TSTP Solution File: RNG006-10 by CiME---2.01
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%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : RNG006-10 : TPTP v7.3.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n184.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 14:32:34 EST 2019
% Result : Timeout 300.01s
% 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 : RNG006-10 : TPTP v7.3.0. Released v7.3.0.
% 0.00/0.04 % Command : tptp2X_and_run_cime %s
% 0.03/0.25 % Computer : n184.star.cs.uiowa.edu
% 0.03/0.25 % Model : x86_64 x86_64
% 0.03/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% 0.03/0.25 % Memory : 32218.5MB
% 0.03/0.25 % OS : Linux 3.10.0-862.11.6.el7.x86_64
% 0.03/0.25 % CPULimit : 300
% 0.03/0.25 % DateTime : Sun Feb 24 06:15:59 CST 2019
% 0.03/0.25 % CPUTime :
% 1.20/1.47 Processing problem /tmp/CiME_2533_n184.star.cs.uiowa.edu
% 1.20/1.47 #verbose 1;
% 1.20/1.47 let F = signature " aPb_S_IaPc,aPc,aPb,a,bS_Ic,c,b,true,additive_identity : constant; additive_inverse : 1; add : 2; product : 3; multiply : 2; sum : 3; ifeq : 4; ifeq2 : 4;";
% 1.20/1.47 let X = vars "A B C X Y U Z W V V3 V4 V2 V1";
% 1.20/1.47 let Axioms = equations F X "
% 1.20/1.47 ifeq2(A,A,B,C) = B;
% 1.20/1.47 ifeq(A,A,B,C) = B;
% 1.20/1.47 sum(additive_identity,X,X) = true;
% 1.20/1.47 sum(X,additive_identity,X) = true;
% 1.20/1.47 product(X,Y,multiply(X,Y)) = true;
% 1.20/1.47 sum(X,Y,add(X,Y)) = true;
% 1.20/1.47 sum(additive_inverse(X),X,additive_identity) = true;
% 1.20/1.47 sum(X,additive_inverse(X),additive_identity) = true;
% 1.20/1.47 ifeq(sum(U,Z,W),true,ifeq(sum(Y,Z,V),true,ifeq(sum(X,Y,U),true,sum(X,V,W),true),true),true) = true;
% 1.20/1.47 ifeq(sum(Y,Z,V),true,ifeq(sum(X,V,W),true,ifeq(sum(X,Y,U),true,sum(U,Z,W),true),true),true) = true;
% 1.20/1.47 ifeq(sum(X,Y,Z),true,sum(Y,X,Z),true) = true;
% 1.20/1.47 ifeq(product(U,Z,W),true,ifeq(product(Y,Z,V),true,ifeq(product(X,Y,U),true,product(X,V,W),true),true),true) = true;
% 1.20/1.47 ifeq(product(Y,Z,V),true,ifeq(product(X,V,W),true,ifeq(product(X,Y,U),true,product(U,Z,W),true),true),true) = true;
% 1.20/1.47 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;
% 1.20/1.47 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;
% 1.20/1.47 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;
% 1.20/1.47 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;
% 1.20/1.47 ifeq2(sum(X,Y,V),true,ifeq2(sum(X,Y,U),true,U,V),V) = V;
% 1.20/1.47 ifeq2(product(X,Y,V),true,ifeq2(product(X,Y,U),true,U,V),V) = V;
% 1.20/1.47 sum(b,additive_inverse(c),bS_Ic) = true;
% 1.20/1.47 product(a,b,aPb) = true;
% 1.20/1.47 product(a,c,aPc) = true;
% 1.20/1.47 sum(aPb,additive_inverse(aPc),aPb_S_IaPc) = true;
% 1.20/1.47 ";
% 1.20/1.47
% 1.20/1.47 let s1 = status F "
% 1.20/1.47 aPb_S_IaPc lr_lex;
% 1.20/1.47 aPc lr_lex;
% 1.20/1.47 aPb lr_lex;
% 1.20/1.47 a lr_lex;
% 1.20/1.47 bS_Ic lr_lex;
% 1.20/1.47 c lr_lex;
% 1.20/1.47 b lr_lex;
% 1.20/1.47 additive_inverse lr_lex;
% 1.20/1.47 add lr_lex;
% 1.20/1.47 product lr_lex;
% 1.20/1.47 multiply lr_lex;
% 1.20/1.47 true lr_lex;
% 1.20/1.47 sum lr_lex;
% 1.20/1.47 additive_identity lr_lex;
% 1.20/1.47 ifeq lr_lex;
% 1.20/1.47 ifeq2 lr_lex;
% 1.20/1.47 ";
% 1.20/1.47
% 1.20/1.47 let p1 = precedence F "
% 1.20/1.47 multiply > add > ifeq2 > ifeq > sum > product > additive_inverse > additive_identity > true > b > c > bS_Ic > a > aPb > aPc > aPb_S_IaPc";
% 1.20/1.47
% 1.20/1.47 let s2 = status F "
% 1.20/1.47 aPb_S_IaPc mul;
% 1.20/1.47 aPc mul;
% 1.20/1.47 aPb mul;
% 1.20/1.47 a mul;
% 1.20/1.47 bS_Ic mul;
% 1.20/1.47 c mul;
% 1.20/1.47 b mul;
% 1.20/1.47 additive_inverse mul;
% 1.20/1.47 add mul;
% 1.20/1.47 product mul;
% 1.20/1.47 multiply mul;
% 1.20/1.47 true mul;
% 1.20/1.47 sum mul;
% 1.20/1.47 additive_identity mul;
% 1.20/1.47 ifeq mul;
% 1.20/1.47 ifeq2 mul;
% 1.20/1.47 ";
% 1.20/1.47
% 1.20/1.47 let p2 = precedence F "
% 1.20/1.47 multiply > add > ifeq2 > ifeq > sum > product > additive_inverse > additive_identity = true = b = c = bS_Ic = a = aPb = aPc = aPb_S_IaPc";
% 1.20/1.47
% 1.20/1.47 let o_auto = AUTO Axioms;
% 1.20/1.47
% 1.20/1.47 let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 1.20/1.47
% 1.20/1.47 let Conjectures = equations F X " product(a,bS_Ic,aPb_S_IaPc) = true;"
% 1.20/1.47 ;
% 1.20/1.47 (*
% 1.20/1.47 let Red_Axioms = normalize_equations Defining_rules Axioms;
% 1.20/1.47
% 1.20/1.47 let Red_Conjectures = normalize_equations Defining_rules Conjectures;
% 1.20/1.47 *)
% 1.20/1.47 #time on;
% 1.20/1.47
% 1.20/1.47 let res = prove_conj_by_ordered_completion o Axioms Conjectures;
% 1.20/1.47
% 1.20/1.47 #time off;
% 1.20/1.47
% 1.20/1.47
% 1.20/1.47 let status = if res then "unsatisfiable" else "satisfiable";
% 1.20/1.47 #quit;
% 1.20/1.47 Verbose level is now 1
% 1.20/1.47
% 1.20/1.47 F : signature = <signature>
% 1.20/1.47 X : variable_set = <variable set>
% 1.20/1.47
% 1.20/1.47 Axioms : (F,X) equations = { ifeq2(A,A,B,C) = B,
% 1.20/1.47 ifeq(A,A,B,C) = B,
% 1.20/1.47 sum(additive_identity,X,X) = true,
% 1.20/1.47 sum(X,additive_identity,X) = true,
% 1.20/1.47 product(X,Y,multiply(X,Y)) = true,
% 1.20/1.47 sum(X,Y,add(X,Y)) = true,
% 1.20/1.47 sum(additive_inverse(X),X,additive_identity) =
% 1.20/1.47 true,
% 1.20/1.47 sum(X,additive_inverse(X),additive_identity) =
% 1.20/1.47 true,
% 1.20/1.47 ifeq(sum(U,Z,W),true,ifeq(sum(Y,Z,V),true,
% 1.20/1.47 ifeq(sum(X,Y,U),true,
% 1.20/1.47 sum(X,V,W),true),true),true)
% 1.20/1.48 = true,
% 1.20/1.48 ifeq(sum(Y,Z,V),true,ifeq(sum(X,V,W),true,
% 1.20/1.48 ifeq(sum(X,Y,U),true,
% 1.20/1.48 sum(U,Z,W),true),true),true)
% 1.20/1.48 = true,
% 1.20/1.48 ifeq(sum(X,Y,Z),true,sum(Y,X,Z),true) = true,
% 1.20/1.48 ifeq(product(U,Z,W),true,ifeq(product(Y,Z,V),true,
% 1.20/1.48 ifeq(product(X,Y,U),true,
% 1.20/1.48 product(X,V,W),true),true),true)
% 1.20/1.48 = true,
% 1.20/1.48 ifeq(product(Y,Z,V),true,ifeq(product(X,V,W),true,
% 1.20/1.48 ifeq(product(X,Y,U),true,
% 1.20/1.48 product(U,Z,W),true),true),true)
% 1.20/1.48 = true,
% 1.20/1.48 ifeq(product(X,V3,V4),true,ifeq(product(X,Z,V2),true,
% 1.20/1.48 ifeq(product(X,Y,V1),true,
% 1.20/1.48 ifeq(sum(Y,Z,V3),true,
% 1.20/1.48 sum(V1,V2,V4),true),true),true),true)
% 1.20/1.48 = true,
% 1.20/1.48 ifeq(product(X,Z,V2),true,ifeq(product(X,Y,V1),true,
% 1.20/1.48 ifeq(sum(V1,V2,V4),true,
% 1.20/1.48 ifeq(sum(Y,Z,V3),true,
% 1.20/1.48 product(X,V3,V4),true),true),true),true)
% 1.20/1.48 = true,
% 1.20/1.48 ifeq(product(V3,X,V4),true,ifeq(product(Z,X,V2),true,
% 1.20/1.48 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)
% 1.20/1.48 = true,
% 1.20/1.48 ifeq(product(Z,X,V2),true,ifeq(product(Y,X,V1),true,
% 1.20/1.48 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 ifeq2(sum(X,Y,V),true,ifeq2(sum(X,Y,U),true,U,V),V)
% 1.20/1.48 = V,
% 1.20/1.48 ifeq2(product(X,Y,V),true,ifeq2(product(X,Y,U),true,U,V),V)
% 1.20/1.48 = V,
% 1.20/1.48 sum(b,additive_inverse(c),bS_Ic) = true,
% 1.20/1.48 product(a,b,aPb) = true,
% 1.20/1.48 product(a,c,aPc) = true,
% 1.20/1.48 sum(aPb,additive_inverse(aPc),aPb_S_IaPc) = true }
% 1.20/1.48 (23 equation(s))
% 1.20/1.48 s1 : F status = <status>
% 1.20/1.48 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 = { product(a,bS_Ic,aPb_S_IaPc) = true }
% 1.20/1.48 (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(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: 22
% 1.20/1.48 Current number of rules: 1
% 1.20/1.48 New rule produced : [2] 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: 21
% 1.20/1.48 Current number of rules: 2
% 1.20/1.48 New rule produced : [3] product(a,b,aPb) -> 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: 3
% 1.20/1.48 New rule produced : [4] product(a,c,aPc) -> 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: 4
% 1.20/1.48 New rule produced : [5] sum(aPb,additive_inverse(aPc),aPb_S_IaPc) -> true
% 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: 5
% 1.20/1.48 New rule produced : [6] sum(X,additive_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: 17
% 1.20/1.48 Current number of rules: 6
% 1.20/1.48 New rule produced : [7] sum(additive_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: 16
% 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: 15
% 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: 14
% 1.20/1.48 Current number of rules: 9
% 1.20/1.48 New rule produced : [10] sum(b,additive_inverse(c),bS_Ic) -> 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: 10
% 1.20/1.48 New rule produced : [11] 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: 12
% 1.20/1.48 Current number of rules: 11
% 1.20/1.48 New rule produced : [12] 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: 11
% 1.20/1.48 Current number of rules: 12
% 1.20/1.48 New rule produced : [13] 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: 10
% 1.20/1.48 Current number of rules: 13
% 1.20/1.48 New rule produced :
% 1.20/1.48 [14] 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: 9
% 1.20/1.48 Current number of rules: 14
% 1.20/1.48 New rule produced :
% 1.20/1.48 [15] 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: 8
% 1.20/1.48 Current number of rules: 15
% 1.20/1.48 New rule produced :
% 1.20/1.48 [16]
% 1.20/1.48 ifeq(product(Y,Z,V),true,ifeq(product(X,V,W),true,ifeq(product(X,Y,U),true,
% 1.20/1.48 product(U,Z,W),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: 16
% 1.20/1.48 New rule produced :
% 1.20/1.48 [17]
% 1.20/1.48 ifeq(sum(U,Z,W),true,ifeq(sum(Y,Z,V),true,ifeq(sum(X,Y,U),true,sum(X,V,W),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: 6
% 1.20/1.48 Current number of rules: 17
% 1.20/1.48 New rule produced :
% 1.20/1.48 [18]
% 1.20/1.48 ifeq(product(U,Z,W),true,ifeq(product(Y,Z,V),true,ifeq(product(X,Y,U),true,
% 1.20/1.48 product(X,V,W),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: 5
% 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(sum(Y,Z,V),true,ifeq(sum(X,V,W),true,ifeq(sum(X,Y,U),true,sum(U,Z,W),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: 4
% 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)
% 1.20/1.48 -> true
% 1.20/1.48 Current number of equations to process: 0
% 1.20/1.48 Current number of ordered equations: 3
% 1.20/1.48 Current number of rules: 20
% 1.20/1.48 New rule produced :
% 1.20/1.48 [21]
% 1.20/1.48 ifeq(product(X,V3,V4),true,ifeq(product(X,Z,V2),true,ifeq(product(X,Y,V1),true,
% 1.20/1.48 ifeq(sum(Y,Z,V3),true,
% 1.20/1.48 sum(V1,V2,V4),true),true),true),true)
% 1.20/1.48 -> true
% 1.20/1.48 Current number of equations to process: 0
% 1.20/1.48 Current number of ordered equations: 2
% 1.20/1.48 Current number of rules: 21
% 1.20/1.48 New rule produced :
% 1.20/1.48 [22]
% 1.20/1.48 ifeq(product(X,Z,V2),true,ifeq(product(X,Y,V1),true,ifeq(sum(V1,V2,V4),true,
% 1.20/1.48 ifeq(sum(Y,Z,V3),true,
% 1.20/1.48 product(X,V3,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: 1
% 1.20/1.48 Current number of rules: 22
% 1.20/1.48 New rule produced :
% 1.20/1.49 [23]
% 1.20/1.49 ifeq(product(Z,X,V2),true,ifeq(product(Y,X,V1),true,ifeq(sum(V1,V2,V4),true,
% 1.20/1.49 ifeq(sum(Y,Z,V3),true,
% 1.20/1.49 product(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: 0
% 1.20/1.49 Current number of rules: 23
% 1.20/1.49 New rule produced : [24] sum(additive_inverse(aPc),aPb,aPb_S_IaPc) -> 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: 24
% 1.20/1.49 New rule produced : [25] sum(additive_inverse(c),b,bS_Ic) -> 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: 25
% 1.20/1.49 New rule produced : [26] sum(A,B,add(B,A)) -> true
% 1.20/1.49 Current number of equations to process: 3
% 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] ifeq2(sum(additive_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: 27
% 1.20/1.49 New rule produced : [28] ifeq2(sum(additive_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: 28
% 1.20/1.49 New rule produced : [29] ifeq2(sum(A,additive_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: 29
% 1.20/1.49 New rule produced : [30] ifeq2(sum(A,additive_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: 30
% 1.20/1.49 New rule produced :
% 1.20/1.49 [31] ifeq2(sum(aPb,additive_inverse(aPc),A),true,aPb_S_IaPc,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(sum(aPb,additive_inverse(aPc),A),true,A,aPb_S_IaPc) -> aPb_S_IaPc
% 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]
% 1.20/1.49 ifeq2(sum(A,additive_inverse(A),B),true,B,additive_identity) ->
% 1.20/1.49 additive_identity
% 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(sum(A,additive_inverse(A),B),true,additive_identity,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(sum(additive_inverse(A),A,B),true,B,additive_identity) ->
% 1.20/1.49 additive_identity
% 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: 35
% 1.20/1.49 New rule produced :
% 1.20/1.49 [36] ifeq2(sum(additive_inverse(A),A,B),true,additive_identity,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: 36
% 1.20/1.49 New rule produced :
% 1.20/1.49 [37] ifeq2(sum(b,additive_inverse(c),A),true,A,bS_Ic) -> bS_Ic
% 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: 37
% 1.20/1.49 New rule produced :
% 1.20/1.49 [38] ifeq2(sum(b,additive_inverse(c),A),true,bS_Ic,A) -> A
% 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: 38
% 1.20/1.49 New rule produced : [39] ifeq2(sum(A,B,C),true,add(A,B),C) -> C
% 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: 39
% 1.20/1.49 New rule produced : [40] ifeq2(sum(A,B,C),true,C,add(A,B)) -> add(A,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: 40
% 1.20/1.49 New rule produced : [41] ifeq2(product(a,b,A),true,A,aPb) -> aPb
% 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: 41
% 1.20/1.49 New rule produced : [42] ifeq2(product(a,b,A),true,aPb,A) -> A
% 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: 42
% 1.20/1.49 New rule produced : [43] ifeq2(product(a,c,A),true,A,aPc) -> aPc
% 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: 43
% 1.20/1.51 New rule produced : [44] ifeq2(product(a,c,A),true,aPc,A) -> A
% 1.20/1.51 Current number of equations to process: 0
% 1.20/1.51 Current number of ordered equations: 0
% 1.20/1.51 Current number of rules: 44
% 1.20/1.51 New rule produced : [45] ifeq2(product(A,B,C),true,multiply(A,B),C) -> C
% 1.20/1.51 Current number of equations to process: 1
% 1.20/1.51 Current number of ordered equations: 0
% 1.20/1.51 Current number of rules: 45
% 1.20/1.51 New rule produced :
% 1.20/1.51 [46] ifeq2(product(A,B,C),true,C,multiply(A,B)) -> multiply(A,B)
% 1.20/1.51 Current number of equations to process: 0
% 1.20/1.51 Current number of ordered equations: 0
% 1.20/1.51 Current number of rules: 46
% 1.20/1.51 New rule produced :
% 1.20/1.51 [47]
% 1.20/1.51 ifeq(product(A,B,b),true,ifeq(product(a,A,C),true,product(C,B,aPb),true),true)
% 1.20/1.51 -> true
% 1.20/1.51 Current number of equations to process: 9
% 1.20/1.51 Current number of ordered equations: 2
% 1.20/1.51 Current number of rules: 47
% 1.20/1.51 New rule produced :
% 1.20/1.51 [48]
% 1.20/1.51 ifeq(product(b,A,B),true,ifeq(product(a,B,C),true,product(aPb,A,C),true),true)
% 1.20/1.51 -> true
% 1.20/1.51 Current number of equations to process: 9
% 1.20/1.51 Current number of ordered equations: 1
% 1.20/1.51 Current number of rules: 48
% 1.20/1.51 New rule produced :
% 1.20/1.51 [49]
% 1.20/1.51 ifeq(product(A,aPb,B),true,ifeq(product(A,a,C),true,product(C,b,B),true),true)
% 1.20/1.51 -> true
% 1.20/1.51 Current number of equations to process: 9
% 1.20/1.51 Current number of ordered equations: 0
% 1.20/1.51 Current number of rules: 49
% 1.20/1.51 New rule produced :
% 1.20/1.51 [50]
% 1.20/1.51 ifeq(product(A,aPc,B),true,ifeq(product(A,a,C),true,product(C,c,B),true),true)
% 1.20/1.51 -> true
