TSTP Solution File: BOO015-2 by CiME---2.01
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%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : BOO015-2 : TPTP v6.0.0. Bugfixed v1.0.1.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n049.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 00:19:10 EDT 2014
% Result : Unsatisfiable 16.41s
% Output : Refutation 16.41s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : BOO015-2 : TPTP v6.0.0. Bugfixed v1.0.1.
% % Command : tptp2X_and_run_cime %s
% % Computer : n049.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 17:21:38 CDT 2014
% % CPUTime : 16.41
% Processing problem /tmp/CiME_5159_n049.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " multiply,add : infix commutative; d,c,b,a,additive_identity,multiplicative_identity : constant; inverse : 1;";
% let X = vars "X Y Z";
% let Axioms = equations F X "
% (X multiply Y) add Z = (X add Z) multiply (Y add Z);
% X add (Y multiply Z) = (X add Y) multiply (X add Z);
% (X add Y) multiply Z = (X multiply Z) add (Y multiply Z);
% X multiply (Y add Z) = (X multiply Y) add (X multiply Z);
% X add inverse(X) = multiplicative_identity;
% inverse(X) add X = multiplicative_identity;
% X multiply inverse(X) = additive_identity;
% inverse(X) multiply X = additive_identity;
% X multiply multiplicative_identity = X;
% multiplicative_identity multiply X = X;
% X add additive_identity = X;
% additive_identity add X = X;
% a multiply b = c;
% inverse(a) add inverse(b) = d;
% ";
%
% let s1 = status F "
% d lr_lex;
% c lr_lex;
% b lr_lex;
% a lr_lex;
% additive_identity lr_lex;
% multiplicative_identity lr_lex;
% inverse lr_lex;
% multiply mul;
% add mul;
% ";
%
% let p1 = precedence F "
% add > multiply > inverse > multiplicative_identity > additive_identity > a > b > c > d";
%
% let s2 = status F "
% d mul;
% c mul;
% b mul;
% a mul;
% additive_identity mul;
% multiplicative_identity mul;
% inverse mul;
% multiply mul;
% add mul;
% ";
%
% let p2 = precedence F "
% add > multiply > inverse > multiplicative_identity = additive_identity = a = b = c = d";
%
% let o_auto = AUTO Axioms;
%
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
%
% let Conjectures = equations F X " inverse(c) = d;"
% ;
% (*
% 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 = { (X multiply Y) add Z =
% (X add Z) multiply (Y add Z),
% (Y multiply Z) add X =
% (X add Y) multiply (X add Z),
% (X add Y) multiply Z =
% (X multiply Z) add (Y multiply Z),
% (Y add Z) multiply X =
% (X multiply Y) add (X multiply Z),
% inverse(X) add X = multiplicative_identity,
% inverse(X) add X = multiplicative_identity,
% inverse(X) multiply X = additive_identity,
% inverse(X) multiply X = additive_identity,
% multiplicative_identity multiply X = X,
% multiplicative_identity multiply X = X,
% additive_identity add X = X,
% additive_identity add X = X,
% b multiply a = c,
% inverse(b) add inverse(a) = d } (14 equation(s))
% s1 : F status = <status>
% p1 : F precedence = <precedence>
% s2 : F status = <status>
% p2 : F precedence = <precedence>
% o_auto : F term_ordering = <term ordering>
% o : F term_ordering = <term ordering>
% Conjectures : (F,X) equations = { inverse(c) = d } (1 equation(s))
% time is now on
%
% Initializing completion ...
% New rule produced : [1] multiplicative_identity multiply X -> X
% Current number of equations to process: 0
% Current number of ordered equations: 9
% Current number of rules: 1
% New rule produced : [2] b multiply a -> c
% Current number of equations to process: 0
% Current number of ordered equations: 8
% 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: 7
% Current number of rules: 3
% New rule produced : [4] inverse(X) multiply X -> additive_identity
% Current number of equations to process: 0
% Current number of ordered equations: 6
% Current number of rules: 4
% New rule produced : [5] inverse(X) add X -> multiplicative_identity
% Current number of equations to process: 0
% Current number of ordered equations: 5
% Current number of rules: 5
% New rule produced : [6] inverse(b) add inverse(a) -> d
% Current number of equations to process: 0
% Current number of ordered equations: 4
% Current number of rules: 6
% New rule produced : [7] (X add Z) multiply (Y add Z) -> (X multiply Y) add Z
% Current number of equations to process: 0
% Current number of ordered equations: 2
% Current number of rules: 7
% New rule produced :
% [8] (Y add Z) multiply X -> (X multiply Y) add (X multiply Z)
% Rule [7] (X add Z) multiply (Y add Z) -> (X multiply Y) add Z collapsed.
% Current number of equations to process: 1
% Current number of ordered equations: 0
% Current number of rules: 7
% New rule produced :
% [9]
% ((X multiply Y) add (X multiply Z)) add ((Y multiply Z) add (Z multiply Z))
% -> (X multiply Y) add Z
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 8
% New rule produced :
% [10] inverse(multiplicative_identity) -> additive_identity
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced :
% [11] inverse(additive_identity) -> multiplicative_identity
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced :
% [12] (additive_identity multiply Y) add (X multiply Y) -> X multiply Y
% Current number of equations to process: 4
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced : [13] (inverse(Y) multiply X) add (X multiply Y) -> X
% Current number of equations to process: 3
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced :
% [14] (inverse(b) multiply X) add (inverse(a) multiply X) -> d multiply X
% Current number of equations to process: 2
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced :
% [15]
% (inverse(X add Y) multiply X) add (inverse(X add Y) multiply Y) ->
% additive_identity
% Current number of equations to process: 1
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced : [16] (X multiply X) add Y <-> (Y multiply Y) add X
% Current number of equations to process: 1
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced :
% [17] (inverse(X) multiply Y) add X -> (X multiply X) add Y
% Current number of equations to process: 18
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced :
% [18]
% (X multiply Y) add inverse(X) <->
% ((additive_identity multiply additive_identity) add inverse(X)) add Y
% Current number of equations to process: 17
% Current number of ordered equations: 1
% Current number of rules: 17
% New rule produced :
% [19]
% ((additive_identity multiply additive_identity) add inverse(X)) add Y <->
% (X multiply Y) add inverse(X)
% Current number of equations to process: 17
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [20]
% ((X multiply Y) add Y) add (multiplicative_identity add X) ->
% (X multiply Y) add multiplicative_identity
% Current number of equations to process: 15
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [21] ((X multiply X) add X) add ((X multiply Y) add Y) -> X add Y
% Current number of equations to process: 11
% Current number of ordered equations: 2
% Current number of rules: 20
% New rule produced :
% [22] ((X multiply X) add (X multiply Y)) add (X add Y) -> X add Y
% Current number of equations to process: 11
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [23] (X multiply Y) add ((inverse(X) multiply Y) add (Y multiply Y)) -> Y
% Current number of equations to process: 9
% Current number of ordered equations: 1
% Current number of rules: 22
% New rule produced :
% [24] (inverse(X) multiply Y) add ((X multiply Y) add (Y multiply Y)) -> Y
% Current number of equations to process: 9
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced : [25] (additive_identity multiply X) add X -> X
% Current number of equations to process: 16
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced : [26] (a multiply additive_identity) add c -> c
% Current number of equations to process: 16
% Current number of ordered equations: 1
% Current number of rules: 25
% New rule produced : [27] (b multiply additive_identity) add c -> c
% Current number of equations to process: 16
% Current number of ordered equations: 0
% Current number of rules: 26
% Rule [18]
% (X multiply Y) add inverse(X) <->
% ((additive_identity multiply additive_identity) add inverse(X)) add Y is composed into
% [18]
% (X multiply Y) add inverse(X) <-> (additive_identity add inverse(X)) add Y
% New rule produced : [28] additive_identity multiply X -> additive_identity
% Rule [12] (additive_identity multiply Y) add (X multiply Y) -> X multiply Y
% collapsed.
% Rule
% [19]
% ((additive_identity multiply additive_identity) add inverse(X)) add Y <->
% (X multiply Y) add inverse(X) collapsed.
% Rule [25] (additive_identity multiply X) add X -> X collapsed.
% Rule [26] (a multiply additive_identity) add c -> c collapsed.
% Rule [27] (b multiply additive_identity) add c -> c collapsed.
% Current number of equations to process: 18
% Current number of ordered equations: 0
% Current number of rules: 22
% Rule [17] (inverse(X) multiply Y) add X -> (X multiply X) add Y is composed into
% [17] (inverse(X) multiply Y) add X -> X add Y
% New rule produced : [29] X multiply X -> X
% Rule
% [9]
% ((X multiply Y) add (X multiply Z)) add ((Y multiply Z) add (Z multiply Z))
% -> (X multiply Y) add Z collapsed.
% Rule [16] (X multiply X) add Y <-> (Y multiply Y) add X collapsed.
% Rule [21] ((X multiply X) add X) add ((X multiply Y) add Y) -> X add Y
% collapsed.
% Rule [22] ((X multiply X) add (X multiply Y)) add (X add Y) -> X add Y
% collapsed.
% Rule
% [23] (X multiply Y) add ((inverse(X) multiply Y) add (Y multiply Y)) -> Y
% collapsed.
% Rule
% [24] (inverse(X) multiply Y) add ((X multiply Y) add (Y multiply Y)) -> Y
% collapsed.
% Current number of equations to process: 26
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [30]
% ((X multiply Y) add (X multiply Z)) add ((Y multiply Z) add Z) ->
% (X multiply Y) add Z
% Current number of equations to process: 25
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced : [31] inverse(inverse(X)) multiply X -> X
% Current number of equations to process: 24
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced : [32] (b multiply inverse(a)) add c -> b
% Current number of equations to process: 22
% Current number of ordered equations: 1
% Current number of rules: 20
% New rule produced : [33] (a multiply inverse(b)) add c -> a
% Current number of equations to process: 22
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced : [34] inverse(inverse(X)) -> X
% Rule [31] inverse(inverse(X)) multiply X -> X collapsed.
% Current number of equations to process: 21
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced : [35] a multiply inverse(b) -> d multiply a
% Rule [33] (a multiply inverse(b)) add c -> a collapsed.
% Current number of equations to process: 25
% Current number of ordered equations: 1
% Current number of rules: 21
% New rule produced : [36] (d multiply a) add c -> a
% Current number of equations to process: 24
% Current number of ordered equations: 1
% Current number of rules: 22
% New rule produced : [37] b multiply inverse(a) -> d multiply b
% Rule [32] (b multiply inverse(a)) add c -> b collapsed.
% Current number of equations to process: 25
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced : [38] (d multiply b) add c -> b
% Current number of equations to process: 24
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced : [39] (X multiply Y) add inverse(X) -> inverse(X) add Y
% Rule
% [18]
% (X multiply Y) add inverse(X) <-> (additive_identity add inverse(X)) add Y
% collapsed.
% Current number of equations to process: 23
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced : [40] ((X multiply Y) add Y) add (X add X) -> X add Y
% Current number of equations to process: 24
% Current number of ordered equations: 1
% Current number of rules: 24
% New rule produced : [41] ((X multiply Y) add X) add (X add Y) -> X add Y
% Current number of equations to process: 24
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced :
% [42] (X multiply Y) add ((inverse(X) multiply Y) add Y) -> Y
% Current number of equations to process: 22
% Current number of ordered equations: 1
% Current number of rules: 26
% New rule produced :
% [43] (inverse(X) multiply Y) add ((X multiply Y) add Y) -> Y
% Current number of equations to process: 22
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced :
% [44]
% (inverse(multiplicative_identity add X) multiply X) add inverse(multiplicative_identity add X)
% -> additive_identity
% Current number of equations to process: 24
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [45] multiplicative_identity add X -> multiplicative_identity
% Rule
% [20]
% ((X multiply Y) add Y) add (multiplicative_identity add X) ->
% (X multiply Y) add multiplicative_identity collapsed.
% Rule
% [44]
% (inverse(multiplicative_identity add X) multiply X) add inverse(multiplicative_identity add X)
% -> additive_identity collapsed.
% Current number of equations to process: 25
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced : [46] X add X -> X
% Rule [40] ((X multiply Y) add Y) add (X add X) -> X add Y collapsed.
% Current number of equations to process: 26
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced : [47] ((X multiply Y) add Y) add X -> X add Y
% Current number of equations to process: 25
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced :
% [48] (inverse(b) multiply inverse(a)) add inverse(a) -> d multiply inverse(a)
% Current number of equations to process: 29
% Current number of ordered equations: 1
% Current number of rules: 29
% New rule produced :
% [49] (inverse(b) multiply inverse(a)) add inverse(b) -> d multiply inverse(b)
% Current number of equations to process: 29
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced :
% [50] ((X multiply Y) add X) add ((X multiply Y) add Y) -> X add Y
% Current number of equations to process: 28
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced :
% [51]
% ((inverse(Z) multiply Y) multiply X) add ((Y multiply Z) multiply X) ->
% X multiply Y
% Current number of equations to process: 27
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [52]
% ((inverse(X) multiply Y) add (inverse(X) multiply Z)) add X ->
% (Y add Z) add X
% Current number of equations to process: 25
% Current number of ordered equations: 1
% Current number of rules: 33
% New rule produced :
% [53]
% ((inverse(X) multiply Z) multiply Y) add (X multiply Y) ->
% (X multiply Y) add (Y multiply Z)
% Current number of equations to process: 25
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced :
% [54] ((b multiply X) add c) add ((a multiply X) add X) -> c add X
% Current number of equations to process: 23
% Current number of ordered equations: 1
% Current number of rules: 35
% New rule produced :
% [55] ((b multiply X) add X) add ((a multiply X) add c) -> c add X
% Current number of equations to process: 23
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [56]
% (inverse(X add Y) multiply Z) add ((X multiply Z) add (Y multiply Z)) -> Z
% Current number of equations to process: 22
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced :
% [57] (inverse(X) multiply Y) add ((X multiply Y) add X) -> X add Y
% Current number of equations to process: 20
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [58] (inverse(X add Y) multiply X) add Y -> (X multiply Y) add Y
% Current number of equations to process: 32
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [59]
% (inverse(b) multiply X) add inverse(a) <->
% (d multiply inverse(a)) add (d multiply X)
% Rule
% [48] (inverse(b) multiply inverse(a)) add inverse(a) -> d multiply inverse(a)
% collapsed.
% Current number of equations to process: 32
% Current number of ordered equations: 2
% Current number of rules: 39
% New rule produced :
% [60]
% (inverse(a) multiply X) add inverse(b) ->
% (d multiply inverse(b)) add (d multiply X)
% Rule
% [49] (inverse(b) multiply inverse(a)) add inverse(b) -> d multiply inverse(b)
% collapsed.
% Current number of equations to process: 32
% Current number of ordered equations: 1
% Current number of rules: 39
% New rule produced :
% [61]
% (d multiply inverse(a)) add (d multiply X) <->
% (inverse(b) multiply X) add inverse(a)
% Current number of equations to process: 32
% Current number of ordered equations: 0
% Current number of rules: 40
% Rule [58] (inverse(X add Y) multiply X) add Y -> (X multiply Y) add Y is composed into
% [58] (inverse(X add Y) multiply X) add Y -> Y
% New rule produced : [62] (X multiply Y) add X -> X
% Rule
% [30]
% ((X multiply Y) add (X multiply Z)) add ((Y multiply Z) add Z) ->
% (X multiply Y) add Z collapsed.
% Rule [41] ((X multiply Y) add X) add (X add Y) -> X add Y collapsed.
% Rule [42] (X multiply Y) add ((inverse(X) multiply Y) add Y) -> Y collapsed.
% Rule [43] (inverse(X) multiply Y) add ((X multiply Y) add Y) -> Y collapsed.
% Rule [47] ((X multiply Y) add Y) add X -> X add Y collapsed.
% Rule [50] ((X multiply Y) add X) add ((X multiply Y) add Y) -> X add Y
% collapsed.
% Rule [54] ((b multiply X) add c) add ((a multiply X) add X) -> c add X
% collapsed.
% Rule [55] ((b multiply X) add X) add ((a multiply X) add c) -> c add X
% collapsed.
% Rule [57] (inverse(X) multiply Y) add ((X multiply Y) add X) -> X add Y
% collapsed.
% Current number of equations to process: 38
% Current number of ordered equations: 0
% Current number of rules: 32
% New rule produced :
% [63] ((X multiply Y) add (X multiply Z)) add Z -> (X multiply Y) add Z
% Current number of equations to process: 37
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced : [64] (X add Y) add X -> X add Y
% Current number of equations to process: 36
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced : [65] ((b multiply X) add c) add X -> c add X
% Current number of equations to process: 34
% Current number of ordered equations: 1
% Current number of rules: 35
% New rule produced : [66] ((a multiply X) add c) add X -> c add X
% Current number of equations to process: 34
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced : [67] (d multiply a) add b -> b add a
% Current number of equations to process: 35
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced : [68] (d multiply b) add a -> b add a
% Current number of equations to process: 38
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [69] (d multiply a) add (inverse(b) multiply inverse(a)) -> inverse(b)
% Current number of equations to process: 39
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [70] (d multiply b) add (inverse(b) multiply inverse(a)) -> inverse(a)
% Current number of equations to process: 38
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [71] ((d multiply a) multiply X) add (c multiply X) -> a multiply X
% Current number of equations to process: 37
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [72] ((d multiply b) multiply X) add (c multiply X) -> b multiply X
% Current number of equations to process: 36
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced : [73] a add inverse(b) -> c add inverse(b)
% Current number of equations to process: 40
% Current number of ordered equations: 1
% Current number of rules: 43
% New rule produced : [74] b add inverse(a) -> c add inverse(a)
% Current number of equations to process: 40
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced : [75] d add inverse(a) -> d
% Current number of equations to process: 40
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced : [76] d add inverse(b) -> d
% Current number of equations to process: 40
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [77]
% ((X multiply Y) add (X multiply Z)) add inverse(X) ->
% (Y add Z) add inverse(X)
% Current number of equations to process: 36
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced : [78] (X multiply Y) multiply Y -> X multiply Y
% Current number of equations to process: 44
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [79]
% (inverse(X) multiply Y) multiply inverse(X multiply Y) ->
% inverse(X multiply Y) multiply Y
% Current number of equations to process: 44
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [80]
% (X multiply Y) multiply inverse(inverse(Y) multiply X) ->
% inverse(inverse(Y) multiply X) multiply X
% Current number of equations to process: 43
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [81] (inverse(inverse(X) multiply Y) add Y) add X -> multiplicative_identity
% Current number of equations to process: 43
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced : [82] (inverse(X) add Y) add X -> multiplicative_identity
% Current number of equations to process: 45
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [83] ((d multiply a) add (inverse(b) multiply X)) add b -> (a add X) add b
% Current number of equations to process: 46
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [84] ((d multiply b) add (inverse(a) multiply X)) add a -> (b add X) add a
% Current number of equations to process: 45
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced :
% [85] ((inverse(b) multiply X) multiply a) add c -> (a multiply X) add c
% Current number of equations to process: 50
% Current number of ordered equations: 1
% Current number of rules: 55
% New rule produced :
% [86] ((inverse(a) multiply X) multiply b) add c -> (b multiply X) add c
% Current number of equations to process: 50
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced :
% [87]
% ((d multiply a) multiply X) add (b multiply X) ->
% (b multiply X) add (a multiply X)
% Current number of equations to process: 54
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [88]
% ((d multiply b) multiply X) add (a multiply X) ->
% (b multiply X) add (a multiply X)
% Current number of equations to process: 53
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced : [89] ((b multiply X) add c) add a -> (b multiply X) add a
% Current number of equations to process: 50
% Current number of ordered equations: 3
% Current number of rules: 59
% New rule produced : [90] ((a multiply X) add c) add b -> (a multiply X) add b
% Current number of equations to process: 50
% Current number of ordered equations: 2
% Current number of rules: 60
% New rule produced :
% [91]
% ((b multiply X) add (a multiply X)) add (c add a) -> (b multiply X) add a
% Current number of equations to process: 50
% Current number of ordered equations: 1
% Current number of rules: 61
% New rule produced :
% [92]
% ((b multiply X) add (a multiply X)) add (c add b) -> (a multiply X) add b
% Current number of equations to process: 50
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced :
% [93] (inverse(inverse(X) add Y) multiply X) add (X multiply Y) -> X
% Current number of equations to process: 57
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [94] (a multiply inverse(b add X)) add ((a multiply X) add c) -> a
% Current number of equations to process: 60
% Current number of ordered equations: 1
% Current number of rules: 64
% New rule produced :
% [95] (b multiply inverse(a add X)) add ((b multiply X) add c) -> b
% Current number of equations to process: 60
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [96]
% (inverse(X add Y) multiply inverse(X)) add (inverse(X) multiply Y) ->
% inverse(X)
% Current number of equations to process: 59
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [97]
% ((X multiply Z) multiply Y) add (inverse(X) multiply Y) ->
% (inverse(X) multiply Y) add (Y multiply Z)
% Current number of equations to process: 60
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [98] ((inverse(X) multiply Y) multiply inverse(X add Y)) add X -> X
% Current number of equations to process: 63
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced : [99] inverse(X add Y) multiply X -> additive_identity
% Rule
% [15]
% (inverse(X add Y) multiply X) add (inverse(X add Y) multiply Y) ->
% additive_identity collapsed.
% Rule [58] (inverse(X add Y) multiply X) add Y -> Y collapsed.
% Current number of equations to process: 65
% Current number of ordered equations: 0
% Current number of rules: 67
% Rule [59]
% (inverse(b) multiply X) add inverse(a) <->
% (d multiply inverse(a)) add (d multiply X) is composed into [59]
% (inverse(b) multiply X) add
% inverse(a)
% ->
% (d multiply X) add
% inverse(a)
% New rule produced : [100] d multiply inverse(a) -> inverse(a)
% Rule
% [61]
% (d multiply inverse(a)) add (d multiply X) <->
% (inverse(b) multiply X) add inverse(a) collapsed.
% Current number of equations to process: 65
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced :
% [101] (d multiply a) add (d multiply inverse(b)) -> inverse(b)
% Current number of equations to process: 68
% Current number of ordered equations: 0
% Current number of rules: 68
% Rule [60]
% (inverse(a) multiply X) add inverse(b) ->
% (d multiply inverse(b)) add (d multiply X) is composed into [60]
% (inverse(a) multiply X) add
% inverse(b)
% ->
% (d multiply X) add
% inverse(b)
% New rule produced : [102] d multiply inverse(b) -> inverse(b)
% Rule [101] (d multiply a) add (d multiply inverse(b)) -> inverse(b)
% collapsed.
% Current number of equations to process: 69
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced : [103] (d multiply a) add inverse(b) -> inverse(b)
% Current number of equations to process: 68
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced : [104] c add a -> a
% Rule
% [91]
% ((b multiply X) add (a multiply X)) add (c add a) -> (b multiply X) add a
% collapsed.
% Current number of equations to process: 73
% Current number of ordered equations: 1
% Current number of rules: 69
% New rule produced : [105] c add b -> b
% Rule
% [92]
% ((b multiply X) add (a multiply X)) add (c add b) -> (a multiply X) add b
% collapsed.
% Current number of equations to process: 73
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced : [106] (d multiply b) add inverse(a) -> inverse(a)
% Current number of equations to process: 73
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced : [107] ((X multiply Y) add (X multiply Z)) add X -> X
% Current number of equations to process: 72
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced :
% [108] ((Y multiply Z) multiply X) add (X multiply Y) -> X multiply Y
% Current number of equations to process: 71
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [109] ((inverse(Z) multiply Y) multiply X) add Z -> (X multiply Y) add Z
% Rule [98] ((inverse(X) multiply Y) multiply inverse(X add Y)) add X -> X
% collapsed.
% Current number of equations to process: 72
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [110] ((X multiply Y) add (X multiply Z)) add (Y add Z) -> Y add Z
% Current number of equations to process: 71
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [111] inverse(X multiply Y) add X -> multiplicative_identity
% Rule
% [81] (inverse(inverse(X) multiply Y) add Y) add X -> multiplicative_identity
% collapsed.
