
% Current number of equations to process: 3477
% Current number of ordered equations: 0
% Current number of rules: 2008
% New rule produced :
% [2166]
% converse(composition(composition(composition(A,converse(composition(B,C))),V_3),V_4))
% <->
% composition(converse(composition(V_3,V_4)),composition(B,composition(C,
% converse(A))))
% Current number of equations to process: 3475
% Current number of ordered equations: 3
% Current number of rules: 2009
% New rule produced :
% [2167]
% converse(composition(A,composition(B,composition(converse(composition(C,V_3)),V_4))))
% <->
% composition(composition(composition(converse(V_4),C),V_3),converse(composition(A,B)))
% Current number of equations to process: 3475
% Current number of ordered equations: 2
% Current number of rules: 2010
% New rule produced :
% [2168]
% composition(converse(composition(V_3,V_4)),composition(B,composition(C,
% converse(A)))) <->
% converse(composition(composition(composition(A,converse(composition(B,C))),V_3),V_4))
% Current number of equations to process: 3475
% Current number of ordered equations: 1
% Current number of rules: 2011
% New rule produced :
% [2169]
% composition(composition(composition(converse(V_4),C),V_3),converse(composition(A,B)))
% <->
% converse(composition(A,composition(B,composition(converse(composition(C,V_3)),V_4))))
% Current number of equations to process: 3475
% Current number of ordered equations: 0
% Current number of rules: 2012
% New rule produced :
% [2170]
% converse(composition(composition(composition(converse(composition(A,B)),C),V_3),V_4))
% <->
% composition(converse(composition(V_3,V_4)),composition(composition(converse(C),A),B))
% Current number of equations to process: 3474
% Current number of ordered equations: 1
% Current number of rules: 2013
% New rule produced :
% [2171]
% composition(converse(composition(V_3,V_4)),composition(composition(converse(C),A),B))
% <->
% converse(composition(composition(composition(converse(composition(A,B)),C),V_3),V_4))
% Current number of equations to process: 3474
% Current number of ordered equations: 0
% Current number of rules: 2014
% New rule produced :
% [2172]
% converse(composition(composition(converse(A),B),C)) join composition(
% complement(converse(
% composition(B,C))),A)
% -> composition(top,A)
% Current number of equations to process: 3473
% Current number of ordered equations: 0
% Current number of rules: 2015
% New rule produced :
% [2173]
% converse(composition(composition(composition(composition(A,converse(B)),
% converse(C)),V_3),V_4)) <->
% composition(converse(composition(V_3,V_4)),composition(C,composition(B,
% converse(A))))
% Current number of equations to process: 3469
% Current number of ordered equations: 3
% Current number of rules: 2016
% New rule produced :
% [2174]
% converse(composition(A,composition(B,composition(converse(composition(C,V_3)),V_4))))
% <->
% composition(composition(composition(composition(converse(V_4),C),V_3),
% converse(B)),converse(A))
% Current number of equations to process: 3469
% Current number of ordered equations: 2
% Current number of rules: 2017
% New rule produced :
% [2175]
% composition(converse(composition(V_3,V_4)),composition(C,composition(B,
% converse(A)))) <->
% converse(composition(composition(composition(composition(A,converse(B)),
% converse(C)),V_3),V_4))
% Current number of equations to process: 3469
% Current number of ordered equations: 1
% Current number of rules: 2018
% New rule produced :
% [2176]
% composition(composition(composition(composition(converse(V_4),C),V_3),
% converse(B)),converse(A)) <->
% converse(composition(A,composition(B,composition(converse(composition(C,V_3)),V_4))))
% Current number of equations to process: 3469
% Current number of ordered equations: 0
% Current number of rules: 2019
% New rule produced :
% [2177]
% converse(composition(composition(A,composition(converse(composition(B,C)),V_3)),V_4))
% <->
% composition(converse(V_4),composition(composition(composition(converse(V_3),B),C),
% converse(A)))
% Current number of equations to process: 3467
% Current number of ordered equations: 3
% Current number of rules: 2020
% New rule produced :
% [2178]
% converse(composition(composition(composition(converse(A),composition(B,
% converse(C))),V_3),V_4))
% <->
% composition(converse(composition(V_3,V_4)),composition(composition(C,
% converse(B)),A))
% Current number of equations to process: 3467
% Current number of ordered equations: 2
% Current number of rules: 2021
% New rule produced :
% [2179]
% composition(converse(V_4),composition(composition(composition(converse(V_3),B),C),
% converse(A))) <->
% converse(composition(composition(A,composition(converse(composition(B,C)),V_3)),V_4))
% Current number of equations to process: 3467
% Current number of ordered equations: 1
% Current number of rules: 2022
% New rule produced :
% [2180]
% composition(converse(composition(V_3,V_4)),composition(composition(C,
% converse(B)),A)) <->
% converse(composition(composition(composition(converse(A),composition(B,
% converse(C))),V_3),V_4))
% Current number of equations to process: 3467
% Current number of ordered equations: 0
% Current number of rules: 2023
% New rule produced :
% [2181]
% converse(composition(composition(composition(composition(converse(V_4),C),V_3),
% converse(B)),A)) <->
% composition(converse(A),composition(B,composition(converse(composition(C,V_3)),V_4)))
% Current number of equations to process: 3465
% Current number of ordered equations: 3
% Current number of rules: 2024
% New rule produced :
% [2182]
% converse(composition(composition(V_4,converse(V_3)),composition(composition(
% converse(C),A),B)))
% <->
% composition(composition(converse(composition(A,B)),C),composition(V_3,
% converse(V_4)))
% Current number of equations to process: 3465
% Current number of ordered equations: 2
% Current number of rules: 2025
% New rule produced :
% [2183]
% composition(converse(A),composition(B,composition(converse(composition(C,V_3)),V_4)))
% <->
% converse(composition(composition(composition(composition(converse(V_4),C),V_3),
% converse(B)),A))
% Current number of equations to process: 3465
% Current number of ordered equations: 1
% Current number of rules: 2026
% New rule produced :
% [2184]
% composition(composition(converse(composition(A,B)),C),composition(V_3,
% converse(V_4))) <->
% converse(composition(composition(V_4,converse(V_3)),composition(composition(
% converse(C),A),B)))
% Current number of equations to process: 3465
% Current number of ordered equations: 0
% Current number of rules: 2027
% New rule produced :
% [2185]
% converse(composition(V_4,composition(composition(composition(converse(V_3),B),C),
% converse(A)))) <->
% composition(composition(A,composition(converse(composition(B,C)),V_3)),
% converse(V_4))
% Current number of equations to process: 3463
% Current number of ordered equations: 3
% Current number of rules: 2028
% New rule produced :
% [2186]
% converse(composition(composition(composition(converse(V_4),C),V_3),composition(B,
% converse(A))))
% <->
% composition(composition(A,converse(B)),composition(converse(composition(C,V_3)),V_4))
% Current number of equations to process: 3463
% Current number of ordered equations: 2
% Current number of rules: 2029
% New rule produced :
% [2187]
% composition(composition(A,composition(converse(composition(B,C)),V_3)),
% converse(V_4)) <->
% converse(composition(V_4,composition(composition(composition(converse(V_3),B),C),
% converse(A))))
% Current number of equations to process: 3463
% Current number of ordered equations: 1
% Current number of rules: 2030
% New rule produced :
% [2188]
% composition(composition(A,converse(B)),composition(converse(composition(C,V_3)),V_4))
% <->
% converse(composition(composition(composition(converse(V_4),C),V_3),composition(B,
% converse(A))))
% Current number of equations to process: 3463
% Current number of ordered equations: 0
% Current number of rules: 2031
% New rule produced :
% [2189]
% converse(composition(composition(converse(C),B),converse(A))) <->
% composition(composition(A,converse(B)),C)
% Current number of equations to process: 3501
% Current number of ordered equations: 1
% Current number of rules: 2032
% New rule produced :
% [2190]
% composition(composition(A,converse(B)),C) <->
% converse(composition(composition(converse(C),B),converse(A)))
% Current number of equations to process: 3501
% Current number of ordered equations: 0
% Current number of rules: 2033
% New rule produced :
% [2191]
% converse(composition(composition(converse(composition(converse(A),V_3)),B),C))
% <-> composition(converse(composition(A,composition(B,C))),V_3)
% Current number of equations to process: 3518
% Current number of ordered equations: 1
% Current number of rules: 2034
% New rule produced :
% [2192]
% composition(converse(composition(A,composition(B,C))),V_3) <->
% converse(composition(composition(converse(composition(converse(A),V_3)),B),C))
% Current number of equations to process: 3518
% Current number of ordered equations: 0
% Current number of rules: 2035
% New rule produced :
% [2193]
% converse(composition(converse(composition(B,V_3)),composition(converse(A),C)))
% <-> composition(converse(composition(converse(composition(A,B)),C)),V_3)
% Current number of equations to process: 3517
% Current number of ordered equations: 1
% Current number of rules: 2036
% New rule produced :
% [2194]
% composition(converse(composition(converse(composition(A,B)),C)),V_3) <->
% converse(composition(converse(composition(B,V_3)),composition(converse(A),C)))
% Current number of equations to process: 3517
% Current number of ordered equations: 0
% Current number of rules: 2037
% New rule produced :
% [2195]
% converse(composition(composition(converse(V_3),A),converse(composition(C,B))))
% <->
% composition(converse(composition(composition(A,converse(B)),converse(C))),V_3)
% Current number of equations to process: 3516
% Current number of ordered equations: 1
% Current number of rules: 2038
% New rule produced :
% [2196]
% composition(converse(composition(composition(A,converse(B)),converse(C))),V_3)
% <->
% converse(composition(composition(converse(V_3),A),converse(composition(C,B))))
% Current number of equations to process: 3516
% Current number of ordered equations: 0
% Current number of rules: 2039
% New rule produced :
% [2197]
% converse(composition(composition(converse(V_3),composition(A,converse(C))),
% converse(B))) <->
% composition(converse(composition(A,converse(composition(B,C)))),V_3)
% Current number of equations to process: 3515
% Current number of ordered equations: 1
% Current number of rules: 2040
% New rule produced :
% [2198]
% composition(converse(composition(A,converse(composition(B,C)))),V_3) <->
% converse(composition(composition(converse(V_3),composition(A,converse(C))),
% converse(B)))
% Current number of equations to process: 3515
% Current number of ordered equations: 0
% Current number of rules: 2041
% New rule produced :
% [2199]
% converse(composition(composition(converse(V_4),A),composition(composition(B,C),V_3)))
% <->
% composition(converse(composition(composition(A,B),composition(C,V_3))),V_4)
% Current number of equations to process: 3512
% Current number of ordered equations: 5
% Current number of rules: 2042
% New rule produced :
% [2200]
% converse(composition(composition(converse(composition(composition(C,V_3),V_4)),A),B))
% <->
% composition(composition(converse(composition(A,B)),C),composition(V_3,V_4))
% Current number of equations to process: 3512
% Current number of ordered equations: 4
% Current number of rules: 2043
% New rule produced :
% [2201]
% composition(composition(A,converse(composition(C,V_3))),composition(B,V_4))
% <->
% composition(A,composition(converse(composition(composition(converse(B),C),V_3)),V_4))
% Current number of equations to process: 3512
% Current number of ordered equations: 3
% Current number of rules: 2044
% New rule produced :
% [2202]
% composition(A,composition(converse(composition(composition(converse(B),C),V_3)),V_4))
% <->
% composition(composition(A,converse(composition(C,V_3))),composition(B,V_4))
% Current number of equations to process: 3512
% Current number of ordered equations: 2
% Current number of rules: 2045
% New rule produced :
% [2203]
% composition(composition(converse(composition(A,B)),C),composition(V_3,V_4))
% <->
% converse(composition(composition(converse(composition(composition(C,V_3),V_4)),A),B))
% Current number of equations to process: 3512
% Current number of ordered equations: 1
% Current number of rules: 2046
% New rule produced :
% [2204]
% composition(converse(composition(composition(A,B),composition(C,V_3))),V_4)
% <->
% converse(composition(composition(converse(V_4),A),composition(composition(B,C),V_3)))
% Current number of equations to process: 3512
% Current number of ordered equations: 0
% Current number of rules: 2047
% New rule produced :
% [2205]
% composition(converse(composition(composition(converse(A),B),C)),composition(V_3,V_4))
% <->
% composition(converse(composition(B,C)),composition(composition(A,V_3),V_4))
% Current number of equations to process: 3509
% Current number of ordered equations: 5
% Current number of rules: 2048
% New rule produced :
% [2206]
% converse(composition(composition(converse(V_4),composition(A,B)),composition(C,V_3)))
% <->
% composition(converse(composition(A,composition(composition(B,C),V_3))),V_4)
% Current number of equations to process: 3509
% Current number of ordered equations: 4
% Current number of rules: 2049
% New rule produced :
% [2207]
% composition(composition(A,B),converse(composition(composition(converse(C),V_3),V_4)))
% <->
% composition(A,composition(composition(B,converse(composition(V_3,V_4))),C))
% Current number of equations to process: 3509
% Current number of ordered equations: 3
% Current number of rules: 2050
% New rule produced :
% [2208]
% composition(A,composition(composition(B,converse(composition(V_3,V_4))),C))
% <->
% composition(composition(A,B),converse(composition(composition(converse(C),V_3),V_4)))
% Current number of equations to process: 3509
% Current number of ordered equations: 2
% Current number of rules: 2051
% New rule produced :
% [2209]
% composition(converse(composition(B,C)),composition(composition(A,V_3),V_4))
% <->
% composition(converse(composition(composition(converse(A),B),C)),composition(V_3,V_4))
% Current number of equations to process: 3509
% Current number of ordered equations: 1
% Current number of rules: 2052
% New rule produced :
% [2210]
% composition(converse(composition(A,composition(composition(B,C),V_3))),V_4)
% <->
% converse(composition(composition(converse(V_4),composition(A,B)),composition(C,V_3)))
% Current number of equations to process: 3509
% Current number of ordered equations: 0
% Current number of rules: 2053
% New rule produced :
% [2211]
% converse(composition(composition(converse(V_4),A),composition(composition(B,C),V_3)))
% <->
% composition(converse(composition(composition(composition(A,B),C),V_3)),V_4)
% Current number of equations to process: 3506
% Current number of ordered equations: 5
% Current number of rules: 2054
% New rule produced :
% [2212]
% converse(composition(composition(converse(composition(composition(C,V_3),V_4)),A),B))
% <->
% composition(composition(composition(converse(composition(A,B)),C),V_3),V_4)
% Current number of equations to process: 3506
% Current number of ordered equations: 4
% Current number of rules: 2055
% New rule produced :
% [2213]
% composition(A,composition(converse(composition(composition(converse(B),C),V_3)),V_4))
% <->
% composition(composition(composition(A,converse(composition(C,V_3))),B),V_4)
% Current number of equations to process: 3506
% Current number of ordered equations: 3
% Current number of rules: 2056
% New rule produced :
% [2214]
% composition(composition(composition(converse(composition(A,B)),C),V_3),V_4)
% <->
% converse(composition(composition(converse(composition(composition(C,V_3),V_4)),A),B))
% Current number of equations to process: 3506
% Current number of ordered equations: 2
% Current number of rules: 2057
% New rule produced :
% [2215]
% composition(converse(composition(composition(composition(A,B),C),V_3)),V_4)
% <->
% converse(composition(composition(converse(V_4),A),composition(composition(B,C),V_3)))
% Current number of equations to process: 3506
% Current number of ordered equations: 1
% Current number of rules: 2058
% New rule produced :
% [2216]
% composition(composition(composition(A,converse(composition(C,V_3))),B),V_4)
% <->
% composition(A,composition(converse(composition(composition(converse(B),C),V_3)),V_4))
% Current number of equations to process: 3506
% Current number of ordered equations: 0
% Current number of rules: 2059
% New rule produced :
% [2217]
% converse(composition(composition(converse(V_4),A),composition(B,composition(C,V_3))))
% <->
% composition(converse(composition(composition(A,composition(B,C)),V_3)),V_4)
% Current number of equations to process: 3502
% Current number of ordered equations: 7
% Current number of rules: 2060
% New rule produced :
% [2218]
% converse(composition(composition(converse(composition(C,composition(V_3,V_4))),A),B))
% <->
% composition(composition(converse(composition(A,B)),composition(C,V_3)),V_4)
% Current number of equations to process: 3502