% 1.20/1.51 Current number of equations to process: 6
% 1.20/1.51 Current number of ordered equations: 2
% 1.20/1.51 Current number of rules: 50
% 1.20/1.51 New rule produced :
% 1.20/1.51 [51]
% 1.20/1.51 ifeq(product(c,A,B),true,ifeq(product(a,B,C),true,product(aPc,A,C),true),true)
% 1.20/1.51 -> true
% 1.20/1.51 Current number of equations to process: 6
% 1.20/1.51 Current number of ordered equations: 1
% 1.20/1.51 Current number of rules: 51
% 1.20/1.51 New rule produced :
% 1.20/1.51 [52]
% 1.20/1.51 ifeq(product(A,B,c),true,ifeq(product(a,A,C),true,product(C,B,aPc),true),true)
% 1.20/1.51 -> true
% 1.20/1.51 Current number of equations to process: 6
% 1.20/1.51 Current number of ordered equations: 0
% 1.20/1.51 Current number of rules: 52
% 1.20/1.51 New rule produced :
% 1.20/1.51 [53]
% 1.20/1.51 ifeq(product(A,B,C),true,ifeq(product(X,A,Y),true,product(Y,B,multiply(X,C)),true),true)
% 1.20/1.51 -> true
% 1.20/1.51 Current number of equations to process: 3
% 1.20/1.51 Current number of ordered equations: 2
% 1.20/1.51 Current number of rules: 53
% 1.20/1.51 New rule produced :
% 1.20/1.51 [54]
% 1.20/1.51 ifeq(product(A,B,C),true,ifeq(product(X,C,Y),true,product(multiply(X,A),B,Y),true),true)
% 1.20/1.51 -> true
% 1.20/1.51 Current number of equations to process: 3
% 1.20/1.51 Current number of ordered equations: 1
% 1.20/1.51 Current number of rules: 54
% 1.20/1.51 New rule produced :
% 1.20/1.51 [55]
% 1.20/1.51 ifeq(product(A,multiply(B,C),X),true,ifeq(product(A,B,Y),true,product(Y,C,X),true),true)
% 1.20/1.51 -> true
% 1.20/1.51 Current number of equations to process: 3
% 1.20/1.51 Current number of ordered equations: 0
% 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,B),true,ifeq(product(C,B,aPb),true,ifeq(product(C,A,a),true,true,true),true),true)
% 1.20/1.51 -> true
% 1.20/1.51 Current number of equations to process: 2
% 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,c,B),true,ifeq(product(C,B,aPc),true,ifeq(product(C,A,a),true,true,true),true),true)
% 1.20/1.51 -> true
% 1.20/1.51 Current number of equations to process: 1
% 1.20/1.51 Current number of ordered equations: 0
% 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(X,C,multiply(Y,B)),true,ifeq(product(X,A,Y),true,true,true),true),true)
% 1.20/1.51 -> true
% 1.20/1.51 Current number of equations to process: 0
% 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] ifeq(sum(A,B,A),true,ifeq(sum(C,B,C),true,true,true),true) -> 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: 59
% 1.20/1.51 New rule produced :
% 1.20/1.51 [60]
% 1.20/1.51 ifeq(sum(A,B,C),true,ifeq(sum(X,A,additive_identity),true,sum(X,C,B),true),true)
% 1.20/1.51 -> true
% 1.20/1.51 Current number of equations to process: 25
% 1.20/1.51 Current number of ordered equations: 2
% 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(sum(A,B,C),true,ifeq(sum(X,additive_identity,A),true,sum(X,B,C),true),true)
% 1.20/1.51 -> true
% 1.20/1.51 Current number of equations to process: 25
% 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(sum(A,B,C),true,ifeq(sum(A,B,X),true,sum(additive_identity,X,C),true),true)
% 1.20/1.51 -> true
% 1.20/1.51 Current number of equations to process: 25
% 1.22/1.53 Current number of ordered equations: 0
% 1.22/1.53 Current number of rules: 62
% 1.22/1.53 New rule produced :
% 1.22/1.53 [63]
% 1.22/1.53 ifeq(sum(A,B,C),true,ifeq(sum(additive_identity,B,X),true,sum(A,X,C),true),true)
% 1.22/1.53 -> true
% 1.22/1.53 Current number of equations to process: 22
% 1.22/1.53 Current number of ordered equations: 2
% 1.22/1.53 Current number of rules: 63
% 1.22/1.53 New rule produced :
% 1.22/1.53 [64]
% 1.22/1.53 ifeq(sum(A,additive_identity,B),true,ifeq(sum(C,A,X),true,sum(C,B,X),true),true)
% 1.22/1.53 -> true
% 1.22/1.53 Current number of equations to process: 22
% 1.22/1.53 Current number of ordered equations: 1
% 1.22/1.53 Current number of rules: 64
% 1.22/1.53 New rule produced :
% 1.22/1.53 [65]
% 1.22/1.53 ifeq(sum(A,additive_identity,B),true,ifeq(sum(C,X,A),true,sum(C,X,B),true),true)
% 1.22/1.53 -> true
% 1.22/1.53 Current number of equations to process: 22
% 1.22/1.53 Current number of ordered equations: 0
% 1.22/1.53 Current number of rules: 65
% 1.22/1.53 New rule produced :
% 1.22/1.53 [66]
% 1.22/1.53 ifeq(sum(aPb_S_IaPc,A,B),true,ifeq(sum(additive_inverse(aPc),A,C),true,
% 1.22/1.53 sum(aPb,C,B),true),true) -> true
% 1.22/1.53 Current number of equations to process: 19
% 1.22/1.53 Current number of ordered equations: 2
% 1.22/1.53 Current number of rules: 66
% 1.22/1.53 New rule produced :
% 1.22/1.53 [67]
% 1.22/1.53 ifeq(sum(A,additive_inverse(aPc),B),true,ifeq(sum(C,A,aPb),true,sum(C,B,aPb_S_IaPc),true),true)
% 1.22/1.53 -> true
% 1.22/1.53 Current number of equations to process: 19
% 1.22/1.53 Current number of ordered equations: 1
% 1.22/1.53 Current number of rules: 67
% 1.22/1.53 New rule produced :
% 1.22/1.53 [68]
% 1.22/1.53 ifeq(sum(A,additive_inverse(aPc),B),true,ifeq(sum(C,aPb,A),true,sum(C,aPb_S_IaPc,B),true),true)
% 1.22/1.53 -> true
% 1.22/1.53 Current number of equations to process: 19
% 1.22/1.53 Current number of ordered equations: 0
% 1.22/1.53 Current number of rules: 68
% 1.22/1.53 New rule produced :
% 1.22/1.53 [69]
% 1.22/1.53 ifeq(sum(additive_identity,A,B),true,ifeq(sum(additive_inverse(C),A,X),true,
% 1.22/1.53 sum(C,X,B),true),true) -> true
% 1.22/1.53 Current number of equations to process: 16
% 1.22/1.53 Current number of ordered equations: 2
% 1.22/1.53 Current number of rules: 69
% 1.22/1.53 New rule produced :
% 1.22/1.53 [70]
% 1.22/1.53 ifeq(sum(A,additive_inverse(B),C),true,ifeq(sum(X,A,B),true,sum(X,C,additive_identity),true),true)
% 1.22/1.53 -> true
% 1.22/1.53 Current number of equations to process: 16
% 1.22/1.53 Current number of ordered equations: 1
% 1.22/1.53 Current number of rules: 70
% 1.22/1.53 New rule produced :
% 1.22/1.53 [71]
% 1.22/1.53 ifeq(sum(A,additive_inverse(B),C),true,ifeq(sum(X,B,A),true,sum(X,additive_identity,C),true),true)
% 1.22/1.53 -> true
% 1.22/1.53 Current number of equations to process: 16
% 1.22/1.53 Current number of ordered equations: 0
% 1.22/1.53 Current number of rules: 71
% 1.22/1.53 New rule produced :
% 1.22/1.53 [72]
% 1.22/1.53 ifeq(sum(A,B,C),true,ifeq(sum(X,A,additive_inverse(B)),true,sum(X,C,additive_identity),true),true)
% 1.22/1.53 -> true
% 1.22/1.53 Current number of equations to process: 13
% 1.22/1.53 Current number of ordered equations: 2
% 1.22/1.53 Current number of rules: 72
% 1.22/1.53 New rule produced :
% 1.22/1.53 [73]
% 1.22/1.53 ifeq(sum(A,B,C),true,ifeq(sum(X,additive_inverse(B),A),true,sum(X,additive_identity,C),true),true)
% 1.22/1.53 -> true
% 1.22/1.53 Current number of equations to process: 13
% 1.22/1.53 Current number of ordered equations: 1
% 1.22/1.53 Current number of rules: 73
% 1.22/1.53 New rule produced :
% 1.22/1.53 [74]
% 1.22/1.53 ifeq(sum(additive_identity,A,B),true,ifeq(sum(C,A,X),true,sum(additive_inverse(C),X,B),true),true)
% 1.22/1.53 -> true
% 1.22/1.53 Current number of equations to process: 13
% 1.22/1.53 Current number of ordered equations: 0
% 1.22/1.53 Current number of rules: 74
% 1.22/1.53 New rule produced :
% 1.22/1.53 [75]
% 1.22/1.53 ifeq(sum(bS_Ic,A,B),true,ifeq(sum(additive_inverse(c),A,C),true,sum(b,C,B),true),true)
% 1.22/1.53 -> true
% 1.22/1.53 Current number of equations to process: 10
% 1.22/1.53 Current number of ordered equations: 2
% 1.22/1.53 Current number of rules: 75
% 1.22/1.53 New rule produced :
% 1.22/1.53 [76]
% 1.22/1.53 ifeq(sum(A,additive_inverse(c),B),true,ifeq(sum(C,A,b),true,sum(C,B,bS_Ic),true),true)
% 1.22/1.53 -> true
% 1.22/1.53 Current number of equations to process: 10
% 1.22/1.53 Current number of ordered equations: 1
% 1.22/1.53 Current number of rules: 76
% 1.22/1.53 New rule produced :
% 1.22/1.53 [77]
% 1.22/1.53 ifeq(sum(A,additive_inverse(c),B),true,ifeq(sum(C,b,A),true,sum(C,bS_Ic,B),true),true)
% 1.22/1.53 -> true
% 1.22/1.53 Current number of equations to process: 10
% 1.22/1.53 Current number of ordered equations: 0
% 1.22/1.53 Current number of rules: 77
% 1.22/1.53 New rule produced :
% 1.22/1.53 [78]
% 1.22/1.53 ifeq(sum(A,B,C),true,ifeq(sum(X,A,Y),true,sum(X,C,add(Y,B)),true),true) ->
% 1.22/1.53 true
% 1.22/1.53 Current number of equations to process: 7
% 1.22/1.53 Current number of ordered equations: 2
% 1.22/1.53 Current number of rules: 78
% 1.22/1.53 New rule produced :
% 1.22/1.53 [79]
% 1.22/1.53 ifeq(sum(A,B,C),true,ifeq(sum(X,Y,A),true,sum(X,add(Y,B),C),true),true) ->
% 1.22/1.53 true
% 1.22/1.53 Current number of equations to process: 7
% 1.22/1.53 Current number of ordered equations: 1
% 1.22/1.55 Current number of rules: 79
% 1.22/1.55 New rule produced :
% 1.22/1.55 [80]
% 1.22/1.55 ifeq(sum(add(A,B),C,X),true,ifeq(sum(B,C,Y),true,sum(A,Y,X),true),true) ->
% 1.22/1.55 true
% 1.22/1.55 Current number of equations to process: 7
% 1.22/1.55 Current number of ordered equations: 0
% 1.22/1.55 Current number of rules: 80
% 1.22/1.55 New rule produced :
% 1.22/1.55 [81]
% 1.22/1.55 ifeq(sum(A,B,C),true,ifeq(sum(X,B,C),true,ifeq(sum(additive_identity,X,A),true,true,true),true),true)
% 1.22/1.55 -> true
% 1.22/1.55 Current number of equations to process: 6
% 1.22/1.55 Current number of ordered equations: 0
% 1.22/1.55 Current number of rules: 81
% 1.22/1.55 New rule produced :
% 1.22/1.55 [82]
% 1.22/1.55 ifeq(sum(A,B,C),true,ifeq(sum(X,B,additive_identity),true,ifeq(sum(C,X,A),true,true,true),true),true)
% 1.22/1.55 -> true
% 1.22/1.55 Current number of equations to process: 5
% 1.22/1.55 Current number of ordered equations: 0
% 1.22/1.55 Current number of rules: 82
% 1.22/1.55 New rule produced :
% 1.22/1.55 [83]
% 1.22/1.55 ifeq(sum(A,B,aPb_S_IaPc),true,ifeq(sum(C,B,additive_inverse(aPc)),true,
% 1.22/1.55 ifeq(sum(aPb,C,A),true,true,true),true),true)
% 1.22/1.55 -> true
% 1.22/1.55 Current number of equations to process: 4
% 1.22/1.55 Current number of ordered equations: 0
% 1.22/1.55 Current number of rules: 83
% 1.22/1.55 New rule produced :
% 1.22/1.55 [84]
% 1.22/1.55 ifeq(sum(A,B,additive_identity),true,ifeq(sum(C,B,additive_inverse(X)),true,
% 1.22/1.55 ifeq(sum(X,C,A),true,true,true),true),true)
% 1.22/1.55 -> true
% 1.22/1.55 Current number of equations to process: 3
% 1.22/1.55 Current number of ordered equations: 0
% 1.22/1.55 Current number of rules: 84
% 1.22/1.55 New rule produced :
% 1.22/1.55 [85]
% 1.22/1.55 ifeq(sum(A,B,additive_identity),true,ifeq(sum(C,B,X),true,ifeq(sum(additive_inverse(X),C,A),true,true,true),true),true)
% 1.22/1.55 -> true
% 1.22/1.55 Current number of equations to process: 2
% 1.22/1.55 Current number of ordered equations: 0
% 1.22/1.55 Current number of rules: 85
% 1.22/1.55 New rule produced :
% 1.22/1.55 [86]
% 1.22/1.55 ifeq(sum(A,B,bS_Ic),true,ifeq(sum(C,B,additive_inverse(c)),true,ifeq(
% 1.22/1.55 sum(b,C,A),true,true,true),true),true)
% 1.22/1.55 -> true
% 1.22/1.55 Current number of equations to process: 1
% 1.22/1.55 Current number of ordered equations: 0
% 1.22/1.55 Current number of rules: 86
% 1.22/1.55 New rule produced :
% 1.22/1.55 [87]
% 1.22/1.55 ifeq(sum(A,B,add(C,X)),true,ifeq(sum(Y,B,X),true,ifeq(sum(C,Y,A),true,true,true),true),true)
% 1.22/1.55 -> true
% 1.22/1.55 Current number of equations to process: 0
% 1.22/1.55 Current number of ordered equations: 0
% 1.22/1.55 Current number of rules: 87
% 1.22/1.55 New rule produced :
% 1.22/1.55 [88]
% 1.22/1.55 ifeq(product(A,b,B),true,ifeq(product(C,A,a),true,product(C,B,aPb),true),true)
% 1.22/1.55 -> true
% 1.22/1.55 Current number of equations to process: 9
% 1.22/1.55 Current number of ordered equations: 2
% 1.22/1.55 Current number of rules: 88
% 1.22/1.55 New rule produced :
% 1.22/1.55 [89]
% 1.22/1.55 ifeq(product(A,b,B),true,ifeq(product(C,a,A),true,product(C,aPb,B),true),true)
% 1.22/1.55 -> true
% 1.22/1.55 Current number of equations to process: 9
% 1.22/1.55 Current number of ordered equations: 1
% 1.22/1.55 Current number of rules: 89
% 1.22/1.55 New rule produced :
% 1.22/1.55 [90]
% 1.22/1.55 ifeq(product(aPb,A,B),true,ifeq(product(b,A,C),true,product(a,C,B),true),true)
% 1.22/1.55 -> true
% 1.22/1.55 Current number of equations to process: 9
% 1.22/1.55 Current number of ordered equations: 0
% 1.22/1.55 Current number of rules: 90
% 1.22/1.55 New rule produced :
% 1.22/1.55 [91]
% 1.22/1.55 ifeq(product(A,c,B),true,ifeq(product(C,A,a),true,product(C,B,aPc),true),true)
% 1.22/1.55 -> true
% 1.22/1.55 Current number of equations to process: 6
% 1.22/1.55 Current number of ordered equations: 2
% 1.22/1.55 Current number of rules: 91
% 1.22/1.55 New rule produced :
% 1.22/1.55 [92]
% 1.22/1.55 ifeq(product(A,c,B),true,ifeq(product(C,a,A),true,product(C,aPc,B),true),true)
% 1.22/1.55 -> true
% 1.22/1.55 Current number of equations to process: 6
% 1.22/1.55 Current number of ordered equations: 1
% 1.22/1.55 Current number of rules: 92
% 1.22/1.55 New rule produced :
% 1.22/1.55 [93]
% 1.22/1.55 ifeq(product(aPc,A,B),true,ifeq(product(c,A,C),true,product(a,C,B),true),true)
% 1.22/1.55 -> true
% 1.22/1.55 Current number of equations to process: 6
% 1.22/1.55 Current number of ordered equations: 0
% 1.22/1.55 Current number of rules: 93
% 1.22/1.55 New rule produced :
% 1.22/1.55 [94]
% 1.22/1.55 ifeq(product(A,B,C),true,ifeq(product(X,A,Y),true,product(X,C,multiply(Y,B)),true),true)
% 1.22/1.55 -> true
% 1.22/1.55 Current number of equations to process: 3
% 1.22/1.55 Current number of ordered equations: 2
% 1.22/1.55 Current number of rules: 94
% 1.22/1.55 New rule produced :
% 1.22/1.55 [95]
% 1.22/1.55 ifeq(product(A,B,C),true,ifeq(product(X,Y,A),true,product(X,multiply(Y,B),C),true),true)
% 1.22/1.55 -> true
% 1.22/1.55 Current number of equations to process: 3
% 1.22/1.55 Current number of ordered equations: 1
% 1.22/1.55 Current number of rules: 95
% 1.22/1.55 New rule produced :
% 1.22/1.55 [96]
% 1.22/1.55 ifeq(product(multiply(A,B),C,X),true,ifeq(product(B,C,Y),true,product(A,Y,X),true),true)
% 1.22/1.55 -> true
% 1.22/1.55 Current number of equations to process: 3
% 1.22/1.55 Current number of ordered equations: 0
% 1.22/1.58 Current number of rules: 96
% 1.22/1.58 New rule produced :
% 1.22/1.58 [97]
% 1.22/1.58 ifeq(product(A,B,aPb),true,ifeq(product(C,B,b),true,ifeq(product(a,C,A),true,true,true),true),true)
% 1.22/1.58 -> true
% 1.22/1.58 Current number of equations to process: 2
% 1.22/1.58 Current number of ordered equations: 0
% 1.22/1.58 Current number of rules: 97
% 1.22/1.58 New rule produced :
% 1.22/1.58 [98]
% 1.22/1.58 ifeq(product(A,B,aPc),true,ifeq(product(C,B,c),true,ifeq(product(a,C,A),true,true,true),true),true)
% 1.22/1.58 -> true
% 1.22/1.58 Current number of equations to process: 1
% 1.22/1.58 Current number of ordered equations: 0
% 1.22/1.58 Current number of rules: 98
% 1.22/1.58 New rule produced :
% 1.22/1.58 [99]
% 1.22/1.58 ifeq(product(A,B,multiply(C,X)),true,ifeq(product(Y,B,X),true,ifeq(product(C,Y,A),true,true,true),true),true)
% 1.22/1.58 -> true
% 1.22/1.58 Current number of equations to process: 0
% 1.22/1.58 Current number of ordered equations: 0
% 1.22/1.58 Current number of rules: 99
% 1.22/1.58 New rule produced :
% 1.22/1.58 [100] ifeq(sum(A,B,C),true,ifeq(sum(B,C,A),true,true,true),true) -> true
% 1.22/1.58 Current number of equations to process: 28
% 1.22/1.58 Current number of ordered equations: 0
% 1.22/1.58 Current number of rules: 100
% 1.22/1.58 New rule produced :
% 1.22/1.58 [101]
% 1.22/1.58 ifeq(sum(A,B,C),true,ifeq(sum(A,additive_identity,X),true,sum(X,B,C),true),true)
% 1.22/1.58 -> true
% 1.22/1.58 Current number of equations to process: 25
% 1.22/1.58 Current number of ordered equations: 2
% 1.22/1.58 Current number of rules: 101
