TSTP Solution File: BOO014-10 by CiME---2.01
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : BOO014-10 : TPTP v7.3.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n188.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32218.5MB
% OS : Linux 3.10.0-862.11.6.el7.x86_64
% CPULimit : 300s
% DateTime : Wed Feb 27 11:42:03 EST 2019
% Result : Timeout 300.04s
% Output : None
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : BOO014-10 : TPTP v7.3.0. Released v7.3.0.
% 0.00/0.04 % Command : tptp2X_and_run_cime %s
% 0.03/0.24 % Computer : n188.star.cs.uiowa.edu
% 0.03/0.24 % Model : x86_64 x86_64
% 0.03/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.24 % Memory : 32218.5MB
% 0.03/0.24 % OS : Linux 3.10.0-862.11.6.el7.x86_64
% 0.03/0.24 % CPULimit : 300
% 0.03/0.24 % DateTime : Mon Feb 18 10:30:28 CST 2019
% 0.07/0.24 % CPUTime :
% 1.17/1.46 Processing problem /tmp/CiME_18399_n188.star.cs.uiowa.edu
% 1.17/1.46 #verbose 1;
% 1.17/1.46 let F = signature " x_inverse_times_y_inverse,x_plus_y,y,x,multiplicative_identity,additive_identity,true : constant; inverse : 1; product : 3; multiply : 2; sum : 3; add : 2; ifeq : 4; ifeq2 : 4;";
% 1.17/1.46 let X = vars "A B C X Y Z V3 V4 V2 V1 V U";
% 1.17/1.46 let Axioms = equations F X "
% 1.17/1.46 ifeq2(A,A,B,C) = B;
% 1.17/1.46 ifeq(A,A,B,C) = B;
% 1.17/1.46 sum(X,Y,add(X,Y)) = true;
% 1.17/1.46 product(X,Y,multiply(X,Y)) = true;
% 1.17/1.46 ifeq(sum(X,Y,Z),true,sum(Y,X,Z),true) = true;
% 1.17/1.46 ifeq(product(X,Y,Z),true,product(Y,X,Z),true) = true;
% 1.17/1.46 sum(additive_identity,X,X) = true;
% 1.17/1.46 sum(X,additive_identity,X) = true;
% 1.17/1.46 product(multiplicative_identity,X,X) = true;
% 1.17/1.46 product(X,multiplicative_identity,X) = true;
% 1.17/1.46 ifeq(product(X,V3,V4),true,ifeq(product(X,Z,V2),true,ifeq(product(X,Y,V1),true,ifeq(sum(Y,Z,V3),true,sum(V1,V2,V4),true),true),true),true) = true;
% 1.17/1.46 ifeq(product(X,Z,V2),true,ifeq(product(X,Y,V1),true,ifeq(sum(V1,V2,V4),true,ifeq(sum(Y,Z,V3),true,product(X,V3,V4),true),true),true),true) = true;
% 1.17/1.46 ifeq(product(V3,X,V4),true,ifeq(product(Z,X,V2),true,ifeq(product(Y,X,V1),true,ifeq(sum(Y,Z,V3),true,sum(V1,V2,V4),true),true),true),true) = true;
% 1.17/1.46 ifeq(product(Z,X,V2),true,ifeq(product(Y,X,V1),true,ifeq(sum(V1,V2,V4),true,ifeq(sum(Y,Z,V3),true,product(V3,X,V4),true),true),true),true) = true;
% 1.17/1.46 ifeq(product(Y,Z,V3),true,ifeq(sum(X,V3,V4),true,ifeq(sum(X,Z,V2),true,ifeq(sum(X,Y,V1),true,product(V1,V2,V4),true),true),true),true) = true;
% 1.17/1.46 ifeq(product(V1,V2,V4),true,ifeq(product(Y,Z,V3),true,ifeq(sum(X,Z,V2),true,ifeq(sum(X,Y,V1),true,sum(X,V3,V4),true),true),true),true) = true;
% 1.17/1.46 ifeq(product(Y,Z,V3),true,ifeq(sum(V3,X,V4),true,ifeq(sum(Z,X,V2),true,ifeq(sum(Y,X,V1),true,product(V1,V2,V4),true),true),true),true) = true;
% 1.17/1.46 ifeq(product(V1,V2,V4),true,ifeq(product(Y,Z,V3),true,ifeq(sum(Z,X,V2),true,ifeq(sum(Y,X,V1),true,sum(V3,X,V4),true),true),true),true) = true;
% 1.17/1.46 sum(inverse(X),X,multiplicative_identity) = true;
% 1.17/1.46 sum(X,inverse(X),multiplicative_identity) = true;
% 1.17/1.46 product(inverse(X),X,additive_identity) = true;
% 1.17/1.46 product(X,inverse(X),additive_identity) = true;
% 1.17/1.46 ifeq2(sum(X,Y,V),true,ifeq2(sum(X,Y,U),true,U,V),V) = V;
% 1.17/1.46 ifeq2(product(X,Y,V),true,ifeq2(product(X,Y,U),true,U,V),V) = V;
% 1.17/1.46 sum(x,y,x_plus_y) = true;
% 1.17/1.46 product(inverse(x),inverse(y),x_inverse_times_y_inverse) = true;
% 1.17/1.46 ";
% 1.17/1.46
% 1.17/1.46 let s1 = status F "
% 1.17/1.46 x_inverse_times_y_inverse lr_lex;
% 1.17/1.46 x_plus_y lr_lex;
% 1.17/1.46 y lr_lex;
% 1.17/1.46 x lr_lex;
% 1.17/1.46 inverse lr_lex;
% 1.17/1.46 multiplicative_identity lr_lex;
% 1.17/1.46 additive_identity lr_lex;
% 1.17/1.46 product lr_lex;
% 1.17/1.46 multiply lr_lex;
% 1.17/1.46 true lr_lex;
% 1.17/1.46 sum lr_lex;
% 1.17/1.46 add lr_lex;
% 1.17/1.46 ifeq lr_lex;
% 1.17/1.46 ifeq2 lr_lex;
% 1.17/1.46 ";
% 1.17/1.46
% 1.17/1.46 let p1 = precedence F "
% 1.17/1.46 add > multiply > ifeq2 > ifeq > sum > product > inverse > true > additive_identity > multiplicative_identity > x > y > x_plus_y > x_inverse_times_y_inverse";
% 1.17/1.46
% 1.17/1.46 let s2 = status F "
% 1.17/1.46 x_inverse_times_y_inverse mul;
% 1.17/1.46 x_plus_y mul;
% 1.17/1.46 y mul;
% 1.17/1.46 x mul;
% 1.17/1.46 inverse mul;
% 1.17/1.46 multiplicative_identity mul;
% 1.17/1.46 additive_identity mul;
% 1.17/1.46 product mul;
% 1.17/1.46 multiply mul;
% 1.17/1.46 true mul;
% 1.17/1.46 sum mul;
% 1.17/1.46 add mul;
% 1.17/1.46 ifeq mul;
% 1.17/1.46 ifeq2 mul;
% 1.17/1.46 ";
% 1.17/1.46
% 1.17/1.46 let p2 = precedence F "
% 1.17/1.46 add > multiply > ifeq2 > ifeq > sum > product > inverse > true = additive_identity = multiplicative_identity = x = y = x_plus_y = x_inverse_times_y_inverse";
% 1.17/1.46
% 1.17/1.46 let o_auto = AUTO Axioms;
% 1.17/1.46
% 1.17/1.46 let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 1.17/1.46
% 1.17/1.46 let Conjectures = equations F X " inverse(x_plus_y) = x_inverse_times_y_inverse;"
% 1.17/1.46 ;
% 1.17/1.46 (*
% 1.17/1.46 let Red_Axioms = normalize_equations Defining_rules Axioms;
% 1.17/1.46
% 1.17/1.46 let Red_Conjectures = normalize_equations Defining_rules Conjectures;
% 1.17/1.46 *)
% 1.17/1.46 #time on;
% 1.17/1.46
% 1.17/1.46 let res = prove_conj_by_ordered_completion o Axioms Conjectures;
% 1.17/1.46
% 1.17/1.46 #time off;
% 1.17/1.46
% 1.17/1.46
% 1.17/1.46 let status = if res then "unsatisfiable" else "satisfiable";
% 1.17/1.46 #quit;
% 1.17/1.46 Verbose level is now 1
% 1.17/1.46
% 1.17/1.46 F : signature = <signature>
% 1.17/1.46 X : variable_set = <variable set>
% 1.17/1.46
% 1.17/1.46 Axioms : (F,X) equations = { ifeq2(A,A,B,C) = B,
% 1.17/1.46 ifeq(A,A,B,C) = B,
% 1.17/1.46 sum(X,Y,add(X,Y)) = true,
% 1.17/1.46 product(X,Y,multiply(X,Y)) = true,
% 1.17/1.46 ifeq(sum(X,Y,Z),true,sum(Y,X,Z),true) = true,
% 1.17/1.46 ifeq(product(X,Y,Z),true,product(Y,X,Z),true) =
% 1.17/1.46 true,
% 1.17/1.46 sum(additive_identity,X,X) = true,
% 1.17/1.46 sum(X,additive_identity,X) = true,
% 1.17/1.46 product(multiplicative_identity,X,X) = true,
% 1.17/1.46 product(X,multiplicative_identity,X) = true,
% 1.17/1.46 ifeq(product(X,V3,V4),true,ifeq(product(X,Z,V2),true,
% 1.17/1.46 ifeq(product(X,Y,V1),true,
% 1.17/1.46 ifeq(sum(Y,Z,V3),true,
% 1.17/1.46 sum(V1,V2,V4),true),true),true),true)
% 1.17/1.46 = true,
% 1.17/1.46 ifeq(product(X,Z,V2),true,ifeq(product(X,Y,V1),true,
% 1.17/1.46 ifeq(sum(V1,V2,V4),true,
% 1.17/1.46 ifeq(sum(Y,Z,V3),true,
% 1.17/1.46 product(X,V3,V4),true),true),true),true)
% 1.17/1.46 = true,
% 1.17/1.46 ifeq(product(V3,X,V4),true,ifeq(product(Z,X,V2),true,
% 1.17/1.46 ifeq(product(Y,X,V1),true,
% 1.17/1.46 ifeq(sum(Y,Z,V3),true,
% 1.17/1.46 sum(V1,V2,V4),true),true),true),true)
% 1.17/1.46 = true,
% 1.17/1.46 ifeq(product(Z,X,V2),true,ifeq(product(Y,X,V1),true,
% 1.17/1.46 ifeq(sum(V1,V2,V4),true,
% 1.17/1.46 ifeq(sum(Y,Z,V3),true,
% 1.17/1.46 product(V3,X,V4),true),true),true),true)
% 1.17/1.46 = true,
% 1.17/1.46 ifeq(product(Y,Z,V3),true,ifeq(sum(X,V3,V4),true,
% 1.17/1.46 ifeq(sum(X,Z,V2),true,
% 1.17/1.46 ifeq(sum(X,Y,V1),true,
% 1.17/1.46 product(V1,V2,V4),true),true),true),true)
% 1.17/1.46 = true,
% 1.17/1.46 ifeq(product(V1,V2,V4),true,ifeq(product(Y,Z,V3),true,
% 1.17/1.46 ifeq(sum(X,Z,V2),true,
% 1.17/1.46 ifeq(sum(X,Y,V1),true,
% 1.17/1.46 sum(X,V3,V4),true),true),true),true)
% 1.17/1.46 = true,
% 1.17/1.46 ifeq(product(Y,Z,V3),true,ifeq(sum(V3,X,V4),true,
% 1.17/1.46 ifeq(sum(Z,X,V2),true,
% 1.17/1.46 ifeq(sum(Y,X,V1),true,
% 1.17/1.46 product(V1,V2,V4),true),true),true),true)
% 1.17/1.46 = true,
% 1.17/1.46 ifeq(product(V1,V2,V4),true,ifeq(product(Y,Z,V3),true,
% 1.17/1.46 ifeq(sum(Z,X,V2),true,
% 1.17/1.46 ifeq(sum(Y,X,V1),true,
% 1.17/1.46 sum(V3,X,V4),true),true),true),true)
% 1.17/1.46 = true,
% 1.17/1.46 sum(inverse(X),X,multiplicative_identity) = true,
% 1.17/1.46 sum(X,inverse(X),multiplicative_identity) = true,
% 1.17/1.46 product(inverse(X),X,additive_identity) = true,
% 1.17/1.46 product(X,inverse(X),additive_identity) = true,
% 1.17/1.46 ifeq2(sum(X,Y,V),true,ifeq2(sum(X,Y,U),true,U,V),V)
% 1.17/1.46 = V,
% 1.17/1.46 ifeq2(product(X,Y,V),true,ifeq2(product(X,Y,U),true,U,V),V)
% 1.17/1.46 = V,
% 1.17/1.46 sum(x,y,x_plus_y) = true,
% 1.17/1.46 product(inverse(x),inverse(y),x_inverse_times_y_inverse)
% 1.17/1.46 = true } (26 equation(s))
% 1.17/1.46 s1 : F status = <status>
% 1.17/1.46 p1 : F precedence = <precedence>
% 1.20/1.48 s2 : F status = <status>
% 1.20/1.48 p2 : F precedence = <precedence>
% 1.20/1.48 o_auto : F term_ordering = <term ordering>
% 1.20/1.48 o : F term_ordering = <term ordering>
% 1.20/1.48 Conjectures : (F,X) equations = { inverse(x_plus_y) =
% 1.20/1.48 x_inverse_times_y_inverse } (1 equation(s))
% 1.20/1.48 time is now on
% 1.20/1.48
% 1.20/1.48 Initializing completion ...
% 1.20/1.48 New rule produced : [1] sum(X,additive_identity,X) -> true
% 1.20/1.48 Current number of equations to process: 0
% 1.20/1.48 Current number of ordered equations: 25
% 1.20/1.48 Current number of rules: 1
% 1.20/1.48 New rule produced : [2] sum(additive_identity,X,X) -> true
% 1.20/1.48 Current number of equations to process: 0
% 1.20/1.48 Current number of ordered equations: 24
% 1.20/1.48 Current number of rules: 2
% 1.20/1.48 New rule produced : [3] product(X,multiplicative_identity,X) -> true
% 1.20/1.48 Current number of equations to process: 0
% 1.20/1.48 Current number of ordered equations: 23
% 1.20/1.48 Current number of rules: 3
% 1.20/1.48 New rule produced : [4] sum(x,y,x_plus_y) -> true
% 1.20/1.48 Current number of equations to process: 0
% 1.20/1.48 Current number of ordered equations: 22
% 1.20/1.48 Current number of rules: 4
% 1.20/1.48 New rule produced : [5] product(multiplicative_identity,X,X) -> true
% 1.20/1.48 Current number of equations to process: 0
% 1.20/1.48 Current number of ordered equations: 21
% 1.20/1.48 Current number of rules: 5
% 1.20/1.48 New rule produced : [6] sum(X,inverse(X),multiplicative_identity) -> true
% 1.20/1.48 Current number of equations to process: 0
% 1.20/1.48 Current number of ordered equations: 20
% 1.20/1.48 Current number of rules: 6
% 1.20/1.48 New rule produced : [7] product(inverse(X),X,additive_identity) -> true
% 1.20/1.48 Current number of equations to process: 0
% 1.20/1.48 Current number of ordered equations: 19
% 1.20/1.48 Current number of rules: 7
% 1.20/1.48 New rule produced : [8] ifeq(A,A,B,C) -> B
% 1.20/1.48 Current number of equations to process: 0
% 1.20/1.48 Current number of ordered equations: 18
% 1.20/1.48 Current number of rules: 8
% 1.20/1.48 New rule produced : [9] ifeq2(A,A,B,C) -> B
% 1.20/1.48 Current number of equations to process: 0
% 1.20/1.48 Current number of ordered equations: 17
% 1.20/1.48 Current number of rules: 9
% 1.20/1.48 New rule produced : [10] sum(inverse(X),X,multiplicative_identity) -> true
% 1.20/1.48 Current number of equations to process: 0
% 1.20/1.48 Current number of ordered equations: 16
% 1.20/1.48 Current number of rules: 10
% 1.20/1.48 New rule produced : [11] product(X,inverse(X),additive_identity) -> true
% 1.20/1.48 Current number of equations to process: 0
% 1.20/1.48 Current number of ordered equations: 15
% 1.20/1.48 Current number of rules: 11
% 1.20/1.48 New rule produced : [12] sum(X,Y,add(X,Y)) -> true
% 1.20/1.48 Current number of equations to process: 0
% 1.20/1.48 Current number of ordered equations: 14
% 1.20/1.48 Current number of rules: 12
% 1.20/1.48 New rule produced :
% 1.20/1.48 [13] product(inverse(x),inverse(y),x_inverse_times_y_inverse) -> true
% 1.20/1.48 Current number of equations to process: 0
% 1.20/1.48 Current number of ordered equations: 13
% 1.20/1.48 Current number of rules: 13
% 1.20/1.48 New rule produced : [14] product(X,Y,multiply(X,Y)) -> true
% 1.20/1.48 Current number of equations to process: 0
% 1.20/1.48 Current number of ordered equations: 12
% 1.20/1.48 Current number of rules: 14
% 1.20/1.48 New rule produced : [15] ifeq(sum(X,Y,Z),true,sum(Y,X,Z),true) -> true
% 1.20/1.48 Current number of equations to process: 0
% 1.20/1.48 Current number of ordered equations: 11
% 1.20/1.48 Current number of rules: 15
% 1.20/1.48 New rule produced :
% 1.20/1.48 [16] ifeq(product(X,Y,Z),true,product(Y,X,Z),true) -> true
% 1.20/1.48 Current number of equations to process: 0
% 1.20/1.48 Current number of ordered equations: 10
% 1.20/1.48 Current number of rules: 16
% 1.20/1.48 New rule produced :
% 1.20/1.48 [17] ifeq2(product(X,Y,V),true,ifeq2(product(X,Y,U),true,U,V),V) -> V
% 1.20/1.48 Current number of equations to process: 0
% 1.20/1.48 Current number of ordered equations: 9
% 1.20/1.48 Current number of rules: 17
% 1.20/1.48 New rule produced :
% 1.20/1.48 [18] ifeq2(sum(X,Y,V),true,ifeq2(sum(X,Y,U),true,U,V),V) -> V
% 1.20/1.48 Current number of equations to process: 0
% 1.20/1.48 Current number of ordered equations: 8
% 1.20/1.48 Current number of rules: 18
% 1.20/1.48 New rule produced :
% 1.20/1.48 [19]
% 1.20/1.48 ifeq(product(Z,X,V2),true,ifeq(product(Y,X,V1),true,ifeq(sum(V1,V2,V4),true,
% 1.20/1.48 ifeq(sum(Y,Z,V3),true,
% 1.20/1.48 product(V3,X,V4),true),true),true),true)
% 1.20/1.48 -> true
% 1.20/1.48 Current number of equations to process: 0
% 1.20/1.48 Current number of ordered equations: 7
% 1.20/1.48 Current number of rules: 19
% 1.20/1.48 New rule produced :
% 1.20/1.48 [20]
% 1.20/1.48 ifeq(product(V3,X,V4),true,ifeq(product(Z,X,V2),true,ifeq(product(Y,X,V1),true,
% 1.20/1.48 ifeq(sum(Y,Z,V3),true,
% 1.20/1.48 sum(V1,V2,V4),true),true),true),true)
% 1.20/1.49 -> true
% 1.20/1.49 Current number of equations to process: 0
% 1.20/1.49 Current number of ordered equations: 6
% 1.20/1.49 Current number of rules: 20
% 1.20/1.49 New rule produced :
% 1.20/1.49 [21]
% 1.20/1.49 ifeq(product(X,V3,V4),true,ifeq(product(X,Z,V2),true,ifeq(product(X,Y,V1),true,
% 1.20/1.49 ifeq(sum(Y,Z,V3),true,
% 1.20/1.49 sum(V1,V2,V4),true),true),true),true)
% 1.20/1.49 -> true
% 1.20/1.49 Current number of equations to process: 0
% 1.20/1.49 Current number of ordered equations: 5
% 1.20/1.49 Current number of rules: 21
% 1.20/1.49 New rule produced :
% 1.20/1.49 [22]
% 1.20/1.49 ifeq(product(V1,V2,V4),true,ifeq(product(Y,Z,V3),true,ifeq(sum(X,Z,V2),true,
% 1.20/1.49 ifeq(sum(X,Y,V1),true,
% 1.20/1.49 sum(X,V3,V4),true),true),true),true)
% 1.20/1.49 -> true
% 1.20/1.49 Current number of equations to process: 0
% 1.20/1.49 Current number of ordered equations: 4
% 1.20/1.49 Current number of rules: 22
% 1.20/1.49 New rule produced :
% 1.20/1.49 [23]
% 1.20/1.49 ifeq(product(V1,V2,V4),true,ifeq(product(Y,Z,V3),true,ifeq(sum(Z,X,V2),true,
% 1.20/1.49 ifeq(sum(Y,X,V1),true,
% 1.20/1.49 sum(V3,X,V4),true),true),true),true)
% 1.20/1.49 -> true
% 1.20/1.49 Current number of equations to process: 0
% 1.20/1.49 Current number of ordered equations: 3
% 1.20/1.49 Current number of rules: 23
% 1.20/1.49 New rule produced :
% 1.20/1.49 [24]
% 1.20/1.49 ifeq(product(Y,Z,V3),true,ifeq(sum(X,V3,V4),true,ifeq(sum(X,Z,V2),true,
% 1.20/1.49 ifeq(sum(X,Y,V1),true,
% 1.20/1.49 product(V1,V2,V4),true),true),true),true)
% 1.20/1.49 -> true
% 1.20/1.49 Current number of equations to process: 0
% 1.20/1.49 Current number of ordered equations: 2
% 1.20/1.49 Current number of rules: 24
% 1.20/1.49 New rule produced :
% 1.20/1.49 [25]
% 1.20/1.49 ifeq(product(Y,Z,V3),true,ifeq(sum(V3,X,V4),true,ifeq(sum(Z,X,V2),true,
% 1.20/1.49 ifeq(sum(Y,X,V1),true,
% 1.20/1.49 product(V1,V2,V4),true),true),true),true)
% 1.20/1.49 -> true
% 1.20/1.49 Current number of equations to process: 0
% 1.20/1.49 Current number of ordered equations: 1
% 1.20/1.49 Current number of rules: 25
% 1.20/1.49 New rule produced :
% 1.20/1.49 [26]
% 1.20/1.49 ifeq(product(X,Z,V2),true,ifeq(product(X,Y,V1),true,ifeq(sum(V1,V2,V4),true,
% 1.20/1.49 ifeq(sum(Y,Z,V3),true,
% 1.20/1.49 product(X,V3,V4),true),true),true),true)
% 1.20/1.49 -> true
% 1.20/1.49 Current number of equations to process: 0
% 1.20/1.49 Current number of ordered equations: 0
% 1.20/1.49 Current number of rules: 26
% 1.20/1.49 New rule produced : [27] sum(y,x,x_plus_y) -> true
% 1.20/1.49 Current number of equations to process: 1
% 1.20/1.49 Current number of ordered equations: 0
% 1.20/1.49 Current number of rules: 27
% 1.20/1.49 New rule produced : [28] sum(A,B,add(B,A)) -> true
% 1.20/1.49 Current number of equations to process: 1
% 1.20/1.49 Current number of ordered equations: 0
% 1.20/1.49 Current number of rules: 28
% 1.20/1.49 New rule produced :
% 1.20/1.49 [29] product(inverse(y),inverse(x),x_inverse_times_y_inverse) -> true
% 1.20/1.49 Current number of equations to process: 1
% 1.20/1.49 Current number of ordered equations: 0
% 1.20/1.49 Current number of rules: 29
% 1.20/1.49 New rule produced : [30] product(A,B,multiply(B,A)) -> true
% 1.20/1.49 Current number of equations to process: 2
% 1.20/1.49 Current number of ordered equations: 0
% 1.20/1.49 Current number of rules: 30
% 1.20/1.49 New rule produced :
% 1.20/1.49 [31] ifeq2(product(A,multiplicative_identity,B),true,B,A) -> A
% 1.20/1.49 Current number of equations to process: 0
% 1.20/1.49 Current number of ordered equations: 1
% 1.20/1.49 Current number of rules: 31
% 1.20/1.49 New rule produced :
% 1.20/1.49 [32] ifeq2(product(A,multiplicative_identity,B),true,A,B) -> B
% 1.20/1.49 Current number of equations to process: 0
% 1.20/1.49 Current number of ordered equations: 0
% 1.20/1.49 Current number of rules: 32
% 1.20/1.49 New rule produced :
% 1.20/1.49 [33] ifeq2(product(multiplicative_identity,A,B),true,B,A) -> A
% 1.20/1.49 Current number of equations to process: 0
% 1.20/1.49 Current number of ordered equations: 1
% 1.20/1.49 Current number of rules: 33
% 1.20/1.49 New rule produced :
% 1.20/1.49 [34] ifeq2(product(multiplicative_identity,A,B),true,A,B) -> B
% 1.20/1.49 Current number of equations to process: 0
% 1.20/1.49 Current number of ordered equations: 0
% 1.20/1.49 Current number of rules: 34
% 1.20/1.49 New rule produced :
% 1.20/1.49 [35]
% 1.20/1.49 ifeq2(product(inverse(A),A,B),true,B,additive_identity) -> additive_identity
% 1.20/1.49 Current number of equations to process: 0
% 1.20/1.50 Current number of ordered equations: 1
% 1.20/1.50 Current number of rules: 35
% 1.20/1.50 New rule produced :
% 1.20/1.50 [36] ifeq2(product(inverse(A),A,B),true,additive_identity,B) -> B
% 1.20/1.50 Current number of equations to process: 0
% 1.20/1.50 Current number of ordered equations: 0
% 1.20/1.50 Current number of rules: 36
% 1.20/1.50 New rule produced :
% 1.20/1.50 [37]
% 1.20/1.50 ifeq2(product(A,inverse(A),B),true,B,additive_identity) -> additive_identity
% 1.20/1.50 Current number of equations to process: 0
% 1.20/1.50 Current number of ordered equations: 1
% 1.20/1.50 Current number of rules: 37
% 1.20/1.50 New rule produced :
% 1.20/1.50 [38] ifeq2(product(A,inverse(A),B),true,additive_identity,B) -> B
% 1.20/1.50 Current number of equations to process: 0
% 1.20/1.50 Current number of ordered equations: 0
% 1.20/1.50 Current number of rules: 38
% 1.20/1.50 New rule produced :
% 1.20/1.50 [39]
% 1.20/1.50 ifeq2(product(inverse(x),inverse(y),A),true,A,x_inverse_times_y_inverse) ->
% 1.20/1.50 x_inverse_times_y_inverse
% 1.20/1.50 Current number of equations to process: 0
% 1.20/1.50 Current number of ordered equations: 1
% 1.20/1.50 Current number of rules: 39
% 1.20/1.50 New rule produced :
% 1.20/1.50 [40]
% 1.20/1.50 ifeq2(product(inverse(x),inverse(y),A),true,x_inverse_times_y_inverse,A) -> A
