TSTP Solution File: BOO014-2 by CiME---2.01
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%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : BOO014-2 : TPTP v6.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n106.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 11.14s
% Output : Refutation 11.14s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : BOO014-2 : TPTP v6.0.0. Released v1.0.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n106.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 17:10:23 CDT 2014
% % CPUTime : 11.14
% Processing problem /tmp/CiME_11802_n106.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 add b = c;
% inverse(a) multiply 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 add a = c,
% inverse(b) multiply 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] additive_identity add X -> X
% Current number of equations to process: 0
% Current number of ordered equations: 8
% Current number of rules: 2
% New rule produced : [3] b add a -> c
% 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) multiply 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] (b multiply X) add (a multiply X) -> c multiply X
% Current number of equations to process: 3
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced : [14] (inverse(Y) multiply X) add (X multiply Y) -> 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: 7
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced :
% [16]
% ((inverse(b) multiply X) add d) add ((inverse(a) multiply X) add (X multiply X))
% -> d add X
% Current number of equations to process: 5
% Current number of ordered equations: 1
% Current number of rules: 15
% New rule produced :
% [17]
% ((inverse(b) multiply X) add (X multiply X)) add ((inverse(a) multiply X) add d)
% -> d add X
% Current number of equations to process: 5
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced : [18] (X multiply X) add Y <-> (Y multiply Y) add X
% Current number of equations to process: 5
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced :
% [19] (inverse(X) multiply Y) add X -> (X multiply X) add Y
% Current number of equations to process: 16
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced :
% [20] (X multiply Y) add inverse(X) <-> (inverse(X) multiply inverse(X)) add Y
% Current number of equations to process: 15
% Current number of ordered equations: 1
% Current number of rules: 19
% New rule produced :
% [21] (inverse(X) multiply inverse(X)) add Y <-> (X multiply Y) add inverse(X)
% Current number of equations to process: 15
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced :
% [22]
% ((X multiply Y) add Y) add (multiplicative_identity add X) ->
% (X multiply Y) add multiplicative_identity
% Current number of equations to process: 13
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced :
% [23] ((X multiply X) add X) add ((X multiply Y) add Y) -> X add Y
% Current number of equations to process: 9
% Current number of ordered equations: 2
% Current number of rules: 22
% New rule produced :
% [24] ((X multiply X) add (X multiply Y)) add (X add Y) -> X add Y
% Current number of equations to process: 9
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [25] (X multiply Y) add ((inverse(X) multiply Y) add (Y multiply Y)) -> Y
% Current number of equations to process: 7
% Current number of ordered equations: 1
% Current number of rules: 24
% New rule produced :
% [26] (inverse(X) multiply Y) add ((X multiply Y) add (Y multiply Y)) -> Y
% Current number of equations to process: 7
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced : [27] (additive_identity multiply inverse(a)) add d -> d
% Current number of equations to process: 14
% Current number of ordered equations: 1
% Current number of rules: 26
% New rule produced : [28] (additive_identity multiply inverse(b)) add d -> d
% Current number of equations to process: 14
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced : [29] (additive_identity multiply X) add X -> X
% Current number of equations to process: 14
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced : [30] additive_identity multiply X -> additive_identity
% Rule [12] (additive_identity multiply Y) add (X multiply Y) -> X multiply Y
% collapsed.
% Rule [27] (additive_identity multiply inverse(a)) add d -> d collapsed.
% Rule [28] (additive_identity multiply inverse(b)) add d -> d collapsed.
% Rule [29] (additive_identity multiply X) add X -> X collapsed.
% Current number of equations to process: 15
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced : [31] a multiply inverse(b) -> c multiply inverse(b)
% Current number of equations to process: 14
% Current number of ordered equations: 1
% Current number of rules: 26
% New rule produced : [32] b multiply inverse(a) -> c multiply inverse(a)
% Current number of equations to process: 14
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced : [33] (b multiply b) add a -> c multiply c
% Current number of equations to process: 18
% Current number of ordered equations: 0
% Current number of rules: 28
% Rule [20]
% (X multiply Y) add inverse(X) <-> (inverse(X) multiply inverse(X)) add Y is composed into
% [20] (X multiply Y) add inverse(X) -> inverse(X) add Y
% Rule [19] (inverse(X) multiply Y) add X -> (X multiply X) add Y is composed into
% [19] (inverse(X) multiply Y) add X -> X add Y
% New rule produced : [34] 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]
% ((inverse(b) multiply X) add d) add ((inverse(a) multiply X) add (X multiply X))
% -> d add X collapsed.
% Rule
% [17]
% ((inverse(b) multiply X) add (X multiply X)) add ((inverse(a) multiply X) add d)
% -> d add X collapsed.
% Rule [18] (X multiply X) add Y <-> (Y multiply Y) add X collapsed.
% Rule
% [21] (inverse(X) multiply inverse(X)) add Y <-> (X multiply Y) add inverse(X)
% collapsed.
% Rule [23] ((X multiply X) add X) add ((X multiply Y) add Y) -> X add Y
% collapsed.
% Rule [24] ((X multiply X) add (X multiply Y)) add (X add Y) -> X add Y
% collapsed.
% Rule
% [25] (X multiply Y) add ((inverse(X) multiply Y) add (Y multiply Y)) -> Y
% collapsed.
% Rule
% [26] (inverse(X) multiply Y) add ((X multiply Y) add (Y multiply Y)) -> Y
% collapsed.
% Rule [33] (b multiply b) add a -> c multiply c collapsed.
% Current number of equations to process: 32
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced :
% [35]
% ((X multiply Y) add (X multiply Z)) add ((Y multiply Z) add Z) ->
% (X multiply Y) add Z
% Current number of equations to process: 31
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced : [36] inverse(inverse(X)) multiply X -> X
% Current number of equations to process: 30
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced : [37] inverse(inverse(X)) -> X
% Rule [36] inverse(inverse(X)) multiply X -> X collapsed.
% Current number of equations to process: 28
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced : [38] (c multiply inverse(b)) add d -> inverse(b)
% Current number of equations to process: 26
% Current number of ordered equations: 1
% Current number of rules: 22
% New rule produced : [39] (c multiply inverse(a)) add d -> inverse(a)
% Current number of equations to process: 26
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced :
% [40] (b multiply X) add a <-> (c multiply a) add (c multiply X)
% Current number of equations to process: 26
% Current number of ordered equations: 2
% Current number of rules: 24
% New rule produced :
% [41] (a multiply X) add b -> (c multiply b) add (c multiply X)
% Current number of equations to process: 26
% Current number of ordered equations: 1
% Current number of rules: 25
% New rule produced :
% [42] (c multiply a) add (c multiply X) <-> (b multiply X) add a
% Current number of equations to process: 26
% Current number of ordered equations: 0
% Current number of rules: 26
% New rule produced : [43] ((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: 27
% New rule produced : [44] ((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: 28
% New rule produced :
% [45] (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: 29
% New rule produced :
% [46] (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: 30
% New rule produced :
% [47]
% (inverse(multiplicative_identity add X) multiply X) add inverse(multiplicative_identity add X)
% -> additive_identity
% Current number of equations to process: 25
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced : [48] a add inverse(b) -> d add a
% Current number of equations to process: 25
% Current number of ordered equations: 1
% Current number of rules: 32
% New rule produced : [49] b add inverse(a) -> d add b
% Current number of equations to process: 25
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced :
% [50] multiplicative_identity add X -> multiplicative_identity
% Rule
% [22]
% ((X multiply Y) add Y) add (multiplicative_identity add X) ->
% (X multiply Y) add multiplicative_identity collapsed.
% Rule
% [47]
% (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: 32
% New rule produced : [51] X add X -> X
% Rule [43] ((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: 32
% New rule produced : [52] ((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: 33
% New rule produced : [53] (c multiply inverse(b)) add (b multiply a) -> a
% Current number of equations to process: 32
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced : [54] c add b -> c
% Current number of equations to process: 32
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced : [55] (c multiply inverse(a)) add (b multiply a) -> b
% Current number of equations to process: 33
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced :
% [56] (c multiply inverse(b)) add inverse(a) -> inverse(b) add inverse(a)
% Current number of equations to process: 32
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced : [57] c add a -> c
% Current number of equations to process: 32
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced :
% [58] (c multiply inverse(a)) add inverse(b) -> inverse(b) add inverse(a)
% Current number of equations to process: 33
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced :
% [59] ((X multiply Y) add X) add ((X multiply Y) add Y) -> X add Y
% Current number of equations to process: 32
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced :
% [60]
% ((X multiply Y) add (X multiply Z)) add inverse(X) ->
% (Y add Z) add inverse(X)
% Current number of equations to process: 31
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [61]
% ((b multiply X) multiply Y) add ((a multiply X) multiply Y) ->
% (c multiply X) multiply Y
% Current number of equations to process: 30
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced :
% [62]
% ((inverse(Z) multiply Y) multiply X) add ((Y multiply Z) multiply X) ->
% X multiply Y
% Current number of equations to process: 29
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced :
% [63]
% ((inverse(X) multiply Y) add (inverse(X) multiply Z)) add X ->
% (Y add Z) add X
% Current number of equations to process: 27
% Current number of ordered equations: 1
% Current number of rules: 44
% New rule produced :
% [64]
% ((inverse(X) multiply Z) multiply Y) add (X multiply Y) ->
% (X multiply Y) add (Y multiply Z)
% Current number of equations to process: 27
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced :
% [65]
% ((X multiply Z) multiply Y) add (inverse(X) multiply Y) ->
% (inverse(X) multiply Y) add (Y multiply Z)
% Current number of equations to process: 26
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced :
% [66]
% ((inverse(b) multiply X) add d) add ((inverse(a) multiply X) add X) ->
% d add X
% Current number of equations to process: 24
% Current number of ordered equations: 1
% Current number of rules: 47
% New rule produced :
% [67]
% ((inverse(b) multiply X) add X) add ((inverse(a) multiply X) add d) ->
% d add X
% Current number of equations to process: 24
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [68]
% (inverse(X add Y) multiply Z) add ((X multiply Z) add (Y multiply Z)) -> Z
% Current number of equations to process: 23
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [69] (inverse(X) multiply Y) add ((X multiply Y) add X) -> X add Y
% Current number of equations to process: 21
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced :
% [70]
% ((X multiply Y) add (X multiply Z)) add inverse(Y add Z) ->
% inverse(Y add Z) add X
% Current number of equations to process: 20
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [71] (inverse(X add Y) multiply X) add Y -> (X multiply Y) add Y
% Current number of equations to process: 30
% Current number of ordered equations: 0
% Current number of rules: 52
% Rule [71] (inverse(X add Y) multiply X) add Y -> (X multiply Y) add Y is composed into
% [71] (inverse(X add Y) multiply X) add Y -> Y
% New rule produced : [72] (X multiply Y) add X -> X
% Rule
% [35]
% ((X multiply Y) add (X multiply Z)) add ((Y multiply Z) add Z) ->
% (X multiply Y) add Z collapsed.
% Rule [44] ((X multiply Y) add X) add (X add Y) -> X add Y collapsed.
% Rule [45] (X multiply Y) add ((inverse(X) multiply Y) add Y) -> Y collapsed.
% Rule [46] (inverse(X) multiply Y) add ((X multiply Y) add Y) -> Y collapsed.
% Rule [52] ((X multiply Y) add Y) add X -> X add Y collapsed.
% Rule [59] ((X multiply Y) add X) add ((X multiply Y) add Y) -> X add Y
% collapsed.
% Rule
% [66]
% ((inverse(b) multiply X) add d) add ((inverse(a) multiply X) add X) ->
% d add X collapsed.
% Rule
% [67]
% ((inverse(b) multiply X) add X) add ((inverse(a) multiply X) add d) ->
% d add X collapsed.
% Rule [69] (inverse(X) multiply Y) add ((X multiply Y) add X) -> X add Y
% collapsed.
% Current number of equations to process: 44
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced :
% [73] ((X multiply Y) add (X multiply Z)) add Z -> (X multiply Y) add Z
% Current number of equations to process: 43
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced : [74] (X add Y) add X -> X add Y
% Current number of equations to process: 42
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced : [75] ((inverse(b) multiply X) add d) add X -> d add X
% Current number of equations to process: 40
% Current number of ordered equations: 1
% Current number of rules: 47
% New rule produced : [76] ((inverse(a) multiply X) add d) add X -> d add X
% Current number of equations to process: 40
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [77]
% ((c multiply inverse(b)) multiply b) add (d multiply b) -> additive_identity
% Current number of equations to process: 45
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced :
% [78]
% ((c multiply inverse(a)) multiply a) add (d multiply a) -> additive_identity
% Current number of equations to process: 44
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced : [79] (c multiply a) add (c multiply inverse(b)) -> a
% Current number of equations to process: 46
% Current number of ordered equations: 0
% Current number of rules: 51
% Rule [40] (b multiply X) add a <-> (c multiply a) add (c multiply X) is composed into
% [40] (b multiply X) add a -> (c multiply X) add a
% New rule produced : [80] c multiply a -> a
% Rule [42] (c multiply a) add (c multiply X) <-> (b multiply X) add a
% collapsed.
% Rule [79] (c multiply a) add (c multiply inverse(b)) -> a collapsed.
% Current number of equations to process: 47
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced : [81] (c multiply inverse(b)) add a -> a
% Current number of equations to process: 46
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced : [82] (c multiply b) add (c multiply inverse(a)) -> b
% Current number of equations to process: 49
% Current number of ordered equations: 0
% Current number of rules: 52
% Rule [41] (a multiply X) add b -> (c multiply b) add (c multiply X) is composed into
% [41] (a multiply X) add b -> (c multiply X) add b
% New rule produced : [83] c multiply b -> b
% Rule [82] (c multiply b) add (c multiply inverse(a)) -> b collapsed.
% Current number of equations to process: 50
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced : [84] (c multiply inverse(a)) add b -> b
% Current number of equations to process: 49
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced : [85] b multiply inverse(c) -> additive_identity
% Current number of equations to process: 55
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced : [86] (c multiply X) add (b multiply X) -> c multiply X
% Current number of equations to process: 55
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced : [87] a multiply inverse(c) -> additive_identity
% Current number of equations to process: 59
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced : [88] (c multiply X) add (a multiply X) -> c multiply X
% Current number of equations to process: 59
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced : [89] (b add X) add a -> (c add X) add a
% Current number of equations to process: 62
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced :
% [90]
% (a multiply X) add (inverse(b) multiply X) ->
% (d multiply X) add (a multiply X)
% Current number of equations to process: 61
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [91]
% (b multiply X) add (inverse(a) multiply X) ->
% (d multiply X) add (b multiply X)
% Current number of equations to process: 60
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [92]
% ((c multiply inverse(b)) multiply X) add (d multiply X) ->
% inverse(b) multiply X
% Rule
% [77]
% ((c multiply inverse(b)) multiply b) add (d multiply b) -> additive_identity
% collapsed.
% Current number of equations to process: 59
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [93]
% ((c multiply inverse(a)) multiply X) add (d multiply X) ->
% inverse(a) multiply X
% Rule
% [78]
% ((c multiply inverse(a)) multiply a) add (d multiply a) -> additive_identity
% collapsed.
% Current number of equations to process: 58
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced :
% [94] ((inverse(b) multiply X) add d) add b <-> (inverse(a) add X) add b
% Current number of equations to process: 57
% Current number of ordered equations: 2
% Current number of rules: 61
% New rule produced :
% [95] ((inverse(a) multiply X) add d) add a -> (inverse(b) add X) add a
% Current number of equations to process: 57
% Current number of ordered equations: 1
% Current number of rules: 62
% New rule produced :
% [96] (inverse(a) add X) add b <-> ((inverse(b) multiply X) add d) add b
% Current number of equations to process: 57
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced : [97] (a add X) add b -> (c add X) add b
% Current number of equations to process: 62
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced : [98] (X add Y) add inverse(X) -> multiplicative_identity
% Current number of equations to process: 62
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced :
% [99] (inverse(X multiply Y) add Y) add inverse(X) -> multiplicative_identity
% Current number of equations to process: 61
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [100] (c multiply X) multiply (b multiply X) -> b multiply X
% Current number of equations to process: 69
% Current number of ordered equations: 1
% Current number of rules: 67
% New rule produced :
% [101] (c multiply X) multiply (a multiply X) -> a multiply X
% Current number of equations to process: 69
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [102] ((b multiply a) multiply X) add (b multiply X) -> b multiply X
% Current number of equations to process: 67
% Current number of ordered equations: 1
% Current number of rules: 69
% New rule produced :
% [103] ((b multiply a) multiply X) add (a multiply X) -> a multiply X
% Current number of equations to process: 67
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [104]
% (b multiply X) multiply inverse(a multiply X) ->
% (c multiply X) multiply inverse(a multiply X)
% Current number of equations to process: 65
% Current number of ordered equations: 1
% Current number of rules: 71
% New rule produced :
% [105]
% (a multiply X) multiply inverse(b multiply X) ->
% (c multiply X) multiply inverse(b multiply X)
% Current number of equations to process: 65
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced : [106] (X multiply Y) multiply Y -> X multiply Y
% Current number of equations to process: 74
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced :
% [107]
% (inverse(X) multiply Y) multiply inverse(X multiply Y) ->
% inverse(X multiply Y) multiply Y
% Current number of equations to process: 72
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced :
% [108]
% (X multiply Y) multiply inverse(inverse(Y) multiply X) ->
% inverse(inverse(Y) multiply X) multiply X
% Current number of equations to process: 71
% Current number of ordered equations: 0
% Current number of rules: 75
% New rule produced :
% [109] (inverse(inverse(X) multiply Y) add Y) add X -> multiplicative_identity
% Current number of equations to process: 73
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced : [110] (inverse(X) add Y) add X -> multiplicative_identity
% Current number of equations to process: 73
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced :
% [111]
% ((b multiply X) multiply inverse(a)) add d -> (inverse(a) multiply X) add d
% Current number of equations to process: 76
% Current number of ordered equations: 1
% Current number of rules: 78
% New rule produced :
% [112]
% ((a multiply X) multiply inverse(b)) add d -> (inverse(b) multiply X) add d
% Current number of equations to process: 76
% Current number of ordered equations: 0
% Current number of rules: 79
% New rule produced :
% [113]
% ((c multiply inverse(b)) multiply X) add ((b multiply a) multiply X) ->
% a multiply X
% Current number of equations to process: 82
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced :
% [114]
% ((c multiply inverse(a)) multiply X) add ((b multiply a) multiply X) ->
% b multiply X
% Current number of equations to process: 81
% Current number of ordered equations: 0
% Current number of rules: 81
% New rule produced :
% [115] (inverse(inverse(X) add Y) multiply X) add (X multiply Y) -> X
% Current number of equations to process: 98
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced :
% [116]
% (inverse(X add Y) multiply inverse(X)) add (inverse(X) multiply Y) ->
% inverse(X)
% Current number of equations to process: 101
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced :
% [117]
% ((a multiply X) multiply b) add (c multiply inverse(a)) ->
% (c multiply inverse(a)) add (b multiply X)
% Current number of equations to process: 103
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced :
% [118]
% ((b multiply X) multiply a) add (c multiply inverse(b)) ->
% (c multiply inverse(b)) add (a multiply X)
% Current number of equations to process: 102
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced :
% [119]
% (X multiply Y) add inverse(inverse(X) add Y) ->
% inverse(inverse(X) add Y) add X
% Current number of equations to process: 114
% Current number of ordered equations: 1
% Current number of rules: 86
% New rule produced :
% [120]
% (inverse(X) multiply Y) add inverse(X add Y) ->
% inverse(X add Y) add inverse(X)
% Current number of equations to process: 114
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced :
% [121]
% ((c multiply inverse(a)) add (b multiply X)) add inverse(b) ->
% (inverse(a) add X) add inverse(b)
% Current number of equations to process: 113
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced :
% [122]
% ((c multiply inverse(b)) add (a multiply X)) add inverse(a) ->
% (inverse(b) add X) add inverse(a)
% Current number of equations to process: 112
% Current number of ordered equations: 0
% Current number of rules: 89
% New rule produced : [123] 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 [71] (inverse(X add Y) multiply X) add Y -> Y collapsed.
