%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : RNG008-3 : TPTP v6.0.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n154.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 300.00s
% Output   : None 
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----NO SOLUTION OUTPUT BY SYSTEM
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : RNG008-3 : TPTP v6.0.0. Released v1.0.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n154.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 16:14:33 CDT 2014
% % CPUTime  : 300.00 
% Processing problem /tmp/CiME_11810_n154.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;
% 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);
% additive_inverse(additive_identity) = additive_identity;
% additive_inverse(additive_inverse(X)) = X;
% multiply(X,additive_identity) = additive_identity;
% multiply(additive_identity,X) = additive_identity;
% additive_inverse(X add Y) = additive_inverse(X) add additive_inverse(Y);
% multiply(X,additive_inverse(Y)) = additive_inverse(multiply(X,Y));
% multiply(additive_inverse(X),Y) = additive_inverse(multiply(X,Y));
% X add additive_identity = X;
% X add additive_inverse(X) = additive_identity;
% 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_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),
% additive_inverse(additive_identity) =
% additive_identity,
% additive_inverse(additive_inverse(X)) = X,
% multiply(X,additive_identity) =
% additive_identity,
% multiply(additive_identity,X) =
% additive_identity,
% additive_inverse(X add Y) =
% additive_inverse(X) add additive_inverse(Y),
% multiply(X,additive_inverse(Y)) =
% additive_inverse(multiply(X,Y)),
% multiply(additive_inverse(X),Y) =
% additive_inverse(multiply(X,Y)),
% additive_identity add X = X,
% additive_inverse(X) add X = additive_identity,
% multiply(X,X) = X,
% multiply(a,b) = c } (16 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_inverse(additive_identity) -> additive_identity
% Current number of equations to process: 0
% Current number of ordered equations: 13
% Current number of rules: 1
% New rule produced : [2] additive_inverse(additive_inverse(X)) -> X
% Current number of equations to process: 0
% Current number of ordered equations: 12
% Current number of rules: 2
% New rule produced : [3] additive_identity add X -> X
% Current number of equations to process: 0
% Current number of ordered equations: 11
% Current number of rules: 3
% New rule produced : [4] multiply(X,X) -> X
% Current number of equations to process: 0
% Current number of ordered equations: 10
% Current number of rules: 4
% New rule produced : [5] multiply(X,additive_identity) -> additive_identity
% Current number of equations to process: 0
% Current number of ordered equations: 9
% Current number of rules: 5
% New rule produced : [6] multiply(additive_identity,X) -> additive_identity
% Current number of equations to process: 0
% Current number of ordered equations: 8
% Current number of rules: 6
% New rule produced : [7] multiply(a,b) -> c
% Current number of equations to process: 0
% Current number of ordered equations: 7
% Current number of rules: 7
% New rule produced : [8] additive_inverse(X) add X -> additive_identity
% Current number of equations to process: 0
% Current number of ordered equations: 6
% Current number of rules: 8
% New rule produced :
% [9] multiply(X,additive_inverse(Y)) -> additive_inverse(multiply(X,Y))
% Current number of equations to process: 0
% Current number of ordered equations: 5
% Current number of rules: 9
% New rule produced :
% [10] multiply(additive_inverse(X),Y) -> additive_inverse(multiply(X,Y))
% Current number of equations to process: 0
% Current number of ordered equations: 4
% Current number of rules: 10
% New rule produced :
% [11] additive_inverse(X add Y) -> additive_inverse(X) add additive_inverse(Y)
% Current number of equations to process: 0
% Current number of ordered equations: 3
% Current number of rules: 11
% New rule produced :
% [12] 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: 12
% New rule produced :
% [13] 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: 13
% New rule produced :
% [14] 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: 14
% New rule produced : [15] additive_inverse(X) -> X
% Rule [1] additive_inverse(additive_identity) -> additive_identity collapsed.
% Rule [2] additive_inverse(additive_inverse(X)) -> X collapsed.
% Rule [8] additive_inverse(X) add X -> additive_identity collapsed.
% Rule [9] multiply(X,additive_inverse(Y)) -> additive_inverse(multiply(X,Y))
% collapsed.
% Rule [10] multiply(additive_inverse(X),Y) -> additive_inverse(multiply(X,Y))
% collapsed.
% Rule
% [11] additive_inverse(X add Y) -> additive_inverse(X) add additive_inverse(Y)
% collapsed.
% Current number of equations to process: 1
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced : [16] X add X -> additive_identity
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced : [17] multiply(X,multiply(X,Y)) -> multiply(X,Y)
% Current number of equations to process: 2
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced : [18] multiply(a,multiply(b,X)) -> multiply(c,X)
% Current number of equations to process: 1
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [19] multiply(X,multiply(Y,multiply(X,Y))) -> multiply(X,Y)
% Current number of equations to process: 1
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced : [20] multiply(a,c) -> c
% Current number of equations to process: 1
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced : [21] multiply(c,b) -> c
% Current number of equations to process: 3
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced : [22] multiply(c,multiply(b,X)) -> multiply(c,X)
% Current number of equations to process: 3
% Current number of ordered equations: 1
% Current number of rules: 16
% New rule produced : [23] multiply(a,multiply(c,X)) -> multiply(c,X)
% Current number of equations to process: 3
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced : [24] multiply(b,multiply(c,a)) -> multiply(b,a)
% Current number of equations to process: 7
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [25] multiply(c,multiply(X,multiply(b,X))) -> multiply(c,X)
% Current number of equations to process: 7
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [26] multiply(b,multiply(c,multiply(a,X))) -> multiply(b,multiply(a,X))
% Current number of equations to process: 9
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [27]
% multiply(X,multiply(Y,multiply(X,multiply(Y,Z)))) ->
% multiply(X,multiply(Y,Z))
% Current number of equations to process: 8
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [28] multiply(X,multiply(a,multiply(X,c))) -> multiply(X,c)
% Current number of equations to process: 8
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced :
% [29]
% multiply(c,multiply(X,multiply(b,multiply(X,Y)))) ->
% multiply(c,multiply(X,Y))
% Current number of equations to process: 15
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [30]
% multiply(X,multiply(a,multiply(X,multiply(c,Y)))) ->
% multiply(X,multiply(c,Y))
% Current number of equations to process: 16
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced :
% [31] multiply(X,Y) add multiply(Y,X) add X add Y -> X add Y
% Current number of equations to process: 15
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced : [32] c add b add a add multiply(b,a) -> b add a
% Current number of equations to process: 16
% Current number of ordered equations: 0
% Current number of rules: 26
% multiply(X,Y) = multiply(Y,X) (birth = 402, lhs_size = 3, rhs_size = 3,trace = Cp of 31 and 16)
% Initializing completion ...
% New rule produced : [1] X <-> additive_inverse(X)
% Current number of equations to process: 1
% Current number of ordered equations: 62
% 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: 60
% Current number of rules: 2
% New rule produced : [3] X <-> additive_inverse(additive_inverse(X))
% Current number of equations to process: 2
% Current number of ordered equations: 59
% Current number of rules: 3
% New rule produced : [4] X <-> additive_identity add X
% Current number of equations to process: 2
% Current number of ordered equations: 58
% Current number of rules: 4
% New rule produced : [5] X <-> X multiply X
% Current number of equations to process: 2
% Current number of ordered equations: 57
% Current number of rules: 5
% New rule produced : [6] c <-> c multiply a
% Current number of equations to process: 2
% Current number of ordered equations: 56
% Current number of rules: 6
% New rule produced : [7] c <-> c multiply b
% Current number of equations to process: 2
% Current number of ordered equations: 55
% Current number of rules: 7
% New rule produced : [8] c <-> b multiply a
% Current number of equations to process: 2
% Current number of ordered equations: 54
% Current number of rules: 8
% New rule produced : [9] additive_identity <-> X add X
% Current number of equations to process: 2
% Current number of ordered equations: 53
% Current number of rules: 9
% New rule produced : [10] additive_identity <-> additive_identity multiply X
% Current number of equations to process: 2
% Current number of ordered equations: 52
% Current number of rules: 10
% New rule produced : [11] additive_inverse(additive_inverse(X)) <-> X
% Current number of equations to process: 2
% Current number of ordered equations: 51
% Current number of rules: 11
% New rule produced : [12] (eq)(X,X) -> (true)
% Current number of equations to process: 2
% Current number of ordered equations: 50
% Current number of rules: 12
% New rule produced : [13] X add X <-> additive_identity
% Current number of equations to process: 2
% Current number of ordered equations: 49
% Current number of rules: 13
% New rule produced : [14] additive_identity add X <-> X
% Current number of equations to process: 2
% Current number of ordered equations: 48
% Current number of rules: 14
% New rule produced : [15] X multiply X <-> X
% Current number of equations to process: 2
% Current number of ordered equations: 47
% Current number of rules: 15
% New rule produced : [16] additive_identity multiply X <-> additive_identity
% Current number of equations to process: 2
% Current number of ordered equations: 46
% Current number of rules: 16
% New rule produced : [17] c multiply a <-> c
% Current number of equations to process: 2
% Current number of ordered equations: 45
% Current number of rules: 17
% New rule produced : [18] c multiply b <-> c
% Current number of equations to process: 2
% Current number of ordered equations: 44
% Current number of rules: 18
% New rule produced : [19] b multiply a <-> c
% Current number of equations to process: 2
% Current number of ordered equations: 43
% Current number of rules: 19
% New rule produced : [20] additive_identity <-> additive_inverse(X) add X
% Current number of equations to process: 115
% Current number of ordered equations: 56
% Current number of rules: 20
% New rule produced : [21] additive_inverse(X) add X <-> additive_identity
% Current number of equations to process: 115
% Current number of ordered equations: 55
% Current number of rules: 21
% New rule produced :
% [22] additive_inverse(X multiply Y) <-> additive_inverse(X) multiply Y
% Current number of equations to process: 105
% Current number of ordered equations: 264
% Current number of rules: 22
% New rule produced :
% [23] additive_inverse(X multiply Y) <-> additive_inverse(Y) multiply X
% Current number of equations to process: 105
% Current number of ordered equations: 263
% Current number of rules: 23
% New rule produced :
% [24] additive_inverse(X) multiply Y <-> additive_inverse(X multiply Y)
% Current number of equations to process: 105
% Current number of ordered equations: 262
% Current number of rules: 24
% New rule produced :
% [25] additive_inverse(Y) multiply X <-> additive_inverse(X multiply Y)
% Current number of equations to process: 105
% Current number of ordered equations: 261
% Current number of rules: 25
% New rule produced : [26] X multiply Y <-> (X multiply Y) multiply X
% Current number of equations to process: 143
% Current number of ordered equations: 306
% Current number of rules: 26
% New rule produced : [27] (X multiply Y) multiply X <-> X multiply Y
% Current number of equations to process: 143
% Current number of ordered equations: 305
% Current number of rules: 27
% New rule produced : [28] c multiply X <-> c multiply (b multiply X)
% Current number of equations to process: 143
% Current number of ordered equations: 304
% Current number of rules: 28
% New rule produced : [29] c multiply X <-> a multiply (b multiply X)
% Current number of equations to process: 143
% Current number of ordered equations: 303
% Current number of rules: 29
% New rule produced : [30] c multiply X <-> a multiply (c multiply X)
% Current number of equations to process: 143
% Current number of ordered equations: 302
% Current number of rules: 30
% New rule produced : [31] c multiply (b multiply X) <-> c multiply X
% Current number of equations to process: 143
% Current number of ordered equations: 301
% Current number of rules: 31
% New rule produced : [32] a multiply (b multiply X) <-> c multiply X
% Current number of equations to process: 143
% Current number of ordered equations: 300
% Current number of rules: 32
% New rule produced : [33] a multiply (c multiply X) <-> c multiply X
% Current number of equations to process: 143
% Current number of ordered equations: 299
% Current number of rules: 33
% New rule produced : [34] b multiply a <-> b multiply (c multiply a)
% Current number of equations to process: 143
% Current number of ordered equations: 298
% Current number of rules: 34
% New rule produced : [35] b multiply (c multiply a) <-> b multiply a
% Current number of equations to process: 143
% Current number of ordered equations: 297
% Current number of rules: 35
% New rule produced :
% [36]
% additive_inverse(X add Y) <-> additive_inverse(X) add additive_inverse(Y)
% Current number of equations to process: 377
% Current number of ordered equations: 390
% Current number of rules: 36
% New rule produced :
% [37]
% additive_inverse(X) add additive_inverse(Y) <-> additive_inverse(X add Y)
% Current number of equations to process: 377
% Current number of ordered equations: 389
% Current number of rules: 37
% (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: 673
% Current number of ordered equations: 57
% Current number of rules: 1
% New rule produced : [2] additive_inverse(X) <-> X
% Current number of equations to process: 673
% Current number of ordered equations: 55
% Current number of rules: 2
% New rule produced : [3] X <-> additive_inverse(additive_inverse(X))
% Current number of equations to process: 674
% Current number of ordered equations: 54
% Current number of rules: 3
% New rule produced : [4] X <-> additive_identity add X
% Current number of equations to process: 674
% Current number of ordered equations: 53
% Current number of rules: 4
% New rule produced : [5] X <-> X multiply X
% Current number of equations to process: 674
% Current number of ordered equations: 50
% Current number of rules: 5
% New rule produced : [6] c <-> c multiply a
% Current number of equations to process: 674
% Current number of ordered equations: 46
% Current number of rules: 6
% New rule produced : [7] c <-> c multiply b
% Current number of equations to process: 674
% Current number of ordered equations: 43
% Current number of rules: 7
% New rule produced : [8] c <-> b multiply a
% Current number of equations to process: 674
% Current number of ordered equations: 40
% Current number of rules: 8
% New rule produced : [9] additive_identity <-> X add X
% Current number of equations to process: 674
% Current number of ordered equations: 38
% Current number of rules: 9