% 1.20/1.50 Current number of equations to process: 0
% 1.20/1.50 Current number of ordered equations: 0
% 1.20/1.50 Current number of rules: 40
% 1.20/1.50 New rule produced : [41] ifeq2(product(A,B,C),true,multiply(A,B),C) -> C
% 1.20/1.50 Current number of equations to process: 1
% 1.20/1.50 Current number of ordered equations: 0
% 1.20/1.50 Current number of rules: 41
% 1.20/1.50 New rule produced :
% 1.20/1.50 [42] ifeq2(product(A,B,C),true,C,multiply(A,B)) -> multiply(A,B)
% 1.20/1.50 Current number of equations to process: 0
% 1.20/1.50 Current number of ordered equations: 0
% 1.20/1.50 Current number of rules: 42
% 1.20/1.50 New rule produced : [43] ifeq2(sum(A,additive_identity,B),true,B,A) -> A
% 1.20/1.50 Current number of equations to process: 0
% 1.20/1.50 Current number of ordered equations: 1
% 1.20/1.50 Current number of rules: 43
% 1.20/1.50 New rule produced : [44] ifeq2(sum(A,additive_identity,B),true,A,B) -> B
% 1.20/1.50 Current number of equations to process: 0
% 1.20/1.50 Current number of ordered equations: 0
% 1.20/1.50 Current number of rules: 44
% 1.20/1.50 New rule produced : [45] ifeq2(sum(additive_identity,A,B),true,B,A) -> A
% 1.20/1.50 Current number of equations to process: 0
% 1.20/1.50 Current number of ordered equations: 1
% 1.20/1.50 Current number of rules: 45
% 1.20/1.50 New rule produced : [46] ifeq2(sum(additive_identity,A,B),true,A,B) -> B
% 1.20/1.50 Current number of equations to process: 0
% 1.20/1.50 Current number of ordered equations: 0
% 1.20/1.50 Current number of rules: 46
% 1.20/1.50 New rule produced : [47] ifeq2(sum(x,y,A),true,A,x_plus_y) -> x_plus_y
% 1.20/1.50 Current number of equations to process: 0
% 1.20/1.50 Current number of ordered equations: 1
% 1.20/1.50 Current number of rules: 47
% 1.20/1.50 New rule produced : [48] ifeq2(sum(x,y,A),true,x_plus_y,A) -> A
% 1.20/1.50 Current number of equations to process: 0
% 1.20/1.50 Current number of ordered equations: 0
% 1.20/1.50 Current number of rules: 48
% 1.20/1.50 New rule produced :
% 1.20/1.50 [49]
% 1.20/1.50 ifeq2(sum(A,inverse(A),B),true,B,multiplicative_identity) ->
% 1.20/1.50 multiplicative_identity
% 1.20/1.50 Current number of equations to process: 0
% 1.20/1.50 Current number of ordered equations: 1
% 1.20/1.50 Current number of rules: 49
% 1.20/1.50 New rule produced :
% 1.20/1.50 [50] ifeq2(sum(A,inverse(A),B),true,multiplicative_identity,B) -> B
% 1.20/1.50 Current number of equations to process: 0
% 1.20/1.50 Current number of ordered equations: 0
% 1.20/1.50 Current number of rules: 50
% 1.20/1.50 New rule produced :
% 1.20/1.50 [51]
% 1.20/1.50 ifeq2(sum(inverse(A),A,B),true,B,multiplicative_identity) ->
% 1.20/1.50 multiplicative_identity
% 1.20/1.50 Current number of equations to process: 0
% 1.20/1.50 Current number of ordered equations: 1
% 1.20/1.50 Current number of rules: 51
% 1.20/1.50 New rule produced :
% 1.20/1.50 [52] ifeq2(sum(inverse(A),A,B),true,multiplicative_identity,B) -> B
% 1.20/1.50 Current number of equations to process: 0
% 1.20/1.50 Current number of ordered equations: 0
% 1.20/1.50 Current number of rules: 52
% 1.20/1.50 New rule produced : [53] ifeq2(sum(A,B,C),true,add(A,B),C) -> C
% 1.20/1.50 Current number of equations to process: 1
% 1.20/1.50 Current number of ordered equations: 0
% 1.20/1.50 Current number of rules: 53
% 1.20/1.50 New rule produced : [54] ifeq2(sum(A,B,C),true,C,add(A,B)) -> add(A,B)
% 1.20/1.50 Current number of equations to process: 0
% 1.20/1.50 Current number of ordered equations: 0
% 1.20/1.50 Current number of rules: 54
% 1.20/1.50 New rule produced :
% 1.20/1.50 [55]
% 1.20/1.50 ifeq(product(additive_identity,A,B),true,ifeq(product(C,A,X),true,ifeq(
% 1.20/1.50 sum(X,B,Y),true,
% 1.20/1.50 product(C,A,Y),true),true),true)
% 1.20/1.50 -> true
% 1.20/1.50 Current number of equations to process: 28
% 1.20/1.50 Current number of ordered equations: 1
% 1.20/1.51 Current number of rules: 55
% 1.20/1.51 New rule produced :
% 1.20/1.51 [56]
% 1.20/1.51 ifeq(product(A,B,additive_identity),true,ifeq(product(C,B,X),true,ifeq(
% 1.20/1.51 sum(C,A,Y),true,
% 1.20/1.51 product(Y,B,X),true),true),true)
% 1.20/1.51 -> true
% 1.20/1.51 Current number of equations to process: 28
% 1.20/1.51 Current number of ordered equations: 0
% 1.20/1.51 Current number of rules: 56
% 1.20/1.51 New rule produced :
% 1.20/1.51 [57]
% 1.20/1.51 ifeq(product(A,B,C),true,ifeq(product(X,B,additive_identity),true,ifeq(
% 1.20/1.51 sum(X,A,Y),true,
% 1.20/1.51 product(Y,B,C),true),true),true)
% 1.20/1.51 -> true
% 1.20/1.51 Current number of equations to process: 26
% 1.20/1.51 Current number of ordered equations: 1
% 1.20/1.51 Current number of rules: 57
% 1.20/1.51 New rule produced :
% 1.20/1.51 [58]
% 1.20/1.51 ifeq(product(A,B,C),true,ifeq(product(additive_identity,B,X),true,ifeq(
% 1.20/1.51 sum(X,C,Y),true,
% 1.20/1.51 product(A,B,Y),true),true),true)
% 1.20/1.51 -> true
% 1.20/1.51 Current number of equations to process: 26
% 1.20/1.51 Current number of ordered equations: 0
% 1.20/1.51 Current number of rules: 58
% 1.20/1.51 New rule produced :
% 1.20/1.51 [59]
% 1.20/1.51 ifeq(product(A,multiplicative_identity,B),true,ifeq(sum(B,C,X),true,ifeq(
% 1.20/1.51 sum(A,C,Y),true,
% 1.20/1.51 product(Y,multiplicative_identity,X),true),true),true)
% 1.20/1.51 -> true
% 1.20/1.51 Current number of equations to process: 24
% 1.20/1.51 Current number of ordered equations: 1
% 1.20/1.51 Current number of rules: 59
% 1.20/1.51 New rule produced :
% 1.20/1.51 [60]
% 1.20/1.51 ifeq(product(A,multiplicative_identity,B),true,ifeq(sum(C,B,X),true,ifeq(
% 1.20/1.51 sum(C,A,Y),true,
% 1.20/1.51 product(Y,multiplicative_identity,X),true),true),true)
% 1.20/1.51 -> true
% 1.20/1.51 Current number of equations to process: 24
% 1.20/1.51 Current number of ordered equations: 0
% 1.20/1.51 Current number of rules: 60
% 1.20/1.51 New rule produced :
% 1.20/1.51 [61]
% 1.20/1.51 ifeq(product(y,A,B),true,ifeq(product(x,A,C),true,ifeq(sum(C,B,X),true,
% 1.20/1.51 product(x_plus_y,A,X),true),true),true)
% 1.20/1.51 -> true
% 1.20/1.51 Current number of equations to process: 22
% 1.20/1.51 Current number of ordered equations: 1
% 1.20/1.51 Current number of rules: 61
% 1.20/1.51 New rule produced :
% 1.20/1.51 [62]
% 1.20/1.51 ifeq(product(A,B,y),true,ifeq(product(C,B,x),true,ifeq(sum(C,A,X),true,
% 1.20/1.51 product(X,B,x_plus_y),true),true),true)
% 1.20/1.51 -> true
% 1.20/1.51 Current number of equations to process: 22
% 1.20/1.51 Current number of ordered equations: 0
% 1.20/1.51 Current number of rules: 62
% 1.20/1.51 New rule produced :
% 1.20/1.51 [63]
% 1.20/1.51 ifeq(product(A,B,C),true,ifeq(sum(C,B,X),true,ifeq(sum(A,multiplicative_identity,Y),true,
% 1.20/1.51 product(Y,B,X),true),true),true)
% 1.20/1.51 -> true
% 1.20/1.51 Current number of equations to process: 20
% 1.20/1.51 Current number of ordered equations: 1
% 1.20/1.51 Current number of rules: 63
% 1.20/1.51 New rule produced :
% 1.20/1.51 [64]
% 1.20/1.51 ifeq(product(A,B,C),true,ifeq(sum(B,C,X),true,ifeq(sum(multiplicative_identity,A,Y),true,
% 1.20/1.51 product(Y,B,X),true),true),true)
% 1.20/1.51 -> true
% 1.20/1.51 Current number of equations to process: 20
% 1.20/1.51 Current number of ordered equations: 0
% 1.20/1.51 Current number of rules: 64
% 1.20/1.51 New rule produced :
% 1.20/1.51 [65]
% 1.20/1.51 ifeq(product(A,B,inverse(C)),true,ifeq(product(X,B,C),true,ifeq(sum(X,A,Y),true,
% 1.20/1.51 product(Y,B,multiplicative_identity),true),true),true)
% 1.20/1.51 -> true
% 1.20/1.51 Current number of equations to process: 18
% 1.20/1.51 Current number of ordered equations: 1
% 1.20/1.51 Current number of rules: 65
% 1.20/1.51 New rule produced :
% 1.20/1.51 [66]
% 1.20/1.51 ifeq(product(inverse(A),B,C),true,ifeq(product(A,B,X),true,ifeq(sum(X,C,Y),true,
% 1.20/1.51 product(multiplicative_identity,B,Y),true),true),true)
% 1.20/1.51 -> true
% 1.20/1.51 Current number of equations to process: 18
% 1.20/1.51 Current number of ordered equations: 0
% 1.20/1.51 Current number of rules: 66
% 1.20/1.51 New rule produced :
% 1.20/1.51 [67]
% 1.20/1.51 ifeq(product(A,B,C),true,ifeq(sum(C,additive_identity,X),true,ifeq(sum(A,
% 1.20/1.52 inverse(B),Y),true,
% 1.20/1.52 product(Y,B,X),true),true),true)
% 1.20/1.52 -> true
% 1.20/1.52 Current number of equations to process: 16
% 1.20/1.52 Current number of ordered equations: 1
% 1.20/1.52 Current number of rules: 67
% 1.20/1.52 New rule produced :
% 1.20/1.52 [68]
% 1.20/1.52 ifeq(product(A,B,C),true,ifeq(sum(additive_identity,C,X),true,ifeq(sum(
% 1.20/1.52 inverse(B),A,Y),true,
% 1.20/1.52 product(Y,B,X),true),true),true)
% 1.20/1.52 -> true
% 1.20/1.52 Current number of equations to process: 16
% 1.20/1.52 Current number of ordered equations: 0
% 1.20/1.52 Current number of rules: 68
% 1.20/1.52 New rule produced :
% 1.20/1.52 [69]
% 1.20/1.52 ifeq(product(A,B,C),true,ifeq(product(X,B,inverse(C)),true,ifeq(sum(X,A,Y),true,
% 1.20/1.52 product(Y,B,multiplicative_identity),true),true),true)
% 1.20/1.52 -> true
% 1.20/1.52 Current number of equations to process: 14
% 1.20/1.52 Current number of ordered equations: 1
% 1.20/1.52 Current number of rules: 69
% 1.20/1.52 New rule produced :
% 1.20/1.52 [70]
% 1.20/1.52 ifeq(product(A,B,C),true,ifeq(product(inverse(A),B,X),true,ifeq(sum(X,C,Y),true,
% 1.20/1.52 product(multiplicative_identity,B,Y),true),true),true)
% 1.20/1.52 -> true
% 1.20/1.52 Current number of equations to process: 14
% 1.20/1.52 Current number of ordered equations: 0
% 1.20/1.52 Current number of rules: 70
% 1.20/1.52 New rule produced :
% 1.20/1.52 [71]
% 1.20/1.52 ifeq(product(A,inverse(B),C),true,ifeq(sum(C,additive_identity,X),true,
% 1.20/1.52 ifeq(sum(A,B,Y),true,product(Y,inverse(B),X),true),true),true)
% 1.20/1.52 -> true
% 1.20/1.52 Current number of equations to process: 12
% 1.20/1.52 Current number of ordered equations: 1
% 1.20/1.52 Current number of rules: 71
% 1.20/1.52 New rule produced :
% 1.20/1.52 [72]
% 1.20/1.52 ifeq(product(A,inverse(B),C),true,ifeq(sum(additive_identity,C,X),true,
% 1.20/1.52 ifeq(sum(B,A,Y),true,product(Y,inverse(B),X),true),true),true)
% 1.20/1.52 -> true
% 1.20/1.52 Current number of equations to process: 12
% 1.20/1.52 Current number of ordered equations: 0
% 1.20/1.52 Current number of rules: 72
% 1.20/1.52 New rule produced :
% 1.20/1.52 [73]
% 1.20/1.52 ifeq(product(A,B,C),true,ifeq(product(X,B,Y),true,ifeq(sum(X,A,Z),true,
% 1.20/1.52 product(Z,B,add(Y,C)),true),true),true)
% 1.20/1.52 -> true
% 1.20/1.52 Current number of equations to process: 10
% 1.20/1.52 Current number of ordered equations: 1
% 1.20/1.52 Current number of rules: 73
% 1.20/1.52 New rule produced :
% 1.20/1.52 [74]
% 1.20/1.52 ifeq(product(A,B,C),true,ifeq(product(X,B,Y),true,ifeq(sum(Y,C,Z),true,
% 1.20/1.52 product(add(X,A),B,Z),true),true),true)
% 1.20/1.52 -> true
% 1.20/1.52 Current number of equations to process: 10
% 1.20/1.52 Current number of ordered equations: 0
% 1.20/1.52 Current number of rules: 74
% 1.20/1.52 New rule produced :
% 1.20/1.52 [75]
% 1.20/1.52 ifeq(product(A,B,C),true,ifeq(sum(C,multiply(X,B),Y),true,ifeq(sum(A,X,Z),true,
% 1.20/1.52 product(Z,B,Y),true),true),true)
% 1.20/1.52 -> true
% 1.20/1.52 Current number of equations to process: 8
% 1.20/1.52 Current number of ordered equations: 1
% 1.20/1.52 Current number of rules: 75
% 1.20/1.52 New rule produced :
% 1.20/1.52 [76]
% 1.20/1.52 ifeq(product(A,B,C),true,ifeq(sum(multiply(X,B),C,Y),true,ifeq(sum(X,A,Z),true,
% 1.20/1.52 product(Z,B,Y),true),true),true)
% 1.20/1.52 -> true
% 1.20/1.52 Current number of equations to process: 8
% 1.20/1.52 Current number of ordered equations: 0
% 1.20/1.52 Current number of rules: 76
% 1.20/1.52 New rule produced :
% 1.20/1.52 [77]
% 1.20/1.52 ifeq(product(A,inverse(y),B),true,ifeq(sum(B,x_inverse_times_y_inverse,C),true,
% 1.20/1.52 ifeq(sum(A,inverse(x),X),true,product(X,
% 1.20/1.52 inverse(y),C),true),true),true)
% 1.20/1.52 -> true
% 1.20/1.52 Current number of equations to process: 6
% 1.20/1.52 Current number of ordered equations: 1
% 1.20/1.52 Current number of rules: 77
% 1.20/1.52 New rule produced :
% 1.20/1.52 [78]
% 1.20/1.52 ifeq(product(A,inverse(y),B),true,ifeq(sum(x_inverse_times_y_inverse,B,C),true,
% 1.20/1.52 ifeq(sum(inverse(x),A,X),true,product(X,
% 1.20/1.52 inverse(y),C),true),true),true)
% 1.20/1.52 -> true
% 1.20/1.52 Current number of equations to process: 6
% 1.20/1.52 Current number of ordered equations: 0
% 1.20/1.52 Current number of rules: 78
% 1.20/1.52 New rule produced :
% 1.20/1.52 [79]
% 1.20/1.52 ifeq(product(A,multiplicative_identity,B),true,ifeq(product(C,multiplicative_identity,X),true,
% 1.20/1.55 ifeq(sum(X,B,Y),true,ifeq(
% 1.20/1.55 sum(C,A,Y),true,true,true),true),true),true)
% 1.20/1.55 -> true
% 1.20/1.55 Current number of equations to process: 5
% 1.20/1.55 Current number of ordered equations: 0
% 1.20/1.55 Current number of rules: 79
% 1.20/1.55 New rule produced :
% 1.20/1.55 [80]
% 1.20/1.55 ifeq(product(A,B,C),true,ifeq(product(X,B,Y),true,ifeq(sum(Y,C,B),true,
% 1.20/1.55 ifeq(sum(X,A,multiplicative_identity),true,true,true),true),true),true)
% 1.20/1.55 -> true
% 1.20/1.55 Current number of equations to process: 4
% 1.20/1.55 Current number of ordered equations: 0
% 1.20/1.55 Current number of rules: 80
% 1.20/1.55 New rule produced :
% 1.20/1.55 [81]
% 1.20/1.55 ifeq(product(A,B,C),true,ifeq(product(X,B,Y),true,ifeq(sum(Y,C,additive_identity),true,
% 1.20/1.55 ifeq(sum(X,A,inverse(B)),true,true,true),true),true),true)
% 1.20/1.55 -> true
% 1.20/1.55 Current number of equations to process: 3
% 1.20/1.55 Current number of ordered equations: 0
% 1.20/1.55 Current number of rules: 81
% 1.20/1.55 New rule produced :
% 1.20/1.55 [82]
% 1.20/1.55 ifeq(product(A,inverse(B),C),true,ifeq(product(X,inverse(B),Y),true,ifeq(
% 1.20/1.55 sum(Y,C,additive_identity),true,
% 1.20/1.55 ifeq(
% 1.20/1.55 sum(X,A,B),true,true,true),true),true),true)
% 1.20/1.55 -> true
% 1.20/1.55 Current number of equations to process: 2
% 1.20/1.55 Current number of ordered equations: 0
% 1.20/1.55 Current number of rules: 82
% 1.20/1.55 New rule produced :
% 1.20/1.55 [83]
% 1.20/1.55 ifeq(product(A,B,C),true,ifeq(product(X,B,Y),true,ifeq(sum(Y,C,multiply(Z,B)),true,
% 1.20/1.55 ifeq(sum(X,A,Z),true,true,true),true),true),true)
% 1.20/1.55 -> true
% 1.20/1.55 Current number of equations to process: 1
% 1.20/1.55 Current number of ordered equations: 0
% 1.20/1.55 Current number of rules: 83
% 1.20/1.55 New rule produced :
% 1.20/1.55 [84]
% 1.20/1.55 ifeq(product(A,B,A),true,ifeq(product(C,B,X),true,ifeq(product(X,B,C),true,true,true),true),true)
% 1.20/1.55 -> true
% 1.20/1.55 Current number of equations to process: 31
% 1.20/1.55 Current number of ordered equations: 0
% 1.20/1.55 Current number of rules: 84
% 1.20/1.55 New rule produced :
% 1.20/1.55 [85]
% 1.20/1.55 ifeq(product(A,B,C),true,ifeq(product(additive_identity,B,X),true,ifeq(
% 1.20/1.55 product(A,B,Y),true,
% 1.20/1.55 sum(Y,X,C),true),true),true)
% 1.20/1.55 -> true
% 1.20/1.55 Current number of equations to process: 30
% 1.20/1.55 Current number of ordered equations: 0
% 1.20/1.55 Current number of rules: 85
% 1.20/1.55 New rule produced :
% 1.20/1.55 [86]
% 1.20/1.55 ifeq(product(A,B,C),true,ifeq(product(A,B,X),true,ifeq(product(additive_identity,B,Y),true,
% 1.20/1.55 sum(Y,X,C),true),true),true)
% 1.20/1.55 -> true
% 1.20/1.55 Current number of equations to process: 29
% 1.20/1.55 Current number of ordered equations: 0
% 1.20/1.55 Current number of rules: 86
% 1.20/1.55 New rule produced :
% 1.20/1.55 [87]
% 1.20/1.55 ifeq(product(A,multiplicative_identity,B),true,ifeq(product(C,multiplicative_identity,X),true,
% 1.20/1.55 ifeq(sum(C,A,Y),true,sum(X,B,Y),true),true),true)
% 1.20/1.55 -> true
% 1.20/1.55 Current number of equations to process: 26
% 1.20/1.55 Current number of ordered equations: 2
% 1.20/1.55 Current number of rules: 87
% 1.20/1.55 New rule produced :
% 1.20/1.55 [88]
% 1.20/1.55 ifeq(product(A,multiplicative_identity,B),true,ifeq(product(C,multiplicative_identity,X),true,
% 1.20/1.55 ifeq(sum(C,Y,A),true,sum(X,Y,B),true),true),true)
% 1.20/1.55 -> true
% 1.20/1.55 Current number of equations to process: 26
% 1.20/1.55 Current number of ordered equations: 1
% 1.20/1.55 Current number of rules: 88
% 1.20/1.55 New rule produced :
% 1.20/1.55 [89]
% 1.20/1.55 ifeq(product(A,multiplicative_identity,B),true,ifeq(product(C,multiplicative_identity,X),true,
% 1.20/1.55 ifeq(sum(Y,C,A),true,sum(Y,X,B),true),true),true)
% 1.20/1.55 -> true
% 1.20/1.55 Current number of equations to process: 26
% 1.20/1.55 Current number of ordered equations: 0
% 1.20/1.55 Current number of rules: 89
% 1.20/1.55 New rule produced :
% 1.20/1.55 [90]
% 1.20/1.55 ifeq(product(x_plus_y,A,B),true,ifeq(product(y,A,C),true,ifeq(product(x,A,X),true,
% 1.20/1.55 sum(X,C,B),true),true),true)
% 1.20/1.55 -> true
% 1.20/1.55 Current number of equations to process: 25
% 1.20/1.55 Current number of ordered equations: 0
% 1.20/1.57 Current number of rules: 90
% 1.20/1.57 New rule produced :
% 1.20/1.57 [91]
% 1.20/1.57 ifeq(product(A,B,C),true,ifeq(product(X,B,Y),true,ifeq(sum(X,A,multiplicative_identity),true,
% 1.20/1.57 sum(Y,C,B),true),true),true)
% 1.20/1.57 -> true
% 1.20/1.57 Current number of equations to process: 22
% 1.20/1.57 Current number of ordered equations: 2
% 1.20/1.57 Current number of rules: 91
% 1.20/1.57 New rule produced :
% 1.20/1.57 [92]
% 1.20/1.57 ifeq(product(A,B,C),true,ifeq(product(X,B,Y),true,ifeq(sum(X,multiplicative_identity,A),true,
% 1.20/1.57 sum(Y,B,C),true),true),true)
% 1.20/1.57 -> true
% 1.20/1.57 Current number of equations to process: 22
% 1.20/1.57 Current number of ordered equations: 1
% 1.20/1.57 Current number of rules: 92
% 1.20/1.57 New rule produced :
% 1.20/1.57 [93]
% 1.20/1.57 ifeq(product(A,B,C),true,ifeq(product(X,B,Y),true,ifeq(sum(multiplicative_identity,X,A),true,
% 1.20/1.57 sum(B,Y,C),true),true),true)
% 1.20/1.57 -> true
% 1.20/1.57 Current number of equations to process: 22
% 1.20/1.57 Current number of ordered equations: 0
% 1.20/1.57 Current number of rules: 93
% 1.20/1.57 New rule produced :
% 1.20/1.57 [94]
% 1.20/1.57 ifeq(product(multiplicative_identity,A,B),true,ifeq(product(inverse(C),A,X),true,
% 1.20/1.57 ifeq(product(C,A,Y),true,
% 1.20/1.57 sum(Y,X,B),true),true),true)
% 1.20/1.57 -> true
% 1.20/1.57 Current number of equations to process: 21
% 1.20/1.57 Current number of ordered equations: 0
% 1.20/1.57 Current number of rules: 94
% 1.20/1.57 New rule produced :
% 1.20/1.57 [95]
% 1.20/1.57 ifeq(product(A,B,C),true,ifeq(product(X,B,Y),true,ifeq(sum(X,A,inverse(B)),true,
% 1.20/1.57 sum(Y,C,additive_identity),true),true),true)
% 1.20/1.57 -> true
% 1.20/1.57 Current number of equations to process: 18
% 1.20/1.57 Current number of ordered equations: 2
% 1.20/1.57 Current number of rules: 95
% 1.20/1.57 New rule produced :
% 1.20/1.57 [96]
% 1.20/1.57 ifeq(product(A,B,C),true,ifeq(product(X,B,Y),true,ifeq(sum(X,inverse(B),A),true,
% 1.20/1.57 sum(Y,additive_identity,C),true),true),true)
% 1.20/1.57 -> true
% 1.20/1.57 Current number of equations to process: 18
% 1.20/1.57 Current number of ordered equations: 1
% 1.20/1.57 Current number of rules: 96
% 1.20/1.57 New rule produced :
% 1.20/1.57 [97]
% 1.20/1.57 ifeq(product(A,B,C),true,ifeq(product(X,B,Y),true,ifeq(sum(inverse(B),X,A),true,
% 1.20/1.57 sum(additive_identity,Y,C),true),true),true)
% 1.20/1.57 -> true
% 1.20/1.57 Current number of equations to process: 18
% 1.20/1.57 Current number of ordered equations: 0