% Current number of equations to process: 115
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced : [124] d add inverse(a) -> inverse(a)
% Current number of equations to process: 114
% Current number of ordered equations: 1
% Current number of rules: 89
% New rule produced : [125] d add inverse(b) -> inverse(b)
% Current number of equations to process: 114
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced : [126] ((X multiply Y) add (X multiply Z)) add X -> X
% Current number of equations to process: 116
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [127] ((Y multiply Z) multiply X) add (X multiply Y) -> X multiply Y
% Rule [102] ((b multiply a) multiply X) add (b multiply X) -> b multiply X
% collapsed.
% Rule [103] ((b multiply a) multiply X) add (a multiply X) -> a multiply X
% collapsed.
% Current number of equations to process: 116
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced :
% [128] ((X multiply Y) add (X multiply Z)) add (Y add Z) -> Y add Z
% Current number of equations to process: 115
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced :
% [129]
% ((Y multiply Z) multiply X) add inverse(Z) -> (X multiply Y) add inverse(Z)
% Current number of equations to process: 116
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [130] inverse(X multiply Y) add X -> multiplicative_identity
% Rule
% [99] (inverse(X multiply Y) add Y) add inverse(X) -> multiplicative_identity
% collapsed.
% Rule
% [109] (inverse(inverse(X) multiply Y) add Y) add X -> multiplicative_identity
% collapsed.
% Current number of equations to process: 127
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced : [131] (inverse(X multiply Y) multiply X) add Y -> X add Y
% Current number of equations to process: 129
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced :
% [132] ((inverse(Z) multiply Y) multiply X) add Z -> (X multiply Y) add Z
% Current number of equations to process: 134
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced :
% [133]
% ((inverse(b) multiply X) add d) add inverse(a) ->
% (inverse(b) multiply X) add inverse(a)
% Current number of equations to process: 132
% Current number of ordered equations: 1
% Current number of rules: 94
% New rule produced :
% [134]
% ((inverse(a) multiply X) add d) add inverse(b) ->
% (inverse(a) multiply X) add inverse(b)
% Current number of equations to process: 132
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced :
% [135]
% ((c multiply inverse(a)) add (b multiply X)) add X ->
% (c multiply inverse(a)) add X
% Current number of equations to process: 131
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced :
% [136]
% ((c multiply inverse(b)) add (a multiply X)) add X ->
% (c multiply inverse(b)) add X
% Current number of equations to process: 130
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced : [137] (d add a) add inverse(b) -> d add a
% Current number of equations to process: 137
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced : [138] (d add b) add inverse(a) -> d add b
% Current number of equations to process: 136
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced : [139] (inverse(X) multiply Y) add (X add Y) -> X add Y
% Current number of equations to process: 136
% Current number of ordered equations: 0
% Current number of rules: 100
% New rule produced :
% [140] (X multiply Y) add (inverse(X) add Y) -> inverse(X) add Y
% Current number of equations to process: 140
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced :
% [141] (b multiply X) add ((c multiply X) add a) -> (c multiply X) add a
% Current number of equations to process: 141
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced :
% [142] (a multiply X) add ((c multiply X) add b) -> (c multiply X) add b
% Current number of equations to process: 140
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced :
% [143] inverse(d) add inverse(b) -> multiplicative_identity
% Current number of equations to process: 142
% Current number of ordered equations: 0
% Current number of rules: 104
% New rule produced : [144] c add inverse(b) -> d add c
% Current number of equations to process: 142
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced :
% [145] ((inverse(b) multiply X) add d) add (d add X) -> d add X
% Current number of equations to process: 142
% Current number of ordered equations: 0
% Current number of rules: 106
% New rule produced :
% [146] inverse(d) add inverse(a) -> multiplicative_identity
% Current number of equations to process: 144
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced : [147] c add inverse(a) -> d add c
% Current number of equations to process: 144
% Current number of ordered equations: 0
% Current number of rules: 108
% Rule [147] c add inverse(a) -> d add c is composed into [147]
% c add inverse(a) ->
% multiplicative_identity
% Rule [144] c add inverse(b) -> d add c is composed into [144]
% c add inverse(b) ->
% multiplicative_identity
% New rule produced : [148] d add c -> multiplicative_identity
% Current number of equations to process: 147
% Current number of ordered equations: 0
% Current number of rules: 109
% New rule produced : [149] (c add X) add inverse(a) -> multiplicative_identity
% Current number of equations to process: 148
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced : [150] (c multiply X) add (inverse(a) multiply X) -> X
% Current number of equations to process: 147
% Current number of ordered equations: 0
% Current number of rules: 111
% New rule produced : [151] (a multiply X) add c -> c
% Current number of equations to process: 149
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced : [152] ((c multiply X) add a) add X -> a add X
% Current number of equations to process: 148
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced : [153] (c multiply X) add (inverse(b) multiply X) -> X
% Current number of equations to process: 151
% Current number of ordered equations: 0
% Current number of rules: 114
% New rule produced : [154] (c add X) add inverse(b) -> multiplicative_identity
% Current number of equations to process: 153
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced : [155] (b multiply X) add c -> c
% Current number of equations to process: 155
% Current number of ordered equations: 0
% Current number of rules: 116
% New rule produced : [156] ((c multiply X) add b) add X -> b add X
% Current number of equations to process: 154
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced : [157] (c multiply X) multiply b -> b multiply X
% Current number of equations to process: 158
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced : [158] inverse(c) add inverse(b) -> inverse(b)
% Current number of equations to process: 160
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced : [159] inverse(c) multiply inverse(b) -> inverse(c)
% Current number of equations to process: 160
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced : [160] (b add X) add c -> c add X
% Current number of equations to process: 161
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced :
% [161] (inverse(c) add X) add inverse(b) -> inverse(b) add X
% Current number of equations to process: 161
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced :
% [162] (inverse(b) multiply X) multiply inverse(c) -> inverse(c) multiply X
% Current number of equations to process: 160
% Current number of ordered equations: 0
% Current number of rules: 123
% New rule produced :
% [163] ((c multiply X) add a) add inverse(c) -> (a add X) add inverse(c)
% Current number of equations to process: 161
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced :
% [164] ((c multiply X) add b) add inverse(c) -> (b add X) add inverse(c)
% Current number of equations to process: 160
% Current number of ordered equations: 0
% Current number of rules: 125
% New rule produced :
% [165]
% (inverse(c) multiply X) add (inverse(b) multiply X) -> inverse(b) multiply X
% Current number of equations to process: 159
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced :
% [166] ((inverse(a) multiply X) add d) add (d add X) -> d add X
% Current number of equations to process: 161
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced :
% [167] ((c multiply inverse(b)) multiply X) add (a multiply X) -> a multiply X
% Current number of equations to process: 160
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced :
% [168] ((c multiply inverse(a)) multiply X) add (b multiply X) -> b multiply X
% Current number of equations to process: 159
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced :
% [169] (b multiply inverse(inverse(c) add X)) add (b multiply X) -> b
% Current number of equations to process: 158
% Current number of ordered equations: 0
% Current number of rules: 130
% New rule produced : [170] (c multiply X) multiply a -> a multiply X
% Current number of equations to process: 160
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced : [171] inverse(c) add inverse(a) -> inverse(a)
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 132
% New rule produced : [172] inverse(c) multiply inverse(a) -> inverse(c)
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced : [173] (a add X) add c -> c add X
% Current number of equations to process: 163
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced :
% [174] (inverse(c) add X) add inverse(a) -> inverse(a) add X
% Current number of equations to process: 163
% Current number of ordered equations: 0
% Current number of rules: 135
% New rule produced :
% [175] (inverse(a) multiply X) multiply inverse(c) -> inverse(c) multiply X
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced :
% [176]
% (inverse(c) multiply X) add (inverse(a) multiply X) -> inverse(a) multiply X
% Current number of equations to process: 163
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced :
% [177] (a multiply inverse(inverse(c) add X)) add (a multiply X) -> a
% Current number of equations to process: 165
% Current number of ordered equations: 0
% Current number of rules: 138
% New rule produced :
% [178] ((inverse(b) multiply X) add c) add a -> (c add X) add a
% Current number of equations to process: 168
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced : [179] ((c add X) add a) add (b add X) -> (c add X) add a
% Current number of equations to process: 169
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced :
% [180]
% (c multiply inverse(a)) add (inverse(b) add inverse(a)) ->
% inverse(b) add inverse(a)
% Current number of equations to process: 168
% Current number of ordered equations: 0
% Current number of rules: 141
% New rule produced :
% [181]
% (c multiply inverse(b)) add (inverse(b) add inverse(a)) ->
% inverse(b) add inverse(a)
% Current number of equations to process: 167
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced :
% [182] (c multiply inverse(a add X)) add ((c multiply X) add a) -> c
% Current number of equations to process: 166
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced :
% [183] (c multiply inverse(b add X)) add ((c multiply X) add b) -> c
% Current number of equations to process: 165
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced :
% [184]
% (b multiply X) add inverse(inverse(c) add X) ->
% b add inverse(inverse(c) add X)
% Current number of equations to process: 163
% Current number of ordered equations: 1
% Current number of rules: 145
% New rule produced :
% [185]
% (inverse(c) multiply X) add inverse(b add X) ->
% inverse(b add X) add inverse(c)
% Current number of equations to process: 163
% Current number of ordered equations: 0
% Current number of rules: 146
% New rule produced :
% [186]
% (a multiply X) add inverse(inverse(c) add X) ->
% a add inverse(inverse(c) add X)
% Current number of equations to process: 161
% Current number of ordered equations: 1
% Current number of rules: 147
% New rule produced :
% [187]
% (inverse(c) multiply X) add inverse(a add X) ->
% inverse(a add X) add inverse(c)
% Current number of equations to process: 161
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced :
% [188] (d multiply inverse(b)) add (c multiply inverse(b)) -> inverse(b)
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 149
% New rule produced : [189] d multiply inverse(a) -> d
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced : [190] (d multiply b) add (b multiply a) -> b multiply a
% Current number of equations to process: 164
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced :
% [191] ((c multiply X) add a) add inverse(a add X) -> c add inverse(a add X)
% Current number of equations to process: 163
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced :
% [192] ((c multiply X) add b) add inverse(b add X) -> c add inverse(b add X)
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced :
% [193]
% (inverse(b add X) multiply inverse(c)) add (inverse(c) multiply X) ->
% inverse(c)
% Current number of equations to process: 161
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced :
% [194]
% (inverse(a add X) multiply inverse(c)) add (inverse(c) multiply X) ->
% inverse(c)
% Current number of equations to process: 160
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced :
% [195] (inverse(b) multiply X) add a -> (d multiply X) add a
% Rule [81] (c multiply inverse(b)) add a -> a collapsed.
% Current number of equations to process: 163
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced : [196] (d multiply c) add a -> a
% Current number of equations to process: 162
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced : [197] d multiply inverse(c) -> inverse(c)
% Current number of equations to process: 163
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced : [198] d multiply inverse(b) -> d
% Rule [188] (d multiply inverse(b)) add (c multiply inverse(b)) -> inverse(b)
% collapsed.
% Current number of equations to process: 164
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced : [199] (d multiply a) add (b multiply a) -> b multiply a
% Current number of equations to process: 166
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced :
% [200]
% ((d multiply X) add (a multiply X)) add inverse(b) ->
% (a multiply X) add inverse(b)
% Current number of equations to process: 165
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced :
% [201] (inverse(a) multiply X) add b -> (d multiply X) add b
% Rule [84] (c multiply inverse(a)) add b -> b collapsed.
% Current number of equations to process: 168
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced : [202] (d multiply c) add b -> b
% Current number of equations to process: 167
% Current number of ordered equations: 0
% Current number of rules: 160
% New rule produced :
% [203]
% ((d multiply X) add (b multiply X)) add inverse(a) ->
% (b multiply X) add inverse(a)
% Current number of equations to process: 167
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced :
% [204]
% (c multiply inverse(b)) multiply inverse(d) -> inverse(d) multiply inverse(b)
% Current number of equations to process: 171
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced :
% [205]
% inverse(c multiply inverse(b)) multiply inverse(b) ->
% d multiply inverse(c multiply inverse(b))
% Current number of equations to process: 170
% Current number of ordered equations: 0
% Current number of rules: 163
% New rule produced :
% [206] (d multiply X) add (inverse(b) multiply X) -> inverse(b) multiply X
% Current number of equations to process: 173
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced :
% [207]
% ((c multiply inverse(b)) multiply X) add d -> (inverse(b) multiply X) add d
% Current number of equations to process: 172
% Current number of ordered equations: 0
% Current number of rules: 165
% New rule produced :
% [208]
% (c multiply inverse(b)) add (inverse(b) multiply X) ->
% (d multiply X) add (c multiply inverse(b))
% Current number of equations to process: 171
% Current number of ordered equations: 0
% Current number of rules: 166
% New rule produced :
% [209]
% (c multiply inverse(a)) multiply inverse(d) -> inverse(d) multiply inverse(a)
% Current number of equations to process: 175
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced :
% [210]
% inverse(c multiply inverse(a)) multiply inverse(a) ->
% d multiply inverse(c multiply inverse(a))
% Current number of equations to process: 174
% Current number of ordered equations: 0
% Current number of rules: 168
% New rule produced :
% [211] (d multiply X) add (inverse(a) multiply X) -> inverse(a) multiply X
% Current number of equations to process: 177
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced :
% [212]
% ((c multiply inverse(a)) multiply X) add d -> (inverse(a) multiply X) add d
% Current number of equations to process: 176
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced :
% [213] ((inverse(a) multiply X) add c) add b -> (c add X) add b
% Current number of equations to process: 189
% Current number of ordered equations: 0
% Current number of rules: 171
% New rule produced :
% [214] a add inverse(c multiply inverse(b)) -> multiplicative_identity
% Current number of equations to process: 203
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced :
% [215] b add inverse(c multiply inverse(a)) -> multiplicative_identity
% Current number of equations to process: 202
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced :
% [216] (c multiply X) add inverse(b multiply X) -> multiplicative_identity
% Current number of equations to process: 201
% Current number of ordered equations: 1
% Current number of rules: 174
% New rule produced :
% [217] (c multiply X) add inverse(a multiply X) -> multiplicative_identity
% Current number of equations to process: 201
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced :
% [218] (inverse(X) add Y) add inverse(X multiply Y) -> multiplicative_identity
% Current number of equations to process: 200
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced :
% [219] (X add Y) add inverse(inverse(X) multiply Y) -> multiplicative_identity
% Current number of equations to process: 199
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced :
% [220]
% inverse((X multiply Y) add (Y multiply Z)) add Y -> multiplicative_identity
% Current number of equations to process: 205
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced :
% [221]
% ((c multiply X) add b) add inverse(a multiply X) -> multiplicative_identity
% Current number of equations to process: 204
% Current number of ordered equations: 0
% Current number of rules: 179
% New rule produced :
% [222]
% ((c multiply X) add a) add inverse(b multiply X) -> multiplicative_identity
% Current number of equations to process: 203
% Current number of ordered equations: 0
% Current number of rules: 180
% New rule produced :
% [223]
% (X multiply Y) add inverse((Y multiply Z) multiply X) ->
% multiplicative_identity
% Current number of equations to process: 202
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced :
% [224]
% (inverse(b) multiply X) add inverse(d multiply X) -> multiplicative_identity
% Current number of equations to process: 215
% Current number of ordered equations: 0
% Current number of rules: 182
% New rule produced :
% [225]
% (inverse(a) multiply X) add inverse(d multiply X) -> multiplicative_identity
% Current number of equations to process: 214
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced :
% [226] ((c add X) add a) add inverse(b add X) -> multiplicative_identity
% Current number of equations to process: 213
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced :
% [227] ((c add X) add b) add inverse(a add X) -> multiplicative_identity
% Current number of equations to process: 212
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced :
% [228]
% ((c multiply X) add Y) add inverse(b multiply X) -> multiplicative_identity
% Rule
% [222]
% ((c multiply X) add a) add inverse(b multiply X) -> multiplicative_identity
% collapsed.