% Current number of equations to process: 72
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced : [112] (inverse(X multiply Y) multiply X) add Y -> X add Y
% Current number of equations to process: 71
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced : [113] (inverse(X) multiply Y) add (X add Y) -> X add Y
% Current number of equations to process: 88
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [114] (d multiply X) add (inverse(b) multiply X) -> d multiply X
% Current number of equations to process: 86
% Current number of ordered equations: 1
% Current number of rules: 76
% New rule produced :
% [115] (d multiply X) add (inverse(a) multiply X) -> d multiply X
% Current number of equations to process: 86
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [116] (X multiply Y) add (inverse(X) add Y) -> inverse(X) add Y
% Current number of equations to process: 89
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced : [117] b add inverse(c) -> multiplicative_identity
% Current number of equations to process: 89
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced : [118] d add b -> d add c
% Current number of equations to process: 91
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced : [119] ((b multiply X) add c) add (c add X) -> c add X
% Current number of equations to process: 91
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced : [120] a add inverse(c) -> multiplicative_identity
% Current number of equations to process: 91
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced : [121] d add a -> d add c
% Current number of equations to process: 93
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced : [122] (d multiply a) add (b add a) -> b add a
% Current number of equations to process: 94
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced : [123] (d multiply b) add (b add a) -> b add a
% Current number of equations to process: 94
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced : [124] ((a multiply X) add c) add (c add X) -> c add X
% Current number of equations to process: 93
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced : [125] c multiply a -> c
% Current number of equations to process: 98
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [126] (d multiply a) multiply inverse(c) -> a multiply inverse(c)
% Current number of equations to process: 101
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [127] a multiply inverse(d multiply a) -> c multiply inverse(d multiply a)
% Current number of equations to process: 100
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced : [128] (c multiply X) add (a multiply X) -> a multiply X
% Current number of equations to process: 102
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [129] ((d multiply a) multiply X) add c -> (a multiply X) add c
% Current number of equations to process: 101
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [130] (d multiply a) add (a multiply X) -> (d multiply a) add (c multiply X)
% Current number of equations to process: 100
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced : [131] c multiply b -> c
% Current number of equations to process: 101
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [132] (d multiply b) multiply inverse(c) -> b multiply inverse(c)
% Current number of equations to process: 104
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced :
% [133] b multiply inverse(d multiply b) -> c multiply inverse(d multiply b)
% Current number of equations to process: 103
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced : [134] (c multiply X) add (b multiply X) -> b multiply X
% Current number of equations to process: 105
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [135] ((d multiply b) multiply X) add c -> (b multiply X) add c
% Current number of equations to process: 104
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced : [136] (c add inverse(b)) add a -> c add inverse(b)
% Current number of equations to process: 106
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced : [137] (c add inverse(a)) add b -> c add inverse(a)
% Current number of equations to process: 108
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced :
% [138] (d multiply b) add (b multiply X) -> (d multiply b) add (c multiply X)
% Current number of equations to process: 107
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [139]
% (a multiply X) add (inverse(b) multiply X) ->
% (c multiply X) add (inverse(b) multiply X)
% Current number of equations to process: 106
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [140]
% (b multiply X) add (inverse(a) multiply X) ->
% (c multiply X) add (inverse(a) multiply X)
% Current number of equations to process: 105
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [141]
% ((d multiply a) add (inverse(b) multiply X)) add X -> (d multiply a) add X
% Current number of equations to process: 104
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [142]
% ((d multiply b) add (inverse(a) multiply X)) add X -> (d multiply b) add X
% Current number of equations to process: 103
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced :
% [143]
% ((X multiply Y) multiply inverse(inverse(X) add Y)) add inverse(X) ->
% inverse(X)
% Current number of equations to process: 102
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [144]
% (a multiply X) add inverse(b) <->
% ((d multiply a) add (c multiply X)) add inverse(b)
% Current number of equations to process: 99
% Current number of ordered equations: 2
% Current number of rules: 106
% New rule produced :
% [145]
% ((d multiply a) add (inverse(b) multiply X)) add a ->
% (inverse(b) multiply X) add a
% Current number of equations to process: 99
% Current number of ordered equations: 1
% Current number of rules: 107
% New rule produced :
% [146]
% ((d multiply a) add (c multiply X)) add inverse(b) <->
% (a multiply X) add inverse(b)
% Current number of equations to process: 99
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced :
% [147]
% (b multiply X) add inverse(a) <->
% ((d multiply b) add (c multiply X)) add inverse(a)
% Current number of equations to process: 97
% Current number of ordered equations: 2
% Current number of rules: 109
% New rule produced :
% [148]
% ((d multiply b) add (inverse(a) multiply X)) add b ->
% (inverse(a) multiply X) add b
% Current number of equations to process: 97
% Current number of ordered equations: 1
% Current number of rules: 110
% New rule produced :
% [149]
% ((d multiply b) add (c multiply X)) add inverse(a) <->
% (b multiply X) add inverse(a)
% Current number of equations to process: 97
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced :
% [150]
% ((inverse(Z) multiply Y) multiply X) add (Y multiply Z) ->
% (X multiply Y) add (Y multiply Z)
% Current number of equations to process: 95
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced : [151] (X add Y) add inverse(X) -> multiplicative_identity
% Current number of equations to process: 95
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced :
% [152] ((b multiply X) add c) add inverse(b) -> (a add X) add inverse(b)
% Current number of equations to process: 98
% Current number of ordered equations: 1
% Current number of rules: 114
% New rule produced :
% [153] ((a multiply X) add c) add inverse(a) -> (b add X) add inverse(a)
% Current number of equations to process: 98
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced : [154] (d multiply a) multiply inverse(b) -> d multiply a
% Current number of equations to process: 106
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced : [155] (d multiply b) multiply inverse(a) -> d multiply b
% Current number of equations to process: 105
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced :
% [156] (inverse(b) multiply X) multiply d -> inverse(b) multiply X
% Current number of equations to process: 103
% Current number of ordered equations: 1
% Current number of rules: 118
% New rule produced :
% [157] (inverse(a) multiply X) multiply d -> inverse(a) multiply X
% Current number of equations to process: 103
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced :
% [158] ((X multiply Y) multiply Z) multiply X -> (X multiply Y) multiply Z
% Current number of equations to process: 104
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced : [159] ((X multiply Y) multiply Z) add X -> X
% Current number of equations to process: 105
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced : [160] (c multiply X) multiply a -> c multiply X
% Current number of equations to process: 105
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced : [161] (c multiply X) multiply b -> c multiply X
% Current number of equations to process: 105
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [162] (X add Y) add inverse(X multiply Z) -> multiplicative_identity
% Current number of equations to process: 106
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [163] ((inverse(Z) multiply X) add Y) add Z -> (X add Y) add Z
% Rule
% [52]
% ((inverse(X) multiply Y) add (inverse(X) multiply Z)) add X ->
% (Y add Z) add X collapsed.
% Rule
% [83] ((d multiply a) add (inverse(b) multiply X)) add b -> (a add X) add b
% collapsed.
% Rule
% [84] ((d multiply b) add (inverse(a) multiply X)) add a -> (b add X) add a
% collapsed.
% Current number of equations to process: 107
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced : [164] ((d multiply a) add X) add b -> (a add X) add b
% Current number of equations to process: 106
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced : [165] ((d multiply b) add X) add a -> (b add X) add a
% Current number of equations to process: 105
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [166] ((X multiply Z) add Y) add inverse(Z) -> (X add Y) add inverse(Z)
% Rule
% [77]
% ((X multiply Y) add (X multiply Z)) add inverse(X) ->
% (Y add Z) add inverse(X) collapsed.
% Rule [152] ((b multiply X) add c) add inverse(b) -> (a add X) add inverse(b)
% collapsed.
% Rule [153] ((a multiply X) add c) add inverse(a) -> (b add X) add inverse(a)
% collapsed.
% Current number of equations to process: 105
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [167] (a add X) add inverse(b) -> (c add X) add inverse(b)
% Current number of equations to process: 103
% Current number of ordered equations: 1
% Current number of rules: 123
% New rule produced :
% [168] (b add X) add inverse(a) -> (c add X) add inverse(a)
% Current number of equations to process: 103
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [169]
% ((X multiply Y) multiply inverse(Y)) multiply inverse(X multiply Y) ->
% additive_identity
% Current number of equations to process: 123
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [170]
% (inverse(X multiply Y) multiply Y) add (inverse(X) multiply Y) ->
% inverse(X) multiply Y
% Current number of equations to process: 125
% Current number of ordered equations: 0
% Current number of rules: 126
% Rule [121] d add a -> d add c is composed into [121]
% d add a ->
% multiplicative_identity
% Rule [118] d add b -> d add c is composed into [118]
% d add b ->
% multiplicative_identity
% New rule produced : [171] d add c -> multiplicative_identity
% Current number of equations to process: 153
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [172]
% (inverse(inverse(X) multiply Y) multiply Y) add (X multiply Y) ->
% X multiply Y
% Current number of equations to process: 163
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [173]
% ((inverse(X) multiply Y) multiply X) multiply inverse(inverse(X) multiply Y)
% -> additive_identity
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [174] (X multiply Y) add ((inverse(Y) multiply X) add (X multiply Z)) -> X
% Current number of equations to process: 161
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced :
% [175]
% (inverse(b) multiply X) add ((a multiply X) add c) ->
% (inverse(b) multiply X) add c
% Current number of equations to process: 160
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced :
% [176]
% (inverse(a) multiply X) add ((b multiply X) add c) ->
% (inverse(a) multiply X) add c
% Current number of equations to process: 159
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced :
% [177] ((d multiply a) multiply inverse(a)) add (d multiply b) -> d multiply b
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced :
% [178] ((d multiply a) multiply X) add b -> (a multiply X) add b
% Current number of equations to process: 164
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [179] ((d multiply b) multiply inverse(b)) add (d multiply a) -> d multiply a
% Current number of equations to process: 167
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [180] ((d multiply b) multiply X) add a -> (b multiply X) add a
% Current number of equations to process: 169
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [181]
% (inverse(b) add X) add inverse(a) <-> ((c multiply X) add d) add inverse(a)
% Current number of equations to process: 168
% Current number of ordered equations: 1
% Current number of rules: 137
% New rule produced :
% [182]
% ((c multiply X) add d) add inverse(a) <-> (inverse(b) add X) add inverse(a)
% Current number of equations to process: 168
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [183]
% (inverse(a) add X) add inverse(b) <-> ((c multiply X) add d) add inverse(b)
% Current number of equations to process: 167
% Current number of ordered equations: 1
% Current number of rules: 139
% New rule produced :
% [184]
% ((c multiply X) add d) add inverse(b) <-> (inverse(a) add X) add inverse(b)
% Current number of equations to process: 167
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [185]
% (inverse(b) multiply inverse(a)) multiply inverse(d multiply a) ->
% inverse(d multiply a) multiply inverse(b)
% Current number of equations to process: 166
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [186]
% (inverse(b) multiply inverse(a)) multiply inverse(d multiply b) ->
% inverse(d multiply b) multiply inverse(a)
% Current number of equations to process: 165
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced : [187] (b multiply inverse(c)) add a -> b add a
% Current number of equations to process: 165
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [188]
% ((b multiply X) add c) add ((b multiply X) add a) -> (b multiply X) add a
% Current number of equations to process: 167
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced : [189] (a multiply inverse(c)) add b -> b add a
% Current number of equations to process: 167
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced : [190] (d multiply b) add (c multiply inverse(d)) -> b
% Current number of equations to process: 171
% Current number of ordered equations: 1
% Current number of rules: 146
% New rule produced : [191] (d multiply a) add (c multiply inverse(d)) -> a
% Current number of equations to process: 171
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced : [192] (b multiply inverse(c add inverse(b))) add c -> b
% Current number of equations to process: 174
% Current number of ordered equations: 1
% Current number of rules: 148
% New rule produced : [193] (a multiply inverse(c add inverse(a))) add c -> a
% Current number of equations to process: 174
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [194] (inverse(inverse(X) add Y) multiply X) add Y -> X add Y
% Rule [192] (b multiply inverse(c add inverse(b))) add c -> b collapsed.
% Rule [193] (a multiply inverse(c add inverse(a))) add c -> a collapsed.
% Current number of equations to process: 177
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [195]
% (X multiply Y) add inverse(inverse(X) add Y) ->
% inverse(inverse(X) add Y) add X
% Current number of equations to process: 178
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced :
% [196] (d multiply a) add (((b multiply X) multiply a) add c) -> a
% Current number of equations to process: 180
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced : [197] ((a multiply X) add c) add a -> a
% Current number of equations to process: 180
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [198] (d multiply b) add (((a multiply X) multiply b) add c) -> b
% Current number of equations to process: 183
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced : [199] ((b multiply X) add c) add b -> b
% Current number of equations to process: 183
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [200]
% ((a multiply X) add c) add ((a multiply X) add b) -> (a multiply X) add b
% Current number of equations to process: 183
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [201] (d multiply a) add (inverse(b add a) multiply inverse(b)) -> inverse(b)
% Current number of equations to process: 195
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [202] (d multiply b) add (inverse(b add a) multiply inverse(a)) -> inverse(a)
% Current number of equations to process: 194
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced :
% [203] (inverse(X add Y) multiply inverse(X)) add Y -> inverse(X) add Y
% Current number of equations to process: 206
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced :
% [204]
% (inverse(X) multiply Y) add inverse(X add Y) ->
% inverse(X add Y) add inverse(X)
% Current number of equations to process: 212
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [205] inverse(inverse(X) add Y) multiply X -> inverse(inverse(X) add Y)
% Rule [93] (inverse(inverse(X) add Y) multiply X) add (X multiply Y) -> X
% collapsed.
% Rule [194] (inverse(inverse(X) add Y) multiply X) add Y -> X add Y collapsed.
% Current number of equations to process: 214
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced : [206] inverse(inverse(X) add Y) add Y -> X add Y
% Current number of equations to process: 213
% Current number of ordered equations: 0
% Current number of rules: 158
% Rule [195]
% (X multiply Y) add inverse(inverse(X) add Y) ->
% inverse(inverse(X) add Y) add X is composed into [195]
% (X multiply Y) add
% inverse(inverse(X) add Y)
% -> X
% New rule produced : [207] inverse(inverse(X) add Y) add X -> X
% Current number of equations to process: 212
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [208]
% ((X multiply Y) multiply Z) add (inverse(X) multiply Y) ->
% (inverse(X) multiply Y) add (Y multiply Z)
% Current number of equations to process: 224
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [209]
% (inverse(b) multiply X) add ((d multiply X) add inverse(a)) ->
% (d multiply X) add inverse(a)
% Current number of equations to process: 223
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [210]
% (inverse(a) multiply X) add ((d multiply X) add inverse(b)) ->
% (d multiply X) add inverse(b)
% Current number of equations to process: 222
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [211]
% (inverse(X multiply Y) multiply Y) multiply (inverse(X) multiply Y) ->
% inverse(X multiply Y) multiply Y
% Current number of equations to process: 221
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [212]
% ((b multiply X) multiply c) add (d multiply a) ->
% (d multiply a) add (c multiply X)
% Current number of equations to process: 228
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [213]
% ((a multiply X) multiply c) add (d multiply b) ->
% (d multiply b) add (c multiply X)
% Current number of equations to process: 227
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [214]
% ((Y multiply Z) multiply X) add inverse(Z) -> (X multiply Y) add inverse(Z)
% Rule
% [143]
% ((X multiply Y) multiply inverse(inverse(X) add Y)) add inverse(X) ->
% inverse(X) collapsed.
% Current number of equations to process: 229
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [215] (inverse(Y multiply Z) multiply X) add (X multiply Z) -> X
% Current number of equations to process: 229
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced : [216] inverse(d) multiply inverse(a) -> additive_identity
% Current number of equations to process: 246
% Current number of ordered equations: 1
% Current number of rules: 167
% New rule produced : [217] inverse(d) multiply inverse(b) -> additive_identity
% Current number of equations to process: 246
% Current number of ordered equations: 0
% Current number of rules: 168
% Rule [204]
% (inverse(X) multiply Y) add inverse(X add Y) ->
% inverse(X add Y) add inverse(X) is composed into [204]
% (inverse(X) multiply Y) add
% inverse(X add Y) ->
% inverse(X)
% New rule produced : [218] inverse(X add Y) add inverse(X) -> inverse(X)
% Current number of equations to process: 246
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced : [219] c multiply inverse(a) -> additive_identity
% Current number of equations to process: 254
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced : [220] c multiply inverse(b) -> additive_identity
% Current number of equations to process: 255
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [221] (X multiply Y) multiply inverse(X) -> additive_identity
% Rule
% [169]
% ((X multiply Y) multiply inverse(Y)) multiply inverse(X multiply Y) ->
% additive_identity collapsed.
% Rule
% [173]
% ((inverse(X) multiply Y) multiply X) multiply inverse(inverse(X) multiply Y)
% -> additive_identity collapsed.
% Rule
% [177] ((d multiply a) multiply inverse(a)) add (d multiply b) -> d multiply b
% collapsed.
% Rule
% [179] ((d multiply b) multiply inverse(b)) add (d multiply a) -> d multiply a
% collapsed.
% Current number of equations to process: 254
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [222] inverse(X add Y) multiply inverse(X) -> inverse(X add Y)
% Rule
% [96]
% (inverse(X add Y) multiply inverse(X)) add (inverse(X) multiply Y) ->
% inverse(X) collapsed.
% Rule
% [201] (d multiply a) add (inverse(b add a) multiply inverse(b)) -> inverse(b)
% collapsed.
% Rule
% [202] (d multiply b) add (inverse(b add a) multiply inverse(a)) -> inverse(a)
% collapsed.
% Rule [203] (inverse(X add Y) multiply inverse(X)) add Y -> inverse(X) add Y
% collapsed.
% Current number of equations to process: 253
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced : [223] inverse(X add Y) add Y -> inverse(X) add Y
% Rule [206] inverse(inverse(X) add Y) add Y -> X add Y collapsed.
% Current number of equations to process: 252
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced : [224] (d multiply a) add inverse(b add a) -> inverse(b)
% Current number of equations to process: 251
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced : [225] (d multiply b) add inverse(b add a) -> inverse(a)
% Current number of equations to process: 250
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [226] (X multiply Y) multiply inverse(inverse(X) add Y) -> additive_identity
% Current number of equations to process: 248
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [227] (inverse(X) multiply Y) multiply inverse(X add Y) -> additive_identity
% Current number of equations to process: 247
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [228]
% (inverse(b) multiply X) multiply inverse(d multiply X) -> additive_identity
% Current number of equations to process: 245
% Current number of ordered equations: 1
% Current number of rules: 170
% New rule produced :
% [229]
% (inverse(a) multiply X) multiply inverse(d multiply X) -> additive_identity
% Current number of equations to process: 245
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced : [230] (d multiply a) multiply b -> additive_identity
% Current number of equations to process: 263
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [231] (inverse(b) multiply inverse(a)) multiply b -> additive_identity
% Current number of equations to process: 262
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced : [232] (d multiply b) multiply a -> additive_identity
% Current number of equations to process: 263
% Current number of ordered equations: 0
% Current number of rules: 174
% New rule produced :
% [233] (inverse(b) multiply inverse(a)) multiply a -> additive_identity
% Current number of equations to process: 262
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [234] a multiply inverse(c add inverse(b)) -> additive_identity
% Current number of equations to process: 271
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [235] b multiply inverse(c add inverse(a)) -> additive_identity
% Current number of equations to process: 270
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [236] (b multiply X) multiply inverse(c add X) -> additive_identity
% Current number of equations to process: 269
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [237] (a multiply X) multiply inverse(c add X) -> additive_identity
% Current number of equations to process: 268
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [238] (d multiply a) multiply inverse(b add a) -> additive_identity
% Current number of equations to process: 267
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [239] (d multiply b) multiply inverse(b add a) -> additive_identity
% Current number of equations to process: 266
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [240] (c multiply X) multiply inverse(a multiply X) -> additive_identity
% Current number of equations to process: 265
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [241] (c multiply X) multiply inverse(b multiply X) -> additive_identity
% Current number of equations to process: 264
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced : [242] (a multiply inverse(inverse(b) add X)) add c -> c
% Current number of equations to process: 273
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced : [243] (b multiply inverse(inverse(a) add X)) add c -> c
% Current number of equations to process: 272
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [244] c multiply inverse((b multiply X) add a) -> additive_identity
% Current number of equations to process: 272
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced :
% [245] c multiply inverse((a multiply X) add b) -> additive_identity
% Current number of equations to process: 272
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced : [246] (d multiply X) add (a multiply X) -> X
% Current number of equations to process: 279
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced : [247] (inverse(a) multiply X) add d -> d
% Current number of equations to process: 280
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced : [248] (d multiply X) add (b multiply X) -> X
% Current number of equations to process: 282
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced : [249] (inverse(b) multiply X) add d -> d
% Current number of equations to process: 283
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [250] ((d multiply X) add inverse(a)) add X -> inverse(a) add X
% Current number of equations to process: 283
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [251]
% inverse(d multiply a) multiply inverse(a) -> d multiply inverse(d multiply a)
% Current number of equations to process: 282
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [252] ((d multiply X) add inverse(b)) add X -> inverse(b) add X
% Current number of equations to process: 281
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [253]
% inverse(d multiply b) multiply inverse(b) -> d multiply inverse(d multiply b)
% Current number of equations to process: 280
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [254]
% ((X multiply Y) multiply Z) multiply inverse(X multiply Z) ->
% additive_identity
% Current number of equations to process: 279
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [255]
% (X multiply Y) multiply inverse((X multiply Z) add Y) -> additive_identity
% Current number of equations to process: 278
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [256] (d multiply inverse(inverse(b) add X)) add inverse(a) -> inverse(a)
% Current number of equations to process: 277
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced :
% [257] (d multiply inverse(inverse(a) add X)) add inverse(b) -> inverse(b)
% Current number of equations to process: 276
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [258] (d multiply a) multiply inverse(c add X) -> a multiply inverse(c add X)
% Current number of equations to process: 275
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [259] (d multiply b) multiply inverse(c add X) -> b multiply inverse(c add X)
% Current number of equations to process: 274
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [260] (d multiply a) multiply inverse(b add X) -> a multiply inverse(b add X)
% Rule [238] (d multiply a) multiply inverse(b add a) -> additive_identity
% collapsed.
% Current number of equations to process: 273
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [261] (d multiply b) multiply inverse(a add X) -> b multiply inverse(a add X)
% Rule [239] (d multiply b) multiply inverse(b add a) -> additive_identity
% collapsed.
% Current number of equations to process: 272
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [262]
% inverse(inverse(b) add X) multiply inverse(a) ->
% d multiply inverse(inverse(b) add X)
% Current number of equations to process: 270
% Current number of ordered equations: 1
% Current number of rules: 202
% New rule produced :
% [263]
% inverse(inverse(a) add X) multiply inverse(b) ->
% d multiply inverse(inverse(a) add X)
% Current number of equations to process: 270
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [264] (a multiply inverse(b add inverse(a add X))) add c -> a
% Current number of equations to process: 268
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [265] (b multiply inverse(a add inverse(b add X))) add c -> b
% Current number of equations to process: 267
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced : [266] ((d multiply a) add (c multiply X)) add a -> a
% Current number of equations to process: 273
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced : [267] ((d multiply b) add (c multiply X)) add b -> b
% Current number of equations to process: 272
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced : [268] ((d multiply X) add inverse(a)) add d -> d
% Current number of equations to process: 275
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced : [269] ((d multiply X) add inverse(b)) add d -> d
% Current number of equations to process: 274
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [270]
% (inverse(X) multiply Y) multiply inverse(X add Z) ->
% inverse(X add Z) multiply Y
% Rule
% [227] (inverse(X) multiply Y) multiply inverse(X add Y) -> additive_identity
% collapsed.
% Current number of equations to process: 273
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [271]
% a multiply inverse((d multiply a) add X) ->
% c multiply inverse((d multiply a) add X)
% Current number of equations to process: 272
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [272]
% b multiply inverse((d multiply b) add X) ->
% c multiply inverse((d multiply b) add X)
% Current number of equations to process: 271
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [273]
% ((d multiply a) multiply X) add (inverse(b) multiply X) ->
% inverse(b) multiply X
% Current number of equations to process: 270
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [274]
% ((d multiply b) multiply X) add (inverse(a) multiply X) ->
% inverse(a) multiply X
% Current number of equations to process: 269
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [275]
% ((d multiply a) add (inverse(b) multiply X)) add inverse(b) -> inverse(b)
% Current number of equations to process: 268
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [276]
% ((d multiply b) add (inverse(a) multiply X)) add inverse(a) -> inverse(a)
% Current number of equations to process: 267
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced :
% [277] (inverse(X) multiply Y) multiply X -> additive_identity
% Rule [231] (inverse(b) multiply inverse(a)) multiply b -> additive_identity
% collapsed.