% 1.20/1.57 Current number of rules: 97
% 1.20/1.57 New rule produced :
% 1.20/1.57 [98]
% 1.20/1.57 ifeq(product(multiplicative_identity,A,B),true,ifeq(product(C,A,X),true,
% 1.20/1.57 ifeq(product(inverse(C),A,Y),true,
% 1.20/1.57 sum(Y,X,B),true),true),true)
% 1.20/1.57 -> true
% 1.20/1.57 Current number of equations to process: 17
% 1.20/1.57 Current number of ordered equations: 0
% 1.20/1.57 Current number of rules: 98
% 1.20/1.57 New rule produced :
% 1.20/1.57 [99]
% 1.20/1.57 ifeq(product(A,inverse(B),C),true,ifeq(product(X,inverse(B),Y),true,ifeq(
% 1.20/1.57 sum(X,A,B),true,
% 1.20/1.57 sum(Y,C,additive_identity),true),true),true)
% 1.20/1.57 -> true
% 1.20/1.57 Current number of equations to process: 14
% 1.20/1.57 Current number of ordered equations: 2
% 1.20/1.57 Current number of rules: 99
% 1.20/1.57 New rule produced :
% 1.20/1.57 [100]
% 1.20/1.57 ifeq(product(A,inverse(B),C),true,ifeq(product(X,inverse(B),Y),true,ifeq(
% 1.20/1.57 sum(X,B,A),true,
% 1.20/1.57 sum(Y,additive_identity,C),true),true),true)
% 1.20/1.57 -> true
% 1.20/1.57 Current number of equations to process: 14
% 1.20/1.57 Current number of ordered equations: 1
% 1.20/1.57 Current number of rules: 100
% 1.20/1.57 New rule produced :
% 1.20/1.57 [101]
% 1.20/1.57 ifeq(product(A,inverse(B),C),true,ifeq(product(X,inverse(B),Y),true,ifeq(
% 1.20/1.57 sum(B,X,A),true,
% 1.20/1.57 sum(additive_identity,Y,C),true),true),true)
% 1.20/1.57 -> true
% 1.20/1.57 Current number of equations to process: 14
% 1.20/1.57 Current number of ordered equations: 0
% 1.20/1.57 Current number of rules: 101
% 1.20/1.57 New rule produced :
% 1.20/1.57 [102]
% 1.20/1.57 ifeq(product(add(A,B),C,X),true,ifeq(product(B,C,Y),true,ifeq(product(A,C,Z),true,
% 1.20/1.57 sum(Z,Y,X),true),true),true)
% 1.20/1.59 -> true
% 1.20/1.59 Current number of equations to process: 13
% 1.20/1.59 Current number of ordered equations: 0
% 1.20/1.59 Current number of rules: 102
% 1.20/1.59 New rule produced :
% 1.20/1.59 [103]
% 1.20/1.59 ifeq(product(A,B,C),true,ifeq(product(X,B,Y),true,ifeq(sum(X,A,Z),true,
% 1.20/1.59 sum(Y,C,multiply(Z,B)),true),true),true)
% 1.20/1.59 -> true
% 1.20/1.59 Current number of equations to process: 10
% 1.20/1.59 Current number of ordered equations: 2
% 1.20/1.59 Current number of rules: 103
% 1.20/1.59 New rule produced :
% 1.20/1.59 [104]
% 1.20/1.59 ifeq(product(A,B,C),true,ifeq(product(X,B,Y),true,ifeq(sum(X,Z,A),true,
% 1.20/1.59 sum(Y,multiply(Z,B),C),true),true),true)
% 1.20/1.59 -> true
% 1.20/1.59 Current number of equations to process: 10
% 1.20/1.59 Current number of ordered equations: 1
% 1.20/1.59 Current number of rules: 104
% 1.20/1.59 New rule produced :
% 1.20/1.59 [105]
% 1.20/1.59 ifeq(product(A,B,C),true,ifeq(product(X,B,Y),true,ifeq(sum(Z,X,A),true,
% 1.20/1.59 sum(multiply(Z,B),Y,C),true),true),true)
% 1.20/1.59 -> true
% 1.20/1.59 Current number of equations to process: 10
% 1.20/1.59 Current number of ordered equations: 0
% 1.20/1.59 Current number of rules: 105
% 1.20/1.59 New rule produced :
% 1.20/1.59 [106]
% 1.20/1.59 ifeq(product(A,inverse(y),B),true,ifeq(product(C,inverse(y),X),true,ifeq(
% 1.20/1.59 sum(C,A,
% 1.20/1.59 inverse(x)),true,
% 1.20/1.59 sum(X,B,x_inverse_times_y_inverse),true),true),true)
% 1.20/1.59 -> true
% 1.20/1.59 Current number of equations to process: 7
% 1.20/1.59 Current number of ordered equations: 2
% 1.20/1.59 Current number of rules: 106
% 1.20/1.59 New rule produced :
% 1.20/1.59 [107]
% 1.20/1.59 ifeq(product(A,inverse(y),B),true,ifeq(product(C,inverse(y),X),true,ifeq(
% 1.20/1.59 sum(C,
% 1.20/1.59 inverse(x),A),true,
% 1.20/1.59 sum(X,x_inverse_times_y_inverse,B),true),true),true)
% 1.20/1.59 -> true
% 1.20/1.59 Current number of equations to process: 7
% 1.20/1.59 Current number of ordered equations: 1
% 1.20/1.59 Current number of rules: 107
% 1.20/1.59 New rule produced :
% 1.20/1.59 [108]
% 1.20/1.59 ifeq(product(A,inverse(y),B),true,ifeq(product(C,inverse(y),X),true,ifeq(
% 1.20/1.59 sum(
% 1.20/1.59 inverse(x),C,A),true,
% 1.20/1.59 sum(x_inverse_times_y_inverse,X,B),true),true),true)
% 1.20/1.59 -> true
% 1.20/1.59 Current number of equations to process: 7
% 1.20/1.59 Current number of ordered equations: 0
% 1.20/1.59 Current number of rules: 108
% 1.20/1.59 New rule produced :
% 1.20/1.59 [109]
% 1.20/1.59 ifeq(product(A,B,C),true,ifeq(product(X,B,additive_identity),true,ifeq(
% 1.20/1.59 product(Y,B,C),true,
% 1.20/1.59 ifeq(
% 1.20/1.59 sum(Y,X,A),true,true,true),true),true),true)
% 1.20/1.59 -> true
% 1.20/1.59 Current number of equations to process: 6
% 1.20/1.59 Current number of ordered equations: 0
% 1.20/1.59 Current number of rules: 109
% 1.20/1.59 New rule produced :
% 1.20/1.59 [110]
% 1.20/1.59 ifeq(product(A,B,C),true,ifeq(product(X,B,C),true,ifeq(product(Y,B,additive_identity),true,
% 1.20/1.59 ifeq(sum(Y,X,A),true,true,true),true),true),true)
% 1.20/1.59 -> true
% 1.20/1.59 Current number of equations to process: 5
% 1.20/1.59 Current number of ordered equations: 0
% 1.20/1.59 Current number of rules: 110
% 1.20/1.59 New rule produced :
% 1.20/1.59 [111]
% 1.20/1.59 ifeq(product(A,B,x_plus_y),true,ifeq(product(C,B,y),true,ifeq(product(X,B,x),true,
% 1.20/1.59 ifeq(sum(X,C,A),true,true,true),true),true),true)
% 1.20/1.59 -> true
% 1.20/1.59 Current number of equations to process: 4
% 1.20/1.59 Current number of ordered equations: 0
% 1.20/1.59 Current number of rules: 111
% 1.20/1.59 New rule produced :
% 1.20/1.59 [112]
% 1.20/1.59 ifeq(product(A,B,multiplicative_identity),true,ifeq(product(C,B,inverse(X)),true,
% 1.20/1.59 ifeq(product(Y,B,X),true,
% 1.20/1.59 ifeq(sum(Y,C,A),true,true,true),true),true),true)
% 1.20/1.59 -> true
% 1.20/1.59 Current number of equations to process: 3
% 1.20/1.59 Current number of ordered equations: 0
% 1.36/1.64 Current number of rules: 112
% 1.36/1.64 New rule produced :
% 1.36/1.64 [113]
% 1.36/1.64 ifeq(product(A,B,multiplicative_identity),true,ifeq(product(C,B,X),true,
% 1.36/1.64 ifeq(product(Y,B,inverse(X)),true,
% 1.36/1.64 ifeq(sum(Y,C,A),true,true,true),true),true),true)
% 1.36/1.64 -> true
% 1.36/1.64 Current number of equations to process: 2
% 1.36/1.64 Current number of ordered equations: 0
% 1.36/1.64 Current number of rules: 113
% 1.36/1.64 New rule produced :
% 1.36/1.64 [114]
% 1.36/1.64 ifeq(product(A,B,add(C,X)),true,ifeq(product(Y,B,X),true,ifeq(product(Z,B,C),true,
% 1.36/1.64 ifeq(sum(Z,Y,A),true,true,true),true),true),true)
% 1.36/1.64 -> true
% 1.36/1.64 Current number of equations to process: 1
% 1.36/1.64 Current number of ordered equations: 0
% 1.36/1.64 Current number of rules: 114
% 1.36/1.64 New rule produced :
% 1.36/1.64 [115]
% 1.36/1.64 ifeq(product(A,B,B),true,ifeq(product(A,C,X),true,ifeq(product(A,X,C),true,true,true),true),true)
% 1.36/1.64 -> true
% 1.36/1.64 Current number of equations to process: 31
% 1.36/1.64 Current number of ordered equations: 0
% 1.36/1.64 Current number of rules: 115
% 1.36/1.64 New rule produced :
% 1.36/1.64 [116]
% 1.36/1.64 ifeq(product(A,B,C),true,ifeq(product(A,additive_identity,X),true,ifeq(
% 1.36/1.64 product(A,B,Y),true,
% 1.36/1.64 sum(Y,X,C),true),true),true)
% 1.36/1.64 -> true
% 1.36/1.64 Current number of equations to process: 30
% 1.36/1.64 Current number of ordered equations: 0
% 1.36/1.64 Current number of rules: 116
% 1.36/1.64 New rule produced :
% 1.36/1.64 [117]
% 1.36/1.64 ifeq(product(A,B,C),true,ifeq(product(A,B,X),true,ifeq(product(A,additive_identity,Y),true,
% 1.36/1.64 sum(Y,X,C),true),true),true)
% 1.36/1.64 -> true
% 1.36/1.64 Current number of equations to process: 29
% 1.36/1.64 Current number of ordered equations: 0
% 1.36/1.64 Current number of rules: 117
% 1.36/1.64 New rule produced :
% 1.36/1.64 [118]
% 1.36/1.64 ifeq(product(A,B,C),true,ifeq(product(A,X,Y),true,ifeq(sum(X,B,multiplicative_identity),true,
% 1.36/1.64 sum(Y,C,A),true),true),true)
% 1.36/1.64 -> true
% 1.36/1.64 Current number of equations to process: 26
% 1.36/1.64 Current number of ordered equations: 2
% 1.36/1.64 Current number of rules: 118
% 1.36/1.64 New rule produced :
% 1.36/1.64 [119]
% 1.36/1.64 ifeq(product(A,B,C),true,ifeq(product(A,X,Y),true,ifeq(sum(X,multiplicative_identity,B),true,
% 1.36/1.64 sum(Y,A,C),true),true),true)
% 1.36/1.64 -> true
% 1.36/1.64 Current number of equations to process: 26
% 1.36/1.64 Current number of ordered equations: 1
% 1.36/1.64 Current number of rules: 119
% 1.36/1.64 New rule produced :
% 1.36/1.64 [120]
% 1.36/1.64 ifeq(product(A,B,C),true,ifeq(product(A,X,Y),true,ifeq(sum(multiplicative_identity,X,B),true,
% 1.36/1.64 sum(A,Y,C),true),true),true)
% 1.36/1.64 -> true
% 1.36/1.64 Current number of equations to process: 26
% 1.36/1.64 Current number of ordered equations: 0
% 1.36/1.64 Current number of rules: 120
% 1.36/1.64 New rule produced :
% 1.36/1.64 [121]
% 1.36/1.64 ifeq(product(A,x_plus_y,B),true,ifeq(product(A,y,C),true,ifeq(product(A,x,X),true,
% 1.36/1.64 sum(X,C,B),true),true),true)
% 1.36/1.64 -> true
% 1.36/1.64 Current number of equations to process: 25
% 1.36/1.64 Current number of ordered equations: 0
% 1.36/1.64 Current number of rules: 121
% 1.36/1.64 New rule produced :
% 1.36/1.64 [122]
% 1.36/1.64 ifeq(product(multiplicative_identity,A,B),true,ifeq(product(multiplicative_identity,C,X),true,
% 1.36/1.64 ifeq(sum(C,A,Y),true,sum(X,B,Y),true),true),true)
% 1.36/1.64 -> true
% 1.36/1.64 Current number of equations to process: 22
% 1.36/1.64 Current number of ordered equations: 2
% 1.36/1.64 Current number of rules: 122
% 1.36/1.64 New rule produced :
% 1.36/1.64 [123]
% 1.36/1.64 ifeq(product(multiplicative_identity,A,B),true,ifeq(product(multiplicative_identity,C,X),true,
% 1.36/1.64 ifeq(sum(C,Y,A),true,sum(X,Y,B),true),true),true)
% 1.36/1.64 -> true
% 1.36/1.64 Current number of equations to process: 22
% 1.36/1.64 Current number of ordered equations: 1
% 1.36/1.64 Current number of rules: 123
% 1.36/1.64 New rule produced :
% 1.36/1.64 [124]
% 1.36/1.64 ifeq(product(multiplicative_identity,A,B),true,ifeq(product(multiplicative_identity,C,X),true,
% 1.36/1.64 ifeq(sum(Y,C,A),true,sum(Y,X,B),true),true),true)
% 1.36/1.64 -> true
% 1.36/1.64 Current number of equations to process: 22
% 1.36/1.64 Current number of ordered equations: 0
% 1.36/1.64 Current number of rules: 124
% 1.36/1.64 New rule produced :
% 1.36/1.64 [125]
% 1.36/1.64 ifeq(product(A,multiplicative_identity,B),true,ifeq(product(A,inverse(C),X),true,
% 1.36/1.67 ifeq(product(A,C,Y),true,
% 1.36/1.67 sum(Y,X,B),true),true),true)
% 1.36/1.67 -> true
% 1.36/1.67 Current number of equations to process: 21
% 1.36/1.67 Current number of ordered equations: 0
% 1.36/1.67 Current number of rules: 125
% 1.36/1.67 New rule produced :
% 1.36/1.67 [126]
% 1.36/1.67 ifeq(product(A,multiplicative_identity,B),true,ifeq(product(A,C,X),true,
% 1.36/1.67 ifeq(product(A,inverse(C),Y),true,
% 1.36/1.67 sum(Y,X,B),true),true),true)
% 1.36/1.67 -> true
% 1.36/1.67 Current number of equations to process: 20
% 1.36/1.67 Current number of ordered equations: 0
% 1.36/1.67 Current number of rules: 126
% 1.36/1.67 New rule produced :
% 1.36/1.67 [127]
% 1.36/1.67 ifeq(product(A,B,C),true,ifeq(product(A,X,Y),true,ifeq(sum(X,B,inverse(A)),true,
% 1.36/1.67 sum(Y,C,additive_identity),true),true),true)
% 1.36/1.67 -> true
% 1.36/1.67 Current number of equations to process: 17
% 1.36/1.67 Current number of ordered equations: 2
% 1.36/1.67 Current number of rules: 127
% 1.36/1.67 New rule produced :
% 1.36/1.67 [128]
% 1.36/1.67 ifeq(product(A,B,C),true,ifeq(product(A,X,Y),true,ifeq(sum(X,inverse(A),B),true,
% 1.36/1.67 sum(Y,additive_identity,C),true),true),true)
% 1.36/1.67 -> true
% 1.36/1.67 Current number of equations to process: 17
% 1.36/1.67 Current number of ordered equations: 1
% 1.36/1.67 Current number of rules: 128
% 1.36/1.67 New rule produced :
% 1.36/1.67 [129]
% 1.36/1.67 ifeq(product(A,B,C),true,ifeq(product(A,X,Y),true,ifeq(sum(inverse(A),X,B),true,
% 1.36/1.67 sum(additive_identity,Y,C),true),true),true)
% 1.36/1.67 -> true
% 1.36/1.67 Current number of equations to process: 17
% 1.36/1.67 Current number of ordered equations: 0
% 1.36/1.67 Current number of rules: 129
% 1.36/1.67 New rule produced :
% 1.36/1.67 [130]
% 1.36/1.67 ifeq(product(inverse(A),B,C),true,ifeq(product(inverse(A),X,Y),true,ifeq(
% 1.36/1.67 sum(X,B,A),true,
% 1.36/1.67 sum(Y,C,additive_identity),true),true),true)
% 1.36/1.67 -> true
% 1.36/1.67 Current number of equations to process: 14
% 1.36/1.67 Current number of ordered equations: 2
% 1.36/1.67 Current number of rules: 130
% 1.36/1.67 New rule produced :
% 1.36/1.67 [131]
% 1.36/1.67 ifeq(product(inverse(A),B,C),true,ifeq(product(inverse(A),X,Y),true,ifeq(
% 1.36/1.67 sum(X,A,B),true,
% 1.36/1.67 sum(Y,additive_identity,C),true),true),true)
% 1.36/1.67 -> true
% 1.36/1.67 Current number of equations to process: 14
% 1.36/1.67 Current number of ordered equations: 1
% 1.36/1.67 Current number of rules: 131
% 1.36/1.67 New rule produced :
% 1.36/1.67 [132]
% 1.36/1.67 ifeq(product(inverse(A),B,C),true,ifeq(product(inverse(A),X,Y),true,ifeq(
% 1.36/1.67 sum(A,X,B),true,
% 1.36/1.67 sum(additive_identity,Y,C),true),true),true)
% 1.36/1.67 -> true
% 1.36/1.67 Current number of equations to process: 14
% 1.36/1.67 Current number of ordered equations: 0
% 1.36/1.67 Current number of rules: 132
% 1.36/1.67 New rule produced :
% 1.36/1.67 [133]
% 1.36/1.67 ifeq(product(A,add(B,C),X),true,ifeq(product(A,C,Y),true,ifeq(product(A,B,Z),true,
% 1.36/1.67 sum(Z,Y,X),true),true),true)
% 1.36/1.67 -> true
% 1.36/1.67 Current number of equations to process: 13
% 1.36/1.67 Current number of ordered equations: 0
% 1.36/1.67 Current number of rules: 133
% 1.36/1.67 New rule produced :
% 1.36/1.67 [134]
% 1.36/1.67 ifeq(product(A,B,C),true,ifeq(product(A,X,Y),true,ifeq(sum(X,B,Z),true,
% 1.36/1.67 sum(Y,C,multiply(A,Z)),true),true),true)
% 1.36/1.67 -> true
% 1.36/1.67 Current number of equations to process: 10
% 1.36/1.67 Current number of ordered equations: 2
% 1.36/1.67 Current number of rules: 134
% 1.36/1.67 New rule produced :
% 1.36/1.67 [135]
% 1.36/1.67 ifeq(product(A,B,C),true,ifeq(product(A,X,Y),true,ifeq(sum(X,Z,B),true,
% 1.36/1.67 sum(Y,multiply(A,Z),C),true),true),true)
% 1.36/1.67 -> true
% 1.36/1.67 Current number of equations to process: 10
% 1.36/1.67 Current number of ordered equations: 1
% 1.36/1.67 Current number of rules: 135
% 1.36/1.67 New rule produced :
% 1.36/1.67 [136]
% 1.36/1.67 ifeq(product(A,B,C),true,ifeq(product(A,X,Y),true,ifeq(sum(Z,X,B),true,
% 1.36/1.67 sum(multiply(A,Z),Y,C),true),true),true)
% 1.36/1.67 -> true
% 1.36/1.67 Current number of equations to process: 10
% 1.36/1.67 Current number of ordered equations: 0
% 1.36/1.67 Current number of rules: 136
% 1.41/1.72 New rule produced :
% 1.41/1.72 [137]
% 1.41/1.72 ifeq(product(inverse(x),A,B),true,ifeq(product(inverse(x),C,X),true,ifeq(
% 1.41/1.72 sum(C,A,
% 1.41/1.72 inverse(y)),true,
% 1.41/1.72 sum(X,B,x_inverse_times_y_inverse),true),true),true)
% 1.41/1.72 -> true
% 1.41/1.72 Current number of equations to process: 7
% 1.41/1.72 Current number of ordered equations: 2
% 1.41/1.72 Current number of rules: 137
% 1.41/1.72 New rule produced :
% 1.41/1.72 [138]
% 1.41/1.72 ifeq(product(inverse(x),A,B),true,ifeq(product(inverse(x),C,X),true,ifeq(
% 1.41/1.72 sum(C,
% 1.41/1.72 inverse(y),A),true,
% 1.41/1.72 sum(X,x_inverse_times_y_inverse,B),true),true),true)
% 1.41/1.72 -> true
% 1.41/1.72 Current number of equations to process: 7
% 1.41/1.72 Current number of ordered equations: 1
% 1.41/1.72 Current number of rules: 138
% 1.41/1.72 New rule produced :
% 1.41/1.72 [139]
% 1.41/1.72 ifeq(product(inverse(x),A,B),true,ifeq(product(inverse(x),C,X),true,ifeq(
% 1.41/1.72 sum(
% 1.41/1.72 inverse(y),C,A),true,
% 1.41/1.72 sum(x_inverse_times_y_inverse,X,B),true),true),true)
% 1.41/1.72 -> true
% 1.41/1.72 Current number of equations to process: 7
% 1.41/1.72 Current number of ordered equations: 0
% 1.41/1.72 Current number of rules: 139
% 1.41/1.72 New rule produced :
% 1.41/1.72 [140]
% 1.41/1.72 ifeq(product(A,B,C),true,ifeq(product(A,X,additive_identity),true,ifeq(
% 1.41/1.72 product(A,Y,C),true,
% 1.41/1.72 ifeq(
% 1.41/1.72 sum(Y,X,B),true,true,true),true),true),true)
% 1.41/1.72 -> true
% 1.41/1.72 Current number of equations to process: 6
% 1.41/1.72 Current number of ordered equations: 0
% 1.41/1.72 Current number of rules: 140
% 1.41/1.72 New rule produced :
% 1.41/1.72 [141]
% 1.41/1.72 ifeq(product(A,B,C),true,ifeq(product(A,X,C),true,ifeq(product(A,Y,additive_identity),true,
% 1.41/1.73 ifeq(sum(Y,X,B),true,true,true),true),true),true)
% 1.41/1.73 -> true
% 1.41/1.73 Current number of equations to process: 5
% 1.41/1.73 Current number of ordered equations: 0
% 1.41/1.73 Current number of rules: 141
% 1.41/1.73 New rule produced :
% 1.41/1.73 [142]
% 1.41/1.73 ifeq(product(A,B,x_plus_y),true,ifeq(product(A,C,y),true,ifeq(product(A,X,x),true,
% 1.41/1.73 ifeq(sum(X,C,B),true,true,true),true),true),true)
% 1.41/1.73 -> true
% 1.41/1.73 Current number of equations to process: 4
% 1.41/1.73 Current number of ordered equations: 0
% 1.41/1.73 Current number of rules: 142
% 1.41/1.73 New rule produced :
% 1.41/1.73 [143]
% 1.41/1.73 ifeq(product(A,B,multiplicative_identity),true,ifeq(product(A,C,inverse(X)),true,
% 1.41/1.73 ifeq(product(A,Y,X),true,
% 1.41/1.73 ifeq(sum(Y,C,B),true,true,true),true),true),true)
% 1.41/1.73 -> true
% 1.41/1.73 Current number of equations to process: 3
% 1.41/1.73 Current number of ordered equations: 0
% 1.41/1.73 Current number of rules: 143
% 1.41/1.73 New rule produced :
% 1.41/1.73 [144]
% 1.41/1.73 ifeq(product(A,B,multiplicative_identity),true,ifeq(product(A,C,X),true,
% 1.41/1.73 ifeq(product(A,Y,inverse(X)),true,
% 1.41/1.73 ifeq(sum(Y,C,B),true,true,true),true),true),true)
% 1.41/1.73 -> true
% 1.41/1.73 Current number of equations to process: 2
% 1.41/1.73 Current number of ordered equations: 0
% 1.41/1.73 Current number of rules: 144
% 1.41/1.73 New rule produced :
% 1.41/1.73 [145]
% 1.41/1.73 ifeq(product(A,B,add(C,X)),true,ifeq(product(A,Y,X),true,ifeq(product(A,Z,C),true,
% 1.41/1.73 ifeq(sum(Z,Y,B),true,true,true),true),true),true)
% 1.41/1.73 -> true
% 1.41/1.73 Current number of equations to process: 1
% 1.41/1.73 Current number of ordered equations: 0
% 1.41/1.73 Current number of rules: 145
% 1.41/1.73 New rule produced :
% 1.41/1.73 [146]
% 1.41/1.73 ifeq(product(A,B,A),true,ifeq(product(C,X,C),true,ifeq(sum(C,X,B),true,true,true),true),true)
% 1.41/1.73 -> true
% 1.41/1.73 Current number of equations to process: 31
% 1.41/1.73 Current number of ordered equations: 0
% 1.41/1.73 Current number of rules: 146
% 1.41/1.73 New rule produced :
% 1.41/1.73 [147]
% 1.41/1.73 ifeq(product(A,B,C),true,ifeq(product(X,additive_identity,Y),true,ifeq(
% 1.49/1.76 sum(B,X,A),true,
% 1.49/1.76 sum(B,Y,C),true),true),true)
% 1.49/1.76 -> true
% 1.49/1.76 Current number of equations to process: 29
% 1.49/1.76 Current number of ordered equations: 1
% 1.49/1.76 Current number of rules: 147
% 1.49/1.76 New rule produced :
% 1.49/1.76 [148]
% 1.49/1.76 ifeq(product(A,B,C),true,ifeq(product(additive_identity,X,Y),true,ifeq(
% 1.49/1.76 sum(A,X,B),true,
% 1.49/1.76 sum(A,Y,C),true),true),true)
% 1.49/1.76 -> true
% 1.49/1.76 Current number of equations to process: 29
% 1.49/1.76 Current number of ordered equations: 0
% 1.49/1.76 Current number of rules: 148
% 1.49/1.76 New rule produced :
% 1.49/1.76 [149]
% 1.49/1.76 ifeq(product(A,B,C),true,ifeq(product(X,B,Y),true,ifeq(sum(additive_identity,X,A),true,
