%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : RNG008-7 : TPTP v6.0.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n169.star.cs.uiowa.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory   : 32286.75MB
% OS       : Linux 2.6.32-431.11.2.el6.x86_64
% CPULimit : 300s
% DateTime : Tue Jun 10 00:31:39 EDT 2014

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

% Comments : 
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : RNG008-7 : TPTP v6.0.0. Released v1.0.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n169.star.cs.uiowa.edu
% % Model    : x86_64 x86_64
% % CPU      : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory   : 32286.75MB
% % OS       : Linux 2.6.32-431.11.2.el6.x86_64
% % CPULimit : 300
% % DateTime : Thu Jun  5 16:26:03 CDT 2014
% % CPUTime  : 300.05 
% Processing problem /tmp/CiME_49063_n169.star.cs.uiowa.edu
% #verbose 1;
% let F = signature "  add : AC; c,b,a,additive_identity : constant;  multiply : 2;  additive_inverse : 1;";
% let X = vars "X Y Z";
% let Axioms = equations F X "
% multiply(multiply(X,Y),Z) = multiply(X,multiply(Y,Z));
% additive_identity add X = X;
% X add additive_identity = X;
% additive_inverse(X) add X = additive_identity;
% X add additive_inverse(X) = additive_identity;
% multiply(X,Y add Z) = multiply(X,Y) add multiply(X,Z);
% multiply(X add Y,Z) = multiply(X,Z) add multiply(Y,Z);
% multiply(X,X) = X;
% multiply(a,b) = c;
% ";
% 
% let s1 = status F "
% c lr_lex;
% b lr_lex;
% a lr_lex;
% additive_inverse lr_lex;
% additive_identity lr_lex;
% multiply mul;
% add mul;
% ";
% 
% let p1 = precedence F "
% multiply > additive_inverse > add > additive_identity > a > b > c";
% 
% let s2 = status F "
% c mul;
% b mul;
% a mul;
% multiply mul;
% additive_inverse mul;
% add mul;
% additive_identity mul;
% ";
% 
% let p2 = precedence F "
% multiply > additive_inverse > add > additive_identity = a = b = c";
% 
% let o_auto = AUTO Axioms;
% 
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 
% let Conjectures = equations F X " multiply(b,a) = c;"
% ;
% (*
% let Red_Axioms = normalize_equations Defining_rules Axioms;
% 
% let Red_Conjectures =  normalize_equations Defining_rules Conjectures;
% *)
% #time on;
% 
% let res = prove_conj_by_ordered_completion o Axioms Conjectures;
% 
% #time off;
% 
% 
% let status = if res then "unsatisfiable" else "satisfiable";
% #quit;
% Verbose level is now 1
% 
% F : signature = <signature>
% X : variable_set = <variable set>
% 
% Axioms : (F,X) equations = { multiply(multiply(X,Y),Z) =
% multiply(X,multiply(Y,Z)),
% additive_identity add X = X,
% additive_identity add X = X,
% additive_inverse(X) add X = additive_identity,
% additive_inverse(X) add X = additive_identity,
% multiply(X,Y add Z) =
% multiply(X,Y) add multiply(X,Z),
% multiply(X add Y,Z) =
% multiply(X,Z) add multiply(Y,Z),
% multiply(X,X) = X,
% multiply(a,b) = c } (9 equation(s))
% s1 : F status = <status>
% p1 : F precedence = <precedence>
% s2 : F status = <status>
% p2 : F precedence = <precedence>
% o_auto : F term_ordering = <term ordering>
% o : F term_ordering = <term ordering>
% Conjectures : (F,X) equations = { multiply(b,a) = c } (1 equation(s))
% time is now on
% 
% Initializing completion ...
% New rule produced : [1] additive_identity add X -> X
% Current number of equations to process: 0
% Current number of ordered equations: 6
% Current number of rules: 1
% New rule produced : [2] multiply(X,X) -> X
% Current number of equations to process: 0
% Current number of ordered equations: 5
% Current number of rules: 2
% New rule produced : [3] multiply(a,b) -> c
% Current number of equations to process: 0
% Current number of ordered equations: 4
% Current number of rules: 3
% New rule produced : [4] additive_inverse(X) add X -> additive_identity
% Current number of equations to process: 0
% Current number of ordered equations: 3
% Current number of rules: 4
% New rule produced :
% [5] multiply(multiply(X,Y),Z) -> multiply(X,multiply(Y,Z))
% Current number of equations to process: 0
% Current number of ordered equations: 2
% Current number of rules: 5
% New rule produced :
% [6] multiply(X,Y add Z) -> multiply(X,Y) add multiply(X,Z)
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 6
% New rule produced :
% [7] multiply(X add Y,Z) -> multiply(X,Z) add multiply(Y,Z)
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced : [8] additive_inverse(additive_inverse(X)) -> X
% Current number of equations to process: 16
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [9] additive_inverse(additive_identity) -> additive_identity
% Current number of equations to process: 17
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [10] additive_inverse(X add Y) add Y -> additive_inverse(X)
% Current number of equations to process: 14
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced : [11] multiply(X,multiply(X,Y)) -> multiply(X,Y)
% Current number of equations to process: 16
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced : [12] multiply(a,multiply(b,X)) -> multiply(c,X)
% Current number of equations to process: 15
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [13] multiply(X,multiply(Y,multiply(X,Y))) -> multiply(X,Y)
% Current number of equations to process: 11
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [14] multiply(X,additive_identity) add multiply(X,Y) -> multiply(X,Y)
% Current number of equations to process: 14
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [15] multiply(additive_identity,Y) add multiply(X,Y) -> multiply(X,Y)
% Current number of equations to process: 17
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [16] additive_inverse(X add Y) -> additive_inverse(X) add additive_inverse(Y)
% Rule [10] additive_inverse(X add Y) add Y -> additive_inverse(X) collapsed.
% Current number of equations to process: 31
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced : [17] multiply(a,c) -> c
% Current number of equations to process: 31
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced : [18] multiply(c,b) -> c
% Current number of equations to process: 33
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced : [19] multiply(c,multiply(b,X)) -> multiply(c,X)
% Current number of equations to process: 33
% Current number of ordered equations: 1
% Current number of rules: 18
% New rule produced : [20] multiply(a,multiply(c,X)) -> multiply(c,X)
% Current number of equations to process: 33
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced : [21] multiply(b,multiply(c,a)) -> multiply(b,a)
% Current number of equations to process: 37
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced : [22] multiply(X,additive_identity) add X -> X
% Current number of equations to process: 38
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced : [23] c add multiply(a,additive_identity) -> c
% Current number of equations to process: 39
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced : [24] multiply(X,additive_identity) -> additive_identity
% Rule [14] multiply(X,additive_identity) add multiply(X,Y) -> multiply(X,Y)
% collapsed.
% Rule [22] multiply(X,additive_identity) add X -> X collapsed.
% Rule [23] c add multiply(a,additive_identity) -> c collapsed.
% Current number of equations to process: 42
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced : [25] multiply(additive_identity,X) add X -> X
% Current number of equations to process: 42
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced : [26] c add multiply(additive_identity,b) -> c
% Current number of equations to process: 43
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced : [27] multiply(additive_identity,X) -> additive_identity
% Rule [15] multiply(additive_identity,Y) add multiply(X,Y) -> multiply(X,Y)
% collapsed.
% Rule [25] multiply(additive_identity,X) add X -> X collapsed.
% Rule [26] c add multiply(additive_identity,b) -> c collapsed.
% Current number of equations to process: 46
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [28] multiply(c,multiply(X,multiply(b,X))) -> multiply(c,X)
% Current number of equations to process: 46
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [29] multiply(X,additive_inverse(Y)) add multiply(X,Y) -> additive_identity
% Current number of equations to process: 43
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [30] multiply(X,additive_inverse(X)) add X -> additive_identity
% Current number of equations to process: 52
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [31] c add multiply(a,additive_inverse(b)) -> additive_identity
% Current number of equations to process: 51
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [32] multiply(X,additive_inverse(Y)) -> additive_inverse(multiply(X,Y))
% Rule
% [29] multiply(X,additive_inverse(Y)) add multiply(X,Y) -> additive_identity
% collapsed.
% Rule [30] multiply(X,additive_inverse(X)) add X -> additive_identity
% collapsed.
% Rule [31] c add multiply(a,additive_inverse(b)) -> additive_identity
% collapsed.
% Current number of equations to process: 54
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [33] additive_inverse(multiply(additive_inverse(X),X)) -> additive_inverse(X)
% Current number of equations to process: 55
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [34]
% multiply(additive_inverse(X),X) add additive_inverse(X) -> additive_identity
% Current number of equations to process: 55
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced : [35] multiply(additive_inverse(X),X) -> X
% Rule
% [33] additive_inverse(multiply(additive_inverse(X),X)) -> additive_inverse(X)
% collapsed.
% Rule
% [34]
% multiply(additive_inverse(X),X) add additive_inverse(X) -> additive_identity
% collapsed.
% Current number of equations to process: 55
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [36] multiply(additive_inverse(X),multiply(X,Y)) -> multiply(X,Y)
% Current number of equations to process: 56
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced : [37] multiply(additive_inverse(a),c) -> c
% Current number of equations to process: 56
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [38] multiply(additive_inverse(a),multiply(c,X)) -> multiply(c,X)
% Current number of equations to process: 59
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced :
% [39]
% multiply(X,multiply(additive_inverse(X),Y)) ->
% multiply(additive_inverse(X),Y)
% Current number of equations to process: 58
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [40]
% multiply(a,multiply(additive_inverse(c),X)) ->
% multiply(additive_inverse(c),X)
% Current number of equations to process: 60
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [41]
% multiply(additive_inverse(multiply(X,Y)),Z) ->
% multiply(X,multiply(additive_inverse(Y),Z))
% Current number of equations to process: 58
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced :
% [42]
% multiply(a,multiply(additive_inverse(b),X)) ->
% multiply(additive_inverse(c),X)
% Current number of equations to process: 63
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [43]
% multiply(c,multiply(additive_inverse(b),X)) ->
% multiply(additive_inverse(c),X)
% Current number of equations to process: 62
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [44]
% multiply(additive_inverse(a),multiply(additive_inverse(c),X)) ->
% multiply(additive_inverse(c),X)
% Current number of equations to process: 61
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced : [45] multiply(additive_inverse(c),b) -> c
% Current number of equations to process: 66
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [46] multiply(additive_inverse(c),multiply(b,X)) -> multiply(c,X)
% Current number of equations to process: 66
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [47]
% multiply(additive_inverse(b),multiply(additive_inverse(c),a)) ->
% multiply(additive_inverse(b),a)
% Current number of equations to process: 65
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced :
% [48]
% multiply(additive_inverse(c),multiply(additive_inverse(b),X)) ->
% multiply(additive_inverse(c),X)
% Current number of equations to process: 64
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [49] multiply(additive_inverse(Y),X) add multiply(Y,X) -> additive_identity
% Current number of equations to process: 65
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced : [50] X add X -> additive_identity
% Current number of equations to process: 76
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [51] c add multiply(additive_inverse(a),b) -> additive_identity
% Current number of equations to process: 76
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [52] multiply(additive_inverse(X),Y) -> additive_inverse(multiply(X,Y))
% Rule [35] multiply(additive_inverse(X),X) -> X collapsed.
% Rule [36] multiply(additive_inverse(X),multiply(X,Y)) -> multiply(X,Y)
% collapsed.
% Rule [37] multiply(additive_inverse(a),c) -> c collapsed.
% Rule [38] multiply(additive_inverse(a),multiply(c,X)) -> multiply(c,X)
% collapsed.
% Rule
% [39]
% multiply(X,multiply(additive_inverse(X),Y)) ->
% multiply(additive_inverse(X),Y) collapsed.
% Rule
% [40]
% multiply(a,multiply(additive_inverse(c),X)) ->
% multiply(additive_inverse(c),X) collapsed.
% Rule
% [41]
% multiply(additive_inverse(multiply(X,Y)),Z) ->
% multiply(X,multiply(additive_inverse(Y),Z)) collapsed.
% Rule
% [42]
% multiply(a,multiply(additive_inverse(b),X)) ->
% multiply(additive_inverse(c),X) collapsed.
% Rule
% [43]
% multiply(c,multiply(additive_inverse(b),X)) ->
% multiply(additive_inverse(c),X) collapsed.
% Rule
% [44]
% multiply(additive_inverse(a),multiply(additive_inverse(c),X)) ->
% multiply(additive_inverse(c),X) collapsed.
% Rule [45] multiply(additive_inverse(c),b) -> c collapsed.
% Rule [46] multiply(additive_inverse(c),multiply(b,X)) -> multiply(c,X)
% collapsed.
% Rule
% [47]
% multiply(additive_inverse(b),multiply(additive_inverse(c),a)) ->
% multiply(additive_inverse(b),a) collapsed.
% Rule
% [48]
% multiply(additive_inverse(c),multiply(additive_inverse(b),X)) ->
% multiply(additive_inverse(c),X) collapsed.
% Rule
% [49] multiply(additive_inverse(Y),X) add multiply(Y,X) -> additive_identity
% collapsed.
% Rule [51] c add multiply(additive_inverse(a),b) -> additive_identity
% collapsed.
% Current number of equations to process: 84
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced : [53] additive_inverse(X) -> X
% Rule [4] additive_inverse(X) add X -> additive_identity collapsed.
% Rule [8] additive_inverse(additive_inverse(X)) -> X collapsed.
% Rule [9] additive_inverse(additive_identity) -> additive_identity collapsed.
% Rule
% [16] additive_inverse(X add Y) -> additive_inverse(X) add additive_inverse(Y)
% collapsed.
% Rule [32] multiply(X,additive_inverse(Y)) -> additive_inverse(multiply(X,Y))
% collapsed.
% Rule [52] multiply(additive_inverse(X),Y) -> additive_inverse(multiply(X,Y))
% collapsed.
% Current number of equations to process: 83
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [54] multiply(b,multiply(c,multiply(a,X))) -> multiply(b,multiply(a,X))
% Current number of equations to process: 73
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [55]
% multiply(X,multiply(Y,multiply(X,multiply(Y,Z)))) ->
% multiply(X,multiply(Y,Z))
% Current number of equations to process: 47
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [56] multiply(X,multiply(a,multiply(X,c))) -> multiply(X,c)
% Current number of equations to process: 47
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [57]
% multiply(c,multiply(X,multiply(b,multiply(X,Y)))) ->
% multiply(c,multiply(X,Y))
% Current number of equations to process: 54
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [58]
% multiply(X,multiply(a,multiply(X,multiply(c,Y)))) ->
% multiply(X,multiply(c,Y))
% Current number of equations to process: 55
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [59] multiply(X,Y) add multiply(Y,X) add X add Y -> X add Y
% Current number of equations to process: 49
% Current number of ordered equations: 0
% Current number of rules: 25
% multiply(X,Y) = multiply(Y,X) (birth = 1041, lhs_size = 3, rhs_size = 3,trace = Cp of 59 and 50)
% Initializing completion ...
% New rule produced : [1] X <-> additive_inverse(X)
% Current number of equations to process: 1
% Current number of ordered equations: 51
% Current number of rules: 1
% New rule produced : [2] additive_inverse(X) <-> X
% Current number of equations to process: 1
% Current number of ordered equations: 50
% Current number of rules: 2
% New rule produced : [3] X <-> additive_identity add X
% Current number of equations to process: 2
% Current number of ordered equations: 49
% Current number of rules: 3
% New rule produced : [4] X <-> X multiply X
% Current number of equations to process: 2
% Current number of ordered equations: 48
% Current number of rules: 4
% New rule produced : [5] c <-> c multiply a
% Current number of equations to process: 2
% Current number of ordered equations: 47
% Current number of rules: 5
% New rule produced : [6] c <-> c multiply b
% Current number of equations to process: 2
% Current number of ordered equations: 46
% Current number of rules: 6
% New rule produced : [7] c <-> b multiply a
% Current number of equations to process: 2
% Current number of ordered equations: 45
% Current number of rules: 7
% New rule produced : [8] additive_identity <-> X add X
% Current number of equations to process: 2
% Current number of ordered equations: 44
% Current number of rules: 8
% New rule produced : [9] additive_identity <-> additive_identity multiply X
% Current number of equations to process: 2
% Current number of ordered equations: 43
% Current number of rules: 9
% New rule produced : [10] (eq)(X,X) -> (true)
% Current number of equations to process: 2
% Current number of ordered equations: 42
% Current number of rules: 10
% New rule produced : [11] X add X <-> additive_identity
% Current number of equations to process: 2
% Current number of ordered equations: 41
% Current number of rules: 11
% New rule produced : [12] additive_identity add X <-> X
% Current number of equations to process: 2
% Current number of ordered equations: 40
% Current number of rules: 12
% New rule produced : [13] X multiply X <-> X
% Current number of equations to process: 2
% Current number of ordered equations: 39
% Current number of rules: 13
% New rule produced : [14] additive_identity multiply X <-> additive_identity
% Current number of equations to process: 2
% Current number of ordered equations: 38
% Current number of rules: 14
% New rule produced : [15] c multiply a <-> c
% Current number of equations to process: 2
% Current number of ordered equations: 37
% Current number of rules: 15
% New rule produced : [16] c multiply b <-> c
% Current number of equations to process: 2
% Current number of ordered equations: 36
% Current number of rules: 16
% New rule produced : [17] b multiply a <-> c
% Current number of equations to process: 2
% Current number of ordered equations: 35
% Current number of rules: 17
% New rule produced : [18] additive_identity <-> additive_inverse(X) add X
% Current number of equations to process: 84
% Current number of ordered equations: 50
% Current number of rules: 18
% New rule produced : [19] additive_inverse(X) add X <-> additive_identity
% Current number of equations to process: 84
% Current number of ordered equations: 49
% Current number of rules: 19
% New rule produced : [20] X multiply Y <-> (X multiply Y) multiply X
% Current number of equations to process: 101
% Current number of ordered equations: 200
% Current number of rules: 20
% New rule produced : [21] (X multiply Y) multiply X <-> X multiply Y
% Current number of equations to process: 101
% Current number of ordered equations: 199
% Current number of rules: 21
% New rule produced : [22] c multiply X <-> c multiply (b multiply X)
% Current number of equations to process: 101
% Current number of ordered equations: 198
% Current number of rules: 22
% New rule produced : [23] c multiply X <-> a multiply (b multiply X)
% Current number of equations to process: 101
% Current number of ordered equations: 197
% Current number of rules: 23
% New rule produced : [24] c multiply X <-> a multiply (c multiply X)
% Current number of equations to process: 101
% Current number of ordered equations: 196
% Current number of rules: 24
% New rule produced : [25] c multiply (b multiply X) <-> c multiply X
% Current number of equations to process: 101
% Current number of ordered equations: 195
% Current number of rules: 25
% New rule produced : [26] a multiply (b multiply X) <-> c multiply X
% Current number of equations to process: 101
% Current number of ordered equations: 194
% Current number of rules: 26
% New rule produced : [27] a multiply (c multiply X) <-> c multiply X
% Current number of equations to process: 101
% Current number of ordered equations: 193
% Current number of rules: 27
% New rule produced : [28] b multiply a <-> b multiply (c multiply a)
% Current number of equations to process: 101
% Current number of ordered equations: 192
% Current number of rules: 28
% New rule produced : [29] b multiply (c multiply a) <-> b multiply a
% Current number of equations to process: 101
% Current number of ordered equations: 191
% Current number of rules: 29
% (Y multiply Z) multiply X = (X multiply Y) multiply Z (birth = 0, lhs_size = 5, rhs_size = 5,trace = in the starting set)
% Initializing completion ...
% New rule produced : [1] X <-> additive_inverse(X)
% Current number of equations to process: 383
% Current number of ordered equations: 51
% Current number of rules: 1
% New rule produced : [2] additive_inverse(X) <-> X
% Current number of equations to process: 383
% Current number of ordered equations: 50
% Current number of rules: 2
% New rule produced : [3] X <-> additive_identity add X
% Current number of equations to process: 383
% Current number of ordered equations: 49
% Current number of rules: 3
% New rule produced : [4] X <-> X multiply X
% Current number of equations to process: 383
% Current number of ordered equations: 46
% Current number of rules: 4
% New rule produced : [5] c <-> c multiply a
% Current number of equations to process: 383
% Current number of ordered equations: 42
% Current number of rules: 5
% New rule produced : [6] c <-> c multiply b
% Current number of equations to process: 383
% Current number of ordered equations: 38
% Current number of rules: 6
% New rule produced : [7] c <-> b multiply a
% Current number of equations to process: 383
% Current number of ordered equations: 34
% Current number of rules: 7
% New rule produced : [8] additive_identity <-> X add X
% Current number of equations to process: 383
% Current number of ordered equations: 33
% Current number of rules: 8
% New rule produced : [9] additive_identity <-> additive_identity multiply X
% Current number of equations to process: 383
% Current number of ordered equations: 31
% Current number of rules: 9
% New rule produced : [10] (eq)(X,X) -> (true)
% Current number of equations to process: 383
% Current number of ordered equations: 30
% Current number of rules: 10
% New rule produced : [11] X add X <-> additive_identity
% Current number of equations to process: 383
% Current number of ordered equations: 29
% Current number of rules: 11
% New rule produced : [12] additive_identity add X <-> X
% Current number of equations to process: 383
% Current number of ordered equations: 28
% Current number of rules: 12
% New rule produced : [13] X multiply X <-> X
% Current number of equations to process: 383
% Current number of ordered equations: 25
% Current number of rules: 13
% New rule produced : [14] additive_identity multiply X <-> additive_identity
% Current number of equations to process: 383
% Current number of ordered equations: 23
% Current number of rules: 14
% New rule produced : [15] c multiply a <-> c
% Current number of equations to process: 383
% Current number of ordered equations: 19
% Current number of rules: 15
% New rule produced : [16] c multiply b <-> c
% Current number of equations to process: 383
% Current number of ordered equations: 15
% Current number of rules: 16
% New rule produced : [17] b multiply a <-> c
% Current number of equations to process: 383
% Current number of ordered equations: 11
% Current number of rules: 17
% New rule produced : [18] additive_identity <-> additive_inverse(X) add X
% Current number of equations to process: 616
% Current number of ordered equations: 44
% Current number of rules: 18
% New rule produced : [19] additive_inverse(X) add X <-> additive_identity
% Current number of equations to process: 616
% Current number of ordered equations: 43
% Current number of rules: 19
% New rule produced : [20] c multiply b multiply a <-> b multiply a
% Current number of equations to process: 478
% Current number of ordered equations: 437
% Current number of rules: 20
% New rule produced : [21] b multiply a <-> c multiply b multiply a
% Current number of equations to process: 478
% Current number of ordered equations: 435
% Current number of rules: 21
% New rule produced :
% [22] (eq)((X multiply Y) add (X multiply Y),additive_identity) -> (false)
% Current number of equations to process: 478
% Current number of ordered equations: 434
% Current number of rules: 22
% New rule produced :
% [23] (X multiply Y) add (X multiply Z) <-> (Y add Z) multiply X
% Current number of equations to process: 346
% Current number of ordered equations: 1005
% Current number of rules: 23
% New rule produced :
% [24] (Y add Z) multiply X <-> (X multiply Y) add (X multiply Z)
% Current number of equations to process: 346
% Current number of ordered equations: 1003
% Current number of rules: 24
% Rule [22]
% (eq)((X multiply Y) add (X multiply Y),additive_identity) -> (false) is composed into 
% [22] (eq)((X multiply Y) add (X multiply Y),additive_identity) -> (true)
% New rule produced : [25] (false) -> (true)
% The conjecture has been reduced. 
% Conjecture is now:
% Trivial
% 
% Current number of equations to process: 360
% Current number of ordered equations: 988
% Current number of rules: 25
% The current conjecture is true and the solution is the identity
% % SZS output start Refutation
% 
% The following 3 rules have been used:
% [11] 
% X add X <-> additive_identity; trace = in the starting set
% [22] (eq)((X multiply Y) add (X multiply Y),additive_identity) -> (false); trace = in the starting set
% [25] (false) -> (true); trace = Cp of 22 and 11
% New rule produced :
% [26] (eq)(X,(X multiply Y) add (X multiply Y) add X) -> (true)
% Current number of equations to process: 317
% Current number of ordered equations: 988
% Current number of rules: 26
% New rule produced : [27] X <-> additive_inverse(additive_inverse(X))
% Current number of equations to process: 317
% Current number of ordered equations: 985
% Current number of rules: 27
% New rule produced : [28] additive_inverse(additive_inverse(X)) <-> X
% Current number of equations to process: 317
% Current number of ordered equations: 982
% Current number of rules: 28
% New rule produced : [29] additive_inverse(X) <-> additive_identity add X
% Current number of equations to process: 317
% Current number of ordered equations: 980
% Current number of rules: 29
% New rule produced : [30] additive_inverse(X) <-> X multiply X
% Current number of equations to process: 317
% Current number of ordered equations: 978
% Current number of rules: 30
% New rule produced : [31] additive_inverse(additive_identity) <-> X add X
% Current number of equations to process: 317
% Current number of ordered equations: 975
% Current number of rules: 31
% New rule produced :
% [32] additive_inverse(additive_identity) <-> additive_identity multiply X
% Current number of equations to process: 317
% Current number of ordered equations: 972
% Current number of rules: 32
% New rule produced : [33] additive_inverse(c) <-> c multiply a
% Current number of equations to process: 317
% Current number of ordered equations: 968
% Current number of rules: 33
% New rule produced : [34] additive_inverse(c) <-> c multiply b
% Current number of equations to process: 317
% Current number of ordered equations: 965
% Current number of rules: 34
% New rule produced : [35] additive_inverse(c) <-> b multiply a
% Current number of equations to process: 317
% Current number of ordered equations: 962
% Current number of rules: 35
% New rule produced : [36] X add X <-> additive_inverse(additive_identity)
% Current number of equations to process: 317
% Current number of ordered equations: 959
% Current number of rules: 36
% New rule produced : [37] additive_identity add X <-> additive_inverse(X)
% Current number of equations to process: 317
% Current number of ordered equations: 957
% Current number of rules: 37
% New rule produced : [38] X multiply X <-> additive_inverse(X)
% Current number of equations to process: 317
% Current number of ordered equations: 955
% Current number of rules: 38
% New rule produced :
% [39] additive_identity multiply X <-> additive_inverse(additive_identity)
% Current number of equations to process: 317
% Current number of ordered equations: 952
% Current number of rules: 39
% New rule produced : [40] c multiply a <-> additive_inverse(c)
% Current number of equations to process: 317
% Current number of ordered equations: 948
% Current number of rules: 40
% New rule produced : [41] c multiply b <-> additive_inverse(c)
% Current number of equations to process: 317
% Current number of ordered equations: 945
% Current number of rules: 41
% New rule produced : [42] b multiply a <-> additive_inverse(c)
% Current number of equations to process: 317
% Current number of ordered equations: 942
% Current number of rules: 42
% New rule produced : [43] X <-> additive_inverse(additive_identity add X)
% Current number of equations to process: 317
% Current number of ordered equations: 939
% Current number of rules: 43
% New rule produced : [44] X <-> additive_inverse(X multiply X)
% Current number of equations to process: 317
% Current number of ordered equations: 936
% Current number of rules: 44
% New rule produced : [45] X <-> additive_identity add additive_inverse(X)
% Current number of equations to process: 317
% Current number of ordered equations: 934
% Current number of rules: 45
% New rule produced : [46] X <-> additive_inverse(additive_identity) add X
% Current number of equations to process: 317
% Current number of ordered equations: 931
% Current number of rules: 46
% New rule produced : [47] c <-> additive_inverse(b multiply a)
% Current number of equations to process: 317
% Current number of ordered equations: 928
% Current number of rules: 47
% New rule produced : [48] c <-> additive_inverse(c multiply b)
% Current number of equations to process: 317
% Current number of ordered equations: 925
% Current number of rules: 48
% New rule produced : [49] c <-> additive_inverse(c multiply a)
% Current number of equations to process: 317
% Current number of ordered equations: 922
% Current number of rules: 49
% New rule produced : [50] c <-> c multiply additive_inverse(b)
% Current number of equations to process: 317
% Current number of ordered equations: 917
% Current number of rules: 50
% New rule produced : [51] c <-> c multiply additive_inverse(a)
% Current number of equations to process: 317
% Current number of ordered equations: 912
% Current number of rules: 51
% New rule produced : [52] c <-> a multiply additive_inverse(b)
% Current number of equations to process: 317
% Current number of ordered equations: 907
% Current number of rules: 52
% New rule produced : [53] c <-> a multiply additive_inverse(c)
% Current number of equations to process: 317
% Current number of ordered equations: 902
% Current number of rules: 53
% New rule produced : [54] c <-> b multiply additive_inverse(c)
% Current number of equations to process: 317
% Current number of ordered equations: 897
% Current number of rules: 54
% New rule produced : [55] c <-> b multiply additive_inverse(a)
% Current number of equations to process: 317
% Current number of ordered equations: 892
% Current number of rules: 55
% New rule produced :
% [56] additive_identity <-> additive_inverse(additive_identity multiply X)
% Current number of equations to process: 317
% Current number of ordered equations: 889
% Current number of rules: 56
% New rule produced : [57] additive_identity <-> additive_inverse(X add X)
% Current number of equations to process: 317
% Current number of ordered equations: 887
% Current number of rules: 57
% New rule produced :
% [58] additive_identity <-> additive_inverse(additive_identity) multiply X
% Current number of equations to process: 317
% Current number of ordered equations: 883
% Current number of rules: 58
% New rule produced : [59] additive_inverse(additive_identity add X) <-> X
% Current number of equations to process: 317
% Current number of ordered equations: 880
% Current number of rules: 59
% New rule produced : [60] additive_inverse(X multiply X) <-> X
% Current number of equations to process: 317
% Current number of ordered equations: 877
% Current number of rules: 60
% New rule produced : [61] additive_inverse(b multiply a) <-> c
% Current number of equations to process: 317
% Current number of ordered equations: 874
% Current number of rules: 61
% New rule produced :
% [62] additive_inverse(additive_identity multiply X) <-> additive_identity
% Current number of equations to process: 317
% Current number of ordered equations: 871
% Current number of rules: 62
% New rule produced : [63] additive_inverse(c multiply b) <-> c
% Current number of equations to process: 317
% Current number of ordered equations: 868
% Current number of rules: 63
% New rule produced : [64] additive_inverse(c multiply a) <-> c
% Current number of equations to process: 317
% Current number of ordered equations: 865
% Current number of rules: 64
% New rule produced : [65] additive_inverse(X add X) <-> additive_identity
% Current number of equations to process: 317
% Current number of ordered equations: 863
% Current number of rules: 65
% New rule produced : [66] X add X <-> Y add Y
% Current number of equations to process: 317
% Current number of ordered equations: 845
% Current number of rules: 66
% New rule produced : [67] X add X <-> additive_identity multiply Y
% Current number of equations to process: 317
% Current number of ordered equations: 839
% Current number of rules: 67
% New rule produced : [68] additive_identity add X <-> X multiply X
% Current number of equations to process: 317
% Current number of ordered equations: 837
% Current number of rules: 68
% New rule produced : [69] additive_identity add additive_inverse(X) <-> X
% Current number of equations to process: 317
% Current number of ordered equations: 835
% Current number of rules: 69
% New rule produced : [70] c add additive_identity <-> c multiply a
% Current number of equations to process: 317
% Current number of ordered equations: 832
% Current number of rules: 70
% New rule produced : [71] c add additive_identity <-> c multiply b
% Current number of equations to process: 317
% Current number of ordered equations: 829
% Current number of rules: 71
% New rule produced : [72] c add additive_identity <-> b multiply a
% Current number of equations to process: 317
% Current number of ordered equations: 826
% Current number of rules: 72
% New rule produced : [73] additive_inverse(additive_identity) add X <-> X
% Current number of equations to process: 317
% Current number of ordered equations: 823
% Current number of rules: 73
% New rule produced : [74] X multiply X <-> additive_identity add X
% Current number of equations to process: 317
% Current number of ordered equations: 821
% Current number of rules: 74
% New rule produced :
% [75] additive_identity multiply X <-> additive_identity add additive_identity
% Current number of equations to process: 317
% Current number of ordered equations: 819
% Current number of rules: 75
% New rule produced :
% [76] additive_identity multiply X <-> additive_identity multiply Y
% Current number of equations to process: 317
% Current number of ordered equations: 725
% Current number of rules: 76
% New rule produced : [77] additive_identity multiply Y <-> X add X
% Rule
% [75] additive_identity multiply X <-> additive_identity add additive_identity
% collapsed.
% Current number of equations to process: 317
% Current number of ordered equations: 721
% Current number of rules: 76
% New rule produced : [78] c multiply c <-> c multiply a
% Current number of equations to process: 317
% Current number of ordered equations: 714
% Current number of rules: 77
% New rule produced : [79] c multiply c <-> c multiply b
% Current number of equations to process: 317
% Current number of ordered equations: 706
% Current number of rules: 78
% New rule produced : [80] c multiply c <-> b multiply a
% Current number of equations to process: 317
% Current number of ordered equations: 700
% Current number of rules: 79
% New rule produced : [81] c multiply a <-> c add additive_identity
% Current number of equations to process: 317
% Current number of ordered equations: 697
% Current number of rules: 80
% New rule produced : [82] c multiply a <-> c multiply c
% Current number of equations to process: 317
% Current number of ordered equations: 690
% Current number of rules: 81
% New rule produced : [83] c multiply a <-> c multiply b
% Current number of equations to process: 317
% Current number of ordered equations: 685
% Current number of rules: 82
% New rule produced : [84] c multiply a <-> b multiply a
% Current number of equations to process: 317
% Current number of ordered equations: 675
% Current number of rules: 83
% New rule produced : [85] c multiply b <-> c add additive_identity
% Current number of equations to process: 317
% Current number of ordered equations: 672
% Current number of rules: 84
% New rule produced : [86] c multiply b <-> c multiply c
% Current number of equations to process: 317
% Current number of ordered equations: 664
% Current number of rules: 85
% New rule produced : [87] c multiply b <-> c multiply a
% Current number of equations to process: 317
% Current number of ordered equations: 659
% Current number of rules: 86
% New rule produced : [88] c multiply b <-> b multiply a
% Current number of equations to process: 317
% Current number of ordered equations: 649
% Current number of rules: 87
% New rule produced : [89] c multiply additive_inverse(b) <-> c
% Current number of equations to process: 317
% Current number of ordered equations: 644
% Current number of rules: 88
% New rule produced : [90] c multiply additive_inverse(a) <-> c
% Current number of equations to process: 317
% Current number of ordered equations: 639
% Current number of rules: 89
% New rule produced : [91] a multiply additive_inverse(b) <-> c
% Current number of equations to process: 317
% Current number of ordered equations: 634
% Current number of rules: 90
% New rule produced : [92] a multiply additive_inverse(c) <-> c
% Current number of equations to process: 317
% Current number of ordered equations: 629
% Current number of rules: 91
% New rule produced : [93] b multiply a <-> c add additive_identity
% Current number of equations to process: 317
% Current number of ordered equations: 626
% Current number of rules: 92
% New rule produced : [94] b multiply a <-> c multiply c
% Current number of equations to process: 317
% Current number of ordered equations: 620
% Current number of rules: 93
% New rule produced : [95] b multiply a <-> c multiply a
% Current number of equations to process: 317
% Current number of ordered equations: 610
% Current number of rules: 94
% New rule produced : [96] b multiply a <-> c multiply b
% Current number of equations to process: 317
% Current number of ordered equations: 600
% Current number of rules: 95
% New rule produced : [97] b multiply additive_inverse(c) <-> c
% Current number of equations to process: 317
% Current number of ordered equations: 595
% Current number of rules: 96
% New rule produced : [98] b multiply additive_inverse(a) <-> c
% Current number of equations to process: 317
% Current number of ordered equations: 590
% Current number of rules: 97
% New rule produced :
% [99] additive_inverse(additive_identity) multiply X <-> additive_identity
% Current number of equations to process: 317
% Current number of ordered equations: 586
% Current number of rules: 98
% New rule produced :
% [100] additive_inverse(additive_identity) <-> additive_inverse(X) add X
% Current number of equations to process: 317
% Current number of ordered equations: 585
% Current number of rules: 99
% New rule produced :
% [101] additive_inverse(X) add X <-> additive_inverse(additive_identity)
% Current number of equations to process: 317
% Current number of ordered equations: 584
% Current number of rules: 100
% New rule produced : [102] X <-> X multiply X multiply X
% Current number of equations to process: 317
% Current number of ordered equations: 581
% Current number of rules: 101
% New rule produced : [103] X <-> additive_identity add (X multiply X)
% Current number of equations to process: 317
% Current number of ordered equations: 578
% Current number of rules: 102
% New rule produced :
% [104] X <-> additive_inverse(X) multiply additive_inverse(X)
% Current number of equations to process: 317
% Current number of ordered equations: 576
% Current number of rules: 103
% New rule produced :
% [105] X <-> (additive_identity multiply additive_identity) add X
% Current number of equations to process: 317
% Current number of ordered equations: 573
% Current number of rules: 104
% New rule produced : [106] X <-> additive_identity add additive_identity add X
% Current number of equations to process: 317
% Current number of ordered equations: 570
% Current number of rules: 105
% New rule produced : [107] Y <-> (additive_identity multiply X) add Y
% Rule [105] X <-> (additive_identity multiply additive_identity) add X
% collapsed.
% Current number of equations to process: 317
% Current number of ordered equations: 564
% Current number of rules: 105
% New rule produced : [108] Y <-> X add X add Y
% Rule [106] X <-> additive_identity add additive_identity add X collapsed.
% Current number of equations to process: 317
% Current number of ordered equations: 553
% Current number of rules: 105
% New rule produced : [109] c <-> additive_identity add (b multiply a)
% Current number of equations to process: 317
% Current number of ordered equations: 550
% Current number of rules: 106
% New rule produced : [110] c <-> additive_identity add (c multiply b)
% Current number of equations to process: 317
% Current number of ordered equations: 547
% Current number of rules: 107
% New rule produced : [111] c <-> additive_identity add (c multiply a)
% Current number of equations to process: 317
% Current number of ordered equations: 544
% Current number of rules: 108
% New rule produced : [112] c <-> c multiply c multiply a
% Current number of equations to process: 317
% Current number of ordered equations: 537
% Current number of rules: 109
% New rule produced : [113] c <-> c multiply c multiply b
% Current number of equations to process: 317
% Current number of ordered equations: 529
% Current number of rules: 110
% New rule produced : [114] c <-> c multiply a multiply a
% Current number of equations to process: 317
% Current number of ordered equations: 524
% Current number of rules: 111
% New rule produced : [115] c <-> c multiply b multiply a
% Current number of equations to process: 317
% Current number of ordered equations: 512
% Current number of rules: 112
% New rule produced : [116] c <-> c multiply b multiply b
% Current number of equations to process: 317
% Current number of ordered equations: 504
% Current number of rules: 113
% New rule produced : [117] c <-> b multiply a multiply a
% Current number of equations to process: 317
% Current number of ordered equations: 496
% Current number of rules: 114
% New rule produced : [118] c <-> b multiply b multiply a
% Current number of equations to process: 317
% Current number of ordered equations: 488
% Current number of rules: 115
% New rule produced : [119] c <-> (c add additive_identity) multiply a
% Current number of equations to process: 317
% Current number of ordered equations: 483
% Current number of rules: 116
% New rule produced : [120] c <-> (c add additive_identity) multiply b
% Current number of equations to process: 317
% Current number of ordered equations: 478
% Current number of rules: 117
% New rule produced : [121] c <-> (a add additive_identity) multiply c
% Current number of equations to process: 317
% Current number of ordered equations: 473
% Current number of rules: 118
% New rule produced : [122] c <-> (a add additive_identity) multiply b
% Current number of equations to process: 317
% Current number of ordered equations: 468
% Current number of rules: 119
% New rule produced : [123] c <-> (b add additive_identity) multiply c
% Current number of equations to process: 317
% Current number of ordered equations: 463
% Current number of rules: 120
% New rule produced : [124] c <-> (b add additive_identity) multiply a
% Current number of equations to process: 317
% Current number of ordered equations: 458
% Current number of rules: 121
% New rule produced :
% [125] additive_identity <-> additive_inverse(additive_inverse(X) add X)
% Current number of equations to process: 317
% Current number of ordered equations: 455
% Current number of rules: 122
% New rule produced :
% [126] additive_identity <-> additive_inverse(additive_inverse(X)) add X
% Current number of equations to process: 317
% Current number of ordered equations: 450
% Current number of rules: 123
% New rule produced :
% [127]
% additive_identity <-> (additive_identity add additive_identity) multiply X
% Current number of equations to process: 317
% Current number of ordered equations: 446
% Current number of rules: 124
% New rule produced : [128] additive_identity <-> (X add X) multiply Y
% Rule
% [127]
% additive_identity <-> (additive_identity add additive_identity) multiply X
% collapsed.
% Current number of equations to process: 317
% Current number of ordered equations: 440
% Current number of rules: 124
% New rule produced :
% [129] additive_inverse(additive_inverse(X) add X) <-> additive_identity
% Current number of equations to process: 317
% Current number of ordered equations: 437
% Current number of rules: 125
% New rule produced : [130] X multiply X multiply X <-> X
% Current number of equations to process: 317
% Current number of ordered equations: 434
% Current number of rules: 126
% New rule produced : [131] X add X <-> additive_inverse(Y) add Y
% Current number of equations to process: 317
% Current number of ordered equations: 424
% Current number of rules: 127
% New rule produced : [132] additive_identity add (X multiply X) <-> X
% Current number of equations to process: 317
% Current number of ordered equations: 421
% Current number of rules: 128
% New rule produced : [133] additive_identity add (b multiply a) <-> c
% Current number of equations to process: 317
% Current number of ordered equations: 418
% Current number of rules: 129
% New rule produced :
% [134]
% additive_identity add (additive_identity multiply X) <-> additive_identity
% Current number of equations to process: 317
% Current number of ordered equations: 415
% Current number of rules: 130
% New rule produced : [135] additive_identity add (c multiply b) <-> c
% Current number of equations to process: 317
% Current number of ordered equations: 412
% Current number of rules: 131
% New rule produced : [136] additive_identity add (c multiply a) <-> c
% Current number of equations to process: 317
% Current number of ordered equations: 409
% Current number of rules: 132
% New rule produced :
% [137] additive_inverse(X) add X <-> additive_identity add additive_identity
% Current number of equations to process: 317
% Current number of ordered equations: 404
% Current number of rules: 133
% New rule produced :
% [138]
% additive_inverse(X) add X <-> additive_identity multiply additive_identity
% Current number of equations to process: 317
% Current number of ordered equations: 401
% Current number of rules: 134
% New rule produced : [139] c multiply c multiply a <-> c
% Current number of equations to process: 317
% Current number of ordered equations: 394
% Current number of rules: 135
% New rule produced : [140] c multiply c multiply b <-> c
% Current number of equations to process: 317
% Current number of ordered equations: 386
% Current number of rules: 136
% New rule produced : [141] c multiply a multiply a <-> c
% Current number of equations to process: 317
% Current number of ordered equations: 381
% Current number of rules: 137
% New rule produced : [142] c multiply b multiply a <-> c
% Current number of equations to process: 317
% Current number of ordered equations: 369
% Current number of rules: 138
% New rule produced : [143] c multiply b multiply b <-> c
% Current number of equations to process: 317
% Current number of ordered equations: 361
% Current number of rules: 139
% New rule produced : [144] additive_inverse(Y) add Y <-> X add X
% Rule
% [137] additive_inverse(X) add X <-> additive_identity add additive_identity
% collapsed.
% Current number of equations to process: 317
% Current number of ordered equations: 356
% Current number of rules: 139
% New rule produced :
% [145] additive_inverse(Y) add Y <-> additive_identity multiply X
% Rule
% [138]
% additive_inverse(X) add X <-> additive_identity multiply additive_identity
% collapsed.
% Current number of equations to process: 317
% Current number of ordered equations: 353
% Current number of rules: 139
% New rule produced :
% [146] additive_inverse(additive_inverse(X)) add X <-> additive_identity
% Current number of equations to process: 317
% Current number of ordered equations: 348
% Current number of rules: 140
% New rule produced : [147] b multiply a multiply a <-> c
% Current number of equations to process: 317
% Current number of ordered equations: 340
% Current number of rules: 141
% New rule produced : [148] b multiply b multiply a <-> c
% Current number of equations to process: 317
% Current number of ordered equations: 332
% Current number of rules: 142
% New rule produced :
% [149] additive_identity multiply X <-> additive_inverse(Y) add Y
% Current number of equations to process: 317
% Current number of ordered equations: 326
% Current number of rules: 143
% New rule produced :
% [150] additive_inverse(X) multiply additive_inverse(X) <-> X
% Current number of equations to process: 317
% Current number of ordered equations: 324
% Current number of rules: 144
% New rule produced : [151] (additive_identity multiply X) add Y <-> Y
% Rule
% [134]
% additive_identity add (additive_identity multiply X) <-> additive_identity
% collapsed.
% Current number of equations to process: 317
% Current number of ordered equations: 318
% Current number of rules: 144
% New rule produced :
% [152]
% (additive_identity add additive_identity) multiply X <-> additive_identity
% Current number of equations to process: 317
% Current number of ordered equations: 314
% Current number of rules: 145
% New rule produced : [153] X add X add Y <-> Y
% Current number of equations to process: 317
% Current number of ordered equations: 300
% Current number of rules: 146
% New rule produced : [154] (c add additive_identity) multiply a <-> c
% Current number of equations to process: 317
% Current number of ordered equations: 295
% Current number of rules: 147
% New rule produced : [155] (c add additive_identity) multiply b <-> c
% Current number of equations to process: 317
% Current number of ordered equations: 290
% Current number of rules: 148
% New rule produced : [156] (X add X) multiply Y <-> additive_identity
% Rule
% [152]
% (additive_identity add additive_identity) multiply X <-> additive_identity
% collapsed.
% Current number of equations to process: 317
% Current number of ordered equations: 284
% Current number of rules: 148
% New rule produced : [157] (a add additive_identity) multiply c <-> c
% Current number of equations to process: 317
% Current number of ordered equations: 279
% Current number of rules: 149
% New rule produced : [158] (a add additive_identity) multiply b <-> c
% Current number of equations to process: 317
% Current number of ordered equations: 274
% Current number of rules: 150
% New rule produced : [159] (b add additive_identity) multiply c <-> c
% Current number of equations to process: 317
% Current number of ordered equations: 269
% Current number of rules: 151
% New rule produced : [160] (b add additive_identity) multiply a <-> c
% Current number of equations to process: 317
% Current number of ordered equations: 264
% Current number of rules: 152
% New rule produced :
% [161] (eq)((X multiply X) add X,additive_identity) -> (true)
% Current number of equations to process: 316
% Current number of ordered equations: 264
% Current number of rules: 153
% New rule produced :
% [162]
% (eq)(additive_identity add (additive_identity multiply X),additive_identity)
% -> (true)
% Current number of equations to process: 315
% Current number of ordered equations: 264
% Current number of rules: 154
% New rule produced :
% [163] (eq)(c add (c multiply a),additive_identity) -> (true)
% Current number of equations to process: 314
% Current number of ordered equations: 264
% Current number of rules: 155
% New rule produced :
% [164] (eq)(c add (c multiply b),additive_identity) -> (true)
% Current number of equations to process: 313
% Current number of ordered equations: 264
% Current number of rules: 156
% New rule produced :
% [165] (eq)(c add (b multiply a),additive_identity) -> (true)
% Current number of equations to process: 312
% Current number of ordered equations: 264
% Current number of rules: 157
% New rule produced :
% [166] additive_inverse(X) add X <-> additive_inverse(Y) add Y
% Current number of equations to process: 312
% Current number of ordered equations: 260
% Current number of rules: 158
% New rule produced : [167] Y <-> additive_inverse(X) add X add Y
% Current number of equations to process: 312
% Current number of ordered equations: 255
% Current number of rules: 159
% New rule produced :
% [168] additive_identity <-> additive_identity add additive_inverse(X add X)
% Current number of equations to process: 312
% Current number of ordered equations: 251
% Current number of rules: 160
% New rule produced :
% [169] additive_identity <-> (additive_inverse(X) add X) multiply Y
% Current number of equations to process: 312
% Current number of ordered equations: 249
% Current number of rules: 161
% New rule produced :
% [170] additive_identity <-> additive_inverse(additive_identity add X) add X
% Current number of equations to process: 312
% Current number of ordered equations: 246
% Current number of rules: 162
% New rule produced :
% [171] additive_identity add additive_inverse(X add X) <-> additive_identity
% Current number of equations to process: 312
% Current number of ordered equations: 242
% Current number of rules: 163
% New rule produced :
% [172] (additive_inverse(X) add X) multiply Y <-> additive_identity
% Current number of equations to process: 312
% Current number of ordered equations: 240
% Current number of rules: 164
% New rule produced :
% [173] additive_inverse(additive_identity add X) add X <-> additive_identity
% Current number of equations to process: 312
% Current number of ordered equations: 237
% Current number of rules: 165
% New rule produced :
% [174] additive_identity add additive_inverse(X) add X <-> additive_identity
% Current number of equations to process: 312
% Current number of ordered equations: 234
% Current number of rules: 166
% New rule produced : [175] additive_inverse(X) add X add Y <-> Y
% Rule
% [174] additive_identity add additive_inverse(X) add X <-> additive_identity
% collapsed.