% Rule [233] (inverse(b) multiply inverse(a)) multiply a -> additive_identity
% collapsed.
% Current number of equations to process: 275
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced : [278] ((b multiply X) multiply a) add c -> c
% Rule [196] (d multiply a) add (((b multiply X) multiply a) add c) -> a
% collapsed.
% Current number of equations to process: 273
% Current number of ordered equations: 1
% Current number of rules: 214
% New rule produced : [279] ((a multiply X) multiply b) add c -> c
% Rule [198] (d multiply b) add (((a multiply X) multiply b) add c) -> b
% collapsed.
% Current number of equations to process: 273
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [280] ((a multiply X) multiply inverse(b)) add (d multiply a) -> d multiply a
% Current number of equations to process: 275
% Current number of ordered equations: 1
% Current number of rules: 215
% New rule produced :
% [281] ((inverse(b) multiply X) multiply c) add (d multiply a) -> d multiply a
% Current number of equations to process: 275
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [282] ((b multiply X) multiply inverse(a)) add (d multiply b) -> d multiply b
% Current number of equations to process: 273
% Current number of ordered equations: 1
% Current number of rules: 217
% New rule produced :
% [283] ((inverse(a) multiply X) multiply c) add (d multiply b) -> d multiply b
% Current number of equations to process: 273
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [284] (X multiply Y) multiply inverse(X add Z) -> additive_identity
% Rule
% [226] (X multiply Y) multiply inverse(inverse(X) add Y) -> additive_identity
% collapsed.
% Rule [236] (b multiply X) multiply inverse(c add X) -> additive_identity
% collapsed.
% Rule [237] (a multiply X) multiply inverse(c add X) -> additive_identity
% collapsed.
% Rule
% [255]
% (X multiply Y) multiply inverse((X multiply Z) add Y) -> additive_identity
% collapsed.
% Current number of equations to process: 281
% Current number of ordered equations: 1
% Current number of rules: 215
% New rule produced :
% [285] (inverse(X add Y) multiply Z) multiply X -> additive_identity
% Current number of equations to process: 281
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced : [286] (d multiply X) add a -> a add X
% Rule [68] (d multiply b) add a -> b add a collapsed.
% Current number of equations to process: 281
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [287] (inverse(inverse(X) multiply Y) multiply Y) add X -> X
% Current number of equations to process: 287
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced :
% [288] (inverse(c) multiply X) add ((b multiply X) add c) -> c add X
% Current number of equations to process: 293
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [289] (inverse(c) multiply X) add ((a multiply X) add c) -> c add X
% Current number of equations to process: 292
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [290] ((inverse(c) multiply X) multiply b) add a -> (b multiply X) add a
% Current number of equations to process: 292
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [291] ((inverse(c) multiply X) multiply a) add b -> (a multiply X) add b
% Current number of equations to process: 292
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced : [292] (d multiply X) add b -> b add X
% Rule [67] (d multiply a) add b -> b add a collapsed.
% Current number of equations to process: 300
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced : [293] (X multiply Z) add (X add Y) -> X add Y
% Rule [113] (inverse(X) multiply Y) add (X add Y) -> X add Y collapsed.
% Rule [116] (X multiply Y) add (inverse(X) add Y) -> inverse(X) add Y
% collapsed.
% Rule [122] (d multiply a) add (b add a) -> b add a collapsed.
% Rule [123] (d multiply b) add (b add a) -> b add a collapsed.
% Current number of equations to process: 299
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced : [294] (inverse(inverse(X) add Y) multiply Z) add X -> X
% Current number of equations to process: 298
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [295] (inverse((inverse(X) multiply Y) add Z) multiply Y) add X -> X
% Current number of equations to process: 297
% Current number of ordered equations: 0
% Current number of rules: 220
% Rule [181]
% (inverse(b) add X) add inverse(a) <->
% ((c multiply X) add d) add inverse(a) is composed into [181]
% (inverse(b) add X) add
% inverse(a) <->
% (c multiply X) add d
% New rule produced : [296] (d add X) add inverse(a) -> d add X
% Rule
% [182]
% ((c multiply X) add d) add inverse(a) <-> (inverse(b) add X) add inverse(a)
% collapsed.
% Current number of equations to process: 300
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced :
% [297]
% (inverse(inverse(Y) add Z) multiply X) add (X multiply Y) -> X multiply Y
% Current number of equations to process: 299
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced :
% [298]
% (inverse(b) multiply X) multiply inverse((d multiply X) add inverse(a)) ->
% additive_identity
% Current number of equations to process: 298
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced :
% [299]
% (inverse(a) multiply X) multiply inverse((d multiply X) add inverse(b)) ->
% additive_identity
% Current number of equations to process: 297
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced :
% [300]
% (X multiply Y) multiply inverse(inverse(X) add Z) ->
% inverse(inverse(X) add Z) multiply Y
% Current number of equations to process: 296
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [301]
% ((inverse(X multiply Z) multiply Y) multiply X) add Z -> (X multiply Y) add Z
% Current number of equations to process: 295
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced :
% [302]
% (inverse(X add Z) multiply Y) add (inverse(X) multiply Y) ->
% inverse(X) multiply Y
% Current number of equations to process: 294
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced :
% [303]
% ((d multiply X) add inverse(a)) add (inverse(a) add X) -> inverse(a) add X
% Current number of equations to process: 293
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced : [304] ((b multiply X) add c) add (a add X) -> a add X
% Current number of equations to process: 302
% Current number of ordered equations: 1
% Current number of rules: 228
% New rule produced : [305] ((a multiply X) add c) add (b add X) -> b add X
% Current number of equations to process: 302
% Current number of ordered equations: 0
% Current number of rules: 229
% Rule [183]
% (inverse(a) add X) add inverse(b) <->
% ((c multiply X) add d) add inverse(b) is composed into [183]
% (inverse(a) add X) add
% inverse(b) <->
% (c multiply X) add d
% New rule produced : [306] (d add X) add inverse(b) -> d add X
% Rule
% [184]
% ((c multiply X) add d) add inverse(b) <-> (inverse(a) add X) add inverse(b)
% collapsed.
% Current number of equations to process: 321
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced :
% [307] inverse(d multiply a) add inverse(b) -> multiplicative_identity
% Current number of equations to process: 326
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced :
% [308] inverse(d multiply b) add inverse(a) -> multiplicative_identity
% Current number of equations to process: 325
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced : [309] (a multiply inverse(b multiply X)) add c -> a
% Current number of equations to process: 327
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced : [310] (b multiply inverse(a multiply X)) add c -> b
% Current number of equations to process: 327
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced :
% [311]
% inverse((X multiply Y) add (X multiply Z)) add X -> multiplicative_identity
% Current number of equations to process: 326
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced :
% [312] (c multiply inverse(d multiply a)) add inverse(b) -> c add inverse(b)
% Current number of equations to process: 334
% Current number of ordered equations: 1
% Current number of rules: 235
% New rule produced :
% [313] (inverse(d multiply a) multiply inverse(b)) add a -> c add inverse(b)
% Current number of equations to process: 334
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [314] (c multiply inverse(d multiply b)) add inverse(a) -> c add inverse(a)
% Current number of equations to process: 332
% Current number of ordered equations: 1
% Current number of rules: 237
% New rule produced :
% [315] (inverse(d multiply b) multiply inverse(a)) add b -> c add inverse(a)
% Current number of equations to process: 332
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced :
% [316]
% (d multiply inverse(inverse(b) multiply inverse(a))) add inverse(b) -> d
% Current number of equations to process: 338
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced :
% [317]
% (d multiply inverse(inverse(b) multiply inverse(a))) add inverse(a) -> d
% Current number of equations to process: 337
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [318] inverse(d add X) multiply inverse(b) -> additive_identity
% Current number of equations to process: 341
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced :
% [319] ((inverse(b) multiply X) multiply Y) add (d multiply X) -> d multiply X
% Current number of equations to process: 341
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced :
% [320] inverse(d add X) multiply inverse(a) -> additive_identity
% Current number of equations to process: 344
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced : [321] (b multiply X) add (inverse(c) multiply X) -> X
% Current number of equations to process: 345
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced :
% [322] ((inverse(a) multiply X) multiply Y) add (d multiply X) -> d multiply X
% Current number of equations to process: 344
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced : [323] (a multiply X) add (inverse(c) multiply X) -> X
% Current number of equations to process: 349
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced : [324] (c multiply X) add a -> a
% Current number of equations to process: 355
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced : [325] (a add X) add c -> a add X
% Current number of equations to process: 356
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [326]
% a multiply inverse(a multiply inverse(c)) ->
% c multiply inverse(a multiply inverse(c))
% Current number of equations to process: 355
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced :
% [327]
% (d multiply a) multiply (a multiply inverse(c)) -> a multiply inverse(c)
% Current number of equations to process: 367
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced : [328] d multiply inverse(c) -> inverse(c)
% Current number of equations to process: 371
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced :
% [329]
% (d multiply a) add inverse(a multiply inverse(c)) -> multiplicative_identity
% Current number of equations to process: 379
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [330] ((d multiply a) multiply c) add (a multiply inverse(c)) -> d multiply a
% Current number of equations to process: 378
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced : [331] (c multiply inverse(d multiply a)) add b -> b
% Current number of equations to process: 389
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [332] (c multiply inverse(d multiply a)) add d -> multiplicative_identity
% Current number of equations to process: 401
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [333]
% a add inverse(c multiply inverse(d multiply a)) -> multiplicative_identity
% Current number of equations to process: 400
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced : [334] c multiply inverse(a add X) -> additive_identity
% Rule [244] c multiply inverse((b multiply X) add a) -> additive_identity
% collapsed.
% Current number of equations to process: 403
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [335] ((c multiply X) multiply Y) add (a multiply X) -> a multiply X
% Current number of equations to process: 403
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced :
% [336] (a multiply inverse(b add inverse(d multiply a))) add c -> a
% Current number of equations to process: 402
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced :
% [337] (a multiply inverse((d multiply a) multiply c)) add c -> a
% Current number of equations to process: 409
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [338] (a multiply X) add d <-> ((d multiply a) add (c multiply X)) add d
% Current number of equations to process: 416
% Current number of ordered equations: 2
% Current number of rules: 260
% New rule produced :
% [339] ((d multiply a) add (c multiply X)) add X -> (d multiply a) add X
% Current number of equations to process: 416
% Current number of ordered equations: 1
% Current number of rules: 261
% New rule produced :
% [340] ((d multiply a) add (c multiply X)) add d <-> (a multiply X) add d
% Current number of equations to process: 416
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced :
% [341] ((d multiply X) multiply c) add (d multiply a) -> d multiply a
% Current number of equations to process: 417
% Current number of ordered equations: 0
% Current number of rules: 263
% New rule produced : [342] (c multiply X) add b -> b
% Rule [331] (c multiply inverse(d multiply a)) add b -> b collapsed.
% Current number of equations to process: 420
% Current number of ordered equations: 0
% Current number of rules: 263
% New rule produced : [343] (b add X) add c -> b add X
% Current number of equations to process: 421
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced :
% [344]
% b multiply inverse(b multiply inverse(c)) ->
% c multiply inverse(b multiply inverse(c))
% Current number of equations to process: 420
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced :
% [345]
% (d multiply b) multiply (b multiply inverse(c)) -> b multiply inverse(c)
% Current number of equations to process: 432
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced :
% [346]
% (d multiply b) add inverse(b multiply inverse(c)) -> multiplicative_identity
% Current number of equations to process: 444
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced :
% [347] ((d multiply b) multiply c) add (b multiply inverse(c)) -> d multiply b
% Current number of equations to process: 443
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced :
% [348] (c multiply inverse(d multiply b)) add d -> multiplicative_identity
% Current number of equations to process: 466
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [349]
% b add inverse(c multiply inverse(d multiply b)) -> multiplicative_identity
% Current number of equations to process: 465
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced : [350] c multiply inverse(b add X) -> additive_identity
% Rule [245] c multiply inverse((a multiply X) add b) -> additive_identity
% collapsed.
% Current number of equations to process: 468
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [351] ((c multiply X) multiply Y) add (b multiply X) -> b multiply X
% Current number of equations to process: 468
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced :
% [352] (b multiply inverse(a add inverse(d multiply b))) add c -> b
% Current number of equations to process: 467
% Current number of ordered equations: 0
% Current number of rules: 272
% New rule produced :
% [353] (b multiply inverse((d multiply b) multiply c)) add c -> b
% Current number of equations to process: 474
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [354] (b multiply X) add d <-> ((d multiply b) add (c multiply X)) add d
% Current number of equations to process: 483
% Current number of ordered equations: 2
% Current number of rules: 274
% New rule produced :
% [355] ((d multiply b) add (c multiply X)) add X -> (d multiply b) add X
% Current number of equations to process: 483
% Current number of ordered equations: 1
% Current number of rules: 275
% New rule produced :
% [356] ((d multiply b) add (c multiply X)) add d <-> (b multiply X) add d
% Current number of equations to process: 483
% Current number of ordered equations: 0
% Current number of rules: 276
% New rule produced :
% [357] ((d multiply X) multiply c) add (d multiply b) -> d multiply b
% Current number of equations to process: 484
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced :
% [358]
% (((X multiply Y) multiply Z) multiply V_3) add (X multiply Z) -> X multiply Z
% Current number of equations to process: 485
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced :
% [359]
% (X add Y) add inverse((X multiply Z) add (Y multiply Z)) ->
% multiplicative_identity
% Current number of equations to process: 484
% Current number of ordered equations: 0
% Current number of rules: 279
% New rule produced :
% [360]
% (inverse(X) multiply Y) add inverse(inverse(X multiply Y) multiply Y) ->
% multiplicative_identity
% Current number of equations to process: 483
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced :
% [361]
% (X multiply Y) add inverse(inverse(inverse(Y) multiply X) multiply X) ->
% multiplicative_identity
% Current number of equations to process: 482
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced :
% [362] (a multiply inverse(c add X)) add ((a multiply X) add c) -> a
% Current number of equations to process: 481
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced :
% [363]
% (a multiply inverse(c)) add inverse(d multiply a) ->
% inverse(d multiply a) add inverse(c)
% Current number of equations to process: 480
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced :
% [364]
% (c multiply inverse(d multiply a)) add inverse(a) ->
% inverse(d multiply a) add inverse(a)
% Current number of equations to process: 479
% Current number of ordered equations: 0
% Current number of rules: 284
% New rule produced :
% [365] ((c multiply inverse(d multiply a)) add (a multiply X)) add a -> a
% Current number of equations to process: 478
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced :
% [366]
% ((d multiply a) multiply X) multiply inverse((a multiply X) add c) ->
% additive_identity
% Current number of equations to process: 477
% Current number of ordered equations: 0
% Current number of rules: 286
% New rule produced :
% [367]
% ((a multiply X) multiply c) add (d multiply a) ->
% (d multiply a) add (c multiply X)
% Current number of equations to process: 476
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [368]
% (a multiply X) multiply inverse((d multiply a) add (c multiply X)) ->
% additive_identity
% Current number of equations to process: 475
% Current number of ordered equations: 0
% Current number of rules: 288
% New rule produced :
% [369] ((d multiply a) add (c multiply X)) add (d add X) -> d add X
% Current number of equations to process: 474
% Current number of ordered equations: 0
% Current number of rules: 289
% New rule produced :
% [370] (b multiply inverse(c add X)) add ((b multiply X) add c) -> b
% Current number of equations to process: 473
% Current number of ordered equations: 0
% Current number of rules: 290
% New rule produced :
% [371]
% (b multiply inverse(c)) add inverse(d multiply b) ->
% inverse(d multiply b) add inverse(c)
% Current number of equations to process: 472
% Current number of ordered equations: 0
% Current number of rules: 291
% New rule produced :
% [372]
% (c multiply inverse(d multiply b)) add inverse(b) ->
% inverse(d multiply b) add inverse(b)
% Current number of equations to process: 471
% Current number of ordered equations: 0
% Current number of rules: 292
% New rule produced :
% [373] ((c multiply inverse(d multiply b)) add (b multiply X)) add b -> b
% Current number of equations to process: 470
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced :
% [374]
% ((d multiply b) multiply X) multiply inverse((b multiply X) add c) ->
% additive_identity
% Current number of equations to process: 469
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced :
% [375]
% ((b multiply X) multiply c) add (d multiply b) ->
% (d multiply b) add (c multiply X)
% Current number of equations to process: 468
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced :
% [376]
% (b multiply X) multiply inverse((d multiply b) add (c multiply X)) ->
% additive_identity
% Current number of equations to process: 467
% Current number of ordered equations: 0
% Current number of rules: 296
% New rule produced :
% [377] ((d multiply b) add (c multiply X)) add (d add X) -> d add X
% Current number of equations to process: 466
% Current number of ordered equations: 0
% Current number of rules: 297
% New rule produced :
% [378]
% ((d multiply X) add inverse(b)) add (inverse(b) add X) -> inverse(b) add X
% Current number of equations to process: 465
% Current number of ordered equations: 0
% Current number of rules: 298
% Rule [146]
% ((d multiply a) add (c multiply X)) add inverse(b) <->
% (a multiply X) add inverse(b) is composed into [146]
% ((d multiply a) add
% (c multiply X)) add
% inverse(b) ->
% (c multiply X) add
% inverse(b)
% New rule produced :
% [379] (a multiply X) add inverse(b) -> (c multiply X) add inverse(b)
% Rule [103] (d multiply a) add inverse(b) -> inverse(b) collapsed.
% Rule
% [144]
% (a multiply X) add inverse(b) <->
% ((d multiply a) add (c multiply X)) add inverse(b) collapsed.
% Current number of equations to process: 470
% Current number of ordered equations: 0
% Current number of rules: 297
% New rule produced : [380] (d multiply c) add inverse(b) -> inverse(b)
% Current number of equations to process: 469
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [381]
% a multiply inverse(inverse(b) add X) -> c multiply inverse(inverse(b) add X)
% Rule [234] a multiply inverse(c add inverse(b)) -> additive_identity
% collapsed.
% Rule [242] (a multiply inverse(inverse(b) add X)) add c -> c collapsed.
% Current number of equations to process: 472
% Current number of ordered equations: 0
% Current number of rules: 297
% New rule produced : [382] (d multiply c) add inverse(a) -> inverse(a)
% Current number of equations to process: 473
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [383]
% ((c multiply X) add (inverse(b) multiply X)) add a ->
% (inverse(b) multiply X) add a
% Current number of equations to process: 472
% Current number of ordered equations: 0
% Current number of rules: 299
% Rule [149]
% ((d multiply b) add (c multiply X)) add inverse(a) <->
% (b multiply X) add inverse(a) is composed into [149]
% ((d multiply b) add
% (c multiply X)) add
% inverse(a) ->
% (c multiply X) add
% inverse(a)
% New rule produced :
% [384] (b multiply X) add inverse(a) -> (c multiply X) add inverse(a)
% Rule [106] (d multiply b) add inverse(a) -> inverse(a) collapsed.
% Rule
% [147]
% (b multiply X) add inverse(a) <->
% ((d multiply b) add (c multiply X)) add inverse(a) collapsed.
% Current number of equations to process: 476
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [385]
% b multiply inverse(inverse(a) add X) -> c multiply inverse(inverse(a) add X)
% Rule [235] b multiply inverse(c add inverse(a)) -> additive_identity
% collapsed.
% Rule [243] (b multiply inverse(inverse(a) add X)) add c -> c collapsed.
% Current number of equations to process: 479
% Current number of ordered equations: 0
% Current number of rules: 297
% New rule produced :
% [386]
% ((c multiply X) add (inverse(a) multiply X)) add b ->
% (inverse(a) multiply X) add b
% Current number of equations to process: 479
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [387] (inverse(inverse(X add Y) add Z) multiply X) add (X multiply Z) -> X
% Current number of equations to process: 485
% Current number of ordered equations: 0
% Current number of rules: 299
% New rule produced :
% [388]
% ((inverse(b) multiply X) multiply a) multiply inverse((a multiply X) add c)
% -> additive_identity
% Current number of equations to process: 484
% Current number of ordered equations: 0
% Current number of rules: 300
% New rule produced :
% [389]
% ((inverse(a) multiply X) multiply b) multiply inverse((b multiply X) add c)
% -> additive_identity
% Current number of equations to process: 483
% Current number of ordered equations: 0
% Current number of rules: 301
% New rule produced :
% [390] ((X multiply Y) add ((X multiply Z) add (X multiply V_3))) add X -> X
% Current number of equations to process: 482
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced :
% [391]
% (inverse(inverse(X) multiply Y) multiply inverse(Y)) add X ->
% inverse(inverse(X) multiply Y) add X
% Current number of equations to process: 481
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced :
% [392]
% ((inverse(X) multiply Y) multiply Z) multiply inverse((Y multiply Z) add X)
% -> additive_identity
% Current number of equations to process: 480
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced :
% [393] ((d multiply a) add (inverse(b) multiply X)) add (a add X) -> a add X
% Current number of equations to process: 479
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced :
% [394] ((d multiply b) add (inverse(a) multiply X)) add (b add X) -> b add X
% Current number of equations to process: 478
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced :
% [395]
% ((c multiply inverse(d multiply a)) multiply X) add (a multiply X) ->
% a multiply X
% Current number of equations to process: 477
% Current number of ordered equations: 0
% Current number of rules: 307
% New rule produced :
% [396]
% ((c multiply X) multiply Y) add ((a multiply X) multiply Y) ->
% (a multiply X) multiply Y
% Current number of equations to process: 476
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [397]
% ((d multiply a) multiply X) add ((a multiply X) add c) ->
% (a multiply X) add c
% Current number of equations to process: 475
% Current number of ordered equations: 0
% Current number of rules: 309
% New rule produced :
% [398]
% ((inverse(d) multiply X) multiply c) add (d multiply a) ->
% (d multiply a) add (c multiply X)
% Current number of equations to process: 474
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced :
% [399]
% ((c multiply inverse(d multiply b)) multiply X) add (b multiply X) ->
% b multiply X
% Current number of equations to process: 473
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced :
% [400]
% ((c multiply X) multiply Y) add ((b multiply X) multiply Y) ->
% (b multiply X) multiply Y
% Current number of equations to process: 472
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [401]
% ((d multiply b) multiply X) add ((b multiply X) add c) ->
% (b multiply X) add c
% Current number of equations to process: 471
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [402]
% ((inverse(d) multiply X) multiply c) add (d multiply b) ->
% (d multiply b) add (c multiply X)
% Current number of equations to process: 470
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [403]
% ((a multiply X) multiply c) add ((a multiply X) multiply inverse(b)) ->
% a multiply X
% Current number of equations to process: 469
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced :
% [404]
% (a multiply X) multiply inverse((c multiply X) add (inverse(b) multiply X))
% -> additive_identity
% Current number of equations to process: 468
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced :
% [405]
% ((b multiply X) multiply c) add ((b multiply X) multiply inverse(a)) ->
% b multiply X
% Current number of equations to process: 467
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced :
% [406]
% (b multiply X) multiply inverse((c multiply X) add (inverse(a) multiply X))
% -> additive_identity
% Current number of equations to process: 466
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced :
% [407] ((d multiply a) multiply c) add inverse(b) -> inverse(b)
% Current number of equations to process: 472
% Current number of ordered equations: 0
% Current number of rules: 319
% New rule produced :
% [408]
% (d multiply a) multiply inverse((c multiply X) add inverse(b)) ->
% additive_identity
% Current number of equations to process: 473
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [409]
% (c multiply inverse((d multiply a) multiply c)) add inverse(b) ->
% c add inverse(b)
% Current number of equations to process: 474
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced :
% [410] ((d multiply b) multiply c) add inverse(a) -> inverse(a)
% Current number of equations to process: 480
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced :
% [411]
% (d multiply b) multiply inverse((c multiply X) add inverse(a)) ->
% additive_identity
% Current number of equations to process: 481
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced :
% [412]
% (d multiply a) add (inverse(a) multiply X) ->
% (d multiply a) add (d multiply X)
% Rule [69] (d multiply a) add (inverse(b) multiply inverse(a)) -> inverse(b)
% collapsed.
% Current number of equations to process: 483
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced :
% [413]
% (c multiply inverse((d multiply b) multiply c)) add inverse(a) ->
% c add inverse(a)
% Current number of equations to process: 482
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [414]
% (d multiply b) add (inverse(b) multiply X) ->
% (d multiply b) add (d multiply X)
% Rule [70] (d multiply b) add (inverse(b) multiply inverse(a)) -> inverse(a)
% collapsed.