% 1.49/1.76 sum(additive_identity,Y,C),true),true),true)
% 1.49/1.76 -> true
% 1.49/1.76 Current number of equations to process: 27
% 1.49/1.76 Current number of ordered equations: 1
% 1.49/1.76 Current number of rules: 149
% 1.49/1.76 New rule produced :
% 1.49/1.76 [150]
% 1.49/1.76 ifeq(product(A,B,C),true,ifeq(product(A,X,Y),true,ifeq(sum(additive_identity,X,B),true,
% 1.49/1.76 sum(additive_identity,Y,C),true),true),true)
% 1.49/1.76 -> true
% 1.49/1.76 Current number of equations to process: 27
% 1.49/1.76 Current number of ordered equations: 0
% 1.49/1.76 Current number of rules: 150
% 1.49/1.76 New rule produced :
% 1.49/1.76 [151]
% 1.49/1.76 ifeq(product(A,B,C),true,ifeq(sum(X,B,multiplicative_identity),true,ifeq(
% 1.49/1.76 sum(X,A,Y),true,
% 1.49/1.76 sum(X,C,Y),true),true),true)
% 1.49/1.76 -> true
% 1.49/1.76 Current number of equations to process: 25
% 1.49/1.76 Current number of ordered equations: 1
% 1.49/1.76 Current number of rules: 151
% 1.49/1.76 New rule produced :
% 1.49/1.76 [152]
% 1.49/1.76 ifeq(product(A,B,C),true,ifeq(sum(X,multiplicative_identity,B),true,ifeq(
% 1.49/1.76 sum(X,Y,A),true,
% 1.49/1.76 sum(X,Y,C),true),true),true)
% 1.49/1.76 -> true
% 1.49/1.76 Current number of equations to process: 25
% 1.49/1.76 Current number of ordered equations: 0
% 1.49/1.76 Current number of rules: 152
% 1.49/1.76 New rule produced :
% 1.49/1.76 [153]
% 1.49/1.76 ifeq(product(A,x_plus_y,B),true,ifeq(product(C,y,X),true,ifeq(sum(x,C,A),true,
% 1.49/1.76 sum(x,X,B),true),true),true)
% 1.49/1.76 -> true
% 1.49/1.76 Current number of equations to process: 23
% 1.49/1.76 Current number of ordered equations: 1
% 1.49/1.76 Current number of rules: 153
% 1.49/1.76 New rule produced :
% 1.49/1.76 [154]
% 1.49/1.76 ifeq(product(x_plus_y,A,B),true,ifeq(product(y,C,X),true,ifeq(sum(x,C,A),true,
% 1.49/1.76 sum(x,X,B),true),true),true)
% 1.49/1.76 -> true
% 1.49/1.76 Current number of equations to process: 23
% 1.49/1.76 Current number of ordered equations: 0
% 1.49/1.76 Current number of rules: 154
% 1.49/1.76 New rule produced :
% 1.49/1.76 [155]
% 1.49/1.76 ifeq(product(A,B,C),true,ifeq(sum(X,B,Y),true,ifeq(sum(X,A,multiplicative_identity),true,
% 1.49/1.76 sum(X,C,Y),true),true),true) ->
% 1.49/1.76 true
% 1.49/1.76 Current number of equations to process: 21
% 1.49/1.76 Current number of ordered equations: 1
% 1.49/1.76 Current number of rules: 155
% 1.49/1.76 New rule produced :
% 1.49/1.76 [156]
% 1.49/1.76 ifeq(product(A,B,C),true,ifeq(sum(X,Y,B),true,ifeq(sum(X,multiplicative_identity,A),true,
% 1.49/1.76 sum(X,Y,C),true),true),true) ->
% 1.49/1.76 true
% 1.49/1.76 Current number of equations to process: 21
% 1.49/1.76 Current number of ordered equations: 0
% 1.49/1.76 Current number of rules: 156
% 1.49/1.76 New rule produced :
% 1.49/1.76 [157]
% 1.49/1.76 ifeq(product(multiplicative_identity,A,B),true,ifeq(product(inverse(C),X,Y),true,
% 1.49/1.76 ifeq(sum(C,X,A),true,sum(C,Y,B),true),true),true)
% 1.49/1.76 -> true
% 1.49/1.76 Current number of equations to process: 19
% 1.49/1.76 Current number of ordered equations: 1
% 1.49/1.76 Current number of rules: 157
% 1.49/1.76 New rule produced :
% 1.49/1.76 [158]
% 1.49/1.76 ifeq(product(A,multiplicative_identity,B),true,ifeq(product(C,inverse(X),Y),true,
% 1.49/1.76 ifeq(sum(X,C,A),true,sum(X,Y,B),true),true),true)
% 1.49/1.76 -> true
% 1.49/1.76 Current number of equations to process: 19
% 1.49/1.76 Current number of ordered equations: 0
% 1.49/1.76 Current number of rules: 158
% 1.49/1.76 New rule produced :
% 1.50/1.80 [159]
% 1.50/1.80 ifeq(product(A,B,C),true,ifeq(sum(X,B,Y),true,ifeq(sum(X,A,inverse(Y)),true,
% 1.50/1.80 sum(X,C,additive_identity),true),true),true)
% 1.50/1.80 -> true
% 1.50/1.80 Current number of equations to process: 17
% 1.50/1.80 Current number of ordered equations: 1
% 1.50/1.80 Current number of rules: 159
% 1.50/1.80 New rule produced :
% 1.50/1.80 [160]
% 1.50/1.80 ifeq(product(A,B,C),true,ifeq(sum(X,Y,B),true,ifeq(sum(X,inverse(Y),A),true,
% 1.50/1.80 sum(X,additive_identity,C),true),true),true)
% 1.50/1.80 -> true
% 1.50/1.80 Current number of equations to process: 17
% 1.50/1.80 Current number of ordered equations: 0
% 1.50/1.80 Current number of rules: 160
% 1.50/1.80 New rule produced :
% 1.50/1.80 [161]
% 1.50/1.80 ifeq(product(A,B,C),true,ifeq(sum(X,B,inverse(Y)),true,ifeq(sum(X,A,Y),true,
% 1.50/1.80 sum(X,C,additive_identity),true),true),true)
% 1.50/1.80 -> true
% 1.50/1.80 Current number of equations to process: 15
% 1.50/1.80 Current number of ordered equations: 1
% 1.50/1.80 Current number of rules: 161
% 1.50/1.80 New rule produced :
% 1.50/1.80 [162]
% 1.50/1.80 ifeq(product(A,B,C),true,ifeq(sum(X,inverse(Y),B),true,ifeq(sum(X,Y,A),true,
% 1.50/1.80 sum(X,additive_identity,C),true),true),true)
% 1.50/1.80 -> true
% 1.50/1.80 Current number of equations to process: 15
% 1.50/1.80 Current number of ordered equations: 0
% 1.50/1.80 Current number of rules: 162
% 1.50/1.80 New rule produced :
% 1.50/1.80 [163]
% 1.50/1.80 ifeq(product(multiplicative_identity,A,B),true,ifeq(product(C,X,Y),true,
% 1.50/1.80 ifeq(sum(inverse(C),X,A),true,
% 1.50/1.80 sum(inverse(C),Y,B),true),true),true)
% 1.50/1.80 -> true
% 1.50/1.80 Current number of equations to process: 13
% 1.50/1.80 Current number of ordered equations: 1
% 1.50/1.80 Current number of rules: 163
% 1.50/1.80 New rule produced :
% 1.50/1.80 [164]
% 1.50/1.80 ifeq(product(A,multiplicative_identity,B),true,ifeq(product(C,X,Y),true,
% 1.50/1.80 ifeq(sum(inverse(X),C,A),true,
% 1.50/1.80 sum(inverse(X),Y,B),true),true),true)
% 1.50/1.80 -> true
% 1.50/1.80 Current number of equations to process: 13
% 1.50/1.80 Current number of ordered equations: 0
% 1.50/1.80 Current number of rules: 164
% 1.50/1.80 New rule produced :
% 1.50/1.80 [165]
% 1.50/1.80 ifeq(product(A,add(B,C),X),true,ifeq(product(Y,C,Z),true,ifeq(sum(B,Y,A),true,
% 1.50/1.80 sum(B,Z,X),true),true),true)
% 1.50/1.80 -> true
% 1.50/1.80 Current number of equations to process: 11
% 1.50/1.80 Current number of ordered equations: 1
% 1.50/1.80 Current number of rules: 165
% 1.50/1.80 New rule produced :
% 1.50/1.80 [166]
% 1.50/1.80 ifeq(product(add(A,B),C,X),true,ifeq(product(B,Y,Z),true,ifeq(sum(A,Y,C),true,
% 1.50/1.80 sum(A,Z,X),true),true),true)
% 1.50/1.80 -> true
% 1.50/1.80 Current number of equations to process: 11
% 1.50/1.80 Current number of ordered equations: 0
% 1.50/1.80 Current number of rules: 166
% 1.50/1.80 New rule produced :
% 1.50/1.80 [167]
% 1.50/1.80 ifeq(product(A,B,C),true,ifeq(sum(X,B,inverse(y)),true,ifeq(sum(X,A,inverse(x)),true,
% 1.50/1.80 sum(X,C,x_inverse_times_y_inverse),true),true),true)
% 1.50/1.80 -> true
% 1.50/1.80 Current number of equations to process: 9
% 1.50/1.80 Current number of ordered equations: 1
% 1.50/1.80 Current number of rules: 167
% 1.50/1.80 New rule produced :
% 1.50/1.80 [168]
% 1.50/1.80 ifeq(product(A,B,C),true,ifeq(sum(X,inverse(y),B),true,ifeq(sum(X,inverse(x),A),true,
% 1.50/1.80 sum(X,x_inverse_times_y_inverse,C),true),true),true)
% 1.50/1.80 -> true
% 1.50/1.80 Current number of equations to process: 9
% 1.50/1.80 Current number of ordered equations: 0
% 1.50/1.80 Current number of rules: 168
% 1.50/1.80 New rule produced :
% 1.50/1.80 [169]
% 1.50/1.80 ifeq(product(A,B,C),true,ifeq(sum(X,B,Y),true,ifeq(sum(X,A,Z),true,sum(X,C,
% 1.50/1.80 multiply(Z,Y)),true),true),true)
% 1.50/1.80 -> true
% 1.50/1.80 Current number of equations to process: 7
% 1.50/1.80 Current number of ordered equations: 1
% 1.50/1.80 Current number of rules: 169
% 1.50/1.80 New rule produced :
% 1.50/1.80 [170]
% 1.50/1.80 ifeq(product(A,B,C),true,ifeq(sum(X,Y,B),true,ifeq(sum(X,Z,A),true,sum(X,
% 1.50/1.80 multiply(Z,Y),C),true),true),true)
% 1.50/1.80 -> true
% 1.50/1.80 Current number of equations to process: 7
% 1.50/1.80 Current number of ordered equations: 0
% 1.50/1.80 Current number of rules: 170
% 1.50/1.80 New rule produced :
% 1.50/1.80 [171]
% 1.50/1.80 ifeq(product(A,B,C),true,ifeq(product(X,Y,additive_identity),true,ifeq(
% 1.50/1.80 sum(C,Y,B),true,
% 1.57/1.88 ifeq(
% 1.57/1.88 sum(C,X,A),true,true,true),true),true),true)
% 1.57/1.88 -> true
% 1.57/1.88 Current number of equations to process: 6
% 1.57/1.88 Current number of ordered equations: 0
% 1.57/1.88 Current number of rules: 171
% 1.57/1.88 New rule produced :
% 1.57/1.88 [172]
% 1.57/1.88 ifeq(product(A,B,C),true,ifeq(product(X,Y,C),true,ifeq(sum(additive_identity,Y,B),true,
% 1.57/1.88 ifeq(sum(additive_identity,X,A),true,true,true),true),true),true)
% 1.57/1.88 -> true
% 1.57/1.88 Current number of equations to process: 5
% 1.57/1.88 Current number of ordered equations: 0
% 1.57/1.88 Current number of rules: 172
% 1.57/1.88 New rule produced :
% 1.57/1.88 [173]
% 1.57/1.88 ifeq(product(A,B,x_plus_y),true,ifeq(product(C,X,y),true,ifeq(sum(x,X,B),true,
% 1.57/1.88 ifeq(sum(x,C,A),true,true,true),true),true),true)
% 1.57/1.88 -> true
% 1.57/1.88 Current number of equations to process: 4
% 1.57/1.88 Current number of ordered equations: 0
% 1.57/1.88 Current number of rules: 173
% 1.57/1.88 New rule produced :
% 1.57/1.88 [174]
% 1.57/1.88 ifeq(product(A,B,multiplicative_identity),true,ifeq(product(C,X,inverse(Y)),true,
% 1.57/1.88 ifeq(sum(Y,X,B),true,ifeq(
% 1.57/1.88 sum(Y,C,A),true,true,true),true),true),true)
% 1.57/1.88 -> true
% 1.57/1.88 Current number of equations to process: 3
% 1.57/1.88 Current number of ordered equations: 0
% 1.57/1.88 Current number of rules: 174
% 1.57/1.88 New rule produced :
% 1.57/1.88 [175]
% 1.57/1.88 ifeq(product(A,B,multiplicative_identity),true,ifeq(product(C,X,Y),true,
% 1.57/1.88 ifeq(sum(inverse(Y),X,B),true,
% 1.57/1.88 ifeq(sum(inverse(Y),C,A),true,true,true),true),true),true)
% 1.57/1.88 -> true
% 1.57/1.88 Current number of equations to process: 2
% 1.57/1.88 Current number of ordered equations: 0
% 1.57/1.88 Current number of rules: 175
% 1.57/1.88 New rule produced :
% 1.57/1.88 [176]
% 1.57/1.88 ifeq(product(A,B,add(C,X)),true,ifeq(product(Y,Z,X),true,ifeq(sum(C,Z,B),true,
% 1.57/1.88 ifeq(sum(C,Y,A),true,true,true),true),true),true)
% 1.57/1.88 -> true
% 1.57/1.88 Current number of equations to process: 1
% 1.57/1.88 Current number of ordered equations: 0
% 1.57/1.88 Current number of rules: 176
% 1.57/1.88 New rule produced :
% 1.57/1.88 [177]
% 1.57/1.88 ifeq(product(A,B,A),true,ifeq(product(C,X,C),true,ifeq(sum(X,C,B),true,true,true),true),true)
% 1.57/1.88 -> true
% 1.57/1.88 Current number of equations to process: 31
% 1.57/1.88 Current number of ordered equations: 0
% 1.57/1.88 Current number of rules: 177
% 1.57/1.88 New rule produced :
% 1.57/1.88 [178]
% 1.57/1.88 ifeq(product(A,B,C),true,ifeq(product(X,B,Y),true,ifeq(sum(X,additive_identity,A),true,
% 1.57/1.88 sum(Y,additive_identity,C),true),true),true)
% 1.57/1.88 -> true
% 1.57/1.88 Current number of equations to process: 29
% 1.57/1.88 Current number of ordered equations: 1
% 1.57/1.88 Current number of rules: 178
% 1.57/1.88 New rule produced :
% 1.57/1.88 [179]
% 1.57/1.88 ifeq(product(A,B,C),true,ifeq(product(A,X,Y),true,ifeq(sum(X,additive_identity,B),true,
% 1.57/1.88 sum(Y,additive_identity,C),true),true),true)
% 1.57/1.88 -> true
% 1.57/1.88 Current number of equations to process: 29
% 1.57/1.88 Current number of ordered equations: 0
% 1.57/1.88 Current number of rules: 179
% 1.57/1.88 New rule produced :
% 1.57/1.88 [180]
% 1.57/1.88 ifeq(product(A,B,C),true,ifeq(product(X,additive_identity,Y),true,ifeq(
% 1.57/1.88 sum(X,B,A),true,
% 1.57/1.88 sum(Y,B,C),true),true),true)
% 1.57/1.88 -> true
% 1.57/1.88 Current number of equations to process: 27
% 1.57/1.88 Current number of ordered equations: 1
% 1.57/1.88 Current number of rules: 180
% 1.57/1.88 New rule produced :
% 1.57/1.88 [181]
% 1.57/1.88 ifeq(product(A,B,C),true,ifeq(product(additive_identity,X,Y),true,ifeq(
% 1.57/1.88 sum(X,A,B),true,
% 1.57/1.88 sum(Y,A,C),true),true),true)
% 1.57/1.88 -> true
% 1.57/1.88 Current number of equations to process: 27
% 1.57/1.88 Current number of ordered equations: 0
% 1.57/1.88 Current number of rules: 181
% 1.57/1.88 New rule produced :
% 1.57/1.88 [182]
% 1.57/1.88 ifeq(product(A,B,C),true,ifeq(sum(B,X,multiplicative_identity),true,ifeq(
% 1.57/1.88 sum(A,X,Y),true,
% 1.57/1.88 sum(C,X,Y),true),true),true)
% 1.65/1.93 -> true
% 1.65/1.93 Current number of equations to process: 25
% 1.65/1.93 Current number of ordered equations: 1
% 1.65/1.93 Current number of rules: 182
% 1.65/1.93 New rule produced :
% 1.65/1.93 [183]
% 1.65/1.93 ifeq(product(A,B,C),true,ifeq(sum(multiplicative_identity,X,B),true,ifeq(
% 1.65/1.93 sum(Y,X,A),true,
% 1.65/1.93 sum(Y,X,C),true),true),true)
% 1.65/1.93 -> true
% 1.65/1.93 Current number of equations to process: 25
% 1.65/1.93 Current number of ordered equations: 0
% 1.65/1.93 Current number of rules: 183
% 1.65/1.93 New rule produced :
% 1.65/1.93 [184]
% 1.65/1.93 ifeq(product(A,x_plus_y,B),true,ifeq(product(C,x,X),true,ifeq(sum(C,y,A),true,
% 1.65/1.93 sum(X,y,B),true),true),true)
% 1.65/1.93 -> true
% 1.65/1.93 Current number of equations to process: 23
% 1.65/1.93 Current number of ordered equations: 1
% 1.65/1.93 Current number of rules: 184
% 1.65/1.93 New rule produced :
% 1.65/1.93 [185]
% 1.65/1.93 ifeq(product(x_plus_y,A,B),true,ifeq(product(x,C,X),true,ifeq(sum(C,y,A),true,
% 1.65/1.93 sum(X,y,B),true),true),true)
% 1.65/1.93 -> true
% 1.65/1.93 Current number of equations to process: 23
% 1.65/1.93 Current number of ordered equations: 0
% 1.65/1.93 Current number of rules: 185
% 1.65/1.93 New rule produced :
% 1.65/1.93 [186]
% 1.65/1.93 ifeq(product(A,B,C),true,ifeq(sum(B,X,Y),true,ifeq(sum(A,X,multiplicative_identity),true,
% 1.65/1.93 sum(C,X,Y),true),true),true) ->
% 1.65/1.93 true
% 1.65/1.93 Current number of equations to process: 21
% 1.65/1.93 Current number of ordered equations: 1
% 1.65/1.93 Current number of rules: 186
% 1.65/1.93 New rule produced :
% 1.65/1.93 [187]
% 1.65/1.93 ifeq(product(A,B,C),true,ifeq(sum(X,Y,B),true,ifeq(sum(multiplicative_identity,Y,A),true,
% 1.65/1.93 sum(X,Y,C),true),true),true) ->
% 1.65/1.93 true
% 1.65/1.93 Current number of equations to process: 21
% 1.65/1.93 Current number of ordered equations: 0
% 1.65/1.93 Current number of rules: 187
% 1.65/1.93 New rule produced :
% 1.65/1.93 [188]
% 1.65/1.93 ifeq(product(A,B,C),true,ifeq(sum(B,X,Y),true,ifeq(sum(A,X,inverse(Y)),true,
% 1.65/1.93 sum(C,X,additive_identity),true),true),true)
% 1.65/1.93 -> true
% 1.65/1.93 Current number of equations to process: 19
% 1.65/1.93 Current number of ordered equations: 1
% 1.65/1.93 Current number of rules: 188
% 1.65/1.93 New rule produced :
% 1.65/1.93 [189]
% 1.65/1.93 ifeq(product(A,B,C),true,ifeq(sum(X,Y,B),true,ifeq(sum(inverse(X),Y,A),true,
% 1.65/1.93 sum(additive_identity,Y,C),true),true),true)
% 1.65/1.93 -> true
% 1.65/1.93 Current number of equations to process: 19
% 1.65/1.93 Current number of ordered equations: 0
% 1.65/1.93 Current number of rules: 189
% 1.65/1.93 New rule produced :
% 1.65/1.93 [190]
% 1.65/1.93 ifeq(product(multiplicative_identity,A,B),true,ifeq(product(inverse(C),X,Y),true,
% 1.65/1.93 ifeq(sum(X,C,A),true,sum(Y,C,B),true),true),true)
% 1.65/1.93 -> true
% 1.65/1.93 Current number of equations to process: 17
% 1.65/1.93 Current number of ordered equations: 1
% 1.65/1.93 Current number of rules: 190
% 1.65/1.93 New rule produced :
% 1.65/1.93 [191]
% 1.65/1.93 ifeq(product(A,multiplicative_identity,B),true,ifeq(product(C,inverse(X),Y),true,
% 1.65/1.93 ifeq(sum(C,X,A),true,sum(Y,X,B),true),true),true)
% 1.65/1.93 -> true
% 1.65/1.93 Current number of equations to process: 17
% 1.65/1.93 Current number of ordered equations: 0
% 1.65/1.93 Current number of rules: 191
% 1.65/1.93 New rule produced :
% 1.65/1.93 [192]
% 1.65/1.93 ifeq(product(A,B,C),true,ifeq(sum(B,X,inverse(Y)),true,ifeq(sum(A,X,Y),true,
% 1.65/1.93 sum(C,X,additive_identity),true),true),true)
% 1.65/1.93 -> true
% 1.65/1.93 Current number of equations to process: 15
% 1.65/1.93 Current number of ordered equations: 1
% 1.65/1.93 Current number of rules: 192
% 1.65/1.93 New rule produced :
% 1.65/1.93 [193]
% 1.65/1.93 ifeq(product(A,B,C),true,ifeq(sum(inverse(X),Y,B),true,ifeq(sum(X,Y,A),true,
% 1.65/1.93 sum(additive_identity,Y,C),true),true),true)
% 1.65/1.93 -> true
% 1.65/1.93 Current number of equations to process: 15
% 1.65/1.93 Current number of ordered equations: 0
% 1.65/1.93 Current number of rules: 193
% 1.65/1.93 New rule produced :
% 1.65/1.93 [194]
% 1.65/1.93 ifeq(product(multiplicative_identity,A,B),true,ifeq(product(C,X,Y),true,
% 1.65/1.93 ifeq(sum(X,inverse(C),A),true,
% 1.65/1.93 sum(Y,inverse(C),B),true),true),true)
% 1.65/1.93 -> true
% 1.65/1.93 Current number of equations to process: 13
% 1.65/1.93 Current number of ordered equations: 1
% 1.65/1.93 Current number of rules: 194
% 1.71/1.99 New rule produced :
% 1.71/1.99 [195]
% 1.71/1.99 ifeq(product(A,multiplicative_identity,B),true,ifeq(product(C,X,Y),true,
% 1.71/1.99 ifeq(sum(C,inverse(X),A),true,
% 1.71/1.99 sum(Y,inverse(X),B),true),true),true)
% 1.71/1.99 -> true
% 1.71/1.99 Current number of equations to process: 13
% 1.71/1.99 Current number of ordered equations: 0
% 1.71/1.99 Current number of rules: 195
% 1.71/1.99 New rule produced :
% 1.71/1.99 [196]
% 1.71/1.99 ifeq(product(A,add(B,C),X),true,ifeq(product(Y,B,Z),true,ifeq(sum(Y,C,A),true,
% 1.71/1.99 sum(Z,C,X),true),true),true)
% 1.71/1.99 -> true
% 1.71/1.99 Current number of equations to process: 11
% 1.71/1.99 Current number of ordered equations: 1
% 1.71/1.99 Current number of rules: 196
% 1.71/1.99 New rule produced :
% 1.71/1.99 [197]
% 1.71/1.99 ifeq(product(add(A,B),C,X),true,ifeq(product(A,Y,Z),true,ifeq(sum(Y,B,C),true,
% 1.71/1.99 sum(Z,B,X),true),true),true)
% 1.71/1.99 -> true
% 1.71/1.99 Current number of equations to process: 11
% 1.71/1.99 Current number of ordered equations: 0
% 1.71/1.99 Current number of rules: 197
% 1.71/1.99 New rule produced :
% 1.71/1.99 [198]
% 1.71/1.99 ifeq(product(A,B,C),true,ifeq(sum(B,X,inverse(y)),true,ifeq(sum(A,X,inverse(x)),true,
% 1.71/1.99 sum(C,X,x_inverse_times_y_inverse),true),true),true)
% 1.71/1.99 -> true
% 1.71/1.99 Current number of equations to process: 9
% 1.71/1.99 Current number of ordered equations: 1
% 1.71/1.99 Current number of rules: 198
% 1.71/1.99 New rule produced :
% 1.71/1.99 [199]
% 1.71/1.99 ifeq(product(A,B,C),true,ifeq(sum(inverse(y),X,B),true,ifeq(sum(inverse(x),X,A),true,
% 1.71/1.99 sum(x_inverse_times_y_inverse,X,C),true),true),true)
% 1.71/1.99 -> true
% 1.71/1.99 Current number of equations to process: 9
% 1.71/1.99 Current number of ordered equations: 0
% 1.71/1.99 Current number of rules: 199
% 1.71/1.99 New rule produced :
% 1.71/1.99 [200]
% 1.71/1.99 ifeq(product(A,B,C),true,ifeq(sum(B,X,Y),true,ifeq(sum(A,X,Z),true,sum(C,X,
% 1.71/1.99 multiply(Z,Y)),true),true),true)
% 1.71/1.99 -> true
% 1.71/1.99 Current number of equations to process: 7
% 1.71/1.99 Current number of ordered equations: 1
% 1.71/1.99 Current number of rules: 200
% 1.71/1.99 New rule produced :
% 1.71/1.99 [201]
% 1.71/1.99 ifeq(product(A,B,C),true,ifeq(sum(X,Y,B),true,ifeq(sum(Z,Y,A),true,sum(
% 1.71/1.99 multiply(Z,X),Y,C),true),true),true)
% 1.71/1.99 -> true
% 1.71/1.99 Current number of equations to process: 7
% 1.71/1.99 Current number of ordered equations: 0
% 1.71/1.99 Current number of rules: 201
% 1.71/1.99 New rule produced :
% 1.71/1.99 [202]
% 1.71/1.99 ifeq(product(A,B,C),true,ifeq(product(X,Y,C),true,ifeq(sum(Y,additive_identity,B),true,
