TSTP Solution File: REL053-1 by CiME---2.01
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%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : REL053-1 : TPTP v6.4.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n024.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 16091.75MB
% OS : Linux 3.10.0-327.10.1.el7.x86_64
% CPULimit : 300s
% DateTime : Mon Mar 28 10:09:00 EDT 2016
% Result : Timeout 300.04s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL053-1 : TPTP v6.4.0. Released v6.4.0.
% 0.00/0.03 % Command : tptp2X_and_run_cime %s
% 0.02/0.22 % Computer : n024.star.cs.uiowa.edu
% 0.02/0.22 % Model : x86_64 x86_64
% 0.02/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.02/0.22 % Memory : 16091.75MB
% 0.02/0.22 % OS : Linux 3.10.0-327.10.1.el7.x86_64
% 0.02/0.22 % CPULimit : 300
% 0.02/0.22 % DateTime : Fri Mar 25 14:21:42 CDT 2016
% 0.02/0.22 % CPUTime :
% 1.12/1.35 Processing problem /tmp/CiME_22332_n024.star.cs.uiowa.edu
% 1.12/1.35 #verbose 1;
% 1.12/1.35 let F = signature " join : AC; zero,top,one : constant; converse : 1; composition : 2; meet : 2; complement : 1;join_complement_meet_composition_one_converse_top_zero__1, join_complement_meet_composition_one_converse_top_zero__2 : 0;";
% 1.12/1.35 let X = vars "A B C";
% 1.12/1.35 let Axioms = equations F X "
% 1.12/1.35 composition(composition(A,B),C) = composition(A,composition(B,C));
% 1.12/1.35 A = complement(complement(A) join complement(B)) join complement(complement(A) join B);
% 1.12/1.35 meet(A,B) = complement(complement(A) join complement(B));
% 1.12/1.35 composition(A,one) = A;
% 1.12/1.35 composition(A join B,C) = composition(A,C) join composition(B,C);
% 1.12/1.35 converse(converse(A)) = A;
% 1.12/1.35 converse(A join B) = converse(A) join converse(B);
% 1.12/1.35 converse(composition(A,B)) = composition(converse(B),converse(A));
% 1.12/1.35 composition(converse(A),complement(composition(A,B))) join complement(B) = complement(B);
% 1.12/1.35 top = A join complement(A);
% 1.12/1.35 zero = meet(A,complement(A));
% 1.12/1.35 ";
% 1.12/1.35
% 1.12/1.35 let s1 = status F "
% 1.12/1.35 zero lr_lex;
% 1.12/1.35 top lr_lex;
% 1.12/1.35 converse lr_lex;
% 1.12/1.35 one lr_lex;
% 1.12/1.35 meet lr_lex;
% 1.12/1.35 complement lr_lex;
% 1.12/1.35 composition mul;
% 1.12/1.35 join mul;
% 1.12/1.35 ";
% 1.12/1.35
% 1.12/1.35 let p1 = precedence F "
% 1.12/1.35 meet > composition > complement > converse > join > one > top > zero > join_complement_meet_composition_one_converse_top_zero__1 > join_complement_meet_composition_one_converse_top_zero__2";
% 1.12/1.35
% 1.12/1.35 let s2 = status F "
% 1.12/1.35 zero mul;
% 1.12/1.35 top mul;
% 1.12/1.35 converse mul;
% 1.12/1.35 one mul;
% 1.12/1.35 composition mul;
% 1.12/1.35 meet mul;
% 1.12/1.35 complement mul;
% 1.12/1.35 join mul;
% 1.12/1.35 ";
% 1.12/1.35
% 1.12/1.35 let p2 = precedence F "
% 1.12/1.35 meet > composition > complement > converse > join > one = top = zero > join_complement_meet_composition_one_converse_top_zero__1 > join_complement_meet_composition_one_converse_top_zero__2";
% 1.12/1.35
% 1.12/1.35 let o_auto = AUTO Axioms;
% 1.12/1.35
% 1.12/1.35 let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 1.12/1.35
% 1.12/1.35 let Conjectures = equations F X "join_complement_meet_composition_one_converse_top_zero__1 = join_complement_meet_composition_one_converse_top_zero__2"
% 1.12/1.35 ;
% 1.12/1.35 (*
% 1.12/1.35 let Red_Axioms = normalize_equations Defining_rules Axioms;
% 1.12/1.35
% 1.12/1.35 let Red_Conjectures = normalize_equations Defining_rules Conjectures;
% 1.12/1.35 *)
% 1.12/1.35 #time on;
% 1.12/1.35
% 1.12/1.35 let res = prove_conj_by_ordered_completion o Axioms Conjectures;
% 1.12/1.35
% 1.12/1.35 #time off;
% 1.12/1.35
% 1.12/1.35
% 1.12/1.35 let status = if res then "unsatisfiable" else "satisfiable";
% 1.12/1.35 #quit;
% 1.12/1.35 Verbose level is now 1
% 1.12/1.35
% 1.12/1.35 F : signature = <signature>
% 1.12/1.35 X : variable_set = <variable set>
% 1.12/1.35
% 1.12/1.35 Axioms : (F,X) equations = { composition(composition(A,B),C) =
% 1.12/1.35 composition(A,composition(B,C)),
% 1.12/1.35 A =
% 1.12/1.35 complement(complement(A) join complement(B)) join
% 1.12/1.35 complement(complement(A) join B),
% 1.12/1.35 meet(A,B) =
% 1.12/1.35 complement(complement(A) join complement(B)),
% 1.12/1.35 composition(A,one) = A,
% 1.12/1.35 composition(A join B,C) =
% 1.12/1.35 composition(A,C) join composition(B,C),
% 1.12/1.35 converse(converse(A)) = A,
% 1.12/1.35 converse(A join B) =
% 1.12/1.35 converse(A) join converse(B),
% 1.12/1.35 converse(composition(A,B)) =
% 1.12/1.35 composition(converse(B),converse(A)),
% 1.12/1.35 composition(converse(A),complement(composition(A,B))) join
% 1.12/1.35 complement(B) = complement(B),
% 1.12/1.35 top = complement(A) join A,
% 1.12/1.35 zero = meet(A,complement(A)) } (11 equation(s))
% 1.12/1.35 s1 : F status = <status>
% 1.12/1.35 p1 : F precedence = <precedence>
% 1.12/1.35 s2 : F status = <status>
% 1.12/1.35 p2 : F precedence = <precedence>
% 1.12/1.35 o_auto : F term_ordering = <term ordering>
% 1.12/1.35 o : F term_ordering = <term ordering>
% 1.12/1.35 Conjectures : (F,X) equations = { join_complement_meet_composition_one_converse_top_zero__1
% 1.12/1.35 =
% 1.12/1.35 join_complement_meet_composition_one_converse_top_zero__2 }
% 1.12/1.35 (1 equation(s))
% 1.12/1.35 time is now on
% 1.12/1.35
% 1.12/1.35 Initializing completion ...
% 1.12/1.35 New rule produced : [1] converse(converse(A)) -> A
% 1.12/1.35 Current number of equations to process: 0
% 1.12/1.35 Current number of ordered equations: 11
% 1.12/1.37 Current number of rules: 1
% 1.12/1.37 New rule produced : [2] composition(A,one) -> A
% 1.12/1.37 Current number of equations to process: 0
% 1.12/1.37 Current number of ordered equations: 10
% 1.12/1.37 Current number of rules: 2
% 1.12/1.37 New rule produced : [3] complement(A) join A -> top
% 1.12/1.37 Current number of equations to process: 0
% 1.12/1.37 Current number of ordered equations: 9
% 1.12/1.37 Current number of rules: 3
% 1.12/1.37 New rule produced : [4] meet(A,complement(A)) -> zero
% 1.12/1.37 Current number of equations to process: 0
% 1.12/1.37 Current number of ordered equations: 8
% 1.12/1.37 Current number of rules: 4
% 1.12/1.37 New rule produced : [5] converse(A join B) -> converse(A) join converse(B)
% 1.12/1.37 Current number of equations to process: 0
% 1.12/1.37 Current number of ordered equations: 7
% 1.12/1.37 Current number of rules: 5
% 1.12/1.37 New rule produced :
% 1.12/1.37 [6] composition(converse(B),converse(A)) -> converse(composition(A,B))
% 1.12/1.37 Current number of equations to process: 0
% 1.12/1.37 Current number of ordered equations: 6
% 1.12/1.37 Current number of rules: 6
% 1.12/1.37 New rule produced :
% 1.12/1.37 [7] composition(A,composition(B,C)) <-> composition(composition(A,B),C)
% 1.12/1.37 Current number of equations to process: 23
% 1.12/1.37 Current number of ordered equations: 11
% 1.12/1.37 Current number of rules: 7
% 1.12/1.37 New rule produced :
% 1.12/1.37 [8] composition(composition(A,B),C) <-> composition(A,composition(B,C))
% 1.12/1.37 Current number of equations to process: 23
% 1.12/1.37 Current number of ordered equations: 10
% 1.12/1.37 Current number of rules: 8
% 1.12/1.37 New rule produced :
% 1.12/1.37 [9] meet(A,B) -> complement(complement(A) join complement(B))
% 1.12/1.37 Rule [4] meet(A,complement(A)) -> zero collapsed.
% 1.12/1.37 Current number of equations to process: 24
% 1.12/1.37 Current number of ordered equations: 9
% 1.12/1.37 Current number of rules: 8
% 1.12/1.37 New rule produced : [10] complement(top) -> zero
% 1.12/1.37 Current number of equations to process: 23
% 1.12/1.37 Current number of ordered equations: 9
% 1.12/1.37 Current number of rules: 9
% 1.12/1.37 New rule produced :
% 1.12/1.37 [11] composition(A join B,C) -> composition(A,C) join composition(B,C)
% 1.12/1.37 Current number of equations to process: 23
% 1.12/1.37 Current number of ordered equations: 8
% 1.12/1.37 Current number of rules: 10
% 1.12/1.37 New rule produced :
% 1.12/1.37 [12]
% 1.12/1.37 composition(converse(A),complement(composition(A,B))) join complement(B) ->
% 1.12/1.37 complement(B)
% 1.12/1.37 Current number of equations to process: 23
% 1.12/1.37 Current number of ordered equations: 7
% 1.12/1.37 Current number of rules: 11
% 1.12/1.37 New rule produced :
% 1.12/1.37 [13]
% 1.12/1.37 complement(complement(A) join complement(B)) join complement(complement(A) join B)
% 1.12/1.37 -> A
% 1.12/1.37 Current number of equations to process: 23
% 1.12/1.37 Current number of ordered equations: 6
% 1.12/1.37 Current number of rules: 12
% 1.12/1.37 New rule produced : [14] top join complement(complement(A)) -> top join A
% 1.12/1.37 Current number of equations to process: 23
% 1.12/1.37 Current number of ordered equations: 5
% 1.12/1.37 Current number of rules: 13
% 1.12/1.37 New rule produced :
% 1.12/1.37 [15] converse(complement(A)) join converse(A) -> converse(top)
% 1.12/1.37 Current number of equations to process: 23
% 1.12/1.37 Current number of ordered equations: 4
% 1.12/1.37 Current number of rules: 14
% 1.12/1.37 New rule produced :
% 1.12/1.37 [16] converse(composition(B,converse(A))) <-> composition(A,converse(B))
% 1.12/1.37 Current number of equations to process: 23
% 1.12/1.37 Current number of ordered equations: 3
% 1.12/1.37 Current number of rules: 15
% 1.12/1.37 New rule produced :
% 1.12/1.37 [17] converse(composition(converse(B),A)) <-> composition(converse(A),B)
% 1.12/1.37 Current number of equations to process: 23
% 1.12/1.37 Current number of ordered equations: 2
% 1.12/1.37 Current number of rules: 16
% 1.12/1.37 New rule produced :
% 1.12/1.37 [18] composition(A,converse(B)) <-> converse(composition(B,converse(A)))
% 1.12/1.37 Current number of equations to process: 23
% 1.12/1.37 Current number of ordered equations: 1
% 1.12/1.37 Current number of rules: 17
% 1.12/1.37 New rule produced :
% 1.12/1.37 [19] composition(converse(A),B) <-> converse(composition(converse(B),A))
% 1.12/1.37 Current number of equations to process: 23
% 1.12/1.37 Current number of ordered equations: 0
% 1.12/1.37 Current number of rules: 18
% 1.12/1.37 New rule produced :
% 1.12/1.37 [20] composition(A,composition(one,B)) -> composition(A,B)
% 1.12/1.37 Current number of equations to process: 25
% 1.12/1.37 Current number of ordered equations: 0
% 1.12/1.37 Current number of rules: 19
% 1.12/1.37 New rule produced : [21] zero join top -> top
% 1.12/1.37 Current number of equations to process: 31
% 1.12/1.37 Current number of ordered equations: 0
% 1.12/1.37 Current number of rules: 20
% 1.12/1.37 New rule produced :
% 1.12/1.37 [22] composition(complement(B),A) join composition(B,A) -> composition(top,A)
% 1.12/1.37 Current number of equations to process: 43
% 1.12/1.37 Current number of ordered equations: 0
% 1.12/1.37 Current number of rules: 21
% 1.16/1.38 New rule produced :
% 1.16/1.38 [23] top join composition(converse(A),complement(composition(A,B))) -> top
% 1.16/1.38 Current number of equations to process: 42
% 1.16/1.38 Current number of ordered equations: 0
% 1.16/1.38 Current number of rules: 22
% 1.16/1.38 New rule produced :
% 1.16/1.38 [24] top join complement(A join B) join B -> top join complement(A)
% 1.16/1.38 Current number of equations to process: 41
% 1.16/1.38 Current number of ordered equations: 0
% 1.16/1.38 Current number of rules: 23
% 1.16/1.38 New rule produced :
% 1.16/1.38 [25]
% 1.16/1.38 composition(A,converse(composition(B,C))) <->
% 1.16/1.38 composition(composition(A,converse(C)),converse(B))
% 1.16/1.38 Current number of equations to process: 40
% 1.16/1.38 Current number of ordered equations: 1
% 1.16/1.38 Current number of rules: 24
% 1.16/1.38 New rule produced :
% 1.16/1.38 [26]
% 1.16/1.38 composition(composition(A,converse(C)),converse(B)) <->
% 1.16/1.38 composition(A,converse(composition(B,C)))
% 1.16/1.38 Current number of equations to process: 40
% 1.16/1.38 Current number of ordered equations: 0
% 1.16/1.38 Current number of rules: 25
% 1.16/1.38 New rule produced :
% 1.16/1.38 [27]
% 1.16/1.38 composition(converse(B),composition(converse(A),C)) <->
% 1.16/1.38 composition(converse(composition(A,B)),C)
% 1.16/1.38 Current number of equations to process: 39
% 1.16/1.38 Current number of ordered equations: 1
% 1.16/1.38 Current number of rules: 26
% 1.16/1.38 New rule produced :
% 1.16/1.38 [28]
% 1.16/1.38 composition(converse(composition(A,B)),C) <->
% 1.16/1.38 composition(converse(B),composition(converse(A),C))
% 1.16/1.38 Current number of equations to process: 39
% 1.16/1.38 Current number of ordered equations: 0
% 1.16/1.38 Current number of rules: 27
% 1.16/1.38 New rule produced :
% 1.16/1.38 [29] top join complement(complement(A join B) join B) -> top join A
% 1.16/1.38 Current number of equations to process: 36
% 1.16/1.38 Current number of ordered equations: 0
% 1.16/1.38 Current number of rules: 28
% 1.16/1.38 New rule produced :
% 1.16/1.38 [30]
% 1.16/1.38 composition(A,composition(composition(B,C),V_3)) <->
% 1.16/1.38 composition(composition(A,B),composition(C,V_3))
% 1.16/1.38 Current number of equations to process: 35
% 1.16/1.38 Current number of ordered equations: 1
% 1.16/1.38 Current number of rules: 29
% 1.16/1.38 New rule produced :
% 1.16/1.38 [31]
% 1.16/1.38 composition(composition(A,B),composition(C,V_3)) <->
% 1.16/1.38 composition(A,composition(composition(B,C),V_3))
% 1.16/1.38 Current number of equations to process: 35
% 1.16/1.38 Current number of ordered equations: 0
% 1.16/1.38 Current number of rules: 30
% 1.16/1.38 New rule produced :
% 1.16/1.38 [32]
% 1.16/1.38 composition(A,composition(composition(B,C),V_3)) <->
% 1.16/1.38 composition(composition(composition(A,B),C),V_3)
% 1.16/1.38 Current number of equations to process: 32
% 1.16/1.38 Current number of ordered equations: 5
% 1.16/1.38 Current number of rules: 31
% 1.16/1.38 New rule produced :
% 1.16/1.38 [33]
% 1.16/1.38 composition(A,composition(B,composition(C,V_3))) <->
% 1.16/1.38 composition(composition(A,composition(B,C)),V_3)
% 1.16/1.38 Current number of equations to process: 32
% 1.16/1.38 Current number of ordered equations: 4
% 1.16/1.38 Current number of rules: 32
% 1.16/1.38 New rule produced :
% 1.16/1.38 [34]
% 1.16/1.38 composition(A,composition(B,composition(C,V_3))) <->
% 1.16/1.38 composition(composition(composition(A,B),C),V_3)
% 1.16/1.38 Current number of equations to process: 32
% 1.16/1.38 Current number of ordered equations: 3
% 1.16/1.38 Current number of rules: 33
% 1.16/1.38 New rule produced :
% 1.16/1.38 [35]
% 1.16/1.38 composition(composition(A,composition(B,C)),V_3) <->
% 1.16/1.38 composition(A,composition(B,composition(C,V_3)))
% 1.16/1.38 Current number of equations to process: 32
% 1.16/1.38 Current number of ordered equations: 2
% 1.16/1.38 Current number of rules: 34
% 1.16/1.38 New rule produced :
% 1.16/1.38 [36]
% 1.16/1.38 composition(composition(composition(A,B),C),V_3) <->
% 1.16/1.38 composition(A,composition(composition(B,C),V_3))
% 1.16/1.38 Current number of equations to process: 32
% 1.16/1.38 Current number of ordered equations: 1
% 1.16/1.38 Current number of rules: 35
% 1.16/1.38 New rule produced :
% 1.16/1.38 [37]
% 1.16/1.38 composition(composition(composition(A,B),C),V_3) <->
% 1.16/1.38 composition(A,composition(B,composition(C,V_3)))
% 1.16/1.38 Current number of equations to process: 32
% 1.16/1.38 Current number of ordered equations: 0
% 1.16/1.38 Current number of rules: 36
% 1.16/1.38 New rule produced :
% 1.16/1.38 [38]
% 1.16/1.38 composition(composition(A,composition(B,C)),V_3) <->
% 1.16/1.38 composition(composition(A,B),composition(C,V_3))
% 1.16/1.38 Current number of equations to process: 31
% 1.16/1.38 Current number of ordered equations: 1
% 1.16/1.38 Current number of rules: 37
% 1.16/1.38 New rule produced :
% 1.16/1.38 [39]
% 1.16/1.38 composition(composition(A,B),composition(C,V_3)) <->
% 1.16/1.38 composition(composition(A,composition(B,C)),V_3)
% 1.16/1.38 Current number of equations to process: 31
% 1.16/1.38 Current number of ordered equations: 0
% 1.16/1.38 Current number of rules: 38
% 1.16/1.38 New rule produced :
% 1.16/1.38 [40]
% 1.16/1.38 composition(converse(A),complement(A)) join complement(one) ->
% 1.16/1.38 complement(one)
% 1.16/1.38 Current number of equations to process: 39
% 1.16/1.38 Current number of ordered equations: 0
% 1.16/1.38 Current number of rules: 39
% 1.16/1.44 New rule produced :
% 1.16/1.44 [41]
% 1.16/1.44 zero join composition(converse(A),complement(composition(A,top))) -> zero
% 1.16/1.44 Current number of equations to process: 44
% 1.16/1.44 Current number of ordered equations: 0
% 1.16/1.44 Current number of rules: 40
% 1.16/1.44 New rule produced :
% 1.16/1.44 [42] zero join complement(complement(A) join complement(A)) -> A
% 1.16/1.44 Current number of equations to process: 72
% 1.16/1.44 Current number of ordered equations: 0
% 1.16/1.44 Current number of rules: 41
% 1.16/1.44 New rule produced :
% 1.16/1.44 [43] top join complement(complement(A) join B) -> top join complement(B)
% 1.16/1.44 Rule [29] top join complement(complement(A join B) join B) -> top join A
% 1.16/1.44 collapsed.
% 1.16/1.44 Current number of equations to process: 71
% 1.16/1.44 Current number of ordered equations: 1
% 1.16/1.44 Current number of rules: 41
% 1.16/1.44 New rule produced : [44] top join A <-> top join complement(B)
% 1.16/1.44 Rule [14] top join complement(complement(A)) -> top join A collapsed.
% 1.16/1.44 Rule
% 1.16/1.44 [23] top join composition(converse(A),complement(composition(A,B))) -> top
% 1.16/1.44 collapsed.
% 1.16/1.44 Rule [24] top join complement(A join B) join B -> top join complement(A)
% 1.16/1.44 collapsed.
% 1.16/1.44 Rule [43] top join complement(complement(A) join B) -> top join complement(B)
% 1.16/1.44 collapsed.
% 1.16/1.44 Current number of equations to process: 72
% 1.16/1.44 Current number of ordered equations: 2
% 1.16/1.44 Current number of rules: 38
% 1.16/1.44 Rule [44] top join A <-> top join complement(B) is composed into [44]
% 1.16/1.44 top join A
% 1.16/1.44 -> top
% 1.16/1.44 New rule produced : [45] top join complement(B) -> top
% 1.16/1.44 Current number of equations to process: 71
% 1.16/1.44 Current number of ordered equations: 1
% 1.16/1.44 Current number of rules: 39
% 1.16/1.44 New rule produced :
% 1.16/1.44 [46] zero join complement(complement(complement(A)) join A) -> complement(A)
% 1.16/1.44 Current number of equations to process: 70
% 1.16/1.44 Current number of ordered equations: 0
% 1.16/1.44 Current number of rules: 40
% 1.16/1.44 New rule produced : [47] complement(complement(A)) -> A
% 1.16/1.44 Rule
% 1.16/1.44 [46] zero join complement(complement(complement(A)) join A) -> complement(A)
% 1.16/1.44 collapsed.
% 1.16/1.44 Current number of equations to process: 69
% 1.16/1.44 Current number of ordered equations: 0
% 1.16/1.44 Current number of rules: 40
% 1.16/1.44 New rule produced : [48] zero join complement(A join A) -> complement(A)
% 1.16/1.44 Rule [42] zero join complement(complement(A) join complement(A)) -> A
% 1.16/1.44 collapsed.
% 1.16/1.44 Current number of equations to process: 68
% 1.16/1.44 Current number of ordered equations: 0
% 1.16/1.44 Current number of rules: 40
% 1.16/1.44 New rule produced :
% 1.16/1.44 [49]
% 1.16/1.44 converse(composition(C,A join B)) ->
% 1.16/1.44 converse(composition(C,A)) join converse(composition(C,B))
% 1.16/1.44 Current number of equations to process: 66
% 1.16/1.44 Current number of ordered equations: 1
% 1.16/1.44 Current number of rules: 41
% 1.16/1.44 New rule produced :
% 1.16/1.44 [50]
% 1.16/1.44 composition(converse(A),converse(B) join converse(C)) ->
% 1.16/1.44 converse(composition(B,A)) join converse(composition(C,A))
% 1.16/1.44 Current number of equations to process: 66
% 1.16/1.44 Current number of ordered equations: 0
% 1.16/1.44 Current number of rules: 42
% 1.16/1.44 New rule produced :
% 1.16/1.44 [51]
% 1.16/1.44 composition(A,complement(composition(converse(A),B))) join complement(B) ->
% 1.16/1.44 complement(B)
% 1.16/1.44 Current number of equations to process: 65
% 1.16/1.44 Current number of ordered equations: 0
% 1.16/1.44 Current number of rules: 43
% 1.16/1.44 New rule produced :
% 1.16/1.44 [52]
% 1.16/1.44 converse(complement(A join B)) join converse(A) join converse(B) ->
% 1.16/1.44 converse(top)
% 1.16/1.44 Current number of equations to process: 61
% 1.16/1.44 Current number of ordered equations: 0
% 1.16/1.44 Current number of rules: 44
% 1.16/1.44 New rule produced : [53] zero join complement(zero join complement(A)) -> A
% 1.16/1.44 Current number of equations to process: 75
% 1.16/1.44 Current number of ordered equations: 0
% 1.16/1.44 Current number of rules: 45
% 1.16/1.44 New rule produced :
% 1.16/1.44 [54]
% 1.16/1.44 complement(complement(A) join B) join B <->
% 1.16/1.44 complement(complement(B) join A) join A
% 1.16/1.44 Current number of equations to process: 74
% 1.16/1.44 Current number of ordered equations: 0
% 1.16/1.44 Current number of rules: 46
% 1.16/1.44 New rule produced :
% 1.16/1.44 [55] complement(zero join complement(A)) join complement(zero join A) -> top
% 1.16/1.44 Current number of equations to process: 72
% 1.16/1.44 Current number of ordered equations: 0
% 1.16/1.44 Current number of rules: 47
% 1.16/1.44 New rule produced : [56] converse(top) join complement(converse(A)) -> top
% 1.16/1.44 Current number of equations to process: 92
% 1.16/1.44 Current number of ordered equations: 0
% 1.16/1.44 Current number of rules: 48
% 1.16/1.44 New rule produced :
% 1.16/1.44 [57] converse(complement(converse(A))) join A -> converse(top)
% 1.16/1.49 Current number of equations to process: 91
% 1.16/1.49 Current number of ordered equations: 0
% 1.16/1.49 Current number of rules: 49
% 1.16/1.49 New rule produced : [58] converse(zero) join converse(top) -> converse(top)
% 1.16/1.49 Current number of equations to process: 92
% 1.16/1.49 Current number of ordered equations: 0
% 1.16/1.49 Current number of rules: 50
% 1.16/1.49 New rule produced : [59] composition(converse(one),A) -> A
% 1.16/1.49 Current number of equations to process: 101
% 1.16/1.49 Current number of ordered equations: 0
% 1.16/1.49 Current number of rules: 51
% 1.16/1.49 New rule produced : [60] converse(top) join converse(A) -> converse(top)
% 1.16/1.49 Rule [58] converse(zero) join converse(top) -> converse(top) collapsed.
% 1.16/1.49 Current number of equations to process: 134
% 1.16/1.49 Current number of ordered equations: 0
% 1.16/1.49 Current number of rules: 51
% 1.16/1.49 New rule produced :
% 1.16/1.49 [61]
% 1.16/1.49 converse(composition(converse(A),B)) <->
% 1.16/1.49 composition(converse(composition(one,B)),A)
% 1.16/1.49 Current number of equations to process: 156
% 1.16/1.49 Current number of ordered equations: 1
% 1.16/1.49 Current number of rules: 52
% 1.16/1.49 New rule produced :
% 1.16/1.49 [62]
% 1.16/1.49 composition(converse(composition(one,B)),A) <->
% 1.16/1.49 converse(composition(converse(A),B))
% 1.16/1.49 Current number of equations to process: 156
% 1.16/1.49 Current number of ordered equations: 0
% 1.16/1.49 Current number of rules: 53
% 1.16/1.49 New rule produced :
% 1.16/1.49 [63] composition(zero,A) join composition(top,A) -> composition(top,A)
% 1.16/1.49 Current number of equations to process: 155
% 1.16/1.49 Current number of ordered equations: 0
% 1.16/1.49 Current number of rules: 54
% 1.16/1.49 New rule produced :
% 1.16/1.49 [64] composition(top,A) join complement(composition(B,A)) -> top
% 1.16/1.49 Current number of equations to process: 154
% 1.16/1.49 Current number of ordered equations: 0
% 1.16/1.49 Current number of rules: 55
% 1.16/1.49 New rule produced :
% 1.16/1.49 [65]
% 1.16/1.49 composition(A,converse(composition(B,converse(one)))) ->
% 1.16/1.49 composition(A,converse(B))
% 1.16/1.49 Current number of equations to process: 152
% 1.16/1.49 Current number of ordered equations: 0
% 1.16/1.49 Current number of rules: 56
% 1.16/1.49 New rule produced :
% 1.16/1.49 [66]
% 1.16/1.49 converse(composition(converse(composition(one,A)),B)) <->
% 1.16/1.49 composition(converse(B),A)
% 1.16/1.49 Current number of equations to process: 151
% 1.16/1.49 Current number of ordered equations: 1
% 1.16/1.49 Current number of rules: 57
% 1.16/1.49 New rule produced :
% 1.16/1.49 [67]
% 1.16/1.49 composition(converse(B),A) <->
% 1.16/1.49 converse(composition(converse(composition(one,A)),B))
% 1.16/1.49 Current number of equations to process: 151
% 1.16/1.49 Current number of ordered equations: 0
% 1.16/1.49 Current number of rules: 58
% 1.16/1.49 New rule produced :
% 1.16/1.49 [68]
% 1.16/1.49 composition(A,composition(composition(one,B),C)) ->
% 1.16/1.49 composition(A,composition(B,C))
% 1.16/1.49 Current number of equations to process: 155
% 1.16/1.49 Current number of ordered equations: 0
% 1.16/1.49 Current number of rules: 59
% 1.16/1.49 New rule produced :
% 1.16/1.49 [69]
% 1.16/1.49 converse(composition(A,composition(B,converse(C)))) <->
% 1.16/1.49 composition(C,converse(composition(A,B)))
% 1.16/1.49 Current number of equations to process: 151
% 1.16/1.49 Current number of ordered equations: 1
% 1.16/1.49 Current number of rules: 60
% 1.16/1.49 New rule produced :
% 1.16/1.49 [70]
% 1.16/1.49 composition(C,converse(composition(A,B))) <->
% 1.16/1.49 converse(composition(A,composition(B,converse(C))))
% 1.16/1.49 Current number of equations to process: 151
% 1.16/1.49 Current number of ordered equations: 0
% 1.16/1.49 Current number of rules: 61
% 1.16/1.49 New rule produced :
% 1.16/1.49 [71]
% 1.16/1.49 converse(composition(composition(converse(A),B),C)) <->
% 1.16/1.49 composition(converse(composition(B,C)),A)
% 1.16/1.49 Current number of equations to process: 150
% 1.16/1.49 Current number of ordered equations: 1
% 1.16/1.49 Current number of rules: 62
% 1.16/1.49 New rule produced :
% 1.16/1.49 [72]
% 1.16/1.49 composition(converse(composition(B,C)),A) <->
% 1.16/1.49 converse(composition(composition(converse(A),B),C))
% 1.16/1.49 Current number of equations to process: 150
% 1.16/1.49 Current number of ordered equations: 0
% 1.16/1.49 Current number of rules: 63
% 1.16/1.49 New rule produced :
% 1.16/1.49 [73]
% 1.16/1.49 composition(A,converse(composition(B,converse(C)))) <->
% 1.16/1.49 composition(composition(A,C),converse(B))
% 1.16/1.49 Current number of equations to process: 149
% 1.16/1.49 Current number of ordered equations: 1
% 1.16/1.49 Current number of rules: 64
% 1.16/1.49 New rule produced :
% 1.16/1.49 [74]
% 1.16/1.49 composition(composition(A,C),converse(B)) <->
% 1.16/1.49 composition(A,converse(composition(B,converse(C))))
% 1.16/1.49 Current number of equations to process: 149
% 1.16/1.49 Current number of ordered equations: 0
% 1.16/1.49 Current number of rules: 65
% 1.16/1.49 New rule produced :
% 1.16/1.49 [75]
% 1.16/1.49 converse(composition(C,converse(composition(A,B)))) <->
% 1.16/1.49 composition(A,composition(B,converse(C)))
% 1.16/1.49 Current number of equations to process: 147
% 1.16/1.49 Current number of ordered equations: 3
% 1.16/1.51 Current number of rules: 66
% 1.16/1.51 New rule produced :
% 1.16/1.51 [76]
% 1.16/1.51 composition(A,composition(B,converse(C))) <->
% 1.16/1.51 converse(composition(C,converse(composition(A,B))))
% 1.16/1.51 Current number of equations to process: 147
% 1.16/1.51 Current number of ordered equations: 2
% 1.16/1.51 Current number of rules: 67
% 1.16/1.51 New rule produced :
% 1.16/1.51 [77]
% 1.16/1.51 composition(B,composition(converse(A),C)) <->
% 1.16/1.51 composition(converse(composition(A,converse(B))),C)
% 1.16/1.51 Current number of equations to process: 147
% 1.16/1.51 Current number of ordered equations: 1
% 1.16/1.51 Current number of rules: 68
% 1.16/1.51 New rule produced :
% 1.16/1.51 [78]
% 1.16/1.51 composition(converse(composition(A,converse(B))),C) <->
% 1.16/1.51 composition(B,composition(converse(A),C))
% 1.16/1.51 Current number of equations to process: 147
% 1.16/1.51 Current number of ordered equations: 0
% 1.16/1.51 Current number of rules: 69
% 1.16/1.51 New rule produced :
% 1.16/1.51 [79]
% 1.16/1.51 converse(composition(converse(composition(B,C)),A)) <->
% 1.16/1.51 composition(composition(converse(A),B),C)
% 1.16/1.51 Current number of equations to process: 145
% 1.16/1.51 Current number of ordered equations: 3
% 1.16/1.51 Current number of rules: 70
% 1.16/1.51 New rule produced :
% 1.16/1.51 [80]
% 1.16/1.51 composition(A,converse(composition(converse(B),C))) <->
% 1.16/1.51 composition(composition(A,converse(C)),B)
% 1.16/1.51 Current number of equations to process: 145
% 1.16/1.51 Current number of ordered equations: 2
% 1.16/1.51 Current number of rules: 71
% 1.16/1.51 New rule produced :
% 1.16/1.51 [81]
% 1.16/1.51 composition(composition(converse(A),B),C) <->
% 1.16/1.51 converse(composition(converse(composition(B,C)),A))
% 1.16/1.51 Current number of equations to process: 145
% 1.16/1.51 Current number of ordered equations: 1
% 1.16/1.51 Current number of rules: 72
% 1.16/1.51 New rule produced :
% 1.16/1.51 [82]
% 1.16/1.51 composition(composition(A,converse(C)),B) <->
% 1.16/1.51 composition(A,converse(composition(converse(B),C)))
% 1.16/1.51 Current number of equations to process: 145
% 1.16/1.51 Current number of ordered equations: 0
% 1.16/1.51 Current number of rules: 73
% 1.16/1.51 New rule produced :
% 1.16/1.51 [83]
% 1.16/1.51 composition(converse(B),composition(A,C)) <->
% 1.16/1.51 composition(converse(composition(converse(A),B)),C)
% 1.16/1.51 Current number of equations to process: 144
% 1.16/1.51 Current number of ordered equations: 1
% 1.16/1.51 Current number of rules: 74
% 1.16/1.51 New rule produced :
% 1.16/1.51 [84]
% 1.16/1.51 composition(converse(composition(converse(A),B)),C) <->
% 1.16/1.51 composition(converse(B),composition(A,C))
% 1.16/1.51 Current number of equations to process: 144
% 1.16/1.51 Current number of ordered equations: 0
% 1.16/1.51 Current number of rules: 75
% 1.16/1.51 New rule produced :
% 1.16/1.51 [85] converse(top) join complement(converse(A) join B) join B -> top
% 1.16/1.51 Current number of equations to process: 145
% 1.16/1.51 Current number of ordered equations: 0
% 1.16/1.51 Current number of rules: 76
% 1.16/1.51 New rule produced :
% 1.16/1.51 [86]
% 1.16/1.51 converse(composition(C,composition(B,converse(A)))) <->
% 1.16/1.51 composition(composition(A,converse(B)),converse(C))
% 1.16/1.51 Current number of equations to process: 143
% 1.16/1.51 Current number of ordered equations: 3
% 1.16/1.51 Current number of rules: 77
% 1.16/1.51 New rule produced :
% 1.16/1.51 [87]
% 1.16/1.51 converse(composition(composition(C,converse(B)),A)) <->
% 1.16/1.51 composition(converse(A),composition(B,converse(C)))
% 1.16/1.51 Current number of equations to process: 143
% 1.16/1.51 Current number of ordered equations: 2
% 1.16/1.51 Current number of rules: 78
% 1.16/1.51 New rule produced :
% 1.16/1.51 [88]
% 1.16/1.51 composition(converse(A),composition(B,converse(C))) <->
% 1.16/1.51 converse(composition(composition(C,converse(B)),A))
% 1.16/1.51 Current number of equations to process: 143
% 1.16/1.51 Current number of ordered equations: 1
% 1.16/1.51 Current number of rules: 79
% 1.16/1.51 New rule produced :
% 1.16/1.51 [89]
% 1.16/1.51 composition(composition(A,converse(B)),converse(C)) <->
% 1.16/1.51 converse(composition(C,composition(B,converse(A))))
% 1.16/1.51 Current number of equations to process: 143
% 1.16/1.51 Current number of ordered equations: 0
% 1.16/1.51 Current number of rules: 80
% 1.16/1.51 New rule produced :
% 1.16/1.51 [90]
% 1.16/1.51 converse(composition(C,composition(converse(B),A))) <->
% 1.16/1.51 composition(composition(converse(A),B),converse(C))
% 1.16/1.51 Current number of equations to process: 140
% 1.16/1.51 Current number of ordered equations: 3
% 1.16/1.51 Current number of rules: 81
% 1.16/1.51 New rule produced :
% 1.16/1.51 [91]
% 1.16/1.51 converse(composition(composition(converse(C),B),A)) <->
% 1.16/1.51 composition(converse(A),composition(converse(B),C))
% 1.16/1.51 Current number of equations to process: 140
% 1.16/1.51 Current number of ordered equations: 2
% 1.16/1.51 Current number of rules: 82
% 1.16/1.51 New rule produced :
% 1.16/1.51 [92]
% 1.16/1.51 composition(converse(A),composition(converse(B),C)) <->
% 1.16/1.51 converse(composition(composition(converse(C),B),A))
% 1.16/1.51 Current number of equations to process: 140
% 1.16/1.51 Current number of ordered equations: 1
% 1.16/1.51 Current number of rules: 83
% 1.16/1.51 New rule produced :
% 1.16/1.51 [93]
% 1.16/1.51 composition(composition(converse(A),B),converse(C)) <->
% 1.16/1.59 converse(composition(C,composition(converse(B),A)))
% 1.16/1.59 Current number of equations to process: 140