% Current number of equations to process: 312
% Current number of ordered equations: 232
% Current number of rules: 166
% New rule produced : [176] X multiply Y multiply Y <-> X multiply Y
% Current number of equations to process: 312
% Current number of ordered equations: 231
% Current number of rules: 167
% New rule produced : [177] X multiply Y <-> X multiply Y multiply Y
% Current number of equations to process: 312
% Current number of ordered equations: 230
% Current number of rules: 168
% New rule produced :
% [178] additive_inverse(X multiply Y) <-> X multiply X multiply Y
% Current number of equations to process: 312
% Current number of ordered equations: 229
% Current number of rules: 169
% New rule produced :
% [179] additive_inverse(b multiply a) <-> c multiply b multiply a
% Current number of equations to process: 312
% Current number of ordered equations: 226
% Current number of rules: 170
% New rule produced :
% [180] additive_inverse(c multiply X) <-> c multiply a multiply X
% Current number of equations to process: 312
% Current number of ordered equations: 224
% Current number of rules: 171
% New rule produced :
% [181] additive_inverse(c multiply X) <-> c multiply b multiply X
% Current number of equations to process: 312
% Current number of ordered equations: 223
% Current number of rules: 172
% New rule produced :
% [182] additive_inverse(c multiply X) <-> b multiply a multiply X
% Current number of equations to process: 312
% Current number of ordered equations: 221
% Current number of rules: 173
% New rule produced :
% [183] X multiply X multiply Y <-> additive_inverse(X multiply Y)
% Current number of equations to process: 312
% Current number of ordered equations: 220
% Current number of rules: 174
% New rule produced :
% [184] c multiply a multiply X <-> additive_inverse(c multiply X)
% Current number of equations to process: 312
% Current number of ordered equations: 218
% Current number of rules: 175
% New rule produced :
% [185] c multiply b multiply X <-> additive_inverse(c multiply X)
% Current number of equations to process: 312
% Current number of ordered equations: 217
% Current number of rules: 176
% New rule produced :
% [186] c multiply b multiply a <-> additive_inverse(b multiply a)
% Current number of equations to process: 312
% Current number of ordered equations: 214
% Current number of rules: 177
% New rule produced :
% [187] c multiply b multiply a <-> a multiply additive_inverse(b)
% Current number of equations to process: 312
% Current number of ordered equations: 211
% Current number of rules: 178
% New rule produced :
% [188] c multiply b multiply a <-> b multiply additive_inverse(a)
% Current number of equations to process: 312
% Current number of ordered equations: 208
% Current number of rules: 179
% New rule produced :
% [189] b multiply a multiply X <-> additive_inverse(c multiply X)
% Current number of equations to process: 312
% Current number of ordered equations: 206
% Current number of rules: 180
% New rule produced :
% [190] a multiply additive_inverse(b) <-> c multiply b multiply a
% Current number of equations to process: 312
% Current number of ordered equations: 203
% Current number of rules: 181
% New rule produced :
% [191] b multiply additive_inverse(a) <-> c multiply b multiply a
% Current number of equations to process: 312
% Current number of ordered equations: 200
% Current number of rules: 182
% New rule produced :
% [192] X <-> (additive_identity add X) multiply (additive_identity add X)
% Current number of equations to process: 312
% Current number of ordered equations: 198
% Current number of rules: 183
% New rule produced : [193] X <-> X multiply X multiply X multiply X
% Current number of equations to process: 312
% Current number of ordered equations: 196
% Current number of rules: 184
% New rule produced : [194] c <-> b multiply b multiply a multiply a
% Current number of equations to process: 312
% Current number of ordered equations: 194
% Current number of rules: 185
% New rule produced : [195] c <-> c multiply c multiply a multiply a
% Current number of equations to process: 312
% Current number of ordered equations: 192
% Current number of rules: 186
% New rule produced : [196] c <-> c multiply c multiply b multiply b
% Current number of equations to process: 312
% Current number of ordered equations: 190
% Current number of rules: 187
% New rule produced :
% [197]
% additive_identity <->
% additive_identity add additive_inverse(additive_inverse(X) add X)
% Current number of equations to process: 312
% Current number of ordered equations: 188
% Current number of rules: 188
% New rule produced :
% [198]
% additive_identity <->
% (additive_inverse(X) multiply additive_inverse(X)) add X
% Current number of equations to process: 312
% Current number of ordered equations: 186
% Current number of rules: 189
% New rule produced :
% [199] additive_inverse(X add X add Y) <-> additive_identity add Y
% Current number of equations to process: 312
% Current number of ordered equations: 184
% Current number of rules: 190
% New rule produced :
% [200] additive_inverse(c multiply b multiply X) <-> c multiply X
% Current number of equations to process: 312
% Current number of ordered equations: 182
% Current number of rules: 191
% New rule produced :
% [201] additive_inverse(c multiply a multiply X) <-> c multiply X
% Current number of equations to process: 312
% Current number of ordered equations: 180
% Current number of rules: 192
% New rule produced :
% [202] additive_inverse(X multiply X multiply Y) <-> X multiply Y
% Current number of equations to process: 312
% Current number of ordered equations: 178
% Current number of rules: 193
% New rule produced :
% [203] additive_inverse(b multiply a multiply X) <-> c multiply X
% Current number of equations to process: 312
% Current number of ordered equations: 176
% Current number of rules: 194
% New rule produced :
% [204] additive_inverse(c multiply b multiply a) <-> b multiply a
% Current number of equations to process: 312
% Current number of ordered equations: 174
% Current number of rules: 195
% New rule produced : [205] X multiply X multiply Y <-> X multiply Y multiply Y
% Current number of equations to process: 312
% Current number of ordered equations: 170
% Current number of rules: 196
% New rule produced :
% [206] X multiply X multiply Y <-> additive_identity add (X multiply Y)
% Current number of equations to process: 312
% Current number of ordered equations: 169
% Current number of rules: 197
% New rule produced : [207] c multiply X multiply X <-> c multiply a multiply X
% Current number of equations to process: 312
% Current number of ordered equations: 167
% Current number of rules: 198
% New rule produced : [208] c multiply X multiply X <-> c multiply b multiply X
% Current number of equations to process: 312
% Current number of ordered equations: 165
% Current number of rules: 199
% New rule produced : [209] c multiply X multiply X <-> b multiply a multiply X
% Current number of equations to process: 312
% Current number of ordered equations: 163
% Current number of rules: 200
% New rule produced :
% [210] additive_identity add Y <-> additive_inverse(X add X add Y)
% Current number of equations to process: 312
% Current number of ordered equations: 161
% Current number of rules: 201
% New rule produced :
% [211] additive_identity add (X multiply Y) <-> X multiply X multiply Y
% Current number of equations to process: 312
% Current number of ordered equations: 160
% Current number of rules: 202
% New rule produced :
% [212] additive_identity add (b multiply a) <-> c multiply b multiply a
% Current number of equations to process: 312
% Current number of ordered equations: 158
% Current number of rules: 203
% New rule produced :
% [213]
% additive_identity add additive_inverse(additive_inverse(X) add X) <->
% additive_identity
% Current number of equations to process: 312
% Current number of ordered equations: 156
% Current number of rules: 204
% New rule produced :
% [214] additive_identity add (c multiply X) <-> c multiply a multiply X
% Current number of equations to process: 312
% Current number of ordered equations: 155
% Current number of rules: 205
% New rule produced :
% [215] additive_identity add (c multiply X) <-> c multiply b multiply X
% Current number of equations to process: 312
% Current number of ordered equations: 154
% Current number of rules: 206
% New rule produced :
% [216] additive_identity add (c multiply X) <-> b multiply a multiply X
% Current number of equations to process: 312
% Current number of ordered equations: 153
% Current number of rules: 207
% New rule produced : [217] c multiply a multiply X <-> c multiply X multiply X
% Current number of equations to process: 312
% Current number of ordered equations: 151
% Current number of rules: 208
% New rule produced :
% [218] c multiply a multiply X <-> additive_identity add (c multiply X)
% Current number of equations to process: 312
% Current number of ordered equations: 150
% Current number of rules: 209
% New rule produced :
% [219] c multiply a multiply additive_inverse(b) <-> b multiply a
% Current number of equations to process: 312
% Current number of ordered equations: 148
% Current number of rules: 210
% New rule produced : [220] c multiply b multiply X <-> c multiply X multiply X
% Current number of equations to process: 312
% Current number of ordered equations: 146
% Current number of rules: 211
% New rule produced :
% [221] c multiply b multiply X <-> additive_identity add (c multiply X)
% Current number of equations to process: 312
% Current number of ordered equations: 145
% Current number of rules: 212
% New rule produced :
% [222] c multiply b multiply a <-> additive_identity add (b multiply a)
% Current number of equations to process: 312
% Current number of ordered equations: 143
% Current number of rules: 213
% New rule produced :
% [223] c multiply b multiply a <-> (a add additive_identity) multiply b
% Current number of equations to process: 312
% Current number of ordered equations: 141
% Current number of rules: 214
% New rule produced :
% [224] c multiply b multiply a <-> (b add additive_identity) multiply a
% Current number of equations to process: 312
% Current number of ordered equations: 139
% Current number of rules: 215
% New rule produced :
% [225] c multiply b multiply additive_inverse(a) <-> b multiply a
% Current number of equations to process: 312
% Current number of ordered equations: 137
% Current number of rules: 216
% New rule produced : [226] b multiply a multiply X <-> c multiply X multiply X
% Current number of equations to process: 312
% Current number of ordered equations: 135
% Current number of rules: 217
% New rule produced :
% [227] b multiply a multiply X <-> additive_identity add (c multiply X)
% Current number of equations to process: 312
% Current number of ordered equations: 134
% Current number of rules: 218
% New rule produced :
% [228] b multiply a multiply additive_inverse(c) <-> b multiply a
% Current number of equations to process: 312
% Current number of ordered equations: 132
% Current number of rules: 219
% New rule produced :
% [229] X multiply Y <-> additive_inverse(X multiply X multiply Y)
% Current number of equations to process: 312
% Current number of ordered equations: 130
% Current number of rules: 220
% New rule produced :
% [230] X multiply Y <-> additive_inverse(X multiply Y) multiply X
% Current number of equations to process: 312
% Current number of ordered equations: 129
% Current number of rules: 221
% New rule produced :
% [231] (additive_identity add X) multiply (additive_identity add X) <-> X
% Current number of equations to process: 312
% Current number of ordered equations: 127
% Current number of rules: 222
% New rule produced :
% [232] c multiply X <-> additive_inverse(c multiply b multiply X)
% Current number of equations to process: 312
% Current number of ordered equations: 125
% Current number of rules: 223
% New rule produced :
% [233] c multiply X <-> additive_inverse(c multiply a multiply X)
% Current number of equations to process: 312
% Current number of ordered equations: 123
% Current number of rules: 224
% New rule produced :
% [234] c multiply X <-> additive_inverse(b multiply a multiply X)
% Current number of equations to process: 312
% Current number of ordered equations: 121
% Current number of rules: 225
% New rule produced :
% [235] c multiply X <-> c multiply additive_inverse(b multiply X)
% Current number of equations to process: 312
% Current number of ordered equations: 120
% Current number of rules: 226
% New rule produced :
% [236] c multiply X <-> a multiply additive_inverse(b multiply X)
% Current number of equations to process: 312
% Current number of ordered equations: 119
% Current number of rules: 227
% New rule produced :
% [237] c multiply X <-> a multiply additive_inverse(c multiply X)
% Current number of equations to process: 312
% Current number of ordered equations: 118
% Current number of rules: 228
% New rule produced :
% [238] c multiply additive_inverse(b multiply X) <-> c multiply X
% Current number of equations to process: 312
% Current number of ordered equations: 117
% Current number of rules: 229
% New rule produced :
% [239] a multiply additive_inverse(b multiply X) <-> c multiply X
% Current number of equations to process: 312
% Current number of ordered equations: 116
% Current number of rules: 230
% New rule produced :
% [240] a multiply additive_inverse(c multiply X) <-> c multiply X
% Current number of equations to process: 312
% Current number of ordered equations: 115
% Current number of rules: 231
% New rule produced :
% [241] b multiply a <-> additive_inverse(c multiply b multiply a)
% Current number of equations to process: 312
% Current number of ordered equations: 113
% Current number of rules: 232
% New rule produced :
% [242] b multiply a <-> c multiply a multiply additive_inverse(b)
% Current number of equations to process: 312
% Current number of ordered equations: 111
% Current number of rules: 233
% New rule produced :
% [243] b multiply a <-> c multiply b multiply additive_inverse(a)
% Current number of equations to process: 312
% Current number of ordered equations: 109
% Current number of rules: 234
% New rule produced :
% [244] b multiply a <-> b multiply a multiply additive_inverse(c)
% Current number of equations to process: 312
% Current number of ordered equations: 107
% Current number of rules: 235
% New rule produced :
% [245] b multiply a <-> b multiply additive_inverse(c multiply a)
% Current number of equations to process: 312
% Current number of ordered equations: 106
% Current number of rules: 236
% New rule produced :
% [246] b multiply additive_inverse(c multiply a) <-> b multiply a
% Current number of equations to process: 312
% Current number of ordered equations: 105
% Current number of rules: 237
% New rule produced : [247] b multiply b multiply a multiply a <-> c
% Current number of equations to process: 312
% Current number of ordered equations: 103
% Current number of rules: 238
% New rule produced :
% [248] additive_inverse(X multiply Y) multiply X <-> X multiply Y
% Current number of equations to process: 312
% Current number of ordered equations: 102
% Current number of rules: 239
% New rule produced :
% [249]
% (additive_inverse(X) multiply additive_inverse(X)) add X <->
% additive_identity
% Current number of equations to process: 312
% Current number of ordered equations: 100
% Current number of rules: 240
% New rule produced : [250] c multiply c multiply a multiply a <-> c
% Current number of equations to process: 312
% Current number of ordered equations: 98
% Current number of rules: 241
% New rule produced : [251] c multiply c multiply b multiply b <-> c
% Current number of equations to process: 312
% Current number of ordered equations: 96
% Current number of rules: 242
% New rule produced :
% [252] (a add additive_identity) multiply b <-> c multiply b multiply a
% Current number of equations to process: 312
% Current number of ordered equations: 94
% Current number of rules: 243
% New rule produced :
% [253] (b add additive_identity) multiply a <-> c multiply b multiply a
% Current number of equations to process: 312
% Current number of ordered equations: 92
% Current number of rules: 244
% New rule produced : [254] X multiply X multiply X multiply X <-> X
% Current number of equations to process: 312
% Current number of ordered equations: 90
% Current number of rules: 245
% New rule produced :
% [255]
% additive_inverse(additive_identity multiply X multiply Y) <->
% additive_identity multiply Y
% Current number of equations to process: 312
% Current number of ordered equations: 89
% Current number of rules: 246
% New rule produced :
% [256]
% additive_identity multiply Y <->
% additive_inverse(additive_identity multiply X multiply Y)
% Current number of equations to process: 312
% Current number of ordered equations: 88
% Current number of rules: 247
% New rule produced :
% [257]
% (eq)((X multiply Y) add (X multiply Y),additive_inverse(additive_identity))
% -> (true)
% Current number of equations to process: 310
% Current number of ordered equations: 88
% Current number of rules: 248
% New rule produced :
% [258]
% additive_inverse(additive_inverse(X) add X add Y) <-> additive_identity add Y
% Current number of equations to process: 310
% Current number of ordered equations: 86
% Current number of rules: 249
% New rule produced :
% [259]
% additive_identity add Y <-> additive_inverse(additive_inverse(X) add X add Y)
% Current number of equations to process: 310
% Current number of ordered equations: 84
% Current number of rules: 250
% New rule produced :
% [260]
% additive_identity add additive_inverse(X add X) <->
% additive_identity add Y add Y
% Current number of equations to process: 310
% Current number of ordered equations: 82
% Current number of rules: 251
% New rule produced :
% [261] additive_identity add (c multiply b multiply X) <-> c multiply X
% Current number of equations to process: 310
% Current number of ordered equations: 80
% Current number of rules: 252
% New rule produced :
% [262] additive_identity add (c multiply a multiply X) <-> c multiply X
% Current number of equations to process: 310
% Current number of ordered equations: 78
% Current number of rules: 253
% New rule produced :
% [263] additive_identity add (X multiply X multiply Y) <-> X multiply Y
% Current number of equations to process: 310
% Current number of ordered equations: 76
% Current number of rules: 254
% New rule produced :
% [264] additive_identity add (b multiply a multiply X) <-> c multiply X
% Current number of equations to process: 310
% Current number of ordered equations: 74
% Current number of rules: 255
% New rule produced :
% [265] additive_identity add (c multiply b multiply a) <-> b multiply a
% Current number of equations to process: 310
% Current number of ordered equations: 72
% Current number of rules: 256
% New rule produced :
% [266] X multiply Y <-> additive_identity add (X multiply X multiply Y)
% Current number of equations to process: 310
% Current number of ordered equations: 70
% Current number of rules: 257
% New rule produced :
% [267] X multiply Y <-> (additive_identity add (X multiply Y)) multiply X
% Current number of equations to process: 310
% Current number of ordered equations: 69
% Current number of rules: 258
% New rule produced :
% [268] c multiply X <-> additive_identity add (c multiply b multiply X)
% Current number of equations to process: 310
% Current number of ordered equations: 67
% Current number of rules: 259
% New rule produced :
% [269] c multiply X <-> additive_identity add (c multiply a multiply X)
% Current number of equations to process: 310
% Current number of ordered equations: 65
% Current number of rules: 260
% New rule produced :
% [270] c multiply X <-> additive_identity add (b multiply a multiply X)
% Current number of equations to process: 310
% Current number of ordered equations: 63
% Current number of rules: 261
% New rule produced : [271] c multiply X <-> b multiply a multiply X multiply X
% Current number of equations to process: 310
% Current number of ordered equations: 62
% Current number of rules: 262
% New rule produced :
% [272] c multiply X <-> (additive_identity add (c multiply X)) multiply a
% Current number of equations to process: 310
% Current number of ordered equations: 61
% Current number of rules: 263
% New rule produced :
% [273] c multiply X <-> (additive_identity add (b multiply X)) multiply c
% Current number of equations to process: 310
% Current number of ordered equations: 60
% Current number of rules: 264
% New rule produced :
% [274] c multiply X <-> (additive_identity add (b multiply X)) multiply a
% Current number of equations to process: 310
% Current number of ordered equations: 59
% Current number of rules: 265
% New rule produced : [275] c multiply X <-> c multiply a multiply X multiply X
% Current number of equations to process: 310
% Current number of ordered equations: 57
% Current number of rules: 266
% New rule produced : [276] c multiply X <-> c multiply b multiply X multiply X
% Current number of equations to process: 310
% Current number of ordered equations: 56
% Current number of rules: 267
% New rule produced : [277] c multiply c <-> b multiply b multiply a multiply a
% Current number of equations to process: 310
% Current number of ordered equations: 55
% Current number of rules: 268
% New rule produced :
% [278] b multiply a <-> additive_identity add (c multiply b multiply a)
% Current number of equations to process: 310
% Current number of ordered equations: 53
% Current number of rules: 269
% New rule produced :
% [279] b multiply a <-> (c add additive_identity) multiply b multiply a
% Current number of equations to process: 310
% Current number of ordered equations: 51
% Current number of rules: 270
% New rule produced : [280] b multiply a <-> c multiply c multiply b multiply a
% Current number of equations to process: 310
% Current number of ordered equations: 48
% Current number of rules: 271
% New rule produced :
% [281] b multiply a <-> (additive_identity add (c multiply a)) multiply b
% Current number of equations to process: 310
% Current number of ordered equations: 47
% Current number of rules: 272
% New rule produced :
% [282] b multiply a <-> (a add additive_identity) multiply c multiply b
% Current number of equations to process: 310
% Current number of ordered equations: 45
% Current number of rules: 273
% New rule produced : [283] b multiply a <-> c multiply b multiply a multiply a
% Current number of equations to process: 310
% Current number of ordered equations: 41
% Current number of rules: 274
% New rule produced : [284] b multiply a <-> c multiply b multiply b multiply a
% Current number of equations to process: 310
% Current number of ordered equations: 37
% Current number of rules: 275
% New rule produced :
% [285] b multiply a <-> (b add additive_identity) multiply c multiply a
% Current number of equations to process: 310
% Current number of ordered equations: 35
% Current number of rules: 276
% New rule produced : [286] b multiply a multiply X multiply X <-> c multiply X
% Current number of equations to process: 310
% Current number of ordered equations: 34
% Current number of rules: 277
% New rule produced : [287] b multiply b multiply a multiply a <-> c multiply c
% Current number of equations to process: 310
% Current number of ordered equations: 33
% Current number of rules: 278
% New rule produced :
% [288] (additive_identity add (X multiply Y)) multiply X <-> X multiply Y
% Current number of equations to process: 310
% Current number of ordered equations: 32
% Current number of rules: 279
% New rule produced :
% [289]
% additive_identity add Y add Y <->
% additive_identity add additive_inverse(X add X)
% Current number of equations to process: 310
% Current number of ordered equations: 30
% Current number of rules: 280
% New rule produced :
% [290] (c add additive_identity) multiply b multiply a <-> b multiply a
% Current number of equations to process: 310
% Current number of ordered equations: 28
% Current number of rules: 281
% New rule produced : [291] c multiply c multiply b multiply a <-> b multiply a
% Current number of equations to process: 310
% Current number of ordered equations: 25
% Current number of rules: 282
% New rule produced :
% [292] (additive_identity add (c multiply X)) multiply a <-> c multiply X
% Current number of equations to process: 310
% Current number of ordered equations: 24
% Current number of rules: 283
% New rule produced :
% [293] (additive_identity add (b multiply X)) multiply c <-> c multiply X
% Current number of equations to process: 310
% Current number of ordered equations: 23
% Current number of rules: 284
% New rule produced :
% [294] (additive_identity add (b multiply X)) multiply a <-> c multiply X
% Current number of equations to process: 310
% Current number of ordered equations: 22
% Current number of rules: 285
% New rule produced :
% [295] (additive_identity add (c multiply a)) multiply b <-> b multiply a
% Current number of equations to process: 310
% Current number of ordered equations: 21
% Current number of rules: 286
% New rule produced : [296] c multiply a multiply X multiply X <-> c multiply X
% Current number of equations to process: 310
% Current number of ordered equations: 19
% Current number of rules: 287
% New rule produced :
% [297] (a add additive_identity) multiply c multiply b <-> b multiply a
% Current number of equations to process: 310
% Current number of ordered equations: 17
% Current number of rules: 288
% New rule produced : [298] c multiply b multiply X multiply X <-> c multiply X
% Current number of equations to process: 310
% Current number of ordered equations: 16
% Current number of rules: 289
% New rule produced : [299] c multiply b multiply a multiply a <-> b multiply a
% Current number of equations to process: 310
% Current number of ordered equations: 12
% Current number of rules: 290
% New rule produced : [300] c multiply b multiply b multiply a <-> b multiply a
% Current number of equations to process: 310
% Current number of ordered equations: 8
% Current number of rules: 291
% New rule produced :
% [301] (b add additive_identity) multiply c multiply a <-> b multiply a
% Current number of equations to process: 310
% Current number of ordered equations: 6
% Current number of rules: 292
% New rule produced :
% [302]
% additive_identity add (additive_identity multiply X multiply Y) <->
% additive_identity multiply Y
% Current number of equations to process: 310
% Current number of ordered equations: 5
% Current number of rules: 293
% New rule produced :
% [303]
% additive_identity multiply Y <->
% additive_identity add (additive_identity multiply X multiply Y)
% Current number of equations to process: 310
% Current number of ordered equations: 4
% Current number of rules: 294
% New rule produced :
% [304]
% (eq)((X multiply Y) add additive_inverse(X multiply Y),additive_identity) ->
% (true)
% Current number of equations to process: 308
% Current number of ordered equations: 5
% Current number of rules: 295
% New rule produced :
% [305]
% (eq)(additive_inverse((X multiply Y) add (X multiply Y)),additive_identity)
% -> (true)
% Current number of equations to process: 308
% Current number of ordered equations: 4
% Current number of rules: 296
% New rule produced :
% [306]
% (eq)((X multiply Y) add (X multiply Y),additive_identity add additive_identity)
% -> (true)
% Current number of equations to process: 307
% Current number of ordered equations: 4
% Current number of rules: 297
% New rule produced :
% [307]
% (eq)((X multiply Y) add (X multiply Y),additive_identity multiply additive_identity)
% -> (true)
% Current number of equations to process: 306
% Current number of ordered equations: 4
% Current number of rules: 298
% New rule produced :
% [308] (eq)((X multiply Y) add (X multiply Y),Z add Z) -> (true)
% Rule
% [306]
% (eq)((X multiply Y) add (X multiply Y),additive_identity add additive_identity)
% -> (true) collapsed.
% Current number of equations to process: 305
% Current number of ordered equations: 4
% Current number of rules: 298
% New rule produced :
% [309]
% (eq)((X multiply Y) add (X multiply Y),additive_identity multiply Z) ->
% (true)
% Rule
% [307]
% (eq)((X multiply Y) add (X multiply Y),additive_identity multiply additive_identity)
% -> (true) collapsed.
% Current number of equations to process: 304
% Current number of ordered equations: 4
% Current number of rules: 298
% New rule produced :
% [310]
% additive_identity add additive_inverse(X) <->
% additive_identity add X add Y add Y
% Current number of equations to process: 304
% Current number of ordered equations: 2
% Current number of rules: 299
% New rule produced :
% [311]
% additive_identity add X add Y add Y <->
% additive_identity add additive_inverse(X)
% Current number of equations to process: 304
% Current number of ordered equations: 0
% Current number of rules: 300
% New rule produced :
% [312]
% (eq)((X multiply Y) add (X multiply Y),additive_inverse(Z) add Z) -> (true)
% Current number of equations to process: 303
% Current number of ordered equations: 0
% Current number of rules: 301
% New rule produced : [313] (X add X) multiply Y <-> (Y add Y) multiply X
% Current number of equations to process: 580
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced : [314] (X multiply Y) add X <-> (X add Y) multiply X
% Current number of equations to process: 579
% Current number of ordered equations: 1
% Current number of rules: 303
% New rule produced : [315] (X add Y) multiply X <-> (X multiply Y) add X
% Current number of equations to process: 579
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced :
% [316]
% additive_identity add (X multiply Y) <-> (additive_identity add Y) multiply X
% Current number of equations to process: 577
% Current number of ordered equations: 3
% Current number of rules: 305
% New rule produced :
% [317]
% additive_identity add (additive_identity multiply X) <->
% (X add Y) multiply additive_identity
% Current number of equations to process: 577
% Current number of ordered equations: 2
% Current number of rules: 306
% New rule produced :
% [318]
% (X add Y) multiply additive_identity <->
% additive_identity add (additive_identity multiply X)
% Current number of equations to process: 577
% Current number of ordered equations: 1
% Current number of rules: 307
% New rule produced :
% [319]
% (additive_identity add Y) multiply X <-> additive_identity add (X multiply Y)
% Current number of equations to process: 577
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced : [320] (a add X) multiply c <-> c add (c multiply X)
% Current number of equations to process: 575
% Current number of ordered equations: 3
% Current number of rules: 309
% New rule produced : [321] c add (c multiply X) <-> (a add X) multiply c
% Current number of equations to process: 575
% Current number of ordered equations: 2
% Current number of rules: 310
% New rule produced : [322] c add (a multiply X) <-> (c add X) multiply a
% Current number of equations to process: 575
% Current number of ordered equations: 1
% Current number of rules: 311
% New rule produced : [323] (c add X) multiply a <-> c add (a multiply X)
% Current number of equations to process: 575
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced : [324] c add (b multiply X) <-> (c add X) multiply b
% Current number of equations to process: 573
% Current number of ordered equations: 3
% Current number of rules: 313
% New rule produced : [325] c add (c multiply X) <-> (b add X) multiply c
% Current number of equations to process: 573
% Current number of ordered equations: 2
% Current number of rules: 314
% New rule produced : [326] (b add X) multiply c <-> c add (c multiply X)
% Current number of equations to process: 573
% Current number of ordered equations: 1
% Current number of rules: 315
% New rule produced : [327] (c add X) multiply b <-> c add (b multiply X)
% Current number of equations to process: 573
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced : [328] (a add X) multiply b <-> c add (b multiply X)
% Current number of equations to process: 571
% Current number of ordered equations: 3
% Current number of rules: 317
% New rule produced : [329] c add (b multiply X) <-> (a add X) multiply b
% Current number of equations to process: 571
% Current number of ordered equations: 2
% Current number of rules: 318
% New rule produced : [330] c add (a multiply X) <-> (b add X) multiply a
% Current number of equations to process: 571
% Current number of ordered equations: 1
% Current number of rules: 319
% New rule produced : [331] (b add X) multiply a <-> c add (a multiply X)
% Current number of equations to process: 571
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [332] (eq)((X add X) multiply Y,additive_identity) -> (true)
% Current number of equations to process: 664
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced :
% [333]
% additive_identity <->
% (additive_identity multiply X) add (additive_identity multiply Y)
% Current number of equations to process: 967
% Current number of ordered equations: 1
% Current number of rules: 322
% New rule produced :
% [334]
% (additive_identity multiply X) add (additive_identity multiply Y) <->
% additive_identity
% Current number of equations to process: 967
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced : [335] (eq)(X,additive_identity add X) -> (true)
% Current number of equations to process: 1083
% Current number of ordered equations: 1
% Current number of rules: 324
% New rule produced : [336] (eq)(X add X,additive_identity) -> (true)
% Rule [22] (eq)((X multiply Y) add (X multiply Y),additive_identity) -> (true)
% collapsed.
% Current number of equations to process: 1083
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [337] X <-> additive_inverse(additive_inverse(additive_inverse(X)))
% Current number of equations to process: 1273
% Current number of ordered equations: 1
% Current number of rules: 325
% New rule produced :
% [338] additive_inverse(additive_inverse(additive_inverse(X))) <-> X
% Current number of equations to process: 1273
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [339] additive_inverse(additive_inverse(X)) <-> additive_identity add X
% Current number of equations to process: 1272
% Current number of ordered equations: 1
% Current number of rules: 327
% New rule produced :
% [340] additive_identity add X <-> additive_inverse(additive_inverse(X))
% Current number of equations to process: 1272
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [341] additive_inverse(additive_inverse(X)) <-> X multiply X
% Current number of equations to process: 1271
% Current number of ordered equations: 1
% Current number of rules: 329
% New rule produced :
% [342] X multiply X <-> additive_inverse(additive_inverse(X))
% Current number of equations to process: 1271
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [343] additive_inverse(additive_inverse(c)) <-> c multiply a
% Current number of equations to process: 1270
% Current number of ordered equations: 1
% Current number of rules: 331
% New rule produced :
% [344] c multiply a <-> additive_inverse(additive_inverse(c))
% Current number of equations to process: 1270
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced :
% [345] additive_inverse(additive_inverse(c)) <-> c multiply b
% Current number of equations to process: 1269
% Current number of ordered equations: 1
% Current number of rules: 333
% New rule produced :
% [346] c multiply b <-> additive_inverse(additive_inverse(c))
% Current number of equations to process: 1269
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced :
% [347] additive_inverse(additive_inverse(c)) <-> b multiply a
% Current number of equations to process: 1268
% Current number of ordered equations: 1
% Current number of rules: 335
% New rule produced :
% [348] b multiply a <-> additive_inverse(additive_inverse(c))
% Current number of equations to process: 1268
% Current number of ordered equations: 0
% Current number of rules: 336
% New rule produced :
% [349] additive_inverse(additive_inverse(additive_identity)) <-> X add X
% Current number of equations to process: 1267
% Current number of ordered equations: 1
% Current number of rules: 337
% New rule produced :
% [350] X add X <-> additive_inverse(additive_inverse(additive_identity))
% Current number of equations to process: 1267
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced :
% [351]
% additive_inverse(additive_inverse(additive_identity)) <->
% additive_identity multiply X
% Current number of equations to process: 1266
% Current number of ordered equations: 1
% Current number of rules: 339
% New rule produced :
% [352]
% additive_identity multiply X <->
% additive_inverse(additive_inverse(additive_identity))
% Current number of equations to process: 1266
% Current number of ordered equations: 0
% Current number of rules: 340
% New rule produced :
% [353] additive_identity <-> additive_inverse(additive_inverse(X add X))
% Current number of equations to process: 1279
% Current number of ordered equations: 1
% Current number of rules: 341
% New rule produced :
% [354] additive_inverse(additive_inverse(X add X)) <-> additive_identity
% Current number of equations to process: 1279
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced :
% [355] X <-> additive_inverse(additive_inverse(additive_identity add X))
% Current number of equations to process: 1277
% Current number of ordered equations: 3
% Current number of rules: 343
% New rule produced :
% [356] X <-> additive_inverse(additive_inverse(additive_identity)) add X
% Current number of equations to process: 1277
% Current number of ordered equations: 2
% Current number of rules: 344
% New rule produced :
% [357] additive_inverse(additive_inverse(additive_identity add X)) <-> X
% Current number of equations to process: 1277
% Current number of ordered equations: 1
% Current number of rules: 345
% New rule produced :
% [358] additive_inverse(additive_inverse(additive_identity)) add X <-> X
% Current number of equations to process: 1277
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced :
% [359] X <-> additive_inverse(additive_inverse(X multiply X))
% Current number of equations to process: 1276
% Current number of ordered equations: 1
% Current number of rules: 347
% New rule produced :
% [360] additive_inverse(additive_inverse(X multiply X)) <-> X
% Current number of equations to process: 1276
% Current number of ordered equations: 0
% Current number of rules: 348
% New rule produced :
% [361]
% additive_identity <->
% additive_inverse(additive_inverse(additive_identity multiply X))
% Current number of equations to process: 1274
% Current number of ordered equations: 3
% Current number of rules: 349
% New rule produced :
% [362]
% additive_identity <->
% additive_inverse(additive_inverse(additive_identity)) multiply X
% Current number of equations to process: 1274
% Current number of ordered equations: 2
% Current number of rules: 350
% New rule produced :
% [363]
% additive_inverse(additive_inverse(additive_identity multiply X)) <->
% additive_identity
% Current number of equations to process: 1274
% Current number of ordered equations: 1
% Current number of rules: 351
% New rule produced :
% [364]
% additive_inverse(additive_inverse(additive_identity)) multiply X <->
% additive_identity
% Current number of equations to process: 1274
% Current number of ordered equations: 0
% Current number of rules: 352
% New rule produced :
% [365] c <-> additive_inverse(additive_inverse(c multiply a))
% Current number of equations to process: 1271
% Current number of ordered equations: 5
% Current number of rules: 353
% New rule produced :
% [366] c <-> c multiply additive_inverse(additive_inverse(a))
% Current number of equations to process: 1271
% Current number of ordered equations: 4
% Current number of rules: 354
% New rule produced :
% [367] c <-> a multiply additive_inverse(additive_inverse(c))
% Current number of equations to process: 1271
% Current number of ordered equations: 3
% Current number of rules: 355
% New rule produced :
% [368] additive_inverse(additive_inverse(c multiply a)) <-> c
% Current number of equations to process: 1271
% Current number of ordered equations: 2
% Current number of rules: 356
% New rule produced :
% [369] c multiply additive_inverse(additive_inverse(a)) <-> c
% Current number of equations to process: 1271
% Current number of ordered equations: 1
% Current number of rules: 357
% New rule produced :
% [370] a multiply additive_inverse(additive_inverse(c)) <-> c
% Current number of equations to process: 1271
% Current number of ordered equations: 0
% Current number of rules: 358
% New rule produced :
% [371] c <-> additive_inverse(additive_inverse(c multiply b))
% Current number of equations to process: 1268
% Current number of ordered equations: 5
% Current number of rules: 359
% New rule produced :
% [372] c <-> c multiply additive_inverse(additive_inverse(b))
% Current number of equations to process: 1268
% Current number of ordered equations: 4
% Current number of rules: 360
% New rule produced :
% [373] c <-> b multiply additive_inverse(additive_inverse(c))
% Current number of equations to process: 1268
% Current number of ordered equations: 3
% Current number of rules: 361
% New rule produced :
% [374] additive_inverse(additive_inverse(c multiply b)) <-> c
% Current number of equations to process: 1268
% Current number of ordered equations: 2
% Current number of rules: 362
% New rule produced :
% [375] c multiply additive_inverse(additive_inverse(b)) <-> c
% Current number of equations to process: 1268
% Current number of ordered equations: 1
% Current number of rules: 363
% New rule produced :
% [376] b multiply additive_inverse(additive_inverse(c)) <-> c
% Current number of equations to process: 1268
% Current number of ordered equations: 0
% Current number of rules: 364
% New rule produced :
% [377] c <-> additive_inverse(additive_inverse(b multiply a))
% Current number of equations to process: 1265
% Current number of ordered equations: 5
% Current number of rules: 365
% New rule produced :
% [378] c <-> a multiply additive_inverse(additive_inverse(b))
% Current number of equations to process: 1265
% Current number of ordered equations: 4
% Current number of rules: 366
% New rule produced :
% [379] c <-> b multiply additive_inverse(additive_inverse(a))
% Current number of equations to process: 1265
% Current number of ordered equations: 3
% Current number of rules: 367
% New rule produced :
% [380] additive_inverse(additive_inverse(b multiply a)) <-> c
% Current number of equations to process: 1265
% Current number of ordered equations: 2
% Current number of rules: 368
% New rule produced :
% [381] a multiply additive_inverse(additive_inverse(b)) <-> c
% Current number of equations to process: 1265
% Current number of ordered equations: 1
% Current number of rules: 369
% New rule produced :
% [382] b multiply additive_inverse(additive_inverse(a)) <-> c
% Current number of equations to process: 1265
% Current number of ordered equations: 0
% Current number of rules: 370
% New rule produced :
% [383]
% additive_inverse(additive_inverse(additive_identity)) <->
% additive_inverse(X) add X
% Current number of equations to process: 1264
% Current number of ordered equations: 1
% Current number of rules: 371
% New rule produced :
% [384]
% additive_inverse(X) add X <->
% additive_inverse(additive_inverse(additive_identity))
% Current number of equations to process: 1264
% Current number of ordered equations: 0
% Current number of rules: 372
% New rule produced :
% [385] X <-> additive_inverse(additive_identity add additive_inverse(X))
% Current number of equations to process: 1276
% Current number of ordered equations: 3
% Current number of rules: 373
% New rule produced :
% [386] X <-> additive_identity add additive_inverse(additive_inverse(X))
% Current number of equations to process: 1276
% Current number of ordered equations: 2
% Current number of rules: 374
% New rule produced :
% [387] additive_inverse(additive_identity add additive_inverse(X)) <-> X
% Current number of equations to process: 1276
% Current number of ordered equations: 1
% Current number of rules: 375
% New rule produced :
% [388] additive_identity add additive_inverse(additive_inverse(X)) <-> X
% Current number of equations to process: 1276
% Current number of ordered equations: 0
% Current number of rules: 376
% New rule produced :
% [389]
% X <->
% additive_inverse(additive_inverse(additive_inverse(additive_inverse(X))))
% Current number of equations to process: 1277
% Current number of ordered equations: 1
% Current number of rules: 377
% New rule produced :
% [390]
% additive_inverse(additive_inverse(additive_inverse(additive_inverse(X)))) <->
% X
% Current number of equations to process: 1277
% Current number of ordered equations: 0
% Current number of rules: 378
% New rule produced :
% [391]
% additive_identity <->
% additive_inverse(additive_inverse(additive_inverse(X) add X))
% Current number of equations to process: 1275
% Current number of ordered equations: 3
% Current number of rules: 379
% New rule produced :
% [392]
% additive_identity <->
% additive_inverse(additive_inverse(additive_inverse(X))) add X
% Current number of equations to process: 1275
% Current number of ordered equations: 2
% Current number of rules: 380
% New rule produced :
% [393]
% additive_inverse(additive_inverse(additive_inverse(X) add X)) <->
% additive_identity
% Current number of equations to process: 1275
% Current number of ordered equations: 1
% Current number of rules: 381
% New rule produced :
% [394]
% additive_inverse(additive_inverse(additive_inverse(X))) add X <->
% additive_identity
% Current number of equations to process: 1275
% Current number of ordered equations: 0
% Current number of rules: 382
% New rule produced :
% [395]
% X <-> additive_inverse(additive_inverse(X) multiply additive_inverse(X))
% Current number of equations to process: 1274
% Current number of ordered equations: 1
% Current number of rules: 383
% New rule produced :
% [396]
% additive_inverse(additive_inverse(X) multiply additive_inverse(X)) <-> X
% Current number of equations to process: 1274
% Current number of ordered equations: 0
% Current number of rules: 384
% New rule produced :
% [397]
% additive_identity add X <-> additive_inverse(X) multiply additive_inverse(X)
% Current number of equations to process: 1273
% Current number of ordered equations: 1
% Current number of rules: 385
% New rule produced :
% [398]
% additive_inverse(X) multiply additive_inverse(X) <-> additive_identity add X
% Current number of equations to process: 1273
% Current number of ordered equations: 0
% Current number of rules: 386
% New rule produced :
% [399]
% additive_inverse(additive_inverse(additive_inverse(X))) <->
% additive_identity add X
% Current number of equations to process: 1277
% Current number of ordered equations: 1
% Current number of rules: 387
% New rule produced :
% [400]
% additive_identity add X <->
% additive_inverse(additive_inverse(additive_inverse(X)))
% Current number of equations to process: 1277
% Current number of ordered equations: 0
% Current number of rules: 388
% New rule produced :
% [401] additive_identity add additive_inverse(X) <-> X multiply X
% Current number of equations to process: 1276
% Current number of ordered equations: 1
% Current number of rules: 389
% New rule produced :
% [402] X multiply X <-> additive_identity add additive_inverse(X)
% Current number of equations to process: 1276
% Current number of ordered equations: 0
% Current number of rules: 390
% New rule produced : [403] additive_identity <-> (X multiply X) add X
% Current number of equations to process: 1275
% Current number of ordered equations: 1
% Current number of rules: 391
% New rule produced : [404] (X multiply X) add X <-> additive_identity
% Current number of equations to process: 1275
% Current number of ordered equations: 0
% Current number of rules: 392
% New rule produced :
% [405] X multiply X <-> additive_inverse(X) multiply additive_inverse(X)
% Current number of equations to process: 1274
% Current number of ordered equations: 1
% Current number of rules: 393
% New rule produced :
% [406] additive_inverse(X) multiply additive_inverse(X) <-> X multiply X
% Current number of equations to process: 1274
% Current number of ordered equations: 0
% Current number of rules: 394
% New rule produced :
% [407]
% additive_inverse(additive_inverse(additive_inverse(X))) <-> X multiply X
% Current number of equations to process: 1280
% Current number of ordered equations: 1
% Current number of rules: 395
% New rule produced :
% [408]
% X multiply X <-> additive_inverse(additive_inverse(additive_inverse(X)))
% Current number of equations to process: 1280
% Current number of ordered equations: 0
% Current number of rules: 396
% New rule produced :
% [409] additive_inverse(additive_identity add additive_identity) <-> X add X
% Current number of equations to process: 1279
% Current number of ordered equations: 1
% Current number of rules: 397
% New rule produced :
% [410] X add X <-> additive_inverse(additive_identity add additive_identity)
% Current number of equations to process: 1279
% Current number of ordered equations: 0
% Current number of rules: 398
% New rule produced :
% [411]
% additive_inverse(additive_identity multiply additive_identity) <-> X add X
% Current number of equations to process: 1278
% Current number of ordered equations: 1
% Current number of rules: 399
% New rule produced :
% [412]
% X add X <-> additive_inverse(additive_identity multiply additive_identity)
% Current number of equations to process: 1278
% Current number of ordered equations: 0
% Current number of rules: 400
% New rule produced : [413] additive_inverse(X add X) <-> Y add Y
% Rule
% [260]
% additive_identity add additive_inverse(X add X) <->
% additive_identity add Y add Y collapsed.
% Rule
% [409] additive_inverse(additive_identity add additive_identity) <-> X add X
% collapsed.
% Current number of equations to process: 1277
% Current number of ordered equations: 1
% Current number of rules: 399
% New rule produced : [414] Y add Y <-> additive_inverse(X add X)
% Rule
% [289]
% additive_identity add Y add Y <->
% additive_identity add additive_inverse(X add X) collapsed.
% Rule
% [410] X add X <-> additive_inverse(additive_identity add additive_identity)
% collapsed.
% Current number of equations to process: 1277
% Current number of ordered equations: 0
% Current number of rules: 398
% New rule produced :
% [415] additive_inverse(additive_identity multiply X) <-> Y add Y
% Rule
% [411]
% additive_inverse(additive_identity multiply additive_identity) <-> X add X
% collapsed.
% Current number of equations to process: 1276
% Current number of ordered equations: 1
% Current number of rules: 398
% New rule produced :
% [416] Y add Y <-> additive_inverse(additive_identity multiply X)
% Rule
% [412]
% X add X <-> additive_inverse(additive_identity multiply additive_identity)
% collapsed.
% Current number of equations to process: 1276
% Current number of ordered equations: 0
% Current number of rules: 398
% New rule produced :
% [417]
% X add X <->
% additive_inverse(additive_identity) multiply additive_inverse(additive_identity)
% Current number of equations to process: 1275
% Current number of ordered equations: 1
% Current number of rules: 399
% New rule produced :
% [418]
% additive_inverse(additive_identity) multiply additive_inverse(additive_identity)
% <-> X add X
% Current number of equations to process: 1275
% Current number of ordered equations: 0
% Current number of rules: 400
% New rule produced :
% [419] additive_inverse(additive_inverse(X) add X) <-> Y add Y
% Current number of equations to process: 1274
% Current number of ordered equations: 1
% Current number of rules: 401
% New rule produced :
% [420] Y add Y <-> additive_inverse(additive_inverse(X) add X)
% Current number of equations to process: 1274
% Current number of ordered equations: 0
% Current number of rules: 402
% New rule produced :
% [421]
% additive_inverse(additive_inverse(additive_inverse(additive_identity))) <->
% X add X
% Current number of equations to process: 1280
% Current number of ordered equations: 1
% Current number of rules: 403
% New rule produced :
% [422]
% X add X <->
% additive_inverse(additive_inverse(additive_inverse(additive_identity)))
% Current number of equations to process: 1280
% Current number of ordered equations: 0
% Current number of rules: 404
% New rule produced :
% [423]
% additive_inverse(additive_identity add additive_identity) <->
% additive_identity multiply X
% Current number of equations to process: 1279
% Current number of ordered equations: 1
% Current number of rules: 405
% New rule produced :
% [424]
% additive_identity multiply X <->
% additive_inverse(additive_identity add additive_identity)
% Current number of equations to process: 1279
% Current number of ordered equations: 0
% Current number of rules: 406
% New rule produced :
% [425]
% additive_inverse(additive_identity multiply additive_identity) <->
% additive_identity multiply X
% Current number of equations to process: 1278
% Current number of ordered equations: 1
% Current number of rules: 407
% New rule produced :
% [426]
% additive_identity multiply X <->
% additive_inverse(additive_identity multiply additive_identity)
% Current number of equations to process: 1278
% Current number of ordered equations: 0
% Current number of rules: 408
% New rule produced :
% [427] additive_inverse(X add X) <-> additive_identity multiply Y
% Rule
% [423]
% additive_inverse(additive_identity add additive_identity) <->
% additive_identity multiply X collapsed.
% Current number of equations to process: 1277
% Current number of ordered equations: 1
% Current number of rules: 408
% New rule produced :
% [428] additive_identity multiply Y <-> additive_inverse(X add X)
% Rule
% [424]
% additive_identity multiply X <->
% additive_inverse(additive_identity add additive_identity) collapsed.
% Current number of equations to process: 1277
% Current number of ordered equations: 0
% Current number of rules: 408
% New rule produced :
% [429]
% additive_inverse(additive_identity multiply X) <->
% additive_identity multiply Y
% Rule
% [255]
% additive_inverse(additive_identity multiply X multiply Y) <->
% additive_identity multiply Y collapsed.
% Rule
% [425]
% additive_inverse(additive_identity multiply additive_identity) <->
% additive_identity multiply X collapsed.
% Current number of equations to process: 1276
% Current number of ordered equations: 1
% Current number of rules: 407
% New rule produced :
% [430]
% additive_identity multiply Y <->
% additive_inverse(additive_identity multiply X)
% Rule
% [256]
% additive_identity multiply Y <->
% additive_inverse(additive_identity multiply X multiply Y) collapsed.
% Rule
% [426]
% additive_identity multiply X <->
% additive_inverse(additive_identity multiply additive_identity) collapsed.
% Current number of equations to process: 1276
% Current number of ordered equations: 0
% Current number of rules: 406
% New rule produced :
% [431]
% additive_identity multiply X <->
% additive_inverse(additive_identity) multiply additive_inverse(additive_identity)
% Current number of equations to process: 1275
% Current number of ordered equations: 1
% Current number of rules: 407
% New rule produced :
% [432]
% additive_inverse(additive_identity) multiply additive_inverse(additive_identity)
% <-> additive_identity multiply X
% Current number of equations to process: 1275
% Current number of ordered equations: 0
% Current number of rules: 408
% New rule produced :
% [433]
% additive_inverse(additive_inverse(X) add X) <-> additive_identity multiply Y
% Current number of equations to process: 1274
% Current number of ordered equations: 1
% Current number of rules: 409
% New rule produced :
% [434]
% additive_identity multiply Y <-> additive_inverse(additive_inverse(X) add X)
% Current number of equations to process: 1274
% Current number of ordered equations: 0
% Current number of rules: 410
% New rule produced :
% [435]
% additive_inverse(additive_inverse(additive_inverse(additive_identity))) <->
% additive_identity multiply X
% Current number of equations to process: 1282
% Current number of ordered equations: 1
% Current number of rules: 411
% New rule produced :
% [436]
% additive_identity multiply X <->
% additive_inverse(additive_inverse(additive_inverse(additive_identity)))
% Current number of equations to process: 1282
% Current number of ordered equations: 0
% Current number of rules: 412
% New rule produced :
% [437] additive_inverse(c add additive_identity) <-> c multiply a
% Current number of equations to process: 1280
% Current number of ordered equations: 3
% Current number of rules: 413
% New rule produced :
% [438] additive_identity add additive_inverse(c) <-> c multiply a
% Current number of equations to process: 1280
% Current number of ordered equations: 2
% Current number of rules: 414
% New rule produced :
% [439] c multiply a <-> additive_inverse(c add additive_identity)
% Current number of equations to process: 1280
% Current number of ordered equations: 1
% Current number of rules: 415
% New rule produced :
% [440] c multiply a <-> additive_identity add additive_inverse(c)
% Current number of equations to process: 1280
% Current number of ordered equations: 0
% Current number of rules: 416
% New rule produced : [441] additive_inverse(c multiply c) <-> c multiply a
% Current number of equations to process: 1279
% Current number of ordered equations: 1
% Current number of rules: 417
% New rule produced : [442] c multiply a <-> additive_inverse(c multiply c)
% Current number of equations to process: 1279
% Current number of ordered equations: 0
% Current number of rules: 418
% New rule produced : [443] additive_inverse(c multiply b) <-> c multiply a
% Current number of equations to process: 1278
% Current number of ordered equations: 1
% Current number of rules: 419
% New rule produced : [444] c multiply a <-> additive_inverse(c multiply b)
% Current number of equations to process: 1278
% Current number of ordered equations: 0
% Current number of rules: 420
% New rule produced : [445] additive_inverse(b multiply a) <-> c multiply a
% Current number of equations to process: 1277
% Current number of ordered equations: 1
% Current number of rules: 421
% New rule produced : [446] c multiply a <-> additive_inverse(b multiply a)
% Current number of equations to process: 1277
% Current number of ordered equations: 0
% Current number of rules: 422
% New rule produced : [447] additive_identity <-> c add (c multiply a)
% Current number of equations to process: 1276
% Current number of ordered equations: 1
% Current number of rules: 423
% New rule produced : [448] c add (c multiply a) <-> additive_identity
% Current number of equations to process: 1276
% Current number of ordered equations: 0
% Current number of rules: 424
% New rule produced :
% [449] c multiply a <-> additive_inverse(c) multiply additive_inverse(c)
% Current number of equations to process: 1275
% Current number of ordered equations: 1
% Current number of rules: 425
% New rule produced :
% [450] additive_inverse(c) multiply additive_inverse(c) <-> c multiply a
% Current number of equations to process: 1275
% Current number of ordered equations: 0
% Current number of rules: 426
% New rule produced :
% [451]
% additive_inverse(additive_inverse(additive_inverse(c))) <-> c multiply a
% Current number of equations to process: 1283
% Current number of ordered equations: 1
% Current number of rules: 427
% New rule produced :
% [452]
% c multiply a <-> additive_inverse(additive_inverse(additive_inverse(c)))
% Current number of equations to process: 1283
% Current number of ordered equations: 0
% Current number of rules: 428
% New rule produced :
% [453] additive_inverse(c add additive_identity) <-> c multiply b
% Current number of equations to process: 1281
% Current number of ordered equations: 3
% Current number of rules: 429
% New rule produced :
% [454] additive_identity add additive_inverse(c) <-> c multiply b
% Current number of equations to process: 1281
% Current number of ordered equations: 2
% Current number of rules: 430
% New rule produced :
% [455] c multiply b <-> additive_inverse(c add additive_identity)
% Current number of equations to process: 1281
% Current number of ordered equations: 1
% Current number of rules: 431
% New rule produced :
% [456] c multiply b <-> additive_identity add additive_inverse(c)
% Current number of equations to process: 1281
% Current number of ordered equations: 0
% Current number of rules: 432
% New rule produced : [457] additive_inverse(c multiply c) <-> c multiply b
% Current number of equations to process: 1280
% Current number of ordered equations: 1
% Current number of rules: 433
% New rule produced : [458] c multiply b <-> additive_inverse(c multiply c)
% Current number of equations to process: 1280
% Current number of ordered equations: 0
% Current number of rules: 434
% New rule produced : [459] additive_inverse(c multiply a) <-> c multiply b
% Current number of equations to process: 1279
% Current number of ordered equations: 1
% Current number of rules: 435
% New rule produced : [460] c multiply b <-> additive_inverse(c multiply a)
% Current number of equations to process: 1279
% Current number of ordered equations: 0
% Current number of rules: 436
% New rule produced : [461] additive_inverse(b multiply a) <-> c multiply b
% Current number of equations to process: 1278
% Current number of ordered equations: 1
% Current number of rules: 437
% New rule produced : [462] c multiply b <-> additive_inverse(b multiply a)
% Current number of equations to process: 1278
% Current number of ordered equations: 0
% Current number of rules: 438
% New rule produced : [463] additive_identity <-> c add (c multiply b)
% Current number of equations to process: 1277
% Current number of ordered equations: 1
% Current number of rules: 439
% New rule produced : [464] c add (c multiply b) <-> additive_identity
% Current number of equations to process: 1277
% Current number of ordered equations: 0
% Current number of rules: 440
% New rule produced :
% [465] c multiply b <-> additive_inverse(c) multiply additive_inverse(c)
% Current number of equations to process: 1276
% Current number of ordered equations: 1
% Current number of rules: 441
% New rule produced :
% [466] additive_inverse(c) multiply additive_inverse(c) <-> c multiply b
% Current number of equations to process: 1276
% Current number of ordered equations: 0
% Current number of rules: 442
% New rule produced :
% [467]
% additive_inverse(additive_inverse(additive_inverse(c))) <-> c multiply b
% Current number of equations to process: 1284
% Current number of ordered equations: 1
% Current number of rules: 443
% New rule produced :
% [468]
% c multiply b <-> additive_inverse(additive_inverse(additive_inverse(c)))
% Current number of equations to process: 1284
% Current number of ordered equations: 0
% Current number of rules: 444
% New rule produced :
% [469] additive_inverse(c add additive_identity) <-> b multiply a
% Current number of equations to process: 1282
% Current number of ordered equations: 3
% Current number of rules: 445
% New rule produced :
% [470] additive_identity add additive_inverse(c) <-> b multiply a
% Current number of equations to process: 1282
% Current number of ordered equations: 2
% Current number of rules: 446
% New rule produced :
% [471] b multiply a <-> additive_inverse(c add additive_identity)
% Current number of equations to process: 1282
% Current number of ordered equations: 1
% Current number of rules: 447
% New rule produced :
% [472] b multiply a <-> additive_identity add additive_inverse(c)
% Current number of equations to process: 1282
% Current number of ordered equations: 0
% Current number of rules: 448
% New rule produced : [473] additive_inverse(c multiply c) <-> b multiply a
% Current number of equations to process: 1281
% Current number of ordered equations: 1
% Current number of rules: 449
% New rule produced : [474] b multiply a <-> additive_inverse(c multiply c)
% Current number of equations to process: 1281
% Current number of ordered equations: 0
% Current number of rules: 450
% New rule produced : [475] additive_inverse(c multiply a) <-> b multiply a
% Current number of equations to process: 1280
% Current number of ordered equations: 1
% Current number of rules: 451
% New rule produced : [476] b multiply a <-> additive_inverse(c multiply a)
% Current number of equations to process: 1280
% Current number of ordered equations: 0
% Current number of rules: 452
% New rule produced : [477] additive_inverse(c multiply b) <-> b multiply a
% Current number of equations to process: 1279
% Current number of ordered equations: 1
% Current number of rules: 453
% New rule produced : [478] b multiply a <-> additive_inverse(c multiply b)
% Current number of equations to process: 1279
% Current number of ordered equations: 0
% Current number of rules: 454
% New rule produced : [479] additive_identity <-> c add (b multiply a)
% Current number of equations to process: 1278
% Current number of ordered equations: 1
% Current number of rules: 455
% New rule produced : [480] c add (b multiply a) <-> additive_identity
% Current number of equations to process: 1278
% Current number of ordered equations: 0
% Current number of rules: 456
% New rule produced :
% [481] b multiply a <-> additive_inverse(c) multiply additive_inverse(c)
% Current number of equations to process: 1277
% Current number of ordered equations: 1
% Current number of rules: 457
% New rule produced :
% [482] additive_inverse(c) multiply additive_inverse(c) <-> b multiply a
% Current number of equations to process: 1277
% Current number of ordered equations: 0
% Current number of rules: 458
% New rule produced :
% [483]
% additive_inverse(additive_inverse(additive_inverse(c))) <-> b multiply a
% Current number of equations to process: 1342
% Current number of ordered equations: 1
% Current number of rules: 459
% New rule produced :
% [484]
% b multiply a <-> additive_inverse(additive_inverse(additive_inverse(c)))
% Current number of equations to process: 1342
% Current number of ordered equations: 0
% Current number of rules: 460
% New rule produced :
% [485] additive_inverse(additive_identity) <-> additive_identity add X add X
% Current number of equations to process: 1341
% Current number of ordered equations: 1
% Current number of rules: 461
% New rule produced :
% [486] additive_identity add X add X <-> additive_inverse(additive_identity)
% Current number of equations to process: 1341
% Current number of ordered equations: 0
% Current number of rules: 462
% New rule produced :
% [487]
% additive_identity add additive_inverse(X) <->
% additive_inverse(additive_identity) add X
% Current number of equations to process: 1340
% Current number of ordered equations: 1
% Current number of rules: 463
% New rule produced :
% [488]
% additive_inverse(additive_identity) add X <->
% additive_identity add additive_inverse(X)
% Current number of equations to process: 1340
% Current number of ordered equations: 0
% Current number of rules: 464
% New rule produced :
% [489] additive_identity <-> additive_inverse(additive_identity) add X add X
% Current number of equations to process: 1339
% Current number of ordered equations: 1
% Current number of rules: 465
% New rule produced :
% [490] additive_inverse(additive_identity) add X add X <-> additive_identity
% Current number of equations to process: 1339
% Current number of ordered equations: 0
% Current number of rules: 466
% New rule produced :
% [491]
% additive_identity add X <->
% additive_inverse(additive_identity) add additive_inverse(X)
% Current number of equations to process: 1338
% Current number of ordered equations: 1
% Current number of rules: 467
% New rule produced :
% [492]
% additive_inverse(additive_identity) add additive_inverse(X) <->
% additive_identity add X
% Current number of equations to process: 1338
% Current number of ordered equations: 0
% Current number of rules: 468
% New rule produced :
% [493] additive_inverse(additive_identity) <-> (X add X) multiply Y
% Current number of equations to process: 1355
% Current number of ordered equations: 1
% Current number of rules: 469
% New rule produced :
% [494] (X add X) multiply Y <-> additive_inverse(additive_identity)
% Current number of equations to process: 1355
% Current number of ordered equations: 0
% Current number of rules: 470
% New rule produced :
% [495] additive_inverse(X) <-> additive_inverse(additive_identity) add X
% Current number of equations to process: 1521
% Current number of ordered equations: 1
% Current number of rules: 471
% New rule produced :
% [496] additive_inverse(additive_identity) add X <-> additive_inverse(X)
% Current number of equations to process: 1521
% Current number of ordered equations: 0
% Current number of rules: 472
% New rule produced :
% [497] additive_inverse(X) <-> additive_identity add additive_identity add X
% Current number of equations to process: 1520
% Current number of ordered equations: 1
% Current number of rules: 473
% New rule produced :
% [498] additive_identity add additive_identity add X <-> additive_inverse(X)
% Current number of equations to process: 1520
% Current number of ordered equations: 0
% Current number of rules: 474
% New rule produced :
% [499]
% additive_inverse(X) <-> (additive_identity multiply additive_identity) add X
% Current number of equations to process: 1519
% Current number of ordered equations: 1
% Current number of rules: 475
% New rule produced :
% [500]
% (additive_identity multiply additive_identity) add X <-> additive_inverse(X)
% Current number of equations to process: 1519
% Current number of ordered equations: 0
% Current number of rules: 476
% New rule produced : [501] additive_inverse(Y) <-> X add X add Y
% Rule
% [485] additive_inverse(additive_identity) <-> additive_identity add X add X
% collapsed.