% Current number of ordered equations: 6
% Current number of rules: 2061
% New rule produced :
% [2219]
% composition(A,converse(composition(composition(converse(composition(B,C)),V_3),V_4)))
% <->
% composition(composition(A,composition(converse(composition(V_3,V_4)),B)),C)
% Current number of equations to process: 3502
% Current number of ordered equations: 5
% Current number of rules: 2062
% New rule produced :
% [2220]
% composition(A,composition(B,converse(composition(composition(converse(C),V_3),V_4))))
% <->
% composition(composition(A,composition(B,converse(composition(V_3,V_4)))),C)
% Current number of equations to process: 3502
% Current number of ordered equations: 4
% Current number of rules: 2063
% New rule produced :
% [2221]
% composition(composition(converse(composition(A,B)),composition(C,V_3)),V_4)
% <->
% converse(composition(composition(converse(composition(C,composition(V_3,V_4))),A),B))
% Current number of equations to process: 3502
% Current number of ordered equations: 3
% Current number of rules: 2064
% New rule produced :
% [2222]
% composition(composition(A,composition(converse(composition(V_3,V_4)),B)),C)
% <->
% composition(A,converse(composition(composition(converse(composition(B,C)),V_3),V_4)))
% Current number of equations to process: 3502
% Current number of ordered equations: 2
% Current number of rules: 2065
% New rule produced :
% [2223]
% composition(converse(composition(composition(A,composition(B,C)),V_3)),V_4)
% <->
% converse(composition(composition(converse(V_4),A),composition(B,composition(C,V_3))))
% Current number of equations to process: 3502
% Current number of ordered equations: 1
% Current number of rules: 2066
% New rule produced :
% [2224]
% composition(composition(A,composition(B,converse(composition(V_3,V_4)))),C)
% <->
% composition(A,composition(B,converse(composition(composition(converse(C),V_3),V_4))))
% Current number of equations to process: 3502
% Current number of ordered equations: 0
% Current number of rules: 2067
% New rule produced :
% [2225]
% converse(composition(composition(converse(V_4),A),composition(B,composition(C,V_3))))
% <->
% composition(converse(composition(composition(composition(A,B),C),V_3)),V_4)
% Current number of equations to process: 3498
% Current number of ordered equations: 7
% Current number of rules: 2068
% New rule produced :
% [2226]
% converse(composition(composition(converse(composition(C,composition(V_3,V_4))),A),B))
% <->
% composition(composition(composition(converse(composition(A,B)),C),V_3),V_4)
% Current number of equations to process: 3498
% Current number of ordered equations: 6
% Current number of rules: 2069
% New rule produced :
% [2227]
% composition(A,converse(composition(composition(converse(composition(B,C)),V_3),V_4)))
% <->
% composition(composition(composition(A,converse(composition(V_3,V_4))),B),C)
% Current number of equations to process: 3498
% Current number of ordered equations: 5
% Current number of rules: 2070
% New rule produced :
% [2228]
% composition(A,composition(B,converse(composition(composition(converse(C),V_3),V_4))))
% <->
% composition(composition(composition(A,B),converse(composition(V_3,V_4))),C)
% Current number of equations to process: 3498
% Current number of ordered equations: 4
% Current number of rules: 2071
% New rule produced :
% [2229]
% composition(composition(composition(converse(composition(A,B)),C),V_3),V_4)
% <->
% converse(composition(composition(converse(composition(C,composition(V_3,V_4))),A),B))
% Current number of equations to process: 3498
% Current number of ordered equations: 3
% Current number of rules: 2072
% New rule produced :
% [2230]
% composition(converse(composition(composition(composition(A,B),C),V_3)),V_4)
% <->
% converse(composition(composition(converse(V_4),A),composition(B,composition(C,V_3))))
% Current number of equations to process: 3498
% Current number of ordered equations: 2
% Current number of rules: 2073
% New rule produced :
% [2231]
% composition(composition(composition(A,B),converse(composition(V_3,V_4))),C)
% <->
% composition(A,composition(B,converse(composition(composition(converse(C),V_3),V_4))))
% Current number of equations to process: 3498
% Current number of ordered equations: 1
% Current number of rules: 2074
% New rule produced :
% [2232]
% composition(composition(composition(A,converse(composition(V_3,V_4))),B),C)
% <->
% composition(A,converse(composition(composition(converse(composition(B,C)),V_3),V_4)))
% Current number of equations to process: 3498
% Current number of ordered equations: 0
% Current number of rules: 2075
% New rule produced :
% [2233]
% converse(composition(composition(converse(V_4),composition(A,composition(B,C))),V_3))
% <->
% composition(converse(composition(A,composition(B,composition(C,V_3)))),V_4)
% Current number of equations to process: 3495
% Current number of ordered equations: 5
% Current number of rules: 2076
% New rule produced :
% [2234]
% composition(converse(composition(C,V_3)),composition(A,composition(B,V_4)))
% <->
% composition(converse(composition(composition(converse(composition(A,B)),C),V_3)),V_4)
% Current number of equations to process: 3495
% Current number of ordered equations: 4
% Current number of rules: 2077
% New rule produced :
% [2235]
% composition(A,composition(converse(composition(C,V_3)),composition(B,V_4)))
% <->
% composition(composition(A,converse(composition(composition(converse(B),C),V_3))),V_4)
% Current number of equations to process: 3495
% Current number of ordered equations: 3
% Current number of rules: 2078
% New rule produced :
% [2236]
% composition(converse(composition(composition(converse(composition(A,B)),C),V_3)),V_4)
% <->
% composition(converse(composition(C,V_3)),composition(A,composition(B,V_4)))
% Current number of equations to process: 3495
% Current number of ordered equations: 2
% Current number of rules: 2079
% New rule produced :
% [2237]
% composition(converse(composition(A,composition(B,composition(C,V_3)))),V_4)
% <->
% converse(composition(composition(converse(V_4),composition(A,composition(B,C))),V_3))
% Current number of equations to process: 3495
% Current number of ordered equations: 1
% Current number of rules: 2080
% New rule produced :
% [2238]
% composition(composition(A,converse(composition(composition(converse(B),C),V_3))),V_4)
% <->
% composition(A,composition(converse(composition(C,V_3)),composition(B,V_4)))
% Current number of equations to process: 3495
% Current number of ordered equations: 0
% Current number of rules: 2081
% New rule produced :
% [2239]
% converse(composition(composition(converse(V_4),composition(composition(A,B),C)),V_3))
% <->
% composition(converse(composition(A,composition(composition(B,C),V_3))),V_4)
% Current number of equations to process: 3493
% Current number of ordered equations: 3
% Current number of rules: 2082
% New rule produced :
% [2240]
% composition(converse(composition(B,C)),composition(composition(A,V_3),V_4))
% <->
% composition(composition(converse(composition(composition(converse(A),B),C)),V_3),V_4)
% Current number of equations to process: 3493
% Current number of ordered equations: 2
% Current number of rules: 2083
% New rule produced :
% [2241]
% composition(composition(converse(composition(composition(converse(A),B),C)),V_3),V_4)
% <->
% composition(converse(composition(B,C)),composition(composition(A,V_3),V_4))
% Current number of equations to process: 3493
% Current number of ordered equations: 1
% Current number of rules: 2084
% New rule produced :
% [2242]
% composition(converse(composition(A,composition(composition(B,C),V_3))),V_4)
% <->
% converse(composition(composition(converse(V_4),composition(composition(A,B),C)),V_3))
% Current number of equations to process: 3493
% Current number of ordered equations: 0
% Current number of rules: 2085
% New rule produced :
% [2243]
% converse(composition(composition(converse(V_4),composition(composition(A,B),C)),V_3))
% <->
% composition(converse(composition(A,composition(B,composition(C,V_3)))),V_4)
% Current number of equations to process: 3491
% Current number of ordered equations: 3
% Current number of rules: 2086
% New rule produced :
% [2244]
% composition(converse(composition(B,C)),composition(A,composition(V_3,V_4)))
% <->
% composition(composition(converse(composition(composition(converse(A),B),C)),V_3),V_4)
% Current number of equations to process: 3491
% Current number of ordered equations: 2
% Current number of rules: 2087
% New rule produced :
% [2245]
% composition(composition(converse(composition(composition(converse(A),B),C)),V_3),V_4)
% <->
% composition(converse(composition(B,C)),composition(A,composition(V_3,V_4)))
% Current number of equations to process: 3491
% Current number of ordered equations: 1
% Current number of rules: 2088
% New rule produced :
% [2246]
% composition(converse(composition(A,composition(B,composition(C,V_3)))),V_4)
% <->
% converse(composition(composition(converse(V_4),composition(composition(A,B),C)),V_3))
% Current number of equations to process: 3491
% Current number of ordered equations: 0
% Current number of rules: 2089
% New rule produced :
% [2247]
% converse(composition(composition(converse(V_4),composition(A,composition(B,C))),V_3))
% <->
% composition(converse(composition(composition(A,B),composition(C,V_3))),V_4)
% Current number of equations to process: 3488
% Current number of ordered equations: 5
% Current number of rules: 2090
% New rule produced :
% [2248]
% composition(composition(A,converse(composition(C,V_3))),composition(B,V_4))
% <->
% composition(composition(A,converse(composition(composition(converse(B),C),V_3))),V_4)
% Current number of equations to process: 3488
% Current number of ordered equations: 4
% Current number of rules: 2091
% New rule produced :
% [2249]
% composition(converse(composition(composition(converse(composition(A,B)),C),V_3)),V_4)
% <->
% composition(composition(converse(composition(C,V_3)),A),composition(B,V_4))
% Current number of equations to process: 3488
% Current number of ordered equations: 3
% Current number of rules: 2092
% New rule produced :
% [2250]
% composition(composition(converse(composition(C,V_3)),A),composition(B,V_4))
% <->
% composition(converse(composition(composition(converse(composition(A,B)),C),V_3)),V_4)
% Current number of equations to process: 3488
% Current number of ordered equations: 2
% Current number of rules: 2093
% New rule produced :
% [2251]
% composition(composition(A,converse(composition(composition(converse(B),C),V_3))),V_4)
% <->
% composition(composition(A,converse(composition(C,V_3))),composition(B,V_4))
% Current number of equations to process: 3488
% Current number of ordered equations: 1
% Current number of rules: 2094
% New rule produced :
% [2252]
% composition(converse(composition(composition(A,B),composition(C,V_3))),V_4)
% <->
% converse(composition(composition(converse(V_4),composition(A,composition(B,C))),V_3))
% Current number of equations to process: 3488
% Current number of ordered equations: 0
% Current number of rules: 2095
% New rule produced :
% [2253]
% composition(converse(composition(composition(converse(A),B),C)),composition(V_3,V_4))
% <->
% composition(composition(converse(composition(B,C)),composition(A,V_3)),V_4)
% Current number of equations to process: 3485
% Current number of ordered equations: 5
% Current number of rules: 2096
% New rule produced :
% [2254]
% converse(composition(composition(converse(V_4),composition(A,B)),composition(C,V_3)))
% <->
% composition(converse(composition(composition(A,composition(B,C)),V_3)),V_4)
% Current number of equations to process: 3485
% Current number of ordered equations: 4
% Current number of rules: 2097
% New rule produced :
% [2255]
% composition(composition(A,B),converse(composition(composition(converse(C),V_3),V_4)))
% <->
% composition(composition(A,composition(B,converse(composition(V_3,V_4)))),C)
% Current number of equations to process: 3485
% Current number of ordered equations: 3
% Current number of rules: 2098
% New rule produced :
% [2256]
% composition(composition(converse(composition(B,C)),composition(A,V_3)),V_4)
% <->
% composition(converse(composition(composition(converse(A),B),C)),composition(V_3,V_4))
% Current number of equations to process: 3485
% Current number of ordered equations: 2
% Current number of rules: 2099
% New rule produced :
% [2257]
% composition(converse(composition(composition(A,composition(B,C)),V_3)),V_4)
% <->
% converse(composition(composition(converse(V_4),composition(A,B)),composition(C,V_3)))
% Current number of equations to process: 3485
% Current number of ordered equations: 1
% Current number of rules: 2100
% New rule produced :
% [2258]
% composition(composition(A,composition(B,converse(composition(V_3,V_4)))),C)
% <->
% composition(composition(A,B),converse(composition(composition(converse(C),V_3),V_4)))
% Current number of equations to process: 3485
% Current number of ordered equations: 0
% Current number of rules: 2101
% New rule produced :
% [2259]
% composition(composition(A,B),complement(converse(composition(composition(
% converse(C),A),B)))) join
% complement(C) -> complement(C)
% Current number of equations to process: 3484
% Current number of ordered equations: 0
% Current number of rules: 2102
% New rule produced :
% [2260]
% composition(composition(B,converse(A)),composition(C,V_3)) <->
% composition(composition(converse(composition(A,converse(B))),C),V_3)
% Current number of equations to process: 3508
% Current number of ordered equations: 1
% Current number of rules: 2103
% New rule produced :
% [2261]
% composition(composition(converse(composition(A,converse(B))),C),V_3) <->
% composition(composition(B,converse(A)),composition(C,V_3))
% Current number of equations to process: 3508
% Current number of ordered equations: 0
% Current number of rules: 2104
% New rule produced :
% [2262]
% composition(B,converse(composition(converse(composition(C,V_3)),A))) <->
% composition(composition(converse(composition(A,converse(B))),C),V_3)
% Current number of equations to process: 3507
% Current number of ordered equations: 1
% Current number of rules: 2105
% New rule produced :
% [2263]
% composition(composition(converse(composition(A,converse(B))),C),V_3) <->
% composition(B,converse(composition(converse(composition(C,V_3)),A)))
% Current number of equations to process: 3507
% Current number of ordered equations: 0
% Current number of rules: 2106
% New rule produced :
% [2264]
% converse(composition(composition(converse(V_3),B),composition(C,converse(A))))
% <-> composition(composition(A,converse(composition(B,C))),V_3)
% Current number of equations to process: 3506
% Current number of ordered equations: 1
% Current number of rules: 2107
% New rule produced :
% [2265]
% composition(composition(A,converse(composition(B,C))),V_3) <->
% converse(composition(composition(converse(V_3),B),composition(C,converse(A))))
% Current number of equations to process: 3506
% Current number of ordered equations: 0
% Current number of rules: 2108
% New rule produced :
% [2266]
% converse(composition(composition(converse(V_3),C),converse(composition(A,B))))
% <-> composition(composition(A,composition(B,converse(C))),V_3)
% Current number of equations to process: 3504
% Current number of ordered equations: 3
% Current number of rules: 2109
% New rule produced :
% [2267]
% converse(composition(converse(composition(C,V_3)),composition(B,converse(A))))
% <-> composition(A,composition(composition(converse(B),C),V_3))
% Current number of equations to process: 3504
% Current number of ordered equations: 2
% Current number of rules: 2110
% New rule produced :
% [2268]
% composition(A,composition(composition(converse(B),C),V_3)) <->
% converse(composition(converse(composition(C,V_3)),composition(B,converse(A))))
% Current number of equations to process: 3504
% Current number of ordered equations: 1
% Current number of rules: 2111
% New rule produced :
% [2269]
% composition(composition(A,composition(B,converse(C))),V_3) <->
% converse(composition(composition(converse(V_3),C),converse(composition(A,B))))
% Current number of equations to process: 3504
% Current number of ordered equations: 0
% Current number of rules: 2112
% New rule produced :
% [2270]
% converse(composition(converse(composition(C,V_3)),composition(B,converse(A))))
% <-> composition(composition(composition(A,converse(B)),C),V_3)
% Current number of equations to process: 3503
% Current number of ordered equations: 1
% Current number of rules: 2113
% New rule produced :
% [2271]
% composition(composition(composition(A,converse(B)),C),V_3) <->
% converse(composition(converse(composition(C,V_3)),composition(B,converse(A))))
% Current number of equations to process: 3503
% Current number of ordered equations: 0
% Current number of rules: 2114
% New rule produced :
% [2272]
% converse(composition(composition(converse(V_3),composition(converse(C),A)),B))
% <-> composition(composition(converse(composition(A,B)),C),V_3)
% Current number of equations to process: 3501
% Current number of ordered equations: 3
% Current number of rules: 2115
% New rule produced :
% [2273]
% converse(composition(converse(composition(composition(converse(A),B),C)),V_3))
% <-> composition(converse(composition(A,V_3)),composition(B,C))
% Current number of equations to process: 3501