% New rule produced : [10] additive_identity <-> additive_identity multiply X
% Current number of equations to process: 674
% Current number of ordered equations: 36
% Current number of rules: 10
% New rule produced : [11] additive_inverse(additive_inverse(X)) <-> X
% Current number of equations to process: 674
% Current number of ordered equations: 35
% Current number of rules: 11
% New rule produced : [12] (eq)(X,X) -> (true)
% Current number of equations to process: 674
% Current number of ordered equations: 34
% Current number of rules: 12
% New rule produced : [13] X add X <-> additive_identity
% Current number of equations to process: 674
% Current number of ordered equations: 32
% Current number of rules: 13
% New rule produced : [14] additive_identity add X <-> X
% Current number of equations to process: 674
% Current number of ordered equations: 31
% Current number of rules: 14
% New rule produced : [15] X multiply X <-> X
% Current number of equations to process: 674
% Current number of ordered equations: 28
% Current number of rules: 15
% New rule produced : [16] additive_identity multiply X <-> additive_identity
% Current number of equations to process: 674
% Current number of ordered equations: 26
% Current number of rules: 16
% New rule produced : [17] c multiply a <-> c
% Current number of equations to process: 674
% Current number of ordered equations: 22
% Current number of rules: 17
% New rule produced : [18] c multiply b <-> c
% Current number of equations to process: 674
% Current number of ordered equations: 19
% Current number of rules: 18
% New rule produced : [19] b multiply a <-> c
% Current number of equations to process: 674
% Current number of ordered equations: 16
% Current number of rules: 19
% New rule produced : [20] additive_identity <-> additive_inverse(X) add X
% Current number of equations to process: 950
% Current number of ordered equations: 47
% Current number of rules: 20
% New rule produced : [21] additive_inverse(X) add X <-> additive_identity
% Current number of equations to process: 950
% Current number of ordered equations: 46
% Current number of rules: 21
% New rule produced :
% [22] additive_inverse(X multiply Y) <-> additive_inverse(X) multiply Y
% Current number of equations to process: 710
% Current number of ordered equations: 635
% Current number of rules: 22
% New rule produced :
% [23] additive_inverse(X multiply Y) <-> additive_inverse(Y) multiply X
% Current number of equations to process: 710
% Current number of ordered equations: 634
% Current number of rules: 23
% New rule produced :
% [24] additive_inverse(X) multiply Y <-> additive_inverse(X multiply Y)
% Current number of equations to process: 710
% Current number of ordered equations: 633
% Current number of rules: 24
% New rule produced :
% [25] additive_inverse(Y) multiply X <-> additive_inverse(X multiply Y)
% Current number of equations to process: 710
% Current number of ordered equations: 632
% Current number of rules: 25
% New rule produced : [26] b multiply a <-> c multiply b multiply a
% Current number of equations to process: 1442
% Current number of ordered equations: 688
% Current number of rules: 26
% New rule produced : [27] c multiply b multiply a <-> b multiply a
% Current number of equations to process: 1442
% Current number of ordered equations: 686
% Current number of rules: 27
% New rule produced :
% [28]
% additive_inverse(X add Y) <-> additive_inverse(X) add additive_inverse(Y)
% Current number of equations to process: 1690
% Current number of ordered equations: 769
% Current number of rules: 28
% New rule produced :
% [29]
% additive_inverse(X) add additive_inverse(Y) <-> additive_inverse(X add Y)
% Current number of equations to process: 1690
% Current number of ordered equations: 768
% Current number of rules: 29
% New rule produced :
% [30] (X multiply Y) add (X multiply Z) <-> (Y add Z) multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 1891
% Current number of rules: 30
% New rule produced :
% [31] (Y add Z) multiply X <-> (X multiply Y) add (X multiply Z)
% Current number of equations to process: 1234
% Current number of ordered equations: 1889
% Current number of rules: 31
% New rule produced : [32] additive_inverse(X) <-> additive_identity add X
% Current number of equations to process: 1234
% Current number of ordered equations: 1887
% Current number of rules: 32
% New rule produced : [33] additive_inverse(X) <-> X multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 1885
% Current number of rules: 33
% New rule produced : [34] additive_inverse(additive_identity) <-> X add X
% Current number of equations to process: 1234
% Current number of ordered equations: 1879
% Current number of rules: 34
% New rule produced :
% [35] additive_inverse(additive_identity) <-> additive_identity multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 1870
% Current number of rules: 35
% New rule produced : [36] additive_inverse(c) <-> c multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 1866
% Current number of rules: 36
% New rule produced : [37] additive_inverse(c) <-> c multiply b
% Current number of equations to process: 1234
% Current number of ordered equations: 1863
% Current number of rules: 37
% New rule produced : [38] additive_inverse(c) <-> b multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 1860
% Current number of rules: 38
% New rule produced : [39] X add X <-> additive_inverse(additive_identity)
% Current number of equations to process: 1234
% Current number of ordered equations: 1854
% Current number of rules: 39
% New rule produced : [40] additive_identity add X <-> additive_inverse(X)
% Current number of equations to process: 1234
% Current number of ordered equations: 1852
% Current number of rules: 40
% New rule produced : [41] X multiply X <-> additive_inverse(X)
% Current number of equations to process: 1234
% Current number of ordered equations: 1850
% Current number of rules: 41
% New rule produced :
% [42] additive_identity multiply X <-> additive_inverse(additive_identity)
% Current number of equations to process: 1234
% Current number of ordered equations: 1841
% Current number of rules: 42
% New rule produced : [43] c multiply a <-> additive_inverse(c)
% Current number of equations to process: 1234
% Current number of ordered equations: 1837
% Current number of rules: 43
% New rule produced : [44] c multiply b <-> additive_inverse(c)
% Current number of equations to process: 1234
% Current number of ordered equations: 1834
% Current number of rules: 44
% New rule produced : [45] b multiply a <-> additive_inverse(c)
% Current number of equations to process: 1234
% Current number of ordered equations: 1831
% Current number of rules: 45
% New rule produced : [46] X <-> additive_inverse(additive_identity add X)
% Current number of equations to process: 1234
% Current number of ordered equations: 1828
% Current number of rules: 46
% New rule produced :
% [47] X <-> additive_inverse(additive_inverse(additive_inverse(X)))
% Current number of equations to process: 1234
% Current number of ordered equations: 1824
% Current number of rules: 47
% New rule produced : [48] X <-> additive_inverse(X multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 1821
% Current number of rules: 48
% New rule produced : [49] X <-> additive_identity add additive_inverse(X)
% Current number of equations to process: 1234
% Current number of ordered equations: 1819
% Current number of rules: 49
% New rule produced : [50] X <-> additive_inverse(additive_identity) add X
% Current number of equations to process: 1234
% Current number of ordered equations: 1813
% Current number of rules: 50
% New rule produced : [51] c <-> additive_inverse(b multiply a)
% Current number of equations to process: 1234
% Current number of ordered equations: 1810
% Current number of rules: 51
% New rule produced : [52] c <-> additive_inverse(c multiply b)
% Current number of equations to process: 1234
% Current number of ordered equations: 1807
% Current number of rules: 52
% New rule produced : [53] c <-> additive_inverse(c multiply a)
% Current number of equations to process: 1234
% Current number of ordered equations: 1804
% Current number of rules: 53
% New rule produced : [54] c <-> c multiply additive_inverse(a)
% Current number of equations to process: 1234
% Current number of ordered equations: 1799
% Current number of rules: 54
% New rule produced : [55] c <-> c multiply additive_inverse(b)
% Current number of equations to process: 1234
% Current number of ordered equations: 1794
% Current number of rules: 55
% New rule produced : [56] c <-> a multiply additive_inverse(c)
% Current number of equations to process: 1234
% Current number of ordered equations: 1789
% Current number of rules: 56
% New rule produced : [57] c <-> a multiply additive_inverse(b)
% Current number of equations to process: 1234
% Current number of ordered equations: 1784
% Current number of rules: 57
% New rule produced : [58] c <-> b multiply additive_inverse(c)
% Current number of equations to process: 1234
% Current number of ordered equations: 1779
% Current number of rules: 58
% New rule produced : [59] c <-> b multiply additive_inverse(a)
% Current number of equations to process: 1234
% Current number of ordered equations: 1774
% Current number of rules: 59
% New rule produced :
% [60] additive_identity <-> additive_inverse(additive_identity multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 1766
% Current number of rules: 60
% New rule produced : [61] additive_identity <-> additive_inverse(X add X)
% Current number of equations to process: 1234
% Current number of ordered equations: 1760
% Current number of rules: 61
% New rule produced :
% [62] additive_identity <-> additive_inverse(additive_identity) multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 1756
% Current number of rules: 62
% New rule produced : [63] additive_inverse(additive_identity add X) <-> X
% Current number of equations to process: 1234
% Current number of ordered equations: 1753
% Current number of rules: 63
% New rule produced :
% [64] additive_inverse(additive_inverse(X)) <-> additive_identity add X
% Current number of equations to process: 1234
% Current number of ordered equations: 1751
% Current number of rules: 64
% New rule produced :
% [65] additive_inverse(additive_inverse(X)) <-> X multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 1749
% Current number of rules: 65
% New rule produced :
% [66] additive_inverse(additive_inverse(additive_identity)) <-> X add X
% Current number of equations to process: 1234
% Current number of ordered equations: 1747
% Current number of rules: 66
% New rule produced :
% [67]
% additive_inverse(additive_inverse(additive_identity)) <->
% additive_identity multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 1745
% Current number of rules: 67
% New rule produced :
% [68] additive_inverse(additive_inverse(additive_inverse(X))) <-> X
% Current number of equations to process: 1234
% Current number of ordered equations: 1741
% Current number of rules: 68
% New rule produced :
% [69] additive_inverse(additive_identity multiply X) <-> additive_identity
% Current number of equations to process: 1234
% Current number of ordered equations: 1733
% Current number of rules: 69
% New rule produced : [70] additive_inverse(X multiply X) <-> X
% Current number of equations to process: 1234
% Current number of ordered equations: 1730
% Current number of rules: 70
% New rule produced : [71] additive_inverse(b multiply a) <-> c
% Current number of equations to process: 1234
% Current number of ordered equations: 1727
% Current number of rules: 71
% New rule produced : [72] additive_inverse(X add X) <-> additive_identity
% Current number of equations to process: 1234
% Current number of ordered equations: 1721
% Current number of rules: 72
% New rule produced : [73] additive_inverse(c multiply b) <-> c
% Current number of equations to process: 1234
% Current number of ordered equations: 1718
% Current number of rules: 73
% New rule produced : [74] additive_inverse(c multiply a) <-> c
% Current number of equations to process: 1234
% Current number of ordered equations: 1715
% Current number of rules: 74
% New rule produced :
% [75] additive_inverse(additive_inverse(c)) <-> c multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 1712
% Current number of rules: 75
% New rule produced :
% [76] additive_inverse(additive_inverse(c)) <-> c multiply b
% Current number of equations to process: 1234
% Current number of ordered equations: 1709
% Current number of rules: 76
% New rule produced :
% [77] additive_inverse(additive_inverse(c)) <-> b multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 1706
% Current number of rules: 77
% New rule produced :
% [78] X add X <-> additive_inverse(additive_inverse(additive_identity))
% Current number of equations to process: 1234
% Current number of ordered equations: 1704
% Current number of rules: 78
% New rule produced : [79] X add X <-> Y add Y
% Current number of equations to process: 1234
% Current number of ordered equations: 1686
% Current number of rules: 79
% New rule produced : [80] X add X <-> additive_identity multiply Y
% Current number of equations to process: 1234
% Current number of ordered equations: 1680
% Current number of rules: 80
% New rule produced :
% [81] additive_identity add X <-> additive_inverse(additive_inverse(X))
% Current number of equations to process: 1234
% Current number of ordered equations: 1678
% Current number of rules: 81
% New rule produced : [82] additive_identity add X <-> X multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 1676
% Current number of rules: 82
% New rule produced : [83] additive_identity add additive_inverse(X) <-> X
% Current number of equations to process: 1234
% Current number of ordered equations: 1674
% Current number of rules: 83
% New rule produced : [84] additive_inverse(additive_identity) add X <-> X
% Current number of equations to process: 1234
% Current number of ordered equations: 1668
% Current number of rules: 84
% New rule produced : [85] c add additive_identity <-> c multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 1665
% Current number of rules: 85
% New rule produced : [86] c add additive_identity <-> c multiply b
% Current number of equations to process: 1234
% Current number of ordered equations: 1662
% Current number of rules: 86
% New rule produced : [87] c add additive_identity <-> b multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 1659
% Current number of rules: 87
% New rule produced :
% [88] X multiply X <-> additive_inverse(additive_inverse(X))
% Current number of equations to process: 1234
% Current number of ordered equations: 1657
% Current number of rules: 88
% New rule produced : [89] X multiply X <-> additive_identity add X
% Current number of equations to process: 1234
% Current number of ordered equations: 1655
% Current number of rules: 89
% New rule produced :
% [90]
% additive_identity multiply X <->
% additive_inverse(additive_inverse(additive_identity))
% Current number of equations to process: 1234
% Current number of ordered equations: 1653
% Current number of rules: 90
% New rule produced :
% [91] additive_identity multiply X <-> additive_identity add additive_identity
% Current number of equations to process: 1234
% Current number of ordered equations: 1651
% Current number of rules: 91
% New rule produced :
% [92] additive_identity multiply X <-> additive_identity multiply Y
% Current number of equations to process: 1234
% Current number of ordered equations: 1549
% Current number of rules: 92
% New rule produced : [93] additive_identity multiply Y <-> X add X
% Rule
% [91] additive_identity multiply X <-> additive_identity add additive_identity
% collapsed.