% Rule
% [497] additive_inverse(X) <-> additive_identity add additive_identity add X
% collapsed.
% Current number of equations to process: 1518
% Current number of ordered equations: 1
% Current number of rules: 475
% New rule produced : [502] X add X add Y <-> additive_inverse(Y)
% Rule
% [486] additive_identity add X add X <-> additive_inverse(additive_identity)
% collapsed.
% Rule
% [498] additive_identity add additive_identity add X <-> additive_inverse(X)
% collapsed.
% Current number of equations to process: 1518
% Current number of ordered equations: 0
% Current number of rules: 474
% New rule produced :
% [503] additive_inverse(Y) <-> (additive_identity multiply X) add Y
% Rule
% [499]
% additive_inverse(X) <-> (additive_identity multiply additive_identity) add X
% collapsed.
% Current number of equations to process: 1517
% Current number of ordered equations: 1
% Current number of rules: 474
% New rule produced :
% [504] (additive_identity multiply X) add Y <-> additive_inverse(Y)
% Rule
% [500]
% (additive_identity multiply additive_identity) add X <-> additive_inverse(X)
% collapsed.
% Current number of equations to process: 1517
% Current number of ordered equations: 0
% Current number of rules: 474
% New rule produced :
% [505] (eq)(X,additive_inverse(additive_identity) add X) -> (true)
% Current number of equations to process: 1515
% Current number of ordered equations: 1
% Current number of rules: 475
% New rule produced :
% [506] (eq)(X add X,additive_inverse(additive_identity)) -> (true)
% Rule
% [257]
% (eq)((X multiply Y) add (X multiply Y),additive_inverse(additive_identity))
% -> (true) collapsed.
% Current number of equations to process: 1515
% Current number of ordered equations: 0
% Current number of rules: 475
% New rule produced :
% [507] additive_identity <-> additive_inverse(additive_identity add X add X)
% Current number of equations to process: 1514
% Current number of ordered equations: 1
% Current number of rules: 476
% New rule produced :
% [508] additive_inverse(additive_identity add X add X) <-> additive_identity
% Current number of equations to process: 1514
% Current number of ordered equations: 0
% Current number of rules: 477
% New rule produced :
% [509]
% additive_inverse(additive_inverse(additive_identity) add X) <->
% additive_identity add X
% Current number of equations to process: 1512
% Current number of ordered equations: 3
% Current number of rules: 478
% New rule produced :
% [510]
% additive_identity add X <->
% additive_inverse(additive_inverse(additive_identity) add X)
% Current number of equations to process: 1512
% Current number of ordered equations: 2
% Current number of rules: 479
% New rule produced :
% [511]
% additive_identity add additive_identity <->
% additive_inverse(additive_inverse(X)) add X
% Current number of equations to process: 1512
% Current number of ordered equations: 1
% Current number of rules: 480
% New rule produced :
% [512]
% additive_inverse(additive_inverse(X)) add X <->
% additive_identity add additive_identity
% Current number of equations to process: 1512
% Current number of ordered equations: 0
% Current number of rules: 481
% New rule produced :
% [513]
% additive_identity multiply additive_identity <->
% additive_inverse(additive_identity) multiply X
% Current number of equations to process: 1772
% Current number of ordered equations: 1
% Current number of rules: 482
% New rule produced :
% [514]
% additive_inverse(additive_identity) multiply X <->
% additive_identity multiply additive_identity
% Current number of equations to process: 1772
% Current number of ordered equations: 0
% Current number of rules: 483
% New rule produced : [515] c multiply c <-> a multiply additive_inverse(c)
% Current number of equations to process: 1771
% Current number of ordered equations: 1
% Current number of rules: 484
% New rule produced : [516] a multiply additive_inverse(c) <-> c multiply c
% Current number of equations to process: 1771
% Current number of ordered equations: 0
% Current number of rules: 485
% New rule produced : [517] c multiply c <-> b multiply additive_inverse(c)
% Current number of equations to process: 1770
% Current number of ordered equations: 1
% Current number of rules: 486
% New rule produced : [518] b multiply additive_inverse(c) <-> c multiply c
% Current number of equations to process: 1770
% Current number of ordered equations: 0
% Current number of rules: 487
% New rule produced : [519] c multiply a <-> b multiply additive_inverse(a)
% Current number of equations to process: 1768
% Current number of ordered equations: 3
% Current number of rules: 488
% New rule produced : [520] c multiply b <-> a multiply additive_inverse(b)
% Current number of equations to process: 1768
% Current number of ordered equations: 2
% Current number of rules: 489
% New rule produced : [521] a multiply additive_inverse(b) <-> c multiply b
% Current number of equations to process: 1768
% Current number of ordered equations: 1
% Current number of rules: 490
% New rule produced : [522] b multiply additive_inverse(a) <-> c multiply a
% Current number of equations to process: 1768
% Current number of ordered equations: 0
% Current number of rules: 491
% New rule produced :
% [523]
% additive_inverse(X) <->
% additive_inverse(additive_inverse(additive_identity)) add X
% Current number of equations to process: 1767
% Current number of ordered equations: 1
% Current number of rules: 492
% New rule produced :
% [524]
% additive_inverse(additive_inverse(additive_identity)) add X <->
% additive_inverse(X)
% Current number of equations to process: 1767
% Current number of ordered equations: 0
% Current number of rules: 493
% New rule produced :
% [525]
% additive_inverse(additive_identity add X) <->
% additive_inverse(additive_identity) add X
% Current number of equations to process: 1765
% Current number of ordered equations: 3
% Current number of rules: 494
% New rule produced :
% [526]
% additive_inverse(X add X) <->
% additive_identity add additive_inverse(additive_identity)
% Current number of equations to process: 1765
% Current number of ordered equations: 2
% Current number of rules: 495
% New rule produced :
% [527]
% additive_identity add additive_inverse(additive_identity) <->
% additive_inverse(X add X)
% Current number of equations to process: 1765
% Current number of ordered equations: 1
% Current number of rules: 496
% New rule produced :
% [528]
% additive_inverse(additive_identity) add X <->
% additive_inverse(additive_identity add X)
% Current number of equations to process: 1765
% Current number of ordered equations: 0
% Current number of rules: 497
% New rule produced :
% [529] additive_inverse(X add Y) <-> additive_inverse(X) add Y
% Rule
% [525]
% additive_inverse(additive_identity add X) <->
% additive_inverse(additive_identity) add X collapsed.
% Current number of equations to process: 1763
% Current number of ordered equations: 3
% Current number of rules: 497
% New rule produced :
% [530] additive_inverse(X) add Y <-> additive_inverse(X add Y)
% Rule
% [528]
% additive_inverse(additive_identity) add X <->
% additive_inverse(additive_identity add X) collapsed.
% Current number of equations to process: 1763
% Current number of ordered equations: 2
% Current number of rules: 497
% New rule produced :
% [531] additive_inverse(X) add Y <-> additive_inverse(Y) add X
% Rule
% [487]
% additive_identity add additive_inverse(X) <->
% additive_inverse(additive_identity) add X collapsed.
% Rule
% [488]
% additive_inverse(additive_identity) add X <->
% additive_identity add additive_inverse(X) collapsed.
% Current number of equations to process: 1763
% Current number of ordered equations: 0
% Current number of rules: 496
% New rule produced :
% [532] additive_inverse(X) <-> additive_identity add (X multiply X)
% Current number of equations to process: 1762
% Current number of ordered equations: 1
% Current number of rules: 497
% New rule produced :
% [533] additive_identity add (X multiply X) <-> additive_inverse(X)
% Current number of equations to process: 1762
% Current number of ordered equations: 0
% Current number of rules: 498
% New rule produced :
% [534]
% additive_identity <->
% additive_inverse(additive_identity multiply X) multiply Y
% Current number of equations to process: 1761
% Current number of ordered equations: 1
% Current number of rules: 499
% New rule produced :
% [535]
% additive_inverse(additive_identity multiply X) multiply Y <->
% additive_identity
% Current number of equations to process: 1761
% Current number of ordered equations: 0
% Current number of rules: 500
% New rule produced :
% [536]
% additive_inverse(additive_identity) <->
% additive_inverse(additive_identity) multiply X
% Current number of equations to process: 2009
% Current number of ordered equations: 1
% Current number of rules: 501
% New rule produced :
% [537]
% additive_inverse(additive_identity) multiply X <->
% additive_inverse(additive_identity)
% Current number of equations to process: 2009
% Current number of ordered equations: 0
% Current number of rules: 502
% New rule produced :
% [538]
% additive_identity multiply X <->
% additive_inverse(additive_identity) multiply Y
% Rule
% [431]
% additive_identity multiply X <->
% additive_inverse(additive_identity) multiply additive_inverse(additive_identity)
% collapsed.
% Rule
% [513]
% additive_identity multiply additive_identity <->
% additive_inverse(additive_identity) multiply X collapsed.
% Current number of equations to process: 2044
% Current number of ordered equations: 1
% Current number of rules: 501
% New rule produced :
% [539]
% additive_inverse(additive_identity) multiply Y <->
% additive_identity multiply X
% Rule
% [432]
% additive_inverse(additive_identity) multiply additive_inverse(additive_identity)
% <-> additive_identity multiply X collapsed.
% Rule
% [514]
% additive_inverse(additive_identity) multiply X <->
% additive_identity multiply additive_identity collapsed.
% Current number of equations to process: 2044
% Current number of ordered equations: 0
% Current number of rules: 500
% New rule produced :
% [540] additive_inverse(c) <-> c multiply additive_inverse(a)
% Current number of equations to process: 2230
% Current number of ordered equations: 3
% Current number of rules: 501
% New rule produced :
% [541] additive_inverse(c) <-> a multiply additive_inverse(c)
% Current number of equations to process: 2230
% Current number of ordered equations: 2
% Current number of rules: 502
% New rule produced :
% [542] c multiply additive_inverse(a) <-> additive_inverse(c)
% Current number of equations to process: 2230
% Current number of ordered equations: 1
% Current number of rules: 503
% New rule produced :
% [543] a multiply additive_inverse(c) <-> additive_inverse(c)
% Current number of equations to process: 2230
% Current number of ordered equations: 0
% Current number of rules: 504
% New rule produced : [544] c multiply a <-> c multiply additive_inverse(c)
% Current number of equations to process: 2233
% Current number of ordered equations: 1
% Current number of rules: 505
% New rule produced : [545] c multiply additive_inverse(c) <-> c multiply a
% Current number of equations to process: 2233
% Current number of ordered equations: 0
% Current number of rules: 506
% New rule produced : [546] c multiply a <-> b multiply additive_inverse(c)
% Current number of equations to process: 2232
% Current number of ordered equations: 1
% Current number of rules: 507
% New rule produced : [547] b multiply additive_inverse(c) <-> c multiply a
% Current number of equations to process: 2232
% Current number of ordered equations: 0
% Current number of rules: 508
% New rule produced : [548] b multiply a <-> b multiply additive_inverse(c)
% Current number of equations to process: 2231
% Current number of ordered equations: 1
% Current number of rules: 509
% New rule produced : [549] b multiply additive_inverse(c) <-> b multiply a
% Current number of equations to process: 2231
% Current number of ordered equations: 0
% Current number of rules: 510
% New rule produced :
% [550]
% additive_inverse(additive_identity) <->
% additive_inverse(additive_inverse(additive_identity)) multiply X
% Current number of equations to process: 2230
% Current number of ordered equations: 1
% Current number of rules: 511
% New rule produced :
% [551]
% additive_inverse(additive_inverse(additive_identity)) multiply X <->
% additive_inverse(additive_identity)
% Current number of equations to process: 2230
% Current number of ordered equations: 0
% Current number of rules: 512
% New rule produced :
% [552]
% additive_inverse(additive_identity multiply X) <->
% additive_inverse(additive_identity) multiply X
% Current number of equations to process: 2229
% Current number of ordered equations: 1
% Current number of rules: 513
% New rule produced :
% [553]
% additive_inverse(additive_identity) multiply X <->
% additive_inverse(additive_identity multiply X)
% Current number of equations to process: 2229
% Current number of ordered equations: 0
% Current number of rules: 514
% New rule produced :
% [554]
% additive_inverse(additive_identity) multiply X <->
% additive_inverse(additive_identity) multiply Y
% Current number of equations to process: 2228
% Current number of ordered equations: 0
% Current number of rules: 515
% New rule produced :
% [555] additive_inverse(c) <-> additive_identity add (c multiply a)
% Current number of equations to process: 2225
% Current number of ordered equations: 5
% Current number of rules: 516
% New rule produced :
% [556] additive_inverse(c) <-> (c add additive_identity) multiply a
% Current number of equations to process: 2225
% Current number of ordered equations: 4
% Current number of rules: 517
% New rule produced :
% [557] additive_inverse(c) <-> (a add additive_identity) multiply c
% Current number of equations to process: 2225
% Current number of ordered equations: 3
% Current number of rules: 518
% New rule produced :
% [558] additive_identity add (c multiply a) <-> additive_inverse(c)
% Current number of equations to process: 2225
% Current number of ordered equations: 2
% Current number of rules: 519
% New rule produced :
% [559] (c add additive_identity) multiply a <-> additive_inverse(c)
% Current number of equations to process: 2225
% Current number of ordered equations: 1
% Current number of rules: 520
% New rule produced :
% [560] (a add additive_identity) multiply c <-> additive_inverse(c)
% Current number of equations to process: 2225
% Current number of ordered equations: 0
% Current number of rules: 521
% New rule produced : [561] additive_inverse(c) <-> c multiply c multiply a
% Current number of equations to process: 2224
% Current number of ordered equations: 1
% Current number of rules: 522
% New rule produced : [562] c multiply c multiply a <-> additive_inverse(c)
% Current number of equations to process: 2224
% Current number of ordered equations: 0
% Current number of rules: 523
% New rule produced : [563] additive_inverse(c) <-> c multiply a multiply a
% Current number of equations to process: 2223
% Current number of ordered equations: 1
% Current number of rules: 524
% New rule produced : [564] c multiply a multiply a <-> additive_inverse(c)
% Current number of equations to process: 2223
% Current number of ordered equations: 0
% Current number of rules: 525
% New rule produced : [565] additive_inverse(c) <-> c multiply b multiply a
% Current number of equations to process: 2222
% Current number of ordered equations: 1
% Current number of rules: 526
% New rule produced : [566] c multiply b multiply a <-> additive_inverse(c)
% Current number of equations to process: 2222
% Current number of ordered equations: 0
% Current number of rules: 527
% New rule produced : [567] additive_inverse(c) <-> b multiply a multiply a
% Current number of equations to process: 2221
% Current number of ordered equations: 1
% Current number of rules: 528
% New rule produced : [568] b multiply a multiply a <-> additive_inverse(c)
% Current number of equations to process: 2221
% Current number of ordered equations: 0
% Current number of rules: 529
% New rule produced :
% [569] additive_inverse(c) <-> c multiply additive_inverse(b)
% Current number of equations to process: 2324
% Current number of ordered equations: 3
% Current number of rules: 530
% New rule produced :
% [570] additive_inverse(c) <-> b multiply additive_inverse(c)
% Current number of equations to process: 2324
% Current number of ordered equations: 2
% Current number of rules: 531
% New rule produced :
% [571] c multiply additive_inverse(b) <-> additive_inverse(c)
% Current number of equations to process: 2324
% Current number of ordered equations: 1
% Current number of rules: 532
% New rule produced :
% [572] b multiply additive_inverse(c) <-> additive_inverse(c)
% Current number of equations to process: 2324
% Current number of ordered equations: 0
% Current number of rules: 533
% New rule produced : [573] c multiply b <-> c multiply additive_inverse(c)
% Current number of equations to process: 2327
% Current number of ordered equations: 1
% Current number of rules: 534
% New rule produced : [574] c multiply additive_inverse(c) <-> c multiply b
% Current number of equations to process: 2327
% Current number of ordered equations: 0
% Current number of rules: 535
% New rule produced : [575] c multiply b <-> a multiply additive_inverse(c)
% Current number of equations to process: 2326
% Current number of ordered equations: 1
% Current number of rules: 536
% New rule produced : [576] a multiply additive_inverse(c) <-> c multiply b
% Current number of equations to process: 2326
% Current number of ordered equations: 0
% Current number of rules: 537
% New rule produced : [577] a multiply additive_inverse(c) <-> b multiply a
% Current number of equations to process: 2325
% Current number of ordered equations: 1
% Current number of rules: 538
% New rule produced : [578] b multiply a <-> a multiply additive_inverse(c)
% Current number of equations to process: 2325
% Current number of ordered equations: 0
% Current number of rules: 539
% New rule produced :
% [579]
% additive_inverse(c) <-> c multiply additive_inverse(additive_inverse(a))
% Current number of equations to process: 2323
% Current number of ordered equations: 3
% Current number of rules: 540
% New rule produced :
% [580]
% additive_inverse(c) <-> a multiply additive_inverse(additive_inverse(c))
% Current number of equations to process: 2323
% Current number of ordered equations: 2
% Current number of rules: 541
% New rule produced :
% [581]
% c multiply additive_inverse(additive_inverse(a)) <-> additive_inverse(c)
% Current number of equations to process: 2323
% Current number of ordered equations: 1
% Current number of rules: 542
% New rule produced :
% [582]
% a multiply additive_inverse(additive_inverse(c)) <-> additive_inverse(c)
% Current number of equations to process: 2323
% Current number of ordered equations: 0
% Current number of rules: 543
% New rule produced :
% [583] c multiply additive_inverse(c) <-> a multiply additive_inverse(c)
% Current number of equations to process: 2321
% Current number of ordered equations: 3
% Current number of rules: 544
% New rule produced :
% [584] c multiply additive_inverse(a) <-> a multiply additive_inverse(c)
% Current number of equations to process: 2321
% Current number of ordered equations: 2
% Current number of rules: 545
% New rule produced :
% [585] a multiply additive_inverse(c) <-> c multiply additive_inverse(c)
% Current number of equations to process: 2321
% Current number of ordered equations: 1
% Current number of rules: 546
% New rule produced :
% [586] a multiply additive_inverse(c) <-> c multiply additive_inverse(a)
% Current number of equations to process: 2321
% Current number of ordered equations: 0
% Current number of rules: 547
% New rule produced :
% [587] additive_inverse(c) <-> additive_identity add (c multiply b)
% Current number of equations to process: 2318
% Current number of ordered equations: 5
% Current number of rules: 548
% New rule produced :
% [588] additive_inverse(c) <-> (c add additive_identity) multiply b
% Current number of equations to process: 2318
% Current number of ordered equations: 4
% Current number of rules: 549
% New rule produced :
% [589] additive_inverse(c) <-> (b add additive_identity) multiply c
% Current number of equations to process: 2318
% Current number of ordered equations: 3
% Current number of rules: 550
% New rule produced :
% [590] additive_identity add (c multiply b) <-> additive_inverse(c)
% Current number of equations to process: 2318
% Current number of ordered equations: 2
% Current number of rules: 551
% New rule produced :
% [591] (c add additive_identity) multiply b <-> additive_inverse(c)
% Current number of equations to process: 2318
% Current number of ordered equations: 1
% Current number of rules: 552
% New rule produced :
% [592] (b add additive_identity) multiply c <-> additive_inverse(c)
% Current number of equations to process: 2318
% Current number of ordered equations: 0
% Current number of rules: 553
% New rule produced : [593] additive_inverse(c) <-> c multiply c multiply b
% Current number of equations to process: 2317
% Current number of ordered equations: 1
% Current number of rules: 554
% New rule produced : [594] c multiply c multiply b <-> additive_inverse(c)
% Current number of equations to process: 2317
% Current number of ordered equations: 0
% Current number of rules: 555
% New rule produced : [595] additive_inverse(c) <-> c multiply b multiply b
% Current number of equations to process: 2316
% Current number of ordered equations: 1
% Current number of rules: 556
% New rule produced : [596] c multiply b multiply b <-> additive_inverse(c)
% Current number of equations to process: 2316
% Current number of ordered equations: 0
% Current number of rules: 557
% New rule produced : [597] additive_inverse(c) <-> b multiply b multiply a
% Current number of equations to process: 2315
% Current number of ordered equations: 1
% Current number of rules: 558
% New rule produced : [598] b multiply b multiply a <-> additive_inverse(c)
% Current number of equations to process: 2315
% Current number of ordered equations: 0
% Current number of rules: 559
% New rule produced :
% [599] additive_inverse(c) <-> a multiply additive_inverse(b)
% Current number of equations to process: 2408
% Current number of ordered equations: 3
% Current number of rules: 560
% New rule produced :
% [600] additive_inverse(c) <-> b multiply additive_inverse(a)
% Current number of equations to process: 2408
% Current number of ordered equations: 2
% Current number of rules: 561
% New rule produced :
% [601] a multiply additive_inverse(b) <-> additive_inverse(c)
% Current number of equations to process: 2408
% Current number of ordered equations: 1
% Current number of rules: 562
% New rule produced :
% [602] b multiply additive_inverse(a) <-> additive_inverse(c)
% Current number of equations to process: 2408
% Current number of ordered equations: 0
% Current number of rules: 563
% New rule produced : [603] c multiply additive_inverse(c) <-> b multiply a
% Current number of equations to process: 2409
% Current number of ordered equations: 1
% Current number of rules: 564
% New rule produced : [604] b multiply a <-> c multiply additive_inverse(c)
% Current number of equations to process: 2409
% Current number of ordered equations: 0
% Current number of rules: 565
% New rule produced :
% [605]
% additive_inverse(c) <-> c multiply additive_inverse(additive_inverse(b))
% Current number of equations to process: 2407
% Current number of ordered equations: 3
% Current number of rules: 566
% New rule produced :
% [606]
% additive_inverse(c) <-> b multiply additive_inverse(additive_inverse(c))
% Current number of equations to process: 2407
% Current number of ordered equations: 2
% Current number of rules: 567
% New rule produced :
% [607]
% c multiply additive_inverse(additive_inverse(b)) <-> additive_inverse(c)
% Current number of equations to process: 2407
% Current number of ordered equations: 1
% Current number of rules: 568
% New rule produced :
% [608]
% b multiply additive_inverse(additive_inverse(c)) <-> additive_inverse(c)
% Current number of equations to process: 2407
% Current number of ordered equations: 0
% Current number of rules: 569
% New rule produced :
% [609] c multiply additive_inverse(b) <-> b multiply additive_inverse(c)
% Current number of equations to process: 2405
% Current number of ordered equations: 3
% Current number of rules: 570
% New rule produced :
% [610] c multiply additive_inverse(c) <-> b multiply additive_inverse(c)
% Current number of equations to process: 2405
% Current number of ordered equations: 2
% Current number of rules: 571
% New rule produced :
% [611] b multiply additive_inverse(c) <-> c multiply additive_inverse(b)
% Current number of equations to process: 2405
% Current number of ordered equations: 1
% Current number of rules: 572
% New rule produced :
% [612] b multiply additive_inverse(c) <-> c multiply additive_inverse(c)
% Current number of equations to process: 2405
% Current number of ordered equations: 0
% Current number of rules: 573
% New rule produced :
% [613] a multiply additive_inverse(c) <-> b multiply additive_inverse(c)
% Current number of equations to process: 2404
% Current number of ordered equations: 1
% Current number of rules: 574
% New rule produced :
% [614] b multiply additive_inverse(c) <-> a multiply additive_inverse(c)
% Current number of equations to process: 2404
% Current number of ordered equations: 0
% Current number of rules: 575
% New rule produced :
% [615] additive_inverse(c) <-> additive_identity add (b multiply a)
% Current number of equations to process: 2401
% Current number of ordered equations: 5
% Current number of rules: 576
% New rule produced :
% [616] additive_inverse(c) <-> (a add additive_identity) multiply b
% Current number of equations to process: 2401
% Current number of ordered equations: 4
% Current number of rules: 577
% New rule produced :
% [617] additive_inverse(c) <-> (b add additive_identity) multiply a
% Current number of equations to process: 2401
% Current number of ordered equations: 3
% Current number of rules: 578
% New rule produced :
% [618] additive_identity add (b multiply a) <-> additive_inverse(c)
% Current number of equations to process: 2401
% Current number of ordered equations: 2
% Current number of rules: 579
% New rule produced :
% [619] (a add additive_identity) multiply b <-> additive_inverse(c)
% Current number of equations to process: 2401
% Current number of ordered equations: 1
% Current number of rules: 580
% New rule produced :
% [620] (b add additive_identity) multiply a <-> additive_inverse(c)
% Current number of equations to process: 2401
% Current number of ordered equations: 0
% Current number of rules: 581
% New rule produced :
% [621] additive_inverse(additive_identity add X) <-> X multiply X
% Current number of equations to process: 2519
% Current number of ordered equations: 1
% Current number of rules: 582
% New rule produced :
% [622] X multiply X <-> additive_inverse(additive_identity add X)
% Current number of equations to process: 2519
% Current number of ordered equations: 0
% Current number of rules: 583
% New rule produced :
% [623]
% additive_inverse(c) <-> a multiply additive_inverse(additive_inverse(b))
% Current number of equations to process: 2517
% Current number of ordered equations: 3
% Current number of rules: 584
% New rule produced :
% [624]
% additive_inverse(c) <-> b multiply additive_inverse(additive_inverse(a))
% Current number of equations to process: 2517
% Current number of ordered equations: 2
% Current number of rules: 585
% New rule produced :
% [625]
% a multiply additive_inverse(additive_inverse(b)) <-> additive_inverse(c)
% Current number of equations to process: 2517
% Current number of ordered equations: 1
% Current number of rules: 586
% New rule produced :
% [626]
% b multiply additive_inverse(additive_inverse(a)) <-> additive_inverse(c)
% Current number of equations to process: 2517
% Current number of ordered equations: 0
% Current number of rules: 587
% New rule produced :
% [627] a multiply additive_inverse(b) <-> b multiply additive_inverse(c)
% Current number of equations to process: 2515
% Current number of ordered equations: 3
% Current number of rules: 588
% New rule produced :
% [628] a multiply additive_inverse(c) <-> b multiply additive_inverse(a)
% Current number of equations to process: 2515
% Current number of ordered equations: 2
% Current number of rules: 589
% New rule produced :
% [629] b multiply additive_inverse(c) <-> a multiply additive_inverse(b)
% Current number of equations to process: 2515
% Current number of ordered equations: 1
% Current number of rules: 590
% New rule produced :
% [630] b multiply additive_inverse(a) <-> a multiply additive_inverse(c)
% Current number of equations to process: 2515
% Current number of ordered equations: 0
% Current number of rules: 591
% New rule produced :
% [631]
% additive_inverse(additive_identity add additive_identity) <->
% additive_inverse(X) add X
% Current number of equations to process: 2514
% Current number of ordered equations: 1
% Current number of rules: 592
% New rule produced :
% [632]
% additive_inverse(X) add X <->
% additive_inverse(additive_identity add additive_identity)
% Current number of equations to process: 2514
% Current number of ordered equations: 0
% Current number of rules: 593
% New rule produced :
% [633] X <-> additive_inverse(additive_identity add additive_identity add X)
% Current number of equations to process: 2512
% Current number of ordered equations: 3
% Current number of rules: 594
% New rule produced :
% [634] X <-> additive_inverse(additive_identity add additive_identity) add X
% Current number of equations to process: 2512
% Current number of ordered equations: 2
% Current number of rules: 595
% New rule produced :
% [635] additive_inverse(additive_identity add additive_identity add X) <-> X
% Current number of equations to process: 2512
% Current number of ordered equations: 1
% Current number of rules: 596
% New rule produced :
% [636] additive_inverse(additive_identity add additive_identity) add X <-> X
% Current number of equations to process: 2512
% Current number of ordered equations: 0
% Current number of rules: 597
% New rule produced :
% [637] X <-> additive_inverse(additive_identity add (X multiply X))
% Current number of equations to process: 2511
% Current number of ordered equations: 1
% Current number of rules: 598
% New rule produced :
% [638] additive_inverse(additive_identity add (X multiply X)) <-> X
% Current number of equations to process: 2511
% Current number of ordered equations: 0
% Current number of rules: 599
% New rule produced :
% [639]
% additive_identity <->
% additive_inverse(additive_identity add (additive_identity multiply X))
% Current number of equations to process: 2509
% Current number of ordered equations: 3
% Current number of rules: 600
% New rule produced :
% [640]
% additive_identity <->
% additive_inverse(additive_identity add additive_identity) multiply X
% Current number of equations to process: 2509
% Current number of ordered equations: 2
% Current number of rules: 601
% New rule produced :
% [641]
% additive_inverse(additive_identity add (additive_identity multiply X)) <->
% additive_identity
% Current number of equations to process: 2509
% Current number of ordered equations: 1
% Current number of rules: 602
% New rule produced :
% [642]
% additive_inverse(additive_identity add additive_identity) multiply X <->
% additive_identity
% Current number of equations to process: 2509
% Current number of ordered equations: 0
% Current number of rules: 603
% New rule produced :
% [643] c <-> additive_inverse(additive_identity add (c multiply a))
% Current number of equations to process: 2506
% Current number of ordered equations: 5
% Current number of rules: 604
% New rule produced :
% [644] c <-> c multiply additive_inverse(a add additive_identity)
% Current number of equations to process: 2506
% Current number of ordered equations: 4
% Current number of rules: 605
% New rule produced :
% [645] c <-> a multiply additive_inverse(c add additive_identity)
% Current number of equations to process: 2506
% Current number of ordered equations: 3
% Current number of rules: 606
% New rule produced :
% [646] additive_inverse(additive_identity add (c multiply a)) <-> c
% Current number of equations to process: 2506
% Current number of ordered equations: 2
% Current number of rules: 607
% New rule produced :
% [647] c multiply additive_inverse(a add additive_identity) <-> c
% Current number of equations to process: 2506
% Current number of ordered equations: 1
% Current number of rules: 608
% New rule produced :
% [648] a multiply additive_inverse(c add additive_identity) <-> c
% Current number of equations to process: 2506
% Current number of ordered equations: 0
% Current number of rules: 609
% New rule produced :
% [649] c <-> additive_inverse(additive_identity add (c multiply b))
% Current number of equations to process: 2503
% Current number of ordered equations: 5
% Current number of rules: 610
% New rule produced :
% [650] c <-> c multiply additive_inverse(b add additive_identity)
% Current number of equations to process: 2503
% Current number of ordered equations: 4
% Current number of rules: 611
% New rule produced :
% [651] c <-> b multiply additive_inverse(c add additive_identity)
% Current number of equations to process: 2503
% Current number of ordered equations: 3
% Current number of rules: 612
% New rule produced :
% [652] additive_inverse(additive_identity add (c multiply b)) <-> c
% Current number of equations to process: 2503
% Current number of ordered equations: 2
% Current number of rules: 613
% New rule produced :
% [653] c multiply additive_inverse(b add additive_identity) <-> c
% Current number of equations to process: 2503
% Current number of ordered equations: 1
% Current number of rules: 614
% New rule produced :
% [654] b multiply additive_inverse(c add additive_identity) <-> c
% Current number of equations to process: 2503
% Current number of ordered equations: 0
% Current number of rules: 615
% New rule produced :
% [655] c <-> additive_inverse(additive_identity add (b multiply a))
% Current number of equations to process: 2500
% Current number of ordered equations: 5
% Current number of rules: 616
% New rule produced :
% [656] c <-> a multiply additive_inverse(b add additive_identity)
% Current number of equations to process: 2500
% Current number of ordered equations: 4
% Current number of rules: 617
% New rule produced :
% [657] c <-> b multiply additive_inverse(a add additive_identity)
% Current number of equations to process: 2500
% Current number of ordered equations: 3
% Current number of rules: 618
% New rule produced :
% [658] additive_inverse(additive_identity add (b multiply a)) <-> c
% Current number of equations to process: 2500
% Current number of ordered equations: 2
% Current number of rules: 619
% New rule produced :
% [659] a multiply additive_inverse(b add additive_identity) <-> c
% Current number of equations to process: 2500
% Current number of ordered equations: 1
% Current number of rules: 620
% New rule produced :
% [660] b multiply additive_inverse(a add additive_identity) <-> c
% Current number of equations to process: 2500
% Current number of ordered equations: 0
% Current number of rules: 621
% New rule produced :
% [661] additive_inverse(X multiply X) <-> additive_identity add X
% Current number of equations to process: 2587
% Current number of ordered equations: 1
% Current number of rules: 622
% New rule produced :
% [662] additive_identity add X <-> additive_inverse(X multiply X)
% Current number of equations to process: 2587
% Current number of ordered equations: 0
% Current number of rules: 623
% New rule produced :
% [663]
% additive_inverse(additive_identity multiply additive_identity) <->
% additive_inverse(X) add X
% Current number of equations to process: 2586
% Current number of ordered equations: 1
% Current number of rules: 624
% New rule produced :
% [664]
% additive_inverse(X) add X <->
% additive_inverse(additive_identity multiply additive_identity)
% Current number of equations to process: 2586
% Current number of ordered equations: 0
% Current number of rules: 625
% New rule produced :
% [665]
% X <->
% additive_inverse(additive_identity add additive_inverse(additive_inverse(X)))
% Current number of equations to process: 2584
% Current number of ordered equations: 3
% Current number of rules: 626
% New rule produced :
% [666]
% X <->
% additive_inverse(additive_inverse(additive_identity add additive_inverse(X)))
% Current number of equations to process: 2584
% Current number of ordered equations: 2
% Current number of rules: 627
% New rule produced :
% [667]
% additive_inverse(additive_identity add additive_inverse(additive_inverse(X)))
% <-> X
% Current number of equations to process: 2584
% Current number of ordered equations: 1
% Current number of rules: 628
% New rule produced :
% [668]
% additive_inverse(additive_inverse(additive_identity add additive_inverse(X)))
% <-> X
% Current number of equations to process: 2584
% Current number of ordered equations: 0
% Current number of rules: 629
% New rule produced :
% [669]
% additive_inverse(additive_identity add additive_inverse(X)) <->
% additive_identity add X
% Current number of equations to process: 2583
% Current number of ordered equations: 1
% Current number of rules: 630
% New rule produced :
% [670]
% additive_identity add X <->
% additive_inverse(additive_identity add additive_inverse(X))
% Current number of equations to process: 2583
% Current number of ordered equations: 0
% Current number of rules: 631
% New rule produced :
% [671]
% additive_inverse(additive_identity add additive_inverse(X)) <-> X multiply X
% Current number of equations to process: 2582
% Current number of ordered equations: 1
% Current number of rules: 632
% New rule produced :
% [672]
% X multiply X <-> additive_inverse(additive_identity add additive_inverse(X))
% Current number of equations to process: 2582
% Current number of ordered equations: 0
% Current number of rules: 633
% New rule produced :
% [673]
% additive_inverse(additive_inverse(additive_identity add additive_identity))
% <-> X add X
% Current number of equations to process: 2581
% Current number of ordered equations: 1
% Current number of rules: 634
% New rule produced :
% [674]
% X add X <->
% additive_inverse(additive_inverse(additive_identity add additive_identity))
% Current number of equations to process: 2581
% Current number of ordered equations: 0
% Current number of rules: 635
% New rule produced :
% [675]
% additive_inverse(additive_inverse(additive_identity add additive_identity))
% <-> additive_identity multiply X
% Current number of equations to process: 2580
% Current number of ordered equations: 1
% Current number of rules: 636
% New rule produced :
% [676]
% additive_identity multiply X <->
% additive_inverse(additive_inverse(additive_identity add additive_identity))
% Current number of equations to process: 2580
% Current number of ordered equations: 0
% Current number of rules: 637
% New rule produced :
% [677]
% additive_inverse(additive_identity add additive_inverse(c)) <-> c multiply a
% Current number of equations to process: 2578
% Current number of ordered equations: 3
% Current number of rules: 638
% New rule produced :
% [678]
% additive_inverse(additive_inverse(c add additive_identity)) <-> c multiply a
% Current number of equations to process: 2578
% Current number of ordered equations: 2
% Current number of rules: 639
% New rule produced :
% [679]
% c multiply a <-> additive_inverse(additive_identity add additive_inverse(c))
% Current number of equations to process: 2578
% Current number of ordered equations: 1
% Current number of rules: 640
% New rule produced :
% [680]
% c multiply a <-> additive_inverse(additive_inverse(c add additive_identity))
% Current number of equations to process: 2578
% Current number of ordered equations: 0
% Current number of rules: 641
% New rule produced :
% [681]
% additive_inverse(additive_identity add additive_inverse(c)) <-> c multiply b
% Current number of equations to process: 2576
% Current number of ordered equations: 3
% Current number of rules: 642
% New rule produced :
% [682]
% additive_inverse(additive_inverse(c add additive_identity)) <-> c multiply b
% Current number of equations to process: 2576
% Current number of ordered equations: 2
% Current number of rules: 643
% New rule produced :
% [683]
% c multiply b <-> additive_inverse(additive_identity add additive_inverse(c))
% Current number of equations to process: 2576
% Current number of ordered equations: 1
% Current number of rules: 644
% New rule produced :
% [684]
% c multiply b <-> additive_inverse(additive_inverse(c add additive_identity))
% Current number of equations to process: 2576
% Current number of ordered equations: 0
% Current number of rules: 645
% New rule produced :
% [685]
% additive_inverse(additive_identity add additive_inverse(c)) <-> b multiply a
% Current number of equations to process: 2574
% Current number of ordered equations: 3
% Current number of rules: 646
% New rule produced :
% [686]
% additive_inverse(additive_inverse(c add additive_identity)) <-> b multiply a
% Current number of equations to process: 2574
% Current number of ordered equations: 2
% Current number of rules: 647
% New rule produced :
% [687]
% b multiply a <-> additive_inverse(additive_identity add additive_inverse(c))
% Current number of equations to process: 2574
% Current number of ordered equations: 1
% Current number of rules: 648
% New rule produced :
% [688]
% b multiply a <-> additive_inverse(additive_inverse(c add additive_identity))
% Current number of equations to process: 2574
% Current number of ordered equations: 0
% Current number of rules: 649
% New rule produced :
% [689]
% X <-> additive_inverse(additive_identity multiply additive_identity) add X
% Current number of equations to process: 2573
% Current number of ordered equations: 1
% Current number of rules: 650
% New rule produced :
% [690]
% additive_inverse(additive_identity multiply additive_identity) add X <-> X
% Current number of equations to process: 2573
% Current number of ordered equations: 0
% Current number of rules: 651
% New rule produced : [691] c <-> c multiply additive_inverse(a multiply a)
% Current number of equations to process: 2571
% Current number of ordered equations: 3
% Current number of rules: 652
% New rule produced : [692] c <-> a multiply additive_inverse(c multiply c)
% Current number of equations to process: 2571
% Current number of ordered equations: 2
% Current number of rules: 653
% New rule produced : [693] c multiply additive_inverse(a multiply a) <-> c
% Current number of equations to process: 2571
% Current number of ordered equations: 1
% Current number of rules: 654
% New rule produced : [694] a multiply additive_inverse(c multiply c) <-> c
% Current number of equations to process: 2571
% Current number of ordered equations: 0
% Current number of rules: 655
% New rule produced : [695] c <-> c multiply additive_inverse(b multiply b)
% Current number of equations to process: 2569
% Current number of ordered equations: 3
% Current number of rules: 656
% New rule produced : [696] c <-> b multiply additive_inverse(c multiply c)
% Current number of equations to process: 2569
% Current number of ordered equations: 2
% Current number of rules: 657
% New rule produced : [697] c multiply additive_inverse(b multiply b) <-> c
% Current number of equations to process: 2569
% Current number of ordered equations: 1
% Current number of rules: 658
% New rule produced : [698] b multiply additive_inverse(c multiply c) <-> c
% Current number of equations to process: 2569
% Current number of ordered equations: 0
% Current number of rules: 659
% New rule produced : [699] c <-> a multiply additive_inverse(b multiply b)
% Current number of equations to process: 2567
% Current number of ordered equations: 3
% Current number of rules: 660
% New rule produced : [700] c <-> b multiply additive_inverse(a multiply a)
% Current number of equations to process: 2567
% Current number of ordered equations: 2
% Current number of rules: 661
% New rule produced : [701] a multiply additive_inverse(b multiply b) <-> c
% Current number of equations to process: 2567
% Current number of ordered equations: 1
% Current number of rules: 662
% New rule produced : [702] b multiply additive_inverse(a multiply a) <-> c
% Current number of equations to process: 2567
% Current number of ordered equations: 0
% Current number of rules: 663
% New rule produced :
% [703]
% additive_inverse(additive_inverse(additive_identity multiply additive_identity))
% <-> X add X
% Current number of equations to process: 2654
% Current number of ordered equations: 1
% Current number of rules: 664
% New rule produced :
% [704]
% X add X <->
% additive_inverse(additive_inverse(additive_identity multiply additive_identity))
% Current number of equations to process: 2654
% Current number of ordered equations: 0
% Current number of rules: 665
% New rule produced :
% [705]
% additive_inverse(additive_inverse(additive_identity multiply additive_identity))
% <-> additive_identity multiply X
% Current number of equations to process: 2653
% Current number of ordered equations: 1
% Current number of rules: 666
% New rule produced :
% [706]
% additive_identity multiply X <->
% additive_inverse(additive_inverse(additive_identity multiply additive_identity))
% Current number of equations to process: 2653
% Current number of ordered equations: 0
% Current number of rules: 667
% New rule produced :
% [707] additive_inverse(additive_inverse(c multiply c)) <-> c multiply a
% Current number of equations to process: 2652
% Current number of ordered equations: 1
% Current number of rules: 668
% New rule produced :
% [708] c multiply a <-> additive_inverse(additive_inverse(c multiply c))
% Current number of equations to process: 2652
% Current number of ordered equations: 0
% Current number of rules: 669
% New rule produced :
% [709] additive_inverse(additive_inverse(c multiply c)) <-> c multiply b
% Current number of equations to process: 2651
% Current number of ordered equations: 1
% Current number of rules: 670
% New rule produced :
% [710] c multiply b <-> additive_inverse(additive_inverse(c multiply c))
% Current number of equations to process: 2651
% Current number of ordered equations: 0
% Current number of rules: 671
% New rule produced :
% [711] additive_inverse(additive_inverse(c multiply c)) <-> b multiply a
% Current number of equations to process: 2650
% Current number of ordered equations: 1
% Current number of rules: 672
% New rule produced :
% [712] b multiply a <-> additive_inverse(additive_inverse(c multiply c))
% Current number of equations to process: 2650
% Current number of ordered equations: 0
% Current number of rules: 673
% New rule produced :
% [713] X <-> additive_identity add additive_inverse(additive_identity add X)
% Current number of equations to process: 2649
% Current number of ordered equations: 1
% Current number of rules: 674
% New rule produced :
% [714] additive_identity add additive_inverse(additive_identity add X) <-> X
% Current number of equations to process: 2649
% Current number of ordered equations: 0
% Current number of rules: 675
% New rule produced :
% [715] X <-> additive_identity add additive_inverse(X multiply X)
% Current number of equations to process: 2648
% Current number of ordered equations: 1
% Current number of rules: 676
% New rule produced :
% [716] additive_identity add additive_inverse(X multiply X) <-> X
% Current number of equations to process: 2648
% Current number of ordered equations: 0
% Current number of rules: 677
% New rule produced :
% [717]
% additive_identity <->
% additive_identity add additive_inverse(additive_identity multiply X)
% Current number of equations to process: 2647
% Current number of ordered equations: 1
% Current number of rules: 678
% New rule produced :
% [718]
% additive_identity add additive_inverse(additive_identity multiply X) <->
% additive_identity
% Current number of equations to process: 2647
% Current number of ordered equations: 0
% Current number of rules: 679
% New rule produced :
% [719] c <-> additive_identity add additive_inverse(c multiply a)
% Current number of equations to process: 2644
% Current number of ordered equations: 5
% Current number of rules: 680
% New rule produced :
% [720] c <-> (additive_identity add additive_inverse(c)) multiply a
% Current number of equations to process: 2644
% Current number of ordered equations: 4
% Current number of rules: 681
% New rule produced :
% [721] c <-> (additive_identity add additive_inverse(a)) multiply c
% Current number of equations to process: 2644
% Current number of ordered equations: 3
% Current number of rules: 682
% New rule produced :
% [722] additive_identity add additive_inverse(c multiply a) <-> c
% Current number of equations to process: 2644
% Current number of ordered equations: 2
% Current number of rules: 683
% New rule produced :
% [723] (additive_identity add additive_inverse(c)) multiply a <-> c
% Current number of equations to process: 2644
% Current number of ordered equations: 1
% Current number of rules: 684
% New rule produced :
% [724] (additive_identity add additive_inverse(a)) multiply c <-> c
% Current number of equations to process: 2644
% Current number of ordered equations: 0
% Current number of rules: 685
% New rule produced :
% [725] c <-> additive_identity add additive_inverse(c multiply b)
% Current number of equations to process: 2641
% Current number of ordered equations: 5
% Current number of rules: 686
% New rule produced :
% [726] c <-> (additive_identity add additive_inverse(c)) multiply b
% Current number of equations to process: 2641
% Current number of ordered equations: 4
% Current number of rules: 687
% New rule produced :
% [727] c <-> (additive_identity add additive_inverse(b)) multiply c
% Current number of equations to process: 2641
% Current number of ordered equations: 3
% Current number of rules: 688
% New rule produced :
% [728] additive_identity add additive_inverse(c multiply b) <-> c
% Current number of equations to process: 2641
% Current number of ordered equations: 2
% Current number of rules: 689
% New rule produced :
% [729] (additive_identity add additive_inverse(c)) multiply b <-> c
% Current number of equations to process: 2641
% Current number of ordered equations: 1
% Current number of rules: 690
% New rule produced :
% [730] (additive_identity add additive_inverse(b)) multiply c <-> c
% Current number of equations to process: 2641
% Current number of ordered equations: 0
% Current number of rules: 691
% New rule produced :
% [731] c <-> additive_identity add additive_inverse(b multiply a)
% Current number of equations to process: 2638
% Current number of ordered equations: 5
% Current number of rules: 692
% New rule produced :
% [732] c <-> (additive_identity add additive_inverse(a)) multiply b
% Current number of equations to process: 2638
% Current number of ordered equations: 4
% Current number of rules: 693
% New rule produced :
% [733] c <-> (additive_identity add additive_inverse(b)) multiply a
% Current number of equations to process: 2638
% Current number of ordered equations: 3
% Current number of rules: 694
% New rule produced :
% [734] additive_identity add additive_inverse(b multiply a) <-> c
% Current number of equations to process: 2638
% Current number of ordered equations: 2
% Current number of rules: 695
% New rule produced :
% [735] (additive_identity add additive_inverse(a)) multiply b <-> c
% Current number of equations to process: 2638
% Current number of ordered equations: 1
% Current number of rules: 696
% New rule produced :
% [736] (additive_identity add additive_inverse(b)) multiply a <-> c
% Current number of equations to process: 2638
% Current number of ordered equations: 0
% Current number of rules: 697
% New rule produced :
% [737] X <-> additive_inverse(additive_identity) add additive_inverse(X)
% Current number of equations to process: 2729
% Current number of ordered equations: 1
% Current number of rules: 698
% New rule produced :
% [738] additive_inverse(additive_identity) add additive_inverse(X) <-> X
% Current number of equations to process: 2729
% Current number of ordered equations: 0
% Current number of rules: 699
% New rule produced :
% [739] additive_inverse(additive_identity) add X <-> X multiply X
% Current number of equations to process: 2728
% Current number of ordered equations: 1
% Current number of rules: 700
% New rule produced :
% [740] X multiply X <-> additive_inverse(additive_identity) add X
% Current number of equations to process: 2728
% Current number of ordered equations: 0
% Current number of rules: 701
% New rule produced :
% [741] c add additive_inverse(additive_identity) <-> c multiply a
% Current number of equations to process: 2727
% Current number of ordered equations: 1
% Current number of rules: 702
% New rule produced :
% [742] c multiply a <-> c add additive_inverse(additive_identity)
% Current number of equations to process: 2727
% Current number of ordered equations: 0
% Current number of rules: 703
% New rule produced :
% [743] c add additive_inverse(additive_identity) <-> c multiply b
% Current number of equations to process: 2726
% Current number of ordered equations: 1
% Current number of rules: 704
% New rule produced :
% [744] c multiply b <-> c add additive_inverse(additive_identity)
% Current number of equations to process: 2726
% Current number of ordered equations: 0
% Current number of rules: 705
% New rule produced :
% [745] c add additive_inverse(additive_identity) <-> b multiply a
% Current number of equations to process: 2725
% Current number of ordered equations: 1
% Current number of rules: 706
% New rule produced :
% [746] b multiply a <-> c add additive_inverse(additive_identity)
% Current number of equations to process: 2725
% Current number of ordered equations: 0
% Current number of rules: 707
% New rule produced :
% [747]
% additive_inverse(additive_identity add X) <->
% additive_identity add additive_inverse(X)
% Current number of equations to process: 2724
% Current number of ordered equations: 1
% Current number of rules: 708
% New rule produced :
% [748]
% additive_identity add additive_inverse(X) <->
% additive_inverse(additive_identity add X)
% Current number of equations to process: 2724
% Current number of ordered equations: 0
% Current number of rules: 709
% New rule produced :
% [749]
% additive_inverse(X multiply X) <-> additive_identity add additive_inverse(X)
% Current number of equations to process: 2723
% Current number of ordered equations: 1
% Current number of rules: 710
% New rule produced :
% [750]
% additive_identity add additive_inverse(X) <-> additive_inverse(X multiply X)
% Current number of equations to process: 2723
% Current number of ordered equations: 0
% Current number of rules: 711
% New rule produced :
% [751]
% X <->
% additive_identity add additive_inverse(additive_inverse(additive_inverse(X)))
% Current number of equations to process: 2722
% Current number of ordered equations: 1
% Current number of rules: 712
% New rule produced :
% [752]
% additive_identity add additive_inverse(additive_inverse(additive_inverse(X)))
% <-> X
% Current number of equations to process: 2722
% Current number of ordered equations: 0
% Current number of rules: 713
% New rule produced :
% [753]
% additive_identity add additive_inverse(additive_inverse(X)) <-> X multiply X
% Current number of equations to process: 2721
% Current number of ordered equations: 1
% Current number of rules: 714
% New rule produced :
% [754]
% X multiply X <-> additive_identity add additive_inverse(additive_inverse(X))
% Current number of equations to process: 2721
% Current number of ordered equations: 0
% Current number of rules: 715
% New rule produced :
% [755]
% X add X <->
% additive_identity add additive_inverse(additive_inverse(additive_identity))
% Current number of equations to process: 2720
% Current number of ordered equations: 1
% Current number of rules: 716
% New rule produced :
% [756]
% additive_identity add additive_inverse(additive_inverse(additive_identity))
% <-> X add X
% Current number of equations to process: 2720
% Current number of ordered equations: 0
% Current number of rules: 717
% New rule produced :
% [757]
% additive_identity add additive_inverse(additive_inverse(additive_identity))
% <-> additive_identity multiply X
% Current number of equations to process: 2719
% Current number of ordered equations: 1
% Current number of rules: 718
% New rule produced :
% [758]
% additive_identity multiply X <->
% additive_identity add additive_inverse(additive_inverse(additive_identity))
% Current number of equations to process: 2719
% Current number of ordered equations: 0
% Current number of rules: 719
% New rule produced :
% [759]
% additive_identity add additive_inverse(additive_inverse(c)) <-> c multiply a
% Current number of equations to process: 2718
% Current number of ordered equations: 1
% Current number of rules: 720
% New rule produced :
% [760]
% c multiply a <-> additive_identity add additive_inverse(additive_inverse(c))
% Current number of equations to process: 2718
% Current number of ordered equations: 0
% Current number of rules: 721
% New rule produced :
% [761]
% additive_identity add additive_inverse(additive_inverse(c)) <-> c multiply b
% Current number of equations to process: 2717
% Current number of ordered equations: 1
% Current number of rules: 722
% New rule produced :
% [762]
% c multiply b <-> additive_identity add additive_inverse(additive_inverse(c))
% Current number of equations to process: 2717
% Current number of ordered equations: 0
% Current number of rules: 723
% New rule produced :
% [763]
% additive_identity add additive_inverse(additive_inverse(c)) <-> b multiply a
% Current number of equations to process: 2716
% Current number of ordered equations: 1
% Current number of rules: 724
% New rule produced :
% [764]
% b multiply a <-> additive_identity add additive_inverse(additive_inverse(c))
% Current number of equations to process: 2716
% Current number of ordered equations: 0
% Current number of rules: 725
% New rule produced :
% [765] X <-> (X multiply X) add additive_inverse(additive_identity)
% Current number of equations to process: 2715
% Current number of ordered equations: 1
% Current number of rules: 726
% New rule produced :
% [766] (X multiply X) add additive_inverse(additive_identity) <-> X
% Current number of equations to process: 2715
% Current number of ordered equations: 0
% Current number of rules: 727
% New rule produced :
% [767]
% additive_identity <->
% (additive_identity multiply X) add additive_inverse(additive_identity)
% Current number of equations to process: 2714
% Current number of ordered equations: 1
% Current number of rules: 728
% New rule produced :
% [768]
% (additive_identity multiply X) add additive_inverse(additive_identity) <->
% additive_identity
% Current number of equations to process: 2714
% Current number of ordered equations: 0
% Current number of rules: 729
% New rule produced :
% [769] c <-> (c multiply a) add additive_inverse(additive_identity)
% Current number of equations to process: 2711
% Current number of ordered equations: 5
% Current number of rules: 730
% New rule produced :
% [770] c <-> (a add additive_inverse(additive_identity)) multiply c
% Current number of equations to process: 2711
% Current number of ordered equations: 4
% Current number of rules: 731
% New rule produced :
% [771] c <-> (c add additive_inverse(additive_identity)) multiply a
% Current number of equations to process: 2711
% Current number of ordered equations: 3
% Current number of rules: 732
% New rule produced :
% [772] (c multiply a) add additive_inverse(additive_identity) <-> c
% Current number of equations to process: 2711
% Current number of ordered equations: 2
% Current number of rules: 733
% New rule produced :
% [773] (a add additive_inverse(additive_identity)) multiply c <-> c
% Current number of equations to process: 2711
% Current number of ordered equations: 1
% Current number of rules: 734
% New rule produced :
% [774] (c add additive_inverse(additive_identity)) multiply a <-> c
% Current number of equations to process: 2711
% Current number of ordered equations: 0
% Current number of rules: 735
% New rule produced :
% [775] c <-> (c multiply b) add additive_inverse(additive_identity)
% Current number of equations to process: 2708
% Current number of ordered equations: 5
% Current number of rules: 736
% New rule produced :
% [776] c <-> (b add additive_inverse(additive_identity)) multiply c
% Current number of equations to process: 2708
% Current number of ordered equations: 4
% Current number of rules: 737
% New rule produced :
% [777] c <-> (c add additive_inverse(additive_identity)) multiply b
% Current number of equations to process: 2708
% Current number of ordered equations: 3
% Current number of rules: 738
% New rule produced :
% [778] (c multiply b) add additive_inverse(additive_identity) <-> c
% Current number of equations to process: 2708
% Current number of ordered equations: 2
% Current number of rules: 739
% New rule produced :