% 1.71/1.99 ifeq(sum(X,additive_identity,A),true,true,true),true),true),true)
% 1.71/1.99 -> true
% 1.71/1.99 Current number of equations to process: 6
% 1.71/1.99 Current number of ordered equations: 0
% 1.71/1.99 Current number of rules: 202
% 1.71/1.99 New rule produced :
% 1.71/1.99 [203]
% 1.71/1.99 ifeq(product(A,B,C),true,ifeq(product(X,Y,additive_identity),true,ifeq(
% 1.71/1.99 sum(Y,C,B),true,
% 1.71/1.99 ifeq(
% 1.71/1.99 sum(X,C,A),true,true,true),true),true),true)
% 1.71/1.99 -> true
% 1.71/1.99 Current number of equations to process: 5
% 1.71/1.99 Current number of ordered equations: 0
% 1.71/1.99 Current number of rules: 203
% 1.71/1.99 New rule produced :
% 1.71/1.99 [204]
% 1.71/1.99 ifeq(product(A,B,x_plus_y),true,ifeq(product(C,X,x),true,ifeq(sum(X,y,B),true,
% 1.71/1.99 ifeq(sum(C,y,A),true,true,true),true),true),true)
% 1.71/1.99 -> true
% 1.71/1.99 Current number of equations to process: 4
% 1.71/1.99 Current number of ordered equations: 0
% 1.71/1.99 Current number of rules: 204
% 1.71/1.99 New rule produced :
% 1.71/1.99 [205]
% 1.71/1.99 ifeq(product(A,B,multiplicative_identity),true,ifeq(product(C,X,inverse(Y)),true,
% 1.71/1.99 ifeq(sum(X,Y,B),true,ifeq(
% 1.71/1.99 sum(C,Y,A),true,true,true),true),true),true)
% 1.71/1.99 -> true
% 1.71/1.99 Current number of equations to process: 3
% 1.71/1.99 Current number of ordered equations: 0
% 1.71/1.99 Current number of rules: 205
% 1.71/1.99 New rule produced :
% 1.71/1.99 [206]
% 1.71/1.99 ifeq(product(A,B,multiplicative_identity),true,ifeq(product(C,X,Y),true,
% 1.71/1.99 ifeq(sum(X,inverse(Y),B),true,
% 1.71/1.99 ifeq(sum(C,inverse(Y),A),true,true,true),true),true),true)
% 1.80/2.08 -> true
% 1.80/2.08 Current number of equations to process: 2
% 1.80/2.08 Current number of ordered equations: 0
% 1.80/2.08 Current number of rules: 206
% 1.80/2.08 New rule produced :
% 1.80/2.08 [207]
% 1.80/2.08 ifeq(product(A,B,add(C,X)),true,ifeq(product(Y,Z,C),true,ifeq(sum(Z,X,B),true,
% 1.80/2.08 ifeq(sum(Y,X,A),true,true,true),true),true),true)
% 1.80/2.08 -> true
% 1.80/2.08 Current number of equations to process: 1
% 1.80/2.08 Current number of ordered equations: 0
% 1.80/2.08 Current number of rules: 207
% 1.80/2.08 New rule produced :
% 1.80/2.08 [208]
% 1.80/2.08 ifeq(product(A,additive_identity,B),true,ifeq(sum(C,B,X),true,ifeq(sum(C,A,Y),true,
% 1.80/2.08 product(Y,C,X),true),true),true)
% 1.80/2.08 -> true
% 1.80/2.08 Current number of equations to process: 28
% 1.80/2.08 Current number of ordered equations: 2
% 1.80/2.08 Current number of rules: 208
% 1.80/2.08 New rule produced :
% 1.80/2.08 [209]
% 1.80/2.08 ifeq(product(additive_identity,A,B),true,ifeq(sum(C,B,X),true,ifeq(sum(C,A,Y),true,
% 1.80/2.08 product(C,Y,X),true),true),true)
% 1.80/2.08 -> true
% 1.80/2.08 Current number of equations to process: 28
% 1.80/2.08 Current number of ordered equations: 1
% 1.80/2.08 Current number of rules: 209
% 1.80/2.08 New rule produced :
% 1.80/2.08 [210]
% 1.80/2.08 ifeq(product(A,B,additive_identity),true,ifeq(sum(C,B,X),true,ifeq(sum(C,A,Y),true,
% 1.80/2.08 product(Y,X,C),true),true),true)
% 1.80/2.08 -> true
% 1.80/2.08 Current number of equations to process: 28
% 1.80/2.08 Current number of ordered equations: 0
% 1.80/2.08 Current number of rules: 210
% 1.80/2.08 New rule produced :
% 1.80/2.08 [211]
% 1.80/2.08 ifeq(product(A,B,C),true,ifeq(sum(additive_identity,B,X),true,ifeq(sum(additive_identity,A,Y),true,
% 1.80/2.08 product(Y,X,C),true),true),true)
% 1.80/2.08 -> true
% 1.80/2.08 Current number of equations to process: 25
% 1.80/2.08 Current number of ordered equations: 2
% 1.80/2.08 Current number of rules: 211
% 1.80/2.08 New rule produced :
% 1.80/2.08 [212]
% 1.80/2.08 ifeq(product(A,B,C),true,ifeq(sum(additive_identity,C,X),true,ifeq(sum(additive_identity,A,Y),true,
% 1.80/2.08 product(Y,B,X),true),true),true)
% 1.80/2.08 -> true
% 1.80/2.08 Current number of equations to process: 25
% 1.80/2.08 Current number of ordered equations: 1
% 1.80/2.08 Current number of rules: 212
% 1.80/2.08 New rule produced :
% 1.80/2.08 [213]
% 1.80/2.08 ifeq(product(A,B,C),true,ifeq(sum(additive_identity,C,X),true,ifeq(sum(additive_identity,B,Y),true,
% 1.80/2.08 product(A,Y,X),true),true),true)
% 1.80/2.08 -> true
% 1.80/2.08 Current number of equations to process: 25
% 1.80/2.08 Current number of ordered equations: 0
% 1.80/2.08 Current number of rules: 213
% 1.80/2.08 New rule produced :
% 1.80/2.08 [214]
% 1.80/2.08 ifeq(sum(A,B,C),true,ifeq(sum(A,multiplicative_identity,X),true,ifeq(
% 1.80/2.08 sum(A,B,Y),true,
% 1.80/2.08 product(Y,X,C),true),true),true)
% 1.80/2.08 -> true
% 1.80/2.08 Current number of equations to process: 24
% 1.80/2.08 Current number of ordered equations: 0
% 1.80/2.08 Current number of rules: 214
% 1.80/2.08 New rule produced :
% 1.80/2.08 [215]
% 1.80/2.08 ifeq(product(y,A,B),true,ifeq(sum(x,B,C),true,ifeq(sum(x,A,X),true,product(x_plus_y,X,C),true),true),true)
% 1.80/2.08 -> true
% 1.80/2.08 Current number of equations to process: 21
% 1.80/2.08 Current number of ordered equations: 2
% 1.80/2.08 Current number of rules: 215
% 1.80/2.08 New rule produced :
% 1.80/2.08 [216]
% 1.80/2.08 ifeq(product(A,B,y),true,ifeq(sum(x,B,C),true,ifeq(sum(x,A,X),true,product(X,C,x_plus_y),true),true),true)
% 1.80/2.08 -> true
% 1.80/2.08 Current number of equations to process: 21
% 1.80/2.08 Current number of ordered equations: 1
% 1.80/2.08 Current number of rules: 216
% 1.80/2.08 New rule produced :
% 1.80/2.08 [217]
% 1.80/2.08 ifeq(product(A,y,B),true,ifeq(sum(x,B,C),true,ifeq(sum(x,A,X),true,product(X,x_plus_y,C),true),true),true)
% 1.80/2.08 -> true
% 1.80/2.08 Current number of equations to process: 21
% 1.80/2.08 Current number of ordered equations: 0
% 1.80/2.08 Current number of rules: 217
% 1.80/2.08 New rule produced :
% 1.80/2.08 [218]
% 1.80/2.08 ifeq(sum(A,B,C),true,ifeq(sum(A,B,X),true,ifeq(sum(A,multiplicative_identity,Y),true,
% 1.80/2.08 product(Y,X,C),true),true),true) ->
% 1.80/2.08 true
% 1.80/2.08 Current number of equations to process: 20
% 1.80/2.08 Current number of ordered equations: 0
% 1.80/2.08 Current number of rules: 218
% 1.80/2.08 New rule produced :
% 1.80/2.08 [219]
% 1.80/2.08 ifeq(product(inverse(A),B,C),true,ifeq(sum(A,C,X),true,ifeq(sum(A,B,Y),true,
% 1.80/2.08 product(multiplicative_identity,Y,X),true),true),true)
% 1.85/2.13 -> true
% 1.85/2.13 Current number of equations to process: 17
% 1.85/2.13 Current number of ordered equations: 2
% 1.85/2.13 Current number of rules: 219
% 1.85/2.13 New rule produced :
% 1.85/2.13 [220]
% 1.85/2.13 ifeq(product(A,inverse(B),C),true,ifeq(sum(B,C,X),true,ifeq(sum(B,A,Y),true,
% 1.85/2.13 product(Y,multiplicative_identity,X),true),true),true)
% 1.85/2.13 -> true
% 1.85/2.13 Current number of equations to process: 17
% 1.85/2.13 Current number of ordered equations: 1
% 1.85/2.13 Current number of rules: 220
% 1.85/2.13 New rule produced :
% 1.85/2.13 [221]
% 1.85/2.13 ifeq(product(A,B,inverse(C)),true,ifeq(sum(C,B,X),true,ifeq(sum(C,A,Y),true,
% 1.85/2.13 product(Y,X,multiplicative_identity),true),true),true)
% 1.85/2.13 -> true
% 1.85/2.13 Current number of equations to process: 17
% 1.85/2.13 Current number of ordered equations: 0
% 1.85/2.13 Current number of rules: 221
% 1.85/2.13 New rule produced :
% 1.85/2.13 [222]
% 1.85/2.13 ifeq(sum(A,additive_identity,B),true,ifeq(sum(A,C,X),true,ifeq(sum(A,
% 1.85/2.13 inverse(C),Y),true,
% 1.85/2.13 product(Y,X,B),true),true),true)
% 1.85/2.13 -> true
% 1.85/2.13 Current number of equations to process: 16
% 1.85/2.13 Current number of ordered equations: 0
% 1.85/2.13 Current number of rules: 222
% 1.85/2.13 New rule produced :
% 1.85/2.13 [223]
% 1.85/2.13 ifeq(sum(A,additive_identity,B),true,ifeq(sum(A,inverse(C),X),true,ifeq(
% 1.85/2.13 sum(A,C,Y),true,
% 1.85/2.13 product(Y,X,B),true),true),true)
% 1.85/2.13 -> true
% 1.85/2.13 Current number of equations to process: 15
% 1.85/2.13 Current number of ordered equations: 0
% 1.85/2.13 Current number of rules: 223
% 1.85/2.13 New rule produced :
% 1.85/2.13 [224]
% 1.85/2.13 ifeq(product(A,B,C),true,ifeq(sum(inverse(C),B,X),true,ifeq(sum(inverse(C),A,Y),true,
% 1.85/2.13 product(Y,X,multiplicative_identity),true),true),true)
% 1.85/2.13 -> true
% 1.85/2.13 Current number of equations to process: 12
% 1.85/2.13 Current number of ordered equations: 2
% 1.85/2.13 Current number of rules: 224
% 1.85/2.13 New rule produced :
% 1.85/2.13 [225]
% 1.85/2.13 ifeq(product(A,B,C),true,ifeq(sum(inverse(B),C,X),true,ifeq(sum(inverse(B),A,Y),true,
% 1.85/2.14 product(Y,multiplicative_identity,X),true),true),true)
% 1.85/2.14 -> true
% 1.85/2.14 Current number of equations to process: 12
% 1.85/2.14 Current number of ordered equations: 1
% 1.85/2.14 Current number of rules: 225
% 1.85/2.14 New rule produced :
% 1.85/2.14 [226]
% 1.85/2.14 ifeq(product(A,B,C),true,ifeq(sum(inverse(A),C,X),true,ifeq(sum(inverse(A),B,Y),true,
% 1.85/2.14 product(multiplicative_identity,Y,X),true),true),true)
% 1.85/2.14 -> true
% 1.85/2.14 Current number of equations to process: 12
% 1.85/2.14 Current number of ordered equations: 0
% 1.85/2.14 Current number of rules: 226
% 1.85/2.14 New rule produced :
% 1.85/2.14 [227]
% 1.85/2.14 ifeq(product(A,B,C),true,ifeq(sum(X,B,Y),true,ifeq(sum(X,A,Z),true,product(Z,Y,
% 1.85/2.14 add(X,C)),true),true),true)
% 1.85/2.14 -> true
% 1.85/2.14 Current number of equations to process: 9
% 1.85/2.14 Current number of ordered equations: 2
% 1.85/2.14 Current number of rules: 227
% 1.85/2.14 New rule produced :
% 1.85/2.14 [228]
% 1.85/2.14 ifeq(product(A,B,C),true,ifeq(sum(X,C,Y),true,ifeq(sum(X,A,Z),true,product(Z,
% 1.85/2.14 add(X,B),Y),true),true),true)
% 1.85/2.14 -> true
% 1.85/2.14 Current number of equations to process: 9
% 1.85/2.14 Current number of ordered equations: 1
% 1.85/2.14 Current number of rules: 228
% 1.85/2.14 New rule produced :
% 1.85/2.14 [229]
% 1.85/2.14 ifeq(product(A,B,C),true,ifeq(sum(X,C,Y),true,ifeq(sum(X,B,Z),true,product(
% 1.85/2.14 add(X,A),Z,Y),true),true),true)
% 1.85/2.14 -> true
% 1.85/2.14 Current number of equations to process: 9
% 1.85/2.14 Current number of ordered equations: 0
% 1.85/2.14 Current number of rules: 229
% 1.85/2.14 New rule produced :
% 1.85/2.14 [230]
% 1.85/2.14 ifeq(sum(A,x_inverse_times_y_inverse,B),true,ifeq(sum(A,inverse(y),C),true,
% 1.85/2.14 ifeq(sum(A,inverse(x),X),true,
% 1.85/2.14 product(X,C,B),true),true),true)
% 1.85/2.14 -> true
% 1.85/2.14 Current number of equations to process: 8
% 1.85/2.14 Current number of ordered equations: 0
% 1.85/2.14 Current number of rules: 230
% 1.85/2.14 New rule produced :
% 1.85/2.14 [231]
% 1.85/2.14 ifeq(sum(A,multiply(B,C),X),true,ifeq(sum(A,C,Y),true,ifeq(sum(A,B,Z),true,
% 1.96/2.24 product(Z,Y,X),true),true),true)
% 1.96/2.24 -> true
% 1.96/2.24 Current number of equations to process: 7
% 1.96/2.24 Current number of ordered equations: 0
% 1.96/2.24 Current number of rules: 231
% 1.96/2.24 New rule produced :
% 1.96/2.24 [232]
% 1.96/2.24 ifeq(product(A,B,C),true,ifeq(sum(X,C,Y),true,ifeq(sum(X,B,multiplicative_identity),true,
% 1.96/2.24 ifeq(sum(X,A,Y),true,true,true),true),true),true)
% 1.96/2.24 -> true
% 1.96/2.24 Current number of equations to process: 6
% 1.96/2.24 Current number of ordered equations: 0
% 1.96/2.24 Current number of rules: 232
% 1.96/2.24 New rule produced :
% 1.96/2.24 [233]
% 1.96/2.24 ifeq(product(A,B,C),true,ifeq(sum(X,C,Y),true,ifeq(sum(X,B,Y),true,ifeq(
% 1.96/2.24 sum(X,A,multiplicative_identity),true,true,true),true),true),true)
% 1.96/2.24 -> true
% 1.96/2.24 Current number of equations to process: 5
% 1.96/2.24 Current number of ordered equations: 0
% 1.96/2.24 Current number of rules: 233
% 1.96/2.24 New rule produced :
% 1.96/2.24 [234]
% 1.96/2.24 ifeq(product(A,B,C),true,ifeq(sum(X,C,additive_identity),true,ifeq(sum(X,B,Y),true,
% 1.96/2.24 ifeq(sum(X,A,
% 1.96/2.24 inverse(Y)),true,true,true),true),true),true)
% 1.96/2.24 -> true
% 1.96/2.24 Current number of equations to process: 4
% 1.96/2.24 Current number of ordered equations: 0
% 1.96/2.24 Current number of rules: 234
% 1.96/2.24 New rule produced :
% 1.96/2.24 [235]
% 1.96/2.24 ifeq(product(A,B,C),true,ifeq(sum(X,C,additive_identity),true,ifeq(sum(X,B,
% 1.96/2.24 inverse(Y)),true,
% 1.96/2.24 ifeq(sum(X,A,Y),true,true,true),true),true),true)
% 1.96/2.24 -> true
% 1.96/2.24 Current number of equations to process: 3
% 1.96/2.24 Current number of ordered equations: 0
% 1.96/2.24 Current number of rules: 235
% 1.96/2.24 New rule produced :
% 1.96/2.24 [236]
% 1.96/2.24 ifeq(product(A,B,C),true,ifeq(sum(X,C,x_inverse_times_y_inverse),true,
% 1.96/2.24 ifeq(sum(X,B,inverse(y)),true,ifeq(sum(X,A,inverse(x)),true,true,true),true),true),true)
% 1.96/2.24 -> true
% 1.96/2.24 Current number of equations to process: 2
% 1.96/2.24 Current number of ordered equations: 0
% 1.96/2.24 Current number of rules: 236
% 1.96/2.24 New rule produced :
% 1.96/2.24 [237]
% 1.96/2.24 ifeq(product(A,B,C),true,ifeq(sum(X,C,multiply(Y,Z)),true,ifeq(sum(X,B,Z),true,
% 1.96/2.24 ifeq(sum(X,A,Y),true,true,true),true),true),true)
% 1.96/2.24 -> true
% 1.96/2.24 Current number of equations to process: 1
% 1.96/2.24 Current number of ordered equations: 0
% 1.96/2.24 Current number of rules: 237
% 1.96/2.24 New rule produced :
% 1.96/2.24 [238]
% 1.96/2.24 ifeq(product(A,B,C),true,ifeq(sum(B,additive_identity,X),true,ifeq(sum(A,additive_identity,Y),true,
% 1.96/2.24 product(Y,X,C),true),true),true)
% 1.96/2.24 -> true
% 1.96/2.24 Current number of equations to process: 28
% 1.96/2.24 Current number of ordered equations: 2
% 1.96/2.24 Current number of rules: 238
% 1.96/2.24 New rule produced :
% 1.96/2.24 [239]
% 1.96/2.24 ifeq(product(A,B,C),true,ifeq(sum(C,additive_identity,X),true,ifeq(sum(A,additive_identity,Y),true,
% 1.96/2.24 product(Y,B,X),true),true),true)
% 1.96/2.24 -> true
% 1.96/2.24 Current number of equations to process: 28
% 1.96/2.24 Current number of ordered equations: 1
% 1.96/2.24 Current number of rules: 239
% 1.96/2.24 New rule produced :
% 1.96/2.24 [240]
% 1.96/2.24 ifeq(product(A,B,C),true,ifeq(sum(C,additive_identity,X),true,ifeq(sum(B,additive_identity,Y),true,
% 1.96/2.24 product(A,Y,X),true),true),true)
% 1.96/2.24 -> true
% 1.96/2.24 Current number of equations to process: 28
% 1.96/2.24 Current number of ordered equations: 0
% 1.96/2.24 Current number of rules: 240
% 1.96/2.24 New rule produced :
% 1.96/2.24 [241]
% 1.96/2.24 ifeq(product(A,additive_identity,B),true,ifeq(sum(B,C,X),true,ifeq(sum(A,C,Y),true,
% 1.96/2.24 product(Y,C,X),true),true),true)
% 1.96/2.24 -> true
% 1.96/2.24 Current number of equations to process: 25
% 1.96/2.24 Current number of ordered equations: 2
% 1.96/2.24 Current number of rules: 241
% 1.96/2.24 New rule produced :
% 1.96/2.24 [242]
% 1.96/2.24 ifeq(product(additive_identity,A,B),true,ifeq(sum(B,C,X),true,ifeq(sum(A,C,Y),true,
% 1.96/2.24 product(C,Y,X),true),true),true)
% 1.96/2.24 -> true
% 1.96/2.24 Current number of equations to process: 25
% 1.96/2.24 Current number of ordered equations: 1
% 1.96/2.24 Current number of rules: 242
% 1.96/2.24 New rule produced :
% 2.02/2.31 [243]
% 2.02/2.31 ifeq(product(A,B,additive_identity),true,ifeq(sum(B,C,X),true,ifeq(sum(A,C,Y),true,
% 2.02/2.31 product(Y,X,C),true),true),true)
% 2.02/2.31 -> true
% 2.02/2.31 Current number of equations to process: 25
% 2.02/2.31 Current number of ordered equations: 0
% 2.02/2.31 Current number of rules: 243
% 2.02/2.31 New rule produced :
% 2.02/2.31 [244]
% 2.02/2.31 ifeq(sum(A,B,C),true,ifeq(sum(multiplicative_identity,B,X),true,ifeq(
% 2.02/2.31 sum(A,B,Y),true,
% 2.02/2.31 product(Y,X,C),true),true),true)
% 2.02/2.31 -> true
% 2.02/2.31 Current number of equations to process: 24
% 2.02/2.31 Current number of ordered equations: 0
% 2.02/2.31 Current number of rules: 244
% 2.02/2.31 New rule produced :
% 2.02/2.31 [245]
% 2.02/2.31 ifeq(product(x,A,B),true,ifeq(sum(B,y,C),true,ifeq(sum(A,y,X),true,product(x_plus_y,X,C),true),true),true)
% 2.02/2.31 -> true
% 2.02/2.31 Current number of equations to process: 21
% 2.02/2.31 Current number of ordered equations: 2
% 2.02/2.31 Current number of rules: 245
% 2.02/2.31 New rule produced :
% 2.02/2.31 [246]
% 2.02/2.31 ifeq(product(A,B,x),true,ifeq(sum(B,y,C),true,ifeq(sum(A,y,X),true,product(X,C,x_plus_y),true),true),true)
% 2.02/2.31 -> true
% 2.02/2.31 Current number of equations to process: 21
% 2.02/2.31 Current number of ordered equations: 1
% 2.02/2.31 Current number of rules: 246
% 2.02/2.31 New rule produced :
% 2.02/2.31 [247]
% 2.02/2.31 ifeq(product(A,x,B),true,ifeq(sum(B,y,C),true,ifeq(sum(A,y,X),true,product(X,x_plus_y,C),true),true),true)
% 2.02/2.31 -> true
% 2.02/2.31 Current number of equations to process: 21
% 2.02/2.31 Current number of ordered equations: 0
% 2.02/2.31 Current number of rules: 247
% 2.02/2.31 New rule produced :
% 2.02/2.31 [248]
% 2.02/2.31 ifeq(sum(A,B,C),true,ifeq(sum(A,B,X),true,ifeq(sum(multiplicative_identity,B,Y),true,
% 2.02/2.31 product(Y,X,C),true),true),true) ->
% 2.02/2.31 true
% 2.02/2.31 Current number of equations to process: 20
% 2.02/2.31 Current number of ordered equations: 0
% 2.02/2.31 Current number of rules: 248
% 2.02/2.31 New rule produced :
% 2.02/2.31 [249]
% 2.02/2.31 ifeq(sum(additive_identity,A,B),true,ifeq(sum(C,A,X),true,ifeq(sum(inverse(C),A,Y),true,
% 2.02/2.31 product(Y,X,B),true),true),true)
% 2.02/2.31 -> true
% 2.02/2.31 Current number of equations to process: 19
% 2.02/2.31 Current number of ordered equations: 0
% 2.02/2.31 Current number of rules: 249
% 2.02/2.31 New rule produced :
% 2.02/2.31 [250]
% 2.02/2.31 ifeq(product(inverse(A),B,C),true,ifeq(sum(C,A,X),true,ifeq(sum(B,A,Y),true,
% 2.02/2.31 product(multiplicative_identity,Y,X),true),true),true)
% 2.02/2.31 -> true
% 2.02/2.31 Current number of equations to process: 16
% 2.02/2.31 Current number of ordered equations: 2
% 2.02/2.31 Current number of rules: 250
% 2.02/2.31 New rule produced :
% 2.02/2.31 [251]
% 2.02/2.31 ifeq(product(A,inverse(B),C),true,ifeq(sum(C,B,X),true,ifeq(sum(A,B,Y),true,
% 2.02/2.31 product(Y,multiplicative_identity,X),true),true),true)
% 2.02/2.31 -> true
% 2.02/2.31 Current number of equations to process: 16
% 2.02/2.31 Current number of ordered equations: 1
% 2.02/2.31 Current number of rules: 251
% 2.02/2.31 New rule produced :
% 2.02/2.31 [252]
% 2.02/2.31 ifeq(product(A,B,inverse(C)),true,ifeq(sum(B,C,X),true,ifeq(sum(A,C,Y),true,
% 2.02/2.31 product(Y,X,multiplicative_identity),true),true),true)
% 2.02/2.31 -> true
% 2.02/2.31 Current number of equations to process: 16
% 2.02/2.31 Current number of ordered equations: 0
% 2.02/2.31 Current number of rules: 252
% 2.02/2.31 New rule produced :
% 2.02/2.31 [253]
% 2.02/2.31 ifeq(sum(additive_identity,A,B),true,ifeq(sum(inverse(C),A,X),true,ifeq(
% 2.02/2.31 sum(C,A,Y),true,
% 2.02/2.31 product(Y,X,B),true),true),true)
% 2.02/2.31 -> true
% 2.02/2.31 Current number of equations to process: 15
% 2.02/2.31 Current number of ordered equations: 0
% 2.02/2.31 Current number of rules: 253
% 2.02/2.31 New rule produced :
% 2.02/2.31 [254]
% 2.02/2.31 ifeq(product(A,B,C),true,ifeq(sum(B,inverse(C),X),true,ifeq(sum(A,inverse(C),Y),true,
% 2.02/2.31 product(Y,X,multiplicative_identity),true),true),true)
% 2.02/2.31 -> true
% 2.02/2.31 Current number of equations to process: 12
% 2.02/2.31 Current number of ordered equations: 2
% 2.02/2.31 Current number of rules: 254
% 2.02/2.31 New rule produced :
% 2.02/2.31 [255]
% 2.02/2.31 ifeq(product(A,B,C),true,ifeq(sum(C,inverse(B),X),true,ifeq(sum(A,inverse(B),Y),true,