% Current number of equations to process: 1234
% Current number of ordered equations: 1545
% Current number of rules: 92
% New rule produced :
% [94] additive_inverse(additive_identity) multiply X <-> additive_identity
% Current number of equations to process: 1234
% Current number of ordered equations: 1541
% Current number of rules: 93
% New rule produced : [95] c multiply c <-> c multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 1534
% Current number of rules: 94
% New rule produced : [96] c multiply c <-> c multiply b
% Current number of equations to process: 1234
% Current number of ordered equations: 1526
% Current number of rules: 95
% New rule produced : [97] c multiply c <-> b multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 1520
% Current number of rules: 96
% New rule produced :
% [98] c multiply a <-> additive_inverse(additive_inverse(c))
% Current number of equations to process: 1234
% Current number of ordered equations: 1517
% Current number of rules: 97
% New rule produced : [99] c multiply a <-> c add additive_identity
% Current number of equations to process: 1234
% Current number of ordered equations: 1514
% Current number of rules: 98
% New rule produced : [100] c multiply a <-> c multiply c
% Current number of equations to process: 1234
% Current number of ordered equations: 1507
% Current number of rules: 99
% New rule produced : [101] c multiply a <-> c multiply b
% Current number of equations to process: 1234
% Current number of ordered equations: 1502
% Current number of rules: 100
% New rule produced : [102] c multiply a <-> b multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 1492
% Current number of rules: 101
% New rule produced :
% [103] c multiply b <-> additive_inverse(additive_inverse(c))
% Current number of equations to process: 1234
% Current number of ordered equations: 1489
% Current number of rules: 102
% New rule produced : [104] c multiply b <-> c add additive_identity
% Current number of equations to process: 1234
% Current number of ordered equations: 1486
% Current number of rules: 103
% New rule produced : [105] c multiply b <-> c multiply c
% Current number of equations to process: 1234
% Current number of ordered equations: 1478
% Current number of rules: 104
% New rule produced : [106] c multiply b <-> c multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 1473
% Current number of rules: 105
% New rule produced : [107] c multiply b <-> b multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 1463
% Current number of rules: 106
% New rule produced :
% [108] b multiply a <-> additive_inverse(additive_inverse(c))
% Current number of equations to process: 1234
% Current number of ordered equations: 1460
% Current number of rules: 107
% New rule produced : [109] b multiply a <-> c add additive_identity
% Current number of equations to process: 1234
% Current number of ordered equations: 1457
% Current number of rules: 108
% New rule produced : [110] b multiply a <-> c multiply c
% Current number of equations to process: 1234
% Current number of ordered equations: 1451
% Current number of rules: 109
% New rule produced : [111] b multiply a <-> c multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 1441
% Current number of rules: 110
% New rule produced : [112] b multiply a <-> c multiply b
% Current number of equations to process: 1234
% Current number of ordered equations: 1431
% Current number of rules: 111
% New rule produced : [113] c multiply additive_inverse(a) <-> c
% Current number of equations to process: 1234
% Current number of ordered equations: 1426
% Current number of rules: 112
% New rule produced : [114] c multiply additive_inverse(b) <-> c
% Current number of equations to process: 1234
% Current number of ordered equations: 1421
% Current number of rules: 113
% New rule produced : [115] a multiply additive_inverse(c) <-> c
% Current number of equations to process: 1234
% Current number of ordered equations: 1416
% Current number of rules: 114
% New rule produced : [116] a multiply additive_inverse(b) <-> c
% Current number of equations to process: 1234
% Current number of ordered equations: 1411
% Current number of rules: 115
% New rule produced : [117] b multiply additive_inverse(c) <-> c
% Current number of equations to process: 1234
% Current number of ordered equations: 1406
% Current number of rules: 116
% New rule produced : [118] b multiply additive_inverse(a) <-> c
% Current number of equations to process: 1234
% Current number of ordered equations: 1401
% Current number of rules: 117
% New rule produced :
% [119] additive_inverse(X) <-> additive_inverse(X) multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 1397
% Current number of rules: 118
% New rule produced :
% [120] additive_inverse(additive_identity) <-> additive_inverse(X) add X
% Current number of equations to process: 1234
% Current number of ordered equations: 1392
% Current number of rules: 119
% New rule produced :
% [121]
% additive_inverse(additive_identity) <->
% additive_inverse(additive_identity) multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 1388
% Current number of rules: 120
% New rule produced :
% [122] additive_inverse(c) <-> c multiply additive_inverse(a)
% Current number of equations to process: 1234
% Current number of ordered equations: 1384
% Current number of rules: 121
% New rule produced :
% [123] additive_inverse(c) <-> c multiply additive_inverse(b)
% Current number of equations to process: 1234
% Current number of ordered equations: 1380
% Current number of rules: 122
% New rule produced :
% [124] additive_inverse(c) <-> a multiply additive_inverse(c)
% Current number of equations to process: 1234
% Current number of ordered equations: 1376
% Current number of rules: 123
% New rule produced :
% [125] additive_inverse(c) <-> a multiply additive_inverse(b)
% Current number of equations to process: 1234
% Current number of ordered equations: 1372
% Current number of rules: 124
% New rule produced :
% [126] additive_inverse(c) <-> b multiply additive_inverse(c)
% Current number of equations to process: 1234
% Current number of ordered equations: 1368
% Current number of rules: 125
% New rule produced :
% [127] additive_inverse(c) <-> b multiply additive_inverse(a)
% Current number of equations to process: 1234
% Current number of ordered equations: 1364
% Current number of rules: 126
% New rule produced :
% [128] additive_inverse(X) add X <-> additive_inverse(additive_identity)
% Current number of equations to process: 1234
% Current number of ordered equations: 1359
% Current number of rules: 127
% New rule produced :
% [129] additive_inverse(X) multiply X <-> additive_inverse(X)
% Current number of equations to process: 1234
% Current number of ordered equations: 1355
% Current number of rules: 128
% New rule produced :
% [130]
% additive_inverse(additive_identity) multiply X <->
% additive_inverse(additive_identity)
% Current number of equations to process: 1234
% Current number of ordered equations: 1351
% Current number of rules: 129
% New rule produced :
% [131] c multiply additive_inverse(a) <-> additive_inverse(c)
% Current number of equations to process: 1234
% Current number of ordered equations: 1347
% Current number of rules: 130
% New rule produced :
% [132] c multiply additive_inverse(b) <-> additive_inverse(c)
% Current number of equations to process: 1234
% Current number of ordered equations: 1343
% Current number of rules: 131
% New rule produced :
% [133] a multiply additive_inverse(c) <-> additive_inverse(c)
% Current number of equations to process: 1234
% Current number of ordered equations: 1339
% Current number of rules: 132
% New rule produced :
% [134] a multiply additive_inverse(b) <-> additive_inverse(c)
% Current number of equations to process: 1234
% Current number of ordered equations: 1335
% Current number of rules: 133
% New rule produced :
% [135] b multiply additive_inverse(c) <-> additive_inverse(c)
% Current number of equations to process: 1234
% Current number of ordered equations: 1331
% Current number of rules: 134
% New rule produced :
% [136] b multiply additive_inverse(a) <-> additive_inverse(c)
% Current number of equations to process: 1234
% Current number of ordered equations: 1327
% Current number of rules: 135
% New rule produced :
% [137] X <-> additive_inverse(additive_identity add additive_inverse(X))
% Current number of equations to process: 1234
% Current number of ordered equations: 1324
% Current number of rules: 136
% New rule produced :
% [138] X <-> additive_inverse(additive_inverse(X multiply X))
% Current number of equations to process: 1234
% Current number of ordered equations: 1321
% Current number of rules: 137
% New rule produced :
% [139] X <-> additive_inverse(additive_inverse(additive_identity add X))
% Current number of equations to process: 1234
% Current number of ordered equations: 1318
% Current number of rules: 138
% New rule produced :
% [140]
% X <->
% additive_inverse(additive_inverse(additive_inverse(additive_inverse(X))))
% Current number of equations to process: 1234
% Current number of ordered equations: 1315
% Current number of rules: 139
% New rule produced : [141] X <-> X multiply X multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 1312
% Current number of rules: 140
% New rule produced :
% [142] X <-> additive_identity add additive_inverse(additive_inverse(X))
% Current number of equations to process: 1234
% Current number of ordered equations: 1309
% Current number of rules: 141
% New rule produced : [143] X <-> additive_identity add (X multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 1306
% Current number of rules: 142
% New rule produced :
% [144] X <-> additive_inverse(additive_inverse(additive_identity)) add X
% Current number of equations to process: 1234
% Current number of ordered equations: 1303
% Current number of rules: 143
% New rule produced :
% [145] X <-> (additive_identity multiply additive_identity) add X
% Current number of equations to process: 1234
% Current number of ordered equations: 1300
% Current number of rules: 144
% New rule produced :
% [146] X <-> additive_inverse(X) multiply additive_inverse(X)
% Current number of equations to process: 1234
% Current number of ordered equations: 1298
% Current number of rules: 145
% New rule produced : [147] X <-> additive_identity add additive_identity add X
% Current number of equations to process: 1234
% Current number of ordered equations: 1295
% Current number of rules: 146
% New rule produced : [148] Y <-> (additive_identity multiply X) add Y
% Rule [145] X <-> (additive_identity multiply additive_identity) add X
% collapsed.
% Current number of equations to process: 1234
% Current number of ordered equations: 1289
% Current number of rules: 146
% New rule produced : [149] Y <-> X add X add Y
% Rule [147] X <-> additive_identity add additive_identity add X collapsed.
% Current number of equations to process: 1234
% Current number of ordered equations: 1276
% Current number of rules: 146
% New rule produced :
% [150] c <-> additive_inverse(additive_inverse(b multiply a))
% Current number of equations to process: 1234
% Current number of ordered equations: 1273
% Current number of rules: 147
% New rule produced :
% [151] c <-> additive_inverse(additive_inverse(c multiply a))
% Current number of equations to process: 1234
% Current number of ordered equations: 1270
% Current number of rules: 148
% New rule produced :
% [152] c <-> additive_inverse(additive_inverse(c multiply b))
% Current number of equations to process: 1234
% Current number of ordered equations: 1267
% Current number of rules: 149
% New rule produced : [153] c <-> additive_identity add (b multiply a)
% Current number of equations to process: 1234
% Current number of ordered equations: 1264
% Current number of rules: 150
% New rule produced : [154] c <-> additive_identity add (c multiply b)
% Current number of equations to process: 1234
% Current number of ordered equations: 1261
% Current number of rules: 151
% New rule produced : [155] c <-> additive_identity add (c multiply a)
% Current number of equations to process: 1234
% Current number of ordered equations: 1258
% Current number of rules: 152
% New rule produced :
% [156] c <-> c multiply additive_inverse(additive_inverse(a))
% Current number of equations to process: 1234
% Current number of ordered equations: 1253
% Current number of rules: 153
% New rule produced :
% [157] c <-> c multiply additive_inverse(additive_inverse(b))
% Current number of equations to process: 1234
% Current number of ordered equations: 1248
% Current number of rules: 154
% New rule produced :
% [158] c <-> a multiply additive_inverse(additive_inverse(c))
% Current number of equations to process: 1234
% Current number of ordered equations: 1243
% Current number of rules: 155
% New rule produced :
% [159] c <-> a multiply additive_inverse(additive_inverse(b))
% Current number of equations to process: 1234
% Current number of ordered equations: 1238
% Current number of rules: 156
% New rule produced :
% [160] c <-> b multiply additive_inverse(additive_inverse(a))
% Current number of equations to process: 1234
% Current number of ordered equations: 1233
% Current number of rules: 157
% New rule produced :
% [161] c <-> b multiply additive_inverse(additive_inverse(c))
% Current number of equations to process: 1234
% Current number of ordered equations: 1228
% Current number of rules: 158
% New rule produced : [162] c <-> c multiply c multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 1221
% Current number of rules: 159
% New rule produced : [163] c <-> c multiply c multiply b
% Current number of equations to process: 1234
% Current number of ordered equations: 1213
% Current number of rules: 160
% New rule produced : [164] c <-> c multiply a multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 1208
% Current number of rules: 161
% New rule produced : [165] c <-> c multiply b multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 1196
% Current number of rules: 162
% New rule produced : [166] c <-> c multiply b multiply b
% Current number of equations to process: 1234
% Current number of ordered equations: 1188
% Current number of rules: 163
% New rule produced : [167] c <-> b multiply a multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 1180
% Current number of rules: 164
% New rule produced : [168] c <-> b multiply b multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 1172
% Current number of rules: 165
% New rule produced : [169] c <-> (a add additive_identity) multiply c
% Current number of equations to process: 1234
% Current number of ordered equations: 1167
% Current number of rules: 166
% New rule produced : [170] c <-> (a add additive_identity) multiply b
% Current number of equations to process: 1234
% Current number of ordered equations: 1162
% Current number of rules: 167
% New rule produced : [171] c <-> (c add additive_identity) multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 1157
% Current number of rules: 168
% New rule produced : [172] c <-> (c add additive_identity) multiply b
% Current number of equations to process: 1234
% Current number of ordered equations: 1152
% Current number of rules: 169
% New rule produced : [173] c <-> (b add additive_identity) multiply c
% Current number of equations to process: 1234
% Current number of ordered equations: 1147
% Current number of rules: 170
% New rule produced : [174] c <-> (b add additive_identity) multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 1142
% Current number of rules: 171
% New rule produced :
% [175] additive_identity <-> additive_inverse(additive_inverse(X) add X)
% Current number of equations to process: 1234
% Current number of ordered equations: 1136
% Current number of rules: 172
% New rule produced :
% [176]
% additive_identity <->
% additive_inverse(additive_inverse(additive_identity multiply X))
% Current number of equations to process: 1234
% Current number of ordered equations: 1133
% Current number of rules: 173
% New rule produced :
% [177] additive_identity <-> additive_inverse(additive_inverse(X add X))
% Current number of equations to process: 1234
% Current number of ordered equations: 1130
% Current number of rules: 174
% New rule produced :
% [178] additive_identity <-> additive_inverse(additive_inverse(X)) add X
% Current number of equations to process: 1234
% Current number of ordered equations: 1125
% Current number of rules: 175
% New rule produced :
% [179]
% additive_identity <->
% additive_inverse(additive_inverse(additive_identity)) multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 1121
% Current number of rules: 176
% New rule produced :
% [180]
% additive_identity <-> (additive_identity add additive_identity) multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 1117
% Current number of rules: 177
% New rule produced : [181] additive_identity <-> (X add X) multiply Y
% Rule
% [180]
% additive_identity <-> (additive_identity add additive_identity) multiply X
% collapsed.