% Current number of ordered equations: 2
% Current number of rules: 2116
% New rule produced :
% [2274]
% composition(composition(converse(composition(A,B)),C),V_3) <->
% converse(composition(composition(converse(V_3),composition(converse(C),A)),B))
% Current number of equations to process: 3501
% Current number of ordered equations: 1
% Current number of rules: 2117
% New rule produced :
% [2275]
% composition(converse(composition(A,V_3)),composition(B,C)) <->
% converse(composition(converse(composition(composition(converse(A),B),C)),V_3))
% Current number of equations to process: 3501
% Current number of ordered equations: 0
% Current number of rules: 2118
% New rule produced :
% [2276]
% converse(composition(composition(converse(V_3),C),composition(B,converse(A))))
% <-> composition(composition(composition(A,converse(B)),converse(C)),V_3)
% Current number of equations to process: 3500
% Current number of ordered equations: 1
% Current number of rules: 2119
% New rule produced :
% [2277]
% composition(composition(composition(A,converse(B)),converse(C)),V_3) <->
% converse(composition(composition(converse(V_3),C),composition(B,converse(A))))
% Current number of equations to process: 3500
% Current number of ordered equations: 0
% Current number of rules: 2120
% New rule produced :
% [2278]
% converse(composition(composition(converse(V_3),composition(C,converse(B))),A))
% <-> composition(composition(converse(A),composition(B,converse(C))),V_3)
% Current number of equations to process: 3499
% Current number of ordered equations: 1
% Current number of rules: 2121
% New rule produced :
% [2279]
% composition(composition(converse(A),composition(B,converse(C))),V_3) <->
% converse(composition(composition(converse(V_3),composition(C,converse(B))),A))
% Current number of equations to process: 3499
% Current number of ordered equations: 0
% Current number of rules: 2122
% New rule produced :
% [2280]
% converse(composition(A,composition(converse(B),composition(converse(C),V_3))))
% <-> composition(composition(converse(V_3),composition(C,B)),converse(A))
% Current number of equations to process: 3496
% Current number of ordered equations: 3
% Current number of rules: 2123
% New rule produced :
% [2281]
% composition(composition(converse(V_3),composition(C,B)),converse(A)) <->
% converse(composition(A,composition(converse(B),composition(converse(C),V_3))))
% Current number of equations to process: 3496
% Current number of ordered equations: 2
% Current number of rules: 2124
% New rule produced :
% [2282]
% composition(converse(composition(converse(B),A)),composition(converse(C),V_3))
% <-> composition(composition(composition(converse(A),B),converse(C)),V_3)
% Current number of equations to process: 3496
% Current number of ordered equations: 1
% Current number of rules: 2125
% New rule produced :
% [2283]
% composition(composition(composition(converse(A),B),converse(C)),V_3) <->
% composition(converse(composition(converse(B),A)),composition(converse(C),V_3))
% Current number of equations to process: 3496
% Current number of ordered equations: 0
% Current number of rules: 2126
% New rule produced :
% [2284]
% converse(composition(composition(converse(V_3),composition(C,converse(B))),
% converse(A))) <->
% composition(composition(A,composition(B,converse(C))),V_3)
% Current number of equations to process: 3495
% Current number of ordered equations: 1
% Current number of rules: 2127
% New rule produced :
% [2285]
% composition(composition(A,composition(B,converse(C))),V_3) <->
% converse(composition(composition(converse(V_3),composition(C,converse(B))),
% converse(A)))
% Current number of equations to process: 3495
% Current number of ordered equations: 0
% Current number of rules: 2128
% New rule produced :
% [2286]
% converse(composition(converse(A),composition(converse(B),composition(
% converse(C),V_3))))
% <-> composition(composition(converse(V_3),C),composition(B,A))
% Current number of equations to process: 3494
% Current number of ordered equations: 1
% Current number of rules: 2129
% New rule produced :
% [2287]
% composition(composition(converse(V_3),C),composition(B,A)) <->
% converse(composition(converse(A),composition(converse(B),composition(
% converse(C),V_3))))
% Current number of equations to process: 3494
% Current number of ordered equations: 0
% Current number of rules: 2130
% New rule produced :
% [2288]
% converse(composition(composition(converse(A),B),C)) join composition(
% converse(complement(
% composition(B,C))),A)
% -> composition(top,A)
% Current number of equations to process: 3497
% Current number of ordered equations: 0
% Current number of rules: 2131
% New rule produced :
% [2289]
% converse(composition(A,composition(composition(B,converse(C)),V_3))) <->
% composition(composition(converse(V_3),C),converse(composition(A,B)))
% Current number of equations to process: 3537
% Current number of ordered equations: 1
% Current number of rules: 2132
% New rule produced :
% [2290]
% composition(composition(converse(V_3),C),converse(composition(A,B))) <->
% converse(composition(A,composition(composition(B,converse(C)),V_3)))
% Current number of equations to process: 3537
% Current number of ordered equations: 0
% Current number of rules: 2133
% New rule produced :
% [2291]
% converse(composition(composition(A,composition(converse(B),C)),V_3)) <->
% composition(composition(converse(composition(C,V_3)),B),converse(A))
% Current number of equations to process: 3536
% Current number of ordered equations: 1
% Current number of rules: 2134
% New rule produced :
% [2292]
% composition(composition(converse(composition(C,V_3)),B),converse(A)) <->
% converse(composition(composition(A,composition(converse(B),C)),V_3))
% Current number of equations to process: 3536
% Current number of ordered equations: 0
% Current number of rules: 2135
% New rule produced :
% [2293]
% converse(composition(composition(composition(A,converse(B)),C),V_3)) <->
% composition(composition(converse(composition(C,V_3)),B),converse(A))
% Current number of equations to process: 3535
% Current number of ordered equations: 1
% Current number of rules: 2136
% New rule produced :
% [2294]
% composition(composition(converse(composition(C,V_3)),B),converse(A)) <->
% converse(composition(composition(composition(A,converse(B)),C),V_3))
% Current number of equations to process: 3535
% Current number of ordered equations: 0
% Current number of rules: 2137
% New rule produced :
% [2295]
% converse(composition(composition(A,composition(B,converse(C))),V_3)) <->
% composition(composition(converse(V_3),C),converse(composition(A,B)))
% Current number of equations to process: 3534
% Current number of ordered equations: 1
% Current number of rules: 2138
% New rule produced :
% [2296]
% composition(composition(converse(V_3),C),converse(composition(A,B))) <->
% converse(composition(composition(A,composition(B,converse(C))),V_3))
% Current number of equations to process: 3534
% Current number of ordered equations: 0
% Current number of rules: 2139
% New rule produced :
% [2297]
% converse(composition(A,composition(composition(converse(B),C),V_3))) <->
% composition(composition(converse(V_3),composition(converse(C),B)),converse(A))
% Current number of equations to process: 3533
% Current number of ordered equations: 1
% Current number of rules: 2140
% New rule produced :
% [2298]
% composition(composition(converse(V_3),composition(converse(C),B)),converse(A))
% <-> converse(composition(A,composition(composition(converse(B),C),V_3)))
% Current number of equations to process: 3533
% Current number of ordered equations: 0
% Current number of rules: 2141
% New rule produced :
% [2299]
% converse(composition(composition(V_3,composition(converse(C),B)),converse(A)))
% <-> composition(A,composition(composition(converse(B),C),converse(V_3)))
% Current number of equations to process: 3532
% Current number of ordered equations: 1
% Current number of rules: 2142
% New rule produced :
% [2300]
% composition(A,composition(composition(converse(B),C),converse(V_3))) <->
% converse(composition(composition(V_3,composition(converse(C),B)),converse(A)))
% Current number of equations to process: 3532
% Current number of ordered equations: 0
% Current number of rules: 2143
% New rule produced :
% [2301]
% converse(composition(converse(V_3),composition(C,composition(converse(B),A))))
% <-> composition(composition(composition(converse(A),B),converse(C)),V_3)
% Current number of equations to process: 3531
% Current number of ordered equations: 1
% Current number of rules: 2144
% New rule produced :
% [2302]
% composition(composition(composition(converse(A),B),converse(C)),V_3) <->
% converse(composition(converse(V_3),composition(C,composition(converse(B),A))))
% Current number of equations to process: 3531
% Current number of ordered equations: 0
% Current number of rules: 2145
% New rule produced :
% [2303]
% composition(composition(A,converse(composition(converse(C),B))),converse(V_3))
% <-> composition(A,composition(composition(converse(B),C),converse(V_3)))
% Current number of equations to process: 3530
% Current number of ordered equations: 1
% Current number of rules: 2146
% New rule produced :
% [2304]
% composition(A,composition(composition(converse(B),C),converse(V_3))) <->
% composition(composition(A,converse(composition(converse(C),B))),converse(V_3))
% Current number of equations to process: 3530
% Current number of ordered equations: 0
% Current number of rules: 2147
% New rule produced :
% [2305]
% converse(composition(A,composition(converse(composition(B,C)),V_3))) <->
% composition(composition(converse(composition(converse(B),V_3)),C),converse(A))
% Current number of equations to process: 3529
% Current number of ordered equations: 1
% Current number of rules: 2148
% New rule produced :
% [2306]
% composition(composition(converse(composition(converse(B),V_3)),C),converse(A))
% <-> converse(composition(A,composition(converse(composition(B,C)),V_3)))
% Current number of equations to process: 3529
% Current number of ordered equations: 0
% Current number of rules: 2149
% New rule produced :
% [2307]
% converse(complement(composition(A,composition(converse(B),C)))) join
% composition(composition(converse(C),B),converse(A)) -> top
% Current number of equations to process: 3530
% Current number of ordered equations: 0
% Current number of rules: 2150
% New rule produced :
% [2308]
% converse(composition(A,composition(composition(converse(B),C),composition(V_3,V_4))))
% <->
% composition(composition(converse(composition(composition(C,V_3),V_4)),B),
% converse(A))
% Current number of equations to process: 3529
% Current number of ordered equations: 1
% Current number of rules: 2151
% New rule produced :
% [2309]
% composition(composition(converse(composition(composition(C,V_3),V_4)),B),
% converse(A)) <->
% converse(composition(A,composition(composition(converse(B),C),composition(V_3,V_4))))
% Current number of equations to process: 3529
% Current number of ordered equations: 0
% Current number of rules: 2152
% New rule produced :
% [2310]
% converse(composition(A,composition(composition(composition(converse(B),C),V_3),V_4)))
% <->
% composition(composition(converse(composition(composition(C,V_3),V_4)),B),
% converse(A))
% Current number of equations to process: 3528
% Current number of ordered equations: 1
% Current number of rules: 2153
% New rule produced :
% [2311]
% composition(composition(converse(composition(composition(C,V_3),V_4)),B),
% converse(A)) <->
% converse(composition(A,composition(composition(composition(converse(B),C),V_3),V_4)))
% Current number of equations to process: 3528
% Current number of ordered equations: 0
% Current number of rules: 2154
% New rule produced :
% [2312]
% converse(composition(A,composition(composition(converse(B),composition(C,V_3)),V_4)))
% <->
% composition(composition(converse(composition(C,composition(V_3,V_4))),B),
% converse(A))
% Current number of equations to process: 3527
% Current number of ordered equations: 1
% Current number of rules: 2155
% New rule produced :
% [2313]
% composition(composition(converse(composition(C,composition(V_3,V_4))),B),
% converse(A)) <->
% converse(composition(A,composition(composition(converse(B),composition(C,V_3)),V_4)))
% Current number of equations to process: 3527
% Current number of ordered equations: 0
% Current number of rules: 2156
% New rule produced :
% [2314]
% converse(composition(A,composition(composition(composition(converse(B),C),V_3),V_4)))
% <->
% composition(composition(converse(composition(C,composition(V_3,V_4))),B),
% converse(A))
% Current number of equations to process: 3526
% Current number of ordered equations: 1
% Current number of rules: 2157
% New rule produced :
% [2315]
% composition(composition(converse(composition(C,composition(V_3,V_4))),B),
% converse(A)) <->
% converse(composition(A,composition(composition(composition(converse(B),C),V_3),V_4)))
% Current number of equations to process: 3526
% Current number of ordered equations: 0
% Current number of rules: 2158
% New rule produced :
% [2316]
% converse(composition(A,composition(B,composition(C,composition(converse(V_3),V_4)))))
% <->
% composition(composition(converse(V_4),V_3),converse(composition(A,composition(B,C))))
% Current number of equations to process: 3525
% Current number of ordered equations: 1
% Current number of rules: 2159
% New rule produced :
% [2317]
% composition(composition(converse(V_4),V_3),converse(composition(A,composition(B,C))))
% <->
% converse(composition(A,composition(B,composition(C,composition(converse(V_3),V_4)))))
% Current number of equations to process: 3525
% Current number of ordered equations: 0
% Current number of rules: 2160
% New rule produced :
% [2318]
% converse(composition(A,composition(composition(B,C),composition(converse(V_3),V_4))))
% <->
% composition(composition(converse(V_4),V_3),converse(composition(composition(A,B),C)))
% Current number of equations to process: 3524
% Current number of ordered equations: 1
% Current number of rules: 2161
% New rule produced :
% [2319]
% composition(composition(converse(V_4),V_3),converse(composition(composition(A,B),C)))
% <->
% converse(composition(A,composition(composition(B,C),composition(converse(V_3),V_4))))
% Current number of equations to process: 3524
% Current number of ordered equations: 0
% Current number of rules: 2162
% New rule produced :
% [2320]
% converse(composition(A,composition(B,composition(C,composition(converse(V_3),V_4)))))
% <->
% composition(composition(converse(V_4),V_3),converse(composition(composition(A,B),C)))
% Current number of equations to process: 3523
% Current number of ordered equations: 1
% Current number of rules: 2163
% New rule produced :
% [2321]
% composition(composition(converse(V_4),V_3),converse(composition(composition(A,B),C)))
% <->
% converse(composition(A,composition(B,composition(C,composition(converse(V_3),V_4)))))
% Current number of equations to process: 3523
% Current number of ordered equations: 0
% Current number of rules: 2164
% New rule produced :
% [2322]
% converse(composition(composition(A,B),composition(C,composition(converse(V_3),V_4))))
% <->
% composition(composition(converse(V_4),V_3),converse(composition(A,composition(B,C))))
% Current number of equations to process: 3522
% Current number of ordered equations: 1
% Current number of rules: 2165
% New rule produced :
% [2323]
% composition(composition(converse(V_4),V_3),converse(composition(A,composition(B,C))))
% <->
% converse(composition(composition(A,B),composition(C,composition(converse(V_3),V_4))))
% Current number of equations to process: 3522
% Current number of ordered equations: 0
% Current number of rules: 2166
% New rule produced :
% [2324]
% composition(composition(converse(composition(converse(A),B)),C),V_3) <->
% composition(composition(converse(B),A),composition(C,V_3))
% Current number of equations to process: 3568
% Current number of ordered equations: 1
% Current number of rules: 2167
% New rule produced :
% [2325]
% composition(composition(converse(B),A),composition(C,V_3)) <->
% composition(composition(converse(composition(converse(A),B)),C),V_3)
% Current number of equations to process: 3568
% Current number of ordered equations: 0
% Current number of rules: 2168
% New rule produced :
% [2326]
% converse(composition(V_3,composition(composition(converse(C),B),converse(A))))
% <-> composition(A,composition(composition(converse(B),C),converse(V_3)))
% Current number of equations to process: 3567
% Current number of ordered equations: 1
% Current number of rules: 2169
% New rule produced :
% [2327]
% composition(A,composition(composition(converse(B),C),converse(V_3))) <->
% converse(composition(V_3,composition(composition(converse(C),B),converse(A))))
% Current number of equations to process: 3567
% Current number of ordered equations: 0
% Current number of rules: 2170
% New rule produced :
% [2328]
% composition(converse(composition(A,composition(converse(B),C))),V_3) <->
% composition(composition(converse(C),B),converse(composition(converse(V_3),A)))
% Current number of equations to process: 3566
% Current number of ordered equations: 1
% Current number of rules: 2171
% New rule produced :
% [2329]
% composition(composition(converse(C),B),converse(composition(converse(V_3),A)))