% 1.16/1.59 Current number of ordered equations: 0
% 1.16/1.59 Current number of rules: 84
% 1.16/1.59 New rule produced :
% 1.16/1.59 [94]
% 1.16/1.59 composition(composition(A,converse(one)),converse(B)) ->
% 1.16/1.59 composition(A,converse(B))
% 1.16/1.59 Current number of equations to process: 147
% 1.16/1.59 Current number of ordered equations: 0
% 1.16/1.59 Current number of rules: 85
% 1.16/1.59 New rule produced :
% 1.16/1.59 [95]
% 1.16/1.59 converse(composition(composition(C,converse(B)),converse(A))) <->
% 1.16/1.59 composition(A,composition(B,converse(C)))
% 1.16/1.59 Current number of equations to process: 150
% 1.16/1.59 Current number of ordered equations: 1
% 1.16/1.59 Current number of rules: 86
% 1.16/1.59 New rule produced :
% 1.16/1.59 [96]
% 1.16/1.59 composition(A,composition(B,converse(C))) <->
% 1.16/1.59 converse(composition(composition(C,converse(B)),converse(A)))
% 1.16/1.59 Current number of equations to process: 150
% 1.16/1.59 Current number of ordered equations: 0
% 1.16/1.59 Current number of rules: 87
% 1.16/1.59 New rule produced :
% 1.16/1.59 [97]
% 1.16/1.59 converse(composition(composition(converse(C),B),converse(A))) <->
% 1.16/1.59 composition(A,composition(converse(B),C))
% 1.16/1.59 Current number of equations to process: 149
% 1.16/1.59 Current number of ordered equations: 1
% 1.16/1.59 Current number of rules: 88
% 1.16/1.59 New rule produced :
% 1.16/1.59 [98]
% 1.16/1.59 composition(A,composition(converse(B),C)) <->
% 1.16/1.59 converse(composition(composition(converse(C),B),converse(A)))
% 1.16/1.59 Current number of equations to process: 149
% 1.16/1.59 Current number of ordered equations: 0
% 1.16/1.59 Current number of rules: 89
% 1.16/1.59 New rule produced :
% 1.16/1.59 [99]
% 1.16/1.59 converse(composition(converse(C),composition(B,converse(A)))) <->
% 1.16/1.59 composition(composition(A,converse(B)),C)
% 1.16/1.59 Current number of equations to process: 148
% 1.16/1.59 Current number of ordered equations: 1
% 1.16/1.59 Current number of rules: 90
% 1.16/1.59 New rule produced :
% 1.16/1.59 [100]
% 1.16/1.59 composition(composition(A,converse(B)),C) <->
% 1.16/1.59 converse(composition(converse(C),composition(B,converse(A))))
% 1.16/1.59 Current number of equations to process: 148
% 1.16/1.59 Current number of ordered equations: 0
% 1.16/1.59 Current number of rules: 91
% 1.16/1.59 New rule produced :
% 1.16/1.59 [101]
% 1.16/1.59 converse(composition(converse(C),composition(converse(B),A))) <->
% 1.16/1.59 composition(composition(converse(A),B),C)
% 1.16/1.59 Current number of equations to process: 147
% 1.16/1.59 Current number of ordered equations: 1
% 1.16/1.59 Current number of rules: 92
% 1.16/1.59 New rule produced :
% 1.16/1.59 [102]
% 1.16/1.59 composition(composition(converse(A),B),C) <->
% 1.16/1.59 converse(composition(converse(C),composition(converse(B),A)))
% 1.16/1.59 Current number of equations to process: 147
% 1.16/1.59 Current number of ordered equations: 0
% 1.16/1.59 Current number of rules: 93
% 1.16/1.59 New rule produced :
% 1.16/1.59 [103]
% 1.16/1.59 converse(composition(composition(A,B),converse(C))) <->
% 1.16/1.59 composition(composition(C,converse(B)),converse(A))
% 1.16/1.59 Current number of equations to process: 162
% 1.16/1.59 Current number of ordered equations: 1
% 1.16/1.59 Current number of rules: 94
% 1.16/1.59 New rule produced :
% 1.16/1.59 [104]
% 1.16/1.59 composition(composition(C,converse(B)),converse(A)) <->
% 1.16/1.59 converse(composition(composition(A,B),converse(C)))
% 1.16/1.59 Current number of equations to process: 162
% 1.16/1.59 Current number of ordered equations: 0
% 1.16/1.59 Current number of rules: 95
% 1.16/1.59 New rule produced :
% 1.16/1.59 [105]
% 1.16/1.59 converse(composition(composition(A,converse(B)),converse(C))) <->
% 1.16/1.59 composition(composition(C,B),converse(A))
% 1.16/1.59 Current number of equations to process: 161
% 1.16/1.59 Current number of ordered equations: 1
% 1.16/1.59 Current number of rules: 96
% 1.16/1.59 New rule produced :
% 1.16/1.59 [106]
% 1.16/1.59 composition(composition(C,B),converse(A)) <->
% 1.16/1.59 converse(composition(composition(A,converse(B)),converse(C)))
% 1.16/1.59 Current number of equations to process: 161
% 1.16/1.59 Current number of ordered equations: 0
% 1.16/1.59 Current number of rules: 97
% 1.16/1.59 New rule produced :
% 1.16/1.59 [107]
% 1.16/1.59 converse(composition(A,converse(composition(B,C)))) <->
% 1.16/1.59 composition(B,converse(composition(A,converse(C))))
% 1.16/1.59 Current number of equations to process: 177
% 1.16/1.59 Current number of ordered equations: 1
% 1.16/1.59 Current number of rules: 98
% 1.16/1.59 New rule produced :
% 1.16/1.59 [108]
% 1.16/1.59 composition(B,converse(composition(A,converse(C)))) <->
% 1.16/1.59 converse(composition(A,converse(composition(B,C))))
% 1.16/1.59 Current number of equations to process: 177
% 1.16/1.59 Current number of ordered equations: 0
% 1.16/1.59 Current number of rules: 99
% 1.16/1.59 New rule produced :
% 1.16/1.59 [109]
% 1.16/1.59 converse(composition(A,converse(composition(B,converse(C))))) <->
% 1.16/1.59 composition(B,converse(composition(A,C)))
% 1.16/1.59 Current number of equations to process: 176
% 1.16/1.59 Current number of ordered equations: 1
% 1.16/1.59 Current number of rules: 100
% 1.16/1.59 New rule produced :
% 1.96/2.17 [110]
% 1.96/2.17 composition(B,converse(composition(A,C))) <->
% 1.96/2.17 converse(composition(A,converse(composition(B,converse(C)))))
% 1.96/2.17 Current number of equations to process: 176
% 1.96/2.17 Current number of ordered equations: 0
% 1.96/2.17 Current number of rules: 101
% 1.96/2.17 New rule produced :
% 1.96/2.17 [111]
% 1.96/2.17 converse(composition(converse(composition(A,B)),C)) <->
% 1.96/2.17 composition(converse(composition(converse(A),C)),B)
% 1.96/2.17 Current number of equations to process: 191
% 1.96/2.17 Current number of ordered equations: 1
% 1.96/2.17 Current number of rules: 102
% 1.96/2.17 New rule produced :
% 1.96/2.17 [112]
% 1.96/2.17 composition(converse(composition(converse(A),C)),B) <->
% 1.96/2.17 converse(composition(converse(composition(A,B)),C))
% 1.96/2.17 Current number of equations to process: 191
% 1.96/2.17 Current number of ordered equations: 0
% 1.96/2.17 Current number of rules: 103
% 1.96/2.17 New rule produced :
% 1.96/2.17 [113]
% 1.96/2.17 converse(composition(converse(composition(converse(A),B)),C)) <->
% 1.96/2.17 composition(converse(composition(A,C)),B)
% 1.96/2.17 Current number of equations to process: 190
% 1.96/2.17 Current number of ordered equations: 1
% 1.96/2.17 Current number of rules: 104
% 1.96/2.17 New rule produced :
% 1.96/2.17 [114]
% 1.96/2.17 composition(converse(composition(A,C)),B) <->
% 1.96/2.17 converse(composition(converse(composition(converse(A),B)),C))
% 1.96/2.17 Current number of equations to process: 190
% 1.96/2.17 Current number of ordered equations: 0
% 1.96/2.17 Current number of rules: 105
% 1.96/2.17 New rule produced :
% 1.96/2.17 [115]
% 1.96/2.17 converse(composition(converse(A),composition(B,C))) <->
% 1.96/2.17 composition(converse(C),composition(converse(B),A))
% 1.96/2.17 Current number of equations to process: 210
% 1.96/2.17 Current number of ordered equations: 1
% 1.96/2.17 Current number of rules: 106
% 1.96/2.17 New rule produced :
% 1.96/2.17 [116]
% 1.96/2.17 composition(converse(C),composition(converse(B),A)) <->
% 1.96/2.17 converse(composition(converse(A),composition(B,C)))
% 1.96/2.17 Current number of equations to process: 210
% 1.96/2.17 Current number of ordered equations: 0
% 1.96/2.17 Current number of rules: 107
% 1.96/2.17 New rule produced :
% 1.96/2.17 [117]
% 1.96/2.17 converse(composition(converse(A),composition(converse(B),C))) <->
% 1.96/2.17 composition(converse(C),composition(B,A))
% 1.96/2.17 Current number of equations to process: 211
% 1.96/2.17 Current number of ordered equations: 1
% 1.96/2.17 Current number of rules: 108
% 1.96/2.17 New rule produced :
% 1.96/2.17 [118]
% 1.96/2.17 composition(converse(C),composition(B,A)) <->
% 1.96/2.17 converse(composition(converse(A),composition(converse(B),C)))
% 1.96/2.17 Current number of equations to process: 211
% 1.96/2.17 Current number of ordered equations: 0
% 1.96/2.17 Current number of rules: 109
% 1.96/2.17 New rule produced :
% 1.96/2.17 [119]
% 1.96/2.17 composition(A,complement(converse(A))) join complement(one) ->
% 1.96/2.17 complement(one)
% 1.96/2.17 Current number of equations to process: 731
% 1.96/2.17 Current number of ordered equations: 0
% 1.96/2.17 Current number of rules: 110
% 1.96/2.17 New rule produced :
% 1.96/2.17 [120]
% 1.96/2.17 converse(composition(converse(zero),top)) join complement(one) ->
% 1.96/2.17 complement(one)
% 1.96/2.17 Current number of equations to process: 730
% 1.96/2.17 Current number of ordered equations: 0
% 1.96/2.17 Current number of rules: 111
% 1.96/2.17 New rule produced :
% 1.96/2.17 [121]
% 1.96/2.17 complement(one) join complement(composition(converse(A),complement(A))) ->
% 1.96/2.17 top
% 1.96/2.17 Current number of equations to process: 732
% 1.96/2.17 Current number of ordered equations: 0
% 1.96/2.17 Current number of rules: 112
% 1.96/2.17 New rule produced : [122] zero join one -> one
% 1.96/2.17 Current number of equations to process: 735
% 1.96/2.17 Current number of ordered equations: 0
% 1.96/2.17 Current number of rules: 113
% 1.96/2.17 New rule produced :
% 1.96/2.17 [123]
% 1.96/2.17 zero join composition(A,complement(composition(converse(A),top))) -> zero
% 1.96/2.17 Current number of equations to process: 755
% 1.96/2.17 Current number of ordered equations: 0
% 1.96/2.17 Current number of rules: 114
% 1.96/2.17 New rule produced :
% 1.96/2.17 [124]
% 1.96/2.17 zero join complement(composition(converse(A),complement(composition(A,top))))
% 1.96/2.17 -> top
% 1.96/2.17 Current number of equations to process: 754
% 1.96/2.17 Current number of ordered equations: 0
% 1.96/2.17 Current number of rules: 115
% 1.96/2.17 New rule produced :
% 1.96/2.17 [125] composition(top,A) join composition(B,A) -> composition(top,A)
% 1.96/2.17 Rule [63] composition(zero,A) join composition(top,A) -> composition(top,A)
% 1.96/2.17 collapsed.
% 1.96/2.17 Current number of equations to process: 763
% 1.96/2.17 Current number of ordered equations: 0
% 1.96/2.17 Current number of rules: 115
% 1.96/2.17 New rule produced : [126] complement(zero) -> top
% 1.96/2.17 Current number of equations to process: 765
% 1.96/2.17 Current number of ordered equations: 0
% 1.96/2.17 Current number of rules: 116
% 1.96/2.17 New rule produced :
% 1.96/2.17 [127] complement(complement(A join A) join A) -> zero join zero
% 1.96/2.17 Current number of equations to process: 784
% 1.96/2.17 Current number of ordered equations: 0
% 1.96/2.17 Current number of rules: 117
% 2.25/2.49 New rule produced :
% 2.25/2.49 [128] complement(zero join A) join complement(B) join A -> top
% 2.25/2.49 Current number of equations to process: 783
% 2.25/2.49 Current number of ordered equations: 0
% 2.25/2.49 Current number of rules: 118
% 2.25/2.49 New rule produced : [129] A join A <-> zero join A
% 2.25/2.49 Current number of equations to process: 788
% 2.25/2.49 Current number of ordered equations: 1
% 2.25/2.49 Current number of rules: 119
% 2.25/2.49 New rule produced : [130] zero join A <-> A join A
% 2.25/2.49 Current number of equations to process: 788
% 2.25/2.49 Current number of ordered equations: 0
% 2.25/2.49 Current number of rules: 120
% 2.25/2.49 Rule [127] complement(complement(A join A) join A) -> zero join zero is composed into
% 2.25/2.49 [127] complement(complement(A join A) join A) -> zero
% 2.25/2.49 New rule produced : [131] zero join zero -> zero
% 2.25/2.49 Current number of equations to process: 796
% 2.25/2.49 Current number of ordered equations: 0
% 2.25/2.49 Current number of rules: 121
% 2.25/2.49 New rule produced :
% 2.25/2.49 [132]
% 2.25/2.49 converse(zero) join converse(complement(A join A)) -> converse(complement(A))
% 2.25/2.49 Current number of equations to process: 794
% 2.25/2.49 Current number of ordered equations: 0
% 2.25/2.49 Current number of rules: 122
% 2.25/2.49 New rule produced :
% 2.25/2.49 [133]
% 2.25/2.49 converse(composition(converse(A),complement(A))) join complement(one) ->
% 2.25/2.49 complement(one)
% 2.25/2.49 Current number of equations to process: 793
% 2.25/2.49 Current number of ordered equations: 0
% 2.25/2.49 Current number of rules: 123
% 2.25/2.49 New rule produced :
% 2.25/2.49 [134]
% 2.25/2.49 composition(converse(A),complement(composition(A,complement(B)))) join B -> B
% 2.25/2.49 Current number of equations to process: 792
% 2.25/2.49 Current number of ordered equations: 0
% 2.25/2.49 Current number of rules: 124
% 2.25/2.49 New rule produced :
% 2.25/2.49 [135]
% 2.25/2.49 complement(B join B) join complement(A) <->
% 2.25/2.49 complement(A join A) join complement(B)
% 2.25/2.49 Current number of equations to process: 791
% 2.25/2.49 Current number of ordered equations: 0
% 2.25/2.49 Current number of rules: 125
% 2.25/2.49 New rule produced :
% 2.25/2.49 [136] complement(complement(A join A) join A join B) -> zero
% 2.25/2.49 Current number of equations to process: 790
% 2.25/2.49 Current number of ordered equations: 0
% 2.25/2.49 Current number of rules: 126
% 2.25/2.49 New rule produced :
% 2.25/2.49 [137]
% 2.25/2.49 complement(complement(A) join B) join complement(A join B) -> complement(B)
% 2.25/2.49 Rule
% 2.25/2.49 [13]
% 2.25/2.49 complement(complement(A) join complement(B)) join complement(complement(A) join B)
% 2.25/2.49 -> A collapsed.
% 2.25/2.49 Rule
% 2.25/2.49 [55] complement(zero join complement(A)) join complement(zero join A) -> top
% 2.25/2.49 collapsed.
% 2.25/2.49 Current number of equations to process: 803
% 2.25/2.49 Current number of ordered equations: 0
% 2.25/2.49 Current number of rules: 125
% 2.25/2.49 New rule produced :
% 2.25/2.49 [138] composition(A,B join C) -> composition(A,B) join composition(A,C)
% 2.25/2.49 Rule
% 2.25/2.49 [49]
% 2.25/2.49 converse(composition(C,A join B)) ->
% 2.25/2.49 converse(composition(C,A)) join converse(composition(C,B)) collapsed.
% 2.25/2.49 Rule
% 2.25/2.49 [50]
% 2.25/2.49 composition(converse(A),converse(B) join converse(C)) ->
% 2.25/2.49 converse(composition(B,A)) join converse(composition(C,A)) collapsed.
% 2.25/2.49 Current number of equations to process: 811
% 2.25/2.49 Current number of ordered equations: 0
% 2.25/2.49 Current number of rules: 124
% 2.25/2.49 New rule produced :
% 2.25/2.49 [139]
% 2.25/2.49 composition(A,complement(composition(converse(A),complement(B)))) join B -> B
% 2.25/2.49 Current number of equations to process: 854
% 2.25/2.49 Current number of ordered equations: 0
% 2.25/2.49 Current number of rules: 125
% 2.25/2.49 New rule produced :
% 2.25/2.49 [140] converse(top) join complement(converse(A) join converse(B)) -> top
% 2.25/2.49 Current number of equations to process: 863
% 2.25/2.49 Current number of ordered equations: 0
% 2.25/2.49 Current number of rules: 126
% 2.25/2.49 New rule produced :
% 2.25/2.49 [141]
% 2.25/2.49 composition(converse(B),complement(composition(B,top))) join complement(A) ->
% 2.25/2.49 complement(A)
% 2.25/2.49 Current number of equations to process: 875
% 2.25/2.49 Current number of ordered equations: 0
% 2.25/2.49 Current number of rules: 127
% 2.25/2.49 New rule produced :
% 2.25/2.49 [142]
% 2.25/2.49 converse(composition(converse(A),complement(A))) join converse(complement(one))
% 2.25/2.49 -> converse(complement(one))
% 2.25/2.49 Current number of equations to process: 878
% 2.25/2.49 Current number of ordered equations: 0
% 2.25/2.49 Current number of rules: 128
% 2.25/2.49 New rule produced :
% 2.25/2.49 [143]
% 2.25/2.49 complement(composition(A,complement(composition(converse(A),B)))) join
% 2.25/2.49 complement(B) -> top
% 2.25/2.49 Current number of equations to process: 875
% 2.25/2.49 Current number of ordered equations: 0
% 2.25/2.49 Current number of rules: 129
% 2.25/2.49 New rule produced :
% 2.25/2.49 [144]
% 2.25/2.49 complement(converse(complement(A join A)) join converse(A)) ->
% 2.25/2.49 zero join complement(converse(top))
% 2.25/2.49 Current number of equations to process: 873
% 2.25/2.49 Current number of ordered equations: 0
% 2.80/3.05 Current number of rules: 130
% 2.80/3.05 Rule [144]
% 2.80/3.05 complement(converse(complement(A join A)) join converse(A)) ->
% 2.80/3.05 zero join complement(converse(top)) is composed into [144]
% 2.80/3.05 complement(
% 2.80/3.05 converse(complement(
% 2.80/3.05 A join A)) join
% 2.80/3.05 converse(A)) ->
% 2.80/3.05 zero join complement(top)
% 2.80/3.05 Rule [57] converse(complement(converse(A))) join A -> converse(top) is composed into
% 2.80/3.05 [57] converse(complement(converse(A))) join A -> top
% 2.80/3.05 Rule [52]
% 2.80/3.05 converse(complement(A join B)) join converse(A) join converse(B) ->
% 2.80/3.05 converse(top) is composed into [52]
% 2.80/3.05 converse(complement(A join B)) join
% 2.80/3.05 converse(A) join converse(B) -> top
% 2.80/3.05 Rule [15] converse(complement(A)) join converse(A) -> converse(top) is composed into
% 2.80/3.05 [15] converse(complement(A)) join converse(A) -> top
% 2.80/3.05 New rule produced : [145] converse(top) -> top
% 2.80/3.05 Rule [56] converse(top) join complement(converse(A)) -> top collapsed.
% 2.80/3.05 Rule [60] converse(top) join converse(A) -> converse(top) collapsed.
% 2.80/3.05 Rule [85] converse(top) join complement(converse(A) join B) join B -> top
% 2.80/3.05 collapsed.
% 2.80/3.05 Rule [140] converse(top) join complement(converse(A) join converse(B)) -> top
% 2.80/3.05 collapsed.
% 2.80/3.05 Current number of equations to process: 874
% 2.80/3.05 Current number of ordered equations: 0
% 2.80/3.05 Current number of rules: 127
% 2.80/3.05 New rule produced : [146] complement(zero join A) join A join B -> top
% 2.80/3.05 Rule [128] complement(zero join A) join complement(B) join A -> top
% 2.80/3.05 collapsed.
% 2.80/3.05 Current number of equations to process: 878
% 2.80/3.05 Current number of ordered equations: 0
% 2.80/3.05 Current number of rules: 127
% 2.80/3.05 New rule produced : [147] zero join complement(zero join A) -> complement(A)
% 2.80/3.05 Rule [53] zero join complement(zero join complement(A)) -> A collapsed.
% 2.80/3.05 Current number of equations to process: 885
% 2.80/3.05 Current number of ordered equations: 0
% 2.80/3.05 Current number of rules: 127
% 2.80/3.05 New rule produced :
% 2.80/3.05 [148] composition(converse(B),complement(composition(B,top))) join A -> A
% 2.80/3.05 Rule
% 2.80/3.05 [41]
% 2.80/3.05 zero join composition(converse(A),complement(composition(A,top))) -> zero
% 2.80/3.05 collapsed.
% 2.80/3.05 Rule
% 2.80/3.05 [141]
% 2.80/3.05 composition(converse(B),complement(composition(B,top))) join complement(A) ->
% 2.80/3.05 complement(A) collapsed.
% 2.80/3.05 Current number of equations to process: 884
% 2.80/3.05 Current number of ordered equations: 0
% 2.80/3.05 Current number of rules: 126
% 2.80/3.05 New rule produced : [149] complement(zero join A) join A -> top
% 2.80/3.05 Rule [146] complement(zero join A) join A join B -> top collapsed.
% 2.80/3.05 Current number of equations to process: 884
% 2.80/3.05 Current number of ordered equations: 0
% 2.80/3.05 Current number of rules: 126
% 2.80/3.05 New rule produced :
% 2.80/3.05 [150]
% 2.80/3.05 converse(zero) join converse(complement(zero join complement(A))) ->
% 2.80/3.05 converse(A)
% 2.80/3.05 Current number of equations to process: 913
% 2.80/3.05 Current number of ordered equations: 0
% 2.80/3.05 Current number of rules: 127
% 2.80/3.05 New rule produced : [151] zero join A join A -> zero join A
% 2.80/3.05 Current number of equations to process: 972
% 2.80/3.05 Current number of ordered equations: 0
% 2.80/3.05 Current number of rules: 128
% 2.80/3.05 New rule produced :
% 2.80/3.05 [152]
% 2.80/3.05 complement(zero join complement(A)) join complement(B) ->
% 2.80/3.05 complement(B) join A
% 2.80/3.05 Current number of equations to process: 970
% 2.80/3.05 Current number of ordered equations: 0
% 2.80/3.05 Current number of rules: 129
% 2.80/3.05 New rule produced :
% 2.80/3.05 [153] converse(complement(converse(zero))) join complement(A) -> top
% 2.80/3.05 Current number of equations to process: 1056
% 2.80/3.05 Current number of ordered equations: 0
% 2.80/3.05 Current number of rules: 130
% 2.80/3.05 New rule produced : [154] converse(one) -> one
% 2.80/3.05 Rule [59] composition(converse(one),A) -> A collapsed.
% 2.80/3.05 Rule
% 2.80/3.05 [65]
% 2.80/3.05 composition(A,converse(composition(B,converse(one)))) ->
% 2.80/3.05 composition(A,converse(B)) collapsed.
% 2.80/3.05 Rule
% 2.80/3.05 [94]
% 2.80/3.05 composition(composition(A,converse(one)),converse(B)) ->
% 2.80/3.05 composition(A,converse(B)) collapsed.
% 2.80/3.05 Current number of equations to process: 1071
% 2.80/3.05 Current number of ordered equations: 0
% 2.80/3.05 Current number of rules: 128
% 2.80/3.05 Rule [67]
% 2.80/3.05 composition(converse(B),A) <->
% 2.80/3.05 converse(composition(converse(composition(one,A)),B)) is composed into
% 3.42/3.66 [67] composition(converse(B),A) <-> converse(composition(converse(A),B))
% 3.42/3.66 Rule [61]
% 3.42/3.66 converse(composition(converse(A),B)) <->
% 3.42/3.66 composition(converse(composition(one,B)),A) is composed into [61]
% 3.42/3.66 converse(
% 3.42/3.66 composition(
% 3.42/3.66 converse(A),B))
% 3.42/3.66 <->
% 3.42/3.66 composition(
% 3.42/3.66 converse(B),A)
% 3.42/3.66 New rule produced : [155] composition(one,A) -> A
% 3.42/3.66 Rule [20] composition(A,composition(one,B)) -> composition(A,B) collapsed.
% 3.42/3.66 Rule
% 3.42/3.66 [62]
% 3.42/3.66 composition(converse(composition(one,B)),A) <->
% 3.42/3.66 converse(composition(converse(A),B)) collapsed.
% 3.42/3.66 Rule
% 3.42/3.66 [66]
% 3.42/3.66 converse(composition(converse(composition(one,A)),B)) <->
% 3.42/3.66 composition(converse(B),A) collapsed.
% 3.42/3.66 Rule
% 3.42/3.66 [68]
% 3.42/3.66 composition(A,composition(composition(one,B),C)) ->
% 3.42/3.66 composition(A,composition(B,C)) collapsed.
% 3.42/3.66 Current number of equations to process: 1070
% 3.42/3.66 Current number of ordered equations: 0
% 3.42/3.66 Current number of rules: 125
% 3.42/3.66 New rule produced :
% 3.42/3.66 [156] composition(complement(one),A) join A -> composition(top,A)
% 3.42/3.66 Current number of equations to process: 1069
% 3.42/3.66 Current number of ordered equations: 0
% 3.42/3.66 Current number of rules: 126
% 3.42/3.66 New rule produced :
% 3.42/3.66 [157]
% 3.42/3.66 converse(complement(converse(composition(A,B)))) join composition(top,B) ->
% 3.42/3.66 top
% 3.42/3.66 Current number of equations to process: 1213
% 3.42/3.66 Current number of ordered equations: 0
% 3.42/3.66 Current number of rules: 127
% 3.42/3.66 New rule produced :
% 3.42/3.66 [158]
% 3.42/3.66 converse(complement(converse(complement(A join A)))) join complement(A) ->
% 3.42/3.66 top
% 3.42/3.66 Current number of equations to process: 1212
% 3.42/3.66 Current number of ordered equations: 0
% 3.42/3.66 Current number of rules: 128
% 3.42/3.66 New rule produced :
% 3.42/3.66 [159]
% 3.42/3.66 converse(composition(top,A)) join converse(complement(composition(B,A))) ->
% 3.42/3.66 top
% 3.42/3.66 Current number of equations to process: 1211
% 3.42/3.66 Current number of ordered equations: 0
% 3.42/3.66 Current number of rules: 129
% 3.42/3.66 New rule produced :
% 3.42/3.66 [160]
% 3.42/3.66 composition(top,converse(A)) join complement(converse(composition(A,B))) ->
% 3.42/3.66 top
% 3.42/3.66 Current number of equations to process: 1210
% 3.42/3.66 Current number of ordered equations: 0
% 3.42/3.66 Current number of rules: 130
% 3.42/3.66 New rule produced :
% 3.42/3.66 [161]
% 3.42/3.66 composition(top,A) join complement(composition(B,composition(C,A))) -> top
% 3.42/3.66 Current number of equations to process: 1209
% 3.42/3.66 Current number of ordered equations: 0
% 3.42/3.66 Current number of rules: 131
% 3.42/3.66 New rule produced :
% 3.42/3.66 [162]
% 3.42/3.66 converse(composition(A,top)) join complement(composition(B,converse(A))) ->
% 3.42/3.66 top
% 3.42/3.66 Current number of equations to process: 1208
% 3.42/3.66 Current number of ordered equations: 0
% 3.42/3.66 Current number of rules: 132
% 3.42/3.66 New rule produced :
% 3.42/3.66 [163]
% 3.42/3.66 composition(top,A) join complement(converse(composition(converse(A),B))) ->
% 3.42/3.66 top
% 3.42/3.66 Current number of equations to process: 1207
% 3.42/3.66 Current number of ordered equations: 0
% 3.42/3.66 Current number of rules: 133
% 3.42/3.66 New rule produced :
% 3.42/3.66 [164]
% 3.42/3.66 composition(B,converse(composition(converse(C),A))) <->
% 3.42/3.66 composition(converse(composition(A,converse(B))),C)
% 3.42/3.66 Current number of equations to process: 1206
% 3.42/3.66 Current number of ordered equations: 1
% 3.42/3.66 Current number of rules: 134
% 3.42/3.66 New rule produced :
% 3.42/3.66 [165]
% 3.42/3.66 composition(converse(composition(A,converse(B))),C) <->
% 3.42/3.66 composition(B,converse(composition(converse(C),A)))
% 3.42/3.66 Current number of equations to process: 1206
% 3.42/3.66 Current number of ordered equations: 0
% 3.42/3.66 Current number of rules: 135
% 3.42/3.66 New rule produced :
% 3.42/3.66 [166]
% 3.42/3.66 converse(composition(composition(A,converse(B)),C)) <->
% 3.42/3.66 composition(composition(converse(C),B),converse(A))
% 3.42/3.66 Current number of equations to process: 1422
% 3.42/3.66 Current number of ordered equations: 1
% 3.42/3.66 Current number of rules: 136
% 3.42/3.66 New rule produced :
% 3.42/3.66 [167]
% 3.42/3.66 composition(composition(converse(C),B),converse(A)) <->
% 3.42/3.66 converse(composition(composition(A,converse(B)),C))
% 3.42/3.66 Current number of equations to process: 1422
% 3.42/3.66 Current number of ordered equations: 0
% 3.42/3.66 Current number of rules: 137
% 3.42/3.66 New rule produced :
% 3.42/3.66 [168]
% 3.42/3.66 converse(composition(A,composition(converse(B),C))) <->
% 3.42/3.66 composition(converse(C),composition(B,converse(A)))
% 11.09/11.30 Current number of equations to process: 1537
% 11.09/11.30 Current number of ordered equations: 1
% 11.09/11.30 Current number of rules: 138
% 11.09/11.30 New rule produced :
% 11.09/11.30 [169]
% 11.09/11.30 composition(converse(C),composition(B,converse(A))) <->
% 11.09/11.30 converse(composition(A,composition(converse(B),C)))
% 11.09/11.30 Current number of equations to process: 1537
% 11.09/11.30 Current number of ordered equations: 0
% 11.09/11.30 Current number of rules: 139
% 11.09/11.30 New rule produced :
% 11.09/11.30 [170]
% 11.09/11.30 converse(composition(converse(C),composition(B,converse(A)))) <->
% 11.09/11.30 composition(A,composition(converse(B),C))
% 11.09/11.30 Current number of equations to process: 2241
% 11.09/11.30 Current number of ordered equations: 1
% 11.09/11.30 Current number of rules: 140
% 11.09/11.30 New rule produced :
% 11.09/11.30 [171]
% 11.09/11.30 composition(A,composition(converse(B),C)) <->
% 11.09/11.30 converse(composition(converse(C),composition(B,converse(A))))
% 11.09/11.30 Current number of equations to process: 2241
% 11.09/11.30 Current number of ordered equations: 0
% 11.09/11.30 Current number of rules: 141
% 11.09/11.30 New rule produced :
% 11.09/11.30 [172]
% 11.09/11.30 converse(composition(composition(converse(C),B),converse(A))) <->
% 11.09/11.30 composition(composition(A,converse(B)),C)
% 11.09/11.30 Current number of equations to process: 2240
% 11.09/11.30 Current number of ordered equations: 1
% 11.09/11.30 Current number of rules: 142
% 11.09/11.30 New rule produced :
% 11.09/11.30 [173]
% 11.09/11.30 composition(composition(A,converse(B)),C) <->
% 11.09/11.30 converse(composition(composition(converse(C),B),converse(A)))
% 11.09/11.30 Current number of equations to process: 2240
% 11.09/11.30 Current number of ordered equations: 0
% 11.09/11.30 Current number of rules: 143
% 11.09/11.30 New rule produced :
% 11.09/11.30 [174]
% 11.09/11.30 complement(one) join complement(composition(A,complement(converse(A)))) ->
% 11.09/11.30 top
% 11.09/11.30 Current number of equations to process: 1686
% 11.09/11.30 Current number of ordered equations: 0
% 11.09/11.30 Current number of rules: 144
% 11.09/11.30 New rule produced :
% 11.09/11.30 [175]
% 11.09/11.30 complement(one) join complement(converse(composition(converse(zero),top))) ->
% 11.09/11.30 top
% 11.09/11.30 Current number of equations to process: 1760
% 11.09/11.30 Current number of ordered equations: 0
% 11.09/11.30 Current number of rules: 145
% 11.09/11.30 New rule produced :
% 11.09/11.30 [176]
% 11.09/11.30 converse(complement(one)) join composition(converse(zero),top) ->
% 11.09/11.30 converse(complement(one))
% 11.09/11.30 Current number of equations to process: 1759
% 11.09/11.30 Current number of ordered equations: 0
% 11.09/11.30 Current number of rules: 146
% 11.09/11.30 New rule produced :
% 11.09/11.30 [177] composition(top,zero) join complement(one) -> complement(one)
% 11.09/11.30 Current number of equations to process: 1762
% 11.09/11.30 Current number of ordered equations: 0
% 11.09/11.30 Current number of rules: 147
% 11.09/11.30 New rule produced :
% 11.09/11.30 [178]
% 11.09/11.30 converse(complement(composition(converse(zero),top))) join complement(one) ->
% 11.09/11.30 top
% 11.09/11.30 Current number of equations to process: 1761
% 11.09/11.30 Current number of ordered equations: 0
% 11.09/11.30 Current number of rules: 148
% 11.09/11.30 New rule produced :
% 11.09/11.30 [179] complement(one) join complement(composition(top,zero)) -> top
% 11.09/11.30 Current number of equations to process: 1776
% 11.09/11.30 Current number of ordered equations: 0
% 11.09/11.30 Current number of rules: 149
% 11.09/11.30 New rule produced :
% 11.09/11.30 [180]
% 11.09/11.30 complement(one) join complement(converse(composition(converse(A),complement(A))))
% 11.09/11.30 -> top
% 11.09/11.30 Current number of equations to process: 1783
% 11.09/11.30 Current number of ordered equations: 0
% 11.09/11.30 Current number of rules: 150
% 11.09/11.30 New rule produced : [181] one join converse(zero) -> one
% 11.09/11.30 Current number of equations to process: 1842
% 11.09/11.30 Current number of ordered equations: 0
% 11.09/11.30 Current number of rules: 151
% 11.09/11.30 New rule produced : [182] composition(zero,A) join A -> A
% 11.09/11.30 Current number of equations to process: 1844
% 11.09/11.30 Current number of ordered equations: 0
% 11.09/11.30 Current number of rules: 152
% 11.09/11.30 New rule produced : [183] one join converse(complement(one)) -> top
% 11.09/11.30 Current number of equations to process: 1847
% 11.09/11.30 Current number of ordered equations: 0
% 11.09/11.30 Current number of rules: 153
% 11.09/11.30 New rule produced :
% 11.09/11.30 [184] one join converse(complement(converse(zero))) -> top
% 11.09/11.30 Current number of equations to process: 1856
% 11.09/11.30 Current number of ordered equations: 0
% 11.09/11.30 Current number of rules: 154
% 11.09/11.30 New rule produced :
% 11.09/11.30 [185] one join complement(A join A) -> one join complement(A)
% 11.09/11.30 Current number of equations to process: 1854
% 11.09/11.30 Current number of ordered equations: 0
% 11.09/11.30 Current number of rules: 155
% 11.09/11.30 New rule produced :
% 11.09/11.30 [186] one join complement(zero join complement(A)) -> one join A
% 11.09/11.30 Current number of equations to process: 1853
% 11.09/11.30 Current number of ordered equations: 0
% 11.09/11.30 Current number of rules: 156
% 11.09/11.30 New rule produced :
% 11.09/11.30 [187]
% 11.09/11.30 zero join composition(A,complement(converse(composition(top,A)))) -> zero
% 11.09/11.30 Current number of equations to process: 1872
% 11.49/11.72 Current number of ordered equations: 0
% 11.49/11.72 Current number of rules: 157
% 11.49/11.72 New rule produced :
% 11.49/11.72 [188]
% 11.49/11.72 zero join complement(composition(A,complement(composition(converse(A),top))))
% 11.49/11.72 -> top
% 11.49/11.72 Current number of equations to process: 1873
% 11.49/11.72 Current number of ordered equations: 0
% 11.49/11.72 Current number of rules: 158
% 11.49/11.72 Rule [144]
% 11.49/11.72 complement(converse(complement(A join A)) join converse(A)) ->
% 11.49/11.72 zero join complement(top) is composed into [144]
% 11.49/11.72 complement(converse(complement(
% 11.49/11.72 A join A)) join
% 11.49/11.72 converse(A)) ->
% 11.49/11.72 complement(top)
% 11.49/11.72 Rule [129] A join A <-> zero join A is composed into [129] A join A -> A
% 11.49/11.72 New rule produced : [189] zero join A -> A
% 11.49/11.72 Rule [21] zero join top -> top collapsed.