% Current number of equations to process: 1234
% Current number of ordered equations: 1111
% Current number of rules: 177
% New rule produced :
% [182] additive_inverse(additive_inverse(X) add X) <-> additive_identity
% Current number of equations to process: 1234
% Current number of ordered equations: 1105
% Current number of rules: 178
% New rule produced :
% [183]
% additive_inverse(additive_inverse(additive_identity)) <->
% additive_inverse(X) add X
% Current number of equations to process: 1234
% Current number of ordered equations: 1102
% Current number of rules: 179
% New rule produced :
% [184] additive_inverse(additive_identity add additive_inverse(X)) <-> X
% Current number of equations to process: 1234
% Current number of ordered equations: 1099
% Current number of rules: 180
% New rule produced :
% [185] additive_inverse(additive_inverse(X multiply X)) <-> X
% Current number of equations to process: 1234
% Current number of ordered equations: 1096
% Current number of rules: 181
% New rule produced :
% [186] additive_inverse(additive_inverse(b multiply a)) <-> c
% Current number of equations to process: 1234
% Current number of ordered equations: 1093
% Current number of rules: 182
% New rule produced :
% [187] additive_inverse(additive_inverse(c multiply a)) <-> c
% Current number of equations to process: 1234
% Current number of ordered equations: 1090
% Current number of rules: 183
% New rule produced :
% [188] additive_inverse(additive_inverse(c multiply b)) <-> c
% Current number of equations to process: 1234
% Current number of ordered equations: 1087
% Current number of rules: 184
% New rule produced :
% [189]
% additive_inverse(additive_inverse(additive_identity multiply X)) <->
% additive_identity
% Current number of equations to process: 1234
% Current number of ordered equations: 1084
% Current number of rules: 185
% New rule produced :
% [190] additive_inverse(additive_inverse(additive_identity add X)) <-> X
% Current number of equations to process: 1234
% Current number of ordered equations: 1081
% Current number of rules: 186
% New rule produced :
% [191] additive_inverse(additive_inverse(X add X)) <-> additive_identity
% Current number of equations to process: 1234
% Current number of ordered equations: 1078
% Current number of rules: 187
% New rule produced :
% [192]
% additive_inverse(additive_inverse(additive_inverse(additive_inverse(X)))) <->
% X
% Current number of equations to process: 1234
% Current number of ordered equations: 1075
% Current number of rules: 188
% New rule produced : [193] X multiply X multiply X <-> X
% Current number of equations to process: 1234
% Current number of ordered equations: 1072
% Current number of rules: 189
% New rule produced : [194] X add X <-> additive_inverse(Y) add Y
% Current number of equations to process: 1234
% Current number of ordered equations: 1061
% Current number of rules: 190
% New rule produced :
% [195] additive_identity add additive_inverse(additive_inverse(X)) <-> X
% Current number of equations to process: 1234
% Current number of ordered equations: 1058
% Current number of rules: 191
% New rule produced :
% [196]
% additive_identity add (additive_identity multiply X) <-> additive_identity
% Current number of equations to process: 1234
% Current number of ordered equations: 1055
% Current number of rules: 192
% New rule produced : [197] additive_identity add (X multiply X) <-> X
% Current number of equations to process: 1234
% Current number of ordered equations: 1052
% Current number of rules: 193
% New rule produced : [198] additive_identity add (b multiply a) <-> c
% Current number of equations to process: 1234
% Current number of ordered equations: 1049
% Current number of rules: 194
% New rule produced : [199] additive_identity add (c multiply b) <-> c
% Current number of equations to process: 1234
% Current number of ordered equations: 1046
% Current number of rules: 195
% New rule produced : [200] additive_identity add (c multiply a) <-> c
% Current number of equations to process: 1234
% Current number of ordered equations: 1043
% Current number of rules: 196
% New rule produced :
% [201]
% additive_inverse(X) add X <->
% additive_inverse(additive_inverse(additive_identity))
% Current number of equations to process: 1234
% Current number of ordered equations: 1040
% Current number of rules: 197
% New rule produced :
% [202] additive_inverse(X) add X <-> additive_identity add additive_identity
% Current number of equations to process: 1234
% Current number of ordered equations: 1034
% Current number of rules: 198
% New rule produced :
% [203]
% additive_inverse(X) add X <-> additive_identity multiply additive_identity
% Current number of equations to process: 1234
% Current number of ordered equations: 1031
% Current number of rules: 199
% New rule produced :
% [204] additive_inverse(additive_inverse(X)) add X <-> additive_identity
% Current number of equations to process: 1234
% Current number of ordered equations: 1026
% Current number of rules: 200
% New rule produced : [205] (additive_identity multiply X) add Y <-> Y
% Rule
% [196]
% additive_identity add (additive_identity multiply X) <-> additive_identity
% collapsed.
% Current number of equations to process: 1234
% Current number of ordered equations: 1020
% Current number of rules: 200
% New rule produced : [206] additive_inverse(Y) add Y <-> X add X
% Rule
% [202] additive_inverse(X) add X <-> additive_identity add additive_identity
% collapsed.
% Current number of equations to process: 1234
% Current number of ordered equations: 1015
% Current number of rules: 200
% New rule produced :
% [207] additive_inverse(Y) add Y <-> additive_identity multiply X
% Rule
% [203]
% additive_inverse(X) add X <-> additive_identity multiply additive_identity
% collapsed.
% Current number of equations to process: 1234
% Current number of ordered equations: 1012
% Current number of rules: 200
% New rule produced :
% [208] additive_inverse(additive_inverse(additive_identity)) add X <-> X
% Current number of equations to process: 1234
% Current number of ordered equations: 1009
% Current number of rules: 201
% New rule produced :
% [209] additive_identity multiply X <-> additive_inverse(Y) add Y
% Current number of equations to process: 1234
% Current number of ordered equations: 1003
% Current number of rules: 202
% New rule produced :
% [210] additive_inverse(X) multiply additive_inverse(X) <-> X
% Current number of equations to process: 1234
% Current number of ordered equations: 1001
% Current number of rules: 203
% New rule produced :
% [211] c multiply additive_inverse(additive_inverse(a)) <-> c
% Current number of equations to process: 1234
% Current number of ordered equations: 996
% Current number of rules: 204
% New rule produced :
% [212] c multiply additive_inverse(additive_inverse(b)) <-> c
% Current number of equations to process: 1234
% Current number of ordered equations: 991
% Current number of rules: 205
% New rule produced :
% [213] a multiply additive_inverse(additive_inverse(c)) <-> c
% Current number of equations to process: 1234
% Current number of ordered equations: 986
% Current number of rules: 206
% New rule produced :
% [214] a multiply additive_inverse(additive_inverse(b)) <-> c
% Current number of equations to process: 1234
% Current number of ordered equations: 981
% Current number of rules: 207
% New rule produced :
% [215] b multiply additive_inverse(additive_inverse(a)) <-> c
% Current number of equations to process: 1234
% Current number of ordered equations: 976
% Current number of rules: 208
% New rule produced :
% [216] b multiply additive_inverse(additive_inverse(c)) <-> c
% Current number of equations to process: 1234
% Current number of ordered equations: 971
% Current number of rules: 209
% New rule produced :
% [217]
% additive_inverse(additive_inverse(additive_identity)) multiply X <->
% additive_identity
% Current number of equations to process: 1234
% Current number of ordered equations: 967
% Current number of rules: 210
% New rule produced :
% [218]
% (additive_identity add additive_identity) multiply X <-> additive_identity
% Current number of equations to process: 1234
% Current number of ordered equations: 963
% Current number of rules: 211
% New rule produced : [219] (X add X) multiply Y <-> additive_identity
% Rule
% [218]
% (additive_identity add additive_identity) multiply X <-> additive_identity
% collapsed.
% Current number of equations to process: 1234
% Current number of ordered equations: 957
% Current number of rules: 211
% New rule produced : [220] c multiply c multiply a <-> c
% Current number of equations to process: 1234
% Current number of ordered equations: 950
% Current number of rules: 212
% New rule produced : [221] c multiply c multiply b <-> c
% Current number of equations to process: 1234
% Current number of ordered equations: 942
% Current number of rules: 213
% New rule produced : [222] c multiply a multiply a <-> c
% Current number of equations to process: 1234
% Current number of ordered equations: 937
% Current number of rules: 214
% New rule produced : [223] c multiply b multiply a <-> c
% Current number of equations to process: 1234
% Current number of ordered equations: 925
% Current number of rules: 215
% New rule produced : [224] c multiply b multiply b <-> c
% Current number of equations to process: 1234
% Current number of ordered equations: 917
% Current number of rules: 216
% New rule produced : [225] b multiply a multiply a <-> c
% Current number of equations to process: 1234
% Current number of ordered equations: 909
% Current number of rules: 217
% New rule produced : [226] b multiply b multiply a <-> c
% Current number of equations to process: 1234
% Current number of ordered equations: 901
% Current number of rules: 218
% New rule produced : [227] X add X add Y <-> Y
% Current number of equations to process: 1234
% Current number of ordered equations: 885
% Current number of rules: 219
% New rule produced : [228] (a add additive_identity) multiply c <-> c
% Current number of equations to process: 1234
% Current number of ordered equations: 880
% Current number of rules: 220
% New rule produced : [229] (a add additive_identity) multiply b <-> c
% Current number of equations to process: 1234
% Current number of ordered equations: 875
% Current number of rules: 221
% New rule produced : [230] (c add additive_identity) multiply a <-> c
% Current number of equations to process: 1234
% Current number of ordered equations: 870
% Current number of rules: 222
% New rule produced : [231] (c add additive_identity) multiply b <-> c
% Current number of equations to process: 1234
% Current number of ordered equations: 865
% Current number of rules: 223
% New rule produced : [232] (b add additive_identity) multiply c <-> c
% Current number of equations to process: 1234
% Current number of ordered equations: 860
% Current number of rules: 224
% New rule produced : [233] (b add additive_identity) multiply a <-> c
% Current number of equations to process: 1234
% Current number of ordered equations: 855
% Current number of rules: 225
% New rule produced :
% [234]
% additive_inverse(X) <-> additive_inverse(additive_inverse(X) multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 851
% Current number of rules: 226
% New rule produced :
% [235] additive_inverse(X add Y) <-> additive_inverse(X) add Y
% Current number of equations to process: 1234
% Current number of ordered equations: 847
% Current number of rules: 227
% New rule produced :
% [236]
% additive_inverse(additive_inverse(X) multiply X) <-> additive_inverse(X)
% Current number of equations to process: 1234
% Current number of ordered equations: 843
% Current number of rules: 228
% New rule produced :
% [237] additive_inverse(X) add Y <-> additive_inverse(X add Y)
% Current number of equations to process: 1234
% Current number of ordered equations: 839
% Current number of rules: 229
% New rule produced :
% [238] additive_inverse(X) add X <-> additive_inverse(Y) add Y
% Current number of equations to process: 1234
% Current number of ordered equations: 835
% Current number of rules: 230
% New rule produced :
% [239] additive_inverse(X) multiply Y <-> additive_inverse(Y) multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 821
% Current number of rules: 231
% New rule produced :
% [240]
% X <-> additive_inverse(additive_inverse(X) multiply additive_inverse(X))
% Current number of equations to process: 1234
% Current number of ordered equations: 819
% Current number of rules: 232
% New rule produced : [241] Y <-> additive_inverse(X) add X add Y
% Current number of equations to process: 1234
% Current number of ordered equations: 814
% Current number of rules: 233
% New rule produced :
% [242]
% additive_identity <->
% additive_inverse(additive_inverse(additive_inverse(X) add X))
% Current number of equations to process: 1234
% Current number of ordered equations: 811
% Current number of rules: 234
% New rule produced :
% [243] additive_identity <-> additive_identity add additive_inverse(X add X)
% Current number of equations to process: 1234
% Current number of ordered equations: 807
% Current number of rules: 235
% New rule produced :
% [244] additive_identity <-> (additive_inverse(X) add X) multiply Y
% Current number of equations to process: 1234
% Current number of ordered equations: 805
% Current number of rules: 236
% New rule produced :
% [245] additive_identity <-> additive_inverse(additive_identity add X) add X
% Current number of equations to process: 1234
% Current number of ordered equations: 802
% Current number of rules: 237
% New rule produced :
% [246]
% additive_identity <->
% additive_inverse(additive_inverse(additive_inverse(X))) add X
% Current number of equations to process: 1234
% Current number of ordered equations: 800
% Current number of rules: 238
% New rule produced :
% [247] additive_inverse(additive_inverse(X) multiply Y) <-> X multiply Y
% Current number of equations to process: 1234
% Current number of ordered equations: 793
% Current number of rules: 239
% New rule produced :
% [248]
% additive_inverse(additive_inverse(additive_inverse(X) add X)) <->
% additive_identity
% Current number of equations to process: 1234
% Current number of ordered equations: 790
% Current number of rules: 240
% New rule produced :
% [249]
% additive_inverse(additive_inverse(X) multiply additive_inverse(X)) <-> X
% Current number of equations to process: 1234
% Current number of ordered equations: 788
% Current number of rules: 241
% New rule produced :
% [250] X add Y <-> additive_inverse(X) add additive_inverse(Y)
% Current number of equations to process: 1234
% Current number of ordered equations: 784
% Current number of rules: 242
% New rule produced :
% [251] additive_inverse(X) add additive_inverse(Y) <-> X add Y
% Current number of equations to process: 1234
% Current number of ordered equations: 780
% Current number of rules: 243
% New rule produced :
% [252] additive_identity add additive_inverse(X add X) <-> additive_identity
% Current number of equations to process: 1234
% Current number of ordered equations: 776
% Current number of rules: 244
% New rule produced :
% [253] X multiply Y <-> additive_inverse(additive_inverse(X) multiply Y)
% Current number of equations to process: 1234
% Current number of ordered equations: 769
% Current number of rules: 245
% New rule produced :
% [254] (additive_inverse(X) add X) multiply Y <-> additive_identity
% Current number of equations to process: 1234
% Current number of ordered equations: 767
% Current number of rules: 246
% New rule produced :
% [255] additive_identity add additive_inverse(X) add X <-> additive_identity
% Current number of equations to process: 1234
% Current number of ordered equations: 764
% Current number of rules: 247
% New rule produced : [256] additive_inverse(X) add X add Y <-> Y
% Rule
% [255] additive_identity add additive_inverse(X) add X <-> additive_identity
% collapsed.