% <-> composition(converse(composition(A,composition(converse(B),C))),V_3)
% Current number of equations to process: 3566
% Current number of ordered equations: 0
% Current number of rules: 2172
% New rule produced :
% [2330]
% converse(composition(composition(converse(V_3),C),composition(converse(B),A)))
% <-> composition(composition(composition(converse(A),B),converse(C)),V_3)
% Current number of equations to process: 3565
% Current number of ordered equations: 1
% Current number of rules: 2173
% New rule produced :
% [2331]
% composition(composition(composition(converse(A),B),converse(C)),V_3) <->
% converse(composition(composition(converse(V_3),C),composition(converse(B),A)))
% Current number of equations to process: 3565
% Current number of ordered equations: 0
% Current number of rules: 2174
% New rule produced :
% [2332]
% composition(composition(converse(A),composition(converse(B),C)),V_3) <->
% composition(converse(A),composition(converse(composition(converse(C),B)),V_3))
% Current number of equations to process: 3563
% Current number of ordered equations: 3
% Current number of rules: 2175
% New rule produced :
% [2333]
% converse(composition(composition(converse(A),composition(converse(B),C)),V_3))
% <-> composition(converse(V_3),composition(converse(C),composition(B,A)))
% Current number of equations to process: 3563
% Current number of ordered equations: 2
% Current number of rules: 2176
% New rule produced :
% [2334]
% composition(converse(A),composition(converse(composition(converse(C),B)),V_3))
% <-> composition(composition(converse(A),composition(converse(B),C)),V_3)
% Current number of equations to process: 3563
% Current number of ordered equations: 1
% Current number of rules: 2177
% New rule produced :
% [2335]
% composition(converse(V_3),composition(converse(C),composition(B,A))) <->
% converse(composition(composition(converse(A),composition(converse(B),C)),V_3))
% Current number of equations to process: 3563
% Current number of ordered equations: 0
% Current number of rules: 2178
% New rule produced :
% [2336]
% converse(composition(composition(composition(converse(V_3),C),B),A)) <->
% composition(converse(A),composition(converse(B),composition(converse(C),V_3)))
% Current number of equations to process: 3562
% Current number of ordered equations: 1
% Current number of rules: 2179
% New rule produced :
% [2337]
% composition(converse(A),composition(converse(B),composition(converse(C),V_3)))
% <-> converse(composition(composition(composition(converse(V_3),C),B),A))
% Current number of equations to process: 3562
% Current number of ordered equations: 0
% Current number of rules: 2180
% New rule produced :
% [2338]
% composition(composition(converse(B),A),converse(composition(V_3,converse(C))))
% <->
% composition(converse(composition(converse(A),B)),composition(C,converse(V_3)))
% Current number of equations to process: 3561
% Current number of ordered equations: 1
% Current number of rules: 2181
% New rule produced :
% [2339]
% composition(converse(composition(converse(A),B)),composition(C,converse(V_3)))
% <->
% composition(composition(converse(B),A),converse(composition(V_3,converse(C))))
% Current number of equations to process: 3561
% Current number of ordered equations: 0
% Current number of rules: 2182
% New rule produced :
% [2340]
% converse(composition(A,converse(composition(composition(B,converse(C)),V_3))))
% <->
% composition(composition(converse(composition(C,converse(B))),V_3),converse(A))
% Current number of equations to process: 3560
% Current number of ordered equations: 1
% Current number of rules: 2183
% New rule produced :
% [2341]
% composition(composition(converse(composition(C,converse(B))),V_3),converse(A))
% <->
% converse(composition(A,converse(composition(composition(B,converse(C)),V_3))))
% Current number of equations to process: 3560
% Current number of ordered equations: 0
% Current number of rules: 2184
% New rule produced :
% [2342]
% converse(complement(composition(composition(converse(A),B),converse(C)))) join
% composition(C,composition(converse(B),A)) -> top
% Current number of equations to process: 3563
% Current number of ordered equations: 0
% Current number of rules: 2185
% New rule produced :
% [2343]
% composition(A,converse(composition(composition(V_4,composition(converse(V_3),C)),B)))
% <->
% composition(composition(A,converse(B)),composition(composition(converse(C),V_3),
% converse(V_4)))
% Current number of equations to process: 3561
% Current number of ordered equations: 3
% Current number of rules: 2186
% New rule produced :
% [2344]
% composition(A,converse(composition(V_4,composition(V_3,composition(converse(C),B)))))
% <->
% composition(composition(A,composition(composition(converse(B),C),converse(V_3))),
% converse(V_4))
% Current number of equations to process: 3561
% Current number of ordered equations: 2
% Current number of rules: 2187
% New rule produced :
% [2345]
% composition(composition(A,converse(B)),composition(composition(converse(C),V_3),
% converse(V_4))) <->
% composition(A,converse(composition(composition(V_4,composition(converse(V_3),C)),B)))
% Current number of equations to process: 3561
% Current number of ordered equations: 1
% Current number of rules: 2188
% New rule produced :
% [2346]
% composition(composition(A,composition(composition(converse(B),C),converse(V_3))),
% converse(V_4)) <->
% composition(A,converse(composition(V_4,composition(V_3,composition(converse(C),B)))))
% Current number of equations to process: 3561
% Current number of ordered equations: 0
% Current number of rules: 2189
% New rule produced :
% [2347]
% composition(converse(A),composition(composition(composition(converse(B),C),
% converse(V_3)),V_4)) <->
% composition(converse(composition(composition(V_3,composition(converse(C),B)),A)),V_4)
% Current number of equations to process: 3559
% Current number of ordered equations: 3
% Current number of rules: 2190
% New rule produced :
% [2348]
% composition(converse(composition(V_3,composition(C,composition(converse(B),A)))),V_4)
% <->
% composition(composition(composition(converse(A),B),converse(C)),composition(
% converse(V_3),V_4))
% Current number of equations to process: 3559
% Current number of ordered equations: 2
% Current number of rules: 2191
% New rule produced :
% [2349]
% composition(converse(composition(composition(V_3,composition(converse(C),B)),A)),V_4)
% <->
% composition(converse(A),composition(composition(composition(converse(B),C),
% converse(V_3)),V_4))
% Current number of equations to process: 3559
% Current number of ordered equations: 1
% Current number of rules: 2192
% New rule produced :
% [2350]
% composition(composition(composition(converse(A),B),converse(C)),composition(
% converse(V_3),V_4))
% <->
% composition(converse(composition(V_3,composition(C,composition(converse(B),A)))),V_4)
% Current number of equations to process: 3559
% Current number of ordered equations: 0
% Current number of rules: 2193
% New rule produced :
% [2351]
% converse(composition(A,composition(composition(B,converse(composition(C,V_3))),V_4)))
% <->
% composition(composition(converse(V_4),composition(C,composition(V_3,converse(B)))),
% converse(A))
% Current number of equations to process: 3557
% Current number of ordered equations: 3
% Current number of rules: 2194
% New rule produced :
% [2352]
% converse(composition(A,composition(B,composition(composition(converse(C),V_3),
% converse(V_4))))) <->
% composition(composition(V_4,composition(converse(V_3),C)),converse(composition(A,B)))
% Current number of equations to process: 3557
% Current number of ordered equations: 2
% Current number of rules: 2195
% New rule produced :
% [2353]
% composition(composition(converse(V_4),composition(C,composition(V_3,converse(B)))),
% converse(A)) <->
% converse(composition(A,composition(composition(B,converse(composition(C,V_3))),V_4)))
% Current number of equations to process: 3557
% Current number of ordered equations: 1
% Current number of rules: 2196
% New rule produced :
% [2354]
% composition(composition(V_4,composition(converse(V_3),C)),converse(composition(A,B)))
% <->
% converse(composition(A,composition(B,composition(composition(converse(C),V_3),
% converse(V_4)))))
% Current number of equations to process: 3557
% Current number of ordered equations: 0
% Current number of rules: 2197
% New rule produced :
% [2355]
% converse(composition(A,composition(composition(converse(composition(B,C)),V_3),V_4)))
% <->
% composition(composition(converse(V_4),composition(composition(converse(V_3),B),C)),
% converse(A))
% Current number of equations to process: 3555
% Current number of ordered equations: 3
% Current number of rules: 2198
% New rule produced :
% [2356]
% converse(composition(composition(composition(composition(converse(A),B),
% converse(C)),V_3),V_4)) <->
% composition(converse(composition(V_3,V_4)),composition(C,composition(
% converse(B),A)))
% Current number of equations to process: 3555
% Current number of ordered equations: 2
% Current number of rules: 2199
% New rule produced :
% [2357]
% composition(composition(converse(V_4),composition(composition(converse(V_3),B),C)),
% converse(A)) <->
% converse(composition(A,composition(composition(converse(composition(B,C)),V_3),V_4)))
% Current number of equations to process: 3555
% Current number of ordered equations: 1
% Current number of rules: 2200
% New rule produced :
% [2358]
% composition(converse(composition(V_3,V_4)),composition(C,composition(
% converse(B),A))) <->
% converse(composition(composition(composition(composition(converse(A),B),
% converse(C)),V_3),V_4))
% Current number of equations to process: 3555
% Current number of ordered equations: 0
% Current number of rules: 2201
% New rule produced :
% [2359]
% converse(composition(converse(A),composition(composition(B,C),V_3))) <->
% composition(converse(composition(C,V_3)),composition(converse(B),A))
% Current number of equations to process: 3597
% Current number of ordered equations: 1
% Current number of rules: 2202
% New rule produced :
% [2360]
% composition(converse(composition(C,V_3)),composition(converse(B),A)) <->
% converse(composition(converse(A),composition(composition(B,C),V_3)))
% Current number of equations to process: 3597
% Current number of ordered equations: 0
% Current number of rules: 2203
% New rule produced :
% [2361]
% converse(composition(converse(A),composition(B,composition(C,V_3)))) <->
% composition(converse(V_3),composition(converse(composition(B,C)),A))
% Current number of equations to process: 3596
% Current number of ordered equations: 1
% Current number of rules: 2204
% New rule produced :
% [2362]
% composition(converse(V_3),composition(converse(composition(B,C)),A)) <->
% converse(composition(converse(A),composition(B,composition(C,V_3))))
% Current number of equations to process: 3596
% Current number of ordered equations: 0
% Current number of rules: 2205
% New rule produced :
% [2363]
% converse(composition(composition(converse(A),B),composition(C,V_3))) <->
% composition(converse(V_3),composition(converse(composition(B,C)),A))
% Current number of equations to process: 3595
% Current number of ordered equations: 1
% Current number of rules: 2206
% New rule produced :
% [2364]
% composition(converse(V_3),composition(converse(composition(B,C)),A)) <->
% converse(composition(composition(converse(A),B),composition(C,V_3)))
% Current number of equations to process: 3595
% Current number of ordered equations: 0
% Current number of rules: 2207
% New rule produced :
% [2365]
% converse(composition(composition(converse(A),composition(B,C)),V_3)) <->
% composition(converse(composition(C,V_3)),composition(converse(B),A))
% Current number of equations to process: 3594
% Current number of ordered equations: 1
% Current number of rules: 2208
% New rule produced :
% [2366]
% composition(converse(composition(C,V_3)),composition(converse(B),A)) <->
% converse(composition(composition(converse(A),composition(B,C)),V_3))
% Current number of equations to process: 3594
% Current number of ordered equations: 0
% Current number of rules: 2209
% New rule produced :
% [2367]
% converse(composition(A,composition(converse(B),composition(converse(C),V_3))))
% <-> composition(composition(composition(converse(V_3),C),B),converse(A))
% Current number of equations to process: 3593
% Current number of ordered equations: 1
% Current number of rules: 2210
% New rule produced :
% [2368]
% composition(composition(composition(converse(V_3),C),B),converse(A)) <->
% converse(composition(A,composition(converse(B),composition(converse(C),V_3))))
% Current number of equations to process: 3593
% Current number of ordered equations: 0
% Current number of rules: 2211
% New rule produced :
% [2369]
% converse(composition(composition(converse(A),composition(converse(B),C)),V_3))
% <-> composition(converse(V_3),composition(composition(converse(C),B),A))
% Current number of equations to process: 3592
% Current number of ordered equations: 1
% Current number of rules: 2212
% New rule produced :
% [2370]
% composition(converse(V_3),composition(composition(converse(C),B),A)) <->
% converse(composition(composition(converse(A),composition(converse(B),C)),V_3))
% Current number of equations to process: 3592
% Current number of ordered equations: 0
% Current number of rules: 2213
% New rule produced :
% [2371]
% converse(composition(composition(composition(converse(V_3),C),B),converse(A)))
% <-> composition(A,composition(converse(B),composition(converse(C),V_3)))
% Current number of equations to process: 3591
% Current number of ordered equations: 1
% Current number of rules: 2214
% New rule produced :
% [2372]
% composition(A,composition(converse(B),composition(converse(C),V_3))) <->
% converse(composition(composition(composition(converse(V_3),C),B),converse(A)))
% Current number of equations to process: 3591
% Current number of ordered equations: 0
% Current number of rules: 2215
% New rule produced :
% [2373]
% composition(composition(converse(A),composition(converse(B),C)),V_3) <->
% converse(composition(converse(V_3),composition(composition(converse(C),B),A)))
% Current number of equations to process: 3590
% Current number of ordered equations: 1
% Current number of rules: 2216
% New rule produced :
% [2374]
% converse(composition(converse(V_3),composition(composition(converse(C),B),A)))
% <-> composition(composition(converse(A),composition(converse(B),C)),V_3)
% Current number of equations to process: 3590
% Current number of ordered equations: 0
% Current number of rules: 2217
% New rule produced :
% [2375]
% composition(A,composition(converse(B),composition(converse(C),V_3))) <->
% composition(composition(A,converse(B)),converse(composition(converse(V_3),C)))
% Current number of equations to process: 3589
% Current number of ordered equations: 1
% Current number of rules: 2218
% New rule produced :
% [2376]
% composition(composition(A,converse(B)),converse(composition(converse(V_3),C)))
% <-> composition(A,composition(converse(B),composition(converse(C),V_3)))
% Current number of equations to process: 3589
% Current number of ordered equations: 0
% Current number of rules: 2219
% New rule produced :
% [2377]
% converse(composition(composition(converse(composition(A,B)),C),V_3)) <->
% composition(converse(V_3),composition(converse(composition(converse(A),C)),B))
% Current number of equations to process: 3588
% Current number of ordered equations: 1
% Current number of rules: 2220
% New rule produced :
% [2378]
% composition(converse(V_3),composition(converse(composition(converse(A),C)),B))
% <-> converse(composition(composition(converse(composition(A,B)),C),V_3))
% Current number of equations to process: 3588
% Current number of ordered equations: 0
% Current number of rules: 2221
% New rule produced :
% [2379]
% converse(composition(composition(composition(converse(A),B),converse(C)),
% converse(V_3))) <->
% composition(composition(V_3,C),composition(converse(B),A))
% Current number of equations to process: 3587
% Current number of ordered equations: 1
% Current number of rules: 2222
% New rule produced :
% [2380]
% composition(composition(V_3,C),composition(converse(B),A)) <->
% converse(composition(composition(composition(converse(A),B),converse(C)),
% converse(V_3)))
% Current number of equations to process: 3587
% Current number of ordered equations: 0
% Current number of rules: 2223
% New rule produced :
% [2381]
% converse(complement(composition(composition(converse(A),B),C))) join
% composition(converse(C),composition(converse(B),A)) -> top
% Current number of equations to process: 3588
% Current number of ordered equations: 0
% Current number of rules: 2224
% New rule produced :
% [2382]
% converse(composition(composition(composition(converse(A),B),composition(C,V_3)),V_4))
% <->
% composition(converse(V_4),composition(converse(composition(composition(B,C),V_3)),A))
% Current number of equations to process: 3586
% Current number of ordered equations: 3
% Current number of rules: 2225
% New rule produced :
% [2383]
% converse(composition(composition(composition(converse(A),B),C),composition(V_3,V_4)))
% <->
% composition(converse(composition(composition(C,V_3),V_4)),composition(
% converse(B),A))
% Current number of equations to process: 3586
% Current number of ordered equations: 2
% Current number of rules: 2226