% [779] (b add additive_inverse(additive_identity)) multiply c <-> c
% Current number of equations to process: 2708
% Current number of ordered equations: 1
% Current number of rules: 740
% New rule produced :
% [780] (c add additive_inverse(additive_identity)) multiply b <-> c
% Current number of equations to process: 2708
% Current number of ordered equations: 0
% Current number of rules: 741
% New rule produced :
% [781] c <-> (b multiply a) add additive_inverse(additive_identity)
% Current number of equations to process: 2705
% Current number of ordered equations: 5
% Current number of rules: 742
% New rule produced :
% [782] c <-> (b add additive_inverse(additive_identity)) multiply a
% Current number of equations to process: 2705
% Current number of ordered equations: 4
% Current number of rules: 743
% New rule produced :
% [783] c <-> (a add additive_inverse(additive_identity)) multiply b
% Current number of equations to process: 2705
% Current number of ordered equations: 3
% Current number of rules: 744
% New rule produced :
% [784] (b multiply a) add additive_inverse(additive_identity) <-> c
% Current number of equations to process: 2705
% Current number of ordered equations: 2
% Current number of rules: 745
% New rule produced :
% [785] (b add additive_inverse(additive_identity)) multiply a <-> c
% Current number of equations to process: 2705
% Current number of ordered equations: 1
% Current number of rules: 746
% New rule produced :
% [786] (a add additive_inverse(additive_identity)) multiply b <-> c
% Current number of equations to process: 2705
% Current number of ordered equations: 0
% Current number of rules: 747
% New rule produced :
% [787]
% additive_inverse(additive_inverse(X)) <->
% additive_inverse(additive_identity) add X
% Current number of equations to process: 2755
% Current number of ordered equations: 1
% Current number of rules: 748
% New rule produced :
% [788]
% additive_inverse(additive_identity) add X <->
% additive_inverse(additive_inverse(X))
% Current number of equations to process: 2755
% Current number of ordered equations: 0
% Current number of rules: 749
% New rule produced :
% [789] additive_inverse(b multiply a) <-> c add additive_identity
% Current number of equations to process: 2754
% Current number of ordered equations: 1
% Current number of rules: 750
% New rule produced :
% [790] c add additive_identity <-> additive_inverse(b multiply a)
% Current number of equations to process: 2754
% Current number of ordered equations: 0
% Current number of rules: 751
% New rule produced : [791] additive_inverse(b multiply a) <-> c multiply c
% Current number of equations to process: 2753
% Current number of ordered equations: 1
% Current number of rules: 752
% New rule produced : [792] c multiply c <-> additive_inverse(b multiply a)
% Current number of equations to process: 2753
% Current number of ordered equations: 0
% Current number of rules: 753
% New rule produced :
% [793]
% additive_inverse(X multiply X) <-> additive_inverse(additive_identity) add X
% Current number of equations to process: 2752
% Current number of ordered equations: 1
% Current number of rules: 754
% New rule produced :
% [794]
% additive_inverse(additive_identity) add X <-> additive_inverse(X multiply X)
% Current number of equations to process: 2752
% Current number of ordered equations: 0
% Current number of rules: 755
% New rule produced :
% [795]
% X <->
% additive_inverse(additive_inverse(additive_identity) add additive_inverse(X))
% Current number of equations to process: 2750
% Current number of ordered equations: 3
% Current number of rules: 756
% New rule produced :
% [796]
% X <->
% additive_inverse(additive_identity) add additive_inverse(additive_inverse(X))
% Current number of equations to process: 2750
% Current number of ordered equations: 2
% Current number of rules: 757
% New rule produced :
% [797]
% additive_inverse(additive_inverse(additive_identity) add additive_inverse(X))
% <-> X
% Current number of equations to process: 2750
% Current number of ordered equations: 1
% Current number of rules: 758
% New rule produced :
% [798]
% additive_inverse(additive_identity) add additive_inverse(additive_inverse(X))
% <-> X
% Current number of equations to process: 2750
% Current number of ordered equations: 0
% Current number of rules: 759
% New rule produced :
% [799]
% additive_inverse(additive_identity) add additive_inverse(X) <-> X multiply X
% Current number of equations to process: 2749
% Current number of ordered equations: 1
% Current number of rules: 760
% New rule produced :
% [800]
% X multiply X <-> additive_inverse(additive_identity) add additive_inverse(X)
% Current number of equations to process: 2749
% Current number of ordered equations: 0
% Current number of rules: 761
% New rule produced :
% [801]
% additive_inverse(c add additive_inverse(additive_identity)) <-> c multiply a
% Current number of equations to process: 2747
% Current number of ordered equations: 3
% Current number of rules: 762
% New rule produced :
% [802]
% c multiply a <-> additive_inverse(c add additive_inverse(additive_identity))
% Current number of equations to process: 2747
% Current number of ordered equations: 2
% Current number of rules: 763
% New rule produced :
% [803]
% c multiply a <-> additive_inverse(c) add additive_inverse(additive_identity)
% Current number of equations to process: 2747
% Current number of ordered equations: 1
% Current number of rules: 764
% New rule produced :
% [804]
% additive_inverse(c) add additive_inverse(additive_identity) <-> c multiply a
% Current number of equations to process: 2747
% Current number of ordered equations: 0
% Current number of rules: 765
% New rule produced :
% [805]
% additive_inverse(c add additive_inverse(additive_identity)) <-> c multiply b
% Current number of equations to process: 2745
% Current number of ordered equations: 3
% Current number of rules: 766
% New rule produced :
% [806]
% c multiply b <-> additive_inverse(c add additive_inverse(additive_identity))
% Current number of equations to process: 2745
% Current number of ordered equations: 2
% Current number of rules: 767
% New rule produced :
% [807]
% c multiply b <-> additive_inverse(c) add additive_inverse(additive_identity)
% Current number of equations to process: 2745
% Current number of ordered equations: 1
% Current number of rules: 768
% New rule produced :
% [808]
% additive_inverse(c) add additive_inverse(additive_identity) <-> c multiply b
% Current number of equations to process: 2745
% Current number of ordered equations: 0
% Current number of rules: 769
% New rule produced :
% [809]
% additive_inverse(c add additive_inverse(additive_identity)) <-> b multiply a
% Current number of equations to process: 2743
% Current number of ordered equations: 3
% Current number of rules: 770
% New rule produced :
% [810]
% b multiply a <-> additive_inverse(c add additive_inverse(additive_identity))
% Current number of equations to process: 2743
% Current number of ordered equations: 2
% Current number of rules: 771
% New rule produced :
% [811]
% b multiply a <-> additive_inverse(c) add additive_inverse(additive_identity)
% Current number of equations to process: 2743
% Current number of ordered equations: 1
% Current number of rules: 772
% New rule produced :
% [812]
% additive_inverse(c) add additive_inverse(additive_identity) <-> b multiply a
% Current number of equations to process: 2743
% Current number of ordered equations: 0
% Current number of rules: 773
% New rule produced : [813] c <-> a multiply additive_inverse(b multiply a)
% Current number of equations to process: 2742
% Current number of ordered equations: 1
% Current number of rules: 774
% New rule produced : [814] a multiply additive_inverse(b multiply a) <-> c
% Current number of equations to process: 2742
% Current number of ordered equations: 0
% Current number of rules: 775
% New rule produced : [815] c <-> b multiply additive_inverse(b multiply a)
% Current number of equations to process: 2741
% Current number of ordered equations: 1
% Current number of rules: 776
% New rule produced : [816] b multiply additive_inverse(b multiply a) <-> c
% Current number of equations to process: 2741
% Current number of ordered equations: 0
% Current number of rules: 777
% New rule produced :
% [817] additive_inverse(c multiply b) <-> c add additive_identity
% Current number of equations to process: 2756
% Current number of ordered equations: 1
% Current number of rules: 778
% New rule produced :
% [818] c add additive_identity <-> additive_inverse(c multiply b)
% Current number of equations to process: 2756
% Current number of ordered equations: 0
% Current number of rules: 779
% New rule produced : [819] additive_inverse(c multiply b) <-> c multiply c
% Current number of equations to process: 2755
% Current number of ordered equations: 1
% Current number of rules: 780
% New rule produced : [820] c multiply c <-> additive_inverse(c multiply b)
% Current number of equations to process: 2755
% Current number of ordered equations: 0
% Current number of rules: 781
% New rule produced :
% [821]
% additive_inverse(b multiply a) <-> additive_identity add additive_inverse(c)
% Current number of equations to process: 2754
% Current number of ordered equations: 1
% Current number of rules: 782
% New rule produced :
% [822]
% additive_identity add additive_inverse(c) <-> additive_inverse(b multiply a)
% Current number of equations to process: 2754
% Current number of ordered equations: 0
% Current number of rules: 783
% New rule produced :
% [823]
% additive_inverse(b multiply a) <-> c add additive_inverse(additive_identity)
% Current number of equations to process: 2753
% Current number of ordered equations: 1
% Current number of rules: 784
% New rule produced :
% [824]
% c add additive_inverse(additive_identity) <-> additive_inverse(b multiply a)
% Current number of equations to process: 2753
% Current number of ordered equations: 0
% Current number of rules: 785
% New rule produced :
% [825] additive_inverse(additive_inverse(b multiply a)) <-> c multiply a
% Current number of equations to process: 2752
% Current number of ordered equations: 1
% Current number of rules: 786
% New rule produced :
% [826] c multiply a <-> additive_inverse(additive_inverse(b multiply a))
% Current number of equations to process: 2752
% Current number of ordered equations: 0
% Current number of rules: 787
% New rule produced :
% [827] additive_inverse(additive_inverse(b multiply a)) <-> c multiply b
% Current number of equations to process: 2751
% Current number of ordered equations: 1
% Current number of rules: 788
% New rule produced :
% [828] c multiply b <-> additive_inverse(additive_inverse(b multiply a))
% Current number of equations to process: 2751
% Current number of ordered equations: 0
% Current number of rules: 789
% New rule produced : [829] c <-> a multiply additive_inverse(c multiply b)
% Current number of equations to process: 2750
% Current number of ordered equations: 1
% Current number of rules: 790
% New rule produced : [830] a multiply additive_inverse(c multiply b) <-> c
% Current number of equations to process: 2750
% Current number of ordered equations: 0
% Current number of rules: 791
% New rule produced : [831] c <-> b multiply additive_inverse(c multiply b)
% Current number of equations to process: 2749
% Current number of ordered equations: 1
% Current number of rules: 792
% New rule produced : [832] b multiply additive_inverse(c multiply b) <-> c
% Current number of equations to process: 2749
% Current number of ordered equations: 0
% Current number of rules: 793
% New rule produced :
% [833] additive_inverse(c multiply a) <-> c add additive_identity
% Current number of equations to process: 2764
% Current number of ordered equations: 1
% Current number of rules: 794
% New rule produced :
% [834] c add additive_identity <-> additive_inverse(c multiply a)
% Current number of equations to process: 2764
% Current number of ordered equations: 0
% Current number of rules: 795
% New rule produced : [835] additive_inverse(c multiply a) <-> c multiply c
% Current number of equations to process: 2763
% Current number of ordered equations: 1
% Current number of rules: 796
% New rule produced : [836] c multiply c <-> additive_inverse(c multiply a)
% Current number of equations to process: 2763
% Current number of ordered equations: 0
% Current number of rules: 797
% New rule produced :
% [837]
% additive_inverse(c multiply b) <-> additive_identity add additive_inverse(c)
% Current number of equations to process: 2762
% Current number of ordered equations: 1
% Current number of rules: 798
% New rule produced :
% [838]
% additive_identity add additive_inverse(c) <-> additive_inverse(c multiply b)
% Current number of equations to process: 2762
% Current number of ordered equations: 0
% Current number of rules: 799
% New rule produced :
% [839]
% additive_inverse(c multiply b) <-> c add additive_inverse(additive_identity)
% Current number of equations to process: 2761
% Current number of ordered equations: 1
% Current number of rules: 800
% New rule produced :
% [840]
% c add additive_inverse(additive_identity) <-> additive_inverse(c multiply b)
% Current number of equations to process: 2761
% Current number of ordered equations: 0
% Current number of rules: 801
% New rule produced :
% [841] additive_inverse(additive_inverse(c multiply b)) <-> c multiply a
% Current number of equations to process: 2760
% Current number of ordered equations: 1
% Current number of rules: 802
% New rule produced :
% [842] c multiply a <-> additive_inverse(additive_inverse(c multiply b))
% Current number of equations to process: 2760
% Current number of ordered equations: 0
% Current number of rules: 803
% New rule produced :
% [843] additive_inverse(additive_inverse(c multiply b)) <-> b multiply a
% Current number of equations to process: 2759
% Current number of ordered equations: 1
% Current number of rules: 804
% New rule produced :
% [844] b multiply a <-> additive_inverse(additive_inverse(c multiply b))
% Current number of equations to process: 2759
% Current number of ordered equations: 0
% Current number of rules: 805
% New rule produced : [845] c <-> a multiply additive_inverse(c multiply a)
% Current number of equations to process: 2758
% Current number of ordered equations: 1
% Current number of rules: 806
% New rule produced : [846] a multiply additive_inverse(c multiply a) <-> c
% Current number of equations to process: 2758
% Current number of ordered equations: 0
% Current number of rules: 807
% New rule produced : [847] c <-> b multiply additive_inverse(c multiply a)
% Current number of equations to process: 2757
% Current number of ordered equations: 1
% Current number of rules: 808
% New rule produced : [848] b multiply additive_inverse(c multiply a) <-> c
% Current number of equations to process: 2757
% Current number of ordered equations: 0
% Current number of rules: 809
% New rule produced :
% [849] c add additive_identity <-> c multiply additive_inverse(b)
% Current number of equations to process: 2774
% Current number of ordered equations: 1
% Current number of rules: 810
% New rule produced :
% [850] c multiply additive_inverse(b) <-> c add additive_identity
% Current number of equations to process: 2774
% Current number of ordered equations: 0
% Current number of rules: 811
% New rule produced : [851] c multiply c <-> c multiply additive_inverse(b)
% Current number of equations to process: 2773
% Current number of ordered equations: 1
% Current number of rules: 812
% New rule produced : [852] c multiply additive_inverse(b) <-> c multiply c
% Current number of equations to process: 2773
% Current number of ordered equations: 0
% Current number of rules: 813
% New rule produced : [853] c multiply a <-> c multiply additive_inverse(b)
% Current number of equations to process: 2772
% Current number of ordered equations: 1
% Current number of rules: 814
% New rule produced : [854] c multiply additive_inverse(b) <-> c multiply a
% Current number of equations to process: 2772
% Current number of ordered equations: 0
% Current number of rules: 815
% New rule produced : [855] c multiply additive_inverse(b) <-> b multiply a
% Current number of equations to process: 2771
% Current number of ordered equations: 1
% Current number of rules: 816
% New rule produced : [856] b multiply a <-> c multiply additive_inverse(b)
% Current number of equations to process: 2771
% Current number of ordered equations: 0
% Current number of rules: 817
% New rule produced :
% [857]
% additive_inverse(c multiply a) <-> additive_identity add additive_inverse(c)
% Current number of equations to process: 2770
% Current number of ordered equations: 1
% Current number of rules: 818
% New rule produced :
% [858]
% additive_identity add additive_inverse(c) <-> additive_inverse(c multiply a)
% Current number of equations to process: 2770
% Current number of ordered equations: 0
% Current number of rules: 819
% New rule produced :
% [859]
% additive_inverse(c multiply a) <-> c add additive_inverse(additive_identity)
% Current number of equations to process: 2769
% Current number of ordered equations: 1
% Current number of rules: 820
% New rule produced :
% [860]
% c add additive_inverse(additive_identity) <-> additive_inverse(c multiply a)
% Current number of equations to process: 2769
% Current number of ordered equations: 0
% Current number of rules: 821
% New rule produced :
% [861] additive_inverse(additive_inverse(c multiply a)) <-> c multiply b
% Current number of equations to process: 2768
% Current number of ordered equations: 1
% Current number of rules: 822
% New rule produced :
% [862] c multiply b <-> additive_inverse(additive_inverse(c multiply a))
% Current number of equations to process: 2768
% Current number of ordered equations: 0
% Current number of rules: 823
% New rule produced :
% [863] additive_inverse(additive_inverse(c multiply a)) <-> b multiply a
% Current number of equations to process: 2767
% Current number of ordered equations: 1
% Current number of rules: 824
% New rule produced :
% [864] b multiply a <-> additive_inverse(additive_inverse(c multiply a))
% Current number of equations to process: 2767
% Current number of ordered equations: 0
% Current number of rules: 825
% New rule produced : [865] c <-> c multiply a multiply additive_inverse(b)
% Current number of equations to process: 2766
% Current number of ordered equations: 1
% Current number of rules: 826
% New rule produced : [866] c multiply a multiply additive_inverse(b) <-> c
% Current number of equations to process: 2766
% Current number of ordered equations: 0
% Current number of rules: 827
% New rule produced : [867] c <-> c multiply b multiply additive_inverse(b)
% Current number of equations to process: 2765
% Current number of ordered equations: 1
% Current number of rules: 828
% New rule produced : [868] c multiply b multiply additive_inverse(b) <-> c
% Current number of equations to process: 2765
% Current number of ordered equations: 0
% Current number of rules: 829
% New rule produced :
% [869]
% additive_inverse(additive_inverse(c)) <-> c multiply additive_inverse(b)
% Current number of equations to process: 2789
% Current number of ordered equations: 1
% Current number of rules: 830
% New rule produced :
% [870]
% c multiply additive_inverse(b) <-> additive_inverse(additive_inverse(c))
% Current number of equations to process: 2789
% Current number of ordered equations: 0
% Current number of rules: 831
% New rule produced :
% [871] c add additive_identity <-> c multiply additive_inverse(a)
% Current number of equations to process: 2788
% Current number of ordered equations: 1
% Current number of rules: 832
% New rule produced :
% [872] c multiply additive_inverse(a) <-> c add additive_identity
% Current number of equations to process: 2788
% Current number of ordered equations: 0
% Current number of rules: 833
% New rule produced : [873] c multiply c <-> c multiply additive_inverse(a)
% Current number of equations to process: 2787
% Current number of ordered equations: 1
% Current number of rules: 834
% New rule produced : [874] c multiply additive_inverse(a) <-> c multiply c
% Current number of equations to process: 2787
% Current number of ordered equations: 0
% Current number of rules: 835
% New rule produced : [875] c multiply b <-> c multiply additive_inverse(a)
% Current number of equations to process: 2786
% Current number of ordered equations: 1
% Current number of rules: 836
% New rule produced : [876] c multiply additive_inverse(a) <-> c multiply b
% Current number of equations to process: 2786
% Current number of ordered equations: 0
% Current number of rules: 837
% New rule produced : [877] c multiply additive_inverse(a) <-> b multiply a
% Current number of equations to process: 2785
% Current number of ordered equations: 1
% Current number of rules: 838
% New rule produced : [878] b multiply a <-> c multiply additive_inverse(a)
% Current number of equations to process: 2785
% Current number of ordered equations: 0
% Current number of rules: 839
% New rule produced :
% [879]
% additive_inverse(c add additive_identity) <-> c multiply additive_inverse(b)
% Current number of equations to process: 2784
% Current number of ordered equations: 1
% Current number of rules: 840
% New rule produced :
% [880]
% c multiply additive_inverse(b) <-> additive_inverse(c add additive_identity)
% Current number of equations to process: 2784
% Current number of ordered equations: 0
% Current number of rules: 841
% New rule produced :
% [881] additive_inverse(c multiply c) <-> c multiply additive_inverse(b)
% Current number of equations to process: 2783
% Current number of ordered equations: 1
% Current number of rules: 842
% New rule produced :
% [882] c multiply additive_inverse(b) <-> additive_inverse(c multiply c)
% Current number of equations to process: 2783
% Current number of ordered equations: 0
% Current number of rules: 843
% New rule produced :
% [883]
% additive_identity add additive_inverse(c) <-> c multiply additive_inverse(b)
% Current number of equations to process: 2782
% Current number of ordered equations: 1
% Current number of rules: 844
% New rule produced :
% [884]
% c multiply additive_inverse(b) <-> additive_identity add additive_inverse(c)
% Current number of equations to process: 2782
% Current number of ordered equations: 0
% Current number of rules: 845
% New rule produced :
% [885]
% c add additive_inverse(additive_identity) <-> c multiply additive_inverse(b)
% Current number of equations to process: 2781
% Current number of ordered equations: 1
% Current number of rules: 846
% New rule produced :
% [886]
% c multiply additive_inverse(b) <-> c add additive_inverse(additive_identity)
% Current number of equations to process: 2781
% Current number of ordered equations: 0
% Current number of rules: 847
% New rule produced :
% [887] additive_inverse(b multiply a) <-> c multiply additive_inverse(b)
% Current number of equations to process: 2780
% Current number of ordered equations: 1
% Current number of rules: 848
% New rule produced :
% [888] c multiply additive_inverse(b) <-> additive_inverse(b multiply a)
% Current number of equations to process: 2780
% Current number of ordered equations: 0
% Current number of rules: 849
% New rule produced :
% [889] additive_inverse(c multiply b) <-> c multiply additive_inverse(b)
% Current number of equations to process: 2779
% Current number of ordered equations: 1
% Current number of rules: 850
% New rule produced :
% [890] c multiply additive_inverse(b) <-> additive_inverse(c multiply b)
% Current number of equations to process: 2779
% Current number of ordered equations: 0
% Current number of rules: 851
% New rule produced :
% [891] additive_inverse(c multiply a) <-> c multiply additive_inverse(b)
% Current number of equations to process: 2778
% Current number of ordered equations: 1
% Current number of rules: 852
% New rule produced :
% [892] c multiply additive_inverse(b) <-> additive_inverse(c multiply a)
% Current number of equations to process: 2778
% Current number of ordered equations: 0
% Current number of rules: 853
% New rule produced :
% [893] additive_inverse(c multiply additive_inverse(b)) <-> c multiply a
% Current number of equations to process: 2777
% Current number of ordered equations: 1
% Current number of rules: 854
% New rule produced :
% [894] c multiply a <-> additive_inverse(c multiply additive_inverse(b))
% Current number of equations to process: 2777
% Current number of ordered equations: 0
% Current number of rules: 855
% New rule produced :
% [895] additive_inverse(c multiply additive_inverse(b)) <-> c multiply b
% Current number of equations to process: 2776
% Current number of ordered equations: 1
% Current number of rules: 856
% New rule produced :
% [896] c multiply b <-> additive_inverse(c multiply additive_inverse(b))
% Current number of equations to process: 2776
% Current number of ordered equations: 0
% Current number of rules: 857
% New rule produced :
% [897] additive_inverse(c multiply additive_inverse(b)) <-> b multiply a
% Current number of equations to process: 2775
% Current number of ordered equations: 1
% Current number of rules: 858
% New rule produced :
% [898] b multiply a <-> additive_inverse(c multiply additive_inverse(b))
% Current number of equations to process: 2775
% Current number of ordered equations: 0
% Current number of rules: 859
% New rule produced : [899] c <-> c multiply a multiply additive_inverse(a)
% Current number of equations to process: 2774
% Current number of ordered equations: 1
% Current number of rules: 860
% New rule produced : [900] c multiply a multiply additive_inverse(a) <-> c
% Current number of equations to process: 2774
% Current number of ordered equations: 0
% Current number of rules: 861
% New rule produced : [901] c <-> c multiply b multiply additive_inverse(a)
% Current number of equations to process: 2773
% Current number of ordered equations: 1
% Current number of rules: 862
% New rule produced : [902] c multiply b multiply additive_inverse(a) <-> c
% Current number of equations to process: 2773
% Current number of ordered equations: 0
% Current number of rules: 863
% New rule produced :
% [903]
% additive_inverse(additive_inverse(c)) <-> c multiply additive_inverse(a)
% Current number of equations to process: 2797
% Current number of ordered equations: 1
% Current number of rules: 864
% New rule produced :
% [904]
% c multiply additive_inverse(a) <-> additive_inverse(additive_inverse(c))
% Current number of equations to process: 2797
% Current number of ordered equations: 0
% Current number of rules: 865
% New rule produced :
% [905] c add additive_identity <-> a multiply additive_inverse(b)
% Current number of equations to process: 2796
% Current number of ordered equations: 1
% Current number of rules: 866
% New rule produced :
% [906] a multiply additive_inverse(b) <-> c add additive_identity
% Current number of equations to process: 2796
% Current number of ordered equations: 0
% Current number of rules: 867
% New rule produced : [907] c multiply c <-> a multiply additive_inverse(b)
% Current number of equations to process: 2795
% Current number of ordered equations: 1
% Current number of rules: 868
% New rule produced : [908] a multiply additive_inverse(b) <-> c multiply c
% Current number of equations to process: 2795
% Current number of ordered equations: 0
% Current number of rules: 869
% New rule produced : [909] c multiply a <-> a multiply additive_inverse(b)
% Current number of equations to process: 2794
% Current number of ordered equations: 1
% Current number of rules: 870
% New rule produced : [910] a multiply additive_inverse(b) <-> c multiply a
% Current number of equations to process: 2794
% Current number of ordered equations: 0
% Current number of rules: 871
% New rule produced :
% [911]
% additive_inverse(c add additive_identity) <-> c multiply additive_inverse(a)
% Current number of equations to process: 2793
% Current number of ordered equations: 1
% Current number of rules: 872
% New rule produced :
% [912]
% c multiply additive_inverse(a) <-> additive_inverse(c add additive_identity)
% Current number of equations to process: 2793
% Current number of ordered equations: 0
% Current number of rules: 873
% New rule produced :
% [913] additive_inverse(c multiply c) <-> c multiply additive_inverse(a)
% Current number of equations to process: 2792
% Current number of ordered equations: 1
% Current number of rules: 874
% New rule produced :
% [914] c multiply additive_inverse(a) <-> additive_inverse(c multiply c)
% Current number of equations to process: 2792
% Current number of ordered equations: 0
% Current number of rules: 875
% New rule produced :
% [915]
% additive_identity add additive_inverse(c) <-> c multiply additive_inverse(a)
% Current number of equations to process: 2791
% Current number of ordered equations: 1
% Current number of rules: 876
% New rule produced :
% [916]
% c multiply additive_inverse(a) <-> additive_identity add additive_inverse(c)
% Current number of equations to process: 2791
% Current number of ordered equations: 0
% Current number of rules: 877
% New rule produced :
% [917]
% c add additive_inverse(additive_identity) <-> c multiply additive_inverse(a)
% Current number of equations to process: 2790
% Current number of ordered equations: 1
% Current number of rules: 878
% New rule produced :
% [918]
% c multiply additive_inverse(a) <-> c add additive_inverse(additive_identity)
% Current number of equations to process: 2790
% Current number of ordered equations: 0
% Current number of rules: 879
% New rule produced :
% [919] additive_inverse(b multiply a) <-> c multiply additive_inverse(a)
% Current number of equations to process: 2789
% Current number of ordered equations: 1
% Current number of rules: 880
% New rule produced :
% [920] c multiply additive_inverse(a) <-> additive_inverse(b multiply a)
% Current number of equations to process: 2789
% Current number of ordered equations: 0
% Current number of rules: 881
% New rule produced :
% [921] additive_inverse(c multiply b) <-> c multiply additive_inverse(a)
% Current number of equations to process: 2788
% Current number of ordered equations: 1
% Current number of rules: 882
% New rule produced :
% [922] c multiply additive_inverse(a) <-> additive_inverse(c multiply b)
% Current number of equations to process: 2788
% Current number of ordered equations: 0
% Current number of rules: 883
% New rule produced :
% [923] additive_inverse(c multiply a) <-> c multiply additive_inverse(a)
% Current number of equations to process: 2787
% Current number of ordered equations: 1
% Current number of rules: 884
% New rule produced :
% [924] c multiply additive_inverse(a) <-> additive_inverse(c multiply a)
% Current number of equations to process: 2787
% Current number of ordered equations: 0
% Current number of rules: 885
% New rule produced :
% [925] c multiply additive_inverse(b) <-> c multiply additive_inverse(a)
% Current number of equations to process: 2786
% Current number of ordered equations: 1
% Current number of rules: 886
% New rule produced :
% [926] c multiply additive_inverse(a) <-> c multiply additive_inverse(b)
% Current number of equations to process: 2786
% Current number of ordered equations: 0
% Current number of rules: 887
% New rule produced :
% [927] additive_inverse(c multiply additive_inverse(a)) <-> c multiply a
% Current number of equations to process: 2785
% Current number of ordered equations: 1
% Current number of rules: 888
% New rule produced :
% [928] c multiply a <-> additive_inverse(c multiply additive_inverse(a))
% Current number of equations to process: 2785
% Current number of ordered equations: 0
% Current number of rules: 889
% New rule produced :
% [929] additive_inverse(c multiply additive_inverse(a)) <-> c multiply b
% Current number of equations to process: 2784
% Current number of ordered equations: 1
% Current number of rules: 890
% New rule produced :
% [930] c multiply b <-> additive_inverse(c multiply additive_inverse(a))
% Current number of equations to process: 2784
% Current number of ordered equations: 0
% Current number of rules: 891
% New rule produced :
% [931] additive_inverse(c multiply additive_inverse(a)) <-> b multiply a
% Current number of equations to process: 2783
% Current number of ordered equations: 1
% Current number of rules: 892
% New rule produced :
% [932] b multiply a <-> additive_inverse(c multiply additive_inverse(a))
% Current number of equations to process: 2783
% Current number of ordered equations: 0
% Current number of rules: 893
% New rule produced : [933] c <-> a multiply a multiply additive_inverse(b)
% Current number of equations to process: 2782
% Current number of ordered equations: 1
% Current number of rules: 894
% New rule produced : [934] a multiply a multiply additive_inverse(b) <-> c
% Current number of equations to process: 2782
% Current number of ordered equations: 0
% Current number of rules: 895
% New rule produced : [935] c <-> b multiply a multiply additive_inverse(b)
% Current number of equations to process: 2781
% Current number of ordered equations: 1
% Current number of rules: 896
% New rule produced : [936] b multiply a multiply additive_inverse(b) <-> c
% Current number of equations to process: 2781
% Current number of ordered equations: 0
% Current number of rules: 897
% New rule produced :
% [937]
% additive_inverse(additive_inverse(c)) <-> a multiply additive_inverse(b)
% Current number of equations to process: 2804
% Current number of ordered equations: 1
% Current number of rules: 898
% New rule produced :
% [938]
% a multiply additive_inverse(b) <-> additive_inverse(additive_inverse(c))
% Current number of equations to process: 2804
% Current number of ordered equations: 0
% Current number of rules: 899
% New rule produced :
% [939] c add additive_identity <-> a multiply additive_inverse(c)
% Current number of equations to process: 2803
% Current number of ordered equations: 1
% Current number of rules: 900
% New rule produced :
% [940] a multiply additive_inverse(c) <-> c add additive_identity
% Current number of equations to process: 2803
% Current number of ordered equations: 0
% Current number of rules: 901
% New rule produced :
% [941]
% additive_inverse(c add additive_identity) <-> a multiply additive_inverse(b)
% Current number of equations to process: 2802
% Current number of ordered equations: 1
% Current number of rules: 902
% New rule produced :
% [942]
% a multiply additive_inverse(b) <-> additive_inverse(c add additive_identity)
% Current number of equations to process: 2802
% Current number of ordered equations: 0
% Current number of rules: 903
% New rule produced :
% [943] additive_inverse(c multiply c) <-> a multiply additive_inverse(b)
% Current number of equations to process: 2801
% Current number of ordered equations: 1
% Current number of rules: 904
% New rule produced :
% [944] a multiply additive_inverse(b) <-> additive_inverse(c multiply c)
% Current number of equations to process: 2801
% Current number of ordered equations: 0
% Current number of rules: 905
% New rule produced :
% [945]
% additive_identity add additive_inverse(c) <-> a multiply additive_inverse(b)
% Current number of equations to process: 2800
% Current number of ordered equations: 1
% Current number of rules: 906
% New rule produced :
% [946]
% a multiply additive_inverse(b) <-> additive_identity add additive_inverse(c)
% Current number of equations to process: 2800
% Current number of ordered equations: 0
% Current number of rules: 907
% New rule produced :
% [947]
% c add additive_inverse(additive_identity) <-> a multiply additive_inverse(b)
% Current number of equations to process: 2799
% Current number of ordered equations: 1
% Current number of rules: 908
% New rule produced :
% [948]
% a multiply additive_inverse(b) <-> c add additive_inverse(additive_identity)
% Current number of equations to process: 2799
% Current number of ordered equations: 0
% Current number of rules: 909
% New rule produced :
% [949] additive_inverse(b multiply a) <-> a multiply additive_inverse(b)
% Current number of equations to process: 2798
% Current number of ordered equations: 1
% Current number of rules: 910
% New rule produced :
% [950] a multiply additive_inverse(b) <-> additive_inverse(b multiply a)
% Current number of equations to process: 2798
% Current number of ordered equations: 0
% Current number of rules: 911
% New rule produced :
% [951] additive_inverse(c multiply b) <-> a multiply additive_inverse(b)
% Current number of equations to process: 2797
% Current number of ordered equations: 1
% Current number of rules: 912
% New rule produced :
% [952] a multiply additive_inverse(b) <-> additive_inverse(c multiply b)
% Current number of equations to process: 2797
% Current number of ordered equations: 0
% Current number of rules: 913
% New rule produced :
% [953] additive_inverse(c multiply a) <-> a multiply additive_inverse(b)
% Current number of equations to process: 2796
% Current number of ordered equations: 1
% Current number of rules: 914
% New rule produced :
% [954] a multiply additive_inverse(b) <-> additive_inverse(c multiply a)
% Current number of equations to process: 2796
% Current number of ordered equations: 0
% Current number of rules: 915
% New rule produced :
% [955] c multiply additive_inverse(b) <-> a multiply additive_inverse(b)
% Current number of equations to process: 2795
% Current number of ordered equations: 1
% Current number of rules: 916
% New rule produced :
% [956] a multiply additive_inverse(b) <-> c multiply additive_inverse(b)
% Current number of equations to process: 2795
% Current number of ordered equations: 0
% Current number of rules: 917
% New rule produced :
% [957] c multiply additive_inverse(a) <-> a multiply additive_inverse(b)
% Current number of equations to process: 2794
% Current number of ordered equations: 1
% Current number of rules: 918
% New rule produced :
% [958] a multiply additive_inverse(b) <-> c multiply additive_inverse(a)
% Current number of equations to process: 2794
% Current number of ordered equations: 0
% Current number of rules: 919
% New rule produced :
% [959] additive_inverse(a multiply additive_inverse(b)) <-> c multiply a
% Current number of equations to process: 2793
% Current number of ordered equations: 1
% Current number of rules: 920
% New rule produced :
% [960] c multiply a <-> additive_inverse(a multiply additive_inverse(b))
% Current number of equations to process: 2793
% Current number of ordered equations: 0
% Current number of rules: 921
% New rule produced :
% [961] additive_inverse(a multiply additive_inverse(b)) <-> c multiply b
% Current number of equations to process: 2792
% Current number of ordered equations: 1
% Current number of rules: 922
% New rule produced :
% [962] c multiply b <-> additive_inverse(a multiply additive_inverse(b))
% Current number of equations to process: 2792
% Current number of ordered equations: 0
% Current number of rules: 923
% New rule produced :
% [963] additive_inverse(a multiply additive_inverse(b)) <-> b multiply a
% Current number of equations to process: 2791
% Current number of ordered equations: 1
% Current number of rules: 924
% New rule produced :
% [964] b multiply a <-> additive_inverse(a multiply additive_inverse(b))
% Current number of equations to process: 2791
% Current number of ordered equations: 0
% Current number of rules: 925
% New rule produced : [965] c <-> a multiply a multiply additive_inverse(c)
% Current number of equations to process: 2790
% Current number of ordered equations: 1
% Current number of rules: 926
% New rule produced : [966] a multiply a multiply additive_inverse(c) <-> c
% Current number of equations to process: 2790
% Current number of ordered equations: 0
% Current number of rules: 927
% New rule produced : [967] c <-> b multiply a multiply additive_inverse(c)
% Current number of equations to process: 2789
% Current number of ordered equations: 1
% Current number of rules: 928
% New rule produced : [968] b multiply a multiply additive_inverse(c) <-> c
% Current number of equations to process: 2789
% Current number of ordered equations: 0
% Current number of rules: 929
% New rule produced :
% [969]
% additive_inverse(additive_inverse(c)) <-> a multiply additive_inverse(c)
% Current number of equations to process: 2810
% Current number of ordered equations: 1
% Current number of rules: 930
% New rule produced :
% [970]
% a multiply additive_inverse(c) <-> additive_inverse(additive_inverse(c))
% Current number of equations to process: 2810
% Current number of ordered equations: 0
% Current number of rules: 931
% New rule produced :
% [971] c add additive_identity <-> b multiply additive_inverse(c)
% Current number of equations to process: 2809
% Current number of ordered equations: 1
% Current number of rules: 932
% New rule produced :
% [972] b multiply additive_inverse(c) <-> c add additive_identity
% Current number of equations to process: 2809
% Current number of ordered equations: 0
% Current number of rules: 933
% New rule produced :
% [973]
% additive_inverse(c add additive_identity) <-> a multiply additive_inverse(c)
% Current number of equations to process: 2808
% Current number of ordered equations: 1
% Current number of rules: 934
% New rule produced :
% [974]
% a multiply additive_inverse(c) <-> additive_inverse(c add additive_identity)
% Current number of equations to process: 2808
% Current number of ordered equations: 0
% Current number of rules: 935
% New rule produced :
% [975] additive_inverse(c multiply c) <-> a multiply additive_inverse(c)
% Current number of equations to process: 2807
% Current number of ordered equations: 1
% Current number of rules: 936
% New rule produced :
% [976] a multiply additive_inverse(c) <-> additive_inverse(c multiply c)
% Current number of equations to process: 2807
% Current number of ordered equations: 0
% Current number of rules: 937
% New rule produced :
% [977]
% additive_identity add additive_inverse(c) <-> a multiply additive_inverse(c)
% Current number of equations to process: 2806
% Current number of ordered equations: 1
% Current number of rules: 938
% New rule produced :
% [978]
% a multiply additive_inverse(c) <-> additive_identity add additive_inverse(c)
% Current number of equations to process: 2806
% Current number of ordered equations: 0
% Current number of rules: 939
% New rule produced :
% [979]
% c add additive_inverse(additive_identity) <-> a multiply additive_inverse(c)
% Current number of equations to process: 2805
% Current number of ordered equations: 1
% Current number of rules: 940
% New rule produced :
% [980]
% a multiply additive_inverse(c) <-> c add additive_inverse(additive_identity)
% Current number of equations to process: 2805
% Current number of ordered equations: 0
% Current number of rules: 941
% New rule produced :
% [981] additive_inverse(b multiply a) <-> a multiply additive_inverse(c)
% Current number of equations to process: 2804
% Current number of ordered equations: 1
% Current number of rules: 942
% New rule produced :
% [982] a multiply additive_inverse(c) <-> additive_inverse(b multiply a)
% Current number of equations to process: 2804
% Current number of ordered equations: 0
% Current number of rules: 943
% New rule produced :
% [983] additive_inverse(c multiply b) <-> a multiply additive_inverse(c)
% Current number of equations to process: 2803
% Current number of ordered equations: 1
% Current number of rules: 944
% New rule produced :
% [984] a multiply additive_inverse(c) <-> additive_inverse(c multiply b)
% Current number of equations to process: 2803
% Current number of ordered equations: 0
% Current number of rules: 945
% New rule produced :
% [985] additive_inverse(c multiply a) <-> a multiply additive_inverse(c)
% Current number of equations to process: 2802
% Current number of ordered equations: 1
% Current number of rules: 946
% New rule produced :
% [986] a multiply additive_inverse(c) <-> additive_inverse(c multiply a)
% Current number of equations to process: 2802
% Current number of ordered equations: 0
% Current number of rules: 947
% New rule produced :
% [987] c multiply additive_inverse(b) <-> a multiply additive_inverse(c)
% Current number of equations to process: 2801
% Current number of ordered equations: 1
% Current number of rules: 948
% New rule produced :
% [988] a multiply additive_inverse(c) <-> c multiply additive_inverse(b)
% Current number of equations to process: 2801
% Current number of ordered equations: 0
% Current number of rules: 949
% New rule produced :
% [989] a multiply additive_inverse(b) <-> a multiply additive_inverse(c)
% Current number of equations to process: 2800
% Current number of ordered equations: 1
% Current number of rules: 950
% New rule produced :
% [990] a multiply additive_inverse(c) <-> a multiply additive_inverse(b)
% Current number of equations to process: 2800
% Current number of ordered equations: 0
% Current number of rules: 951
% New rule produced :
% [991] additive_inverse(a multiply additive_inverse(c)) <-> c multiply a
% Current number of equations to process: 2799
% Current number of ordered equations: 1
% Current number of rules: 952
% New rule produced :
% [992] c multiply a <-> additive_inverse(a multiply additive_inverse(c))
% Current number of equations to process: 2799
% Current number of ordered equations: 0
% Current number of rules: 953
% New rule produced :
% [993] additive_inverse(a multiply additive_inverse(c)) <-> c multiply b
% Current number of equations to process: 2798
% Current number of ordered equations: 1
% Current number of rules: 954
% New rule produced :
% [994] c multiply b <-> additive_inverse(a multiply additive_inverse(c))
% Current number of equations to process: 2798
% Current number of ordered equations: 0
% Current number of rules: 955
% New rule produced :
% [995] additive_inverse(a multiply additive_inverse(c)) <-> b multiply a
% Current number of equations to process: 2797
% Current number of ordered equations: 1
% Current number of rules: 956
% New rule produced :
% [996] b multiply a <-> additive_inverse(a multiply additive_inverse(c))
% Current number of equations to process: 2797
% Current number of ordered equations: 0
% Current number of rules: 957
% New rule produced : [997] c <-> b multiply b multiply additive_inverse(c)
% Current number of equations to process: 2796
% Current number of ordered equations: 1
% Current number of rules: 958
% New rule produced : [998] b multiply b multiply additive_inverse(c) <-> c
% Current number of equations to process: 2796
% Current number of ordered equations: 0
% Current number of rules: 959
% New rule produced :
% [999]
% additive_inverse(additive_inverse(c)) <-> b multiply additive_inverse(c)
% Current number of equations to process: 2818
% Current number of ordered equations: 1
% Current number of rules: 960
% New rule produced :
% [1000]
% b multiply additive_inverse(c) <-> additive_inverse(additive_inverse(c))
% Current number of equations to process: 2818
% Current number of ordered equations: 0
% Current number of rules: 961
% New rule produced :
% [1001] c add additive_identity <-> b multiply additive_inverse(a)
% Current number of equations to process: 2817
% Current number of ordered equations: 1
% Current number of rules: 962
% New rule produced :
% [1002] b multiply additive_inverse(a) <-> c add additive_identity
% Current number of equations to process: 2817
% Current number of ordered equations: 0
% Current number of rules: 963
% New rule produced : [1003] c multiply c <-> b multiply additive_inverse(a)
% Current number of equations to process: 2816
% Current number of ordered equations: 1
% Current number of rules: 964
% New rule produced : [1004] b multiply additive_inverse(a) <-> c multiply c
% Current number of equations to process: 2816
% Current number of ordered equations: 0
% Current number of rules: 965
% New rule produced : [1005] c multiply b <-> b multiply additive_inverse(a)
% Current number of equations to process: 2815
% Current number of ordered equations: 1
% Current number of rules: 966
% New rule produced : [1006] b multiply additive_inverse(a) <-> c multiply b
% Current number of equations to process: 2815
% Current number of ordered equations: 0
% Current number of rules: 967
% New rule produced :
% [1007]
% additive_inverse(c add additive_identity) <-> b multiply additive_inverse(c)
% Current number of equations to process: 2814
% Current number of ordered equations: 1
% Current number of rules: 968
% New rule produced :
% [1008]
% b multiply additive_inverse(c) <-> additive_inverse(c add additive_identity)
% Current number of equations to process: 2814
% Current number of ordered equations: 0
% Current number of rules: 969
% New rule produced :
% [1009] additive_inverse(c multiply c) <-> b multiply additive_inverse(c)
% Current number of equations to process: 2813
% Current number of ordered equations: 1
% Current number of rules: 970
% New rule produced :
% [1010] b multiply additive_inverse(c) <-> additive_inverse(c multiply c)
% Current number of equations to process: 2813
% Current number of ordered equations: 0
% Current number of rules: 971
% New rule produced :
% [1011]
% additive_identity add additive_inverse(c) <-> b multiply additive_inverse(c)
% Current number of equations to process: 2812
% Current number of ordered equations: 1
% Current number of rules: 972
% New rule produced :
% [1012]
% b multiply additive_inverse(c) <-> additive_identity add additive_inverse(c)
% Current number of equations to process: 2812
% Current number of ordered equations: 0
% Current number of rules: 973
% New rule produced :
% [1013]
% c add additive_inverse(additive_identity) <-> b multiply additive_inverse(c)
% Current number of equations to process: 2811
% Current number of ordered equations: 1
% Current number of rules: 974
% New rule produced :
% [1014]
% b multiply additive_inverse(c) <-> c add additive_inverse(additive_identity)
% Current number of equations to process: 2811
% Current number of ordered equations: 0
% Current number of rules: 975
% New rule produced :
% [1015] additive_inverse(b multiply a) <-> b multiply additive_inverse(c)
% Current number of equations to process: 2810
% Current number of ordered equations: 1
% Current number of rules: 976
% New rule produced :
% [1016] b multiply additive_inverse(c) <-> additive_inverse(b multiply a)
% Current number of equations to process: 2810
% Current number of ordered equations: 0
% Current number of rules: 977
% New rule produced :
% [1017] additive_inverse(c multiply b) <-> b multiply additive_inverse(c)
% Current number of equations to process: 2809
% Current number of ordered equations: 1
% Current number of rules: 978
% New rule produced :
% [1018] b multiply additive_inverse(c) <-> additive_inverse(c multiply b)
% Current number of equations to process: 2809
% Current number of ordered equations: 0
% Current number of rules: 979
% New rule produced :
% [1019] additive_inverse(c multiply a) <-> b multiply additive_inverse(c)
% Current number of equations to process: 2808
% Current number of ordered equations: 1
% Current number of rules: 980
% New rule produced :
% [1020] b multiply additive_inverse(c) <-> additive_inverse(c multiply a)
% Current number of equations to process: 2808
% Current number of ordered equations: 0
% Current number of rules: 981
% New rule produced :
% [1021] c multiply additive_inverse(a) <-> b multiply additive_inverse(c)
% Current number of equations to process: 2807
% Current number of ordered equations: 1
% Current number of rules: 982
% New rule produced :
% [1022] b multiply additive_inverse(c) <-> c multiply additive_inverse(a)
% Current number of equations to process: 2807
% Current number of ordered equations: 0
% Current number of rules: 983
% New rule produced :
% [1023] additive_inverse(b multiply additive_inverse(c)) <-> c multiply a
% Current number of equations to process: 2806
% Current number of ordered equations: 1
% Current number of rules: 984
% New rule produced :
% [1024] c multiply a <-> additive_inverse(b multiply additive_inverse(c))
% Current number of equations to process: 2806
% Current number of ordered equations: 0
% Current number of rules: 985
% New rule produced :
% [1025] additive_inverse(b multiply additive_inverse(c)) <-> c multiply b
% Current number of equations to process: 2805
% Current number of ordered equations: 1
% Current number of rules: 986
% New rule produced :
% [1026] c multiply b <-> additive_inverse(b multiply additive_inverse(c))
% Current number of equations to process: 2805
% Current number of ordered equations: 0
% Current number of rules: 987
% New rule produced :
% [1027] additive_inverse(b multiply additive_inverse(c)) <-> b multiply a
% Current number of equations to process: 2804
% Current number of ordered equations: 1
% Current number of rules: 988
% New rule produced :
% [1028] b multiply a <-> additive_inverse(b multiply additive_inverse(c))
% Current number of equations to process: 2804
% Current number of ordered equations: 0
% Current number of rules: 989
% New rule produced : [1029] c <-> b multiply a multiply additive_inverse(a)
% Current number of equations to process: 2803
% Current number of ordered equations: 1
% Current number of rules: 990
% New rule produced : [1030] b multiply a multiply additive_inverse(a) <-> c
% Current number of equations to process: 2803
% Current number of ordered equations: 0
% Current number of rules: 991
% New rule produced : [1031] c <-> b multiply b multiply additive_inverse(a)
% Current number of equations to process: 2802
% Current number of ordered equations: 1
% Current number of rules: 992
% New rule produced : [1032] b multiply b multiply additive_inverse(a) <-> c
% Current number of equations to process: 2802
% Current number of ordered equations: 0
% Current number of rules: 993
% New rule produced :
% [1033]
% additive_inverse(additive_inverse(c)) <-> b multiply additive_inverse(a)
% Current number of equations to process: 2822
% Current number of ordered equations: 1
% Current number of rules: 994
% New rule produced :
% [1034]
% b multiply additive_inverse(a) <-> additive_inverse(additive_inverse(c))
% Current number of equations to process: 2822
% Current number of ordered equations: 0
% Current number of rules: 995
% New rule produced :
% [1035]
% additive_inverse(c add additive_identity) <-> b multiply additive_inverse(a)
% Current number of equations to process: 2821
% Current number of ordered equations: 1
% Current number of rules: 996
% New rule produced :
% [1036]
% b multiply additive_inverse(a) <-> additive_inverse(c add additive_identity)
% Current number of equations to process: 2821
% Current number of ordered equations: 0
% Current number of rules: 997
% New rule produced :
% [1037] additive_inverse(c multiply c) <-> b multiply additive_inverse(a)
% Current number of equations to process: 2820
% Current number of ordered equations: 1
% Current number of rules: 998
% New rule produced :
% [1038] b multiply additive_inverse(a) <-> additive_inverse(c multiply c)
% Current number of equations to process: 2820
% Current number of ordered equations: 0
% Current number of rules: 999
% New rule produced :
% [1039]
% additive_identity add additive_inverse(c) <-> b multiply additive_inverse(a)
% Current number of equations to process: 2819
% Current number of ordered equations: 1
% Current number of rules: 1000
% New rule produced :
% [1040]
% b multiply additive_inverse(a) <-> additive_identity add additive_inverse(c)
% Current number of equations to process: 2819
% Current number of ordered equations: 0
% Current number of rules: 1001
% New rule produced :
% [1041]
% c add additive_inverse(additive_identity) <-> b multiply additive_inverse(a)
% Current number of equations to process: 2818
% Current number of ordered equations: 1
% Current number of rules: 1002
% New rule produced :
% [1042]
% b multiply additive_inverse(a) <-> c add additive_inverse(additive_identity)
% Current number of equations to process: 2818
% Current number of ordered equations: 0
% Current number of rules: 1003
% New rule produced :
% [1043] additive_inverse(b multiply a) <-> b multiply additive_inverse(a)
% Current number of equations to process: 2817
% Current number of ordered equations: 1
% Current number of rules: 1004
% New rule produced :
% [1044] b multiply additive_inverse(a) <-> additive_inverse(b multiply a)
% Current number of equations to process: 2817
% Current number of ordered equations: 0
% Current number of rules: 1005
% New rule produced :
% [1045] additive_inverse(c multiply b) <-> b multiply additive_inverse(a)
% Current number of equations to process: 2816
% Current number of ordered equations: 1
% Current number of rules: 1006
% New rule produced :
% [1046] b multiply additive_inverse(a) <-> additive_inverse(c multiply b)
% Current number of equations to process: 2816
% Current number of ordered equations: 0
% Current number of rules: 1007
% New rule produced :
% [1047] additive_inverse(c multiply a) <-> b multiply additive_inverse(a)
% Current number of equations to process: 2815
% Current number of ordered equations: 1
% Current number of rules: 1008
% New rule produced :
% [1048] b multiply additive_inverse(a) <-> additive_inverse(c multiply a)
% Current number of equations to process: 2815
% Current number of ordered equations: 0
% Current number of rules: 1009
% New rule produced :
% [1049] c multiply additive_inverse(b) <-> b multiply additive_inverse(a)
% Current number of equations to process: 2814
% Current number of ordered equations: 1
% Current number of rules: 1010
% New rule produced :
% [1050] b multiply additive_inverse(a) <-> c multiply additive_inverse(b)
% Current number of equations to process: 2814
% Current number of ordered equations: 0
% Current number of rules: 1011
% New rule produced :
% [1051] c multiply additive_inverse(a) <-> b multiply additive_inverse(a)
% Current number of equations to process: 2813
% Current number of ordered equations: 1
% Current number of rules: 1012
% New rule produced :
% [1052] b multiply additive_inverse(a) <-> c multiply additive_inverse(a)
% Current number of equations to process: 2813
% Current number of ordered equations: 0
% Current number of rules: 1013
% New rule produced :
% [1053] a multiply additive_inverse(b) <-> b multiply additive_inverse(a)
% Current number of equations to process: 2812
% Current number of ordered equations: 1
% Current number of rules: 1014
% New rule produced :
% [1054] b multiply additive_inverse(a) <-> a multiply additive_inverse(b)
% Current number of equations to process: 2812
% Current number of ordered equations: 0
% Current number of rules: 1015
% New rule produced :
% [1055] b multiply additive_inverse(c) <-> b multiply additive_inverse(a)
% Current number of equations to process: 2811
% Current number of ordered equations: 1
% Current number of rules: 1016
% New rule produced :
% [1056] b multiply additive_inverse(a) <-> b multiply additive_inverse(c)
% Current number of equations to process: 2811
% Current number of ordered equations: 0
% Current number of rules: 1017
% New rule produced :
% [1057]
% additive_inverse(additive_identity multiply Y) <-> additive_inverse(X) add X
% Rule
% [663]
% additive_inverse(additive_identity multiply additive_identity) <->
% additive_inverse(X) add X collapsed.
% Current number of equations to process: 2810
% Current number of ordered equations: 1
% Current number of rules: 1017
% New rule produced :
% [1058]
% additive_inverse(X) add X <-> additive_inverse(additive_identity multiply Y)
% Rule
% [664]
% additive_inverse(X) add X <->
% additive_inverse(additive_identity multiply additive_identity) collapsed.
% Current number of equations to process: 2810
% Current number of ordered equations: 0
% Current number of rules: 1017
% New rule produced :
% [1059] additive_inverse(b multiply additive_inverse(a)) <-> c multiply a
% Current number of equations to process: 2809
% Current number of ordered equations: 1
% Current number of rules: 1018
% New rule produced :
% [1060] c multiply a <-> additive_inverse(b multiply additive_inverse(a))
% Current number of equations to process: 2809
% Current number of ordered equations: 0
% Current number of rules: 1019
% New rule produced :
% [1061] additive_inverse(b multiply additive_inverse(a)) <-> c multiply b
% Current number of equations to process: 2808
% Current number of ordered equations: 1
% Current number of rules: 1020
% New rule produced :
% [1062] c multiply b <-> additive_inverse(b multiply additive_inverse(a))
% Current number of equations to process: 2808
% Current number of ordered equations: 0
% Current number of rules: 1021
% New rule produced :
% [1063] additive_inverse(b multiply additive_inverse(a)) <-> b multiply a
% Current number of equations to process: 2807
% Current number of ordered equations: 1
% Current number of rules: 1022
% New rule produced :
% [1064] b multiply a <-> additive_inverse(b multiply additive_inverse(a))
% Current number of equations to process: 2807
% Current number of ordered equations: 0
% Current number of rules: 1023
% New rule produced :
% [1065] Y <-> additive_inverse(additive_identity multiply X) add Y
% Rule
% [689]
% X <-> additive_inverse(additive_identity multiply additive_identity) add X
% collapsed.
% Rule
% [717]
% additive_identity <->
% additive_identity add additive_inverse(additive_identity multiply X)
% collapsed.