% 11.49/11.72 Rule [48] zero join complement(A join A) -> complement(A) collapsed.
% 11.49/11.72 Rule [122] zero join one -> one collapsed.
% 11.49/11.72 Rule
% 11.49/11.72 [123]
% 11.49/11.72 zero join composition(A,complement(composition(converse(A),top))) -> zero
% 11.49/11.72 collapsed.
% 11.49/11.72 Rule
% 11.49/11.72 [124]
% 11.49/11.72 zero join complement(composition(converse(A),complement(composition(A,top))))
% 11.49/11.72 -> top collapsed.
% 11.49/11.72 Rule [130] zero join A <-> A join A collapsed.
% 11.49/11.72 Rule [131] zero join zero -> zero collapsed.
% 11.49/11.72 Rule [147] zero join complement(zero join A) -> complement(A) collapsed.
% 11.49/11.72 Rule [149] complement(zero join A) join A -> top collapsed.
% 11.49/11.72 Rule
% 11.49/11.72 [150]
% 11.49/11.72 converse(zero) join converse(complement(zero join complement(A))) ->
% 11.49/11.72 converse(A) collapsed.
% 11.49/11.72 Rule [151] zero join A join A -> zero join A collapsed.
% 11.49/11.72 Rule
% 11.49/11.72 [152]
% 11.49/11.72 complement(zero join complement(A)) join complement(B) ->
% 11.49/11.72 complement(B) join A collapsed.
% 11.49/11.72 Rule [186] one join complement(zero join complement(A)) -> one join A
% 11.49/11.72 collapsed.
% 11.49/11.72 Rule
% 11.49/11.72 [187]
% 11.49/11.72 zero join composition(A,complement(converse(composition(top,A)))) -> zero
% 11.49/11.72 collapsed.
% 11.49/11.72 Rule
% 11.49/11.72 [188]
% 11.49/11.72 zero join complement(composition(A,complement(composition(converse(A),top))))
% 11.49/11.72 -> top collapsed.
% 11.49/11.72 Current number of equations to process: 1885
% 11.49/11.72 Current number of ordered equations: 0
% 11.49/11.72 Current number of rules: 144
% 11.49/11.72 New rule produced :
% 11.49/11.72 [190] composition(A,complement(composition(converse(A),top))) -> zero
% 11.49/11.72 Current number of equations to process: 1885
% 11.49/11.72 Current number of ordered equations: 0
% 11.49/11.72 Current number of rules: 145
% 11.49/11.72 New rule produced :
% 11.49/11.72 [191] composition(A,complement(converse(composition(top,A)))) -> zero
% 11.49/11.72 Current number of equations to process: 1884
% 11.49/11.72 Current number of ordered equations: 0
% 11.49/11.72 Current number of rules: 146
% 11.49/11.72 New rule produced : [192] converse(zero) join converse(A) -> converse(A)
% 11.49/11.72 Rule
% 11.49/11.72 [132]
% 11.49/11.72 converse(zero) join converse(complement(A join A)) -> converse(complement(A))
% 11.49/11.72 collapsed.
% 11.49/11.72 Current number of equations to process: 1883
% 11.49/11.72 Current number of ordered equations: 0
% 11.49/11.72 Current number of rules: 146
% 11.49/11.72 New rule produced :
% 11.49/11.72 [193]
% 11.49/11.72 complement(composition(converse(A),complement(composition(A,top)))) -> top
% 11.49/11.72 Current number of equations to process: 1882
% 11.49/11.72 Current number of ordered equations: 0
% 11.49/11.72 Current number of rules: 147
% 11.49/11.72 New rule produced :
% 11.49/11.72 [194] composition(converse(zero),top) join complement(one) -> complement(one)
% 11.49/11.72 Current number of equations to process: 1978
% 11.49/11.72 Current number of ordered equations: 0
% 11.49/11.72 Current number of rules: 148
% 11.49/11.72 New rule produced :
% 11.49/11.72 [195] complement(one) join complement(composition(converse(zero),top)) -> top
% 11.49/11.72 Current number of equations to process: 1977
% 11.49/11.72 Current number of ordered equations: 0
% 11.49/11.72 Current number of rules: 149
% 11.49/11.72 New rule produced :
% 11.49/11.72 [196] converse(composition(top,zero)) join complement(one) -> complement(one)
% 11.49/11.72 Current number of equations to process: 1998
% 11.49/11.72 Current number of ordered equations: 0
% 11.49/11.72 Current number of rules: 150
% 11.49/11.72 New rule produced :
% 11.49/11.72 [197]
% 11.49/11.72 converse(composition(A,complement(converse(A)))) join complement(one) ->
% 11.49/11.72 complement(one)
% 11.49/11.72 Current number of equations to process: 2000
% 11.49/11.72 Current number of ordered equations: 0
% 11.49/11.72 Current number of rules: 151
% 11.49/11.72 New rule produced :
% 11.49/11.72 [198]
% 11.49/11.72 composition(top,A) join composition(B,composition(C,A)) -> composition(top,A)
% 11.49/11.72 Current number of equations to process: 2005
% 11.49/11.72 Current number of ordered equations: 0
% 11.49/11.72 Current number of rules: 152
% 13.02/13.21 New rule produced :
% 13.02/13.21 [199]
% 13.02/13.21 converse(composition(converse(A),B)) join composition(top,A) ->
% 13.02/13.21 composition(top,A)
% 13.02/13.21 Current number of equations to process: 2004
% 13.02/13.21 Current number of ordered equations: 0
% 13.02/13.21 Current number of rules: 153
% 13.02/13.21 New rule produced :
% 13.02/13.21 [200]
% 13.02/13.21 converse(complement(one)) join composition(converse(A),complement(A)) ->
% 13.02/13.21 converse(complement(one))
% 13.02/13.21 Current number of equations to process: 2002
% 13.02/13.21 Current number of ordered equations: 0
% 13.02/13.21 Current number of rules: 154
% 13.02/13.21 New rule produced :
% 13.02/13.21 [201]
% 13.02/13.21 converse(complement(composition(converse(A),complement(A)))) join complement(one)
% 13.02/13.21 -> top
% 13.02/13.21 Current number of equations to process: 2001
% 13.02/13.21 Current number of ordered equations: 0
% 13.02/13.21 Current number of rules: 155
% 13.02/13.21 New rule produced :
% 13.02/13.21 [202]
% 13.02/13.21 converse(composition(top,A)) join converse(composition(B,A)) ->
% 13.02/13.21 converse(composition(top,A))
% 13.02/13.21 Current number of equations to process: 2110
% 13.02/13.21 Current number of ordered equations: 0
% 13.02/13.21 Current number of rules: 156
% 13.02/13.21 New rule produced :
% 13.02/13.21 [203]
% 13.02/13.21 converse(composition(A,B)) join composition(top,converse(A)) ->
% 13.02/13.21 composition(top,converse(A))
% 13.02/13.21 Current number of equations to process: 2109
% 13.02/13.21 Current number of ordered equations: 0
% 13.02/13.21 Current number of rules: 157
% 13.02/13.21 New rule produced :
% 13.02/13.21 [204]
% 13.02/13.21 converse(composition(A,top)) join composition(B,converse(A)) <->
% 13.02/13.21 composition(top,converse(A))
% 13.02/13.21 Current number of equations to process: 2108
% 13.02/13.21 Current number of ordered equations: 1
% 13.02/13.21 Current number of rules: 158
% 13.02/13.21 Rule [204]
% 13.02/13.21 converse(composition(A,top)) join composition(B,converse(A)) <->
% 13.02/13.21 composition(top,converse(A)) is composed into [204]
% 13.02/13.21 converse(composition(A,top)) join
% 13.02/13.21 composition(B,converse(A))
% 13.02/13.21 <->
% 13.02/13.21 converse(composition(A,top)) join
% 13.02/13.21 composition(join_complement_meet_composition_one_converse_top_zero__2,
% 13.02/13.21 converse(A))
% 13.02/13.21 New rule produced :
% 13.02/13.21 [205]
% 13.02/13.21 composition(top,converse(A)) <->
% 13.02/13.21 converse(composition(A,top)) join composition(B,converse(A))
% 13.02/13.21 Rule
% 13.02/13.21 [160]
% 13.02/13.21 composition(top,converse(A)) join complement(converse(composition(A,B))) ->
% 13.02/13.21 top collapsed.
% 13.02/13.21 Rule
% 13.02/13.21 [203]
% 13.02/13.21 converse(composition(A,B)) join composition(top,converse(A)) ->
% 13.02/13.21 composition(top,converse(A)) collapsed.
% 13.02/13.21 Current number of equations to process: 2110
% 13.02/13.21 Current number of ordered equations: 0
% 13.02/13.21 Current number of rules: 157
% 13.02/13.21 New rule produced :
% 13.02/13.21 [206] complement(complement(A join B) join complement(B)) -> B
% 13.02/13.21 Current number of equations to process: 2253
% 13.02/13.21 Current number of ordered equations: 0
% 13.02/13.21 Current number of rules: 158
% 13.02/13.21 New rule produced :
% 13.02/13.21 [207] complement(complement(complement(A) join B) join A) -> complement(A)
% 13.02/13.21 Current number of equations to process: 2252
% 13.02/13.21 Current number of ordered equations: 0
% 13.02/13.21 Current number of rules: 159
% 13.02/13.21 New rule produced :
% 13.02/13.21 [208]
% 13.02/13.21 complement(converse(A) join complement(converse(complement(A)))) ->
% 13.02/13.21 complement(converse(A))
% 13.02/13.21 Current number of equations to process: 2289
% 13.02/13.21 Current number of ordered equations: 0
% 13.02/13.21 Current number of rules: 160
% 13.02/13.21 New rule produced :
% 13.02/13.21 [209]
% 13.02/13.21 complement(converse(complement(A)) join complement(converse(A))) ->
% 13.02/13.21 complement(converse(complement(A)))
% 13.02/13.21 Current number of equations to process: 2288
% 13.02/13.21 Current number of ordered equations: 0
% 13.02/13.21 Current number of rules: 161
% 13.02/13.21 New rule produced :
% 13.02/13.21 [210]
% 13.02/13.21 complement(complement(complement(A join B) join B) join A) -> complement(A)
% 13.02/13.21 Current number of equations to process: 2327
% 13.02/13.21 Current number of ordered equations: 0
% 13.02/13.21 Current number of rules: 162
% 13.02/13.21 New rule produced : [211] complement(A join B) join B -> complement(A) join B
% 13.02/13.21 Rule
% 13.02/13.21 [54]
% 13.02/13.21 complement(complement(A) join B) join B <->
% 13.02/13.21 complement(complement(B) join A) join A collapsed.
% 13.02/13.21 Rule [127] complement(complement(A join A) join A) -> zero collapsed.
% 13.02/13.21 Rule [136] complement(complement(A join A) join A join B) -> zero collapsed.
% 13.02/13.21 Rule
% 13.02/13.21 [210]
% 13.02/13.21 complement(complement(complement(A join B) join B) join A) -> complement(A)
% 13.02/13.21 collapsed.
% 13.02/13.21 Current number of equations to process: 2438
% 13.02/13.21 Current number of ordered equations: 0
% 13.02/13.21 Current number of rules: 159
% 14.49/14.71 New rule produced :
% 14.49/14.71 [212]
% 14.49/14.71 complement(complement(converse(complement(converse(A)))) join A) ->
% 14.49/14.71 complement(A)
% 14.49/14.71 Current number of equations to process: 2458
% 14.49/14.71 Current number of ordered equations: 0
% 14.49/14.71 Current number of rules: 160
% 14.49/14.71 New rule produced :
% 14.49/14.71 [213]
% 14.49/14.71 complement(converse(complement(converse(A))) join complement(A)) ->
% 14.49/14.71 complement(converse(complement(converse(A))))
% 14.49/14.71 Current number of equations to process: 2468
% 14.49/14.71 Current number of ordered equations: 1
% 14.49/14.71 Current number of rules: 161
% 14.49/14.71 New rule produced :
% 14.49/14.71 [214]
% 14.49/14.71 converse(complement(converse(complement(A join B)))) join complement(B) ->
% 14.49/14.71 top
% 14.49/14.71 Rule
% 14.49/14.71 [158]
% 14.49/14.71 converse(complement(converse(complement(A join A)))) join complement(A) ->
% 14.49/14.71 top collapsed.
% 14.49/14.71 Current number of equations to process: 2468
% 14.49/14.71 Current number of ordered equations: 0
% 14.49/14.71 Current number of rules: 161
% 14.49/14.71 New rule produced :
% 14.49/14.71 [215] complement(A join B) join complement(A) -> complement(A)
% 14.49/14.71 Rule [206] complement(complement(A join B) join complement(B)) -> B
% 14.49/14.71 collapsed.
% 14.49/14.71 Current number of equations to process: 2519
% 14.49/14.71 Current number of ordered equations: 0
% 14.49/14.71 Current number of rules: 161
% 14.49/14.71 New rule produced :
% 14.49/14.71 [216]
% 14.49/14.71 composition(A,top) join composition(A,complement(B)) -> composition(A,top)
% 14.49/14.71 Current number of equations to process: 2602
% 14.49/14.71 Current number of ordered equations: 0
% 14.49/14.71 Current number of rules: 162
% 14.49/14.71 New rule produced :
% 14.49/14.71 [217]
% 14.49/14.71 composition(A,complement(B)) join composition(A,B) -> composition(A,top)
% 14.49/14.71 Current number of equations to process: 2601
% 14.49/14.71 Current number of ordered equations: 0
% 14.49/14.71 Current number of rules: 163
% 14.49/14.71 New rule produced :
% 14.49/14.71 [218] composition(A,top) join composition(A,B) -> composition(A,top)
% 14.49/14.71 Rule
% 14.49/14.71 [216]
% 14.49/14.71 composition(A,top) join composition(A,complement(B)) -> composition(A,top)
% 14.49/14.71 collapsed.
% 14.49/14.71 Current number of equations to process: 2642
% 14.49/14.71 Current number of ordered equations: 0
% 14.49/14.71 Current number of rules: 163
% 14.49/14.71 New rule produced :
% 14.49/14.71 [219]
% 14.49/14.71 complement(converse(complement(converse(complement(A)))) join A) ->
% 14.49/14.71 complement(converse(complement(converse(complement(A)))))
% 14.49/14.71 Current number of equations to process: 2778
% 14.49/14.71 Current number of ordered equations: 1
% 14.49/14.71 Current number of rules: 164
% 14.49/14.71 New rule produced :
% 14.49/14.71 [220]
% 14.49/14.71 complement(complement(converse(complement(converse(A))) join B) join A) ->
% 14.49/14.71 complement(A)
% 14.49/14.71 Current number of equations to process: 2778
% 14.49/14.71 Current number of ordered equations: 0
% 14.49/14.71 Current number of rules: 165
% 14.49/14.71 New rule produced :
% 14.49/14.71 [221]
% 14.49/14.71 one join complement(composition(A,complement(converse(A)))) ->
% 14.49/14.71 complement(composition(A,complement(converse(A))))
% 14.49/14.71 Current number of equations to process: 2777
% 14.49/14.71 Current number of ordered equations: 0
% 14.49/14.71 Current number of rules: 166
% 14.49/14.71 New rule produced :
% 14.49/14.71 [222]
% 14.49/14.71 one join complement(converse(composition(converse(zero),top))) ->
% 14.49/14.71 complement(converse(composition(converse(zero),top)))
% 14.49/14.71 Current number of equations to process: 2776
% 14.49/14.71 Current number of ordered equations: 0
% 14.49/14.71 Current number of rules: 167
% 14.49/14.71 New rule produced :
% 14.49/14.71 [223]
% 14.49/14.71 complement(composition(top,A)) join complement(composition(B,A)) ->
% 14.49/14.71 complement(composition(B,A))
% 14.49/14.71 Current number of equations to process: 2775
% 14.49/14.71 Current number of ordered equations: 0
% 14.49/14.71 Current number of rules: 168
% 14.49/14.71 New rule produced :
% 14.49/14.71 [224]
% 14.49/14.71 converse(composition(top,zero)) join converse(complement(one)) ->
% 14.49/14.71 converse(complement(one))
% 14.49/14.71 Current number of equations to process: 2928
% 14.49/14.71 Current number of ordered equations: 0
% 14.49/14.71 Current number of rules: 169
% 14.49/14.71 New rule produced :
% 14.49/14.71 [225] converse(complement(converse(A) join converse(B))) join A join B -> top
% 14.49/14.71 Current number of equations to process: 2935
% 14.49/14.71 Current number of ordered equations: 0
% 14.49/14.71 Current number of rules: 170
% 14.49/14.71 New rule produced :
% 14.49/14.71 [226]
% 14.49/14.71 composition(converse(complement(converse(B))),A) join composition(B,A) ->
% 14.49/14.71 composition(top,A)
% 14.49/14.71 Current number of equations to process: 2934
% 14.49/14.71 Current number of ordered equations: 0
% 14.49/14.71 Current number of rules: 171
% 14.49/14.71 New rule produced :
% 14.49/14.71 [227]
% 14.49/14.71 converse(complement(composition(A,converse(B)))) join composition(B,converse(A))
% 14.49/14.71 -> top
% 14.49/14.71 Current number of equations to process: 2933
% 14.49/14.71 Current number of ordered equations: 0
% 14.49/14.71 Current number of rules: 172
% 14.49/14.71 New rule produced :
% 14.49/14.71 [228]
% 14.49/14.71 converse(complement(composition(converse(A),B))) join composition(converse(B),A)
% 14.49/14.71 -> top
% 14.49/14.71 Current number of equations to process: 2932
% 15.21/15.41 Current number of ordered equations: 0
% 15.21/15.41 Current number of rules: 173
% 15.21/15.41 New rule produced :
% 15.21/15.41 [229]
% 15.21/15.41 converse(complement(converse(composition(converse(A),complement(A))))) join
% 15.21/15.41 complement(one) -> top
% 15.21/15.41 Current number of equations to process: 2931
% 15.21/15.41 Current number of ordered equations: 0
% 15.21/15.41 Current number of rules: 174
% 15.21/15.41 New rule produced :
% 15.21/15.41 [230]
% 15.21/15.41 converse(composition(A,top)) join composition(join_complement_meet_composition_one_converse_top_zero__2,
% 15.21/15.41 converse(A)) join complement(converse(
% 15.21/15.41 composition(A,
% 15.21/15.41 converse(B))))
% 15.21/15.41 -> top
% 15.21/15.41 Current number of equations to process: 2928
% 15.21/15.41 Current number of ordered equations: 0
% 15.21/15.41 Current number of rules: 175
% 15.21/15.41 New rule produced :
% 15.21/15.41 [231]
% 15.21/15.41 converse(composition(A,complement(converse(A)))) join converse(complement(one))
% 15.21/15.41 -> converse(complement(one))
% 15.21/15.41 Current number of equations to process: 2926
% 15.21/15.41 Current number of ordered equations: 0
% 15.21/15.41 Current number of rules: 176
% 15.21/15.41 New rule produced :
% 15.21/15.41 [232]
% 15.21/15.41 converse(complement(converse(composition(A,complement(converse(A)))))) join
% 15.21/15.41 complement(one) -> top
% 15.21/15.41 Current number of equations to process: 2925
% 15.21/15.41 Current number of ordered equations: 0
% 15.21/15.41 Current number of rules: 177
% 15.21/15.41 New rule produced :
% 15.21/15.41 [233]
% 15.21/15.41 converse(complement(one)) join converse(complement(composition(converse(A),
% 15.21/15.41 complement(A)))) -> top
% 15.21/15.41 Current number of equations to process: 2922
% 15.21/15.41 Current number of ordered equations: 0
% 15.21/15.41 Current number of rules: 178
% 15.21/15.41 New rule produced :
% 15.21/15.41 [234]
% 15.21/15.41 complement(composition(converse(A),complement(composition(A,complement(B))))) join B
% 15.21/15.41 -> top
% 15.21/15.41 Current number of equations to process: 2917
% 15.21/15.41 Current number of ordered equations: 0
% 15.21/15.41 Current number of rules: 179
% 15.21/15.41 New rule produced :
% 15.21/15.41 [235]
% 15.21/15.41 complement(converse(A) join complement(converse(complement(A)) join B)) ->
% 15.21/15.41 complement(converse(A))
% 15.21/15.41 Current number of equations to process: 2915
% 15.21/15.41 Current number of ordered equations: 0
% 15.21/15.41 Current number of rules: 180
% 15.21/15.41 New rule produced :
% 15.21/15.41 [236]
% 15.21/15.41 complement(one join complement(composition(converse(A),complement(A)))) ->
% 15.21/15.41 composition(converse(A),complement(A))
% 15.21/15.41 Current number of equations to process: 2911
% 15.21/15.41 Current number of ordered equations: 0
% 15.21/15.41 Current number of rules: 181
% 15.21/15.41 New rule produced :
% 15.21/15.41 [237]
% 15.21/15.41 composition(A,converse(complement(B))) join composition(A,converse(B)) ->
% 15.21/15.41 composition(A,top)
% 15.21/15.41 Current number of equations to process: 2910
% 15.21/15.41 Current number of ordered equations: 0
% 15.21/15.41 Current number of rules: 182
% 15.21/15.41 New rule produced :
% 15.21/15.41 [238]
% 15.21/15.41 composition(A,converse(complement(converse(B)))) join composition(A,B) ->
% 15.21/15.41 composition(A,top)
% 15.21/15.41 Current number of equations to process: 2909
% 15.21/15.41 Current number of ordered equations: 0
% 15.21/15.41 Current number of rules: 183
% 15.21/15.41 New rule produced :
% 15.21/15.41 [239]
% 15.21/15.41 complement(composition(A,complement(composition(converse(A),complement(B))))) join B
% 15.21/15.41 -> top
% 15.21/15.41 Current number of equations to process: 2908
% 15.21/15.41 Current number of ordered equations: 0
% 15.21/15.41 Current number of rules: 184
% 15.21/15.41 New rule produced :
% 15.21/15.41 [240]
% 15.21/15.41 composition(A,complement(converse(composition(converse(complement(B)),A)))) join B
% 15.21/15.41 -> B
% 15.21/15.41 Current number of equations to process: 2907
% 15.21/15.41 Current number of ordered equations: 0
% 15.21/15.41 Current number of rules: 185
% 15.21/15.41 New rule produced :
% 15.21/15.41 [241]
% 15.21/15.41 converse(complement(one)) join complement(converse(composition(converse(A),
% 15.21/15.41 complement(A)))) -> top
% 15.21/15.41 Current number of equations to process: 2906
% 15.21/15.41 Current number of ordered equations: 0
% 15.21/15.41 Current number of rules: 186
% 15.21/15.41 New rule produced :
% 15.21/15.41 [242]
% 15.21/15.41 converse(composition(converse(zero),top)) join converse(complement(one)) ->
% 15.21/15.41 converse(complement(one))
% 15.21/15.41 Current number of equations to process: 2947
% 15.21/15.41 Current number of ordered equations: 0
% 15.21/15.41 Current number of rules: 187
% 15.21/15.41 New rule produced :
% 15.21/15.41 [243]
% 15.21/15.41 complement(composition(converse(A),complement(composition(A,B)))) join
% 15.21/15.41 complement(B) -> top
% 15.21/15.41 Current number of equations to process: 3003
% 15.21/15.41 Current number of ordered equations: 0
% 15.21/15.41 Current number of rules: 188
% 15.21/15.41 New rule produced :
% 15.21/15.41 [244] composition(converse(A),top) -> converse(composition(top,A))
% 15.21/15.41 Rule
% 15.21/15.41 [120]
% 15.21/15.41 converse(composition(converse(zero),top)) join complement(one) ->
% 15.28/15.50 complement(one) collapsed.
% 15.28/15.50 Rule
% 15.28/15.50 [175]
% 15.28/15.50 complement(one) join complement(converse(composition(converse(zero),top))) ->
% 15.28/15.50 top collapsed.
% 15.28/15.50 Rule
% 15.28/15.50 [176]
% 15.28/15.50 converse(complement(one)) join composition(converse(zero),top) ->
% 15.28/15.50 converse(complement(one)) collapsed.
% 15.28/15.50 Rule
% 15.28/15.50 [178]
% 15.28/15.50 converse(complement(composition(converse(zero),top))) join complement(one) ->
% 15.28/15.50 top collapsed.
% 15.28/15.50 Rule [190] composition(A,complement(composition(converse(A),top))) -> zero
% 15.28/15.50 collapsed.
% 15.28/15.50 Rule
% 15.28/15.50 [194] composition(converse(zero),top) join complement(one) -> complement(one)
% 15.28/15.50 collapsed.
% 15.28/15.50 Rule
% 15.28/15.50 [195] complement(one) join complement(composition(converse(zero),top)) -> top
% 15.28/15.50 collapsed.
% 15.28/15.50 Rule
% 15.28/15.50 [222]
% 15.28/15.50 one join complement(converse(composition(converse(zero),top))) ->
% 15.28/15.50 complement(converse(composition(converse(zero),top))) collapsed.
% 15.28/15.50 Rule
% 15.28/15.50 [242]
% 15.28/15.50 converse(composition(converse(zero),top)) join converse(complement(one)) ->
% 15.28/15.50 converse(complement(one)) collapsed.
% 15.28/15.50 Current number of equations to process: 3121
% 15.28/15.50 Current number of ordered equations: 0
% 15.28/15.50 Current number of rules: 180
% 15.28/15.50 New rule produced :
% 15.28/15.50 [245] complement(one) join complement(converse(composition(top,zero))) -> top
% 15.28/15.50 Current number of equations to process: 3160
% 15.28/15.50 Current number of ordered equations: 0
% 15.28/15.50 Current number of rules: 181
% 15.28/15.50 New rule produced :
% 15.28/15.50 [246]
% 15.28/15.50 composition(A,converse(composition(B,top))) <->
% 15.28/15.50 composition(composition(A,top),converse(B))
% 15.28/15.50 Current number of equations to process: 3158
% 15.28/15.50 Current number of ordered equations: 2
% 15.28/15.50 Current number of rules: 182
% 15.28/15.50 New rule produced :
% 15.28/15.50 [247]
% 15.28/15.50 composition(composition(A,converse(B)),top) ->
% 15.28/15.50 composition(A,converse(composition(top,B)))
% 15.28/15.50 Current number of equations to process: 3158
% 15.28/15.50 Current number of ordered equations: 1
% 15.28/15.50 Current number of rules: 183
% 15.28/15.50 New rule produced :
% 15.28/15.50 [248]
% 15.28/15.50 composition(composition(A,top),converse(B)) <->
% 15.28/15.50 composition(A,converse(composition(B,top)))
% 15.28/15.50 Current number of equations to process: 3158
% 15.28/15.50 Current number of ordered equations: 0
% 15.28/15.50 Current number of rules: 184
% 15.28/15.50 New rule produced :
% 15.28/15.50 [249]
% 15.28/15.50 composition(converse(A),composition(top,B)) <->
% 15.28/15.50 composition(converse(composition(top,A)),B)
% 15.28/15.50 Current number of equations to process: 3156
% 15.28/15.50 Current number of ordered equations: 2
% 15.28/15.50 Current number of rules: 185
% 15.28/15.50 New rule produced :
% 15.28/15.50 [250]
% 15.28/15.50 composition(top,composition(converse(A),B)) ->
% 15.28/15.50 composition(converse(composition(A,top)),B)
% 15.28/15.50 Current number of equations to process: 3156
% 15.28/15.50 Current number of ordered equations: 1
% 15.28/15.50 Current number of rules: 186
% 15.28/15.50 New rule produced :
% 15.28/15.50 [251]
% 15.28/15.50 composition(converse(composition(top,A)),B) <->
% 15.28/15.50 composition(converse(A),composition(top,B))
% 15.28/15.50 Current number of equations to process: 3156
% 15.28/15.50 Current number of ordered equations: 0
% 15.28/15.50 Current number of rules: 187
% 15.28/15.50 New rule produced :
% 15.28/15.50 [252]
% 15.28/15.50 converse(complement(converse(composition(top,zero)))) join complement(one) ->
% 15.28/15.50 top
% 15.28/15.50 Current number of equations to process: 3150
% 15.28/15.50 Current number of ordered equations: 0
% 15.28/15.50 Current number of rules: 188
% 15.28/15.50 New rule produced :
% 15.28/15.50 [253] composition(top,complement(composition(top,complement(A)))) join A -> A
% 15.28/15.50 Current number of equations to process: 3149
% 15.28/15.50 Current number of ordered equations: 0
% 15.28/15.50 Current number of rules: 189
% 15.28/15.50 New rule produced :
% 15.28/15.50 [254]
% 15.28/15.50 composition(top,complement(composition(top,A))) join complement(A) ->
% 15.28/15.50 complement(A)
% 15.28/15.50 Current number of equations to process: 3148
% 15.28/15.50 Current number of ordered equations: 0
% 15.28/15.50 Current number of rules: 190
% 15.28/15.50 New rule produced :
% 15.28/15.50 [255]
% 15.28/15.50 converse(composition(composition(B,top),converse(A))) <->
% 15.28/15.50 composition(composition(A,top),converse(B))
% 15.28/15.50 Current number of equations to process: 3143
% 15.28/15.50 Current number of ordered equations: 1
% 15.28/15.50 Current number of rules: 191
% 15.28/15.50 New rule produced :
% 15.28/15.50 [256]
% 15.28/15.50 composition(composition(A,top),converse(B)) <->
% 15.28/15.50 converse(composition(composition(B,top),converse(A)))
% 15.28/15.50 Current number of equations to process: 3143
% 15.28/15.50 Current number of ordered equations: 0
% 15.28/15.50 Current number of rules: 192
% 15.28/15.50 New rule produced :
% 15.28/15.50 [257]
% 15.28/15.50 converse(composition(B,converse(composition(A,top)))) <->
% 15.28/15.50 composition(A,converse(composition(B,top)))
% 15.28/15.50 Current number of equations to process: 3141
% 15.28/15.50 Current number of ordered equations: 1
% 15.28/15.50 Current number of rules: 193
% 15.28/15.50 New rule produced :
% 15.28/15.50 [258]
% 15.28/15.50 composition(A,converse(composition(B,top))) <->
% 15.64/15.84 converse(composition(B,converse(composition(A,top))))
% 15.64/15.84 Current number of equations to process: 3141
% 15.64/15.84 Current number of ordered equations: 0
% 15.64/15.84 Current number of rules: 194
% 15.64/15.84 New rule produced :
% 15.64/15.84 [259]
% 15.64/15.84 converse(composition(converse(composition(top,B)),A)) <->
% 15.64/15.84 composition(converse(composition(top,A)),B)
% 15.64/15.84 Current number of equations to process: 3139
% 15.64/15.84 Current number of ordered equations: 1
% 15.64/15.84 Current number of rules: 195
% 15.64/15.84 New rule produced :
% 15.64/15.84 [260]
% 15.64/15.84 composition(converse(composition(top,A)),B) <->
% 15.64/15.84 converse(composition(converse(composition(top,B)),A))
% 15.64/15.84 Current number of equations to process: 3139
% 15.64/15.84 Current number of ordered equations: 0
% 15.64/15.84 Current number of rules: 196
% 15.64/15.84 New rule produced :
% 15.64/15.84 [261]
% 15.64/15.84 converse(composition(converse(B),composition(top,A))) <->
% 15.64/15.84 composition(converse(A),composition(top,B))
% 15.64/15.84 Current number of equations to process: 3136
% 15.64/15.84 Current number of ordered equations: 1
% 15.64/15.84 Current number of rules: 197
% 15.64/15.84 New rule produced :
% 15.64/15.84 [262]
% 15.64/15.84 composition(converse(A),composition(top,B)) <->
% 15.64/15.84 converse(composition(converse(B),composition(top,A)))
% 15.64/15.84 Current number of equations to process: 3136
% 15.64/15.84 Current number of ordered equations: 0
% 15.64/15.84 Current number of rules: 198
% 15.64/15.84 New rule produced :
% 15.64/15.84 [263]
% 15.64/15.84 converse(complement(one)) join composition(top,zero) ->
% 15.64/15.84 converse(complement(one))
% 15.64/15.84 Current number of equations to process: 3134
% 15.64/15.84 Current number of ordered equations: 0
% 15.64/15.84 Current number of rules: 199
% 15.64/15.84 New rule produced :
% 15.64/15.84 [264]
% 15.64/15.84 converse(composition(join_complement_meet_composition_one_converse_top_zero__2,
% 15.64/15.84 converse(A))) join composition(A,top) -> composition(A,top)
% 15.64/15.84 Current number of equations to process: 3133
% 15.64/15.84 Current number of ordered equations: 0
% 15.64/15.84 Current number of rules: 200
% 15.64/15.84 New rule produced :
% 15.64/15.84 [265]
% 15.64/15.84 complement(composition(top,complement(composition(top,A)))) join complement(A)
% 15.64/15.84 -> top
% 15.64/15.84 Current number of equations to process: 3131
% 15.64/15.84 Current number of ordered equations: 0
% 15.64/15.84 Current number of rules: 201
% 15.64/15.84 New rule produced :
% 15.64/15.84 [266]
% 15.64/15.84 converse(complement(converse(composition(converse(A),complement(composition(A,top))))))
% 15.64/15.84 -> top
% 15.64/15.84 Current number of equations to process: 3130
% 15.64/15.84 Current number of ordered equations: 0
% 15.64/15.84 Current number of rules: 202
% 15.64/15.84 New rule produced :
% 15.64/15.84 [267] composition(top,complement(composition(top,top))) join A -> A
% 15.64/15.84 Current number of equations to process: 3143
% 15.64/15.84 Current number of ordered equations: 0
% 15.64/15.84 Current number of rules: 203
% 15.64/15.84 New rule produced :
% 15.64/15.84 [268] converse(complement(A)) join complement(converse(zero)) -> top
% 15.64/15.84 Current number of equations to process: 3146
% 15.64/15.84 Current number of ordered equations: 0
% 15.64/15.84 Current number of rules: 204
% 15.64/15.84 New rule produced : [269] converse(complement(converse(zero))) join A -> top
% 15.64/15.84 Rule [153] converse(complement(converse(zero))) join complement(A) -> top
% 15.64/15.84 collapsed.
% 15.64/15.84 Rule [184] one join converse(complement(converse(zero))) -> top collapsed.
% 15.64/15.84 Current number of equations to process: 3150
% 15.64/15.84 Current number of ordered equations: 0
% 15.64/15.84 Current number of rules: 203
% 15.64/15.84 New rule produced :
% 15.64/15.84 [270] converse(complement(one)) join complement(one) -> complement(one)
% 15.64/15.84 Current number of equations to process: 3153
% 15.64/15.84 Current number of ordered equations: 0
% 15.64/15.84 Current number of rules: 204
% 15.64/15.84 New rule produced : [271] composition(top,A) join complement(A) -> top
% 15.64/15.84 Current number of equations to process: 3154
% 15.64/15.84 Current number of ordered equations: 0
% 15.64/15.84 Current number of rules: 205
% 15.64/15.84 New rule produced : [272] composition(top,A) join A -> composition(top,A)
% 15.64/15.84 Current number of equations to process: 3155
% 15.64/15.84 Current number of ordered equations: 0
% 15.64/15.84 Current number of rules: 206
% 15.64/15.84 New rule produced :
% 15.64/15.84 [273] converse(complement(converse(A))) join composition(top,A) -> top
% 15.64/15.84 Current number of equations to process: 3154
% 15.64/15.84 Current number of ordered equations: 0
% 15.64/15.84 Current number of rules: 207
% 15.64/15.84 New rule produced : [274] composition(top,top) join complement(A) -> top
% 15.64/15.84 Current number of equations to process: 3159
% 15.64/15.84 Current number of ordered equations: 0
% 15.64/15.84 Current number of rules: 208
% 15.64/15.84 New rule produced : [275] composition(top,complement(A)) join A -> top
% 15.64/15.84 Current number of equations to process: 3161
% 15.64/15.84 Current number of ordered equations: 0
% 15.64/15.84 Current number of rules: 209
% 15.64/15.84 New rule produced :
% 15.64/15.84 [276] converse(composition(complement(A),top)) join converse(A) -> top
% 15.64/15.84 Current number of equations to process: 3179
% 16.02/16.21 Current number of ordered equations: 0
% 16.02/16.21 Current number of rules: 210
% 16.02/16.21 New rule produced : [277] composition(top,top) -> top
% 16.02/16.21 Rule [267] composition(top,complement(composition(top,top))) join A -> A
% 16.02/16.21 collapsed.
% 16.02/16.21 Rule [274] composition(top,top) join complement(A) -> top collapsed.
% 16.02/16.21 Current number of equations to process: 3188
% 16.02/16.21 Current number of ordered equations: 0
% 16.02/16.21 Current number of rules: 209
% 16.02/16.21 New rule produced : [278] composition(top,zero) join A -> A
% 16.02/16.21 Rule [177] composition(top,zero) join complement(one) -> complement(one)
% 16.02/16.21 collapsed.
% 16.02/16.21 Rule
% 16.02/16.21 [263]
% 16.02/16.21 converse(complement(one)) join composition(top,zero) ->
% 16.02/16.21 converse(complement(one)) collapsed.