% 1.22/1.58 New rule produced :
% 1.22/1.58 [102]
% 1.22/1.58 ifeq(sum(A,B,C),true,ifeq(sum(additive_identity,A,X),true,sum(X,B,C),true),true)
% 1.22/1.58 -> true
% 1.22/1.58 Current number of equations to process: 25
% 1.22/1.58 Current number of ordered equations: 1
% 1.22/1.58 Current number of rules: 102
% 1.22/1.58 New rule produced :
% 1.22/1.58 [103]
% 1.22/1.58 ifeq(sum(A,B,C),true,ifeq(sum(additive_identity,C,X),true,sum(A,B,X),true),true)
% 1.22/1.58 -> true
% 1.22/1.58 Current number of equations to process: 25
% 1.22/1.58 Current number of ordered equations: 0
% 1.22/1.58 Current number of rules: 103
% 1.22/1.58 New rule produced :
% 1.22/1.58 [104]
% 1.22/1.58 ifeq(sum(A,B,C),true,ifeq(sum(A,B,X),true,sum(X,additive_identity,C),true),true)
% 1.22/1.58 -> true
% 1.22/1.58 Current number of equations to process: 22
% 1.22/1.58 Current number of ordered equations: 2
% 1.22/1.58 Current number of rules: 104
% 1.22/1.58 New rule produced :
% 1.22/1.58 [105]
% 1.22/1.58 ifeq(sum(A,B,additive_identity),true,ifeq(sum(C,A,X),true,sum(X,B,C),true),true)
% 1.22/1.58 -> true
% 1.22/1.58 Current number of equations to process: 22
% 1.22/1.58 Current number of ordered equations: 1
% 1.22/1.58 Current number of rules: 105
% 1.22/1.58 New rule produced :
% 1.22/1.58 [106]
% 1.22/1.58 ifeq(sum(additive_identity,A,B),true,ifeq(sum(C,B,X),true,sum(C,A,X),true),true)
% 1.22/1.58 -> true
% 1.22/1.58 Current number of equations to process: 22
% 1.22/1.58 Current number of ordered equations: 0
% 1.22/1.58 Current number of rules: 106
% 1.22/1.58 New rule produced :
% 1.22/1.58 [107]
% 1.22/1.58 ifeq(sum(additive_inverse(aPc),A,B),true,ifeq(sum(aPb,B,C),true,sum(aPb_S_IaPc,A,C),true),true)
% 1.22/1.58 -> true
% 1.22/1.58 Current number of equations to process: 19
% 1.22/1.58 Current number of ordered equations: 2
% 1.22/1.58 Current number of rules: 107
% 1.22/1.58 New rule produced :
% 1.22/1.58 [108]
% 1.22/1.58 ifeq(sum(A,aPb_S_IaPc,B),true,ifeq(sum(A,aPb,C),true,sum(C,additive_inverse(aPc),B),true),true)
% 1.22/1.58 -> true
% 1.22/1.58 Current number of equations to process: 19
% 1.22/1.58 Current number of ordered equations: 1
% 1.22/1.58 Current number of rules: 108
% 1.22/1.58 New rule produced :
% 1.22/1.58 [109]
% 1.22/1.58 ifeq(sum(A,B,additive_inverse(aPc)),true,ifeq(sum(aPb,A,C),true,sum(C,B,aPb_S_IaPc),true),true)
% 1.22/1.58 -> true
% 1.22/1.58 Current number of equations to process: 19
% 1.22/1.58 Current number of ordered equations: 0
% 1.22/1.58 Current number of rules: 109
% 1.22/1.58 New rule produced :
% 1.22/1.58 [110]
% 1.22/1.58 ifeq(sum(additive_inverse(A),B,C),true,ifeq(sum(A,C,X),true,sum(additive_identity,B,X),true),true)
% 1.22/1.58 -> true
% 1.22/1.58 Current number of equations to process: 16
% 1.22/1.58 Current number of ordered equations: 2
% 1.22/1.58 Current number of rules: 110
% 1.22/1.58 New rule produced :
% 1.22/1.58 [111]
% 1.22/1.58 ifeq(sum(A,B,additive_inverse(C)),true,ifeq(sum(C,A,X),true,sum(X,B,additive_identity),true),true)
% 1.22/1.58 -> true
% 1.22/1.58 Current number of equations to process: 16
% 1.22/1.58 Current number of ordered equations: 1
% 1.22/1.58 Current number of rules: 111
% 1.22/1.58 New rule produced :
% 1.22/1.58 [112]
% 1.22/1.58 ifeq(sum(A,additive_identity,B),true,ifeq(sum(A,C,X),true,sum(X,additive_inverse(C),B),true),true)
% 1.22/1.58 -> true
% 1.22/1.58 Current number of equations to process: 16
% 1.22/1.58 Current number of ordered equations: 0
% 1.22/1.58 Current number of rules: 112
% 1.22/1.58 New rule produced :
% 1.22/1.58 [113]
% 1.22/1.58 ifeq(sum(A,B,C),true,ifeq(sum(additive_inverse(C),A,X),true,sum(X,B,additive_identity),true),true)
% 1.22/1.58 -> true
% 1.22/1.58 Current number of equations to process: 13
% 1.22/1.58 Current number of ordered equations: 2
% 1.22/1.58 Current number of rules: 113
% 1.22/1.58 New rule produced :
% 1.22/1.58 [114]
% 1.22/1.58 ifeq(sum(A,B,C),true,ifeq(sum(additive_inverse(A),C,X),true,sum(additive_identity,B,X),true),true)
% 1.22/1.62 -> true
% 1.22/1.62 Current number of equations to process: 13
% 1.22/1.62 Current number of ordered equations: 1
% 1.22/1.62 Current number of rules: 114
% 1.22/1.62 New rule produced :
% 1.22/1.62 [115]
% 1.22/1.62 ifeq(sum(A,additive_identity,B),true,ifeq(sum(A,additive_inverse(C),X),true,
% 1.22/1.62 sum(X,C,B),true),true) -> true
% 1.22/1.62 Current number of equations to process: 13
% 1.22/1.62 Current number of ordered equations: 0
% 1.22/1.62 Current number of rules: 115
% 1.22/1.62 New rule produced :
% 1.22/1.62 [116]
% 1.22/1.62 ifeq(sum(additive_inverse(c),A,B),true,ifeq(sum(b,B,C),true,sum(bS_Ic,A,C),true),true)
% 1.22/1.62 -> true
% 1.22/1.62 Current number of equations to process: 10
% 1.22/1.62 Current number of ordered equations: 2
% 1.22/1.62 Current number of rules: 116
% 1.22/1.62 New rule produced :
% 1.22/1.62 [117]
% 1.22/1.62 ifeq(sum(A,bS_Ic,B),true,ifeq(sum(A,b,C),true,sum(C,additive_inverse(c),B),true),true)
% 1.22/1.62 -> true
% 1.22/1.62 Current number of equations to process: 10
% 1.22/1.62 Current number of ordered equations: 1
% 1.22/1.62 Current number of rules: 117
% 1.22/1.62 New rule produced :
% 1.22/1.62 [118]
% 1.22/1.62 ifeq(sum(A,B,additive_inverse(c)),true,ifeq(sum(b,A,C),true,sum(C,B,bS_Ic),true),true)
% 1.22/1.62 -> true
% 1.22/1.62 Current number of equations to process: 10
% 1.22/1.62 Current number of ordered equations: 0
% 1.22/1.62 Current number of rules: 118
% 1.22/1.62 New rule produced :
% 1.22/1.62 [119]
% 1.22/1.62 ifeq(sum(A,add(B,C),X),true,ifeq(sum(A,B,Y),true,sum(Y,C,X),true),true) ->
% 1.22/1.62 true
% 1.22/1.62 Current number of equations to process: 7
% 1.22/1.62 Current number of ordered equations: 2
% 1.22/1.62 Current number of rules: 119
% 1.22/1.62 New rule produced :
% 1.22/1.62 [120]
% 1.22/1.62 ifeq(sum(A,B,C),true,ifeq(sum(X,A,Y),true,sum(Y,B,add(X,C)),true),true) ->
% 1.22/1.62 true
% 1.22/1.62 Current number of equations to process: 7
% 1.22/1.62 Current number of ordered equations: 1
% 1.22/1.62 Current number of rules: 120
% 1.22/1.62 New rule produced :
% 1.22/1.62 [121]
% 1.22/1.62 ifeq(sum(A,B,C),true,ifeq(sum(X,C,Y),true,sum(add(X,A),B,Y),true),true) ->
% 1.22/1.62 true
% 1.22/1.62 Current number of equations to process: 7
% 1.22/1.62 Current number of ordered equations: 0
% 1.22/1.62 Current number of rules: 121
% 1.22/1.62 New rule produced :
% 1.22/1.62 [122]
% 1.22/1.62 ifeq(sum(A,B,C),true,ifeq(sum(X,C,B),true,ifeq(sum(X,A,additive_identity),true,true,true),true),true)
% 1.22/1.62 -> true
% 1.22/1.62 Current number of equations to process: 6
% 1.22/1.62 Current number of ordered equations: 0
% 1.22/1.62 Current number of rules: 122
% 1.22/1.62 New rule produced :
% 1.22/1.62 [123]
% 1.22/1.62 ifeq(sum(A,additive_identity,B),true,ifeq(sum(C,B,X),true,ifeq(sum(C,A,X),true,true,true),true),true)
% 1.22/1.62 -> true
% 1.22/1.62 Current number of equations to process: 5
% 1.22/1.62 Current number of ordered equations: 0
% 1.22/1.62 Current number of rules: 123
% 1.22/1.62 New rule produced :
% 1.22/1.62 [124]
% 1.22/1.62 ifeq(sum(A,additive_inverse(aPc),B),true,ifeq(sum(C,B,aPb_S_IaPc),true,
% 1.22/1.62 ifeq(sum(C,A,aPb),true,true,true),true),true)
% 1.22/1.62 -> true
% 1.22/1.62 Current number of equations to process: 4
% 1.22/1.62 Current number of ordered equations: 0
% 1.22/1.62 Current number of rules: 124
% 1.22/1.62 New rule produced :
% 1.22/1.62 [125]
% 1.22/1.62 ifeq(sum(A,additive_inverse(B),C),true,ifeq(sum(X,C,additive_identity),true,
% 1.22/1.62 ifeq(sum(X,A,B),true,true,true),true),true)
% 1.22/1.62 -> true
% 1.22/1.62 Current number of equations to process: 3
% 1.22/1.62 Current number of ordered equations: 0
% 1.22/1.62 Current number of rules: 125
% 1.22/1.62 New rule produced :
% 1.22/1.62 [126]
% 1.22/1.62 ifeq(sum(A,B,C),true,ifeq(sum(X,C,additive_identity),true,ifeq(sum(X,A,
% 1.22/1.62 additive_inverse(B)),true,true,true),true),true)
% 1.22/1.62 -> true
% 1.22/1.62 Current number of equations to process: 2
% 1.22/1.62 Current number of ordered equations: 0
% 1.22/1.62 Current number of rules: 126
% 1.22/1.62 New rule produced :
% 1.22/1.62 [127]
% 1.22/1.62 ifeq(sum(A,additive_inverse(c),B),true,ifeq(sum(C,B,bS_Ic),true,ifeq(
% 1.22/1.62 sum(C,A,b),true,true,true),true),true)
% 1.22/1.62 -> true
% 1.22/1.62 Current number of equations to process: 1
% 1.22/1.62 Current number of ordered equations: 0
% 1.22/1.62 Current number of rules: 127
% 1.22/1.62 New rule produced :
% 1.22/1.62 [128]
% 1.22/1.62 ifeq(sum(A,B,C),true,ifeq(sum(X,C,add(Y,B)),true,ifeq(sum(X,A,Y),true,true,true),true),true)
% 1.22/1.62 -> true
% 1.22/1.62 Current number of equations to process: 0
% 1.22/1.62 Current number of ordered equations: 0
% 1.22/1.62 Current number of rules: 128
% 1.22/1.62 New rule produced :
% 1.22/1.62 [129]
% 1.22/1.62 ifeq(product(A,B,A),true,ifeq(product(C,B,X),true,ifeq(product(X,B,C),true,true,true),true),true)
% 1.22/1.62 -> true
% 1.22/1.62 Current number of equations to process: 23
% 1.22/1.62 Current number of ordered equations: 0
% 1.22/1.62 Current number of rules: 129
% 1.22/1.62 New rule produced :
% 1.22/1.62 [130]
% 1.22/1.62 ifeq(product(A,B,C),true,ifeq(product(A,B,X),true,ifeq(product(additive_identity,B,Y),true,
% 1.22/1.65 sum(Y,X,C),true),true),true)
% 1.22/1.65 -> true
% 1.22/1.65 Current number of equations to process: 22
% 1.22/1.65 Current number of ordered equations: 0
% 1.22/1.65 Current number of rules: 130
% 1.22/1.65 New rule produced :
% 1.22/1.65 [131]
% 1.22/1.65 ifeq(product(A,B,C),true,ifeq(product(additive_identity,B,X),true,ifeq(
% 1.22/1.65 product(A,B,Y),true,
% 1.22/1.65 sum(Y,X,C),true),true),true)
% 1.22/1.65 -> true
% 1.22/1.65 Current number of equations to process: 21
% 1.22/1.65 Current number of ordered equations: 0
% 1.22/1.65 Current number of rules: 131
% 1.22/1.65 New rule produced :
% 1.22/1.65 [132]
% 1.22/1.65 ifeq(product(A,b,B),true,ifeq(product(C,b,X),true,ifeq(sum(C,A,a),true,
% 1.22/1.65 sum(X,B,aPb),true),true),true)
% 1.22/1.65 -> true
% 1.22/1.65 Current number of equations to process: 18
% 1.22/1.65 Current number of ordered equations: 2
% 1.22/1.65 Current number of rules: 132
% 1.22/1.65 New rule produced :
% 1.22/1.65 [133]
% 1.22/1.65 ifeq(product(A,b,B),true,ifeq(product(C,b,X),true,ifeq(sum(C,a,A),true,
% 1.22/1.65 sum(X,aPb,B),true),true),true)
% 1.22/1.65 -> true
% 1.22/1.65 Current number of equations to process: 18
% 1.22/1.65 Current number of ordered equations: 1
% 1.22/1.65 Current number of rules: 133
% 1.22/1.65 New rule produced :
% 1.22/1.65 [134]
% 1.22/1.65 ifeq(product(A,b,B),true,ifeq(product(C,b,X),true,ifeq(sum(a,C,A),true,
% 1.22/1.65 sum(aPb,X,B),true),true),true)
% 1.22/1.65 -> true
% 1.22/1.65 Current number of equations to process: 18
% 1.22/1.65 Current number of ordered equations: 0
% 1.22/1.65 Current number of rules: 134
% 1.22/1.65 New rule produced :
% 1.22/1.65 [135]
% 1.22/1.65 ifeq(product(A,c,B),true,ifeq(product(C,c,X),true,ifeq(sum(C,A,a),true,
% 1.22/1.65 sum(X,B,aPc),true),true),true)
% 1.22/1.65 -> true
% 1.22/1.65 Current number of equations to process: 15
% 1.22/1.65 Current number of ordered equations: 2
% 1.22/1.65 Current number of rules: 135
% 1.22/1.65 New rule produced :
% 1.22/1.65 [136]
% 1.22/1.65 ifeq(product(A,c,B),true,ifeq(product(C,c,X),true,ifeq(sum(C,a,A),true,
% 1.22/1.65 sum(X,aPc,B),true),true),true)
% 1.22/1.65 -> true
% 1.22/1.65 Current number of equations to process: 15
% 1.22/1.65 Current number of ordered equations: 1
% 1.22/1.65 Current number of rules: 136
% 1.22/1.65 New rule produced :
% 1.22/1.65 [137]
% 1.22/1.65 ifeq(product(A,c,B),true,ifeq(product(C,c,X),true,ifeq(sum(a,C,A),true,
% 1.22/1.65 sum(aPc,X,B),true),true),true)
% 1.22/1.65 -> true
% 1.22/1.65 Current number of equations to process: 15
% 1.22/1.65 Current number of ordered equations: 0
% 1.22/1.65 Current number of rules: 137
% 1.22/1.65 New rule produced :
% 1.22/1.65 [138]
% 1.22/1.65 ifeq(product(aPb_S_IaPc,A,B),true,ifeq(product(additive_inverse(aPc),A,C),true,
% 1.22/1.65 ifeq(product(aPb,A,X),true,sum(X,C,B),true),true),true)
% 1.22/1.65 -> true
% 1.22/1.65 Current number of equations to process: 14
% 1.22/1.65 Current number of ordered equations: 0
% 1.22/1.65 Current number of rules: 138
% 1.22/1.65 New rule produced :
% 1.22/1.65 [139]
% 1.22/1.65 ifeq(product(additive_identity,A,B),true,ifeq(product(additive_inverse(C),A,X),true,
% 1.22/1.65 ifeq(product(C,A,Y),true,sum(Y,X,B),true),true),true)
% 1.22/1.65 -> true
% 1.22/1.65 Current number of equations to process: 13
% 1.22/1.65 Current number of ordered equations: 0
% 1.22/1.65 Current number of rules: 139
% 1.22/1.65 New rule produced :
% 1.22/1.65 [140]
% 1.22/1.65 ifeq(product(additive_identity,A,B),true,ifeq(product(C,A,X),true,ifeq(
% 1.22/1.65 product(
% 1.22/1.65 additive_inverse(C),A,Y),true,
% 1.22/1.65 sum(Y,X,B),true),true),true)
% 1.22/1.65 -> true
% 1.22/1.65 Current number of equations to process: 12
% 1.22/1.65 Current number of ordered equations: 0
% 1.22/1.65 Current number of rules: 140
% 1.22/1.65 New rule produced :
% 1.22/1.65 [141]
% 1.22/1.65 ifeq(product(bS_Ic,A,B),true,ifeq(product(additive_inverse(c),A,C),true,
% 1.22/1.65 ifeq(product(b,A,X),true,sum(X,C,B),true),true),true)
% 1.22/1.65 -> true
% 1.22/1.65 Current number of equations to process: 11
% 1.22/1.65 Current number of ordered equations: 0
% 1.22/1.65 Current number of rules: 141
% 1.22/1.65 New rule produced :
% 1.22/1.65 [142]
% 1.22/1.65 ifeq(product(add(A,B),C,X),true,ifeq(product(B,C,Y),true,ifeq(product(A,C,U),true,
% 1.22/1.65 sum(U,Y,X),true),true),true)
% 1.22/1.65 -> true
% 1.22/1.65 Current number of equations to process: 10
% 1.43/1.69 Current number of ordered equations: 0
% 1.43/1.69 Current number of rules: 142
% 1.43/1.69 New rule produced :
% 1.43/1.69 [143]
% 1.43/1.69 ifeq(product(A,B,C),true,ifeq(product(X,B,Y),true,ifeq(sum(X,A,U),true,
% 1.43/1.69 sum(Y,C,multiply(U,B)),true),true),true)
% 1.43/1.69 -> true
% 1.43/1.69 Current number of equations to process: 7
% 1.43/1.69 Current number of ordered equations: 2
% 1.43/1.69 Current number of rules: 143
% 1.43/1.69 New rule produced :
% 1.43/1.69 [144]
% 1.43/1.69 ifeq(product(A,B,C),true,ifeq(product(X,B,Y),true,ifeq(sum(X,U,A),true,
% 1.43/1.69 sum(Y,multiply(U,B),C),true),true),true)
% 1.43/1.69 -> true
% 1.43/1.69 Current number of equations to process: 7
% 1.43/1.69 Current number of ordered equations: 1
% 1.43/1.69 Current number of rules: 144
% 1.43/1.69 New rule produced :
% 1.43/1.69 [145]
% 1.43/1.69 ifeq(product(A,B,C),true,ifeq(product(X,B,Y),true,ifeq(sum(U,X,A),true,
% 1.43/1.69 sum(multiply(U,B),Y,C),true),true),true)
% 1.43/1.69 -> true
% 1.43/1.69 Current number of equations to process: 7
% 1.43/1.69 Current number of ordered equations: 0
% 1.43/1.69 Current number of rules: 145
% 1.43/1.69 New rule produced :
% 1.43/1.69 [146]
% 1.43/1.69 ifeq(product(A,B,C),true,ifeq(product(X,B,C),true,ifeq(product(Y,B,additive_identity),true,
% 1.43/1.69 ifeq(sum(Y,X,A),true,true,true),true),true),true)
% 1.43/1.69 -> true
% 1.43/1.69 Current number of equations to process: 6
% 1.43/1.69 Current number of ordered equations: 0
% 1.43/1.69 Current number of rules: 146
% 1.43/1.69 New rule produced :
% 1.43/1.69 [147]
% 1.43/1.69 ifeq(product(A,B,C),true,ifeq(product(X,B,additive_identity),true,ifeq(
% 1.43/1.69 product(Y,B,C),true,
% 1.43/1.69 ifeq(
% 1.43/1.69 sum(Y,X,A),true,true,true),true),true),true)
% 1.43/1.69 -> true
% 1.43/1.69 Current number of equations to process: 5
% 1.43/1.69 Current number of ordered equations: 0
% 1.43/1.69 Current number of rules: 147
% 1.43/1.69 New rule produced :
% 1.43/1.69 [148]
% 1.43/1.69 ifeq(product(A,B,aPb_S_IaPc),true,ifeq(product(C,B,additive_inverse(aPc)),true,