% Current number of equations to process: 218
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced : [229] (b multiply X) multiply c -> b multiply X
% Current number of equations to process: 223
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced : [230] ((c add X) add b) add (a add X) -> (c add X) add b
% Current number of equations to process: 221
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced :
% [231]
% (inverse(b) add inverse(a)) add inverse(c multiply inverse(a)) ->
% multiplicative_identity
% Current number of equations to process: 220
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced :
% [232]
% (inverse(b) add inverse(a)) add inverse(c multiply inverse(b)) ->
% multiplicative_identity
% Current number of equations to process: 219
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced :
% [233]
% (d add X) add inverse((inverse(b) multiply X) add d) ->
% multiplicative_identity
% Current number of equations to process: 217
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced :
% [234]
% (d add X) add inverse((inverse(a) multiply X) add d) ->
% multiplicative_identity
% Current number of equations to process: 216
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced :
% [235] ((c multiply X) multiply inverse(b)) add (b multiply X) -> c multiply X
% Current number of equations to process: 215
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced :
% [236] ((b multiply X) multiply Y) add (c multiply X) -> c multiply X
% Current number of equations to process: 217
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced :
% [237]
% ((c multiply X) add Y) add inverse(a multiply X) -> multiplicative_identity
% Rule
% [221]
% ((c multiply X) add b) add inverse(a multiply X) -> multiplicative_identity
% collapsed.
% Current number of equations to process: 223
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced : [238] (a multiply X) multiply c -> a multiply X
% Current number of equations to process: 227
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced :
% [239] ((c multiply X) multiply inverse(a)) add (a multiply X) -> c multiply X
% Current number of equations to process: 225
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced :
% [240] ((a multiply X) multiply Y) add (c multiply X) -> c multiply X
% Current number of equations to process: 227
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced :
% [241] (inverse(Y) multiply X) add ((X multiply Y) add (X multiply Z)) -> X
% Current number of equations to process: 226
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced :
% [242]
% ((c multiply X) multiply Y) add inverse((b multiply X) multiply Y) ->
% multiplicative_identity
% Current number of equations to process: 224
% Current number of ordered equations: 1
% Current number of rules: 198
% New rule produced :
% [243]
% ((c multiply X) multiply Y) add inverse((a multiply X) multiply Y) ->
% multiplicative_identity
% Current number of equations to process: 224
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced :
% [244]
% (((d multiply X) add (c multiply inverse(b))) add d) add b ->
% multiplicative_identity
% Current number of equations to process: 223
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced :
% [245] ((c multiply Y) multiply X) add (inverse(b multiply Y) multiply X) -> X
% Current number of equations to process: 222
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced :
% [246] ((c multiply Y) multiply X) add (inverse(a multiply Y) multiply X) -> X
% Current number of equations to process: 221
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [247]
% (c multiply inverse(a)) add (inverse(a) multiply X) ->
% (d multiply X) add (c multiply inverse(a))
% Current number of equations to process: 224
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [248] (b multiply a) multiply inverse(a) -> additive_identity
% Current number of equations to process: 226
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [249] (b multiply a) multiply inverse(b) -> additive_identity
% Current number of equations to process: 251
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced :
% [250] (X add Y) add inverse(X multiply Z) -> multiplicative_identity
% Rule
% [218] (inverse(X) add Y) add inverse(X multiply Y) -> multiplicative_identity
% collapsed.
% Rule
% [219] (X add Y) add inverse(inverse(X) multiply Y) -> multiplicative_identity
% collapsed.
% Rule
% [231]
% (inverse(b) add inverse(a)) add inverse(c multiply inverse(a)) ->
% multiplicative_identity collapsed.
% Rule
% [232]
% (inverse(b) add inverse(a)) add inverse(c multiply inverse(b)) ->
% multiplicative_identity collapsed.
% Current number of equations to process: 274
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced :
% [251] ((X multiply Y) multiply Z) multiply X -> (X multiply Y) multiply Z
% Current number of equations to process: 277
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced :
% [252] (inverse(Y multiply Z) multiply X) add (X multiply Z) -> X
% Current number of equations to process: 277
% Current number of ordered equations: 0
% Current number of rules: 204
% Rule [96] (inverse(a) add X) add b <-> ((inverse(b) multiply X) add d) add b is composed into
% [96] (inverse(a) add X) add b -> (d add X) add b
% New rule produced :
% [253] ((inverse(Z) multiply X) add Y) add Z -> (X add Y) add Z
% Rule
% [63]
% ((inverse(X) multiply Y) add (inverse(X) multiply Z)) add X ->
% (Y add Z) add X collapsed.
% Rule [94] ((inverse(b) multiply X) add d) add b <-> (inverse(a) add X) add b
% collapsed.
% Rule [95] ((inverse(a) multiply X) add d) add a -> (inverse(b) add X) add a
% collapsed.
% Current number of equations to process: 277
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced : [254] (inverse(b) add X) add a -> (d add X) add a
% Current number of equations to process: 276
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced : [255] ((X multiply Y) multiply Z) add X -> X
% Current number of equations to process: 277
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced : [256] (d multiply X) multiply inverse(b) -> d multiply X
% Current number of equations to process: 279
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced : [257] (d multiply X) multiply inverse(a) -> d multiply X
% Current number of equations to process: 279
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [258]
% ((a multiply X) multiply b) multiply inverse(a multiply X) ->
% additive_identity
% Current number of equations to process: 282
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [259]
% ((b multiply X) multiply a) multiply inverse(b multiply X) ->
% additive_identity
% Current number of equations to process: 281
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [260] ((X multiply Z) add Y) add inverse(Z) -> (X add Y) add inverse(Z)
% Rule
% [60]
% ((X multiply Y) add (X multiply Z)) add inverse(X) ->
% (Y add Z) add inverse(X) collapsed.
% Rule
% [121]
% ((c multiply inverse(a)) add (b multiply X)) add inverse(b) ->
% (inverse(a) add X) add inverse(b) collapsed.
% Rule
% [122]
% ((c multiply inverse(b)) add (a multiply X)) add inverse(a) ->
% (inverse(b) add X) add inverse(a) collapsed.
% Rule [163] ((c multiply X) add a) add inverse(c) -> (a add X) add inverse(c)
% collapsed.
% Rule [164] ((c multiply X) add b) add inverse(c) -> (b add X) add inverse(c)
% collapsed.
% Current number of equations to process: 282
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced :
% [261]
% ((b multiply X) multiply Y) multiply (c multiply X) ->
% (b multiply X) multiply Y
% Current number of equations to process: 279
% Current number of ordered equations: 1
% Current number of rules: 205
% New rule produced :
% [262]
% ((a multiply X) multiply Y) multiply (c multiply X) ->
% (a multiply X) multiply Y
% Current number of equations to process: 279
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced :
% [263]
% ((c multiply inverse(a)) add X) add inverse(b) ->
% (inverse(a) add X) add inverse(b)
% Current number of equations to process: 278
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced :
% [264]
% ((c multiply inverse(b)) add X) add inverse(a) ->
% (inverse(b) add X) add inverse(a)
% Current number of equations to process: 277
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced :
% [265]
% (c multiply inverse(a)) multiply inverse(b multiply a) ->
% b multiply inverse(b multiply a)
% Current number of equations to process: 286
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced :
% [266]
% (c multiply inverse(b)) multiply inverse(b multiply a) ->
% a multiply inverse(b multiply a)
% Current number of equations to process: 285
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced :
% [267]
% (b multiply a) multiply inverse(c multiply inverse(a)) ->
% b multiply inverse(c multiply inverse(a))
% Current number of equations to process: 284
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced :
% [268]
% (b multiply a) multiply inverse(c multiply inverse(b)) ->
% a multiply inverse(c multiply inverse(b))
% Current number of equations to process: 283
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced :
% [269]
% ((X multiply Y) multiply inverse(Y)) multiply inverse(X multiply Y) ->
% additive_identity
% Current number of equations to process: 307
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced :
% [270]
% (inverse(X multiply Y) multiply Y) add (inverse(X) multiply Y) ->
% inverse(X) multiply Y
% Current number of equations to process: 309
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced :
% [271]
% (c multiply X) multiply inverse(inverse(b) multiply X) ->
% inverse(inverse(b) multiply X) multiply X
% Current number of equations to process: 318
% Current number of ordered equations: 1
% Current number of rules: 215
% New rule produced :
% [272]
% (c multiply X) multiply inverse(inverse(a) multiply X) ->
% inverse(inverse(a) multiply X) multiply X
% Current number of equations to process: 318
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced :
% [273]
% ((b multiply X) multiply Y) add (a multiply X) ->
% ((c multiply X) multiply Y) add (a multiply X)
% Current number of equations to process: 325
% Current number of ordered equations: 1
% Current number of rules: 217
% New rule produced :
% [274]
% ((a multiply X) multiply Y) add (b multiply X) ->
% ((c multiply X) multiply Y) add (b multiply X)
% Current number of equations to process: 325
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced :
% [275]
% ((inverse(Z) multiply Y) multiply X) add (Y multiply Z) ->
% (X multiply Y) add (Y multiply Z)
% Current number of equations to process: 324
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced :
% [276]
% ((c multiply X) multiply Y) add ((b multiply X) multiply Y) ->
% (c multiply X) multiply Y
% Current number of equations to process: 322
% Current number of ordered equations: 1
% Current number of rules: 220
% New rule produced :
% [277]
% ((c multiply X) multiply Y) add ((a multiply X) multiply Y) ->
% (c multiply X) multiply Y
% Current number of equations to process: 322
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced :
% [278]
% ((d multiply X) add (a multiply X)) add inverse(inverse(b) multiply X) ->
% multiplicative_identity
% Current number of equations to process: 319
% Current number of ordered equations: 0
% Current number of rules: 222
% New rule produced :
% [279]
% ((d multiply X) add (b multiply X)) add inverse(inverse(a) multiply X) ->
% multiplicative_identity
% Current number of equations to process: 318
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced :
% [280]
% (((c multiply X) multiply Y) add (b multiply X)) add Y ->
% (b multiply X) add Y
% Current number of equations to process: 313
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced :
% [281]
% (((c multiply X) multiply Y) add (a multiply X)) add Y ->
% (a multiply X) add Y
% Current number of equations to process: 309
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced :
% [282]
% (a multiply X) add ((b multiply X) add Y) ->
% (a multiply X) add ((c multiply X) add Y)
% Current number of equations to process: 308
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced :
% [283]
% ((c multiply X) multiply inverse(a multiply X)) add (b multiply X) ->
% b multiply X
% Current number of equations to process: 306
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced :
% [284]
% (b multiply X) add ((a multiply X) add Y) ->
% (b multiply X) add ((c multiply X) add Y)
% Current number of equations to process: 305
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced :
% [285]
% ((c multiply X) multiply inverse(b multiply X)) add (a multiply X) ->
% a multiply X
% Current number of equations to process: 303
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced :
% [286]
% ((b multiply X) multiply inverse(c multiply X)) multiply inverse(b multiply X)
% -> additive_identity
% Current number of equations to process: 302
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced :
% [287]
% ((a multiply X) multiply inverse(c multiply X)) multiply inverse(a multiply X)
% -> additive_identity
% Current number of equations to process: 301
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced :
% [288]
% a multiply inverse(c multiply inverse(a)) ->
% c multiply inverse(c multiply inverse(a))
% Current number of equations to process: 308
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced :
% [289]
% b multiply inverse(c multiply inverse(b)) ->
% c multiply inverse(c multiply inverse(b))
% Current number of equations to process: 307
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced :
% [290] ((inverse(b) add X) add c) add a -> multiplicative_identity
% Current number of equations to process: 323
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced :
% [291] ((inverse(a) add X) add c) add b -> multiplicative_identity
% Current number of equations to process: 323
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced :
% [292]
% (inverse(inverse(X) multiply Y) multiply Y) add (X multiply Y) ->
% X multiply Y
% Current number of equations to process: 322
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced :
% [293]
% ((inverse(X) multiply Y) multiply X) multiply inverse(inverse(X) multiply Y)
% -> additive_identity
% Current number of equations to process: 321
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced :
% [294] (X multiply Y) add ((inverse(Y) multiply X) add (X multiply Z)) -> X
% Current number of equations to process: 320
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced : [295] d add inverse(c) -> d
% Current number of equations to process: 326
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced :
% [296]
% (b multiply X) add ((inverse(a) multiply X) add d) -> (b multiply X) add d
% Current number of equations to process: 326
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced :
% [297]
% (a multiply X) add ((inverse(b) multiply X) add d) -> (a multiply X) add d
% Current number of equations to process: 332
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced :
% [298]
% ((c multiply inverse(a)) add (b multiply X)) add inverse(a) ->
% (b multiply X) add inverse(a)
% Current number of equations to process: 332
% Current number of ordered equations: 1
% Current number of rules: 242
% New rule produced :
% [299]
% ((d multiply X) add (c multiply inverse(a))) add b -> (d multiply X) add b
% Current number of equations to process: 332
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced :
% [300]
% ((c multiply inverse(b)) add (a multiply X)) add inverse(b) ->
% (a multiply X) add inverse(b)
% Current number of equations to process: 330
% Current number of ordered equations: 1
% Current number of rules: 244
% New rule produced :
% [301]
% ((d multiply X) add (c multiply inverse(b))) add a -> (d multiply X) add a
% Current number of equations to process: 330
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced :
% [302]
% ((X multiply Y) multiply Z) add (inverse(X) multiply Y) ->
% (inverse(X) multiply Y) add (Y multiply Z)
% Current number of equations to process: 329
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced :
% [303]
% (((inverse(b) multiply X) add d) add c) add a <->
% ((inverse(a) add X) add c) add a
% Current number of equations to process: 328
% Current number of ordered equations: 1
% Current number of rules: 247
% New rule produced :
% [304]
% ((inverse(a) add X) add c) add a <->
% (((inverse(b) multiply X) add d) add c) add a
% Current number of equations to process: 328
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced :
% [305]
% (((inverse(a) multiply X) add d) add c) add b ->
% ((inverse(b) add X) add c) add b
% Current number of equations to process: 327
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced :
% [306]
% (inverse(X multiply Y) multiply Y) multiply (inverse(X) multiply Y) ->
% inverse(X multiply Y) multiply Y
% Current number of equations to process: 326
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced :
% [307]
% (a multiply X) add inverse((c multiply inverse(b)) multiply X) ->
% multiplicative_identity
% Current number of equations to process: 329
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced :
% [308]
% ((c multiply inverse(b)) multiply X) multiply a ->
% (c multiply inverse(b)) multiply X
% Current number of equations to process: 329
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced :
% [309]
% ((c multiply inverse(b)) multiply X) add (b multiply a) ->
% (b multiply a) add (a multiply X)
% Current number of equations to process: 328
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced :
% [310]
% ((b multiply a) multiply X) add (c multiply inverse(b)) ->
% (c multiply inverse(b)) add (a multiply X)
% Current number of equations to process: 330
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced :
% [311]
% (b multiply X) add inverse((c multiply inverse(a)) multiply X) ->
% multiplicative_identity
% Current number of equations to process: 333
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced :
% [312]
% ((c multiply inverse(a)) multiply X) multiply b ->
% (c multiply inverse(a)) multiply X
% Current number of equations to process: 333
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced :
% [313] (inverse(d add b) multiply inverse(b)) add d -> inverse(b)
% Current number of equations to process: 335
% Current number of ordered equations: 1
% Current number of rules: 257
% New rule produced :
% [314] (inverse(d add a) multiply inverse(a)) add d -> inverse(a)
% Current number of equations to process: 335
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced :
% [315] (b multiply a) add (b multiply inverse(d add a)) -> b
% Current number of equations to process: 340
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced :
% [316] (b multiply a) add (a multiply inverse(d add b)) -> a
% Current number of equations to process: 339
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced : [317] (c multiply inverse(a add inverse(c))) add a -> c
% Current number of equations to process: 342
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced : [318] (c multiply inverse(b add inverse(c))) add b -> c
% Current number of equations to process: 341
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced :
% [319] (inverse(inverse(X) add Y) multiply X) add Y -> X add Y
% Rule [317] (c multiply inverse(a add inverse(c))) add a -> c collapsed.
% Rule [318] (c multiply inverse(b add inverse(c))) add b -> c collapsed.
% Current number of equations to process: 340
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced :
% [320]
% ((c multiply inverse(a)) multiply X) add (b multiply a) ->
% (b multiply a) add (b multiply X)
% Current number of equations to process: 345
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced :
% [321]
% (c multiply inverse(a)) add (b multiply inverse(inverse(b) add inverse(a)))
% -> b
% Current number of equations to process: 344
% Current number of ordered equations: 0
% Current number of rules: 263
% New rule produced :
% [322]
% (c multiply inverse(b)) add (a multiply inverse(inverse(b) add inverse(a)))
% -> a
% Current number of equations to process: 343
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced :
% [323] (inverse(X add Y) multiply inverse(X)) add Y -> inverse(X) add Y
% Rule [313] (inverse(d add b) multiply inverse(b)) add d -> inverse(b)
% collapsed.
% Rule [314] (inverse(d add a) multiply inverse(a)) add d -> inverse(a)
% collapsed.
% Current number of equations to process: 367
% Current number of ordered equations: 0
% Current number of rules: 263
% New rule produced :
% [324] inverse(X add Y) multiply inverse(X) -> inverse(X add Y)
% Rule
% [116]
% (inverse(X add Y) multiply inverse(X)) add (inverse(X) multiply Y) ->
% inverse(X) collapsed.