% 16.02/16.21 Current number of equations to process: 3186
% 16.02/16.21 Current number of ordered equations: 0
% 16.02/16.21 Current number of rules: 208
% 16.02/16.21 New rule produced :
% 16.02/16.21 [279]
% 16.02/16.21 composition(top,composition(complement(one),A)) join A -> composition(top,A)
% 16.02/16.21 Current number of equations to process: 3261
% 16.02/16.21 Current number of ordered equations: 0
% 16.02/16.21 Current number of rules: 209
% 16.02/16.21 New rule produced :
% 16.02/16.21 [280]
% 16.02/16.21 converse(composition(complement(one),A)) join converse(A) ->
% 16.02/16.21 converse(composition(top,A))
% 16.02/16.21 Current number of equations to process: 3260
% 16.02/16.21 Current number of ordered equations: 0
% 16.02/16.21 Current number of rules: 210
% 16.02/16.21 New rule produced :
% 16.02/16.21 [281]
% 16.02/16.21 composition(converse(A),complement(composition(A,top))) <->
% 16.02/16.21 composition(converse(B),complement(composition(B,top)))
% 16.02/16.21 Current number of equations to process: 3265
% 16.02/16.21 Current number of ordered equations: 0
% 16.02/16.21 Current number of rules: 211
% 16.02/16.21 New rule produced :
% 16.02/16.21 [282] one join converse(complement(one join A)) join converse(A) -> top
% 16.02/16.21 Current number of equations to process: 3263
% 16.02/16.21 Current number of ordered equations: 0
% 16.02/16.21 Current number of rules: 212
% 16.02/16.21 New rule produced :
% 16.02/16.21 [283]
% 16.02/16.21 composition(top,composition(top,A)) join complement(composition(B,A)) -> top
% 16.02/16.21 Current number of equations to process: 3260
% 16.02/16.21 Current number of ordered equations: 1
% 16.02/16.21 Current number of rules: 213
% 16.02/16.21 New rule produced :
% 16.02/16.21 [284]
% 16.02/16.21 composition(top,complement(composition(A,B))) join composition(top,B) -> top
% 16.02/16.21 Current number of equations to process: 3260
% 16.02/16.21 Current number of ordered equations: 0
% 16.02/16.21 Current number of rules: 214
% 16.02/16.21 New rule produced :
% 16.02/16.21 [285]
% 16.02/16.21 converse(complement(composition(converse(A),B))) join composition(top,A) ->
% 16.02/16.21 top
% 16.02/16.21 Current number of equations to process: 3258
% 16.02/16.21 Current number of ordered equations: 0
% 16.02/16.21 Current number of rules: 215
% 16.02/16.21 New rule produced :
% 16.02/16.21 [286]
% 16.02/16.21 one join complement(composition(top,zero)) ->
% 16.02/16.21 complement(composition(top,zero))
% 16.02/16.21 Current number of equations to process: 3257
% 16.02/16.21 Current number of ordered equations: 0
% 16.02/16.21 Current number of rules: 216
% 16.02/16.21 Rule [204]
% 16.02/16.21 converse(composition(A,top)) join composition(B,converse(A)) <->
% 16.02/16.21 converse(composition(A,top)) join composition(join_complement_meet_composition_one_converse_top_zero__2,
% 16.02/16.21 converse(A)) is composed into
% 16.02/16.21 [204]
% 16.02/16.21 converse(composition(A,top)) join composition(B,converse(A)) ->
% 16.02/16.21 converse(composition(A,top))
% 16.02/16.21 New rule produced :
% 16.02/16.21 [287]
% 16.02/16.21 converse(composition(A,top)) join composition(join_complement_meet_composition_one_converse_top_zero__2,
% 16.02/16.21 converse(A)) ->
% 16.02/16.21 converse(composition(A,top))
% 16.02/16.21 Rule
% 16.02/16.21 [230]
% 16.02/16.21 converse(composition(A,top)) join composition(join_complement_meet_composition_one_converse_top_zero__2,
% 16.02/16.21 converse(A)) join complement(converse(
% 16.02/16.21 composition(A,
% 16.02/16.21 converse(B))))
% 16.02/16.21 -> top collapsed.
% 16.02/16.21 Current number of equations to process: 3257
% 16.02/16.21 Current number of ordered equations: 0
% 16.02/16.21 Current number of rules: 216
% 16.02/16.21 New rule produced :
% 16.02/16.21 [288]
% 16.02/16.21 composition(complement(converse(A)),complement(composition(A,top))) ->
% 16.02/16.21 composition(top,complement(composition(A,top)))
% 16.02/16.21 Current number of equations to process: 3256
% 16.02/16.21 Current number of ordered equations: 0
% 16.02/16.21 Current number of rules: 217
% 16.02/16.21 New rule produced :
% 16.02/16.21 [289]
% 16.02/16.21 converse(composition(top,A)) join complement(converse(composition(B,A))) ->
% 16.02/16.21 top
% 16.02/16.21 Current number of equations to process: 3297
% 16.02/16.21 Current number of ordered equations: 0
% 16.02/16.21 Current number of rules: 218
% 16.02/16.21 New rule produced :
% 22.37/22.55 [290]
% 22.37/22.55 converse(composition(A,top)) join converse(complement(composition(A,B))) ->
% 22.37/22.55 top
% 22.37/22.55 Current number of equations to process: 3296
% 22.37/22.55 Current number of ordered equations: 0
% 22.37/22.55 Current number of rules: 219
% 22.37/22.55 New rule produced :
% 22.37/22.55 [291]
% 22.37/22.55 converse(complement(converse(composition(A,B)))) join composition(A,top) ->
% 22.37/22.55 top
% 22.37/22.55 Current number of equations to process: 3401
% 22.37/22.55 Current number of ordered equations: 0
% 22.37/22.55 Current number of rules: 220
% 22.37/22.55 New rule produced :
% 22.37/22.55 [292]
% 22.37/22.55 converse(complement(composition(A,converse(B)))) join composition(B,top) ->
% 22.37/22.55 top
% 22.37/22.55 Current number of equations to process: 3400
% 22.37/22.55 Current number of ordered equations: 0
% 22.37/22.55 Current number of rules: 221
% 22.37/22.55 New rule produced :
% 22.37/22.55 [293] converse(composition(top,A)) join converse(complement(A)) -> top
% 22.37/22.55 Current number of equations to process: 3460
% 22.37/22.55 Current number of ordered equations: 0
% 22.37/22.55 Current number of rules: 222
% 22.37/22.55 New rule produced :
% 22.37/22.55 [294]
% 22.37/22.55 converse(composition(A,top)) join complement(converse(composition(A,B))) ->
% 22.37/22.55 top
% 22.37/22.55 Current number of equations to process: 3622
% 22.37/22.55 Current number of ordered equations: 0
% 22.37/22.55 Current number of rules: 223
% 22.37/22.55 New rule produced :
% 22.37/22.55 [295] converse(composition(A,top)) join complement(converse(A)) -> top
% 22.37/22.55 Current number of equations to process: 3690
% 22.37/22.55 Current number of ordered equations: 0
% 22.37/22.55 Current number of rules: 224
% 22.37/22.55 New rule produced :
% 22.37/22.55 [296]
% 22.37/22.55 converse(complement(one)) join converse(complement(composition(top,zero))) ->
% 22.37/22.55 top
% 22.37/22.55 Current number of equations to process: 2619
% 22.37/22.55 Current number of ordered equations: 0
% 22.37/22.55 Current number of rules: 225
% 22.37/22.55 New rule produced :
% 22.37/22.55 [297]
% 22.37/22.55 composition(top,complement(composition(top,zero))) join complement(one) ->
% 22.37/22.55 top
% 22.37/22.55 Current number of equations to process: 2617
% 22.37/22.55 Current number of ordered equations: 1
% 22.37/22.55 Current number of rules: 226
% 22.37/22.55 New rule produced :
% 22.37/22.55 [298]
% 22.37/22.55 composition(top,complement(one)) join complement(composition(top,zero)) ->
% 22.37/22.55 top
% 22.37/22.55 Current number of equations to process: 2617
% 22.37/22.55 Current number of ordered equations: 0
% 22.37/22.55 Current number of rules: 227
% 22.37/22.55 New rule produced :
% 22.37/22.55 [299]
% 22.37/22.55 complement(one) join complement(converse(composition(A,complement(converse(A)))))
% 22.37/22.55 -> top
% 22.37/22.55 Current number of equations to process: 2634
% 22.37/22.55 Current number of ordered equations: 0
% 22.37/22.55 Current number of rules: 228
% 22.37/22.55 New rule produced :
% 22.37/22.55 [300] complement(one) join complement(converse(complement(one))) -> top
% 22.37/22.55 Current number of equations to process: 2690
% 22.37/22.55 Current number of ordered equations: 0
% 22.37/22.55 Current number of rules: 229
% 22.37/22.55 New rule produced : [301] one join complement(converse(zero)) -> top
% 22.37/22.55 Current number of equations to process: 2702
% 22.37/22.55 Current number of ordered equations: 0
% 22.37/22.55 Current number of rules: 230
% 22.37/22.55 New rule produced : [302] composition(converse(zero),A) join A -> A
% 22.37/22.55 Current number of equations to process: 2703
% 22.37/22.55 Current number of ordered equations: 0
% 22.37/22.55 Current number of rules: 231
% 22.37/22.55 New rule produced : [303] composition(A,converse(zero)) join A -> A
% 22.37/22.55 Current number of equations to process: 2721
% 22.37/22.55 Current number of ordered equations: 0
% 22.37/22.55 Current number of rules: 232
% 22.37/22.55 New rule produced :
% 22.37/22.55 [304]
% 22.37/22.55 complement(one) join complement(converse(zero)) -> complement(converse(zero))
% 22.37/22.55 Current number of equations to process: 2724
% 22.37/22.55 Current number of ordered equations: 0
% 22.37/22.55 Current number of rules: 233
% 22.37/22.55 New rule produced :
% 22.37/22.55 [305] converse(complement(converse(composition(zero,A)))) join A -> top
% 22.37/22.55 Current number of equations to process: 2727
% 22.37/22.55 Current number of ordered equations: 0
% 22.37/22.55 Current number of rules: 234
% 22.37/22.55 New rule produced : [306] complement(composition(zero,A)) join A -> top
% 22.37/22.55 Current number of equations to process: 2728
% 22.37/22.55 Current number of ordered equations: 0
% 22.37/22.55 Current number of rules: 235
% 22.37/22.55 New rule produced :
% 22.37/22.55 [307] converse(composition(zero,A)) join converse(A) -> converse(A)
% 22.37/22.55 Current number of equations to process: 2738
% 22.37/22.55 Current number of ordered equations: 0
% 22.37/22.55 Current number of rules: 236
% 22.37/22.55 New rule produced : [308] one join composition(zero,converse(zero)) -> one
% 22.37/22.55 Current number of equations to process: 2780
% 22.37/22.55 Current number of ordered equations: 0
% 22.37/22.55 Current number of rules: 237
% 22.37/22.55 New rule produced : [309] composition(zero,composition(zero,A)) join A -> A
% 22.37/22.55 Current number of equations to process: 2779
% 22.37/22.55 Current number of ordered equations: 0
% 22.37/22.55 Current number of rules: 238
% 22.82/23.03 New rule produced : [310] complement(converse(complement(one))) -> one
% 22.82/23.03 Rule [300] complement(one) join complement(converse(complement(one))) -> top
% 22.82/23.03 collapsed.
% 22.82/23.03 Current number of equations to process: 2796
% 22.82/23.03 Current number of ordered equations: 0
% 22.82/23.03 Current number of rules: 238
% 22.82/23.03 New rule produced :
% 22.82/23.03 [311] one join converse(composition(complement(one),top)) -> top
% 22.82/23.03 Current number of equations to process: 2798
% 22.82/23.03 Current number of ordered equations: 0
% 22.82/23.03 Current number of rules: 239
% 22.82/23.03 New rule produced :
% 22.82/23.03 [312] composition(converse(complement(one)),A) join A -> composition(top,A)
% 22.82/23.03 Current number of equations to process: 2797
% 22.82/23.03 Current number of ordered equations: 0
% 22.82/23.03 Current number of rules: 240
% 22.82/23.03 New rule produced :
% 22.82/23.03 [313]
% 22.82/23.03 complement(converse(complement(one)) join A) ->
% 22.82/23.03 complement(complement(one) join A)
% 22.82/23.03 Current number of equations to process: 2796
% 22.82/23.03 Current number of ordered equations: 0
% 22.82/23.03 Current number of rules: 241
% 22.82/23.03 New rule produced :
% 22.82/23.03 [314] composition(A,converse(complement(one))) join A -> composition(A,top)
% 22.82/23.03 Current number of equations to process: 2795
% 22.82/23.03 Current number of ordered equations: 0
% 22.82/23.03 Current number of rules: 242
% 22.82/23.03 New rule produced :
% 22.82/23.03 [315] converse(composition(A,converse(zero))) join converse(A) -> converse(A)
% 22.82/23.03 Current number of equations to process: 2794
% 22.82/23.03 Current number of ordered equations: 0
% 22.82/23.03 Current number of rules: 243
% 22.82/23.03 New rule produced :
% 22.82/23.03 [316]
% 22.82/23.03 complement(composition(zero,A)) join complement(A) ->
% 22.82/23.03 complement(composition(zero,A))
% 22.82/23.03 Current number of equations to process: 2793
% 22.82/23.03 Current number of ordered equations: 0
% 22.82/23.03 Current number of rules: 244
% 22.82/23.03 New rule produced :
% 22.82/23.03 [317]
% 22.82/23.03 complement(one join A) join complement(converse(zero)) ->
% 22.82/23.03 complement(converse(zero))
% 22.82/23.03 Current number of equations to process: 2792
% 22.82/23.03 Current number of ordered equations: 0
% 22.82/23.03 Current number of rules: 245
% 22.82/23.03 New rule produced :
% 22.82/23.03 [318]
% 22.82/23.03 complement(composition(zero,complement(A))) join A ->
% 22.82/23.03 complement(composition(zero,complement(A)))
% 22.82/23.03 Current number of equations to process: 2791
% 22.82/23.03 Current number of ordered equations: 0
% 22.82/23.03 Current number of rules: 246
% 22.82/23.03 New rule produced : [319] converse(complement(converse(zero))) -> top
% 22.82/23.04 Rule [269] converse(complement(converse(zero))) join A -> top collapsed.
% 22.82/23.04 Current number of equations to process: 2790
% 22.82/23.04 Current number of ordered equations: 0
% 22.82/23.04 Current number of rules: 246
% 22.82/23.04 New rule produced :
% 22.82/23.04 [320] composition(converse(A),complement(composition(A,top))) -> zero
% 22.82/23.04 Rule
% 22.82/23.04 [148] composition(converse(B),complement(composition(B,top))) join A -> A
% 22.82/23.04 collapsed.
% 22.82/23.04 Rule
% 22.82/23.04 [193]
% 22.82/23.04 complement(composition(converse(A),complement(composition(A,top)))) -> top
% 22.82/23.04 collapsed.
% 22.82/23.04 Rule
% 22.82/23.04 [266]
% 22.82/23.04 converse(complement(converse(composition(converse(A),complement(composition(A,top))))))
% 22.82/23.04 -> top collapsed.
% 22.82/23.04 Rule
% 22.82/23.04 [281]
% 22.82/23.04 composition(converse(A),complement(composition(A,top))) <->
% 22.82/23.04 composition(converse(B),complement(composition(B,top))) collapsed.
% 22.82/23.04 Current number of equations to process: 2789
% 22.82/23.04 Current number of ordered equations: 0
% 22.82/23.04 Current number of rules: 243
% 22.82/23.04 New rule produced :
% 22.82/23.04 [321] composition(complement(one),zero) -> composition(top,zero)
% 22.82/23.04 Current number of equations to process: 2792
% 22.82/23.04 Current number of ordered equations: 0
% 22.82/23.04 Current number of rules: 244
% 22.82/23.04 New rule produced : [322] composition(zero,zero) -> zero
% 22.82/23.04 Current number of equations to process: 2792
% 22.82/23.04 Current number of ordered equations: 0
% 22.82/23.04 Current number of rules: 245
% 22.82/23.04 New rule produced :
% 22.82/23.04 [323] composition(zero,B) join composition(A,B) -> composition(A,B)
% 22.82/23.04 Current number of equations to process: 2790
% 22.82/23.04 Current number of ordered equations: 0
% 22.82/23.04 Current number of rules: 246
% 22.82/23.04 New rule produced :
% 22.82/23.04 [324] composition(A,zero) join composition(A,B) -> composition(A,B)
% 22.82/23.04 Current number of equations to process: 2789
% 22.82/23.04 Current number of ordered equations: 0
% 22.82/23.04 Current number of rules: 247
% 22.82/23.04 New rule produced : [325] converse(A) join complement(converse(zero)) -> top
% 22.82/23.04 Rule [268] converse(complement(A)) join complement(converse(zero)) -> top
% 22.82/23.04 collapsed.
% 22.82/23.04 Current number of equations to process: 2829
% 22.82/23.04 Current number of ordered equations: 0
% 22.82/23.04 Current number of rules: 247
% 22.82/23.04 New rule produced :
% 22.82/23.04 [326]
% 22.82/23.04 converse(composition(converse(B),A)) <->
% 22.82/23.04 converse(zero) join composition(converse(A),B)
% 22.82/23.04 Current number of equations to process: 2827
% 23.99/24.18 Current number of ordered equations: 1
% 23.99/24.18 Current number of rules: 248
% 23.99/24.18 New rule produced :
% 23.99/24.18 [327]
% 23.99/24.18 converse(zero) join composition(converse(A),B) <->
% 23.99/24.18 converse(composition(converse(B),A))
% 23.99/24.18 Current number of equations to process: 2827
% 23.99/24.18 Current number of ordered equations: 0
% 23.99/24.18 Current number of rules: 249
% 23.99/24.18 Rule [326]
% 23.99/24.18 converse(composition(converse(B),A)) <->
% 23.99/24.18 converse(zero) join composition(converse(A),B) is composed into
% 23.99/24.18 [326] converse(composition(converse(B),A)) <-> composition(converse(A),B)
% 23.99/24.18 New rule produced : [328] converse(zero) join A -> A
% 23.99/24.18 Rule [181] one join converse(zero) -> one collapsed.
% 23.99/24.18 Rule [192] converse(zero) join converse(A) -> converse(A) collapsed.
% 23.99/24.18 Rule
% 23.99/24.18 [327]
% 23.99/24.18 converse(zero) join composition(converse(A),B) <->
% 23.99/24.18 converse(composition(converse(B),A)) collapsed.
% 23.99/24.18 Current number of equations to process: 2828
% 23.99/24.18 Current number of ordered equations: 0
% 23.99/24.18 Current number of rules: 247
% 23.99/24.18 New rule produced :
% 23.99/24.18 [329] converse(complement(composition(top,zero))) join complement(one) -> top
% 23.99/24.18 Current number of equations to process: 2831
% 23.99/24.18 Current number of ordered equations: 0
% 23.99/24.18 Current number of rules: 248
% 23.99/24.18 New rule produced :
% 23.99/24.18 [330]
% 23.99/24.18 one join complement(converse(composition(top,zero))) ->
% 23.99/24.18 complement(converse(composition(top,zero)))
% 23.99/24.18 Current number of equations to process: 2853
% 23.99/24.18 Current number of ordered equations: 0
% 23.99/24.18 Current number of rules: 249
% 23.99/24.18 New rule produced :
% 23.99/24.18 [331] converse(complement(composition(A,zero))) join complement(one) -> top
% 23.99/24.18 Rule
% 23.99/24.18 [329] converse(complement(composition(top,zero))) join complement(one) -> top
% 23.99/24.18 collapsed.
% 23.99/24.18 Current number of equations to process: 2856
% 23.99/24.18 Current number of ordered equations: 0
% 23.99/24.18 Current number of rules: 249
% 23.99/24.18 New rule produced :
% 23.99/24.18 [332]
% 23.99/24.18 composition(zero,complement(A join B)) join complement(B) -> complement(B)
% 23.99/24.18 Current number of equations to process: 2855
% 23.99/24.18 Current number of ordered equations: 0
% 23.99/24.18 Current number of rules: 250
% 23.99/24.18 New rule produced :
% 23.99/24.18 [333]
% 23.99/24.18 composition(composition(zero,A),B) join composition(A,B) -> composition(A,B)
% 23.99/24.18 Current number of equations to process: 2853
% 23.99/24.18 Current number of ordered equations: 0
% 23.99/24.18 Current number of rules: 251
% 23.99/24.18 New rule produced :
% 23.99/24.18 [334]
% 23.99/24.18 composition(A,composition(zero,B)) join composition(A,B) -> composition(A,B)
% 23.99/24.18 Current number of equations to process: 2852
% 23.99/24.18 Current number of ordered equations: 0
% 23.99/24.18 Current number of rules: 252
% 23.99/24.18 New rule produced :
% 23.99/24.18 [335]
% 23.99/24.18 composition(composition(A,B),complement(converse(composition(top,B)))) ->
% 23.99/24.18 composition(A,zero)
% 23.99/24.18 Current number of equations to process: 2850
% 23.99/24.18 Current number of ordered equations: 0
% 23.99/24.18 Current number of rules: 253
% 23.99/24.18 New rule produced :
% 23.99/24.18 [336]
% 23.99/24.18 composition(B,composition(complement(converse(composition(top,B))),A)) ->
% 23.99/24.18 composition(zero,A)
% 23.99/24.18 Current number of equations to process: 2849
% 23.99/24.18 Current number of ordered equations: 0
% 23.99/24.18 Current number of rules: 254
% 23.99/24.18 New rule produced :
% 23.99/24.18 [337]
% 23.99/24.18 converse(complement(one)) join composition(A,complement(converse(A))) ->
% 23.99/24.18 converse(complement(one))
% 23.99/24.18 Current number of equations to process: 2929
% 23.99/24.18 Current number of ordered equations: 0
% 23.99/24.18 Current number of rules: 255
% 23.99/24.18 New rule produced :
% 23.99/24.18 [338]
% 23.99/24.18 converse(complement(composition(A,complement(converse(A))))) join complement(one)
% 23.99/24.18 -> top
% 23.99/24.18 Current number of equations to process: 2928
% 23.99/24.18 Current number of ordered equations: 0
% 23.99/24.18 Current number of rules: 256
% 23.99/24.18 New rule produced :
% 23.99/24.18 [339]
% 23.99/24.18 complement(A join B) join complement(composition(zero,A)) ->
% 23.99/24.18 complement(composition(zero,A))
% 23.99/24.18 Current number of equations to process: 2957
% 23.99/24.18 Current number of ordered equations: 0
% 23.99/24.18 Current number of rules: 257
% 23.99/24.18 New rule produced :
% 23.99/24.18 [340]
% 23.99/24.18 composition(top,complement(converse(composition(top,complement(one))))) ->
% 23.99/24.18 complement(converse(composition(top,complement(one))))
% 23.99/24.18 Current number of equations to process: 2953
% 23.99/24.18 Current number of ordered equations: 0
% 23.99/24.18 Current number of rules: 258
% 23.99/24.18 New rule produced :
% 23.99/24.18 [341]
% 23.99/24.18 converse(composition(top,zero)) join composition(top,complement(one)) ->
% 23.99/24.18 composition(top,complement(one))
% 23.99/24.18 Current number of equations to process: 2952
% 23.99/24.18 Current number of ordered equations: 0
% 23.99/24.18 Current number of rules: 259
% 23.99/24.18 New rule produced :
% 23.99/24.18 [342] composition(top,composition(top,A)) -> composition(top,A)
% 23.99/24.18 Rule
% 23.99/24.18 [283]
% 23.99/24.18 composition(top,composition(top,A)) join complement(composition(B,A)) -> top
% 25.51/25.74 collapsed.
% 25.51/25.74 Current number of equations to process: 3088
% 25.51/25.74 Current number of ordered equations: 0
% 25.51/25.74 Current number of rules: 259
% 25.51/25.74 New rule produced :
% 25.51/25.74 [343]
% 25.51/25.74 converse(complement(one)) join complement(composition(converse(A),complement(A)))
% 25.51/25.74 -> top
% 25.51/25.74 Current number of equations to process: 3196
% 25.51/25.74 Current number of ordered equations: 0
% 25.51/25.74 Current number of rules: 260
% 25.51/25.74 New rule produced :
% 25.51/25.74 [344]
% 25.51/25.74 converse(composition(A,top)) join converse(composition(A,B)) ->
% 25.51/25.74 converse(composition(A,top))
% 25.51/25.74 Current number of equations to process: 3195
% 25.51/25.74 Current number of ordered equations: 0
% 25.51/25.74 Current number of rules: 261
% 25.51/25.74 New rule produced :
% 25.51/25.74 [345]
% 25.51/25.74 converse(composition(top,A)) join composition(converse(A),B) ->
% 25.51/25.74 converse(composition(top,A))
% 25.51/25.74 Current number of equations to process: 3194
% 25.51/25.74 Current number of ordered equations: 0
% 25.51/25.74 Current number of rules: 262
% 25.51/25.74 New rule produced : [346] converse(complement(one)) -> complement(one)
% 25.51/25.74 Rule
% 25.51/25.74 [142]
% 25.51/25.74 converse(composition(converse(A),complement(A))) join converse(complement(one))
% 25.51/25.74 -> converse(complement(one)) collapsed.
% 25.51/25.74 Rule [183] one join converse(complement(one)) -> top collapsed.
% 25.51/25.74 Rule
% 25.51/25.74 [200]
% 25.51/25.74 converse(complement(one)) join composition(converse(A),complement(A)) ->
% 25.51/25.74 converse(complement(one)) collapsed.
% 25.51/25.74 Rule
% 25.51/25.74 [224]
% 25.51/25.74 converse(composition(top,zero)) join converse(complement(one)) ->
% 25.51/25.74 converse(complement(one)) collapsed.
% 25.51/25.74 Rule
% 25.51/25.74 [231]
% 25.51/25.74 converse(composition(A,complement(converse(A)))) join converse(complement(one))
% 25.51/25.74 -> converse(complement(one)) collapsed.
% 25.51/25.74 Rule
% 25.51/25.74 [233]
% 25.51/25.74 converse(complement(one)) join converse(complement(composition(converse(A),
% 25.51/25.74 complement(A)))) -> top
% 25.51/25.74 collapsed.
% 25.51/25.74 Rule
% 25.51/25.74 [241]
% 25.51/25.74 converse(complement(one)) join complement(converse(composition(converse(A),
% 25.51/25.74 complement(A)))) -> top
% 25.51/25.74 collapsed.
% 25.51/25.74 Rule [270] converse(complement(one)) join complement(one) -> complement(one)
% 25.51/25.74 collapsed.
% 25.51/25.74 Rule
% 25.51/25.74 [296]
% 25.51/25.74 converse(complement(one)) join converse(complement(composition(top,zero))) ->
% 25.51/25.74 top collapsed.
% 25.51/25.74 Rule [310] complement(converse(complement(one))) -> one collapsed.
% 25.51/25.74 Rule
% 25.51/25.74 [312] composition(converse(complement(one)),A) join A -> composition(top,A)
% 25.51/25.74 collapsed.
% 25.51/25.74 Rule
% 25.51/25.74 [313]
% 25.51/25.74 complement(converse(complement(one)) join A) ->
% 25.51/25.74 complement(complement(one) join A) collapsed.
% 25.51/25.74 Rule
% 25.51/25.74 [314] composition(A,converse(complement(one))) join A -> composition(A,top)
% 25.51/25.74 collapsed.
% 25.51/25.74 Rule
% 25.51/25.74 [337]
% 25.51/25.74 converse(complement(one)) join composition(A,complement(converse(A))) ->
% 25.51/25.74 converse(complement(one)) collapsed.
% 25.51/25.74 Rule
% 25.51/25.74 [343]
% 25.51/25.74 converse(complement(one)) join complement(composition(converse(A),complement(A)))
% 25.51/25.74 -> top collapsed.
% 25.51/25.74 Current number of equations to process: 3268
% 25.51/25.74 Current number of ordered equations: 0
% 25.51/25.74 Current number of rules: 248
% 25.51/25.74 New rule produced :
% 25.51/25.74 [347] composition(A,complement(one)) join A -> composition(A,top)
% 25.51/25.74 Current number of equations to process: 3266
% 25.51/25.74 Current number of ordered equations: 0
% 25.51/25.74 Current number of rules: 249
% 25.51/25.74 New rule produced :
% 25.51/25.74 [348]
% 25.51/25.74 one join complement(composition(converse(A),complement(A))) ->
% 25.51/25.74 complement(composition(converse(A),complement(A)))
% 25.51/25.74 Rule
% 25.51/25.74 [236]
% 25.51/25.74 complement(one join complement(composition(converse(A),complement(A)))) ->
% 25.51/25.74 composition(converse(A),complement(A)) collapsed.
% 25.51/25.74 Current number of equations to process: 3267
% 25.51/25.74 Current number of ordered equations: 0
% 25.51/25.74 Current number of rules: 249
% 25.51/25.74 New rule produced :
% 25.51/25.74 [349]
% 25.51/25.74 converse(composition(A,converse(B))) join composition(B,top) ->
% 25.51/25.74 composition(B,top)
% 25.51/25.74 Rule
% 25.51/25.74 [264]
% 25.51/25.74 converse(composition(join_complement_meet_composition_one_converse_top_zero__2,
% 25.51/25.74 converse(A))) join composition(A,top) -> composition(A,top)
% 25.51/25.74 collapsed.
% 25.51/25.74 Current number of equations to process: 3364
% 25.51/25.74 Current number of ordered equations: 0
% 25.51/25.74 Current number of rules: 249
% 25.51/25.74 New rule produced :
% 25.51/25.74 [350]
% 25.51/25.74 converse(composition(top,A)) join converse(A) -> converse(composition(top,A))
% 25.51/25.74 Current number of equations to process: 3440
% 25.51/25.74 Current number of ordered equations: 0
% 25.51/25.74 Current number of rules: 250
% 25.51/25.74 New rule produced :
% 25.51/25.74 [351] converse(composition(A,zero)) join complement(one) -> complement(one)
% 25.51/25.74 Rule
% 25.51/25.74 [196] converse(composition(top,zero)) join complement(one) -> complement(one)
% 27.80/28.02 collapsed.
% 27.80/28.02 Current number of equations to process: 3450
% 27.80/28.02 Current number of ordered equations: 0
% 27.80/28.02 Current number of rules: 250
% 27.80/28.02 New rule produced :
% 27.80/28.02 [352]
% 27.80/28.02 converse(composition(A,top)) join converse(A) -> converse(composition(A,top))
% 27.80/28.02 Current number of equations to process: 3526
% 27.80/28.02 Current number of ordered equations: 0
% 27.80/28.02 Current number of rules: 251
% 27.80/28.02 New rule produced : [353] complement(complement(A) join B) join A -> A
% 27.80/28.02 Rule
% 27.80/28.02 [207] complement(complement(complement(A) join B) join A) -> complement(A)
% 27.80/28.02 collapsed.
% 27.80/28.02 Current number of equations to process: 3577
% 27.80/28.02 Current number of ordered equations: 0
% 27.80/28.02 Current number of rules: 251
% 27.80/28.02 New rule produced :
% 27.80/28.02 [354] converse(A) join complement(converse(complement(A))) -> converse(A)
% 27.80/28.02 Rule
% 27.80/28.02 [208]
% 27.80/28.02 complement(converse(A) join complement(converse(complement(A)))) ->
% 27.80/28.02 complement(converse(A)) collapsed.
% 27.80/28.02 Current number of equations to process: 3578
% 27.80/28.02 Current number of ordered equations: 0
% 27.80/28.02 Current number of rules: 251
% 27.80/28.02 New rule produced :
% 27.80/28.02 [355]
% 27.80/28.02 converse(complement(A)) join complement(converse(A)) ->
% 27.80/28.03 converse(complement(A))
% 27.80/28.03 Rule
% 27.80/28.03 [209]
% 27.80/28.03 complement(converse(complement(A)) join complement(converse(A))) ->
% 27.80/28.03 complement(converse(complement(A))) collapsed.
% 27.80/28.03 Current number of equations to process: 3579
% 27.80/28.03 Current number of ordered equations: 0
% 27.80/28.03 Current number of rules: 251
% 27.80/28.03 New rule produced :
% 27.80/28.03 [356] complement(converse(complement(converse(A)))) join A -> A
% 27.80/28.03 Rule
% 27.80/28.03 [212]
% 27.80/28.03 complement(complement(converse(complement(converse(A)))) join A) ->
% 27.80/28.03 complement(A) collapsed.
% 27.80/28.03 Current number of equations to process: 3649
% 27.80/28.03 Current number of ordered equations: 0
% 27.80/28.03 Current number of rules: 251
% 27.80/28.03 New rule produced :
% 27.80/28.03 [357]
% 27.80/28.03 converse(complement(converse(A))) join complement(A) ->
% 27.80/28.03 converse(complement(converse(A)))
% 27.80/28.03 Rule
% 27.80/28.03 [213]
% 27.80/28.03 complement(converse(complement(converse(A))) join complement(A)) ->
% 27.80/28.03 complement(converse(complement(converse(A)))) collapsed.
% 27.80/28.03 Current number of equations to process: 3653
% 27.80/28.03 Current number of ordered equations: 0
% 27.80/28.03 Current number of rules: 251
% 27.80/28.03 New rule produced :
% 27.80/28.03 [358] complement(converse(complement(converse(A))) join B) join A -> A
% 27.80/28.03 Rule
% 27.80/28.03 [220]
% 27.80/28.03 complement(complement(converse(complement(converse(A))) join B) join A) ->
% 27.80/28.03 complement(A) collapsed.
% 27.80/28.03 Current number of equations to process: 3763
% 27.80/28.03 Current number of ordered equations: 0
% 27.80/28.03 Current number of rules: 251
% 27.80/28.03 New rule produced :
% 27.80/28.03 [359]
% 27.80/28.03 converse(A) join complement(converse(complement(A)) join B) -> converse(A)
% 27.80/28.03 Rule
% 27.80/28.03 [235]
% 27.80/28.03 complement(converse(A) join complement(converse(complement(A)) join B)) ->
% 27.80/28.03 complement(converse(A)) collapsed.
% 27.80/28.03 Current number of equations to process: 3900
% 27.80/28.03 Current number of ordered equations: 0
% 27.80/28.03 Current number of rules: 251
% 27.80/28.03 New rule produced :
% 27.80/28.03 [360]
% 27.80/28.03 complement(composition(complement(one),A)) join A ->
% 27.80/28.03 complement(composition(top,A)) join A
% 27.80/28.03 Current number of equations to process: 3899
% 27.80/28.03 Current number of ordered equations: 0
% 27.80/28.03 Current number of rules: 252
% 27.80/28.03 New rule produced :
% 27.80/28.03 [361] complement(composition(zero,A) join B) join A -> complement(B) join A
% 27.80/28.03 Current number of equations to process: 3897
% 27.80/28.03 Current number of ordered equations: 0
% 27.80/28.03 Current number of rules: 253
% 27.80/28.03 New rule produced :
% 27.80/28.03 [362]
% 27.80/28.03 converse(complement(A)) join complement(converse(A) join B) ->
% 27.80/28.03 converse(complement(A))
% 27.80/28.03 Current number of equations to process: 3918
% 27.80/28.03 Current number of ordered equations: 0
% 27.80/28.03 Current number of rules: 254
% 27.80/28.03 New rule produced :
% 27.80/28.03 [363]
% 27.80/28.03 converse(complement(converse(complement(complement(A) join B)))) join A ->
% 27.80/28.03 top
% 27.80/28.03 Current number of equations to process: 3917
% 27.80/28.03 Current number of ordered equations: 0
% 27.80/28.03 Current number of rules: 255
% 27.80/28.03 New rule produced :
% 27.80/28.03 [364]
% 27.80/28.03 converse(complement(converse(A))) join complement(A join B) ->
% 27.80/28.03 converse(complement(converse(A)))
% 27.80/28.03 Current number of equations to process: 3916
% 27.80/28.03 Current number of ordered equations: 0
% 27.80/28.03 Current number of rules: 256
% 27.80/28.03 New rule produced :
% 27.80/28.03 [365]
% 27.80/28.03 converse(complement(A join B)) join converse(B) ->
% 27.80/28.03 converse(complement(A)) join converse(B)
% 27.80/28.03 Rule
% 27.80/28.03 [52] converse(complement(A join B)) join converse(A) join converse(B) -> top
% 27.80/28.03 collapsed.
% 27.80/28.03 Rule
% 27.80/28.03 [144]
% 27.80/28.03 complement(converse(complement(A join A)) join converse(A)) ->
% 27.80/28.03 complement(top) collapsed.
% 27.80/28.03 Rule [282] one join converse(complement(one join A)) join converse(A) -> top
% 30.91/31.12 collapsed.