% Current number of equations to process: 2806
% Current number of ordered equations: 1
% Current number of rules: 1022
% New rule produced :
% [1066] additive_inverse(additive_identity multiply X) add Y <-> Y
% Rule
% [690]
% additive_inverse(additive_identity multiply additive_identity) add X <-> X
% collapsed.
% Rule
% [718]
% additive_identity add additive_inverse(additive_identity multiply X) <->
% additive_identity collapsed.
% Current number of equations to process: 2806
% Current number of ordered equations: 0
% Current number of rules: 1021
% New rule produced :
% [1067] additive_inverse(Y add Y) <-> additive_inverse(X) add X
% Rule
% [526]
% additive_inverse(X add X) <->
% additive_identity add additive_inverse(additive_identity) collapsed.
% Rule
% [631]
% additive_inverse(additive_identity add additive_identity) <->
% additive_inverse(X) add X collapsed.
% Current number of equations to process: 2815
% Current number of ordered equations: 1
% Current number of rules: 1020
% New rule produced :
% [1068] additive_inverse(X) add X <-> additive_inverse(Y add Y)
% Rule
% [527]
% additive_identity add additive_inverse(additive_identity) <->
% additive_inverse(X add X) collapsed.
% Rule
% [632]
% additive_inverse(X) add X <->
% additive_inverse(additive_identity add additive_identity) collapsed.
% Current number of equations to process: 2815
% Current number of ordered equations: 0
% Current number of rules: 1019
% New rule produced :
% [1069]
% additive_inverse(additive_inverse(additive_identity multiply X)) <-> Y add Y
% Rule
% [703]
% additive_inverse(additive_inverse(additive_identity multiply additive_identity))
% <-> X add X collapsed.
% Current number of equations to process: 2814
% Current number of ordered equations: 1
% Current number of rules: 1019
% New rule produced :
% [1070]
% Y add Y <-> additive_inverse(additive_inverse(additive_identity multiply X))
% Rule
% [704]
% X add X <->
% additive_inverse(additive_inverse(additive_identity multiply additive_identity))
% collapsed.
% Current number of equations to process: 2814
% Current number of ordered equations: 0
% Current number of rules: 1019
% New rule produced :
% [1071]
% additive_inverse(additive_inverse(additive_identity multiply X)) <->
% additive_identity multiply Y
% Rule
% [705]
% additive_inverse(additive_inverse(additive_identity multiply additive_identity))
% <-> additive_identity multiply X collapsed.
% Current number of equations to process: 2813
% Current number of ordered equations: 1
% Current number of rules: 1019
% New rule produced :
% [1072]
% additive_identity multiply Y <->
% additive_inverse(additive_inverse(additive_identity multiply X))
% Rule
% [706]
% additive_identity multiply X <->
% additive_inverse(additive_inverse(additive_identity multiply additive_identity))
% collapsed.
% Current number of equations to process: 2813
% Current number of ordered equations: 0
% Current number of rules: 1019
% New rule produced : [1073] Y <-> additive_inverse(X add X) add Y
% Rule
% [168] additive_identity <-> additive_identity add additive_inverse(X add X)
% collapsed.
% Rule
% [634] X <-> additive_inverse(additive_identity add additive_identity) add X
% collapsed.
% Current number of equations to process: 2812
% Current number of ordered equations: 1
% Current number of rules: 1018
% New rule produced : [1074] additive_inverse(X add X) add Y <-> Y
% Rule
% [171] additive_identity add additive_inverse(X add X) <-> additive_identity
% collapsed.
% Rule
% [636] additive_inverse(additive_identity add additive_identity) add X <-> X
% collapsed.
% Current number of equations to process: 2812
% Current number of ordered equations: 0
% Current number of rules: 1017
% New rule produced :
% [1075] additive_identity <-> additive_inverse(X add X) multiply Y
% Rule
% [640]
% additive_identity <->
% additive_inverse(additive_identity add additive_identity) multiply X
% collapsed.
% Current number of equations to process: 2811
% Current number of ordered equations: 1
% Current number of rules: 1017
% New rule produced :
% [1076] additive_inverse(X add X) multiply Y <-> additive_identity
% Rule
% [642]
% additive_inverse(additive_identity add additive_identity) multiply X <->
% additive_identity collapsed.
% Current number of equations to process: 2811
% Current number of ordered equations: 0
% Current number of rules: 1017
% New rule produced :
% [1077]
% additive_identity add additive_identity <->
% additive_inverse(additive_identity) multiply X
% Current number of equations to process: 2820
% Current number of ordered equations: 1
% Current number of rules: 1018
% New rule produced :
% [1078]
% additive_inverse(additive_identity) multiply X <->
% additive_identity add additive_identity
% Current number of equations to process: 2820
% Current number of ordered equations: 0
% Current number of rules: 1019
% New rule produced :
% [1079] X add X <-> additive_inverse(additive_identity) multiply Y
% Rule
% [417]
% X add X <->
% additive_inverse(additive_identity) multiply additive_inverse(additive_identity)
% collapsed.
% Rule
% [1077]
% additive_identity add additive_identity <->
% additive_inverse(additive_identity) multiply X collapsed.
% Current number of equations to process: 2819
% Current number of ordered equations: 1
% Current number of rules: 1018
% New rule produced :
% [1080] additive_inverse(additive_identity) multiply Y <-> X add X
% Rule
% [418]
% additive_inverse(additive_identity) multiply additive_inverse(additive_identity)
% <-> X add X collapsed.
% Rule
% [1078]
% additive_inverse(additive_identity) multiply X <->
% additive_identity add additive_identity collapsed.
% Current number of equations to process: 2819
% Current number of ordered equations: 0
% Current number of rules: 1017
% New rule produced :
% [1081]
% additive_inverse(X) add X <-> additive_inverse(additive_identity) multiply Y
% Current number of equations to process: 2818
% Current number of ordered equations: 1
% Current number of rules: 1018
% New rule produced :
% [1082]
% additive_inverse(additive_identity) multiply Y <-> additive_inverse(X) add X
% Current number of equations to process: 2818
% Current number of ordered equations: 0
% Current number of rules: 1019
% New rule produced :
% [1083] additive_inverse(additive_inverse(X add X)) <-> Y add Y
% Rule
% [673]
% additive_inverse(additive_inverse(additive_identity add additive_identity))
% <-> X add X collapsed.
% Current number of equations to process: 2817
% Current number of ordered equations: 1
% Current number of rules: 1019
% New rule produced :
% [1084] Y add Y <-> additive_inverse(additive_inverse(X add X))
% Rule
% [674]
% X add X <->
% additive_inverse(additive_inverse(additive_identity add additive_identity))
% collapsed.
% Current number of equations to process: 2817
% Current number of ordered equations: 0
% Current number of rules: 1019
% New rule produced :
% [1085]
% additive_inverse(additive_inverse(X add X)) <-> additive_identity multiply Y
% Rule
% [675]
% additive_inverse(additive_inverse(additive_identity add additive_identity))
% <-> additive_identity multiply X collapsed.
% Current number of equations to process: 2816
% Current number of ordered equations: 1
% Current number of rules: 1019
% New rule produced :
% [1086]
% additive_identity multiply Y <-> additive_inverse(additive_inverse(X add X))
% Rule
% [676]
% additive_identity multiply X <->
% additive_inverse(additive_inverse(additive_identity add additive_identity))
% collapsed.
% Current number of equations to process: 2816
% Current number of ordered equations: 0
% Current number of rules: 1019
% New rule produced :
% [1087] Y <-> (additive_inverse(additive_identity) multiply X) add Y
% Current number of equations to process: 2815
% Current number of ordered equations: 1
% Current number of rules: 1020
% New rule produced :
% [1088] (additive_inverse(additive_identity) multiply X) add Y <-> Y
% Current number of equations to process: 2815
% Current number of ordered equations: 0
% Current number of rules: 1021
% New rule produced :
% [1089]
% additive_inverse(additive_inverse(additive_identity)) <->
% additive_inverse(additive_identity) multiply X
% Current number of equations to process: 2834
% Current number of ordered equations: 1
% Current number of rules: 1022
% New rule produced :
% [1090]
% additive_inverse(additive_identity) multiply X <->
% additive_inverse(additive_inverse(additive_identity))
% Current number of equations to process: 2834
% Current number of ordered equations: 0
% Current number of rules: 1023
% New rule produced :
% [1091] X <-> additive_inverse(additive_inverse(additive_identity) add X)
% Current number of equations to process: 2833
% Current number of ordered equations: 1
% Current number of rules: 1024
% New rule produced :
% [1092] additive_inverse(additive_inverse(additive_identity) add X) <-> X
% Current number of equations to process: 2833
% Current number of ordered equations: 0
% Current number of rules: 1025
% New rule produced :
% [1093]
% additive_inverse(additive_identity add additive_identity) <->
% additive_inverse(additive_identity) multiply X
% Current number of equations to process: 2832
% Current number of ordered equations: 1
% Current number of rules: 1026
% New rule produced :
% [1094]
% additive_inverse(additive_identity) multiply X <->
% additive_inverse(additive_identity add additive_identity)
% Current number of equations to process: 2832
% Current number of ordered equations: 0
% Current number of rules: 1027
% New rule produced :
% [1095]
% additive_inverse(additive_identity multiply additive_identity) <->
% additive_inverse(additive_identity) multiply X
% Current number of equations to process: 2831
% Current number of ordered equations: 1
% Current number of rules: 1028
% New rule produced :
% [1096]
% additive_inverse(additive_identity) multiply X <->
% additive_inverse(additive_identity multiply additive_identity)
% Current number of equations to process: 2831
% Current number of ordered equations: 0
% Current number of rules: 1029
% New rule produced :
% [1097]
% additive_inverse(additive_identity multiply X) <->
% additive_inverse(additive_identity) multiply Y
% Rule
% [552]
% additive_inverse(additive_identity multiply X) <->
% additive_inverse(additive_identity) multiply X collapsed.
% Rule
% [1095]
% additive_inverse(additive_identity multiply additive_identity) <->
% additive_inverse(additive_identity) multiply X collapsed.
% Current number of equations to process: 2830
% Current number of ordered equations: 1
% Current number of rules: 1028
% New rule produced :
% [1098]
% additive_inverse(additive_identity) multiply Y <->
% additive_inverse(additive_identity multiply X)
% Rule
% [553]
% additive_inverse(additive_identity) multiply X <->
% additive_inverse(additive_identity multiply X) collapsed.
% Rule
% [1096]
% additive_inverse(additive_identity) multiply X <->
% additive_inverse(additive_identity multiply additive_identity) collapsed.
% Current number of equations to process: 2830
% Current number of ordered equations: 0
% Current number of rules: 1027
% New rule produced :
% [1099]
% additive_inverse(X add X) <-> additive_inverse(additive_identity) multiply Y
% Rule
% [1093]
% additive_inverse(additive_identity add additive_identity) <->
% additive_inverse(additive_identity) multiply X collapsed.
% Current number of equations to process: 2829
% Current number of ordered equations: 1
% Current number of rules: 1027
% New rule produced :
% [1100]
% additive_inverse(additive_identity) multiply Y <-> additive_inverse(X add X)
% Rule
% [1094]
% additive_inverse(additive_identity) multiply X <->
% additive_inverse(additive_identity add additive_identity) collapsed.
% Current number of equations to process: 2829
% Current number of ordered equations: 0
% Current number of rules: 1027
% New rule produced :
% [1101]
% additive_inverse(additive_inverse(additive_identity) multiply X) <-> Y add Y
% Current number of equations to process: 2828
% Current number of ordered equations: 1
% Current number of rules: 1028
% New rule produced :
% [1102]
% Y add Y <-> additive_inverse(additive_inverse(additive_identity) multiply X)
% Current number of equations to process: 2828
% Current number of ordered equations: 0
% Current number of rules: 1029
% New rule produced :
% [1103]
% additive_inverse(additive_inverse(additive_identity) multiply X) <->
% additive_identity multiply Y
% Current number of equations to process: 2827
% Current number of ordered equations: 1
% Current number of rules: 1030
% New rule produced :
% [1104]
% additive_identity multiply Y <->
% additive_inverse(additive_inverse(additive_identity) multiply X)
% Current number of equations to process: 2827
% Current number of ordered equations: 0
% Current number of rules: 1031
% New rule produced :
% [1105]
% X <-> additive_inverse((additive_identity multiply additive_identity) add X)
% Current number of equations to process: 2826
% Current number of ordered equations: 1
% Current number of rules: 1032
% New rule produced :
% [1106]
% additive_inverse((additive_identity multiply additive_identity) add X) <-> X
% Current number of equations to process: 2826
% Current number of ordered equations: 0
% Current number of rules: 1033
% New rule produced : [1107] Y <-> additive_inverse(X add X add Y)
% Rule
% [507] additive_identity <-> additive_inverse(additive_identity add X add X)
% collapsed.
% Rule
% [633] X <-> additive_inverse(additive_identity add additive_identity add X)
% collapsed.
% Current number of equations to process: 2825
% Current number of ordered equations: 1
% Current number of rules: 1032
% New rule produced : [1108] additive_inverse(X add X add Y) <-> Y
% Rule
% [508] additive_inverse(additive_identity add X add X) <-> additive_identity
% collapsed.
% Rule
% [635] additive_inverse(additive_identity add additive_identity add X) <-> X
% collapsed.
% Current number of equations to process: 2825
% Current number of ordered equations: 0
% Current number of rules: 1031
% New rule produced :
% [1109] Y <-> additive_inverse((additive_identity multiply X) add Y)
% Rule
% [639]
% additive_identity <->
% additive_inverse(additive_identity add (additive_identity multiply X))
% collapsed.
% Rule
% [1105]
% X <-> additive_inverse((additive_identity multiply additive_identity) add X)
% collapsed.
% Current number of equations to process: 2824
% Current number of ordered equations: 1
% Current number of rules: 1030
% New rule produced :
% [1110] additive_inverse((additive_identity multiply X) add Y) <-> Y
% Rule
% [641]
% additive_inverse(additive_identity add (additive_identity multiply X)) <->
% additive_identity collapsed.
% Rule
% [1106]
% additive_inverse((additive_identity multiply additive_identity) add X) <-> X
% collapsed.
% Current number of equations to process: 2824
% Current number of ordered equations: 0
% Current number of rules: 1029
% New rule produced :
% [1111]
% X <->
% additive_inverse(additive_inverse(additive_inverse(additive_identity add X)))
% Current number of equations to process: 2854
% Current number of ordered equations: 3
% Current number of rules: 1030
% New rule produced :
% [1112]
% X <->
% additive_inverse(additive_inverse(additive_inverse(additive_identity)) add X)
% Current number of equations to process: 2854
% Current number of ordered equations: 2
% Current number of rules: 1031
% New rule produced :
% [1113]
% additive_inverse(additive_inverse(additive_inverse(additive_identity add X)))
% <-> X
% Current number of equations to process: 2854
% Current number of ordered equations: 1
% Current number of rules: 1032
% New rule produced :
% [1114]
% additive_inverse(additive_inverse(additive_inverse(additive_identity)) add X)
% <-> X
% Current number of equations to process: 2854
% Current number of ordered equations: 0
% Current number of rules: 1033
% New rule produced :
% [1115]
% additive_inverse(additive_inverse(additive_identity)) <->
% additive_identity add X add X
% Current number of equations to process: 2853
% Current number of ordered equations: 1
% Current number of rules: 1034
% New rule produced :
% [1116]
% additive_identity add X add X <->
% additive_inverse(additive_inverse(additive_identity))
% Current number of equations to process: 2853
% Current number of ordered equations: 0
% Current number of rules: 1035
% New rule produced :
% [1117] additive_inverse(additive_inverse(X) add Y) <-> X add Y
% Rule
% [509]
% additive_inverse(additive_inverse(additive_identity) add X) <->
% additive_identity add X collapsed.
% Current number of equations to process: 2852
% Current number of ordered equations: 1
% Current number of rules: 1035
% New rule produced :
% [1118] X add Y <-> additive_inverse(additive_inverse(X) add Y)
% Rule
% [510]
% additive_identity add X <->
% additive_inverse(additive_inverse(additive_identity) add X) collapsed.
% Current number of equations to process: 2852
% Current number of ordered equations: 0
% Current number of rules: 1035
% New rule produced :
% [1119] c <-> additive_inverse(a multiply additive_inverse(b))
% Current number of equations to process: 2888
% Current number of ordered equations: 3
% Current number of rules: 1036
% New rule produced :
% [1120] c <-> additive_inverse(b multiply additive_inverse(a))
% Current number of equations to process: 2888
% Current number of ordered equations: 2
% Current number of rules: 1037
% New rule produced :
% [1121] additive_inverse(a multiply additive_inverse(b)) <-> c
% Current number of equations to process: 2888
% Current number of ordered equations: 1
% Current number of rules: 1038
% New rule produced :
% [1122] additive_inverse(b multiply additive_inverse(a)) <-> c
% Current number of equations to process: 2888
% Current number of ordered equations: 0
% Current number of rules: 1039
% New rule produced :
% [1123]
% X <-> additive_inverse(additive_inverse(additive_inverse(X multiply X)))
% Current number of equations to process: 2887
% Current number of ordered equations: 1
% Current number of rules: 1040
% New rule produced :
% [1124]
% additive_inverse(additive_inverse(additive_inverse(X multiply X))) <-> X
% Current number of equations to process: 2887
% Current number of ordered equations: 0
% Current number of rules: 1041
% New rule produced :
% [1125] c <-> additive_inverse((b add additive_identity) multiply a)
% Current number of equations to process: 2885
% Current number of ordered equations: 3
% Current number of rules: 1042
% New rule produced :
% [1126] c <-> additive_inverse((a add additive_identity) multiply b)
% Current number of equations to process: 2885
% Current number of ordered equations: 2
% Current number of rules: 1043
% New rule produced :
% [1127] additive_inverse((b add additive_identity) multiply a) <-> c
% Current number of equations to process: 2885
% Current number of ordered equations: 1
% Current number of rules: 1044
% New rule produced :
% [1128] additive_inverse((a add additive_identity) multiply b) <-> c
% Current number of equations to process: 2885
% Current number of ordered equations: 0
% Current number of rules: 1045
% New rule produced : [1129] c <-> additive_inverse(b multiply a multiply a)
% Current number of equations to process: 2883
% Current number of ordered equations: 3
% Current number of rules: 1046
% New rule produced : [1130] c <-> additive_inverse(b multiply b multiply a)
% Current number of equations to process: 2883
% Current number of ordered equations: 2
% Current number of rules: 1047
% New rule produced : [1131] additive_inverse(b multiply a multiply a) <-> c
% Current number of equations to process: 2883
% Current number of ordered equations: 1
% Current number of rules: 1048
% New rule produced : [1132] additive_inverse(b multiply b multiply a) <-> c
% Current number of equations to process: 2883
% Current number of ordered equations: 0
% Current number of rules: 1049
% New rule produced : [1133] c <-> additive_inverse(c multiply b multiply a)
% Current number of equations to process: 2882
% Current number of ordered equations: 1
% Current number of rules: 1050
% New rule produced : [1134] additive_inverse(c multiply b multiply a) <-> c
% Current number of equations to process: 2882
% Current number of ordered equations: 0
% Current number of rules: 1051
% New rule produced :
% [1135]
% additive_identity <->
% additive_inverse(additive_inverse(additive_identity) multiply X)
% Current number of equations to process: 2904
% Current number of ordered equations: 1
% Current number of rules: 1052
% New rule produced :
% [1136]
% additive_inverse(additive_inverse(additive_identity) multiply X) <->
% additive_identity
% Current number of equations to process: 2904
% Current number of ordered equations: 0
% Current number of rules: 1053
% New rule produced :
% [1137]
% c <-> additive_inverse(additive_inverse(additive_inverse(b multiply a)))
% Current number of equations to process: 2901
% Current number of ordered equations: 5
% Current number of rules: 1054
% New rule produced :
% [1138]
% c <-> additive_inverse(b multiply additive_inverse(additive_inverse(a)))
% Current number of equations to process: 2901
% Current number of ordered equations: 4
% Current number of rules: 1055
% New rule produced :
% [1139]
% c <-> additive_inverse(a multiply additive_inverse(additive_inverse(b)))
% Current number of equations to process: 2901
% Current number of ordered equations: 3
% Current number of rules: 1056
% New rule produced :
% [1140]
% additive_inverse(additive_inverse(additive_inverse(b multiply a))) <-> c
% Current number of equations to process: 2901
% Current number of ordered equations: 2
% Current number of rules: 1057
% New rule produced :
% [1141]
% additive_inverse(b multiply additive_inverse(additive_inverse(a))) <-> c
% Current number of equations to process: 2901
% Current number of ordered equations: 1
% Current number of rules: 1058
% New rule produced :
% [1142]
% additive_inverse(a multiply additive_inverse(additive_inverse(b))) <-> c
% Current number of equations to process: 2901
% Current number of ordered equations: 0
% Current number of rules: 1059
% New rule produced :
% [1143]
% additive_identity <->
% additive_inverse((additive_identity add additive_identity) multiply X)
% Current number of equations to process: 2900
% Current number of ordered equations: 1
% Current number of rules: 1060
% New rule produced :
% [1144]
% additive_inverse((additive_identity add additive_identity) multiply X) <->
% additive_identity
% Current number of equations to process: 2900
% Current number of ordered equations: 0
% Current number of rules: 1061
% New rule produced :
% [1145] additive_identity <-> additive_inverse((X add X) multiply Y)
% Rule
% [1143]
% additive_identity <->
% additive_inverse((additive_identity add additive_identity) multiply X)
% collapsed.
% Current number of equations to process: 2899
% Current number of ordered equations: 1
% Current number of rules: 1061
% New rule produced :
% [1146] additive_inverse((X add X) multiply Y) <-> additive_identity
% Rule
% [1144]
% additive_inverse((additive_identity add additive_identity) multiply X) <->
% additive_identity collapsed.
% Current number of equations to process: 2899
% Current number of ordered equations: 0
% Current number of rules: 1061
% New rule produced :
% [1147] c <-> additive_inverse(b multiply additive_inverse(c))
% Current number of equations to process: 2926
% Current number of ordered equations: 3
% Current number of rules: 1062
% New rule produced :
% [1148] c <-> additive_inverse(c multiply additive_inverse(b))
% Current number of equations to process: 2926
% Current number of ordered equations: 2
% Current number of rules: 1063
% New rule produced :
% [1149] additive_inverse(b multiply additive_inverse(c)) <-> c
% Current number of equations to process: 2926
% Current number of ordered equations: 1
% Current number of rules: 1064
% New rule produced :
% [1150] additive_inverse(c multiply additive_inverse(b)) <-> c
% Current number of equations to process: 2926
% Current number of ordered equations: 0
% Current number of rules: 1065
% New rule produced :
% [1151]
% additive_identity <->
% additive_inverse(additive_inverse(additive_inverse(additive_identity multiply X)))
% Current number of equations to process: 2924
% Current number of ordered equations: 3
% Current number of rules: 1066
% New rule produced :
% [1152]
% additive_identity <->
% additive_inverse(additive_inverse(additive_inverse(additive_identity)) multiply X)
% Current number of equations to process: 2924
% Current number of ordered equations: 2
% Current number of rules: 1067
% New rule produced :
% [1153]
% additive_inverse(additive_inverse(additive_inverse(additive_identity multiply X)))
% <-> additive_identity
% Current number of equations to process: 2924
% Current number of ordered equations: 1
% Current number of rules: 1068
% New rule produced :
% [1154]
% additive_inverse(additive_inverse(additive_inverse(additive_identity)) multiply X)
% <-> additive_identity
% Current number of equations to process: 2924
% Current number of ordered equations: 0
% Current number of rules: 1069
% New rule produced :
% [1155] c <-> additive_inverse((c add additive_identity) multiply b)
% Current number of equations to process: 2922
% Current number of ordered equations: 3
% Current number of rules: 1070
% New rule produced :
% [1156] c <-> additive_inverse((b add additive_identity) multiply c)
% Current number of equations to process: 2922
% Current number of ordered equations: 2
% Current number of rules: 1071
% New rule produced :
% [1157] additive_inverse((c add additive_identity) multiply b) <-> c
% Current number of equations to process: 2922
% Current number of ordered equations: 1
% Current number of rules: 1072
% New rule produced :
% [1158] additive_inverse((b add additive_identity) multiply c) <-> c
% Current number of equations to process: 2922
% Current number of ordered equations: 0
% Current number of rules: 1073
% New rule produced : [1159] c <-> additive_inverse(c multiply b multiply b)
% Current number of equations to process: 2920
% Current number of ordered equations: 3
% Current number of rules: 1074
% New rule produced : [1160] c <-> additive_inverse(c multiply c multiply b)
% Current number of equations to process: 2920
% Current number of ordered equations: 2
% Current number of rules: 1075
% New rule produced : [1161] additive_inverse(c multiply b multiply b) <-> c
% Current number of equations to process: 2920
% Current number of ordered equations: 1
% Current number of rules: 1076
% New rule produced : [1162] additive_inverse(c multiply c multiply b) <-> c
% Current number of equations to process: 2920
% Current number of ordered equations: 0
% Current number of rules: 1077
% New rule produced :
% [1163] c <-> additive_inverse(c multiply additive_inverse(a))
% Current number of equations to process: 2954
% Current number of ordered equations: 3
% Current number of rules: 1078
% New rule produced :
% [1164] c <-> additive_inverse(a multiply additive_inverse(c))
% Current number of equations to process: 2954
% Current number of ordered equations: 2
% Current number of rules: 1079
% New rule produced :
% [1165] additive_inverse(c multiply additive_inverse(a)) <-> c
% Current number of equations to process: 2954
% Current number of ordered equations: 1
% Current number of rules: 1080
% New rule produced :
% [1166] additive_inverse(a multiply additive_inverse(c)) <-> c
% Current number of equations to process: 2954
% Current number of ordered equations: 0
% Current number of rules: 1081
% New rule produced :
% [1167]
% c <-> additive_inverse(additive_inverse(additive_inverse(c multiply b)))
% Current number of equations to process: 2951
% Current number of ordered equations: 5
% Current number of rules: 1082
% New rule produced :
% [1168]
% c <-> additive_inverse(b multiply additive_inverse(additive_inverse(c)))
% Current number of equations to process: 2951
% Current number of ordered equations: 4
% Current number of rules: 1083
% New rule produced :
% [1169]
% c <-> additive_inverse(c multiply additive_inverse(additive_inverse(b)))
% Current number of equations to process: 2951
% Current number of ordered equations: 3
% Current number of rules: 1084
% New rule produced :
% [1170]
% additive_inverse(additive_inverse(additive_inverse(c multiply b))) <-> c
% Current number of equations to process: 2951
% Current number of ordered equations: 2
% Current number of rules: 1085
% New rule produced :
% [1171]
% additive_inverse(b multiply additive_inverse(additive_inverse(c))) <-> c
% Current number of equations to process: 2951
% Current number of ordered equations: 1
% Current number of rules: 1086
% New rule produced :
% [1172]
% additive_inverse(c multiply additive_inverse(additive_inverse(b))) <-> c
% Current number of equations to process: 2951
% Current number of ordered equations: 0
% Current number of rules: 1087
% New rule produced :
% [1173] c <-> additive_inverse((c add additive_identity) multiply a)
% Current number of equations to process: 2949
% Current number of ordered equations: 3
% Current number of rules: 1088
% New rule produced :
% [1174] c <-> additive_inverse((a add additive_identity) multiply c)
% Current number of equations to process: 2949
% Current number of ordered equations: 2
% Current number of rules: 1089
% New rule produced :
% [1175] additive_inverse((c add additive_identity) multiply a) <-> c
% Current number of equations to process: 2949
% Current number of ordered equations: 1
% Current number of rules: 1090
% New rule produced :
% [1176] additive_inverse((a add additive_identity) multiply c) <-> c
% Current number of equations to process: 2949
% Current number of ordered equations: 0
% Current number of rules: 1091
% New rule produced : [1177] c <-> additive_inverse(c multiply a multiply a)
% Current number of equations to process: 2947
% Current number of ordered equations: 3
% Current number of rules: 1092
% New rule produced : [1178] c <-> additive_inverse(c multiply c multiply a)
% Current number of equations to process: 2947
% Current number of ordered equations: 2
% Current number of rules: 1093
% New rule produced : [1179] additive_inverse(c multiply a multiply a) <-> c
% Current number of equations to process: 2947
% Current number of ordered equations: 1
% Current number of rules: 1094
% New rule produced : [1180] additive_inverse(c multiply c multiply a) <-> c
% Current number of equations to process: 2947
% Current number of ordered equations: 0
% Current number of rules: 1095
% New rule produced :
% [1181]
% c <-> additive_inverse(additive_inverse(additive_inverse(c multiply a)))
% Current number of equations to process: 2977
% Current number of ordered equations: 5
% Current number of rules: 1096
% New rule produced :
% [1182]
% c <-> additive_inverse(a multiply additive_inverse(additive_inverse(c)))
% Current number of equations to process: 2977
% Current number of ordered equations: 4
% Current number of rules: 1097
% New rule produced :
% [1183]
% c <-> additive_inverse(c multiply additive_inverse(additive_inverse(a)))
% Current number of equations to process: 2977
% Current number of ordered equations: 3
% Current number of rules: 1098
% New rule produced :
% [1184]
% additive_inverse(additive_inverse(additive_inverse(c multiply a))) <-> c
% Current number of equations to process: 2977
% Current number of ordered equations: 2
% Current number of rules: 1099
% New rule produced :
% [1185]
% additive_inverse(a multiply additive_inverse(additive_inverse(c))) <-> c
% Current number of equations to process: 2977
% Current number of ordered equations: 1
% Current number of rules: 1100
% New rule produced :
% [1186]
% additive_inverse(c multiply additive_inverse(additive_inverse(a))) <-> c
% Current number of equations to process: 2977
% Current number of ordered equations: 0
% Current number of rules: 1101
% New rule produced :
% [1187]
% additive_identity <->
% additive_inverse(additive_inverse(additive_inverse(X add X)))
% Current number of equations to process: 3063
% Current number of ordered equations: 1
% Current number of rules: 1102
% New rule produced :
% [1188]
% additive_inverse(additive_inverse(additive_inverse(X add X))) <->
% additive_identity
% Current number of equations to process: 3063
% Current number of ordered equations: 0
% Current number of rules: 1103
% New rule produced : [1189] Y add Y <-> additive_identity add X add X
% Current number of equations to process: 3062
% Current number of ordered equations: 1
% Current number of rules: 1104
% New rule produced : [1190] additive_identity add X add X <-> Y add Y
% Current number of equations to process: 3062
% Current number of ordered equations: 0
% Current number of rules: 1105
% New rule produced : [1191] Z add Z <-> (X add X) multiply Y
% Current number of equations to process: 3078
% Current number of ordered equations: 1
% Current number of rules: 1106
% New rule produced : [1192] (X add X) multiply Y <-> Z add Z
% Current number of equations to process: 3078
% Current number of ordered equations: 0
% Current number of rules: 1107
% New rule produced :
% [1193] additive_identity multiply Y <-> additive_identity add X add X
% Current number of equations to process: 3283
% Current number of ordered equations: 1
% Current number of rules: 1108
% New rule produced :
% [1194] additive_identity add X add X <-> additive_identity multiply Y
% Current number of equations to process: 3283
% Current number of ordered equations: 0
% Current number of rules: 1109
% New rule produced :
% [1195]
% X add X <->
% additive_identity add (additive_identity multiply additive_identity)
% Current number of equations to process: 3280
% Current number of ordered equations: 1
% Current number of rules: 1110
% New rule produced :
% [1196]
% additive_identity add (additive_identity multiply additive_identity) <->
% X add X
% Current number of equations to process: 3280
% Current number of ordered equations: 0
% Current number of rules: 1111
% New rule produced :
% [1197] additive_identity multiply Z <-> (X add X) multiply Y
% Current number of equations to process: 3297
% Current number of ordered equations: 1
% Current number of rules: 1112
% New rule produced :
% [1198] (X add X) multiply Y <-> additive_identity multiply Z
% Current number of equations to process: 3297
% Current number of ordered equations: 0
% Current number of rules: 1113
% New rule produced :
% [1199] X multiply X <-> additive_identity add additive_identity add X
% Current number of equations to process: 3588
% Current number of ordered equations: 1
% Current number of rules: 1114
% New rule produced :
% [1200] additive_identity add additive_identity add X <-> X multiply X
% Current number of equations to process: 3588
% Current number of ordered equations: 0
% Current number of rules: 1115
% New rule produced :
% [1201] X multiply X <-> (additive_identity multiply additive_identity) add X
% Current number of equations to process: 3587
% Current number of ordered equations: 1
% Current number of rules: 1116
% New rule produced :
% [1202] (additive_identity multiply additive_identity) add X <-> X multiply X
% Current number of equations to process: 3587
% Current number of ordered equations: 0
% Current number of rules: 1117
% New rule produced : [1203] Y multiply Y <-> X add X add Y
% Rule [1199] X multiply X <-> additive_identity add additive_identity add X
% collapsed.
% Current number of equations to process: 3586
% Current number of ordered equations: 1
% Current number of rules: 1117
% New rule produced : [1204] X add X add Y <-> Y multiply Y
% Rule [1200] additive_identity add additive_identity add X <-> X multiply X
% collapsed.
% Current number of equations to process: 3586
% Current number of ordered equations: 0
% Current number of rules: 1117
% New rule produced :
% [1205] Y multiply Y <-> (additive_identity multiply X) add Y
% Rule
% [1201] X multiply X <-> (additive_identity multiply additive_identity) add X
% collapsed.
% Current number of equations to process: 3585
% Current number of ordered equations: 1
% Current number of rules: 1117
% New rule produced :
% [1206] (additive_identity multiply X) add Y <-> Y multiply Y
% Rule
% [1202] (additive_identity multiply additive_identity) add X <-> X multiply X
% collapsed.
% Current number of equations to process: 3585
% Current number of ordered equations: 0
% Current number of rules: 1117
% New rule produced :
% [1207] additive_identity add additive_identity <-> (X multiply X) add X
% Current number of equations to process: 3584
% Current number of ordered equations: 1
% Current number of rules: 1118
% New rule produced :
% [1208] (X multiply X) add X <-> additive_identity add additive_identity
% Current number of equations to process: 3584
% Current number of ordered equations: 0
% Current number of rules: 1119
% New rule produced :
% [1209]
% additive_inverse(additive_inverse(additive_identity add X)) <-> X multiply X
% Current number of equations to process: 3968
% Current number of ordered equations: 3
% Current number of rules: 1120
% New rule produced :
% [1210]
% X multiply X <-> additive_inverse(additive_inverse(additive_identity add X))
% Current number of equations to process: 3968
% Current number of ordered equations: 2
% Current number of rules: 1121
% New rule produced :
% [1211]
% X multiply X <-> additive_inverse(additive_inverse(additive_identity)) add X
% Current number of equations to process: 3968
% Current number of ordered equations: 1
% Current number of rules: 1122
% New rule produced :
% [1212]
% additive_inverse(additive_inverse(additive_identity)) add X <-> X multiply X
% Current number of equations to process: 3968
% Current number of ordered equations: 0
% Current number of rules: 1123
% New rule produced :
% [1213] X <-> additive_identity add additive_identity add additive_inverse(X)
% Current number of equations to process: 3967
% Current number of ordered equations: 1
% Current number of rules: 1124
% New rule produced :
% [1214] additive_identity add additive_identity add additive_inverse(X) <-> X
% Current number of equations to process: 3967
% Current number of ordered equations: 0
% Current number of rules: 1125
% New rule produced :
% [1215]
% X <-> (additive_identity multiply additive_identity) add additive_inverse(X)
% Current number of equations to process: 3966
% Current number of ordered equations: 1
% Current number of rules: 1126
% New rule produced :
% [1216]
% (additive_identity multiply additive_identity) add additive_inverse(X) <-> X
% Current number of equations to process: 3966
% Current number of ordered equations: 0
% Current number of rules: 1127
% New rule produced : [1217] X <-> additive_inverse(X) add Y add Y
% Rule
% [489] additive_identity <-> additive_inverse(additive_identity) add X add X
% collapsed.
% Rule
% [1213] X <-> additive_identity add additive_identity add additive_inverse(X)
% collapsed.
% Current number of equations to process: 3965
% Current number of ordered equations: 1
% Current number of rules: 1126
% New rule produced : [1218] additive_inverse(X) add Y add Y <-> X
% Rule
% [490] additive_inverse(additive_identity) add X add X <-> additive_identity
% collapsed.
% Rule
% [1214] additive_identity add additive_identity add additive_inverse(X) <-> X
% collapsed.
% Current number of equations to process: 3965
% Current number of ordered equations: 0
% Current number of rules: 1125
% New rule produced :
% [1219] Y <-> (additive_identity multiply X) add additive_inverse(Y)
% Rule
% [767]
% additive_identity <->
% (additive_identity multiply X) add additive_inverse(additive_identity)
% collapsed.
% Rule
% [1215]
% X <-> (additive_identity multiply additive_identity) add additive_inverse(X)
% collapsed.
% Current number of equations to process: 3964
% Current number of ordered equations: 1
% Current number of rules: 1124
% New rule produced :
% [1220] (additive_identity multiply X) add additive_inverse(Y) <-> Y
% Rule
% [768]
% (additive_identity multiply X) add additive_inverse(additive_identity) <->
% additive_identity collapsed.
% Rule
% [1216]
% (additive_identity multiply additive_identity) add additive_inverse(X) <-> X
% collapsed.
% Current number of equations to process: 3964
% Current number of ordered equations: 0
% Current number of rules: 1123
% New rule produced :
% [1221]
% X <->
% additive_inverse(additive_inverse(additive_identity)) add additive_inverse(X)
% Current number of equations to process: 4099
% Current number of ordered equations: 1
% Current number of rules: 1124
% New rule produced :
% [1222]
% additive_inverse(additive_inverse(additive_identity)) add additive_inverse(X)
% <-> X
% Current number of equations to process: 4099
% Current number of ordered equations: 0
% Current number of rules: 1125
% New rule produced :
% [1223] X add Y <-> additive_inverse(X) add additive_inverse(Y)
% Rule
% [491]
% additive_identity add X <->
% additive_inverse(additive_identity) add additive_inverse(X) collapsed.
% Current number of equations to process: 4098
% Current number of ordered equations: 1
% Current number of rules: 1125
% New rule produced :
% [1224] additive_inverse(X) add additive_inverse(Y) <-> X add Y
% Rule
% [492]
% additive_inverse(additive_identity) add additive_inverse(X) <->
% additive_identity add X collapsed.
% Current number of equations to process: 4098
% Current number of ordered equations: 0
% Current number of rules: 1125
% New rule produced :
% [1225] c multiply a <-> c add additive_identity add additive_identity
% Current number of equations to process: 4097
% Current number of ordered equations: 1
% Current number of rules: 1126
% New rule produced :
% [1226] c add additive_identity add additive_identity <-> c multiply a
% Current number of equations to process: 4097
% Current number of ordered equations: 0
% Current number of rules: 1127
% New rule produced :
% [1227] additive_identity add (c multiply c) <-> c multiply a
% Current number of equations to process: 4095
% Current number of ordered equations: 3
% Current number of rules: 1128
% New rule produced :
% [1228] c add (additive_identity multiply additive_identity) <-> c multiply a
% Current number of equations to process: 4095
% Current number of ordered equations: 2
% Current number of rules: 1129
% New rule produced :
% [1229] c multiply a <-> additive_identity add (c multiply c)
% Current number of equations to process: 4095
% Current number of ordered equations: 1
% Current number of rules: 1130
% New rule produced :
% [1230] c multiply a <-> c add (additive_identity multiply additive_identity)
% Current number of equations to process: 4095
% Current number of ordered equations: 0
% Current number of rules: 1131
% New rule produced :
% [1231] additive_identity add (c multiply b) <-> c multiply a
% Current number of equations to process: 4094
% Current number of ordered equations: 1
% Current number of rules: 1132
% New rule produced :
% [1232] c multiply a <-> additive_identity add (c multiply b)
% Current number of equations to process: 4094
% Current number of ordered equations: 0
% Current number of rules: 1133
% New rule produced :
% [1233] additive_identity add (b multiply a) <-> c multiply a
% Current number of equations to process: 4093
% Current number of ordered equations: 1
% Current number of rules: 1134
% New rule produced :
% [1234] c multiply a <-> additive_identity add (b multiply a)
% Current number of equations to process: 4093
% Current number of ordered equations: 0
% Current number of rules: 1135
% New rule produced : [1235] c multiply a <-> c add X add X
% Rule [1225] c multiply a <-> c add additive_identity add additive_identity
% collapsed.
% Current number of equations to process: 4092
% Current number of ordered equations: 1
% Current number of rules: 1135
% New rule produced : [1236] c add X add X <-> c multiply a
% Rule [1226] c add additive_identity add additive_identity <-> c multiply a
% collapsed.
% Current number of equations to process: 4092
% Current number of ordered equations: 0
% Current number of rules: 1135
% New rule produced :
% [1237] c add (additive_identity multiply X) <-> c multiply a
% Rule
% [1228] c add (additive_identity multiply additive_identity) <-> c multiply a
% collapsed.
% Current number of equations to process: 4091
% Current number of ordered equations: 1
% Current number of rules: 1135
% New rule produced :
% [1238] c multiply a <-> c add (additive_identity multiply X)
% Rule
% [1230] c multiply a <-> c add (additive_identity multiply additive_identity)
% collapsed.
% Current number of equations to process: 4091
% Current number of ordered equations: 0
% Current number of rules: 1135
% New rule produced :
% [1239] additive_identity add additive_identity <-> c add (c multiply a)
% Current number of equations to process: 4090
% Current number of ordered equations: 1
% Current number of rules: 1136
% New rule produced :
% [1240] c add (c multiply a) <-> additive_identity add additive_identity
% Current number of equations to process: 4090
% Current number of ordered equations: 0
% Current number of rules: 1137
% New rule produced :
% [1241]
% c add additive_inverse(additive_inverse(additive_identity)) <-> c multiply a
% Current number of equations to process: 4250
% Current number of ordered equations: 1
% Current number of rules: 1138
% New rule produced :
% [1242]
% c multiply a <-> c add additive_inverse(additive_inverse(additive_identity))
% Current number of equations to process: 4250
% Current number of ordered equations: 0
% Current number of rules: 1139
% New rule produced :
% [1243] c multiply b <-> c add additive_identity add additive_identity
% Current number of equations to process: 4249
% Current number of ordered equations: 1
% Current number of rules: 1140
% New rule produced :
% [1244] c add additive_identity add additive_identity <-> c multiply b
% Current number of equations to process: 4249
% Current number of ordered equations: 0
% Current number of rules: 1141
% New rule produced :
% [1245] additive_identity add (c multiply c) <-> c multiply b
% Current number of equations to process: 4247
% Current number of ordered equations: 3
% Current number of rules: 1142
% New rule produced :
% [1246] c add (additive_identity multiply additive_identity) <-> c multiply b
% Current number of equations to process: 4247
% Current number of ordered equations: 2
% Current number of rules: 1143
% New rule produced :
% [1247] c multiply b <-> additive_identity add (c multiply c)
% Current number of equations to process: 4247
% Current number of ordered equations: 1
% Current number of rules: 1144
% New rule produced :
% [1248] c multiply b <-> c add (additive_identity multiply additive_identity)
% Current number of equations to process: 4247
% Current number of ordered equations: 0
% Current number of rules: 1145
% New rule produced :
% [1249] additive_identity add (c multiply a) <-> c multiply b
% Current number of equations to process: 4246
% Current number of ordered equations: 1
% Current number of rules: 1146
% New rule produced :
% [1250] c multiply b <-> additive_identity add (c multiply a)
% Current number of equations to process: 4246
% Current number of ordered equations: 0
% Current number of rules: 1147
% New rule produced :
% [1251] additive_identity add (b multiply a) <-> c multiply b
% Current number of equations to process: 4245
% Current number of ordered equations: 1
% Current number of rules: 1148
% New rule produced :
% [1252] c multiply b <-> additive_identity add (b multiply a)
% Current number of equations to process: 4245
% Current number of ordered equations: 0
% Current number of rules: 1149
% New rule produced : [1253] c multiply b <-> c add X add X
% Rule [1243] c multiply b <-> c add additive_identity add additive_identity
% collapsed.
% Current number of equations to process: 4244
% Current number of ordered equations: 1
% Current number of rules: 1149
% New rule produced : [1254] c add X add X <-> c multiply b
% Rule [1244] c add additive_identity add additive_identity <-> c multiply b
% collapsed.
% Current number of equations to process: 4244
% Current number of ordered equations: 0
% Current number of rules: 1149
% New rule produced :
% [1255] c add (additive_identity multiply X) <-> c multiply b
% Rule
% [1246] c add (additive_identity multiply additive_identity) <-> c multiply b
% collapsed.
% Current number of equations to process: 4243
% Current number of ordered equations: 1
% Current number of rules: 1149
% New rule produced :
% [1256] c multiply b <-> c add (additive_identity multiply X)
% Rule
% [1248] c multiply b <-> c add (additive_identity multiply additive_identity)
% collapsed.
% Current number of equations to process: 4243
% Current number of ordered equations: 0
% Current number of rules: 1149
% New rule produced :
% [1257] additive_identity add additive_identity <-> c add (c multiply b)
% Current number of equations to process: 4242
% Current number of ordered equations: 1
% Current number of rules: 1150
% New rule produced :
% [1258] c add (c multiply b) <-> additive_identity add additive_identity
% Current number of equations to process: 4242
% Current number of ordered equations: 0
% Current number of rules: 1151
% New rule produced :
% [1259]
% c add additive_inverse(additive_inverse(additive_identity)) <-> c multiply b
% Current number of equations to process: 4401
% Current number of ordered equations: 1
% Current number of rules: 1152
% New rule produced :
% [1260]
% c multiply b <-> c add additive_inverse(additive_inverse(additive_identity))
% Current number of equations to process: 4401
% Current number of ordered equations: 0
% Current number of rules: 1153
% New rule produced :
% [1261] b multiply a <-> c add additive_identity add additive_identity
% Current number of equations to process: 4400
% Current number of ordered equations: 1
% Current number of rules: 1154
% New rule produced :
% [1262] c add additive_identity add additive_identity <-> b multiply a
% Current number of equations to process: 4400
% Current number of ordered equations: 0
% Current number of rules: 1155
% New rule produced :
% [1263] additive_identity add (c multiply c) <-> b multiply a
% Current number of equations to process: 4398
% Current number of ordered equations: 3
% Current number of rules: 1156
% New rule produced :
% [1264] c add (additive_identity multiply additive_identity) <-> b multiply a
% Current number of equations to process: 4398
% Current number of ordered equations: 2
% Current number of rules: 1157
% New rule produced :
% [1265] b multiply a <-> additive_identity add (c multiply c)
% Current number of equations to process: 4398
% Current number of ordered equations: 1
% Current number of rules: 1158
% New rule produced :
% [1266] b multiply a <-> c add (additive_identity multiply additive_identity)
% Current number of equations to process: 4398
% Current number of ordered equations: 0
% Current number of rules: 1159
% New rule produced :
% [1267] additive_identity add (c multiply a) <-> b multiply a
% Current number of equations to process: 4397
% Current number of ordered equations: 1
% Current number of rules: 1160
% New rule produced :
% [1268] b multiply a <-> additive_identity add (c multiply a)
% Current number of equations to process: 4397
% Current number of ordered equations: 0
% Current number of rules: 1161
% New rule produced :
% [1269] additive_identity add (c multiply b) <-> b multiply a
% Current number of equations to process: 4396
% Current number of ordered equations: 1
% Current number of rules: 1162
% New rule produced :
% [1270] b multiply a <-> additive_identity add (c multiply b)
% Current number of equations to process: 4396
% Current number of ordered equations: 0
% Current number of rules: 1163
% New rule produced : [1271] b multiply a <-> c add X add X
% Rule [1261] b multiply a <-> c add additive_identity add additive_identity
% collapsed.
% Current number of equations to process: 4395
% Current number of ordered equations: 1
% Current number of rules: 1163
% New rule produced : [1272] c add X add X <-> b multiply a
% Rule [1262] c add additive_identity add additive_identity <-> b multiply a
% collapsed.
% Current number of equations to process: 4395
% Current number of ordered equations: 0
% Current number of rules: 1163
% New rule produced :
% [1273] c add (additive_identity multiply X) <-> b multiply a
% Rule
% [1264] c add (additive_identity multiply additive_identity) <-> b multiply a
% collapsed.
% Current number of equations to process: 4394
% Current number of ordered equations: 1
% Current number of rules: 1163
% New rule produced :
% [1274] b multiply a <-> c add (additive_identity multiply X)
% Rule
% [1266] b multiply a <-> c add (additive_identity multiply additive_identity)
% collapsed.
% Current number of equations to process: 4394
% Current number of ordered equations: 0
% Current number of rules: 1163
% New rule produced :
% [1275] additive_identity add additive_identity <-> c add (b multiply a)
% Current number of equations to process: 4393
% Current number of ordered equations: 1
% Current number of rules: 1164
% New rule produced :
% [1276] c add (b multiply a) <-> additive_identity add additive_identity
% Current number of equations to process: 4393
% Current number of ordered equations: 0
% Current number of rules: 1165
% New rule produced :
% [1277]
% c add additive_inverse(additive_inverse(additive_identity)) <-> b multiply a
% Current number of equations to process: 4512
% Current number of ordered equations: 1
% Current number of rules: 1166
% New rule produced :
% [1278]
% b multiply a <-> c add additive_inverse(additive_inverse(additive_identity))
% Current number of equations to process: 4512
% Current number of ordered equations: 0
% Current number of rules: 1167
% New rule produced :
% [1279]
% X <->
% additive_inverse(additive_inverse(additive_inverse(additive_identity) add X))
% Current number of equations to process: 4682
% Current number of ordered equations: 3
% Current number of rules: 1168
% New rule produced :
% [1280]
% X <->
% additive_inverse(additive_inverse(additive_inverse(additive_identity))) add X
% Current number of equations to process: 4682
% Current number of ordered equations: 2
% Current number of rules: 1169
% New rule produced :
% [1281]
% additive_inverse(additive_inverse(additive_inverse(additive_identity) add X))
% <-> X
% Current number of equations to process: 4682
% Current number of ordered equations: 1
% Current number of rules: 1170
% New rule produced :
% [1282]
% additive_inverse(additive_inverse(additive_inverse(additive_identity))) add X
% <-> X
% Current number of equations to process: 4682
% Current number of ordered equations: 0
% Current number of rules: 1171
% New rule produced :
% [1283] c multiply c <-> (c add additive_identity) multiply a
% Current number of equations to process: 4681
% Current number of ordered equations: 1
% Current number of rules: 1172
% New rule produced :
% [1284] (c add additive_identity) multiply a <-> c multiply c
% Current number of equations to process: 4681
% Current number of ordered equations: 0
% Current number of rules: 1173
% New rule produced :
% [1285] c multiply c <-> (c add additive_identity) multiply b
% Current number of equations to process: 4680
% Current number of ordered equations: 1
% Current number of rules: 1174
% New rule produced :
% [1286] (c add additive_identity) multiply b <-> c multiply c
% Current number of equations to process: 4680
% Current number of ordered equations: 0
% Current number of rules: 1175
% New rule produced :
% [1287] c multiply a <-> (a add additive_identity) multiply b
% Current number of equations to process: 4678
% Current number of ordered equations: 3
% Current number of rules: 1176
% New rule produced :
% [1288] c multiply b <-> (b add additive_identity) multiply a
% Current number of equations to process: 4678
% Current number of ordered equations: 2
% Current number of rules: 1177
% New rule produced :
% [1289] (a add additive_identity) multiply b <-> c multiply a
% Current number of equations to process: 4678
% Current number of ordered equations: 1
% Current number of rules: 1178
% New rule produced :
% [1290] (b add additive_identity) multiply a <-> c multiply b
% Current number of equations to process: 4678
% Current number of ordered equations: 0
% Current number of rules: 1179
% New rule produced :
% [1291]
% additive_inverse(additive_inverse(X multiply X)) <-> additive_identity add X
% Current number of equations to process: 4987
% Current number of ordered equations: 1
% Current number of rules: 1180
% New rule produced :
% [1292]
% additive_identity add X <-> additive_inverse(additive_inverse(X multiply X))
% Current number of equations to process: 4987
% Current number of ordered equations: 0
% Current number of rules: 1181
% New rule produced :
% [1293]
% additive_identity add (additive_identity multiply X) <->
% additive_identity multiply Y
% Rule
% [302]
% additive_identity add (additive_identity multiply X multiply Y) <->
% additive_identity multiply Y collapsed.
% Rule
% [317]
% additive_identity add (additive_identity multiply X) <->
% (X add Y) multiply additive_identity collapsed.
% Current number of equations to process: 4986
% Current number of ordered equations: 1
% Current number of rules: 1180
% New rule produced :
% [1294]
% additive_identity multiply Y <->
% additive_identity add (additive_identity multiply X)
% Rule
% [303]
% additive_identity multiply Y <->
% additive_identity add (additive_identity multiply X multiply Y) collapsed.
% Rule
% [318]
% (X add Y) multiply additive_identity <->
% additive_identity add (additive_identity multiply X) collapsed.
% Current number of equations to process: 4986
% Current number of ordered equations: 0
% Current number of rules: 1179
% New rule produced :
% [1295]
% additive_identity multiply Y <->
% additive_inverse(additive_inverse(additive_identity)) multiply X
% Current number of equations to process: 3357
% Current number of ordered equations: 1
% Current number of rules: 1180
% New rule produced :
% [1296]
% additive_inverse(additive_inverse(additive_identity)) multiply X <->
% additive_identity multiply Y
% Current number of equations to process: 3357
% Current number of ordered equations: 0
% Current number of rules: 1181
% New rule produced :
% [1297] Y add Y <-> additive_identity add (additive_identity multiply X)
% Rule
% [1195]
% X add X <->
% additive_identity add (additive_identity multiply additive_identity)
% collapsed.
% Current number of equations to process: 3356
% Current number of ordered equations: 1
% Current number of rules: 1181
% New rule produced :
% [1298] additive_identity add (additive_identity multiply X) <-> Y add Y
% Rule
% [1196]
% additive_identity add (additive_identity multiply additive_identity) <->
% X add X collapsed.