% 1.43/1.69 ifeq(product(X,B,aPb),true,ifeq(sum(X,C,A),true,true,true),true),true),true)
% 1.43/1.69 -> true
% 1.43/1.69 Current number of equations to process: 4
% 1.43/1.69 Current number of ordered equations: 0
% 1.43/1.69 Current number of rules: 148
% 1.43/1.69 New rule produced :
% 1.43/1.69 [149]
% 1.43/1.69 ifeq(product(A,B,additive_identity),true,ifeq(product(C,B,additive_inverse(X)),true,
% 1.43/1.69 ifeq(product(Y,B,X),true,ifeq(
% 1.43/1.69 sum(Y,C,A),true,true,true),true),true),true)
% 1.43/1.69 -> true
% 1.43/1.69 Current number of equations to process: 3
% 1.43/1.69 Current number of ordered equations: 0
% 1.43/1.69 Current number of rules: 149
% 1.43/1.69 New rule produced :
% 1.43/1.69 [150]
% 1.43/1.69 ifeq(product(A,B,additive_identity),true,ifeq(product(C,B,X),true,ifeq(
% 1.43/1.69 product(Y,B,
% 1.43/1.69 additive_inverse(X)),true,
% 1.43/1.69 ifeq(
% 1.43/1.69 sum(Y,C,A),true,true,true),true),true),true)
% 1.43/1.69 -> true
% 1.43/1.69 Current number of equations to process: 2
% 1.43/1.69 Current number of ordered equations: 0
% 1.43/1.69 Current number of rules: 150
% 1.43/1.69 New rule produced :
% 1.43/1.69 [151]
% 1.43/1.69 ifeq(product(A,B,bS_Ic),true,ifeq(product(C,B,additive_inverse(c)),true,
% 1.43/1.69 ifeq(product(X,B,b),true,ifeq(sum(X,C,A),true,true,true),true),true),true)
% 1.43/1.69 -> true
% 1.43/1.69 Current number of equations to process: 1
% 1.43/1.69 Current number of ordered equations: 0
% 1.43/1.69 Current number of rules: 151
% 1.43/1.69 New rule produced :
% 1.43/1.69 [152]
% 1.43/1.69 ifeq(product(A,B,add(C,X)),true,ifeq(product(Y,B,X),true,ifeq(product(U,B,C),true,
% 1.43/1.69 ifeq(sum(U,Y,A),true,true,true),true),true),true)
% 1.43/1.69 -> true
% 1.43/1.69 Current number of equations to process: 0
% 1.43/1.69 Current number of ordered equations: 0
% 1.43/1.69 Current number of rules: 152
% 1.43/1.69 New rule produced :
% 1.43/1.69 [153]
% 1.43/1.69 ifeq(product(A,B,B),true,ifeq(product(A,C,X),true,ifeq(product(A,X,C),true,true,true),true),true)
% 1.43/1.69 -> true
% 1.43/1.69 Current number of equations to process: 23
% 1.43/1.69 Current number of ordered equations: 0
% 1.43/1.69 Current number of rules: 153
% 1.43/1.69 New rule produced :
% 1.43/1.69 [154]
% 1.43/1.69 ifeq(product(A,B,C),true,ifeq(product(A,B,X),true,ifeq(product(A,additive_identity,Y),true,
% 1.43/1.73 sum(Y,X,C),true),true),true)
% 1.43/1.73 -> true
% 1.43/1.73 Current number of equations to process: 22
% 1.43/1.73 Current number of ordered equations: 0
% 1.43/1.73 Current number of rules: 154
% 1.43/1.73 New rule produced :
% 1.43/1.73 [155]
% 1.43/1.73 ifeq(product(A,B,C),true,ifeq(product(A,additive_identity,X),true,ifeq(
% 1.43/1.73 product(A,B,Y),true,
% 1.43/1.73 sum(Y,X,C),true),true),true)
% 1.43/1.73 -> true
% 1.43/1.73 Current number of equations to process: 21
% 1.43/1.73 Current number of ordered equations: 0
% 1.43/1.73 Current number of rules: 155
% 1.43/1.73 New rule produced :
% 1.43/1.73 [156]
% 1.43/1.73 ifeq(product(a,A,B),true,ifeq(product(a,C,X),true,ifeq(sum(C,A,b),true,
% 1.43/1.73 sum(X,B,aPb),true),true),true)
% 1.43/1.73 -> true
% 1.43/1.73 Current number of equations to process: 18
% 1.43/1.73 Current number of ordered equations: 2
% 1.43/1.73 Current number of rules: 156
% 1.43/1.73 New rule produced :
% 1.43/1.73 [157]
% 1.43/1.73 ifeq(product(a,A,B),true,ifeq(product(a,C,X),true,ifeq(sum(C,b,A),true,
% 1.43/1.73 sum(X,aPb,B),true),true),true)
% 1.43/1.73 -> true
% 1.43/1.73 Current number of equations to process: 18
% 1.43/1.73 Current number of ordered equations: 1
% 1.43/1.73 Current number of rules: 157
% 1.43/1.73 New rule produced :
% 1.43/1.73 [158]
% 1.43/1.73 ifeq(product(a,A,B),true,ifeq(product(a,C,X),true,ifeq(sum(b,C,A),true,
% 1.43/1.73 sum(aPb,X,B),true),true),true)
% 1.43/1.73 -> true
% 1.43/1.73 Current number of equations to process: 18
% 1.43/1.73 Current number of ordered equations: 0
% 1.43/1.73 Current number of rules: 158
% 1.43/1.73 New rule produced :
% 1.43/1.73 [159]
% 1.43/1.73 ifeq(product(a,A,B),true,ifeq(product(a,C,X),true,ifeq(sum(C,A,c),true,
% 1.43/1.73 sum(X,B,aPc),true),true),true)
% 1.43/1.73 -> true
% 1.43/1.73 Current number of equations to process: 15
% 1.43/1.73 Current number of ordered equations: 2
% 1.43/1.73 Current number of rules: 159
% 1.43/1.73 New rule produced :
% 1.43/1.73 [160]
% 1.43/1.73 ifeq(product(a,A,B),true,ifeq(product(a,C,X),true,ifeq(sum(C,c,A),true,
% 1.43/1.73 sum(X,aPc,B),true),true),true)
% 1.43/1.73 -> true
% 1.43/1.73 Current number of equations to process: 15
% 1.43/1.73 Current number of ordered equations: 1
% 1.43/1.73 Current number of rules: 160
% 1.43/1.73 New rule produced :
% 1.43/1.73 [161]
% 1.43/1.73 ifeq(product(a,A,B),true,ifeq(product(a,C,X),true,ifeq(sum(c,C,A),true,
% 1.43/1.73 sum(aPc,X,B),true),true),true)
% 1.43/1.73 -> true
% 1.43/1.73 Current number of equations to process: 15
% 1.43/1.73 Current number of ordered equations: 0
% 1.43/1.73 Current number of rules: 161
% 1.43/1.73 New rule produced :
% 1.43/1.73 [162]
% 1.43/1.73 ifeq(product(A,aPb_S_IaPc,B),true,ifeq(product(A,additive_inverse(aPc),C),true,
% 1.43/1.73 ifeq(product(A,aPb,X),true,sum(X,C,B),true),true),true)
% 1.43/1.73 -> true
% 1.43/1.73 Current number of equations to process: 14
% 1.43/1.73 Current number of ordered equations: 0
% 1.43/1.73 Current number of rules: 162
% 1.43/1.73 New rule produced :
% 1.43/1.73 [163]
% 1.43/1.73 ifeq(product(A,additive_identity,B),true,ifeq(product(A,additive_inverse(C),X),true,
% 1.43/1.73 ifeq(product(A,C,Y),true,sum(Y,X,B),true),true),true)
% 1.43/1.73 -> true
% 1.43/1.73 Current number of equations to process: 13
% 1.43/1.73 Current number of ordered equations: 0
% 1.43/1.73 Current number of rules: 163
% 1.43/1.73 New rule produced :
% 1.43/1.73 [164]
% 1.43/1.73 ifeq(product(A,additive_identity,B),true,ifeq(product(A,C,X),true,ifeq(
% 1.43/1.73 product(A,
% 1.43/1.73 additive_inverse(C),Y),true,
% 1.43/1.73 sum(Y,X,B),true),true),true)
% 1.43/1.73 -> true
% 1.43/1.73 Current number of equations to process: 12
% 1.43/1.73 Current number of ordered equations: 0
% 1.43/1.73 Current number of rules: 164
% 1.43/1.73 New rule produced :
% 1.43/1.73 [165]
% 1.43/1.73 ifeq(product(A,bS_Ic,B),true,ifeq(product(A,additive_inverse(c),C),true,
% 1.43/1.73 ifeq(product(A,b,X),true,sum(X,C,B),true),true),true)
% 1.43/1.73 -> true
% 1.43/1.73 Current number of equations to process: 11
% 1.43/1.73 Current number of ordered equations: 0
% 1.43/1.73 Current number of rules: 165
% 1.43/1.73 New rule produced :
% 1.43/1.73 [166]
% 1.43/1.73 ifeq(product(A,add(B,C),X),true,ifeq(product(A,C,Y),true,ifeq(product(A,B,U),true,
% 1.43/1.73 sum(U,Y,X),true),true),true)
% 1.43/1.73 -> true
% 1.50/1.78 Current number of equations to process: 10
% 1.50/1.78 Current number of ordered equations: 0
% 1.50/1.78 Current number of rules: 166
% 1.50/1.78 New rule produced :
% 1.50/1.78 [167]
% 1.50/1.78 ifeq(product(A,B,C),true,ifeq(product(A,X,Y),true,ifeq(sum(X,B,U),true,
% 1.50/1.78 sum(Y,C,multiply(A,U)),true),true),true)
% 1.50/1.78 -> true
% 1.50/1.78 Current number of equations to process: 7
% 1.50/1.78 Current number of ordered equations: 2
% 1.50/1.78 Current number of rules: 167
% 1.50/1.78 New rule produced :
% 1.50/1.78 [168]
% 1.50/1.78 ifeq(product(A,B,C),true,ifeq(product(A,X,Y),true,ifeq(sum(X,U,B),true,
% 1.50/1.78 sum(Y,multiply(A,U),C),true),true),true)
% 1.50/1.78 -> true
% 1.50/1.78 Current number of equations to process: 7
% 1.50/1.78 Current number of ordered equations: 1
% 1.50/1.78 Current number of rules: 168
% 1.50/1.78 New rule produced :
% 1.50/1.78 [169]
% 1.50/1.78 ifeq(product(A,B,C),true,ifeq(product(A,X,Y),true,ifeq(sum(U,X,B),true,
% 1.50/1.78 sum(multiply(A,U),Y,C),true),true),true)
% 1.50/1.78 -> true
% 1.50/1.78 Current number of equations to process: 7
% 1.50/1.78 Current number of ordered equations: 0
% 1.50/1.78 Current number of rules: 169
% 1.50/1.78 New rule produced :
% 1.50/1.78 [170]
% 1.50/1.78 ifeq(product(A,B,C),true,ifeq(product(A,X,C),true,ifeq(product(A,Y,additive_identity),true,
% 1.50/1.78 ifeq(sum(Y,X,B),true,true,true),true),true),true)
% 1.50/1.78 -> true
% 1.50/1.78 Current number of equations to process: 6
% 1.50/1.78 Current number of ordered equations: 0
% 1.50/1.78 Current number of rules: 170
% 1.50/1.78 New rule produced :
% 1.50/1.78 [171]
% 1.50/1.78 ifeq(product(A,B,C),true,ifeq(product(A,X,additive_identity),true,ifeq(
% 1.50/1.78 product(A,Y,C),true,
% 1.50/1.78 ifeq(
% 1.50/1.78 sum(Y,X,B),true,true,true),true),true),true)
% 1.50/1.78 -> true
% 1.50/1.78 Current number of equations to process: 5
% 1.50/1.78 Current number of ordered equations: 0
% 1.50/1.78 Current number of rules: 171
% 1.50/1.78 New rule produced :
% 1.50/1.78 [172]
% 1.50/1.78 ifeq(product(A,B,aPb_S_IaPc),true,ifeq(product(A,C,additive_inverse(aPc)),true,
% 1.50/1.78 ifeq(product(A,X,aPb),true,ifeq(sum(X,C,B),true,true,true),true),true),true)
% 1.50/1.78 -> true
% 1.50/1.78 Current number of equations to process: 4
% 1.50/1.78 Current number of ordered equations: 0
% 1.50/1.78 Current number of rules: 172
% 1.50/1.78 New rule produced :
% 1.50/1.78 [173]
% 1.50/1.78 ifeq(product(A,B,additive_identity),true,ifeq(product(A,C,additive_inverse(X)),true,
% 1.50/1.78 ifeq(product(A,Y,X),true,ifeq(
% 1.50/1.78 sum(Y,C,B),true,true,true),true),true),true)
% 1.50/1.78 -> true
% 1.50/1.78 Current number of equations to process: 3
% 1.50/1.78 Current number of ordered equations: 0
% 1.50/1.78 Current number of rules: 173
% 1.50/1.78 New rule produced :
% 1.50/1.78 [174]
% 1.50/1.78 ifeq(product(A,B,additive_identity),true,ifeq(product(A,C,X),true,ifeq(
% 1.50/1.78 product(A,Y,
% 1.50/1.78 additive_inverse(X)),true,
% 1.50/1.78 ifeq(
% 1.50/1.78 sum(Y,C,B),true,true,true),true),true),true)
% 1.50/1.78 -> true
% 1.50/1.78 Current number of equations to process: 2
% 1.50/1.78 Current number of ordered equations: 0
% 1.50/1.78 Current number of rules: 174
% 1.50/1.78 New rule produced :
% 1.50/1.78 [175]
% 1.50/1.78 ifeq(product(A,B,bS_Ic),true,ifeq(product(A,C,additive_inverse(c)),true,
% 1.50/1.78 ifeq(product(A,X,b),true,ifeq(sum(X,C,B),true,true,true),true),true),true)
% 1.50/1.78 -> true
% 1.50/1.78 Current number of equations to process: 1
% 1.50/1.78 Current number of ordered equations: 0
% 1.50/1.78 Current number of rules: 175
% 1.50/1.78 New rule produced :
% 1.50/1.78 [176]
% 1.50/1.78 ifeq(product(A,B,add(C,X)),true,ifeq(product(A,Y,X),true,ifeq(product(A,U,C),true,
% 1.50/1.78 ifeq(sum(U,Y,B),true,true,true),true),true),true)
% 1.50/1.78 -> true
% 1.50/1.78 Current number of equations to process: 0
% 1.50/1.78 Current number of ordered equations: 0
% 1.50/1.78 Current number of rules: 176
% 1.50/1.78 New rule produced :
% 1.50/1.78 [177]
% 1.50/1.78 ifeq(product(A,B,C),true,ifeq(product(A,X,additive_identity),true,ifeq(
% 1.50/1.78 sum(X,B,Y),true,
% 1.50/1.78 product(A,Y,C),true),true),true)
% 1.56/1.82 -> true
% 1.56/1.82 Current number of equations to process: 21
% 1.56/1.82 Current number of ordered equations: 1
% 1.56/1.82 Current number of rules: 177
% 1.56/1.82 New rule produced :
% 1.56/1.82 [178]
% 1.56/1.82 ifeq(product(A,B,C),true,ifeq(product(A,additive_identity,X),true,ifeq(
% 1.56/1.82 sum(X,C,Y),true,
% 1.56/1.82 product(A,B,Y),true),true),true)
% 1.56/1.82 -> true
% 1.56/1.82 Current number of equations to process: 21
% 1.56/1.82 Current number of ordered equations: 0
% 1.56/1.82 Current number of rules: 178
% 1.56/1.82 New rule produced :
% 1.56/1.82 [179]
% 1.56/1.82 ifeq(product(A,additive_identity,B),true,ifeq(product(A,C,X),true,ifeq(
% 1.56/1.82 sum(X,B,Y),true,
% 1.56/1.82 product(A,C,Y),true),true),true)
% 1.56/1.82 -> true
% 1.56/1.82 Current number of equations to process: 19
% 1.56/1.82 Current number of ordered equations: 1
% 1.56/1.82 Current number of rules: 179
% 1.56/1.82 New rule produced :
% 1.56/1.82 [180]
% 1.56/1.82 ifeq(product(A,B,additive_identity),true,ifeq(product(A,C,X),true,ifeq(
% 1.56/1.82 sum(C,B,Y),true,
% 1.56/1.82 product(A,Y,X),true),true),true)
% 1.56/1.82 -> true
% 1.56/1.82 Current number of equations to process: 19
% 1.56/1.82 Current number of ordered equations: 0
% 1.56/1.82 Current number of rules: 180
% 1.56/1.82 New rule produced :
% 1.56/1.82 [181]
% 1.56/1.82 ifeq(product(a,A,B),true,ifeq(sum(B,aPb,C),true,ifeq(sum(A,b,X),true,
% 1.56/1.82 product(a,X,C),true),true),true)
% 1.56/1.82 -> true
% 1.56/1.82 Current number of equations to process: 17
% 1.56/1.82 Current number of ordered equations: 1
% 1.56/1.82 Current number of rules: 181
% 1.56/1.82 New rule produced :
% 1.56/1.82 [182]
% 1.56/1.82 ifeq(product(a,A,B),true,ifeq(sum(aPb,B,C),true,ifeq(sum(b,A,X),true,
% 1.56/1.82 product(a,X,C),true),true),true)
% 1.56/1.82 -> true
% 1.56/1.82 Current number of equations to process: 17
% 1.56/1.82 Current number of ordered equations: 0
% 1.56/1.82 Current number of rules: 182
% 1.56/1.82 New rule produced :
% 1.56/1.82 [183]
% 1.56/1.82 ifeq(product(a,A,B),true,ifeq(sum(B,aPc,C),true,ifeq(sum(A,c,X),true,
% 1.56/1.82 product(a,X,C),true),true),true)
% 1.56/1.82 -> true
% 1.56/1.82 Current number of equations to process: 15
% 1.56/1.82 Current number of ordered equations: 1
% 1.56/1.82 Current number of rules: 183
% 1.56/1.82 New rule produced :
% 1.56/1.82 [184]
% 1.56/1.82 ifeq(product(a,A,B),true,ifeq(sum(aPc,B,C),true,ifeq(sum(c,A,X),true,
% 1.56/1.82 product(a,X,C),true),true),true)
% 1.56/1.82 -> true
% 1.56/1.82 Current number of equations to process: 15
% 1.56/1.82 Current number of ordered equations: 0
% 1.56/1.82 Current number of rules: 184
% 1.56/1.82 New rule produced :
% 1.56/1.82 [185]
% 1.56/1.82 ifeq(product(A,additive_inverse(aPc),B),true,ifeq(product(A,aPb,C),true,
% 1.56/1.82 ifeq(sum(C,B,X),true,product(A,aPb_S_IaPc,X),true),true),true)
% 1.56/1.82 -> true
% 1.56/1.82 Current number of equations to process: 13
% 1.56/1.82 Current number of ordered equations: 1
% 1.56/1.82 Current number of rules: 185
% 1.56/1.82 New rule produced :
% 1.56/1.82 [186]
% 1.56/1.82 ifeq(product(A,B,additive_inverse(aPc)),true,ifeq(product(A,C,aPb),true,
% 1.56/1.82 ifeq(sum(C,B,X),true,product(A,X,aPb_S_IaPc),true),true),true)
% 1.56/1.82 -> true
% 1.56/1.82 Current number of equations to process: 13
% 1.56/1.82 Current number of ordered equations: 0
% 1.56/1.82 Current number of rules: 186
% 1.56/1.82 New rule produced :
% 1.56/1.82 [187]
% 1.56/1.82 ifeq(product(A,additive_inverse(B),C),true,ifeq(product(A,B,X),true,ifeq(
% 1.56/1.82 sum(X,C,Y),true,
% 1.56/1.82 product(A,additive_identity,Y),true),true),true)
% 1.56/1.82 -> true
% 1.56/1.82 Current number of equations to process: 11
% 1.56/1.82 Current number of ordered equations: 1
% 1.56/1.82 Current number of rules: 187
% 1.56/1.82 New rule produced :
% 1.56/1.82 [188]
% 1.56/1.82 ifeq(product(A,B,additive_inverse(C)),true,ifeq(product(A,X,C),true,ifeq(
% 1.56/1.82 sum(X,B,Y),true,
% 1.56/1.82 product(A,Y,additive_identity),true),true),true)
% 1.56/1.82 -> true
% 1.56/1.82 Current number of equations to process: 11
% 1.56/1.82 Current number of ordered equations: 0
% 1.56/1.82 Current number of rules: 188
% 1.56/1.82 New rule produced :
% 1.56/1.82 [189]
% 1.56/1.82 ifeq(product(A,B,C),true,ifeq(product(A,X,additive_inverse(C)),true,ifeq(
% 1.60/1.88 sum(X,B,Y),true,
% 1.60/1.88 product(A,Y,additive_identity),true),true),true)
% 1.60/1.88 -> true
% 1.60/1.88 Current number of equations to process: 9
% 1.60/1.88 Current number of ordered equations: 1
% 1.60/1.88 Current number of rules: 189
% 1.60/1.88 New rule produced :
% 1.60/1.88 [190]
% 1.60/1.88 ifeq(product(A,B,C),true,ifeq(product(A,additive_inverse(B),X),true,ifeq(