% Current number of equations to process: 498
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [415] ((a multiply inverse(d)) multiply c) add inverse(b) -> c add inverse(b)
% Current number of equations to process: 506
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced :
% [416] ((b multiply inverse(d)) multiply c) add inverse(a) -> c add inverse(a)
% Current number of equations to process: 506
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [417]
% (d multiply X) add inverse(inverse(b) multiply X) -> multiplicative_identity
% Current number of equations to process: 508
% Current number of ordered equations: 1
% Current number of rules: 327
% New rule produced :
% [418]
% (d multiply X) add inverse(inverse(a) multiply X) -> multiplicative_identity
% Current number of equations to process: 508
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [419] (a multiply X) add inverse(c multiply X) -> multiplicative_identity
% Current number of equations to process: 518
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [420] (b multiply X) add inverse(c multiply X) -> multiplicative_identity
% Current number of equations to process: 517
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [421] a add inverse((a multiply X) add c) -> multiplicative_identity
% Current number of equations to process: 523
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced :
% [422] b add inverse((b multiply X) add c) -> multiplicative_identity
% Current number of equations to process: 523
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced :
% [423]
% (X multiply Y) add inverse((Y multiply Z) multiply X) ->
% multiplicative_identity
% Current number of equations to process: 540
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [424] (c add X) add inverse((b multiply X) add c) -> multiplicative_identity
% Current number of equations to process: 539
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced :
% [425] (c add X) add inverse((a multiply X) add c) -> multiplicative_identity
% Current number of equations to process: 538
% Current number of ordered equations: 0
% Current number of rules: 335
% New rule produced :
% [426] ((d multiply a) multiply X) add inverse(b) -> inverse(b)
% Rule [407] ((d multiply a) multiply c) add inverse(b) -> inverse(b)
% collapsed.
% Current number of equations to process: 534
% Current number of ordered equations: 0
% Current number of rules: 335
% New rule produced :
% [427] (d multiply a) add (inverse(b) add X) -> inverse(b) add X
% Current number of equations to process: 537
% Current number of ordered equations: 0
% Current number of rules: 336
% New rule produced :
% [428] ((d multiply b) multiply X) add inverse(a) -> inverse(a)
% Rule [410] ((d multiply b) multiply c) add inverse(a) -> inverse(a)
% collapsed.
% Current number of equations to process: 538
% Current number of ordered equations: 0
% Current number of rules: 336
% New rule produced :
% [429] (d multiply b) add (inverse(a) add X) -> inverse(a) add X
% Current number of equations to process: 541
% Current number of ordered equations: 0
% Current number of rules: 337
% New rule produced :
% [430] d add inverse(inverse(b) multiply X) -> multiplicative_identity
% Current number of equations to process: 542
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced : [431] ((inverse(b) multiply X) multiply Y) add d -> d
% Current number of equations to process: 545
% Current number of ordered equations: 0
% Current number of rules: 339
% New rule produced : [432] (inverse(b) multiply X) add (d add Y) -> d add Y
% Current number of equations to process: 551
% Current number of ordered equations: 0
% Current number of rules: 340
% New rule produced :
% [433] ((d multiply X) add (inverse(b) multiply Y)) add d -> d
% Current number of equations to process: 550
% Current number of ordered equations: 0
% Current number of rules: 341
% New rule produced :
% [434] d add inverse(inverse(a) multiply X) -> multiplicative_identity
% Current number of equations to process: 551
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced : [435] ((inverse(a) multiply X) multiply Y) add d -> d
% Current number of equations to process: 554
% Current number of ordered equations: 0
% Current number of rules: 343
% New rule produced : [436] (inverse(a) multiply X) add (d add Y) -> d add Y
% Current number of equations to process: 560
% Current number of ordered equations: 0
% Current number of rules: 344
% New rule produced :
% [437] ((d multiply X) add (inverse(a) multiply Y)) add d -> d
% Current number of equations to process: 559
% Current number of ordered equations: 0
% Current number of rules: 345
% New rule produced :
% [438] (inverse(d multiply a) multiply X) add (inverse(b) multiply X) -> X
% Current number of equations to process: 557
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced :
% [439] (inverse(d multiply b) multiply X) add (inverse(a) multiply X) -> X
% Current number of equations to process: 556
% Current number of ordered equations: 0
% Current number of rules: 347
% New rule produced :
% [440] ((inverse(b) multiply X) multiply Y) add (d multiply Y) -> d multiply Y
% Current number of equations to process: 555
% Current number of ordered equations: 0
% Current number of rules: 348
% New rule produced :
% [441] (d multiply X) add (inverse(inverse(b) multiply Y) multiply X) -> X
% Current number of equations to process: 554
% Current number of ordered equations: 0
% Current number of rules: 349
% New rule produced :
% [442] ((inverse(a) multiply X) multiply Y) add (d multiply Y) -> d multiply Y
% Current number of equations to process: 552
% Current number of ordered equations: 0
% Current number of rules: 350
% New rule produced :
% [443] (d multiply X) add (inverse(inverse(a) multiply Y) multiply X) -> X
% Current number of equations to process: 551
% Current number of ordered equations: 0
% Current number of rules: 351
% New rule produced :
% [444] inverse((X multiply Y) multiply Z) add X -> multiplicative_identity
% Current number of equations to process: 552
% Current number of ordered equations: 0
% Current number of rules: 352
% New rule produced :
% [445]
% ((d multiply a) multiply X) multiply inverse(b) -> (d multiply a) multiply X
% Current number of equations to process: 555
% Current number of ordered equations: 0
% Current number of rules: 353
% New rule produced :
% [446]
% ((d multiply b) multiply X) multiply inverse(a) -> (d multiply b) multiply X
% Current number of equations to process: 554
% Current number of ordered equations: 0
% Current number of rules: 354
% New rule produced :
% [447]
% ((inverse(b) multiply X) multiply Y) multiply d ->
% (inverse(b) multiply X) multiply Y
% Current number of equations to process: 552
% Current number of ordered equations: 1
% Current number of rules: 355
% New rule produced :
% [448]
% ((inverse(a) multiply X) multiply Y) multiply d ->
% (inverse(a) multiply X) multiply Y
% Current number of equations to process: 552
% Current number of ordered equations: 0
% Current number of rules: 356
% New rule produced :
% [449] (((X multiply Y) multiply Z) multiply V_3) add X -> X
% Current number of equations to process: 558
% Current number of ordered equations: 0
% Current number of rules: 357
% New rule produced :
% [450] ((c multiply X) multiply Y) multiply a -> (c multiply X) multiply Y
% Current number of equations to process: 559
% Current number of ordered equations: 0
% Current number of rules: 358
% New rule produced :
% [451] ((c multiply X) multiply Y) multiply b -> (c multiply X) multiply Y
% Current number of equations to process: 560
% Current number of ordered equations: 0
% Current number of rules: 359
% New rule produced :
% [452] ((a multiply X) multiply inverse(b)) add c -> (a multiply X) add c
% Current number of equations to process: 566
% Current number of ordered equations: 0
% Current number of rules: 360
% New rule produced :
% [453] ((b multiply X) multiply inverse(a)) add c -> (b multiply X) add c
% Current number of equations to process: 565
% Current number of ordered equations: 0
% Current number of rules: 361
% New rule produced :
% [454] (a multiply inverse(c)) multiply d -> a multiply inverse(c)
% Current number of equations to process: 582
% Current number of ordered equations: 0
% Current number of rules: 362
% New rule produced :
% [455] (b multiply inverse(c)) multiply d -> b multiply inverse(c)
% Current number of equations to process: 585
% Current number of ordered equations: 0
% Current number of rules: 363
% New rule produced :
% [456] ((X multiply Y) multiply Z) add (X add V_3) -> X add V_3
% Current number of equations to process: 586
% Current number of ordered equations: 0
% Current number of rules: 364
% New rule produced :
% [457] (inverse(X multiply Y) multiply Y) add inverse(X) -> inverse(X)
% Current number of equations to process: 600
% Current number of ordered equations: 0
% Current number of rules: 365
% New rule produced :
% [458] ((X multiply Y) multiply Z) multiply inverse(X) -> additive_identity
% Current number of equations to process: 602
% Current number of ordered equations: 0
% Current number of rules: 366
% New rule produced :
% [459] a add inverse(c multiply X) -> multiplicative_identity
% Rule
% [333]
% a add inverse(c multiply inverse(d multiply a)) -> multiplicative_identity
% collapsed.
% Current number of equations to process: 609
% Current number of ordered equations: 0
% Current number of rules: 366
% New rule produced : [460] ((c multiply X) multiply Y) add a -> a
% Current number of equations to process: 612
% Current number of ordered equations: 0
% Current number of rules: 367
% New rule produced : [461] (c multiply X) add (a add Y) -> a add Y
% Current number of equations to process: 619
% Current number of ordered equations: 0
% Current number of rules: 368
% New rule produced : [462] ((c multiply X) add (a multiply Y)) add a -> a
% Rule [266] ((d multiply a) add (c multiply X)) add a -> a collapsed.
% Rule [365] ((c multiply inverse(d multiply a)) add (a multiply X)) add a -> a
% collapsed.
% Current number of equations to process: 618
% Current number of ordered equations: 0
% Current number of rules: 367
% New rule produced :
% [463] b add inverse(c multiply X) -> multiplicative_identity
% Rule
% [349]
% b add inverse(c multiply inverse(d multiply b)) -> multiplicative_identity
% collapsed.
% Current number of equations to process: 619
% Current number of ordered equations: 0
% Current number of rules: 367
% New rule produced : [464] ((c multiply X) multiply Y) add b -> b
% Current number of equations to process: 622
% Current number of ordered equations: 0
% Current number of rules: 368
% New rule produced : [465] (c multiply X) add (b add Y) -> b add Y
% Current number of equations to process: 629
% Current number of ordered equations: 0
% Current number of rules: 369
% New rule produced : [466] ((c multiply X) add (b multiply Y)) add b -> b
% Rule [267] ((d multiply b) add (c multiply X)) add b -> b collapsed.
% Rule [373] ((c multiply inverse(d multiply b)) add (b multiply X)) add b -> b
% collapsed.
% Current number of equations to process: 628
% Current number of ordered equations: 0
% Current number of rules: 368
% New rule produced : [467] (d add X) add a -> multiplicative_identity
% Current number of equations to process: 628
% Current number of ordered equations: 0
% Current number of rules: 369
% New rule produced :
% [468] ((c multiply X) multiply Y) add (a multiply Y) -> a multiply Y
% Rule
% [395]
% ((c multiply inverse(d multiply a)) multiply X) add (a multiply X) ->
% a multiply X collapsed.
% Current number of equations to process: 625
% Current number of ordered equations: 0
% Current number of rules: 369
% New rule produced :
% [469] (c multiply inverse(X)) add (a multiply X) -> (a multiply X) add c
% Rule [191] (d multiply a) add (c multiply inverse(d)) -> a collapsed.
% Current number of equations to process: 624
% Current number of ordered equations: 0
% Current number of rules: 369
% New rule produced :
% [470] (a multiply X) add (inverse(c multiply Y) multiply X) -> X
% Current number of equations to process: 623
% Current number of ordered equations: 0
% Current number of rules: 370
% New rule produced :
% [471] ((c multiply X) multiply Y) add (b multiply Y) -> b multiply Y
% Rule
% [399]
% ((c multiply inverse(d multiply b)) multiply X) add (b multiply X) ->
% b multiply X collapsed.
% Current number of equations to process: 621
% Current number of ordered equations: 0
% Current number of rules: 370
% New rule produced :
% [472] (c multiply inverse(X)) add (b multiply X) -> (b multiply X) add c
% Rule [190] (d multiply b) add (c multiply inverse(d)) -> b collapsed.
% Current number of equations to process: 620
% Current number of ordered equations: 0
% Current number of rules: 370
% New rule produced :
% [473] (b multiply X) add (inverse(c multiply Y) multiply X) -> X
% Current number of equations to process: 619
% Current number of ordered equations: 0
% Current number of rules: 371
% New rule produced :
% [474] (((d multiply a) multiply X) multiply c) add inverse(b) -> inverse(b)
% Current number of equations to process: 617
% Current number of ordered equations: 0
% Current number of rules: 372
% New rule produced :
% [475] (((d multiply b) multiply X) multiply c) add inverse(a) -> inverse(a)
% Current number of equations to process: 616
% Current number of ordered equations: 0
% Current number of rules: 373
% New rule produced :
% [476]
% (c multiply X) add (a multiply inverse(X)) -> (a multiply inverse(X)) add c
% Current number of equations to process: 615
% Current number of ordered equations: 0
% Current number of rules: 374
% New rule produced :
% [477]
% (c multiply X) add (b multiply inverse(X)) -> (b multiply inverse(X)) add c
% Current number of equations to process: 614
% Current number of ordered equations: 0
% Current number of rules: 375
% New rule produced : [478] (a add X) add inverse(c) -> multiplicative_identity
% Current number of equations to process: 623
% Current number of ordered equations: 1
% Current number of rules: 376
% New rule produced : [479] (b add X) add inverse(c) -> multiplicative_identity
% Current number of equations to process: 623
% Current number of ordered equations: 0
% Current number of rules: 377
% New rule produced :
% [480] (inverse(b) add X) add inverse(d multiply a) -> multiplicative_identity
% Current number of equations to process: 624
% Current number of ordered equations: 0
% Current number of rules: 378
% New rule produced :
% [481] (inverse(a) add X) add inverse(d multiply b) -> multiplicative_identity
% Current number of equations to process: 623
% Current number of ordered equations: 0
% Current number of rules: 379
% New rule produced :
% [482] (c add inverse(b)) add inverse(a multiply X) -> multiplicative_identity
% Current number of equations to process: 632
% Current number of ordered equations: 0
% Current number of rules: 380
% New rule produced :
% [483] (c add inverse(a)) add inverse(b multiply X) -> multiplicative_identity
% Current number of equations to process: 631
% Current number of ordered equations: 0
% Current number of rules: 381
% New rule produced :
% [484]
% (a multiply X) add inverse((c multiply X) multiply Y) ->
% multiplicative_identity
% Current number of equations to process: 636
% Current number of ordered equations: 0
% Current number of rules: 382
% New rule produced :
% [485]
% (b multiply X) add inverse((c multiply X) multiply Y) ->
% multiplicative_identity
% Current number of equations to process: 635
% Current number of ordered equations: 0
% Current number of rules: 383
% New rule produced : [486] (d add X) add b -> multiplicative_identity
% Current number of equations to process: 636
% Current number of ordered equations: 0
% Current number of rules: 384
% New rule produced :
% [487] (a add X) add inverse(c multiply Y) -> multiplicative_identity
% Current number of equations to process: 658
% Current number of ordered equations: 0
% Current number of rules: 385
% New rule produced :
% [488] (b add X) add inverse(c multiply Y) -> multiplicative_identity
% Current number of equations to process: 657
% Current number of ordered equations: 0
% Current number of rules: 386
% New rule produced :
% [489] (d add X) add inverse(inverse(b) multiply Y) -> multiplicative_identity
% Current number of equations to process: 656
% Current number of ordered equations: 0
% Current number of rules: 387
% New rule produced :
% [490] (d add X) add inverse(inverse(a) multiply Y) -> multiplicative_identity
% Current number of equations to process: 655
% Current number of ordered equations: 0
% Current number of rules: 388
% New rule produced :
% [491]
% (X add Y) add inverse((X multiply Z) multiply V_3) -> multiplicative_identity
% Current number of equations to process: 654
% Current number of ordered equations: 0
% Current number of rules: 389
% New rule produced :
% [492]
% inverse(((X multiply Y) multiply Z) multiply V_3) add X ->
% multiplicative_identity
% Current number of equations to process: 653
% Current number of ordered equations: 0
% Current number of rules: 390
% New rule produced :
% [493] ((d multiply X) add inverse(b)) add a -> (inverse(b) add X) add a
% Current number of equations to process: 653
% Current number of ordered equations: 0
% Current number of rules: 391
% New rule produced :
% [494] (((X multiply Y) multiply Z) add (X multiply V_3)) add X -> X
% Current number of equations to process: 652
% Current number of ordered equations: 0
% Current number of rules: 392
% New rule produced :
% [495] ((a multiply inverse(c)) multiply X) add (d multiply a) -> d multiply a
% Current number of equations to process: 651
% Current number of ordered equations: 0
% Current number of rules: 393
% New rule produced :
% [496] ((b multiply inverse(c)) multiply X) add (d multiply b) -> d multiply b
% Current number of equations to process: 650
% Current number of ordered equations: 0
% Current number of rules: 394
% Rule [338] (a multiply X) add d <-> ((d multiply a) add (c multiply X)) add d is composed into
% [338] (a multiply X) add d -> (c multiply X) add d
% New rule produced :
% [497] ((c multiply X) add (a multiply Y)) add Y -> (c multiply X) add Y
% Rule [340] ((d multiply a) add (c multiply X)) add d <-> (a multiply X) add d
% collapsed.
% Current number of equations to process: 649
% Current number of ordered equations: 0
% Current number of rules: 394
% Rule [354] (b multiply X) add d <-> ((d multiply b) add (c multiply X)) add d is composed into
% [354] (b multiply X) add d -> (c multiply X) add d
% New rule produced :
% [498] ((c multiply X) add (b multiply Y)) add Y -> (c multiply X) add Y
% Rule [356] ((d multiply b) add (c multiply X)) add d <-> (b multiply X) add d
% collapsed.
% Current number of equations to process: 648
% Current number of ordered equations: 0
% Current number of rules: 394
% New rule produced :
% [499]
% (d multiply X) add inverse((inverse(a) multiply X) multiply Y) ->
% multiplicative_identity
% Current number of equations to process: 645
% Current number of ordered equations: 1
% Current number of rules: 395
% New rule produced :
% [500]
% (d multiply X) add inverse((inverse(b) multiply X) multiply Y) ->
% multiplicative_identity
% Current number of equations to process: 645
% Current number of ordered equations: 0
% Current number of rules: 396
% New rule produced :
% [501]
% ((d multiply a) add X) add inverse(a multiply inverse(c)) ->
% multiplicative_identity
% Current number of equations to process: 641
% Current number of ordered equations: 0
% Current number of rules: 397
% New rule produced :
% [502]
% ((d multiply b) add X) add inverse(b multiply inverse(c)) ->
% multiplicative_identity
% Current number of equations to process: 639
% Current number of ordered equations: 0
% Current number of rules: 398
% New rule produced :
% [503]
% ((inverse(inverse(X) multiply Y) add Z) add Y) add X ->
% multiplicative_identity
% Current number of equations to process: 637
% Current number of ordered equations: 0
% Current number of rules: 399
% New rule produced :
% [504]
% (d multiply X) add (inverse(b) multiply inverse(X)) ->
% (d multiply X) add inverse(b)
% Current number of equations to process: 639
% Current number of ordered equations: 0
% Current number of rules: 400
% New rule produced :
% [505]
% (d multiply X) add (inverse(a) multiply inverse(X)) ->
% (d multiply X) add inverse(a)
% Current number of equations to process: 638
% Current number of ordered equations: 0
% Current number of rules: 401
% New rule produced :
% [506]
% (inverse(X multiply Y) multiply Y) multiply inverse(X) ->
% inverse(X multiply Y) multiply Y
% Current number of equations to process: 637
% Current number of ordered equations: 0
% Current number of rules: 402
% New rule produced :
% [507]
% (a multiply inverse(c)) add (a multiply X) ->
% (c multiply X) add (a multiply inverse(c))
% Current number of equations to process: 636
% Current number of ordered equations: 0
% Current number of rules: 403
% New rule produced :
% [508]
% (b multiply inverse(c)) add (b multiply X) ->
% (c multiply X) add (b multiply inverse(c))
% Current number of equations to process: 635
% Current number of ordered equations: 0
% Current number of rules: 404
% New rule produced :
% [509] ((d multiply X) add inverse(a)) add b -> (inverse(a) add X) add b
% Current number of equations to process: 641
% Current number of ordered equations: 0
% Current number of rules: 405
% New rule produced :
% [510] (X multiply Z) add ((inverse(Z) multiply X) add Y) -> X add Y
% Rule
% [174] (X multiply Y) add ((inverse(Y) multiply X) add (X multiply Z)) -> X
% collapsed.
% Current number of equations to process: 642
% Current number of ordered equations: 0
% Current number of rules: 405
% New rule produced :
% [511] (inverse(Z) multiply X) add ((X multiply Z) add Y) -> X add Y
% Current number of equations to process: 641
% Current number of ordered equations: 0
% Current number of rules: 406
% New rule produced : [512] (X add Y) add (X add Z) -> (X add Y) add Z
% Rule [119] ((b multiply X) add c) add (c add X) -> c add X collapsed.
% Rule [124] ((a multiply X) add c) add (c add X) -> c add X collapsed.
% Rule
% [188]
% ((b multiply X) add c) add ((b multiply X) add a) -> (b multiply X) add a
% collapsed.
% Rule
% [200]
% ((a multiply X) add c) add ((a multiply X) add b) -> (a multiply X) add b
% collapsed.
% Rule
% [303]
% ((d multiply X) add inverse(a)) add (inverse(a) add X) -> inverse(a) add X
% collapsed.
% Rule
% [378]
% ((d multiply X) add inverse(b)) add (inverse(b) add X) -> inverse(b) add X
% collapsed.