% Current number of equations to process: 3356
% Current number of ordered equations: 0
% Current number of rules: 1181
% New rule produced :
% [1299]
% Y add Y <-> additive_inverse(additive_inverse(additive_identity)) multiply X
% Current number of equations to process: 3606
% Current number of ordered equations: 1
% Current number of rules: 1182
% New rule produced :
% [1300]
% additive_inverse(additive_inverse(additive_identity)) multiply X <-> Y add Y
% Current number of equations to process: 3606
% Current number of ordered equations: 0
% Current number of rules: 1183
% New rule produced :
% [1301] c multiply a <-> (c add additive_identity) multiply c
% Current number of equations to process: 3605
% Current number of ordered equations: 1
% Current number of rules: 1184
% New rule produced :
% [1302] (c add additive_identity) multiply c <-> c multiply a
% Current number of equations to process: 3605
% Current number of ordered equations: 0
% Current number of rules: 1185
% New rule produced : [1303] c multiply c multiply c <-> c multiply a
% Current number of equations to process: 3604
% Current number of ordered equations: 1
% Current number of rules: 1186
% New rule produced : [1304] c multiply a <-> c multiply c multiply c
% Current number of equations to process: 3604
% Current number of ordered equations: 0
% Current number of rules: 1187
% New rule produced : [1305] c multiply c multiply b <-> c multiply a
% Current number of equations to process: 3603
% Current number of ordered equations: 1
% Current number of rules: 1188
% New rule produced : [1306] c multiply a <-> c multiply c multiply b
% Current number of equations to process: 3603
% Current number of ordered equations: 0
% Current number of rules: 1189
% New rule produced : [1307] c multiply a multiply a <-> c multiply c
% Current number of equations to process: 3602
% Current number of ordered equations: 1
% Current number of rules: 1190
% New rule produced : [1308] c multiply c <-> c multiply a multiply a
% Current number of equations to process: 3602
% Current number of ordered equations: 0
% Current number of rules: 1191
% New rule produced :
% [1309] c multiply a <-> c multiply additive_inverse(additive_inverse(c))
% Current number of equations to process: 3702
% Current number of ordered equations: 1
% Current number of rules: 1192
% New rule produced :
% [1310] c multiply additive_inverse(additive_inverse(c)) <-> c multiply a
% Current number of equations to process: 3702
% Current number of ordered equations: 0
% Current number of rules: 1193
% New rule produced :
% [1311] c multiply b <-> (c add additive_identity) multiply c
% Current number of equations to process: 3701
% Current number of ordered equations: 1
% Current number of rules: 1194
% New rule produced :
% [1312] (c add additive_identity) multiply c <-> c multiply b
% Current number of equations to process: 3701
% Current number of ordered equations: 0
% Current number of rules: 1195
% New rule produced : [1313] c multiply c multiply c <-> c multiply b
% Current number of equations to process: 3700
% Current number of ordered equations: 1
% Current number of rules: 1196
% New rule produced : [1314] c multiply b <-> c multiply c multiply c
% Current number of equations to process: 3700
% Current number of ordered equations: 0
% Current number of rules: 1197
% New rule produced : [1315] c multiply c multiply a <-> c multiply b
% Current number of equations to process: 3699
% Current number of ordered equations: 1
% Current number of rules: 1198
% New rule produced : [1316] c multiply b <-> c multiply c multiply a
% Current number of equations to process: 3699
% Current number of ordered equations: 0
% Current number of rules: 1199
% New rule produced : [1317] c multiply b multiply b <-> c multiply c
% Current number of equations to process: 3698
% Current number of ordered equations: 1
% Current number of rules: 1200
% New rule produced : [1318] c multiply c <-> c multiply b multiply b
% Current number of equations to process: 3698
% Current number of ordered equations: 0
% Current number of rules: 1201
% New rule produced :
% [1319] c multiply b <-> c multiply additive_inverse(additive_inverse(c))
% Current number of equations to process: 3804
% Current number of ordered equations: 1
% Current number of rules: 1202
% New rule produced :
% [1320] c multiply additive_inverse(additive_inverse(c)) <-> c multiply b
% Current number of equations to process: 3804
% Current number of ordered equations: 0
% Current number of rules: 1203
% New rule produced :
% [1321] b multiply a <-> (c add additive_identity) multiply c
% Current number of equations to process: 3803
% Current number of ordered equations: 1
% Current number of rules: 1204
% New rule produced :
% [1322] (c add additive_identity) multiply c <-> b multiply a
% Current number of equations to process: 3803
% Current number of ordered equations: 0
% Current number of rules: 1205
% New rule produced : [1323] c multiply c multiply c <-> b multiply a
% Current number of equations to process: 3802
% Current number of ordered equations: 1
% Current number of rules: 1206
% New rule produced : [1324] b multiply a <-> c multiply c multiply c
% Current number of equations to process: 3802
% Current number of ordered equations: 0
% Current number of rules: 1207
% New rule produced : [1325] c multiply c multiply a <-> b multiply a
% Current number of equations to process: 3801
% Current number of ordered equations: 1
% Current number of rules: 1208
% New rule produced : [1326] b multiply a <-> c multiply c multiply a
% Current number of equations to process: 3801
% Current number of ordered equations: 0
% Current number of rules: 1209
% New rule produced : [1327] c multiply c multiply b <-> b multiply a
% Current number of equations to process: 3800
% Current number of ordered equations: 1
% Current number of rules: 1210
% New rule produced : [1328] b multiply a <-> c multiply c multiply b
% Current number of equations to process: 3800
% Current number of ordered equations: 0
% Current number of rules: 1211
% New rule produced : [1329] b multiply a multiply a <-> c multiply c
% Current number of equations to process: 3799
% Current number of ordered equations: 1
% Current number of rules: 1212
% New rule produced : [1330] c multiply c <-> b multiply a multiply a
% Current number of equations to process: 3799
% Current number of ordered equations: 0
% Current number of rules: 1213
% New rule produced : [1331] b multiply b multiply a <-> c multiply c
% Current number of equations to process: 3798
% Current number of ordered equations: 1
% Current number of rules: 1214
% New rule produced : [1332] c multiply c <-> b multiply b multiply a
% Current number of equations to process: 3798
% Current number of ordered equations: 0
% Current number of rules: 1215
% New rule produced :
% [1333] c multiply additive_inverse(additive_inverse(c)) <-> b multiply a
% Current number of equations to process: 3915
% Current number of ordered equations: 1
% Current number of rules: 1216
% New rule produced :
% [1334] b multiply a <-> c multiply additive_inverse(additive_inverse(c))
% Current number of equations to process: 3915
% Current number of ordered equations: 0
% Current number of rules: 1217
% New rule produced :
% [1335] c add additive_identity <-> (c add additive_identity) multiply a
% Current number of equations to process: 3913
% Current number of ordered equations: 3
% Current number of rules: 1218
% New rule produced :
% [1336] c add additive_identity <-> (a add additive_identity) multiply c
% Current number of equations to process: 3913
% Current number of ordered equations: 2
% Current number of rules: 1219
% New rule produced :
% [1337] (c add additive_identity) multiply a <-> c add additive_identity
% Current number of equations to process: 3913
% Current number of ordered equations: 1
% Current number of rules: 1220
% New rule produced :
% [1338] (a add additive_identity) multiply c <-> c add additive_identity
% Current number of equations to process: 3913
% Current number of ordered equations: 0
% Current number of rules: 1221
% New rule produced :
% [1339] c multiply c multiply a <-> c add additive_identity
% Current number of equations to process: 3912
% Current number of ordered equations: 1
% Current number of rules: 1222
% New rule produced :
% [1340] c add additive_identity <-> c multiply c multiply a
% Current number of equations to process: 3912
% Current number of ordered equations: 0
% Current number of rules: 1223
% New rule produced :
% [1341] c multiply a multiply a <-> c add additive_identity
% Current number of equations to process: 3911
% Current number of ordered equations: 1
% Current number of rules: 1224
% New rule produced :
% [1342] c add additive_identity <-> c multiply a multiply a
% Current number of equations to process: 3911
% Current number of ordered equations: 0
% Current number of rules: 1225
% New rule produced :
% [1343] c multiply b multiply a <-> c add additive_identity
% Current number of equations to process: 3910
% Current number of ordered equations: 1
% Current number of rules: 1226
% New rule produced :
% [1344] c add additive_identity <-> c multiply b multiply a
% Current number of equations to process: 3910
% Current number of ordered equations: 0
% Current number of rules: 1227
% New rule produced :
% [1345] c add additive_identity <-> b multiply a multiply a
% Current number of equations to process: 3909
% Current number of ordered equations: 1
% Current number of rules: 1228
% New rule produced :
% [1346] b multiply a multiply a <-> c add additive_identity
% Current number of equations to process: 3909
% Current number of ordered equations: 0
% Current number of rules: 1229
% New rule produced :
% [1347] c multiply a <-> (c add additive_identity) multiply b
% Current number of equations to process: 3908
% Current number of ordered equations: 1
% Current number of rules: 1230
% New rule produced :
% [1348] (c add additive_identity) multiply b <-> c multiply a
% Current number of equations to process: 3908
% Current number of ordered equations: 0
% Current number of rules: 1231
% New rule produced :
% [1349] b multiply a <-> (c add additive_identity) multiply b
% Current number of equations to process: 3907
% Current number of ordered equations: 1
% Current number of rules: 1232
% New rule produced :
% [1350] (c add additive_identity) multiply b <-> b multiply a
% Current number of equations to process: 3907
% Current number of ordered equations: 0
% Current number of rules: 1233
% New rule produced :
% [1351]
% additive_inverse(additive_inverse(c multiply a)) <-> c add additive_identity
% Current number of equations to process: 4056
% Current number of ordered equations: 5
% Current number of rules: 1234
% New rule produced :
% [1352]
% c add additive_identity <-> additive_inverse(additive_inverse(c multiply a))
% Current number of equations to process: 4056
% Current number of ordered equations: 4
% Current number of rules: 1235
% New rule produced :
% [1353]
% c add additive_identity <-> c multiply additive_inverse(additive_inverse(a))
% Current number of equations to process: 4056
% Current number of ordered equations: 3
% Current number of rules: 1236
% New rule produced :
% [1354]
% c add additive_identity <-> a multiply additive_inverse(additive_inverse(c))
% Current number of equations to process: 4056
% Current number of ordered equations: 2
% Current number of rules: 1237
% New rule produced :
% [1355]
% c multiply additive_inverse(additive_inverse(a)) <-> c add additive_identity
% Current number of equations to process: 4056
% Current number of ordered equations: 1
% Current number of rules: 1238
% New rule produced :
% [1356]
% a multiply additive_inverse(additive_inverse(c)) <-> c add additive_identity
% Current number of equations to process: 4056
% Current number of ordered equations: 0
% Current number of rules: 1239
% New rule produced :
% [1357] additive_identity add (c multiply a) <-> c multiply c
% Current number of equations to process: 4054
% Current number of ordered equations: 3
% Current number of rules: 1240
% New rule produced :
% [1358] c multiply c <-> additive_identity add (c multiply a)
% Current number of equations to process: 4054
% Current number of ordered equations: 2
% Current number of rules: 1241
% New rule produced :
% [1359] c multiply c <-> (a add additive_identity) multiply c
% Current number of equations to process: 4054
% Current number of ordered equations: 1
% Current number of rules: 1242
% New rule produced :
% [1360] (a add additive_identity) multiply c <-> c multiply c
% Current number of equations to process: 4054
% Current number of ordered equations: 0
% Current number of rules: 1243
% New rule produced :
% [1361] additive_inverse(additive_inverse(c multiply a)) <-> c multiply c
% Current number of equations to process: 4206
% Current number of ordered equations: 5
% Current number of rules: 1244
% New rule produced :
% [1362] c multiply c <-> additive_inverse(additive_inverse(c multiply a))
% Current number of equations to process: 4206
% Current number of ordered equations: 4
% Current number of rules: 1245
% New rule produced :
% [1363] c multiply c <-> c multiply additive_inverse(additive_inverse(a))
% Current number of equations to process: 4206
% Current number of ordered equations: 3
% Current number of rules: 1246
% New rule produced :
% [1364] c multiply c <-> a multiply additive_inverse(additive_inverse(c))
% Current number of equations to process: 4206
% Current number of ordered equations: 2
% Current number of rules: 1247
% New rule produced :
% [1365] c multiply additive_inverse(additive_inverse(a)) <-> c multiply c
% Current number of equations to process: 4206
% Current number of ordered equations: 1
% Current number of rules: 1248
% New rule produced :
% [1366] a multiply additive_inverse(additive_inverse(c)) <-> c multiply c
% Current number of equations to process: 4206
% Current number of ordered equations: 0
% Current number of rules: 1249
% New rule produced :
% [1367] c multiply b <-> (c add additive_identity) multiply a
% Current number of equations to process: 4204
% Current number of ordered equations: 3
% Current number of rules: 1250
% New rule produced :
% [1368] c multiply b <-> (a add additive_identity) multiply c
% Current number of equations to process: 4204
% Current number of ordered equations: 2
% Current number of rules: 1251
% New rule produced :
% [1369] (c add additive_identity) multiply a <-> c multiply b
% Current number of equations to process: 4204
% Current number of ordered equations: 1
% Current number of rules: 1252
% New rule produced :
% [1370] (a add additive_identity) multiply c <-> c multiply b
% Current number of equations to process: 4204
% Current number of ordered equations: 0
% Current number of rules: 1253
% New rule produced : [1371] c multiply a multiply a <-> c multiply b
% Current number of equations to process: 4203
% Current number of ordered equations: 1
% Current number of rules: 1254
% New rule produced : [1372] c multiply b <-> c multiply a multiply a
% Current number of equations to process: 4203
% Current number of ordered equations: 0
% Current number of rules: 1255
% New rule produced : [1373] b multiply a multiply a <-> c multiply b
% Current number of equations to process: 4202
% Current number of ordered equations: 1
% Current number of rules: 1256
% New rule produced : [1374] c multiply b <-> b multiply a multiply a
% Current number of equations to process: 4202
% Current number of ordered equations: 0
% Current number of rules: 1257
% New rule produced : [1375] c multiply b multiply b <-> c multiply a
% Current number of equations to process: 4201
% Current number of ordered equations: 1
% Current number of rules: 1258
% New rule produced : [1376] c multiply a <-> c multiply b multiply b
% Current number of equations to process: 4201
% Current number of ordered equations: 0
% Current number of rules: 1259
% New rule produced : [1377] c multiply b multiply b <-> b multiply a
% Current number of equations to process: 4200
% Current number of ordered equations: 1
% Current number of rules: 1260
% New rule produced : [1378] b multiply a <-> c multiply b multiply b
% Current number of equations to process: 4200
% Current number of ordered equations: 0
% Current number of rules: 1261
% New rule produced :
% [1379] c multiply b <-> c multiply additive_inverse(additive_inverse(a))
% Current number of equations to process: 4351
% Current number of ordered equations: 3
% Current number of rules: 1262
% New rule produced :
% [1380] c multiply b <-> a multiply additive_inverse(additive_inverse(c))
% Current number of equations to process: 4351
% Current number of ordered equations: 2
% Current number of rules: 1263
% New rule produced :
% [1381] c multiply additive_inverse(additive_inverse(a)) <-> c multiply b
% Current number of equations to process: 4351
% Current number of ordered equations: 1
% Current number of rules: 1264
% New rule produced :
% [1382] a multiply additive_inverse(additive_inverse(c)) <-> c multiply b
% Current number of equations to process: 4351
% Current number of ordered equations: 0
% Current number of rules: 1265
% New rule produced :
% [1383] b multiply a <-> (c add additive_identity) multiply a
% Current number of equations to process: 4349
% Current number of ordered equations: 3
% Current number of rules: 1266
% New rule produced :
% [1384] b multiply a <-> (a add additive_identity) multiply c
% Current number of equations to process: 4349
% Current number of ordered equations: 2
% Current number of rules: 1267
% New rule produced :
% [1385] (c add additive_identity) multiply a <-> b multiply a
% Current number of equations to process: 4349
% Current number of ordered equations: 1
% Current number of rules: 1268
% New rule produced :
% [1386] (a add additive_identity) multiply c <-> b multiply a
% Current number of equations to process: 4349
% Current number of ordered equations: 0
% Current number of rules: 1269
% New rule produced : [1387] c multiply a multiply a <-> b multiply a
% Current number of equations to process: 4348
% Current number of ordered equations: 1
% Current number of rules: 1270
% New rule produced : [1388] b multiply a <-> c multiply a multiply a
% Current number of equations to process: 4348
% Current number of ordered equations: 0
% Current number of rules: 1271
% New rule produced : [1389] b multiply b multiply a <-> c multiply a
% Current number of equations to process: 4347
% Current number of ordered equations: 1
% Current number of rules: 1272
% New rule produced : [1390] c multiply a <-> b multiply b multiply a
% Current number of equations to process: 4347
% Current number of ordered equations: 0
% Current number of rules: 1273
% New rule produced :
% [1391] c multiply additive_inverse(additive_inverse(a)) <-> b multiply a
% Current number of equations to process: 4496
% Current number of ordered equations: 3
% Current number of rules: 1274
% New rule produced :
% [1392] a multiply additive_inverse(additive_inverse(c)) <-> b multiply a
% Current number of equations to process: 4496
% Current number of ordered equations: 2
% Current number of rules: 1275
% New rule produced :
% [1393] b multiply a <-> c multiply additive_inverse(additive_inverse(a))
% Current number of equations to process: 4496
% Current number of ordered equations: 1
% Current number of rules: 1276
% New rule produced :
% [1394] b multiply a <-> a multiply additive_inverse(additive_inverse(c))
% Current number of equations to process: 4496
% Current number of ordered equations: 0
% Current number of rules: 1277
% New rule produced :
% [1395] c add additive_identity <-> (c add additive_identity) multiply b
% Current number of equations to process: 4494
% Current number of ordered equations: 3
% Current number of rules: 1278
% New rule produced :
% [1396] c add additive_identity <-> (b add additive_identity) multiply c
% Current number of equations to process: 4494
% Current number of ordered equations: 2
% Current number of rules: 1279
% New rule produced :
% [1397] (c add additive_identity) multiply b <-> c add additive_identity
% Current number of equations to process: 4494
% Current number of ordered equations: 1
% Current number of rules: 1280
% New rule produced :
% [1398] (b add additive_identity) multiply c <-> c add additive_identity
% Current number of equations to process: 4494
% Current number of ordered equations: 0
% Current number of rules: 1281
% New rule produced :
% [1399] c multiply c multiply b <-> c add additive_identity
% Current number of equations to process: 4493
% Current number of ordered equations: 1
% Current number of rules: 1282
% New rule produced :
% [1400] c add additive_identity <-> c multiply c multiply b
% Current number of equations to process: 4493
% Current number of ordered equations: 0
% Current number of rules: 1283
% New rule produced :
% [1401] c multiply b multiply b <-> c add additive_identity
% Current number of equations to process: 4492
% Current number of ordered equations: 1
% Current number of rules: 1284
% New rule produced :
% [1402] c add additive_identity <-> c multiply b multiply b
% Current number of equations to process: 4492
% Current number of ordered equations: 0
% Current number of rules: 1285
% New rule produced :
% [1403] c add additive_identity <-> b multiply b multiply a
% Current number of equations to process: 4491
% Current number of ordered equations: 1
% Current number of rules: 1286
% New rule produced :
% [1404] b multiply b multiply a <-> c add additive_identity
% Current number of equations to process: 4491
% Current number of ordered equations: 0
% Current number of rules: 1287
% New rule produced :
% [1405]
% additive_inverse(additive_inverse(c multiply b)) <-> c add additive_identity
% Current number of equations to process: 4648
% Current number of ordered equations: 5
% Current number of rules: 1288
% New rule produced :
% [1406]
% c add additive_identity <-> additive_inverse(additive_inverse(c multiply b))
% Current number of equations to process: 4648
% Current number of ordered equations: 4
% Current number of rules: 1289
% New rule produced :
% [1407]
% c add additive_identity <-> c multiply additive_inverse(additive_inverse(b))
% Current number of equations to process: 4648
% Current number of ordered equations: 3
% Current number of rules: 1290
% New rule produced :
% [1408]
% c add additive_identity <-> b multiply additive_inverse(additive_inverse(c))
% Current number of equations to process: 4648
% Current number of ordered equations: 2
% Current number of rules: 1291
% New rule produced :
% [1409]
% c multiply additive_inverse(additive_inverse(b)) <-> c add additive_identity
% Current number of equations to process: 4648
% Current number of ordered equations: 1
% Current number of rules: 1292
% New rule produced :
% [1410]
% b multiply additive_inverse(additive_inverse(c)) <-> c add additive_identity
% Current number of equations to process: 4648
% Current number of ordered equations: 0
% Current number of rules: 1293
% New rule produced :
% [1411] additive_identity add (c multiply b) <-> c multiply c
% Current number of equations to process: 4646
% Current number of ordered equations: 3
% Current number of rules: 1294
% New rule produced :
% [1412] c multiply c <-> additive_identity add (c multiply b)
% Current number of equations to process: 4646
% Current number of ordered equations: 2
% Current number of rules: 1295
% New rule produced :
% [1413] c multiply c <-> (b add additive_identity) multiply c
% Current number of equations to process: 4646
% Current number of ordered equations: 1
% Current number of rules: 1296
% New rule produced :
% [1414] (b add additive_identity) multiply c <-> c multiply c
% Current number of equations to process: 4646
% Current number of ordered equations: 0
% Current number of rules: 1297
% New rule produced :
% [1415] additive_inverse(additive_inverse(c multiply b)) <-> c multiply c
% Current number of equations to process: 4798
% Current number of ordered equations: 5
% Current number of rules: 1298
% New rule produced :
% [1416] c multiply c <-> additive_inverse(additive_inverse(c multiply b))
% Current number of equations to process: 4798
% Current number of ordered equations: 4
% Current number of rules: 1299
% New rule produced :
% [1417] c multiply c <-> c multiply additive_inverse(additive_inverse(b))
% Current number of equations to process: 4798
% Current number of ordered equations: 3
% Current number of rules: 1300
% New rule produced :
% [1418] c multiply c <-> b multiply additive_inverse(additive_inverse(c))
% Current number of equations to process: 4798
% Current number of ordered equations: 2
% Current number of rules: 1301
% New rule produced :
% [1419] c multiply additive_inverse(additive_inverse(b)) <-> c multiply c
% Current number of equations to process: 4798
% Current number of ordered equations: 1
% Current number of rules: 1302
% New rule produced :
% [1420] b multiply additive_inverse(additive_inverse(c)) <-> c multiply c
% Current number of equations to process: 4798
% Current number of ordered equations: 0
% Current number of rules: 1303
% New rule produced :
% [1421] c multiply a <-> (b add additive_identity) multiply c
% Current number of equations to process: 4797
% Current number of ordered equations: 1
% Current number of rules: 1304
% New rule produced :
% [1422] (b add additive_identity) multiply c <-> c multiply a
% Current number of equations to process: 4797
% Current number of ordered equations: 0
% Current number of rules: 1305
% New rule produced :
% [1423] c multiply a <-> c multiply additive_inverse(additive_inverse(b))
% Current number of equations to process: 4951
% Current number of ordered equations: 3
% Current number of rules: 1306
% New rule produced :
% [1424] c multiply a <-> b multiply additive_inverse(additive_inverse(c))
% Current number of equations to process: 4951
% Current number of ordered equations: 2
% Current number of rules: 1307
% New rule produced :
% [1425] c multiply additive_inverse(additive_inverse(b)) <-> c multiply a
% Current number of equations to process: 4951
% Current number of ordered equations: 1
% Current number of rules: 1308
% New rule produced :
% [1426] b multiply additive_inverse(additive_inverse(c)) <-> c multiply a
% Current number of equations to process: 4951
% Current number of ordered equations: 0
% Current number of rules: 1309
% New rule produced :
% [1427] b multiply a <-> (b add additive_identity) multiply c
% Current number of equations to process: 4950
% Current number of ordered equations: 1
% Current number of rules: 1310
% New rule produced :
% [1428] (b add additive_identity) multiply c <-> b multiply a
% Current number of equations to process: 4950
% Current number of ordered equations: 0
% Current number of rules: 1311
% New rule produced :
% [1429] c <-> additive_inverse(c) multiply additive_inverse(b)
% Current number of equations to process: 1586
% Current number of ordered equations: 1
% Current number of rules: 1312
% New rule produced :
% [1430] additive_inverse(c) multiply additive_inverse(b) <-> c
% Current number of equations to process: 1586
% Current number of ordered equations: 0
% Current number of rules: 1313
% New rule produced :
% [1431] c multiply additive_inverse(additive_inverse(b)) <-> b multiply a
% Current number of equations to process: 1584
% Current number of ordered equations: 3
% Current number of rules: 1314
% New rule produced :
% [1432] b multiply a <-> c multiply additive_inverse(additive_inverse(b))
% Current number of equations to process: 1584
% Current number of ordered equations: 2
% Current number of rules: 1315
% New rule produced :
% [1433] b multiply a <-> b multiply additive_inverse(additive_inverse(c))
% Current number of equations to process: 1584
% Current number of ordered equations: 1
% Current number of rules: 1316
% New rule produced :
% [1434] b multiply additive_inverse(additive_inverse(c)) <-> b multiply a
% Current number of equations to process: 1584
% Current number of ordered equations: 0
% Current number of rules: 1317
% New rule produced :
% [1435] c <-> additive_identity add (c multiply additive_inverse(b))
% Current number of equations to process: 1582
% Current number of ordered equations: 3
% Current number of rules: 1318
% New rule produced :
% [1436] c <-> (c add additive_identity) multiply additive_inverse(b)
% Current number of equations to process: 1582
% Current number of ordered equations: 2
% Current number of rules: 1319
% New rule produced :
% [1437] additive_identity add (c multiply additive_inverse(b)) <-> c
% Current number of equations to process: 1582
% Current number of ordered equations: 1
% Current number of rules: 1320
% New rule produced :
% [1438] (c add additive_identity) multiply additive_inverse(b) <-> c
% Current number of equations to process: 1582
% Current number of ordered equations: 0
% Current number of rules: 1321
% New rule produced : [1439] c <-> c multiply c multiply additive_inverse(b)
% Current number of equations to process: 1581
% Current number of ordered equations: 1
% Current number of rules: 1322
% New rule produced : [1440] c multiply c multiply additive_inverse(b) <-> c
% Current number of equations to process: 1581
% Current number of ordered equations: 0
% Current number of rules: 1323
% New rule produced :
% [1441] c <-> additive_inverse(c) multiply additive_inverse(a)
% Current number of equations to process: 1757
% Current number of ordered equations: 1
% Current number of rules: 1324
% New rule produced :
% [1442] additive_inverse(c) multiply additive_inverse(a) <-> c
% Current number of equations to process: 1757
% Current number of ordered equations: 0
% Current number of rules: 1325
% New rule produced :
% [1443]
% c <-> additive_inverse(additive_inverse(c multiply additive_inverse(b)))
% Current number of equations to process: 1754
% Current number of ordered equations: 5
% Current number of rules: 1326
% New rule produced :
% [1444]
% c <-> c multiply additive_inverse(additive_inverse(additive_inverse(b)))
% Current number of equations to process: 1754
% Current number of ordered equations: 4
% Current number of rules: 1327
% New rule produced :
% [1445]
% c <-> additive_inverse(b) multiply additive_inverse(additive_inverse(c))
% Current number of equations to process: 1754
% Current number of ordered equations: 3
% Current number of rules: 1328
% New rule produced :
% [1446]
% additive_inverse(additive_inverse(c multiply additive_inverse(b))) <-> c
% Current number of equations to process: 1754
% Current number of ordered equations: 2
% Current number of rules: 1329
% New rule produced :
% [1447]
% c multiply additive_inverse(additive_inverse(additive_inverse(b))) <-> c
% Current number of equations to process: 1754
% Current number of ordered equations: 1
% Current number of rules: 1330
% New rule produced :
% [1448]
% additive_inverse(b) multiply additive_inverse(additive_inverse(c)) <-> c
% Current number of equations to process: 1754
% Current number of ordered equations: 0
% Current number of rules: 1331
% New rule produced :
% [1449] c multiply c <-> additive_inverse(c) multiply additive_inverse(b)
% Current number of equations to process: 1753
% Current number of ordered equations: 1
% Current number of rules: 1332
% New rule produced :
% [1450] additive_inverse(c) multiply additive_inverse(b) <-> c multiply c
% Current number of equations to process: 1753
% Current number of ordered equations: 0
% Current number of rules: 1333
% New rule produced :
% [1451] c multiply a <-> additive_inverse(c) multiply additive_inverse(b)
% Current number of equations to process: 1752
% Current number of ordered equations: 1
% Current number of rules: 1334
% New rule produced :
% [1452] additive_inverse(c) multiply additive_inverse(b) <-> c multiply a
% Current number of equations to process: 1752
% Current number of ordered equations: 0
% Current number of rules: 1335
% New rule produced :
% [1453] c multiply b <-> additive_inverse(c) multiply additive_inverse(b)
% Current number of equations to process: 1751
% Current number of ordered equations: 1
% Current number of rules: 1336
% New rule produced :
% [1454] additive_inverse(c) multiply additive_inverse(b) <-> c multiply b
% Current number of equations to process: 1751
% Current number of ordered equations: 0
% Current number of rules: 1337
% New rule produced :
% [1455] c <-> additive_identity add (c multiply additive_inverse(a))
% Current number of equations to process: 1749
% Current number of ordered equations: 3
% Current number of rules: 1338
% New rule produced :
% [1456] c <-> (c add additive_identity) multiply additive_inverse(a)
% Current number of equations to process: 1749
% Current number of ordered equations: 2
% Current number of rules: 1339
% New rule produced :
% [1457] additive_identity add (c multiply additive_inverse(a)) <-> c
% Current number of equations to process: 1749
% Current number of ordered equations: 1
% Current number of rules: 1340
% New rule produced :
% [1458] (c add additive_identity) multiply additive_inverse(a) <-> c
% Current number of equations to process: 1749
% Current number of ordered equations: 0
% Current number of rules: 1341
% New rule produced : [1459] c <-> c multiply c multiply additive_inverse(a)
% Current number of equations to process: 1748
% Current number of ordered equations: 1
% Current number of rules: 1342
% New rule produced : [1460] c multiply c multiply additive_inverse(a) <-> c
% Current number of equations to process: 1748
% Current number of ordered equations: 0
% Current number of rules: 1343
% New rule produced :
% [1461] c <-> additive_inverse(b) multiply additive_inverse(a)
% Current number of equations to process: 1922
% Current number of ordered equations: 1
% Current number of rules: 1344
% New rule produced :
% [1462] additive_inverse(b) multiply additive_inverse(a) <-> c
% Current number of equations to process: 1922
% Current number of ordered equations: 0
% Current number of rules: 1345
% New rule produced :
% [1463]
% c <-> additive_inverse(additive_inverse(c multiply additive_inverse(a)))
% Current number of equations to process: 1919
% Current number of ordered equations: 5
% Current number of rules: 1346
% New rule produced :
% [1464]
% c <-> c multiply additive_inverse(additive_inverse(additive_inverse(a)))
% Current number of equations to process: 1919
% Current number of ordered equations: 4
% Current number of rules: 1347
% New rule produced :
% [1465]
% c <-> additive_inverse(a) multiply additive_inverse(additive_inverse(c))
% Current number of equations to process: 1919
% Current number of ordered equations: 3
% Current number of rules: 1348
% New rule produced :
% [1466]
% additive_inverse(additive_inverse(c multiply additive_inverse(a))) <-> c
% Current number of equations to process: 1919
% Current number of ordered equations: 2
% Current number of rules: 1349
% New rule produced :
% [1467]
% c multiply additive_inverse(additive_inverse(additive_inverse(a))) <-> c
% Current number of equations to process: 1919
% Current number of ordered equations: 1
% Current number of rules: 1350
% New rule produced :
% [1468]
% additive_inverse(a) multiply additive_inverse(additive_inverse(c)) <-> c
% Current number of equations to process: 1919
% Current number of ordered equations: 0
% Current number of rules: 1351
% New rule produced :
% [1469] c multiply c <-> additive_inverse(c) multiply additive_inverse(a)
% Current number of equations to process: 1918
% Current number of ordered equations: 1
% Current number of rules: 1352
% New rule produced :
% [1470] additive_inverse(c) multiply additive_inverse(a) <-> c multiply c
% Current number of equations to process: 1918
% Current number of ordered equations: 0
% Current number of rules: 1353
% New rule produced :
% [1471] c multiply a <-> additive_inverse(c) multiply additive_inverse(a)
% Current number of equations to process: 1917
% Current number of ordered equations: 1
% Current number of rules: 1354
% New rule produced :
% [1472] additive_inverse(c) multiply additive_inverse(a) <-> c multiply a
% Current number of equations to process: 1917
% Current number of ordered equations: 0
% Current number of rules: 1355
% New rule produced :
% [1473] c multiply b <-> additive_inverse(c) multiply additive_inverse(a)
% Current number of equations to process: 1916
% Current number of ordered equations: 1
% Current number of rules: 1356
% New rule produced :
% [1474] additive_inverse(c) multiply additive_inverse(a) <-> c multiply b
% Current number of equations to process: 1916
% Current number of ordered equations: 0
% Current number of rules: 1357
% New rule produced :
% [1475] c <-> additive_identity add (a multiply additive_inverse(b))
% Current number of equations to process: 1914
% Current number of ordered equations: 3
% Current number of rules: 1358
% New rule produced :
% [1476] c <-> (a add additive_identity) multiply additive_inverse(b)
% Current number of equations to process: 1914
% Current number of ordered equations: 2
% Current number of rules: 1359
% New rule produced :
% [1477] additive_identity add (a multiply additive_inverse(b)) <-> c
% Current number of equations to process: 1914
% Current number of ordered equations: 1
% Current number of rules: 1360
% New rule produced :
% [1478] (a add additive_identity) multiply additive_inverse(b) <-> c
% Current number of equations to process: 1914
% Current number of ordered equations: 0
% Current number of rules: 1361
% New rule produced :
% [1479]
% c <-> additive_inverse(additive_inverse(a multiply additive_inverse(b)))
% Current number of equations to process: 2075
% Current number of ordered equations: 5
% Current number of rules: 1362
% New rule produced :
% [1480]
% c <-> a multiply additive_inverse(additive_inverse(additive_inverse(b)))
% Current number of equations to process: 2075
% Current number of ordered equations: 4
% Current number of rules: 1363
% New rule produced :
% [1481]
% c <-> additive_inverse(b) multiply additive_inverse(additive_inverse(a))
% Current number of equations to process: 2075
% Current number of ordered equations: 3
% Current number of rules: 1364
% New rule produced :
% [1482]
% additive_inverse(additive_inverse(a multiply additive_inverse(b))) <-> c
% Current number of equations to process: 2075
% Current number of ordered equations: 2
% Current number of rules: 1365
% New rule produced :
% [1483]
% a multiply additive_inverse(additive_inverse(additive_inverse(b))) <-> c
% Current number of equations to process: 2075
% Current number of ordered equations: 1
% Current number of rules: 1366
% New rule produced :
% [1484]
% additive_inverse(b) multiply additive_inverse(additive_inverse(a)) <-> c
% Current number of equations to process: 2075
% Current number of ordered equations: 0
% Current number of rules: 1367
% New rule produced :
% [1485] c multiply a <-> additive_inverse(b) multiply additive_inverse(a)
% Current number of equations to process: 2074
% Current number of ordered equations: 1
% Current number of rules: 1368
% New rule produced :
% [1486] additive_inverse(b) multiply additive_inverse(a) <-> c multiply a
% Current number of equations to process: 2074
% Current number of ordered equations: 0
% Current number of rules: 1369
% New rule produced :
% [1487] c <-> additive_identity add (a multiply additive_inverse(c))
% Current number of equations to process: 2072
% Current number of ordered equations: 3
% Current number of rules: 1370
% New rule produced :
% [1488] c <-> (a add additive_identity) multiply additive_inverse(c)
% Current number of equations to process: 2072
% Current number of ordered equations: 2
% Current number of rules: 1371
% New rule produced :
% [1489] additive_identity add (a multiply additive_inverse(c)) <-> c
% Current number of equations to process: 2072
% Current number of ordered equations: 1
% Current number of rules: 1372
% New rule produced :
% [1490] (a add additive_identity) multiply additive_inverse(c) <-> c
% Current number of equations to process: 2072
% Current number of ordered equations: 0
% Current number of rules: 1373
% New rule produced :
% [1491] c multiply additive_inverse(b) <-> c multiply additive_inverse(c)
% Current number of equations to process: 2248
% Current number of ordered equations: 1
% Current number of rules: 1374
% New rule produced :
% [1492] c multiply additive_inverse(c) <-> c multiply additive_inverse(b)
% Current number of equations to process: 2248
% Current number of ordered equations: 0
% Current number of rules: 1375
% New rule produced :
% [1493]
% c <-> additive_inverse(additive_inverse(a multiply additive_inverse(c)))
% Current number of equations to process: 2245
% Current number of ordered equations: 5
% Current number of rules: 1376
% New rule produced :
% [1494]
% c <-> a multiply additive_inverse(additive_inverse(additive_inverse(c)))
% Current number of equations to process: 2245
% Current number of ordered equations: 4
% Current number of rules: 1377
% New rule produced :
% [1495]
% c <-> additive_inverse(c) multiply additive_inverse(additive_inverse(a))
% Current number of equations to process: 2245
% Current number of ordered equations: 3
% Current number of rules: 1378
% New rule produced :
% [1496]
% additive_inverse(additive_inverse(a multiply additive_inverse(c))) <-> c
% Current number of equations to process: 2245
% Current number of ordered equations: 2
% Current number of rules: 1379
% New rule produced :
% [1497]
% a multiply additive_inverse(additive_inverse(additive_inverse(c))) <-> c
% Current number of equations to process: 2245
% Current number of ordered equations: 1
% Current number of rules: 1380
% New rule produced :
% [1498]
% additive_inverse(c) multiply additive_inverse(additive_inverse(a)) <-> c
% Current number of equations to process: 2245
% Current number of ordered equations: 0
% Current number of rules: 1381
% New rule produced :
% [1499] c add additive_identity <-> (a add additive_identity) multiply b
% Current number of equations to process: 2243
% Current number of ordered equations: 3
% Current number of rules: 1382
% New rule produced :
% [1500] c add additive_identity <-> (b add additive_identity) multiply a
% Current number of equations to process: 2243
% Current number of ordered equations: 2
% Current number of rules: 1383
% New rule produced :
% [1501] (a add additive_identity) multiply b <-> c add additive_identity
% Current number of equations to process: 2243
% Current number of ordered equations: 1
% Current number of rules: 1384
% New rule produced :
% [1502] (b add additive_identity) multiply a <-> c add additive_identity
% Current number of equations to process: 2243
% Current number of ordered equations: 0
% Current number of rules: 1385
% New rule produced :
% [1503]
% additive_inverse(additive_inverse(b multiply a)) <-> c add additive_identity
% Current number of equations to process: 2398
% Current number of ordered equations: 5
% Current number of rules: 1386
% New rule produced :
% [1504]
% c add additive_identity <-> additive_inverse(additive_inverse(b multiply a))
% Current number of equations to process: 2398
% Current number of ordered equations: 4
% Current number of rules: 1387
% New rule produced :
% [1505]
% c add additive_identity <-> a multiply additive_inverse(additive_inverse(b))
% Current number of equations to process: 2398
% Current number of ordered equations: 3
% Current number of rules: 1388
% New rule produced :
% [1506]
% c add additive_identity <-> b multiply additive_inverse(additive_inverse(a))
% Current number of equations to process: 2398
% Current number of ordered equations: 2
% Current number of rules: 1389
% New rule produced :
% [1507]
% a multiply additive_inverse(additive_inverse(b)) <-> c add additive_identity
% Current number of equations to process: 2398
% Current number of ordered equations: 1
% Current number of rules: 1390
% New rule produced :
% [1508]
% b multiply additive_inverse(additive_inverse(a)) <-> c add additive_identity
% Current number of equations to process: 2398
% Current number of ordered equations: 0
% Current number of rules: 1391
% New rule produced :
% [1509] additive_identity add (b multiply a) <-> c multiply c
% Current number of equations to process: 2395
% Current number of ordered equations: 5
% Current number of rules: 1392
% New rule produced :
% [1510] c multiply c <-> additive_identity add (b multiply a)
% Current number of equations to process: 2395
% Current number of ordered equations: 4
% Current number of rules: 1393
% New rule produced :
% [1511] c multiply c <-> (a add additive_identity) multiply b
% Current number of equations to process: 2395
% Current number of ordered equations: 3
% Current number of rules: 1394
% New rule produced :
% [1512] c multiply c <-> (b add additive_identity) multiply a
% Current number of equations to process: 2395
% Current number of ordered equations: 2
% Current number of rules: 1395
% New rule produced :
% [1513] (a add additive_identity) multiply b <-> c multiply c
% Current number of equations to process: 2395
% Current number of ordered equations: 1
% Current number of rules: 1396
% New rule produced :
% [1514] (b add additive_identity) multiply a <-> c multiply c
% Current number of equations to process: 2395
% Current number of ordered equations: 0
% Current number of rules: 1397
% New rule produced :
% [1515] additive_inverse(additive_inverse(b multiply a)) <-> c multiply c
% Current number of equations to process: 2548
% Current number of ordered equations: 5
% Current number of rules: 1398
% New rule produced :
% [1516] c multiply c <-> additive_inverse(additive_inverse(b multiply a))
% Current number of equations to process: 2548
% Current number of ordered equations: 4
% Current number of rules: 1399
% New rule produced :
% [1517] c multiply c <-> a multiply additive_inverse(additive_inverse(b))
% Current number of equations to process: 2548
% Current number of ordered equations: 3
% Current number of rules: 1400
% New rule produced :
% [1518] c multiply c <-> b multiply additive_inverse(additive_inverse(a))
% Current number of equations to process: 2548
% Current number of ordered equations: 2
% Current number of rules: 1401
% New rule produced :
% [1519] a multiply additive_inverse(additive_inverse(b)) <-> c multiply c
% Current number of equations to process: 2548
% Current number of ordered equations: 1
% Current number of rules: 1402
% New rule produced :
% [1520] b multiply additive_inverse(additive_inverse(a)) <-> c multiply c
% Current number of equations to process: 2548
% Current number of ordered equations: 0
% Current number of rules: 1403
% New rule produced :
% [1521] c multiply a <-> (b add additive_identity) multiply a
% Current number of equations to process: 2547
% Current number of ordered equations: 1
% Current number of rules: 1404
% New rule produced :
% [1522] (b add additive_identity) multiply a <-> c multiply a
% Current number of equations to process: 2547
% Current number of ordered equations: 0
% Current number of rules: 1405
% New rule produced :
% [1523] c multiply a <-> a multiply additive_inverse(additive_inverse(b))
% Current number of equations to process: 2683
% Current number of ordered equations: 3
% Current number of rules: 1406
% New rule produced :
% [1524] c multiply a <-> b multiply additive_inverse(additive_inverse(a))
% Current number of equations to process: 2683
% Current number of ordered equations: 2
% Current number of rules: 1407
% New rule produced :
% [1525] a multiply additive_inverse(additive_inverse(b)) <-> c multiply a
% Current number of equations to process: 2683
% Current number of ordered equations: 1
% Current number of rules: 1408
% New rule produced :
% [1526] b multiply additive_inverse(additive_inverse(a)) <-> c multiply a
% Current number of equations to process: 2683
% Current number of ordered equations: 0
% Current number of rules: 1409
% New rule produced :
% [1527] c multiply b <-> (a add additive_identity) multiply b
% Current number of equations to process: 2682
% Current number of ordered equations: 1
% Current number of rules: 1410
% New rule produced :
% [1528] (a add additive_identity) multiply b <-> c multiply b
% Current number of equations to process: 2682
% Current number of ordered equations: 0
% Current number of rules: 1411
% New rule produced :
% [1529] c multiply b <-> a multiply additive_inverse(additive_inverse(b))
% Current number of equations to process: 2823
% Current number of ordered equations: 3
% Current number of rules: 1412
% New rule produced :
% [1530] c multiply b <-> b multiply additive_inverse(additive_inverse(a))
% Current number of equations to process: 2823
% Current number of ordered equations: 2
% Current number of rules: 1413
% New rule produced :
% [1531] a multiply additive_inverse(additive_inverse(b)) <-> c multiply b
% Current number of equations to process: 2823
% Current number of ordered equations: 1
% Current number of rules: 1414
% New rule produced :
% [1532] b multiply additive_inverse(additive_inverse(a)) <-> c multiply b
% Current number of equations to process: 2823
% Current number of ordered equations: 0
% Current number of rules: 1415
% New rule produced :
% [1533] c <-> additive_identity add (b multiply additive_inverse(c))
% Current number of equations to process: 2821
% Current number of ordered equations: 3
% Current number of rules: 1416
% New rule produced :
% [1534] c <-> (b add additive_identity) multiply additive_inverse(c)
% Current number of equations to process: 2821
% Current number of ordered equations: 2
% Current number of rules: 1417
% New rule produced :
% [1535] additive_identity add (b multiply additive_inverse(c)) <-> c
% Current number of equations to process: 2821
% Current number of ordered equations: 1
% Current number of rules: 1418
% New rule produced :
% [1536] (b add additive_identity) multiply additive_inverse(c) <-> c
% Current number of equations to process: 2821
% Current number of ordered equations: 0
% Current number of rules: 1419
% New rule produced :
% [1537]
% c <-> additive_inverse(additive_inverse(b multiply additive_inverse(c)))
% Current number of equations to process: 3004
% Current number of ordered equations: 5
% Current number of rules: 1420
% New rule produced :
% [1538]
% c <-> b multiply additive_inverse(additive_inverse(additive_inverse(c)))
% Current number of equations to process: 3004
% Current number of ordered equations: 4
% Current number of rules: 1421
% New rule produced :
% [1539]
% c <-> additive_inverse(c) multiply additive_inverse(additive_inverse(b))
% Current number of equations to process: 3004
% Current number of ordered equations: 3
% Current number of rules: 1422
% New rule produced :
% [1540]
% additive_inverse(additive_inverse(b multiply additive_inverse(c))) <-> c
% Current number of equations to process: 3004
% Current number of ordered equations: 2
% Current number of rules: 1423
% New rule produced :
% [1541]
% b multiply additive_inverse(additive_inverse(additive_inverse(c))) <-> c
% Current number of equations to process: 3004
% Current number of ordered equations: 1
% Current number of rules: 1424
% New rule produced :
% [1542]
% additive_inverse(c) multiply additive_inverse(additive_inverse(b)) <-> c
% Current number of equations to process: 3004
% Current number of ordered equations: 0
% Current number of rules: 1425
% New rule produced :
% [1543] c <-> additive_identity add (b multiply additive_inverse(a))
% Current number of equations to process: 3002
% Current number of ordered equations: 3
% Current number of rules: 1426
% New rule produced :
% [1544] c <-> (b add additive_identity) multiply additive_inverse(a)
% Current number of equations to process: 3002
% Current number of ordered equations: 2
% Current number of rules: 1427
% New rule produced :
% [1545] additive_identity add (b multiply additive_inverse(a)) <-> c
% Current number of equations to process: 3002
% Current number of ordered equations: 1
% Current number of rules: 1428
% New rule produced :
% [1546] (b add additive_identity) multiply additive_inverse(a) <-> c
% Current number of equations to process: 3002
% Current number of ordered equations: 0
% Current number of rules: 1429
% New rule produced :
% [1547] c multiply additive_inverse(c) <-> c multiply additive_inverse(a)
% Current number of equations to process: 3154
% Current number of ordered equations: 1
% Current number of rules: 1430
% New rule produced :
% [1548] c multiply additive_inverse(a) <-> c multiply additive_inverse(c)
% Current number of equations to process: 3154
% Current number of ordered equations: 0
% Current number of rules: 1431
% New rule produced :
% [1549]
% c <-> additive_inverse(additive_inverse(b multiply additive_inverse(a)))
% Current number of equations to process: 3151
% Current number of ordered equations: 5
% Current number of rules: 1432
% New rule produced :
% [1550]
% c <-> b multiply additive_inverse(additive_inverse(additive_inverse(a)))
% Current number of equations to process: 3151
% Current number of ordered equations: 4
% Current number of rules: 1433
% New rule produced :
% [1551]
% c <-> additive_inverse(a) multiply additive_inverse(additive_inverse(b))
% Current number of equations to process: 3151
% Current number of ordered equations: 3
% Current number of rules: 1434
% New rule produced :
% [1552]
% additive_inverse(additive_inverse(b multiply additive_inverse(a))) <-> c
% Current number of equations to process: 3151
% Current number of ordered equations: 2
% Current number of rules: 1435
% New rule produced :
% [1553]
% b multiply additive_inverse(additive_inverse(additive_inverse(a))) <-> c
% Current number of equations to process: 3151
% Current number of ordered equations: 1
% Current number of rules: 1436
% New rule produced :
% [1554]
% additive_inverse(a) multiply additive_inverse(additive_inverse(b)) <-> c
% Current number of equations to process: 3151
% Current number of ordered equations: 0
% Current number of rules: 1437
% New rule produced :
% [1555] c multiply b <-> additive_inverse(b) multiply additive_inverse(a)
% Current number of equations to process: 3150
% Current number of ordered equations: 1
% Current number of rules: 1438
% New rule produced :
% [1556] additive_inverse(b) multiply additive_inverse(a) <-> c multiply b
% Current number of equations to process: 3150
% Current number of ordered equations: 0
% Current number of rules: 1439
% New rule produced :
% [1557]
% additive_identity <->
% additive_inverse(additive_inverse(additive_inverse(additive_identity) multiply X))
% Current number of equations to process: 3369
% Current number of ordered equations: 3
% Current number of rules: 1440
% New rule produced :
% [1558]
% additive_identity <->
% additive_inverse(additive_inverse(additive_inverse(additive_identity))) multiply X
% Current number of equations to process: 3369
% Current number of ordered equations: 2
% Current number of rules: 1441
% New rule produced :
% [1559]
% additive_inverse(additive_inverse(additive_inverse(additive_identity) multiply X))
% <-> additive_identity
% Current number of equations to process: 3369
% Current number of ordered equations: 1
% Current number of rules: 1442
% New rule produced :
% [1560]
% additive_inverse(additive_inverse(additive_inverse(additive_identity))) multiply X
% <-> additive_identity
% Current number of equations to process: 3369
% Current number of ordered equations: 0
% Current number of rules: 1443
% New rule produced :
% [1561]
% additive_inverse(additive_identity) <->
% additive_identity add additive_inverse(X add X)
% Current number of equations to process: 3367
% Current number of ordered equations: 3
% Current number of rules: 1444
% New rule produced :
% [1562]
% additive_inverse(additive_identity) <->
% additive_identity add additive_inverse(X) add X
% Current number of equations to process: 3367
% Current number of ordered equations: 2
% Current number of rules: 1445
% New rule produced :
% [1563]
% additive_identity add additive_inverse(X add X) <->
% additive_inverse(additive_identity)
% Current number of equations to process: 3367
% Current number of ordered equations: 1
% Current number of rules: 1446
% New rule produced :
% [1564]
% additive_identity add additive_inverse(X) add X <->
% additive_inverse(additive_identity)
% Current number of equations to process: 3367
% Current number of ordered equations: 0
% Current number of rules: 1447
% New rule produced :
% [1565] additive_inverse(Y) <-> additive_inverse(X) add X add Y
% Rule
% [1562]
% additive_inverse(additive_identity) <->
% additive_identity add additive_inverse(X) add X collapsed.
% Current number of equations to process: 3366
% Current number of ordered equations: 1
% Current number of rules: 1447
% New rule produced :
% [1566] additive_inverse(X) add X add Y <-> additive_inverse(Y)
% Rule
% [1564]
% additive_identity add additive_inverse(X) add X <->
% additive_inverse(additive_identity) collapsed.