% 1.60/1.88 sum(X,C,Y),true,
% 1.60/1.88 product(A,additive_identity,Y),true),true),true)
% 1.60/1.88 -> true
% 1.60/1.88 Current number of equations to process: 9
% 1.60/1.88 Current number of ordered equations: 0
% 1.60/1.88 Current number of rules: 190
% 1.60/1.88 New rule produced :
% 1.60/1.88 [191]
% 1.60/1.88 ifeq(product(A,B,additive_inverse(c)),true,ifeq(product(A,C,b),true,ifeq(
% 1.60/1.88 sum(C,B,X),true,
% 1.60/1.88 product(A,X,bS_Ic),true),true),true)
% 1.60/1.88 -> true
% 1.60/1.88 Current number of equations to process: 7
% 1.60/1.88 Current number of ordered equations: 1
% 1.60/1.88 Current number of rules: 191
% 1.60/1.88 New rule produced :
% 1.60/1.88 [192]
% 1.60/1.88 ifeq(product(A,additive_inverse(c),B),true,ifeq(product(A,b,C),true,ifeq(
% 1.60/1.88 sum(C,B,X),true,
% 1.60/1.88 product(A,bS_Ic,X),true),true),true)
% 1.60/1.88 -> true
% 1.60/1.88 Current number of equations to process: 7
% 1.60/1.88 Current number of ordered equations: 0
% 1.60/1.88 Current number of rules: 192
% 1.60/1.88 New rule produced :
% 1.60/1.88 [193]
% 1.60/1.88 ifeq(product(A,B,C),true,ifeq(product(A,X,Y),true,ifeq(sum(X,B,U),true,
% 1.60/1.88 product(A,U,add(Y,C)),true),true),true)
% 1.60/1.88 -> true
% 1.60/1.88 Current number of equations to process: 5
% 1.60/1.88 Current number of ordered equations: 1
% 1.60/1.88 Current number of rules: 193
% 1.60/1.88 New rule produced :
% 1.60/1.88 [194]
% 1.60/1.88 ifeq(product(A,B,C),true,ifeq(product(A,X,Y),true,ifeq(sum(Y,C,U),true,
% 1.60/1.88 product(A,add(X,B),U),true),true),true)
% 1.60/1.88 -> true
% 1.60/1.88 Current number of equations to process: 5
% 1.60/1.88 Current number of ordered equations: 0
% 1.60/1.88 Current number of rules: 194
% 1.60/1.88 New rule produced :
% 1.60/1.88 [195]
% 1.60/1.88 ifeq(product(A,B,C),true,ifeq(sum(C,multiply(A,X),Y),true,ifeq(sum(B,X,U),true,
% 1.60/1.88 product(A,U,Y),true),true),true)
% 1.60/1.88 -> true
% 1.60/1.88 Current number of equations to process: 3
% 1.60/1.88 Current number of ordered equations: 1
% 1.60/1.88 Current number of rules: 195
% 1.60/1.88 New rule produced :
% 1.60/1.88 [196]
% 1.60/1.88 ifeq(product(A,B,C),true,ifeq(sum(multiply(A,X),C,Y),true,ifeq(sum(X,B,U),true,
% 1.60/1.88 product(A,U,Y),true),true),true)
% 1.60/1.88 -> true
% 1.60/1.88 Current number of equations to process: 3
% 1.60/1.88 Current number of ordered equations: 0
% 1.60/1.88 Current number of rules: 196
% 1.60/1.88 New rule produced :
% 1.60/1.88 [197]
% 1.60/1.88 ifeq(product(a,A,B),true,ifeq(product(a,C,X),true,ifeq(sum(X,B,aPb),true,
% 1.60/1.88 ifeq(sum(C,A,b),true,true,true),true),true),true)
% 1.60/1.88 -> true
% 1.60/1.88 Current number of equations to process: 2
% 1.60/1.88 Current number of ordered equations: 0
% 1.60/1.88 Current number of rules: 197
% 1.60/1.88 New rule produced :
% 1.60/1.88 [198]
% 1.60/1.88 ifeq(product(a,A,B),true,ifeq(product(a,C,X),true,ifeq(sum(X,B,aPc),true,
% 1.60/1.88 ifeq(sum(C,A,c),true,true,true),true),true),true)
% 1.60/1.88 -> true
% 1.60/1.88 Current number of equations to process: 1
% 1.60/1.88 Current number of ordered equations: 0
% 1.60/1.88 Current number of rules: 198
% 1.60/1.88 New rule produced :
% 1.60/1.88 [199]
% 1.60/1.88 ifeq(product(A,B,C),true,ifeq(product(A,X,Y),true,ifeq(sum(Y,C,multiply(A,U)),true,
% 1.60/1.88 ifeq(sum(X,B,U),true,true,true),true),true),true)
% 1.60/1.88 -> true
% 1.60/1.88 Current number of equations to process: 0
% 1.60/1.88 Current number of ordered equations: 0
% 1.60/1.88 Current number of rules: 199
% 1.60/1.88 New rule produced :
% 1.60/1.88 [200]
% 1.60/1.88 ifeq(product(A,B,C),true,ifeq(product(X,B,additive_identity),true,ifeq(
% 1.60/1.88 sum(X,A,Y),true,
% 1.60/1.88 product(Y,B,C),true),true),true)
% 1.60/1.88 -> true
% 1.60/1.88 Current number of equations to process: 21
% 1.60/1.93 Current number of ordered equations: 1
% 1.60/1.93 Current number of rules: 200
% 1.60/1.93 New rule produced :
% 1.60/1.93 [201]
% 1.60/1.93 ifeq(product(A,B,C),true,ifeq(product(additive_identity,B,X),true,ifeq(
% 1.60/1.93 sum(X,C,Y),true,
% 1.60/1.93 product(A,B,Y),true),true),true)
% 1.60/1.93 -> true
% 1.60/1.93 Current number of equations to process: 21
% 1.60/1.93 Current number of ordered equations: 0
% 1.60/1.93 Current number of rules: 201
% 1.60/1.93 New rule produced :
% 1.60/1.93 [202]
% 1.60/1.93 ifeq(product(A,B,additive_identity),true,ifeq(product(C,B,X),true,ifeq(
% 1.60/1.93 sum(C,A,Y),true,
% 1.60/1.93 product(Y,B,X),true),true),true)
% 1.60/1.93 -> true
% 1.60/1.93 Current number of equations to process: 19
% 1.60/1.93 Current number of ordered equations: 1
% 1.60/1.93 Current number of rules: 202
% 1.60/1.93 New rule produced :
% 1.60/1.93 [203]
% 1.60/1.93 ifeq(product(additive_identity,A,B),true,ifeq(product(C,A,X),true,ifeq(
% 1.60/1.93 sum(X,B,Y),true,
% 1.60/1.93 product(C,A,Y),true),true),true)
% 1.60/1.93 -> true
% 1.60/1.93 Current number of equations to process: 19
% 1.60/1.93 Current number of ordered equations: 0
% 1.60/1.93 Current number of rules: 203
% 1.60/1.93 New rule produced :
% 1.60/1.93 [204]
% 1.60/1.93 ifeq(product(A,b,B),true,ifeq(sum(B,aPb,C),true,ifeq(sum(A,a,X),true,
% 1.60/1.93 product(X,b,C),true),true),true)
% 1.60/1.93 -> true
% 1.60/1.93 Current number of equations to process: 17
% 1.60/1.93 Current number of ordered equations: 1
% 1.60/1.93 Current number of rules: 204
% 1.60/1.93 New rule produced :
% 1.60/1.93 [205]
% 1.60/1.93 ifeq(product(A,b,B),true,ifeq(sum(aPb,B,C),true,ifeq(sum(a,A,X),true,
% 1.60/1.93 product(X,b,C),true),true),true)
% 1.60/1.93 -> true
% 1.60/1.93 Current number of equations to process: 17
% 1.60/1.93 Current number of ordered equations: 0
% 1.60/1.93 Current number of rules: 205
% 1.60/1.93 New rule produced :
% 1.60/1.93 [206]
% 1.60/1.93 ifeq(product(A,c,B),true,ifeq(sum(B,aPc,C),true,ifeq(sum(A,a,X),true,
% 1.60/1.93 product(X,c,C),true),true),true)
% 1.60/1.93 -> true
% 1.60/1.93 Current number of equations to process: 15
% 1.60/1.93 Current number of ordered equations: 1
% 1.60/1.93 Current number of rules: 206
% 1.60/1.93 New rule produced :
% 1.60/1.93 [207]
% 1.60/1.93 ifeq(product(A,c,B),true,ifeq(sum(aPc,B,C),true,ifeq(sum(a,A,X),true,
% 1.60/1.93 product(X,c,C),true),true),true)
% 1.60/1.93 -> true
% 1.60/1.93 Current number of equations to process: 15
% 1.60/1.93 Current number of ordered equations: 0
% 1.60/1.93 Current number of rules: 207
% 1.60/1.93 New rule produced :
% 1.60/1.93 [208]
% 1.60/1.93 ifeq(product(A,B,additive_inverse(aPc)),true,ifeq(product(C,B,aPb),true,
% 1.60/1.93 ifeq(sum(C,A,X),true,product(X,B,aPb_S_IaPc),true),true),true)
% 1.60/1.93 -> true
% 1.60/1.93 Current number of equations to process: 13
% 1.60/1.93 Current number of ordered equations: 1
% 1.60/1.93 Current number of rules: 208
% 1.60/1.93 New rule produced :
% 1.60/1.93 [209]
% 1.60/1.93 ifeq(product(additive_inverse(aPc),A,B),true,ifeq(product(aPb,A,C),true,
% 1.60/1.93 ifeq(sum(C,B,X),true,product(aPb_S_IaPc,A,X),true),true),true)
% 1.60/1.93 -> true
% 1.60/1.93 Current number of equations to process: 13
% 1.60/1.93 Current number of ordered equations: 0
% 1.60/1.93 Current number of rules: 209
% 1.60/1.93 New rule produced :
% 1.60/1.93 [210]
% 1.60/1.93 ifeq(product(A,B,additive_inverse(C)),true,ifeq(product(X,B,C),true,ifeq(
% 1.60/1.93 sum(X,A,Y),true,
% 1.60/1.93 product(Y,B,additive_identity),true),true),true)
% 1.60/1.93 -> true
% 1.60/1.93 Current number of equations to process: 11
% 1.60/1.93 Current number of ordered equations: 1
% 1.60/1.93 Current number of rules: 210
% 1.60/1.93 New rule produced :
% 1.60/1.93 [211]
% 1.60/1.93 ifeq(product(additive_inverse(A),B,C),true,ifeq(product(A,B,X),true,ifeq(
% 1.60/1.93 sum(X,C,Y),true,
% 1.60/1.93 product(additive_identity,B,Y),true),true),true)
% 1.60/1.93 -> true
% 1.60/1.93 Current number of equations to process: 11
% 1.60/1.93 Current number of ordered equations: 0
% 1.60/1.93 Current number of rules: 211
% 1.60/1.93 New rule produced :
% 1.60/1.93 [212]
% 1.60/1.93 ifeq(product(A,B,C),true,ifeq(product(X,B,additive_inverse(C)),true,ifeq(
% 1.60/1.93 sum(X,A,Y),true,
% 1.68/1.98 product(Y,B,additive_identity),true),true),true)
% 1.68/1.98 -> true
% 1.68/1.98 Current number of equations to process: 9
% 1.68/1.98 Current number of ordered equations: 1
% 1.68/1.98 Current number of rules: 212
% 1.68/1.98 New rule produced :
% 1.68/1.98 [213]
% 1.68/1.98 ifeq(product(A,B,C),true,ifeq(product(additive_inverse(A),B,X),true,ifeq(
% 1.68/1.98 sum(X,C,Y),true,
% 1.68/1.98 product(additive_identity,B,Y),true),true),true)
% 1.68/1.98 -> true
% 1.68/1.98 Current number of equations to process: 9
% 1.68/1.98 Current number of ordered equations: 0
% 1.68/1.98 Current number of rules: 213
% 1.68/1.98 New rule produced :
% 1.68/1.98 [214]
% 1.68/1.98 ifeq(product(additive_inverse(c),A,B),true,ifeq(product(b,A,C),true,ifeq(
% 1.68/1.98 sum(C,B,X),true,
% 1.68/1.98 product(bS_Ic,A,X),true),true),true)
% 1.68/1.98 -> true
% 1.68/1.98 Current number of equations to process: 7
% 1.68/1.98 Current number of ordered equations: 1
% 1.68/1.98 Current number of rules: 214
% 1.68/1.98 New rule produced :
% 1.68/1.98 [215]
% 1.68/1.98 ifeq(product(A,B,additive_inverse(c)),true,ifeq(product(C,B,b),true,ifeq(
% 1.68/1.98 sum(C,A,X),true,
% 1.68/1.98 product(X,B,bS_Ic),true),true),true)
% 1.68/1.98 -> true
% 1.68/1.98 Current number of equations to process: 7
% 1.68/1.98 Current number of ordered equations: 0
% 1.68/1.98 Current number of rules: 215
% 1.68/1.98 New rule produced :
% 1.68/1.98 [216]
% 1.68/1.98 ifeq(product(A,B,C),true,ifeq(product(X,B,Y),true,ifeq(sum(X,A,U),true,
% 1.68/1.98 product(U,B,add(Y,C)),true),true),true)
% 1.68/1.98 -> true
% 1.68/1.98 Current number of equations to process: 5
% 1.68/1.98 Current number of ordered equations: 1
% 1.68/1.98 Current number of rules: 216
% 1.68/1.98 New rule produced :
% 1.68/1.98 [217]
% 1.68/1.98 ifeq(product(A,B,C),true,ifeq(product(X,B,Y),true,ifeq(sum(Y,C,U),true,
% 1.68/1.98 product(add(X,A),B,U),true),true),true)
% 1.68/1.98 -> true
% 1.68/1.98 Current number of equations to process: 5
% 1.68/1.98 Current number of ordered equations: 0
% 1.68/1.98 Current number of rules: 217
% 1.68/1.98 New rule produced :
% 1.68/1.98 [218]
% 1.68/1.98 ifeq(product(A,B,C),true,ifeq(sum(C,multiply(X,B),Y),true,ifeq(sum(A,X,U),true,
% 1.68/1.98 product(U,B,Y),true),true),true)
% 1.68/1.98 -> true
% 1.68/1.98 Current number of equations to process: 3
% 1.68/1.98 Current number of ordered equations: 1
% 1.68/1.98 Current number of rules: 218
% 1.68/1.98 New rule produced :
% 1.68/1.98 [219]
% 1.68/1.98 ifeq(product(A,B,C),true,ifeq(sum(multiply(X,B),C,Y),true,ifeq(sum(X,A,U),true,
% 1.68/1.98 product(U,B,Y),true),true),true)
% 1.68/1.98 -> true
% 1.68/1.98 Current number of equations to process: 3
% 1.68/1.98 Current number of ordered equations: 0
% 1.68/1.98 Current number of rules: 219
% 1.68/1.98 New rule produced :
% 1.68/1.98 [220]
% 1.68/1.98 ifeq(product(A,b,B),true,ifeq(product(C,b,X),true,ifeq(sum(X,B,aPb),true,
% 1.68/1.98 ifeq(sum(C,A,a),true,true,true),true),true),true)
% 1.68/1.98 -> true
% 1.68/1.98 Current number of equations to process: 2
% 1.68/1.98 Current number of ordered equations: 0
% 1.68/1.98 Current number of rules: 220
% 1.68/1.98 New rule produced :
% 1.68/1.98 [221]
% 1.68/1.98 ifeq(product(A,c,B),true,ifeq(product(C,c,X),true,ifeq(sum(X,B,aPc),true,
% 1.68/1.98 ifeq(sum(C,A,a),true,true,true),true),true),true)
% 1.68/1.98 -> true
% 1.68/1.98 Current number of equations to process: 1
% 1.68/1.98 Current number of ordered equations: 0
% 1.68/1.98 Current number of rules: 221
% 1.68/1.98 New rule produced :
% 1.68/1.98 [222]
% 1.68/1.98 ifeq(product(A,B,C),true,ifeq(product(X,B,Y),true,ifeq(sum(Y,C,multiply(U,B)),true,
% 1.68/1.98 ifeq(sum(X,A,U),true,true,true),true),true),true)
% 1.68/1.98 -> true
% 1.68/1.98 Current number of equations to process: 0
% 1.68/1.98 Current number of ordered equations: 0
% 1.68/1.98 Current number of rules: 222
% 1.68/1.98 New rule produced :
% 1.68/1.98 [223] ifeq2(sum(additive_inverse(aPc),aPb,A),true,A,aPb_S_IaPc) -> aPb_S_IaPc
% 1.68/1.98 Current number of equations to process: 0
% 1.68/1.98 Current number of ordered equations: 1
% 1.68/1.98 Current number of rules: 223
% 1.68/1.98 New rule produced :
% 1.68/1.98 [224] ifeq2(sum(additive_inverse(aPc),aPb,A),true,aPb_S_IaPc,A) -> A
% 1.68/1.98 Current number of equations to process: 0
% 1.68/1.98 Current number of ordered equations: 0
% 1.68/1.98 Current number of rules: 224
% 1.80/2.10 New rule produced :
% 1.80/2.10 [225] ifeq2(sum(additive_inverse(c),b,A),true,A,bS_Ic) -> bS_Ic
% 1.80/2.10 Current number of equations to process: 16
% 1.80/2.10 Current number of ordered equations: 1
% 1.80/2.10 Current number of rules: 225
% 1.80/2.10 New rule produced :
% 1.80/2.10 [226] ifeq2(sum(additive_inverse(c),b,A),true,bS_Ic,A) -> A
% 1.80/2.10 Current number of equations to process: 16
% 1.80/2.10 Current number of ordered equations: 0
% 1.80/2.10 Current number of rules: 226
% 1.80/2.10 New rule produced : [227] ifeq2(sum(A,B,C),true,add(B,A),C) -> C
% 1.80/2.10 Current number of equations to process: 33
% 1.80/2.10 Current number of ordered equations: 0
% 1.80/2.10 Current number of rules: 227
% 1.80/2.10 New rule produced : [228] ifeq2(sum(A,B,C),true,C,add(B,A)) -> add(B,A)
% 1.80/2.10 Current number of equations to process: 32
% 1.80/2.10 Current number of ordered equations: 0
% 1.80/2.10 Current number of rules: 228
% 1.80/2.10 New rule produced :
% 1.80/2.10 [229] additive_inverse(additive_identity) -> additive_identity
% 1.80/2.10 Current number of equations to process: 48
% 1.80/2.10 Current number of ordered equations: 0
% 1.80/2.10 Current number of rules: 229
% 1.80/2.10 New rule produced : [230] add(additive_identity,A) -> A
% 1.80/2.10 Current number of equations to process: 48
% 1.80/2.10 Current number of ordered equations: 0
% 1.80/2.10 Current number of rules: 230
% 1.80/2.10 New rule produced :
% 1.80/2.10 [231]
% 1.80/2.10 ifeq(sum(A,aPb,B),true,ifeq(sum(C,A,additive_inverse(aPc)),true,sum(C,B,aPb_S_IaPc),true),true)
% 1.80/2.10 -> true
% 1.80/2.10 Current number of equations to process: 45
% 1.80/2.10 Current number of ordered equations: 2
% 1.80/2.10 Current number of rules: 231
% 1.80/2.10 New rule produced :
% 1.80/2.10 [232]
% 1.80/2.10 ifeq(sum(A,aPb,B),true,ifeq(sum(C,additive_inverse(aPc),A),true,sum(C,aPb_S_IaPc,B),true),true)
% 1.80/2.10 -> true
% 1.80/2.10 Current number of equations to process: 45
% 1.80/2.10 Current number of ordered equations: 1
% 1.80/2.10 Current number of rules: 232
% 1.80/2.10 New rule produced :
% 1.80/2.10 [233]
% 1.80/2.10 ifeq(sum(aPb_S_IaPc,A,B),true,ifeq(sum(aPb,A,C),true,sum(additive_inverse(aPc),C,B),true),true)
% 1.80/2.10 -> true
% 1.80/2.10 Current number of equations to process: 45
% 1.80/2.10 Current number of ordered equations: 0
% 1.80/2.10 Current number of rules: 233
% 1.80/2.10 New rule produced :
% 1.80/2.10 [234]
% 1.80/2.10 ifeq(sum(aPb,A,B),true,ifeq(sum(additive_inverse(aPc),B,C),true,sum(aPb_S_IaPc,A,C),true),true)
% 1.80/2.10 -> true
% 1.80/2.10 Current number of equations to process: 42
% 1.80/2.10 Current number of ordered equations: 2
% 1.80/2.10 Current number of rules: 234
% 1.80/2.10 New rule produced :
% 1.80/2.10 [235]
% 1.80/2.10 ifeq(sum(A,B,aPb),true,ifeq(sum(additive_inverse(aPc),A,C),true,sum(C,B,aPb_S_IaPc),true),true)
% 1.80/2.10 -> true
% 1.80/2.10 Current number of equations to process: 42
% 1.80/2.10 Current number of ordered equations: 1
% 1.80/2.10 Current number of rules: 235
% 1.80/2.10 New rule produced :
% 1.80/2.10 [236]
% 1.80/2.10 ifeq(sum(A,aPb_S_IaPc,B),true,ifeq(sum(A,additive_inverse(aPc),C),true,