% New rule produced :
% [2384]
% composition(converse(V_4),composition(converse(composition(composition(B,C),V_3)),A))
% <->
% converse(composition(composition(composition(converse(A),B),composition(C,V_3)),V_4))
% Current number of equations to process: 3586
% Current number of ordered equations: 1
% Current number of rules: 2227
% New rule produced :
% [2385]
% composition(converse(composition(composition(C,V_3),V_4)),composition(
% converse(B),A)) <->
% converse(composition(composition(composition(converse(A),B),C),composition(V_3,V_4)))
% Current number of equations to process: 3586
% Current number of ordered equations: 0
% Current number of rules: 2228
% New rule produced :
% [2386]
% converse(composition(composition(composition(composition(converse(A),B),C),V_3),V_4))
% <->
% composition(converse(V_4),composition(converse(composition(composition(B,C),V_3)),A))
% Current number of equations to process: 3584
% Current number of ordered equations: 3
% Current number of rules: 2229
% New rule produced :
% [2387]
% converse(composition(composition(composition(composition(converse(A),B),C),V_3),V_4))
% <->
% composition(converse(composition(composition(C,V_3),V_4)),composition(
% converse(B),A))
% Current number of equations to process: 3584
% Current number of ordered equations: 2
% Current number of rules: 2230
% New rule produced :
% [2388]
% composition(converse(V_4),composition(converse(composition(composition(B,C),V_3)),A))
% <->
% converse(composition(composition(composition(composition(converse(A),B),C),V_3),V_4))
% Current number of equations to process: 3584
% Current number of ordered equations: 1
% Current number of rules: 2231
% New rule produced :
% [2389]
% composition(converse(composition(composition(C,V_3),V_4)),composition(
% converse(B),A)) <->
% converse(composition(composition(composition(composition(converse(A),B),C),V_3),V_4))
% Current number of equations to process: 3584
% Current number of ordered equations: 0
% Current number of rules: 2232
% New rule produced :
% [2390]
% converse(composition(composition(composition(converse(A),B),composition(C,V_3)),V_4))
% <->
% composition(converse(composition(C,composition(V_3,V_4))),composition(
% converse(B),A))
% Current number of equations to process: 3582
% Current number of ordered equations: 3
% Current number of rules: 2233
% New rule produced :
% [2391]
% converse(composition(composition(composition(converse(A),composition(B,C)),V_3),V_4))
% <->
% composition(converse(V_4),composition(converse(composition(B,composition(C,V_3))),A))
% Current number of equations to process: 3582
% Current number of ordered equations: 2
% Current number of rules: 2234
% New rule produced :
% [2392]
% composition(converse(V_4),composition(converse(composition(B,composition(C,V_3))),A))
% <->
% converse(composition(composition(composition(converse(A),composition(B,C)),V_3),V_4))
% Current number of equations to process: 3582
% Current number of ordered equations: 1
% Current number of rules: 2235
% New rule produced :
% [2393]
% composition(converse(composition(C,composition(V_3,V_4))),composition(
% converse(B),A)) <->
% converse(composition(composition(composition(converse(A),B),composition(C,V_3)),V_4))
% Current number of equations to process: 3582
% Current number of ordered equations: 0
% Current number of rules: 2236
% New rule produced :
% [2394]
% converse(composition(composition(composition(composition(converse(A),B),C),V_3),V_4))
% <->
% composition(converse(V_4),composition(converse(composition(B,composition(C,V_3))),A))
% Current number of equations to process: 3580
% Current number of ordered equations: 3
% Current number of rules: 2237
% New rule produced :
% [2395]
% converse(composition(composition(composition(composition(converse(A),B),C),V_3),V_4))
% <->
% composition(converse(composition(C,composition(V_3,V_4))),composition(
% converse(B),A))
% Current number of equations to process: 3580
% Current number of ordered equations: 2
% Current number of rules: 2238
% New rule produced :
% [2396]
% composition(converse(V_4),composition(converse(composition(B,composition(C,V_3))),A))
% <->
% converse(composition(composition(composition(composition(converse(A),B),C),V_3),V_4))
% Current number of equations to process: 3580
% Current number of ordered equations: 1
% Current number of rules: 2239
% New rule produced :
% [2397]
% composition(converse(composition(C,composition(V_3,V_4))),composition(
% converse(B),A)) <->
% converse(composition(composition(composition(composition(converse(A),B),C),V_3),V_4))
% Current number of equations to process: 3580
% Current number of ordered equations: 0
% Current number of rules: 2240
% New rule produced :
% [2398]
% composition(A,composition(B,converse(composition(converse(C),V_3)))) <->
% composition(composition(A,B),composition(converse(V_3),C))
% Current number of equations to process: 3614
% Current number of ordered equations: 1
% Current number of rules: 2241
% New rule produced :
% [2399]
% composition(composition(A,B),composition(converse(V_3),C)) <->
% composition(A,composition(B,converse(composition(converse(C),V_3))))
% Current number of equations to process: 3614
% Current number of ordered equations: 0
% Current number of rules: 2242
% New rule produced :
% [2400]
% composition(converse(composition(converse(B),A)),composition(C,V_3)) <->
% composition(composition(composition(converse(A),B),C),V_3)
% Rule
% [2282]
% composition(converse(composition(converse(B),A)),composition(converse(C),V_3))
% <-> composition(composition(composition(converse(A),B),converse(C)),V_3)
% collapsed.
% Current number of equations to process: 3631
% Current number of ordered equations: 1
% Current number of rules: 2242
% New rule produced :
% [2401]
% composition(composition(composition(converse(A),B),C),V_3) <->
% composition(converse(composition(converse(B),A)),composition(C,V_3))
% Rule
% [2283]
% composition(composition(composition(converse(A),B),converse(C)),V_3) <->
% composition(converse(composition(converse(B),A)),composition(converse(C),V_3))
% collapsed.
% Current number of equations to process: 3631
% Current number of ordered equations: 0
% Current number of rules: 2242
% New rule produced :
% [2402]
% composition(A,converse(composition(composition(converse(B),C),V_3))) <->
% composition(converse(composition(V_3,converse(A))),composition(converse(C),B))
% Current number of equations to process: 3630
% Current number of ordered equations: 1
% Current number of rules: 2243
% New rule produced :
% [2403]
% composition(converse(composition(V_3,converse(A))),composition(converse(C),B))
% <-> composition(A,converse(composition(composition(converse(B),C),V_3)))
% Current number of equations to process: 3630
% Current number of ordered equations: 0
% Current number of rules: 2244
% New rule produced :
% [2404]
% converse(composition(composition(converse(V_3),C),composition(B,converse(A))))
% <-> composition(A,composition(converse(B),composition(converse(C),V_3)))
% Current number of equations to process: 3629
% Current number of ordered equations: 1
% Current number of rules: 2245
% New rule produced :
% [2405]
% composition(A,composition(converse(B),composition(converse(C),V_3))) <->
% converse(composition(composition(converse(V_3),C),composition(B,converse(A))))
% Current number of equations to process: 3629
% Current number of ordered equations: 0
% Current number of rules: 2246
% New rule produced :
% [2406]
% composition(composition(converse(A),composition(converse(B),C)),V_3) <->
% converse(composition(composition(converse(V_3),composition(converse(C),B)),A))
% Current number of equations to process: 3628
% Current number of ordered equations: 1
% Current number of rules: 2247
% New rule produced :
% [2407]
% converse(composition(composition(converse(V_3),composition(converse(C),B)),A))
% <-> composition(composition(converse(A),composition(converse(B),C)),V_3)
% Current number of equations to process: 3628
% Current number of ordered equations: 0
% Current number of rules: 2248
% New rule produced :
% [2408]
% converse(composition(composition(converse(V_3),composition(C,B)),A)) <->
% composition(converse(A),composition(converse(B),composition(converse(C),V_3)))
% Current number of equations to process: 3626
% Current number of ordered equations: 3
% Current number of rules: 2249
% New rule produced :
% [2409]
% converse(composition(composition(converse(V_3),C),composition(B,A))) <->
% composition(converse(A),composition(converse(B),composition(converse(C),V_3)))
% Current number of equations to process: 3626
% Current number of ordered equations: 2
% Current number of rules: 2250
% New rule produced :
% [2410]
% composition(converse(A),composition(converse(B),composition(converse(C),V_3)))
% <-> converse(composition(composition(converse(V_3),composition(C,B)),A))
% Current number of equations to process: 3626
% Current number of ordered equations: 1
% Current number of rules: 2251
% New rule produced :
% [2411]
% composition(converse(A),composition(converse(B),composition(converse(C),V_3)))
% <-> converse(composition(composition(converse(V_3),C),composition(B,A)))
% Current number of equations to process: 3626
% Current number of ordered equations: 0
% Current number of rules: 2252
% New rule produced :
% [2412]
% composition(composition(A,converse(B)),converse(composition(converse(C),V_3)))
% <->
% composition(converse(composition(B,converse(A))),composition(converse(V_3),C))
% Current number of equations to process: 3625
% Current number of ordered equations: 1
% Current number of rules: 2253
% New rule produced :
% [2413]
% composition(converse(composition(B,converse(A))),composition(converse(V_3),C))
% <->
% composition(composition(A,converse(B)),converse(composition(converse(C),V_3)))
% Current number of equations to process: 3625
% Current number of ordered equations: 0
% Current number of rules: 2254
% New rule produced :
% [2414]
% converse(composition(converse(composition(composition(A,converse(B)),C)),V_3))
% <->
% composition(converse(V_3),composition(converse(composition(B,converse(A))),C))
% Current number of equations to process: 3624
% Current number of ordered equations: 1
% Current number of rules: 2255
% New rule produced :
% [2415]
% composition(converse(V_3),composition(converse(composition(B,converse(A))),C))
% <->
% converse(composition(converse(composition(composition(A,converse(B)),C)),V_3))
% Current number of equations to process: 3624
% Current number of ordered equations: 0
% Current number of rules: 2256
% New rule produced :
% [2416]
% composition(converse(composition(converse(B),A)),composition(converse(V_3),C))
% <->
% composition(composition(converse(A),B),converse(composition(converse(C),V_3)))
% Current number of equations to process: 3623
% Current number of ordered equations: 1
% Current number of rules: 2257
% New rule produced :
% [2417]
% composition(composition(converse(A),B),converse(composition(converse(C),V_3)))
% <->
% composition(converse(composition(converse(B),A)),composition(converse(V_3),C))
% Current number of equations to process: 3623
% Current number of ordered equations: 0
% Current number of rules: 2258
% New rule produced :
% [2418]
% converse(complement(composition(converse(A),composition(converse(B),C)))) join
% composition(composition(converse(C),B),A) -> top
% Current number of equations to process: 3626
% Current number of ordered equations: 0
% Current number of rules: 2259
% New rule produced :
% [2419]
% composition(composition(A,composition(converse(B),composition(converse(C),V_3))),
% converse(V_4)) <->
% composition(A,converse(composition(V_4,composition(composition(converse(V_3),C),B))))
% Current number of equations to process: 3624
% Current number of ordered equations: 3
% Current number of rules: 2260
% New rule produced :
% [2420]
% composition(A,converse(composition(V_4,composition(composition(converse(V_3),C),B))))
% <->
% composition(composition(A,composition(converse(B),composition(converse(C),V_3))),
% converse(V_4))
% Current number of equations to process: 3624
% Current number of ordered equations: 2
% Current number of rules: 2261
% New rule produced :
% [2421]
% composition(A,converse(composition(composition(composition(converse(V_4),V_3),C),B)))
% <->
% composition(composition(A,converse(B)),composition(converse(C),composition(
% converse(V_3),V_4)))
% Current number of equations to process: 3624
% Current number of ordered equations: 1
% Current number of rules: 2262
% New rule produced :
% [2422]
% composition(composition(A,converse(B)),composition(converse(C),composition(
% converse(V_3),V_4)))
% <->
% composition(A,converse(composition(composition(composition(converse(V_4),V_3),C),B)))
% Current number of equations to process: 3624
% Current number of ordered equations: 0
% Current number of rules: 2263
% New rule produced :
% [2423]
% composition(composition(converse(A),composition(converse(B),C)),composition(
% converse(V_3),V_4))
% <->
% composition(converse(composition(V_3,composition(composition(converse(C),B),A))),V_4)
% Current number of equations to process: 3622
% Current number of ordered equations: 3
% Current number of rules: 2264
% New rule produced :
% [2424]
% composition(converse(composition(V_3,composition(composition(converse(C),B),A))),V_4)
% <->
% composition(composition(converse(A),composition(converse(B),C)),composition(
% converse(V_3),V_4))
% Current number of equations to process: 3622
% Current number of ordered equations: 2
% Current number of rules: 2265
% New rule produced :
% [2425]
% composition(converse(A),composition(composition(converse(B),composition(
% converse(C),V_3)),V_4))
% <->
% composition(converse(composition(composition(composition(converse(V_3),C),B),A)),V_4)
% Current number of equations to process: 3622
% Current number of ordered equations: 1
% Current number of rules: 2266
% New rule produced :
% [2426]
% composition(converse(composition(composition(composition(converse(V_3),C),B),A)),V_4)
% <->
% composition(converse(A),composition(composition(converse(B),composition(
% converse(C),V_3)),V_4))
% Current number of equations to process: 3622
% Current number of ordered equations: 0
% Current number of rules: 2267
% New rule produced :
% [2427]
% converse(composition(composition(composition(A,converse(composition(B,C))),V_3),V_4))
% <->
% composition(converse(V_4),composition(converse(V_3),composition(B,composition(C,
% converse(A)))))
% Current number of equations to process: 3620
% Current number of ordered equations: 3
% Current number of rules: 2268
% New rule produced :
% [2428]
% converse(composition(A,composition(B,composition(converse(C),composition(
% converse(V_3),V_4)))))
% <->
% composition(composition(composition(converse(V_4),V_3),C),converse(composition(A,B)))
% Current number of equations to process: 3620
% Current number of ordered equations: 2
% Current number of rules: 2269
% New rule produced :
% [2429]
% composition(converse(V_4),composition(converse(V_3),composition(B,composition(C,
% converse(A)))))
% <->
% converse(composition(composition(composition(A,converse(composition(B,C))),V_3),V_4))
% Current number of equations to process: 3620
% Current number of ordered equations: 1
% Current number of rules: 2270
% New rule produced :
% [2430]
% composition(composition(composition(converse(V_4),V_3),C),converse(composition(A,B)))
% <->
% converse(composition(A,composition(B,composition(converse(C),composition(
% converse(V_3),V_4)))))
% Current number of equations to process: 3620
% Current number of ordered equations: 0
% Current number of rules: 2271
% New rule produced :
% [2431]
% converse(composition(composition(composition(converse(A),composition(
% converse(B),C)),V_3),V_4))
% <->
% composition(converse(composition(V_3,V_4)),composition(composition(converse(C),B),A))
% Current number of equations to process: 3618
% Current number of ordered equations: 3
% Current number of rules: 2272
% New rule produced :
% [2432]
% converse(composition(composition(composition(converse(composition(A,B)),C),V_3),V_4))
% <->
% composition(converse(V_4),composition(converse(V_3),composition(composition(
% converse(C),A),B)))
% Current number of equations to process: 3618
% Current number of ordered equations: 2
% Current number of rules: 2273
% New rule produced :
% [2433]
% composition(converse(V_4),composition(converse(V_3),composition(composition(
% converse(C),A),B)))
% <->
% converse(composition(composition(composition(converse(composition(A,B)),C),V_3),V_4))
% Current number of equations to process: 3618
% Current number of ordered equations: 1
% Current number of rules: 2274
% New rule produced :
% [2434]
% composition(converse(composition(V_3,V_4)),composition(composition(converse(C),B),A))
% <->
% converse(composition(composition(composition(converse(A),composition(
% converse(B),C)),V_3),V_4))
% Current number of equations to process: 3618
% Current number of ordered equations: 0
% Current number of rules: 2275
% New rule produced :
% [2435]
% composition(composition(A,converse(composition(converse(C),B))),V_3) <->
% composition(A,composition(composition(converse(B),C),V_3))
% Rule
% [2303]
% composition(composition(A,converse(composition(converse(C),B))),converse(V_3))
% <-> composition(A,composition(composition(converse(B),C),converse(V_3)))
% collapsed.