% Current number of equations to process: 1234
% Current number of ordered equations: 762
% Current number of rules: 247
% New rule produced :
% [257] additive_inverse(additive_identity add X) add X <-> additive_identity
% Current number of equations to process: 1234
% Current number of ordered equations: 759
% Current number of rules: 248
% New rule produced :
% [258]
% additive_inverse(additive_inverse(additive_inverse(X))) add X <->
% additive_identity
% Current number of equations to process: 1234
% Current number of ordered equations: 757
% Current number of rules: 249
% New rule produced : [259] X multiply Y multiply Y <-> X multiply Y
% Current number of equations to process: 1234
% Current number of ordered equations: 756
% Current number of rules: 250
% New rule produced : [260] X multiply Y <-> X multiply Y multiply Y
% Current number of equations to process: 1234
% Current number of ordered equations: 755
% Current number of rules: 251
% New rule produced :
% [261]
% additive_identity <->
% additive_inverse(additive_identity multiply X) multiply Y
% Current number of equations to process: 1234
% Current number of ordered equations: 751
% Current number of rules: 252
% New rule produced :
% [262]
% additive_inverse(additive_identity multiply X) multiply Y <->
% additive_identity
% Current number of equations to process: 1234
% Current number of ordered equations: 747
% Current number of rules: 253
% New rule produced :
% [263] additive_inverse(X multiply Y) <-> X multiply X multiply Y
% Current number of equations to process: 1234
% Current number of ordered equations: 745
% Current number of rules: 254
% New rule produced :
% [264]
% additive_inverse(X multiply Y) <->
% additive_inverse(additive_inverse(X)) multiply Y
% Current number of equations to process: 1234
% Current number of ordered equations: 742
% Current number of rules: 255
% New rule produced :
% [265]
% additive_inverse(additive_inverse(X multiply Y)) <->
% additive_inverse(X) multiply Y
% Current number of equations to process: 1234
% Current number of ordered equations: 740
% Current number of rules: 256
% New rule produced :
% [266]
% additive_inverse(additive_inverse(X multiply Y)) <->
% additive_inverse(Y) multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 738
% Current number of rules: 257
% New rule produced :
% [267] additive_inverse(b multiply a) <-> c multiply b multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 735
% Current number of rules: 258
% New rule produced :
% [268] additive_inverse(c multiply X) <-> c multiply a multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 733
% Current number of rules: 259
% New rule produced :
% [269] additive_inverse(c multiply X) <-> c multiply b multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 731
% Current number of rules: 260
% New rule produced :
% [270] additive_inverse(c multiply X) <-> b multiply a multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 729
% Current number of rules: 261
% New rule produced :
% [271]
% additive_inverse(additive_inverse(Y) add X) <-> additive_inverse(X) add Y
% Current number of equations to process: 1234
% Current number of ordered equations: 726
% Current number of rules: 262
% New rule produced :
% [272] X multiply X multiply Y <-> additive_inverse(X multiply Y)
% Current number of equations to process: 1234
% Current number of ordered equations: 724
% Current number of rules: 263
% New rule produced :
% [273]
% additive_inverse(X) add Y <-> additive_inverse(additive_inverse(Y) add X)
% Current number of equations to process: 1234
% Current number of ordered equations: 721
% Current number of rules: 264
% New rule produced :
% [274]
% additive_inverse(X) multiply Y <->
% additive_inverse(additive_inverse(X multiply Y))
% Current number of equations to process: 1234
% Current number of ordered equations: 719
% Current number of rules: 265
% New rule produced :
% [275]
% additive_inverse(additive_inverse(X)) multiply Y <->
% additive_inverse(X multiply Y)
% Current number of equations to process: 1234
% Current number of ordered equations: 716
% Current number of rules: 266
% New rule produced :
% [276]
% additive_inverse(Y) multiply X <->
% additive_inverse(additive_inverse(X multiply Y))
% Current number of equations to process: 1234
% Current number of ordered equations: 714
% Current number of rules: 267
% New rule produced :
% [277] a multiply additive_inverse(b) <-> c multiply b multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 711
% Current number of rules: 268
% New rule produced :
% [278] b multiply additive_inverse(a) <-> c multiply b multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 708
% Current number of rules: 269
% New rule produced :
% [279] c multiply a multiply X <-> additive_inverse(c multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 706
% Current number of rules: 270
% New rule produced :
% [280] c multiply b multiply X <-> additive_inverse(c multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 704
% Current number of rules: 271
% New rule produced :
% [281] c multiply b multiply a <-> additive_inverse(b multiply a)
% Current number of equations to process: 1234
% Current number of ordered equations: 701
% Current number of rules: 272
% New rule produced :
% [282] c multiply b multiply a <-> a multiply additive_inverse(b)
% Current number of equations to process: 1234
% Current number of ordered equations: 698
% Current number of rules: 273
% New rule produced :
% [283] c multiply b multiply a <-> b multiply additive_inverse(a)
% Current number of equations to process: 1234
% Current number of ordered equations: 695
% Current number of rules: 274
% New rule produced :
% [284] b multiply a multiply X <-> additive_inverse(c multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 693
% Current number of rules: 275
% New rule produced :
% [285]
% additive_inverse(additive_identity) <->
% additive_inverse(additive_identity multiply X) multiply Y
% Current number of equations to process: 1234
% Current number of ordered equations: 691
% Current number of rules: 276
% New rule produced :
% [286]
% additive_inverse(additive_identity multiply X) multiply Y <->
% additive_inverse(additive_identity)
% Current number of equations to process: 1234
% Current number of ordered equations: 689
% Current number of rules: 277
% New rule produced :
% [287] X <-> (additive_identity add X) multiply (additive_identity add X)
% Current number of equations to process: 1234
% Current number of ordered equations: 687
% Current number of rules: 278
% New rule produced :
% [288]
% X <->
% additive_inverse(additive_inverse(X)) multiply additive_inverse(additive_inverse(X))
% Current number of equations to process: 1234
% Current number of ordered equations: 685
% Current number of rules: 279
% New rule produced : [289] X <-> X multiply X multiply X multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 683
% Current number of rules: 280
% New rule produced : [290] c <-> b multiply b multiply a multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 681
% Current number of rules: 281
% New rule produced : [291] c <-> c multiply c multiply a multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 679
% Current number of rules: 282
% New rule produced : [292] c <-> c multiply c multiply b multiply b
% Current number of equations to process: 1234
% Current number of ordered equations: 677
% Current number of rules: 283
% New rule produced :
% [293]
% additive_identity <->
% additive_identity add additive_inverse(additive_inverse(X) add X)
% Current number of equations to process: 1234
% Current number of ordered equations: 675
% Current number of rules: 284
% New rule produced :
% [294]
% additive_identity <->
% (additive_inverse(X) multiply additive_inverse(X)) add X
% Current number of equations to process: 1234
% Current number of ordered equations: 673
% Current number of rules: 285
% New rule produced :
% [295]
% additive_inverse(additive_inverse(X) add additive_inverse(Y)) <-> X add Y
% Current number of equations to process: 1234
% Current number of ordered equations: 669
% Current number of rules: 286
% New rule produced :
% [296]
% additive_inverse(additive_inverse(X add Y)) <->
% additive_inverse(X) add additive_inverse(Y)
% Current number of equations to process: 1234
% Current number of ordered equations: 667
% Current number of rules: 287
% New rule produced :
% [297]
% additive_inverse(additive_inverse(X multiply Y)) <-> X multiply X multiply Y
% Current number of equations to process: 1234
% Current number of ordered equations: 666
% Current number of rules: 288
% New rule produced :
% [298]
% additive_inverse(additive_inverse(X multiply Y)) <->
% additive_inverse(X) multiply additive_inverse(Y)
% Current number of equations to process: 1234
% Current number of ordered equations: 662
% Current number of rules: 289
% New rule produced :
% [299]
% additive_inverse(additive_inverse(X multiply Y)) <->
% additive_inverse(additive_inverse(X)) multiply Y
% Current number of equations to process: 1234
% Current number of ordered equations: 660
% Current number of rules: 290
% New rule produced :
% [300]
% additive_inverse(additive_inverse(X multiply Y)) <->
% additive_inverse(additive_inverse(Y)) multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 657
% Current number of rules: 291
% New rule produced :
% [301] additive_inverse(X add X add Y) <-> additive_identity add Y
% Current number of equations to process: 1234
% Current number of ordered equations: 655
% Current number of rules: 292
% New rule produced :
% [302]
% additive_inverse(additive_inverse(b multiply a)) <-> c multiply b multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 653
% Current number of rules: 293
% New rule produced :
% [303]
% additive_inverse(additive_inverse(c multiply X)) <-> c multiply a multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 652
% Current number of rules: 294
% New rule produced :
% [304]
% additive_inverse(additive_inverse(c multiply X)) <-> c multiply b multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 651
% Current number of rules: 295
% New rule produced :
% [305]
% additive_inverse(additive_inverse(c multiply X)) <-> b multiply a multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 650
% Current number of rules: 296
% New rule produced :
% [306] additive_inverse(c multiply a multiply X) <-> c multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 648
% Current number of rules: 297
% New rule produced :
% [307] additive_inverse(X multiply X multiply Y) <-> X multiply Y
% Current number of equations to process: 1234
% Current number of ordered equations: 646
% Current number of rules: 298
% New rule produced :
% [308] additive_inverse(c multiply b multiply X) <-> c multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 644
% Current number of rules: 299
% New rule produced :
% [309] additive_inverse(b multiply a multiply X) <-> c multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 642
% Current number of rules: 300
% New rule produced :
% [310] additive_inverse(c multiply b multiply a) <-> b multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 640
% Current number of rules: 301
% New rule produced : [311] b multiply b multiply a multiply a <-> c
% Current number of equations to process: 1234
% Current number of ordered equations: 638
% Current number of rules: 302
% New rule produced :
% [312]
% X multiply X multiply Y <-> additive_inverse(additive_inverse(X multiply Y))
% Current number of equations to process: 1234
% Current number of ordered equations: 637
% Current number of rules: 303
% New rule produced : [313] X multiply X multiply Y <-> X multiply Y multiply Y
% Current number of equations to process: 1234
% Current number of ordered equations: 633
% Current number of rules: 304
% New rule produced :
% [314] X multiply X multiply Y <-> additive_identity add (X multiply Y)
% Current number of equations to process: 1234
% Current number of ordered equations: 632
% Current number of rules: 305
% New rule produced :
% [315]
% X add Y <-> additive_inverse(additive_inverse(X) add additive_inverse(Y))
% Current number of equations to process: 1234
% Current number of ordered equations: 628
% Current number of rules: 306
% New rule produced :
% [316] additive_identity add Y <-> additive_inverse(X add X add Y)
% Current number of equations to process: 1234
% Current number of ordered equations: 626
% Current number of rules: 307
% New rule produced :
% [317] additive_identity add (X multiply Y) <-> X multiply X multiply Y
% Current number of equations to process: 1234
% Current number of ordered equations: 625
% Current number of rules: 308
% New rule produced :
% [318] additive_identity add (b multiply a) <-> c multiply b multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 623
% Current number of rules: 309
% New rule produced :
% [319]
% additive_identity add additive_inverse(additive_inverse(X) add X) <->
% additive_identity
% Current number of equations to process: 1234
% Current number of ordered equations: 621
% Current number of rules: 310
% New rule produced :
% [320] additive_identity add (c multiply X) <-> c multiply a multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 620
% Current number of rules: 311
% New rule produced :
% [321] additive_identity add (c multiply X) <-> c multiply b multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 619
% Current number of rules: 312
% New rule produced :
% [322] additive_identity add (c multiply X) <-> b multiply a multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 618
% Current number of rules: 313
% New rule produced :
% [323]
% additive_inverse(X) add additive_inverse(Y) <->
% additive_inverse(additive_inverse(X add Y))
% Current number of equations to process: 1234
% Current number of ordered equations: 616
% Current number of rules: 314
% New rule produced :
% [324] X multiply Y <-> additive_inverse(X multiply X multiply Y)
% Current number of equations to process: 1234
% Current number of ordered equations: 614
% Current number of rules: 315
% New rule produced :
% [325] X multiply Y <-> additive_inverse(X multiply Y) multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 613
% Current number of rules: 316
% New rule produced :
% [326] (additive_identity add X) multiply (additive_identity add X) <-> X
% Current number of equations to process: 1234
% Current number of ordered equations: 611
% Current number of rules: 317
% New rule produced :
% [327]
% additive_inverse(X) multiply additive_inverse(Y) <->
% additive_inverse(additive_inverse(X multiply Y))
% Current number of equations to process: 1234
% Current number of ordered equations: 607
% Current number of rules: 318
% New rule produced :
% [328]
% additive_inverse(additive_inverse(X)) multiply Y <->
% additive_inverse(additive_inverse(X multiply Y))
% Current number of equations to process: 1234
% Current number of ordered equations: 605
% Current number of rules: 319
% New rule produced :
% [329]
% additive_inverse(additive_inverse(X)) multiply additive_inverse(additive_inverse(X))
% <-> X
% Current number of equations to process: 1234
% Current number of ordered equations: 603
% Current number of rules: 320
% New rule produced :
% [330] additive_inverse(X multiply Y) multiply X <-> X multiply Y
% Current number of equations to process: 1234
% Current number of ordered equations: 602
% Current number of rules: 321
% New rule produced :
% [331] c multiply X <-> additive_inverse(c multiply a multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 600
% Current number of rules: 322
% New rule produced :
% [332] c multiply X <-> additive_inverse(c multiply b multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 598
% Current number of rules: 323
% New rule produced :
% [333] c multiply X <-> additive_inverse(b multiply a multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 596
% Current number of rules: 324
% New rule produced :
% [334] c multiply X <-> c multiply additive_inverse(b multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 595
% Current number of rules: 325
% New rule produced :
% [335] c multiply X <-> a multiply additive_inverse(c multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 594
% Current number of rules: 326
% New rule produced :
% [336] c multiply X <-> a multiply additive_inverse(b multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 593
% Current number of rules: 327
% New rule produced :
% [337] b multiply a <-> additive_inverse(c multiply b multiply a)
% Current number of equations to process: 1234
% Current number of ordered equations: 591
% Current number of rules: 328
% New rule produced :
% [338] b multiply a <-> b multiply additive_inverse(c multiply a)
% Current number of equations to process: 1234
% Current number of ordered equations: 590
% Current number of rules: 329
% New rule produced :
% [339] b multiply a <-> c multiply a multiply additive_inverse(b)
% Current number of equations to process: 1234
% Current number of ordered equations: 588
% Current number of rules: 330
% New rule produced :
% [340] b multiply a <-> c multiply b multiply additive_inverse(a)
% Current number of equations to process: 1234
% Current number of ordered equations: 586
% Current number of rules: 331
% New rule produced :
% [341] b multiply a <-> b multiply a multiply additive_inverse(c)
% Current number of equations to process: 1234
% Current number of ordered equations: 584
% Current number of rules: 332
% New rule produced :