% 2.02/2.31 product(Y,multiplicative_identity,X),true),true),true)
% 2.02/2.31 -> true
% 2.02/2.31 Current number of equations to process: 12
% 2.09/2.38 Current number of ordered equations: 1
% 2.09/2.38 Current number of rules: 255
% 2.09/2.38 New rule produced :
% 2.09/2.38 [256]
% 2.09/2.38 ifeq(product(A,B,C),true,ifeq(sum(C,inverse(A),X),true,ifeq(sum(B,inverse(A),Y),true,
% 2.09/2.38 product(multiplicative_identity,Y,X),true),true),true)
% 2.09/2.38 -> true
% 2.09/2.38 Current number of equations to process: 12
% 2.09/2.38 Current number of ordered equations: 0
% 2.09/2.38 Current number of rules: 256
% 2.09/2.38 New rule produced :
% 2.09/2.38 [257]
% 2.09/2.38 ifeq(product(A,B,C),true,ifeq(sum(B,X,Y),true,ifeq(sum(A,X,Z),true,product(Z,Y,
% 2.09/2.38 add(C,X)),true),true),true)
% 2.09/2.38 -> true
% 2.09/2.38 Current number of equations to process: 9
% 2.09/2.38 Current number of ordered equations: 2
% 2.09/2.38 Current number of rules: 257
% 2.09/2.38 New rule produced :
% 2.09/2.38 [258]
% 2.09/2.38 ifeq(product(A,B,C),true,ifeq(sum(C,X,Y),true,ifeq(sum(A,X,Z),true,product(Z,
% 2.09/2.38 add(B,X),Y),true),true),true)
% 2.09/2.38 -> true
% 2.09/2.38 Current number of equations to process: 9
% 2.09/2.38 Current number of ordered equations: 1
% 2.09/2.38 Current number of rules: 258
% 2.09/2.38 New rule produced :
% 2.09/2.38 [259]
% 2.09/2.38 ifeq(product(A,B,C),true,ifeq(sum(C,X,Y),true,ifeq(sum(B,X,Z),true,product(
% 2.09/2.38 add(A,X),Z,Y),true),true),true)
% 2.09/2.38 -> true
% 2.09/2.38 Current number of equations to process: 9
% 2.09/2.38 Current number of ordered equations: 0
% 2.09/2.38 Current number of rules: 259
% 2.09/2.38 New rule produced :
% 2.09/2.38 [260]
% 2.09/2.38 ifeq(sum(x_inverse_times_y_inverse,A,B),true,ifeq(sum(inverse(y),A,C),true,
% 2.09/2.38 ifeq(sum(inverse(x),A,X),true,
% 2.09/2.38 product(X,C,B),true),true),true)
% 2.09/2.38 -> true
% 2.09/2.38 Current number of equations to process: 8
% 2.09/2.38 Current number of ordered equations: 0
% 2.09/2.38 Current number of rules: 260
% 2.09/2.38 New rule produced :
% 2.09/2.38 [261]
% 2.09/2.38 ifeq(sum(multiply(A,B),C,X),true,ifeq(sum(B,C,Y),true,ifeq(sum(A,C,Z),true,
% 2.09/2.38 product(Z,Y,X),true),true),true)
% 2.09/2.38 -> true
% 2.09/2.38 Current number of equations to process: 7
% 2.09/2.38 Current number of ordered equations: 0
% 2.09/2.38 Current number of rules: 261
% 2.09/2.38 New rule produced :
% 2.09/2.38 [262]
% 2.09/2.38 ifeq(product(A,B,C),true,ifeq(sum(C,X,Y),true,ifeq(sum(B,X,multiplicative_identity),true,
% 2.09/2.38 ifeq(sum(A,X,Y),true,true,true),true),true),true)
% 2.09/2.38 -> true
% 2.09/2.38 Current number of equations to process: 6
% 2.09/2.38 Current number of ordered equations: 0
% 2.09/2.38 Current number of rules: 262
% 2.09/2.38 New rule produced :
% 2.09/2.38 [263]
% 2.09/2.38 ifeq(product(A,B,C),true,ifeq(sum(C,X,Y),true,ifeq(sum(B,X,Y),true,ifeq(
% 2.09/2.38 sum(A,X,multiplicative_identity),true,true,true),true),true),true)
% 2.09/2.38 -> true
% 2.09/2.38 Current number of equations to process: 5
% 2.09/2.38 Current number of ordered equations: 0
% 2.09/2.38 Current number of rules: 263
% 2.09/2.38 New rule produced :
% 2.09/2.38 [264]
% 2.09/2.38 ifeq(product(A,B,C),true,ifeq(sum(C,X,additive_identity),true,ifeq(sum(B,X,Y),true,
% 2.09/2.38 ifeq(sum(A,X,
% 2.09/2.38 inverse(Y)),true,true,true),true),true),true)
% 2.09/2.38 -> true
% 2.09/2.38 Current number of equations to process: 4
% 2.09/2.38 Current number of ordered equations: 0
% 2.09/2.38 Current number of rules: 264
% 2.09/2.38 New rule produced :
% 2.09/2.38 [265]
% 2.09/2.38 ifeq(product(A,B,C),true,ifeq(sum(C,X,additive_identity),true,ifeq(sum(B,X,
% 2.09/2.38 inverse(Y)),true,
% 2.09/2.38 ifeq(sum(A,X,Y),true,true,true),true),true),true)
% 2.09/2.38 -> true
% 2.09/2.38 Current number of equations to process: 3
% 2.09/2.38 Current number of ordered equations: 0
% 2.09/2.38 Current number of rules: 265
% 2.09/2.38 New rule produced :
% 2.09/2.38 [266]
% 2.09/2.38 ifeq(product(A,B,C),true,ifeq(sum(C,X,x_inverse_times_y_inverse),true,
% 2.09/2.38 ifeq(sum(B,X,inverse(y)),true,ifeq(sum(A,X,inverse(x)),true,true,true),true),true),true)
% 2.09/2.38 -> true
% 2.09/2.38 Current number of equations to process: 2
% 2.09/2.38 Current number of ordered equations: 0
% 2.09/2.38 Current number of rules: 266
% 2.09/2.38 New rule produced :
% 2.09/2.38 [267]
% 2.09/2.38 ifeq(product(A,B,C),true,ifeq(sum(C,X,multiply(Y,Z)),true,ifeq(sum(B,X,Z),true,
% 2.09/2.38 ifeq(sum(A,X,Y),true,true,true),true),true),true)
% 2.17/2.52 -> true
% 2.17/2.52 Current number of equations to process: 1
% 2.17/2.52 Current number of ordered equations: 0
% 2.17/2.52 Current number of rules: 267
% 2.17/2.52 New rule produced :
% 2.17/2.52 [268]
% 2.17/2.52 ifeq(product(A,additive_identity,B),true,ifeq(product(A,C,X),true,ifeq(
% 2.17/2.52 sum(X,B,Y),true,
% 2.17/2.52 product(A,C,Y),true),true),true)
% 2.17/2.52 -> true
% 2.17/2.52 Current number of equations to process: 29
% 2.17/2.52 Current number of ordered equations: 1
% 2.17/2.52 Current number of rules: 268
% 2.17/2.52 New rule produced :
% 2.17/2.52 [269]
% 2.17/2.52 ifeq(product(A,B,additive_identity),true,ifeq(product(A,C,X),true,ifeq(
% 2.17/2.52 sum(C,B,Y),true,
% 2.17/2.52 product(A,Y,X),true),true),true)
% 2.17/2.52 -> true
% 2.17/2.52 Current number of equations to process: 29
% 2.17/2.52 Current number of ordered equations: 0
% 2.17/2.52 Current number of rules: 269
% 2.17/2.52 New rule produced :
% 2.17/2.52 [270]
% 2.17/2.52 ifeq(product(A,B,C),true,ifeq(product(A,X,additive_identity),true,ifeq(
% 2.17/2.52 sum(X,B,Y),true,
% 2.17/2.52 product(A,Y,C),true),true),true)
% 2.17/2.52 -> true
% 2.17/2.52 Current number of equations to process: 27
% 2.17/2.52 Current number of ordered equations: 1
% 2.17/2.52 Current number of rules: 270
% 2.17/2.52 New rule produced :
% 2.17/2.52 [271]
% 2.17/2.52 ifeq(product(A,B,C),true,ifeq(product(A,additive_identity,X),true,ifeq(
% 2.17/2.52 sum(X,C,Y),true,
% 2.17/2.52 product(A,B,Y),true),true),true)
% 2.17/2.52 -> true
% 2.17/2.52 Current number of equations to process: 27
% 2.17/2.52 Current number of ordered equations: 0
% 2.17/2.52 Current number of rules: 271
% 2.17/2.52 New rule produced :
% 2.17/2.52 [272]
% 2.17/2.52 ifeq(product(A,B,C),true,ifeq(sum(C,A,X),true,ifeq(sum(B,multiplicative_identity,Y),true,
% 2.17/2.52 product(A,Y,X),true),true),true)
% 2.17/2.52 -> true
% 2.17/2.52 Current number of equations to process: 25
% 2.17/2.52 Current number of ordered equations: 1
% 2.17/2.52 Current number of rules: 272
% 2.17/2.52 New rule produced :
% 2.17/2.52 [273]
% 2.17/2.52 ifeq(product(A,B,C),true,ifeq(sum(A,C,X),true,ifeq(sum(multiplicative_identity,B,Y),true,
% 2.17/2.52 product(A,Y,X),true),true),true)
% 2.17/2.52 -> true
% 2.17/2.52 Current number of equations to process: 25
% 2.17/2.52 Current number of ordered equations: 0
% 2.17/2.52 Current number of rules: 273
% 2.17/2.52 New rule produced :
% 2.17/2.52 [274]
% 2.17/2.52 ifeq(product(A,B,y),true,ifeq(product(A,C,x),true,ifeq(sum(C,B,X),true,
% 2.17/2.52 product(A,X,x_plus_y),true),true),true)
% 2.17/2.52 -> true
% 2.17/2.52 Current number of equations to process: 23
% 2.17/2.52 Current number of ordered equations: 1
% 2.17/2.52 Current number of rules: 274
% 2.17/2.52 New rule produced :
% 2.17/2.52 [275]
% 2.17/2.52 ifeq(product(A,y,B),true,ifeq(product(A,x,C),true,ifeq(sum(C,B,X),true,
% 2.17/2.52 product(A,x_plus_y,X),true),true),true)
% 2.17/2.52 -> true
% 2.17/2.52 Current number of equations to process: 23
% 2.17/2.52 Current number of ordered equations: 0
% 2.17/2.52 Current number of rules: 275
% 2.17/2.52 New rule produced :
% 2.17/2.52 [276]
% 2.17/2.52 ifeq(product(multiplicative_identity,A,B),true,ifeq(sum(B,C,X),true,ifeq(
% 2.17/2.52 sum(A,C,Y),true,
% 2.17/2.52 product(multiplicative_identity,Y,X),true),true),true)
% 2.17/2.52 -> true
% 2.17/2.52 Current number of equations to process: 21
% 2.17/2.52 Current number of ordered equations: 1
% 2.17/2.52 Current number of rules: 276
% 2.17/2.52 New rule produced :
% 2.17/2.52 [277]
% 2.17/2.52 ifeq(product(multiplicative_identity,A,B),true,ifeq(sum(C,B,X),true,ifeq(
% 2.17/2.52 sum(C,A,Y),true,
% 2.17/2.52 product(multiplicative_identity,Y,X),true),true),true)
% 2.17/2.52 -> true
% 2.17/2.52 Current number of equations to process: 21
% 2.17/2.52 Current number of ordered equations: 0
% 2.17/2.52 Current number of rules: 277
% 2.17/2.52 New rule produced :
% 2.17/2.52 [278]
% 2.17/2.52 ifeq(product(A,inverse(B),C),true,ifeq(product(A,B,X),true,ifeq(sum(X,C,Y),true,
% 2.17/2.52 product(A,multiplicative_identity,Y),true),true),true)
% 2.17/2.52 -> true
% 2.17/2.52 Current number of equations to process: 19
% 2.17/2.52 Current number of ordered equations: 1
% 2.32/2.60 Current number of rules: 278
% 2.32/2.60 New rule produced :
% 2.32/2.60 [279]
% 2.32/2.60 ifeq(product(A,B,inverse(C)),true,ifeq(product(A,X,C),true,ifeq(sum(X,B,Y),true,
% 2.32/2.60 product(A,Y,multiplicative_identity),true),true),true)
% 2.32/2.60 -> true
% 2.32/2.60 Current number of equations to process: 19
% 2.32/2.60 Current number of ordered equations: 0
% 2.32/2.60 Current number of rules: 279
% 2.32/2.60 New rule produced :
% 2.32/2.60 [280]
% 2.32/2.60 ifeq(product(A,B,C),true,ifeq(product(A,X,inverse(C)),true,ifeq(sum(X,B,Y),true,
% 2.32/2.60 product(A,Y,multiplicative_identity),true),true),true)
% 2.32/2.60 -> true
% 2.32/2.60 Current number of equations to process: 17
% 2.32/2.60 Current number of ordered equations: 1
% 2.32/2.60 Current number of rules: 280
% 2.32/2.60 New rule produced :
% 2.32/2.60 [281]
% 2.32/2.60 ifeq(product(A,B,C),true,ifeq(product(A,inverse(B),X),true,ifeq(sum(X,C,Y),true,
% 2.32/2.60 product(A,multiplicative_identity,Y),true),true),true)
% 2.32/2.60 -> true
% 2.32/2.60 Current number of equations to process: 17
% 2.32/2.60 Current number of ordered equations: 0
% 2.32/2.60 Current number of rules: 281
% 2.32/2.60 New rule produced :
% 2.32/2.60 [282]
% 2.32/2.60 ifeq(product(A,B,C),true,ifeq(sum(C,additive_identity,X),true,ifeq(sum(B,
% 2.32/2.60 inverse(A),Y),true,
% 2.32/2.60 product(A,Y,X),true),true),true)
% 2.32/2.60 -> true
% 2.32/2.60 Current number of equations to process: 15
% 2.32/2.60 Current number of ordered equations: 1
% 2.32/2.60 Current number of rules: 282
% 2.32/2.60 New rule produced :
% 2.32/2.60 [283]
% 2.32/2.60 ifeq(product(A,B,C),true,ifeq(sum(additive_identity,C,X),true,ifeq(sum(
% 2.32/2.60 inverse(A),B,Y),true,
% 2.32/2.60 product(A,Y,X),true),true),true)
% 2.32/2.60 -> true
% 2.32/2.60 Current number of equations to process: 15
% 2.32/2.60 Current number of ordered equations: 0
% 2.32/2.60 Current number of rules: 283
% 2.32/2.60 New rule produced :
% 2.32/2.60 [284]
% 2.32/2.60 ifeq(product(inverse(A),B,C),true,ifeq(sum(C,additive_identity,X),true,
% 2.32/2.60 ifeq(sum(B,A,Y),true,product(inverse(A),Y,X),true),true),true)
% 2.32/2.60 -> true
% 2.32/2.60 Current number of equations to process: 13
% 2.32/2.60 Current number of ordered equations: 1
% 2.32/2.60 Current number of rules: 284
% 2.32/2.60 New rule produced :
% 2.32/2.60 [285]
% 2.32/2.60 ifeq(product(inverse(A),B,C),true,ifeq(sum(additive_identity,C,X),true,
% 2.32/2.60 ifeq(sum(A,B,Y),true,product(inverse(A),Y,X),true),true),true)
% 2.32/2.60 -> true
% 2.32/2.60 Current number of equations to process: 13
% 2.32/2.60 Current number of ordered equations: 0
% 2.32/2.60 Current number of rules: 285
% 2.32/2.60 New rule produced :
% 2.32/2.60 [286]
% 2.32/2.60 ifeq(product(A,B,C),true,ifeq(product(A,X,Y),true,ifeq(sum(X,B,Z),true,
% 2.32/2.60 product(A,Z,add(Y,C)),true),true),true)
% 2.32/2.60 -> true
% 2.32/2.60 Current number of equations to process: 11
% 2.32/2.60 Current number of ordered equations: 1
% 2.32/2.60 Current number of rules: 286
% 2.32/2.60 New rule produced :
% 2.32/2.60 [287]
% 2.32/2.60 ifeq(product(A,B,C),true,ifeq(product(A,X,Y),true,ifeq(sum(Y,C,Z),true,
% 2.32/2.60 product(A,add(X,B),Z),true),true),true)
% 2.32/2.60 -> true
% 2.32/2.60 Current number of equations to process: 11
% 2.32/2.60 Current number of ordered equations: 0
% 2.32/2.60 Current number of rules: 287
% 2.32/2.60 New rule produced :
% 2.32/2.60 [288]
% 2.32/2.60 ifeq(product(A,B,C),true,ifeq(sum(C,multiply(A,X),Y),true,ifeq(sum(B,X,Z),true,
% 2.32/2.60 product(A,Z,Y),true),true),true)
% 2.32/2.60 -> true
% 2.32/2.60 Current number of equations to process: 9
% 2.32/2.60 Current number of ordered equations: 1
% 2.32/2.60 Current number of rules: 288
% 2.32/2.60 New rule produced :
% 2.32/2.60 [289]
% 2.32/2.60 ifeq(product(A,B,C),true,ifeq(sum(multiply(A,X),C,Y),true,ifeq(sum(X,B,Z),true,
% 2.32/2.60 product(A,Z,Y),true),true),true)
% 2.32/2.60 -> true
% 2.32/2.60 Current number of equations to process: 9
% 2.32/2.60 Current number of ordered equations: 0
% 2.32/2.60 Current number of rules: 289
% 2.32/2.60 New rule produced :
% 2.32/2.60 [290]
% 2.32/2.60 ifeq(product(inverse(x),A,B),true,ifeq(sum(B,x_inverse_times_y_inverse,C),true,
% 2.32/2.60 ifeq(sum(A,inverse(y),X),true,product(
% 2.32/2.60 inverse(x),X,C),true),true),true)
% 2.32/2.60 -> true
% 2.32/2.60 Current number of equations to process: 7
% 2.32/2.60 Current number of ordered equations: 1
% 2.68/2.94 Current number of rules: 290
% 2.68/2.94 New rule produced :
% 2.68/2.94 [291]
% 2.68/2.94 ifeq(product(inverse(x),A,B),true,ifeq(sum(x_inverse_times_y_inverse,B,C),true,
% 2.68/2.94 ifeq(sum(inverse(y),A,X),true,product(
% 2.68/2.94 inverse(x),X,C),true),true),true)
% 2.68/2.94 -> true
% 2.68/2.94 Current number of equations to process: 7
% 2.68/2.94 Current number of ordered equations: 0
% 2.68/2.94 Current number of rules: 291
% 2.68/2.94 New rule produced :
% 2.68/2.94 [292]
% 2.68/2.94 ifeq(product(A,B,C),true,ifeq(product(A,X,Y),true,ifeq(sum(Y,C,A),true,
% 2.68/2.94 ifeq(sum(X,B,multiplicative_identity),true,true,true),true),true),true)
% 2.68/2.94 -> true
% 2.68/2.94 Current number of equations to process: 6
% 2.68/2.94 Current number of ordered equations: 0
% 2.68/2.94 Current number of rules: 292
% 2.68/2.94 New rule produced :
% 2.68/2.94 [293]
% 2.68/2.94 ifeq(product(multiplicative_identity,A,B),true,ifeq(product(multiplicative_identity,C,X),true,
% 2.68/2.94 ifeq(sum(X,B,Y),true,ifeq(
% 2.68/2.94 sum(C,A,Y),true,true,true),true),true),true)
% 2.68/2.94 -> true
% 2.68/2.94 Current number of equations to process: 5
% 2.68/2.94 Current number of ordered equations: 0
% 2.68/2.94 Current number of rules: 293
% 2.68/2.94 New rule produced :
% 2.68/2.94 [294]
% 2.68/2.94 ifeq(product(A,B,C),true,ifeq(product(A,X,Y),true,ifeq(sum(Y,C,additive_identity),true,
% 2.68/2.94 ifeq(sum(X,B,inverse(A)),true,true,true),true),true),true)
% 2.68/2.94 -> true
% 2.68/2.94 Current number of equations to process: 4
% 2.68/2.94 Current number of ordered equations: 0
% 2.68/2.94 Current number of rules: 294
% 2.68/2.94 New rule produced :
% 2.68/2.94 [295]
% 2.68/2.94 ifeq(product(inverse(A),B,C),true,ifeq(product(inverse(A),X,Y),true,ifeq(
% 2.68/2.94 sum(Y,C,additive_identity),true,
% 2.68/2.94 ifeq(
% 2.68/2.94 sum(X,B,A),true,true,true),true),true),true)
% 2.68/2.94 -> true
% 2.68/2.94 Current number of equations to process: 3
% 2.68/2.94 Current number of ordered equations: 0
% 2.68/2.94 Current number of rules: 295
% 2.68/2.94 New rule produced :
% 2.68/2.94 [296]
% 2.68/2.94 ifeq(product(A,B,C),true,ifeq(product(A,X,Y),true,ifeq(sum(Y,C,multiply(A,Z)),true,
% 2.68/2.94 ifeq(sum(X,B,Z),true,true,true),true),true),true)
% 2.68/2.94 -> true
% 2.68/2.94 Current number of equations to process: 2
% 2.68/2.94 Current number of ordered equations: 0
% 2.68/2.94 Current number of rules: 296
% 2.68/2.94 New rule produced : [297] ifeq2(sum(y,x,A),true,A,x_plus_y) -> x_plus_y
% 2.68/2.94 Current number of equations to process: 2
% 2.68/2.94 Current number of ordered equations: 1
% 2.68/2.94 Current number of rules: 297
% 2.68/2.94 New rule produced : [298] ifeq2(sum(y,x,A),true,x_plus_y,A) -> A
% 2.68/2.94 Current number of equations to process: 2
% 2.68/2.94 Current number of ordered equations: 0
% 2.68/2.94 Current number of rules: 298
% 2.68/2.94 New rule produced : [299] ifeq2(sum(A,B,C),true,add(B,A),C) -> C
% 2.68/2.94 Current number of equations to process: 23
% 2.68/2.94 Current number of ordered equations: 0
% 2.68/2.94 Current number of rules: 299
% 2.68/2.94 New rule produced : [300] ifeq2(sum(A,B,C),true,C,add(B,A)) -> add(B,A)
% 2.68/2.94 Current number of equations to process: 22
% 2.68/2.94 Current number of ordered equations: 0
% 2.68/2.94 Current number of rules: 300
% 2.68/2.94 New rule produced :
% 2.68/2.94 [301]
% 2.68/2.94 ifeq2(product(inverse(y),inverse(x),A),true,A,x_inverse_times_y_inverse) ->
% 2.68/2.94 x_inverse_times_y_inverse
% 2.68/2.94 Current number of equations to process: 42
% 2.68/2.94 Current number of ordered equations: 1
% 2.68/2.94 Current number of rules: 301
% 2.68/2.94 New rule produced :
% 2.68/2.94 [302]
% 2.68/2.94 ifeq2(product(inverse(y),inverse(x),A),true,x_inverse_times_y_inverse,A) -> A
% 2.68/2.94 Current number of equations to process: 42
% 2.68/2.94 Current number of ordered equations: 0
% 2.68/2.94 Current number of rules: 302
% 2.68/2.94 New rule produced : [303] ifeq2(product(A,B,C),true,multiply(B,A),C) -> C
% 2.68/2.94 Current number of equations to process: 63
% 2.68/2.94 Current number of ordered equations: 0
% 2.68/2.94 Current number of rules: 303
% 2.68/2.94 New rule produced :
% 2.68/2.94 [304] ifeq2(product(A,B,C),true,C,multiply(B,A)) -> multiply(B,A)
% 2.68/2.94 Current number of equations to process: 62
% 2.68/2.94 Current number of ordered equations: 0
% 2.68/2.94 Current number of rules: 304
% 2.68/2.94 New rule produced :
% 2.68/2.94 [305] inverse(multiplicative_identity) -> additive_identity
% 2.68/2.94 Current number of equations to process: 82
% 2.68/2.94 Current number of ordered equations: 0
% 3.35/3.62 Current number of rules: 305
% 3.35/3.62 New rule produced : [306] multiply(A,multiplicative_identity) -> A
% 3.35/3.62 Current number of equations to process: 82
% 3.35/3.62 Current number of ordered equations: 0
% 3.35/3.62 Current number of rules: 306
% 3.35/3.62 New rule produced : [307] multiply(multiplicative_identity,A) -> A
% 3.35/3.62 Current number of equations to process: 82
% 3.35/3.62 Current number of ordered equations: 0
% 3.35/3.62 Current number of rules: 307
% 3.35/3.62 New rule produced : [308] multiply(inverse(A),A) -> additive_identity
% 3.35/3.62 Current number of equations to process: 82
% 3.35/3.62 Current number of ordered equations: 0
% 3.35/3.62 Current number of rules: 308
% 3.35/3.62 New rule produced : [309] multiply(A,inverse(A)) -> additive_identity
% 3.35/3.62 Current number of equations to process: 82
% 3.35/3.62 Current number of ordered equations: 0
% 3.35/3.62 Current number of rules: 309
% 3.35/3.62 New rule produced :
% 3.35/3.62 [310] multiply(inverse(x),inverse(y)) -> x_inverse_times_y_inverse
% 3.35/3.62 Current number of equations to process: 82
% 3.35/3.62 Current number of ordered equations: 0
% 3.35/3.62 Current number of rules: 310
% 3.35/3.62 New rule produced :
% 3.35/3.62 [311] multiply(inverse(y),inverse(x)) -> x_inverse_times_y_inverse
% 3.35/3.62 Current number of equations to process: 82
% 3.35/3.62 Current number of ordered equations: 0
% 3.35/3.62 Current number of rules: 311
% 3.35/3.62 multiply(B,A) = multiply(A,B) (birth = 1476, lhs_size = 3, rhs_size = 3,trace = Cp of 41 and 30)
% 3.35/3.62 Initializing completion ...