% Current number of equations to process: 3649
% Current number of ordered equations: 1
% Current number of rules: 2275
% New rule produced :
% [2436]
% composition(A,composition(composition(converse(B),C),V_3)) <->
% composition(composition(A,converse(composition(converse(C),B))),V_3)
% Rule
% [2304]
% composition(A,composition(composition(converse(B),C),converse(V_3))) <->
% composition(composition(A,converse(composition(converse(C),B))),converse(V_3))
% collapsed.
% Current number of equations to process: 3649
% Current number of ordered equations: 0
% Current number of rules: 2275
% New rule produced :
% [2437]
% composition(composition(converse(A),composition(converse(B),C)),V_3) <->
% converse(composition(composition(converse(composition(C,V_3)),B),A))
% Current number of equations to process: 3658
% Current number of ordered equations: 1
% Current number of rules: 2276
% New rule produced :
% [2438]
% converse(composition(composition(converse(composition(C,V_3)),B),A)) <->
% composition(composition(converse(A),composition(converse(B),C)),V_3)
% Current number of equations to process: 3658
% Current number of ordered equations: 0
% Current number of rules: 2277
% New rule produced :
% [2439]
% composition(composition(composition(A,converse(V_3)),converse(C)),B) <->
% composition(A,converse(composition(composition(converse(B),C),V_3)))
% Current number of equations to process: 3657
% Current number of ordered equations: 1
% Current number of rules: 2278
% New rule produced :
% [2440]
% composition(A,converse(composition(composition(converse(B),C),V_3))) <->
% composition(composition(composition(A,converse(V_3)),converse(C)),B)
% Current number of equations to process: 3657
% Current number of ordered equations: 0
% Current number of rules: 2279
% New rule produced :
% [2441]
% composition(converse(composition(composition(converse(A),B),C)),V_3) <->
% composition(converse(C),composition(converse(B),composition(A,V_3)))
% Current number of equations to process: 3656
% Current number of ordered equations: 1
% Current number of rules: 2280
% New rule produced :
% [2442]
% composition(converse(C),composition(converse(B),composition(A,V_3))) <->
% composition(converse(composition(composition(converse(A),B),C)),V_3)
% Current number of equations to process: 3656
% Current number of ordered equations: 0
% Current number of rules: 2281
% New rule produced :
% [2443]
% converse(composition(composition(converse(V_3),C),composition(converse(B),A)))
% <-> composition(composition(converse(A),B),composition(converse(C),V_3))
% Current number of equations to process: 3655
% Current number of ordered equations: 1
% Current number of rules: 2282
% New rule produced :
% [2444]
% composition(composition(converse(A),B),composition(converse(C),V_3)) <->
% converse(composition(composition(converse(V_3),C),composition(converse(B),A)))
% Current number of equations to process: 3655
% Current number of ordered equations: 0
% Current number of rules: 2283
% New rule produced :
% [2445]
% converse(composition(composition(converse(composition(converse(B),V_3)),C),A))
% <-> composition(converse(A),composition(converse(composition(B,C)),V_3))
% Current number of equations to process: 3654
% Current number of ordered equations: 1
% Current number of rules: 2284
% New rule produced :
% [2446]
% composition(converse(A),composition(converse(composition(B,C)),V_3)) <->
% converse(composition(composition(converse(composition(converse(B),V_3)),C),A))
% Current number of equations to process: 3654
% Current number of ordered equations: 0
% Current number of rules: 2285
% New rule produced :
% [2447]
% converse(composition(composition(converse(composition(composition(C,V_3),V_4)),B),A))
% <->
% composition(converse(A),composition(composition(converse(B),C),composition(V_3,V_4)))
% Current number of equations to process: 3652
% Current number of ordered equations: 3
% Current number of rules: 2286
% New rule produced :
% [2448]
% composition(A,composition(converse(composition(composition(converse(B),C),V_3)),V_4))
% <->
% composition(composition(A,converse(V_3)),composition(composition(converse(C),B),V_4))
% Current number of equations to process: 3652
% Current number of ordered equations: 2
% Current number of rules: 2287
% New rule produced :
% [2449]
% composition(converse(A),composition(composition(converse(B),C),composition(V_3,V_4)))
% <->
% converse(composition(composition(converse(composition(composition(C,V_3),V_4)),B),A))
% Current number of equations to process: 3652
% Current number of ordered equations: 1
% Current number of rules: 2288
% New rule produced :
% [2450]
% composition(composition(A,converse(V_3)),composition(composition(converse(C),B),V_4))
% <->
% composition(A,composition(converse(composition(composition(converse(B),C),V_3)),V_4))
% Current number of equations to process: 3652
% Current number of ordered equations: 0
% Current number of rules: 2289
% New rule produced :
% [2451]
% composition(converse(composition(composition(converse(A),B),C)),composition(V_3,V_4))
% <->
% composition(converse(C),composition(composition(composition(converse(B),A),V_3),V_4))
% Current number of equations to process: 3650
% Current number of ordered equations: 3
% Current number of rules: 2290
% New rule produced :
% [2452]
% composition(composition(A,B),converse(composition(composition(converse(C),V_3),V_4)))
% <->
% composition(A,composition(composition(B,converse(V_4)),composition(converse(V_3),C)))
% Current number of equations to process: 3650
% Current number of ordered equations: 2
% Current number of rules: 2291
% New rule produced :
% [2453]
% composition(A,composition(composition(B,converse(V_4)),composition(converse(V_3),C)))
% <->
% composition(composition(A,B),converse(composition(composition(converse(C),V_3),V_4)))
% Current number of equations to process: 3650
% Current number of ordered equations: 1
% Current number of rules: 2292
% New rule produced :
% [2454]
% composition(converse(C),composition(composition(composition(converse(B),A),V_3),V_4))
% <->
% composition(converse(composition(composition(converse(A),B),C)),composition(V_3,V_4))
% Current number of equations to process: 3650
% Current number of ordered equations: 0
% Current number of rules: 2293
% New rule produced :
% [2455]
% converse(composition(composition(converse(composition(composition(C,V_3),V_4)),B),A))
% <->
% composition(converse(A),composition(composition(composition(converse(B),C),V_3),V_4))
% Current number of equations to process: 3648
% Current number of ordered equations: 3
% Current number of rules: 2294
% New rule produced :
% [2456]
% composition(A,composition(converse(composition(composition(converse(B),C),V_3)),V_4))
% <->
% composition(composition(composition(A,converse(V_3)),composition(converse(C),B)),V_4)
% Current number of equations to process: 3648
% Current number of ordered equations: 2
% Current number of rules: 2295
% New rule produced :
% [2457]
% composition(converse(A),composition(composition(composition(converse(B),C),V_3),V_4))
% <->
% converse(composition(composition(converse(composition(composition(C,V_3),V_4)),B),A))
% Current number of equations to process: 3648
% Current number of ordered equations: 1
% Current number of rules: 2296
% New rule produced :
% [2458]
% composition(composition(composition(A,converse(V_3)),composition(converse(C),B)),V_4)
% <->
% composition(A,composition(converse(composition(composition(converse(B),C),V_3)),V_4))
% Current number of equations to process: 3648
% Current number of ordered equations: 0
% Current number of rules: 2297
% New rule produced :
% [2459]
% converse(composition(composition(converse(composition(C,composition(V_3,V_4))),B),A))
% <->
% composition(converse(A),composition(composition(converse(B),composition(C,V_3)),V_4))
% Current number of equations to process: 3646
% Current number of ordered equations: 3
% Current number of rules: 2298
% New rule produced :
% [2460]
% composition(A,composition(B,converse(composition(composition(converse(C),V_3),V_4))))
% <->
% composition(composition(A,composition(B,converse(V_4))),composition(converse(V_3),C))
% Current number of equations to process: 3646
% Current number of ordered equations: 2
% Current number of rules: 2299
% New rule produced :
% [2461]
% composition(converse(A),composition(composition(converse(B),composition(C,V_3)),V_4))
% <->
% converse(composition(composition(converse(composition(C,composition(V_3,V_4))),B),A))
% Current number of equations to process: 3646
% Current number of ordered equations: 1
% Current number of rules: 2300
% New rule produced :
% [2462]
% composition(composition(A,composition(B,converse(V_4))),composition(converse(V_3),C))
% <->
% composition(A,composition(B,converse(composition(composition(converse(C),V_3),V_4))))
% Current number of equations to process: 3646
% Current number of ordered equations: 0
% Current number of rules: 2301
% New rule produced :
% [2463]
% converse(composition(composition(converse(composition(C,composition(V_3,V_4))),B),A))
% <->
% composition(converse(A),composition(composition(composition(converse(B),C),V_3),V_4))
% Current number of equations to process: 3644
% Current number of ordered equations: 3
% Current number of rules: 2302
% New rule produced :
% [2464]
% composition(A,composition(B,converse(composition(composition(converse(C),V_3),V_4))))
% <->
% composition(composition(composition(A,B),converse(V_4)),composition(converse(V_3),C))
% Current number of equations to process: 3644
% Current number of ordered equations: 2
% Current number of rules: 2303
% New rule produced :
% [2465]
% composition(converse(A),composition(composition(composition(converse(B),C),V_3),V_4))
% <->
% converse(composition(composition(converse(composition(C,composition(V_3,V_4))),B),A))
% Current number of equations to process: 3644
% Current number of ordered equations: 1
% Current number of rules: 2304
% New rule produced :
% [2466]
% composition(composition(composition(A,B),converse(V_4)),composition(converse(V_3),C))
% <->
% composition(A,composition(B,converse(composition(composition(converse(C),V_3),V_4))))
% Current number of equations to process: 3644
% Current number of ordered equations: 0
% Current number of rules: 2305
% New rule produced :
% [2467]
% composition(A,composition(converse(V_3),composition(composition(converse(C),B),V_4)))
% <->
% composition(composition(A,converse(composition(composition(converse(B),C),V_3))),V_4)
% Current number of equations to process: 3643
% Current number of ordered equations: 1
% Current number of rules: 2306
% New rule produced :
% [2468]
% composition(composition(A,converse(composition(composition(converse(B),C),V_3))),V_4)
% <->
% composition(A,composition(converse(V_3),composition(composition(converse(C),B),V_4)))
% Current number of equations to process: 3643
% Current number of ordered equations: 0
% Current number of rules: 2307
% New rule produced :
% [2469]
% composition(converse(C),composition(composition(composition(converse(B),A),V_3),V_4))
% <->
% composition(composition(converse(composition(composition(converse(A),B),C)),V_3),V_4)
% Current number of equations to process: 3642
% Current number of ordered equations: 1
% Current number of rules: 2308
% New rule produced :
% [2470]
% composition(composition(converse(composition(composition(converse(A),B),C)),V_3),V_4)
% <->
% composition(converse(C),composition(composition(composition(converse(B),A),V_3),V_4))
% Current number of equations to process: 3642
% Current number of ordered equations: 0
% Current number of rules: 2309
% New rule produced :
% [2471]
% composition(converse(C),composition(composition(converse(B),A),composition(V_3,V_4)))
% <->
% composition(composition(converse(composition(composition(converse(A),B),C)),V_3),V_4)
% Current number of equations to process: 3641
% Current number of ordered equations: 1
% Current number of rules: 2310
% New rule produced :
% [2472]
% composition(composition(converse(composition(composition(converse(A),B),C)),V_3),V_4)
% <->
% composition(converse(C),composition(composition(converse(B),A),composition(V_3,V_4)))
% Current number of equations to process: 3641
% Current number of ordered equations: 0
% Current number of rules: 2311
% New rule produced :
% [2473]
% composition(composition(A,converse(V_3)),composition(composition(converse(C),B),V_4))
% <->
% composition(composition(A,converse(composition(composition(converse(B),C),V_3))),V_4)
% Current number of equations to process: 3640
% Current number of ordered equations: 1
% Current number of rules: 2312
% New rule produced :
% [2474]
% composition(composition(A,converse(composition(composition(converse(B),C),V_3))),V_4)
% <->
% composition(composition(A,converse(V_3)),composition(composition(converse(C),B),V_4))
% Current number of equations to process: 3640
% Current number of ordered equations: 0
% Current number of rules: 2313
% New rule produced :
% [2475]
% composition(converse(composition(composition(converse(A),B),C)),composition(V_3,V_4))
% <->
% composition(composition(converse(C),composition(composition(converse(B),A),V_3)),V_4)
% Current number of equations to process: 3638
% Current number of ordered equations: 3
% Current number of rules: 2314
% New rule produced :
% [2476]
% composition(composition(A,B),converse(composition(composition(converse(C),V_3),V_4)))
% <->
% composition(composition(A,composition(B,converse(V_4))),composition(converse(V_3),C))
% Current number of equations to process: 3638
% Current number of ordered equations: 2
% Current number of rules: 2315
% New rule produced :
% [2477]
% composition(composition(converse(C),composition(composition(converse(B),A),V_3)),V_4)
% <->
% composition(converse(composition(composition(converse(A),B),C)),composition(V_3,V_4))
% Current number of equations to process: 3638
% Current number of ordered equations: 1
% Current number of rules: 2316
% New rule produced :
% [2478]
% composition(composition(A,composition(B,converse(V_4))),composition(converse(V_3),C))
% <->
% composition(composition(A,B),converse(composition(composition(converse(C),V_3),V_4)))
% Current number of equations to process: 3638
% Current number of ordered equations: 0
% Current number of rules: 2317
% New rule produced :
% [2479]
% composition(composition(A,composition(converse(B),C)),V_3) <->
% composition(A,composition(converse(composition(converse(C),B)),V_3))
% Rule
% [2332]
% composition(composition(converse(A),composition(converse(B),C)),V_3) <->
% composition(converse(A),composition(converse(composition(converse(C),B)),V_3))
% collapsed.
% Current number of equations to process: 3668
% Current number of ordered equations: 1
% Current number of rules: 2317
% New rule produced :
% [2480]
% composition(A,composition(converse(composition(converse(C),B)),V_3)) <->
% composition(composition(A,composition(converse(B),C)),V_3)
% Rule
% [2334]
% composition(converse(A),composition(converse(composition(converse(C),B)),V_3))
% <-> composition(composition(converse(A),composition(converse(B),C)),V_3)
% collapsed.