% Current number of equations to process: 643
% Current number of ordered equations: 0
% Current number of rules: 401
% New rule produced : [513] (inverse(inverse(Y) add Z) add X) add Y -> X add Y
% Current number of equations to process: 644
% Current number of ordered equations: 0
% Current number of rules: 402
% New rule produced : [514] ((d multiply a) add X) add c -> a add X
% Current number of equations to process: 645
% Current number of ordered equations: 0
% Current number of rules: 403
% New rule produced : [515] (d multiply a) add (c add X) -> a add X
% Current number of equations to process: 645
% Current number of ordered equations: 0
% Current number of rules: 404
% New rule produced : [516] ((d multiply b) add X) add c -> b add X
% Current number of equations to process: 645
% Current number of ordered equations: 0
% Current number of rules: 405
% New rule produced : [517] (d multiply b) add (c add X) -> b add X
% Current number of equations to process: 645
% Current number of ordered equations: 0
% Current number of rules: 406
% New rule produced :
% [518] ((inverse(d multiply a) add X) add a) add b -> multiplicative_identity
% Current number of equations to process: 649
% Current number of ordered equations: 0
% Current number of rules: 407
% New rule produced :
% [519] (((d multiply a) add X) add a) add b -> (a add X) add b
% Current number of equations to process: 653
% Current number of ordered equations: 0
% Current number of rules: 408
% New rule produced :
% [520] ((inverse(d multiply b) add X) add b) add a -> multiplicative_identity
% Current number of equations to process: 659
% Current number of ordered equations: 0
% Current number of rules: 409
% New rule produced :
% [521] (((d multiply b) add X) add b) add a -> (b add X) add a
% Current number of equations to process: 663
% Current number of ordered equations: 0
% Current number of rules: 410
% New rule produced :
% [522]
% ((inverse(X multiply Y) add Z) add Y) add inverse(X) ->
% multiplicative_identity
% Current number of equations to process: 670
% Current number of ordered equations: 0
% Current number of rules: 411
% New rule produced :
% [523]
% ((d multiply X) add inverse(b)) add inverse(inverse(a) multiply X) ->
% multiplicative_identity
% Current number of equations to process: 670
% Current number of ordered equations: 0
% Current number of rules: 412
% New rule produced :
% [524]
% ((d multiply X) add inverse(a)) add inverse(inverse(b) multiply X) ->
% multiplicative_identity
% Current number of equations to process: 668
% Current number of ordered equations: 0
% Current number of rules: 413
% New rule produced :
% [525]
% ((b multiply X) add a) add inverse((b multiply X) add c) ->
% multiplicative_identity
% Current number of equations to process: 667
% Current number of ordered equations: 0
% Current number of rules: 414
% New rule produced :
% [526]
% ((a multiply X) add b) add inverse((a multiply X) add c) ->
% multiplicative_identity
% Current number of equations to process: 666
% Current number of ordered equations: 0
% Current number of rules: 415
% New rule produced :
% [527]
% ((a multiply X) add c) add inverse((d multiply a) multiply X) ->
% multiplicative_identity
% Current number of equations to process: 665
% Current number of ordered equations: 0
% Current number of rules: 416
% New rule produced :
% [528]
% ((d multiply a) add (c multiply X)) add inverse(a multiply X) ->
% multiplicative_identity
% Current number of equations to process: 664
% Current number of ordered equations: 0
% Current number of rules: 417
% New rule produced :
% [529]
% ((b multiply X) add c) add inverse((d multiply b) multiply X) ->
% multiplicative_identity
% Current number of equations to process: 663
% Current number of ordered equations: 0
% Current number of rules: 418
% New rule produced :
% [530]
% ((d multiply b) add (c multiply X)) add inverse(b multiply X) ->
% multiplicative_identity
% Current number of equations to process: 662
% Current number of ordered equations: 0
% Current number of rules: 419
% New rule produced :
% [531]
% (d multiply inverse(X)) add (inverse(b) multiply X) ->
% (d multiply inverse(X)) add inverse(b)
% Current number of equations to process: 661
% Current number of ordered equations: 0
% Current number of rules: 420
% New rule produced :
% [532]
% (d multiply inverse(X)) add (inverse(a) multiply X) ->
% (d multiply inverse(X)) add inverse(a)
% Current number of equations to process: 660
% Current number of ordered equations: 0
% Current number of rules: 421
% New rule produced :
% [533]
% (((X multiply Y) multiply Z) multiply V_3) multiply X ->
% ((X multiply Y) multiply Z) multiply V_3
% Current number of equations to process: 658
% Current number of ordered equations: 1
% Current number of rules: 422
% New rule produced :
% [534]
% (((X multiply Y) multiply Z) multiply V_3) add (X multiply V_3) ->
% X multiply V_3
% Current number of equations to process: 658
% Current number of ordered equations: 0
% Current number of rules: 423
% New rule produced :
% [535]
% (inverse(inverse(X) multiply Y) multiply Y) multiply X ->
% inverse(inverse(X) multiply Y) multiply Y
% Current number of equations to process: 655
% Current number of ordered equations: 0
% Current number of rules: 424
% New rule produced :
% [536]
% (((b multiply X) multiply Y) add c) add a ->
% ((b multiply X) multiply Y) add a
% Current number of equations to process: 654
% Current number of ordered equations: 0
% Current number of rules: 425
% New rule produced :
% [537]
% (((a multiply X) multiply Y) add c) add b ->
% ((a multiply X) multiply Y) add b
% Current number of equations to process: 653
% Current number of ordered equations: 0
% Current number of rules: 426
% New rule produced :
% [538]
% (inverse((Y multiply Z) multiply V_3) multiply X) add (X multiply Y) -> X
% Current number of equations to process: 652
% Current number of ordered equations: 0
% Current number of rules: 427
% New rule produced :
% [539]
% (X add Y) add inverse((X multiply Z) add (X multiply V_3)) ->
% multiplicative_identity
% Current number of equations to process: 648
% Current number of ordered equations: 0
% Current number of rules: 428
% New rule produced :
% [540]
% (X multiply Y) add inverse(((Y multiply Z) multiply X) multiply V_3) ->
% multiplicative_identity
% Current number of equations to process: 647
% Current number of ordered equations: 0
% Current number of rules: 429
% New rule produced :
% [541] (((inverse(Z) multiply X) add Y) add X) add Z -> (X add Y) add Z
% Current number of equations to process: 643
% Current number of ordered equations: 0
% Current number of rules: 430
% New rule produced :
% [542] ((inverse(d multiply a) multiply X) add a) add b -> (a add X) add b
% Current number of equations to process: 642
% Current number of ordered equations: 0
% Current number of rules: 431
% New rule produced :
% [543]
% ((a add X) add b) add inverse((d multiply a) add X) ->
% multiplicative_identity
% Current number of equations to process: 641
% Current number of ordered equations: 0
% Current number of rules: 432
% New rule produced :
% [544] ((inverse(d multiply b) multiply X) add b) add a -> (b add X) add a
% Current number of equations to process: 640
% Current number of ordered equations: 0
% Current number of rules: 433
% New rule produced :
% [545]
% ((b add X) add a) add inverse((d multiply b) add X) ->
% multiplicative_identity
% Current number of equations to process: 639
% Current number of ordered equations: 0
% Current number of rules: 434
% New rule produced : [546] (inverse(b) add X) add inverse(a) -> d add X
% Rule [181] (inverse(b) add X) add inverse(a) <-> (c multiply X) add d
% collapsed.
% Current number of equations to process: 648
% Current number of ordered equations: 0
% Current number of rules: 434
% Rule [354] (b multiply X) add d -> (c multiply X) add d is composed into
% [354] (b multiply X) add d -> d add X
% Rule [338] (a multiply X) add d -> (c multiply X) add d is composed into
% [338] (a multiply X) add d -> d add X
% Rule [183] (inverse(a) add X) add inverse(b) <-> (c multiply X) add d is composed into
% [183] (inverse(a) add X) add inverse(b) -> d add X
% New rule produced : [547] (c multiply X) add d -> d add X
% Rule
% [332] (c multiply inverse(d multiply a)) add d -> multiplicative_identity
% collapsed.
% Rule
% [348] (c multiply inverse(d multiply b)) add d -> multiplicative_identity
% collapsed.
% Current number of equations to process: 647
% Current number of ordered equations: 0
% Current number of rules: 433
% New rule produced :
% [548] (X multiply Y) add inverse(Y multiply Z) -> inverse(Y multiply Z) add X
% Rule
% [329]
% (d multiply a) add inverse(a multiply inverse(c)) -> multiplicative_identity
% collapsed.
% Rule
% [346]
% (d multiply b) add inverse(b multiply inverse(c)) -> multiplicative_identity
% collapsed.
% Rule
% [360]
% (inverse(X) multiply Y) add inverse(inverse(X multiply Y) multiply Y) ->
% multiplicative_identity collapsed.
% Rule
% [361]
% (X multiply Y) add inverse(inverse(inverse(Y) multiply X) multiply X) ->
% multiplicative_identity collapsed.
% Rule
% [363]
% (a multiply inverse(c)) add inverse(d multiply a) ->
% inverse(d multiply a) add inverse(c) collapsed.
% Rule
% [371]
% (b multiply inverse(c)) add inverse(d multiply b) ->
% inverse(d multiply b) add inverse(c) collapsed.
% Rule
% [417]
% (d multiply X) add inverse(inverse(b) multiply X) -> multiplicative_identity
% collapsed.
% Rule
% [418]
% (d multiply X) add inverse(inverse(a) multiply X) -> multiplicative_identity
% collapsed.
% Rule
% [419] (a multiply X) add inverse(c multiply X) -> multiplicative_identity
% collapsed.
% Rule
% [420] (b multiply X) add inverse(c multiply X) -> multiplicative_identity
% collapsed.
% Rule
% [423]
% (X multiply Y) add inverse((Y multiply Z) multiply X) ->
% multiplicative_identity collapsed.
% Current number of equations to process: 649
% Current number of ordered equations: 0
% Current number of rules: 423
% New rule produced :
% [549] d add inverse(a multiply inverse(c)) -> multiplicative_identity
% Current number of equations to process: 648
% Current number of ordered equations: 0
% Current number of rules: 424
% New rule produced :
% [550] d add inverse(b multiply inverse(c)) -> multiplicative_identity
% Current number of equations to process: 647
% Current number of ordered equations: 0
% Current number of rules: 425
% New rule produced :
% [551]
% inverse(inverse(X multiply Y) multiply Y) add inverse(X) ->
% multiplicative_identity
% Current number of equations to process: 646
% Current number of ordered equations: 0
% Current number of rules: 426
% New rule produced :
% [552]
% inverse(inverse(inverse(Y) multiply X) multiply X) add Y ->
% multiplicative_identity
% Current number of equations to process: 645
% Current number of ordered equations: 0
% Current number of rules: 427
% New rule produced : [553] (a multiply X) add inverse(c) -> inverse(c) add X
% Current number of equations to process: 650
% Current number of ordered equations: 0
% Current number of rules: 428
% New rule produced : [554] (b multiply X) add inverse(c) -> inverse(c) add X
% Current number of equations to process: 650
% Current number of ordered equations: 0
% Current number of rules: 429
% New rule produced :
% [555]
% ((inverse(b) multiply X) add c) add inverse(a) -> (c add X) add inverse(a)
% Current number of equations to process: 656
% Current number of ordered equations: 0
% Current number of rules: 430
% New rule produced :
% [556]
% ((inverse(a) multiply X) add c) add inverse(b) -> (c add X) add inverse(b)
% Current number of equations to process: 655
% Current number of ordered equations: 0
% Current number of rules: 431
% New rule produced :
% [557] (inverse(X add Z) add Y) add inverse(X) -> inverse(X) add Y
% Current number of equations to process: 662
% Current number of ordered equations: 0
% Current number of rules: 432
% New rule produced :
% [558] ((inverse(a) add X) add c) add inverse(b) -> multiplicative_identity
% Current number of equations to process: 676
% Current number of ordered equations: 0
% Current number of rules: 433
% New rule produced :
% [559] ((a multiply X) add c) add inverse(b) -> c add inverse(b)
% Current number of equations to process: 677
% Current number of ordered equations: 0
% Current number of rules: 434
% New rule produced :
% [560] (c add inverse(a multiply X)) add inverse(b) -> multiplicative_identity
% Current number of equations to process: 683
% Current number of ordered equations: 0
% Current number of rules: 435
% New rule produced :
% [561] ((inverse(b) add X) add c) add inverse(a) -> multiplicative_identity
% Current number of equations to process: 686
% Current number of ordered equations: 0
% Current number of rules: 436
% New rule produced :
% [562]
% ((c add X) add inverse(b)) add inverse(a add X) -> multiplicative_identity
% Current number of equations to process: 685
% Current number of ordered equations: 0
% Current number of rules: 437
% New rule produced :
% [563] ((b multiply X) add c) add inverse(a) -> c add inverse(a)
% Current number of equations to process: 686
% Current number of ordered equations: 0
% Current number of rules: 438
% New rule produced :
% [564] (c add inverse(b multiply X)) add inverse(a) -> multiplicative_identity
% Current number of equations to process: 692
% Current number of ordered equations: 0
% Current number of rules: 439
% New rule produced :
% [565]
% ((c add X) add inverse(a)) add inverse(b add X) -> multiplicative_identity
% Current number of equations to process: 694
% Current number of ordered equations: 0
% Current number of rules: 440
% New rule produced :
% [566] (((a multiply X) multiply Y) add c) add inverse(b) -> c add inverse(b)
% Current number of equations to process: 693
% Current number of ordered equations: 0
% Current number of rules: 441
% New rule produced :
% [567] (((b multiply X) multiply Y) add c) add inverse(a) -> c add inverse(a)
% Current number of equations to process: 692
% Current number of ordered equations: 0
% Current number of rules: 442
% New rule produced :
% [568]
% ((d multiply X) add (inverse(b) multiply Y)) add X ->
% (inverse(b) multiply Y) add X
% Rule
% [145]
% ((d multiply a) add (inverse(b) multiply X)) add a ->
% (inverse(b) multiply X) add a collapsed.
% Current number of equations to process: 690
% Current number of ordered equations: 0
% Current number of rules: 442
% New rule produced :
% [569]
% ((d multiply X) add (inverse(a) multiply Y)) add X ->
% (inverse(a) multiply Y) add X
% Rule
% [148]
% ((d multiply b) add (inverse(a) multiply X)) add b ->
% (inverse(a) multiply X) add b collapsed.
% Current number of equations to process: 689
% Current number of ordered equations: 0
% Current number of rules: 442
% New rule produced :
% [570]
% ((a multiply inverse(c)) multiply X) multiply (d multiply a) ->
% (a multiply inverse(c)) multiply X
% Current number of equations to process: 688
% Current number of ordered equations: 0
% Current number of rules: 443
% New rule produced :
% [571]
% ((b multiply inverse(c)) multiply X) multiply (d multiply b) ->
% (b multiply inverse(c)) multiply X
% Current number of equations to process: 687
% Current number of ordered equations: 0
% Current number of rules: 444
% New rule produced :
% [572]
% (((X multiply Z) add Y) add X) add inverse(Z) -> (X add Y) add inverse(Z)
% Current number of equations to process: 686
% Current number of ordered equations: 0
% Current number of rules: 445
% New rule produced :
% [573]
% ((c multiply X) add (inverse(b) multiply X)) add inverse(a) ->
% inverse(a) add X
% Current number of equations to process: 685
% Current number of ordered equations: 0
% Current number of rules: 446
% New rule produced :
% [574]
% ((c multiply X) add (inverse(a) multiply X)) add inverse(b) ->
% inverse(b) add X
% Current number of equations to process: 684
% Current number of ordered equations: 0
% Current number of rules: 447
% New rule produced :
% [575] ((c add X) add inverse(b)) add (a add X) -> (c add X) add inverse(b)
% Current number of equations to process: 683
% Current number of ordered equations: 0
% Current number of rules: 448
% New rule produced :
% [576] ((c add X) add inverse(a)) add (b add X) -> (c add X) add inverse(a)
% Current number of equations to process: 682
% Current number of ordered equations: 0
% Current number of rules: 449
% New rule produced :
% [577]
% ((a multiply X) add c) add inverse((inverse(b) multiply X) multiply a) ->
% multiplicative_identity
% Current number of equations to process: 684
% Current number of ordered equations: 0
% Current number of rules: 450
% New rule produced :
% [578]
% ((b multiply X) add c) add inverse((inverse(a) multiply X) multiply b) ->
% multiplicative_identity
% Current number of equations to process: 683
% Current number of ordered equations: 0
% Current number of rules: 451
% New rule produced :
% [579]
% ((X multiply Y) add Z) add inverse((inverse(Z) multiply Y) multiply X) ->
% multiplicative_identity
% Current number of equations to process: 682
% Current number of ordered equations: 0
% Current number of rules: 452
% New rule produced :
% [580]
% ((c multiply X) add (inverse(b) multiply X)) add inverse(a multiply X) ->
% multiplicative_identity
% Current number of equations to process: 681
% Current number of ordered equations: 0
% Current number of rules: 453
% New rule produced :
% [581]
% ((c multiply X) add (inverse(a) multiply X)) add inverse(b multiply X) ->
% multiplicative_identity
% Current number of equations to process: 680
% Current number of ordered equations: 0
% Current number of rules: 454
% New rule produced :
% [582]
% ((X multiply Y) multiply inverse(Z)) add (X multiply Z) ->
% (X multiply Y) add (X multiply Z)
% Current number of equations to process: 679
% Current number of ordered equations: 0
% Current number of rules: 455
% New rule produced :
% [583]
% (((X multiply Y) multiply Z) add ((X multiply V_3) multiply Z)) add X -> X
% Current number of equations to process: 677
% Current number of ordered equations: 1
% Current number of rules: 456
% New rule produced :
% [584]
% (((X multiply Y) multiply Z) add ((X multiply Y) multiply V_3)) add X -> X
% Current number of equations to process: 677
% Current number of ordered equations: 0
% Current number of rules: 457
% New rule produced :
% [585]
% ((inverse(inverse(Z) multiply X) multiply Y) add X) add Z -> (X add Y) add Z
% Current number of equations to process: 672
% Current number of ordered equations: 0
% Current number of rules: 458
% New rule produced :
% [586]
% ((X add Y) add Z) add inverse((inverse(Z) multiply X) add Y) ->
% multiplicative_identity
% Current number of equations to process: 671
% Current number of ordered equations: 0
% Current number of rules: 459
% New rule produced :
% [587] ((d multiply a) add X) add ((a add X) add b) -> (a add X) add b
% Current number of equations to process: 670
% Current number of ordered equations: 0
% Current number of rules: 460
% New rule produced :
% [588] ((d multiply b) add X) add ((b add X) add a) -> (b add X) add a
% Current number of equations to process: 669
% Current number of ordered equations: 0
% Current number of rules: 461
% New rule produced :
% [589]
% (((a multiply X) add c) add inverse(b add X)) add inverse(a) ->
% multiplicative_identity
% Current number of equations to process: 668
% Current number of ordered equations: 0
% Current number of rules: 462
% New rule produced :
% [590]
% (((b multiply X) add c) add inverse(a add X)) add inverse(b) ->
% multiplicative_identity
% Current number of equations to process: 667
% Current number of ordered equations: 0
% Current number of rules: 463
% New rule produced :
% [591]
% ((X add Y) add inverse(Z)) add inverse((X multiply Z) add Y) ->
% multiplicative_identity
% Current number of equations to process: 666
% Current number of ordered equations: 0
% Current number of rules: 464
% New rule produced :
% [592] (d multiply c) add (b multiply inverse(c)) -> d multiply b
% Current number of equations to process: 670
% Current number of ordered equations: 0
% Current number of rules: 465
% New rule produced :
% [593]
% (inverse(X multiply Y) multiply Y) multiply inverse(inverse(X) multiply Y) ->
% additive_identity
% Current number of equations to process: 674
% Current number of ordered equations: 0
% Current number of rules: 466
% New rule produced :
% [594]
% (c multiply inverse(d multiply a)) add (a multiply inverse(d)) ->
% a multiply inverse(d)
% Current number of equations to process: 682
% Current number of ordered equations: 0
% Current number of rules: 467
% New rule produced :
% [595]
% (c multiply inverse(d multiply b)) add (b multiply inverse(d)) ->
% b multiply inverse(d)
% Current number of equations to process: 681
% Current number of ordered equations: 0
% Current number of rules: 468
% New rule produced :
% [596]
% (inverse(inverse(Y) multiply X) add inverse(X)) add Y -> inverse(X) add Y
% Current number of equations to process: 683
% Current number of ordered equations: 0
% Current number of rules: 469
% New rule produced :
% [597]
% (inverse(X multiply Y) add inverse(X)) add inverse(Y) ->
% inverse(X) add inverse(Y)
% Current number of equations to process: 682
% Current number of ordered equations: 0
% Current number of rules: 470
% New rule produced : [598] (d multiply X) add (c multiply X) -> X
% Current number of equations to process: 682
% Current number of ordered equations: 0
% Current number of rules: 471
% New rule produced :
% [599]
% (inverse(inverse(X) multiply Y) multiply Y) multiply inverse(X multiply Y) ->
% additive_identity
% Current number of equations to process: 700
% Current number of ordered equations: 0
% Current number of rules: 472
% New rule produced :
% [600]
% (d multiply a) add (c multiply inverse(a multiply inverse(d))) ->
% d multiply a
% Current number of equations to process: 699
% Current number of ordered equations: 0
% Current number of rules: 473
% New rule produced :
% [601]
% (d multiply b) add (c multiply inverse(b multiply inverse(d))) ->
% d multiply b
% Current number of equations to process: 698
% Current number of ordered equations: 0
% Current number of rules: 474
% New rule produced :
% [602] (inverse(inverse(X) multiply inverse(Y)) add Y) add X -> X add Y
% Current number of equations to process: 699
% Current number of ordered equations: 0
% Current number of rules: 475
% New rule produced :
% [603]
% (inverse(inverse(Y) multiply X) add Y) add inverse(X) -> inverse(X) add Y
% Current number of equations to process: 699
% Current number of ordered equations: 0
% Current number of rules: 476
% New rule produced :
% [604] (inverse(c) multiply inverse(b)) add a -> c add inverse(b)
% Current number of equations to process: 701
% Current number of ordered equations: 0
% Current number of rules: 477
% New rule produced :
% [605]
% (a multiply X) multiply inverse((inverse(b) multiply X) add c) ->
% additive_identity
% Current number of equations to process: 701
% Current number of ordered equations: 0
% Current number of rules: 478
% New rule produced :
% [606]
% ((inverse(b) multiply X) add c) add inverse((a multiply X) add c) ->
% multiplicative_identity
% Current number of equations to process: 703
% Current number of ordered equations: 0
% Current number of rules: 479
% New rule produced :
% [607]
% (((a multiply X) multiply Y) multiply inverse(b)) add c ->
% ((a multiply X) multiply Y) add c
% Current number of equations to process: 702
% Current number of ordered equations: 0
% Current number of rules: 480
% New rule produced :
% [608] (inverse(c) multiply inverse(a)) add b -> c add inverse(a)
% Current number of equations to process: 704
% Current number of ordered equations: 0
% Current number of rules: 481
% New rule produced :
% [609]
% (b multiply X) multiply inverse((inverse(a) multiply X) add c) ->
% additive_identity
% Current number of equations to process: 704
% Current number of ordered equations: 0
% Current number of rules: 482
% New rule produced :
% [610]
% ((d multiply a) multiply X) multiply inverse((a multiply X) add b) ->
% additive_identity
% Current number of equations to process: 724
% Current number of ordered equations: 0
% Current number of rules: 483
% New rule produced :
% [611]
% ((a multiply X) add b) add inverse((d multiply a) multiply X) ->
% multiplicative_identity
% Current number of equations to process: 723
% Current number of ordered equations: 0
% Current number of rules: 484
% New rule produced :
% [612]
% ((d multiply b) multiply X) multiply inverse((b multiply X) add a) ->
% additive_identity
% Current number of equations to process: 722
% Current number of ordered equations: 0
% Current number of rules: 485
% New rule produced :
% [613]
% ((b multiply X) add a) add inverse((d multiply b) multiply X) ->
% multiplicative_identity
% Current number of equations to process: 721
% Current number of ordered equations: 0
% Current number of rules: 486
% New rule produced :
% [614]
% ((inverse(a) multiply X) add c) add inverse((b multiply X) add c) ->
% multiplicative_identity
% Current number of equations to process: 720
% Current number of ordered equations: 0
% Current number of rules: 487
% New rule produced :
% [615]
% (((b multiply X) multiply Y) multiply inverse(a)) add c ->
% ((b multiply X) multiply Y) add c
% Current number of equations to process: 719
% Current number of ordered equations: 0
% Current number of rules: 488
% New rule produced :
% [616]
% ((d multiply a) multiply X) add ((a multiply X) add b) ->
% (a multiply X) add b
% Current number of equations to process: 718
% Current number of ordered equations: 0
% Current number of rules: 489
% New rule produced :
% [617]
% ((d multiply b) multiply X) add ((b multiply X) add a) ->
% (b multiply X) add a
% Current number of equations to process: 717
% Current number of ordered equations: 0
% Current number of rules: 490
% New rule produced : [618] (inverse(a) add X) add d -> d add X
% Rule [268] ((d multiply X) add inverse(a)) add d -> d collapsed.
% Current number of equations to process: 719
% Current number of ordered equations: 0
% Current number of rules: 490
% New rule produced :
% [619]
% ((inverse(a) multiply X) add (X multiply Y)) add d -> (X multiply Y) add d
% Current number of equations to process: 718
% Current number of ordered equations: 0
% Current number of rules: 491
% New rule produced :
% [620] ((inverse(a) multiply X) add (inverse(a) multiply Y)) add d -> d
% Current number of equations to process: 718
% Current number of ordered equations: 0
% Current number of rules: 492
% New rule produced :
% [621] (inverse(inverse(a) multiply X) multiply X) add d -> d add X
% Current number of equations to process: 718
% Current number of ordered equations: 0
% Current number of rules: 493
% New rule produced : [622] (a add X) add d -> multiplicative_identity
% Current number of equations to process: 719
% Current number of ordered equations: 0
% Current number of rules: 494
% New rule produced :
% [623] (d add X) add inverse(inverse(a) add X) -> multiplicative_identity
% Current number of equations to process: 718
% Current number of ordered equations: 0
% Current number of rules: 495
% New rule produced : [624] ((a multiply X) add Y) add d -> (X add Y) add d
% Current number of equations to process: 718
% Current number of ordered equations: 0
% Current number of rules: 496
% New rule produced : [625] (b add X) add d -> (c add X) add d
% Current number of equations to process: 718
% Current number of ordered equations: 0
% Current number of rules: 497
% New rule produced :
% [626]
% inverse(inverse(d multiply a) multiply inverse(b)) add inverse(a) ->
% multiplicative_identity
% Current number of equations to process: 744
% Current number of ordered equations: 0
% Current number of rules: 498
% New rule produced :
% [627]
% (d multiply a) add ((inverse(b) multiply inverse(a)) add X) ->
% inverse(b) add X
% Current number of equations to process: 751
% Current number of ordered equations: 0
% Current number of rules: 499
% New rule produced :
% [628]
% (inverse(d multiply a) multiply inverse(b)) multiply inverse(a) ->
% inverse(d multiply a) multiply inverse(b)
% Current number of equations to process: 758
% Current number of ordered equations: 0
% Current number of rules: 500
% New rule produced :
% [629]
% inverse(inverse(d multiply b) multiply inverse(a)) add inverse(b) ->
% multiplicative_identity
% Current number of equations to process: 780
% Current number of ordered equations: 0
% Current number of rules: 501
% New rule produced :
% [630]
% (d multiply b) add ((inverse(b) multiply inverse(a)) add X) ->
% inverse(a) add X
% Current number of equations to process: 787
% Current number of ordered equations: 0
% Current number of rules: 502
% New rule produced : [631] a add inverse(d) -> a
% Current number of equations to process: 799
% Current number of ordered equations: 1
% Current number of rules: 503
% New rule produced : [632] b add inverse(d) -> b
% Current number of equations to process: 799
% Current number of ordered equations: 0
% Current number of rules: 504
% New rule produced :
% [633]
% inverse(inverse(X) multiply Y) add inverse(Y) ->
% inverse(inverse(X) multiply Y)
% Rule
% [596]
% (inverse(inverse(Y) multiply X) add inverse(X)) add Y -> inverse(X) add Y
% collapsed.