% Rule [323] (inverse(X add Y) multiply inverse(X)) add Y -> inverse(X) add Y
% collapsed.
% Current number of equations to process: 382
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced : [325] inverse(X add Y) add Y -> inverse(X) add Y
% Current number of equations to process: 381
% Current number of ordered equations: 0
% Current number of rules: 263
% Rule [120]
% (inverse(X) multiply Y) add inverse(X add Y) ->
% inverse(X add Y) add inverse(X) is composed into [120]
% (inverse(X) multiply Y) add
% inverse(X add Y) ->
% inverse(X)
% New rule produced : [326] inverse(X add Y) add inverse(X) -> inverse(X)
% Current number of equations to process: 380
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced :
% [327]
% ((b multiply a) multiply X) add (c multiply inverse(a)) ->
% (c multiply inverse(a)) add (b multiply X)
% Current number of equations to process: 379
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced :
% [328] (b multiply a) add inverse(d add a) -> b add inverse(d add a)
% Current number of equations to process: 398
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced :
% [329] (b multiply a) add inverse(d add b) -> a add inverse(d add b)
% Current number of equations to process: 397
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced : [330] c add inverse(a add inverse(c)) -> c
% Current number of equations to process: 399
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced : [331] c add inverse(b add inverse(c)) -> c
% Current number of equations to process: 399
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [332] (c multiply inverse(a)) add inverse(inverse(b) add inverse(a)) -> b
% Current number of equations to process: 407
% Current number of ordered equations: 0
% Current number of rules: 270
% Rule [119]
% (X multiply Y) add inverse(inverse(X) add Y) ->
% inverse(inverse(X) add Y) add X is composed into [119]
% (X multiply Y) add
% inverse(inverse(X) add Y)
% -> X
% New rule produced : [333] inverse(inverse(X) add Y) add X -> X
% Rule [330] c add inverse(a add inverse(c)) -> c collapsed.
% Rule [331] c add inverse(b add inverse(c)) -> c collapsed.
% Current number of equations to process: 411
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced :
% [334] inverse(X multiply Y) add inverse(Y) -> inverse(X multiply Y)
% Current number of equations to process: 418
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced : [335] b add inverse(d) -> inverse(d)
% Current number of equations to process: 420
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced : [336] a add inverse(d) -> inverse(d)
% Current number of equations to process: 421
% Current number of ordered equations: 0
% Current number of rules: 272
% New rule produced :
% [337]
% inverse(c multiply inverse(b)) add inverse(a) ->
% inverse(c multiply inverse(b))
% Current number of equations to process: 423
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [338]
% inverse(c multiply inverse(a)) add inverse(b) ->
% inverse(c multiply inverse(a))
% Current number of equations to process: 422
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced :
% [339]
% inverse(c multiply X) add inverse(b multiply X) -> inverse(b multiply X)
% Current number of equations to process: 421
% Current number of ordered equations: 1
% Current number of rules: 275
% New rule produced :
% [340]
% inverse(c multiply X) add inverse(a multiply X) -> inverse(a multiply X)
% Current number of equations to process: 421
% Current number of ordered equations: 0
% Current number of rules: 276
% New rule produced :
% [341]
% (d multiply inverse(c multiply inverse(b))) add b ->
% inverse(c multiply inverse(b))
% Current number of equations to process: 420
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced :
% [342]
% (d multiply inverse(c multiply inverse(a))) add a ->
% inverse(c multiply inverse(a))
% Current number of equations to process: 419
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced :
% [343] inverse(inverse(X) add Y) multiply X -> inverse(inverse(X) add Y)
% Rule [115] (inverse(inverse(X) add Y) multiply X) add (X multiply Y) -> X
% collapsed.
% Rule [319] (inverse(inverse(X) add Y) multiply X) add Y -> X add Y collapsed.
% Rule
% [321]
% (c multiply inverse(a)) add (b multiply inverse(inverse(b) add inverse(a)))
% -> b collapsed.
% Rule
% [322]
% (c multiply inverse(b)) add (a multiply inverse(inverse(b) add inverse(a)))
% -> a collapsed.
% Current number of equations to process: 444
% Current number of ordered equations: 0
% Current number of rules: 275
% New rule produced :
% [344] (c multiply inverse(b)) add inverse(inverse(b) add inverse(a)) -> a
% Current number of equations to process: 443
% Current number of ordered equations: 0
% Current number of rules: 276
% New rule produced :
% [345] (inverse(a) multiply X) multiply inverse(d add X) -> additive_identity
% Current number of equations to process: 457
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced :
% [346] (inverse(X add Y) multiply Z) multiply inverse(Z) -> additive_identity
% Current number of equations to process: 463
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced :
% [347] (X multiply Y) multiply inverse(X) -> additive_identity
% Rule [248] (b multiply a) multiply inverse(a) -> additive_identity collapsed.
% Rule [249] (b multiply a) multiply inverse(b) -> additive_identity collapsed.
% Rule
% [258]
% ((a multiply X) multiply b) multiply inverse(a multiply X) ->
% additive_identity collapsed.
% Rule
% [259]
% ((b multiply X) multiply a) multiply inverse(b multiply X) ->
% additive_identity collapsed.
% Rule
% [269]
% ((X multiply Y) multiply inverse(Y)) multiply inverse(X multiply Y) ->
% additive_identity collapsed.
% Rule
% [286]
% ((b multiply X) multiply inverse(c multiply X)) multiply inverse(b multiply X)
% -> additive_identity collapsed.
% Rule
% [287]
% ((a multiply X) multiply inverse(c multiply X)) multiply inverse(a multiply X)
% -> additive_identity collapsed.
% Rule
% [293]
% ((inverse(X) multiply Y) multiply X) multiply inverse(inverse(X) multiply Y)
% -> additive_identity collapsed.
% Rule
% [346] (inverse(X add Y) multiply Z) multiply inverse(Z) -> additive_identity
% collapsed.
% Current number of equations to process: 469
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced : [348] d multiply b -> additive_identity
% Rule [190] (d multiply b) add (b multiply a) -> b multiply a collapsed.
% Current number of equations to process: 475
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced : [349] d multiply a -> additive_identity
% Rule [199] (d multiply a) add (b multiply a) -> b multiply a collapsed.
% Current number of equations to process: 475
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced :
% [350] inverse(d add a) multiply inverse(b) -> additive_identity
% Current number of equations to process: 480
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced :
% [351] inverse(d add b) multiply inverse(a) -> additive_identity
% Current number of equations to process: 479
% Current number of ordered equations: 0
% Current number of rules: 272
% New rule produced :
% [352] (c multiply inverse(b)) multiply inverse(a) -> additive_identity
% Current number of equations to process: 478
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [353] (c multiply inverse(a)) multiply inverse(b) -> additive_identity
% Current number of equations to process: 477
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced : [354] (c multiply inverse(a add X)) add b -> b
% Current number of equations to process: 477
% Current number of ordered equations: 0
% Current number of rules: 275
% New rule produced :
% [355] (b multiply X) multiply inverse(c multiply X) -> additive_identity
% Current number of equations to process: 475
% Current number of ordered equations: 1
% Current number of rules: 276
% New rule produced :
% [356] (a multiply X) multiply inverse(c multiply X) -> additive_identity
% Current number of equations to process: 475
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced : [357] (c multiply inverse(b add X)) add a -> a
% Current number of equations to process: 474
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced :
% [358] a multiply inverse(b add X) -> c multiply inverse(b add X)
% Rule [316] (b multiply a) add (a multiply inverse(d add b)) -> a collapsed.
% Current number of equations to process: 473
% Current number of ordered equations: 1
% Current number of rules: 278
% New rule produced :
% [359] b multiply inverse(a add X) -> c multiply inverse(a add X)
% Rule [315] (b multiply a) add (b multiply inverse(d add a)) -> b collapsed.
% Current number of equations to process: 474
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced :
% [360] (X multiply Y) multiply inverse(inverse(X) add Y) -> additive_identity
% Current number of equations to process: 473
% Current number of ordered equations: 0
% Current number of rules: 279
% New rule produced :
% [361] (inverse(X) multiply Y) multiply inverse(X add Y) -> additive_identity
% Current number of equations to process: 472
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced : [362] b multiply inverse(c add X) -> additive_identity
% Current number of equations to process: 490
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced : [363] a multiply inverse(c add X) -> additive_identity
% Current number of equations to process: 490
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced :
% [364] (inverse(b) multiply X) multiply inverse(d add X) -> additive_identity
% Current number of equations to process: 510
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced :
% [365]
% (d multiply X) multiply inverse(inverse(b) multiply X) -> additive_identity
% Current number of equations to process: 509
% Current number of ordered equations: 0
% Current number of rules: 284
% New rule produced :
% [366]
% (d multiply X) multiply inverse(inverse(a) multiply X) -> additive_identity
% Current number of equations to process: 508
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced : [367] (inverse(b add X) multiply inverse(a)) add d -> d
% Current number of equations to process: 507
% Current number of ordered equations: 0
% Current number of rules: 286
% New rule produced : [368] (inverse(a add X) multiply inverse(b)) add d -> d
% Current number of equations to process: 506
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [369] inverse(a add X) multiply inverse(b) -> d multiply inverse(a add X)
% Rule [350] inverse(d add a) multiply inverse(b) -> additive_identity
% collapsed.
% Rule [368] (inverse(a add X) multiply inverse(b)) add d -> d collapsed.
% Current number of equations to process: 513
% Current number of ordered equations: 0
% Current number of rules: 286
% New rule produced :
% [370] inverse(b add X) multiply inverse(a) -> d multiply inverse(b add X)
% Rule [351] inverse(d add b) multiply inverse(a) -> additive_identity
% collapsed.
% Rule [367] (inverse(b add X) multiply inverse(a)) add d -> d collapsed.
% Current number of equations to process: 512
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced :
% [371] (inverse(X) multiply Y) multiply X -> additive_identity
% Current number of equations to process: 516
% Current number of ordered equations: 0
% Current number of rules: 286
% New rule produced :
% [372] (c multiply inverse(d add a)) add (b multiply a) -> b
% Current number of equations to process: 515
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [373] (c multiply inverse(d add b)) add (b multiply a) -> a
% Current number of equations to process: 514
% Current number of ordered equations: 0
% Current number of rules: 288
% New rule produced :
% [374]
% (a multiply X) multiply inverse((c multiply X) add b) -> additive_identity
% Current number of equations to process: 513
% Current number of ordered equations: 0
% Current number of rules: 289
% New rule produced :
% [375]
% (b multiply X) multiply inverse((c multiply X) add a) -> additive_identity
% Current number of equations to process: 512
% Current number of ordered equations: 0
% Current number of rules: 290
% New rule produced :
% [376]
% ((X multiply Y) multiply Z) multiply inverse(X multiply Z) ->
% additive_identity
% Current number of equations to process: 511
% Current number of ordered equations: 0
% Current number of rules: 291
% New rule produced :
% [377]
% (X multiply Y) multiply inverse((X multiply Z) add Y) -> additive_identity
% Current number of equations to process: 510
% Current number of ordered equations: 0
% Current number of rules: 292
% New rule produced :
% [378]
% (c multiply inverse(a)) multiply inverse(inverse(b) add inverse(a)) ->
% additive_identity
% Current number of equations to process: 507
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced :
% [379]
% (c multiply inverse(b)) multiply inverse(inverse(b) add inverse(a)) ->
% additive_identity
% Current number of equations to process: 506
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced :
% [380]
% ((c multiply inverse(b)) multiply X) multiply inverse(a multiply X) ->
% additive_identity
% Current number of equations to process: 504
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced :
% [381]
% ((c multiply inverse(a)) multiply X) multiply inverse(b multiply X) ->
% additive_identity
% Current number of equations to process: 503
% Current number of ordered equations: 0
% Current number of rules: 296
% New rule produced :
% [382]
% (inverse(X) multiply Y) multiply inverse(X add Z) ->
% inverse(X add Z) multiply Y
% Rule
% [361] (inverse(X) multiply Y) multiply inverse(X add Y) -> additive_identity
% collapsed.
% Current number of equations to process: 502
% Current number of ordered equations: 0
% Current number of rules: 296
% New rule produced :
% [383] ((inverse(b) multiply X) add d) add inverse(b) -> inverse(b)
% Current number of equations to process: 509
% Current number of ordered equations: 1
% Current number of rules: 297
% New rule produced :
% [384] ((inverse(a) multiply X) add d) add inverse(a) -> inverse(a)
% Current number of equations to process: 509
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced :
% [385] ((c multiply inverse(a)) add (b multiply X)) add b -> b
% Current number of equations to process: 508
% Current number of ordered equations: 0
% Current number of rules: 299
% New rule produced :
% [386] ((c multiply inverse(b)) add (a multiply X)) add a -> a
% Current number of equations to process: 507
% Current number of ordered equations: 0
% Current number of rules: 300
% New rule produced :
% [387] (((b multiply X) add (b multiply Y)) add c) add a -> c
% Current number of equations to process: 515
% Current number of ordered equations: 0
% Current number of rules: 301
% New rule produced :
% [388] (((a multiply X) add (a multiply Y)) add c) add b -> c
% Current number of equations to process: 514
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced :
% [389]
% ((d multiply X) add (c multiply inverse(a))) add inverse(a) -> inverse(a)
% Current number of equations to process: 514
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced :
% [390]
% ((d multiply X) add (c multiply inverse(b))) add inverse(b) -> inverse(b)
% Current number of equations to process: 513
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced :
% [391]
% ((b multiply X) multiply Y) multiply inverse((c multiply X) multiply Y) ->
% additive_identity
% Current number of equations to process: 511
% Current number of ordered equations: 1
% Current number of rules: 305
% New rule produced :
% [392]
% ((a multiply X) multiply Y) multiply inverse((c multiply X) multiply Y) ->
% additive_identity
% Current number of equations to process: 511
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced :
% [393]
% (inverse(inverse(Y) add Z) multiply X) add (X multiply Y) -> X multiply Y
% Current number of equations to process: 510
% Current number of ordered equations: 0
% Current number of rules: 307
% New rule produced :
% [394]
% (X multiply Y) multiply inverse(inverse(X) add Z) ->
% inverse(inverse(X) add Z) multiply Y
% Rule
% [360] (X multiply Y) multiply inverse(inverse(X) add Y) -> additive_identity
% collapsed.
% Current number of equations to process: 509
% Current number of ordered equations: 0
% Current number of rules: 307
% New rule produced :
% [395]
% (c multiply inverse(b)) multiply inverse(d add X) ->
% inverse(d add X) multiply inverse(b)
% Current number of equations to process: 507
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [396]
% (c multiply inverse(a)) multiply inverse(d add X) ->
% inverse(d add X) multiply inverse(a)
% Current number of equations to process: 505
% Current number of ordered equations: 0
% Current number of rules: 309
% New rule produced :
% [397] ((inverse(b) multiply X) multiply inverse(a)) add d -> d
% Current number of equations to process: 505
% Current number of ordered equations: 1
% Current number of rules: 310
% New rule produced :
% [398] ((inverse(a) multiply X) multiply inverse(b)) add d -> d
% Current number of equations to process: 505
% Current number of ordered equations: 0
% Current number of rules: 311
% New rule produced :
% [399]
% ((b multiply X) multiply d) add (c multiply inverse(a)) ->
% c multiply inverse(a)
% Current number of equations to process: 513
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [400]
% ((a multiply X) multiply d) add (c multiply inverse(b)) ->
% c multiply inverse(b)
% Current number of equations to process: 512
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [401] (b multiply X) multiply inverse(c) -> additive_identity
% Current number of equations to process: 512
% Current number of ordered equations: 1
% Current number of rules: 314
% New rule produced :
% [402] (inverse(c) multiply X) multiply b -> additive_identity
% Current number of equations to process: 512
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced :
% [403] (a multiply X) multiply inverse(c) -> additive_identity
% Current number of equations to process: 512
% Current number of ordered equations: 1
% Current number of rules: 316
% New rule produced :
% [404] (inverse(c) multiply X) multiply a -> additive_identity
% Current number of equations to process: 512
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced :
% [405] (X multiply Y) multiply inverse(X add Z) -> additive_identity
% Rule
% [345] (inverse(a) multiply X) multiply inverse(d add X) -> additive_identity
% collapsed.
% Rule
% [364] (inverse(b) multiply X) multiply inverse(d add X) -> additive_identity
% collapsed.
% Rule
% [377]
% (X multiply Y) multiply inverse((X multiply Z) add Y) -> additive_identity
% collapsed.
% Rule
% [378]
% (c multiply inverse(a)) multiply inverse(inverse(b) add inverse(a)) ->
% additive_identity collapsed.
% Rule
% [379]
% (c multiply inverse(b)) multiply inverse(inverse(b) add inverse(a)) ->
% additive_identity collapsed.
% Current number of equations to process: 529
% Current number of ordered equations: 1
% Current number of rules: 313
% New rule produced :
% [406] (inverse(X add Y) multiply Z) multiply X -> additive_identity
% Current number of equations to process: 529
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [407]
% (inverse(X add Z) multiply Y) add (inverse(X) multiply Y) ->
% inverse(X) multiply Y
% Current number of equations to process: 528
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced :
% [408]
% ((inverse(a) multiply X) multiply b) add (c multiply inverse(a)) ->
% c multiply inverse(a)
% Current number of equations to process: 525
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced :
% [409]
% ((inverse(b) multiply X) multiply a) add (c multiply inverse(b)) ->
% c multiply inverse(b)
% Current number of equations to process: 524
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced :
% [410] (inverse(inverse(X add Y) add Z) multiply X) add (X multiply Z) -> X
% Current number of equations to process: 522
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced :
% [411]
% (inverse(b) multiply X) multiply inverse((d multiply X) add (a multiply X))
% -> additive_identity
% Current number of equations to process: 521
% Current number of ordered equations: 0
% Current number of rules: 319
% New rule produced :
% [412]
% (inverse(a) multiply X) multiply inverse((d multiply X) add (b multiply X))
% -> additive_identity
% Current number of equations to process: 520
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [413] ((X multiply Y) add ((X multiply Z) add (X multiply V_3))) add X -> X
% Current number of equations to process: 519
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced :
% [414]
% ((inverse(b) multiply X) add d) add (inverse(a) add X) -> inverse(a) add X
% Current number of equations to process: 536
% Current number of ordered equations: 1
% Current number of rules: 322
% New rule produced :
% [415]
% ((inverse(a) multiply X) add d) add (inverse(b) add X) -> inverse(b) add X
% Current number of equations to process: 536
% Current number of ordered equations: 0
% Current number of rules: 323
% Rule [89] (b add X) add a -> (c add X) add a is composed into [89]
% (b add X) add a
% -> c add X
% New rule produced : [416] (c add X) add a -> c add X
% Rule [178] ((inverse(b) multiply X) add c) add a -> (c add X) add a
% collapsed.