% [342] c multiply additive_inverse(b multiply X) <-> c multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 583
% Current number of rules: 333
% New rule produced :
% [343] a multiply additive_inverse(c multiply X) <-> c multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 582
% Current number of rules: 334
% New rule produced :
% [344] a multiply additive_inverse(b multiply X) <-> c multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 581
% Current number of rules: 335
% New rule produced :
% [345]
% a multiply additive_inverse(additive_inverse(b)) <-> c multiply b multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 579
% Current number of rules: 336
% New rule produced :
% [346] b multiply additive_inverse(c multiply a) <-> b multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 578
% Current number of rules: 337
% New rule produced :
% [347]
% b multiply additive_inverse(additive_inverse(a)) <-> c multiply b multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 576
% Current number of rules: 338
% New rule produced :
% [348]
% additive_inverse(additive_inverse(Y)) multiply X <->
% additive_inverse(additive_inverse(X multiply Y))
% Current number of equations to process: 1234
% Current number of ordered equations: 573
% Current number of rules: 339
% New rule produced :
% [349] (eq)((X multiply Y) add (X multiply Y),additive_identity) -> (false)
% Current number of equations to process: 1234
% Current number of ordered equations: 572
% Current number of rules: 340
% New rule produced : [350] X multiply X multiply X multiply X <-> X
% Current number of equations to process: 1234
% Current number of ordered equations: 570
% Current number of rules: 341
% New rule produced : [351] c multiply X multiply X <-> c multiply a multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 568
% Current number of rules: 342
% New rule produced : [352] c multiply X multiply X <-> c multiply b multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 566
% Current number of rules: 343
% New rule produced : [353] c multiply X multiply X <-> b multiply a multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 564
% Current number of rules: 344
% New rule produced :
% [354]
% c multiply a multiply X <-> additive_inverse(additive_inverse(c multiply X))
% Current number of equations to process: 1234
% Current number of ordered equations: 563
% Current number of rules: 345
% New rule produced :
% [355] c multiply a multiply X <-> additive_identity add (c multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 562
% Current number of rules: 346
% New rule produced : [356] c multiply a multiply X <-> c multiply X multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 560
% Current number of rules: 347
% New rule produced :
% [357]
% c multiply b multiply X <-> additive_inverse(additive_inverse(c multiply X))
% Current number of equations to process: 1234
% Current number of ordered equations: 559
% Current number of rules: 348
% New rule produced :
% [358] c multiply b multiply X <-> additive_identity add (c multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 558
% Current number of rules: 349
% New rule produced : [359] c multiply b multiply X <-> c multiply X multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 556
% Current number of rules: 350
% New rule produced :
% [360]
% c multiply b multiply a <-> additive_inverse(additive_inverse(b multiply a))
% Current number of equations to process: 1234
% Current number of ordered equations: 554
% Current number of rules: 351
% New rule produced :
% [361] c multiply b multiply a <-> additive_identity add (b multiply a)
% Current number of equations to process: 1234
% Current number of ordered equations: 552
% Current number of rules: 352
% New rule produced :
% [362]
% c multiply b multiply a <-> a multiply additive_inverse(additive_inverse(b))
% Current number of equations to process: 1234
% Current number of ordered equations: 550
% Current number of rules: 353
% New rule produced :
% [363]
% c multiply b multiply a <-> b multiply additive_inverse(additive_inverse(a))
% Current number of equations to process: 1234
% Current number of ordered equations: 548
% Current number of rules: 354
% New rule produced :
% [364] c multiply b multiply a <-> (a add additive_identity) multiply b
% Current number of equations to process: 1234
% Current number of ordered equations: 546
% Current number of rules: 355
% New rule produced :
% [365] c multiply b multiply a <-> (b add additive_identity) multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 544
% Current number of rules: 356
% New rule produced :
% [366] c multiply a multiply additive_inverse(b) <-> b multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 542
% Current number of rules: 357
% New rule produced :
% [367] c multiply b multiply additive_inverse(a) <-> b multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 540
% Current number of rules: 358
% New rule produced :
% [368]
% b multiply a multiply X <-> additive_inverse(additive_inverse(c multiply X))
% Current number of equations to process: 1234
% Current number of ordered equations: 539
% Current number of rules: 359
% New rule produced :
% [369] b multiply a multiply X <-> additive_identity add (c multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 538
% Current number of rules: 360
% New rule produced : [370] b multiply a multiply X <-> c multiply X multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 536
% Current number of rules: 361
% New rule produced :
% [371] b multiply a multiply additive_inverse(c) <-> b multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 534
% Current number of rules: 362
% New rule produced : [372] c multiply c multiply a multiply a <-> c
% Current number of equations to process: 1234
% Current number of ordered equations: 532
% Current number of rules: 363
% New rule produced : [373] c multiply c multiply b multiply b <-> c
% Current number of equations to process: 1234
% Current number of ordered equations: 530
% Current number of rules: 364
% New rule produced :
% [374]
% (additive_inverse(X) multiply additive_inverse(X)) add X <->
% additive_identity
% Current number of equations to process: 1234
% Current number of ordered equations: 528
% Current number of rules: 365
% New rule produced :
% [375] (a add additive_identity) multiply b <-> c multiply b multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 526
% Current number of rules: 366
% New rule produced :
% [376] (b add additive_identity) multiply a <-> c multiply b multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 524
% Current number of rules: 367
% New rule produced :
% [377]
% additive_inverse(additive_identity multiply X multiply Y) <->
% additive_identity multiply Y
% Current number of equations to process: 1234
% Current number of ordered equations: 523
% Current number of rules: 368
% New rule produced :
% [378]
% additive_identity multiply Y <->
% additive_inverse(additive_identity multiply X multiply Y)
% Current number of equations to process: 1234
% Current number of ordered equations: 522
% Current number of rules: 369
% New rule produced :
% [379]
% additive_inverse(additive_identity multiply X multiply Y) <->
% additive_identity multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 521
% Current number of rules: 370
% New rule produced :
% [380]
% additive_identity multiply X <->
% additive_inverse(additive_identity multiply X multiply Y)
% Current number of equations to process: 1234
% Current number of ordered equations: 520
% Current number of rules: 371
% New rule produced :
% [381]
% additive_inverse(X multiply Y) <-> additive_inverse(X) multiply X multiply Y
% Current number of equations to process: 1234
% Current number of ordered equations: 517
% Current number of rules: 372
% New rule produced :
% [382]
% additive_inverse(X multiply Y) <-> additive_inverse(X) multiply Y multiply Y
% Current number of equations to process: 1234
% Current number of ordered equations: 516
% Current number of rules: 373
% New rule produced :
% [383]
% additive_inverse(X multiply Y) <->
% additive_identity add (additive_inverse(X) multiply Y)
% Current number of equations to process: 1234
% Current number of ordered equations: 513
% Current number of rules: 374
% New rule produced :
% [384]
% additive_inverse(X multiply Y) <-> additive_inverse(X multiply Y) multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 510
% Current number of rules: 375
% New rule produced :
% [385]
% additive_inverse(X multiply Y) <->
% (additive_identity add additive_inverse(X)) multiply Y
% Current number of equations to process: 1234
% Current number of ordered equations: 507
% Current number of rules: 376
% New rule produced :
% [386]
% additive_inverse(X multiply Y) <-> additive_inverse(Y) multiply X multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 504
% Current number of rules: 377
% New rule produced :
% [387]
% additive_inverse(X multiply Y) <->
% additive_inverse(additive_inverse(additive_inverse(X))) multiply Y
% Current number of equations to process: 1234
% Current number of ordered equations: 501
% Current number of rules: 378
% New rule produced :
% [388]
% additive_inverse(X add Y) <->
% additive_inverse(additive_inverse(X)) add additive_inverse(Y)
% Current number of equations to process: 1234
% Current number of ordered equations: 499
% Current number of rules: 379
% New rule produced :
% [389]
% additive_inverse(b multiply a) <-> b multiply additive_inverse(c multiply a)
% Current number of equations to process: 1234
% Current number of ordered equations: 497
% Current number of rules: 380
% New rule produced :
% [390]
% additive_inverse(b multiply a) <-> c multiply a multiply additive_inverse(b)
% Current number of equations to process: 1234
% Current number of ordered equations: 495
% Current number of rules: 381
% New rule produced :
% [391]
% additive_inverse(additive_inverse(additive_inverse(X multiply Y))) <->
% additive_inverse(X) multiply Y
% Current number of equations to process: 1234
% Current number of ordered equations: 493
% Current number of rules: 382
% New rule produced :
% [392]
% additive_inverse(additive_inverse(additive_inverse(X multiply Y))) <->
% additive_inverse(Y) multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 491
% Current number of rules: 383
% New rule produced :
% [393]
% additive_inverse(c multiply X) <-> c multiply additive_inverse(b multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 488
% Current number of rules: 384
% New rule produced :
% [394]
% additive_inverse(c multiply X) <-> a multiply additive_inverse(c multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 485
% Current number of rules: 385
% New rule produced :
% [395]
% additive_inverse(c multiply X) <-> a multiply additive_inverse(b multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 482
% Current number of rules: 386
% New rule produced :
% [396]
% additive_inverse(c multiply X) <-> c multiply a multiply additive_inverse(X)
% Current number of equations to process: 1234
% Current number of ordered equations: 479
% Current number of rules: 387
% New rule produced :
% [397]
% additive_inverse(c multiply X) <-> c multiply b multiply additive_inverse(X)
% Current number of equations to process: 1234
% Current number of ordered equations: 476
% Current number of rules: 388
% New rule produced :
% [398]
% additive_inverse(c multiply X) <-> b multiply a multiply additive_inverse(X)
% Current number of equations to process: 1234
% Current number of ordered equations: 473
% Current number of rules: 389
% New rule produced :
% [399]
% additive_inverse(c multiply X) <-> c multiply additive_inverse(a) multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 470
% Current number of rules: 390
% New rule produced :
% [400]
% additive_inverse(c multiply X) <-> b multiply additive_inverse(c) multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 467
% Current number of rules: 391
% New rule produced :
% [401]
% additive_inverse(c multiply X) <-> b multiply additive_inverse(a) multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 464
% Current number of rules: 392
% New rule produced :
% [402]
% additive_inverse(additive_identity add (X multiply Y)) <->
% additive_inverse(X) multiply Y
% Current number of equations to process: 1234
% Current number of ordered equations: 462
% Current number of rules: 393
% New rule produced :
% [403]
% additive_inverse(additive_identity add (X multiply Y)) <->
% additive_inverse(Y) multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 460
% Current number of rules: 394
% New rule produced :
% [404]
% additive_inverse(X multiply Y multiply Y) <-> additive_inverse(X) multiply Y
% Current number of equations to process: 1234
% Current number of ordered equations: 456
% Current number of rules: 395
% New rule produced :
% [405]
% additive_inverse(X multiply Y multiply Y) <-> additive_inverse(Y) multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 454
% Current number of rules: 396
% New rule produced :
% [406]
% additive_inverse(c multiply a multiply X) <-> c multiply additive_inverse(X)
% Current number of equations to process: 1234
% Current number of ordered equations: 451
% Current number of rules: 397
% New rule produced :
% [407]
% additive_inverse(c multiply a multiply X) <-> additive_inverse(c) multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 450
% Current number of rules: 398
% New rule produced :
% [408]
% additive_inverse(c multiply b multiply X) <-> c multiply additive_inverse(X)
% Current number of equations to process: 1234
% Current number of ordered equations: 447
% Current number of rules: 399
% New rule produced :
% [409]
% additive_inverse(c multiply b multiply X) <-> additive_inverse(c) multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 446
% Current number of rules: 400
% New rule produced :
% [410]
% additive_inverse(b multiply a multiply X) <-> c multiply additive_inverse(X)
% Current number of equations to process: 1234
% Current number of ordered equations: 443
% Current number of rules: 401
% New rule produced :
% [411]
% additive_inverse(b multiply a multiply X) <-> additive_inverse(c) multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 442
% Current number of rules: 402
% New rule produced :
% [412]
% additive_inverse(c multiply b multiply a) <-> a multiply additive_inverse(b)
% Current number of equations to process: 1234
% Current number of ordered equations: 440
% Current number of rules: 403
% New rule produced :
% [413]
% additive_inverse(c multiply b multiply a) <-> b multiply additive_inverse(a)
% Current number of equations to process: 1234
% Current number of ordered equations: 438
% Current number of rules: 404
% New rule produced :
% [414]
% additive_inverse(X) multiply X multiply Y <-> additive_inverse(X multiply Y)
% Current number of equations to process: 1234
% Current number of ordered equations: 435
% Current number of rules: 405
% New rule produced :
% [415]
% additive_inverse(X) multiply Y multiply Y <-> additive_inverse(X multiply Y)
% Current number of equations to process: 1234
% Current number of ordered equations: 434
% Current number of rules: 406
% New rule produced :
% [416]
% additive_identity add additive_inverse(X) <-> additive_inverse(X add Y) add Y
% Current number of equations to process: 1234
% Current number of ordered equations: 432
% Current number of rules: 407
% New rule produced :
% [417]
% additive_identity add additive_inverse(X multiply Y) <->
% additive_inverse(X) multiply Y
% Current number of equations to process: 1234
% Current number of ordered equations: 430
% Current number of rules: 408
% New rule produced :
% [418]
% additive_identity add additive_inverse(X multiply Y) <->
% additive_inverse(Y) multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 428
% Current number of rules: 409
% New rule produced :
% [419]
% additive_identity add (additive_inverse(X) multiply Y) <->
% additive_inverse(X multiply Y)
% Current number of equations to process: 1234
% Current number of ordered equations: 425
% Current number of rules: 410
% New rule produced :
% [420]
% additive_inverse(additive_inverse(X)) add additive_inverse(Y) <->
% additive_inverse(X add Y)
% Current number of equations to process: 1234
% Current number of ordered equations: 423
% Current number of rules: 411
% New rule produced :
% [421]
% additive_inverse(X add Y) add Y <-> additive_identity add additive_inverse(X)
% Current number of equations to process: 1234
% Current number of ordered equations: 421
% Current number of rules: 412
% New rule produced :
% [422]
% additive_inverse(X) multiply Y <->
% additive_inverse(additive_inverse(additive_inverse(X multiply Y)))
% Current number of equations to process: 1234
% Current number of ordered equations: 419
% Current number of rules: 413
% New rule produced :
% [423]
% additive_inverse(X) multiply Y <->
% additive_inverse(additive_identity add (X multiply Y))
% Current number of equations to process: 1234
% Current number of ordered equations: 417
% Current number of rules: 414
% New rule produced :
% [424]
% additive_inverse(X) multiply Y <-> additive_inverse(X multiply Y multiply Y)
% Current number of equations to process: 1234
% Current number of ordered equations: 413
% Current number of rules: 415
% New rule produced :
% [425]
% additive_inverse(X) multiply Y <-> additive_inverse(X multiply X multiply Y)
% Current number of equations to process: 1234
% Current number of ordered equations: 411
% Current number of rules: 416
% New rule produced :
% [426]