% 1.80/2.10 sum(C,aPb,B),true),true) -> true
% 1.80/2.10 Current number of equations to process: 42
% 1.80/2.10 Current number of ordered equations: 0
% 1.80/2.10 Current number of rules: 236
% 1.80/2.10 New rule produced :
% 1.80/2.10 [237]
% 1.80/2.10 ifeq(sum(A,b,B),true,ifeq(sum(C,A,additive_inverse(c)),true,sum(C,B,bS_Ic),true),true)
% 1.80/2.10 -> true
% 1.80/2.10 Current number of equations to process: 39
% 1.80/2.10 Current number of ordered equations: 2
% 1.80/2.10 Current number of rules: 237
% 1.80/2.10 New rule produced :
% 1.80/2.10 [238]
% 1.80/2.10 ifeq(sum(A,b,B),true,ifeq(sum(C,additive_inverse(c),A),true,sum(C,bS_Ic,B),true),true)
% 1.80/2.10 -> true
% 1.80/2.10 Current number of equations to process: 39
% 1.80/2.10 Current number of ordered equations: 1
% 1.80/2.10 Current number of rules: 238
% 1.80/2.10 New rule produced :
% 1.80/2.10 [239]
% 1.80/2.10 ifeq(sum(bS_Ic,A,B),true,ifeq(sum(b,A,C),true,sum(additive_inverse(c),C,B),true),true)
% 1.80/2.10 -> true
% 1.80/2.10 Current number of equations to process: 39
% 1.80/2.10 Current number of ordered equations: 0
% 1.80/2.10 Current number of rules: 239
% 1.80/2.10 New rule produced :
% 1.80/2.10 [240]
% 1.80/2.10 ifeq(sum(A,bS_Ic,B),true,ifeq(sum(A,additive_inverse(c),C),true,sum(C,b,B),true),true)
% 1.80/2.10 -> true
% 1.80/2.10 Current number of equations to process: 36
% 1.80/2.10 Current number of ordered equations: 2
% 1.80/2.10 Current number of rules: 240
% 1.80/2.10 New rule produced :
% 1.80/2.10 [241]
% 1.80/2.10 ifeq(sum(b,A,B),true,ifeq(sum(additive_inverse(c),B,C),true,sum(bS_Ic,A,C),true),true)
% 1.80/2.10 -> true
% 1.80/2.10 Current number of equations to process: 36
% 1.80/2.10 Current number of ordered equations: 1
% 1.80/2.10 Current number of rules: 241
% 1.80/2.10 New rule produced :
% 1.80/2.10 [242]
% 1.80/2.10 ifeq(sum(A,B,b),true,ifeq(sum(additive_inverse(c),A,C),true,sum(C,B,bS_Ic),true),true)
% 1.80/2.10 -> true
% 1.80/2.10 Current number of equations to process: 36
% 1.80/2.10 Current number of ordered equations: 0
% 1.80/2.10 Current number of rules: 242
% 1.80/2.10 New rule produced : [243] add(A,additive_identity) -> A
% 1.80/2.10 Current number of equations to process: 36
% 2.08/2.34 Current number of ordered equations: 0
% 2.08/2.34 Current number of rules: 243
% 2.08/2.34 New rule produced : [244] add(aPb,additive_inverse(aPc)) -> aPb_S_IaPc
% 2.08/2.34 Current number of equations to process: 36
% 2.08/2.34 Current number of ordered equations: 0
% 2.08/2.34 Current number of rules: 244
% 2.08/2.34 New rule produced :
% 2.08/2.34 [245]
% 2.08/2.34 ifeq(sum(add(A,B),C,X),true,ifeq(sum(A,C,Y),true,sum(B,Y,X),true),true) ->
% 2.08/2.34 true
% 2.08/2.34 Current number of equations to process: 33
% 2.08/2.34 Current number of ordered equations: 2
% 2.08/2.34 Current number of rules: 245
% 2.08/2.34 New rule produced :
% 2.08/2.34 [246]
% 2.08/2.34 ifeq(sum(A,B,C),true,ifeq(sum(X,A,Y),true,sum(X,C,add(B,Y)),true),true) ->
% 2.08/2.34 true
% 2.08/2.34 Current number of equations to process: 33
% 2.08/2.34 Current number of ordered equations: 1
% 2.08/2.34 Current number of rules: 246
% 2.08/2.34 New rule produced :
% 2.08/2.34 [247]
% 2.08/2.34 ifeq(sum(A,B,C),true,ifeq(sum(X,Y,A),true,sum(X,add(B,Y),C),true),true) ->
% 2.08/2.34 true
% 2.08/2.34 Current number of equations to process: 33
% 2.08/2.34 Current number of ordered equations: 0
% 2.08/2.34 Current number of rules: 247
% 2.08/2.34 New rule produced :
% 2.08/2.34 [248]
% 2.08/2.34 ifeq(sum(A,add(B,C),X),true,ifeq(sum(A,C,Y),true,sum(Y,B,X),true),true) ->
% 2.08/2.34 true
% 2.08/2.34 Current number of equations to process: 30
% 2.08/2.34 Current number of ordered equations: 2
% 2.08/2.34 Current number of rules: 248
% 2.08/2.34 New rule produced :
% 2.08/2.34 [249]
% 2.08/2.34 ifeq(sum(A,B,C),true,ifeq(sum(X,A,Y),true,sum(Y,B,add(C,X)),true),true) ->
% 2.08/2.34 true
% 2.08/2.34 Current number of equations to process: 30
% 2.08/2.34 Current number of ordered equations: 1
% 2.08/2.34 Current number of rules: 249
% 2.08/2.34 New rule produced :
% 2.08/2.34 [250]
% 2.08/2.34 ifeq(sum(A,B,C),true,ifeq(sum(X,C,Y),true,sum(add(A,X),B,Y),true),true) ->
% 2.08/2.34 true
% 2.08/2.34 Current number of equations to process: 30
% 2.08/2.34 Current number of ordered equations: 0
% 2.08/2.34 Current number of rules: 250
% 2.08/2.34 New rule produced : [251] add(additive_inverse(aPc),aPb) -> aPb_S_IaPc
% 2.08/2.34 Current number of equations to process: 30
% 2.08/2.34 Current number of ordered equations: 0
% 2.08/2.34 Current number of rules: 251
% 2.08/2.34 New rule produced : [252] add(A,additive_inverse(A)) -> additive_identity
% 2.08/2.34 Current number of equations to process: 30
% 2.08/2.34 Current number of ordered equations: 0
% 2.08/2.34 Current number of rules: 252
% 2.08/2.34 New rule produced : [253] add(additive_inverse(A),A) -> additive_identity
% 2.08/2.34 Current number of equations to process: 30
% 2.08/2.34 Current number of ordered equations: 0
% 2.08/2.34 Current number of rules: 253
% 2.08/2.34 New rule produced : [254] add(b,additive_inverse(c)) -> bS_Ic
% 2.08/2.34 Current number of equations to process: 30
% 2.08/2.34 Current number of ordered equations: 0
% 2.08/2.34 Current number of rules: 254
% 2.08/2.34 New rule produced : [255] add(additive_inverse(c),b) -> bS_Ic
% 2.08/2.34 Current number of equations to process: 30
% 2.08/2.34 Current number of ordered equations: 0
% 2.08/2.34 Current number of rules: 255
% 2.08/2.34 add(B,A) = add(A,B) (birth = 1280, lhs_size = 3, rhs_size = 3,trace = Cp of 39 and 26)
% 2.08/2.34 Initializing completion ...
% 2.08/2.34 New rule produced :
% 2.08/2.34 [1] additive_identity <-> additive_inverse(additive_identity)
% 2.08/2.34 Current number of equations to process: 30
% 2.08/2.34 Current number of ordered equations: 489
% 2.08/2.34 Current number of rules: 1
% 2.08/2.34 New rule produced :
% 2.08/2.34 [2] additive_inverse(additive_identity) <-> additive_identity
% 2.08/2.34 Current number of equations to process: 30
% 2.08/2.34 Current number of ordered equations: 488
% 2.08/2.34 Current number of rules: 2
% 2.08/2.34 New rule produced : [3] A <-> additive_identity add A
% 2.08/2.34 Current number of equations to process: 31
% 2.08/2.34 Current number of ordered equations: 487
% 2.08/2.34 Current number of rules: 3
% 2.08/2.34 New rule produced : [4] additive_identity add A <-> A
% 2.08/2.34 Current number of equations to process: 31
% 2.08/2.34 Current number of ordered equations: 486
% 2.08/2.34 Current number of rules: 4
% 2.08/2.34 New rule produced : [5] aPb_S_IaPc <-> aPb add additive_inverse(aPc)
% 2.08/2.34 Current number of equations to process: 35
% 2.08/2.34 Current number of ordered equations: 489
% 2.08/2.34 Current number of rules: 5
% 2.08/2.34 New rule produced : [6] bS_Ic <-> b add additive_inverse(c)
% 2.08/2.34 Current number of equations to process: 35
% 2.08/2.34 Current number of ordered equations: 488
% 2.08/2.34 Current number of rules: 6
% 2.08/2.34 New rule produced : [7] true <-> sum(additive_identity,X,X)
% 2.08/2.34 Current number of equations to process: 35
% 2.08/2.34 Current number of ordered equations: 487
% 2.08/2.34 Current number of rules: 7
% 2.08/2.34 New rule produced : [8] true <-> sum(X,additive_identity,X)
% 2.08/2.34 Current number of equations to process: 35
% 2.08/2.34 Current number of ordered equations: 486
% 2.08/2.34 Current number of rules: 8
% 2.08/2.34 New rule produced : [9] true <-> product(a,b,aPb)
% 2.08/2.34 Current number of equations to process: 35
% 2.08/2.34 Current number of ordered equations: 485
% 3.22/3.52 Current number of rules: 9
% 3.22/3.52 New rule produced : [10] true <-> product(a,c,aPc)
% 3.22/3.52 Current number of equations to process: 35
% 3.22/3.52 Current number of ordered equations: 484
% 3.22/3.52 Current number of rules: 10
% 3.22/3.52 New rule produced : [11] additive_identity <-> additive_inverse(A) add A
% 3.22/3.52 Current number of equations to process: 35
% 3.22/3.52 Current number of ordered equations: 483
% 3.22/3.52 Current number of rules: 11
% 3.22/3.52 New rule produced : [12] b add additive_inverse(c) <-> bS_Ic
% 3.22/3.52 Current number of equations to process: 35
% 3.22/3.52 Current number of ordered equations: 482
% 3.22/3.52 Current number of rules: 12
% 3.22/3.52 New rule produced : [13] aPb add additive_inverse(aPc) <-> aPb_S_IaPc
% 3.22/3.52 Current number of equations to process: 35
% 3.22/3.52 Current number of ordered equations: 481
% 3.22/3.52 Current number of rules: 13
% 3.22/3.52 New rule produced : [14] additive_inverse(A) add A <-> additive_identity
% 3.22/3.52 Current number of equations to process: 35
% 3.22/3.52 Current number of ordered equations: 480
% 3.22/3.52 Current number of rules: 14
% 3.22/3.52 New rule produced : [15] sum(additive_identity,X,X) <-> true
% 3.22/3.52 Current number of equations to process: 35
% 3.22/3.52 Current number of ordered equations: 479
% 3.22/3.52 Current number of rules: 15
% 3.22/3.52 New rule produced : [16] sum(X,additive_identity,X) <-> true
% 3.22/3.52 Current number of equations to process: 35
% 3.22/3.52 Current number of ordered equations: 478
% 3.22/3.52 Current number of rules: 16
% 3.22/3.52 New rule produced : [17] product(a,b,aPb) <-> true
% 3.22/3.52 Current number of equations to process: 35
% 3.22/3.52 Current number of ordered equations: 477
% 3.22/3.52 Current number of rules: 17
% 3.22/3.52 New rule produced : [18] product(a,c,aPc) <-> true
% 3.22/3.52 Current number of equations to process: 35
% 3.22/3.52 Current number of ordered equations: 476
% 3.22/3.52 Current number of rules: 18
% 3.22/3.52 New rule produced : [19] B <-> ifeq(A,A,B,C)
% 3.22/3.52 Current number of equations to process: 76
% 3.22/3.52 Current number of ordered equations: 481
% 3.22/3.52 Current number of rules: 19
% 3.22/3.52 New rule produced : [20] B <-> ifeq2(A,A,B,C)
% 3.22/3.52 Current number of equations to process: 76
% 3.22/3.52 Current number of ordered equations: 480
% 3.22/3.52 Current number of rules: 20
% 3.22/3.52 New rule produced : [21] true <-> sum(aPb,additive_inverse(aPc),aPb_S_IaPc)
% 3.22/3.52 Current number of equations to process: 76
% 3.22/3.52 Current number of ordered equations: 479
% 3.22/3.52 Current number of rules: 21
% 3.22/3.52 New rule produced : [22] true <-> sum(additive_inverse(aPc),aPb,aPb_S_IaPc)
% 3.22/3.52 Current number of equations to process: 76
% 3.22/3.52 Current number of ordered equations: 478
% 3.22/3.52 Current number of rules: 22
% 3.22/3.52 New rule produced :
% 3.22/3.52 [23] true <-> sum(X,additive_inverse(X),additive_identity)
% 3.22/3.52 Current number of equations to process: 76
% 3.22/3.52 Current number of ordered equations: 477
% 3.22/3.52 Current number of rules: 23
% 3.22/3.52 New rule produced :
% 3.22/3.52 [24] true <-> sum(additive_inverse(X),X,additive_identity)
% 3.22/3.52 Current number of equations to process: 76
% 3.22/3.52 Current number of ordered equations: 476
% 3.22/3.52 Current number of rules: 24
% 3.22/3.52 New rule produced : [25] true <-> sum(b,additive_inverse(c),bS_Ic)
% 3.22/3.52 Current number of equations to process: 76
% 3.22/3.52 Current number of ordered equations: 475
% 3.22/3.52 Current number of rules: 25
% 3.22/3.52 New rule produced : [26] true <-> sum(additive_inverse(c),b,bS_Ic)
% 3.22/3.52 Current number of equations to process: 76
% 3.22/3.52 Current number of ordered equations: 474
% 3.22/3.52 Current number of rules: 26
% 3.22/3.52 New rule produced : [27] sum(aPb,additive_inverse(aPc),aPb_S_IaPc) <-> true
% 3.22/3.52 Current number of equations to process: 76
% 3.22/3.52 Current number of ordered equations: 473
% 3.22/3.52 Current number of rules: 27
% 3.22/3.52 New rule produced : [28] sum(additive_inverse(aPc),aPb,aPb_S_IaPc) <-> true
% 3.22/3.52 Current number of equations to process: 76
% 3.22/3.52 Current number of ordered equations: 472
% 3.22/3.52 Current number of rules: 28
% 3.22/3.52 New rule produced :
% 3.22/3.52 [29] sum(X,additive_inverse(X),additive_identity) <-> true
% 3.22/3.52 Current number of equations to process: 76
% 3.22/3.52 Current number of ordered equations: 471
% 3.22/3.52 Current number of rules: 29
% 3.22/3.52 New rule produced :
% 3.22/3.52 [30] sum(additive_inverse(X),X,additive_identity) <-> true
% 3.22/3.52 Current number of equations to process: 76
% 3.22/3.52 Current number of ordered equations: 470
% 3.22/3.52 Current number of rules: 30
% 3.22/3.52 New rule produced : [31] ifeq(A,A,B,C) <-> B
% 3.22/3.52 Current number of equations to process: 76
% 3.22/3.52 Current number of ordered equations: 469
% 3.22/3.52 Current number of rules: 31
% 3.22/3.52 New rule produced : [32] ifeq2(A,A,B,C) <-> B
% 3.22/3.52 Current number of equations to process: 76
% 3.22/3.52 Current number of ordered equations: 468
% 3.22/3.52 Current number of rules: 32
% 7.03/7.30 New rule produced : [33] sum(b,additive_inverse(c),bS_Ic) <-> true
% 7.03/7.30 Current number of equations to process: 76
% 7.03/7.30 Current number of ordered equations: 467
% 7.03/7.30 Current number of rules: 33
% 7.03/7.30 New rule produced : [34] sum(additive_inverse(c),b,bS_Ic) <-> true
% 7.03/7.30 Current number of equations to process: 76
% 7.03/7.30 Current number of ordered equations: 466
% 7.03/7.30 Current number of rules: 34
% 7.03/7.30 New rule produced : [35] true <-> sum(A,B,A add B)
% 7.03/7.30 Current number of equations to process: 277
% 7.03/7.30 Current number of ordered equations: 510
% 7.03/7.30 Current number of rules: 35
% 7.03/7.30 New rule produced : [36] true <-> product(X,Y,multiply(X,Y))
% 7.03/7.30 Current number of equations to process: 277
% 7.03/7.30 Current number of ordered equations: 509
% 7.03/7.30 Current number of rules: 36
% 7.03/7.30 New rule produced : [37] sum(A,B,A add B) <-> true
% 7.03/7.30 Current number of equations to process: 277
% 7.03/7.30 Current number of ordered equations: 507
% 7.03/7.30 Current number of rules: 37
% 7.03/7.30 New rule produced : [38] product(X,Y,multiply(X,Y)) <-> true
% 7.03/7.30 Current number of equations to process: 277
% 7.03/7.30 Current number of ordered equations: 506
% 7.03/7.30 Current number of rules: 38
% 7.03/7.30 New rule produced : [39] A <-> ifeq2(product(a,c,A),true,aPc,A)
% 7.03/7.30 Current number of equations to process: 167
% 7.03/7.30 Current number of ordered equations: 807
% 7.03/7.30 Current number of rules: 39
% 7.03/7.30 New rule produced : [40] A <-> ifeq2(product(a,b,A),true,aPb,A)
% 7.03/7.30 Current number of equations to process: 167
% 7.03/7.30 Current number of ordered equations: 806
% 7.03/7.30 Current number of rules: 40
% 7.03/7.30 New rule produced : [41] A <-> ifeq2(sum(A,additive_identity,B),true,B,A)
% 7.03/7.30 Current number of equations to process: 167
% 7.03/7.30 Current number of ordered equations: 805
% 7.03/7.30 Current number of rules: 41
% 7.03/7.30 New rule produced : [42] A <-> ifeq2(sum(additive_identity,A,B),true,B,A)
% 7.03/7.30 Current number of equations to process: 167
% 7.03/7.30 Current number of ordered equations: 804
% 7.03/7.30 Current number of rules: 42
% 7.03/7.30 New rule produced : [43] B <-> ifeq2(sum(A,additive_identity,B),true,A,B)
% 7.03/7.30 Current number of equations to process: 167
% 7.03/7.30 Current number of ordered equations: 803
% 7.03/7.30 Current number of rules: 43
% 7.03/7.30 New rule produced : [44] B <-> ifeq2(sum(additive_identity,A,B),true,A,B)
% 7.03/7.30 Current number of equations to process: 167
% 7.03/7.30 Current number of ordered equations: 802
% 7.03/7.30 Current number of rules: 44
% 7.03/7.30 New rule produced : [45] aPc <-> ifeq2(product(a,c,A),true,A,aPc)
% 7.03/7.30 Current number of equations to process: 167