% Rule [179] ((c add X) add a) add (b add X) -> (c add X) add a collapsed.
% Rule [226] ((c add X) add a) add inverse(b add X) -> multiplicative_identity
% collapsed.
% Rule [290] ((inverse(b) add X) add c) add a -> multiplicative_identity
% collapsed.
% Rule
% [303]
% (((inverse(b) multiply X) add d) add c) add a <->
% ((inverse(a) add X) add c) add a collapsed.
% Rule
% [304]
% ((inverse(a) add X) add c) add a <->
% (((inverse(b) multiply X) add d) add c) add a collapsed.
% Rule [387] (((b multiply X) add (b multiply Y)) add c) add a -> c collapsed.
% Current number of equations to process: 544
% Current number of ordered equations: 0
% Current number of rules: 317
% Rule [305]
% (((inverse(a) multiply X) add d) add c) add b ->
% ((inverse(b) add X) add c) add b is composed into [305]
% (((inverse(a) multiply X) add d) add c) add b
% ->
% b add multiplicative_identity
% New rule produced : [417] (inverse(b) add X) add c -> multiplicative_identity
% Current number of equations to process: 543
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced : [418] (inverse(b) multiply X) add c -> c add X
% Current number of equations to process: 542
% Current number of ordered equations: 0
% Current number of rules: 319
% Rule [97] (a add X) add b -> (c add X) add b is composed into [97]
% (a add X) add b
% -> c add X
% New rule produced : [419] (c add X) add b -> c add X
% Rule [213] ((inverse(a) multiply X) add c) add b -> (c add X) add b
% collapsed.
% Rule [227] ((c add X) add b) add inverse(a add X) -> multiplicative_identity
% collapsed.
% Rule [230] ((c add X) add b) add (a add X) -> (c add X) add b collapsed.
% Rule [291] ((inverse(a) add X) add c) add b -> multiplicative_identity
% collapsed.
% Rule
% [305]
% (((inverse(a) multiply X) add d) add c) add b ->
% b add multiplicative_identity collapsed.
% Rule [388] (((a multiply X) add (a multiply Y)) add c) add b -> c collapsed.
% Current number of equations to process: 549
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced : [420] (inverse(a) add X) add c -> multiplicative_identity
% Current number of equations to process: 548
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced : [421] (inverse(a) multiply X) add c -> c add X
% Current number of equations to process: 547
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced : [422] (c add X) add (b add X) -> c add X
% Current number of equations to process: 548
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced : [423] (c add X) add (a add X) -> c add X
% Current number of equations to process: 547
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced :
% [424] (c add X) add inverse(b add X) -> multiplicative_identity
% Current number of equations to process: 546
% Current number of ordered equations: 0
% Current number of rules: 319
% New rule produced :
% [425] (c add X) add inverse(a add X) -> multiplicative_identity
% Current number of equations to process: 545
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [426] ((inverse(a) multiply X) add d) add c -> multiplicative_identity
% Current number of equations to process: 544
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced : [427] ((b multiply X) add (b multiply Y)) add c -> c
% Current number of equations to process: 543
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced : [428] ((a multiply X) add (a multiply Y)) add c -> c
% Current number of equations to process: 542
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced : [429] (inverse(c) multiply X) add (b add X) -> b add X
% Current number of equations to process: 541
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [430] (b multiply X) add (inverse(c) add X) -> inverse(c) add X
% Current number of equations to process: 540
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced : [431] (inverse(c) multiply X) add (a add X) -> a add X
% Current number of equations to process: 541
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [432] (a multiply X) add (inverse(c) add X) -> inverse(c) add X
% Current number of equations to process: 540
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced : [433] ((c multiply X) add a) add (a add X) -> a add X
% Current number of equations to process: 539
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced : [434] ((c multiply X) add b) add (b add X) -> b add X
% Current number of equations to process: 538
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [435] ((inverse(b) multiply X) add d) add c -> multiplicative_identity
% Current number of equations to process: 537
% Current number of ordered equations: 0
% Current number of rules: 330
% Rule [284]
% (b multiply X) add ((a multiply X) add Y) ->
% (b multiply X) add ((c multiply X) add Y) is composed into [284]
% (b multiply X) add
% ((a multiply X) add Y)
% ->
% (c multiply X) add Y
% New rule produced :
% [436] (b multiply X) add ((c multiply X) add Y) -> (c multiply X) add Y
% Rule [141] (b multiply X) add ((c multiply X) add a) -> (c multiply X) add a
% collapsed.
% Current number of equations to process: 545
% Current number of ordered equations: 0
% Current number of rules: 330
% Rule [282]
% (a multiply X) add ((b multiply X) add Y) ->
% (a multiply X) add ((c multiply X) add Y) is composed into [282]
% (a multiply X) add
% ((b multiply X) add Y)
% ->
% (c multiply X) add Y
% New rule produced :
% [437] (a multiply X) add ((c multiply X) add Y) -> (c multiply X) add Y
% Rule [142] (a multiply X) add ((c multiply X) add b) -> (c multiply X) add b
% collapsed.
% Current number of equations to process: 544
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced : [438] (X multiply Y) add (Y add Z) -> Y add Z
% Rule [139] (inverse(X) multiply Y) add (X add Y) -> X add Y collapsed.
% Rule [140] (X multiply Y) add (inverse(X) add Y) -> inverse(X) add Y
% collapsed.
% Rule
% [180]
% (c multiply inverse(a)) add (inverse(b) add inverse(a)) ->
% inverse(b) add inverse(a) collapsed.
% Rule
% [181]
% (c multiply inverse(b)) add (inverse(b) add inverse(a)) ->
% inverse(b) add inverse(a) collapsed.
% Rule [429] (inverse(c) multiply X) add (b add X) -> b add X collapsed.
% Rule [430] (b multiply X) add (inverse(c) add X) -> inverse(c) add X
% collapsed.
% Rule [431] (inverse(c) multiply X) add (a add X) -> a add X collapsed.
% Rule [432] (a multiply X) add (inverse(c) add X) -> inverse(c) add X
% collapsed.
% Current number of equations to process: 549
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced :
% [439]
% (X add Y) add inverse((X multiply Z) add (Y multiply Z)) ->
% multiplicative_identity
% Current number of equations to process: 554
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [440]
% (((X multiply Y) multiply Z) multiply V_3) add (X multiply Z) -> X multiply Z
% Current number of equations to process: 561
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced :
% [441] (inverse(X multiply Y) multiply Y) add inverse(X) -> inverse(X)
% Current number of equations to process: 569
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced : [442] (c multiply X) add inverse(a) -> inverse(a) add X
% Rule [56] (c multiply inverse(b)) add inverse(a) -> inverse(b) add inverse(a)
% collapsed.
% Current number of equations to process: 572
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced : [443] (c multiply X) add inverse(b) -> inverse(b) add X
% Rule [58] (c multiply inverse(a)) add inverse(b) -> inverse(b) add inverse(a)
% collapsed.
% Current number of equations to process: 571
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [444] (inverse(c) multiply X) add inverse(b) -> inverse(b)
% Current number of equations to process: 570
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced :
% [445] (inverse(c) multiply X) add inverse(a) -> inverse(a)
% Current number of equations to process: 570
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [446] (Y multiply Z) add inverse(X multiply Y) -> inverse(X multiply Y) add Z
% Rule
% [216] (c multiply X) add inverse(b multiply X) -> multiplicative_identity
% collapsed.
% Rule
% [217] (c multiply X) add inverse(a multiply X) -> multiplicative_identity
% collapsed.
% Rule
% [223]
% (X multiply Y) add inverse((Y multiply Z) multiply X) ->
% multiplicative_identity collapsed.
% Rule
% [224]
% (inverse(b) multiply X) add inverse(d multiply X) -> multiplicative_identity
% collapsed.
% Rule
% [225]
% (inverse(a) multiply X) add inverse(d multiply X) -> multiplicative_identity
% collapsed.
% Rule
% [242]
% ((c multiply X) multiply Y) add inverse((b multiply X) multiply Y) ->
% multiplicative_identity collapsed.
% Rule
% [243]
% ((c multiply X) multiply Y) add inverse((a multiply X) multiply Y) ->
% multiplicative_identity collapsed.
% Rule
% [307]
% (a multiply X) add inverse((c multiply inverse(b)) multiply X) ->
% multiplicative_identity collapsed.
% Rule
% [311]
% (b multiply X) add inverse((c multiply inverse(a)) multiply X) ->
% multiplicative_identity collapsed.
% Current number of equations to process: 589
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [447] c add inverse(b multiply X) -> multiplicative_identity
% Current number of equations to process: 587
% Current number of ordered equations: 1
% Current number of rules: 321
% New rule produced :
% [448] c add inverse(a multiply X) -> multiplicative_identity
% Current number of equations to process: 587
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced :
% [449] inverse(d multiply X) add inverse(b) -> multiplicative_identity
% Current number of equations to process: 586
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced :
% [450] inverse(d multiply X) add inverse(a) -> multiplicative_identity
% Current number of equations to process: 585
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [451] inverse((Y multiply Z) multiply X) add Y -> multiplicative_identity
% Current number of equations to process: 584
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced :
% [452]
% a add inverse((c multiply inverse(b)) multiply X) -> multiplicative_identity
% Current number of equations to process: 583
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [453]
% b add inverse((c multiply inverse(a)) multiply X) -> multiplicative_identity
% Current number of equations to process: 582
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced :
% [454]
% (c multiply X) add inverse((b multiply X) multiply Y) ->
% multiplicative_identity
% Current number of equations to process: 580
% Current number of ordered equations: 1
% Current number of rules: 328
% New rule produced :
% [455]
% (c multiply X) add inverse((a multiply X) multiply Y) ->
% multiplicative_identity
% Current number of equations to process: 580
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced :
% [456]
% (inverse(X multiply Y) multiply inverse(X)) add inverse(Y) ->
% inverse(X multiply Y)
% Current number of equations to process: 583
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced :
% [457] (inverse(X add Y) multiply Z) add inverse(X) -> inverse(X)
% Current number of equations to process: 587
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced :
% [458]
% inverse(inverse(inverse(X) multiply Y) multiply Y) add X ->
% multiplicative_identity
% Current number of equations to process: 588
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced :
% [459] (d add inverse(inverse(a) multiply X)) add b -> multiplicative_identity
% Current number of equations to process: 591
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced : [460] inverse(inverse(X) multiply Y) multiply X -> X
% Rule
% [288]
% a multiply inverse(c multiply inverse(a)) ->
% c multiply inverse(c multiply inverse(a)) collapsed.
% Rule
% [289]
% b multiply inverse(c multiply inverse(b)) ->
% c multiply inverse(c multiply inverse(b)) collapsed.
% Current number of equations to process: 593
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced : [461] c multiply inverse(c multiply inverse(a)) -> a
% Current number of equations to process: 592
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced : [462] c multiply inverse(c multiply inverse(b)) -> b
% Current number of equations to process: 591
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced :
% [463] inverse(X multiply Y) multiply inverse(X) -> inverse(X)
% Rule
% [456]
% (inverse(X multiply Y) multiply inverse(X)) add inverse(Y) ->
% inverse(X multiply Y) collapsed.
% Current number of equations to process: 592
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced : [464] inverse(X multiply Y) -> inverse(X) add inverse(Y)
% Rule
% [104]
% (b multiply X) multiply inverse(a multiply X) ->
% (c multiply X) multiply inverse(a multiply X) collapsed.
% Rule
% [105]
% (a multiply X) multiply inverse(b multiply X) ->
% (c multiply X) multiply inverse(b multiply X) collapsed.
% Rule
% [107]
% (inverse(X) multiply Y) multiply inverse(X multiply Y) ->
% inverse(X multiply Y) multiply Y collapsed.
% Rule
% [108]
% (X multiply Y) multiply inverse(inverse(Y) multiply X) ->
% inverse(inverse(Y) multiply X) multiply X collapsed.
% Rule [130] inverse(X multiply Y) add X -> multiplicative_identity collapsed.
% Rule [131] (inverse(X multiply Y) multiply X) add Y -> X add Y collapsed.
% Rule
% [205]
% inverse(c multiply inverse(b)) multiply inverse(b) ->
% d multiply inverse(c multiply inverse(b)) collapsed.
% Rule
% [210]
% inverse(c multiply inverse(a)) multiply inverse(a) ->
% d multiply inverse(c multiply inverse(a)) collapsed.
% Rule [214] a add inverse(c multiply inverse(b)) -> multiplicative_identity
% collapsed.
% Rule [215] b add inverse(c multiply inverse(a)) -> multiplicative_identity
% collapsed.
% Rule
% [228]
% ((c multiply X) add Y) add inverse(b multiply X) -> multiplicative_identity
% collapsed.
% Rule
% [237]
% ((c multiply X) add Y) add inverse(a multiply X) -> multiplicative_identity
% collapsed.
% Rule
% [245] ((c multiply Y) multiply X) add (inverse(b multiply Y) multiply X) -> X
% collapsed.
% Rule
% [246] ((c multiply Y) multiply X) add (inverse(a multiply Y) multiply X) -> X
% collapsed.
% Rule [250] (X add Y) add inverse(X multiply Z) -> multiplicative_identity
% collapsed.
% Rule [252] (inverse(Y multiply Z) multiply X) add (X multiply Z) -> X
% collapsed.
% Rule
% [265]
% (c multiply inverse(a)) multiply inverse(b multiply a) ->
% b multiply inverse(b multiply a) collapsed.
% Rule
% [266]
% (c multiply inverse(b)) multiply inverse(b multiply a) ->
% a multiply inverse(b multiply a) collapsed.
% Rule
% [267]
% (b multiply a) multiply inverse(c multiply inverse(a)) ->
% b multiply inverse(c multiply inverse(a)) collapsed.
% Rule
% [268]
% (b multiply a) multiply inverse(c multiply inverse(b)) ->
% a multiply inverse(c multiply inverse(b)) collapsed.
% Rule
% [270]
% (inverse(X multiply Y) multiply Y) add (inverse(X) multiply Y) ->
% inverse(X) multiply Y collapsed.
% Rule
% [271]
% (c multiply X) multiply inverse(inverse(b) multiply X) ->
% inverse(inverse(b) multiply X) multiply X collapsed.
% Rule
% [272]
% (c multiply X) multiply inverse(inverse(a) multiply X) ->
% inverse(inverse(a) multiply X) multiply X collapsed.
% Rule
% [278]
% ((d multiply X) add (a multiply X)) add inverse(inverse(b) multiply X) ->
% multiplicative_identity collapsed.
% Rule
% [279]
% ((d multiply X) add (b multiply X)) add inverse(inverse(a) multiply X) ->
% multiplicative_identity collapsed.
% Rule
% [283]
% ((c multiply X) multiply inverse(a multiply X)) add (b multiply X) ->
% b multiply X collapsed.
% Rule
% [285]
% ((c multiply X) multiply inverse(b multiply X)) add (a multiply X) ->
% a multiply X collapsed.
% Rule
% [292]
% (inverse(inverse(X) multiply Y) multiply Y) add (X multiply Y) ->
% X multiply Y collapsed.
% Rule
% [306]
% (inverse(X multiply Y) multiply Y) multiply (inverse(X) multiply Y) ->
% inverse(X multiply Y) multiply Y collapsed.
% Rule [334] inverse(X multiply Y) add inverse(Y) -> inverse(X multiply Y)
% collapsed.
% Rule
% [337]
% inverse(c multiply inverse(b)) add inverse(a) ->
% inverse(c multiply inverse(b)) collapsed.
% Rule
% [338]
% inverse(c multiply inverse(a)) add inverse(b) ->
% inverse(c multiply inverse(a)) collapsed.
% Rule
% [339]
% inverse(c multiply X) add inverse(b multiply X) -> inverse(b multiply X)
% collapsed.
% Rule
% [340]
% inverse(c multiply X) add inverse(a multiply X) -> inverse(a multiply X)
% collapsed.
% Rule
% [341]
% (d multiply inverse(c multiply inverse(b))) add b ->
% inverse(c multiply inverse(b)) collapsed.
% Rule
% [342]
% (d multiply inverse(c multiply inverse(a))) add a ->
% inverse(c multiply inverse(a)) collapsed.
% Rule [355] (b multiply X) multiply inverse(c multiply X) -> additive_identity
% collapsed.
% Rule [356] (a multiply X) multiply inverse(c multiply X) -> additive_identity
% collapsed.
% Rule
% [365]
% (d multiply X) multiply inverse(inverse(b) multiply X) -> additive_identity
% collapsed.
% Rule
% [366]
% (d multiply X) multiply inverse(inverse(a) multiply X) -> additive_identity
% collapsed.
% Rule
% [376]
% ((X multiply Y) multiply Z) multiply inverse(X multiply Z) ->
% additive_identity collapsed.
% Rule
% [380]
% ((c multiply inverse(b)) multiply X) multiply inverse(a multiply X) ->
% additive_identity collapsed.
% Rule
% [381]
% ((c multiply inverse(a)) multiply X) multiply inverse(b multiply X) ->
% additive_identity collapsed.
% Rule
% [391]
% ((b multiply X) multiply Y) multiply inverse((c multiply X) multiply Y) ->
% additive_identity collapsed.