% additive_inverse(X) multiply Y <->
% additive_identity add additive_inverse(X multiply Y)
% Current number of equations to process: 1234
% Current number of ordered equations: 409
% Current number of rules: 417
% New rule produced :
% [427]
% additive_inverse(X) multiply Y <-> additive_inverse(X multiply Y) multiply Y
% Current number of equations to process: 1234
% Current number of ordered equations: 405
% Current number of rules: 418
% New rule produced :
% [428]
% additive_inverse(Y) multiply X <->
% additive_inverse(additive_inverse(additive_inverse(X multiply Y)))
% Current number of equations to process: 1234
% Current number of ordered equations: 403
% Current number of rules: 419
% New rule produced :
% [429]
% additive_inverse(Y) multiply X <->
% additive_inverse(additive_identity add (X multiply Y))
% Current number of equations to process: 1234
% Current number of ordered equations: 401
% Current number of rules: 420
% New rule produced :
% [430]
% additive_inverse(Y) multiply X <->
% additive_identity add additive_inverse(X multiply Y)
% Current number of equations to process: 1234
% Current number of ordered equations: 399
% Current number of rules: 421
% New rule produced :
% [431]
% additive_inverse(X multiply Y) multiply X <-> additive_inverse(X multiply Y)
% Current number of equations to process: 1234
% Current number of ordered equations: 396
% Current number of rules: 422
% New rule produced :
% [432]
% additive_inverse(X multiply Y) multiply X <-> additive_inverse(Y) multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 392
% Current number of rules: 423
% New rule produced :
% [433]
% c multiply additive_inverse(X) <-> additive_inverse(c multiply a multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 389
% Current number of rules: 424
% New rule produced :
% [434]
% c multiply additive_inverse(X) <-> additive_inverse(c multiply b multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 386
% Current number of rules: 425
% New rule produced :
% [435]
% c multiply additive_inverse(X) <-> additive_inverse(b multiply a multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 383
% Current number of rules: 426
% New rule produced :
% [436]
% c multiply additive_inverse(X) <-> c multiply additive_inverse(b multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 380
% Current number of rules: 427
% New rule produced :
% [437]
% c multiply additive_inverse(X) <-> a multiply additive_inverse(c multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 377
% Current number of rules: 428
% New rule produced :
% [438]
% c multiply additive_inverse(X) <-> a multiply additive_inverse(b multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 374
% Current number of rules: 429
% New rule produced :
% [439]
% c multiply additive_inverse(b multiply X) <-> additive_inverse(c multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 371
% Current number of rules: 430
% New rule produced :
% [440]
% c multiply additive_inverse(b multiply X) <-> c multiply additive_inverse(X)
% Current number of equations to process: 1234
% Current number of ordered equations: 368
% Current number of rules: 431
% New rule produced :
% [441]
% a multiply additive_inverse(b) <-> additive_inverse(c multiply b multiply a)
% Current number of equations to process: 1234
% Current number of ordered equations: 366
% Current number of rules: 432
% New rule produced :
% [442]
% a multiply additive_inverse(c multiply X) <-> additive_inverse(c multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 363
% Current number of rules: 433
% New rule produced :
% [443]
% a multiply additive_inverse(c multiply X) <-> c multiply additive_inverse(X)
% Current number of equations to process: 1234
% Current number of ordered equations: 360
% Current number of rules: 434
% New rule produced :
% [444]
% a multiply additive_inverse(b multiply X) <-> additive_inverse(c multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 357
% Current number of rules: 435
% New rule produced :
% [445]
% a multiply additive_inverse(b multiply X) <-> c multiply additive_inverse(X)
% Current number of equations to process: 1234
% Current number of ordered equations: 354
% Current number of rules: 436
% New rule produced :
% [446]
% b multiply additive_inverse(a) <-> additive_inverse(c multiply b multiply a)
% Current number of equations to process: 1234
% Current number of ordered equations: 352
% Current number of rules: 437
% New rule produced :
% [447]
% b multiply additive_inverse(c multiply a) <-> additive_inverse(b multiply a)
% Current number of equations to process: 1234
% Current number of ordered equations: 350
% Current number of rules: 438
% New rule produced :
% [448]
% (additive_identity add additive_inverse(X)) multiply Y <->
% additive_inverse(X multiply Y)
% Current number of equations to process: 1234
% Current number of ordered equations: 347
% Current number of rules: 439
% New rule produced :
% [449]
% additive_inverse(Y) multiply X multiply X <-> additive_inverse(X multiply Y)
% Current number of equations to process: 1234
% Current number of ordered equations: 344
% Current number of rules: 440
% New rule produced :
% [450]
% c multiply a multiply additive_inverse(X) <-> additive_inverse(c multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 341
% Current number of rules: 441
% New rule produced :
% [451]
% c multiply b multiply additive_inverse(X) <-> additive_inverse(c multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 338
% Current number of rules: 442
% New rule produced :
% [452]
% c multiply a multiply additive_inverse(b) <-> additive_inverse(b multiply a)
% Current number of equations to process: 1234
% Current number of ordered equations: 336
% Current number of rules: 443
% New rule produced :
% [453]
% b multiply a multiply additive_inverse(X) <-> additive_inverse(c multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 333
% Current number of rules: 444
% New rule produced :
% [454]
% additive_inverse(c) multiply X <-> additive_inverse(c multiply a multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 332
% Current number of rules: 445
% New rule produced :
% [455]
% additive_inverse(c) multiply X <-> additive_inverse(c multiply b multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 331
% Current number of rules: 446
% New rule produced :
% [456]
% additive_inverse(c) multiply X <-> additive_inverse(b multiply a multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 330
% Current number of rules: 447
% New rule produced :
% [457]
% additive_inverse(additive_inverse(additive_inverse(X))) multiply Y <->
% additive_inverse(X multiply Y)
% Current number of equations to process: 1234
% Current number of ordered equations: 327
% Current number of rules: 448
% New rule produced :
% [458]
% c multiply additive_inverse(a) multiply X <-> additive_inverse(c multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 324
% Current number of rules: 449
% New rule produced :
% [459]
% b multiply additive_inverse(c) multiply X <-> additive_inverse(c multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 321
% Current number of rules: 450
% New rule produced :
% [460]
% b multiply additive_inverse(a) multiply X <-> additive_inverse(c multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 318
% Current number of rules: 451
% New rule produced :
% [461]
% additive_inverse(X multiply Y) <-> additive_inverse(X multiply X) multiply Y
% Current number of equations to process: 1234
% Current number of ordered equations: 316
% Current number of rules: 452
% New rule produced :
% [462]
% additive_inverse(X multiply X) multiply Y <-> additive_inverse(X multiply Y)
% Current number of equations to process: 1234
% Current number of ordered equations: 314
% Current number of rules: 453
% New rule produced :
% [463]
% additive_inverse(additive_identity multiply X) <->
% additive_identity multiply additive_inverse(X) multiply Y
% Current number of equations to process: 1234
% Current number of ordered equations: 312
% Current number of rules: 454
% New rule produced :
% [464]
% additive_inverse(additive_identity multiply X) <->
% additive_identity multiply additive_inverse(Y) multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 310
% Current number of rules: 455
% New rule produced :
% [465]
% additive_inverse(additive_identity multiply X) <->
% additive_identity multiply additive_inverse(X multiply Y)
% Current number of equations to process: 1234
% Current number of ordered equations: 308
% Current number of rules: 456
% New rule produced :
% [466]
% additive_inverse(additive_identity multiply X) <->
% additive_inverse(additive_identity) multiply X multiply Y
% Current number of equations to process: 1234
% Current number of ordered equations: 306
% Current number of rules: 457
% New rule produced :
% [467]
% additive_inverse(additive_identity multiply X) <->
% additive_inverse(additive_identity multiply X) multiply Y
% Current number of equations to process: 1234
% Current number of ordered equations: 304
% Current number of rules: 458
% New rule produced :
% [468]
% additive_inverse(additive_identity multiply X) <->
% additive_inverse(additive_identity multiply Y) multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 302
% Current number of rules: 459
% New rule produced :
% [469]
% additive_identity multiply additive_inverse(X) multiply Y <->
% additive_inverse(additive_identity multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 300
% Current number of rules: 460
% New rule produced :
% [470]
% additive_identity multiply additive_inverse(Y) multiply X <->
% additive_inverse(additive_identity multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 298
% Current number of rules: 461
% New rule produced :
% [471]
% additive_identity multiply additive_inverse(X multiply Y) <->
% additive_inverse(additive_identity multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 296
% Current number of rules: 462
% New rule produced :
% [472]
% additive_inverse(additive_identity) multiply X multiply Y <->
% additive_inverse(additive_identity multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 294
% Current number of rules: 463
% New rule produced :
% [473]
% additive_inverse(additive_identity multiply X) multiply Y <->
% additive_inverse(additive_identity multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 292
% Current number of rules: 464
% New rule produced :
% [474]
% additive_inverse(additive_identity multiply Y) multiply X <->
% additive_inverse(additive_identity multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 290
% Current number of rules: 465
% New rule produced :
% [475]
% additive_inverse(c multiply X) <-> c multiply additive_inverse(a multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 288
% Current number of rules: 466
% New rule produced :
% [476]
% additive_inverse(c multiply X) <-> additive_inverse(c multiply a) multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 286
% Current number of rules: 467
% New rule produced :
% [477]
% additive_inverse(c multiply X) <-> a multiply additive_inverse(c) multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 284
% Current number of rules: 468
% New rule produced :
% [478]
% c multiply additive_inverse(a multiply X) <-> additive_inverse(c multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 282
% Current number of rules: 469
% New rule produced :
% [479]
% additive_inverse(c multiply a) multiply X <-> additive_inverse(c multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 280
% Current number of rules: 470
% New rule produced :
% [480]
% a multiply additive_inverse(c) multiply X <-> additive_inverse(c multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 278
% Current number of rules: 471
% New rule produced :
% [481]
% additive_inverse(c multiply X) <-> b multiply additive_inverse(c multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 276
% Current number of rules: 472
% New rule produced :
% [482]
% additive_inverse(c multiply X) <-> additive_inverse(c multiply b) multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 274
% Current number of rules: 473
% New rule produced :
% [483]
% additive_inverse(c multiply X) <-> c multiply additive_inverse(b) multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 272
% Current number of rules: 474
% New rule produced :
% [484]
% b multiply additive_inverse(c multiply X) <-> additive_inverse(c multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 270
% Current number of rules: 475
% New rule produced :
% [485]
% additive_inverse(c multiply b) multiply X <-> additive_inverse(c multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 268
% Current number of rules: 476
% New rule produced :
% [486]
% c multiply additive_inverse(b) multiply X <-> additive_inverse(c multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 266
% Current number of rules: 477
% New rule produced :
% [487]
% additive_inverse(c multiply X) <-> b multiply additive_inverse(a multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 264
% Current number of rules: 478
% New rule produced :
% [488]
% additive_inverse(c multiply X) <-> additive_inverse(b multiply a) multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 262
% Current number of rules: 479
% New rule produced :
% [489]
% additive_inverse(c multiply X) <-> a multiply additive_inverse(b) multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 260
% Current number of rules: 480
% New rule produced :
% [490]
% b multiply additive_inverse(a multiply X) <-> additive_inverse(c multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 258
% Current number of rules: 481
% New rule produced :
% [491]
% additive_inverse(b multiply a) multiply X <-> additive_inverse(c multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 256
% Current number of rules: 482
% New rule produced :
% [492]
% a multiply additive_inverse(b) multiply X <-> additive_inverse(c multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 254
% Current number of rules: 483
% New rule produced :
% [493]
% additive_inverse(additive_identity multiply X multiply Y) <->
% additive_identity multiply additive_inverse(X)
% Current number of equations to process: 1234
% Current number of ordered equations: 252
% Current number of rules: 484
% New rule produced :
% [494]
% additive_identity multiply additive_inverse(X) <->
% additive_inverse(additive_identity multiply X multiply Y)
% Current number of equations to process: 1234
% Current number of ordered equations: 250
% Current number of rules: 485
% New rule produced :
% [495]
% additive_identity multiply additive_inverse(X) <->
% additive_inverse(additive_identity multiply X) multiply Y
% Current number of equations to process: 1234
% Current number of ordered equations: 248
% Current number of rules: 486
% New rule produced :
% [496]
% additive_inverse(additive_identity multiply X) multiply Y <->
% additive_identity multiply additive_inverse(X)
% Current number of equations to process: 1234
% Current number of ordered equations: 246
% Current number of rules: 487
% New rule produced :
% [497]
% c multiply additive_inverse(X) <-> c multiply additive_inverse(a multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 244
% Current number of rules: 488
% New rule produced :
% [498]
% c multiply additive_inverse(a multiply X) <-> c multiply additive_inverse(X)
% Current number of equations to process: 1234
% Current number of ordered equations: 242
% Current number of rules: 489
% New rule produced :
% [499]
% c multiply additive_inverse(X) <-> b multiply additive_inverse(c multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 240
% Current number of rules: 490
% New rule produced :
% [500]
% b multiply additive_inverse(c multiply X) <-> c multiply additive_inverse(X)
% Current number of equations to process: 1234
% Current number of ordered equations: 238
% Current number of rules: 491
% New rule produced :
% [501]
% c multiply additive_inverse(X) <-> b multiply additive_inverse(a multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 236
% Current number of rules: 492
% New rule produced :
% [502]
% b multiply additive_inverse(a multiply X) <-> c multiply additive_inverse(X)
% Current number of equations to process: 1234
% Current number of ordered equations: 234
% Current number of rules: 493
% New rule produced :
% [503]
% additive_inverse(b multiply a) <-> c multiply additive_inverse(b multiply a)
% Current number of equations to process: 1234
% Current number of ordered equations: 233
% Current number of rules: 494
% New rule produced :
% [504]
% additive_inverse(b multiply a) <-> a multiply additive_inverse(c multiply b)
% Current number of equations to process: 1234
% Current number of ordered equations: 232
% Current number of rules: 495
% New rule produced :
% [505]
% additive_inverse(b multiply a) <-> c multiply b multiply additive_inverse(a)
% Current number of equations to process: 1234
% Current number of ordered equations: 231
% Current number of rules: 496
% New rule produced :
% [506]
% additive_inverse(b multiply a) <-> b multiply a multiply additive_inverse(c)
% Current number of equations to process: 1234
% Current number of ordered equations: 230
% Current number of rules: 497
% New rule produced :
% [507]
% c multiply additive_inverse(b multiply a) <-> additive_inverse(b multiply a)
% Current number of equations to process: 1234
% Current number of ordered equations: 229
% Current number of rules: 498
% New rule produced :
% [508]
% a multiply additive_inverse(c multiply b) <-> additive_inverse(b multiply a)