% Current number of equations to process: 804
% Current number of ordered equations: 0
% Current number of rules: 504
% Rule [391]
% (inverse(inverse(X) multiply Y) multiply inverse(Y)) add X ->
% inverse(inverse(X) multiply Y) add X is composed into [391]
% (inverse(inverse(X) multiply Y) multiply
% inverse(Y)) add X
% ->
% inverse(Y) add X
% New rule produced :
% [634] inverse(inverse(Y) multiply X) add Y -> inverse(X) add Y
% Rule [602] (inverse(inverse(X) multiply inverse(Y)) add Y) add X -> X add Y
% collapsed.
% Rule
% [603]
% (inverse(inverse(Y) multiply X) add Y) add inverse(X) -> inverse(X) add Y
% collapsed.
% Current number of equations to process: 803
% Current number of ordered equations: 0
% Current number of rules: 503
% Rule [344]
% b multiply inverse(b multiply inverse(c)) ->
% c multiply inverse(b multiply inverse(c)) is composed into [344]
% b multiply
% inverse(
% b multiply
% inverse(c))
% -> c
% Rule [326]
% a multiply inverse(a multiply inverse(c)) ->
% c multiply inverse(a multiply inverse(c)) is composed into [326]
% a multiply
% inverse(
% a multiply
% inverse(c))
% -> c
% New rule produced : [635] inverse(inverse(X) multiply Y) multiply X -> X
% Current number of equations to process: 806
% Current number of ordered equations: 0
% Current number of rules: 504
% New rule produced :
% [636]
% inverse(inverse(inverse(X) add Y) multiply Z) add X ->
% multiplicative_identity
% Current number of equations to process: 812
% Current number of ordered equations: 0
% Current number of rules: 505
% New rule produced : [637] (((a multiply X) multiply Y) add c) add a -> a
% Current number of equations to process: 816
% Current number of ordered equations: 0
% Current number of rules: 506
% New rule produced : [638] (((b multiply X) multiply Y) add c) add b -> b
% Current number of equations to process: 818
% Current number of ordered equations: 0
% Current number of rules: 507
% New rule produced :
% [639] (((a multiply X) add (a multiply Y)) add c) add a -> a
% Current number of equations to process: 817
% Current number of ordered equations: 0
% Current number of rules: 508
% New rule produced :
% [640] (((b multiply X) add (b multiply Y)) add c) add b -> b
% Current number of equations to process: 816
% Current number of ordered equations: 0
% Current number of rules: 509
% New rule produced : [641] inverse(inverse(Y) multiply X) -> inverse(X) add Y
% Rule
% [80]
% (X multiply Y) multiply inverse(inverse(Y) multiply X) ->
% inverse(inverse(Y) multiply X) multiply X collapsed.
% Rule
% [172]
% (inverse(inverse(X) multiply Y) multiply Y) add (X multiply Y) ->
% X multiply Y collapsed.
% Rule [287] (inverse(inverse(X) multiply Y) multiply Y) add X -> X collapsed.
% Rule
% [316]
% (d multiply inverse(inverse(b) multiply inverse(a))) add inverse(b) -> d
% collapsed.
% Rule
% [317]
% (d multiply inverse(inverse(b) multiply inverse(a))) add inverse(a) -> d
% collapsed.
% Rule [326] a multiply inverse(a multiply inverse(c)) -> c collapsed.
% Rule [344] b multiply inverse(b multiply inverse(c)) -> c collapsed.
% Rule
% [391]
% (inverse(inverse(X) multiply Y) multiply inverse(Y)) add X ->
% inverse(Y) add X collapsed.
% Rule [430] d add inverse(inverse(b) multiply X) -> multiplicative_identity
% collapsed.
% Rule [434] d add inverse(inverse(a) multiply X) -> multiplicative_identity
% collapsed.
% Rule
% [441] (d multiply X) add (inverse(inverse(b) multiply Y) multiply X) -> X
% collapsed.
% Rule
% [443] (d multiply X) add (inverse(inverse(a) multiply Y) multiply X) -> X
% collapsed.
% Rule
% [489] (d add X) add inverse(inverse(b) multiply Y) -> multiplicative_identity
% collapsed.
% Rule
% [490] (d add X) add inverse(inverse(a) multiply Y) -> multiplicative_identity
% collapsed.
% Rule
% [501]
% ((d multiply a) add X) add inverse(a multiply inverse(c)) ->
% multiplicative_identity collapsed.
% Rule
% [502]
% ((d multiply b) add X) add inverse(b multiply inverse(c)) ->
% multiplicative_identity collapsed.
% Rule
% [503]
% ((inverse(inverse(X) multiply Y) add Z) add Y) add X ->
% multiplicative_identity collapsed.
% Rule
% [523]
% ((d multiply X) add inverse(b)) add inverse(inverse(a) multiply X) ->
% multiplicative_identity collapsed.
% Rule
% [524]
% ((d multiply X) add inverse(a)) add inverse(inverse(b) multiply X) ->
% multiplicative_identity collapsed.
% Rule
% [535]
% (inverse(inverse(X) multiply Y) multiply Y) multiply X ->
% inverse(inverse(X) multiply Y) multiply Y collapsed.
% Rule [549] d add inverse(a multiply inverse(c)) -> multiplicative_identity
% collapsed.
% Rule [550] d add inverse(b multiply inverse(c)) -> multiplicative_identity
% collapsed.
% Rule
% [551]
% inverse(inverse(X multiply Y) multiply Y) add inverse(X) ->
% multiplicative_identity collapsed.
% Rule
% [552]
% inverse(inverse(inverse(Y) multiply X) multiply X) add Y ->
% multiplicative_identity collapsed.
% Rule
% [585]
% ((inverse(inverse(Z) multiply X) multiply Y) add X) add Z -> (X add Y) add Z
% collapsed.
% Rule
% [593]
% (inverse(X multiply Y) multiply Y) multiply inverse(inverse(X) multiply Y) ->
% additive_identity collapsed.
% Rule
% [599]
% (inverse(inverse(X) multiply Y) multiply Y) multiply inverse(X multiply Y) ->
% additive_identity collapsed.
% Rule
% [600]
% (d multiply a) add (c multiply inverse(a multiply inverse(d))) ->
% d multiply a collapsed.
% Rule
% [601]
% (d multiply b) add (c multiply inverse(b multiply inverse(d))) ->
% d multiply b collapsed.
% Rule [621] (inverse(inverse(a) multiply X) multiply X) add d -> d add X
% collapsed.
% Rule
% [626]
% inverse(inverse(d multiply a) multiply inverse(b)) add inverse(a) ->
% multiplicative_identity collapsed.
% Rule
% [629]
% inverse(inverse(d multiply b) multiply inverse(a)) add inverse(b) ->
% multiplicative_identity collapsed.
% Rule
% [633]
% inverse(inverse(X) multiply Y) add inverse(Y) ->
% inverse(inverse(X) multiply Y) collapsed.
% Rule [634] inverse(inverse(Y) multiply X) add Y -> inverse(X) add Y
% collapsed.
% Rule [635] inverse(inverse(X) multiply Y) multiply X -> X collapsed.
% Rule
% [636]
% inverse(inverse(inverse(X) add Y) multiply Z) add X ->
% multiplicative_identity collapsed.
% Current number of equations to process: 840
% Current number of ordered equations: 0
% Current number of rules: 474
% New rule produced : [642] (c add inverse(b)) add d -> multiplicative_identity
% Current number of equations to process: 839
% Current number of ordered equations: 0
% Current number of rules: 475
% New rule produced : [643] (c add inverse(X)) add d -> multiplicative_identity
% Rule [642] (c add inverse(b)) add d -> multiplicative_identity collapsed.
% Current number of equations to process: 838
% Current number of ordered equations: 0
% Current number of rules: 475
% New rule produced :
% [644] (d add X) add (b add inverse(Y)) -> multiplicative_identity
% Current number of equations to process: 837
% Current number of ordered equations: 0
% Current number of rules: 476
% New rule produced :
% [645] (d add X) add (a add inverse(Y)) -> multiplicative_identity
% Current number of equations to process: 836
% Current number of ordered equations: 0
% Current number of rules: 477
% New rule produced :
% [646] ((inverse(X) add Y) add inverse(Z)) add X -> multiplicative_identity
% Current number of equations to process: 835
% Current number of ordered equations: 0
% Current number of rules: 478
% New rule produced :
% [647] (d multiply X) add ((b multiply X) add (inverse(Y) multiply X)) -> X
% Current number of equations to process: 834
% Current number of ordered equations: 0
% Current number of rules: 479
% New rule produced :
% [648] (d multiply X) add ((a multiply X) add (inverse(Y) multiply X)) -> X
% Current number of equations to process: 833
% Current number of ordered equations: 0
% Current number of rules: 480
% New rule produced :
% [649]
% ((d multiply a) add X) add (c add inverse(a)) -> multiplicative_identity
% Current number of equations to process: 832
% Current number of ordered equations: 0
% Current number of rules: 481
% New rule produced :
% [650]
% ((d multiply b) add X) add (c add inverse(b)) -> multiplicative_identity
% Current number of equations to process: 831
% Current number of ordered equations: 0
% Current number of rules: 482
% New rule produced :
% [651] (((inverse(Y) add X) add Z) add Y) add X -> multiplicative_identity
% Current number of equations to process: 830
% Current number of ordered equations: 0
% Current number of rules: 483
% Rule [372]
% (c multiply inverse(d multiply b)) add inverse(b) ->
% inverse(d multiply b) add inverse(b) is composed into [372]
% (c multiply
% inverse(d multiply b)) add
% inverse(b) ->
% inverse(d multiply b)
% Rule [364]
% (c multiply inverse(d multiply a)) add inverse(a) ->
% inverse(d multiply a) add inverse(a) is composed into [364]
% (c multiply
% inverse(d multiply a)) add
% inverse(a) ->
% inverse(d multiply a)
% New rule produced :
% [652] inverse(X multiply Y) add inverse(Y) -> inverse(X multiply Y)
% Rule
% [597]
% (inverse(X multiply Y) add inverse(X)) add inverse(Y) ->
% inverse(X) add inverse(Y) collapsed.
% Current number of equations to process: 835
% Current number of ordered equations: 0
% Current number of rules: 483
% New rule produced : [653] inverse(X multiply Y) -> inverse(X) add inverse(Y)
% Rule
% [79]
% (inverse(X) multiply Y) multiply inverse(X multiply Y) ->
% inverse(X multiply Y) multiply Y collapsed.
% Rule [111] inverse(X multiply Y) add X -> multiplicative_identity collapsed.
% Rule [112] (inverse(X multiply Y) multiply X) add Y -> X add Y collapsed.
% Rule
% [127] a multiply inverse(d multiply a) -> c multiply inverse(d multiply a)
% collapsed.
% Rule
% [133] b multiply inverse(d multiply b) -> c multiply inverse(d multiply b)
% collapsed.
% Rule [162] (X add Y) add inverse(X multiply Z) -> multiplicative_identity
% collapsed.
% Rule
% [170]
% (inverse(X multiply Y) multiply Y) add (inverse(X) multiply Y) ->
% inverse(X) multiply Y collapsed.
% Rule
% [185]
% (inverse(b) multiply inverse(a)) multiply inverse(d multiply a) ->
% inverse(d multiply a) multiply inverse(b) collapsed.
% Rule
% [186]
% (inverse(b) multiply inverse(a)) multiply inverse(d multiply b) ->
% inverse(d multiply b) multiply inverse(a) collapsed.
% Rule
% [211]
% (inverse(X multiply Y) multiply Y) multiply (inverse(X) multiply Y) ->
% inverse(X multiply Y) multiply Y collapsed.
% Rule [215] (inverse(Y multiply Z) multiply X) add (X multiply Z) -> X
% collapsed.
% Rule
% [228]
% (inverse(b) multiply X) multiply inverse(d multiply X) -> additive_identity
% collapsed.
% Rule
% [229]
% (inverse(a) multiply X) multiply inverse(d multiply X) -> additive_identity
% collapsed.
% Rule [240] (c multiply X) multiply inverse(a multiply X) -> additive_identity
% collapsed.
% Rule [241] (c multiply X) multiply inverse(b multiply X) -> additive_identity
% collapsed.
% Rule
% [251]
% inverse(d multiply a) multiply inverse(a) -> d multiply inverse(d multiply a)
% collapsed.
% Rule
% [253]
% inverse(d multiply b) multiply inverse(b) -> d multiply inverse(d multiply b)
% collapsed.
% Rule
% [254]
% ((X multiply Y) multiply Z) multiply inverse(X multiply Z) ->
% additive_identity collapsed.
% Rule
% [301]
% ((inverse(X multiply Z) multiply Y) multiply X) add Z -> (X multiply Y) add Z
% collapsed.
% Rule [307] inverse(d multiply a) add inverse(b) -> multiplicative_identity
% collapsed.
% Rule [308] inverse(d multiply b) add inverse(a) -> multiplicative_identity
% collapsed.
% Rule [309] (a multiply inverse(b multiply X)) add c -> a collapsed.
% Rule [310] (b multiply inverse(a multiply X)) add c -> b collapsed.
% Rule
% [312] (c multiply inverse(d multiply a)) add inverse(b) -> c add inverse(b)
% collapsed.
% Rule
% [313] (inverse(d multiply a) multiply inverse(b)) add a -> c add inverse(b)
% collapsed.
% Rule
% [314] (c multiply inverse(d multiply b)) add inverse(a) -> c add inverse(a)
% collapsed.
% Rule
% [315] (inverse(d multiply b) multiply inverse(a)) add b -> c add inverse(a)
% collapsed.
% Rule [336] (a multiply inverse(b add inverse(d multiply a))) add c -> a
% collapsed.
% Rule [337] (a multiply inverse((d multiply a) multiply c)) add c -> a
% collapsed.
% Rule [352] (b multiply inverse(a add inverse(d multiply b))) add c -> b
% collapsed.
% Rule [353] (b multiply inverse((d multiply b) multiply c)) add c -> b
% collapsed.
% Rule
% [364]
% (c multiply inverse(d multiply a)) add inverse(a) -> inverse(d multiply a)
% collapsed.
% Rule
% [372]
% (c multiply inverse(d multiply b)) add inverse(b) -> inverse(d multiply b)
% collapsed.
% Rule
% [409]
% (c multiply inverse((d multiply a) multiply c)) add inverse(b) ->
% c add inverse(b) collapsed.
% Rule
% [413]
% (c multiply inverse((d multiply b) multiply c)) add inverse(a) ->
% c add inverse(a) collapsed.
% Rule
% [438] (inverse(d multiply a) multiply X) add (inverse(b) multiply X) -> X
% collapsed.
% Rule
% [439] (inverse(d multiply b) multiply X) add (inverse(a) multiply X) -> X
% collapsed.
% Rule
% [444] inverse((X multiply Y) multiply Z) add X -> multiplicative_identity
% collapsed.
% Rule [457] (inverse(X multiply Y) multiply Y) add inverse(X) -> inverse(X)
% collapsed.
% Rule [459] a add inverse(c multiply X) -> multiplicative_identity collapsed.
% Rule [463] b add inverse(c multiply X) -> multiplicative_identity collapsed.
% Rule [470] (a multiply X) add (inverse(c multiply Y) multiply X) -> X
% collapsed.
% Rule [473] (b multiply X) add (inverse(c multiply Y) multiply X) -> X
% collapsed.
% Rule
% [480] (inverse(b) add X) add inverse(d multiply a) -> multiplicative_identity
% collapsed.
% Rule
% [481] (inverse(a) add X) add inverse(d multiply b) -> multiplicative_identity
% collapsed.
% Rule
% [482] (c add inverse(b)) add inverse(a multiply X) -> multiplicative_identity
% collapsed.
% Rule
% [483] (c add inverse(a)) add inverse(b multiply X) -> multiplicative_identity
% collapsed.
% Rule
% [484]
% (a multiply X) add inverse((c multiply X) multiply Y) ->
% multiplicative_identity collapsed.
% Rule
% [485]
% (b multiply X) add inverse((c multiply X) multiply Y) ->
% multiplicative_identity collapsed.
% Rule [487] (a add X) add inverse(c multiply Y) -> multiplicative_identity
% collapsed.
% Rule [488] (b add X) add inverse(c multiply Y) -> multiplicative_identity
% collapsed.
% Rule
% [491]
% (X add Y) add inverse((X multiply Z) multiply V_3) -> multiplicative_identity
% collapsed.
% Rule
% [492]
% inverse(((X multiply Y) multiply Z) multiply V_3) add X ->
% multiplicative_identity collapsed.
% Rule
% [499]
% (d multiply X) add inverse((inverse(a) multiply X) multiply Y) ->
% multiplicative_identity collapsed.
% Rule
% [500]
% (d multiply X) add inverse((inverse(b) multiply X) multiply Y) ->
% multiplicative_identity collapsed.
% Rule
% [506]
% (inverse(X multiply Y) multiply Y) multiply inverse(X) ->
% inverse(X multiply Y) multiply Y collapsed.
% Rule
% [518] ((inverse(d multiply a) add X) add a) add b -> multiplicative_identity
% collapsed.
% Rule
% [520] ((inverse(d multiply b) add X) add b) add a -> multiplicative_identity
% collapsed.
% Rule
% [522]
% ((inverse(X multiply Y) add Z) add Y) add inverse(X) ->
% multiplicative_identity collapsed.
% Rule
% [527]
% ((a multiply X) add c) add inverse((d multiply a) multiply X) ->
% multiplicative_identity collapsed.
% Rule
% [528]
% ((d multiply a) add (c multiply X)) add inverse(a multiply X) ->
% multiplicative_identity collapsed.
% Rule
% [529]
% ((b multiply X) add c) add inverse((d multiply b) multiply X) ->
% multiplicative_identity collapsed.
% Rule
% [530]
% ((d multiply b) add (c multiply X)) add inverse(b multiply X) ->
% multiplicative_identity collapsed.
% Rule
% [538]
% (inverse((Y multiply Z) multiply V_3) multiply X) add (X multiply Y) -> X
% collapsed.
% Rule
% [540]
% (X multiply Y) add inverse(((Y multiply Z) multiply X) multiply V_3) ->
% multiplicative_identity collapsed.
% Rule
% [542] ((inverse(d multiply a) multiply X) add a) add b -> (a add X) add b
% collapsed.
% Rule
% [544] ((inverse(d multiply b) multiply X) add b) add a -> (b add X) add a
% collapsed.
% Rule
% [548] (X multiply Y) add inverse(Y multiply Z) -> inverse(Y multiply Z) add X
% collapsed.
% Rule
% [560] (c add inverse(a multiply X)) add inverse(b) -> multiplicative_identity
% collapsed.
% Rule
% [564] (c add inverse(b multiply X)) add inverse(a) -> multiplicative_identity
% collapsed.
% Rule
% [577]
% ((a multiply X) add c) add inverse((inverse(b) multiply X) multiply a) ->
% multiplicative_identity collapsed.
% Rule
% [578]
% ((b multiply X) add c) add inverse((inverse(a) multiply X) multiply b) ->
% multiplicative_identity collapsed.
% Rule
% [579]
% ((X multiply Y) add Z) add inverse((inverse(Z) multiply Y) multiply X) ->
% multiplicative_identity collapsed.
% Rule
% [580]
% ((c multiply X) add (inverse(b) multiply X)) add inverse(a multiply X) ->
% multiplicative_identity collapsed.
% Rule
% [581]
% ((c multiply X) add (inverse(a) multiply X)) add inverse(b multiply X) ->
% multiplicative_identity collapsed.
% Rule
% [594]
% (c multiply inverse(d multiply a)) add (a multiply inverse(d)) ->
% a multiply inverse(d) collapsed.
% Rule
% [595]
% (c multiply inverse(d multiply b)) add (b multiply inverse(d)) ->
% b multiply inverse(d) collapsed.
% Rule
% [611]
% ((a multiply X) add b) add inverse((d multiply a) multiply X) ->
% multiplicative_identity collapsed.
% Rule
% [613]
% ((b multiply X) add a) add inverse((d multiply b) multiply X) ->
% multiplicative_identity collapsed.
% Rule
% [628]
% (inverse(d multiply a) multiply inverse(b)) multiply inverse(a) ->
% inverse(d multiply a) multiply inverse(b) collapsed.
% Rule [641] inverse(inverse(Y) multiply X) -> inverse(X) add Y collapsed.
% Rule [652] inverse(X multiply Y) add inverse(Y) -> inverse(X multiply Y)
% collapsed.
% Current number of equations to process: 883
% Current number of ordered equations: 0
% Current number of rules: 402
% New rule produced :
% [654] (inverse(c) add inverse(X)) add a -> multiplicative_identity
% Current number of equations to process: 882
% Current number of ordered equations: 0
% Current number of rules: 403
% New rule produced :
% [655] (inverse(c) add inverse(X)) add b -> multiplicative_identity
% Current number of equations to process: 881
% Current number of ordered equations: 0
% Current number of rules: 404
% New rule produced : [656] inverse(c) add inverse(a) -> inverse(c)
% Current number of equations to process: 882
% Current number of ordered equations: 0
% Current number of rules: 405
% New rule produced : [657] inverse(c) add inverse(b) -> inverse(c)
% Current number of equations to process: 883
% Current number of ordered equations: 0
% Current number of rules: 406
% New rule produced :
% [658] (inverse(X) add inverse(Z)) add (X add Y) -> multiplicative_identity
% Current number of equations to process: 882
% Current number of ordered equations: 0
% Current number of rules: 407
% New rule produced :
% [659] (c multiply X) multiply inverse(a) -> additive_identity
% Current number of equations to process: 881
% Current number of ordered equations: 0
% Current number of rules: 408
% New rule produced :
% [660] (c multiply X) multiply inverse(b) -> additive_identity
% Current number of equations to process: 880
% Current number of ordered equations: 0
% Current number of rules: 409
% New rule produced :
% [661] (a add X) add (inverse(c) add inverse(Y)) -> multiplicative_identity
% Current number of equations to process: 879
% Current number of ordered equations: 0
% Current number of rules: 410
% New rule produced :
% [662] (b add X) add (inverse(c) add inverse(Y)) -> multiplicative_identity
% Current number of equations to process: 878
% Current number of ordered equations: 0
% Current number of rules: 411
% New rule produced :
% [663] (c multiply inverse(d)) add inverse(a) -> inverse(d) add inverse(a)
% Current number of equations to process: 877
% Current number of ordered equations: 0
% Current number of rules: 412
% New rule produced :
% [664] (c multiply inverse(d)) add inverse(b) -> inverse(d) add inverse(b)
% Current number of equations to process: 876
% Current number of ordered equations: 0
% Current number of rules: 413
% New rule produced : [665] a multiply inverse(d) -> c multiply inverse(d)
% Rule
% [415] ((a multiply inverse(d)) multiply c) add inverse(b) -> c add inverse(b)
% collapsed.
% Current number of equations to process: 876
% Current number of ordered equations: 0
% Current number of rules: 413
% New rule produced : [666] b multiply inverse(d) -> c multiply inverse(d)
% Rule
% [416] ((b multiply inverse(d)) multiply c) add inverse(a) -> c add inverse(a)
% collapsed.