% Rule
% [392]
% ((a multiply X) multiply Y) multiply inverse((c multiply X) multiply Y) ->
% additive_identity collapsed.
% Rule [441] (inverse(X multiply Y) multiply Y) add inverse(X) -> inverse(X)
% collapsed.
% Rule
% [446] (Y multiply Z) add inverse(X multiply Y) -> inverse(X multiply Y) add Z
% collapsed.
% Rule [447] c add inverse(b multiply X) -> multiplicative_identity collapsed.
% Rule [448] c add inverse(a multiply X) -> multiplicative_identity collapsed.
% Rule [449] inverse(d multiply X) add inverse(b) -> multiplicative_identity
% collapsed.
% Rule [450] inverse(d multiply X) add inverse(a) -> multiplicative_identity
% collapsed.
% Rule
% [451] inverse((Y multiply Z) multiply X) add Y -> multiplicative_identity
% collapsed.
% Rule
% [452]
% a add inverse((c multiply inverse(b)) multiply X) -> multiplicative_identity
% collapsed.
% Rule
% [453]
% b add inverse((c multiply inverse(a)) multiply X) -> multiplicative_identity
% collapsed.
% Rule
% [454]
% (c multiply X) add inverse((b multiply X) multiply Y) ->
% multiplicative_identity collapsed.
% Rule
% [455]
% (c multiply X) add inverse((a multiply X) multiply Y) ->
% multiplicative_identity collapsed.
% Rule
% [458]
% inverse(inverse(inverse(X) multiply Y) multiply Y) add X ->
% multiplicative_identity collapsed.
% Rule
% [459] (d add inverse(inverse(a) multiply X)) add b -> multiplicative_identity
% collapsed.
% Rule [460] inverse(inverse(X) multiply Y) multiply X -> X collapsed.
% Rule [461] c multiply inverse(c multiply inverse(a)) -> a collapsed.
% Rule [462] c multiply inverse(c multiply inverse(b)) -> b collapsed.
% Rule [463] inverse(X multiply Y) multiply inverse(X) -> inverse(X) collapsed.
% Current number of equations to process: 622
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced :
% [465] (inverse(d) add inverse(X)) add inverse(b) -> multiplicative_identity
% Current number of equations to process: 621
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced :
% [466] (inverse(d) add inverse(X)) add inverse(a) -> multiplicative_identity
% Current number of equations to process: 620
% Current number of ordered equations: 0
% Current number of rules: 275
% New rule produced :
% [467] (inverse(X) add inverse(Z)) add (X add Y) -> multiplicative_identity
% Current number of equations to process: 619
% Current number of ordered equations: 0
% Current number of rules: 276
% New rule produced :
% [468]
% ((inverse(Y) add inverse(Z)) add inverse(X)) add Y -> multiplicative_identity
% Current number of equations to process: 618
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced : [469] (d multiply X) multiply b -> additive_identity
% Current number of equations to process: 617
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced : [470] (d multiply X) multiply a -> additive_identity
% Current number of equations to process: 616
% Current number of ordered equations: 0
% Current number of rules: 279
% New rule produced :
% [471] ((a add inverse(X)) add d) add b -> multiplicative_identity
% Current number of equations to process: 615
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced :
% [472]
% ((c multiply X) add Y) add (inverse(b) add inverse(X)) ->
% multiplicative_identity
% Current number of equations to process: 613
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced :
% [473]
% ((c multiply X) add Y) add (inverse(a) add inverse(X)) ->
% multiplicative_identity
% Current number of equations to process: 612
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced :
% [474] ((b add inverse(c)) add inverse(X)) add a -> multiplicative_identity
% Current number of equations to process: 611
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced :
% [475] ((a add inverse(c)) add inverse(X)) add b -> multiplicative_identity
% Current number of equations to process: 610
% Current number of ordered equations: 0
% Current number of rules: 284
% New rule produced :
% [476] ((X multiply Y) multiply Z) multiply inverse(X) -> additive_identity
% Current number of equations to process: 609
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced : [477] b add inverse(c) -> d add b
% Rule
% [474] ((b add inverse(c)) add inverse(X)) add a -> multiplicative_identity
% collapsed.
% Current number of equations to process: 609
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced :
% [478] ((d add b) add inverse(X)) add a -> multiplicative_identity
% Current number of equations to process: 608
% Current number of ordered equations: 0
% Current number of rules: 286
% New rule produced : [479] a add inverse(c) -> d add a
% Rule
% [475] ((a add inverse(c)) add inverse(X)) add b -> multiplicative_identity
% collapsed.
% Current number of equations to process: 608
% Current number of ordered equations: 0
% Current number of rules: 286
% New rule produced :
% [480] ((d add a) add inverse(X)) add b -> multiplicative_identity
% Current number of equations to process: 607
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced :
% [481] (inverse((X multiply Y) add Z) multiply Y) add inverse(X) -> inverse(X)
% Current number of equations to process: 606
% Current number of ordered equations: 0
% Current number of rules: 288
% New rule produced :
% [482]
% (c multiply X) add ((inverse(a) add inverse(X)) add inverse(Y)) ->
% multiplicative_identity
% Current number of equations to process: 604
% Current number of ordered equations: 1
% Current number of rules: 289
% New rule produced :
% [483]
% (c multiply X) add ((inverse(b) add inverse(X)) add inverse(Y)) ->
% multiplicative_identity
% Current number of equations to process: 604
% Current number of ordered equations: 0
% Current number of rules: 290
% New rule produced :
% [484]
% ((c multiply inverse(b)) multiply X) multiply inverse(a) -> additive_identity
% Current number of equations to process: 603
% Current number of ordered equations: 0
% Current number of rules: 291
% New rule produced :
% [485]
% ((c multiply inverse(a)) multiply X) multiply inverse(b) -> additive_identity
% Current number of equations to process: 602
% Current number of ordered equations: 0
% Current number of rules: 292
% New rule produced :
% [486]
% ((c multiply inverse(a)) multiply X) add inverse(b) ->
% (inverse(a) multiply X) add inverse(b)
% Current number of equations to process: 601
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced :
% [487]
% ((c multiply inverse(b)) multiply X) add inverse(a) ->
% (inverse(b) multiply X) add inverse(a)
% Current number of equations to process: 600
% Current number of ordered equations: 0
% Current number of rules: 294
% New rule produced :
% [488]
% (((a multiply Y) multiply X) add d) add b -> ((X multiply Y) add d) add b
% Current number of equations to process: 599
% Current number of ordered equations: 0
% Current number of rules: 295
% New rule produced :
% [489]
% (Y multiply Z) add (inverse(X) add inverse(Y)) ->
% (inverse(X) add inverse(Y)) add Z
% Current number of equations to process: 598
% Current number of ordered equations: 0
% Current number of rules: 296
% New rule produced :
% [490] ((inverse(b) multiply Y) multiply X) add c -> (X multiply Y) add c
% Current number of equations to process: 605
% Current number of ordered equations: 0
% Current number of rules: 297
% New rule produced :
% [491] ((inverse(a) multiply Y) multiply X) add c -> (X multiply Y) add c
% Current number of equations to process: 606
% Current number of ordered equations: 0
% Current number of rules: 298
% New rule produced : [492] (inverse(inverse(X) add Y) multiply Z) add X -> X
% Current number of equations to process: 610
% Current number of ordered equations: 0
% Current number of rules: 299
% New rule produced :
% [493] (inverse(X) add Z) add inverse(Y) <-> (inverse(X) add inverse(Y)) add Z
% Current number of equations to process: 609
% Current number of ordered equations: 1
% Current number of rules: 300
% New rule produced :
% [494] (inverse(X) add inverse(Y)) add Z <-> (inverse(X) add Z) add inverse(Y)
% Current number of equations to process: 609
% Current number of ordered equations: 0
% Current number of rules: 301
% New rule produced :
% [495] (inverse((inverse(X) multiply Y) add Z) multiply Y) add X -> X
% Current number of equations to process: 609
% Current number of ordered equations: 0
% Current number of rules: 302
% New rule produced :
% [496] (inverse(d) multiply X) add ((inverse(a) multiply X) add d) -> d add X
% Current number of equations to process: 608
% Current number of ordered equations: 0
% Current number of rules: 303
% New rule produced :
% [497] (inverse(d) multiply X) add ((inverse(b) multiply X) add d) -> d add X
% Current number of equations to process: 607
% Current number of ordered equations: 0
% Current number of rules: 304
% New rule produced :
% [498]
% ((c multiply X) multiply Y) add (inverse(b) add inverse(X)) ->
% (inverse(b) add inverse(X)) add Y
% Current number of equations to process: 606
% Current number of ordered equations: 0
% Current number of rules: 305
% New rule produced :
% [499]
% ((c multiply X) multiply Y) add (inverse(a) add inverse(X)) ->
% (inverse(a) add inverse(X)) add Y
% Current number of equations to process: 605
% Current number of ordered equations: 0
% Current number of rules: 306
% New rule produced :
% [500]
% (b multiply X) multiply inverse(a) -> (c multiply X) multiply inverse(a)
% Rule
% [111]
% ((b multiply X) multiply inverse(a)) add d -> (inverse(a) multiply X) add d
% collapsed.
% Current number of equations to process: 604
% Current number of ordered equations: 1
% Current number of rules: 306
% New rule produced :
% [501]
% ((c multiply X) multiply inverse(a)) add d -> (inverse(a) multiply X) add d
% Current number of equations to process: 603
% Current number of ordered equations: 1
% Current number of rules: 307
% New rule produced :
% [502]
% (a multiply X) multiply inverse(b) -> (c multiply X) multiply inverse(b)
% Rule
% [112]
% ((a multiply X) multiply inverse(b)) add d -> (inverse(b) multiply X) add d
% collapsed.
% Current number of equations to process: 604
% Current number of ordered equations: 0
% Current number of rules: 307
% New rule produced :
% [503]
% ((c multiply X) multiply inverse(b)) add d -> (inverse(b) multiply X) add d
% Current number of equations to process: 603
% Current number of ordered equations: 0
% Current number of rules: 308
% New rule produced :
% [504]
% ((c multiply Y) multiply X) add ((inverse(b) multiply X) add (inverse(Y) multiply X))
% -> X
% Current number of equations to process: 602
% Current number of ordered equations: 0
% Current number of rules: 309
% New rule produced :
% [505]
% ((c multiply Y) multiply X) add ((inverse(a) multiply X) add (inverse(Y) multiply X))
% -> X
% Current number of equations to process: 601
% Current number of ordered equations: 0
% Current number of rules: 310
% New rule produced :
% [506]
% (inverse(c) add inverse(X)) add (inverse(b) add inverse(X)) ->
% inverse(b) add inverse(X)
% Current number of equations to process: 599
% Current number of ordered equations: 1
% Current number of rules: 311
% New rule produced :
% [507]
% (inverse(c) add inverse(X)) add (inverse(a) add inverse(X)) ->
% inverse(a) add inverse(X)
% Current number of equations to process: 599
% Current number of ordered equations: 0
% Current number of rules: 312
% New rule produced :
% [508] ((d multiply X) add (c multiply inverse(a))) add (b add X) -> b add X
% Current number of equations to process: 598
% Current number of ordered equations: 0
% Current number of rules: 313
% New rule produced :
% [509] ((d multiply X) add (c multiply inverse(b))) add (a add X) -> a add X
% Current number of equations to process: 597
% Current number of ordered equations: 0
% Current number of rules: 314
% New rule produced :
% [510]
% ((X multiply Y) add inverse(Z)) add ((inverse(Y) add inverse(Z)) add
% inverse(X)) -> multiplicative_identity
% Current number of equations to process: 596
% Current number of ordered equations: 0
% Current number of rules: 315
% New rule produced :
% [511]
% ((X multiply Y) multiply Z) add inverse((Y multiply Z) add inverse(X)) -> X
% Current number of equations to process: 593
% Current number of ordered equations: 0
% Current number of rules: 316
% New rule produced :
% [512]
% ((X multiply Y) multiply Z) multiply inverse((X multiply Z) add inverse(Y))
% -> additive_identity
% Current number of equations to process: 592
% Current number of ordered equations: 0
% Current number of rules: 317
% New rule produced :
% [513]
% (b multiply X) add ((d add a) add inverse(X)) -> multiplicative_identity
% Current number of equations to process: 591
% Current number of ordered equations: 0
% Current number of rules: 318
% New rule produced :
% [514]
% (a multiply X) add ((d add b) add inverse(X)) -> multiplicative_identity
% Current number of equations to process: 590
% Current number of ordered equations: 0
% Current number of rules: 319
% New rule produced :
% [515]
% ((X multiply Y) add Z) add ((inverse(Y) add Z) add inverse(X)) ->
% multiplicative_identity
% Rule
% [510]
% ((X multiply Y) add inverse(Z)) add ((inverse(Y) add inverse(Z)) add
% inverse(X)) -> multiplicative_identity
% collapsed.
% Current number of equations to process: 589
% Current number of ordered equations: 0
% Current number of rules: 319
% New rule produced :
% [516]
% ((inverse(X) multiply Y) multiply Z) multiply inverse((Y multiply Z) add X)
% -> additive_identity
% Current number of equations to process: 588
% Current number of ordered equations: 0
% Current number of rules: 320
% New rule produced :
% [517]
% (inverse(d) multiply inverse(b)) add inverse(a) -> inverse(b) add inverse(a)
% Current number of equations to process: 590
% Current number of ordered equations: 0
% Current number of rules: 321
% New rule produced :
% [518]
% d multiply inverse((inverse(b) multiply X) add inverse(a)) ->
% additive_identity
% Current number of equations to process: 593
% Current number of ordered equations: 0
% Current number of rules: 322
% New rule produced :
% [519]
% ((inverse(d) multiply X) multiply inverse(b)) add inverse(a) ->
% (inverse(b) multiply X) add inverse(a)
% Current number of equations to process: 593
% Current number of ordered equations: 0
% Current number of rules: 323
% New rule produced :
% [520]
% (inverse(d) multiply inverse(a)) add inverse(b) -> inverse(b) add inverse(a)
% Current number of equations to process: 595
% Current number of ordered equations: 0
% Current number of rules: 324
% New rule produced :
% [521]
% d multiply inverse((inverse(a) multiply X) add inverse(b)) ->
% additive_identity
% Current number of equations to process: 598
% Current number of ordered equations: 0
% Current number of rules: 325
% New rule produced :
% [522]
% ((inverse(d) multiply X) multiply inverse(a)) add inverse(b) ->
% (inverse(a) multiply X) add inverse(b)
% Current number of equations to process: 598
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [523]
% (c multiply inverse(a)) add (a multiply X) ->
% (c multiply inverse(a)) add (c multiply X)
% Rule [55] (c multiply inverse(a)) add (b multiply a) -> b collapsed.
% Current number of equations to process: 602
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [524]
% (c multiply inverse(b)) add (b multiply X) ->
% (c multiply inverse(b)) add (c multiply X)
% Rule [53] (c multiply inverse(b)) add (b multiply a) -> a collapsed.
% Current number of equations to process: 607
% Current number of ordered equations: 0
% Current number of rules: 326
% New rule produced :
% [525] (inverse(d) multiply X) add (inverse(b) multiply X) -> X
% Current number of equations to process: 610
% Current number of ordered equations: 0
% Current number of rules: 327
% New rule produced : [526] b multiply inverse(d) -> b
% Current number of equations to process: 610
% Current number of ordered equations: 0
% Current number of rules: 328
% New rule produced :
% [527] (inverse(d) multiply X) add (inverse(a) multiply X) -> X
% Current number of equations to process: 613
% Current number of ordered equations: 0
% Current number of rules: 329
% New rule produced : [528] a multiply inverse(d) -> a
% Current number of equations to process: 613
% Current number of ordered equations: 0
% Current number of rules: 330
% New rule produced : [529] (d multiply X) add (c multiply X) -> X
% Current number of equations to process: 613
% Current number of ordered equations: 0
% Current number of rules: 331
% New rule produced : [530] c multiply inverse(d) -> inverse(d)
% Current number of equations to process: 613
% Current number of ordered equations: 0
% Current number of rules: 332
% New rule produced : [531] ((c add X) add d) add b -> multiplicative_identity
% Current number of equations to process: 614
% Current number of ordered equations: 0
% Current number of rules: 333
% New rule produced :
% [532] inverse(c add X) multiply inverse(a) -> inverse(c add X)
% Current number of equations to process: 614
% Current number of ordered equations: 0
% Current number of rules: 334
% New rule produced :
% [533] c multiply inverse(inverse(a) add X) -> inverse(inverse(a) add X)
% Current number of equations to process: 618
% Current number of ordered equations: 0
% Current number of rules: 335
% New rule produced : [534] ((a multiply X) multiply Y) add c -> c
% Current number of equations to process: 621
% Current number of ordered equations: 0
% Current number of rules: 336
% New rule produced :
% [535] ((a multiply Y) multiply X) add (c multiply X) -> c multiply X
% Current number of equations to process: 620
% Current number of ordered equations: 0
% Current number of rules: 337
% New rule produced :
% [536] (inverse(a) add inverse(X)) add inverse(c) -> inverse(a) add inverse(X)
% Current number of equations to process: 619
% Current number of ordered equations: 0
% Current number of rules: 338
% New rule produced :
% [537] (a add X) add inverse((c multiply X) add a) -> multiplicative_identity
% Current number of equations to process: 621
% Current number of ordered equations: 0
% Current number of rules: 339
% New rule produced :
% [538] (inverse(a) multiply X) add ((c multiply X) add a) -> a add X
% Current number of equations to process: 622
% Current number of ordered equations: 0
% Current number of rules: 340
% New rule produced :
% [539] inverse(c add X) multiply inverse(b) -> inverse(c add X)
% Current number of equations to process: 627
% Current number of ordered equations: 0
% Current number of rules: 341
% New rule produced :
% [540] c multiply inverse(inverse(b) add X) -> inverse(inverse(b) add X)
% Current number of equations to process: 626
% Current number of ordered equations: 0
% Current number of rules: 342
% New rule produced : [541] ((b multiply X) multiply Y) add c -> c
% Current number of equations to process: 630
% Current number of ordered equations: 0
% Current number of rules: 343
% New rule produced :
% [542] ((b multiply Y) multiply X) add (c multiply X) -> c multiply X
% Current number of equations to process: 629
% Current number of ordered equations: 0
% Current number of rules: 344
% New rule produced :
% [543] (inverse(b) add inverse(X)) add inverse(c) -> inverse(b) add inverse(X)
% Current number of equations to process: 628
% Current number of ordered equations: 0
% Current number of rules: 345
% New rule produced :
% [544] (b add X) add inverse((c multiply X) add b) -> multiplicative_identity
% Current number of equations to process: 630
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced : [545] inverse(d add b) add inverse(c) -> inverse(b)
% Current number of equations to process: 655
% Current number of ordered equations: 0
% Current number of rules: 347
% New rule produced :
% [546] (inverse(b) add X) add inverse(c) -> inverse(b) add X
% Rule
% [543] (inverse(b) add inverse(X)) add inverse(c) -> inverse(b) add inverse(X)
% collapsed.