% 30.91/31.12 Current number of equations to process: 3915
% 30.91/31.12 Current number of ordered equations: 0
% 30.91/31.12 Current number of rules: 254
% 30.91/31.12 New rule produced :
% 30.91/31.12 [366]
% 30.91/31.12 converse(complement(A)) join complement(converse(complement(A join B))) ->
% 30.91/31.12 top
% 30.91/31.12 Current number of equations to process: 3945
% 30.91/31.12 Current number of ordered equations: 0
% 30.91/31.12 Current number of rules: 255
% 30.91/31.12 New rule produced :
% 30.91/31.12 [367]
% 30.91/31.12 converse(complement(converse(complement(composition(top,A))))) join complement(A)
% 30.91/31.12 -> top
% 30.91/31.12 Current number of equations to process: 4028
% 30.91/31.12 Current number of ordered equations: 0
% 30.91/31.12 Current number of rules: 256
% 30.91/31.12 New rule produced :
% 30.91/31.12 [368]
% 30.91/31.12 converse(complement(converse(complement(A)))) join complement(composition(zero,A))
% 30.91/31.12 -> top
% 30.91/31.12 Current number of equations to process: 4057
% 30.91/31.12 Current number of ordered equations: 0
% 30.91/31.12 Current number of rules: 257
% 30.91/31.12 New rule produced :
% 30.91/31.12 [369] complement(composition(top,A)) join complement(A) -> complement(A)
% 30.91/31.12 Current number of equations to process: 4227
% 30.91/31.12 Current number of ordered equations: 0
% 30.91/31.12 Current number of rules: 258
% 30.91/31.12 New rule produced :
% 30.91/31.12 [370]
% 30.91/31.12 complement(composition(top,A) join B) join complement(A) -> complement(A)
% 30.91/31.12 Current number of equations to process: 4284
% 30.91/31.12 Current number of ordered equations: 0
% 30.91/31.12 Current number of rules: 259
% 30.91/31.12 New rule produced :
% 30.91/31.12 [371] composition(A,top) join complement(composition(A,B)) -> top
% 30.91/31.12 Current number of equations to process: 4309
% 30.91/31.12 Current number of ordered equations: 0
% 30.91/31.12 Current number of rules: 260
% 30.91/31.12 New rule produced :
% 30.91/31.12 [372]
% 30.91/31.12 composition(A,converse(A)) join complement(one) ->
% 30.91/31.12 composition(A,top) join complement(one)
% 30.91/31.12 Current number of equations to process: 4459
% 30.91/31.12 Current number of ordered equations: 0
% 30.91/31.12 Current number of rules: 261
% 30.91/31.12 New rule produced :
% 30.91/31.12 [373] composition(zero,complement(A)) join A -> composition(zero,top) join A
% 30.91/31.12 Current number of equations to process: 4509
% 30.91/31.12 Current number of ordered equations: 0
% 30.91/31.12 Current number of rules: 262
% 30.91/31.12 New rule produced :
% 30.91/31.12 [374]
% 30.91/31.12 composition(zero,top) join complement(A) <->
% 30.91/31.12 composition(zero,A) join complement(A)
% 30.91/31.12 Current number of equations to process: 4508
% 30.91/31.12 Current number of ordered equations: 1
% 30.91/31.12 Current number of rules: 263
% 30.91/31.12 New rule produced :
% 30.91/31.12 [375]
% 30.91/31.12 composition(zero,A) join complement(A) <->
% 30.91/31.12 composition(zero,top) join complement(A)
% 30.91/31.12 Current number of equations to process: 4508
% 30.91/31.12 Current number of ordered equations: 0
% 30.91/31.12 Current number of rules: 264
% 30.91/31.12 New rule produced : [376] composition(A,top) join A -> composition(A,top)
% 30.91/31.12 Current number of equations to process: 4575
% 30.91/31.12 Current number of ordered equations: 0
% 30.91/31.12 Current number of rules: 265
% 30.91/31.12 New rule produced :
% 30.91/31.12 [377]
% 30.91/31.12 composition(top,composition(complement(one),top)) ->
% 30.91/31.12 composition(complement(one),top)
% 30.91/31.12 Current number of equations to process: 4668
% 30.91/31.12 Current number of ordered equations: 0
% 30.91/31.12 Current number of rules: 266
% 30.91/31.12 New rule produced :
% 30.91/31.12 [378]
% 30.91/31.12 converse(complement(A join B)) join converse(complement(A)) ->
% 30.91/31.12 converse(complement(A))
% 30.91/31.12 Current number of equations to process: 4698
% 30.91/31.12 Current number of ordered equations: 0
% 30.91/31.12 Current number of rules: 267
% 30.91/31.12 New rule produced :
% 30.91/31.12 [379]
% 30.91/31.12 converse(composition(A,top)) join composition(top,complement(converse(A))) ->
% 30.91/31.12 top
% 30.91/31.12 Current number of equations to process: 4697
% 30.91/31.12 Current number of ordered equations: 0
% 30.91/31.12 Current number of rules: 268
% 30.91/31.12 New rule produced :
% 30.91/31.12 [380]
% 30.91/31.12 composition(converse(A),A) join complement(one) ->
% 30.91/31.12 converse(composition(top,A)) join complement(one)
% 30.91/31.12 Current number of equations to process: 4695
% 30.91/31.12 Current number of ordered equations: 0
% 30.91/31.12 Current number of rules: 269
% 30.91/31.12 New rule produced :
% 30.91/31.12 [381]
% 30.91/31.12 composition(zero,composition(A,B)) join composition(A,top) ->
% 30.91/31.12 composition(A,top)
% 30.91/31.12 Current number of equations to process: 4694
% 30.91/31.12 Current number of ordered equations: 0
% 30.91/31.12 Current number of rules: 270
% 30.91/31.12 New rule produced :
% 30.91/31.12 [382]
% 30.91/31.12 composition(composition(A,B),C) join composition(A,top) -> composition(A,top)
% 30.91/31.12 Current number of equations to process: 4693
% 30.91/31.12 Current number of ordered equations: 0
% 30.91/31.12 Current number of rules: 271
% 30.91/31.12 New rule produced : [383] complement(converse(zero)) -> top
% 30.91/31.12 Rule [301] one join complement(converse(zero)) -> top collapsed.
% 30.91/31.12 Rule
% 30.91/31.12 [304]
% 30.91/31.12 complement(one) join complement(converse(zero)) -> complement(converse(zero))
% 30.91/31.12 collapsed.
% 52.55/52.73 Rule
% 52.55/52.73 [317]
% 52.55/52.73 complement(one join A) join complement(converse(zero)) ->
% 52.55/52.73 complement(converse(zero)) collapsed.
% 52.55/52.73 Rule [319] converse(complement(converse(zero))) -> top collapsed.
% 52.55/52.73 Rule [325] converse(A) join complement(converse(zero)) -> top collapsed.
% 52.55/52.73 Current number of equations to process: 4693
% 52.55/52.73 Current number of ordered equations: 0
% 52.55/52.73 Current number of rules: 267
% 52.55/52.73 New rule produced :
% 52.55/52.73 [384]
% 52.55/52.73 converse(complement(converse(complement(A)))) join A ->
% 52.55/52.73 converse(complement(converse(complement(A))))
% 52.55/52.73 Rule
% 52.55/52.73 [219]
% 52.55/52.73 complement(converse(complement(converse(complement(A)))) join A) ->
% 52.55/52.73 complement(converse(complement(converse(complement(A))))) collapsed.
% 52.55/52.73 Current number of equations to process: 4693
% 52.55/52.73 Current number of ordered equations: 0
% 52.55/52.73 Current number of rules: 267
% 52.55/52.73 New rule produced :
% 52.55/52.73 [385]
% 52.55/52.73 composition(top,A) join complement(A join B) ->
% 52.55/52.73 composition(top,A) join complement(B)
% 52.55/52.73 Current number of equations to process: 4771
% 52.55/52.73 Current number of ordered equations: 0
% 52.55/52.73 Current number of rules: 268
% 52.55/52.73 New rule produced :
% 52.55/52.73 [386]
% 52.55/52.73 complement(complement(composition(top,zero)) join A) join complement(one) ->
% 52.55/52.73 complement(one)
% 52.55/52.73 Current number of equations to process: 4770
% 52.55/52.73 Current number of ordered equations: 0
% 52.55/52.73 Current number of rules: 269
% 52.55/52.73 New rule produced :
% 52.55/52.73 [387]
% 52.55/52.73 composition(top,complement(A)) join complement(A join B) ->
% 52.55/52.73 composition(top,complement(A))
% 52.55/52.73 Current number of equations to process: 4768
% 52.55/52.73 Current number of ordered equations: 0
% 52.55/52.73 Current number of rules: 270
% 52.55/52.73 New rule produced :
% 52.55/52.73 [388]
% 52.55/52.73 complement(composition(A,top)) join complement(composition(A,B)) ->
% 52.55/52.73 complement(composition(A,B))
% 52.55/52.73 Current number of equations to process: 4767
% 52.55/52.73 Current number of ordered equations: 0
% 52.55/52.73 Current number of rules: 271
% 52.55/52.73 New rule produced :
% 52.55/52.73 [389]
% 52.55/52.73 composition(top,A) join composition(complement(one),top) ->
% 52.55/52.73 composition(complement(one),top) join A
% 52.55/52.73 Current number of equations to process: 4765
% 52.55/52.73 Current number of ordered equations: 0
% 52.55/52.73 Current number of rules: 272
% 52.55/52.73 New rule produced :
% 52.55/52.73 [390] complement(one) join complement(composition(A,zero)) -> top
% 52.55/52.73 Rule [179] complement(one) join complement(composition(top,zero)) -> top
% 52.55/52.73 collapsed.
% 52.55/52.73 Current number of equations to process: 4900
% 52.55/52.73 Current number of ordered equations: 0
% 52.55/52.73 Current number of rules: 272
% 52.55/52.73 New rule produced :
% 52.55/52.73 [391] one join converse(complement(one join converse(A))) join A -> top
% 52.55/52.73 Current number of equations to process: 1873
% 52.55/52.73 Current number of ordered equations: 0
% 52.55/52.73 Current number of rules: 273
% 52.55/52.73 New rule produced :
% 52.55/52.73 [392]
% 52.55/52.73 converse(complement(composition(A,converse(zero)))) join converse(A) -> top
% 52.55/52.73 Current number of equations to process: 2433
% 52.55/52.73 Current number of ordered equations: 0
% 52.55/52.73 Current number of rules: 274
% 52.55/52.73 New rule produced :
% 52.55/52.73 [393]
% 52.55/52.73 complement(composition(top,complement(composition(top,complement(A))))) join A
% 52.55/52.73 -> top
% 52.55/52.73 Current number of equations to process: 3070
% 52.55/52.73 Current number of ordered equations: 0
% 52.55/52.73 Current number of rules: 275
% 52.55/52.73 New rule produced :
% 52.55/52.73 [394]
% 52.55/52.73 converse(composition(complement(A),top)) join converse(composition(A,top)) ->
% 52.55/52.73 top
% 52.55/52.73 Current number of equations to process: 3155
% 52.55/52.73 Current number of ordered equations: 0
% 52.55/52.73 Current number of rules: 276
% 52.55/52.73 New rule produced :
% 52.55/52.73 [395]
% 52.55/52.73 converse(composition(complement(converse(A)),top)) join composition(top,A) ->
% 52.55/52.73 top
% 52.55/52.73 Current number of equations to process: 3426
% 52.55/52.73 Current number of ordered equations: 0
% 52.55/52.73 Current number of rules: 277
% 52.55/52.73 New rule produced :
% 52.55/52.73 [396]
% 52.55/52.73 converse(composition(composition(A,top),top)) -> converse(composition(A,top))
% 52.55/52.73 Current number of equations to process: 4529
% 52.55/52.73 Current number of ordered equations: 0
% 52.55/52.73 Current number of rules: 278
% 52.55/52.73 New rule produced :
% 52.55/52.73 [397] composition(composition(A,top),top) -> composition(A,top)
% 52.55/52.73 Rule
% 52.55/52.73 [396]
% 52.55/52.73 converse(composition(composition(A,top),top)) -> converse(composition(A,top))
% 52.55/52.73 collapsed.
% 52.55/52.73 Current number of equations to process: 4671
% 52.55/52.73 Current number of ordered equations: 0
% 52.55/52.73 Current number of rules: 278
% 52.55/52.73 Rule [321] composition(complement(one),zero) -> composition(top,zero) is composed into
% 52.55/52.73 [321] composition(complement(one),zero) -> zero
% 52.55/52.73 New rule produced : [398] composition(top,zero) -> zero
% 52.55/52.73 Rule
% 52.55/52.73 [245] complement(one) join complement(converse(composition(top,zero))) -> top
% 52.55/52.73 collapsed.
% 52.55/52.73 Rule
% 52.55/52.73 [252]
% 59.72/59.89 converse(complement(converse(composition(top,zero)))) join complement(one) ->
% 59.72/59.89 top collapsed.
% 59.72/59.89 Rule [278] composition(top,zero) join A -> A collapsed.
% 59.72/59.89 Rule
% 59.72/59.89 [286]
% 59.72/59.89 one join complement(composition(top,zero)) ->
% 59.72/59.89 complement(composition(top,zero)) collapsed.
% 59.72/59.89 Rule
% 59.72/59.89 [297]
% 59.72/59.89 composition(top,complement(composition(top,zero))) join complement(one) ->
% 59.72/59.89 top collapsed.
% 59.72/59.89 Rule
% 59.72/59.89 [298]
% 59.72/59.89 composition(top,complement(one)) join complement(composition(top,zero)) ->
% 59.72/59.89 top collapsed.
% 59.72/59.89 Rule
% 59.72/59.89 [330]
% 59.72/59.89 one join complement(converse(composition(top,zero))) ->
% 59.72/59.89 complement(converse(composition(top,zero))) collapsed.
% 59.72/59.89 Rule
% 59.72/59.89 [341]
% 59.72/59.89 converse(composition(top,zero)) join composition(top,complement(one)) ->
% 59.72/59.89 composition(top,complement(one)) collapsed.
% 59.72/59.89 Rule
% 59.72/59.89 [386]
% 59.72/59.89 complement(complement(composition(top,zero)) join A) join complement(one) ->
% 59.72/59.89 complement(one) collapsed.
% 59.72/59.89 Current number of equations to process: 1200
% 59.72/59.89 Current number of ordered equations: 0
% 59.72/59.89 Current number of rules: 270
% 59.72/59.89 New rule produced :
% 59.72/59.89 [399] composition(B,complement(composition(top,complement(A)))) join A -> A
% 59.72/59.89 Rule
% 59.72/59.89 [253] composition(top,complement(composition(top,complement(A)))) join A -> A
% 59.72/59.89 collapsed.
% 59.72/59.89 Current number of equations to process: 1242
% 59.72/59.89 Current number of ordered equations: 0
% 59.72/59.89 Current number of rules: 270
% 59.72/59.89 New rule produced :
% 59.72/59.89 [400]
% 59.72/59.89 composition(B,complement(composition(top,A))) join complement(A) ->
% 59.72/59.89 complement(A)
% 59.72/59.89 Rule
% 59.72/59.89 [254]
% 59.72/59.89 composition(top,complement(composition(top,A))) join complement(A) ->
% 59.72/59.89 complement(A) collapsed.
% 59.72/59.89 Current number of equations to process: 1267
% 59.72/59.89 Current number of ordered equations: 0
% 59.72/59.89 Current number of rules: 270
% 59.72/59.89 New rule produced :
% 59.72/59.89 [401]
% 59.72/59.89 converse(composition(top,A)) join composition(complement(converse(A)),top) ->
% 59.72/59.89 top
% 59.72/59.89 Current number of equations to process: 1389
% 59.72/59.89 Current number of ordered equations: 0
% 59.72/59.89 Current number of rules: 271
% 59.72/59.89 New rule produced :
% 59.72/59.89 [402]
% 59.72/59.89 complement(composition(A,complement(composition(top,complement(B))))) join B
% 59.72/59.89 -> top
% 59.72/59.89 Rule
% 59.72/59.89 [393]
% 59.72/59.89 complement(composition(top,complement(composition(top,complement(A))))) join A
% 59.72/59.89 -> top collapsed.
% 59.72/59.89 Current number of equations to process: 1386
% 59.72/59.89 Current number of ordered equations: 0
% 59.72/59.89 Current number of rules: 271
% 59.72/59.89 New rule produced :
% 59.72/59.89 [403]
% 59.72/59.89 complement(composition(A,complement(composition(top,B)))) join complement(B)
% 59.72/59.89 -> top
% 59.72/59.89 Rule
% 59.72/59.89 [265]
% 59.72/59.89 complement(composition(top,complement(composition(top,A)))) join complement(A)
% 59.72/59.89 -> top collapsed.
% 59.72/59.89 Current number of equations to process: 1385
% 59.72/59.89 Current number of ordered equations: 0
% 59.72/59.89 Current number of rules: 271
% 59.72/59.89 New rule produced :
% 59.72/59.89 [404] converse(composition(A,top)) join converse(complement(A)) -> top
% 59.72/59.89 Current number of equations to process: 2559
% 59.72/59.89 Current number of ordered equations: 0
% 59.72/59.89 Current number of rules: 272
% 59.72/59.89 New rule produced :
% 59.72/59.89 [405] converse(composition(top,A)) join complement(converse(A)) -> top
% 59.72/59.89 Current number of equations to process: 2567
% 59.72/59.89 Current number of ordered equations: 0
% 59.72/59.89 Current number of rules: 273
% 59.72/59.89 New rule produced :
% 59.72/59.89 [406] converse(composition(top,complement(A))) join converse(A) -> top
% 59.72/59.89 Current number of equations to process: 2649
% 59.72/59.89 Current number of ordered equations: 0
% 59.72/59.89 Current number of rules: 274
% 59.72/59.89 New rule produced :
% 59.72/59.89 [407] composition(top,complement(composition(zero,A))) join A -> top
% 59.72/59.89 Current number of equations to process: 2724
% 59.72/59.89 Current number of ordered equations: 0
% 59.72/59.89 Current number of rules: 275
% 59.72/59.89 New rule produced :
% 59.72/59.89 [408] complement(composition(top,complement(A))) join A -> A
% 59.72/59.89 Current number of equations to process: 2755
% 59.72/59.89 Current number of ordered equations: 0
% 59.72/59.89 Current number of rules: 276
% 59.72/59.89 New rule produced :
% 59.72/59.89 [409] complement(composition(top,complement(A)) join B) join A -> A
% 59.72/59.89 Current number of equations to process: 2798
% 59.72/59.89 Current number of ordered equations: 0
% 59.72/59.89 Current number of rules: 277
% 59.72/59.89 New rule produced : [410] composition(complement(A),top) join A -> top
% 59.72/59.89 Current number of equations to process: 2806
% 59.72/59.89 Current number of ordered equations: 0
% 59.72/59.89 Current number of rules: 278
% 59.72/59.89 New rule produced :
% 59.72/59.89 [411] converse(composition(complement(converse(A)),top)) join A -> top
% 59.72/59.89 Current number of equations to process: 2805
% 59.72/59.89 Current number of ordered equations: 0
% 59.72/59.89 Current number of rules: 279
% 59.72/59.89 New rule produced :
% 59.72/59.89 [412]
% 59.72/59.89 composition(composition(A,top),composition(top,B)) ->
% 65.61/65.80 composition(A,composition(top,B))
% 65.61/65.80 Current number of equations to process: 2907
% 65.61/65.80 Current number of ordered equations: 0
% 65.61/65.80 Current number of rules: 280
% 65.61/65.80 New rule produced :
% 65.61/65.80 [413]
% 65.61/65.80 converse(A) join complement(converse(composition(complement(A),top))) ->
% 65.61/65.80 converse(A)
% 65.61/65.80 Current number of equations to process: 2905
% 65.61/65.80 Current number of ordered equations: 0
% 65.61/65.80 Current number of rules: 281
% 65.61/65.80 New rule produced :
% 65.61/65.80 [414]
% 65.61/65.80 composition(composition(top,complement(one)),A) join A -> composition(top,A)
% 65.61/65.80 Current number of equations to process: 2926
% 65.61/65.80 Current number of ordered equations: 0
% 65.61/65.80 Current number of rules: 282
% 65.61/65.80 New rule produced :
% 65.61/65.80 [415] converse(composition(top,complement(converse(A)))) join A -> top
% 65.61/65.80 Current number of equations to process: 3048
% 65.61/65.80 Current number of ordered equations: 0
% 65.61/65.80 Current number of rules: 283
% 65.61/65.80 New rule produced :
% 65.61/65.80 [416]
% 65.61/65.80 converse(composition(complement(one),converse(A))) join A ->
% 65.61/65.80 composition(A,top)
% 65.61/65.80 Current number of equations to process: 3055
% 65.61/65.80 Current number of ordered equations: 0
% 65.61/65.80 Current number of rules: 284
% 65.61/65.80 New rule produced :
% 65.61/65.80 [417]
% 65.61/65.80 composition(composition(top,A),B) join complement(composition(A,B)) -> top
% 65.61/65.80 Current number of equations to process: 3098
% 65.61/65.80 Current number of ordered equations: 0
% 65.61/65.80 Current number of rules: 285
% 65.61/65.80 New rule produced :
% 65.61/65.80 [418]
% 65.61/65.80 composition(top,A) join complement(complement(A) join B) ->
% 65.61/65.80 composition(top,A)
% 65.61/65.80 Current number of equations to process: 3097
% 65.61/65.80 Current number of ordered equations: 0
% 65.61/65.80 Current number of rules: 286
% 65.61/65.80 New rule produced :
% 65.61/65.80 [419]
% 65.61/65.80 composition(top,A) join complement(converse(complement(converse(A)))) ->
% 65.61/65.80 composition(top,A)
% 65.61/65.80 Current number of equations to process: 3095
% 65.61/65.80 Current number of ordered equations: 0
% 65.61/65.80 Current number of rules: 287
% 65.61/65.80 New rule produced :
% 65.61/65.80 [420]
% 65.61/65.80 composition(top,complement(composition(A,B))) join composition(A,top) -> top
% 65.61/65.80 Current number of equations to process: 3091
% 65.61/65.80 Current number of ordered equations: 0
% 65.61/65.80 Current number of rules: 288
% 65.61/65.80 New rule produced :
% 65.61/65.80 [421]
% 65.61/65.80 complement(converse(composition(top,A))) join complement(converse(A)) ->
% 65.61/65.80 complement(converse(A))
% 65.61/65.80 Current number of equations to process: 3154
% 65.61/65.80 Current number of ordered equations: 0
% 65.61/65.80 Current number of rules: 289
% 65.61/65.80 New rule produced :
% 65.61/65.80 [422]
% 65.61/65.80 converse(composition(top,complement(converse(A)))) join composition(top,A) ->
% 65.61/65.80 top
% 65.61/65.80 Current number of equations to process: 3205
% 65.61/65.80 Current number of ordered equations: 0
% 65.61/65.80 Current number of rules: 290
% 65.61/65.80 New rule produced :
% 65.61/65.80 [423]
% 65.61/65.80 converse(composition(top,A)) join composition(top,complement(converse(A))) ->
% 65.61/65.80 top
% 65.61/65.80 Current number of equations to process: 3204
% 65.61/65.80 Current number of ordered equations: 0
% 65.61/65.80 Current number of rules: 291
% 65.61/65.80 New rule produced :
% 65.61/65.80 [424]
% 65.61/65.80 converse(composition(top,composition(complement(A),top))) join converse(A) ->
% 65.61/65.80 top
% 65.61/65.80 Current number of equations to process: 3202
% 65.61/65.80 Current number of ordered equations: 1
% 65.61/65.80 Current number of rules: 292
% 65.61/65.80 New rule produced :
% 65.61/65.80 [425]
% 65.61/65.80 converse(composition(top,A)) join converse(composition(complement(A),top)) ->
% 65.61/65.80 top
% 65.61/65.80 Current number of equations to process: 3202
% 65.61/65.80 Current number of ordered equations: 0
% 65.61/65.80 Current number of rules: 293
% 65.61/65.80 New rule produced :
% 65.61/65.80 [426]
% 65.61/65.80 converse(composition(top,A)) join complement(composition(converse(A),B)) ->
% 65.61/65.80 top
% 65.61/65.80 Current number of equations to process: 3357
% 65.61/65.80 Current number of ordered equations: 0
% 65.61/65.80 Current number of rules: 294
% 65.61/65.80 New rule produced :
% 65.61/65.80 [427]
% 65.61/65.80 converse(complement(converse(A))) join complement(composition(top,A)) ->
% 65.61/65.80 converse(complement(converse(A)))
% 65.61/65.80 Current number of equations to process: 3453
% 65.61/65.80 Current number of ordered equations: 0
% 65.61/65.80 Current number of rules: 295
% 65.61/65.80 New rule produced :
% 65.61/65.80 [428]
% 65.61/65.80 converse(composition(top,A)) join composition(zero,converse(A)) ->
% 65.61/65.80 converse(composition(top,A))
% 65.61/65.80 Current number of equations to process: 3451
% 65.61/65.80 Current number of ordered equations: 0
% 65.61/65.80 Current number of rules: 296
% 65.61/65.80 New rule produced :
% 65.61/65.80 [429]
% 65.61/65.80 composition(A,top) join complement(converse(composition(B,converse(A)))) ->
% 65.61/65.80 top
% 65.61/65.80 Current number of equations to process: 3528
% 65.61/65.80 Current number of ordered equations: 0
% 65.61/65.80 Current number of rules: 297
% 65.61/65.80 New rule produced :
% 65.61/65.80 [430] converse(complement(converse(A))) join composition(A,top) -> top
% 65.61/65.80 Current number of equations to process: 3776
% 65.61/65.80 Current number of ordered equations: 0
% 72.41/72.57 Current number of rules: 298
% 72.41/72.57 New rule produced :
% 72.41/72.57 [431]
% 72.41/72.57 converse(complement(A)) join complement(converse(composition(top,A))) ->
% 72.41/72.57 converse(complement(A))
% 72.41/72.57 Current number of equations to process: 4066
% 72.41/72.57 Current number of ordered equations: 0
% 72.41/72.57 Current number of rules: 299
% 72.41/72.57 New rule produced :
% 72.41/72.57 [432]
% 72.41/72.57 converse(composition(top,complement(A))) join converse(composition(top,A)) ->
% 72.41/72.57 top
% 72.41/72.57 Current number of equations to process: 4065
% 72.41/72.57 Current number of ordered equations: 0
% 72.41/72.57 Current number of rules: 300
% 72.41/72.57 New rule produced :
% 72.41/72.57 [433]
% 72.41/72.57 complement(converse(composition(A,top))) join complement(converse(A)) ->
% 72.41/72.57 complement(converse(A))
% 72.41/72.57 Current number of equations to process: 4236
% 72.41/72.57 Current number of ordered equations: 0
% 72.41/72.57 Current number of rules: 301
% 72.41/72.57 New rule produced :
% 72.41/72.57 [434]
% 72.41/72.57 converse(composition(top,composition(A,top))) join complement(converse(A)) ->
% 72.41/72.57 top
% 72.41/72.57 Current number of equations to process: 4235
% 72.41/72.57 Current number of ordered equations: 0
% 72.41/72.57 Current number of rules: 302
% 72.41/72.57 New rule produced : [435] composition(converse(zero),zero) -> zero
% 72.41/72.57 Current number of equations to process: 4340
% 72.41/72.57 Current number of ordered equations: 0
% 72.41/72.57 Current number of rules: 303
% 72.41/72.57 New rule produced : [436] converse(composition(converse(A),zero)) join A -> A
% 72.41/72.57 Current number of equations to process: 4344
% 72.41/72.57 Current number of ordered equations: 0
% 72.41/72.57 Current number of rules: 304
% 72.41/72.57 New rule produced :
% 72.41/72.57 [437] complement(composition(converse(zero),A)) join A -> top
% 72.41/72.57 Current number of equations to process: 4345
% 72.41/72.57 Current number of ordered equations: 0
% 72.41/72.57 Current number of rules: 305
% 72.41/72.57 New rule produced :
% 72.41/72.57 [438] converse(composition(A,zero)) join converse(A) -> converse(A)
% 72.41/72.57 Current number of equations to process: 4355
% 72.41/72.57 Current number of ordered equations: 0
% 72.41/72.57 Current number of rules: 306
% 72.41/72.57 New rule produced :
% 72.41/72.57 [439] composition(converse(zero),composition(zero,A)) join A -> A
% 72.41/72.57 Current number of equations to process: 4400
% 72.41/72.57 Current number of ordered equations: 1
% 72.41/72.57 Current number of rules: 307
% 72.41/72.57 New rule produced :
% 72.41/72.57 [440] composition(zero,composition(converse(zero),A)) join A -> A
% 72.41/72.57 Current number of equations to process: 4400
% 72.41/72.57 Current number of ordered equations: 0
% 72.41/72.57 Current number of rules: 308
% 72.41/72.57 New rule produced :
% 72.41/72.57 [441] composition(converse(zero),complement(A)) join A -> A
% 72.41/72.57 Current number of equations to process: 4428
% 72.41/72.57 Current number of ordered equations: 0
% 72.41/72.57 Current number of rules: 309
% 72.41/72.57 New rule produced :
% 72.41/72.57 [442] composition(converse(zero),A) join complement(A) -> complement(A)
% 72.41/72.57 Current number of equations to process: 4427
% 72.41/72.57 Current number of ordered equations: 0
% 72.41/72.57 Current number of rules: 310
% 72.41/72.57 New rule produced :
% 72.41/72.57 [443] converse(complement(composition(converse(A),zero))) join A -> top
% 72.41/72.57 Current number of equations to process: 4434
% 72.41/72.57 Current number of ordered equations: 0
% 72.41/72.57 Current number of rules: 311
% 72.41/72.57 New rule produced : [444] composition(zero,converse(zero)) -> zero
% 72.41/72.57 Rule [308] one join composition(zero,converse(zero)) -> one collapsed.
% 72.41/72.57 Current number of equations to process: 4456
% 72.41/72.57 Current number of ordered equations: 0
% 72.41/72.57 Current number of rules: 311
% 72.41/72.57 New rule produced :
% 72.41/72.57 [445] complement(composition(A,converse(zero))) join A -> top
% 72.41/72.57 Current number of equations to process: 4466
% 72.41/72.57 Current number of ordered equations: 0
% 72.41/72.57 Current number of rules: 312
% 72.41/72.57 New rule produced : [446] converse(composition(zero,converse(A))) join A -> A
% 72.41/72.57 Current number of equations to process: 4484
% 72.41/72.57 Current number of ordered equations: 0
% 72.41/72.57 Current number of rules: 313
% 72.41/72.57 New rule produced :
% 72.41/72.57 [447] converse(composition(zero,top)) join complement(one) -> complement(one)
% 72.41/72.57 Current number of equations to process: 4535
% 72.41/72.57 Current number of ordered equations: 0
% 72.41/72.57 Current number of rules: 314
% 72.41/72.57 New rule produced :
% 72.41/72.57 [448] composition(composition(zero,A),converse(zero)) join A -> A
% 72.41/72.57 Current number of equations to process: 4538
% 72.41/72.57 Current number of ordered equations: 0
% 72.41/72.57 Current number of rules: 315
% 72.41/72.57 New rule produced :
% 72.41/72.57 [449] converse(complement(composition(zero,converse(A)))) join A -> top
% 72.41/72.57 Current number of equations to process: 4567
% 72.41/72.57 Current number of ordered equations: 0
% 72.41/72.57 Current number of rules: 316
% 72.41/72.57 New rule produced :
% 72.41/72.57 [450] converse(composition(converse(zero),A)) join converse(A) -> converse(A)
% 82.20/82.38 Current number of equations to process: 4590
% 82.20/82.38 Current number of ordered equations: 0
% 82.20/82.38 Current number of rules: 317
% 82.20/82.38 New rule produced :
% 82.20/82.38 [451]
% 82.20/82.38 converse(complement(converse(composition(converse(zero),A)))) join A -> top
% 82.20/82.38 Current number of equations to process: 4588
% 82.20/82.38 Current number of ordered equations: 0
% 82.20/82.38 Current number of rules: 318
% 82.20/82.38 New rule produced :
% 82.20/82.38 [452]
% 82.20/82.38 composition(top,complement(composition(converse(zero),A))) join A -> top
% 82.20/82.38 Current number of equations to process: 4587
% 82.20/82.38 Current number of ordered equations: 0
% 82.20/82.38 Current number of rules: 319
% 82.20/82.38 New rule produced :
% 82.20/82.38 [453]
% 82.20/82.38 converse(complement(converse(composition(A,converse(zero))))) join A -> top
% 82.20/82.38 Current number of equations to process: 4585
% 82.20/82.38 Current number of ordered equations: 0
% 82.20/82.38 Current number of rules: 320
% 82.20/82.38 New rule produced :
% 82.20/82.38 [454]
% 82.20/82.38 composition(top,A) join composition(A,converse(zero)) -> composition(top,A)
% 82.20/82.38 Current number of equations to process: 4584
% 82.20/82.38 Current number of ordered equations: 0
% 82.20/82.38 Current number of rules: 321
% 82.20/82.38 New rule produced :
% 82.20/82.38 [455]
% 82.20/82.38 composition(top,complement(composition(A,converse(zero)))) join A -> top
% 82.20/82.38 Current number of equations to process: 4583
% 82.20/82.38 Current number of ordered equations: 0
% 82.20/82.38 Current number of rules: 322
% 82.20/82.38 New rule produced :
% 82.20/82.38 [456] composition(composition(converse(zero),A),converse(zero)) join A -> A
% 82.20/82.38 Current number of equations to process: 4580
% 82.20/82.38 Current number of ordered equations: 1
% 82.20/82.38 Current number of rules: 323
% 82.20/82.38 New rule produced :
% 82.20/82.38 [457] composition(converse(zero),composition(A,converse(zero))) join A -> A
% 82.20/82.38 Current number of equations to process: 4580
% 82.20/82.38 Current number of ordered equations: 0
% 82.20/82.38 Current number of rules: 324
% 82.20/82.38 New rule produced :
% 82.20/82.38 [458] converse(A) join complement(converse(composition(zero,A))) -> top
% 82.20/82.38 Current number of equations to process: 4588
% 82.20/82.38 Current number of ordered equations: 0
% 82.20/82.38 Current number of rules: 325
% 82.20/82.38 New rule produced :
% 82.20/82.38 [459]
% 82.20/82.38 complement(converse(complement(converse(composition(zero,A))))) join A -> A
% 82.20/82.38 Current number of equations to process: 4653
% 82.20/82.38 Current number of ordered equations: 0
% 82.20/82.38 Current number of rules: 326
% 82.20/82.38 New rule produced :
% 82.20/82.38 [460] complement(converse(composition(zero,converse(A)))) join A -> top
% 82.20/82.38 Current number of equations to process: 4656
% 82.20/82.38 Current number of ordered equations: 0
% 82.20/82.38 Current number of rules: 327
% 82.20/82.38 New rule produced :
% 82.20/82.38 [461] converse(complement(composition(zero,A))) join converse(A) -> top
% 82.20/82.38 Current number of equations to process: 4677
% 82.20/82.38 Current number of ordered equations: 0
% 82.20/82.38 Current number of rules: 328
% 82.20/82.38 New rule produced :
% 82.20/82.38 [462] complement(composition(zero,composition(zero,A))) join A -> top
% 82.20/82.38 Current number of equations to process: 4695
% 82.20/82.38 Current number of ordered equations: 0
% 82.20/82.38 Current number of rules: 329
% 82.20/82.38 New rule produced :
% 82.20/82.38 [463]
% 82.20/82.38 converse(A) join complement(converse(composition(A,converse(zero)))) -> top
% 82.20/82.38 Current number of equations to process: 4747
% 82.20/82.38 Current number of ordered equations: 0
% 82.20/82.38 Current number of rules: 330
% 82.20/82.38 New rule produced :
% 82.20/82.38 [464] complement(complement(composition(zero,A)) join B) join A -> A
% 82.20/82.38 Current number of equations to process: 4746
% 82.20/82.38 Current number of ordered equations: 0
% 82.20/82.38 Current number of rules: 331
% 82.20/82.38 New rule produced :
% 82.20/82.38 [465]
% 82.20/82.38 complement(composition(zero,composition(converse(zero),A))) join A -> top
% 82.20/82.38 Current number of equations to process: 4745
% 82.20/82.38 Current number of ordered equations: 0
% 82.20/82.38 Current number of rules: 332
% 82.20/82.38 New rule produced :
% 82.20/82.38 [466] one join complement(converse(composition(complement(one),top))) -> one
% 82.20/82.38 Current number of equations to process: 4896
% 82.20/82.38 Current number of ordered equations: 0
% 82.20/82.38 Current number of rules: 333
% 82.20/82.38 New rule produced :
% 82.20/82.38 [467]
% 82.20/82.38 composition(complement(A),converse(zero)) join A ->
% 82.20/82.38 converse(composition(zero,top)) join A
% 82.20/82.38 Current number of equations to process: 4945
% 82.20/82.38 Current number of ordered equations: 0
% 82.20/82.38 Current number of rules: 334
% 82.20/82.38 New rule produced :
% 82.20/82.38 [468]
% 82.20/82.38 converse(composition(zero,composition(zero,A))) join converse(A) ->
% 82.20/82.38 converse(A)
% 82.20/82.38 Current number of equations to process: 4944
% 82.20/82.38 Current number of ordered equations: 0
% 82.20/82.38 Current number of rules: 335
% 82.20/82.38 New rule produced :
% 82.20/82.38 [469]
% 82.20/82.38 composition(converse(A),composition(A,top)) -> converse(composition(top,A))
% 82.20/82.38 Current number of equations to process: 1505
% 82.20/82.38 Current number of ordered equations: 0
% 82.36/82.54 Current number of rules: 336
% 82.36/82.54 New rule produced :
% 82.36/82.54 [470] composition(composition(A,complement(one)),zero) -> composition(A,zero)
% 82.36/82.54 Current number of equations to process: 1513
% 82.36/82.54 Current number of ordered equations: 0
% 82.36/82.54 Current number of rules: 337
% 82.36/82.54 New rule produced :
% 82.36/82.54 [471] composition(complement(one),composition(zero,A)) -> composition(zero,A)
% 82.36/82.54 Current number of equations to process: 1512
% 82.36/82.54 Current number of ordered equations: 0
% 82.36/82.54 Current number of rules: 338
% 82.36/82.54 New rule produced : [472] complement(composition(A,zero)) -> top
% 82.36/82.54 Rule
% 82.36/82.54 [331] converse(complement(composition(A,zero))) join complement(one) -> top
% 82.36/82.54 collapsed.
% 82.36/82.54 Rule [390] complement(one) join complement(composition(A,zero)) -> top
% 82.36/82.54 collapsed.
% 82.36/82.54 Rule [443] converse(complement(composition(converse(A),zero))) join A -> top
% 82.36/82.54 collapsed.
% 82.36/82.54 Current number of equations to process: 1525
% 82.36/82.54 Current number of ordered equations: 0
% 82.36/82.54 Current number of rules: 336
% 82.36/82.54 Rule [335]
% 82.36/82.54 composition(composition(A,B),complement(converse(composition(top,B))))
% 82.36/82.54 -> composition(A,zero) is composed into [335]
% 82.36/82.54 composition(composition(A,B),
% 82.36/82.54 complement(converse(composition(top,B))))
% 82.36/82.54 -> zero
% 82.36/82.54 New rule produced : [473] composition(A,zero) -> zero
% 82.36/82.54 Rule [321] composition(complement(one),zero) -> zero collapsed.
% 82.36/82.54 Rule [322] composition(zero,zero) -> zero collapsed.
% 82.36/82.54 Rule [324] composition(A,zero) join composition(A,B) -> composition(A,B)
% 82.36/82.54 collapsed.
% 82.36/82.54 Rule
% 82.36/82.54 [351] converse(composition(A,zero)) join complement(one) -> complement(one)
% 82.36/82.54 collapsed.
% 82.36/82.54 Rule [398] composition(top,zero) -> zero collapsed.
% 82.36/82.54 Rule [435] composition(converse(zero),zero) -> zero collapsed.
% 82.36/82.54 Rule [436] converse(composition(converse(A),zero)) join A -> A collapsed.
% 82.36/82.54 Rule [438] converse(composition(A,zero)) join converse(A) -> converse(A)
% 82.36/82.54 collapsed.