% Current number of equations to process: 876
% Current number of ordered equations: 0
% Current number of rules: 413
% New rule produced :
% [667] (inverse(b) multiply X) multiply inverse(d) -> additive_identity
% Current number of equations to process: 874
% Current number of ordered equations: 1
% Current number of rules: 414
% New rule produced :
% [668] (inverse(a) multiply X) multiply inverse(d) -> additive_identity
% Current number of equations to process: 874
% Current number of ordered equations: 0
% Current number of rules: 415
% New rule produced :
% [669]
% (inverse(d) add inverse(a)) add (inverse(b) add X) -> multiplicative_identity
% Current number of equations to process: 873
% Current number of ordered equations: 0
% Current number of rules: 416
% New rule produced :
% [670]
% (inverse(d) add inverse(b)) add (inverse(a) add X) -> multiplicative_identity
% Current number of equations to process: 872
% Current number of ordered equations: 0
% Current number of rules: 417
% New rule produced :
% [671]
% (c add inverse(b)) add (inverse(a) add inverse(X)) -> multiplicative_identity
% Current number of equations to process: 871
% Current number of ordered equations: 0
% Current number of rules: 418
% New rule produced :
% [672]
% (c add inverse(a)) add (inverse(b) add inverse(X)) -> multiplicative_identity
% Current number of equations to process: 870
% Current number of ordered equations: 0
% Current number of rules: 419
% Rule [664]
% (c multiply inverse(d)) add inverse(b) -> inverse(d) add inverse(b) is composed into
% [664] (c multiply inverse(d)) add inverse(b) -> c add inverse(b)
% New rule produced : [673] inverse(d) add inverse(b) -> c add inverse(b)
% Rule
% [670]
% (inverse(d) add inverse(b)) add (inverse(a) add X) -> multiplicative_identity
% collapsed.
% Current number of equations to process: 870
% Current number of ordered equations: 0
% Current number of rules: 419
% New rule produced :
% [674] (c add inverse(b)) add (inverse(a) add X) -> multiplicative_identity
% Rule
% [671]
% (c add inverse(b)) add (inverse(a) add inverse(X)) -> multiplicative_identity
% collapsed.
% Current number of equations to process: 869
% Current number of ordered equations: 0
% Current number of rules: 419
% Rule [663]
% (c multiply inverse(d)) add inverse(a) -> inverse(d) add inverse(a) is composed into
% [663] (c multiply inverse(d)) add inverse(a) -> c add inverse(a)
% New rule produced : [675] inverse(d) add inverse(a) -> c add inverse(a)
% Rule
% [669]
% (inverse(d) add inverse(a)) add (inverse(b) add X) -> multiplicative_identity
% collapsed.
% Current number of equations to process: 869
% Current number of ordered equations: 0
% Current number of rules: 419
% New rule produced :
% [676] (c add inverse(a)) add (inverse(b) add X) -> multiplicative_identity
% Rule
% [672]
% (c add inverse(a)) add (inverse(b) add inverse(X)) -> multiplicative_identity
% collapsed.
% Current number of equations to process: 868
% Current number of ordered equations: 0
% Current number of rules: 419
% New rule produced :
% [677]
% ((d multiply X) add inverse(b)) add (a add inverse(X)) ->
% multiplicative_identity
% Current number of equations to process: 867
% Current number of ordered equations: 0
% Current number of rules: 420
% New rule produced :
% [678]
% ((d multiply X) add inverse(a)) add (b add inverse(X)) ->
% multiplicative_identity
% Current number of equations to process: 866
% Current number of ordered equations: 0
% Current number of rules: 421
% New rule produced :
% [679]
% (a multiply X) add ((inverse(c) multiply X) add (inverse(Y) multiply X)) -> X
% Current number of equations to process: 865
% Current number of ordered equations: 0
% Current number of rules: 422
% New rule produced :
% [680]
% (b multiply X) add ((inverse(c) multiply X) add (inverse(Y) multiply X)) -> X
% Current number of equations to process: 864
% Current number of ordered equations: 0
% Current number of rules: 423
% New rule produced :
% [681] (((c add inverse(a)) add X) add a) add b -> multiplicative_identity
% Current number of equations to process: 863
% Current number of ordered equations: 0
% Current number of rules: 424
% New rule produced :
% [682] (((c add inverse(b)) add X) add b) add a -> multiplicative_identity
% Current number of equations to process: 862
% Current number of ordered equations: 0
% Current number of rules: 425
% New rule produced :
% [683] (inverse(a) add inverse(X)) add c -> (c add inverse(X)) add inverse(a)
% Current number of equations to process: 872
% Current number of ordered equations: 0
% Current number of rules: 426
% New rule produced :
% [684] (inverse(b) add inverse(X)) add c -> (c add inverse(X)) add inverse(b)
% Current number of equations to process: 873
% Current number of ordered equations: 0
% Current number of rules: 427
% New rule produced :
% [685]
% (inverse(b) multiply inverse(a)) add inverse(c add inverse(b)) -> inverse(a)
% Current number of equations to process: 870
% Current number of ordered equations: 0
% Current number of rules: 428
% New rule produced :
% [686]
% (inverse(b) multiply inverse(a)) add inverse(c add inverse(a)) -> inverse(b)
% Current number of equations to process: 869
% Current number of ordered equations: 0
% Current number of rules: 429
% New rule produced :
% [687]
% (inverse(b) multiply X) add ((inverse(d) multiply X) add (inverse(a) multiply X))
% -> X
% Current number of equations to process: 868
% Current number of ordered equations: 0
% Current number of rules: 430
% New rule produced :
% [688]
% (inverse(a) multiply X) add ((inverse(d) multiply X) add (inverse(b) multiply X))
% -> X
% Current number of equations to process: 867
% Current number of ordered equations: 0
% Current number of rules: 431
% New rule produced :
% [689]
% (a multiply X) add ((inverse(c) add inverse(X)) add inverse(Y)) ->
% multiplicative_identity
% Current number of equations to process: 866
% Current number of ordered equations: 0
% Current number of rules: 432
% New rule produced :
% [690]
% (b multiply X) add ((inverse(c) add inverse(X)) add inverse(Y)) ->
% multiplicative_identity
% Current number of equations to process: 865
% Current number of ordered equations: 0
% Current number of rules: 433
% New rule produced :
% [691]
% ((inverse(X) add inverse(Z)) add inverse(V_3)) add (X add Y) ->
% multiplicative_identity
% Current number of equations to process: 864
% Current number of ordered equations: 0
% Current number of rules: 434
% New rule produced :
% [692]
% (X multiply Y) add (inverse(Y) add inverse(Z)) ->
% (inverse(Y) add inverse(Z)) add X
% Current number of equations to process: 863
% Current number of ordered equations: 0
% Current number of rules: 435
% New rule produced :
% [693] (c add inverse(a)) add inverse(X) <-> (c add inverse(X)) add inverse(a)
% Current number of equations to process: 862
% Current number of ordered equations: 1
% Current number of rules: 436
% New rule produced :
% [694] (c add inverse(X)) add inverse(a) <-> (c add inverse(a)) add inverse(X)
% Current number of equations to process: 862
% Current number of ordered equations: 0
% Current number of rules: 437
% New rule produced :
% [695] (c add inverse(b)) add inverse(X) <-> (c add inverse(X)) add inverse(b)
% Current number of equations to process: 861
% Current number of ordered equations: 1
% Current number of rules: 438
% New rule produced :
% [696] (c add inverse(X)) add inverse(b) <-> (c add inverse(b)) add inverse(X)
% Current number of equations to process: 861
% Current number of ordered equations: 0
% Current number of rules: 439
% New rule produced :
% [697] (inverse(a) add inverse(X)) add b -> (c add inverse(a)) add inverse(X)
% Current number of equations to process: 860
% Current number of ordered equations: 0
% Current number of rules: 440
% New rule produced :
% [698] (inverse(b) add inverse(X)) add a -> (c add inverse(b)) add inverse(X)
% Current number of equations to process: 859
% Current number of ordered equations: 0
% Current number of rules: 441
% New rule produced :
% [699]
% ((inverse(b) multiply X) multiply a) add (inverse(d) add inverse(X)) ->
% a add inverse(X)
% Current number of equations to process: 860
% Current number of ordered equations: 1
% Current number of rules: 442
% New rule produced :
% [700]
% ((inverse(a) multiply X) multiply b) add (inverse(d) add inverse(X)) ->
% b add inverse(X)
% Current number of equations to process: 860
% Current number of ordered equations: 0
% Current number of rules: 443
% New rule produced :
% [701] (inverse(X) add inverse(Y)) add Z <-> (inverse(X) add Z) add inverse(Y)
% Rule [654] (inverse(c) add inverse(X)) add a -> multiplicative_identity
% collapsed.
% Rule [655] (inverse(c) add inverse(X)) add b -> multiplicative_identity
% collapsed.
% Rule
% [683] (inverse(a) add inverse(X)) add c -> (c add inverse(X)) add inverse(a)
% collapsed.
% Rule
% [684] (inverse(b) add inverse(X)) add c -> (c add inverse(X)) add inverse(b)
% collapsed.
% Rule
% [697] (inverse(a) add inverse(X)) add b -> (c add inverse(a)) add inverse(X)
% collapsed.
% Rule
% [698] (inverse(b) add inverse(X)) add a -> (c add inverse(b)) add inverse(X)
% collapsed.
% Current number of equations to process: 865
% Current number of ordered equations: 1
% Current number of rules: 438
% New rule produced :
% [702] (inverse(X) add Z) add inverse(Y) <-> (inverse(X) add inverse(Y)) add Z
% Current number of equations to process: 865
% Current number of ordered equations: 0
% Current number of rules: 439
% New rule produced :
% [703]
% (inverse(X) add inverse(Y)) add inverse(Z) <->
% (inverse(Y) add inverse(Z)) add inverse(X)
% Current number of equations to process: 864
% Current number of ordered equations: 1
% Current number of rules: 440
% New rule produced :
% [704]
% (inverse(Y) add inverse(Z)) add inverse(X) <->
% (inverse(X) add inverse(Y)) add inverse(Z)
% Current number of equations to process: 864
% Current number of ordered equations: 0
% Current number of rules: 441
% New rule produced : [705] inverse(c) multiply inverse(b) -> inverse(b)
% Rule [604] (inverse(c) multiply inverse(b)) add a -> c add inverse(b)
% collapsed.
% Current number of equations to process: 865
% Current number of ordered equations: 0
% Current number of rules: 441
% Rule [666] b multiply inverse(d) -> c multiply inverse(d) is composed into
% [666] b multiply inverse(d) -> inverse(d)
% Rule [665] a multiply inverse(d) -> c multiply inverse(d) is composed into
% [665] a multiply inverse(d) -> inverse(d)
% New rule produced : [706] c multiply inverse(d) -> inverse(d)
% Rule [663] (c multiply inverse(d)) add inverse(a) -> c add inverse(a)
% collapsed.
% Rule [664] (c multiply inverse(d)) add inverse(b) -> c add inverse(b)
% collapsed.
% Current number of equations to process: 865
% Current number of ordered equations: 0
% Current number of rules: 440
% New rule produced : [707] inverse(c) multiply inverse(a) -> inverse(a)
% Rule [608] (inverse(c) multiply inverse(a)) add b -> c add inverse(a)
% collapsed.
% Current number of equations to process: 865
% Current number of ordered equations: 0
% Current number of rules: 440
% New rule produced :
% [708]
% inverse((a multiply X) add c) add inverse(a) -> inverse((a multiply X) add c)
% Current number of equations to process: 896
% Current number of ordered equations: 0
% Current number of rules: 441
% New rule produced :
% [709]
% inverse((b multiply X) add c) add inverse(b) -> inverse((b multiply X) add c)
% Current number of equations to process: 895
% Current number of ordered equations: 0
% Current number of rules: 442
% New rule produced :
% [710] a multiply inverse(inverse(c) add X) -> inverse(inverse(c) add X)
% Current number of equations to process: 899
% Current number of ordered equations: 0
% Current number of rules: 443
% New rule produced :
% [711] b multiply inverse(inverse(c) add X) -> inverse(inverse(c) add X)
% Current number of equations to process: 899
% Current number of ordered equations: 0
% Current number of rules: 444
% New rule produced : [712] (X add Y) add inverse(inverse(X) add Z) -> X add Y
% Current number of equations to process: 905
% Current number of ordered equations: 0
% Current number of rules: 445
% New rule produced :
% [713] (X multiply Z) add (inverse(X) add Y) -> (inverse(X) add Y) add Z
% Rule
% [692]
% (X multiply Y) add (inverse(Y) add inverse(Z)) ->
% (inverse(Y) add inverse(Z)) add X collapsed.
% Current number of equations to process: 904
% Current number of ordered equations: 0
% Current number of rules: 445
% New rule produced :
% [714] (inverse(X) add Y) add (X add Z) -> multiplicative_identity
% Rule
% [658] (inverse(X) add inverse(Z)) add (X add Y) -> multiplicative_identity
% collapsed.
% Current number of equations to process: 907
% Current number of ordered equations: 0
% Current number of rules: 445
% New rule produced : [715] b multiply inverse(d add X) -> inverse(d add X)
% Current number of equations to process: 909
% Current number of ordered equations: 0
% Current number of rules: 446
% New rule produced : [716] b add inverse(d add X) -> b
% Current number of equations to process: 912
% Current number of ordered equations: 0
% Current number of rules: 447
% New rule produced :
% [717] (c add inverse(b)) add inverse(inverse(a) add X) -> c add inverse(b)
% Current number of equations to process: 911
% Current number of ordered equations: 0
% Current number of rules: 448
% New rule produced :
% [718] (c add inverse(a)) add inverse(inverse(b) add X) -> c add inverse(a)
% Current number of equations to process: 910
% Current number of ordered equations: 0
% Current number of rules: 449
% New rule produced :
% [719]
% (c add inverse(inverse(a) add X)) add b -> b add inverse(inverse(a) add X)
% Current number of equations to process: 909
% Current number of ordered equations: 0
% Current number of rules: 450
% New rule produced :
% [720]
% (c add inverse(inverse(b) add X)) add a -> a add inverse(inverse(b) add X)
% Current number of equations to process: 908
% Current number of ordered equations: 0
% Current number of rules: 451
% New rule produced :
% [721]
% (inverse(inverse(X) add Y) multiply Z) multiply X ->
% inverse(inverse(X) add Y) multiply Z
% Current number of equations to process: 907
% Current number of ordered equations: 0
% Current number of rules: 452
% New rule produced :
% [722]
% (d multiply inverse(inverse(a) add X)) add c ->
% c add inverse(inverse(a) add X)
% Current number of equations to process: 906
% Current number of ordered equations: 0
% Current number of rules: 453
% New rule produced :
% [723]
% (d multiply inverse(inverse(b) add X)) add c ->
% c add inverse(inverse(b) add X)
% Current number of equations to process: 905
% Current number of ordered equations: 0
% Current number of rules: 454
% New rule produced :
% [724] inverse(inverse(X) add inverse(Y)) add inverse(inverse(X) add Y) -> X
% Current number of equations to process: 904
% Current number of ordered equations: 0
% Current number of rules: 455
% New rule produced :
% [725]
% ((d multiply a) multiply X) add inverse((a multiply X) add b) -> inverse(b)
% Current number of equations to process: 903
% Current number of ordered equations: 0
% Current number of rules: 456
% New rule produced :
% [726]
% ((d multiply b) multiply X) add inverse((b multiply X) add a) -> inverse(a)
% Current number of equations to process: 902
% Current number of ordered equations: 0
% Current number of rules: 457
% New rule produced :
% [727]
% ((b multiply inverse(c)) multiply inverse(a)) add inverse(b add a) ->
% inverse(a)
% Current number of equations to process: 901
% Current number of ordered equations: 0
% Current number of rules: 458
% New rule produced :
% [728]
% ((a multiply inverse(c)) multiply inverse(b)) add inverse(b add a) ->
% inverse(b)
% Current number of equations to process: 900
% Current number of ordered equations: 0
% Current number of rules: 459
% New rule produced :
% [729]
% (d multiply X) add ((a add inverse(X)) add inverse(Y)) ->
% multiplicative_identity
% Current number of equations to process: 896
% Current number of ordered equations: 1
% Current number of rules: 460
% New rule produced :
% [730]
% (d multiply X) add ((b add inverse(X)) add inverse(Y)) ->
% multiplicative_identity
% Current number of equations to process: 896
% Current number of ordered equations: 0
% Current number of rules: 461
% New rule produced :
% [731]
% (((inverse(X) add inverse(Y)) add inverse(Z)) add inverse(V_3)) add X ->
% multiplicative_identity
% Current number of equations to process: 895
% Current number of ordered equations: 0
% Current number of rules: 462
% New rule produced :
% [732]
% ((b multiply inverse(c)) multiply X) add (a multiply X) ->
% (b multiply X) add (a multiply X)
% Current number of equations to process: 893
% Current number of ordered equations: 0
% Current number of rules: 463
% New rule produced :
% [733]
% ((a multiply inverse(c)) multiply X) add (b multiply X) ->
% (b multiply X) add (a multiply X)
% Current number of equations to process: 892
% Current number of ordered equations: 0
% Current number of rules: 464
% New rule produced :
% [734]
% ((X multiply Y) multiply Z) add inverse((Y multiply Z) add inverse(X)) -> X
% Current number of equations to process: 890
% Current number of ordered equations: 0
% Current number of rules: 465
% New rule produced :
% [735]
% ((d multiply a) add (c multiply X)) add (inverse(b) add X) ->
% inverse(b) add X
% Current number of equations to process: 888
% Current number of ordered equations: 0
% Current number of rules: 466
% New rule produced :
% [736]
% ((d multiply b) add (c multiply X)) add (inverse(a) add X) ->
% inverse(a) add X
% Current number of equations to process: 887
% Current number of ordered equations: 0
% Current number of rules: 467
% New rule produced :
% [737]
% ((X multiply Y) multiply Z) add (inverse(Z) multiply X) ->
% (inverse(Z) multiply X) add (X multiply Y)
% Rule
% [330] ((d multiply a) multiply c) add (a multiply inverse(c)) -> d multiply a
% collapsed.
% Rule
% [347] ((d multiply b) multiply c) add (b multiply inverse(c)) -> d multiply b
% collapsed.
% Current number of equations to process: 881
% Current number of ordered equations: 0
% Current number of rules: 466
% New rule produced :
% [738] (c add X) add inverse(a) <-> (c add inverse(a)) add X
% Rule
% [694] (c add inverse(X)) add inverse(a) <-> (c add inverse(a)) add inverse(X)
% collapsed.
% Current number of equations to process: 879
% Current number of ordered equations: 1
% Current number of rules: 466
% New rule produced :
% [739] (c add inverse(a)) add X <-> (c add X) add inverse(a)
% Rule [137] (c add inverse(a)) add b -> c add inverse(a) collapsed.
% Rule
% [693] (c add inverse(a)) add inverse(X) <-> (c add inverse(X)) add inverse(a)
% collapsed.
% Current number of equations to process: 879
% Current number of ordered equations: 0
% Current number of rules: 465
% New rule produced :
% [740] (c add X) add inverse(b) <-> (c add inverse(b)) add X
% Rule
% [556]
% ((inverse(a) multiply X) add c) add inverse(b) -> (c add X) add inverse(b)
% collapsed.
% Rule
% [558] ((inverse(a) add X) add c) add inverse(b) -> multiplicative_identity
% collapsed.
% Rule
% [696] (c add inverse(X)) add inverse(b) <-> (c add inverse(b)) add inverse(X)
% collapsed.
% Current number of equations to process: 879
% Current number of ordered equations: 1
% Current number of rules: 463
% New rule produced :
% [741]
% (inverse(a) multiply X) add (c add inverse(b)) -> (c add X) add inverse(b)
% Current number of equations to process: 878
% Current number of ordered equations: 1
% Current number of rules: 464
% New rule produced :
% [742] (c add inverse(b)) add X <-> (c add X) add inverse(b)
% Rule [136] (c add inverse(b)) add a -> c add inverse(b) collapsed.
% Rule
% [695] (c add inverse(b)) add inverse(X) <-> (c add inverse(X)) add inverse(b)
% collapsed.
% Current number of equations to process: 878
% Current number of ordered equations: 0
% Current number of rules: 463
% New rule produced :
% [743]
% (((a multiply X) add (a multiply Y)) add c) add inverse(b) ->
% c add inverse(b)
% Current number of equations to process: 877
% Current number of ordered equations: 0
% Current number of rules: 464
% New rule produced :
% [744]
% (((b multiply X) add (b multiply Y)) add c) add inverse(a) ->
% c add inverse(a)
% Current number of equations to process: 875
% Current number of ordered equations: 0
% Current number of rules: 465
% New rule produced :
% [745]
% ((a multiply X) add b) add (c add inverse(a)) ->
% (c add inverse(a)) add (b add X)
% Current number of equations to process: 873
% Current number of ordered equations: 0
% Current number of rules: 466
% New rule produced :
% [746]
% ((b multiply X) add a) add (c add inverse(b)) ->
% (c add inverse(b)) add (a add X)
% Current number of equations to process: 872
% Current number of ordered equations: 0
% Current number of rules: 467
% New rule produced :
% [747]
% ((inverse(X) multiply Y) multiply Z) add inverse((Y multiply Z) add X) ->
% inverse(X)
% Current number of equations to process: 871
% Current number of ordered equations: 0
% Current number of rules: 468
% New rule produced :
% [748]
% ((inverse(X) multiply Y) add (Y multiply Z)) add (inverse(Y) add X) ->
% multiplicative_identity
% Current number of equations to process: 895
% Current number of ordered equations: 0
% Current number of rules: 469
% New rule produced :
% [749] (inverse(X add Y) multiply Z) add inverse(X) -> inverse(X)
% Current number of equations to process: 929
% Current number of ordered equations: 0
% Current number of rules: 470
% New rule produced :
% [750] (inverse((X multiply Y) add Z) multiply Y) add inverse(X) -> inverse(X)
% Current number of equations to process: 931
% Current number of ordered equations: 0
% Current number of rules: 471
% New rule produced :
% [751] ((a multiply Y) multiply X) add d -> (X multiply Y) add d
% Current number of equations to process: 940
% Current number of ordered equations: 0
% Current number of rules: 472
% New rule produced :
% [752] (a multiply X) add (inverse(d) multiply X) -> a multiply X
% Current number of equations to process: 942
% Current number of ordered equations: 0
% Current number of rules: 473
% New rule produced : [753] c add inverse(d) -> c
% Current number of equations to process: 944
% Current number of ordered equations: 0
% Current number of rules: 474
% New rule produced :
% [754] (inverse(d) multiply X) multiply inverse(a) -> additive_identity
% Current number of equations to process: 946
% Current number of ordered equations: 0
% Current number of rules: 475
% New rule produced : [755] (inverse(d) multiply X) add a -> a
% Current number of equations to process: 946
% Current number of ordered equations: 0
% Current number of rules: 476
% New rule produced :
% [756] (d multiply X) multiply inverse(a) -> inverse(a) multiply X
% Rule [155] (d multiply b) multiply inverse(a) -> d multiply b collapsed.
% Current number of equations to process: 944
% Current number of ordered equations: 1
% Current number of rules: 476
% New rule produced :
% [757] (a multiply X) multiply inverse(d) -> inverse(d) multiply X
% Current number of equations to process: 944
% Current number of ordered equations: 0
% Current number of rules: 477
% New rule produced : [758] (inverse(d) add X) add a -> a add X
% Current number of equations to process: 944
% Current number of ordered equations: 0
% Current number of rules: 478
% New rule produced :
% [759] (b multiply X) add (inverse(d) multiply X) -> b multiply X
% Current number of equations to process: 944
% Current number of ordered equations: 0
% Current number of rules: 479
% New rule produced :
% [760] (inverse(d) multiply X) multiply inverse(b) -> additive_identity
% Current number of equations to process: 948
% Current number of ordered equations: 0
% Current number of rules: 480
% New rule produced : [761] (inverse(d) multiply X) add b -> b
% Current number of equations to process: 948
% Current number of ordered equations: 0
% Current number of rules: 481
% New rule produced :
% [762] (d multiply X) multiply inverse(b) -> inverse(b) multiply X
% Rule [154] (d multiply a) multiply inverse(b) -> d multiply a collapsed.
% Current number of equations to process: 946
% Current number of ordered equations: 1
% Current number of rules: 481
% New rule produced :
% [763] (b multiply X) multiply inverse(d) -> inverse(d) multiply X
% Current number of equations to process: 946
% Current number of ordered equations: 0
% Current number of rules: 482
% New rule produced : [764] (inverse(d) add X) add b -> b add X
% Current number of equations to process: 946
% Current number of ordered equations: 1
% Current number of rules: 483
% New rule produced : [765] (inverse(b) add X) add d -> d add X
% Rule [269] ((d multiply X) add inverse(b)) add d -> d collapsed.