% Current number of equations to process: 656
% Current number of ordered equations: 0
% Current number of rules: 347
% New rule produced : [547] (d add X) add c -> multiplicative_identity
% Rule [426] ((inverse(a) multiply X) add d) add c -> multiplicative_identity
% collapsed.
% Rule [435] ((inverse(b) multiply X) add d) add c -> multiplicative_identity
% collapsed.
% Current number of equations to process: 658
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced :
% [548]
% ((c multiply X) multiply Y) add inverse(b) -> (X multiply Y) add inverse(b)
% Rule
% [486]
% ((c multiply inverse(a)) multiply X) add inverse(b) ->
% (inverse(a) multiply X) add inverse(b) collapsed.
% Current number of equations to process: 658
% Current number of ordered equations: 0
% Current number of rules: 346
% New rule produced :
% [549] ((inverse(b) multiply X) add inverse(c)) add X -> inverse(c) add X
% Current number of equations to process: 657
% Current number of ordered equations: 0
% Current number of rules: 347
% New rule produced :
% [550] (inverse(b) multiply X) add ((c multiply X) add b) -> b add X
% Current number of equations to process: 656
% Current number of ordered equations: 0
% Current number of rules: 348
% New rule produced :
% [551] ((b multiply X) add (X multiply Y)) add c -> (X multiply Y) add c
% Current number of equations to process: 655
% Current number of ordered equations: 0
% Current number of rules: 349
% New rule produced :
% [552]
% (inverse(b) add X) add inverse(inverse(c) add X) -> multiplicative_identity
% Current number of equations to process: 658
% Current number of ordered equations: 0
% Current number of rules: 350
% New rule produced :
% [553] (inverse(c) add X) add (inverse(b) add X) -> inverse(b) add X
% Rule
% [506]
% (inverse(c) add inverse(X)) add (inverse(b) add inverse(X)) ->
% inverse(b) add inverse(X) collapsed.
% Current number of equations to process: 657
% Current number of ordered equations: 0
% Current number of rules: 350
% New rule produced :
% [554] inverse(inverse(b) add X) multiply inverse(c) -> additive_identity
% Current number of equations to process: 658
% Current number of ordered equations: 0
% Current number of rules: 351
% New rule produced :
% [555]
% (inverse(c) multiply X) multiply (inverse(b) multiply X) ->
% inverse(c) multiply X
% Current number of equations to process: 672
% Current number of ordered equations: 0
% Current number of rules: 352
% New rule produced :
% [556] (inverse(a) multiply X) add ((c multiply X) add (X multiply Y)) -> X
% Current number of equations to process: 679
% Current number of ordered equations: 0
% Current number of rules: 353
% New rule produced :
% [557] (inverse(b) multiply X) add ((c multiply X) add (X multiply Y)) -> X
% Current number of equations to process: 678
% Current number of ordered equations: 0
% Current number of rules: 354
% New rule produced :
% [558] (b multiply X) add inverse((d add b) add inverse(X)) -> c multiply X
% Current number of equations to process: 677
% Current number of ordered equations: 0
% Current number of rules: 355
% New rule produced :
% [559]
% (((c multiply X) multiply Y) multiply b) add (b multiply X) -> b multiply X
% Current number of equations to process: 675
% Current number of ordered equations: 1
% Current number of rules: 356
% New rule produced :
% [560]
% ((c multiply X) multiply (b multiply Y)) add (b multiply X) -> b multiply X
% Current number of equations to process: 675
% Current number of ordered equations: 0
% Current number of rules: 357
% New rule produced :
% [561]
% (inverse(c) multiply X) add (b add inverse(X)) ->
% (b add inverse(X)) add inverse(c)
% Current number of equations to process: 674
% Current number of ordered equations: 0
% Current number of rules: 358
% New rule produced :
% [562]
% (inverse(b) multiply X) add (c add inverse(X)) -> multiplicative_identity
% Current number of equations to process: 678
% Current number of ordered equations: 1
% Current number of rules: 359
% New rule produced :
% [563]
% (inverse(b) multiply X) add (b add inverse(X)) -> multiplicative_identity
% Current number of equations to process: 678
% Current number of ordered equations: 0
% Current number of rules: 360
% New rule produced :
% [564] (inverse(c) multiply X) multiply inverse(b) -> inverse(c) multiply X
% Current number of equations to process: 678
% Current number of ordered equations: 0
% Current number of rules: 361
% New rule produced :
% [565] (c multiply inverse(b add X)) add inverse(c add X) -> inverse(b add X)
% Current number of equations to process: 679
% Current number of ordered equations: 0
% Current number of rules: 362
% New rule produced :
% [566]
% ((inverse(c) multiply X) add (inverse(c) multiply Y)) add inverse(b) ->
% inverse(b)
% Current number of equations to process: 678
% Current number of ordered equations: 0
% Current number of rules: 363
% New rule produced :
% [567]
% ((inverse(b) multiply X) multiply c) add (inverse(c) multiply X) ->
% inverse(b) multiply X
% Current number of equations to process: 677
% Current number of ordered equations: 0
% Current number of rules: 364
% New rule produced :
% [568]
% ((inverse(b) multiply X) multiply c) add (b add inverse(X)) ->
% c add inverse(X)
% Current number of equations to process: 676
% Current number of ordered equations: 0
% Current number of rules: 365
% New rule produced :
% [569]
% ((inverse(c) multiply X) multiply Y) add (inverse(b) multiply X) ->
% inverse(b) multiply X
% Current number of equations to process: 675
% Current number of ordered equations: 0
% Current number of rules: 366
% New rule produced : [570] ((c multiply inverse(b)) multiply X) add a -> a
% Current number of equations to process: 682
% Current number of ordered equations: 0
% Current number of rules: 367
% New rule produced :
% [571] (c multiply inverse(b)) multiply inverse(a add X) -> additive_identity
% Current number of equations to process: 682
% Current number of ordered equations: 0
% Current number of rules: 368
% New rule produced : [572] ((c multiply inverse(a)) multiply X) add b -> b
% Current number of equations to process: 687
% Current number of ordered equations: 0
% Current number of rules: 369
% New rule produced :
% [573] (c multiply inverse(a)) multiply inverse(b add X) -> additive_identity
% Current number of equations to process: 687
% Current number of ordered equations: 0
% Current number of rules: 370
% New rule produced :
% [574] (b multiply inverse(inverse(c) add X)) add X -> b add X
% Current number of equations to process: 693
% Current number of ordered equations: 0
% Current number of rules: 371
% New rule produced :
% [575] inverse(inverse(c) add X) add inverse(b) -> inverse(b) add inverse(X)
% Current number of equations to process: 694
% Current number of ordered equations: 0
% Current number of rules: 372
% New rule produced :
% [576] b multiply inverse(inverse(b add X) add inverse(c)) -> b
% Current number of equations to process: 693
% Current number of ordered equations: 0
% Current number of rules: 373
% New rule produced : [577] inverse(d add a) add inverse(c) -> inverse(a)
% Current number of equations to process: 719
% Current number of ordered equations: 0
% Current number of rules: 374
% New rule produced :
% [578] (inverse(a) add X) add inverse(c) -> inverse(a) add X
% Rule
% [536] (inverse(a) add inverse(X)) add inverse(c) -> inverse(a) add inverse(X)
% collapsed.
% Current number of equations to process: 720
% Current number of ordered equations: 0
% Current number of rules: 374
% New rule produced :
% [579]
% ((c multiply X) multiply Y) add inverse(a) -> (X multiply Y) add inverse(a)
% Rule
% [487]
% ((c multiply inverse(b)) multiply X) add inverse(a) ->
% (inverse(b) multiply X) add inverse(a) collapsed.
% Current number of equations to process: 722
% Current number of ordered equations: 0
% Current number of rules: 374
% New rule produced :
% [580] ((inverse(a) multiply X) add inverse(c)) add X -> inverse(c) add X
% Current number of equations to process: 721
% Current number of ordered equations: 0
% Current number of rules: 375
% New rule produced :
% [581] ((a multiply X) add (X multiply Y)) add c -> (X multiply Y) add c
% Current number of equations to process: 720
% Current number of ordered equations: 0
% Current number of rules: 376
% New rule produced : [582] ((inverse(c) add X) add d) add b -> (d add X) add b
% Current number of equations to process: 724
% Current number of ordered equations: 0
% Current number of rules: 377
% New rule produced :
% [583]
% (inverse(a) add X) add inverse(inverse(c) add X) -> multiplicative_identity
% Current number of equations to process: 723
% Current number of ordered equations: 0
% Current number of rules: 378
% New rule produced :
% [584] (inverse(c) add X) add (inverse(a) add X) -> inverse(a) add X
% Rule
% [507]
% (inverse(c) add inverse(X)) add (inverse(a) add inverse(X)) ->
% inverse(a) add inverse(X) collapsed.
% Current number of equations to process: 722
% Current number of ordered equations: 0
% Current number of rules: 378
% New rule produced :
% [585] inverse(inverse(a) add X) multiply inverse(c) -> additive_identity
% Current number of equations to process: 723
% Current number of ordered equations: 0
% Current number of rules: 379
% New rule produced :
% [586]
% (inverse(c) multiply X) multiply (inverse(a) multiply X) ->
% inverse(c) multiply X
% Current number of equations to process: 737
% Current number of ordered equations: 0
% Current number of rules: 380
% New rule produced :
% [587] (a multiply X) add inverse((d add a) add inverse(X)) -> c multiply X
% Current number of equations to process: 745
% Current number of ordered equations: 0
% Current number of rules: 381
% New rule produced :
% [588]
% (((c multiply X) multiply Y) multiply a) add (a multiply X) -> a multiply X
% Current number of equations to process: 743
% Current number of ordered equations: 1
% Current number of rules: 382
% New rule produced :
% [589]
% ((c multiply X) multiply (a multiply Y)) add (a multiply X) -> a multiply X
% Current number of equations to process: 743
% Current number of ordered equations: 0
% Current number of rules: 383
% New rule produced :
% [590]
% (inverse(c) multiply X) add (a add inverse(X)) ->
% (a add inverse(X)) add inverse(c)
% Current number of equations to process: 742
% Current number of ordered equations: 0
% Current number of rules: 384
% New rule produced :
% [591]
% (inverse(a) multiply X) add (c add inverse(X)) -> multiplicative_identity
% Current number of equations to process: 746
% Current number of ordered equations: 1
% Current number of rules: 385
% New rule produced :
% [592]
% (inverse(a) multiply X) add (a add inverse(X)) -> multiplicative_identity
% Current number of equations to process: 746
% Current number of ordered equations: 0
% Current number of rules: 386
% New rule produced :
% [593] (inverse(c) multiply X) multiply inverse(a) -> inverse(c) multiply X
% Current number of equations to process: 746
% Current number of ordered equations: 0
% Current number of rules: 387
% New rule produced :
% [594] (c multiply inverse(a add X)) add inverse(c add X) -> inverse(a add X)
% Current number of equations to process: 748
% Current number of ordered equations: 0
% Current number of rules: 388
% New rule produced :
% [595]
% ((inverse(c) multiply X) add (inverse(c) multiply Y)) add inverse(a) ->
% inverse(a)
% Current number of equations to process: 747
% Current number of ordered equations: 0
% Current number of rules: 389
% New rule produced :
% [596]
% ((inverse(a) multiply X) multiply c) add (inverse(c) multiply X) ->
% inverse(a) multiply X
% Current number of equations to process: 746
% Current number of ordered equations: 0
% Current number of rules: 390
% New rule produced :
% [597]
% ((inverse(a) multiply X) multiply c) add (a add inverse(X)) ->
% c add inverse(X)
% Current number of equations to process: 745
% Current number of ordered equations: 0
% Current number of rules: 391
% New rule produced :
% [598]
% ((inverse(c) multiply X) multiply Y) add (inverse(a) multiply X) ->
% inverse(a) multiply X
% Current number of equations to process: 744
% Current number of ordered equations: 0
% Current number of rules: 392
% New rule produced :
% [599] (a multiply inverse(inverse(c) add X)) add X -> a add X
% Current number of equations to process: 748
% Current number of ordered equations: 0
% Current number of rules: 393
% New rule produced :
% [600] inverse(inverse(c) add X) add inverse(a) -> inverse(a) add inverse(X)
% Current number of equations to process: 749
% Current number of ordered equations: 0
% Current number of rules: 394
% New rule produced :
% [601] a multiply inverse(inverse(a add X) add inverse(c)) -> a
% Current number of equations to process: 748
% Current number of ordered equations: 0
% Current number of rules: 395
% New rule produced :
% [602]
% ((c multiply Y) multiply X) add ((inverse(a) multiply Y) multiply X) ->
% X multiply Y
% Current number of equations to process: 749
% Current number of ordered equations: 0
% Current number of rules: 396
% New rule produced :
% [603]
% ((c multiply Y) multiply X) add ((inverse(b) multiply Y) multiply X) ->
% X multiply Y
% Current number of equations to process: 748
% Current number of ordered equations: 0
% Current number of rules: 397
% New rule produced :
% [604]
% ((inverse(b) multiply Y) multiply X) add (c multiply X) ->
% (c multiply X) add (X multiply Y)
% Current number of equations to process: 747
% Current number of ordered equations: 0
% Current number of rules: 398
% New rule produced :
% [605]
% (((c multiply inverse(b)) multiply X) multiply Y) add (a multiply X) ->
% a multiply X
% Current number of equations to process: 746
% Current number of ordered equations: 0
% Current number of rules: 399
% New rule produced :
% [606]
% (((c multiply inverse(a)) multiply X) multiply Y) add (b multiply X) ->
% b multiply X
% Current number of equations to process: 745
% Current number of ordered equations: 0
% Current number of rules: 400
% New rule produced :
% [607]
% ((c multiply inverse(a)) multiply (c multiply X)) add (b multiply X) ->
% b multiply X
% Current number of equations to process: 744
% Current number of ordered equations: 0
% Current number of rules: 401
% New rule produced :
% [608]
% ((c multiply inverse(b)) multiply (c multiply X)) add (a multiply X) ->
% a multiply X
% Current number of equations to process: 743
% Current number of ordered equations: 0
% Current number of rules: 402
% New rule produced :
% [609]
% ((inverse(a) multiply Y) multiply X) add (c multiply X) ->
% (c multiply X) add (X multiply Y)
% Current number of equations to process: 742
% Current number of ordered equations: 0
% Current number of rules: 403
% New rule produced : [610] (c multiply inverse(d add a)) add a -> c
% Current number of equations to process: 744
% Current number of ordered equations: 0
% Current number of rules: 404
% New rule produced :
% [611] c add inverse((c multiply X) add a) -> multiplicative_identity
% Current number of equations to process: 744
% Current number of ordered equations: 0
% Current number of rules: 405
% New rule produced :
% [612] (c multiply inverse(a add inverse(c add X))) add a -> c
% Current number of equations to process: 745
% Current number of ordered equations: 0
% Current number of rules: 406
% New rule produced : [613] (c multiply inverse(d add b)) add b -> c
% Current number of equations to process: 748
% Current number of ordered equations: 0
% Current number of rules: 407
% New rule produced :
% [614] c add inverse((c multiply X) add b) -> multiplicative_identity
% Current number of equations to process: 748
% Current number of ordered equations: 0
% Current number of rules: 408
% New rule produced :
% [615] (c multiply inverse(b add inverse(c add X))) add b -> c
% Current number of equations to process: 749
% Current number of ordered equations: 0
% Current number of rules: 409
% New rule produced : [616] b add inverse((b multiply X) add inverse(c)) -> c
% Current number of equations to process: 754
% Current number of ordered equations: 0
% Current number of rules: 410
% New rule produced :
% [617]
% inverse((c multiply X) add b) add inverse(c) -> inverse((c multiply X) add b)
% Current number of equations to process: 760
% Current number of ordered equations: 0
% Current number of rules: 411
% New rule produced :
% [618] inverse((inverse(c) multiply X) add b) add inverse(c) -> inverse(b)
% Current number of equations to process: 761
% Current number of ordered equations: 0
% Current number of rules: 412
% Rule [192]
% ((c multiply X) add b) add inverse(b add X) -> c add inverse(b add X) is composed into
% [192] ((c multiply X) add b) add inverse(b add X) -> c add inverse(X)
% New rule produced : [619] c add inverse(b add X) -> c add inverse(X)
% Rule [614] c add inverse((c multiply X) add b) -> multiplicative_identity
% collapsed.
% Current number of equations to process: 761
% Current number of ordered equations: 0
% Current number of rules: 412
% New rule produced : [620] a add inverse((a multiply X) add inverse(c)) -> c
% Current number of equations to process: 769
% Current number of ordered equations: 0
% Current number of rules: 413
% New rule produced :
% [621]
% inverse((c multiply X) add a) add inverse(c) -> inverse((c multiply X) add a)
% Current number of equations to process: 776
% Current number of ordered equations: 0
% Current number of rules: 414
% New rule produced :
% [622] inverse((inverse(c) multiply X) add a) add inverse(c) -> inverse(a)
% Current number of equations to process: 776
% Current number of ordered equations: 0
% Current number of rules: 415
% Rule [191]
% ((c multiply X) add a) add inverse(a add X) -> c add inverse(a add X) is composed into
% [191] ((c multiply X) add a) add inverse(a add X) -> c add inverse(X)
% New rule produced : [623] c add inverse(a add X) -> c add inverse(X)
% Rule [611] c add inverse((c multiply X) add a) -> multiplicative_identity
% collapsed.