% 82.36/82.54 Rule
% 82.36/82.54 [470] composition(composition(A,complement(one)),zero) -> composition(A,zero)
% 82.36/82.54 collapsed.
% 82.36/82.54 Rule [472] complement(composition(A,zero)) -> top collapsed.
% 82.36/82.54 Current number of equations to process: 1525
% 82.36/82.54 Current number of ordered equations: 0
% 82.36/82.54 Current number of rules: 327
% 82.36/82.54 New rule produced :
% 82.36/82.54 [474]
% 82.36/82.54 composition(converse(zero),composition(complement(one),A)) ->
% 82.36/82.54 composition(converse(zero),A)
% 82.36/82.54 Current number of equations to process: 1523
% 82.36/82.54 Current number of ordered equations: 0
% 82.36/82.54 Current number of rules: 328
% 82.36/82.54 New rule produced :
% 82.36/82.54 [475]
% 82.36/82.54 composition(composition(A,converse(zero)),complement(one)) ->
% 82.36/82.54 composition(A,converse(zero))
% 82.36/82.54 Current number of equations to process: 1522
% 82.36/82.54 Current number of ordered equations: 0
% 82.36/82.54 Current number of rules: 329
% 82.36/82.54 New rule produced :
% 82.36/82.54 [476] composition(complement(composition(complement(A),top)),top) join A -> A
% 82.36/82.54 Current number of equations to process: 1520
% 82.36/82.54 Current number of ordered equations: 0
% 82.36/82.54 Current number of rules: 330
% 82.36/82.54 New rule produced :
% 82.36/82.54 [477]
% 82.36/82.54 composition(converse(composition(A,top)),complement(composition(A,top))) ->
% 82.36/82.54 zero
% 82.36/82.54 Current number of equations to process: 1519
% 82.36/82.54 Current number of ordered equations: 0
% 82.36/82.54 Current number of rules: 331
% 82.36/82.54 New rule produced : [478] composition(converse(zero),A) -> converse(zero)
% 82.36/82.54 Rule [302] composition(converse(zero),A) join A -> A collapsed.
% 82.36/82.54 Rule [437] complement(composition(converse(zero),A)) join A -> top collapsed.
% 82.36/82.54 Rule [439] composition(converse(zero),composition(zero,A)) join A -> A
% 82.36/82.54 collapsed.
% 82.36/82.54 Rule [440] composition(zero,composition(converse(zero),A)) join A -> A
% 82.36/82.54 collapsed.
% 82.36/82.54 Rule [441] composition(converse(zero),complement(A)) join A -> A collapsed.
% 82.36/82.54 Rule [442] composition(converse(zero),A) join complement(A) -> complement(A)
% 82.36/82.54 collapsed.
% 82.36/82.54 Rule
% 82.36/82.54 [450] converse(composition(converse(zero),A)) join converse(A) -> converse(A)
% 82.36/82.54 collapsed.
% 82.36/82.54 Rule
% 82.36/82.54 [451]
% 82.36/82.54 converse(complement(converse(composition(converse(zero),A)))) join A -> top
% 82.36/82.54 collapsed.
% 82.36/82.54 Rule
% 82.36/82.54 [452]
% 82.36/82.54 composition(top,complement(composition(converse(zero),A))) join A -> top
% 82.36/82.54 collapsed.
% 82.36/82.54 Rule
% 82.36/82.54 [456] composition(composition(converse(zero),A),converse(zero)) join A -> A
% 82.36/82.54 collapsed.
% 82.36/82.54 Rule
% 82.36/82.54 [457] composition(converse(zero),composition(A,converse(zero))) join A -> A
% 82.36/82.54 collapsed.
% 82.36/82.54 Rule
% 82.36/82.54 [465]
% 82.36/82.54 complement(composition(zero,composition(converse(zero),A))) join A -> top
% 84.03/84.19 collapsed.
% 84.03/84.19 Rule
% 84.03/84.19 [474]
% 84.03/84.19 composition(converse(zero),composition(complement(one),A)) ->
% 84.03/84.19 composition(converse(zero),A) collapsed.
% 84.03/84.19 Current number of equations to process: 1517
% 84.03/84.19 Current number of ordered equations: 0
% 84.03/84.19 Current number of rules: 319
% 84.03/84.19 New rule produced :
% 84.03/84.19 [479]
% 84.03/84.19 composition(zero,complement(converse(A))) join complement(one) ->
% 84.03/84.19 complement(one)
% 84.03/84.19 Current number of equations to process: 1530
% 84.03/84.19 Current number of ordered equations: 0
% 84.03/84.19 Current number of rules: 320
% 84.03/84.19 New rule produced :
% 84.03/84.19 [480] composition(zero,complement(A)) join complement(one) -> complement(one)
% 84.03/84.19 Rule
% 84.03/84.19 [479]
% 84.03/84.19 composition(zero,complement(converse(A))) join complement(one) ->
% 84.03/84.19 complement(one) collapsed.
% 84.03/84.19 Current number of equations to process: 1535
% 84.03/84.19 Current number of ordered equations: 0
% 84.03/84.19 Current number of rules: 320
% 84.03/84.19 New rule produced :
% 84.03/84.19 [481] composition(A,B) join complement(composition(zero,B)) -> top
% 84.03/84.19 Current number of equations to process: 1536
% 84.03/84.19 Current number of ordered equations: 0
% 84.03/84.19 Current number of rules: 321
% 84.03/84.19 New rule produced :
% 84.03/84.19 [482] composition(zero,complement(composition(A,complement(B)))) join B -> B
% 84.03/84.19 Current number of equations to process: 1625
% 84.03/84.19 Current number of ordered equations: 0
% 84.03/84.19 Current number of rules: 322
% 84.03/84.19 New rule produced :
% 84.03/84.19 [483] composition(zero,complement(converse(composition(top,A)))) -> zero
% 84.03/84.19 Current number of equations to process: 1655
% 84.03/84.19 Current number of ordered equations: 0
% 84.03/84.19 Current number of rules: 323
% 84.03/84.19 New rule produced :
% 84.03/84.19 [484] composition(zero,A) join composition(B,top) -> composition(B,top)
% 84.03/84.19 Rule
% 84.03/84.19 [381]
% 84.03/84.19 composition(zero,composition(A,B)) join composition(A,top) ->
% 84.03/84.19 composition(A,top) collapsed.
% 84.03/84.19 Current number of equations to process: 1679
% 84.03/84.19 Current number of ordered equations: 0
% 84.03/84.19 Current number of rules: 323
% 84.03/84.19 New rule produced :
% 84.03/84.19 [485] composition(zero,complement(composition(A,top))) -> zero
% 84.03/84.19 Current number of equations to process: 1739
% 84.03/84.19 Current number of ordered equations: 0
% 84.03/84.19 Current number of rules: 324
% 84.03/84.19 New rule produced :
% 84.03/84.19 [486]
% 84.03/84.19 composition(zero,complement(composition(A,B))) join complement(B) ->
% 84.03/84.19 complement(B)
% 84.03/84.19 Current number of equations to process: 1733
% 84.03/84.19 Current number of ordered equations: 0
% 84.03/84.19 Current number of rules: 325
% 84.03/84.19 New rule produced :
% 84.03/84.19 [487]
% 84.03/84.19 converse(composition(top,A)) join composition(zero,top) ->
% 84.03/84.19 converse(composition(top,A))
% 84.03/84.19 Current number of equations to process: 1732
% 84.03/84.19 Current number of ordered equations: 0
% 84.03/84.19 Current number of rules: 326
% 84.03/84.19 New rule produced : [488] converse(zero) -> zero
% 84.03/84.19 Rule [303] composition(A,converse(zero)) join A -> A collapsed.
% 84.03/84.19 Rule
% 84.03/84.19 [315] converse(composition(A,converse(zero))) join converse(A) -> converse(A)
% 84.03/84.19 collapsed.
% 84.03/84.19 Rule [328] converse(zero) join A -> A collapsed.
% 84.03/84.19 Rule [383] complement(converse(zero)) -> top collapsed.
% 84.03/84.19 Rule
% 84.03/84.19 [392]
% 84.03/84.19 converse(complement(composition(A,converse(zero)))) join converse(A) -> top
% 84.03/84.19 collapsed.
% 84.03/84.19 Rule [444] composition(zero,converse(zero)) -> zero collapsed.
% 84.03/84.19 Rule [445] complement(composition(A,converse(zero))) join A -> top collapsed.
% 84.03/84.19 Rule [448] composition(composition(zero,A),converse(zero)) join A -> A
% 84.03/84.19 collapsed.
% 84.03/84.19 Rule
% 84.03/84.19 [453]
% 84.03/84.19 converse(complement(converse(composition(A,converse(zero))))) join A -> top
% 84.03/84.19 collapsed.
% 84.03/84.19 Rule
% 84.03/84.19 [454]
% 84.03/84.19 composition(top,A) join composition(A,converse(zero)) -> composition(top,A)
% 84.03/84.19 collapsed.
% 84.03/84.19 Rule
% 84.03/84.19 [455]
% 84.03/84.19 composition(top,complement(composition(A,converse(zero)))) join A -> top
% 84.03/84.19 collapsed.
% 84.03/84.19 Rule
% 84.03/84.19 [463]
% 84.03/84.19 converse(A) join complement(converse(composition(A,converse(zero)))) -> top
% 84.03/84.19 collapsed.
% 84.03/84.19 Rule
% 84.03/84.19 [467]
% 84.03/84.19 composition(complement(A),converse(zero)) join A ->
% 84.03/84.19 converse(composition(zero,top)) join A collapsed.
% 84.03/84.19 Rule
% 84.03/84.19 [475]
% 84.03/84.19 composition(composition(A,converse(zero)),complement(one)) ->
% 84.03/84.19 composition(A,converse(zero)) collapsed.
% 84.03/84.19 Rule [478] composition(converse(zero),A) -> converse(zero) collapsed.
% 84.03/84.19 Current number of equations to process: 1897
% 84.03/84.19 Current number of ordered equations: 0
% 84.03/84.19 Current number of rules: 312
% 84.03/84.19 Rule [336]
% 84.03/84.19 composition(B,composition(complement(converse(composition(top,B))),A))
% 84.03/84.19 -> composition(zero,A) is composed into [336]
% 84.03/84.19 composition(B,composition(
% 84.03/84.19 complement(
% 84.09/84.24 converse(composition(top,B))),A))
% 84.09/84.24 -> zero
% 84.09/84.24 New rule produced : [489] composition(zero,A) -> zero
% 84.09/84.24 Rule [182] composition(zero,A) join A -> A collapsed.
% 84.09/84.24 Rule [305] converse(complement(converse(composition(zero,A)))) join A -> top
% 84.09/84.24 collapsed.
% 84.09/84.24 Rule [306] complement(composition(zero,A)) join A -> top collapsed.
% 84.09/84.24 Rule [307] converse(composition(zero,A)) join converse(A) -> converse(A)
% 84.09/84.24 collapsed.
% 84.09/84.24 Rule [309] composition(zero,composition(zero,A)) join A -> A collapsed.
% 84.09/84.24 Rule
% 84.09/84.24 [316]
% 84.09/84.24 complement(composition(zero,A)) join complement(A) ->
% 84.09/84.24 complement(composition(zero,A)) collapsed.
% 84.09/84.24 Rule
% 84.09/84.24 [318]
% 84.09/84.24 complement(composition(zero,complement(A))) join A ->
% 84.09/84.24 complement(composition(zero,complement(A))) collapsed.
% 84.09/84.24 Rule [323] composition(zero,B) join composition(A,B) -> composition(A,B)
% 84.09/84.24 collapsed.
% 84.09/84.24 Rule
% 84.09/84.24 [332]
% 84.09/84.24 composition(zero,complement(A join B)) join complement(B) -> complement(B)
% 84.09/84.24 collapsed.
% 84.09/84.24 Rule
% 84.09/84.24 [333]
% 84.09/84.24 composition(composition(zero,A),B) join composition(A,B) -> composition(A,B)
% 84.09/84.24 collapsed.
% 84.09/84.24 Rule
% 84.09/84.24 [334]
% 84.09/84.24 composition(A,composition(zero,B)) join composition(A,B) -> composition(A,B)
% 84.09/84.24 collapsed.
% 84.09/84.24 Rule
% 84.09/84.24 [339]
% 84.09/84.24 complement(A join B) join complement(composition(zero,A)) ->
% 84.09/84.24 complement(composition(zero,A)) collapsed.
% 84.09/84.24 Rule
% 84.09/84.24 [361] complement(composition(zero,A) join B) join A -> complement(B) join A
% 84.09/84.24 collapsed.
% 84.09/84.24 Rule
% 84.09/84.24 [368]
% 84.09/84.24 converse(complement(converse(complement(A)))) join complement(composition(zero,A))
% 84.09/84.24 -> top collapsed.
% 84.09/84.24 Rule
% 84.09/84.24 [373] composition(zero,complement(A)) join A -> composition(zero,top) join A
% 84.09/84.24 collapsed.
% 84.09/84.24 Rule
% 84.09/84.24 [374]
% 84.09/84.24 composition(zero,top) join complement(A) <->
% 84.09/84.24 composition(zero,A) join complement(A) collapsed.
% 84.09/84.24 Rule
% 84.09/84.24 [375]
% 84.09/84.24 composition(zero,A) join complement(A) <->
% 84.09/84.24 composition(zero,top) join complement(A) collapsed.
% 84.09/84.24 Rule [407] composition(top,complement(composition(zero,A))) join A -> top
% 84.09/84.24 collapsed.
% 84.09/84.24 Rule
% 84.09/84.24 [428]
% 84.09/84.24 converse(composition(top,A)) join composition(zero,converse(A)) ->
% 84.09/84.24 converse(composition(top,A)) collapsed.
% 84.09/84.24 Rule [446] converse(composition(zero,converse(A))) join A -> A collapsed.
% 84.09/84.24 Rule
% 84.09/84.24 [447] converse(composition(zero,top)) join complement(one) -> complement(one)
% 84.09/84.24 collapsed.
% 84.09/84.24 Rule [449] converse(complement(composition(zero,converse(A)))) join A -> top
% 84.09/84.24 collapsed.
% 84.09/84.24 Rule [458] converse(A) join complement(converse(composition(zero,A))) -> top
% 84.09/84.24 collapsed.
% 84.09/84.24 Rule
% 84.09/84.24 [459]
% 84.09/84.24 complement(converse(complement(converse(composition(zero,A))))) join A -> A
% 84.09/84.24 collapsed.
% 84.09/84.24 Rule [460] complement(converse(composition(zero,converse(A)))) join A -> top
% 84.09/84.24 collapsed.
% 84.09/84.24 Rule [461] converse(complement(composition(zero,A))) join converse(A) -> top
% 84.09/84.24 collapsed.
% 84.09/84.24 Rule [462] complement(composition(zero,composition(zero,A))) join A -> top
% 84.09/84.24 collapsed.
% 84.09/84.24 Rule [464] complement(complement(composition(zero,A)) join B) join A -> A
% 84.09/84.24 collapsed.
% 84.09/84.24 Rule
% 84.09/84.24 [468]
% 84.09/84.24 converse(composition(zero,composition(zero,A))) join converse(A) ->
% 84.09/84.24 converse(A) collapsed.
% 84.09/84.24 Rule
% 84.09/84.24 [471] composition(complement(one),composition(zero,A)) -> composition(zero,A)
% 84.09/84.24 collapsed.
% 84.09/84.24 Rule
% 84.09/84.24 [480] composition(zero,complement(A)) join complement(one) -> complement(one)
% 84.09/84.24 collapsed.
% 84.09/84.24 Rule [481] composition(A,B) join complement(composition(zero,B)) -> top
% 84.09/84.24 collapsed.
% 84.09/84.24 Rule
% 84.09/84.24 [482] composition(zero,complement(composition(A,complement(B)))) join B -> B
% 84.09/84.24 collapsed.
% 84.09/84.24 Rule [483] composition(zero,complement(converse(composition(top,A)))) -> zero
% 84.09/84.24 collapsed.
% 84.09/84.24 Rule [484] composition(zero,A) join composition(B,top) -> composition(B,top)
% 84.09/84.24 collapsed.
% 84.09/84.24 Rule [485] composition(zero,complement(composition(A,top))) -> zero
% 84.09/84.24 collapsed.
% 84.09/84.24 Rule
% 84.09/84.24 [486]
% 84.09/84.24 composition(zero,complement(composition(A,B))) join complement(B) ->
% 84.09/84.24 complement(B) collapsed.
% 84.09/84.24 Rule
% 84.09/84.24 [487]
% 84.09/84.24 converse(composition(top,A)) join composition(zero,top) ->
% 84.09/84.24 converse(composition(top,A)) collapsed.
% 84.09/84.24 Current number of equations to process: 1896
% 84.09/84.24 Current number of ordered equations: 0
% 84.09/84.24 Current number of rules: 275
% 84.09/84.24 New rule produced :
% 84.09/84.24 [490]
% 84.09/84.24 composition(converse(composition(complement(one),top)),A) join A ->
% 84.09/84.24 composition(top,A)
% 84.09/84.24 Current number of equations to process: 1871
% 84.09/84.24 Current number of ordered equations: 0
% 84.09/84.24 Current number of rules: 276
% 84.09/84.24 New rule produced :
% 84.09/84.24 [491]
% 84.09/84.24 composition(A,converse(composition(complement(one),top))) join A ->
% 88.11/88.25 composition(A,top)
% 88.11/88.25 Current number of equations to process: 1870
% 88.11/88.25 Current number of ordered equations: 0
% 88.11/88.25 Current number of rules: 277
% 88.11/88.25 New rule produced :
% 88.11/88.25 [492]
% 88.11/88.25 one join complement(converse(composition(complement(one),top)) join A) -> one
% 88.11/88.25 Current number of equations to process: 1868
% 88.11/88.25 Current number of ordered equations: 1
% 88.11/88.25 Current number of rules: 278
% 88.11/88.25 New rule produced :
% 88.11/88.25 [493]
% 88.11/88.25 converse(composition(complement(one),top)) join complement(one) ->
% 88.11/88.25 converse(composition(complement(one),top))
% 88.11/88.25 Current number of equations to process: 1868
% 88.11/88.25 Current number of ordered equations: 0
% 88.11/88.25 Current number of rules: 279
% 88.11/88.25 New rule produced :
% 88.11/88.25 [494]
% 88.11/88.25 composition(composition(A,converse(B)),complement(composition(B,top))) ->
% 88.11/88.25 zero
% 88.11/88.25 Current number of equations to process: 1858
% 88.11/88.25 Current number of ordered equations: 0
% 88.11/88.25 Current number of rules: 280
% 88.11/88.25 New rule produced :
% 88.11/88.25 [495]
% 88.11/88.25 composition(converse(B),composition(complement(composition(B,top)),A)) ->
% 88.11/88.25 zero
% 88.11/88.25 Current number of equations to process: 1857
% 88.11/88.25 Current number of ordered equations: 0
% 88.11/88.25 Current number of rules: 281
% 88.11/88.25 New rule produced :
% 88.11/88.25 [496]
% 88.11/88.25 composition(composition(A,B),converse(composition(top,B))) ->
% 88.11/88.25 composition(composition(A,B),top)
% 88.11/88.25 Current number of equations to process: 1906
% 88.11/88.25 Current number of ordered equations: 0
% 88.11/88.25 Current number of rules: 282
% 88.11/88.25 New rule produced :
% 88.11/88.25 [497]
% 88.11/88.25 composition(composition(A,top),complement(composition(composition(top,A),top)))
% 88.11/88.25 -> zero
% 88.11/88.25 Current number of equations to process: 1956
% 88.11/88.25 Current number of ordered equations: 0
% 88.11/88.25 Current number of rules: 283
% 88.11/88.25 New rule produced :
% 88.11/88.25 [498]
% 88.11/88.25 converse(composition(top,A)) join complement(converse(complement(A))) ->
% 88.11/88.25 converse(composition(top,A))
% 88.11/88.25 Current number of equations to process: 2092
% 88.11/88.25 Current number of ordered equations: 0
% 88.11/88.25 Current number of rules: 284
% 88.11/88.25 New rule produced :
% 88.11/88.25 [499]
% 88.11/88.25 composition(converse(complement(composition(B,top))),composition(B,A)) ->
% 88.11/88.25 zero
% 88.11/88.25 Current number of equations to process: 2075
% 88.11/88.25 Current number of ordered equations: 0
% 88.11/88.25 Current number of rules: 285
% 88.11/88.25 New rule produced :
% 88.11/88.25 [500]
% 88.11/88.25 composition(converse(composition(B,A)),complement(composition(B,top))) ->
% 88.11/88.25 zero
% 88.11/88.25 Rule
% 88.11/88.25 [477]
% 88.11/88.25 composition(converse(composition(A,top)),complement(composition(A,top))) ->
% 88.11/88.25 zero collapsed.
% 88.11/88.25 Current number of equations to process: 2074
% 88.11/88.25 Current number of ordered equations: 0
% 88.11/88.25 Current number of rules: 285
% 88.11/88.25 New rule produced :
% 88.11/88.25 [501]
% 88.11/88.25 composition(converse(composition(top,A)),composition(top,B)) ->
% 88.11/88.25 composition(converse(composition(top,A)),B)
% 88.11/88.25 Current number of equations to process: 2229
% 88.11/88.25 Current number of ordered equations: 0
% 88.11/88.25 Current number of rules: 286
% 88.11/88.25 New rule produced :
% 88.11/88.25 [502]
% 88.11/88.25 composition(converse(A),complement(one)) ->
% 88.11/88.25 converse(composition(complement(one),A))
% 88.11/88.25 Current number of equations to process: 2469
% 88.11/88.25 Current number of ordered equations: 0
% 88.11/88.25 Current number of rules: 287
% 88.11/88.25 New rule produced :
% 88.11/88.25 [503]
% 88.11/88.25 composition(complement(one),converse(A)) ->
% 88.11/88.25 converse(composition(A,complement(one)))
% 88.11/88.25 Rule
% 88.11/88.25 [416]
% 88.11/88.25 converse(composition(complement(one),converse(A))) join A ->
% 88.11/88.25 composition(A,top) collapsed.
% 88.11/88.25 Current number of equations to process: 2468
% 88.11/88.25 Current number of ordered equations: 0
% 88.11/88.25 Current number of rules: 287
% 88.11/88.25 New rule produced :
% 88.11/88.25 [504]
% 88.11/88.25 converse(composition(top,complement(one))) ->
% 88.11/88.25 composition(complement(one),top)
% 88.11/88.25 Rule
% 88.11/88.25 [340]
% 88.11/88.25 composition(top,complement(converse(composition(top,complement(one))))) ->
% 88.11/88.25 complement(converse(composition(top,complement(one)))) collapsed.
% 88.11/88.25 Current number of equations to process: 2500
% 88.11/88.25 Current number of ordered equations: 0
% 88.11/88.25 Current number of rules: 287
% 88.11/88.25 New rule produced :
% 88.11/88.25 [505]
% 88.11/88.25 composition(complement(one),complement(composition(complement(one),top))) ->
% 88.11/88.25 zero
% 88.11/88.25 Current number of equations to process: 2506
% 88.11/88.25 Current number of ordered equations: 0
% 88.11/88.25 Current number of rules: 288
% 88.11/88.25 New rule produced : [506] composition(A,top) join complement(A) -> top
% 88.11/88.25 Current number of equations to process: 2555
% 88.11/88.25 Current number of ordered equations: 0
% 88.11/88.25 Current number of rules: 289
% 88.11/88.25 New rule produced :
% 88.11/88.25 [507]
% 88.11/88.25 composition(composition(top,complement(one)),top) ->
% 88.11/88.25 composition(top,complement(one))
% 88.11/88.25 Current number of equations to process: 2591
% 88.11/88.25 Current number of ordered equations: 0
% 89.10/89.29 Current number of rules: 290
% 89.10/89.29 New rule produced :
% 89.10/89.29 [508] composition(top,complement(one)) <-> composition(complement(one),top)
% 89.10/89.29 Current number of equations to process: 2641
% 89.10/89.29 Current number of ordered equations: 1
% 89.10/89.29 Current number of rules: 291
% 89.10/89.29 New rule produced :
% 89.10/89.29 [509] composition(complement(one),top) <-> composition(top,complement(one))
% 89.10/89.29 Current number of equations to process: 2641
% 89.10/89.29 Current number of ordered equations: 0
% 89.10/89.29 Current number of rules: 292
% 89.10/89.29 New rule produced :
% 89.10/89.29 [510] complement(composition(A,top)) join complement(A) -> complement(A)
% 89.10/89.29 Current number of equations to process: 2719
% 89.10/89.29 Current number of ordered equations: 0
% 89.10/89.29 Current number of rules: 293
% 89.10/89.29 New rule produced :
% 89.10/89.29 [511] composition(top,A) join composition(complement(A),top) -> top
% 89.10/89.29 Current number of equations to process: 2793
% 89.10/89.29 Current number of ordered equations: 1
% 89.10/89.29 Current number of rules: 294
% 89.10/89.29 New rule produced :
% 89.10/89.29 [512] composition(composition(top,A),top) join complement(A) -> top
% 89.10/89.29 Current number of equations to process: 2793
% 89.10/89.29 Current number of ordered equations: 0
% 89.10/89.29 Current number of rules: 295
% 89.10/89.29 New rule produced :
% 89.10/89.29 [513] composition(composition(top,complement(A)),top) join A -> top
% 89.10/89.29 Current number of equations to process: 2791
% 89.10/89.29 Current number of ordered equations: 1
% 89.10/89.29 Current number of rules: 296
% 89.10/89.29 New rule produced :
% 89.10/89.29 [514] composition(top,complement(A)) join composition(A,top) -> top
% 89.10/89.29 Current number of equations to process: 2791
% 89.10/89.29 Current number of ordered equations: 0
% 89.10/89.29 Current number of rules: 297
% 89.10/89.29 New rule produced :
% 89.10/89.29 [515]
% 89.10/89.29 composition(top,complement(composition(complement(one),top))) ->
% 89.10/89.29 complement(composition(complement(one),top))
% 89.10/89.29 Current number of equations to process: 2812
% 89.10/89.29 Current number of ordered equations: 0
% 89.10/89.29 Current number of rules: 298
% 89.10/89.29 New rule produced :
% 89.10/89.29 [516]
% 89.10/89.29 composition(composition(A,complement(one)),top) join A -> composition(A,top)
% 89.10/89.29 Current number of equations to process: 2811
% 89.10/89.29 Current number of ordered equations: 0
% 89.10/89.29 Current number of rules: 299
% 89.10/89.29 New rule produced :
% 89.10/89.29 [517]
% 89.10/89.29 composition(composition(top,A),top) join A ->
% 89.10/89.29 composition(composition(top,A),top)
% 89.10/89.29 Current number of equations to process: 2810
% 89.10/89.29 Current number of ordered equations: 0
% 89.10/89.29 Current number of rules: 300
% 89.10/89.29 New rule produced :
% 89.10/89.29 [518]
% 89.10/89.29 composition(A,converse(composition(complement(one),top))) <->
% 89.10/89.29 composition(composition(A,top),complement(one))
% 89.10/89.29 Current number of equations to process: 2808
% 89.10/89.29 Current number of ordered equations: 1
% 89.10/89.29 Current number of rules: 301
% 89.10/89.29 New rule produced :
% 89.10/89.29 [519]
% 89.10/89.29 composition(composition(A,top),complement(one)) <->
% 89.10/89.29 composition(A,converse(composition(complement(one),top)))
% 89.10/89.29 Current number of equations to process: 2808
% 89.10/89.29 Current number of ordered equations: 0
% 89.10/89.29 Current number of rules: 302
% 89.10/89.29 New rule produced :
% 89.10/89.29 [520]
% 89.10/89.29 composition(top,composition(complement(one),A)) <->
% 89.10/89.29 composition(converse(composition(complement(one),top)),A)
% 89.10/89.29 Current number of equations to process: 2806
% 89.10/89.29 Current number of ordered equations: 1
% 89.10/89.29 Current number of rules: 303
% 89.10/89.29 New rule produced :
% 89.10/89.29 [521]
% 89.10/89.29 composition(converse(composition(complement(one),top)),A) <->
% 89.10/89.29 composition(top,composition(complement(one),A))
% 89.10/89.29 Current number of equations to process: 2806
% 89.10/89.29 Current number of ordered equations: 0
% 89.10/89.29 Current number of rules: 304
% 89.10/89.29 New rule produced :
% 89.10/89.29 [522]
% 89.10/89.29 converse(composition(A,complement(one))) join converse(A) ->
% 89.10/89.29 converse(composition(A,top))
% 89.10/89.29 Current number of equations to process: 2805
% 89.10/89.29 Current number of ordered equations: 0
% 89.10/89.29 Current number of rules: 305
% 89.10/89.29 New rule produced :
% 89.10/89.29 [523]
% 89.10/89.29 complement(composition(A,complement(one))) join A ->
% 89.10/89.29 complement(composition(A,top)) join A
% 89.10/89.29 Current number of equations to process: 2804
% 89.10/89.29 Current number of ordered equations: 0
% 89.10/89.29 Current number of rules: 306
% 89.10/89.29 New rule produced :
% 89.10/89.29 [524]
% 89.10/89.29 complement(composition(A,top) join B) join complement(A) -> complement(A)
% 89.10/89.29 Current number of equations to process: 2803
% 89.10/89.29 Current number of ordered equations: 0
% 89.10/89.29 Current number of rules: 307
% 89.10/89.29 New rule produced :
% 89.10/89.29 [525]
% 89.10/89.29 composition(converse(A),composition(complement(one),B)) <->
% 89.10/89.29 composition(converse(composition(complement(one),A)),B)
% 89.10/89.29 Current number of equations to process: 2802
% 89.10/89.29 Current number of ordered equations: 1
% 89.10/89.29 Current number of rules: 308
% 89.10/89.29 New rule produced :
% 89.25/89.43 [526]
% 89.25/89.43 composition(converse(composition(complement(one),A)),B) <->
% 89.25/89.43 composition(converse(A),composition(complement(one),B))
% 89.25/89.43 Current number of equations to process: 2802
% 89.25/89.43 Current number of ordered equations: 0
% 89.25/89.43 Current number of rules: 309
% 89.25/89.43 New rule produced :
% 89.25/89.43 [527]
% 89.25/89.43 composition(composition(A,complement(one)),converse(B)) <->
% 89.25/89.43 composition(A,converse(composition(B,complement(one))))
% 89.25/89.43 Current number of equations to process: 2800
% 89.25/89.43 Current number of ordered equations: 3
% 89.25/89.43 Current number of rules: 310
% 89.25/89.43 New rule produced :
% 89.25/89.43 [528]
% 89.25/89.43 composition(A,converse(composition(complement(one),B))) <->
% 89.25/89.43 composition(composition(A,converse(B)),complement(one))
% 89.25/89.43 Current number of equations to process: 2800
% 89.25/89.43 Current number of ordered equations: 2
% 89.25/89.43 Current number of rules: 311
% 89.25/89.43 New rule produced :
% 89.25/89.43 [529]
% 89.25/89.43 composition(A,converse(composition(B,complement(one)))) <->
% 89.25/89.43 composition(composition(A,complement(one)),converse(B))
% 89.25/89.43 Current number of equations to process: 2800
% 89.25/89.43 Current number of ordered equations: 1
% 89.25/89.43 Current number of rules: 312
% 89.25/89.43 New rule produced :
% 89.25/89.43 [530]
% 89.25/89.43 composition(composition(A,converse(B)),complement(one)) <->
% 89.25/89.43 composition(A,converse(composition(complement(one),B)))
% 89.25/89.43 Current number of equations to process: 2800
% 89.25/89.43 Current number of ordered equations: 0
% 89.25/89.43 Current number of rules: 313
% 89.25/89.43 New rule produced :
% 89.25/89.43 [531]
% 89.25/89.43 composition(complement(one),composition(converse(A),B)) <->
% 89.25/89.43 composition(converse(composition(A,complement(one))),B)
% 89.25/89.43 Current number of equations to process: 2797
% 89.25/89.43 Current number of ordered equations: 1
% 89.25/89.43 Current number of rules: 314
% 89.25/89.43 New rule produced :
% 89.25/89.43 [532]
% 89.25/89.43 composition(converse(composition(A,complement(one))),B) <->
% 89.25/89.43 composition(complement(one),composition(converse(A),B))
% 89.25/89.43 Current number of equations to process: 2797
% 89.25/89.43 Current number of ordered equations: 0
% 89.25/89.43 Current number of rules: 315
% 89.25/89.43 New rule produced :
% 89.25/89.43 [533]
% 89.25/89.43 one join composition(A,complement(converse(composition(complement(one),A))))
% 89.25/89.43 -> one
% 89.25/89.43 Current number of equations to process: 2795
% 89.25/89.43 Current number of ordered equations: 0
% 89.25/89.43 Current number of rules: 316
% 89.25/89.43 New rule produced :
% 89.25/89.43 [534]
% 89.25/89.43 converse(composition(composition(A,top),complement(one))) <->
% 89.25/89.43 composition(composition(complement(one),top),converse(A))
% 89.25/89.43 Current number of equations to process: 2794
% 89.25/89.43 Current number of ordered equations: 1
% 89.25/89.43 Current number of rules: 317
% 89.25/89.43 New rule produced :
% 89.25/89.43 [535]
% 89.25/89.43 composition(composition(complement(one),top),converse(A)) <->
% 89.25/89.43 converse(composition(composition(A,top),complement(one)))
% 89.25/89.43 Current number of equations to process: 2794
% 89.25/89.43 Current number of ordered equations: 0
% 89.25/89.43 Current number of rules: 318
% 89.25/89.43 New rule produced :
% 89.25/89.43 [536]
% 89.25/89.43 converse(composition(complement(one),composition(top,A))) <->
% 89.25/89.43 composition(converse(A),composition(top,complement(one)))
% 89.25/89.43 Current number of equations to process: 2793
% 89.25/89.43 Current number of ordered equations: 1
% 89.25/89.43 Current number of rules: 319
% 89.25/89.43 New rule produced :
% 89.25/89.43 [537]
% 89.25/89.43 composition(converse(A),composition(top,complement(one))) <->
% 89.25/89.43 converse(composition(complement(one),composition(top,A)))
% 89.25/89.43 Current number of equations to process: 2793
% 89.25/89.43 Current number of ordered equations: 0
% 89.25/89.43 Current number of rules: 320
% 89.25/89.43 New rule produced :
% 89.25/89.43 [538]
% 89.25/89.43 converse(complement(converse(A))) join composition(composition(top,A),top) ->
% 89.25/89.43 top
% 89.25/89.43 Current number of equations to process: 2792
% 89.25/89.43 Current number of ordered equations: 0
% 89.25/89.43 Current number of rules: 321
% 89.25/89.43 New rule produced :
% 89.25/89.43 [539]
% 89.25/89.43 composition(top,A) join composition(complement(composition(B,A)),top) -> top
% 89.25/89.43 Current number of equations to process: 2790
% 89.25/89.43 Current number of ordered equations: 1
% 89.25/89.43 Current number of rules: 322
% 89.25/89.43 New rule produced :
% 89.25/89.43 [540]
% 89.25/89.43 composition(composition(top,A),top) join complement(composition(B,A)) -> top
% 89.25/89.43 Current number of equations to process: 2790
% 89.25/89.43 Current number of ordered equations: 0
% 89.25/89.43 Current number of rules: 323
% 89.25/89.43 New rule produced :
% 89.25/89.43 [541]
% 89.25/89.43 converse(complement(converse(complement(composition(A,top))))) join complement(A)
% 89.25/89.43 -> top
% 89.25/89.43 Current number of equations to process: 2789
% 89.25/89.43 Current number of ordered equations: 0
% 89.25/89.43 Current number of rules: 324
% 89.25/89.43 New rule produced :
% 89.25/89.43 [542]
% 89.25/89.43 converse(composition(A,top)) join composition(complement(converse(A)),top) ->
% 89.25/89.43 top
% 89.25/89.43 Current number of equations to process: 2784
% 89.25/89.43 Current number of ordered equations: 0
% 96.50/96.65 Current number of rules: 325
% 96.50/96.65 New rule produced :
% 96.50/96.65 [543]
% 96.50/96.65 converse(composition(composition(complement(one),top),converse(A))) <->
% 96.50/96.65 composition(composition(A,top),complement(one))
% 96.50/96.65 Current number of equations to process: 2781
% 96.50/96.65 Current number of ordered equations: 1
% 96.50/96.65 Current number of rules: 326
% 96.50/96.65 New rule produced :
% 96.50/96.65 [544]
% 96.50/96.65 composition(composition(A,top),complement(one)) <->
% 96.50/96.65 converse(composition(composition(complement(one),top),converse(A)))
% 96.50/96.65 Current number of equations to process: 2781
% 96.50/96.65 Current number of ordered equations: 0
% 96.50/96.65 Current number of rules: 327
% 96.50/96.65 New rule produced :
% 96.50/96.65 [545]
% 96.50/96.65 converse(composition(converse(A),composition(top,complement(one)))) <->
% 96.50/96.65 composition(complement(one),composition(top,A))
% 96.50/96.65 Current number of equations to process: 2780
% 96.50/96.65 Current number of ordered equations: 1
% 96.50/96.65 Current number of rules: 328
% 96.50/96.65 New rule produced :
% 96.50/96.65 [546]
% 96.50/96.65 composition(complement(one),composition(top,A)) <->
% 96.50/96.65 converse(composition(converse(A),composition(top,complement(one))))
% 96.50/96.65 Current number of equations to process: 2780
% 96.50/96.65 Current number of ordered equations: 0
% 96.50/96.65 Current number of rules: 329
% 96.50/96.65 New rule produced :
% 96.50/96.65 [547]
% 96.50/96.65 composition(top,complement(one)) join composition(A,top) ->
% 96.50/96.65 composition(top,complement(one)) join A
% 96.50/96.65 Current number of equations to process: 2778
% 96.50/96.65 Current number of ordered equations: 0
% 96.50/96.65 Current number of rules: 330
% 96.50/96.65 New rule produced :
% 96.50/96.65 [548]
% 96.50/96.65 composition(A,top) join complement(A join B) ->
% 96.50/96.65 composition(A,top) join complement(B)
% 96.50/96.65 Current number of equations to process: 2777
% 96.50/96.65 Current number of ordered equations: 0
% 96.50/96.65 Current number of rules: 331
% 96.50/96.65 New rule produced :
% 96.50/96.65 [549]
% 96.50/96.65 composition(complement(A),top) join complement(A join B) ->
% 96.50/96.65 composition(complement(A),top)
% 96.50/96.65 Current number of equations to process: 2775
% 96.50/96.65 Current number of ordered equations: 0
% 96.50/96.65 Current number of rules: 332
% 96.50/96.65 New rule produced :
% 96.50/96.65 [550] complement(composition(complement(A),top)) join A -> A
% 96.50/96.65 Current number of equations to process: 3539
% 96.50/96.65 Current number of ordered equations: 0
% 96.50/96.65 Current number of rules: 333
% 96.50/96.65 New rule produced :
% 96.50/96.65 [551] complement(composition(complement(A),top) join B) join A -> A
% 96.50/96.65 Current number of equations to process: 3562
% 96.50/96.65 Current number of ordered equations: 0
% 96.50/96.65 Current number of rules: 334
% 96.50/96.65 New rule produced : [552] converse(complement(converse(complement(A)))) -> A
% 96.50/96.65 Rule
% 96.50/96.65 [214]
% 96.50/96.65 converse(complement(converse(complement(A join B)))) join complement(B) ->
% 96.50/96.65 top collapsed.