% Current number of equations to process: 946
% Current number of ordered equations: 0
% Current number of rules: 483
% New rule produced :
% [766] (a add inverse(X)) add inverse(d) -> a add inverse(X)
% Current number of equations to process: 953
% Current number of ordered equations: 1
% Current number of rules: 484
% New rule produced :
% [767] (b add inverse(X)) add inverse(d) -> b add inverse(X)
% Current number of equations to process: 953
% Current number of ordered equations: 0
% Current number of rules: 485
% New rule produced :
% [768] inverse(c add inverse(b)) add inverse(a) -> inverse(a)
% Current number of equations to process: 960
% Current number of ordered equations: 0
% Current number of rules: 486
% New rule produced :
% [769] inverse(c add inverse(a)) add inverse(b) -> inverse(b)
% Current number of equations to process: 959
% Current number of ordered equations: 0
% Current number of rules: 487
% New rule produced :
% [770] (inverse(c) add inverse(X)) add inverse(a) -> inverse(c) add inverse(X)
% Current number of equations to process: 964
% Current number of ordered equations: 0
% Current number of rules: 488
% New rule produced :
% [771] (inverse(c) add inverse(X)) add inverse(b) -> inverse(c) add inverse(X)
% Current number of equations to process: 963
% Current number of ordered equations: 0
% Current number of rules: 489
% New rule produced : [772] d add inverse(a add X) -> d
% Current number of equations to process: 998
% Current number of ordered equations: 0
% Current number of rules: 490
% New rule produced :
% [773] (inverse(c) multiply X) multiply inverse(a) -> inverse(a) multiply X
% Rule
% [727]
% ((b multiply inverse(c)) multiply inverse(a)) add inverse(b add a) ->
% inverse(a) collapsed.
% Current number of equations to process: 1009
% Current number of ordered equations: 0
% Current number of rules: 490
% New rule produced : [774] d multiply c -> additive_identity
% Rule [380] (d multiply c) add inverse(b) -> inverse(b) collapsed.
% Rule [382] (d multiply c) add inverse(a) -> inverse(a) collapsed.
% Rule [592] (d multiply c) add (b multiply inverse(c)) -> d multiply b
% collapsed.
% Current number of equations to process: 1012
% Current number of ordered equations: 0
% Current number of rules: 488
% Rule [132] (d multiply b) multiply inverse(c) -> b multiply inverse(c) is composed into
% [132] (d multiply b) multiply inverse(c) -> d multiply b
% New rule produced : [775] b multiply inverse(c) -> d multiply b
% Rule [187] (b multiply inverse(c)) add a -> b add a collapsed.
% Rule
% [345]
% (d multiply b) multiply (b multiply inverse(c)) -> b multiply inverse(c)
% collapsed.
% Rule [455] (b multiply inverse(c)) multiply d -> b multiply inverse(c)
% collapsed.
% Rule
% [496] ((b multiply inverse(c)) multiply X) add (d multiply b) -> d multiply b
% collapsed.
% Rule
% [508]
% (b multiply inverse(c)) add (b multiply X) ->
% (c multiply X) add (b multiply inverse(c)) collapsed.
% Rule
% [571]
% ((b multiply inverse(c)) multiply X) multiply (d multiply b) ->
% (b multiply inverse(c)) multiply X collapsed.
% Rule
% [732]
% ((b multiply inverse(c)) multiply X) add (a multiply X) ->
% (b multiply X) add (a multiply X) collapsed.
% Current number of equations to process: 1011
% Current number of ordered equations: 0
% Current number of rules: 482
% New rule produced : [776] (a multiply X) multiply c -> c multiply X
% Rule
% [213]
% ((a multiply X) multiply c) add (d multiply b) ->
% (d multiply b) add (c multiply X) collapsed.
% Rule
% [367]
% ((a multiply X) multiply c) add (d multiply a) ->
% (d multiply a) add (c multiply X) collapsed.
% Rule
% [403]
% ((a multiply X) multiply c) add ((a multiply X) multiply inverse(b)) ->
% a multiply X collapsed.
% Current number of equations to process: 1013
% Current number of ordered equations: 0
% Current number of rules: 480
% New rule produced :
% [777] (inverse(a) multiply X) multiply c -> additive_identity
% Rule
% [283] ((inverse(a) multiply X) multiply c) add (d multiply b) -> d multiply b
% collapsed.
% Current number of equations to process: 1013
% Current number of ordered equations: 0
% Current number of rules: 480
% New rule produced : [778] (c add X) add a -> a add X
% Rule [89] ((b multiply X) add c) add a -> (b multiply X) add a collapsed.
% Rule [197] ((a multiply X) add c) add a -> a collapsed.
% Rule
% [536]
% (((b multiply X) multiply Y) add c) add a ->
% ((b multiply X) multiply Y) add a collapsed.
% Rule [637] (((a multiply X) multiply Y) add c) add a -> a collapsed.
% Rule [639] (((a multiply X) add (a multiply Y)) add c) add a -> a collapsed.
% Rule
% [720]
% (c add inverse(inverse(b) add X)) add a -> a add inverse(inverse(b) add X)
% collapsed.
% Current number of equations to process: 1013
% Current number of ordered equations: 0
% Current number of rules: 475
% New rule produced :
% [779] (inverse(a) add X) add inverse(c) -> inverse(c) add X
% Current number of equations to process: 1013
% Current number of ordered equations: 0
% Current number of rules: 476
% New rule produced :
% [780] (inverse(a) multiply X) add inverse(c) -> inverse(c)
% Current number of equations to process: 1013
% Current number of ordered equations: 0
% Current number of rules: 477
% New rule produced :
% [781] (inverse(c) multiply X) multiply inverse(b) -> inverse(b) multiply X
% Rule
% [728]
% ((a multiply inverse(c)) multiply inverse(b)) add inverse(b add a) ->
% inverse(b) collapsed.
% Current number of equations to process: 1013
% Current number of ordered equations: 0
% Current number of rules: 477
% New rule produced : [782] (b multiply X) multiply c -> c multiply X
% Rule
% [212]
% ((b multiply X) multiply c) add (d multiply a) ->
% (d multiply a) add (c multiply X) collapsed.
% Rule
% [375]
% ((b multiply X) multiply c) add (d multiply b) ->
% (d multiply b) add (c multiply X) collapsed.
% Rule
% [405]
% ((b multiply X) multiply c) add ((b multiply X) multiply inverse(a)) ->
% b multiply X collapsed.
% Current number of equations to process: 1017
% Current number of ordered equations: 0
% Current number of rules: 475
% New rule produced :
% [783] (inverse(b) multiply X) multiply c -> additive_identity
% Rule
% [281] ((inverse(b) multiply X) multiply c) add (d multiply a) -> d multiply a
% collapsed.
% Current number of equations to process: 1017
% Current number of ordered equations: 0
% Current number of rules: 475
% New rule produced : [784] (c add X) add b -> b add X
% Rule [90] ((a multiply X) add c) add b -> (a multiply X) add b collapsed.
% Rule [199] ((b multiply X) add c) add b -> b collapsed.
% Rule
% [537]
% (((a multiply X) multiply Y) add c) add b ->
% ((a multiply X) multiply Y) add b collapsed.
% Rule [638] (((b multiply X) multiply Y) add c) add b -> b collapsed.
% Rule [640] (((b multiply X) add (b multiply Y)) add c) add b -> b collapsed.
% Rule
% [719]
% (c add inverse(inverse(a) add X)) add b -> b add inverse(inverse(a) add X)
% collapsed.
% Current number of equations to process: 1017
% Current number of ordered equations: 0
% Current number of rules: 470
% New rule produced :
% [785] (inverse(b) add X) add inverse(c) -> inverse(c) add X
% Current number of equations to process: 1017
% Current number of ordered equations: 0
% Current number of rules: 471
% New rule produced :
% [786] (inverse(b) multiply X) add inverse(c) -> inverse(c)
% Current number of equations to process: 1017
% Current number of ordered equations: 0
% Current number of rules: 472
% New rule produced :
% [787] ((a multiply X) multiply d) add inverse(b) -> inverse(b)
% Current number of equations to process: 1017
% Current number of ordered equations: 0
% Current number of rules: 473
% New rule produced :
% [788] (b multiply X) multiply inverse(a) -> (b multiply X) multiply d
% Rule
% [282] ((b multiply X) multiply inverse(a)) add (d multiply b) -> d multiply b
% collapsed.
% Rule [453] ((b multiply X) multiply inverse(a)) add c -> (b multiply X) add c
% collapsed.
% Current number of equations to process: 1018
% Current number of ordered equations: 1
% Current number of rules: 472
% New rule produced :
% [789] (a multiply X) multiply inverse(b) -> (a multiply X) multiply d
% Rule
% [280] ((a multiply X) multiply inverse(b)) add (d multiply a) -> d multiply a
% collapsed.
% Rule [452] ((a multiply X) multiply inverse(b)) add c -> (a multiply X) add c
% collapsed.
% Current number of equations to process: 1019
% Current number of ordered equations: 0
% Current number of rules: 471
% New rule produced :
% [790] ((a multiply X) multiply d) add c -> (a multiply X) add c
% Current number of equations to process: 1018
% Current number of ordered equations: 0
% Current number of rules: 472
% New rule produced :
% [791] ((b multiply X) multiply d) add c -> (b multiply X) add c
% Current number of equations to process: 1017
% Current number of ordered equations: 0
% Current number of rules: 473
% New rule produced :
% [792] ((b multiply X) multiply d) add inverse(a) -> inverse(a)
% Current number of equations to process: 1019
% Current number of ordered equations: 0
% Current number of rules: 474
% New rule produced :
% [793] (inverse(X) multiply Y) multiply (X multiply Z) -> additive_identity
% Current number of equations to process: 1020
% Current number of ordered equations: 0
% Current number of rules: 475
% New rule produced : [794] (b multiply X) multiply a -> c multiply X
% Rule [232] (d multiply b) multiply a -> additive_identity collapsed.
% Rule [278] ((b multiply X) multiply a) add c -> c collapsed.
% Current number of equations to process: 1020
% Current number of ordered equations: 0
% Current number of rules: 474
% New rule produced : [795] (a multiply X) multiply b -> c multiply X
% Rule [230] (d multiply a) multiply b -> additive_identity collapsed.
% Rule [279] ((a multiply X) multiply b) add c -> c collapsed.
% Current number of equations to process: 1020
% Current number of ordered equations: 0
% Current number of rules: 473
% New rule produced :
% [796] (X multiply Y) multiply (X multiply Z) -> (X multiply Y) multiply Z
% Rule
% [327]
% (d multiply a) multiply (a multiply inverse(c)) -> a multiply inverse(c)
% collapsed.
% Current number of equations to process: 1019
% Current number of ordered equations: 0
% Current number of rules: 473
% New rule produced : [797] ((Y multiply Z) add X) add Y -> X add Y
% Rule [63] ((X multiply Y) add (X multiply Z)) add Z -> (X multiply Y) add Z
% collapsed.
% Rule [65] ((b multiply X) add c) add X -> c add X collapsed.
% Rule [66] ((a multiply X) add c) add X -> c add X collapsed.
% Rule [107] ((X multiply Y) add (X multiply Z)) add X -> X collapsed.
% Rule
% [141]
% ((d multiply a) add (inverse(b) multiply X)) add X -> (d multiply a) add X
% collapsed.
% Rule
% [142]
% ((d multiply b) add (inverse(a) multiply X)) add X -> (d multiply b) add X
% collapsed.
% Rule [250] ((d multiply X) add inverse(a)) add X -> inverse(a) add X
% collapsed.
% Rule [252] ((d multiply X) add inverse(b)) add X -> inverse(b) add X
% collapsed.
% Rule
% [275]
% ((d multiply a) add (inverse(b) multiply X)) add inverse(b) -> inverse(b)
% collapsed.
% Rule
% [276]
% ((d multiply b) add (inverse(a) multiply X)) add inverse(a) -> inverse(a)
% collapsed.
% Rule [339] ((d multiply a) add (c multiply X)) add X -> (d multiply a) add X
% collapsed.
% Rule [355] ((d multiply b) add (c multiply X)) add X -> (d multiply b) add X
% collapsed.
% Rule
% [390] ((X multiply Y) add ((X multiply Z) add (X multiply V_3))) add X -> X
% collapsed.
% Rule [433] ((d multiply X) add (inverse(b) multiply Y)) add d -> d collapsed.
% Rule [437] ((d multiply X) add (inverse(a) multiply Y)) add d -> d collapsed.
% Rule [462] ((c multiply X) add (a multiply Y)) add a -> a collapsed.
% Rule [466] ((c multiply X) add (b multiply Y)) add b -> b collapsed.
% Rule [494] (((X multiply Y) multiply Z) add (X multiply V_3)) add X -> X
% collapsed.
% Rule [497] ((c multiply X) add (a multiply Y)) add Y -> (c multiply X) add Y
% collapsed.
% Rule [498] ((c multiply X) add (b multiply Y)) add Y -> (c multiply X) add Y
% collapsed.
% Rule [519] (((d multiply a) add X) add a) add b -> (a add X) add b collapsed.
% Rule [521] (((d multiply b) add X) add b) add a -> (b add X) add a collapsed.
% Rule [541] (((inverse(Z) multiply X) add Y) add X) add Z -> (X add Y) add Z
% collapsed.
% Rule
% [568]
% ((d multiply X) add (inverse(b) multiply Y)) add X ->
% (inverse(b) multiply Y) add X collapsed.
% Rule
% [569]
% ((d multiply X) add (inverse(a) multiply Y)) add X ->
% (inverse(a) multiply Y) add X collapsed.
% Rule
% [572]
% (((X multiply Z) add Y) add X) add inverse(Z) -> (X add Y) add inverse(Z)
% collapsed.
% Current number of equations to process: 1019
% Current number of ordered equations: 0
% Current number of rules: 448
% New rule produced : [798] inverse(inverse(X) add inverse(Y)) -> X multiply Y
% Rule
% [724] inverse(inverse(X) add inverse(Y)) add inverse(inverse(X) add Y) -> X
% collapsed.
% Current number of equations to process: 1019
% Current number of ordered equations: 0
% Current number of rules: 448
% New rule produced :
% [799] (inverse(X) add Y) add inverse(X add Y) -> inverse(X) add Y
% Current number of equations to process: 1019
% Current number of ordered equations: 0
% Current number of rules: 449
% New rule produced :
% [800] (c add inverse(b)) add inverse(b add a) -> c add inverse(b)
% Current number of equations to process: 1018
% Current number of ordered equations: 0
% Current number of rules: 450
% New rule produced :
% [801] (c add inverse(a)) add inverse(b add a) -> c add inverse(a)
% Current number of equations to process: 1017
% Current number of ordered equations: 0
% Current number of rules: 451
% New rule produced :
% [802]
% (inverse(c) multiply X) add (inverse(a) multiply X) -> inverse(c) multiply X
% Current number of equations to process: 1016
% Current number of ordered equations: 0
% Current number of rules: 452
% New rule produced :
% [803]
% (inverse(c) multiply X) add (inverse(b) multiply X) -> inverse(c) multiply X
% Current number of equations to process: 1015
% Current number of ordered equations: 0
% Current number of rules: 453
% New rule produced :
% [804] inverse((b multiply X) add c) multiply inverse(b) -> inverse(b)
% Current number of equations to process: 1017
% Current number of ordered equations: 0
% Current number of rules: 454
% New rule produced :
% [805] ((a multiply X) multiply d) add (c multiply X) -> a multiply X
% Current number of equations to process: 1020
% Current number of ordered equations: 0
% Current number of rules: 455
% New rule produced :
% [806] ((b multiply X) multiply d) add (c multiply X) -> b multiply X
% Current number of equations to process: 1019
% Current number of ordered equations: 0
% Current number of rules: 456
% New rule produced :
% [807] (c multiply inverse(inverse(a) add X)) add (c multiply X) -> c
% Current number of equations to process: 1018
% Current number of ordered equations: 0
% Current number of rules: 457
% New rule produced :
% [808] (c multiply inverse(inverse(b) add X)) add (c multiply X) -> c
% Current number of equations to process: 1017
% Current number of ordered equations: 0
% Current number of rules: 458
% New rule produced : [809] d multiply inverse(b add X) -> inverse(b add X)
% Current number of equations to process: 1019
% Current number of ordered equations: 1
% Current number of rules: 459
% New rule produced : [810] d multiply inverse(a add X) -> inverse(a add X)
% Current number of equations to process: 1019
% Current number of ordered equations: 0
% Current number of rules: 460
% New rule produced :
% [811] d multiply inverse(c add inverse(b)) -> inverse(c add inverse(b))
% Current number of equations to process: 1021
% Current number of ordered equations: 0
% Current number of rules: 461
% New rule produced :
% [812] d multiply inverse(c add inverse(a)) -> inverse(c add inverse(a))
% Current number of equations to process: 1020
% Current number of ordered equations: 0
% Current number of rules: 462
% New rule produced :
% [813] inverse((a multiply X) add c) multiply inverse(a) -> inverse(a)
% Current number of equations to process: 1028
% Current number of ordered equations: 0
% Current number of rules: 463
% New rule produced :
% [814] (inverse(X) multiply Z) add (X add Y) -> (X add Y) add Z
% Rule [288] (inverse(c) multiply X) add ((b multiply X) add c) -> c add X
% collapsed.
% Rule [289] (inverse(c) multiply X) add ((a multiply X) add c) -> c add X
% collapsed.
% Current number of equations to process: 1027
% Current number of ordered equations: 0
% Current number of rules: 462
% New rule produced :
% [815] (inverse(X) add Y) add inverse(X add Z) -> inverse(X) add Y
% Rule [799] (inverse(X) add Y) add inverse(X add Y) -> inverse(X) add Y
% collapsed.
% Rule [800] (c add inverse(b)) add inverse(b add a) -> c add inverse(b)
% collapsed.
% Rule [801] (c add inverse(a)) add inverse(b add a) -> c add inverse(a)
% collapsed.
% Current number of equations to process: 1040
% Current number of ordered equations: 0
% Current number of rules: 460
% New rule produced :
% [816] inverse(inverse(X) add Y) add inverse(X add Y) -> inverse(Y)
% Current number of equations to process: 1055
% Current number of ordered equations: 0
% Current number of rules: 461
% New rule produced : [817] d add inverse(c) -> d
% Current number of equations to process: 1077
% Current number of ordered equations: 0
% Current number of rules: 462
% New rule produced : [818] inverse(c) -> d
% Rule [117] b add inverse(c) -> multiplicative_identity collapsed.
% Rule [120] a add inverse(c) -> multiplicative_identity collapsed.
% Rule [126] (d multiply a) multiply inverse(c) -> a multiply inverse(c)
% collapsed.
% Rule [132] (d multiply b) multiply inverse(c) -> d multiply b collapsed.
% Rule [189] (a multiply inverse(c)) add b -> b add a collapsed.
% Rule [290] ((inverse(c) multiply X) multiply b) add a -> (b multiply X) add a
% collapsed.
% Rule [291] ((inverse(c) multiply X) multiply a) add b -> (a multiply X) add b
% collapsed.
% Rule [321] (b multiply X) add (inverse(c) multiply X) -> X collapsed.
% Rule [323] (a multiply X) add (inverse(c) multiply X) -> X collapsed.
% Rule [328] d multiply inverse(c) -> inverse(c) collapsed.
% Rule [454] (a multiply inverse(c)) multiply d -> a multiply inverse(c)
% collapsed.
% Rule [478] (a add X) add inverse(c) -> multiplicative_identity collapsed.
% Rule [479] (b add X) add inverse(c) -> multiplicative_identity collapsed.
% Rule
% [495] ((a multiply inverse(c)) multiply X) add (d multiply a) -> d multiply a
% collapsed.
% Rule
% [507]
% (a multiply inverse(c)) add (a multiply X) ->
% (c multiply X) add (a multiply inverse(c)) collapsed.
% Rule [553] (a multiply X) add inverse(c) -> inverse(c) add X collapsed.
% Rule [554] (b multiply X) add inverse(c) -> inverse(c) add X collapsed.
% Rule
% [570]
% ((a multiply inverse(c)) multiply X) multiply (d multiply a) ->
% (a multiply inverse(c)) multiply X collapsed.
% Rule [656] inverse(c) add inverse(a) -> inverse(c) collapsed.
% Rule [657] inverse(c) add inverse(b) -> inverse(c) collapsed.
% Rule
% [661] (a add X) add (inverse(c) add inverse(Y)) -> multiplicative_identity
% collapsed.
% Rule
% [662] (b add X) add (inverse(c) add inverse(Y)) -> multiplicative_identity
% collapsed.
% Rule
% [679]
% (a multiply X) add ((inverse(c) multiply X) add (inverse(Y) multiply X)) -> X
% collapsed.
% Rule
% [680]
% (b multiply X) add ((inverse(c) multiply X) add (inverse(Y) multiply X)) -> X
% collapsed.
% Rule
% [689]
% (a multiply X) add ((inverse(c) add inverse(X)) add inverse(Y)) ->
% multiplicative_identity collapsed.
% Rule
% [690]
% (b multiply X) add ((inverse(c) add inverse(X)) add inverse(Y)) ->
% multiplicative_identity collapsed.
% Rule [705] inverse(c) multiply inverse(b) -> inverse(b) collapsed.
% Rule [707] inverse(c) multiply inverse(a) -> inverse(a) collapsed.
% Rule [710] a multiply inverse(inverse(c) add X) -> inverse(inverse(c) add X)
% collapsed.
% Rule [711] b multiply inverse(inverse(c) add X) -> inverse(inverse(c) add X)
% collapsed.
% Rule
% [733]
% ((a multiply inverse(c)) multiply X) add (b multiply X) ->
% (b multiply X) add (a multiply X) collapsed.
% Rule
% [770] (inverse(c) add inverse(X)) add inverse(a) -> inverse(c) add inverse(X)
% collapsed.
% Rule
% [771] (inverse(c) add inverse(X)) add inverse(b) -> inverse(c) add inverse(X)
% collapsed.
% Rule
% [773] (inverse(c) multiply X) multiply inverse(a) -> inverse(a) multiply X
% collapsed.
% Rule [775] b multiply inverse(c) -> d multiply b collapsed.
% Rule [779] (inverse(a) add X) add inverse(c) -> inverse(c) add X collapsed.
% Rule [780] (inverse(a) multiply X) add inverse(c) -> inverse(c) collapsed.
% Rule
% [781] (inverse(c) multiply X) multiply inverse(b) -> inverse(b) multiply X
% collapsed.
% Rule [785] (inverse(b) add X) add inverse(c) -> inverse(c) add X collapsed.
% Rule [786] (inverse(b) multiply X) add inverse(c) -> inverse(c) collapsed.
% Rule
% [802]
% (inverse(c) multiply X) add (inverse(a) multiply X) -> inverse(c) multiply X
% collapsed.
% Rule
% [803]
% (inverse(c) multiply X) add (inverse(b) multiply X) -> inverse(c) multiply X
% collapsed.
% Rule [817] d add inverse(c) -> d collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% Trivial
%
% Current number of equations to process: 1092
% Current number of ordered equations: 0
% Current number of rules: 420
% The current conjecture is true and the solution is the identity
% % SZS output start Refutation
%
% The following 13 rules have been used:
% [2]
% b multiply a -> c; trace = in the starting set
% [4] inverse(X) multiply X -> additive_identity; trace = in the starting set
% [5] inverse(X) add X -> multiplicative_identity; trace = in the starting set
% [8] (Y add Z) multiply X -> (X multiply Y) add (X multiply Z); trace = in the starting set
% [9] ((X multiply Y) add (X multiply Z)) add ((Y multiply Z) add (Z multiply Z))
% -> (X multiply Y) add Z; trace = in the starting set
% [13] (inverse(Y) multiply X) add (X multiply Y) -> X; trace = Cp of 8 and 5
% [39] (X multiply Y) add inverse(X) -> inverse(X) add Y; trace = Cp of 9 and 4
% [56] (inverse(X add Y) multiply Z) add ((X multiply Z) add (Y multiply Z)) ->
% Z; trace = Cp of 13 and 8
% [63] ((X multiply Y) add (X multiply Z)) add Z -> (X multiply Y) add Z; trace = in the starting set
% [73] a add inverse(b) -> c add inverse(b); trace = Cp of 39 and 2
% [96] (inverse(X add Y) multiply inverse(X)) add (inverse(X) multiply Y) ->
% inverse(X); trace = Cp of 56 and 4
% [223] inverse(X add Y) add Y -> inverse(X) add Y; trace = Cp of 96 and 63
% [818] inverse(c) -> d; trace = Cp of 223 and 73
% % SZS output end Refutation
% All conjectures have been proven
%
% Execution time: 15.210000 sec
% res : bool = true
% time is now off
%
% status : string = "unsatisfiable"
% % SZS status Unsatisfiable
% CiME interrupted
%
% EOF
%------------------------------------------------------------------------------