% Current number of equations to process: 3668
% Current number of ordered equations: 0
% Current number of rules: 2317
% New rule produced :
% [2481]
% converse(composition(converse(composition(C,V_3)),composition(converse(B),A)))
% <-> composition(composition(composition(converse(A),B),C),V_3)
% Current number of equations to process: 3667
% Current number of ordered equations: 1
% Current number of rules: 2318
% New rule produced :
% [2482]
% composition(composition(composition(converse(A),B),C),V_3) <->
% converse(composition(converse(composition(C,V_3)),composition(converse(B),A)))
% Current number of equations to process: 3667
% Current number of ordered equations: 0
% Current number of rules: 2319
% New rule produced :
% [2483]
% converse(composition(converse(composition(composition(converse(A),B),C)),V_3))
% <-> composition(converse(composition(composition(converse(B),A),V_3)),C)
% Current number of equations to process: 3666
% Current number of ordered equations: 1
% Current number of rules: 2320
% New rule produced :
% [2484]
% composition(converse(composition(composition(converse(B),A),V_3)),C) <->
% converse(composition(converse(composition(composition(converse(A),B),C)),V_3))
% Current number of equations to process: 3666
% Current number of ordered equations: 0
% Current number of rules: 2321
% New rule produced :
% [2485]
% composition(composition(converse(A),composition(converse(B),C)),converse(V_3))
% <-> converse(composition(V_3,composition(converse(C),composition(B,A))))
% Current number of equations to process: 3665
% Current number of ordered equations: 1
% Current number of rules: 2322
% New rule produced :
% [2486]
% converse(composition(V_3,composition(converse(C),composition(B,A)))) <->
% composition(composition(converse(A),composition(converse(B),C)),converse(V_3))
% Current number of equations to process: 3665
% Current number of ordered equations: 0
% Current number of rules: 2323
% New rule produced :
% [2487]
% converse(composition(converse(V_3),composition(composition(converse(C),B),
% converse(A)))) <->
% composition(A,composition(composition(converse(B),C),V_3))
% Current number of equations to process: 3664
% Current number of ordered equations: 1
% Current number of rules: 2324
% New rule produced :
% [2488]
% composition(A,composition(composition(converse(B),C),V_3)) <->
% converse(composition(converse(V_3),composition(composition(converse(C),B),
% converse(A))))
% Current number of equations to process: 3664
% Current number of ordered equations: 0
% Current number of rules: 2325
% New rule produced :
% [2489]
% converse(composition(A,converse(composition(composition(converse(B),C),V_3))))
% <->
% composition(composition(converse(composition(converse(C),B)),V_3),converse(A))
% Current number of equations to process: 3663
% Current number of ordered equations: 1
% Current number of rules: 2326
% New rule produced :
% [2490]
% composition(composition(converse(composition(converse(C),B)),V_3),converse(A))
% <->
% converse(composition(A,converse(composition(composition(converse(B),C),V_3))))
% Current number of equations to process: 3663
% Current number of ordered equations: 0
% Current number of rules: 2327
% New rule produced :
% [2491]
% converse(composition(converse(composition(composition(converse(A),B),C)),V_3))
% <->
% composition(converse(V_3),composition(converse(composition(converse(B),A)),C))
% Current number of equations to process: 3662
% Current number of ordered equations: 1
% Current number of rules: 2328
% New rule produced :
% [2492]
% composition(converse(V_3),composition(converse(composition(converse(B),A)),C))
% <->
% converse(composition(converse(composition(composition(converse(A),B),C)),V_3))
% Current number of equations to process: 3662
% Current number of ordered equations: 0
% Current number of rules: 2329
% New rule produced :
% [2493]
% converse(composition(composition(converse(V_4),V_3),composition(B,composition(C,
% converse(A)))))
% <->
% composition(composition(A,converse(composition(B,C))),composition(converse(V_3),V_4))
% Current number of equations to process: 3664
% Current number of ordered equations: 3
% Current number of rules: 2330
% New rule produced :
% [2494]
% converse(composition(composition(converse(V_4),composition(C,composition(V_3,
% converse(B)))),A))
% <->
% composition(converse(A),composition(composition(B,converse(composition(C,V_3))),V_4))
% Current number of equations to process: 3664
% Current number of ordered equations: 2
% Current number of rules: 2331
% New rule produced :
% [2495]
% composition(converse(A),composition(composition(B,converse(composition(C,V_3))),V_4))
% <->
% converse(composition(composition(converse(V_4),composition(C,composition(V_3,
% converse(B)))),A))
% Current number of equations to process: 3664
% Current number of ordered equations: 1
% Current number of rules: 2332
% New rule produced :
% [2496]
% composition(composition(A,converse(composition(B,C))),composition(converse(V_3),V_4))
% <->
% converse(composition(composition(converse(V_4),V_3),composition(B,composition(C,
% converse(A)))))
% Current number of equations to process: 3664
% Current number of ordered equations: 0
% Current number of rules: 2333
% New rule produced :
% [2497]
% converse(composition(composition(converse(V_4),V_3),composition(composition(
% converse(C),A),B)))
% <->
% composition(composition(converse(composition(A,B)),C),composition(converse(V_3),V_4))
% Current number of equations to process: 3662
% Current number of ordered equations: 3
% Current number of rules: 2334
% New rule produced :
% [2498]
% converse(composition(composition(converse(V_4),composition(composition(
% converse(V_3),B),C)),A))
% <->
% composition(converse(A),composition(composition(converse(composition(B,C)),V_3),V_4))
% Current number of equations to process: 3662
% Current number of ordered equations: 2
% Current number of rules: 2335
% New rule produced :
% [2499]
% composition(converse(A),composition(composition(converse(composition(B,C)),V_3),V_4))
% <->
% converse(composition(composition(converse(V_4),composition(composition(
% converse(V_3),B),C)),A))
% Current number of equations to process: 3662
% Current number of ordered equations: 1
% Current number of rules: 2336
% New rule produced :
% [2500]
% composition(composition(converse(composition(A,B)),C),composition(converse(V_3),V_4))
% <->
% converse(composition(composition(converse(V_4),V_3),composition(composition(
% converse(C),A),B)))
% Current number of equations to process: 3662
% Current number of ordered equations: 0
% Current number of rules: 2337
% New rule produced :
% [2501]
% composition(A,composition(B,composition(converse(C),V_3))) <->
% composition(composition(A,B),converse(composition(converse(V_3),C)))
% Rule
% [2375]
% composition(A,composition(converse(B),composition(converse(C),V_3))) <->
% composition(composition(A,converse(B)),converse(composition(converse(V_3),C)))
% collapsed.
% Current number of equations to process: 3698
% Current number of ordered equations: 1
% Current number of rules: 2337
% New rule produced :
% [2502]
% composition(composition(A,B),converse(composition(converse(V_3),C))) <->
% composition(A,composition(B,composition(converse(C),V_3)))
% Rule
% [2376]
% composition(composition(A,converse(B)),converse(composition(converse(V_3),C)))
% <-> composition(A,composition(converse(B),composition(converse(C),V_3)))
% collapsed.
% Current number of equations to process: 3698
% Current number of ordered equations: 0
% Current number of rules: 2337
% New rule produced :
% [2503]
% composition(A,converse(composition(B,composition(converse(C),V_3)))) <->
% composition(composition(A,converse(V_3)),composition(C,converse(B)))
% Current number of equations to process: 3711
% Current number of ordered equations: 1
% Current number of rules: 2338
% New rule produced :
% [2504]
% composition(composition(A,converse(V_3)),composition(C,converse(B))) <->
% composition(A,converse(composition(B,composition(converse(C),V_3))))
% Current number of equations to process: 3711
% Current number of ordered equations: 0
% Current number of rules: 2339
% New rule produced :
% [2505]
% composition(A,converse(composition(B,composition(converse(C),V_3)))) <->
% composition(composition(composition(A,converse(V_3)),C),converse(B))
% Current number of equations to process: 3710
% Current number of ordered equations: 1
% Current number of rules: 2340
% New rule produced :
% [2506]
% composition(composition(composition(A,converse(V_3)),C),converse(B)) <->
% composition(A,converse(composition(B,composition(converse(C),V_3))))
% Current number of equations to process: 3710
% Current number of ordered equations: 0
% Current number of rules: 2341
% New rule produced :
% [2507]
% converse(composition(V_3,composition(converse(composition(B,C)),A))) <->
% composition(converse(A),composition(B,composition(C,converse(V_3))))
% Current number of equations to process: 3709
% Current number of ordered equations: 1
% Current number of rules: 2342
% New rule produced :
% [2508]
% composition(converse(A),composition(B,composition(C,converse(V_3)))) <->
% converse(composition(V_3,composition(converse(composition(B,C)),A)))
% Current number of equations to process: 3709
% Current number of ordered equations: 0
% Current number of rules: 2343
% New rule produced :
% [2509]
% composition(converse(composition(A,composition(converse(B),C))),V_3) <->
% composition(converse(C),composition(composition(B,converse(A)),V_3))
% Current number of equations to process: 3708
% Current number of ordered equations: 1
% Current number of rules: 2344
% New rule produced :
% [2510]
% composition(converse(C),composition(composition(B,converse(A)),V_3)) <->
% composition(converse(composition(A,composition(converse(B),C))),V_3)
% Current number of equations to process: 3708
% Current number of ordered equations: 0
% Current number of rules: 2345
% New rule produced :
% [2511]
% composition(converse(composition(A,composition(converse(B),C))),V_3) <->
% composition(converse(C),composition(B,composition(converse(A),V_3)))
% Current number of equations to process: 3707
% Current number of ordered equations: 1
% Current number of rules: 2346
% New rule produced :
% [2512]
% composition(converse(C),composition(B,composition(converse(A),V_3))) <->
% composition(converse(composition(A,composition(converse(B),C))),V_3)
% Current number of equations to process: 3707
% Current number of ordered equations: 0
% Current number of rules: 2347
% New rule produced :
% [2513]
% converse(composition(V_3,composition(converse(composition(B,C)),A))) <->
% composition(composition(converse(A),B),composition(C,converse(V_3)))
% Current number of equations to process: 3706
% Current number of ordered equations: 1
% Current number of rules: 2348
% New rule produced :
% [2514]
% composition(composition(converse(A),B),composition(C,converse(V_3))) <->
% converse(composition(V_3,composition(converse(composition(B,C)),A)))
% Current number of equations to process: 3706
% Current number of ordered equations: 0
% Current number of rules: 2349
% New rule produced :
% [2515]
% converse(composition(composition(V_3,C),composition(converse(B),A))) <->
% composition(composition(composition(converse(A),B),converse(C)),converse(V_3))
% Current number of equations to process: 3705
% Current number of ordered equations: 1
% Current number of rules: 2350
% New rule produced :
% [2516]
% composition(composition(composition(converse(A),B),converse(C)),converse(V_3))
% <-> converse(composition(composition(V_3,C),composition(converse(B),A)))
% Current number of equations to process: 3705
% Current number of ordered equations: 0
% Current number of rules: 2351
% New rule produced :
% [2517]
% converse(composition(V_3,composition(converse(composition(converse(A),C)),B)))
% <-> composition(composition(converse(composition(A,B)),C),converse(V_3))
% Current number of equations to process: 3704
% Current number of ordered equations: 1
% Current number of rules: 2352
% New rule produced :
% [2518]
% composition(composition(converse(composition(A,B)),C),converse(V_3)) <->
% converse(composition(V_3,composition(converse(composition(converse(A),C)),B)))
% Current number of equations to process: 3704
% Current number of ordered equations: 0
% Current number of rules: 2353
% New rule produced :
% [2519]
% converse(composition(V_4,composition(converse(composition(composition(B,C),V_3)),A)))
% <->
% composition(composition(composition(converse(A),B),composition(C,V_3)),
% converse(V_4))
% Current number of equations to process: 3704
% Current number of ordered equations: 3
% Current number of rules: 2354
% New rule produced :
% [2520]
% composition(A,composition(converse(composition(B,composition(converse(C),V_3))),V_4))
% <->
% composition(composition(A,composition(converse(V_3),C)),composition(converse(B),V_4))
% Current number of equations to process: 3704
% Current number of ordered equations: 2
% Current number of rules: 2355
% New rule produced :
% [2521]
% composition(composition(A,composition(converse(V_3),C)),composition(converse(B),V_4))
% <->
% composition(A,composition(converse(composition(B,composition(converse(C),V_3))),V_4))
% Current number of equations to process: 3704
% Current number of ordered equations: 1
% Current number of rules: 2356
% New rule produced :
% [2522]
% composition(composition(composition(converse(A),B),composition(C,V_3)),
% converse(V_4)) <->
% converse(composition(V_4,composition(converse(composition(composition(B,C),V_3)),A)))
% Current number of equations to process: 3704
% Current number of ordered equations: 0
% Current number of rules: 2357
% New rule produced :
% [2523]
% composition(converse(composition(A,composition(converse(B),C))),composition(V_3,V_4))
% <->
% composition(composition(converse(C),B),composition(composition(converse(A),V_3),V_4))
% Current number of equations to process: 3702
% Current number of ordered equations: 3
% Current number of rules: 2358
% New rule produced :
% [2524]
% composition(A,composition(composition(B,composition(converse(V_4),V_3)),
% converse(C))) <->
% composition(composition(A,B),converse(composition(C,composition(converse(V_3),V_4))))
% Current number of equations to process: 3702
% Current number of ordered equations: 2
% Current number of rules: 2359
% New rule produced :
% [2525]
% composition(composition(A,B),converse(composition(C,composition(converse(V_3),V_4))))
% <->
% composition(A,composition(composition(B,composition(converse(V_4),V_3)),
% converse(C)))
% Current number of equations to process: 3702
% Current number of ordered equations: 1
% Current number of rules: 2360
% New rule produced :
% [2526]
% composition(composition(converse(C),B),composition(composition(converse(A),V_3),V_4))
% <->
% composition(converse(composition(A,composition(converse(B),C))),composition(V_3,V_4))
% Current number of equations to process: 3702
% Current number of ordered equations: 0
% Current number of rules: 2361
% New rule produced :
% [2527]
% converse(composition(V_4,composition(converse(composition(composition(B,C),V_3)),A)))
% <->
% composition(composition(composition(composition(converse(A),B),C),V_3),
% converse(V_4))
% Current number of equations to process: 3700
% Current number of ordered equations: 3
% Current number of rules: 2362
% New rule produced :
% [2528]
% composition(A,composition(converse(composition(B,composition(converse(C),V_3))),V_4))
% <->
% composition(composition(composition(A,composition(converse(V_3),C)),converse(B)),V_4)
% Current number of equations to process: 3700
% Current number of ordered equations: 2
% Current number of rules: 2363
% New rule produced :
% [2529]
% composition(composition(composition(composition(converse(A),B),C),V_3),
% converse(V_4)) <->
% converse(composition(V_4,composition(converse(composition(composition(B,C),V_3)),A)))
% Current number of equations to process: 3700
% Current number of ordered equations: 1
% Current number of rules: 2364
% New rule produced :
% [2530]
% composition(composition(composition(A,composition(converse(V_3),C)),converse(B)),V_4)
% <->
% composition(A,composition(converse(composition(B,composition(converse(C),V_3))),V_4))
% Current number of equations to process: 3700
% Current number of ordered equations: 0
% Current number of rules: 2365
% New rule produced :
% [2531]
% converse(composition(V_4,composition(converse(composition(B,composition(C,V_3))),A)))
% <->
% composition(composition(composition(converse(A),composition(B,C)),V_3),
% converse(V_4))
% Current number of equations to process: 3698
% Current number of ordered equations: 3
% Current number of rules: 2366
% New rule produced :
% [2532]
% composition(composition(A,composition(B,composition(converse(V_4),V_3))),
% converse(C)) <->
% composition(A,composition(B,converse(composition(C,composition(converse(V_3),V_4)))))
% Current number of equations to process: 3698
% Current number of ordered equations: 2
% Current number of rules: 2367
% New rule produced :
% [2533]
% composition(A,composition(B,converse(composition(C,composition(converse(V_3),V_4)))))
% <->
% composition(composition(A,composition(B,composition(converse(V_4),V_3))),
% converse(C))
% Current number of equations to process: 3698
% Current number of ordered equations: 1
% Current number of rules: 2368
% New rule produced :
% [2534]
% composition(composition(composition(converse(A),composition(B,C)),V_3),