% Current number of equations to process: 3366
% Current number of ordered equations: 0
% Current number of rules: 1447
% New rule produced :
% [1567]
% additive_inverse(additive_identity) <->
% additive_inverse(additive_identity add X) add X
% Current number of equations to process: 3363
% Current number of ordered equations: 1
% Current number of rules: 1448
% New rule produced :
% [1568]
% additive_inverse(additive_identity add X) add X <->
% additive_inverse(additive_identity)
% Current number of equations to process: 3363
% Current number of ordered equations: 0
% Current number of rules: 1449
% New rule produced :
% [1569] additive_inverse(X multiply Y) <-> X multiply Y multiply Y
% Current number of equations to process: 3362
% Current number of ordered equations: 1
% Current number of rules: 1450
% New rule produced :
% [1570] X multiply Y multiply Y <-> additive_inverse(X multiply Y)
% Current number of equations to process: 3362
% Current number of ordered equations: 0
% Current number of rules: 1451
% New rule produced :
% [1571]
% additive_inverse(additive_identity) <->
% (additive_inverse(X) add X) multiply Y
% Current number of equations to process: 3354
% Current number of ordered equations: 1
% Current number of rules: 1452
% New rule produced :
% [1572]
% (additive_inverse(X) add X) multiply Y <->
% additive_inverse(additive_identity)
% Current number of equations to process: 3354
% Current number of ordered equations: 0
% Current number of rules: 1453
% New rule produced :
% [1573]
% additive_inverse(additive_identity) <->
% additive_inverse(additive_identity multiply X) multiply Y
% Current number of equations to process: 3351
% Current number of ordered equations: 1
% Current number of rules: 1454
% New rule produced :
% [1574]
% additive_inverse(additive_identity multiply X) multiply Y <->
% additive_inverse(additive_identity)
% Current number of equations to process: 3351
% Current number of ordered equations: 0
% Current number of rules: 1455
% New rule produced :
% [1575]
% additive_inverse(X) <->
% additive_inverse(additive_identity add additive_identity) add X
% Current number of equations to process: 3350
% Current number of ordered equations: 1
% Current number of rules: 1456
% New rule produced :
% [1576]
% additive_inverse(additive_identity add additive_identity) add X <->
% additive_inverse(X)
% Current number of equations to process: 3350
% Current number of ordered equations: 0
% Current number of rules: 1457
% New rule produced :
% [1577]
% additive_inverse(additive_identity) <->
% additive_inverse(additive_identity add additive_identity) multiply X
% Current number of equations to process: 3349
% Current number of ordered equations: 1
% Current number of rules: 1458
% New rule produced :
% [1578]
% additive_inverse(additive_identity add additive_identity) multiply X <->
% additive_inverse(additive_identity)
% Current number of equations to process: 3349
% Current number of ordered equations: 0
% Current number of rules: 1459
% New rule produced :
% [1579]
% additive_inverse(c) <-> c multiply additive_inverse(a add additive_identity)
% Current number of equations to process: 3347
% Current number of ordered equations: 3
% Current number of rules: 1460
% New rule produced :
% [1580]
% additive_inverse(c) <-> a multiply additive_inverse(c add additive_identity)
% Current number of equations to process: 3347
% Current number of ordered equations: 2
% Current number of rules: 1461
% New rule produced :
% [1581]
% c multiply additive_inverse(a add additive_identity) <-> additive_inverse(c)
% Current number of equations to process: 3347
% Current number of ordered equations: 1
% Current number of rules: 1462
% New rule produced :
% [1582]
% a multiply additive_inverse(c add additive_identity) <-> additive_inverse(c)
% Current number of equations to process: 3347
% Current number of ordered equations: 0
% Current number of rules: 1463
% New rule produced :
% [1583]
% additive_inverse(c) <-> c multiply additive_inverse(b add additive_identity)
% Current number of equations to process: 3345
% Current number of ordered equations: 3
% Current number of rules: 1464
% New rule produced :
% [1584]
% additive_inverse(c) <-> b multiply additive_inverse(c add additive_identity)
% Current number of equations to process: 3345
% Current number of ordered equations: 2
% Current number of rules: 1465
% New rule produced :
% [1585]
% c multiply additive_inverse(b add additive_identity) <-> additive_inverse(c)
% Current number of equations to process: 3345
% Current number of ordered equations: 1
% Current number of rules: 1466
% New rule produced :
% [1586]
% b multiply additive_inverse(c add additive_identity) <-> additive_inverse(c)
% Current number of equations to process: 3345
% Current number of ordered equations: 0
% Current number of rules: 1467
% New rule produced :
% [1587]
% additive_inverse(c) <-> a multiply additive_inverse(b add additive_identity)
% Current number of equations to process: 3343
% Current number of ordered equations: 3
% Current number of rules: 1468
% New rule produced :
% [1588]
% additive_inverse(c) <-> b multiply additive_inverse(a add additive_identity)
% Current number of equations to process: 3343
% Current number of ordered equations: 2
% Current number of rules: 1469
% New rule produced :
% [1589]
% a multiply additive_inverse(b add additive_identity) <-> additive_inverse(c)
% Current number of equations to process: 3343
% Current number of ordered equations: 1
% Current number of rules: 1470
% New rule produced :
% [1590]
% b multiply additive_inverse(a add additive_identity) <-> additive_inverse(c)
% Current number of equations to process: 3343
% Current number of ordered equations: 0
% Current number of rules: 1471
% New rule produced :
% [1591]
% additive_inverse(X) <->
% additive_inverse(additive_identity multiply additive_identity) add X
% Current number of equations to process: 3342
% Current number of ordered equations: 1
% Current number of rules: 1472
% New rule produced :
% [1592]
% additive_inverse(additive_identity multiply additive_identity) add X <->
% additive_inverse(X)
% Current number of equations to process: 3342
% Current number of ordered equations: 0
% Current number of rules: 1473
% New rule produced :
% [1593] additive_inverse(c) <-> c multiply additive_inverse(a multiply a)
% Current number of equations to process: 3339
% Current number of ordered equations: 3
% Current number of rules: 1474
% New rule produced :
% [1594] additive_inverse(c) <-> a multiply additive_inverse(c multiply c)
% Current number of equations to process: 3339
% Current number of ordered equations: 2
% Current number of rules: 1475
% New rule produced :
% [1595] c multiply additive_inverse(a multiply a) <-> additive_inverse(c)
% Current number of equations to process: 3339
% Current number of ordered equations: 1
% Current number of rules: 1476
% New rule produced :
% [1596] a multiply additive_inverse(c multiply c) <-> additive_inverse(c)
% Current number of equations to process: 3339
% Current number of ordered equations: 0
% Current number of rules: 1477
% New rule produced :
% [1597] additive_inverse(c) <-> c multiply additive_inverse(b multiply b)
% Current number of equations to process: 3337
% Current number of ordered equations: 3
% Current number of rules: 1478
% New rule produced :
% [1598] additive_inverse(c) <-> b multiply additive_inverse(c multiply c)
% Current number of equations to process: 3337
% Current number of ordered equations: 2
% Current number of rules: 1479
% New rule produced :
% [1599] c multiply additive_inverse(b multiply b) <-> additive_inverse(c)
% Current number of equations to process: 3337
% Current number of ordered equations: 1
% Current number of rules: 1480
% New rule produced :
% [1600] b multiply additive_inverse(c multiply c) <-> additive_inverse(c)
% Current number of equations to process: 3337
% Current number of ordered equations: 0
% Current number of rules: 1481
% New rule produced :
% [1601] additive_inverse(c) <-> a multiply additive_inverse(b multiply b)
% Current number of equations to process: 3335
% Current number of ordered equations: 3
% Current number of rules: 1482
% New rule produced :
% [1602] additive_inverse(c) <-> b multiply additive_inverse(a multiply a)
% Current number of equations to process: 3335
% Current number of ordered equations: 2
% Current number of rules: 1483
% New rule produced :
% [1603] a multiply additive_inverse(b multiply b) <-> additive_inverse(c)
% Current number of equations to process: 3335
% Current number of ordered equations: 1
% Current number of rules: 1484
% New rule produced :
% [1604] b multiply additive_inverse(a multiply a) <-> additive_inverse(c)
% Current number of equations to process: 3335
% Current number of ordered equations: 0
% Current number of rules: 1485
% New rule produced :
% [1605]
% additive_inverse(X) <->
% additive_identity add additive_inverse(additive_identity add X)
% Current number of equations to process: 3332
% Current number of ordered equations: 1
% Current number of rules: 1486
% New rule produced :
% [1606]
% additive_identity add additive_inverse(additive_identity add X) <->
% additive_inverse(X)
% Current number of equations to process: 3332
% Current number of ordered equations: 0
% Current number of rules: 1487
% New rule produced :
% [1607]
% additive_inverse(X) <-> additive_identity add additive_inverse(X multiply X)
% Current number of equations to process: 3331
% Current number of ordered equations: 1
% Current number of rules: 1488
% New rule produced :
% [1608]
% additive_identity add additive_inverse(X multiply X) <-> additive_inverse(X)
% Current number of equations to process: 3331
% Current number of ordered equations: 0
% Current number of rules: 1489
% New rule produced :
% [1609]
% additive_inverse(additive_identity) <->
% additive_identity add additive_inverse(additive_identity multiply X)
% Current number of equations to process: 3329
% Current number of ordered equations: 1
% Current number of rules: 1490
% New rule produced :
% [1610]
% additive_identity add additive_inverse(additive_identity multiply X) <->
% additive_inverse(additive_identity)
% Current number of equations to process: 3329
% Current number of ordered equations: 0
% Current number of rules: 1491
% New rule produced :
% [1611]
% additive_inverse(c) <-> additive_identity add additive_inverse(c multiply a)
% Current number of equations to process: 3326
% Current number of ordered equations: 5
% Current number of rules: 1492
% New rule produced :
% [1612]
% additive_inverse(c) <->
% (additive_identity add additive_inverse(c)) multiply a
% Current number of equations to process: 3326
% Current number of ordered equations: 4
% Current number of rules: 1493
% New rule produced :
% [1613]
% additive_inverse(c) <->
% (additive_identity add additive_inverse(a)) multiply c
% Current number of equations to process: 3326
% Current number of ordered equations: 3
% Current number of rules: 1494
% New rule produced :
% [1614]
% additive_identity add additive_inverse(c multiply a) <-> additive_inverse(c)
% Current number of equations to process: 3326
% Current number of ordered equations: 2
% Current number of rules: 1495
% New rule produced :
% [1615]
% (additive_identity add additive_inverse(c)) multiply a <->
% additive_inverse(c)
% Current number of equations to process: 3326
% Current number of ordered equations: 1
% Current number of rules: 1496
% New rule produced :
% [1616]
% (additive_identity add additive_inverse(a)) multiply c <->
% additive_inverse(c)
% Current number of equations to process: 3326
% Current number of ordered equations: 0
% Current number of rules: 1497
% New rule produced :
% [1617]
% additive_inverse(c) <-> additive_identity add additive_inverse(c multiply b)
% Current number of equations to process: 3323
% Current number of ordered equations: 5
% Current number of rules: 1498
% New rule produced :
% [1618]
% additive_inverse(c) <->
% (additive_identity add additive_inverse(c)) multiply b
% Current number of equations to process: 3323
% Current number of ordered equations: 4
% Current number of rules: 1499
% New rule produced :
% [1619]
% additive_inverse(c) <->
% (additive_identity add additive_inverse(b)) multiply c
% Current number of equations to process: 3323
% Current number of ordered equations: 3
% Current number of rules: 1500
% New rule produced :
% [1620]
% additive_identity add additive_inverse(c multiply b) <-> additive_inverse(c)
% Current number of equations to process: 3323
% Current number of ordered equations: 2
% Current number of rules: 1501
% New rule produced :
% [1621]
% (additive_identity add additive_inverse(c)) multiply b <->
% additive_inverse(c)
% Current number of equations to process: 3323
% Current number of ordered equations: 1
% Current number of rules: 1502
% New rule produced :
% [1622]
% (additive_identity add additive_inverse(b)) multiply c <->
% additive_inverse(c)
% Current number of equations to process: 3323
% Current number of ordered equations: 0
% Current number of rules: 1503
% New rule produced :
% [1623]
% additive_inverse(c) <-> additive_identity add additive_inverse(b multiply a)
% Current number of equations to process: 3320
% Current number of ordered equations: 5
% Current number of rules: 1504
% New rule produced :
% [1624]
% additive_inverse(c) <->
% (additive_identity add additive_inverse(a)) multiply b
% Current number of equations to process: 3320
% Current number of ordered equations: 4
% Current number of rules: 1505
% New rule produced :
% [1625]
% additive_inverse(c) <->
% (additive_identity add additive_inverse(b)) multiply a
% Current number of equations to process: 3320
% Current number of ordered equations: 3
% Current number of rules: 1506
% New rule produced :
% [1626]
% additive_identity add additive_inverse(b multiply a) <-> additive_inverse(c)
% Current number of equations to process: 3320
% Current number of ordered equations: 2
% Current number of rules: 1507
% New rule produced :
% [1627]
% (additive_identity add additive_inverse(a)) multiply b <->
% additive_inverse(c)
% Current number of equations to process: 3320
% Current number of ordered equations: 1
% Current number of rules: 1508
% New rule produced :
% [1628]
% (additive_identity add additive_inverse(b)) multiply a <->
% additive_inverse(c)
% Current number of equations to process: 3320
% Current number of ordered equations: 0
% Current number of rules: 1509
% New rule produced :
% [1629]
% additive_inverse(X) <->
% (X multiply X) add additive_inverse(additive_identity)
% Current number of equations to process: 3318
% Current number of ordered equations: 1
% Current number of rules: 1510
% New rule produced :
% [1630]
% (X multiply X) add additive_inverse(additive_identity) <->
% additive_inverse(X)
% Current number of equations to process: 3318
% Current number of ordered equations: 0
% Current number of rules: 1511
% New rule produced :
% [1631]
% additive_inverse(c) <->
% (c multiply a) add additive_inverse(additive_identity)
% Current number of equations to process: 3314
% Current number of ordered equations: 5
% Current number of rules: 1512
% New rule produced :
% [1632]
% additive_inverse(c) <->
% (a add additive_inverse(additive_identity)) multiply c
% Current number of equations to process: 3314
% Current number of ordered equations: 4
% Current number of rules: 1513
% New rule produced :
% [1633]
% additive_inverse(c) <->
% (c add additive_inverse(additive_identity)) multiply a
% Current number of equations to process: 3314
% Current number of ordered equations: 3
% Current number of rules: 1514
% New rule produced :
% [1634]
% (c multiply a) add additive_inverse(additive_identity) <->
% additive_inverse(c)
% Current number of equations to process: 3314
% Current number of ordered equations: 2
% Current number of rules: 1515
% New rule produced :
% [1635]
% (a add additive_inverse(additive_identity)) multiply c <->
% additive_inverse(c)
% Current number of equations to process: 3314
% Current number of ordered equations: 1
% Current number of rules: 1516
% New rule produced :
% [1636]
% (c add additive_inverse(additive_identity)) multiply a <->
% additive_inverse(c)
% Current number of equations to process: 3314
% Current number of ordered equations: 0
% Current number of rules: 1517
% New rule produced :
% [1637]
% additive_inverse(c) <->
% (c multiply b) add additive_inverse(additive_identity)
% Current number of equations to process: 3311
% Current number of ordered equations: 5
% Current number of rules: 1518
% New rule produced :
% [1638]
% additive_inverse(c) <->
% (b add additive_inverse(additive_identity)) multiply c
% Current number of equations to process: 3311
% Current number of ordered equations: 4
% Current number of rules: 1519
% New rule produced :
% [1639]
% additive_inverse(c) <->
% (c add additive_inverse(additive_identity)) multiply b
% Current number of equations to process: 3311
% Current number of ordered equations: 3
% Current number of rules: 1520
% New rule produced :
% [1640]
% (c multiply b) add additive_inverse(additive_identity) <->
% additive_inverse(c)
% Current number of equations to process: 3311
% Current number of ordered equations: 2
% Current number of rules: 1521
% New rule produced :
% [1641]
% (b add additive_inverse(additive_identity)) multiply c <->
% additive_inverse(c)
% Current number of equations to process: 3311
% Current number of ordered equations: 1
% Current number of rules: 1522
% New rule produced :
% [1642]
% (c add additive_inverse(additive_identity)) multiply b <->
% additive_inverse(c)
% Current number of equations to process: 3311
% Current number of ordered equations: 0
% Current number of rules: 1523
% New rule produced :
% [1643]
% additive_inverse(c) <->
% (b multiply a) add additive_inverse(additive_identity)
% Current number of equations to process: 3308
% Current number of ordered equations: 5
% Current number of rules: 1524
% New rule produced :
% [1644]
% additive_inverse(c) <->
% (b add additive_inverse(additive_identity)) multiply a
% Current number of equations to process: 3308
% Current number of ordered equations: 4
% Current number of rules: 1525
% New rule produced :
% [1645]
% additive_inverse(c) <->
% (a add additive_inverse(additive_identity)) multiply b
% Current number of equations to process: 3308
% Current number of ordered equations: 3
% Current number of rules: 1526
% New rule produced :
% [1646]
% (b multiply a) add additive_inverse(additive_identity) <->
% additive_inverse(c)
% Current number of equations to process: 3308
% Current number of ordered equations: 2
% Current number of rules: 1527
% New rule produced :
% [1647]
% (b add additive_inverse(additive_identity)) multiply a <->
% additive_inverse(c)
% Current number of equations to process: 3308
% Current number of ordered equations: 1
% Current number of rules: 1528
% New rule produced :
% [1648]
% (a add additive_inverse(additive_identity)) multiply b <->
% additive_inverse(c)
% Current number of equations to process: 3308
% Current number of ordered equations: 0
% Current number of rules: 1529
% New rule produced :
% [1649] additive_inverse(c) <-> a multiply additive_inverse(b multiply a)
% Current number of equations to process: 3307
% Current number of ordered equations: 1
% Current number of rules: 1530
% New rule produced :
% [1650] a multiply additive_inverse(b multiply a) <-> additive_inverse(c)
% Current number of equations to process: 3307
% Current number of ordered equations: 0
% Current number of rules: 1531
% New rule produced :
% [1651] additive_inverse(c) <-> b multiply additive_inverse(b multiply a)
% Current number of equations to process: 3306
% Current number of ordered equations: 1
% Current number of rules: 1532
% New rule produced :
% [1652] b multiply additive_inverse(b multiply a) <-> additive_inverse(c)
% Current number of equations to process: 3306
% Current number of ordered equations: 0
% Current number of rules: 1533
% New rule produced :
% [1653] additive_inverse(c) <-> a multiply additive_inverse(c multiply b)
% Current number of equations to process: 3305
% Current number of ordered equations: 1
% Current number of rules: 1534
% New rule produced :
% [1654] a multiply additive_inverse(c multiply b) <-> additive_inverse(c)
% Current number of equations to process: 3305
% Current number of ordered equations: 0
% Current number of rules: 1535
% New rule produced :
% [1655] additive_inverse(c) <-> b multiply additive_inverse(c multiply b)
% Current number of equations to process: 3304
% Current number of ordered equations: 1
% Current number of rules: 1536
% New rule produced :
% [1656] b multiply additive_inverse(c multiply b) <-> additive_inverse(c)
% Current number of equations to process: 3304
% Current number of ordered equations: 0
% Current number of rules: 1537
% New rule produced :
% [1657] additive_inverse(c) <-> a multiply additive_inverse(c multiply a)
% Current number of equations to process: 3303
% Current number of ordered equations: 1
% Current number of rules: 1538
% New rule produced :
% [1658] a multiply additive_inverse(c multiply a) <-> additive_inverse(c)
% Current number of equations to process: 3303
% Current number of ordered equations: 0
% Current number of rules: 1539
% New rule produced :
% [1659] additive_inverse(c) <-> b multiply additive_inverse(c multiply a)
% Current number of equations to process: 3302
% Current number of ordered equations: 1
% Current number of rules: 1540
% New rule produced :
% [1660] b multiply additive_inverse(c multiply a) <-> additive_inverse(c)
% Current number of equations to process: 3302
% Current number of ordered equations: 0
% Current number of rules: 1541
% New rule produced :
% [1661] additive_inverse(c) <-> c multiply a multiply additive_inverse(b)
% Current number of equations to process: 3301
% Current number of ordered equations: 1
% Current number of rules: 1542
% New rule produced :
% [1662] c multiply a multiply additive_inverse(b) <-> additive_inverse(c)
% Current number of equations to process: 3301
% Current number of ordered equations: 0
% Current number of rules: 1543
% New rule produced :
% [1663] additive_inverse(c) <-> c multiply b multiply additive_inverse(b)
% Current number of equations to process: 3300
% Current number of ordered equations: 1
% Current number of rules: 1544
% New rule produced :
% [1664] c multiply b multiply additive_inverse(b) <-> additive_inverse(c)
% Current number of equations to process: 3300
% Current number of ordered equations: 0
% Current number of rules: 1545
% New rule produced :
% [1665] additive_inverse(c) <-> c multiply a multiply additive_inverse(a)
% Current number of equations to process: 3299
% Current number of ordered equations: 1
% Current number of rules: 1546
% New rule produced :
% [1666] c multiply a multiply additive_inverse(a) <-> additive_inverse(c)
% Current number of equations to process: 3299
% Current number of ordered equations: 0
% Current number of rules: 1547
% New rule produced :
% [1667] additive_inverse(c) <-> c multiply b multiply additive_inverse(a)
% Current number of equations to process: 3298
% Current number of ordered equations: 1
% Current number of rules: 1548
% New rule produced :
% [1668] c multiply b multiply additive_inverse(a) <-> additive_inverse(c)
% Current number of equations to process: 3298
% Current number of ordered equations: 0
% Current number of rules: 1549
% New rule produced :
% [1669] additive_inverse(c) <-> a multiply a multiply additive_inverse(b)
% Current number of equations to process: 3297
% Current number of ordered equations: 1
% Current number of rules: 1550
% New rule produced :
% [1670] a multiply a multiply additive_inverse(b) <-> additive_inverse(c)
% Current number of equations to process: 3297
% Current number of ordered equations: 0
% Current number of rules: 1551
% New rule produced :
% [1671] additive_inverse(c) <-> b multiply a multiply additive_inverse(b)
% Current number of equations to process: 3296
% Current number of ordered equations: 1
% Current number of rules: 1552
% New rule produced :
% [1672] b multiply a multiply additive_inverse(b) <-> additive_inverse(c)
% Current number of equations to process: 3296
% Current number of ordered equations: 0
% Current number of rules: 1553
% New rule produced :
% [1673] additive_inverse(c) <-> a multiply a multiply additive_inverse(c)
% Current number of equations to process: 3295
% Current number of ordered equations: 1
% Current number of rules: 1554
% New rule produced :
% [1674] a multiply a multiply additive_inverse(c) <-> additive_inverse(c)
% Current number of equations to process: 3295
% Current number of ordered equations: 0
% Current number of rules: 1555
% New rule produced :
% [1675] additive_inverse(c) <-> b multiply a multiply additive_inverse(c)
% Current number of equations to process: 3294
% Current number of ordered equations: 1
% Current number of rules: 1556
% New rule produced :
% [1676] b multiply a multiply additive_inverse(c) <-> additive_inverse(c)
% Current number of equations to process: 3294
% Current number of ordered equations: 0
% Current number of rules: 1557
% New rule produced :
% [1677] additive_inverse(c) <-> b multiply b multiply additive_inverse(c)
% Current number of equations to process: 3293
% Current number of ordered equations: 1
% Current number of rules: 1558
% New rule produced :
% [1678] b multiply b multiply additive_inverse(c) <-> additive_inverse(c)
% Current number of equations to process: 3293
% Current number of ordered equations: 0
% Current number of rules: 1559
% New rule produced :
% [1679] additive_inverse(c) <-> b multiply a multiply additive_inverse(a)
% Current number of equations to process: 3292
% Current number of ordered equations: 1
% Current number of rules: 1560
% New rule produced :
% [1680] b multiply a multiply additive_inverse(a) <-> additive_inverse(c)
% Current number of equations to process: 3292
% Current number of ordered equations: 0
% Current number of rules: 1561
% New rule produced :
% [1681] additive_inverse(c) <-> b multiply b multiply additive_inverse(a)
% Current number of equations to process: 3291
% Current number of ordered equations: 1
% Current number of rules: 1562
% New rule produced :
% [1682] b multiply b multiply additive_inverse(a) <-> additive_inverse(c)
% Current number of equations to process: 3291
% Current number of ordered equations: 0
% Current number of rules: 1563
% New rule produced :
% [1683]
% additive_inverse(Y) <-> additive_inverse(additive_identity multiply X) add Y
% Rule
% [1591]
% additive_inverse(X) <->
% additive_inverse(additive_identity multiply additive_identity) add X
% collapsed.
% Rule
% [1609]
% additive_inverse(additive_identity) <->
% additive_identity add additive_inverse(additive_identity multiply X)
% collapsed.
% Current number of equations to process: 3290
% Current number of ordered equations: 1
% Current number of rules: 1562
% New rule produced :
% [1684]
% additive_inverse(additive_identity multiply X) add Y <-> additive_inverse(Y)
% Rule
% [1592]
% additive_inverse(additive_identity multiply additive_identity) add X <->
% additive_inverse(X) collapsed.
% Rule
% [1610]
% additive_identity add additive_inverse(additive_identity multiply X) <->
% additive_inverse(additive_identity) collapsed.
% Current number of equations to process: 3290
% Current number of ordered equations: 0
% Current number of rules: 1561
% New rule produced :
% [1685] additive_inverse(Y) <-> additive_inverse(X add X) add Y
% Rule
% [1561]
% additive_inverse(additive_identity) <->
% additive_identity add additive_inverse(X add X) collapsed.
% Rule
% [1575]
% additive_inverse(X) <->
% additive_inverse(additive_identity add additive_identity) add X collapsed.
% Current number of equations to process: 3288
% Current number of ordered equations: 1
% Current number of rules: 1560
% New rule produced :
% [1686] additive_inverse(X add X) add Y <-> additive_inverse(Y)
% Rule
% [1563]
% additive_identity add additive_inverse(X add X) <->
% additive_inverse(additive_identity) collapsed.
% Rule
% [1576]
% additive_inverse(additive_identity add additive_identity) add X <->
% additive_inverse(X) collapsed.
% Current number of equations to process: 3288
% Current number of ordered equations: 0
% Current number of rules: 1559
% New rule produced :
% [1687]
% additive_inverse(additive_identity) <-> additive_inverse(X add X) multiply Y
% Rule
% [1577]
% additive_inverse(additive_identity) <->
% additive_inverse(additive_identity add additive_identity) multiply X
% collapsed.
% Current number of equations to process: 3287
% Current number of ordered equations: 1
% Current number of rules: 1559
% New rule produced :
% [1688]
% additive_inverse(X add X) multiply Y <-> additive_inverse(additive_identity)
% Rule
% [1578]
% additive_inverse(additive_identity add additive_identity) multiply X <->
% additive_inverse(additive_identity) collapsed.
% Current number of equations to process: 3287
% Current number of ordered equations: 0
% Current number of rules: 1559
% New rule produced :
% [1689]
% additive_inverse(Y) <->
% (additive_inverse(additive_identity) multiply X) add Y
% Current number of equations to process: 3286
% Current number of ordered equations: 1
% Current number of rules: 1560
% New rule produced :
% [1690]
% (additive_inverse(additive_identity) multiply X) add Y <->
% additive_inverse(Y)
% Current number of equations to process: 3286
% Current number of ordered equations: 0
% Current number of rules: 1561
% New rule produced :
% [1691] additive_inverse(additive_identity add X) <-> X add X add X
% Current number of equations to process: 3281
% Current number of ordered equations: 7
% Current number of rules: 1562
% New rule produced :
% [1692]
% additive_inverse(X add X) <->
% additive_identity add additive_identity add additive_identity
% Current number of equations to process: 3281
% Current number of ordered equations: 6
% Current number of rules: 1563
% New rule produced :
% [1693] additive_identity add additive_inverse(X) <-> X add X add X
% Current number of equations to process: 3281
% Current number of ordered equations: 5
% Current number of rules: 1564
% New rule produced :
% [1694]
% additive_inverse(X) add X <->
% additive_identity add additive_identity add additive_identity
% Current number of equations to process: 3281
% Current number of ordered equations: 4
% Current number of rules: 1565
% New rule produced :
% [1695] X add X add X <-> additive_inverse(additive_identity add X)
% Current number of equations to process: 3281
% Current number of ordered equations: 3
% Current number of rules: 1566
% New rule produced :
% [1696] X add X add X <-> additive_identity add additive_inverse(X)
% Current number of equations to process: 3281
% Current number of ordered equations: 2
% Current number of rules: 1567
% New rule produced :
% [1697]
% additive_identity add additive_identity add additive_identity <->
% additive_inverse(X add X)
% Current number of equations to process: 3281
% Current number of ordered equations: 1
% Current number of rules: 1568
% New rule produced :
% [1698]
% additive_identity add additive_identity add additive_identity <->
% additive_inverse(X) add X
% Current number of equations to process: 3281
% Current number of ordered equations: 0
% Current number of rules: 1569
% New rule produced :
% [1699]
% additive_inverse(additive_identity add X) <->
% (additive_identity multiply X) add X
% Current number of equations to process: 3277
% Current number of ordered equations: 7
% Current number of rules: 1570
% New rule produced :
% [1700]
% additive_inverse(X add X) <->
% additive_identity add (additive_identity multiply additive_identity)
% Current number of equations to process: 3277
% Current number of ordered equations: 6
% Current number of rules: 1571
% New rule produced :
% [1701]
% additive_identity add additive_inverse(X) <->
% (additive_identity multiply X) add X
% Current number of equations to process: 3277
% Current number of ordered equations: 5
% Current number of rules: 1572
% New rule produced :
% [1702]
% additive_identity add (additive_identity multiply additive_identity) <->
% additive_inverse(X add X)
% Current number of equations to process: 3277
% Current number of ordered equations: 4
% Current number of rules: 1573
% New rule produced :
% [1703]
% additive_identity add (additive_identity multiply additive_identity) <->
% additive_inverse(X) add X
% Current number of equations to process: 3277
% Current number of ordered equations: 3
% Current number of rules: 1574
% New rule produced :
% [1704]
% additive_inverse(X) add X <->
% additive_identity add (additive_identity multiply additive_identity)
% Current number of equations to process: 3277
% Current number of ordered equations: 2
% Current number of rules: 1575
% New rule produced :
% [1705]
% (additive_identity multiply X) add X <->
% additive_inverse(additive_identity add X)
% Current number of equations to process: 3277
% Current number of ordered equations: 1
% Current number of rules: 1576
% New rule produced :
% [1706]
% (additive_identity multiply X) add X <->
% additive_identity add additive_inverse(X)
% Current number of equations to process: 3277
% Current number of ordered equations: 0
% Current number of rules: 1577
% New rule produced :
% [1707]
% additive_inverse(additive_identity multiply X) <->
% additive_identity add X add X
% Current number of equations to process: 3276
% Current number of ordered equations: 1
% Current number of rules: 1578
% New rule produced :
% [1708]
% additive_identity add X add X <->
% additive_inverse(additive_identity multiply X)
% Current number of equations to process: 3276
% Current number of ordered equations: 0
% Current number of rules: 1579
% New rule produced :
% [1709]
% additive_identity add (X multiply X) <->
% additive_inverse(additive_identity) add X
% Current number of equations to process: 3274
% Current number of ordered equations: 3
% Current number of rules: 1580
% New rule produced :
% [1710]
% additive_identity add additive_inverse(additive_identity) <->
% (X multiply X) add X
% Current number of equations to process: 3274
% Current number of ordered equations: 2
% Current number of rules: 1581
% New rule produced :
% [1711]
% (X multiply X) add X <->
% additive_identity add additive_inverse(additive_identity)
% Current number of equations to process: 3274
% Current number of ordered equations: 1
% Current number of rules: 1582
% New rule produced :
% [1712]
% additive_inverse(additive_identity) add X <->
% additive_identity add (X multiply X)
% Current number of equations to process: 3274
% Current number of ordered equations: 0
% Current number of rules: 1583
% New rule produced : [1713] additive_inverse(X add Y) <-> (X multiply X) add Y
% Current number of equations to process: 3272
% Current number of ordered equations: 3
% Current number of rules: 1584
% New rule produced : [1714] additive_inverse(X) add Y <-> (Y multiply Y) add X
% Rule
% [1712]
% additive_inverse(additive_identity) add X <->
% additive_identity add (X multiply X) collapsed.
% Current number of equations to process: 3272
% Current number of ordered equations: 2
% Current number of rules: 1584
% New rule produced : [1715] (X multiply X) add Y <-> additive_inverse(X add Y)
% Current number of equations to process: 3272
% Current number of ordered equations: 1
% Current number of rules: 1585
% New rule produced : [1716] (Y multiply Y) add X <-> additive_inverse(X) add Y
% Rule
% [1709]
% additive_identity add (X multiply X) <->
% additive_inverse(additive_identity) add X collapsed.
% Current number of equations to process: 3272
% Current number of ordered equations: 0
% Current number of rules: 1585
% New rule produced :
% [1717]
% additive_identity add additive_inverse(additive_identity) <->
% c add (c multiply a)
% Current number of equations to process: 3267
% Current number of ordered equations: 3
% Current number of rules: 1586
% New rule produced :
% [1718]
% additive_identity add (c multiply a) <->
% c add additive_inverse(additive_identity)
% Current number of equations to process: 3267
% Current number of ordered equations: 2
% Current number of rules: 1587
% New rule produced :
% [1719]
% c add additive_inverse(additive_identity) <->
% additive_identity add (c multiply a)
% Current number of equations to process: 3267
% Current number of ordered equations: 1
% Current number of rules: 1588
% New rule produced :
% [1720]
% c add (c multiply a) <->
% additive_identity add additive_inverse(additive_identity)
% Current number of equations to process: 3267
% Current number of ordered equations: 0
% Current number of rules: 1589
% New rule produced : [1721] additive_inverse(c add X) <-> (c multiply a) add X
% Current number of equations to process: 3265
% Current number of ordered equations: 3
% Current number of rules: 1590
% New rule produced : [1722] c add additive_inverse(X) <-> (c multiply a) add X
% Rule
% [1719]
% c add additive_inverse(additive_identity) <->
% additive_identity add (c multiply a) collapsed.
% Current number of equations to process: 3265
% Current number of ordered equations: 2
% Current number of rules: 1590
% New rule produced : [1723] (c multiply a) add X <-> additive_inverse(c add X)
% Current number of equations to process: 3265
% Current number of ordered equations: 1
% Current number of rules: 1591
% New rule produced : [1724] (c multiply a) add X <-> c add additive_inverse(X)
% Rule
% [1718]
% additive_identity add (c multiply a) <->
% c add additive_inverse(additive_identity) collapsed.
% Current number of equations to process: 3265
% Current number of ordered equations: 0
% Current number of rules: 1591
% New rule produced :
% [1725]
% additive_identity add additive_inverse(additive_identity) <->
% c add (c multiply b)
% Current number of equations to process: 3263
% Current number of ordered equations: 3
% Current number of rules: 1592
% New rule produced :
% [1726]
% additive_identity add (c multiply b) <->
% c add additive_inverse(additive_identity)
% Current number of equations to process: 3263
% Current number of ordered equations: 2
% Current number of rules: 1593
% New rule produced :
% [1727]
% c add additive_inverse(additive_identity) <->
% additive_identity add (c multiply b)
% Current number of equations to process: 3263
% Current number of ordered equations: 1
% Current number of rules: 1594
% New rule produced :
% [1728]
% c add (c multiply b) <->
% additive_identity add additive_inverse(additive_identity)
% Current number of equations to process: 3263
% Current number of ordered equations: 0
% Current number of rules: 1595
% New rule produced : [1729] additive_inverse(c add X) <-> (c multiply b) add X
% Current number of equations to process: 3261
% Current number of ordered equations: 3
% Current number of rules: 1596
% New rule produced : [1730] c add additive_inverse(X) <-> (c multiply b) add X
% Rule
% [1727]
% c add additive_inverse(additive_identity) <->
% additive_identity add (c multiply b) collapsed.
% Current number of equations to process: 3261
% Current number of ordered equations: 2
% Current number of rules: 1596
% New rule produced : [1731] (c multiply b) add X <-> additive_inverse(c add X)
% Current number of equations to process: 3261
% Current number of ordered equations: 1
% Current number of rules: 1597
% New rule produced : [1732] (c multiply b) add X <-> c add additive_inverse(X)
% Rule
% [1726]
% additive_identity add (c multiply b) <->
% c add additive_inverse(additive_identity) collapsed.
% Current number of equations to process: 3261
% Current number of ordered equations: 0
% Current number of rules: 1597
% New rule produced :
% [1733]
% additive_identity add (b multiply a) <->
% c add additive_inverse(additive_identity)
% Current number of equations to process: 3259
% Current number of ordered equations: 3
% Current number of rules: 1598
% New rule produced :
% [1734]
% additive_identity add additive_inverse(additive_identity) <->
% c add (b multiply a)
% Current number of equations to process: 3259
% Current number of ordered equations: 2
% Current number of rules: 1599
% New rule produced :
% [1735]
% c add (b multiply a) <->
% additive_identity add additive_inverse(additive_identity)
% Current number of equations to process: 3259
% Current number of ordered equations: 1
% Current number of rules: 1600
% New rule produced :
% [1736]
% c add additive_inverse(additive_identity) <->
% additive_identity add (b multiply a)
% Current number of equations to process: 3259
% Current number of ordered equations: 0
% Current number of rules: 1601
% New rule produced : [1737] additive_inverse(c add X) <-> (b multiply a) add X
% Current number of equations to process: 3257
% Current number of ordered equations: 3
% Current number of rules: 1602
% New rule produced : [1738] c add additive_inverse(X) <-> (b multiply a) add X
% Rule
% [1736]
% c add additive_inverse(additive_identity) <->
% additive_identity add (b multiply a) collapsed.
% Current number of equations to process: 3257
% Current number of ordered equations: 2
% Current number of rules: 1602
% New rule produced : [1739] (b multiply a) add X <-> additive_inverse(c add X)
% Current number of equations to process: 3257
% Current number of ordered equations: 1
% Current number of rules: 1603
% New rule produced : [1740] (b multiply a) add X <-> c add additive_inverse(X)
% Rule
% [1733]
% additive_identity add (b multiply a) <->
% c add additive_inverse(additive_identity) collapsed.
% Current number of equations to process: 3257
% Current number of ordered equations: 0
% Current number of rules: 1603
% New rule produced :
% [1741]
% additive_identity add (additive_identity multiply X) <->
% additive_inverse(additive_identity) multiply X
% Current number of equations to process: 3255
% Current number of ordered equations: 1
% Current number of rules: 1604
% New rule produced :
% [1742]
% additive_inverse(additive_identity) multiply X <->
% additive_identity add (additive_identity multiply X)
% Current number of equations to process: 3255
% Current number of ordered equations: 0
% Current number of rules: 1605
% New rule produced :
% [1743]
% c multiply additive_inverse(c) <-> (c add additive_identity) multiply a
% Current number of equations to process: 3253
% Current number of ordered equations: 3
% Current number of rules: 1606
% New rule produced :
% [1744]
% a multiply additive_inverse(c) <-> (a add additive_identity) multiply c
% Current number of equations to process: 3253
% Current number of ordered equations: 2
% Current number of rules: 1607
% New rule produced :
% [1745]
% (c add additive_identity) multiply a <-> c multiply additive_inverse(c)
% Current number of equations to process: 3253
% Current number of ordered equations: 1
% Current number of rules: 1608
% New rule produced :
% [1746]
% (a add additive_identity) multiply c <-> a multiply additive_inverse(c)
% Current number of equations to process: 3253
% Current number of ordered equations: 0
% Current number of rules: 1609
% New rule produced :
% [1747]
% c multiply additive_inverse(c) <-> (c add additive_identity) multiply b
% Current number of equations to process: 3251
% Current number of ordered equations: 3
% Current number of rules: 1610
% New rule produced :
% [1748]
% b multiply additive_inverse(c) <-> (b add additive_identity) multiply c
% Current number of equations to process: 3251
% Current number of ordered equations: 2
% Current number of rules: 1611
% New rule produced :
% [1749]
% (c add additive_identity) multiply b <-> c multiply additive_inverse(c)
% Current number of equations to process: 3251
% Current number of ordered equations: 1
% Current number of rules: 1612
% New rule produced :
% [1750]
% (b add additive_identity) multiply c <-> b multiply additive_inverse(c)
% Current number of equations to process: 3251
% Current number of ordered equations: 0
% Current number of rules: 1613
% New rule produced :
% [1751]
% a multiply additive_inverse(c) <-> (a add additive_identity) multiply b
% Current number of equations to process: 3249
% Current number of ordered equations: 3
% Current number of rules: 1614
% New rule produced :
% [1752]
% b multiply additive_inverse(c) <-> (b add additive_identity) multiply a
% Current number of equations to process: 3249
% Current number of ordered equations: 2
% Current number of rules: 1615
% New rule produced :
% [1753]
% (a add additive_identity) multiply b <-> a multiply additive_inverse(c)
% Current number of equations to process: 3249
% Current number of ordered equations: 1
% Current number of rules: 1616
% New rule produced :
% [1754]
% (b add additive_identity) multiply a <-> b multiply additive_inverse(c)
% Current number of equations to process: 3249
% Current number of ordered equations: 0
% Current number of rules: 1617
% New rule produced :
% [1755]
% additive_inverse(additive_identity multiply X) <-> (X add X) multiply X
% Current number of equations to process: 3248
% Current number of ordered equations: 1
% Current number of rules: 1618
% New rule produced :
% [1756]
% (X add X) multiply X <-> additive_inverse(additive_identity multiply X)
% Current number of equations to process: 3248
% Current number of ordered equations: 0
% Current number of rules: 1619
% New rule produced :
% [1757]
% additive_inverse(additive_identity) multiply X <-> (Y add Y) multiply Y
% Current number of equations to process: 3247
% Current number of ordered equations: 1
% Current number of rules: 1620
% New rule produced :
% [1758]
% (Y add Y) multiply Y <-> additive_inverse(additive_identity) multiply X
% Current number of equations to process: 3247
% Current number of ordered equations: 0
% Current number of rules: 1621
% New rule produced :
% [1759] c multiply a multiply a <-> c multiply additive_inverse(c)
% Current number of equations to process: 3246
% Current number of ordered equations: 1
% Current number of rules: 1622
% New rule produced :
% [1760] c multiply additive_inverse(c) <-> c multiply a multiply a
% Current number of equations to process: 3246
% Current number of ordered equations: 0
% Current number of rules: 1623
% New rule produced :
% [1761] c multiply b multiply b <-> c multiply additive_inverse(c)
% Current number of equations to process: 3245
% Current number of ordered equations: 1
% Current number of rules: 1624
% New rule produced :
% [1762] c multiply additive_inverse(c) <-> c multiply b multiply b
% Current number of equations to process: 3245
% Current number of ordered equations: 0
% Current number of rules: 1625
% New rule produced :
% [1763] b multiply a multiply a <-> c multiply additive_inverse(c)
% Current number of equations to process: 3244
% Current number of ordered equations: 1
% Current number of rules: 1626
% New rule produced :
% [1764] c multiply additive_inverse(c) <-> b multiply a multiply a
% Current number of equations to process: 3244
% Current number of ordered equations: 0
% Current number of rules: 1627
% New rule produced :
% [1765] b multiply b multiply a <-> c multiply additive_inverse(c)
% Current number of equations to process: 3243
% Current number of ordered equations: 1
% Current number of rules: 1628
% New rule produced :
% [1766] c multiply additive_inverse(c) <-> b multiply b multiply a
% Current number of equations to process: 3243
% Current number of ordered equations: 0
% Current number of rules: 1629
% New rule produced :
% [1767]
% c multiply additive_inverse(a) <-> (c add additive_identity) multiply a
% Current number of equations to process: 3241
% Current number of ordered equations: 3
% Current number of rules: 1630
% New rule produced :
% [1768]
% a multiply additive_inverse(c) <-> (c add additive_identity) multiply c
% Current number of equations to process: 3241
% Current number of ordered equations: 2
% Current number of rules: 1631
% New rule produced :
% [1769]
% (c add additive_identity) multiply c <-> a multiply additive_inverse(c)
% Current number of equations to process: 3241
% Current number of ordered equations: 1
% Current number of rules: 1632
% New rule produced :
% [1770]
% (c add additive_identity) multiply a <-> c multiply additive_inverse(a)
% Current number of equations to process: 3241
% Current number of ordered equations: 0
% Current number of rules: 1633
% New rule produced :
% [1771]
% a multiply additive_inverse(c) <-> (c add additive_identity) multiply b
% Current number of equations to process: 3240
% Current number of ordered equations: 1
% Current number of rules: 1634
% New rule produced :
% [1772]
% (c add additive_identity) multiply b <-> a multiply additive_inverse(c)
% Current number of equations to process: 3240
% Current number of ordered equations: 0
% Current number of rules: 1635
% New rule produced :
% [1773] c multiply c multiply c <-> a multiply additive_inverse(c)
% Current number of equations to process: 3237
% Current number of ordered equations: 3
% Current number of rules: 1636
% New rule produced :
% [1774] c multiply c multiply a <-> c multiply additive_inverse(a)
% Current number of equations to process: 3237
% Current number of ordered equations: 2
% Current number of rules: 1637
% New rule produced :
% [1775] c multiply additive_inverse(a) <-> c multiply c multiply a
% Current number of equations to process: 3237
% Current number of ordered equations: 1
% Current number of rules: 1638
% New rule produced :
% [1776] a multiply additive_inverse(c) <-> c multiply c multiply c
% Current number of equations to process: 3237
% Current number of ordered equations: 0
% Current number of rules: 1639
% New rule produced :
% [1777] c multiply c multiply b <-> a multiply additive_inverse(c)
% Current number of equations to process: 3236
% Current number of ordered equations: 1
% Current number of rules: 1640
% New rule produced :
% [1778] a multiply additive_inverse(c) <-> c multiply c multiply b
% Current number of equations to process: 3236
% Current number of ordered equations: 0
% Current number of rules: 1641
% New rule produced :
% [1779] c multiply b multiply a <-> c multiply additive_inverse(a)
% Current number of equations to process: 3234
% Current number of ordered equations: 1
% Current number of rules: 1642
% New rule produced :
% [1780] c multiply additive_inverse(a) <-> c multiply b multiply a
% Current number of equations to process: 3234
% Current number of ordered equations: 0
% Current number of rules: 1643
% New rule produced :
% [1781] c multiply b multiply b <-> a multiply additive_inverse(c)
% Current number of equations to process: 3233
% Current number of ordered equations: 1
% Current number of rules: 1644
% New rule produced :
% [1782] a multiply additive_inverse(c) <-> c multiply b multiply b
% Current number of equations to process: 3233
% Current number of ordered equations: 0
% Current number of rules: 1645
% New rule produced :
% [1783] b multiply a multiply a <-> c multiply additive_inverse(a)
% Current number of equations to process: 3231
% Current number of ordered equations: 1
% Current number of rules: 1646
% New rule produced :
% [1784] c multiply additive_inverse(a) <-> b multiply a multiply a
% Current number of equations to process: 3231
% Current number of ordered equations: 0
% Current number of rules: 1647
% New rule produced :
% [1785] b multiply b multiply a <-> a multiply additive_inverse(c)
% Current number of equations to process: 3230
% Current number of ordered equations: 1
% Current number of rules: 1648
% New rule produced :
% [1786] a multiply additive_inverse(c) <-> b multiply b multiply a
% Current number of equations to process: 3230
% Current number of ordered equations: 0
% Current number of rules: 1649
% New rule produced :
% [1787]
% c multiply additive_inverse(b) <-> (c add additive_identity) multiply b
% Current number of equations to process: 3227
% Current number of ordered equations: 3
% Current number of rules: 1650
% New rule produced :
% [1788]
% b multiply additive_inverse(c) <-> (c add additive_identity) multiply c
% Current number of equations to process: 3227
% Current number of ordered equations: 2
% Current number of rules: 1651
% New rule produced :
% [1789]
% (c add additive_identity) multiply c <-> b multiply additive_inverse(c)
% Current number of equations to process: 3227
% Current number of ordered equations: 1
% Current number of rules: 1652
% New rule produced :
% [1790]
% (c add additive_identity) multiply b <-> c multiply additive_inverse(b)
% Current number of equations to process: 3227
% Current number of ordered equations: 0
% Current number of rules: 1653
% New rule produced :
% [1791]
% b multiply additive_inverse(c) <-> (c add additive_identity) multiply a
% Current number of equations to process: 3226
% Current number of ordered equations: 1
% Current number of rules: 1654
% New rule produced :
% [1792]
% (c add additive_identity) multiply a <-> b multiply additive_inverse(c)
% Current number of equations to process: 3226
% Current number of ordered equations: 0
% Current number of rules: 1655
% New rule produced :
% [1793] c multiply c multiply c <-> b multiply additive_inverse(c)
% Current number of equations to process: 3223
% Current number of ordered equations: 3
% Current number of rules: 1656
% New rule produced :
% [1794] c multiply c multiply b <-> c multiply additive_inverse(b)
% Current number of equations to process: 3223
% Current number of ordered equations: 2
% Current number of rules: 1657
% New rule produced :
% [1795] c multiply additive_inverse(b) <-> c multiply c multiply b
% Current number of equations to process: 3223
% Current number of ordered equations: 1
% Current number of rules: 1658
% New rule produced :
% [1796] b multiply additive_inverse(c) <-> c multiply c multiply c
% Current number of equations to process: 3223
% Current number of ordered equations: 0
% Current number of rules: 1659
% New rule produced :
% [1797] c multiply c multiply a <-> b multiply additive_inverse(c)
% Current number of equations to process: 3221
% Current number of ordered equations: 3
% Current number of rules: 1660
% New rule produced :
% [1798] c multiply b multiply a <-> c multiply additive_inverse(b)
% Current number of equations to process: 3221
% Current number of ordered equations: 2
% Current number of rules: 1661
% New rule produced :
% [1799] c multiply additive_inverse(b) <-> c multiply b multiply a
% Current number of equations to process: 3221
% Current number of ordered equations: 1
% Current number of rules: 1662
% New rule produced :
% [1800] b multiply additive_inverse(c) <-> c multiply c multiply a
% Current number of equations to process: 3221
% Current number of ordered equations: 0
% Current number of rules: 1663
% New rule produced :
% [1801] c multiply a multiply a <-> b multiply additive_inverse(c)
% Current number of equations to process: 3220
% Current number of ordered equations: 1
% Current number of rules: 1664
% New rule produced :
% [1802] b multiply additive_inverse(c) <-> c multiply a multiply a
% Current number of equations to process: 3220
% Current number of ordered equations: 0
% Current number of rules: 1665
% New rule produced :
% [1803] b multiply b multiply a <-> c multiply additive_inverse(b)
% Current number of equations to process: 3218
% Current number of ordered equations: 1
% Current number of rules: 1666
% New rule produced :
% [1804] c multiply additive_inverse(b) <-> b multiply b multiply a
% Current number of equations to process: 3218
% Current number of ordered equations: 0
% Current number of rules: 1667
% New rule produced :
% [1805] b multiply a multiply a <-> b multiply additive_inverse(c)
% Current number of equations to process: 3217
% Current number of ordered equations: 1
% Current number of rules: 1668
% New rule produced :
% [1806] b multiply additive_inverse(c) <-> b multiply a multiply a
% Current number of equations to process: 3217
% Current number of ordered equations: 0
% Current number of rules: 1669
% New rule produced :
% [1807]
% c multiply additive_inverse(b) <->
% a multiply additive_inverse(additive_inverse(b))
% Current number of equations to process: 3215
% Current number of ordered equations: 1
% Current number of rules: 1670
% New rule produced :
% [1808]
% a multiply additive_inverse(additive_inverse(b)) <->
% c multiply additive_inverse(b)
% Current number of equations to process: 3215
% Current number of ordered equations: 0
% Current number of rules: 1671
% New rule produced :
% [1809]
% c multiply additive_inverse(c) <->
% a multiply additive_inverse(additive_inverse(c))
% Current number of equations to process: 3214
% Current number of ordered equations: 1
% Current number of rules: 1672
% New rule produced :
% [1810]
% a multiply additive_inverse(additive_inverse(c)) <->
% c multiply additive_inverse(c)
% Current number of equations to process: 3214
% Current number of ordered equations: 0
% Current number of rules: 1673
% New rule produced :
% [1811]
% a multiply additive_inverse(b) <-> (c add additive_identity) multiply b
% Current number of equations to process: 3212
% Current number of ordered equations: 3
% Current number of rules: 1674
% New rule produced :
% [1812]
% b multiply additive_inverse(a) <-> (c add additive_identity) multiply a
% Current number of equations to process: 3212
% Current number of ordered equations: 2
% Current number of rules: 1675
% New rule produced :
% [1813]
% (c add additive_identity) multiply a <-> b multiply additive_inverse(a)
% Current number of equations to process: 3212
% Current number of ordered equations: 1
% Current number of rules: 1676
% New rule produced :
% [1814]
% (c add additive_identity) multiply b <-> a multiply additive_inverse(b)
% Current number of equations to process: 3212
% Current number of ordered equations: 0
% Current number of rules: 1677
% New rule produced :
% [1815] c multiply c multiply a <-> b multiply additive_inverse(a)
% Current number of equations to process: 3208
% Current number of ordered equations: 3
% Current number of rules: 1678
% New rule produced :
% [1816] c multiply c multiply b <-> a multiply additive_inverse(b)
% Current number of equations to process: 3208
% Current number of ordered equations: 2
% Current number of rules: 1679
% New rule produced :
% [1817] a multiply additive_inverse(b) <-> c multiply c multiply b
% Current number of equations to process: 3208
% Current number of ordered equations: 1
% Current number of rules: 1680
% New rule produced :
% [1818] b multiply additive_inverse(a) <-> c multiply c multiply a
% Current number of equations to process: 3208
% Current number of ordered equations: 0
% Current number of rules: 1681
% New rule produced :
% [1819] c multiply a multiply a <-> b multiply additive_inverse(a)
% Current number of equations to process: 3205
% Current number of ordered equations: 1
% Current number of rules: 1682
% New rule produced :
% [1820] b multiply additive_inverse(a) <-> c multiply a multiply a
% Current number of equations to process: 3205
% Current number of ordered equations: 0
% Current number of rules: 1683
% New rule produced :
% [1821] c multiply b multiply b <-> a multiply additive_inverse(b)
% Current number of equations to process: 3203
% Current number of ordered equations: 1
% Current number of rules: 1684
% New rule produced :
% [1822] a multiply additive_inverse(b) <-> c multiply b multiply b
% Current number of equations to process: 3203
% Current number of ordered equations: 0
% Current number of rules: 1685
% New rule produced :
% [1823]
% c multiply additive_inverse(c) <->
% b multiply additive_inverse(additive_inverse(c))
% Current number of equations to process: 3201
% Current number of ordered equations: 1
% Current number of rules: 1686
% New rule produced :
% [1824]
% b multiply additive_inverse(additive_inverse(c)) <->
% c multiply additive_inverse(c)
% Current number of equations to process: 3201
% Current number of ordered equations: 0
% Current number of rules: 1687
% New rule produced :
% [1825]
% c multiply additive_inverse(a) <->
% b multiply additive_inverse(additive_inverse(a))
% Current number of equations to process: 3200
% Current number of ordered equations: 1
% Current number of rules: 1688
% New rule produced :
% [1826]
% b multiply additive_inverse(additive_inverse(a)) <->
% c multiply additive_inverse(a)
% Current number of equations to process: 3200
% Current number of ordered equations: 0
% Current number of rules: 1689
% New rule produced :
% [1827]
% additive_inverse(additive_inverse(X) add X) <-> additive_inverse(Y) add Y
% Current number of equations to process: 3199
% Current number of ordered equations: 1
% Current number of rules: 1690
% New rule produced :
% [1828]
% additive_inverse(Y) add Y <-> additive_inverse(additive_inverse(X) add X)
% Current number of equations to process: 3199
% Current number of ordered equations: 0
% Current number of rules: 1691
% New rule produced :
% [1829]
% additive_inverse(additive_inverse(additive_inverse(additive_identity))) <->
% additive_inverse(X) add X
% Current number of equations to process: 3312
% Current number of ordered equations: 1
% Current number of rules: 1692
% New rule produced :
% [1830]
% additive_inverse(X) add X <->
% additive_inverse(additive_inverse(additive_inverse(additive_identity)))
% Current number of equations to process: 3312
% Current number of ordered equations: 0
% Current number of rules: 1693
% New rule produced :
% [1831]
% additive_inverse(additive_identity) <->
% additive_inverse(additive_inverse(X)) add X
% Current number of equations to process: 3311
% Current number of ordered equations: 1
% Current number of rules: 1694
% New rule produced :
% [1832]
% additive_inverse(additive_inverse(X)) add X <->
% additive_inverse(additive_identity)
% Current number of equations to process: 3311
% Current number of ordered equations: 0
% Current number of rules: 1695
% New rule produced :
% [1833]
% additive_inverse(additive_inverse(additive_identity add additive_identity))
% <-> additive_inverse(X) add X
% Current number of equations to process: 3310
% Current number of ordered equations: 1
% Current number of rules: 1696
% New rule produced :
% [1834]
% additive_inverse(X) add X <->
% additive_inverse(additive_inverse(additive_identity add additive_identity))
% Current number of equations to process: 3310
% Current number of ordered equations: 0
% Current number of rules: 1697
% New rule produced :
% [1835]
% additive_inverse(additive_inverse(additive_identity multiply additive_identity))
% <-> additive_inverse(X) add X
% Current number of equations to process: 3309
% Current number of ordered equations: 1
% Current number of rules: 1698
% New rule produced :
% [1836]
% additive_inverse(X) add X <->
% additive_inverse(additive_inverse(additive_identity multiply additive_identity))
% Current number of equations to process: 3309
% Current number of ordered equations: 0
% Current number of rules: 1699
% New rule produced :
% [1837]
% additive_identity add additive_inverse(additive_inverse(additive_identity))
% <-> additive_inverse(X) add X
% Current number of equations to process: 3308
% Current number of ordered equations: 1
% Current number of rules: 1700
% New rule produced :
% [1838]
% additive_inverse(X) add X <->
% additive_identity add additive_inverse(additive_inverse(additive_identity))
% Current number of equations to process: 3308
% Current number of ordered equations: 0
% Current number of rules: 1701
% New rule produced :
% [1839]
% additive_inverse(additive_inverse(additive_identity multiply X)) <->
% additive_inverse(Y) add Y
% Rule
% [1835]
% additive_inverse(additive_inverse(additive_identity multiply additive_identity))
% <-> additive_inverse(X) add X collapsed.
% Current number of equations to process: 3307
% Current number of ordered equations: 1
% Current number of rules: 1701
% New rule produced :
% [1840]
% additive_inverse(Y) add Y <->
% additive_inverse(additive_inverse(additive_identity multiply X))
% Rule
% [1836]
% additive_inverse(X) add X <->
% additive_inverse(additive_inverse(additive_identity multiply additive_identity))
% collapsed.
% Current number of equations to process: 3307
% Current number of ordered equations: 0
% Current number of rules: 1701
% New rule produced :
% [1841]
% additive_inverse(additive_inverse(X add X)) <-> additive_inverse(Y) add Y
% Rule
% [1833]
% additive_inverse(additive_inverse(additive_identity add additive_identity))
% <-> additive_inverse(X) add X collapsed.
% Current number of equations to process: 3306
% Current number of ordered equations: 1
% Current number of rules: 1701
% New rule produced :
% [1842]
% additive_inverse(Y) add Y <-> additive_inverse(additive_inverse(X add X))
% Rule
% [1834]
% additive_inverse(X) add X <->
% additive_inverse(additive_inverse(additive_identity add additive_identity))
% collapsed.