% Current number of equations to process: 1234
% Current number of ordered equations: 228
% Current number of rules: 499
% New rule produced :
% [509]
% c multiply b multiply additive_inverse(a) <-> additive_inverse(b multiply a)
% Current number of equations to process: 1234
% Current number of ordered equations: 227
% Current number of rules: 500
% New rule produced :
% [510]
% b multiply a multiply additive_inverse(c) <-> additive_inverse(b multiply a)
% Current number of equations to process: 1234
% Current number of ordered equations: 226
% Current number of rules: 501
% New rule produced :
% [511]
% additive_identity <-> (additive_inverse(X) multiply Y) add (X multiply Y)
% Current number of equations to process: 1234
% Current number of ordered equations: 224
% Current number of rules: 502
% New rule produced :
% [512] additive_identity <-> additive_inverse(X add X) add Y add Y
% Current number of equations to process: 1234
% Current number of ordered equations: 222
% Current number of rules: 503
% New rule produced :
% [513]
% additive_inverse(additive_inverse(X) add X add Y) <-> additive_identity add Y
% Current number of equations to process: 1234
% Current number of ordered equations: 220
% Current number of rules: 504
% New rule produced :
% [514]
% additive_inverse(additive_identity add X add Y) <->
% additive_inverse(X) add additive_inverse(Y)
% Current number of equations to process: 1234
% Current number of ordered equations: 218
% Current number of rules: 505
% New rule produced :
% [515]
% additive_inverse(additive_inverse(additive_inverse(X add Y))) <->
% additive_inverse(X) add additive_inverse(Y)
% Current number of equations to process: 1234
% Current number of ordered equations: 216
% Current number of rules: 506
% New rule produced :
% [516]
% additive_inverse(additive_inverse(X add X add Y)) <-> additive_identity add Y
% Current number of equations to process: 1234
% Current number of ordered equations: 214
% Current number of rules: 507
% New rule produced :
% [517]
% additive_inverse(additive_inverse(X multiply X multiply Y)) <-> X multiply Y
% Current number of equations to process: 1234
% Current number of ordered equations: 212
% Current number of rules: 508
% New rule produced :
% [518]
% additive_inverse(additive_inverse(c multiply b multiply X)) <-> c multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 210
% Current number of rules: 509
% New rule produced :
% [519]
% additive_inverse(additive_inverse(b multiply a multiply X)) <-> c multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 208
% Current number of rules: 510
% New rule produced :
% [520]
% additive_inverse(additive_inverse(c multiply a multiply X)) <-> c multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 206
% Current number of rules: 511
% New rule produced :
% [521]
% additive_inverse(additive_inverse(c multiply b multiply a)) <-> b multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 204
% Current number of rules: 512
% New rule produced : [522] b multiply a multiply X multiply X <-> c multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 203
% Current number of rules: 513
% New rule produced : [523] b multiply b multiply a multiply a <-> c multiply c
% Current number of equations to process: 1234
% Current number of ordered equations: 202
% Current number of rules: 514
% New rule produced :
% [524]
% additive_identity add Y <-> additive_inverse(additive_inverse(X) add X add Y)
% Current number of equations to process: 1234
% Current number of ordered equations: 200
% Current number of rules: 515
% New rule produced :
% [525]
% additive_identity add Y <-> additive_inverse(additive_inverse(X add X add Y))
% Current number of equations to process: 1234
% Current number of ordered equations: 198
% Current number of rules: 516
% New rule produced :
% [526]
% additive_identity add additive_inverse(X add Y) <->
% additive_inverse(X) add additive_inverse(Y)
% Current number of equations to process: 1234
% Current number of ordered equations: 195
% Current number of rules: 517
% New rule produced :
% [527]
% additive_inverse(X) add additive_inverse(Y) <->
% additive_inverse(additive_identity add X add Y)
% Current number of equations to process: 1234
% Current number of ordered equations: 193
% Current number of rules: 518
% New rule produced :
% [528]
% additive_inverse(X) add additive_inverse(Y) <->
% additive_inverse(additive_inverse(additive_inverse(X add Y)))
% Current number of equations to process: 1234
% Current number of ordered equations: 191
% Current number of rules: 519
% New rule produced :
% [529]
% additive_inverse(X) add additive_inverse(Y) <->
% additive_identity add additive_inverse(X add Y)
% Current number of equations to process: 1234
% Current number of ordered equations: 188
% Current number of rules: 520
% New rule produced :
% [530]
% additive_identity add additive_inverse(X add X) <->
% additive_identity add Y add Y
% Current number of equations to process: 1234
% Current number of ordered equations: 186
% Current number of rules: 521
% New rule produced :
% [531] additive_identity add (c multiply a multiply X) <-> c multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 184
% Current number of rules: 522
% New rule produced :
% [532] additive_identity add (X multiply X multiply Y) <-> X multiply Y
% Current number of equations to process: 1234
% Current number of ordered equations: 182
% Current number of rules: 523
% New rule produced :
% [533] additive_identity add (c multiply b multiply X) <-> c multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 180
% Current number of rules: 524
% New rule produced :
% [534] additive_identity add (b multiply a multiply X) <-> c multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 178
% Current number of rules: 525
% New rule produced :
% [535] additive_identity add (c multiply b multiply a) <-> b multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 176
% Current number of rules: 526
% New rule produced :
% [536]
% (additive_inverse(X) multiply Y) add (X multiply Y) <-> additive_identity
% Current number of equations to process: 1234
% Current number of ordered equations: 174
% Current number of rules: 527
% New rule produced :
% [537]
% X multiply Y <-> additive_inverse(additive_inverse(X multiply X multiply Y))
% Current number of equations to process: 1234
% Current number of ordered equations: 172
% Current number of rules: 528
% New rule produced :
% [538] X multiply Y <-> additive_identity add (X multiply X multiply Y)
% Current number of equations to process: 1234
% Current number of ordered equations: 170
% Current number of rules: 529
% New rule produced :
% [539]
% X multiply Y <-> additive_inverse(additive_inverse(X multiply Y)) multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 169
% Current number of rules: 530
% New rule produced :
% [540] X multiply Y <-> (additive_identity add (X multiply Y)) multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 168
% Current number of rules: 531
% New rule produced :
% [541]
% c multiply X <-> additive_inverse(additive_inverse(c multiply b multiply X))
% Current number of equations to process: 1234
% Current number of ordered equations: 166
% Current number of rules: 532
% New rule produced :
% [542]
% c multiply X <-> additive_inverse(additive_inverse(b multiply a multiply X))
% Current number of equations to process: 1234
% Current number of ordered equations: 164
% Current number of rules: 533
% New rule produced :
% [543]
% c multiply X <-> additive_inverse(additive_inverse(c multiply a multiply X))
% Current number of equations to process: 1234
% Current number of ordered equations: 162
% Current number of rules: 534
% New rule produced : [544] c multiply X <-> b multiply a multiply X multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 161
% Current number of rules: 535
% New rule produced :
% [545] c multiply X <-> additive_identity add (c multiply a multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 159
% Current number of rules: 536
% New rule produced :
% [546] c multiply X <-> additive_identity add (c multiply b multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 157
% Current number of rules: 537
% New rule produced :
% [547] c multiply X <-> additive_identity add (b multiply a multiply X)
% Current number of equations to process: 1234
% Current number of ordered equations: 155
% Current number of rules: 538
% New rule produced :
% [548]
% c multiply X <-> c multiply additive_inverse(additive_inverse(b multiply X))
% Current number of equations to process: 1234
% Current number of ordered equations: 154
% Current number of rules: 539
% New rule produced :
% [549]
% c multiply X <-> a multiply additive_inverse(additive_inverse(c multiply X))
% Current number of equations to process: 1234
% Current number of ordered equations: 153
% Current number of rules: 540
% New rule produced :
% [550]
% c multiply X <-> a multiply additive_inverse(additive_inverse(b multiply X))
% Current number of equations to process: 1234
% Current number of ordered equations: 152
% Current number of rules: 541
% New rule produced : [551] c multiply X <-> c multiply a multiply X multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 150
% Current number of rules: 542
% New rule produced : [552] c multiply X <-> c multiply b multiply X multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 148
% Current number of rules: 543
% New rule produced :
% [553] c multiply X <-> (additive_identity add (c multiply X)) multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 147
% Current number of rules: 544
% New rule produced :
% [554] c multiply X <-> (additive_identity add (b multiply X)) multiply c
% Current number of equations to process: 1234
% Current number of ordered equations: 146
% Current number of rules: 545
% New rule produced :
% [555] c multiply X <-> (additive_identity add (b multiply X)) multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 145
% Current number of rules: 546
% New rule produced : [556] c multiply c <-> b multiply b multiply a multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 144
% Current number of rules: 547
% New rule produced :
% [557]
% b multiply a <-> additive_inverse(additive_inverse(c multiply b multiply a))
% Current number of equations to process: 1234
% Current number of ordered equations: 142
% Current number of rules: 548
% New rule produced :
% [558] b multiply a <-> additive_identity add (c multiply b multiply a)
% Current number of equations to process: 1234
% Current number of ordered equations: 140
% Current number of rules: 549
% New rule produced :
% [559]
% b multiply a <-> b multiply additive_inverse(additive_inverse(c multiply a))
% Current number of equations to process: 1234
% Current number of ordered equations: 139
% Current number of rules: 550
% New rule produced :
% [560]
% b multiply a <-> c multiply a multiply additive_inverse(additive_inverse(b))
% Current number of equations to process: 1234
% Current number of ordered equations: 137
% Current number of rules: 551
% New rule produced :
% [561]
% b multiply a <-> c multiply b multiply additive_inverse(additive_inverse(a))
% Current number of equations to process: 1234
% Current number of ordered equations: 135
% Current number of rules: 552
% New rule produced :
% [562]
% b multiply a <-> b multiply a multiply additive_inverse(additive_inverse(c))
% Current number of equations to process: 1234
% Current number of ordered equations: 133
% Current number of rules: 553
% New rule produced : [563] b multiply a <-> c multiply c multiply b multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 130
% Current number of rules: 554
% New rule produced : [564] b multiply a <-> c multiply b multiply a multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 126
% Current number of rules: 555
% New rule produced : [565] b multiply a <-> c multiply b multiply b multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 122
% Current number of rules: 556
% New rule produced :
% [566] b multiply a <-> (a add additive_identity) multiply c multiply b
% Current number of equations to process: 1234
% Current number of ordered equations: 120
% Current number of rules: 557
% New rule produced :
% [567] b multiply a <-> (c add additive_identity) multiply b multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 118
% Current number of rules: 558
% New rule produced :
% [568] b multiply a <-> (b add additive_identity) multiply c multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 116
% Current number of rules: 559
% New rule produced :
% [569] b multiply a <-> (additive_identity add (c multiply a)) multiply b
% Current number of equations to process: 1234
% Current number of ordered equations: 115
% Current number of rules: 560
% New rule produced :
% [570]
% c multiply additive_inverse(additive_inverse(b multiply X)) <-> c multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 114
% Current number of rules: 561
% New rule produced :
% [571]
% a multiply additive_inverse(additive_inverse(c multiply X)) <-> c multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 113
% Current number of rules: 562
% New rule produced :
% [572]
% a multiply additive_inverse(additive_inverse(b multiply X)) <-> c multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 112
% Current number of rules: 563
% New rule produced :
% [573]
% b multiply additive_inverse(additive_inverse(c multiply a)) <-> b multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 111
% Current number of rules: 564
% New rule produced :
% [574]
% additive_inverse(additive_inverse(X multiply Y)) multiply X <-> X multiply Y
% Current number of equations to process: 1234
% Current number of ordered equations: 110
% Current number of rules: 565
% New rule produced :
% [575] (additive_identity add (X multiply Y)) multiply X <-> X multiply Y
% Current number of equations to process: 1234
% Current number of ordered equations: 109
% Current number of rules: 566
% New rule produced :
% [576] additive_inverse(X add X) add Y add Y <-> additive_identity
% Current number of equations to process: 1234
% Current number of ordered equations: 107
% Current number of rules: 567
% New rule produced :
% [577]
% c multiply a multiply additive_inverse(additive_inverse(b)) <-> b multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 105
% Current number of rules: 568
% New rule produced :
% [578]
% c multiply b multiply additive_inverse(additive_inverse(a)) <-> b multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 103
% Current number of rules: 569
% New rule produced :
% [579]
% b multiply a multiply additive_inverse(additive_inverse(c)) <-> b multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 101
% Current number of rules: 570
% New rule produced :
% [580]
% additive_identity add Y add Y <->
% additive_identity add additive_inverse(X add X)
% Current number of equations to process: 1234
% Current number of ordered equations: 99
% Current number of rules: 571
% New rule produced : [581] c multiply c multiply b multiply a <-> b multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 96
% Current number of rules: 572
% New rule produced : [582] c multiply a multiply X multiply X <-> c multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 94
% Current number of rules: 573
% New rule produced : [583] c multiply b multiply X multiply X <-> c multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 92
% Current number of rules: 574
% New rule produced : [584] c multiply b multiply a multiply a <-> b multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 88
% Current number of rules: 575
% New rule produced : [585] c multiply b multiply b multiply a <-> b multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 84
% Current number of rules: 576
% New rule produced :
% [586] (a add additive_identity) multiply c multiply b <-> b multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 82
% Current number of rules: 577
% New rule produced :
% [587] (c add additive_identity) multiply b multiply a <-> b multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 80
% Current number of rules: 578
% New rule produced :
% [588] (b add additive_identity) multiply c multiply a <-> b multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 78
% Current number of rules: 579
% New rule produced :
% [589] (additive_identity add (c multiply X)) multiply a <-> c multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 77
% Current number of rules: 580
% New rule produced :
% [590] (additive_identity add (b multiply X)) multiply c <-> c multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 76
% Current number of rules: 581
% New rule produced :
% [591] (additive_identity add (b multiply X)) multiply a <-> c multiply X
% Current number of equations to process: 1234
% Current number of ordered equations: 75
% Current number of rules: 582
% New rule produced :
% [592] (additive_identity add (c multiply a)) multiply b <-> b multiply a
% Current number of equations to process: 1234
% Current number of ordered equations: 74
% Current number of rules: 583
% New rule produced :
% [593]
% additive_inverse(additive_inverse(additive_identity multiply X multiply Y))
% <-> additive_identity multiply Y
% Current number of equations to process: 1234
% Current number of ordered equations: 73
% Current number of rules: 584
% New rule produced :
% [594]
% additive_identity multi
% EOF
%------------------------------------------------------------------------------