% converse(V_4)) <->
% converse(composition(V_4,composition(converse(composition(B,composition(C,V_3))),A)))
% Current number of equations to process: 3698
% Current number of ordered equations: 0
% Current number of rules: 2369
% New rule produced :
% [2535]
% converse(composition(V_4,composition(converse(composition(B,composition(C,V_3))),A)))
% <->
% composition(composition(composition(composition(converse(A),B),C),V_3),
% converse(V_4))
% Current number of equations to process: 3696
% Current number of ordered equations: 3
% Current number of rules: 2370
% New rule produced :
% [2536]
% composition(composition(composition(A,B),composition(converse(V_4),V_3)),
% converse(C)) <->
% composition(A,composition(B,converse(composition(C,composition(converse(V_3),V_4)))))
% Current number of equations to process: 3696
% Current number of ordered equations: 2
% Current number of rules: 2371
% New rule produced :
% [2537]
% composition(A,composition(B,converse(composition(C,composition(converse(V_3),V_4)))))
% <->
% composition(composition(composition(A,B),composition(converse(V_4),V_3)),
% converse(C))
% Current number of equations to process: 3696
% Current number of ordered equations: 1
% Current number of rules: 2372
% New rule produced :
% [2538]
% composition(composition(composition(composition(converse(A),B),C),V_3),
% converse(V_4)) <->
% converse(composition(V_4,composition(converse(composition(B,composition(C,V_3))),A)))
% Current number of equations to process: 3696
% Current number of ordered equations: 0
% Current number of rules: 2373
% New rule produced :
% [2539]
% composition(composition(A,converse(composition(B,composition(converse(C),V_3)))),V_4)
% <->
% composition(A,composition(composition(converse(V_3),C),composition(converse(B),V_4)))
% Current number of equations to process: 3695
% Current number of ordered equations: 1
% Current number of rules: 2374
% New rule produced :
% [2540]
% composition(A,composition(composition(converse(V_3),C),composition(converse(B),V_4)))
% <->
% composition(composition(A,converse(composition(B,composition(converse(C),V_3)))),V_4)
% Current number of equations to process: 3695
% Current number of ordered equations: 0
% Current number of rules: 2375
% New rule produced :
% [2541]
% composition(composition(converse(composition(A,composition(converse(B),C))),V_3),V_4)
% <->
% composition(composition(converse(C),B),composition(composition(converse(A),V_3),V_4))
% Current number of equations to process: 3694
% Current number of ordered equations: 1
% Current number of rules: 2376
% New rule produced :
% [2542]
% composition(composition(converse(C),B),composition(composition(converse(A),V_3),V_4))
% <->
% composition(composition(converse(composition(A,composition(converse(B),C))),V_3),V_4)
% Current number of equations to process: 3694
% Current number of ordered equations: 0
% Current number of rules: 2377
% New rule produced :
% [2543]
% composition(composition(converse(composition(A,composition(converse(B),C))),V_3),V_4)
% <->
% composition(composition(converse(C),B),composition(converse(A),composition(V_3,V_4)))
% Current number of equations to process: 3693
% Current number of ordered equations: 1
% Current number of rules: 2378
% New rule produced :
% [2544]
% composition(composition(converse(C),B),composition(converse(A),composition(V_3,V_4)))
% <->
% composition(composition(converse(composition(A,composition(converse(B),C))),V_3),V_4)
% Current number of equations to process: 3693
% Current number of ordered equations: 0
% Current number of rules: 2379
% New rule produced :
% [2545]
% composition(composition(A,converse(composition(B,composition(converse(C),V_3)))),V_4)
% <->
% composition(composition(A,composition(converse(V_3),C)),composition(converse(B),V_4))
% Current number of equations to process: 3692
% Current number of ordered equations: 1
% Current number of rules: 2380
% New rule produced :
% [2546]
% composition(composition(A,composition(converse(V_3),C)),composition(converse(B),V_4))
% <->
% composition(composition(A,converse(composition(B,composition(converse(C),V_3)))),V_4)
% Current number of equations to process: 3692
% Current number of ordered equations: 0
% Current number of rules: 2381
% New rule produced :
% [2547]
% composition(converse(composition(A,composition(converse(B),C))),composition(V_3,V_4))
% <->
% composition(composition(composition(converse(C),B),composition(converse(A),V_3)),V_4)
% Current number of equations to process: 3690
% Current number of ordered equations: 3
% Current number of rules: 2382
% New rule produced :
% [2548]
% composition(composition(A,composition(B,composition(converse(V_4),V_3))),
% converse(C)) <->
% composition(composition(A,B),converse(composition(C,composition(converse(V_3),V_4))))
% Current number of equations to process: 3690
% Current number of ordered equations: 2
% Current number of rules: 2383
% New rule produced :
% [2549]
% composition(composition(A,B),converse(composition(C,composition(converse(V_3),V_4))))
% <->
% composition(composition(A,composition(B,composition(converse(V_4),V_3))),
% converse(C))
% Current number of equations to process: 3690
% Current number of ordered equations: 1
% Current number of rules: 2384
% New rule produced :
% [2550]
% composition(composition(composition(converse(C),B),composition(converse(A),V_3)),V_4)
% <->
% composition(converse(composition(A,composition(converse(B),C))),composition(V_3,V_4))
% Current number of equations to process: 3690
% Current number of ordered equations: 0
% Current number of rules: 2385
% New rule produced :
% [2551]
% converse(composition(A,top)) join converse(complement(composition(A,converse(B))))
% -> top
% Current number of equations to process: 3732
% Current number of ordered equations: 0
% Current number of rules: 2386
% New rule produced :
% [2552]
% converse(composition(A,converse(B))) join complement(composition(B,converse(A)))
% -> top
% Rule
% [2048]
% converse(composition(A,converse(B))) join converse(composition(A,converse(C))) join
% complement(composition(C,converse(A))) -> top collapsed.
% Current number of equations to process: 3731
% Current number of ordered equations: 0
% Current number of rules: 2386
% New rule produced :
% [2553]
% converse(composition(composition(converse(V_3),C),converse(composition(A,B))))
% <-> composition(A,composition(B,composition(converse(C),V_3)))
% Current number of equations to process: 3728
% Current number of ordered equations: 1
% Current number of rules: 2387
% New rule produced :
% [2554]
% composition(A,composition(B,composition(converse(C),V_3))) <->
% converse(composition(composition(converse(V_3),C),converse(composition(A,B))))
% Current number of equations to process: 3728
% Current number of ordered equations: 0
% Current number of rules: 2388
% New rule produced :
% [2555]
% converse(composition(A,converse(composition(B,composition(converse(C),V_3)))))
% <-> composition(B,converse(composition(A,composition(converse(V_3),C))))
% Current number of equations to process: 3727
% Current number of ordered equations: 1
% Current number of rules: 2389
% New rule produced :
% [2556]
% composition(B,converse(composition(A,composition(converse(V_3),C)))) <->
% converse(composition(A,converse(composition(B,composition(converse(C),V_3)))))
% Current number of equations to process: 3727
% Current number of ordered equations: 0
% Current number of rules: 2390
% New rule produced :
% [2557]
% converse(composition(composition(A,B),C)) join converse(complement(composition(A,
% composition(B,C))))
% -> top
% Current number of equations to process: 3724
% Current number of ordered equations: 1
% Current number of rules: 2391
% New rule produced :
% [2558]
% converse(complement(converse(composition(composition(A,B),C)))) join
% composition(A,composition(B,C)) -> top
% Rule
% [2078]
% converse(complement(converse(composition(composition(A,B),C)))) join
% composition(A,composition(B,C)) join composition(V_3,composition(B,C)) -> top
% collapsed.
% Current number of equations to process: 3724
% Current number of ordered equations: 0
% Current number of rules: 2391
% New rule produced :
% [2559]
% converse(composition(A,converse(composition(B,composition(converse(C),V_3)))))
% <->
% composition(composition(B,converse(composition(converse(V_3),C))),converse(A))
% Current number of equations to process: 3722
% Current number of ordered equations: 1
% Current number of rules: 2392
% New rule produced :
% [2560]
% composition(composition(B,converse(composition(converse(V_3),C))),converse(A))
% <->
% converse(composition(A,converse(composition(B,composition(converse(C),V_3)))))
% Current number of equations to process: 3722
% Current number of ordered equations: 0
% Current number of rules: 2393
% New rule produced :
% [2561]
% converse(composition(converse(composition(A,composition(converse(B),C))),V_3))
% <->
% composition(converse(V_3),composition(A,converse(composition(converse(C),B))))
% Current number of equations to process: 3721
% Current number of ordered equations: 1
% Current number of rules: 2394
% New rule produced :
% [2562]
% composition(converse(V_3),composition(A,converse(composition(converse(C),B))))
% <->
% converse(composition(converse(composition(A,composition(converse(B),C))),V_3))
% Current number of equations to process: 3721
% Current number of ordered equations: 0
% Current number of rules: 2395
% New rule produced :
% [2563]
% converse(composition(composition(converse(V_3),composition(converse(C),B)),
% converse(A))) <->
% composition(composition(A,composition(converse(B),C)),V_3)
% Current number of equations to process: 3720
% Current number of ordered equations: 1
% Current number of rules: 2396
% New rule produced :
% [2564]
% composition(composition(A,composition(converse(B),C)),V_3) <->
% converse(composition(composition(converse(V_3),composition(converse(C),B)),
% converse(A)))
% Current number of equations to process: 3720
% Current number of ordered equations: 0
% Current number of rules: 2397
% New rule produced :
% [2565]
% converse(composition(V_4,composition(converse(V_3),composition(B,composition(C,
% converse(A))))))
% <->
% composition(composition(composition(A,converse(composition(B,C))),V_3),
% converse(V_4))
% Current number of equations to process: 3716
% Current number of ordered equations: 3
% Current number of rules: 2398
% New rule produced :
% [2566]
% converse(composition(composition(V_3,composition(V_4,converse(C))),composition(
% converse(B),A)))
% <->
% composition(composition(converse(A),B),composition(C,converse(composition(V_3,V_4))))
% Current number of equations to process: 3716
% Current number of ordered equations: 2
% Current number of rules: 2399
% New rule produced :
% [2567]
% composition(composition(composition(A,converse(composition(B,C))),V_3),
% converse(V_4)) <->
% converse(composition(V_4,composition(converse(V_3),composition(B,composition(C,
% converse(A))))))
% Current number of equations to process: 3716
% Current number of ordered equations: 1
% Current number of rules: 2400
% New rule produced :
% [2568]
% composition(composition(converse(A),B),composition(C,converse(composition(V_3,V_4))))
% <->
% converse(composition(composition(V_3,composition(V_4,converse(C))),composition(
% converse(B),A)))
% Current number of equations to process: 3716
% Current number of ordered equations: 0
% Current number of rules: 2401
% New rule produced :
% [2569]
% converse(composition(V_4,composition(converse(V_3),composition(composition(
% converse(C),A),B))))
% <->
% composition(composition(composition(converse(composition(A,B)),C),V_3),
% converse(V_4))
% Current number of equations to process: 3714
% Current number of ordered equations: 3
% Current number of rules: 2402
% New rule produced :
% [2570]
% converse(composition(composition(composition(converse(V_4),C),V_3),composition(
% converse(B),A)))
% <->
% composition(composition(converse(A),B),composition(converse(composition(C,V_3)),V_4))
% Current number of equations to process: 3714
% Current number of ordered equations: 2
% Current number of rules: 2403
% New rule produced :
% [2571]
% composition(composition(converse(A),B),composition(converse(composition(C,V_3)),V_4))
% <->
% converse(composition(composition(composition(converse(V_4),C),V_3),composition(
% converse(B),A)))
% Current number of equations to process: 3714
% Current number of ordered equations: 1
% Current number of rules: 2404
% New rule produced :
% [2572]
% composition(composition(composition(converse(composition(A,B)),C),V_3),
% converse(V_4)) <->
% converse(composition(V_4,composition(converse(V_3),composition(composition(
% converse(C),A),B))))
% Current number of equations to process: 3714
% Current number of ordered equations: 0
% Current number of rules: 2405
% New rule produced :
% [2573]
% composition(composition(converse(composition(A,B)),C),complement(composition(
% composition(
% converse(C),A),B))) join
% complement(one) -> complement(one)
% Current number of equations to process: 3712
% Current number of ordered equations: 0
% Current number of rules: 2406
% New rule produced :
% [2574]
% converse(composition(A,composition(composition(composition(B,converse(C)),
% converse(V_3)),V_4))) <->
% composition(composition(converse(V_4),composition(V_3,composition(C,converse(B)))),
% converse(A))
% Current number of equations to process: 3710
% Current number of ordered equations: 3
% Current number of rules: 2407
% New rule produced :
% [2575]
% converse(composition(A,composition(B,composition(composition(converse(C),V_3),
% converse(V_4))))) <->
% composition(composition(composition(V_4,composition(converse(V_3),C)),
% converse(B)),converse(A))
% Current number of equations to process: 3710
% Current number of ordered equations: 2
% Current number of rules: 2408
% New rule produced :
% [2576]
% composition(composition(converse(V_4),composition(V_3,composition(C,converse(B)))),
% converse(A)) <->
% converse(composition(A,composition(composition(composition(B,converse(C)),
% converse(V_3)),V_4)))
% Current number of equations to process: 3710
% Current number of ordered equations: 1
% Current number of rules: 2409
% New rule produced :
% [2577]
% composition(composition(composition(V_4,composition(converse(V_3),C)),
% converse(B)),converse(A)) <->
% converse(composition(A,composition(B,composition(composition(converse(C),V_3),
% converse(V_4)))))
% Current number of equations to process: 3710
% Current number of ordered equations: 0
% Current number of rules: 2410
% New rule produced :
% [2578]
% converse(composition(A,composition(composition(converse(B),composition(C,
% converse(V_3))),V_4)))
% <->
% composition(composition(converse(V_4),composition(composition(V_3,converse(C)),B)),
% converse(A))
% Current number of equations to process: 3708
% Current number of ordered equations: 3
% Current number of rules: 2411
% New rule produced :
% [2579]
% converse(composition(composition(A,composition(composition(converse(B),C),
% converse(V_3))),V_4)) <->
% composition(converse(V_4),composition(composition(V_3,composition(converse(C),B)),
% converse(A)))
% Current number of equations to process: 3708
% Current number of ordered equations: 2
% Current number of rules: 2412
% New rule produced :
% [2580]
% composition(converse(V_4),composition(composition(V_3,composition(converse(C),B)),
% converse(A))) <->
% converse(composition(composition(A,composition(composition(converse(B),C),
% converse(V_3))),V_4))
% Current number of equations to process: 3708
% Current number of ordered equations: 1
% Current number of rules: 2413
% New rule produced :
% [2581]
% composition(composition(converse(V_4),composition(composition(V_3,converse(C)),B)),
% converse(A)) <->
% converse(composition(A,composition(composition(converse(B),composition(C,
% converse(V_3))),V_4)))
% Current number of equations to process: 3708
% Current number of ordered equations: 0
% Current number of rules: 2414
% New rule produced :
% [2582]
% converse(composition(composition(composition(V_4,composition(converse(V_3),C)),
% converse(B)),A)) <->
% composition(converse(A),composition(B,composition(composition(converse(C),V_3),
% converse(V_4))))
% Current number of equations to process: 3706
% Current number of ordered equations: 3
% Current number of rules: 2415
% New rule produced :
% [2583]
% converse(composition(composition(V_4,converse(V_3)),composition(C,composition(
% converse(B),A))))
% <->
% composition(composition(composition(converse(A),B),converse(C)),composition(V_3,
% converse(V_4)))
% Current number of equations to process: 3706
% Current number of ordered equations: 2
% Current number of rules: 2416
% New rule produced :
% [2584]
% composition(converse(A),composition(B,composition(composition(converse(C),V_3),
% converse(V_4)))) <->
% converse(composition(composition(composition(V_4,composition(converse(V_3),C)),
% converse(B)),A))
% Current number of equations to process: 3706
% Current number of ordered equations: 1
% Current number of rules: 2417
% New rule produced :
% [2585]
% composition(composition(composition(converse(A),B),converse(C)),composition(V_3,
% converse(V_4)))
% <->
% converse(composition(composition(V_4,converse(V_3)),composition(C,composition(
% Cputime limit exceeded (core dumped)
%
% EOF
%------------------------------------------------------------------------------