% 7.03/7.30 Current number of ordered equations: 801
% 7.03/7.30 Current number of rules: 45
% 7.03/7.30 New rule produced : [46] aPb <-> ifeq2(product(a,b,A),true,A,aPb)
% 7.03/7.30 Current number of equations to process: 167
% 7.03/7.30 Current number of ordered equations: 800
% 7.03/7.30 Current number of rules: 46
% 7.03/7.30 New rule produced : [47] ifeq2(product(a,c,A),true,A,aPc) <-> aPc
% 7.03/7.30 Current number of equations to process: 167
% 7.03/7.30 Current number of ordered equations: 799
% 7.03/7.30 Current number of rules: 47
% 7.03/7.30 New rule produced : [48] ifeq2(product(a,c,A),true,aPc,A) <-> A
% 7.03/7.30 Current number of equations to process: 167
% 7.03/7.30 Current number of ordered equations: 798
% 7.03/7.30 Current number of rules: 48
% 7.03/7.30 New rule produced : [49] ifeq2(product(a,b,A),true,A,aPb) <-> aPb
% 7.03/7.30 Current number of equations to process: 167
% 7.03/7.30 Current number of ordered equations: 797
% 7.03/7.30 Current number of rules: 49
% 7.03/7.30 New rule produced : [50] ifeq2(product(a,b,A),true,aPb,A) <-> A
% 7.03/7.30 Current number of equations to process: 167
% 7.03/7.30 Current number of ordered equations: 796
% 7.03/7.30 Current number of rules: 50
% 7.03/7.30 New rule produced : [51] ifeq2(sum(A,additive_identity,B),true,B,A) <-> A
% 7.03/7.30 Current number of equations to process: 167
% 7.03/7.30 Current number of ordered equations: 795
% 7.03/7.30 Current number of rules: 51
% 7.03/7.30 New rule produced : [52] ifeq2(sum(A,additive_identity,B),true,A,B) <-> B
% 7.03/7.30 Current number of equations to process: 167
% 7.03/7.30 Current number of ordered equations: 794
% 7.03/7.30 Current number of rules: 52
% 7.03/7.30 New rule produced : [53] ifeq2(sum(additive_identity,A,B),true,B,A) <-> A
% 7.03/7.30 Current number of equations to process: 167
% 7.03/7.30 Current number of ordered equations: 793
% 7.03/7.30 Current number of rules: 53
% 7.03/7.30 New rule produced : [54] ifeq2(sum(additive_identity,A,B),true,A,B) <-> B
% 7.03/7.30 Current number of equations to process: 167
% 7.03/7.30 Current number of ordered equations: 792
% 7.03/7.30 Current number of rules: 54
% 7.03/7.30 New rule produced :
% 7.03/7.30 [55] A <-> ifeq2(sum(aPb,additive_inverse(aPc),A),true,aPb_S_IaPc,A)
% 7.03/7.30 Current number of equations to process: 1061
% 11.41/11.65 Current number of ordered equations: 961
% 11.41/11.65 Current number of rules: 55
% 11.41/11.65 New rule produced :
% 11.41/11.65 [56] A <-> ifeq2(sum(b,additive_inverse(c),A),true,bS_Ic,A)
% 11.41/11.65 Current number of equations to process: 1061
% 11.41/11.65 Current number of ordered equations: 960
% 11.41/11.65 Current number of rules: 56
% 11.41/11.65 New rule produced :
% 11.41/11.65 [57] A <-> ifeq2(sum(additive_inverse(aPc),aPb,A),true,aPb_S_IaPc,A)
% 11.41/11.65 Current number of equations to process: 1061
% 11.41/11.65 Current number of ordered equations: 959
% 11.41/11.65 Current number of rules: 57
% 11.41/11.65 New rule produced :
% 11.41/11.65 [58] A <-> ifeq2(sum(additive_inverse(c),b,A),true,bS_Ic,A)
% 11.41/11.65 Current number of equations to process: 1061
% 11.41/11.65 Current number of ordered equations: 958
% 11.41/11.65 Current number of rules: 58
% 11.41/11.65 New rule produced :
% 11.41/11.65 [59] aPb_S_IaPc <-> ifeq2(sum(additive_inverse(aPc),aPb,A),true,A,aPb_S_IaPc)
% 11.41/11.65 Current number of equations to process: 1061
% 11.41/11.65 Current number of ordered equations: 957
% 11.41/11.65 Current number of rules: 59
% 11.41/11.65 New rule produced :
% 11.41/11.65 [60] aPb_S_IaPc <-> ifeq2(sum(aPb,additive_inverse(aPc),A),true,A,aPb_S_IaPc)
% 11.41/11.65 Current number of equations to process: 1061
% 11.41/11.65 Current number of ordered equations: 956
% 11.41/11.65 Current number of rules: 60
% 11.41/11.65 New rule produced :
% 11.41/11.65 [61] B <-> ifeq2(sum(additive_inverse(A),A,B),true,additive_identity,B)
% 11.41/11.65 Current number of equations to process: 1061
% 11.41/11.65 Current number of ordered equations: 955
% 11.41/11.65 Current number of rules: 61
% 11.41/11.65 New rule produced :
% 11.41/11.65 [62] B <-> ifeq2(sum(A,additive_inverse(A),B),true,additive_identity,B)
% 11.41/11.65 Current number of equations to process: 1061
% 11.41/11.65 Current number of ordered equations: 954
% 11.41/11.65 Current number of rules: 62
% 11.41/11.65 New rule produced :
% 11.41/11.65 [63] bS_Ic <-> ifeq2(sum(b,additive_inverse(c),A),true,A,bS_Ic)
% 11.41/11.65 Current number of equations to process: 1061
% 11.41/11.65 Current number of ordered equations: 953
% 11.41/11.65 Current number of rules: 63
% 11.41/11.65 New rule produced :
% 11.41/11.65 [64] bS_Ic <-> ifeq2(sum(additive_inverse(c),b,A),true,A,bS_Ic)
% 11.41/11.65 Current number of equations to process: 1061
% 11.41/11.65 Current number of ordered equations: 952
% 11.41/11.65 Current number of rules: 64
% 11.41/11.65 New rule produced :
% 11.41/11.65 [65]
% 11.41/11.65 additive_identity <->
% 11.41/11.65 ifeq2(sum(additive_inverse(A),A,B),true,B,additive_identity)
% 11.41/11.65 Current number of equations to process: 1061
% 11.41/11.65 Current number of ordered equations: 951
% 11.41/11.65 Current number of rules: 65
% 11.41/11.65 New rule produced :
% 11.41/11.65 [66]
% 11.41/11.65 additive_identity <->
% 11.41/11.65 ifeq2(sum(A,additive_inverse(A),B),true,B,additive_identity)
% 11.41/11.65 Current number of equations to process: 1061
% 11.41/11.65 Current number of ordered equations: 950
% 11.41/11.65 Current number of rules: 66
% 11.41/11.65 New rule produced :
% 11.41/11.65 [67] ifeq2(sum(aPb,additive_inverse(aPc),A),true,aPb_S_IaPc,A) <-> A
% 11.41/11.65 Current number of equations to process: 1061
% 11.41/11.65 Current number of ordered equations: 949
% 11.41/11.65 Current number of rules: 67
% 11.41/11.65 New rule produced :
% 11.41/11.65 [68]
% 11.41/11.65 ifeq2(sum(additive_inverse(A),A,B),true,B,additive_identity) <->
% 11.41/11.65 additive_identity
% 11.41/11.65 Current number of equations to process: 1061
% 11.41/11.65 Current number of ordered equations: 948
% 11.41/11.65 Current number of rules: 68
% 11.41/11.65 New rule produced :
% 11.41/11.65 [69] ifeq2(sum(additive_inverse(A),A,B),true,additive_identity,B) <-> B
% 11.41/11.65 Current number of equations to process: 1061
% 11.41/11.65 Current number of ordered equations: 947
% 11.41/11.65 Current number of rules: 69
% 11.41/11.65 New rule produced :
% 11.41/11.65 [70] ifeq2(sum(b,additive_inverse(c),A),true,A,bS_Ic) <-> bS_Ic
% 11.41/11.65 Current number of equations to process: 1061
% 11.41/11.65 Current number of ordered equations: 946
% 11.41/11.65 Current number of rules: 70
% 11.41/11.65 New rule produced :
% 11.41/11.65 [71] ifeq2(sum(b,additive_inverse(c),A),true,bS_Ic,A) <-> A
% 11.41/11.65 Current number of equations to process: 1061
% 11.41/11.65 Current number of ordered equations: 945
% 11.41/11.65 Current number of rules: 71
% 11.41/11.65 New rule produced :
% 11.41/11.65 [72] ifeq2(sum(additive_inverse(aPc),aPb,A),true,A,aPb_S_IaPc) <-> aPb_S_IaPc
% 11.41/11.65 Current number of equations to process: 1061
% 11.41/11.65 Current number of ordered equations: 944
% 11.41/11.65 Current number of rules: 72
% 11.41/11.65 New rule produced :
% 11.41/11.65 [73] ifeq2(sum(additive_inverse(aPc),aPb,A),true,aPb_S_IaPc,A) <-> A
% 11.41/11.65 Current number of equations to process: 1061
% 11.41/11.65 Current number of ordered equations: 943
% 11.41/11.65 Current number of rules: 73
% 11.41/11.65 New rule produced :
% 11.41/11.65 [74] ifeq2(sum(additive_inverse(c),b,A),true,A,bS_Ic) <-> bS_Ic
% 11.41/11.65 Current number of equations to process: 1061
% 11.41/11.65 Current number of ordered equations: 942
% 11.41/11.65 Current number of rules: 74
% 11.41/11.65 New rule produced :
% 11.41/11.65 [75]
% 11.41/11.65 ifeq2(sum(A,additive_inverse(A),B),true,B,additive_identity) <->
% 11.41/11.65 additive_identity
% 11.41/11.65 Current number of equations to process: 1061
% 34.11/34.36 Current number of ordered equations: 941
% 34.11/34.36 Current number of rules: 75
% 34.11/34.36 New rule produced :
% 34.11/34.36 [76] ifeq2(sum(A,additive_inverse(A),B),true,additive_identity,B) <-> B
% 34.11/34.36 Current number of equations to process: 1061
% 34.11/34.36 Current number of ordered equations: 940
% 34.11/34.36 Current number of rules: 76
% 34.11/34.36 New rule produced :
% 34.11/34.36 [77] ifeq2(sum(additive_inverse(c),b,A),true,bS_Ic,A) <-> A
% 34.11/34.36 Current number of equations to process: 1061
% 34.11/34.36 Current number of ordered equations: 939
% 34.11/34.36 Current number of rules: 77
% 34.11/34.36 New rule produced :
% 34.11/34.36 [78] ifeq2(sum(aPb,additive_inverse(aPc),A),true,A,aPb_S_IaPc) <-> aPb_S_IaPc
% 34.11/34.36 Current number of equations to process: 1061
% 34.11/34.36 Current number of ordered equations: 938
% 34.11/34.36 Current number of rules: 78
% 34.11/34.36 New rule produced : [79] C <-> ifeq2(product(A,B,C),true,multiply(A,B),C)
% 34.11/34.36 Current number of equations to process: 3165
% 34.11/34.36 Current number of ordered equations: 1217
% 34.11/34.36 Current number of rules: 79
% 34.11/34.36 New rule produced : [80] C <-> ifeq2(sum(A,B,C),true,A add B,C)
% 34.11/34.36 Current number of equations to process: 3165
% 34.11/34.36 Current number of ordered equations: 1216
% 34.11/34.36 Current number of rules: 80
% 34.11/34.36 New rule produced : [81] ifeq2(product(A,B,C),true,multiply(A,B),C) <-> C
% 34.11/34.36 Current number of equations to process: 3165
% 34.11/34.36 Current number of ordered equations: 1215
% 34.11/34.36 Current number of rules: 81
% 34.11/34.36 New rule produced : [82] ifeq2(sum(A,B,C),true,A add B,C) <-> C
% 34.11/34.36 Current number of equations to process: 3165
% 34.11/34.36 Current number of ordered equations: 1214
% 34.11/34.36 Current number of rules: 82
% 34.11/34.36 New rule produced : [83] true <-> ifeq(sum(X,Y,Z),true,sum(Y,X,Z),true)
% 34.11/34.36 Current number of equations to process: 3556
% 34.11/34.36 Current number of ordered equations: 1621
% 34.11/34.36 Current number of rules: 83
% 34.11/34.36 New rule produced :
% 34.11/34.36 [84] ifeq2(product(A,B,C),true,C,multiply(A,B)) <-> multiply(A,B)
% 34.11/34.36 Current number of equations to process: 3556
% 34.11/34.36 Current number of ordered equations: 1620
% 34.11/34.36 Current number of rules: 84
% 34.11/34.36 New rule produced : [85] A add B <-> ifeq2(sum(A,B,C),true,C,A add B)
% 34.11/34.36 Current number of equations to process: 3556
% 34.11/34.36 Current number of ordered equations: 1619
% 34.11/34.36 Current number of rules: 85
% 34.11/34.36 New rule produced : [86] ifeq(sum(X,Y,Z),true,sum(Y,X,Z),true) <-> true
% 34.11/34.36 Current number of equations to process: 3556
% 34.11/34.36 Current number of ordered equations: 1618
% 34.11/34.36 Current number of rules: 86
% 34.11/34.36 New rule produced :
% 34.11/34.36 [87] multiply(A,B) <-> ifeq2(product(A,B,C),true,C,multiply(A,B))
% 34.11/34.36 Current number of equations to process: 3556
% 34.11/34.36 Current number of ordered equations: 1617
% 34.11/34.36 Current number of rules: 87
% 34.11/34.36 New rule produced : [88] ifeq2(sum(A,B,C),true,C,A add B) <-> A add B
% 34.11/34.36 Current number of equations to process: 3556
% 34.11/34.36 Current number of ordered equations: 1616
% 34.11/34.36 Current number of rules: 88
% 34.11/34.36 New rule produced :
% 34.11/34.36 [89] true <-> ifeq(sum(A,B,A),true,ifeq(sum(C,B,C),true,true,true),true)
% 34.11/34.36 Current number of equations to process: 2351
% 34.11/34.36 Current number of ordered equations: 4839
% 34.11/34.36 Current number of rules: 89
% 34.11/34.36 New rule produced :
% 34.11/34.36 [90] true <-> ifeq(sum(A,B,C),true,ifeq(sum(B,C,A),true,true,true),true)
% 34.11/34.36 Current number of equations to process: 2351
% 34.11/34.36 Current number of ordered equations: 4838
% 34.11/34.36 Current number of rules: 90
% 34.11/34.36 New rule produced :
% 34.11/34.36 [91] V <-> ifeq2(sum(X,Y,V),true,ifeq2(sum(X,Y,U),true,U,V),V)
% 34.11/34.36 Current number of equations to process: 2351
% 34.11/34.36 Current number of ordered equations: 4837
% 34.11/34.36 Current number of rules: 91
% 34.11/34.36 New rule produced :
% 34.11/34.36 [92] V <-> ifeq2(product(X,Y,V),true,ifeq2(product(X,Y,U),true,U,V),V)
% 34.11/34.36 Current number of equations to process: 2351
% 34.11/34.36 Current number of ordered equations: 4836
% 34.11/34.36 Current number of rules: 92
% 34.11/34.36 New rule produced :
% 34.11/34.36 [93] ifeq(sum(A,B,A),true,ifeq(sum(C,B,C),true,true,true),true) <-> true
% 34.11/34.36 Current number of equations to process: 2351
% 34.11/34.36 Current number of ordered equations: 4835
% 34.11/34.36 Current number of rules: 93
% 34.11/34.36 New rule produced :
% 34.11/34.36 [94] ifeq2(sum(X,Y,V),true,ifeq2(sum(X,Y,U),true,U,V),V) <-> V
% 34.11/34.36 Current number of equations to process: 2351
% 34.11/34.36 Current number of ordered equations: 4834
% 34.11/34.36 Current number of rules: 94
% 34.11/34.36 New rule produced :
% 34.11/34.36 [95] ifeq(sum(A,B,C),true,ifeq(sum(B,C,A),true,true,true),true) <-> true
% 34.11/34.36 Current number of equations to process: 2351
% 34.11/34.36 Current number of ordered equations: 4833
% 34.11/34.36 Current number of rules: 95
% 34.11/34.36 New rule produced :
% 34.11/34.36 [96] ifeq2(product(X,Y,V),true,ifeq2(product(X,Y,U),true,U,V),V) <-> V
% 89.05/89.33 Current number of equations to process: 2351
% 89.05/89.33 Current number of ordered equations: 4832
% 89.05/89.33 Current number of rules: 96
% 89.05/89.33 New rule produced :
% 89.05/89.33 [97]
% 89.05/89.33 true <->
% 89.05/89.33 ifeq(product(A,b,B),true,ifeq(product(C,A,a),true,product(C,B,aPb),true),true)
% 89.05/89.33 Current number of equations to process: 2403
% 89.05/89.33 Current number of ordered equations: 7579
% 89.05/89.33 Current number of rules: 97
% 89.05/89.33 New rule produced :
% 89.05/89.33 [98]
% 89.05/89.33 true <->
% 89.05/89.33 ifeq(product(A,b,B),true,ifeq(product(C,a,A),true,product(C,aPb,B),true),true)
% 89.05/89.33 Current number of equations to process: 2403
% 89.05/89.33 Current number of ordered equations: 7578
% 89.05/89.33 Current number of rules: 98
% 89.05/89.33 New rule produced :
% 89.05/89.33 [99]
% 89.05/89.33 true <->
% 89.05/89.33 ifeq(product(A,c,B),true,ifeq(product(C,A,a),true,product(C,B,aPc),true),true)
% 89.05/89.33 Current number of equations to process: 2403
% 89.05/89.33 Current number of ordered equations: 7577
% 89.05/89.33 Current number of rules: 99
% 89.05/89.33 New rule produced :
% 89.05/89.33 [100]
% 89.05/89.33 true <->
% 89.05/89.33 ifeq(product(A,c,B),true,ifeq(product(C,a,A),true,product(C,aPc,B),true),true)
% 89.05/89.33 Current number of equations to process: 2403
% 89.05/89.33 Current number of ordered equations: 7576
% 89.05/89.33 Current number of rules: 100
% 89.05/89.33 New rule produced :
% 89.05/89.33 [101]
% 89.05/89.33 true <->
% 89.05/89.33 ifeq(product(A,aPc,B),true,ifeq(product(A,a,C),true,product(C,c,B),true),true)
% 89.05/89.33 Current number of equations to process: 2403
% 89.05/89.33 Current number of ordered equations: 7575
% 89.05/89.33 Current number of rules: 101
% 89.05/89.33 New rule produced :
% 89.05/89.33 [102]
% 89.05/89.33 true <->
% 89.05/89.33 ifeq(product(A,B,b),true,ifeq(product(a,A,C),true,product(C,B,aPb),true),true)
% 89.05/89.33 Current number of equations to process: 2403
% 89.05/89.33 Current number of ordered equations: 7574
% 89.05/89.33 Current number of rules: 102
% 89.05/89.33 New rule produced :
% 89.05/89.33 [103]
% 89.05/89.33 true <->
% 89.05/89.33 ifeq(product(aPc,A,B),true,ifeq(product(c,A,C),true,product(a,C,B),true),true)