% 96.50/96.65 Rule
% 96.50/96.65 [363]
% 96.50/96.65 converse(complement(converse(complement(complement(A) join B)))) join A ->
% 96.50/96.65 top collapsed.
% 96.50/96.65 Rule
% 96.50/96.65 [367]
% 96.50/96.65 converse(complement(converse(complement(composition(top,A))))) join complement(A)
% 96.50/96.65 -> top collapsed.
% 96.50/96.65 Rule
% 96.50/96.65 [384]
% 96.50/96.65 converse(complement(converse(complement(A)))) join A ->
% 96.50/96.65 converse(complement(converse(complement(A)))) collapsed.
% 96.50/96.65 Rule
% 96.50/96.65 [541]
% 96.50/96.65 converse(complement(converse(complement(composition(A,top))))) join complement(A)
% 96.50/96.65 -> top collapsed.
% 96.50/96.65 Current number of equations to process: 3580
% 96.50/96.65 Current number of ordered equations: 0
% 96.50/96.65 Current number of rules: 330
% 96.50/96.65 New rule produced : [553] converse(complement(converse(A))) -> complement(A)
% 96.50/96.65 Rule [57] converse(complement(converse(A))) join A -> top collapsed.
% 96.50/96.65 Rule
% 96.50/96.65 [157]
% 96.50/96.65 converse(complement(converse(composition(A,B)))) join composition(top,B) ->
% 96.50/96.65 top collapsed.
% 96.50/96.65 Rule
% 96.50/96.65 [226]
% 96.50/96.65 composition(converse(complement(converse(B))),A) join composition(B,A) ->
% 96.50/96.65 composition(top,A) collapsed.
% 96.50/96.65 Rule
% 96.50/96.65 [229]
% 96.50/96.65 converse(complement(converse(composition(converse(A),complement(A))))) join
% 96.50/96.65 complement(one) -> top collapsed.
% 96.50/96.65 Rule
% 96.50/96.65 [232]
% 96.50/96.65 converse(complement(converse(composition(A,complement(converse(A)))))) join
% 96.50/96.65 complement(one) -> top collapsed.
% 96.50/96.65 Rule
% 96.50/96.65 [238]
% 96.50/96.65 composition(A,converse(complement(converse(B)))) join composition(A,B) ->
% 96.50/96.65 composition(A,top) collapsed.
% 96.50/96.65 Rule [273] converse(complement(converse(A))) join composition(top,A) -> top
% 96.50/96.65 collapsed.
% 96.50/96.65 Rule
% 96.50/96.65 [291]
% 96.50/96.65 converse(complement(converse(composition(A,B)))) join composition(A,top) ->
% 96.50/96.65 top collapsed.
% 96.50/96.65 Rule [356] complement(converse(complement(converse(A)))) join A -> A
% 96.50/96.65 collapsed.
% 96.50/96.65 Rule
% 96.50/96.65 [357]
% 96.50/96.65 converse(complement(converse(A))) join complement(A) ->
% 96.50/96.65 converse(complement(converse(A))) collapsed.
% 96.50/96.65 Rule [358] complement(converse(complement(converse(A))) join B) join A -> A
% 96.50/96.65 collapsed.
% 96.50/96.65 Rule
% 96.50/96.65 [364]
% 105.03/105.15 converse(complement(converse(A))) join complement(A join B) ->
% 105.03/105.15 converse(complement(converse(A))) collapsed.
% 105.03/105.15 Rule
% 105.03/105.15 [419]
% 105.03/105.15 composition(top,A) join complement(converse(complement(converse(A)))) ->
% 105.03/105.15 composition(top,A) collapsed.
% 105.03/105.15 Rule
% 105.03/105.15 [427]
% 105.03/105.15 converse(complement(converse(A))) join complement(composition(top,A)) ->
% 105.03/105.15 converse(complement(converse(A))) collapsed.
% 105.03/105.15 Rule [430] converse(complement(converse(A))) join composition(A,top) -> top
% 105.03/105.15 collapsed.
% 105.03/105.15 Rule
% 105.03/105.15 [538]
% 105.03/105.15 converse(complement(converse(A))) join composition(composition(top,A),top) ->
% 105.03/105.15 top collapsed.
% 105.03/105.15 Rule [552] converse(complement(converse(complement(A)))) -> A collapsed.
% 105.03/105.15 Current number of equations to process: 3703
% 105.03/105.15 Current number of ordered equations: 0
% 105.03/105.15 Current number of rules: 314
% 105.03/105.15 New rule produced :
% 105.03/105.15 [554]
% 105.03/105.15 converse(complement(complement(A) join B)) join converse(A) -> converse(A)
% 105.03/105.15 Current number of equations to process: 3804
% 105.03/105.15 Current number of ordered equations: 0
% 105.03/105.15 Current number of rules: 315
% 105.03/105.15 New rule produced :
% 105.03/105.15 [555]
% 105.03/105.15 converse(composition(composition(top,A),top)) join converse(complement(A)) ->
% 105.03/105.15 top
% 105.03/105.15 Current number of equations to process: 3809
% 105.03/105.15 Current number of ordered equations: 0
% 105.03/105.15 Current number of rules: 316
% 105.03/105.15 New rule produced :
% 105.03/105.15 [556]
% 105.03/105.15 composition(A,top) join complement(complement(A) join B) ->
% 105.03/105.15 composition(A,top)
% 105.03/105.15 Current number of equations to process: 3807
% 105.03/105.15 Current number of ordered equations: 0
% 105.03/105.15 Current number of rules: 317
% 105.03/105.15 New rule produced :
% 105.03/105.15 [557] converse(complement(converse(complement(A)) join B)) join A -> A
% 105.03/105.15 Current number of equations to process: 3816
% 105.03/105.15 Current number of ordered equations: 0
% 105.03/105.15 Current number of rules: 318
% 105.03/105.15 New rule produced :
% 105.03/105.15 [558]
% 105.03/105.15 converse(A) join complement(converse(composition(top,complement(A)))) ->
% 105.03/105.15 converse(A)
% 105.03/105.15 Current number of equations to process: 3921
% 105.03/105.15 Current number of ordered equations: 0
% 105.03/105.15 Current number of rules: 319
% 105.03/105.15 New rule produced :
% 105.03/105.15 [559]
% 105.03/105.15 converse(complement(converse(A) join B)) join complement(A) -> complement(A)
% 105.03/105.15 Current number of equations to process: 4102
% 105.03/105.15 Current number of ordered equations: 0
% 105.03/105.15 Current number of rules: 320
% 105.03/105.15 New rule produced :
% 105.03/105.15 [560]
% 105.03/105.15 converse(complement(A)) join complement(converse(composition(A,top))) ->
% 105.03/105.15 converse(complement(A))
% 105.03/105.15 Current number of equations to process: 4235
% 105.03/105.15 Current number of ordered equations: 0
% 105.03/105.15 Current number of rules: 321
% 105.03/105.15 New rule produced :
% 105.03/105.15 [561]
% 105.03/105.15 converse(composition(A,top)) join complement(converse(complement(A))) ->
% 105.03/105.15 converse(composition(A,top))
% 105.03/105.15 Current number of equations to process: 4234
% 105.03/105.15 Current number of ordered equations: 0
% 105.03/105.15 Current number of rules: 322
% 105.03/105.15 New rule produced :
% 105.03/105.15 [562]
% 105.03/105.15 converse(complement(converse(A) join B)) join A ->
% 105.03/105.15 converse(complement(B)) join A
% 105.03/105.15 Rule
% 105.03/105.15 [225] converse(complement(converse(A) join converse(B))) join A join B -> top
% 105.03/105.15 collapsed.
% 105.03/105.15 Rule [391] one join converse(complement(one join converse(A))) join A -> top
% 105.03/105.15 collapsed.
% 105.03/105.15 Current number of equations to process: 4446
% 105.03/105.15 Current number of ordered equations: 0
% 105.03/105.15 Current number of rules: 321
% 105.03/105.15 New rule produced :
% 105.03/105.15 [563]
% 105.03/105.15 one join converse(complement(one join A)) -> one join converse(complement(A))
% 105.03/105.15 Current number of equations to process: 4528
% 105.03/105.15 Current number of ordered equations: 0
% 105.03/105.15 Current number of rules: 322
% 105.03/105.15 New rule produced :
% 105.03/105.15 [564]
% 105.03/105.15 converse(complement(composition(top,complement(A)))) join converse(A) ->
% 105.03/105.15 converse(A)
% 105.03/105.15 Current number of equations to process: 4675
% 105.03/105.15 Current number of ordered equations: 0
% 105.03/105.15 Current number of rules: 323
% 105.03/105.15 New rule produced :
% 105.03/105.15 [565]
% 105.03/105.15 converse(complement(composition(top,A))) join converse(complement(A)) ->
% 105.03/105.15 converse(complement(A))
% 105.03/105.15 Current number of equations to process: 4688
% 105.03/105.15 Current number of ordered equations: 0
% 105.03/105.15 Current number of rules: 324
% 105.03/105.15 New rule produced :
% 105.03/105.15 [566]
% 105.03/105.15 one join complement(converse(complement(complement(one) join A))) -> top
% 105.03/105.15 Current number of equations to process: 4843
% 105.03/105.15 Current number of ordered equations: 0
% 105.03/105.15 Current number of rules: 325
% 105.03/105.15 New rule produced :
% 105.03/105.15 [567]
% 105.03/105.15 converse(A) join complement(converse(complement(complement(A) join B))) ->
% 105.03/105.15 top
% 105.03/105.15 Current number of equations to process: 4866
% 105.03/105.15 Current number of ordered equations: 0
% 105.03/105.15 Current number of rules: 326
% 105.03/105.15 New rule produced :
% 105.03/105.15 [568]
% 105.03/105.15 converse(complement(A)) join complement(converse(complement(composition(top,A))))
% 109.21/109.32 -> top
% 109.21/109.32 Current number of equations to process: 4947
% 109.21/109.32 Current number of ordered equations: 0
% 109.21/109.32 Current number of rules: 327
% 109.21/109.32 New rule produced :
% 109.21/109.32 [569]
% 109.21/109.32 complement(one) join complement(converse(complement(one join A))) -> top
% 109.21/109.32 Current number of equations to process: 1732
% 109.21/109.32 Current number of ordered equations: 0
% 109.21/109.32 Current number of rules: 328
% 109.21/109.32 New rule produced :
% 109.21/109.32 [570]
% 109.21/109.32 converse(complement(A)) join complement(converse(complement(composition(A,top))))
% 109.21/109.32 -> top
% 109.21/109.32 Current number of equations to process: 1731
% 109.21/109.32 Current number of ordered equations: 0
% 109.21/109.32 Current number of rules: 329
% 109.21/109.32 New rule produced :
% 109.21/109.32 [571]
% 109.21/109.32 complement(converse(complement(converse(A) join B))) join complement(A) ->
% 109.21/109.32 top
% 109.21/109.32 Current number of equations to process: 1801
% 109.21/109.32 Current number of ordered equations: 0
% 109.21/109.32 Current number of rules: 330
% 109.21/109.32 New rule produced :
% 109.21/109.32 [572]
% 109.21/109.32 complement(converse(complement(converse(complement(A)) join B))) join A ->
% 109.21/109.32 top
% 109.21/109.32 Current number of equations to process: 1800
% 109.21/109.32 Current number of ordered equations: 0
% 109.21/109.32 Current number of rules: 331
% 109.21/109.32 New rule produced :
% 109.21/109.32 [573]
% 109.21/109.32 complement(composition(composition(top,A),top)) join complement(A) ->
% 109.21/109.32 complement(A)
% 109.21/109.32 Current number of equations to process: 1942
% 109.21/109.32 Current number of ordered equations: 0
% 109.21/109.32 Current number of rules: 332
% 109.21/109.32 New rule produced :
% 109.21/109.32 [574]
% 109.21/109.32 composition(A,top) join complement(composition(composition(A,B),C)) -> top
% 109.21/109.32 Current number of equations to process: 2080
% 109.21/109.32 Current number of ordered equations: 0
% 109.21/109.32 Current number of rules: 333
% 109.21/109.32 New rule produced :
% 109.21/109.32 [575]
% 109.21/109.32 composition(top,composition(A,top)) join complement(composition(A,B)) -> top
% 109.21/109.32 Current number of equations to process: 2079
% 109.21/109.32 Current number of ordered equations: 0
% 109.21/109.32 Current number of rules: 334
% 109.21/109.32 New rule produced :
% 109.21/109.32 [576]
% 109.21/109.32 composition(complement(composition(A,B)),top) join composition(A,top) -> top
% 109.21/109.32 Current number of equations to process: 2078
% 109.21/109.32 Current number of ordered equations: 0
% 109.21/109.32 Current number of rules: 335
% 109.21/109.32 New rule produced :
% 109.21/109.32 [577]
% 109.21/109.32 converse(composition(A,top)) join complement(one) ->
% 109.21/109.32 composition(A,top) join complement(one)
% 109.21/109.32 Rule
% 109.21/109.32 [493]
% 109.21/109.32 converse(composition(complement(one),top)) join complement(one) ->
% 109.21/109.32 converse(composition(complement(one),top)) collapsed.
% 109.21/109.32 Current number of equations to process: 2118
% 109.21/109.32 Current number of ordered equations: 0
% 109.21/109.32 Current number of rules: 335
% 109.21/109.32 Rule [520]
% 109.21/109.32 composition(top,composition(complement(one),A)) <->
% 109.21/109.32 composition(converse(composition(complement(one),top)),A) is composed into
% 109.21/109.32 [520]
% 109.21/109.32 composition(top,composition(complement(one),A)) <->
% 109.21/109.32 composition(composition(complement(one),top),A)
% 109.21/109.32 Rule [519]
% 109.21/109.32 composition(composition(A,top),complement(one)) <->
% 109.21/109.32 composition(A,converse(composition(complement(one),top))) is composed into
% 109.21/109.32 [519]
% 109.21/109.32 composition(composition(A,top),complement(one)) <->
% 109.21/109.32 composition(A,composition(complement(one),top))
% 109.21/109.32 New rule produced :
% 109.21/109.32 [578]
% 109.21/109.32 converse(composition(complement(one),top)) ->
% 109.21/109.32 composition(complement(one),top)
% 109.21/109.32 Rule [311] one join converse(composition(complement(one),top)) -> top
% 109.21/109.32 collapsed.
% 109.21/109.32 Rule
% 109.21/109.32 [466] one join complement(converse(composition(complement(one),top))) -> one
% 109.21/109.32 collapsed.
% 109.21/109.32 Rule
% 109.21/109.32 [490]
% 109.21/109.32 composition(converse(composition(complement(one),top)),A) join A ->
% 109.21/109.32 composition(top,A) collapsed.
% 109.21/109.32 Rule
% 109.21/109.32 [491]
% 109.21/109.32 composition(A,converse(composition(complement(one),top))) join A ->
% 109.21/109.32 composition(A,top) collapsed.
% 109.21/109.32 Rule
% 109.21/109.32 [492]
% 109.21/109.32 one join complement(converse(composition(complement(one),top)) join A) -> one
% 109.21/109.32 collapsed.
% 109.21/109.32 Rule
% 109.21/109.32 [518]
% 109.21/109.32 composition(A,converse(composition(complement(one),top))) <->
% 109.21/109.32 composition(composition(A,top),complement(one)) collapsed.
% 109.21/109.32 Rule
% 109.21/109.32 [521]
% 109.21/109.32 composition(converse(composition(complement(one),top)),A) <->
% 109.21/109.32 composition(top,composition(complement(one),A)) collapsed.
% 109.21/109.32 Current number of equations to process: 2121
% 109.21/109.32 Current number of ordered equations: 0
% 109.21/109.32 Current number of rules: 329
% 109.21/109.32 New rule produced :
% 109.21/109.32 [579]
% 109.21/109.32 composition(composition(complement(one),top),A) join A -> composition(top,A)
% 109.21/109.32 Current number of equations to process: 2118
% 109.21/109.32 Current number of ordered equations: 0
% 109.21/109.32 Current number of rules: 330
% 109.21/109.32 New rule produced :
% 109.21/109.32 [580]
% 109.21/109.32 composition(A,composition(complement(one),top)) join A -> composition(A,top)
% 109.21/109.32 Current number of equations to process: 2117
% 118.45/118.57 Current number of ordered equations: 0
% 118.45/118.57 Current number of rules: 331
% 118.45/118.57 New rule produced :
% 118.45/118.57 [581]
% 118.45/118.57 composition(top,composition(A,top)) join A ->
% 118.45/118.57 composition(top,composition(A,top))
% 118.45/118.57 Current number of equations to process: 2430
% 118.45/118.57 Current number of ordered equations: 0
% 118.45/118.57 Current number of rules: 332
% 118.45/118.57 New rule produced :
% 118.45/118.57 [582]
% 118.45/118.57 composition(composition(complement(one),top),complement(composition(complement(one),top)))
% 118.45/118.57 -> zero
% 118.45/118.57 Current number of equations to process: 2488
% 118.45/118.57 Current number of ordered equations: 0
% 118.45/118.57 Current number of rules: 333
% 118.45/118.57 New rule produced :
% 118.45/118.57 [583]
% 118.45/118.57 converse(composition(composition(A,complement(one)),top)) <->
% 118.45/118.57 composition(composition(complement(one),top),converse(A))
% 118.45/118.57 Current number of equations to process: 2487
% 118.45/118.57 Current number of ordered equations: 1
% 118.45/118.57 Current number of rules: 334
% 118.45/118.57 New rule produced :
% 118.45/118.57 [584]
% 118.45/118.57 composition(composition(complement(one),top),converse(A)) <->
% 118.45/118.57 converse(composition(composition(A,complement(one)),top))
% 118.45/118.57 Current number of equations to process: 2487
% 118.45/118.57 Current number of ordered equations: 0
% 118.45/118.57 Current number of rules: 335
% 118.45/118.57 New rule produced :
% 118.45/118.57 [585]
% 118.45/118.57 composition(composition(top,complement(one)),converse(A)) ->
% 118.45/118.57 converse(composition(A,composition(complement(one),top)))
% 118.45/118.57 Current number of equations to process: 2486
% 118.45/118.57 Current number of ordered equations: 0
% 118.45/118.57 Current number of rules: 336
% 118.45/118.57 New rule produced :
% 118.45/118.57 [586]
% 118.45/118.57 converse(composition(complement(one),composition(top,A))) <->
% 118.45/118.57 composition(converse(A),composition(complement(one),top))
% 118.45/118.57 Current number of equations to process: 2484
% 118.45/118.57 Current number of ordered equations: 1
% 118.45/118.57 Current number of rules: 337
% 118.45/118.57 New rule produced :
% 118.45/118.57 [587]
% 118.45/118.57 composition(converse(A),composition(complement(one),top)) <->
% 118.45/118.57 converse(composition(complement(one),composition(top,A)))
% 118.45/118.57 Current number of equations to process: 2484
% 118.45/118.57 Current number of ordered equations: 0
% 118.45/118.57 Current number of rules: 338
% 118.45/118.57 New rule produced :
% 118.45/118.57 [588] one join converse(complement(complement(one) join A)) -> one
% 118.45/118.57 Current number of equations to process: 2549
% 118.45/118.57 Current number of ordered equations: 0
% 118.45/118.57 Current number of rules: 339
% 118.45/118.57 New rule produced :
% 118.45/118.57 [589]
% 118.45/118.57 converse(complement(one join A)) join complement(one) -> complement(one)
% 118.45/118.57 Current number of equations to process: 2820
% 118.45/118.57 Current number of ordered equations: 0
% 118.45/118.57 Current number of rules: 340
% 118.45/118.57 New rule produced :
% 118.45/118.57 [590]
% 118.45/118.57 converse(complement(composition(A,top))) join converse(complement(A)) ->
% 118.45/118.57 converse(complement(A))
% 118.45/118.57 Current number of equations to process: 2819
% 118.45/118.57 Current number of ordered equations: 0
% 118.45/118.57 Current number of rules: 341
% 118.45/118.57 New rule produced :
% 118.45/118.57 [591]
% 118.45/118.57 converse(composition(top,complement(converse(A)))) join composition(A,top) ->
% 118.45/118.57 top
% 118.45/118.57 Current number of equations to process: 2951
% 118.45/118.57 Current number of ordered equations: 0
% 118.45/118.57 Current number of rules: 342
% 118.45/118.57 Rule [380]
% 118.45/118.57 composition(converse(A),A) join complement(one) ->
% 118.45/118.57 converse(composition(top,A)) join complement(one) is composed into
% 118.45/118.57 [380]
% 118.45/118.57 composition(converse(A),A) join complement(one) ->
% 118.45/118.57 composition(top,A) join complement(one)
% 118.45/118.57 New rule produced :
% 118.45/118.57 [592]
% 118.45/118.57 converse(composition(top,A)) join complement(one) ->
% 118.45/118.57 composition(top,A) join complement(one)
% 118.45/118.57 Current number of equations to process: 3018
% 118.45/118.57 Current number of ordered equations: 0
% 118.45/118.57 Current number of rules: 343
% 118.45/118.57 New rule produced :
% 118.45/118.57 [593]
% 118.45/118.57 composition(top,complement(A)) join complement(composition(top,A)) ->
% 118.45/118.57 composition(top,complement(A))
% 118.45/118.57 Current number of equations to process: 3403
% 118.45/118.57 Current number of ordered equations: 0
% 118.45/118.57 Current number of rules: 344
% 118.45/118.57 New rule produced :
% 118.45/118.57 [594]
% 118.45/118.57 composition(complement(A),top) join complement(composition(top,A)) ->
% 118.45/118.57 composition(complement(A),top)
% 118.45/118.57 Current number of equations to process: 3402
% 118.45/118.57 Current number of ordered equations: 0
% 118.45/118.57 Current number of rules: 345
% 118.45/118.57 New rule produced :
% 118.45/118.57 [595]
% 118.45/118.57 composition(composition(A,top),composition(complement(one),top)) ->
% 118.45/118.57 composition(A,composition(complement(one),top))
% 118.45/118.57 Current number of equations to process: 3401
% 118.45/118.57 Current number of ordered equations: 0
% 118.45/118.57 Current number of rules: 346
% 118.45/118.57 New rule produced :
% 118.45/118.57 [596]
% 118.45/118.57 composition(composition(top,complement(one)),composition(top,A)) ->
% 118.45/118.57 composition(composition(complement(one),top),A)
% 118.45/118.57 Current number of equations to process: 3400
% 118.45/118.57 Current number of ordered equations: 0
% 158.25/158.35 Current number of rules: 347
% 158.25/158.35 New rule produced :
% 158.25/158.35 [597]
% 158.25/158.35 converse(composition(composition(complement(one),top),converse(A))) <->
% 158.25/158.35 composition(composition(A,complement(one)),top)
% 158.25/158.35 Current number of equations to process: 3396
% 158.25/158.35 Current number of ordered equations: 1
% 158.25/158.35 Current number of rules: 348
% 158.25/158.35 New rule produced :
% 158.25/158.35 [598]
% 158.25/158.35 composition(composition(A,complement(one)),top) <->
% 158.25/158.35 converse(composition(composition(complement(one),top),converse(A)))
% 158.25/158.35 Current number of equations to process: 3396
% 158.25/158.35 Current number of ordered equations: 0
% 158.25/158.35 Current number of rules: 349
% 158.25/158.35 New rule produced :
% 158.25/158.35 [599]
% 158.25/158.35 converse(composition(converse(A),composition(complement(one),top))) <->
% 158.25/158.35 composition(complement(one),composition(top,A))
% 158.25/158.35 Current number of equations to process: 3395
% 158.25/158.35 Current number of ordered equations: 1
% 158.25/158.35 Current number of rules: 350
% 158.25/158.35 New rule produced :
% 158.25/158.35 [600]
% 158.25/158.35 composition(complement(one),composition(top,A)) <->
% 158.25/158.35 converse(composition(converse(A),composition(complement(one),top)))
% 158.25/158.35 Current number of equations to process: 3395
% 158.25/158.35 Current number of ordered equations: 0
% 158.25/158.35 Current number of rules: 351
% 158.25/158.35 New rule produced :
% 158.25/158.35 [601]
% 158.25/158.35 composition(top,A) join complement(composition(top,complement(A))) ->
% 158.25/158.35 composition(top,A)
% 158.25/158.35 Current number of equations to process: 3804
% 158.25/158.35 Current number of ordered equations: 0
% 158.25/158.35 Current number of rules: 352
% 158.25/158.35 New rule produced :
% 158.25/158.35 [602] composition(top,composition(A,top)) join complement(A) -> top
% 158.25/158.35 Current number of equations to process: 3909
% 158.25/158.35 Current number of ordered equations: 0
% 158.25/158.35 Current number of rules: 353
% 158.25/158.35 New rule produced :
% 158.25/158.35 [603]
% 158.25/158.35 composition(top,complement(A)) join complement(composition(A,top)) ->
% 158.25/158.35 composition(top,complement(A))
% 158.25/158.35 Current number of equations to process: 4423
% 158.25/158.35 Current number of ordered equations: 0
% 158.25/158.35 Current number of rules: 354
% 158.25/158.35 New rule produced :
% 158.25/158.35 [604]
% 158.25/158.35 composition(A,composition(top,complement(B))) join B ->
% 158.25/158.35 composition(A,top) join B
% 158.25/158.35 Current number of equations to process: 1193
% 158.25/158.35 Current number of ordered equations: 0
% 158.25/158.35 Current number of rules: 355
% 158.25/158.35 New rule produced :
% 158.25/158.35 [605]
% 158.25/158.35 complement(composition(A,complement(composition(top,composition(A,top))))) ->
% 158.25/158.35 top
% 158.25/158.35 Current number of equations to process: 1935
% 158.25/158.35 Current number of ordered equations: 0
% 158.25/158.35 Current number of rules: 356
% 158.25/158.35 New rule produced :
% 158.25/158.35 [606] complement(composition(composition(top,complement(A)),top)) join A -> A
% 158.25/158.35 Current number of equations to process: 2820
% 158.25/158.35 Current number of ordered equations: 0
% 158.25/158.35 Current number of rules: 357
% 158.25/158.35 New rule produced :
% 158.25/158.35 [607] composition(top,composition(complement(A),top)) join A -> top
% 158.25/158.35 Current number of equations to process: 3114
% 158.25/158.35 Current number of ordered equations: 0
% 158.25/158.35 Current number of rules: 358
% 158.25/158.35 New rule produced :
% 158.25/158.35 [608]
% 158.25/158.35 complement(converse(composition(complement(converse(A)),top))) join A -> A
% 158.25/158.35 Current number of equations to process: 3293
% 158.25/158.35 Current number of ordered equations: 0
% 158.25/158.35 Current number of rules: 359
% 158.25/158.35 New rule produced :
% 158.25/158.35 [609]
% 158.25/158.35 converse(complement(composition(complement(A),top))) join converse(A) ->
% 158.25/158.35 converse(A)
% 158.25/158.35 Current number of equations to process: 3465
% 158.25/158.35 Current number of ordered equations: 0
% 158.25/158.35 Current number of rules: 360
% 158.25/158.35 New rule produced :
% 158.25/158.35 [610]
% 158.25/158.35 converse(composition(top,composition(A,top))) join converse(complement(A)) ->
% 158.25/158.35 top
% 158.25/158.35 Current number of equations to process: 3518
% 158.25/158.35 Current number of ordered equations: 1
% 158.25/158.35 Current number of rules: 361
% 158.25/158.35 New rule produced :
% 158.25/158.35 [611]
% 158.25/158.35 converse(composition(top,complement(A))) join converse(composition(A,top)) ->
% 158.25/158.35 top
% 158.25/158.35 Current number of equations to process: 3518
% 158.25/158.35 Current number of ordered equations: 0
% 158.25/158.35 Current number of rules: 362
% 158.25/158.35 New rule produced :
% 158.25/158.35 [612]
% 158.25/158.35 converse(composition(composition(top,A),top)) join complement(converse(A)) ->
% 158.25/158.35 top
% 158.25/158.35 Current number of equations to process: 3517
% 158.25/158.35 Current number of ordered equations: 0
% 158.25/158.35 Current number of rules: 363
% 158.25/158.35 New rule produced :
% 158.25/158.35 [613]
% 158.25/158.35 converse(composition(composition(top,complement(A)),top)) join converse(A) ->
% 158.25/158.35 top
% 158.25/158.35 Current number of equations to process: 3515
% 158.25/158.35 Current number of ordered equations: 0
% 158.25/158.35 Current number of rules: 364
% 158.25/158.35 New rule produced :
% 158.25/158.35 [614]
% 158.25/158.35 composition(A,top) join complement(composition(top,complement(A))) ->
% 158.25/158.35 composition(A,top)
% 158.25/158.35 Current number of equations to process: 3514
% 189.08/189.17 Current number of ordered equations: 0
% 189.08/189.17 Current number of rules: 365
% 189.08/189.17 New rule produced :
% 189.08/189.17 [615]
% 189.08/189.17 composition(top,A) join complement(composition(complement(A),top)) ->
% 189.08/189.17 composition(top,A)
% 189.08/189.17 Current number of equations to process: 3512
% 189.08/189.17 Current number of ordered equations: 0
% 189.08/189.17 Current number of rules: 366
% 189.08/189.17 New rule produced :
% 189.08/189.17 [616]
% 189.08/189.17 converse(composition(top,composition(complement(converse(A)),top))) join A ->
% 189.08/189.17 top
% 189.08/189.17 Current number of equations to process: 3511
% 189.08/189.17 Current number of ordered equations: 0
% 189.08/189.17 Current number of rules: 367
% 189.08/189.17 New rule produced :
% 189.08/189.17 [617]
% 189.08/189.17 converse(composition(complement(converse(A)),top)) join composition(A,top) ->
% 189.08/189.17 top
% 189.08/189.17 Current number of equations to process: 3510
% 189.08/189.17 Current number of ordered equations: 0
% 189.08/189.17 Current number of rules: 368
% 189.08/189.17 New rule produced :
% 189.08/189.17 [618]
% 189.08/189.17 complement(converse(composition(top,complement(converse(A))))) join A -> A
% 189.08/189.17 Current number of equations to process: 4092
% 189.08/189.17 Current number of ordered equations: 0
% 189.08/189.17 Current number of rules: 369
% 189.08/189.17 New rule produced :
% 189.08/189.17 [619]
% 189.08/189.17 converse(composition(composition(top,complement(converse(A))),top)) join A ->
% 189.08/189.17 top
% 189.08/189.17 Current number of equations to process: 4266
% 189.08/189.17 Current number of ordered equations: 0
% 189.08/189.17 Current number of rules: 370
% 189.08/189.17 New rule produced :
% 189.08/189.17 [620]
% 189.08/189.17 composition(composition(top,A),top) join complement(composition(A,B)) -> top
% 189.08/189.17 Current number of equations to process: 4267
% 189.08/189.17 Current number of ordered equations: 0
% 189.08/189.17 Current number of rules: 371
% 189.08/189.17 New rule produced :
% 189.08/189.17 [621]
% 189.08/189.17 complement(composition(top,composition(A,top))) join complement(A) ->
% 189.08/189.17 complement(A)
% 189.08/189.17 Current number of equations to process: 2561
% 189.08/189.17 Current number of ordered equations: 0
% 189.08/189.17 Current number of rules: 372
% 189.08/189.17 New rule produced :
% 189.08/189.17 [622]
% 189.08/189.17 converse(composition(composition(top,A),converse(A))) -> composition(A,top)
% 189.08/189.17 Current number of equations to process: 2568
% 189.08/189.17 Current number of ordered equations: 0
% 189.08/189.17 Current number of rules: 373
% 189.08/189.17 New rule produced :
% 189.08/189.17 [623]
% 189.08/189.17 composition(complement(one),composition(complement(one),top)) ->
% 189.08/189.17 composition(complement(one),top)
% 189.08/189.17 Current number of equations to process: 2632
% 189.08/189.17 Current number of ordered equations: 0
% 189.08/189.17 Current number of rules: 374
% 189.08/189.17 New rule produced :
% 189.08/189.17 [624]
% 189.08/189.17 composition(converse(composition(A,top)),composition(top,A)) ->
% 189.08/189.17 composition(top,A)
% 189.08/189.17 Current number of equations to process: 2632
% 189.08/189.17 Current number of ordered equations: 0
% 189.08/189.17 Current number of rules: 375
% 189.08/189.17 New rule produced :
% 189.08/189.17 [625]
% 189.08/189.17 composition(converse(composition(top,A)),composition(A,top)) ->
% 189.08/189.17 converse(composition(top,A))
% 189.08/189.17 Current number of equations to process: 2631
% 189.08/189.17 Current number of ordered equations: 0
% 189.08/189.17 Current number of rules: 376
% 189.08/189.17 New rule produced :
% 189.08/189.17 [626] composition(complement(composition(complement(A),top)),B) join A -> A
% 189.08/189.17 Rule
% 189.08/189.17 [476] composition(complement(composition(complement(A),top)),top) join A -> A
% 189.08/189.17 collapsed.
% 189.08/189.17 Current number of equations to process: 2678
% 189.08/189.17 Current number of ordered equations: 0
% 189.08/189.17 Current number of rules: 376
% 189.08/189.17 New rule produced :
% 189.08/189.17 [627]
% 189.08/189.17 composition(converse(composition(A,top)),composition(A,B)) ->
% 189.08/189.17 composition(composition(top,A),B)
% 189.08/189.17 Current number of equations to process: 2678
% 189.08/189.17 Current number of ordered equations: 0
% 189.08/189.17 Current number of rules: 377
% 189.08/189.17 New rule produced :
% 189.08/189.17 [628]
% 189.08/189.17 composition(composition(A,top),composition(converse(B),B)) ->
% 189.08/189.17 composition(A,composition(top,B))
% 189.08/189.17 Current number of equations to process: 2677
% 189.08/189.17 Current number of ordered equations: 0
% 189.08/189.17 Current number of rules: 378
% 189.08/189.17 New rule produced :
% 189.08/189.17 [629]
% 189.08/189.17 complement(composition(complement(composition(complement(A),top)),top)) join A
% 189.08/189.17 -> top
% 189.08/189.17 Current number of equations to process: 2674
% 189.08/189.17 Current number of ordered equations: 0
% 189.08/189.17 Current number of rules: 379
% 189.08/189.17 New rule produced :
% 189.08/189.17 [630]
% 189.08/189.17 composition(composition(A,complement(one)),complement(composition(complement(one),top)))
% 189.08/189.17 -> zero
% 189.08/189.17 Current number of equations to process: 2715
% 189.08/189.17 Current number of ordered equations: 0
% 189.08/189.17 Current number of rules: 380
% 189.08/189.17 New rule produced :
% 189.08/189.17 [631]
% 189.08/189.17 composition(complement(one),composition(complement(composition(complement(one),top)),A))
% 189.08/189.17 -> zero
% 189.08/189.17 Current number of equations to process: 2752
% 189.08/189.17 Current number of ordered equations: 0
% 189.08/189.17 Current number of rules: 381
% 189.08/189.17 New rule produced :
% 189.08/189.17 [632]
% 189.08/189.17 converse(composition(top,composition(A,top))) ->
% 189.08/189.17 composition(composition(top,A),top)
% 190.26/190.38 Rule
% 190.26/190.38 [424]
% 190.26/190.38 converse(composition(top,composition(complement(A),top))) join converse(A) ->
% 190.26/190.38 top collapsed.
% 190.26/190.38 Rule
% 190.26/190.38 [434]
% 190.26/190.38 converse(composition(top,composition(A,top))) join complement(converse(A)) ->
% 190.26/190.38 top collapsed.
% 190.26/190.38 Rule
% 190.26/190.38 [610]
% 190.26/190.38 converse(composition(top,composition(A,top))) join converse(complement(A)) ->
% 190.26/190.38 top collapsed.
% 190.26/190.38 Rule
% 190.26/190.38 [616]
% 190.26/190.38 converse(composition(top,composition(complement(converse(A)),top))) join A ->
% 190.26/190.38 top collapsed.