% 3.35/3.62 New rule produced :
% 3.35/3.62 [1] additive_identity <-> inverse(multiplicative_identity)
% 3.35/3.62 Current number of equations to process: 82
% 3.35/3.62 Current number of ordered equations: 611
% 3.35/3.62 Current number of rules: 1
% 3.35/3.62 New rule produced :
% 3.35/3.62 [2] inverse(multiplicative_identity) <-> additive_identity
% 3.35/3.62 Current number of equations to process: 82
% 3.35/3.62 Current number of ordered equations: 610
% 3.35/3.62 Current number of rules: 2
% 3.35/3.62 New rule produced : [3] A <-> multiplicative_identity multiply A
% 3.35/3.62 Current number of equations to process: 82
% 3.35/3.62 Current number of ordered equations: 609
% 3.35/3.62 Current number of rules: 3
% 3.35/3.62 New rule produced : [4] multiplicative_identity multiply A <-> A
% 3.35/3.62 Current number of equations to process: 82
% 3.35/3.62 Current number of ordered equations: 608
% 3.35/3.62 Current number of rules: 4
% 3.35/3.62 New rule produced : [5] additive_identity <-> inverse(A) multiply A
% 3.35/3.62 Current number of equations to process: 86
% 3.35/3.62 Current number of ordered equations: 609
% 3.35/3.62 Current number of rules: 5
% 3.35/3.62 New rule produced : [6] true <-> sum(X,additive_identity,X)
% 3.35/3.62 Current number of equations to process: 86
% 3.35/3.62 Current number of ordered equations: 608
% 3.35/3.62 Current number of rules: 6
% 3.35/3.62 New rule produced : [7] true <-> sum(additive_identity,X,X)
% 3.35/3.62 Current number of equations to process: 86
% 3.35/3.62 Current number of ordered equations: 607
% 3.35/3.62 Current number of rules: 7
% 3.35/3.62 New rule produced : [8] true <-> product(X,multiplicative_identity,X)
% 3.35/3.62 Current number of equations to process: 86
% 3.35/3.62 Current number of ordered equations: 606
% 3.35/3.62 Current number of rules: 8
% 3.35/3.62 New rule produced : [9] true <-> sum(x,y,x_plus_y)
% 3.35/3.62 Current number of equations to process: 86
% 3.35/3.62 Current number of ordered equations: 605
% 3.35/3.62 Current number of rules: 9
% 3.35/3.62 New rule produced : [10] true <-> sum(y,x,x_plus_y)
% 3.35/3.62 Current number of equations to process: 86
% 3.35/3.62 Current number of ordered equations: 604
% 3.35/3.62 Current number of rules: 10
% 3.35/3.62 New rule produced : [11] true <-> product(multiplicative_identity,X,X)
% 3.35/3.62 Current number of equations to process: 86
% 3.35/3.62 Current number of ordered equations: 603
% 3.35/3.62 Current number of rules: 11
% 3.35/3.62 New rule produced : [12] inverse(A) multiply A <-> additive_identity
% 3.35/3.62 Current number of equations to process: 86
% 3.35/3.62 Current number of ordered equations: 602
% 3.35/3.62 Current number of rules: 12
% 3.35/3.62 New rule produced : [13] sum(X,additive_identity,X) <-> true
% 3.35/3.62 Current number of equations to process: 86
% 3.35/3.62 Current number of ordered equations: 601
% 3.35/3.62 Current number of rules: 13
% 3.35/3.62 New rule produced : [14] sum(additive_identity,X,X) <-> true
% 3.35/3.62 Current number of equations to process: 86
% 3.35/3.62 Current number of ordered equations: 600
% 3.35/3.62 Current number of rules: 14
% 3.35/3.62 New rule produced : [15] product(X,multiplicative_identity,X) <-> true
% 3.35/3.62 Current number of equations to process: 86
% 3.35/3.62 Current number of ordered equations: 599
% 3.35/3.62 Current number of rules: 15
% 3.35/3.62 New rule produced : [16] sum(x,y,x_plus_y) <-> true
% 3.35/3.62 Current number of equations to process: 86
% 3.35/3.62 Current number of ordered equations: 598
% 3.35/3.62 Current number of rules: 16
% 3.35/3.62 New rule produced : [17] sum(y,x,x_plus_y) <-> true
% 5.59/5.85 Current number of equations to process: 86
% 5.59/5.85 Current number of ordered equations: 597
% 5.59/5.85 Current number of rules: 17
% 5.59/5.85 New rule produced : [18] product(multiplicative_identity,X,X) <-> true
% 5.59/5.85 Current number of equations to process: 86
% 5.59/5.85 Current number of ordered equations: 596
% 5.59/5.85 Current number of rules: 18
% 5.59/5.85 New rule produced :
% 5.59/5.85 [19] x_inverse_times_y_inverse <-> inverse(y) multiply inverse(x)
% 5.59/5.85 Current number of equations to process: 133
% 5.59/5.85 Current number of ordered equations: 599
% 5.59/5.85 Current number of rules: 19
% 5.59/5.85 New rule produced : [20] B <-> ifeq(A,A,B,C)
% 5.59/5.85 Current number of equations to process: 133
% 5.59/5.85 Current number of ordered equations: 598
% 5.59/5.85 Current number of rules: 20
% 5.59/5.85 New rule produced : [21] B <-> ifeq2(A,A,B,C)
% 5.59/5.85 Current number of equations to process: 133
% 5.59/5.85 Current number of ordered equations: 597
% 5.59/5.85 Current number of rules: 21
% 5.59/5.85 New rule produced : [22] true <-> sum(X,inverse(X),multiplicative_identity)
% 5.59/5.85 Current number of equations to process: 133
% 5.59/5.85 Current number of ordered equations: 596
% 5.59/5.85 Current number of rules: 22
% 5.59/5.85 New rule produced : [23] true <-> product(inverse(X),X,additive_identity)
% 5.59/5.85 Current number of equations to process: 133
% 5.59/5.85 Current number of ordered equations: 595
% 5.59/5.85 Current number of rules: 23
% 5.59/5.85 New rule produced : [24] true <-> sum(inverse(X),X,multiplicative_identity)
% 5.59/5.85 Current number of equations to process: 133
% 5.59/5.85 Current number of ordered equations: 594
% 5.59/5.85 Current number of rules: 24
% 5.59/5.85 New rule produced : [25] true <-> product(X,inverse(X),additive_identity)
% 5.59/5.85 Current number of equations to process: 133
% 5.59/5.85 Current number of ordered equations: 593
% 5.59/5.85 Current number of rules: 25
% 5.59/5.85 New rule produced :
% 5.59/5.85 [26] inverse(y) multiply inverse(x) <-> x_inverse_times_y_inverse
% 5.59/5.85 Current number of equations to process: 133
% 5.59/5.85 Current number of ordered equations: 592
% 5.59/5.85 Current number of rules: 26
% 5.59/5.85 New rule produced : [27] sum(X,inverse(X),multiplicative_identity) <-> true
% 5.59/5.85 Current number of equations to process: 133
% 5.59/5.85 Current number of ordered equations: 591
% 5.59/5.85 Current number of rules: 27
% 5.59/5.85 New rule produced : [28] product(inverse(X),X,additive_identity) <-> true
% 5.59/5.85 Current number of equations to process: 133
% 5.59/5.85 Current number of ordered equations: 590
% 5.59/5.85 Current number of rules: 28
% 5.59/5.85 New rule produced : [29] ifeq(A,A,B,C) <-> B
% 5.59/5.85 Current number of equations to process: 133
% 5.59/5.85 Current number of ordered equations: 589
% 5.59/5.85 Current number of rules: 29
% 5.59/5.85 New rule produced : [30] ifeq2(A,A,B,C) <-> B
% 5.59/5.85 Current number of equations to process: 133
% 5.59/5.85 Current number of ordered equations: 588
% 5.59/5.85 Current number of rules: 30
% 5.59/5.85 New rule produced : [31] sum(inverse(X),X,multiplicative_identity) <-> true
% 5.59/5.85 Current number of equations to process: 133
% 5.59/5.85 Current number of ordered equations: 587
% 5.59/5.85 Current number of rules: 31
% 5.59/5.85 New rule produced : [32] product(X,inverse(X),additive_identity) <-> true
% 5.59/5.85 Current number of equations to process: 133
% 5.59/5.85 Current number of ordered equations: 586
% 5.59/5.85 Current number of rules: 32
% 5.59/5.85 New rule produced : [33] true <-> sum(A,B,add(B,A))
% 5.59/5.85 Current number of equations to process: 275
% 5.59/5.85 Current number of ordered equations: 651
% 5.59/5.85 Current number of rules: 33
% 5.59/5.85 New rule produced : [34] true <-> sum(X,Y,add(X,Y))
% 5.59/5.85 Current number of equations to process: 275
% 5.59/5.85 Current number of ordered equations: 650
% 5.59/5.85 Current number of rules: 34
% 5.59/5.85 New rule produced :
% 5.59/5.85 [35] true <-> product(inverse(x),inverse(y),x_inverse_times_y_inverse)
% 5.59/5.85 Current number of equations to process: 275
% 5.59/5.85 Current number of ordered equations: 649
% 5.59/5.85 Current number of rules: 35
% 5.59/5.85 New rule produced :
% 5.59/5.85 [36] true <-> product(inverse(y),inverse(x),x_inverse_times_y_inverse)
% 5.59/5.85 Current number of equations to process: 275
% 5.59/5.85 Current number of ordered equations: 648
% 5.59/5.85 Current number of rules: 36
% 5.59/5.85 New rule produced : [37] true <-> product(A,B,A multiply B)
% 5.59/5.85 Current number of equations to process: 275
% 5.59/5.85 Current number of ordered equations: 646
% 5.59/5.85 Current number of rules: 37
% 5.59/5.85 New rule produced : [38] sum(A,B,add(B,A)) <-> true
% 5.59/5.85 Current number of equations to process: 275
% 5.59/5.85 Current number of ordered equations: 645
% 5.59/5.85 Current number of rules: 38
% 5.59/5.85 New rule produced : [39] sum(X,Y,add(X,Y)) <-> true
% 5.59/5.85 Current number of equations to process: 275
% 5.59/5.85 Current number of ordered equations: 644
% 5.59/5.85 Current number of rules: 39
% 9.96/10.25 New rule produced :
% 9.96/10.25 [40] product(inverse(x),inverse(y),x_inverse_times_y_inverse) <-> true
% 9.96/10.25 Current number of equations to process: 275
% 9.96/10.25 Current number of ordered equations: 643
% 9.96/10.25 Current number of rules: 40
% 9.96/10.25 New rule produced :
% 9.96/10.25 [41] product(inverse(y),inverse(x),x_inverse_times_y_inverse) <-> true
% 9.96/10.25 Current number of equations to process: 275
% 9.96/10.25 Current number of ordered equations: 642
% 9.96/10.25 Current number of rules: 41
% 9.96/10.25 New rule produced : [42] product(A,B,A multiply B) <-> true
% 9.96/10.25 Current number of equations to process: 275
% 9.96/10.25 Current number of ordered equations: 640
% 9.96/10.25 Current number of rules: 42
% 9.96/10.25 New rule produced :
% 9.96/10.25 [43] A <-> ifeq2(product(multiplicative_identity,A,B),true,B,A)
% 9.96/10.25 Current number of equations to process: 255
% 9.96/10.25 Current number of ordered equations: 943
% 9.96/10.25 Current number of rules: 43
% 9.96/10.25 New rule produced :
% 9.96/10.25 [44] A <-> ifeq2(product(A,multiplicative_identity,B),true,B,A)
% 9.96/10.25 Current number of equations to process: 255
% 9.96/10.25 Current number of ordered equations: 942
% 9.96/10.25 Current number of rules: 44
% 9.96/10.25 New rule produced : [45] A <-> ifeq2(sum(additive_identity,A,B),true,B,A)
% 9.96/10.25 Current number of equations to process: 255
% 9.96/10.25 Current number of ordered equations: 941
% 9.96/10.25 Current number of rules: 45
% 9.96/10.25 New rule produced : [46] A <-> ifeq2(sum(x,y,A),true,x_plus_y,A)
% 9.96/10.25 Current number of equations to process: 255
% 9.96/10.25 Current number of ordered equations: 940
% 9.96/10.25 Current number of rules: 46
% 9.96/10.25 New rule produced : [47] A <-> ifeq2(sum(y,x,A),true,x_plus_y,A)
% 9.96/10.25 Current number of equations to process: 255
% 9.96/10.25 Current number of ordered equations: 939
% 9.96/10.25 Current number of rules: 47
% 9.96/10.25 New rule produced : [48] A <-> ifeq2(sum(A,additive_identity,B),true,B,A)
% 9.96/10.25 Current number of equations to process: 255
% 9.96/10.25 Current number of ordered equations: 938
% 9.96/10.25 Current number of rules: 48
% 9.96/10.25 New rule produced :
% 9.96/10.25 [49] B <-> ifeq2(product(multiplicative_identity,A,B),true,A,B)
% 9.96/10.25 Current number of equations to process: 255
% 9.96/10.25 Current number of ordered equations: 937
% 9.96/10.25 Current number of rules: 49
% 9.96/10.25 New rule produced :
% 9.96/10.25 [50] B <-> ifeq2(product(A,multiplicative_identity,B),true,A,B)
% 9.96/10.25 Current number of equations to process: 255
% 9.96/10.25 Current number of ordered equations: 936
% 9.96/10.25 Current number of rules: 50
% 9.96/10.25 New rule produced : [51] B <-> ifeq2(sum(additive_identity,A,B),true,A,B)
% 9.96/10.25 Current number of equations to process: 255
% 9.96/10.25 Current number of ordered equations: 935
% 9.96/10.25 Current number of rules: 51
% 9.96/10.25 New rule produced : [52] B <-> ifeq2(sum(A,additive_identity,B),true,A,B)
% 9.96/10.25 Current number of equations to process: 255
% 9.96/10.25 Current number of ordered equations: 934
% 9.96/10.25 Current number of rules: 52
% 9.96/10.25 New rule produced : [53] x_plus_y <-> ifeq2(sum(x,y,A),true,A,x_plus_y)
% 9.96/10.25 Current number of equations to process: 255
% 9.96/10.25 Current number of ordered equations: 933
% 9.96/10.25 Current number of rules: 53
% 9.96/10.25 New rule produced : [54] x_plus_y <-> ifeq2(sum(y,x,A),true,A,x_plus_y)
% 9.96/10.25 Current number of equations to process: 255
% 9.96/10.25 Current number of ordered equations: 932
% 9.96/10.25 Current number of rules: 54
% 9.96/10.25 New rule produced :
% 9.96/10.25 [55] ifeq2(product(multiplicative_identity,A,B),true,B,A) <-> A
% 9.96/10.25 Current number of equations to process: 255
% 9.96/10.25 Current number of ordered equations: 931
% 9.96/10.25 Current number of rules: 55
% 9.96/10.25 New rule produced :
% 9.96/10.25 [56] ifeq2(product(multiplicative_identity,A,B),true,A,B) <-> B
% 9.96/10.25 Current number of equations to process: 255
% 9.96/10.25 Current number of ordered equations: 930
% 9.96/10.25 Current number of rules: 56
% 9.96/10.25 New rule produced :
% 9.96/10.25 [57] ifeq2(product(A,multiplicative_identity,B),true,B,A) <-> A
% 9.96/10.25 Current number of equations to process: 255
% 9.96/10.25 Current number of ordered equations: 929
% 9.96/10.25 Current number of rules: 57
% 9.96/10.25 New rule produced :
% 9.96/10.25 [58] ifeq2(product(A,multiplicative_identity,B),true,A,B) <-> B
% 9.96/10.25 Current number of equations to process: 255
% 9.96/10.25 Current number of ordered equations: 928
% 9.96/10.25 Current number of rules: 58
% 9.96/10.25 New rule produced : [59] ifeq2(sum(additive_identity,A,B),true,B,A) <-> A
% 9.96/10.25 Current number of equations to process: 255
% 9.96/10.25 Current number of ordered equations: 927
% 9.96/10.25 Current number of rules: 59
% 9.96/10.25 New rule produced : [60] ifeq2(sum(additive_identity,A,B),true,A,B) <-> B
% 9.96/10.25 Current number of equations to process: 255
% 9.96/10.25 Current number of ordered equations: 926
% 9.96/10.25 Current number of rules: 60
% 9.96/10.25 New rule produced : [61] ifeq2(sum(x,y,A),true,A,x_plus_y) <-> x_plus_y
% 17.80/18.09 Current number of equations to process: 255
% 17.80/18.09 Current number of ordered equations: 925
% 17.80/18.09 Current number of rules: 61
% 17.80/18.09 New rule produced : [62] ifeq2(sum(x,y,A),true,x_plus_y,A) <-> A
% 17.80/18.09 Current number of equations to process: 255
% 17.80/18.09 Current number of ordered equations: 924
% 17.80/18.09 Current number of rules: 62
% 17.80/18.09 New rule produced : [63] ifeq2(sum(y,x,A),true,A,x_plus_y) <-> x_plus_y
% 17.80/18.09 Current number of equations to process: 255
% 17.80/18.09 Current number of ordered equations: 923
% 17.80/18.09 Current number of rules: 63
% 17.80/18.09 New rule produced : [64] ifeq2(sum(y,x,A),true,x_plus_y,A) <-> A
% 17.80/18.09 Current number of equations to process: 255
% 17.80/18.09 Current number of ordered equations: 922
% 17.80/18.09 Current number of rules: 64
% 17.80/18.09 New rule produced : [65] ifeq2(sum(A,additive_identity,B),true,B,A) <-> A
% 17.80/18.09 Current number of equations to process: 255
% 17.80/18.09 Current number of ordered equations: 921
% 17.80/18.09 Current number of rules: 65
% 17.80/18.09 New rule produced : [66] ifeq2(sum(A,additive_identity,B),true,A,B) <-> B
% 17.80/18.09 Current number of equations to process: 255
% 17.80/18.09 Current number of ordered equations: 920
% 17.80/18.09 Current number of rules: 66
% 17.80/18.09 New rule produced :
% 17.80/18.09 [67] B <-> ifeq2(product(inverse(A),A,B),true,additive_identity,B)
% 17.80/18.09 Current number of equations to process: 1952
% 17.80/18.09 Current number of ordered equations: 1187
% 17.80/18.09 Current number of rules: 67
% 17.80/18.09 New rule produced :
% 17.80/18.09 [68] B <-> ifeq2(sum(A,inverse(A),B),true,multiplicative_identity,B)
% 17.80/18.09 Current number of equations to process: 1952
% 17.80/18.09 Current number of ordered equations: 1186
% 17.80/18.09 Current number of rules: 68
% 17.80/18.09 New rule produced :
% 17.80/18.09 [69] B <-> ifeq2(product(A,inverse(A),B),true,additive_identity,B)
% 17.80/18.09 Current number of equations to process: 1952
% 17.80/18.09 Current number of ordered equations: 1185
% 17.80/18.09 Current number of rules: 69
% 17.80/18.09 New rule produced :
% 17.80/18.09 [70] B <-> ifeq2(sum(inverse(A),A,B),true,multiplicative_identity,B)
% 17.80/18.09 Current number of equations to process: 1952
% 17.80/18.09 Current number of ordered equations: 1184
% 17.80/18.09 Current number of rules: 70
% 17.80/18.09 New rule produced :
% 17.80/18.09 [71]
% 17.80/18.09 multiplicative_identity <->
% 17.80/18.09 ifeq2(sum(A,inverse(A),B),true,B,multiplicative_identity)
% 17.80/18.09 Current number of equations to process: 1952
% 17.80/18.09 Current number of ordered equations: 1183
% 17.80/18.09 Current number of rules: 71
% 17.80/18.09 New rule produced :
% 17.80/18.09 [72]
% 17.80/18.09 multiplicative_identity <->
% 17.80/18.09 ifeq2(sum(inverse(A),A,B),true,B,multiplicative_identity)
% 17.80/18.09 Current number of equations to process: 1952
% 17.80/18.09 Current number of ordered equations: 1182
% 17.80/18.09 Current number of rules: 72
% 17.80/18.09 New rule produced :
% 17.80/18.09 [73]
% 17.80/18.09 additive_identity <-> ifeq2(product(inverse(A),A,B),true,B,additive_identity)
% 17.80/18.09 Current number of equations to process: 1952
% 17.80/18.09 Current number of ordered equations: 1181
% 17.80/18.09 Current number of rules: 73
% 17.80/18.09 New rule produced :
% 17.80/18.09 [74]
% 17.80/18.09 additive_identity <-> ifeq2(product(A,inverse(A),B),true,B,additive_identity)
% 17.80/18.09 Current number of equations to process: 1952
% 17.80/18.09 Current number of ordered equations: 1180
% 17.80/18.09 Current number of rules: 74
% 17.80/18.09 New rule produced :
% 17.80/18.09 [75]
% 17.80/18.09 ifeq2(product(inverse(A),A,B),true,B,additive_identity) <-> additive_identity
% 17.80/18.09 Current number of equations to process: 1952
% 17.80/18.09 Current number of ordered equations: 1179
% 17.80/18.09 Current number of rules: 75
% 17.80/18.09 New rule produced :
% 17.80/18.09 [76] ifeq2(product(inverse(A),A,B),true,additive_identity,B) <-> B
% 17.80/18.09 Current number of equations to process: 1952
% 17.80/18.09 Current number of ordered equations: 1178
% 17.80/18.09 Current number of rules: 76
% 17.80/18.09 New rule produced :
% 17.80/18.09 [77]
% 17.80/18.09 ifeq2(sum(A,inverse(A),B),true,B,multiplicative_identity) <->
% 17.80/18.09 multiplicative_identity
% 17.80/18.09 Current number of equations to process: 1952
% 17.80/18.09 Current number of ordered equations: 1177
% 17.80/18.09 Current number of rules: 77
% 17.80/18.09 New rule produced :
% 17.80/18.09 [78] ifeq2(sum(A,inverse(A),B),true,multiplicative_identity,B) <-> B
% 17.80/18.09 Current number of equations to process: 1952
% 17.80/18.09 Current number of ordered equations: 1176
% 17.80/18.09 Current number of rules: 78
% 17.80/18.09 New rule produced :
% 17.80/18.09 [79]
% 17.80/18.09 ifeq2(product(A,inverse(A),B),true,B,additive_identity) <-> additive_identity
% 17.80/18.09 Current number of equations to process: 1952
% 17.80/18.09 Current number of ordered equations: 1175
% 17.80/18.09 Current number of rules: 79
% 17.80/18.09 New rule produced :
% 17.80/18.09 [80] ifeq2(product(A,inverse(A),B),true,additive_identity,B) <-> B
% 17.80/18.09 Current number of equations to process: 1952
% 17.80/18.09 Current number of ordered equations: 1174
% 17.80/18.09 Current number of rules: 80
% 17.80/18.09 New rule produced :
% 17.80/18.09 [81]
% 17.80/18.09 ifeq2(sum(inverse(A),A,B),true,B,multiplicative_identity) <->
% 17.80/18.09 multiplicative_identity
% 35.29/35.54 Current number of equations to process: 1952
% 35.29/35.54 Current number of ordered equations: 1173
% 35.29/35.54 Current number of rules: 81
% 35.29/35.54 New rule produced :
% 35.29/35.54 [82] ifeq2(sum(inverse(A),A,B),true,multiplicative_identity,B) <-> B
% 35.29/35.54 Current number of equations to process: 1952
% 35.29/35.54 Current number of ordered equations: 1172
% 35.29/35.54 Current number of rules: 82
% 35.29/35.54 New rule produced :
% 35.29/35.54 [83]
% 35.29/35.54 A <->
% 35.29/35.54 ifeq2(product(inverse(x),inverse(y),A),true,x_inverse_times_y_inverse,A)
% 35.29/35.54 Current number of equations to process: 3346
% 35.29/35.54 Current number of ordered equations: 1491
% 35.29/35.54 Current number of rules: 83
% 35.29/35.54 New rule produced :
% 35.29/35.54 [84]
% 35.29/35.54 A <->
% 35.29/35.54 ifeq2(product(inverse(y),inverse(x),A),true,x_inverse_times_y_inverse,A)
% 35.29/35.54 Current number of equations to process: 3346
% 35.29/35.54 Current number of ordered equations: 1490
% 35.29/35.54 Current number of rules: 84
% 35.29/35.54 New rule produced :
% 35.29/35.54 [85]
% 35.29/35.54 x_inverse_times_y_inverse <->
% 35.29/35.54 ifeq2(product(inverse(x),inverse(y),A),true,A,x_inverse_times_y_inverse)
% 35.29/35.54 Current number of equations to process: 3346
% 35.29/35.54 Current number of ordered equations: 1489
% 35.29/35.54 Current number of rules: 85
% 35.29/35.54 New rule produced :
% 35.29/35.54 [86]
% 35.29/35.54 x_inverse_times_y_inverse <->
% 35.29/35.54 ifeq2(product(inverse(y),inverse(x),A),true,A,x_inverse_times_y_inverse)
% 35.29/35.54 Current number of equations to process: 3346
% 35.29/35.54 Current number of ordered equations: 1488
% 35.29/35.54 Current number of rules: 86
% 35.29/35.54 New rule produced : [87] C <-> ifeq2(sum(A,B,C),true,add(B,A),C)
% 35.29/35.54 Current number of equations to process: 3346
% 35.29/35.54 Current number of ordered equations: 1487
% 35.29/35.54 Current number of rules: 87
% 35.29/35.54 New rule produced : [88] C <-> ifeq2(sum(A,B,C),true,add(A,B),C)
% 35.29/35.54 Current number of equations to process: 3346
% 35.29/35.54 Current number of ordered equations: 1486
% 35.29/35.54 Current number of rules: 88
% 35.29/35.54 New rule produced : [89] C <-> ifeq2(product(A,B,C),true,A multiply B,C)
% 35.29/35.54 Current number of equations to process: 3346
% 35.29/35.54 Current number of ordered equations: 1485
% 35.29/35.54 Current number of rules: 89
% 35.29/35.54 New rule produced : [90] ifeq2(sum(A,B,C),true,add(B,A),C) <-> C
% 35.29/35.54 Current number of equations to process: 3346
% 35.29/35.54 Current number of ordered equations: 1484
% 35.29/35.54 Current number of rules: 90
% 35.29/35.54 New rule produced : [91] ifeq2(sum(A,B,C),true,add(A,B),C) <-> C
% 35.29/35.54 Current number of equations to process: 3346
% 35.29/35.54 Current number of ordered equations: 1483
% 35.29/35.54 Current number of rules: 91
% 35.29/35.54 New rule produced :
% 35.29/35.54 [92]
% 35.29/35.54 ifeq2(product(inverse(x),inverse(y),A),true,A,x_inverse_times_y_inverse) <->
