TSTP Solution File: REL008-3 by CiME---2.01
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : REL008-3 : TPTP v6.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n111.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32286.75MB
% OS : Linux 2.6.32-431.11.2.el6.x86_64
% CPULimit : 300s
% DateTime : Tue Jun 10 00:30:50 EDT 2014
% Result : Unsatisfiable 24.01s
% Output : Refutation 24.01s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : REL008-3 : TPTP v6.0.0. Released v4.0.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n111.star.cs.uiowa.edu
% % Model : x86_64 x86_64
% % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory : 32286.75MB
% % OS : Linux 2.6.32-431.11.2.el6.x86_64
% % CPULimit : 300
% % DateTime : Thu Jun 5 16:37:58 CDT 2014
% % CPUTime : 24.01
% Processing problem /tmp/CiME_63448_n111.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " join : AC; sk3,sk2,sk1,zero,top,one : constant; converse : 1; composition : 2; meet : 2; complement : 1;";
% let X = vars "A B C";
% let Axioms = equations F X "
% composition(composition(A,B),C) = composition(A,composition(B,C));
% A = complement(complement(A) join complement(B)) join complement(complement(A) join B);
% meet(A,B) = complement(complement(A) join complement(B));
% composition(A,one) = A;
% composition(A join B,C) = composition(A,C) join composition(B,C);
% converse(converse(A)) = A;
% converse(A join B) = converse(A) join converse(B);
% converse(composition(A,B)) = composition(converse(B),converse(A));
% composition(converse(A),complement(composition(A,B))) join complement(B) = complement(B);
% top = A join complement(A);
% zero = meet(A,complement(A));
% 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 "
% sk3 lr_lex;
% sk2 lr_lex;
% sk1 lr_lex;
% zero lr_lex;
% top lr_lex;
% converse lr_lex;
% one lr_lex;
% meet lr_lex;
% complement lr_lex;
% composition mul;
% join mul;
% ";
%
% let p1 = precedence F "
% meet > composition > complement > converse > join > one > top > zero > sk1 > sk2 > sk3";
%
% let s2 = status F "
% sk3 mul;
% sk2 mul;
% sk1 mul;
% zero mul;
% top mul;
% converse mul;
% one mul;
% composition mul;
% meet mul;
% complement mul;
% join mul;
% ";
%
% let p2 = precedence F "
% meet > composition > complement > converse > join > one = top = zero = sk1 = sk2 = sk3";
%
% let o_auto = AUTO Axioms;
%
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
%
% let Conjectures = equations F X " composition(sk1,sk2 join sk3) = composition(sk1,sk2) join composition(sk1,sk3);"
% ;
% (*
% let Red_Axioms = normalize_equations Defining_rules Axioms;
%
% let Red_Conjectures = normalize_equations Defining_rules Conjectures;
% *)
% #time on;
%
% let res = prove_conj_by_ordered_completion o Axioms Conjectures;
%
% #time off;
%
%
% let status = if res then "unsatisfiable" else "satisfiable";
% #quit;
% Verbose level is now 1
%
% F : signature = <signature>
% X : variable_set = <variable set>
%
% Axioms : (F,X) equations = { composition(composition(A,B),C) =
% composition(A,composition(B,C)),
% A =
% complement(complement(A) join complement(B)) join
% complement(complement(A) join B),
% meet(A,B) =
% complement(complement(A) join complement(B)),
% composition(A,one) = A,
% composition(A join B,C) =
% composition(A,C) join composition(B,C),
% converse(converse(A)) = A,
% converse(A join B) =
% converse(A) join converse(B),
% converse(composition(A,B)) =
% composition(converse(B),converse(A)),
% composition(converse(A),complement(composition(A,B))) join
% complement(B) = complement(B),
% top = complement(A) join A,
% zero = meet(A,complement(A)),
% 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 = { composition(sk1,sk3 join sk2) =
% composition(sk1,sk3) join composition(sk1,sk2) }
% (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]
% 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: 1
% Current number of rules: 89
% New rule produced :
% [105]
% 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: 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]
% 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: 1
% Current number of rules: 102
% New rule produced :
% [118]
% 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: 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]
% 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: 1
% Current number of rules: 150
% New rule produced :
% [166]
% 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: 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]
% 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: 5
% Current number of rules: 424
% New rule produced :
% [440]
% 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: 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]
% 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: 5
% Current number of rules: 627
% New rule produced :
% [643]
% 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: 4
% Current number of rules: 628
% New rule produced :
% [644]
% 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: 3
% Current number of rules: 629
% New rule produced :
% [645]
% 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: 2
% Current number of rules: 630
% New rule produced :
% [646]
% 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: 1
% Current number of rules: 631
% New rule produced :
% [647]
% 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: 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]
% 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: 5
% Current number of rules: 710
% New rule produced :
% [726]
% 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: 4
% Current number of rules: 711
% New rule produced :
% [727]
% 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: 3
% Current number of rules: 712
% New rule produced :
% [728]
% 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: 2
% Current number of rules: 713
% New rule produced :
% [729]
% 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: 1
% Current number of rules: 714
% New rule produced :
% [730]
% 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: 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(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: 3
% Current number of rules: 890
% New rule produced :
% [906]
% 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: 2
% Current number of rules: 891
% New rule produced :
% [907]
% 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: 1
% Current number of rules: 892
% New rule produced :
% [908]
% 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: 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 [117]
% converse(composition(converse(A),B)) join converse(composition(converse(C),B))
% <-> composition(converse(B),A join C) is composed into [117]
% converse(
% composition(
% converse(A),B)) join
% converse(
% composition(
% converse(C),B))
% <->
% composition(
% converse(B),A) join
% composition(
% converse(B),C)
% Rule [104]
% converse(composition(A,converse(B))) join converse(composition(C,
% converse(B))) <->
% composition(B,converse(A) join converse(C)) is composed into [104]
% 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
% [105]
% composition(B,converse(A) join converse(C)) <->
% converse(composition(A,converse(B))) join converse(composition(C,converse(B)))
% collapsed.
% Rule
% [118]
% 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.
% The conjecture has been reduced.
% Conjecture is now:
% Trivial
%
% Current number of equations to process: 443
% Current number of ordered equations: 0
% Current number of rules: 959
% The current conjecture is true and the solution is the identity
% % SZS output start Refutation
%
% The following 5 rules have been used:
% [1]
% converse(converse(A)) -> A; trace = in the starting set
% [5] converse(A join B) -> converse(A) join converse(B); trace = in the starting set
% [6] composition(converse(B),converse(A)) -> converse(composition(A,B)); trace = in the starting set
% [52] converse(composition(C,A join B)) ->
% converse(composition(C,A)) join converse(composition(C,B)); trace = Cp of 6 and 5
% [1004] composition(A,B join C) -> composition(A,B) join composition(A,C); trace = Cp of 52 and 1
% % SZS output end Refutation
% All conjectures have been proven
%
% Execution time: 22.780000 sec
% res : bool = true
% time is now off
%
% status : string = "unsatisfiable"
% % SZS status Unsatisfiable
% CiME interrupted
%
% EOF
%------------------------------------------------------------------------------