% Current number of equations to process: 3306
% Current number of ordered equations: 0
% Current number of rules: 1701
% New rule produced :
% [1843]
% additive_inverse(additive_inverse(additive_identity) multiply X) <->
% additive_inverse(Y) add Y
% Current number of equations to process: 3305
% Current number of ordered equations: 1
% Current number of rules: 1702
% New rule produced :
% [1844]
% additive_inverse(Y) add Y <->
% additive_inverse(additive_inverse(additive_identity) multiply X)
% Current number of equations to process: 3305
% Current number of ordered equations: 0
% Current number of rules: 1703
% New rule produced :
% [1845]
% additive_identity add additive_inverse(additive_inverse(X)) <->
% additive_inverse(additive_identity) add X
% Current number of equations to process: 3304
% Current number of ordered equations: 1
% Current number of rules: 1704
% New rule produced :
% [1846]
% additive_inverse(additive_identity) add X <->
% additive_identity add additive_inverse(additive_inverse(X))
% Current number of equations to process: 3304
% Current number of ordered equations: 0
% Current number of rules: 1705
% New rule produced :
% [1847] additive_inverse(additive_identity) <-> (X multiply X) add X
% Current number of equations to process: 3697
% Current number of ordered equations: 1
% Current number of rules: 1706
% New rule produced :
% [1848] (X multiply X) add X <-> additive_inverse(additive_identity)
% Current number of equations to process: 3697
% Current number of ordered equations: 0
% Current number of rules: 1707
% New rule produced :
% [1849] additive_inverse(additive_identity) <-> c add (c multiply a)
% Current number of equations to process: 3696
% Current number of ordered equations: 1
% Current number of rules: 1708
% New rule produced :
% [1850] c add (c multiply a) <-> additive_inverse(additive_identity)
% Current number of equations to process: 3696
% Current number of ordered equations: 0
% Current number of rules: 1709
% New rule produced :
% [1851] additive_inverse(additive_identity) <-> c add (c multiply b)
% Current number of equations to process: 3695
% Current number of ordered equations: 1
% Current number of rules: 1710
% New rule produced :
% [1852] c add (c multiply b) <-> additive_inverse(additive_identity)
% Current number of equations to process: 3695
% Current number of ordered equations: 0
% Current number of rules: 1711
% New rule produced :
% [1853] additive_inverse(additive_identity) <-> c add (b multiply a)
% Current number of equations to process: 3694
% Current number of ordered equations: 1
% Current number of rules: 1712
% New rule produced :
% [1854] c add (b multiply a) <-> additive_inverse(additive_identity)
% Current number of equations to process: 3694
% Current number of ordered equations: 0
% Current number of rules: 1713
% New rule produced : [1855] additive_inverse(X) <-> X multiply X multiply X
% Current number of equations to process: 3689
% Current number of ordered equations: 1
% Current number of rules: 1714
% New rule produced : [1856] X multiply X multiply X <-> additive_inverse(X)
% Current number of equations to process: 3689
% Current number of ordered equations: 0
% Current number of rules: 1715
% New rule produced :
% [1857] X multiply X multiply X <-> additive_identity add X
% Current number of equations to process: 3688
% Current number of ordered equations: 1
% Current number of rules: 1716
% New rule produced :
% [1858] additive_identity add X <-> X multiply X multiply X
% Current number of equations to process: 3688
% Current number of ordered equations: 0
% Current number of rules: 1717
% New rule produced :
% [1859]
% additive_inverse(additive_identity) <->
% additive_inverse(additive_inverse(additive_inverse(X))) add X
% Current number of equations to process: 3687
% Current number of ordered equations: 1
% Current number of rules: 1718
% New rule produced :
% [1860]
% additive_inverse(additive_inverse(additive_inverse(X))) add X <->
% additive_inverse(additive_identity)
% Current number of equations to process: 3687
% Current number of ordered equations: 0
% Current number of rules: 1719
% New rule produced :
% [1861]
% additive_identity add additive_inverse(additive_identity) <->
% additive_inverse(additive_inverse(X)) add X
% Current number of equations to process: 3686
% Current number of ordered equations: 1
% Current number of rules: 1720
% New rule produced :
% [1862]
% additive_inverse(additive_inverse(X)) add X <->
% additive_identity add additive_inverse(additive_identity)
% Current number of equations to process: 3686
% Current number of ordered equations: 0
% Current number of rules: 1721
% New rule produced :
% [1863] additive_inverse(additive_inverse(X)) <-> X multiply X multiply X
% Current number of equations to process: 3949
% Current number of ordered equations: 1
% Current number of rules: 1722
% New rule produced :
% [1864] X multiply X multiply X <-> additive_inverse(additive_inverse(X))
% Current number of equations to process: 3949
% Current number of ordered equations: 0
% Current number of rules: 1723
% New rule produced :
% [1865] additive_inverse(additive_identity add X) <-> X multiply X multiply X
% Current number of equations to process: 3948
% Current number of ordered equations: 1
% Current number of rules: 1724
% New rule produced :
% [1866] X multiply X multiply X <-> additive_inverse(additive_identity add X)
% Current number of equations to process: 3948
% Current number of ordered equations: 0
% Current number of rules: 1725
% New rule produced :
% [1867] X multiply X multiply X <-> additive_identity add additive_inverse(X)
% Current number of equations to process: 3947
% Current number of ordered equations: 1
% Current number of rules: 1726
% New rule produced :
% [1868] additive_identity add additive_inverse(X) <-> X multiply X multiply X
% Current number of equations to process: 3947
% Current number of ordered equations: 0
% Current number of rules: 1727
% New rule produced :
% [1869] X multiply X multiply X <-> additive_inverse(additive_identity) add X
% Current number of equations to process: 3946
% Current number of ordered equations: 1
% Current number of rules: 1728
% New rule produced :
% [1870] additive_inverse(additive_identity) add X <-> X multiply X multiply X
% Current number of equations to process: 3946
% Current number of ordered equations: 0
% Current number of rules: 1729
% New rule produced :
% [1871] additive_inverse(b multiply a) <-> c multiply c multiply c
% Current number of equations to process: 3945
% Current number of ordered equations: 1
% Current number of rules: 1730
% New rule produced :
% [1872] c multiply c multiply c <-> additive_inverse(b multiply a)
% Current number of equations to process: 3945
% Current number of ordered equations: 0
% Current number of rules: 1731
% New rule produced :
% [1873] additive_inverse(c multiply b) <-> c multiply c multiply c
% Current number of equations to process: 3944
% Current number of ordered equations: 1
% Current number of rules: 1732
% New rule produced :
% [1874] c multiply c multiply c <-> additive_inverse(c multiply b)
% Current number of equations to process: 3944
% Current number of ordered equations: 0
% Current number of rules: 1733
% New rule produced :
% [1875] additive_inverse(c multiply a) <-> c multiply c multiply c
% Current number of equations to process: 3943
% Current number of ordered equations: 1
% Current number of rules: 1734
% New rule produced :
% [1876] c multiply c multiply c <-> additive_inverse(c multiply a)
% Current number of equations to process: 3943
% Current number of ordered equations: 0
% Current number of rules: 1735
% New rule produced :
% [1877] c multiply c multiply c <-> c multiply additive_inverse(b)
% Current number of equations to process: 3942
% Current number of ordered equations: 1
% Current number of rules: 1736
% New rule produced :
% [1878] c multiply additive_inverse(b) <-> c multiply c multiply c
% Current number of equations to process: 3942
% Current number of ordered equations: 0
% Current number of rules: 1737
% New rule produced :
% [1879] c multiply c multiply c <-> c multiply additive_inverse(a)
% Current number of equations to process: 3941
% Current number of ordered equations: 1
% Current number of rules: 1738
% New rule produced :
% [1880] c multiply additive_inverse(a) <-> c multiply c multiply c
% Current number of equations to process: 3941
% Current number of ordered equations: 0
% Current number of rules: 1739
% New rule produced :
% [1881] c multiply c multiply c <-> a multiply additive_inverse(b)
% Current number of equations to process: 3940
% Current number of ordered equations: 1
% Current number of rules: 1740
% New rule produced :
% [1882] a multiply additive_inverse(b) <-> c multiply c multiply c
% Current number of equations to process: 3940
% Current number of ordered equations: 0
% Current number of rules: 1741
% New rule produced :
% [1883] c multiply c multiply c <-> b multiply additive_inverse(a)
% Current number of equations to process: 3939
% Current number of ordered equations: 1
% Current number of rules: 1742
% New rule produced :
% [1884] b multiply additive_inverse(a) <-> c multiply c multiply c
% Current number of equations to process: 3939
% Current number of ordered equations: 0
% Current number of rules: 1743
% New rule produced :
% [1885]
% additive_inverse(additive_inverse(X)) <->
% additive_identity add (X multiply X)
% Current number of equations to process: 4243
% Current number of ordered equations: 1
% Current number of rules: 1744
% New rule produced :
% [1886]
% additive_identity add (X multiply X) <->
% additive_inverse(additive_inverse(X))
% Current number of equations to process: 4243
% Current number of ordered equations: 0
% Current number of rules: 1745
% New rule produced :
% [1887]
% additive_inverse(additive_identity add X) <->
% additive_identity add (X multiply X)
% Current number of equations to process: 4242
% Current number of ordered equations: 1
% Current number of rules: 1746
% New rule produced :
% [1888]
% additive_identity add (X multiply X) <->
% additive_inverse(additive_identity add X)
% Current number of equations to process: 4242
% Current number of ordered equations: 0
% Current number of rules: 1747
% New rule produced :
% [1889]
% additive_inverse(b multiply a) <-> additive_identity add (c multiply c)
% Current number of equations to process: 4241
% Current number of ordered equations: 1
% Current number of rules: 1748
% New rule produced :
% [1890]
% additive_identity add (c multiply c) <-> additive_inverse(b multiply a)
% Current number of equations to process: 4241
% Current number of ordered equations: 0
% Current number of rules: 1749
% New rule produced :
% [1891]
% additive_inverse(c multiply b) <-> additive_identity add (c multiply c)
% Current number of equations to process: 4240
% Current number of ordered equations: 1
% Current number of rules: 1750
% New rule produced :
% [1892]
% additive_identity add (c multiply c) <-> additive_inverse(c multiply b)
% Current number of equations to process: 4240
% Current number of ordered equations: 0
% Current number of rules: 1751
% New rule produced :
% [1893]
% additive_inverse(c multiply a) <-> additive_identity add (c multiply c)
% Current number of equations to process: 4239
% Current number of ordered equations: 1
% Current number of rules: 1752
% New rule produced :
% [1894]
% additive_identity add (c multiply c) <-> additive_inverse(c multiply a)
% Current number of equations to process: 4239
% Current number of ordered equations: 0
% Current number of rules: 1753
% New rule produced :
% [1895]
% additive_identity add (c multiply c) <-> c multiply additive_inverse(b)
% Current number of equations to process: 4238
% Current number of ordered equations: 1
% Current number of rules: 1754
% New rule produced :
% [1896]
% c multiply additive_inverse(b) <-> additive_identity add (c multiply c)
% Current number of equations to process: 4238
% Current number of ordered equations: 0
% Current number of rules: 1755
% New rule produced :
% [1897]
% additive_identity add (c multiply c) <-> c multiply additive_inverse(a)
% Current number of equations to process: 4237
% Current number of ordered equations: 1
% Current number of rules: 1756
% New rule produced :
% [1898]
% c multiply additive_inverse(a) <-> additive_identity add (c multiply c)
% Current number of equations to process: 4237
% Current number of ordered equations: 0
% Current number of rules: 1757
% New rule produced :
% [1899]
% additive_identity add (c multiply c) <-> a multiply additive_inverse(b)
% Current number of equations to process: 4236
% Current number of ordered equations: 1
% Current number of rules: 1758
% New rule produced :
% [1900]
% a multiply additive_inverse(b) <-> additive_identity add (c multiply c)
% Current number of equations to process: 4236
% Current number of ordered equations: 0
% Current number of rules: 1759
% New rule produced :
% [1901]
% additive_identity add (c multiply c) <-> a multiply additive_inverse(c)
% Current number of equations to process: 4235
% Current number of ordered equations: 1
% Current number of rules: 1760
% New rule produced :
% [1902]
% a multiply additive_inverse(c) <-> additive_identity add (c multiply c)
% Current number of equations to process: 4235
% Current number of ordered equations: 0
% Current number of rules: 1761
% New rule produced :
% [1903]
% additive_identity add (c multiply c) <-> b multiply additive_inverse(c)
% Current number of equations to process: 4234
% Current number of ordered equations: 1
% Current number of rules: 1762
% New rule produced :
% [1904]
% b multiply additive_inverse(c) <-> additive_identity add (c multiply c)
% Current number of equations to process: 4234
% Current number of ordered equations: 0
% Current number of rules: 1763
% New rule produced :
% [1905]
% additive_identity add (c multiply c) <-> b multiply additive_inverse(a)
% Current number of equations to process: 4233
% Current number of ordered equations: 1
% Current number of rules: 1764
% New rule produced :
% [1906]
% b multiply additive_inverse(a) <-> additive_identity add (c multiply c)
% Current number of equations to process: 4233
% Current number of ordered equations: 0
% Current number of rules: 1765
% New rule produced :
% [1907]
% additive_inverse(additive_identity multiply X) <->
% additive_identity add (additive_identity multiply additive_identity)
% Current number of equations to process: 4232
% Current number of ordered equations: 1
% Current number of rules: 1766
% New rule produced :
% [1908]
% additive_identity add (additive_identity multiply additive_identity) <->
% additive_inverse(additive_identity multiply X)
% Current number of equations to process: 4232
% Current number of ordered equations: 0
% Current number of rules: 1767
% New rule produced :
% [1909]
% additive_identity add (additive_identity multiply additive_identity) <->
% additive_inverse(additive_identity) multiply X
% Current number of equations to process: 4231
% Current number of ordered equations: 1
% Current number of rules: 1768
% New rule produced :
% [1910]
% additive_inverse(additive_identity) multiply X <->
% additive_identity add (additive_identity multiply additive_identity)
% Current number of equations to process: 4231
% Current number of ordered equations: 0
% Current number of rules: 1769
% New rule produced :
% [1911]
% additive_inverse(additive_identity add X) <->
% additive_inverse(X) multiply additive_inverse(X)
% Current number of equations to process: 4535
% Current number of ordered equations: 1
% Current number of rules: 1770
% New rule produced :
% [1912]
% additive_inverse(X) multiply additive_inverse(X) <->
% additive_inverse(additive_identity add X)
% Current number of equations to process: 4535
% Current number of ordered equations: 0
% Current number of rules: 1771
% New rule produced :
% [1913]
% additive_inverse(X multiply X) <->
% additive_inverse(X) multiply additive_inverse(X)
% Current number of equations to process: 4534
% Current number of ordered equations: 1
% Current number of rules: 1772
% New rule produced :
% [1914]
% additive_inverse(X) multiply additive_inverse(X) <->
% additive_inverse(X multiply X)
% Current number of equations to process: 4534
% Current number of ordered equations: 0
% Current number of rules: 1773
% New rule produced :
% [1915]
% additive_inverse(additive_identity) add X <->
% additive_inverse(X) multiply additive_inverse(X)
% Current number of equations to process: 4533
% Current number of ordered equations: 1
% Current number of rules: 1774
% New rule produced :
% [1916]
% additive_inverse(X) multiply additive_inverse(X) <->
% additive_inverse(additive_identity) add X
% Current number of equations to process: 4533
% Current number of ordered equations: 0
% Current number of rules: 1775
% New rule produced :
% [1917]
% additive_inverse(b multiply a) <->
% additive_inverse(c) multiply additive_inverse(c)
% Current number of equations to process: 4532
% Current number of ordered equations: 1
% Current number of rules: 1776
% New rule produced :
% [1918]
% additive_inverse(c) multiply additive_inverse(c) <->
% additive_inverse(b multiply a)
% Current number of equations to process: 4532
% Current number of ordered equations: 0
% Current number of rules: 1777
% New rule produced :
% [1919]
% additive_inverse(c multiply b) <->
% additive_inverse(c) multiply additive_inverse(c)
% Current number of equations to process: 4531
% Current number of ordered equations: 1
% Current number of rules: 1778
% New rule produced :
% [1920]
% additive_inverse(c) multiply additive_inverse(c) <->
% additive_inverse(c multiply b)
% Current number of equations to process: 4531
% Current number of ordered equations: 0
% Current number of rules: 1779
% New rule produced :
% [1921]
% additive_inverse(c multiply a) <->
% additive_inverse(c) multiply additive_inverse(c)
% Current number of equations to process: 4530
% Current number of ordered equations: 1
% Current number of rules: 1780
% New rule produced :
% [1922]
% additive_inverse(c) multiply additive_inverse(c) <->
% additive_inverse(c multiply a)
% Current number of equations to process: 4530
% Current number of ordered equations: 0
% Current number of rules: 1781
% New rule produced :
% [1923]
% c multiply additive_inverse(b) <->
% additive_inverse(c) multiply additive_inverse(c)
% Current number of equations to process: 4529
% Current number of ordered equations: 1
% Current number of rules: 1782
% New rule produced :
% [1924]
% additive_inverse(c) multiply additive_inverse(c) <->
% c multiply additive_inverse(b)
% Current number of equations to process: 4529
% Current number of ordered equations: 0
% Current number of rules: 1783
% New rule produced :
% [1925]
% c multiply additive_inverse(a) <->
% additive_inverse(c) multiply additive_inverse(c)
% Current number of equations to process: 4528
% Current number of ordered equations: 1
% Current number of rules: 1784
% New rule produced :
% [1926]
% additive_inverse(c) multiply additive_inverse(c) <->
% c multiply additive_inverse(a)
% Current number of equations to process: 4528
% Current number of ordered equations: 0
% Current number of rules: 1785
% New rule produced :
% [1927]
% a multiply additive_inverse(b) <->
% additive_inverse(c) multiply additive_inverse(c)
% Current number of equations to process: 4527
% Current number of ordered equations: 1
% Current number of rules: 1786
% New rule produced :
% [1928]
% additive_inverse(c) multiply additive_inverse(c) <->
% a multiply additive_inverse(b)
% Current number of equations to process: 4527
% Current number of ordered equations: 0
% Current number of rules: 1787
% New rule produced :
% [1929]
% a multiply additive_inverse(c) <->
% additive_inverse(c) multiply additive_inverse(c)
% Current number of equations to process: 4526
% Current number of ordered equations: 1
% Current number of rules: 1788
% New rule produced :
% [1930]
% additive_inverse(c) multiply additive_inverse(c) <->
% a multiply additive_inverse(c)
% Current number of equations to process: 4526
% Current number of ordered equations: 0
% Current number of rules: 1789
% New rule produced :
% [1931]
% b multiply additive_inverse(c) <->
% additive_inverse(c) multiply additive_inverse(c)
% Current number of equations to process: 4525
% Current number of ordered equations: 1
% Current number of rules: 1790
% New rule produced :
% [1932]
% additive_inverse(c) multiply additive_inverse(c) <->
% b multiply additive_inverse(c)
% Current number of equations to process: 4525
% Current number of ordered equations: 0
% Current number of rules: 1791
% New rule produced :
% [1933]
% b multiply additive_inverse(a) <->
% additive_inverse(c) multiply additive_inverse(c)
% Current number of equations to process: 4524
% Current number of ordered equations: 1
% Current number of rules: 1792
% New rule produced :
% [1934]
% additive_inverse(c) multiply additive_inverse(c) <->
% b multiply additive_inverse(a)
% Current number of equations to process: 4524
% Current number of ordered equations: 0
% Current number of rules: 1793
% New rule produced :
% [1935]
% additive_identity add (additive_identity multiply Y) <->
% additive_inverse(X) add X
% Rule
% [1703]
% additive_identity add (additive_identity multiply additive_identity) <->
% additive_inverse(X) add X collapsed.
% Current number of equations to process: 4523
% Current number of ordered equations: 1
% Current number of rules: 1793
% New rule produced :
% [1936]
% additive_inverse(X) add X <->
% additive_identity add (additive_identity multiply Y)
% Rule
% [1704]
% additive_inverse(X) add X <->
% additive_identity add (additive_identity multiply additive_identity)
% collapsed.
% Current number of equations to process: 4523
% Current number of ordered equations: 0
% Current number of rules: 1793
% New rule produced :
% [1937]
% additive_inverse(additive_inverse(X)) <->
% (additive_identity multiply Y) add X
% Current number of equations to process: 4821
% Current number of ordered equations: 1
% Current number of rules: 1794
% New rule produced :
% [1938]
% (additive_identity multiply Y) add X <->
% additive_inverse(additive_inverse(X))
% Current number of equations to process: 4821
% Current number of ordered equations: 0
% Current number of rules: 1795
% New rule produced :
% [1939]
% additive_inverse(additive_identity add X) <->
% (additive_identity multiply Y) add X
% Rule
% [1699]
% additive_inverse(additive_identity add X) <->
% (additive_identity multiply X) add X collapsed.
% Current number of equations to process: 4820
% Current number of ordered equations: 1
% Current number of rules: 1795
% New rule produced :
% [1940]
% (additive_identity multiply Y) add X <->
% additive_inverse(additive_identity add X)
% Rule
% [1705]
% (additive_identity multiply X) add X <->
% additive_inverse(additive_identity add X) collapsed.
% Current number of equations to process: 4820
% Current number of ordered equations: 0
% Current number of rules: 1795
% New rule produced :
% [1941]
% additive_inverse(X multiply X) <-> (additive_identity multiply Y) add X
% Current number of equations to process: 4819
% Current number of ordered equations: 1
% Current number of rules: 1796
% New rule produced :
% [1942]
% (additive_identity multiply Y) add X <-> additive_inverse(X multiply X)
% Current number of equations to process: 4819
% Current number of ordered equations: 0
% Current number of rules: 1797
% New rule produced :
% [1943]
% additive_identity add additive_inverse(X) <->
% (additive_identity multiply Y) add X
% Rule
% [1701]
% additive_identity add additive_inverse(X) <->
% (additive_identity multiply X) add X collapsed.
% Current number of equations to process: 4818
% Current number of ordered equations: 1
% Current number of rules: 1797
% New rule produced :
% [1944]
% (additive_identity multiply Y) add X <->
% additive_identity add additive_inverse(X)
% Rule
% [1706]
% (additive_identity multiply X) add X <->
% additive_identity add additive_inverse(X) collapsed.
% Current number of equations to process: 4818
% Current number of ordered equations: 0
% Current number of rules: 1797
% New rule produced :
% [1945]
% additive_inverse(b multiply a) <-> c add (additive_identity multiply X)
% Current number of equations to process: 4817
% Current number of ordered equations: 1
% Current number of rules: 1798
% New rule produced :
% [1946]
% c add (additive_identity multiply X) <-> additive_inverse(b multiply a)
% Current number of equations to process: 4817
% Current number of ordered equations: 0
% Current number of rules: 1799
% New rule produced :
% [1947]
% additive_inverse(c multiply b) <-> c add (additive_identity multiply X)
% Current number of equations to process: 4816
% Current number of ordered equations: 1
% Current number of rules: 1800
% New rule produced :
% [1948]
% c add (additive_identity multiply X) <-> additive_inverse(c multiply b)
% Current number of equations to process: 4816
% Current number of ordered equations: 0
% Current number of rules: 1801
% New rule produced :
% [1949]
% additive_inverse(c multiply a) <-> c add (additive_identity multiply X)
% Current number of equations to process: 4815
% Current number of ordered equations: 1
% Current number of rules: 1802
% New rule produced :
% [1950]
% c add (additive_identity multiply X) <-> additive_inverse(c multiply a)
% Current number of equations to process: 4815
% Current number of ordered equations: 0
% Current number of rules: 1803
% New rule produced :
% [1951]
% c add (additive_identity multiply X) <-> c multiply additive_inverse(b)
% Current number of equations to process: 4814
% Current number of ordered equations: 1
% Current number of rules: 1804
% New rule produced :
% [1952]
% c multiply additive_inverse(b) <-> c add (additive_identity multiply X)
% Current number of equations to process: 4814
% Current number of ordered equations: 0
% Current number of rules: 1805
% New rule produced :
% [1953]
% c add (additive_identity multiply X) <-> c multiply additive_inverse(a)
% Current number of equations to process: 4813
% Current number of ordered equations: 1
% Current number of rules: 1806
% New rule produced :
% [1954]
% c multiply additive_inverse(a) <-> c add (additive_identity multiply X)
% Current number of equations to process: 4813
% Current number of ordered equations: 0
% Current number of rules: 1807
% New rule produced :
% [1955]
% c add (additive_identity multiply X) <-> a multiply additive_inverse(b)
% Current number of equations to process: 4812
% Current number of ordered equations: 1
% Current number of rules: 1808
% New rule produced :
% [1956]
% a multiply additive_inverse(b) <-> c add (additive_identity multiply X)
% Current number of equations to process: 4812
% Current number of ordered equations: 0
% Current number of rules: 1809
% New rule produced :
% [1957]
% c add (additive_identity multiply X) <-> a multiply additive_inverse(c)
% Current number of equations to process: 4811
% Current number of ordered equations: 1
% Current number of rules: 1810
% New rule produced :
% [1958]
% a multiply additive_inverse(c) <-> c add (additive_identity multiply X)
% Current number of equations to process: 4811
% Current number of ordered equations: 0
% Current number of rules: 1811
% New rule produced :
% [1959]
% c add (additive_identity multiply X) <-> b multiply additive_inverse(c)
% Current number of equations to process: 4810
% Current number of ordered equations: 1
% Current number of rules: 1812
% New rule produced :
% [1960]
% b multiply additive_inverse(c) <-> c add (additive_identity multiply X)
% Current number of equations to process: 4810
% Current number of ordered equations: 0
% Current number of rules: 1813
% New rule produced :
% [1961]
% c add (additive_identity multiply X) <-> b multiply additive_inverse(a)
% Current number of equations to process: 4809
% Current number of ordered equations: 1
% Current number of rules: 1814
% New rule produced :
% [1962]
% b multiply additive_inverse(a) <-> c add (additive_identity multiply X)
% Current number of equations to process: 4809
% Current number of ordered equations: 0
% Current number of rules: 1815
% New rule produced :
% [1963]
% additive_inverse(additive_identity multiply X) <->
% additive_identity add (additive_identity multiply Y)
% Rule
% [1907]
% additive_inverse(additive_identity multiply X) <->
% additive_identity add (additive_identity multiply additive_identity)
% collapsed.
% Current number of equations to process: 4808
% Current number of ordered equations: 1
% Current number of rules: 1815
% New rule produced :
% [1964]
% additive_identity add (additive_identity multiply Y) <->
% additive_inverse(additive_identity multiply X)
% Rule
% [1908]
% additive_identity add (additive_identity multiply additive_identity) <->
% additive_inverse(additive_identity multiply X) collapsed.
% Current number of equations to process: 4808
% Current number of ordered equations: 0
% Current number of rules: 1815
% New rule produced :
% [1965]
% additive_inverse(X add X) <->
% additive_identity add (additive_identity multiply Y)
% Rule
% [1700]
% additive_inverse(X add X) <->
% additive_identity add (additive_identity multiply additive_identity)
% collapsed.
% Current number of equations to process: 4807
% Current number of ordered equations: 1
% Current number of rules: 1815
% New rule produced :
% [1966]
% additive_identity add (additive_identity multiply Y) <->
% additive_inverse(X add X)
% Rule
% [1702]
% additive_identity add (additive_identity multiply additive_identity) <->
% additive_inverse(X add X) collapsed.
% Current number of equations to process: 4807
% Current number of ordered equations: 0
% Current number of rules: 1815
% New rule produced :
% [1967]
% additive_identity add (additive_identity multiply Y) <->
% additive_inverse(additive_identity) multiply X
% Rule
% [1741]
% additive_identity add (additive_identity multiply X) <->
% additive_inverse(additive_identity) multiply X collapsed.
% Rule
% [1909]
% additive_identity add (additive_identity multiply additive_identity) <->
% additive_inverse(additive_identity) multiply X collapsed.
% Current number of equations to process: 4806
% Current number of ordered equations: 1
% Current number of rules: 1814
% New rule produced :
% [1968]
% additive_inverse(additive_identity) multiply X <->
% additive_identity add (additive_identity multiply Y)
% Rule
% [1742]
% additive_inverse(additive_identity) multiply X <->
% additive_identity add (additive_identity multiply X) collapsed.
% Rule
% [1910]
% additive_inverse(additive_identity) multiply X <->
% additive_identity add (additive_identity multiply additive_identity)
% collapsed.
% Current number of equations to process: 4806
% Current number of ordered equations: 0
% Current number of rules: 1813
% New rule produced :
% [1969] additive_inverse(X) add X <-> additive_identity add Y add Y
% Rule
% [1694]
% additive_inverse(X) add X <->
% additive_identity add additive_identity add additive_identity collapsed.
% Current number of equations to process: 4805
% Current number of ordered equations: 1
% Current number of rules: 1813
% New rule produced :
% [1970] additive_identity add Y add Y <-> additive_inverse(X) add X
% Rule
% [1698]
% additive_identity add additive_identity add additive_identity <->
% additive_inverse(X) add X collapsed.
% Current number of equations to process: 4805
% Current number of ordered equations: 0
% Current number of rules: 1813
% New rule produced :
% [1971] additive_inverse(additive_inverse(X)) <-> X add Y add Y
% Rule
% [1115]
% additive_inverse(additive_inverse(additive_identity)) <->
% additive_identity add X add X collapsed.
% Current number of equations to process: 1690
% Current number of ordered equations: 1
% Current number of rules: 1813
% New rule produced :
% [1972] X add Y add Y <-> additive_inverse(additive_inverse(X))
% Rule
% [1116]
% additive_identity add X add X <->
% additive_inverse(additive_inverse(additive_identity)) collapsed.
% Current number of equations to process: 1690
% Current number of ordered equations: 0
% Current number of rules: 1813
% New rule produced :
% [1973] additive_inverse(additive_identity add X) <-> X add Y add Y
% Rule [1691] additive_inverse(additive_identity add X) <-> X add X add X
% collapsed.
% Current number of equations to process: 1689
% Current number of ordered equations: 1
% Current number of rules: 1813
% New rule produced :
% [1974] X add Y add Y <-> additive_inverse(additive_identity add X)
% Rule [1695] X add X add X <-> additive_inverse(additive_identity add X)
% collapsed.
% Current number of equations to process: 1689
% Current number of ordered equations: 0
% Current number of rules: 1813
% New rule produced : [1975] additive_inverse(X multiply X) <-> X add Y add Y
% Current number of equations to process: 1688
% Current number of ordered equations: 1
% Current number of rules: 1814
% New rule produced : [1976] X add Y add Y <-> additive_inverse(X multiply X)
% Current number of equations to process: 1688
% Current number of ordered equations: 0
% Current number of rules: 1815
% New rule produced :
% [1977] additive_identity add additive_inverse(X) <-> X add Y add Y
% Rule [1693] additive_identity add additive_inverse(X) <-> X add X add X
% collapsed.
% Current number of equations to process: 1687
% Current number of ordered equations: 1
% Current number of rules: 1815
% New rule produced :
% [1978] X add Y add Y <-> additive_identity add additive_inverse(X)
% Rule [1696] X add X add X <-> additive_identity add additive_inverse(X)
% collapsed.
% Current number of equations to process: 1687
% Current number of ordered equations: 0
% Current number of rules: 1815
% New rule produced : [1979] additive_inverse(b multiply a) <-> c add X add X
% Current number of equations to process: 1686
% Current number of ordered equations: 1
% Current number of rules: 1816
% New rule produced : [1980] c add X add X <-> additive_inverse(b multiply a)
% Current number of equations to process: 1686
% Current number of ordered equations: 0
% Current number of rules: 1817
% New rule produced : [1981] additive_inverse(c multiply b) <-> c add X add X
% Current number of equations to process: 1685
% Current number of ordered equations: 1
% Current number of rules: 1818
% New rule produced : [1982] c add X add X <-> additive_inverse(c multiply b)
% Current number of equations to process: 1685
% Current number of ordered equations: 0
% Current number of rules: 1819
% New rule produced : [1983] additive_inverse(c multiply a) <-> c add X add X
% Current number of equations to process: 1684
% Current number of ordered equations: 1
% Current number of rules: 1820
% New rule produced : [1984] c add X add X <-> additive_inverse(c multiply a)
% Current number of equations to process: 1684
% Current number of ordered equations: 0
% Current number of rules: 1821
% New rule produced : [1985] c multiply additive_inverse(b) <-> c add X add X
% Current number of equations to process: 1683
% Current number of ordered equations: 1
% Current number of rules: 1822
% New rule produced : [1986] c add X add X <-> c multiply additive_inverse(b)
% Current number of equations to process: 1683
% Current number of ordered equations: 0
% Current number of rules: 1823
% New rule produced : [1987] c multiply additive_inverse(a) <-> c add X add X
% Current number of equations to process: 1682
% Current number of ordered equations: 1
% Current number of rules: 1824
% New rule produced : [1988] c add X add X <-> c multiply additive_inverse(a)
% Current number of equations to process: 1682
% Current number of ordered equations: 0
% Current number of rules: 1825
% New rule produced : [1989] a multiply additive_inverse(b) <-> c add X add X
% Current number of equations to process: 1681
% Current number of ordered equations: 1
% Current number of rules: 1826
% New rule produced : [1990] c add X add X <-> a multiply additive_inverse(b)
% Current number of equations to process: 1681
% Current number of ordered equations: 0
% Current number of rules: 1827
% New rule produced : [1991] a multiply additive_inverse(c) <-> c add X add X
% Current number of equations to process: 1680
% Current number of ordered equations: 1
% Current number of rules: 1828
% New rule produced : [1992] c add X add X <-> a multiply additive_inverse(c)
% Current number of equations to process: 1680
% Current number of ordered equations: 0
% Current number of rules: 1829
% New rule produced : [1993] b multiply additive_inverse(c) <-> c add X add X
% Current number of equations to process: 1679
% Current number of ordered equations: 1
% Current number of rules: 1830
% New rule produced : [1994] c add X add X <-> b multiply additive_inverse(c)
% Current number of equations to process: 1679
% Current number of ordered equations: 0
% Current number of rules: 1831
% New rule produced : [1995] b multiply additive_inverse(a) <-> c add X add X
% Current number of equations to process: 1678
% Current number of ordered equations: 1
% Current number of rules: 1832
% New rule produced : [1996] c add X add X <-> b multiply additive_inverse(a)
% Current number of equations to process: 1678
% Current number of ordered equations: 0
% Current number of rules: 1833
% New rule produced :
% [1997]
% additive_inverse(additive_identity multiply X) <->
% additive_identity add Y add Y
% Rule
% [1707]
% additive_inverse(additive_identity multiply X) <->
% additive_identity add X add X collapsed.
% Current number of equations to process: 1677
% Current number of ordered equations: 1
% Current number of rules: 1833
% New rule produced :
% [1998]
% additive_identity add Y add Y <->
% additive_inverse(additive_identity multiply X)
% Rule
% [1708]
% additive_identity add X add X <->
% additive_inverse(additive_identity multiply X) collapsed.
% Current number of equations to process: 1677
% Current number of ordered equations: 0
% Current number of rules: 1833
% New rule produced :
% [1999] additive_inverse(X add X) <-> additive_identity add Y add Y
% Rule
% [1692]
% additive_inverse(X add X) <->
% additive_identity add additive_identity add additive_identity collapsed.
% Current number of equations to process: 1676
% Current number of ordered equations: 1
% Current number of rules: 1833
% New rule produced :
% [2000] additive_identity add Y add Y <-> additive_inverse(X add X)
% Rule
% [1697]
% additive_identity add additive_identity add additive_identity <->
% additive_inverse(X add X) collapsed.
% Current number of equations to process: 1676
% Current number of ordered equations: 0
% Current number of rules: 1833
% New rule produced :
% [2001]
% additive_inverse(additive_identity) multiply X <->
% additive_identity add Y add Y
% Current number of equations to process: 1675
% Current number of ordered equations: 1
% Current number of rules: 1834
% New rule produced :
% [2002]
% additive_identity add Y add Y <->
% additive_inverse(additive_identity) multiply X
% Current number of equations to process: 1675
% Current number of ordered equations: 0
% Current number of rules: 1835
% New rule produced :
% [2003]
% additive_inverse(additive_inverse(c)) <->
% additive_identity add (b multiply a)
% Current number of equations to process: 1732
% Current number of ordered equations: 1
% Current number of rules: 1836
% New rule produced :
% [2004]
% additive_identity add (b multiply a) <->
% additive_inverse(additive_inverse(c))
% Current number of equations to process: 1732
% Current number of ordered equations: 0
% Current number of rules: 1837
% New rule produced :
% [2005]
% additive_inverse(c multiply c) <-> additive_identity add (b multiply a)
% Current number of equations to process: 1731
% Current number of ordered equations: 1
% Current number of rules: 1838
% New rule produced :
% [2006]
% additive_identity add (b multiply a) <-> additive_inverse(c multiply c)
% Current number of equations to process: 1731
% Current number of ordered equations: 0
% Current number of rules: 1839
% New rule produced :
% [2007]
% additive_inverse(c multiply b) <-> additive_identity add (b multiply a)
% Current number of equations to process: 1730
% Current number of ordered equations: 1
% Current number of rules: 1840
% New rule produced :
% [2008]
% additive_identity add (b multiply a) <-> additive_inverse(c multiply b)
% Current number of equations to process: 1730
% Current number of ordered equations: 0
% Current number of rules: 1841
% New rule produced :
% [2009]
% additive_inverse(c multiply a) <-> additive_identity add (b multiply a)
% Current number of equations to process: 1729
% Current number of ordered equations: 1
% Current number of rules: 1842
% New rule produced :
% [2010]
% additive_identity add (b multiply a) <-> additive_inverse(c multiply a)
% Current number of equations to process: 1729
% Current number of ordered equations: 0
% Current number of rules: 1843
% New rule produced :
% [2011]
% additive_identity add (b multiply a) <-> c multiply additive_inverse(b)
% Current number of equations to process: 1728
% Current number of ordered equations: 1
% Current number of rules: 1844
% New rule produced :
% [2012]
% c multiply additive_inverse(b) <-> additive_identity add (b multiply a)
% Current number of equations to process: 1728
% Current number of ordered equations: 0
% Current number of rules: 1845
% New rule produced :
% [2013]
% additive_identity add (b multiply a) <-> c multiply additive_inverse(a)
% Current number of equations to process: 1727
% Current number of ordered equations: 1
% Current number of rules: 1846
% New rule produced :
% [2014]
% c multiply additive_inverse(a) <-> additive_identity add (b multiply a)
% Current number of equations to process: 1727
% Current number of ordered equations: 0
% Current number of rules: 1847
% New rule produced :
% [2015]
% additive_identity add (b multiply a) <-> a multiply additive_inverse(b)
% Current number of equations to process: 1726
% Current number of ordered equations: 1
% Current number of rules: 1848
% New rule produced :
% [2016]
% a multiply additive_inverse(b) <-> additive_identity add (b multiply a)
% Current number of equations to process: 1726
% Current number of ordered equations: 0
% Current number of rules: 1849
% New rule produced :
% [2017]
% additive_identity add (b multiply a) <-> a multiply additive_inverse(c)
% Current number of equations to process: 1725
% Current number of ordered equations: 1
% Current number of rules: 1850
% New rule produced :
% [2018]
% a multiply additive_inverse(c) <-> additive_identity add (b multiply a)
% Current number of equations to process: 1725
% Current number of ordered equations: 0
% Current number of rules: 1851
% New rule produced :
% [2019]
% additive_identity add (b multiply a) <-> b multiply additive_inverse(c)
% Current number of equations to process: 1724
% Current number of ordered equations: 1
% Current number of rules: 1852
% New rule produced :
% [2020]
% b multiply additive_inverse(c) <-> additive_identity add (b multiply a)
% Current number of equations to process: 1724
% Current number of ordered equations: 0
% Current number of rules: 1853
% New rule produced :
% [2021]
% additive_identity add (b multiply a) <-> b multiply additive_inverse(a)
% Current number of equations to process: 1723
% Current number of ordered equations: 1
% Current number of rules: 1854
% New rule produced :
% [2022]
% b multiply additive_inverse(a) <-> additive_identity add (b multiply a)
% Current number of equations to process: 1723
% Current number of ordered equations: 0
% Current number of rules: 1855
% New rule produced :
% [2023]
% additive_inverse(additive_inverse(c)) <->
% additive_identity add (c multiply b)
% Current number of equations to process: 1778
% Current number of ordered equations: 1
% Current number of rules: 1856
% New rule produced :
% [2024]
% additive_identity add (c multiply b) <->
% additive_inverse(additive_inverse(c))
% Current number of equations to process: 1778
% Current number of ordered equations: 0
% Current number of rules: 1857
% New rule produced :
% [2025]
% additive_inverse(c multiply c) <-> additive_identity add (c multiply b)
% Current number of equations to process: 1777
% Current number of ordered equations: 1
% Current number of rules: 1858
% New rule produced :
% [2026]
% additive_identity add (c multiply b) <-> additive_inverse(c multiply c)
% Current number of equations to process: 1777
% Current number of ordered equations: 0
% Current number of rules: 1859
% New rule produced :
% [2027]
% additive_inverse(b multiply a) <-> additive_identity add (c multiply b)
% Current number of equations to process: 1776
% Current number of ordered equations: 1
% Current number of rules: 1860
% New rule produced :
% [2028]
% additive_identity add (c multiply b) <-> additive_inverse(b multiply a)
% Current number of equations to process: 1776
% Current number of ordered equations: 0
% Current number of rules: 1861
% New rule produced :
% [2029]
% additive_inverse(c multiply a) <-> additive_identity add (c multiply b)
% Current number of equations to process: 1775
% Current number of ordered equations: 1
% Current number of rules: 1862
% New rule produced :
% [2030]
% additive_identity add (c multiply b) <-> additive_inverse(c multiply a)
% Current number of equations to process: 1775
% Current number of ordered equations: 0
% Current number of rules: 1863
% New rule produced :
% [2031]
% additive_identity add (c multiply b) <-> c multiply additive_inverse(b)
% Current number of equations to process: 1774
% Current number of ordered equations: 1
% Current number of rules: 1864
% New rule produced :
% [2032]
% c multiply additive_inverse(b) <-> additive_identity add (c multiply b)
% Current number of equations to process: 1774
% Current number of ordered equations: 0
% Current number of rules: 1865
% New rule produced :
% [2033]
% additive_identity add (c multiply b) <-> c multiply additive_inverse(a)
% Current number of equations to process: 1773
% Current number of ordered equations: 1
% Current number of rules: 1866
% New rule produced :
% [2034]
% c multiply additive_inverse(a) <-> additive_identity add (c multiply b)
% Current number of equations to process: 1773
% Current number of ordered equations: 0
% Current number of rules: 1867
% New rule produced :
% [2035]
% additive_identity add (c multiply b) <-> a multiply additive_inverse(b)
% Current number of equations to process: 1772
% Current number of ordered equations: 1
% Current number of rules: 1868
% New rule produced :
% [2036]
% a multiply additive_inverse(b) <-> additive_identity add (c multiply b)
% Current number of equations to process: 1772
% Current number of ordered equations: 0
% Current number of rules: 1869
% New rule produced :
% [2037]
% additive_identity add (c multiply b) <-> a multiply additive_inverse(c)
% Current number of equations to process: 1771
% Current number of ordered equations: 1
% Current number of rules: 1870
% New rule produced :
% [2038]
% a multiply additive_inverse(c) <-> additive_identity add (c multiply b)
% Current number of equations to process: 1771
% Current number of ordered equations: 0
% Current number of rules: 1871
% New rule produced :
% [2039]
% additive_identity add (c multiply b) <-> b multiply additive_inverse(c)
% Current number of equations to process: 1770
% Current number of ordered equations: 1
% Current number of rules: 1872
% New rule produced :
% [2040]
% b multiply additive_inverse(c) <-> additive_identity add (c multiply b)
% Current number of equations to process: 1770
% Current number of ordered equations: 0
% Current number of rules: 1873
% New rule produced :
% [2041]
% additive_identity add (c multiply b) <-> b multiply additive_inverse(a)
% Current number of equations to process: 1769
% Current number of ordered equations: 1
% Current number of rules: 1874
% New rule produced :
% [2042]
% b multiply additive_inverse(a) <-> additive_identity add (c multiply b)
% Current number of equations to process: 1769
% Current number of ordered equations: 0
% Current number of rules: 1875
% New rule produced :
% [2043]
% additive_inverse(additive_inverse(c)) <->
% additive_identity add (c multiply a)
% Current number of equations to process: 1824
% Current number of ordered equations: 1
% Current number of rules: 1876
% New rule produced :
% [2044]
% additive_identity add (c multiply a) <->
% additive_inverse(additive_inverse(c))
% Current number of equations to process: 1824
% Current number of ordered equations: 0
% Current number of rules: 1877
% New rule produced :
% [2045]
% additive_inverse(c multiply c) <-> additive_identity add (c multiply a)
% Current number of equations to process: 1823
% Current number of ordered equations: 1
% Current number of rules: 1878
% New rule produced :
% [2046]
% additive_identity add (c multiply a) <-> additive_inverse(c multiply c)
% Current number of equations to process: 1823
% Current number of ordered equations: 0
% Current number of rules: 1879
% New rule produced :
% [2047]
% additive_inverse(b multiply a) <-> additive_identity add (c multiply a)
% Current number of equations to process: 1822
% Current number of ordered equations: 1
% Current number of rules: 1880
% New rule produced :
% [2048]
% additive_identity add (c multiply a) <-> additive_inverse(b multiply a)
% Current number of equations to process: 1822
% Current number of ordered equations: 0
% Current number of rules: 1881
% New rule produced :
% [2049]
% additive_inverse(c multiply b) <-> additive_identity add (c multiply a)
% Current number of equations to process: 1821
% Current number of ordered equations: 1
% Current number of rules: 1882
% New rule produced :
% [2050]
% additive_identity add (c multiply a) <-> additive_inverse(c multiply b)
% Current number of equations to process: 1821
% Current number of ordered equations: 0
% Current number of rules: 1883
% New rule produced :
% [2051]
% additive_identity add (c multiply a) <-> c multiply additive_inverse(b)
% Current number of equations to process: 1820
% Current number of ordered equations: 1
% Current number of rules: 1884
% New rule produced :
% [2052]
% c multiply additive_inverse(b) <-> additive_identity add (c multiply a)
% Current number of equations to process: 1820
% Current number of ordered equations: 0
% Current number of rules: 1885
% New rule produced :
% [2053]
% additive_identity add (c multiply a) <-> c multiply additive_inverse(a)
% Current number of equations to process: 1819
% Current number of ordered equations: 1
% Current number of rules: 1886
% New rule produced :
% [2054]
% c multiply additive_inverse(a) <-> additive_identity add (c multiply a)
% Current number of equations to process: 1819
% Current number of ordered equations: 0
% Current number of rules: 1887
% New rule produced :
% [2055]
% additive_identity add (c multiply a) <-> a multiply additive_inverse(b)
% Current number of equations to process: 1818
% Current number of ordered equations: 1
% Current number of rules: 1888
% New rule produced :
% [2056]
% a multiply additive_inverse(b) <-> additive_identity add (c multiply a)
% Current number of equations to process: 1818
% Current number of ordered equations: 0
% Current number of rules: 1889
% New rule produced :
% [2057]
% additive_identity add (c multiply a) <-> a multiply additive_inverse(c)
% Current number of equations to process: 1817
% Current number of ordered equations: 1
% Current number of rules: 1890
% New rule produced :
% [2058]
% a multiply additive_inverse(c) <-> additive_identity add (c multiply a)
% Current number of equations to process: 1817
% Current number of ordered equations: 0
% Current number of rules: 1891
% New rule produced :
% [2059]
% additive_identity add (c multiply a) <-> b multiply additive_inverse(c)
% Current number of equations to process: 1816
% Current number of ordered equations: 1
% Current number of rules: 1892
% New rule produced :
% [2060]
% b multiply additive_inverse(c) <-> additive_identity add (c multiply a)
% Current number of equations to process: 1816
% Current number of ordered equations: 0
% Current number of rules: 1893
% New rule produced :
% [2061]
% additive_identity add (c multiply a) <-> b multiply additive_inverse(a)
% Current number of equations to process: 1815
% Current number of ordered equations: 1
% Current number of rules: 1894
% New rule produced :
% [2062]
% b multiply additive_inverse(a) <-> additive_identity add (c multiply a)
% Current number of equations to process: 1815
% Current number of ordered equations: 0
% Current number of rules: 1895
% New rule produced :
% [2063] additive_inverse(additive_inverse(c)) <-> c multiply c multiply a
% Current number of equations to process: 1862
% Current number of ordered equations: 1
% Current number of rules: 1896
% New rule produced :
% [2064] c multiply c multiply a <-> additive_inverse(additive_inverse(c))
% Current number of equations to process: 1862
% Current number of ordered equations: 0
% Current number of rules: 1897
% New rule produced :
% [2065] additive_inverse(c add additive_identity) <-> c multiply c multiply a
% Current number of equations to process: 1861
% Current number of ordered equations: 1
% Current number of rules: 1898
% New rule produced :
% [2066] c multiply c multiply a <-> additive_inverse(c add additive_identity)
% Current number of equations to process: 1861
% Current number of ordered equations: 0
% Current number of rules: 1899
% New rule produced :
% [2067] additive_identity add additive_inverse(c) <-> c multiply c multiply a
% Current number of equations to process: 1860
% Current number of ordered equations: 1
% Current number of rules: 1900
% New rule produced :
% [2068] c multiply c multiply a <-> additive_identity add additive_inverse(c)
% Current number of equations to process: 1860
% Current number of ordered equations: 0
% Current number of rules: 1901
% New rule produced :
% [2069] c multiply c multiply a <-> c add additive_inverse(additive_identity)
% Current number of equations to process: 1859
% Current number of ordered equations: 1
% Current number of rules: 1902
% New rule produced :
% [2070] c add additive_inverse(additive_identity) <-> c multiply c multiply a
% Current number of equations to process: 1859
% Current number of ordered equations: 0
% Current number of rules: 1903
% New rule produced :
% [2071] additive_inverse(b multiply a) <-> c multiply c multiply a
% Current number of equations to process: 1858
% Current number of ordered equations: 1
% Current number of rules: 1904
% New rule produced :
% [2072] c multiply c multiply a <-> additive_inverse(b multiply a)
% Current number of equations to process: 1858
% Current number of ordered equations: 0
% Current number of rules: 1905
% New rule produced :
% [2073] additive_inverse(c multiply b) <-> c multiply c multiply a
% Current number of equations to process: 1857
% Current number of ordered equations: 1
% Current number of rules: 1906
% New rule produced :
% [2074] c multiply c multiply a <-> additive_inverse(c multiply b)
% Current number of equations to process: 1857
% Current number of ordered equations: 0
% Current number of rules: 1907
% New rule produced :
% [2075] c multiply c multiply a <-> c multiply additive_inverse(b)
% Current number of equations to process: 1856
% Current number of ordered equations: 1
% Current number of rules: 1908
% New rule produced :
% [2076] c multiply additive_inverse(b) <-> c multiply c multiply a
% Current number of equations to process: 1856
% Current number of ordered equations: 0
% Current number of rules: 1909
% New rule produced :
% [2077] c multiply c multiply a <-> a multiply additive_inverse(b)
% Current number of equations to process: 1855
% Current number of ordered equations: 1
% Current number of rules: 1910
% New rule produced :
% [2078] a multiply additive_inverse(b) <-> c multiply c multiply a
% Current number of equations to process: 1855
% Current number of ordered equations: 0
% Current number of rules: 1911
% New rule produced :
% [2079] additive_inverse(additive_inverse(c)) <-> c multiply c multiply b
% Current number of equations to process: 1903
% Current number of ordered equations: 1
% Current number of rules: 1912
% New rule produced :
% [2080] c multiply c multiply b <-> additive_inverse(additive_inverse(c))
% Current number of equations to process: 1903
% Current number of ordered equations: 0
% Current number of rules: 1913
% New rule produced :
% [2081] additive_inverse(c add additive_identity) <-> c multiply c multiply b
% Current number of equations to process: 1902
% Current number of ordered equations: 1
% Current number of rules: 1914
% New rule produced :
% [2082] c multiply c multiply b <-> additive_inverse(c add additive_identity)
% Current number of equations to process: 1902
% Current number of ordered equations: 0
% Current number of rules: 1915
% New rule produced :
% [2083] additive_identity add additive_inverse(c) <-> c multiply c multiply b
% Current number of equations to process: 1901
% Current number of ordered equations: 1
% Current number of rules: 1916
% New rule produced :
% [2084] c multiply c multiply b <-> additive_identity add additive_inverse(c)
% Current number of equations to process: 1901
% Current number of ordered equations: 0
% Current number of rules: 1917
% New rule produced :
% [2085] c multiply c multiply b <-> c add additive_inverse(additive_identity)
% Current number of equations to process: 1900
% Current number of ordered equations: 1
% Current number of rules: 1918
% New rule produced :
% [2086] c add additive_inverse(additive_identity) <-> c multiply c multiply b
% Current number of equations to process: 1900
% Current number of ordered equations: 0
% Current number of rules: 1919
% New rule produced :
% [2087] additive_inverse(b multiply a) <-> c multiply c multiply b
% Current number of equations to process: 1899
% Current number of ordered equations: 1
% Current number of rules: 1920
% New rule produced :
% [2088] c multiply c multiply b <-> additive_inverse(b multiply a)
% Current number of equations to process: 1899
% Current number of ordered equations: 0
% Current number of rules: 1921
% New rule produced :
% [2089] additive_inverse(c multiply a) <-> c multiply c multiply b
% Current number of equations to process: 1898
% Current number of ordered equations: 1
% Current number of rules: 1922
% New rule produced :
% [2090] c multiply c multiply b <-> additive_inverse(c multiply a)
% Current number of equations to process: 1898
% Current number of ordered equations: 0
% Current number of rules: 1923
% New rule produced :
% [2091] c multiply c multiply b <-> c multiply additive_inverse(a)
% Current number of equations to process: 1897
% Current number of ordered equations: 1
% Current number of rules: 1924
% New rule produced :
% [2092] c multiply additive_inverse(a) <-> c multiply c multiply b
% Current number of equations to process: 1897
% Current number of ordered equations: 0
% Current number of rules: 1925
% New rule produced :
% [2093] c multiply c multiply b <-> b multiply additive_inverse(a)
% Current number of equations to process: 1896
% Current number of ordered equations: 1
% Current number of rules: 1926
% New rule produced :
% [2094] b multiply additive_inverse(a) <-> c multiply c multiply b
% Current number of equations to process: 1896
% Current number of ordered equations: 0
% Current number of rules: 1927
% New rule produced :
% [2095] additive_inverse(additive_inverse(c)) <-> c multiply a multiply a
% Current number of equations to process: 1951
% Current number of ordered equations: 1
% Current number of rules: 1928
% New rule produced :
% [2096] c multiply a multiply a <-> additive_inverse(additive_inverse(c))
% Current number of equations to process: 1951
% Current number of ordered equations: 0
% Current number of rules: 1929
% New rule produced :
% [2097] additive_inverse(c add additive_identity) <-> c multiply a multiply a
% Current number of equations to process: 1950
% Current number of ordered equations: 1
% Current number of rules: 1930
% New rule produced :
% [2098] c multiply a multiply a <-> additive_inverse(c add additive_identity)
% Current number of equations to process: 1950
% Current number of ordered equations: 0
% Current number of rules: 1931
% New rule produced :
% [2099] additive_inverse(c multiply c) <-> c multiply a multiply a
% Current number of equations to process: 1949
% Current number of ordered equations: 1
% Current number of rules: 1932
% New rule produced :
% [2100] c multiply a multiply a <-> additive_inverse(c multiply c)
% Current number of equations to process: 1949
% Current number of ordered equations: 0
% Current number of rules: 1933
% New rule produced :
% [2101] additive_identity add additive_inverse(c) <-> c multiply a multiply a
% Current number of equations to process: 1948
% Current number of ordered equations: 1
% Current number of rules: 1934
% New rule produced :
% [2102] c multiply a multiply a <-> additive_identity add additive_inverse(c)
% Current number of equationsCputime limit exceeded (core dumped)
% 
% EOF
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