% 89.05/89.33 Current number of equations to process: 2403
% 89.05/89.33 Current number of ordered equations: 7573
% 89.05/89.33 Current number of rules: 103
% 89.05/89.33 New rule produced :
% 89.05/89.33 [104]
% 89.05/89.33 true <->
% 89.05/89.33 ifeq(sum(A,B,C),true,ifeq(sum(X,A,additive_identity),true,sum(X,C,B),true),true)
% 89.05/89.33 Current number of equations to process: 2403
% 89.05/89.33 Current number of ordered equations: 7572
% 89.05/89.33 Current number of rules: 104
% 89.05/89.33 New rule produced :
% 89.05/89.33 [105]
% 89.05/89.33 true <->
% 89.05/89.33 ifeq(sum(A,B,C),true,ifeq(sum(X,additive_identity,A),true,sum(X,B,C),true),true)
% 89.05/89.33 Current number of equations to process: 2403
% 89.05/89.33 Current number of ordered equations: 7571
% 89.05/89.33 Current number of rules: 105
% 89.05/89.33 New rule produced :
% 89.05/89.33 [106]
% 89.05/89.33 true <->
% 89.05/89.33 ifeq(sum(A,B,C),true,ifeq(sum(A,B,X),true,sum(additive_identity,X,C),true),true)
% 89.05/89.33 Current number of equations to process: 2403
% 89.05/89.33 Current number of ordered equations: 7570
% 89.05/89.33 Current number of rules: 106
% 89.05/89.33 New rule produced :
% 89.05/89.33 [107]
% 89.05/89.33 true <->
% 89.05/89.33 ifeq(sum(A,B,C),true,ifeq(sum(additive_identity,B,X),true,sum(A,X,C),true),true)
% 89.05/89.33 Current number of equations to process: 2403
% 89.05/89.33 Current number of ordered equations: 7569
% 89.05/89.33 Current number of rules: 107
% 89.05/89.33 New rule produced :
% 89.05/89.33 [108]
% 89.05/89.33 true <->
% 89.05/89.33 ifeq(sum(A,B,C),true,ifeq(sum(A,additive_identity,X),true,sum(X,B,C),true),true)
% 89.05/89.33 Current number of equations to process: 2403
% 89.05/89.33 Current number of ordered equations: 7568
% 89.05/89.33 Current number of rules: 108
% 89.05/89.33 New rule produced :
% 89.05/89.33 [109]
% 89.05/89.33 true <->
% 89.05/89.33 ifeq(sum(A,B,C),true,ifeq(sum(additive_identity,A,X),true,sum(X,B,C),true),true)
% 89.05/89.33 Current number of equations to process: 2403
% 89.05/89.33 Current number of ordered equations: 7567
% 89.05/89.33 Current number of rules: 109
% 89.05/89.33 New rule produced :
% 89.05/89.33 [110]
% 89.05/89.33 true <->
% 89.05/89.33 ifeq(sum(A,B,C),true,ifeq(sum(additive_identity,C,X),true,sum(A,B,X),true),true)
% 89.05/89.33 Current number of equations to process: 2403
% 89.05/89.33 Current number of ordered equations: 7566
% 89.05/89.33 Current number of rules: 110
% 89.05/89.33 New rule produced :
% 89.05/89.33 [111]
% 89.05/89.33 true <->
% 89.05/89.33 ifeq(sum(A,B,C),true,ifeq(sum(A,B,X),true,sum(X,additive_identity,C),true),true)
% 89.05/89.33 Current number of equations to process: 2403
% 89.05/89.33 Current number of ordered equations: 7565
% 89.05/89.33 Current number of rules: 111
% 89.05/89.33 New rule produced :
% 89.05/89.33 [112]
% 89.05/89.33 true <->
% 89.05/89.33 ifeq(product(c,A,B),true,ifeq(product(a,B,C),true,product(aPc,A,C),true),true)
% 89.05/89.33 Current number of equations to process: 2403
% 89.05/89.33 Current number of ordered equations: 7564
% 89.05/89.33 Current number of rules: 112
% 89.05/89.33 New rule produced :
% 89.05/89.33 [113]
% 89.05/89.33 true <->
% 89.05/89.33 ifeq(sum(A,B,additive_identity),true,ifeq(sum(C,A,X),true,sum(X,B,C),true),true)
% 89.05/89.33 Current number of equations to process: 2403
% 89.05/89.33 Current number of ordered equations: 7563
% 89.05/89.33 Current number of rules: 113
% 89.05/89.33 New rule produced :
% 89.05/89.33 [114]
% 89.05/89.33 true <->
% 142.28/142.57 ifeq(product(aPb,A,B),true,ifeq(product(b,A,C),true,product(a,C,B),true),true)
% 142.28/142.57 Current number of equations to process: 2403
% 142.28/142.57 Current number of ordered equations: 7562
% 142.28/142.57 Current number of rules: 114
% 142.28/142.57 New rule produced :
% 142.28/142.57 [115]
% 142.28/142.57 true <->
% 142.28/142.57 ifeq(product(b,A,B),true,ifeq(product(a,B,C),true,product(aPb,A,C),true),true)
% 142.28/142.57 Current number of equations to process: 2403
% 142.28/142.57 Current number of ordered equations: 7561
% 142.28/142.57 Current number of rules: 115
% 142.28/142.57 New rule produced :
% 142.28/142.57 [116]
% 142.28/142.57 true <->
% 142.28/142.57 ifeq(sum(A,additive_identity,B),true,ifeq(sum(C,A,X),true,sum(C,B,X),true),true)
% 142.28/142.57 Current number of equations to process: 2403
% 142.28/142.57 Current number of ordered equations: 7560
% 142.28/142.57 Current number of rules: 116
% 142.28/142.57 New rule produced :
% 142.28/142.57 [117]
% 142.28/142.57 true <->
% 142.28/142.57 ifeq(sum(A,additive_identity,B),true,ifeq(sum(C,X,A),true,sum(C,X,B),true),true)
% 142.28/142.57 Current number of equations to process: 2403
% 142.28/142.57 Current number of ordered equations: 7559
% 142.28/142.57 Current number of rules: 117
% 142.28/142.57 New rule produced :
% 142.28/142.57 [118]
% 142.28/142.57 true <->
% 142.28/142.57 ifeq(product(A,B,c),true,ifeq(product(a,A,C),true,product(C,B,aPc),true),true)
% 142.28/142.57 Current number of equations to process: 2403
% 142.28/142.57 Current number of ordered equations: 7558
% 142.28/142.57 Current number of rules: 118
% 142.28/142.57 New rule produced :
% 142.28/142.57 [119]
% 142.28/142.57 true <->
% 142.28/142.57 ifeq(sum(additive_identity,A,B),true,ifeq(sum(C,B,X),true,sum(C,A,X),true),true)
% 142.28/142.57 Current number of equations to process: 2403
% 142.28/142.57 Current number of ordered equations: 7557
% 142.28/142.57 Current number of rules: 119
% 142.28/142.57 New rule produced :
% 142.28/142.57 [120]
% 142.28/142.57 true <->
% 142.28/142.57 ifeq(product(A,aPb,B),true,ifeq(product(A,a,C),true,product(C,b,B),true),true)
% 142.28/142.57 Current number of equations to process: 2403
% 142.28/142.57 Current number of ordered equations: 7556
% 142.28/142.57 Current number of rules: 120
% 142.28/142.57 New rule produced :
% 142.28/142.57 [121]
% 142.28/142.57 ifeq(product(A,b,B),true,ifeq(product(C,A,a),true,product(C,B,aPb),true),true)
% 142.28/142.57 <-> true
% 142.28/142.57 Current number of equations to process: 2403
% 142.28/142.57 Current number of ordered equations: 7555
% 142.28/142.57 Current number of rules: 121
% 142.28/142.57 New rule produced :
% 142.28/142.57 [122]
% 142.28/142.57 ifeq(product(A,b,B),true,ifeq(product(C,a,A),true,product(C,aPb,B),true),true)
% 142.28/142.57 <-> true
% 142.28/142.57 Current number of equations to process: 2403
% 142.28/142.57 Current number of ordered equations: 7554
% 142.28/142.57 Current number of rules: 122
% 142.28/142.57 New rule produced :
% 142.28/142.57 [123]
% 142.28/142.57 ifeq(product(A,c,B),true,ifeq(product(C,A,a),true,product(C,B,aPc),true),true)
% 142.28/142.57 <-> true
% 142.28/142.57 Current number of equations to process: 2403
% 142.28/142.57 Current number of ordered equations: 7553
% 142.28/142.57 Current number of rules: 123
% 142.28/142.57 New rule produced :
% 142.28/142.57 [124]
% 142.28/142.57 ifeq(product(A,c,B),true,ifeq(product(C,a,A),true,product(C,aPc,B),true),true)
% 142.28/142.57 <-> true
% 142.28/142.57 Current number of equations to process: 2403
% 142.28/142.57 Current number of ordered equations: 7552
% 142.28/142.57 Current number of rules: 124
% 142.28/142.57 New rule produced :
% 142.28/142.57 [125]
% 142.28/142.57 ifeq(product(A,aPc,B),true,ifeq(product(A,a,C),true,product(C,c,B),true),true)
% 142.28/142.57 <-> true
% 142.28/142.57 Current number of equations to process: 2403
% 142.28/142.57 Current number of ordered equations: 7551
% 142.28/142.57 Current number of rules: 125
% 142.28/142.57 New rule produced :
% 142.28/142.57 [126]
% 142.28/142.57 ifeq(product(A,B,b),true,ifeq(product(a,A,C),true,product(C,B,aPb),true),true)
% 142.28/142.57 <-> true
% 142.28/142.57 Current number of equations to process: 2403
% 142.28/142.57 Current number of ordered equations: 7550
% 142.28/142.57 Current number of rules: 126
% 142.28/142.57 New rule produced :
% 142.28/142.57 [127]
% 142.28/142.57 ifeq(product(aPc,A,B),true,ifeq(product(c,A,C),true,product(a,C,B),true),true)
% 142.28/142.57 <-> true
% 142.28/142.57 Current number of equations to process: 2403
% 142.28/142.57 Current number of ordered equations: 7549
% 142.28/142.57 Current number of rules: 127
% 142.28/142.57 New rule produced :
% 142.28/142.57 [128]
% 142.28/142.57 ifeq(sum(A,B,C),true,ifeq(sum(X,A,additive_identity),true,sum(X,C,B),true),true)
% 142.28/142.57 <-> true
% 142.28/142.57 Current number of equations to process: 2403
% 142.28/142.57 Current number of ordered equations: 7548
% 142.28/142.57 Current number of rules: 128
% 142.28/142.57 New rule produced :
% 142.28/142.57 [129]
% 142.28/142.57 ifeq(sum(A,B,C),true,ifeq(sum(X,additive_identity,A),true,sum(X,B,C),true),true)
% 142.28/142.57 <-> true
% 142.28/142.57 Current number of equations to process: 2403
% 142.28/142.57 Current number of ordered equations: 7547
% 142.28/142.57 Current number of rules: 129
% 142.28/142.57 New rule produced :
% 142.28/142.57 [130]
% 142.28/142.57 ifeq(sum(A,B,C),true,ifeq(sum(A,B,X),true,sum(additive_identity,X,C),true),true)
% 142.28/142.57 <-> true
% 142.28/142.57 Current number of equations to process: 2403
% 142.28/142.57 Current number of ordered equations: 7546
% 142.28/142.57 Current number of rules: 130
% 142.28/142.57 New rule produced :
% 142.28/142.57 [131]
% 142.28/142.57 ifeq(sum(A,B,C),true,ifeq(sum(additive_identity,B,X),true,sum(A,X,C),true),true)
% 142.28/142.57 <-> true
% 142.28/142.57 Current number of equations to process: 2403
% 142.28/142.57 Current number of ordered equations: 7545
% 142.28/142.57 Current number of rules: 131
% 264.13/264.43 New rule produced :
% 264.13/264.43 [132]
% 264.13/264.43 ifeq(sum(A,B,C),true,ifeq(sum(A,additive_identity,X),true,sum(X,B,C),true),true)
% 264.13/264.43 <-> true
% 264.13/264.43 Current number of equations to process: 2403
% 264.13/264.43 Current number of ordered equations: 7544
% 264.13/264.43 Current number of rules: 132
% 264.13/264.43 New rule produced :
% 264.13/264.43 [133]
% 264.13/264.43 ifeq(sum(A,B,C),true,ifeq(sum(additive_identity,A,X),true,sum(X,B,C),true),true)
% 264.13/264.43 <-> true
% 264.13/264.43 Current number of equations to process: 2403
% 264.13/264.43 Current number of ordered equations: 7543
% 264.13/264.43 Current number of rules: 133
% 264.13/264.43 New rule produced :
% 264.13/264.43 [134]
% 264.13/264.43 ifeq(sum(A,B,C),true,ifeq(sum(additive_identity,C,X),true,sum(A,B,X),true),true)
% 264.13/264.43 <-> true
% 264.13/264.43 Current number of equations to process: 2403
% 264.13/264.43 Current number of ordered equations: 7542
% 264.13/264.43 Current number of rules: 134
% 264.13/264.43 New rule produced :
% 264.13/264.43 [135]
% 264.13/264.43 ifeq(sum(A,B,C),true,ifeq(sum(A,B,X),true,sum(X,additive_identity,C),true),true)
% 264.13/264.43 <-> true
% 264.13/264.43 Current number of equations to process: 2403
% 264.13/264.43 Current number of ordered equations: 7541
% 264.13/264.43 Current number of rules: 135
% 264.13/264.43 New rule produced :
% 264.13/264.43 [136]
% 264.13/264.43 ifeq(product(c,A,B),true,ifeq(product(a,B,C),true,product(aPc,A,C),true),true)
% 264.13/264.43 <-> true
% 264.13/264.43 Current number of equations to process: 2403
% 264.13/264.43 Current number of ordered equations: 7540
% 264.13/264.43 Current number of rules: 136
% 264.13/264.43 New rule produced :
% 264.13/264.43 [137]
% 264.13/264.43 ifeq(sum(A,B,additive_identity),true,ifeq(sum(C,A,X),true,sum(X,B,C),true),true)
% 264.13/264.43 <-> true
% 264.13/264.43 Current number of equations to process: 2403
% 264.13/264.43 Current number of ordered equations: 7539
% 264.13/264.43 Current number of rules: 137
% 264.13/264.43 New rule produced :
% 264.13/264.43 [138]
% 264.13/264.43 ifeq(product(aPb,A,B),true,ifeq(product(b,A,C),true,product(a,C,B),true),true)
% 264.13/264.43 <-> true
% 264.13/264.43 Current number of equations to process: 2403
% 264.13/264.43 Current number of ordered equations: 7538
% 264.13/264.43 Current number of rules: 138
% 264.13/264.43 New rule produced :
% 264.13/264.43 [139]
% 264.13/264.43 ifeq(product(b,A,B),true,ifeq(product(a,B,C),true,product(aPb,A,C),true),true)
% 264.13/264.43 <-> true
% 264.13/264.43 Current number of equations to process: 2403
% 264.13/264.43 Current number of ordered equations: 7537
% 264.13/264.43 Current number of rules: 139
% 264.13/264.43 New rule produced :
% 264.13/264.43 [140]
% 264.13/264.43 ifeq(sum(A,additive_identity,B),true,ifeq(sum(C,A,X),true,sum(C,B,X),true),true)
% 264.13/264.43 <-> true
% 264.13/264.43 Current number of equations to process: 2403
% 264.13/264.43 Current number of ordered equations: 7536
% 264.13/264.43 Current number of rules: 140
% 264.13/264.43 New rule produced :
% 264.13/264.43 [141]
% 264.13/264.43 ifeq(sum(A,additive_identity,B),true,ifeq(sum(C,X,A),true,sum(C,X,B),true),true)
% 264.13/264.43 <-> true
% 264.13/264.43 Current number of equations to process: 2403
% 264.13/264.43 Current number of ordered equations: 7535
% 264.13/264.43 Current number of rules: 141
% 264.13/264.43 New rule produced :
% 264.13/264.43 [142]
% 264.13/264.43 ifeq(product(A,B,c),true,ifeq(product(a,A,C),true,product(C,B,aPc),true),true)
% 264.13/264.43 <-> true
% 264.13/264.43 Current number of equations to process: 2403
% 264.13/264.43 Current number of ordered equations: 7534
% 264.13/264.43 Current number of rules: 142
% 264.13/264.43 New rule produced :
% 264.13/264.43 [143]
% 264.13/264.43 ifeq(sum(additive_identity,A,B),true,ifeq(sum(C,B,X),true,sum(C,A,X),true),true)
% 264.13/264.43 <-> true
% 264.13/264.43 Current number of equations to process: 2403
% 264.13/264.43 Current number of ordered equations: 7533
% 264.13/264.43 Current number of rules: 143
% 264.13/264.43 New rule produced :
% 264.13/264.43 [144]
% 264.13/264.43 ifeq(product(A,aPb,B),true,ifeq(product(A,a,C),true,product(C,b,B),true),true)
% 264.13/264.43 <-> true
% 264.13/264.43 Current number of equations to process: 2403
% 264.13/264.43 Current number of ordered equations: 7532
% 264.13/264.43 Current number of rules: 144
% 264.13/264.43 New rule produced :
% 264.13/264.43 [145]
% 264.13/264.43 true <->
% 264.13/264.43 ifeq(sum(A,b,B),true,ifeq(sum(C,A,additive_inverse(c)),true,sum(C,B,bS_Ic),true),true)
% 264.13/264.43 Current number of equations to process: 3093
% 264.13/264.43 Current number of ordered equations: 8953
% 264.13/264.43 Current number of rules: 145
% 264.13/264.43 New rule produced :
% 264.13/264.43 [146]
% 264.13/264.43 true <->
% 264.13/264.43 ifeq(sum(A,b,B),true,ifeq(sum(C,additive_inverse(c),A),true,sum(C,bS_Ic,B),true),true)
% 264.13/264.43 Current number of equations to process: 3093
% 264.13/264.43 Current number of ordered equations: 8952
% 264.13/264.43 Current number of rules: 146
% 264.13/264.43 New rule produced :
% 264.13/264.43 [147]
% 264.13/264.43 true <->
% 264.13/264.43 ifeq(sum(bS_Ic,A,B),true,ifeq(sum(additive_inverse(c),A,C),true,sum(b,C,B),true),true)
% 264.13/264.43 Current number of equations to process: 3093
% 264.13/264.43 Current number of ordered equations: 8951
% 264.13/264.43 Current number of rules: 147
% 264.13/264.43 New rule produced :
% 264.13/264.43 [148]
% 264.13/264.43 true <->
% 264.13/264.43 ifeq(sum(A,additive_inverse(c),B),true,ifeq(sum(C,A,b),true,sum(C,B,bS_Ic),true),true)
% 264.13/264.43 Current number of equations to process: 3093
% 264.13/264.43 Current number of ordered equations: 8950
% 264.13/264.43 Current number of rules: 148
% 264.13/264.43 New rule produced :
% 264.13/264.43 [149]
% 264.13/264.43 true <->
% 264.13/264.43 ifeq(sum(A,additive_inverse(c),B),true,ifeq(sum(C,b,A),true,sum(C,bS_Ic,B),true)
%------------------------------------------------------------------------------