% 190.26/190.38 Current number of equations to process: 2759
% 190.26/190.38 Current number of ordered equations: 0
% 190.26/190.38 Current number of rules: 378
% 190.26/190.38 New rule produced :
% 190.26/190.38 [633] converse(A) join composition(composition(top,complement(A)),top) -> top
% 190.26/190.38 Current number of equations to process: 2758
% 190.26/190.38 Current number of ordered equations: 0
% 190.26/190.38 Current number of rules: 379
% 190.26/190.38 New rule produced :
% 190.26/190.38 [634] composition(composition(top,A),top) join complement(converse(A)) -> top
% 190.26/190.38 Current number of equations to process: 2757
% 190.26/190.38 Current number of ordered equations: 0
% 190.26/190.38 Current number of rules: 380
% 190.26/190.38 New rule produced :
% 190.26/190.38 [635] converse(complement(A)) join composition(composition(top,A),top) -> top
% 190.26/190.38 Current number of equations to process: 2756
% 190.26/190.38 Current number of ordered equations: 0
% 190.26/190.38 Current number of rules: 381
% 190.26/190.38 New rule produced :
% 190.26/190.38 [636] composition(composition(top,complement(converse(A))),top) join A -> top
% 190.26/190.38 Current number of equations to process: 2755
% 190.26/190.38 Current number of ordered equations: 0
% 190.26/190.38 Current number of rules: 382
% 190.26/190.38 New rule produced :
% 190.26/190.38 [637]
% 190.26/190.38 composition(composition(A,top),complement(composition(top,composition(A,top))))
% 190.26/190.38 -> zero
% 190.26/190.38 Current number of equations to process: 2888
% 190.26/190.38 Current number of ordered equations: 0
% 190.26/190.38 Current number of rules: 383
% 190.26/190.38 New rule produced :
% 190.26/190.38 [638]
% 190.26/190.38 composition(composition(A,top),composition(composition(top,A),top)) ->
% 190.26/190.38 composition(A,top)
% 190.26/190.38 Current number of equations to process: 2890
% 190.26/190.38 Current number of ordered equations: 0
% 190.26/190.38 Current number of rules: 384
% 190.26/190.38 New rule produced :
% 190.26/190.38 [639]
% 190.26/190.38 composition(composition(A,top),converse(composition(B,top))) ->
% 190.26/190.38 composition(A,converse(composition(B,top)))
% 190.26/190.38 Current number of equations to process: 2889
% 190.26/190.38 Current number of ordered equations: 0
% 190.26/190.38 Current number of rules: 385
% 190.26/190.38 New rule produced :
% 190.26/190.38 [640]
% 190.26/190.38 composition(A,composition(top,B)) join complement(B) ->
% 190.26/190.38 composition(A,top) join complement(B)
% 190.26/190.38 Current number of equations to process: 2885
% 190.26/190.38 Current number of ordered equations: 0
% 190.26/190.38 Current number of rules: 386
% 190.26/190.38 New rule produced :
% 190.26/190.38 [641]
% 190.26/190.38 composition(composition(A,converse(B)),composition(B,top)) ->
% 190.26/190.38 composition(A,converse(composition(top,B)))
% 190.26/190.38 Current number of equations to process: 2883
% 190.26/190.38 Current number of ordered equations: 0
% 190.26/190.38 Current number of rules: 387
% 190.26/190.38 New rule produced :
% 190.26/190.38 [642]
% 190.26/190.38 composition(composition(converse(A),A),composition(top,B)) ->
% 190.26/190.38 composition(converse(composition(top,A)),B)
% 190.26/190.38 Current number of equations to process: 2882
% 190.26/190.38 Current number of ordered equations: 0
% 190.26/190.38 Current number of rules: 388
% 190.26/190.38 New rule produced :
% 190.26/190.38 [643]
% 190.26/190.38 composition(converse(composition(A,B)),composition(A,top)) ->
% 190.26/190.38 converse(composition(composition(top,A),B))
% 190.26/190.38 Current number of equations to process: 2881
% 190.26/190.38 Current number of ordered equations: 0
% 190.26/190.38 Current number of rules: 389
% 190.26/190.38 New rule produced :
% 190.26/190.38 [644]
% 190.26/190.38 composition(converse(A),composition(A,composition(top,B))) ->
% 190.26/190.38 composition(converse(composition(top,A)),B)
% 190.26/190.38 Current number of equations to process: 2879
% 190.26/190.38 Current number of ordered equations: 0
% 190.26/190.38 Current number of rules: 390
% 190.26/190.38 New rule produced :
% 190.26/190.38 [645]
% 190.26/190.38 converse(composition(composition(top,A),top)) ->
% 190.26/190.38 composition(composition(top,A),top)
% 190.26/190.38 Rule
% 190.26/190.38 [555]
% 190.26/190.38 converse(composition(composition(top,A),top)) join converse(complement(A)) ->
% 190.26/190.38 top collapsed.
% 190.26/190.38 Rule
% 190.26/190.38 [612]
% 190.26/190.38 converse(composition(composition(top,A),top)) join complement(converse(A)) ->
% 190.26/190.38 top collapsed.
% 190.26/190.38 Rule
% 190.26/190.38 [613]
% 190.26/190.38 converse(composition(composition(top,complement(A)),top)) join converse(A) ->
% 190.26/190.38 top collapsed.
% 190.26/190.38 Rule
% 190.26/190.38 [619]
% 190.26/190.38 converse(composition(composition(top,complement(converse(A))),top)) join A ->
% 190.26/190.38 top collapsed.
% 190.26/190.38 Current number of equations to process: 2873
% 190.26/190.38 Current number of ordered equations: 0
% 190.26/190.38 Current number of rules: 387
% 190.26/190.38 New rule produced :
% 190.26/190.38 [646]
% 190.26/190.38 composition(composition(top,B),converse(composition(A,B))) ->
% 190.26/190.38 converse(composition(composition(A,B),top))
% 190.26/190.38 Current number of equations to process: 2871
% 212.66/212.71 Current number of ordered equations: 0
% 212.66/212.71 Current number of rules: 388
% 212.66/212.71 New rule produced :
% 212.66/212.71 [647]
% 212.66/212.71 composition(complement(composition(top,A)),converse(composition(top,A))) ->
% 212.66/212.71 zero
% 212.66/212.71 Current number of equations to process: 2968
% 212.66/212.71 Current number of ordered equations: 0
% 212.66/212.71 Current number of rules: 389
% 212.66/212.71 New rule produced :
% 212.66/212.71 [648]
% 212.66/212.71 composition(complement(composition(top,A)),composition(converse(A),B)) ->
% 212.66/212.71 zero
% 212.66/212.71 Current number of equations to process: 2969
% 212.66/212.71 Current number of ordered equations: 0
% 212.66/212.71 Current number of rules: 390
% 212.66/212.71 New rule produced :
% 212.66/212.71 [649]
% 212.66/212.71 converse(composition(complement(one),complement(one))) ->
% 212.66/212.71 composition(complement(one),complement(one))
% 212.66/212.71 Current number of equations to process: 3217
% 212.66/212.71 Current number of ordered equations: 0
% 212.66/212.71 Current number of rules: 391
% 212.66/212.71 New rule produced :
% 212.66/212.71 [650]
% 212.66/212.71 composition(complement(one),composition(top,complement(one))) ->
% 212.66/212.71 composition(complement(one),top)
% 212.66/212.71 Current number of equations to process: 3269
% 212.66/212.71 Current number of ordered equations: 0
% 212.66/212.71 Current number of rules: 392
% 212.66/212.71 New rule produced :
% 212.66/212.71 [651]
% 212.66/212.71 composition(composition(complement(one),top),complement(one)) ->
% 212.66/212.71 composition(complement(one),top)
% 212.66/212.71 Current number of equations to process: 3396
% 212.66/212.71 Current number of ordered equations: 0
% 212.66/212.71 Current number of rules: 393
% 212.66/212.71 New rule produced :
% 212.66/212.71 [652]
% 212.66/212.71 composition(composition(top,complement(one)),A) <->
% 212.66/212.71 composition(complement(one),composition(top,A))
% 212.66/212.71 Rule
% 212.66/212.71 [507]
% 212.66/212.71 composition(composition(top,complement(one)),top) ->
% 212.66/212.71 composition(top,complement(one)) collapsed.
% 212.66/212.71 Current number of equations to process: 3434
% 212.66/212.71 Current number of ordered equations: 0
% 212.66/212.71 Current number of rules: 393
% 212.66/212.71 New rule produced :
% 212.66/212.71 [653]
% 212.66/212.71 composition(complement(one),complement(composition(top,complement(one)))) ->
% 212.66/212.71 zero
% 212.66/212.71 Current number of equations to process: 3522
% 212.66/212.71 Current number of ordered equations: 0
% 212.66/212.71 Current number of rules: 394
% 212.66/212.71 New rule produced :
% 212.66/212.71 [654]
% 212.66/212.71 composition(composition(A,complement(one)),top) <->
% 212.66/212.71 composition(A,composition(top,complement(one)))
% 212.66/212.71 Current number of equations to process: 3519
% 212.66/212.71 Current number of ordered equations: 1
% 212.66/212.71 Current number of rules: 395
% 212.66/212.71 New rule produced :
% 212.66/212.71 [655]
% 212.66/212.71 composition(A,composition(top,complement(one))) <->
% 212.66/212.71 composition(composition(A,complement(one)),top)
% 212.66/212.71 Current number of equations to process: 3519
% 212.66/212.71 Current number of ordered equations: 0
% 212.66/212.71 Current number of rules: 396
% 212.66/212.71 New rule produced :
% 212.66/212.71 [656]
% 212.66/212.71 one join composition(A,complement(composition(complement(one),top))) -> one
% 212.66/212.71 Current number of equations to process: 3515
% 212.66/212.71 Current number of ordered equations: 0
% 212.66/212.71 Current number of rules: 397
% 212.66/212.71 New rule produced :
% 212.66/212.71 [657]
% 212.66/212.71 converse(composition(composition(top,complement(one)),complement(one))) ->
% 212.66/212.71 composition(complement(one),top)
% 212.66/212.71 Current number of equations to process: 4110
% 212.66/212.71 Current number of ordered equations: 0
% 212.66/212.71 Current number of rules: 398
% 212.66/212.71 New rule produced :
% 212.66/212.71 [658]
% 212.66/212.71 composition(top,complement(composition(top,complement(one)))) ->
% 212.66/212.71 complement(composition(complement(one),top))
% 212.66/212.71 Current number of equations to process: 4173
% 212.66/212.71 Current number of ordered equations: 0
% 212.66/212.71 Current number of rules: 399
% 212.66/212.71 New rule produced :
% 212.66/212.71 [659]
% 212.66/212.71 composition(complement(one),top) join complement(composition(A,complement(one)))
% 212.66/212.71 -> top
% 212.66/212.71 Current number of equations to process: 4623
% 212.66/212.71 Current number of ordered equations: 0
% 212.66/212.71 Current number of rules: 400
% 212.66/212.71 New rule produced :
% 212.66/212.71 [660]
% 212.66/212.71 composition(composition(complement(one),top),complement(composition(top,
% 212.66/212.71 complement(one)))) ->
% 212.66/212.71 zero
% 212.66/212.71 Current number of equations to process: 4622
% 212.66/212.71 Current number of ordered equations: 0
% 212.66/212.71 Current number of rules: 401
% 212.66/212.71 Rule [546]
% 212.66/212.71 composition(complement(one),composition(top,A)) <->
% 212.66/212.71 converse(composition(converse(A),composition(top,complement(one)))) is composed into
% 212.66/212.71 [546]
% 212.66/212.71 composition(complement(one),composition(top,A)) <->
% 212.66/212.71 converse(converse(composition(composition(complement(one),top),A)))
% 212.66/212.71 Rule [536]
% 212.66/212.71 converse(composition(complement(one),composition(top,A))) <->
% 212.66/212.71 composition(converse(A),composition(top,complement(one))) is composed into
% 212.66/212.71 [536]
% 212.66/212.71 converse(composition(complement(one),composition(top,A))) <->
% 212.66/212.71 converse(composition(composition(complement(one),top),A))
% 212.66/212.71 New rule produced :
% 212.66/212.75 [661]
% 212.66/212.75 composition(converse(A),composition(top,complement(one))) ->
% 212.66/212.75 converse(composition(composition(complement(one),top),A))
% 212.66/212.75 Rule
% 212.66/212.75 [537]
% 212.66/212.75 composition(converse(A),composition(top,complement(one))) <->
% 212.66/212.75 converse(composition(complement(one),composition(top,A))) collapsed.
% 212.66/212.75 Rule
% 212.66/212.75 [545]
% 212.66/212.75 converse(composition(converse(A),composition(top,complement(one)))) <->
% 212.66/212.75 composition(complement(one),composition(top,A)) collapsed.
% 212.66/212.75 Current number of equations to process: 4621
% 212.66/212.75 Current number of ordered equations: 0
% 212.66/212.75 Current number of rules: 400
% 212.66/212.75 Rule [600]
% 212.66/212.75 composition(complement(one),composition(top,A)) <->
% 212.66/212.75 converse(composition(converse(A),composition(complement(one),top))) is composed into
% 212.66/212.75 [600]
% 212.66/212.75 composition(complement(one),composition(top,A)) <->
% 212.66/212.75 converse(converse(composition(composition(top,complement(one)),A)))
% 212.66/212.75 Rule [586]
% 212.66/212.75 converse(composition(complement(one),composition(top,A))) <->
% 212.66/212.75 composition(converse(A),composition(complement(one),top)) is composed into
% 212.66/212.75 [586]
% 212.66/212.75 converse(composition(complement(one),composition(top,A))) <->
% 212.66/212.75 converse(composition(composition(top,complement(one)),A))
% 212.66/212.75 New rule produced :
% 212.66/212.75 [662]
% 212.66/212.75 composition(converse(A),composition(complement(one),top)) ->
% 212.66/212.75 converse(composition(composition(top,complement(one)),A))
% 212.66/212.75 Rule
% 212.66/212.75 [587]
% 212.66/212.75 composition(converse(A),composition(complement(one),top)) <->
% 212.66/212.75 converse(composition(complement(one),composition(top,A))) collapsed.
% 212.66/212.75 Rule
% 212.66/212.75 [599]
% 212.66/212.75 converse(composition(converse(A),composition(complement(one),top))) <->
% 212.66/212.75 composition(complement(one),composition(top,A)) collapsed.
% 212.66/212.75 Current number of equations to process: 4619
% 212.66/212.75 Current number of ordered equations: 1
% 212.66/212.75 Current number of rules: 399
% 212.66/212.75 Rule [598]
% 212.66/212.75 composition(composition(A,complement(one)),top) <->
% 212.66/212.75 converse(composition(composition(complement(one),top),converse(A))) is composed into
% 212.66/212.75 [598]
% 212.66/212.75 composition(composition(A,complement(one)),top) <->
% 212.66/212.75 converse(converse(composition(A,composition(top,complement(one)))))
% 212.66/212.75 Rule [583]
% 212.66/212.75 converse(composition(composition(A,complement(one)),top)) <->
% 212.66/212.75 composition(composition(complement(one),top),converse(A)) is composed into
% 212.66/212.75 [583]
% 212.66/212.75 converse(composition(composition(A,complement(one)),top)) <->
% 212.66/212.75 converse(composition(A,composition(top,complement(one))))
% 212.66/212.75 Rule [544]
% 212.66/212.75 composition(composition(A,top),complement(one)) <->
% 212.66/212.75 converse(composition(composition(complement(one),top),converse(A))) is composed into
% 212.66/212.75 [544]
% 212.66/212.75 composition(composition(A,top),complement(one)) <->
% 212.66/212.75 converse(converse(composition(A,composition(top,complement(one)))))
% 212.66/212.75 Rule [534]
% 212.66/212.75 converse(composition(composition(A,top),complement(one))) <->
% 212.66/212.75 composition(composition(complement(one),top),converse(A)) is composed into
% 212.66/212.75 [534]
% 212.66/212.75 converse(composition(composition(A,top),complement(one))) <->
% 212.66/212.75 converse(composition(A,composition(top,complement(one))))
% 212.66/212.75 New rule produced :
% 212.66/212.75 [663]
% 212.66/212.75 composition(composition(complement(one),top),converse(A)) ->
% 212.66/212.75 converse(composition(A,composition(top,complement(one))))
% 212.66/212.75 Rule
% 212.66/212.75 [535]
% 212.66/212.75 composition(composition(complement(one),top),converse(A)) <->
% 212.66/212.75 converse(composition(composition(A,top),complement(one))) collapsed.
% 212.66/212.75 Rule
% 212.66/212.75 [543]
% 212.66/212.75 converse(composition(composition(complement(one),top),converse(A))) <->
% 212.66/212.75 composition(composition(A,top),complement(one)) collapsed.
% 212.66/212.75 Rule
% 212.66/212.75 [584]
% 212.66/212.75 composition(composition(complement(one),top),converse(A)) <->
% 212.66/212.75 converse(composition(composition(A,complement(one)),top)) collapsed.
% 212.66/212.75 Rule
% 212.66/212.75 [597]
% 212.66/212.75 converse(composition(composition(complement(one),top),converse(A))) <->
% 212.66/212.75 composition(composition(A,complement(one)),top) collapsed.
% 212.66/212.75 Current number of equations to process: 4619
% 212.66/212.75 Current number of ordered equations: 0
% 212.66/212.75 Current number of rules: 396
% 212.66/212.75 New rule produced :
% 212.66/212.75 [664]
% 212.66/212.75 composition(A,composition(B,top)) join complement(composition(A,B)) -> top
% 212.66/212.75 Current number of equations to process: 4617
% 212.66/212.75 Current number of ordered equations: 0
% 212.66/212.75 Current number of rules: 397
% 212.66/212.75 New rule produced :
% 212.66/212.75 [665]
% 212.66/212.75 composition(top,complement(one)) join complement(composition(complement(one),top))
% 212.66/212.75 -> top
% 212.66/212.75 Current number of equations to process: 4615
% 212.66/212.75 Current number of ordered equations: 0
% 212.66/212.75 Current number of rules: 398
% 212.66/212.75 New rule produced :
% 212.66/212.75 [666]
% 212.66/212.75 one join complement(composition(A,complement(composition(complement(one),top))))
% 260.99/261.01 -> top
% 260.99/261.01 Current number of equations to process: 4614
% 260.99/261.01 Current number of ordered equations: 0
% 260.99/261.01 Current number of rules: 399
% 260.99/261.01 New rule produced :
% 260.99/261.01 [667]
% 260.99/261.01 composition(top,complement(one)) join complement(composition(complement(one),A))
% 260.99/261.01 -> top
% 260.99/261.01 Rule
% 260.99/261.01 [665]
% 260.99/261.01 composition(top,complement(one)) join complement(composition(complement(one),top))
% 260.99/261.01 -> top collapsed.
% 260.99/261.01 Current number of equations to process: 4607
% 260.99/261.01 Current number of ordered equations: 0
% 260.99/261.01 Current number of rules: 399
% 260.99/261.01 New rule produced :
% 260.99/261.01 [668]
% 260.99/261.01 composition(top,composition(complement(A),top)) join composition(top,A) ->
% 260.99/261.01 top
% 260.99/261.01 Current number of equations to process: 4605
% 260.99/261.01 Current number of ordered equations: 0
% 260.99/261.01 Current number of rules: 400
% 260.99/261.01 New rule produced :
% 260.99/261.01 [669]
% 260.99/261.01 composition(composition(top,A),top) join composition(complement(A),top) ->
% 260.99/261.01 top
% 260.99/261.01 Current number of equations to process: 4604
% 260.99/261.01 Current number of ordered equations: 0
% 260.99/261.01 Current number of rules: 401
% 260.99/261.01 New rule produced :
% 260.99/261.01 [670]
% 260.99/261.01 composition(top,complement(A)) join composition(composition(top,A),top) ->
% 260.99/261.01 top
% 260.99/261.01 Current number of equations to process: 4602
% 260.99/261.01 Current number of ordered equations: 0
% 260.99/261.01 Current number of rules: 402
% 260.99/261.01 New rule produced :
% 260.99/261.01 [671]
% 260.99/261.01 converse(A) join composition(composition(top,A),top) ->
% 260.99/261.01 composition(composition(top,A),top)
% 260.99/261.01 Current number of equations to process: 4600
% 260.99/261.01 Current number of ordered equations: 0
% 260.99/261.01 Current number of rules: 403
% 260.99/261.01 New rule produced :
% 260.99/261.01 [672]
% 260.99/261.01 composition(top,A) join composition(composition(top,complement(A)),top) ->
% 260.99/261.01 top
% 260.99/261.01 Current number of equations to process: 4597
% 260.99/261.01 Current number of ordered equations: 0
% 260.99/261.01 Current number of rules: 404
% 260.99/261.01 New rule produced :
% 260.99/261.01 [673]
% 260.99/261.01 composition(composition(top,complement(A)),top) join composition(A,top) ->
% 260.99/261.01 top
% 260.99/261.01 Current number of equations to process: 4596
% 260.99/261.01 Current number of ordered equations: 0
% 260.99/261.01 Current number of rules: 405
% 260.99/261.01 New rule produced :
% 260.99/261.01 [674]
% 260.99/261.01 composition(top,composition(A,top)) join composition(top,complement(A)) ->
% 260.99/261.01 top
% 260.99/261.01 Current number of equations to process: 4594
% 260.99/261.01 Current number of ordered equations: 0
% 260.99/261.01 Current number of rules: 406
% 260.99/261.01 New rule produced :
% 260.99/261.01 [675]
% 260.99/261.01 composition(composition(top,complement(one)),complement(one)) ->
% 260.99/261.01 composition(complement(one),top)
% 260.99/261.01 Rule
% 260.99/261.01 [657]
% 260.99/261.01 converse(composition(composition(top,complement(one)),complement(one))) ->
% 260.99/261.01 composition(complement(one),top) collapsed.
% 260.99/261.01 Current number of equations to process: 4644
% 260.99/261.01 Current number of ordered equations: 0
% 260.99/261.01 Current number of rules: 406
% 260.99/261.01 New rule produced :
% 260.99/261.01 [676]
% 260.99/261.01 composition(top,composition(A,top)) join complement(composition(B,A)) -> top
% 260.99/261.01 Current number of equations to process: 3541
% 260.99/261.01 Current number of ordered equations: 0
% 260.99/261.01 Current number of rules: 407
% 260.99/261.01 New rule produced :
% 260.99/261.01 [677]
% 260.99/261.01 composition(complement(one),top) join composition(A,complement(one)) ->
% 260.99/261.01 composition(complement(one),top)
% 260.99/261.01 Current number of equations to process: 3673
% 260.99/261.01 Current number of ordered equations: 0
% 260.99/261.01 Current number of rules: 408
% 260.99/261.01 New rule produced :
% 260.99/261.01 [678]
% 260.99/261.01 composition(top,complement(one)) join composition(top,A) ->
% 260.99/261.01 composition(complement(one),top) join A
% 260.99/261.01 Current number of equations to process: 3670
% 260.99/261.01 Current number of ordered equations: 0
% 260.99/261.01 Current number of rules: 409
% 260.99/261.01 New rule produced :
% 260.99/261.01 [679]
% 260.99/261.01 composition(top,complement(one)) join composition(complement(one),A) ->
% 260.99/261.01 composition(complement(one),top)
% 260.99/261.01 Current number of equations to process: 3669
% 260.99/261.01 Current number of ordered equations: 0
% 260.99/261.01 Current number of rules: 410
% 260.99/261.01 New rule produced :
% 260.99/261.01 [680]
% 260.99/261.01 composition(complement(A),top) join complement(composition(A,top)) ->
% 260.99/261.01 composition(complement(A),top)
% 260.99/261.01 Current number of equations to process: 3667
% 260.99/261.01 Current number of ordered equations: 0
% 260.99/261.01 Current number of rules: 411
% 260.99/261.01 New rule produced :
% 260.99/261.01 [681]
% 260.99/261.01 composition(complement(one),top) join composition(A,top) ->
% 260.99/261.01 composition(complement(one),top) join A
% 260.99/261.01 Current number of equations to process: 3757
% 260.99/261.01 Current number of ordered equations: 0
% 260.99/261.01 Current number of rules: 412
% 260.99/261.01 New rule produced :
% 260.99/261.01 [682]
% 260.99/261.01 composition(A,top) join complement(composition(complement(A),top)) ->
% 260.99/261.01 composition(A,top)
% 260.99/261.01 Current number of equations to process: 4646
% 260.99/261.01 Current number of ordered equations: 0
% 260.99/261.01 Current number of rules: 413
% 260.99/261.01 New rule produced :
% 269.58/269.64 [683] complement(composition(top,composition(complement(A),top))) join A -> A
% 269.58/269.64 Current number of equations to process: 2605
% 269.58/269.64 Current number of ordered equations: 0
% 269.58/269.64 Current number of rules: 414
% 269.58/269.64 New rule produced :
% 269.58/269.64 [684]
% 269.58/269.64 converse(composition(top,complement(converse(A)))) ->
% 269.58/269.64 composition(complement(A),top)
% 269.58/269.64 Rule [415] converse(composition(top,complement(converse(A)))) join A -> top
% 269.58/269.64 collapsed.
% 269.58/269.64 Rule
% 269.58/269.64 [422]
% 269.58/269.64 converse(composition(top,complement(converse(A)))) join composition(top,A) ->
% 269.58/269.64 top collapsed.
% 269.58/269.64 Rule
% 269.58/269.64 [591]
% 269.58/269.64 converse(composition(top,complement(converse(A)))) join composition(A,top) ->
% 269.58/269.64 top collapsed.
% 269.58/269.64 Rule
% 269.58/269.64 [618]
% 269.58/269.64 complement(converse(composition(top,complement(converse(A))))) join A -> A
% 269.58/269.64 collapsed.
% 269.58/269.64 Current number of equations to process: 3179
% 269.58/269.64 Current number of ordered equations: 0
% 269.58/269.64 Current number of rules: 411
% 269.58/269.64 New rule produced : [685] complement(converse(A)) -> converse(complement(A))
% 269.58/269.64 Rule
% 269.58/269.64 [119]
% 269.58/269.64 composition(A,complement(converse(A))) join complement(one) ->
% 269.58/269.64 complement(one) collapsed.
% 269.58/269.64 Rule
% 269.58/269.64 [163]
% 269.58/269.64 composition(top,A) join complement(converse(composition(converse(A),B))) ->
% 269.58/269.64 top collapsed.
% 269.58/269.64 Rule
% 269.58/269.64 [174]
% 269.58/269.64 complement(one) join complement(composition(A,complement(converse(A)))) ->
% 269.58/269.64 top collapsed.
% 269.58/269.64 Rule
% 269.58/269.64 [180]
% 269.58/269.64 complement(one) join complement(converse(composition(converse(A),complement(A))))
% 269.58/269.64 -> top collapsed.
% 269.58/269.64 Rule [191] composition(A,complement(converse(composition(top,A)))) -> zero
% 269.58/269.64 collapsed.
% 269.58/269.64 Rule
% 269.58/269.64 [197]
% 269.58/269.64 converse(composition(A,complement(converse(A)))) join complement(one) ->
% 269.58/269.64 complement(one) collapsed.
% 269.58/269.64 Rule
% 269.58/269.64 [221]
% 269.58/269.64 one join complement(composition(A,complement(converse(A)))) ->
% 269.58/269.64 complement(composition(A,complement(converse(A)))) collapsed.
% 269.58/269.64 Rule
% 269.58/269.64 [240]
% 269.58/269.64 composition(A,complement(converse(composition(converse(complement(B)),A)))) join B
% 269.58/269.64 -> B collapsed.
% 269.58/269.64 Rule
% 269.58/269.64 [288]
% 269.58/269.64 composition(complement(converse(A)),complement(composition(A,top))) ->
% 269.58/269.64 composition(top,complement(composition(A,top))) collapsed.
% 269.58/269.64 Rule
% 269.58/269.64 [289]
% 269.58/269.64 converse(composition(top,A)) join complement(converse(composition(B,A))) ->
% 269.58/269.64 top collapsed.
% 269.58/269.64 Rule
% 269.58/269.64 [294]
% 269.58/269.64 converse(composition(A,top)) join complement(converse(composition(A,B))) ->
% 269.58/269.64 top collapsed.
% 269.58/269.64 Rule [295] converse(composition(A,top)) join complement(converse(A)) -> top
% 269.58/269.64 collapsed.
% 269.58/269.64 Rule
% 269.58/269.64 [299]
% 269.58/269.64 complement(one) join complement(converse(composition(A,complement(converse(A)))))
% 269.58/269.64 -> top collapsed.
% 269.58/269.64 Rule
% 269.58/269.64 [335]
% 269.58/269.64 composition(composition(A,B),complement(converse(composition(top,B)))) ->
% 269.58/269.64 zero collapsed.
% 269.58/269.64 Rule
% 269.58/269.64 [336]
% 269.58/269.64 composition(B,composition(complement(converse(composition(top,B))),A)) ->
% 269.58/269.64 zero collapsed.
% 269.58/269.64 Rule
% 269.58/269.64 [338]
% 269.58/269.64 converse(complement(composition(A,complement(converse(A))))) join complement(one)
% 269.58/269.64 -> top collapsed.
% 269.58/269.64 Rule
% 269.58/269.64 [354] converse(A) join complement(converse(complement(A))) -> converse(A)
% 269.58/269.64 collapsed.
% 269.58/269.64 Rule
% 269.58/269.64 [355]
% 269.58/269.64 converse(complement(A)) join complement(converse(A)) ->
% 269.58/269.64 converse(complement(A)) collapsed.
% 269.58/269.64 Rule
% 269.58/269.64 [366]
% 269.58/269.64 converse(complement(A)) join complement(converse(complement(A join B))) ->
% 269.58/269.64 top collapsed.
% 269.58/269.64 Rule
% 269.58/269.64 [379]
% 269.58/269.64 converse(composition(A,top)) join composition(top,complement(converse(A))) ->
% 269.58/269.64 top collapsed.
% 269.58/269.64 Rule
% 269.58/269.64 [395]
% 269.58/269.64 converse(composition(complement(converse(A)),top)) join composition(top,A) ->
% 269.58/269.64 top collapsed.
% 269.58/269.64 Rule
% 269.58/269.64 [401]
% 269.58/269.64 converse(composition(top,A)) join composition(complement(converse(A)),top) ->
% 269.58/269.64 top collapsed.
% 269.58/269.64 Rule [405] converse(composition(top,A)) join complement(converse(A)) -> top
% 269.58/269.64 collapsed.
% 269.58/269.64 Rule [411] converse(composition(complement(converse(A)),top)) join A -> top
% 269.58/269.64 collapsed.
% 269.58/269.64 Rule
% 269.58/269.64 [413]
% 269.58/269.64 converse(A) join complement(converse(composition(complement(A),top))) ->
% 269.58/269.64 converse(A) collapsed.
% 269.58/269.64 Rule
% 269.58/269.64 [421]
% 269.58/269.64 complement(converse(composition(top,A))) join complement(converse(A)) ->
% 269.58/269.64 complement(converse(A)) collapsed.
% 269.58/269.64 Rule
% 269.58/269.64 [423]
% 269.58/269.64 converse(composition(top,A)) join composition(top,complement(converse(A))) ->
% 269.58/269.64 top collapsed.
% 269.58/269.64 Rule
% 269.58/269.64 [429]
% 269.58/269.64 composition(A,top) join complement(converse(composition(B,converse(A)))) ->
% 269.58/269.64 top collapsed.
% 269.58/269.64 Rule
% 269.58/269.64 [431]
% 269.58/269.64 converse(complement(A)) join complement(converse(composition(top,A))) ->
% 269.58/269.64 converse(complement(A)) collapsed.
% 269.58/269.64 Rule
% 269.58/269.64 [433]
% 269.58/269.64 complement(converse(composition(A,top))) join complement(converse(A)) ->
% 269.58/269.64 complement(converse(A)) collapsed.
% 269.58/269.64 Rule
% 269.58/269.64 [498]
% 269.58/269.64 converse(composition(top,A)) join complement(converse(complement(A))) ->
% 272.34/272.39 converse(composition(top,A)) collapsed.
% 272.34/272.39 Rule
% 272.34/272.39 [533]
% 272.34/272.39 one join composition(A,complement(converse(composition(complement(one),A))))
% 272.34/272.39 -> one collapsed.
% 272.34/272.39 Rule
% 272.34/272.39 [542]
% 272.34/272.39 converse(composition(A,top)) join composition(complement(converse(A)),top) ->
% 272.34/272.39 top collapsed.
% 272.34/272.39 Rule [553] converse(complement(converse(A))) -> complement(A) collapsed.
% 272.34/272.39 Rule
% 272.34/272.39 [558]
% 272.34/272.39 converse(A) join complement(converse(composition(top,complement(A)))) ->
% 272.34/272.39 converse(A) collapsed.
% 272.34/272.39 Rule
% 272.34/272.39 [560]
% 272.34/272.39 converse(complement(A)) join complement(converse(composition(A,top))) ->
% 272.34/272.39 converse(complement(A)) collapsed.
% 272.34/272.39 Rule
% 272.34/272.39 [561]
% 272.34/272.39 converse(composition(A,top)) join complement(converse(complement(A))) ->
% 272.34/272.39 converse(composition(A,top)) collapsed.
% 272.34/272.39 Rule
% 272.34/272.39 [566]
% 272.34/272.39 one join complement(converse(complement(complement(one) join A))) -> top
% 272.34/272.39 collapsed.
% 272.34/272.39 Rule
% 272.34/272.39 [567]
% 272.34/272.39 converse(A) join complement(converse(complement(complement(A) join B))) ->
% 272.34/272.39 top collapsed.
% 272.34/272.39 Rule
% 272.34/272.39 [568]
% 272.34/272.39 converse(complement(A)) join complement(converse(complement(composition(top,A))))
% 272.34/272.39 -> top collapsed.
% 272.34/272.39 Rule
% 272.34/272.39 [569]
% 272.34/272.39 complement(one) join complement(converse(complement(one join A))) -> top
% 272.34/272.39 collapsed.
% 272.34/272.39 Rule
% 272.34/272.39 [570]
% 272.34/272.39 converse(complement(A)) join complement(converse(complement(composition(A,top))))
% 272.34/272.39 -> top collapsed.
% 272.34/272.39 Rule
% 272.34/272.39 [571]
% 272.34/272.39 complement(converse(complement(converse(A) join B))) join complement(A) ->
% 272.34/272.39 top collapsed.
% 272.34/272.39 Rule
% 272.34/272.39 [572]
% 272.34/272.39 complement(converse(complement(converse(complement(A)) join B))) join A ->
% 272.34/272.39 top collapsed.
% 272.34/272.39 Rule
% 272.34/272.39 [608]
% 272.34/272.39 complement(converse(composition(complement(converse(A)),top))) join A -> A
% 272.34/272.39 collapsed.
% 272.34/272.39 Rule
% 272.34/272.39 [617]
% 272.34/272.39 converse(composition(complement(converse(A)),top)) join composition(A,top) ->
% 272.34/272.39 top collapsed.
% 272.34/272.39 Rule
% 272.34/272.39 [634] composition(composition(top,A),top) join complement(converse(A)) -> top
% 272.34/272.39 collapsed.
% 272.34/272.39 Rule
% 272.34/272.39 [636] composition(composition(top,complement(converse(A))),top) join A -> top
% 272.34/272.39 collapsed.
% 272.34/272.39 Rule
% 272.34/272.39 [684]
% 272.34/272.39 converse(composition(top,complement(converse(A)))) ->
% 272.34/272.39 composition(complement(A),top) collapsed.
% 272.34/272.39 Current number of equations to process: 3222
% 272.34/272.39 Current number of ordered equations: 0
% 272.34/272.39 Current number of rules: 363
% 272.34/272.39 New rule produced :
% 272.34/272.39 [686]
% 272.34/272.39 converse(composition(complement(composition(top,A)),converse(A))) -> zero
% 272.34/272.39 Current number of equations to process: 3221
% 272.34/272.39 Current number of ordered equations: 0
% 272.34/272.39 Current number of rules: 364
% 272.34/272.39 New rule produced :
% 272.34/272.39 [687]
% 272.34/272.39 converse(complement(composition(converse(A),B))) <->
% 272.34/272.39 complement(composition(converse(B),A))
% 272.34/272.39 Current number of equations to process: 3219
% 272.34/272.39 Current number of ordered equations: 1
% 272.34/272.39 Current number of rules: 365
% 272.34/272.39 New rule produced :
% 272.34/272.39 [688]
% 272.34/272.39 complement(composition(converse(B),A)) <->
% 272.34/272.39 converse(complement(composition(converse(A),B)))
% 272.34/272.39 Current number of equations to process: 3219
% 272.34/272.39 Current number of ordered equations: 0
% 272.34/272.39 Current number of rules: 366
% 272.34/272.39 New rule produced :
% 272.34/272.39 [689]
% 272.34/272.39 converse(composition(complement(A),converse(A))) join complement(one) ->
% 272.34/272.39 complement(one)
% 272.34/272.39 Current number of equations to process: 3216
% 272.34/272.39 Current number of ordered equations: 0
% 272.34/272.39 Current number of rules: 367
% 272.34/272.39 New rule produced :
% 272.34/272.39 [690]
% 272.34/272.39 converse(complement(composition(complement(A),converse(A)))) join complement(one)
% 272.34/272.39 -> top
% 272.34/272.39 Current number of equations to process: 3213
% 272.34/272.39 Current number of ordered equations: 0
% 272.34/272.39 Current number of rules: 368
% 272.34/272.39 New rule produced :
% 272.34/272.39 [691]
% 272.34/272.39 composition(composition(A,B),converse(complement(composition(top,B)))) ->
% 272.34/272.39 zero
% 272.34/272.39 Current number of equations to process: 3212
% 272.34/272.39 Current number of ordered equations: 0
% 272.34/272.39 Current number of rules: 369
% 272.34/272.39 New rule produced :
% 272.34/272.39 [692]
% 272.34/272.39 composition(complement(A),converse(A)) join complement(one) ->
% 272.34/272.39 complement(one)
% 272.34/272.39 Current number of equations to process: 3208
% 272.34/272.39 Current number of ordered equations: 0
% 272.34/272.39 Current number of rules: 370
% 272.34/272.39 New rule produced :
% 272.34/272.39 [693]
% 272.34/272.39 complement(one) join complement(composition(complement(A),converse(A))) ->
% 272.34/272.39 top
% 272.34/272.39 Current number of equations to process: 3209
% 272.34/272.39 Current number of ordered equations: 0
% 272.34/272.39 Current number of rules: 371
% 272.34/272.39 New rule produced :
% 272.34/272.39 [694]
% 272.34/272.39 one join converse(composition(complement(composition(complement(one),A)),
% 272.34/272.39 converse(A))) -> one
% 272.34/272.39 Current number of equations to process: 3220
% 272.34/272.39 Current number of ordered equations: 0
% 272.34/272.39 Current number of rules: 372
% 272.34/272.39 New rule produced :
% 272.34/272.39 [Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------