% Current number of equations to process: 776
% Current number of ordered equations: 0
% Current number of rules: 415
% New rule produced : [624] (d multiply X) add inverse(a) -> inverse(a)
% Current number of equations to process: 782
% Current number of ordered equations: 0
% Current number of rules: 416
% New rule produced : [625] (inverse(a) add X) add d -> inverse(a) add X
% Current number of equations to process: 783
% Current number of ordered equations: 0
% Current number of rules: 417
% New rule produced :
% [626] (inverse(a) multiply X) add inverse(d) -> inverse(d) add X
% Current number of equations to process: 782
% Current number of ordered equations: 0
% Current number of rules: 418
% New rule produced : [627] inverse(d) -> c
% Rule [143] inverse(d) add inverse(b) -> multiplicative_identity collapsed.
% Rule [146] inverse(d) add inverse(a) -> multiplicative_identity collapsed.
% Rule
% [204]
% (c multiply inverse(b)) multiply inverse(d) -> inverse(d) multiply inverse(b)
% collapsed.
% Rule
% [209]
% (c multiply inverse(a)) multiply inverse(d) -> inverse(d) multiply inverse(a)
% collapsed.
% Rule [335] b add inverse(d) -> inverse(d) collapsed.
% Rule [336] a add inverse(d) -> inverse(d) collapsed.
% Rule
% [465] (inverse(d) add inverse(X)) add inverse(b) -> multiplicative_identity
% collapsed.
% Rule
% [466] (inverse(d) add inverse(X)) add inverse(a) -> multiplicative_identity
% collapsed.
% Rule
% [496] (inverse(d) multiply X) add ((inverse(a) multiply X) add d) -> d add X
% collapsed.
% Rule
% [497] (inverse(d) multiply X) add ((inverse(b) multiply X) add d) -> d add X
% collapsed.
% Rule
% [517]
% (inverse(d) multiply inverse(b)) add inverse(a) -> inverse(b) add inverse(a)
% collapsed.
% Rule
% [519]
% ((inverse(d) multiply X) multiply inverse(b)) add inverse(a) ->
% (inverse(b) multiply X) add inverse(a) collapsed.
% Rule
% [520]
% (inverse(d) multiply inverse(a)) add inverse(b) -> inverse(b) add inverse(a)
% collapsed.
% Rule
% [522]
% ((inverse(d) multiply X) multiply inverse(a)) add inverse(b) ->
% (inverse(a) multiply X) add inverse(b) collapsed.
% Rule [525] (inverse(d) multiply X) add (inverse(b) multiply X) -> X
% collapsed.
% Rule [526] b multiply inverse(d) -> b collapsed.
% Rule [527] (inverse(d) multiply X) add (inverse(a) multiply X) -> X
% collapsed.
% Rule [528] a multiply inverse(d) -> a collapsed.
% Rule [530] c multiply inverse(d) -> inverse(d) collapsed.
% Rule [626] (inverse(a) multiply X) add inverse(d) -> inverse(d) add X
% collapsed.
% Current number of equations to process: 786
% Current number of ordered equations: 0
% Current number of rules: 399
% New rule produced :
% [628] (c multiply X) add ((inverse(a) multiply X) add d) -> d add X
% Current number of equations to process: 785
% Current number of ordered equations: 0
% Current number of rules: 400
% New rule produced :
% [629] (c multiply X) add ((inverse(b) multiply X) add d) -> d add X
% Current number of equations to process: 784
% Current number of ordered equations: 0
% Current number of rules: 401
% New rule produced :
% [630] (c add inverse(X)) add inverse(a add X) -> c add inverse(X)
% Current number of equations to process: 785
% Current number of ordered equations: 0
% Current number of rules: 402
% New rule produced :
% [631] ((c multiply X) add a) add (c add inverse(X)) -> c add inverse(X)
% Current number of equations to process: 784
% Current number of ordered equations: 0
% Current number of rules: 403
% New rule produced :
% [632] (c add inverse(X)) add (a add X) -> multiplicative_identity
% Current number of equations to process: 785
% Current number of ordered equations: 0
% Current number of rules: 404
% New rule produced :
% [633]
% (c add inverse(X)) add inverse((c multiply X) add a) ->
% multiplicative_identity
% Current number of equations to process: 784
% Current number of ordered equations: 0
% Current number of rules: 405
% New rule produced :
% [634]
% inverse(c add inverse(X)) multiply inverse(a add X) -> additive_identity
% Current number of equations to process: 785
% Current number of ordered equations: 0
% Current number of rules: 406
% New rule produced :
% [635] (c add inverse(X)) add inverse(b add X) -> c add inverse(X)
% Current number of equations to process: 789
% Current number of ordered equations: 0
% Current number of rules: 407
% New rule produced :
% [636] ((c multiply X) add b) add (c add inverse(X)) -> c add inverse(X)
% Current number of equations to process: 788
% Current number of ordered equations: 0
% Current number of rules: 408
% New rule produced :
% [637] (c add inverse(X)) add (b add X) -> multiplicative_identity
% Current number of equations to process: 789
% Current number of ordered equations: 0
% Current number of rules: 409
% New rule produced :
% [638]
% (c add inverse(X)) add inverse((c multiply X) add b) ->
% multiplicative_identity
% Current number of equations to process: 788
% Current number of ordered equations: 0
% Current number of rules: 410
% New rule produced :
% [639]
% inverse(c add inverse(X)) multiply inverse(b add X) -> additive_identity
% Current number of equations to process: 789
% Current number of ordered equations: 0
% Current number of rules: 411
% New rule produced :
% [640] inverse((c multiply X) add b) multiply inverse(c) -> inverse(c)
% Current number of equations to process: 793
% Current number of ordered equations: 0
% Current number of rules: 412
% New rule produced :
% [641] (inverse(b add X) multiply inverse(c)) add X -> inverse(c) add X
% Current number of equations to process: 794
% Current number of ordered equations: 0
% Current number of rules: 413
% New rule produced :
% [642]
% inverse(b add inverse(inverse(c) add X)) multiply inverse(c) -> inverse(c)
% Current number of equations to process: 794
% Current number of ordered equations: 0
% Current number of rules: 414
% New rule produced :
% [643] inverse((c multiply X) add a) multiply inverse(c) -> inverse(c)
% Current number of equations to process: 801
% Current number of ordered equations: 0
% Current number of rules: 415
% New rule produced :
% [644] (inverse(a add X) multiply inverse(c)) add X -> inverse(c) add X
% Current number of equations to process: 801
% Current number of ordered equations: 0
% Current number of rules: 416
% New rule produced :
% [645]
% inverse(a add inverse(inverse(c) add X)) multiply inverse(c) -> inverse(c)
% Current number of equations to process: 801
% Current number of ordered equations: 0
% Current number of rules: 417
% New rule produced : [646] (d multiply X) add c -> c add X
% Current number of equations to process: 809
% Current number of ordered equations: 0
% Current number of rules: 418
% New rule produced :
% [647]
% ((d multiply X) add a) add (b add inverse(X)) -> multiplicative_identity
% Current number of equations to process: 810
% Current number of ordered equations: 0
% Current number of rules: 419
% New rule produced :
% [648] ((inverse(b) multiply X) multiply d) add a -> (d multiply X) add a
% Current number of equations to process: 809
% Current number of ordered equations: 0
% Current number of rules: 420
% New rule produced : [649] (d multiply inverse(inverse(b) add X)) add a -> a
% Current number of equations to process: 812
% Current number of ordered equations: 0
% Current number of rules: 421
% New rule produced : [650] d multiply c -> additive_identity
% Rule [196] (d multiply c) add a -> a collapsed.
% Rule [202] (d multiply c) add b -> b collapsed.
% Current number of equations to process: 816
% Current number of ordered equations: 0
% Current number of rules: 420
% New rule produced : [651] inverse(c) -> d
% Rule [85] b multiply inverse(c) -> additive_identity collapsed.
% Rule [87] a multiply inverse(c) -> additive_identity collapsed.
% Rule [158] inverse(c) add inverse(b) -> inverse(b) collapsed.
% Rule [159] inverse(c) multiply inverse(b) -> inverse(c) collapsed.
% Rule [161] (inverse(c) add X) add inverse(b) -> inverse(b) add X collapsed.
% Rule
% [162] (inverse(b) multiply X) multiply inverse(c) -> inverse(c) multiply X
% collapsed.
% Rule
% [165]
% (inverse(c) multiply X) add (inverse(b) multiply X) -> inverse(b) multiply X
% collapsed.
% Rule [169] (b multiply inverse(inverse(c) add X)) add (b multiply X) -> b
% collapsed.
% Rule [171] inverse(c) add inverse(a) -> inverse(a) collapsed.
% Rule [172] inverse(c) multiply inverse(a) -> inverse(c) collapsed.
% Rule [174] (inverse(c) add X) add inverse(a) -> inverse(a) add X collapsed.
% Rule
% [175] (inverse(a) multiply X) multiply inverse(c) -> inverse(c) multiply X
% collapsed.
% Rule
% [176]
% (inverse(c) multiply X) add (inverse(a) multiply X) -> inverse(a) multiply X
% collapsed.
% Rule [177] (a multiply inverse(inverse(c) add X)) add (a multiply X) -> a
% collapsed.
% Rule
% [184]
% (b multiply X) add inverse(inverse(c) add X) ->
% b add inverse(inverse(c) add X) collapsed.
% Rule
% [185]
% (inverse(c) multiply X) add inverse(b add X) ->
% inverse(b add X) add inverse(c) collapsed.
% Rule
% [186]
% (a multiply X) add inverse(inverse(c) add X) ->
% a add inverse(inverse(c) add X) collapsed.
% Rule
% [187]
% (inverse(c) multiply X) add inverse(a add X) ->
% inverse(a add X) add inverse(c) collapsed.
% Rule
% [193]
% (inverse(b add X) multiply inverse(c)) add (inverse(c) multiply X) ->
% inverse(c) collapsed.
% Rule
% [194]
% (inverse(a add X) multiply inverse(c)) add (inverse(c) multiply X) ->
% inverse(c) collapsed.
% Rule [197] d multiply inverse(c) -> inverse(c) collapsed.
% Rule [295] d add inverse(c) -> d collapsed.
% Rule [401] (b multiply X) multiply inverse(c) -> additive_identity collapsed.
% Rule [402] (inverse(c) multiply X) multiply b -> additive_identity collapsed.
% Rule [403] (a multiply X) multiply inverse(c) -> additive_identity collapsed.
% Rule [404] (inverse(c) multiply X) multiply a -> additive_identity collapsed.
% Rule [444] (inverse(c) multiply X) add inverse(b) -> inverse(b) collapsed.
% Rule [445] (inverse(c) multiply X) add inverse(a) -> inverse(a) collapsed.
% Rule [477] b add inverse(c) -> d add b collapsed.
% Rule [479] a add inverse(c) -> d add a collapsed.
% Rule [545] inverse(d add b) add inverse(c) -> inverse(b) collapsed.
% Rule [546] (inverse(b) add X) add inverse(c) -> inverse(b) add X collapsed.
% Rule [549] ((inverse(b) multiply X) add inverse(c)) add X -> inverse(c) add X
% collapsed.
% Rule
% [552]
% (inverse(b) add X) add inverse(inverse(c) add X) -> multiplicative_identity
% collapsed.
% Rule [553] (inverse(c) add X) add (inverse(b) add X) -> inverse(b) add X
% collapsed.
% Rule [554] inverse(inverse(b) add X) multiply inverse(c) -> additive_identity
% collapsed.
% Rule
% [555]
% (inverse(c) multiply X) multiply (inverse(b) multiply X) ->
% inverse(c) multiply X collapsed.
% Rule
% [561]
% (inverse(c) multiply X) add (b add inverse(X)) ->
% (b add inverse(X)) add inverse(c) collapsed.
% Rule
% [564] (inverse(c) multiply X) multiply inverse(b) -> inverse(c) multiply X
% collapsed.
% Rule
% [566]
% ((inverse(c) multiply X) add (inverse(c) multiply Y)) add inverse(b) ->
% inverse(b) collapsed.
% Rule
% [567]
% ((inverse(b) multiply X) multiply c) add (inverse(c) multiply X) ->
% inverse(b) multiply X collapsed.
% Rule
% [569]
% ((inverse(c) multiply X) multiply Y) add (inverse(b) multiply X) ->
% inverse(b) multiply X collapsed.
% Rule [574] (b multiply inverse(inverse(c) add X)) add X -> b add X collapsed.
% Rule
% [575] inverse(inverse(c) add X) add inverse(b) -> inverse(b) add inverse(X)
% collapsed.
% Rule [576] b multiply inverse(inverse(b add X) add inverse(c)) -> b
% collapsed.
% Rule [577] inverse(d add a) add inverse(c) -> inverse(a) collapsed.
% Rule [578] (inverse(a) add X) add inverse(c) -> inverse(a) add X collapsed.
% Rule [580] ((inverse(a) multiply X) add inverse(c)) add X -> inverse(c) add X
% collapsed.
% Rule [582] ((inverse(c) add X) add d) add b -> (d add X) add b collapsed.
% Rule
% [583]
% (inverse(a) add X) add inverse(inverse(c) add X) -> multiplicative_identity
% collapsed.
% Rule [584] (inverse(c) add X) add (inverse(a) add X) -> inverse(a) add X
% collapsed.
% Rule [585] inverse(inverse(a) add X) multiply inverse(c) -> additive_identity
% collapsed.
% Rule
% [586]
% (inverse(c) multiply X) multiply (inverse(a) multiply X) ->
% inverse(c) multiply X collapsed.
% Rule
% [590]
% (inverse(c) multiply X) add (a add inverse(X)) ->
% (a add inverse(X)) add inverse(c) collapsed.
% Rule
% [593] (inverse(c) multiply X) multiply inverse(a) -> inverse(c) multiply X
% collapsed.
% Rule
% [595]
% ((inverse(c) multiply X) add (inverse(c) multiply Y)) add inverse(a) ->
% inverse(a) collapsed.
% Rule
% [596]
% ((inverse(a) multiply X) multiply c) add (inverse(c) multiply X) ->
% inverse(a) multiply X collapsed.
% Rule
% [598]
% ((inverse(c) multiply X) multiply Y) add (inverse(a) multiply X) ->
% inverse(a) multiply X collapsed.
% Rule [599] (a multiply inverse(inverse(c) add X)) add X -> a add X collapsed.
% Rule
% [600] inverse(inverse(c) add X) add inverse(a) -> inverse(a) add inverse(X)
% collapsed.
% Rule [601] a multiply inverse(inverse(a add X) add inverse(c)) -> a
% collapsed.
% Rule [616] b add inverse((b multiply X) add inverse(c)) -> c collapsed.
% Rule
% [617]
% inverse((c multiply X) add b) add inverse(c) -> inverse((c multiply X) add b)
% collapsed.
% Rule
% [618] inverse((inverse(c) multiply X) add b) add inverse(c) -> inverse(b)
% collapsed.
% Rule [620] a add inverse((a multiply X) add inverse(c)) -> c collapsed.
% Rule
% [621]
% inverse((c multiply X) add a) add inverse(c) -> inverse((c multiply X) add a)
% collapsed.
% Rule
% [622] inverse((inverse(c) multiply X) add a) add inverse(c) -> inverse(a)
% collapsed.
% Rule [640] inverse((c multiply X) add b) multiply inverse(c) -> inverse(c)
% collapsed.
% Rule [641] (inverse(b add X) multiply inverse(c)) add X -> inverse(c) add X
% collapsed.
% Rule
% [642]
% inverse(b add inverse(inverse(c) add X)) multiply inverse(c) -> inverse(c)
% collapsed.
% Rule [643] inverse((c multiply X) add a) multiply inverse(c) -> inverse(c)
% collapsed.
% Rule [644] (inverse(a add X) multiply inverse(c)) add X -> inverse(c) add X
% collapsed.
% Rule
% [645]
% inverse(a add inverse(inverse(c) add X)) multiply inverse(c) -> inverse(c)
% collapsed.
% The conjecture has been reduced.
% Conjecture is now:
% Trivial
%
% Current number of equations to process: 867
% Current number of ordered equations: 0
% Current number of rules: 348
% The current conjecture is true and the solution is the identity
% % SZS output start Refutation
%
% The following 17 rules have been used:
% [3]
% b add 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
% [6] inverse(b) multiply inverse(a) -> d; 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] (b multiply X) add (a multiply X) -> c multiply X; trace = Cp of 8 and 3
% [14] (inverse(Y) multiply X) add (X multiply Y) -> X; trace = Cp of 8 and 5
% [15] (inverse(X add Y) multiply X) add (inverse(X add Y) multiply Y) ->
% additive_identity; trace = Cp of 8 and 4
% [19] (inverse(X) multiply Y) add X -> X add Y; trace = Cp of 9 and 4
% [32] b multiply inverse(a) -> c multiply inverse(a); trace = Cp of 13 and 4
% [48] a add inverse(b) -> d add a; trace = Cp of 19 and 6
% [57] c add a -> c; trace = Cp of 32 and 19
% [87] a multiply inverse(c) -> additive_identity; trace = Cp of 57 and 15
% [90] (a multiply X) add (inverse(b) multiply X) ->
% (d multiply X) add (a multiply X); trace = Cp of 48 and 8
% [197] d multiply inverse(c) -> inverse(c); trace = Cp of 90 and 87
% [651] inverse(c) -> d; trace = Cp of 197 and 14
% % SZS output end Refutation
% All conjectures have been proven
%
% Execution time: 9.970000 sec
% res : bool = true
% time is now off
%
% status : string = "unsatisfiable"
% % SZS status Unsatisfiable
% CiME interrupted
%
% EOF
%------------------------------------------------------------------------------