% 35.29/35.54 x_inverse_times_y_inverse
% 35.29/35.54 Current number of equations to process: 3346
% 35.29/35.54 Current number of ordered equations: 1482
% 35.29/35.54 Current number of rules: 92
% 35.29/35.54 New rule produced :
% 35.29/35.54 [93]
% 35.29/35.54 ifeq2(product(inverse(x),inverse(y),A),true,x_inverse_times_y_inverse,A) <->
% 35.29/35.54 A
% 35.29/35.54 Current number of equations to process: 3346
% 35.29/35.54 Current number of ordered equations: 1481
% 35.29/35.54 Current number of rules: 93
% 35.29/35.54 New rule produced : [94] ifeq2(product(A,B,C),true,A multiply B,C) <-> C
% 35.29/35.54 Current number of equations to process: 3346
% 35.29/35.54 Current number of ordered equations: 1480
% 35.29/35.54 Current number of rules: 94
% 35.29/35.54 New rule produced :
% 35.29/35.54 [95]
% 35.29/35.54 ifeq2(product(inverse(y),inverse(x),A),true,A,x_inverse_times_y_inverse) <->
% 35.29/35.54 x_inverse_times_y_inverse
% 35.29/35.54 Current number of equations to process: 3346
% 35.29/35.54 Current number of ordered equations: 1479
% 35.29/35.54 Current number of rules: 95
% 35.29/35.54 New rule produced :
% 35.29/35.54 [96]
% 35.29/35.54 ifeq2(product(inverse(y),inverse(x),A),true,x_inverse_times_y_inverse,A) <->
% 35.29/35.54 A
% 35.29/35.54 Current number of equations to process: 3346
% 35.29/35.54 Current number of ordered equations: 1478
% 35.29/35.54 Current number of rules: 96
% 35.29/35.54 New rule produced : [97] true <-> ifeq(sum(X,Y,Z),true,sum(Y,X,Z),true)
% 35.29/35.54 Current number of equations to process: 2292
% 35.29/35.54 Current number of ordered equations: 2091
% 35.29/35.54 Current number of rules: 97
% 35.29/35.54 New rule produced :
% 35.29/35.54 [98] true <-> ifeq(product(X,Y,Z),true,product(Y,X,Z),true)
% 35.29/35.54 Current number of equations to process: 2292
% 35.29/35.54 Current number of ordered equations: 2090
% 35.29/35.54 Current number of rules: 98
% 35.29/35.54 New rule produced : [99] ifeq2(sum(A,B,C),true,C,add(B,A)) <-> add(B,A)
% 35.29/35.54 Current number of equations to process: 2292
% 35.29/35.54 Current number of ordered equations: 2089
% 35.29/35.54 Current number of rules: 99
% 35.29/35.54 New rule produced : [100] ifeq2(sum(A,B,C),true,C,add(A,B)) <-> add(A,B)
% 35.29/35.54 Current number of equations to process: 2292
% 35.29/35.54 Current number of ordered equations: 2088
% 35.29/35.54 Current number of rules: 100
% 35.29/35.54 New rule produced : [101] ifeq(sum(X,Y,Z),true,sum(Y,X,Z),true) <-> true
% 102.70/102.97 Current number of equations to process: 2292
% 102.70/102.97 Current number of ordered equations: 2087
% 102.70/102.97 Current number of rules: 101
% 102.70/102.97 New rule produced :
% 102.70/102.97 [102] A multiply B <-> ifeq2(product(A,B,C),true,C,A multiply B)
% 102.70/102.97 Current number of equations to process: 2292
% 102.70/102.97 Current number of ordered equations: 2086
% 102.70/102.97 Current number of rules: 102
% 102.70/102.97 New rule produced : [103] add(B,A) <-> ifeq2(sum(A,B,C),true,C,add(B,A))
% 102.70/102.97 Current number of equations to process: 2292
% 102.70/102.97 Current number of ordered equations: 2085
% 102.70/102.97 Current number of rules: 103
% 102.70/102.97 New rule produced : [104] add(A,B) <-> ifeq2(sum(A,B,C),true,C,add(A,B))
% 102.70/102.97 Current number of equations to process: 2292
% 102.70/102.97 Current number of ordered equations: 2084
% 102.70/102.97 Current number of rules: 104
% 102.70/102.97 New rule produced :
% 102.70/102.97 [105] ifeq(product(X,Y,Z),true,product(Y,X,Z),true) <-> true
% 102.70/102.97 Current number of equations to process: 2292
% 102.70/102.97 Current number of ordered equations: 2083
% 102.70/102.97 Current number of rules: 105
% 102.70/102.97 New rule produced :
% 102.70/102.97 [106] ifeq2(product(A,B,C),true,C,A multiply B) <-> A multiply B
% 102.70/102.97 Current number of equations to process: 2292
% 102.70/102.97 Current number of ordered equations: 2082
% 102.70/102.97 Current number of rules: 106
% 102.70/102.97 New rule produced :
% 102.70/102.97 [107] V <-> ifeq2(product(X,Y,V),true,ifeq2(product(X,Y,U),true,U,V),V)
% 102.70/102.97 Current number of equations to process: 1082
% 102.70/102.97 Current number of ordered equations: 6263
% 102.70/102.97 Current number of rules: 107
% 102.70/102.97 New rule produced :
% 102.70/102.97 [108] V <-> ifeq2(sum(X,Y,V),true,ifeq2(sum(X,Y,U),true,U,V),V)
% 102.70/102.97 Current number of equations to process: 1082
% 102.70/102.97 Current number of ordered equations: 6262
% 102.70/102.97 Current number of rules: 108
% 102.70/102.97 New rule produced :
% 102.70/102.97 [109] ifeq2(product(X,Y,V),true,ifeq2(product(X,Y,U),true,U,V),V) <-> V
% 102.70/102.97 Current number of equations to process: 1082
% 102.70/102.97 Current number of ordered equations: 6261
% 102.70/102.97 Current number of rules: 109
% 102.70/102.97 New rule produced :
% 102.70/102.97 [110] ifeq2(sum(X,Y,V),true,ifeq2(sum(X,Y,U),true,U,V),V) <-> V
% 102.70/102.97 Current number of equations to process: 1082
% 102.70/102.97 Current number of ordered equations: 6260
% 102.70/102.97 Current number of rules: 110
% 102.70/102.97 New rule produced :
% 102.70/102.97 [111]
% 102.70/102.97 true <->
% 102.70/102.97 ifeq(product(A,B,B),true,ifeq(product(A,C,X),true,ifeq(product(A,X,C),true,true,true),true),true)
% 102.70/102.97 Current number of equations to process: 918
% 102.70/102.97 Current number of ordered equations: 8461
% 102.70/102.97 Current number of rules: 111
% 102.70/102.97 New rule produced :
% 102.70/102.97 [112]
% 102.70/102.97 true <->
% 102.70/102.97 ifeq(product(A,B,A),true,ifeq(product(C,B,X),true,ifeq(product(X,B,C),true,true,true),true),true)
% 102.70/102.97 Current number of equations to process: 918
% 102.70/102.97 Current number of ordered equations: 8460
% 102.70/102.97 Current number of rules: 112
% 102.70/102.97 New rule produced :
% 102.70/102.97 [113]
% 102.70/102.97 true <->
% 102.70/102.97 ifeq(product(A,B,A),true,ifeq(product(C,X,C),true,ifeq(sum(C,X,B),true,true,true),true),true)
% 102.70/102.97 Current number of equations to process: 918
% 102.70/102.97 Current number of ordered equations: 8459
% 102.70/102.97 Current number of rules: 113
% 102.70/102.97 New rule produced :
% 102.70/102.97 [114]
% 102.70/102.97 true <->
% 102.70/102.97 ifeq(product(A,B,A),true,ifeq(product(C,X,C),true,ifeq(sum(X,C,B),true,true,true),true),true)
% 102.70/102.97 Current number of equations to process: 918
% 102.70/102.97 Current number of ordered equations: 8458
% 102.70/102.97 Current number of rules: 114
% 102.70/102.97 New rule produced :
% 102.70/102.97 [115]
% 102.70/102.97 ifeq(product(A,B,B),true,ifeq(product(A,C,X),true,ifeq(product(A,X,C),true,true,true),true),true)
% 102.70/102.97 <-> true
% 102.70/102.97 Current number of equations to process: 918
% 102.70/102.97 Current number of ordered equations: 8457
% 102.70/102.97 Current number of rules: 115
% 102.70/102.97 New rule produced :
% 102.70/102.97 [116]
% 102.70/102.97 ifeq(product(A,B,A),true,ifeq(product(C,B,X),true,ifeq(product(X,B,C),true,true,true),true),true)
% 102.70/102.97 <-> true
% 102.70/102.97 Current number of equations to process: 918
% 102.70/102.97 Current number of ordered equations: 8456
% 102.70/102.97 Current number of rules: 116
% 102.70/102.97 New rule produced :
% 102.70/102.97 [117]
% 102.70/102.97 ifeq(product(A,B,A),true,ifeq(product(C,X,C),true,ifeq(sum(C,X,B),true,true,true),true),true)
% 102.70/102.97 <-> true
% 102.70/102.97 Current number of equations to process: 918
% 102.70/102.97 Current number of ordered equations: 8455
% 102.70/102.97 Current number of rules: 117
% 102.70/102.97 New rule produced :
% 102.70/102.97 [118]
% 102.70/102.97 ifeq(product(A,B,A),true,ifeq(product(C,X,C),true,ifeq(sum(X,C,B),true,true,true),true),true)
% 102.70/102.97 <-> true
% 102.70/102.97 Current number of equations to process: 918
% 102.70/102.97 Current number of ordered equations: 8454
% 102.70/102.97 Current number of rules: 118
% 102.70/102.97 New rule produced :
% 102.70/102.97 [119]
% 102.70/102.97 true <->
% 102.70/102.97 ifeq(product(A,B,C),true,ifeq(product(A,X,additive_identity),true,ifeq(
% 102.70/102.97 sum(X,B,Y),true,
% 102.70/102.97 product(A,Y,C),true),true),true)
% 156.26/156.62 Current number of equations to process: 2594
% 156.26/156.62 Current number of ordered equations: 9547
% 156.26/156.62 Current number of rules: 119
% 156.26/156.62 New rule produced :
% 156.26/156.62 [120]
% 156.26/156.62 true <->
% 156.26/156.62 ifeq(product(A,B,C),true,ifeq(product(A,additive_identity,X),true,ifeq(
% 156.26/156.62 sum(X,C,Y),true,
% 156.26/156.62 product(A,B,Y),true),true),true)
% 156.26/156.62 Current number of equations to process: 2594
% 156.26/156.62 Current number of ordered equations: 9546
% 156.26/156.62 Current number of rules: 120
% 156.26/156.62 New rule produced :
% 156.26/156.62 [121]
% 156.26/156.62 true <->
% 156.26/156.62 ifeq(product(A,B,C),true,ifeq(sum(C,A,X),true,ifeq(sum(B,multiplicative_identity,Y),true,
% 156.26/156.62 product(A,Y,X),true),true),true)
% 156.26/156.62 Current number of equations to process: 2594
% 156.26/156.62 Current number of ordered equations: 9545
% 156.26/156.62 Current number of rules: 121
% 156.26/156.62 New rule produced :
% 156.26/156.62 [122]
% 156.26/156.62 true <->
% 156.26/156.62 ifeq(product(A,B,C),true,ifeq(sum(A,C,X),true,ifeq(sum(multiplicative_identity,B,Y),true,
% 156.26/156.62 product(A,Y,X),true),true),true)
% 156.26/156.62 Current number of equations to process: 2594
% 156.26/156.62 Current number of ordered equations: 9544
% 156.26/156.62 Current number of rules: 122
% 156.26/156.62 New rule produced :
% 156.26/156.62 [123]
% 156.26/156.62 true <->
% 156.26/156.62 ifeq(product(A,x_plus_y,B),true,ifeq(product(A,y,C),true,ifeq(product(A,x,X),true,
% 156.26/156.62 sum(X,C,B),true),true),true)
% 156.26/156.62 Current number of equations to process: 2594
% 156.26/156.62 Current number of ordered equations: 9543
% 156.26/156.62 Current number of rules: 123
% 156.26/156.62 New rule produced :
% 156.26/156.62 [124]
% 156.26/156.62 true <->
% 156.26/156.62 ifeq(product(multiplicative_identity,A,B),true,ifeq(product(multiplicative_identity,C,X),true,
% 156.26/156.62 ifeq(sum(C,A,Y),true,sum(X,B,Y),true),true),true)
% 156.26/156.62 Current number of equations to process: 2594
% 156.26/156.62 Current number of ordered equations: 9542
% 156.26/156.62 Current number of rules: 124
% 156.26/156.62 New rule produced :
% 156.26/156.62 [125]
% 156.26/156.62 true <->
% 156.26/156.62 ifeq(product(multiplicative_identity,A,B),true,ifeq(product(multiplicative_identity,C,X),true,
% 156.26/156.62 ifeq(sum(C,Y,A),true,sum(X,Y,B),true),true),true)
% 156.26/156.62 Current number of equations to process: 2594
% 156.26/156.62 Current number of ordered equations: 9541
% 156.26/156.62 Current number of rules: 125
% 156.26/156.62 New rule produced :
% 156.26/156.62 [126]
% 156.26/156.62 true <->
% 156.26/156.62 ifeq(product(multiplicative_identity,A,B),true,ifeq(product(multiplicative_identity,C,X),true,
% 156.26/156.62 ifeq(sum(Y,C,A),true,sum(Y,X,B),true),true),true)
% 156.26/156.62 Current number of equations to process: 2594
% 156.26/156.62 Current number of ordered equations: 9540
% 156.26/156.62 Current number of rules: 126
% 156.26/156.62 New rule produced :
% 156.26/156.62 [127]
% 156.26/156.62 true <->
% 156.26/156.62 ifeq(product(A,x_plus_y,B),true,ifeq(product(C,y,X),true,ifeq(sum(x,C,A),true,
% 156.26/156.62 sum(x,X,B),true),true),true)
% 156.26/156.62 Current number of equations to process: 2594
% 156.26/156.62 Current number of ordered equations: 9539
% 156.26/156.62 Current number of rules: 127
% 156.26/156.62 New rule produced :
% 156.26/156.62 [128]
% 156.26/156.62 true <->
% 156.26/156.62 ifeq(product(A,multiplicative_identity,B),true,ifeq(sum(B,C,X),true,ifeq(
% 156.26/156.62 sum(A,C,Y),true,
% 156.26/156.62 product(Y,multiplicative_identity,X),true),true),true)
% 156.26/156.62 Current number of equations to process: 2594
% 156.26/156.62 Current number of ordered equations: 9538
% 156.26/156.62 Current number of rules: 128
% 156.26/156.62 New rule produced :
% 156.26/156.62 [129]
% 156.26/156.62 true <->
% 156.26/156.62 ifeq(product(A,multiplicative_identity,B),true,ifeq(sum(C,B,X),true,ifeq(
% 156.26/156.62 sum(C,A,Y),true,
% 156.26/156.62 product(Y,multiplicative_identity,X),true),true),true)
% 156.26/156.62 Current number of equations to process: 2594
% 156.26/156.62 Current number of ordered equations: 9537
% 156.26/156.62 Current number of rules: 129
% 156.26/156.62 New rule produced :
% 156.26/156.62 [130]
% 156.26/156.62 true <->
% 156.26/156.62 ifeq(product(A,x_plus_y,B),true,ifeq(product(C,x,X),true,ifeq(sum(C,y,A),true,
% 156.26/156.62 sum(X,y,B),true),true),true)
% 156.26/156.62 Current number of equations to process: 2594
% 156.26/156.62 Current number of ordered equations: 9536
% 156.26/156.62 Current number of rules: 130
% 208.29/208.63 New rule produced :
% 208.29/208.63 [131]
% 208.29/208.63 true <->
% 208.29/208.63 ifeq(sum(A,B,C),true,ifeq(sum(A,multiplicative_identity,X),true,ifeq(
% 208.29/208.63 sum(A,B,Y),true,
% 208.29/208.63 product(Y,X,C),true),true),true)
% 208.29/208.63 Current number of equations to process: 2594
% 208.29/208.63 Current number of ordered equations: 9535
% 208.29/208.63 Current number of rules: 131
% 208.29/208.63 New rule produced :
% 208.29/208.63 [132]
% 208.29/208.63 true <->
% 208.29/208.63 ifeq(sum(A,B,C),true,ifeq(sum(A,B,X),true,ifeq(sum(A,multiplicative_identity,Y),true,
% 208.29/208.63 product(Y,X,C),true),true),true)
% 208.29/208.63 Current number of equations to process: 2594
% 208.29/208.63 Current number of ordered equations: 9534
% 208.29/208.63 Current number of rules: 132
% 208.29/208.63 New rule produced :
% 208.29/208.63 [133]
% 208.29/208.63 true <->
% 208.29/208.63 ifeq(product(A,multiplicative_identity,B),true,ifeq(product(C,multiplicative_identity,X),true,
% 208.29/208.63 ifeq(sum(C,A,Y),true,sum(X,B,Y),true),true),true)
% 208.29/208.63 Current number of equations to process: 2594
% 208.29/208.63 Current number of ordered equations: 9533
% 208.29/208.63 Current number of rules: 133
% 208.29/208.63 New rule produced :
% 208.29/208.63 [134]
% 208.29/208.63 true <->
% 208.29/208.63 ifeq(product(A,multiplicative_identity,B),true,ifeq(product(C,multiplicative_identity,X),true,
% 208.29/208.63 ifeq(sum(C,Y,A),true,sum(X,Y,B),true),true),true)
% 208.29/208.63 Current number of equations to process: 2594
% 208.29/208.63 Current number of ordered equations: 9532
% 208.29/208.63 Current number of rules: 134
% 208.29/208.63 New rule produced :
% 208.29/208.63 [135]
% 208.29/208.63 true <->
% 208.29/208.63 ifeq(product(A,multiplicative_identity,B),true,ifeq(product(C,multiplicative_identity,X),true,
% 208.29/208.63 ifeq(sum(Y,C,A),true,sum(Y,X,B),true),true),true)
% 208.29/208.63 Current number of equations to process: 2594
% 208.29/208.63 Current number of ordered equations: 9531
% 208.29/208.63 Current number of rules: 135
% 208.29/208.63 New rule produced :
% 208.29/208.63 [136]
% 208.29/208.63 true <->
% 208.29/208.63 ifeq(sum(A,B,C),true,ifeq(sum(multiplicative_identity,B,X),true,ifeq(
% 208.29/208.63 sum(A,B,Y),true,
% 208.29/208.63 product(Y,X,C),true),true),true)
% 208.29/208.63 Current number of equations to process: 2594
% 208.29/208.63 Current number of ordered equations: 9530
% 208.29/208.63 Current number of rules: 136
% 208.29/208.63 New rule produced :
% 208.29/208.63 [137]
% 208.29/208.63 true <->
% 208.29/208.63 ifeq(sum(A,B,C),true,ifeq(sum(A,B,X),true,ifeq(sum(multiplicative_identity,B,Y),true,
% 208.29/208.63 product(Y,X,C),true),true),true)
% 208.29/208.63 Current number of equations to process: 2594
% 208.29/208.63 Current number of ordered equations: 9529
% 208.29/208.63 Current number of rules: 137
% 208.29/208.63 New rule produced :
% 208.29/208.63 [138]
% 208.29/208.63 true <->
% 208.29/208.63 ifeq(product(y,A,B),true,ifeq(product(x,A,C),true,ifeq(sum(C,B,X),true,
% 208.29/208.63 product(x_plus_y,A,X),true),true),true)
% 208.29/208.63 Current number of equations to process: 2594
% 208.29/208.63 Current number of ordered equations: 9528
% 208.29/208.63 Current number of rules: 138
% 208.29/208.63 New rule produced :
% 208.29/208.63 [139]
% 208.29/208.63 true <->
% 208.29/208.63 ifeq(product(A,additive_identity,B),true,ifeq(sum(C,B,X),true,ifeq(sum(C,A,Y),true,
% 208.29/208.63 product(Y,C,X),true),true),true)
% 208.29/208.63 Current number of equations to process: 2594
% 208.29/208.63 Current number of ordered equations: 9527
% 208.29/208.63 Current number of rules: 139
% 208.29/208.64 New rule produced :
% 208.29/208.64 [140]
% 208.29/208.64 true <->
% 208.29/208.64 ifeq(product(multiplicative_identity,A,B),true,ifeq(sum(B,C,X),true,ifeq(
% 208.29/208.64 sum(A,C,Y),true,
% 208.29/208.64 product(multiplicative_identity,Y,X),true),true),true)
% 208.29/208.64 Current number of equations to process: 2594
% 208.29/208.64 Current number of ordered equations: 9526
% 208.29/208.64 Current number of rules: 140
% 208.29/208.64 New rule produced :
% 208.29/208.64 [141]
% 208.29/208.64 true <->
% 208.29/208.64 ifeq(product(multiplicative_identity,A,B),true,ifeq(sum(C,B,X),true,ifeq(
% 208.29/208.64 sum(C,A,Y),true,
% 208.29/208.64 product(multiplicative_identity,Y,X),true),true),true)
% 208.29/208.64 Current number of equations to process: 2594
% 208.29/208.64 Current number of ordered equations: 9525
% 208.29/208.64 Current number of rules: 141
% 208.29/208.64 New rule produced :
% 208.29/208.64 [142]
% 208.29/208.64 true <->
% 208.29/208.64 ifeq(product(A,additive_identity,B),true,ifeq(sum(B,C,X),true,ifeq(sum(A,C,Y),true,
% 208.29/208.64 product(Y,C,X),true),true),true)
% 272.96/273.29 Current number of equations to process: 2594
% 272.96/273.29 Current number of ordered equations: 9524
% 272.96/273.29 Current number of rules: 142
% 272.96/273.29 New rule produced :
% 272.96/273.29 [143]
% 272.96/273.29 true <->
% 272.96/273.29 ifeq(product(x,A,B),true,ifeq(sum(B,y,C),true,ifeq(sum(A,y,X),true,product(x_plus_y,X,C),true),true),true)
% 272.96/273.29 Current number of equations to process: 2594
% 272.96/273.29 Current number of ordered equations: 9523
% 272.96/273.29 Current number of rules: 143
% 272.96/273.29 New rule produced :
% 272.96/273.29 [144]
% 272.96/273.29 true <->
% 272.96/273.29 ifeq(product(A,additive_identity,B),true,ifeq(product(A,C,X),true,ifeq(
% 272.96/273.29 sum(X,B,Y),true,
% 272.96/273.29 product(A,C,Y),true),true),true)
% 272.96/273.29 Current number of equations to process: 2594
% 272.96/273.29 Current number of ordered equations: 9522
% 272.96/273.29 Current number of rules: 144
% 272.96/273.29 New rule produced :
% 272.96/273.29 [145]
% 272.96/273.29 true <->
% 272.96/273.29 ifeq(product(y,A,B),true,ifeq(sum(x,B,C),true,ifeq(sum(x,A,X),true,product(x_plus_y,X,C),true),true),true)
% 272.96/273.29 Current number of equations to process: 2594
% 272.96/273.29 Current number of ordered equations: 9521
% 272.96/273.29 Current number of rules: 145
% 272.96/273.29 New rule produced :
% 272.96/273.29 [146]
% 272.96/273.29 true <->
% 272.96/273.29 ifeq(product(A,B,y),true,ifeq(product(C,B,x),true,ifeq(sum(C,A,X),true,
% 272.96/273.29 product(X,B,x_plus_y),true),true),true)
% 272.96/273.29 Current number of equations to process: 2594
% 272.96/273.29 Current number of ordered equations: 9520
% 272.96/273.29 Current number of rules: 146
% 272.96/273.29 New rule produced :
% 272.96/273.29 [147]
% 272.96/273.29 true <->
% 272.96/273.29 ifeq(product(additive_identity,A,B),true,ifeq(product(C,A,X),true,ifeq(
% 272.96/273.29 sum(X,B,Y),true,
% 272.96/273.29 product(C,A,Y),true),true),true)
% 272.96/273.29 Current number of equations to process: 2594
% 272.96/273.29 Current number of ordered equations: 9519
% 272.96/273.29 Current number of rules: 147
% 272.96/273.29 New rule produced :
% 272.96/273.29 [148]
% 272.96/273.29 true <->
% 272.96/273.29 ifeq(product(A,B,y),true,ifeq(sum(x,B,C),true,ifeq(sum(x,A,X),true,product(X,C,x_plus_y),true),true),true)
% 272.96/273.29 Current number of equations to process: 2594
% 272.96/273.29 Current number of ordered equations: 9518
% 272.96/273.29 Current number of rules: 148
% 272.96/273.29 New rule produced :
% 272.96/273.29 [149]
% 272.96/273.29 true <->
% 272.96/273.29 ifeq(product(A,B,x),true,ifeq(sum(B,y,C),true,ifeq(sum(A,y,X),true,product(X,C,x_plus_y),true),true),true)
% 272.96/273.29 Current number of equations to process: 2594
% 272.96/273.29 Current number of ordered equations: 9517
% 272.96/273.29 Current number of rules: 149
% 272.96/273.29 New rule produced :
% 272.96/273.29 [150]
% 272.96/273.29 true <->
% 272.96/273.29 ifeq(product(additive_identity,A,B),true,ifeq(sum(C,B,X),true,ifeq(sum(C,A,Y),true,
% 272.96/273.29 product(C,Y,X),true),true),true)
% 272.96/273.29 Current number of equations to process: 2594
% 272.96/273.29 Current number of ordered equations: 9516
% 272.96/273.29 Current number of rules: 150
% 272.96/273.29 New rule produced :
% 272.96/273.29 [151]
% 272.96/273.29 true <->
% 272.96/273.29 ifeq(product(A,B,additive_identity),true,ifeq(product(C,B,X),true,ifeq(
% 272.96/273.29 sum(C,A,Y),true,
% 272.96/273.29 product(Y,B,X),true),true),true)
% 272.96/273.29 Current number of equations to process: 2594
% 272.96/273.29 Current number of ordered equations: 9515
% 272.96/273.29 Current number of rules: 151
% 272.96/273.29 New rule produced :
% 272.96/273.29 [152]
% 272.96/273.29 true <->
% 272.96/273.29 ifeq(product(A,B,y),true,ifeq(product(A,C,x),true,ifeq(sum(C,B,X),true,
% 272.96/273.29 product(A,X,x_plus_y),true),true),true)
% 272.96/273.29 Current number of equations to process: 2594
% 272.96/273.29 Current number of ordered equations: 9514
% 272.96/273.29 Current number of rules: 152
% 272.96/273.29 New rule produced :
% 272.96/273.29 [153]
% 272.96/273.29 true <->
% 272.96/273.29 ifeq(product(additive_identity,A,B),true,ifeq(sum(B,C,X),true,ifeq(sum(A,C,Y),true,
% 272.96/273.29 product(C,Y,X),true),true),true)
% 272.96/273.29 Current number of equations to process: 2594
% 272.96/273.29 Current number of ordered equations: 9513
% 272.96/273.29 Current number of rules: 153
% 272.96/273.29 New rule produced :
% 272.96/273.29 [154]
% 272.96/273.29 true <->
% 272.96/273.29 ifeq(product(x_plus_y,A,B),true,ifeq(product(y,A,C),true,ifeq(product(x,A,X),true,
% 272.96/273.29 sum(X,C,B),true),true),true)
% 272.96/273.29 Current number of equations to process: 2594
% 272.96/273.29 Current number of ordered equations: 9512
% 272.96/273.29 Current number of rules: 154
% 272.96/273.29 New rule produced :
% 272.96/273.29 [155]
% 272.96/273.29 true <->
% 272.96/273.29 ifeq(product(Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------